From 20efaeda62dfbb42e1e0ab1f3ff0ac4028d9fca5 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 12:30:10 +0530
Subject: [PATCH 01/32] feat: add `fft/base/fftpack/generic/decompose`

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
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    status: na
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    status: passed
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    status: passed
  - task: lint_javascript_src
    status: passed
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    status: na
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---
---
 .../base/fftpack/generic/decompose/README.md  | 142 +++++++++++++
 .../generic/decompose/benchmark/benchmark.js  | 107 ++++++++++
 .../fftpack/generic/decompose/docs/repl.txt   |  55 +++++
 .../generic/decompose/docs/types/index.d.ts   |  50 +++++
 .../generic/decompose/docs/types/test.ts      | 162 +++++++++++++++
 .../generic/decompose/examples/index.js       |  35 ++++
 .../fftpack/generic/decompose/lib/index.js    |  54 +++++
 .../fftpack/generic/decompose/lib/main.js     | 196 ++++++++++++++++++
 .../fftpack/generic/decompose/package.json    |  64 ++++++
 .../fftpack/generic/decompose/test/test.js    | 128 ++++++++++++
 10 files changed, 993 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/README.md
new file mode 100644
index 000000000000..a53419508ac9
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/README.md
@@ -0,0 +1,142 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# decompose
+
+> Factorize a sequence length into a product of integers.
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
+```
+
+#### decompose( N, M, initial, si, oi, out, so, oo )
+
+Factorizes a sequence length into a product of integers.
+
+```javascript
+var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
+var N = 630;
+var factors = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
+// returns 5
+
+console.log( factors );
+// => [ 630, 5, 2, 3, 3, 5, 7 ]
+```
+
+The function accepts the following arguments:
+
+-   **N**: length of the sequence.
+-   **M**: number of trial divisors.
+-   **initial**: array of initial trial divisors.
+-   **si**: stride length for `initial`.
+-   **oi**: starting index for `initial`.
+-   **out**: output array for storing factorization results.
+-   **so**: stride length for `out`.
+-   **oo**: starting index for `out`.
+
+The function returns the number of factors into which `N` was decomposed.
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   Factorization results are stored in the output array as follows:
+
+    ```text
+    [ sequence_length | number_of_factors | integer_factors | unused_storage ]
+    ```
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
+
+var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
+var factors = [ 0, 0, 0, 0 ];
+
+var nf = decompose( 12, 4, initial, 1, 0, factors, 1, 0 );
+
+console.log( 'Sequence length: %d', 12 );
+console.log( 'Number of factors: %d', nf );
+
+console.log( 'Factors:' );
+var j;
+for ( j = 0; j < nf; j++ ) {
+    console.log( '  %d', factors[ j+2 ] );
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/benchmark/benchmark.js
new file mode 100644
index 000000000000..604afa551b4e
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/benchmark/benchmark.js
@@ -0,0 +1,107 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var log2 = require( '@stdlib/math/base/special/log2' );
+var zeros = require( '@stdlib/array/zeros' );
+var pkg = require( './../package.json' ).name;
+var decompose = require( './../lib' );
+
+
+// VARIABLES //
+
+var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var factors = zeros( 2 + floor( log2( N ) ) );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var d;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			d = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
+			if ( isnan( d ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( d ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		12,
+		24,
+		36,
+		48,
+		60,
+		120
+	];
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( N );
+		bench( format( '%s:N=%d', pkg, N ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/repl.txt
new file mode 100644
index 000000000000..964ed8270c71
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/repl.txt
@@ -0,0 +1,55 @@
+
+{{alias}}( N, M, initial, si, oi, out, so, oo )
+    Factorizes a sequence length into a product of integers.
+
+    Factorization results are stored in the output array sequentially, where
+    the first element contains the sequence length N, the second element
+    contains the number of factors into which N was decomposed, and subsequent
+    elements contain the individual integer factors.
+
+    Any remaining array space remains as unused storage.
+
+    Parameters
+    ----------
+    N: integer
+        Length of the sequence.
+
+    M: integer
+        Number of trial divisors.
+
+    initial: ArrayLikeObject<number>
+        Array of initial trial divisors.
+
+    si: integer
+        Stride length for `initial`.
+
+    oi: integer
+        Starting index for `initial`.
+
+    out: ArrayLikeObject<number>
+        Output array for storing factorization results.
+
+    so: integer
+        Stride length for `out`.
+
+    oo: integer
+        Starting index for `out`.
+
+    Returns
+    -------
+    numFactors: integer
+        Number of factors into which N was decomposed.
+
+    Examples
+    --------
+    > var N = 630;
+    > var initial = [ 3, 4, 2, 5 ];
+    > var factors = [ 0, 0, 0, 0, 0, 0, 0 ];
+    > var numFactors = {{alias}}( N, 4, initial, 1, 0, factors, 1, 0 )
+    5
+    > factors
+    [ 630, 5, 2, 3, 3, 5, 7 ]
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/types/index.d.ts
new file mode 100644
index 000000000000..686266a120ed
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/types/index.d.ts
@@ -0,0 +1,50 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Factorizes a sequence length into a product of integers.
+*
+* @param N - length of the sequence
+* @param M - number of trial divisors
+* @param initial - array of initial trial divisors
+* @param si - stride length for `initial`
+* @param oi - starting index for `initial`
+* @param out - output array for storing factorization results
+* @param so - stride length for `out`
+* @param oo - starting index for `out`
+* @returns number of factors into which `N` was decomposed
+*
+* @example
+* var initial = new Float64Array( [ 3, 4, 2, 5 ] );
+* var factors = new Float64Array( 4 );
+*
+* var numFactors = decompose( 12, 4, initial, 1, 0, factors, 1, 0 );
+* // returns 2
+*/
+declare function decompose( N: number, M: number, initial: Collection<number>, si: number, oi: number, out: Collection<number>, so: number, oo: number ): number;
+
+
+// EXPORTS //
+
+export = decompose;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/types/test.ts
new file mode 100644
index 000000000000..011b915a8882
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/docs/types/test.ts
@@ -0,0 +1,162 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import decompose = require( './index' );
+
+// TESTS //
+
+// The function returns a number...
+{
+	const initial = [ 3, 4, 2, 5 ];
+	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+	decompose( 12, 4, initial, 1, 0, out, 1, 0 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+	const initial = [ 3, 4, 2, 5 ];
+	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+	decompose( '12', 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( true, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( false, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( null, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( void 0, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( [], 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( {}, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( ( x: number ): number => x, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a number...
+{
+	const initial = [ 3, 4, 2, 5 ];
+	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+	decompose( 12, '4', initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, true, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, false, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, null, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, void 0, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, [], initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, {}, initial, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, ( x: number ): number => x, initial, 1, 0, out, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not an array of numbers...
+{
+	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+	decompose( 12, 4, '4,2,3,5', 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, 5, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, true, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, false, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, null, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, void 0, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, {}, 1, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, ( x: number ): number => x, 1, 0, out, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+	const initial = [ 3, 4, 2, 5 ];
+	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+	decompose( 12, 4, initial, '1', 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, true, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, false, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, null, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, void 0, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, [], 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, {}, 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, ( x: number ): number => x, 0, out, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a number...
+{
+	const initial = [ 3, 4, 2, 5 ];
+	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+	decompose( 12, 4, initial, 1, '0', out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, true, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, false, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, null, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, void 0, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, [], out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, {}, out, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, ( x: number ): number => x, out, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not an array...
+{
+	const initial = [ 3, 4, 2, 5 ];
+
+	decompose( 12, 4, initial, 1, 0, 123, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, true, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, false, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, null, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, void 0, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, {}, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a seventh argument which is not a number...
+{
+	const initial = [ 3, 4, 2, 5 ];
+	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+	decompose( 12, 4, initial, 1, 0, out, '1', 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, true, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, false, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, null, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, void 0, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, [], 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, {}, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eighth argument which is not a number...
+{
+	const initial = [ 3, 4, 2, 5 ];
+	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+	decompose( 12, 4, initial, 1, 0, out, 1, '0' ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, 1, true ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, 1, false ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, 1, null ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, 1, void 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, 1, [] ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, 1, {} ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const initial = [ 3, 4, 2, 5 ];
+	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
+
+	decompose(); // $ExpectError
+	decompose( 12 ); // $ExpectError
+	decompose( 12, 4 ); // $ExpectError
+	decompose( 12, 4, initial ); // $ExpectError
+	decompose( 12, 4, initial, 1 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, 1 ); // $ExpectError
+	decompose( 12, 4, initial, 1, 0, out, 1, 0, 123 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/examples/index.js
new file mode 100644
index 000000000000..11005ed1d37f
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/examples/index.js
@@ -0,0 +1,35 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var decompose = require( './../lib' );
+
+var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
+var factors = [ 0, 0, 0, 0 ];
+
+var nf = decompose( 12, 4, initial, 1, 0, factors, 1, 0 );
+
+console.log( 'Sequence length: %d', 12 );
+console.log( 'Number of factors: %d', nf );
+
+console.log( 'Factors:' );
+var j;
+for ( j = 0; j < nf; j++ ) {
+	console.log( '  %d', factors[ j+2 ] );
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/lib/index.js
new file mode 100644
index 000000000000..2bdd0c85aa14
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/lib/index.js
@@ -0,0 +1,54 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Factorize a sequence length into a product of integers.
+*
+* @module @stdlib/fft/base/fftpack/generic/decompose
+*
+* @example
+* var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
+*
+* var N = 630;
+* var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
+* var factors = [ 0, 0, 0, 0, 0, 0, 0 ];
+*
+* var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
+* // returns 5
+*
+* @example
+* var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
+*
+* var N = 12;
+* var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
+* var factors = [ 0, 0, 0, 0 ];
+*
+* var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
+* // returns 2
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/lib/main.js
new file mode 100644
index 000000000000..921f8db5ecaa
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/lib/main.js
@@ -0,0 +1,196 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var floor = require( '@stdlib/math/base/special/floor' );
+
+
+// MAIN //
+
+/**
+* Factorizes a sequence length into a product of integers.
+*
+* ## Notes
+*
+* -   Factorization results are stored in the output array as follows:
+*
+*     ```text
+*     [ sequence_length | number_of_factors | integer_factors | unused_storage ]
+*     ```
+*
+* @param {NonNegativeInteger} N - length of the sequence
+* @param {NonNegativeInteger} M - number of trial divisors
+* @param {Collection} initial - strided array of initial trial divisors
+* @param {integer} si - stride length for `initial`
+* @param {NonNegativeInteger} oi - starting index for `initial`
+* @param {Collection} out - output array for storing factorization results
+* @param {integer} so - stride length for `out`
+* @param {NonNegativeInteger} oo - starting index for `out`
+* @returns {NonNegativeInteger} number of factors into which `N` was decomposed
+*
+* @example
+* var N = 630;
+* var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
+* var factors = [ 0, 0, 0, 0, 0, 0, 0 ];
+*
+* var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
+* // returns 5
+*
+* var f = factors.slice();
+* // returns [ 630, 5, 2, 3, 3, 5, 7 ]
+*
+* @example
+* var N = 8;
+* var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
+* var factors = [ 0, 0, 0, 0 ];
+*
+* var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
+* // returns 2
+*
+* var f = factors.slice();
+* // returns [ 8, 2, 2, 4 ]
+*/
+function decompose( N, M, initial, si, oi, out, so, oo ) {
+	var divisor;
+	var ntrials;
+	var nl;
+	var nf;
+	var nq;
+	var nr;
+	var ib;
+	var i;
+	var j;
+
+	if ( N === 0 ) {
+		out[ oo ] = N;
+		out[ oo+so ] = 0;
+		return 0;
+	}
+
+	// Resolve the number of trial divisors:
+	ntrials = M;
+
+	// Initialize a variable for storing a trial divisor:
+	divisor = 0;
+
+	// Initialize a variable for storing a sub-sequence length:
+	nl = N;
+
+	// Initialize a variable for keeping track of the number of factors into which `N` decomposes:
+	nf = 0;
+
+	j = 0;
+	do {
+		if ( j < ntrials ) {
+			divisor = initial[ oi + (j * si) ];
+		} else {
+			divisor += 2;
+		}
+		j += 1;
+		while ( true ) {
+			// Compute the integer quotient:
+			nq = floor( nl / divisor );
+
+			// Compute the remainder:
+			nr = nl - ( divisor * nq );
+
+			// If the divisor did not evenly divide the current sub-sequence length, try a new divisor...
+			if ( nr !== 0 ) {
+				break;
+			}
+			// We found a new factor:
+			nf += 1;
+
+			// Update the sub-sequence length:
+			nl = nq;
+
+			// Store the factor in the output array:
+			out[ oo+((nf+1)*so) ] = divisor;
+
+			// When the divisor is `2` and we've already found other factors, shift the other factors right to make room for the most recent `2` factor...
+			if ( divisor === 2 && nf !== 1 ) {
+				for ( i = 2; i <= nf; i++ ) {
+					ib = nf - i + 2;
+					out[ oo+((ib+1)*so) ] = out[ oo + (ib*so) ];
+				}
+				out[ oo+(2*so) ] = 2;
+			}
+			// If we cannot further divide the sequence length into smaller sub-sequences, we're done...
+			if ( nl === 1 ) {
+				break;
+			}
+		}
+	} while ( nl !== 1 );
+
+	// Store the sequence length:
+	out[ oo ] = N;
+
+	// Store the number of factors:
+	out[ oo+so ] = nf;
+
+	// Return the number of factors:
+	return nf;
+}
+
+
+// EXPORTS //
+
+module.exports = decompose;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/package.json
new file mode 100644
index 000000000000..74b6c1d0d0e4
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/package.json
@@ -0,0 +1,64 @@
+{
+  "name": "@stdlib/fft/base/fftpack/generic/decompose",
+  "version": "0.0.0",
+  "description": "Factorize a sequence length into a product of integers.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "fft",
+    "fftpack",
+    "decompose",
+    "factorization",
+    "factorize",
+    "factor",
+    "prime",
+    "sequence",
+    "product"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/test/test.js
new file mode 100644
index 000000000000..d5088dbe227b
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/decompose/test/test.js
@@ -0,0 +1,128 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var decompose = require( './../lib' );
+
+
+// VARIABLES //
+
+var INITIAL = [ 3, 4, 2, 5 ]; // as found in FFTPACK
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof decompose, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 8', function test( t ) {
+	t.strictEqual( decompose.length, 8, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function correctly factorizes a sequence length into a product of integers', function test( t ) {
+	var factors;
+	var nf;
+
+	factors = [ 0, 0, 0, 0, 0, 0, 0 ];
+	nf = decompose( 630, 4, INITIAL, 1, 0, factors, 1, 0 );
+
+	t.strictEqual( nf, 5, 'returns expected value' );
+	t.strictEqual( factors[ 0 ], 630, 'returns expected value' );
+	t.strictEqual( factors[ 1 ], 5, 'returns expected value' );
+	t.strictEqual( factors[ 2 ], 2, 'returns expected value' );
+	t.strictEqual( factors[ 3 ], 3, 'returns expected value' );
+	t.strictEqual( factors[ 4 ], 3, 'returns expected value' );
+	t.strictEqual( factors[ 5 ], 5, 'returns expected value' );
+	t.strictEqual( factors[ 6 ], 7, 'returns expected value' );
+
+	factors = [ 0, 0, 0, 0 ];
+	nf = decompose( 8, 4, INITIAL, 1, 0, factors, 1, 0 );
+
+	t.strictEqual( nf, 2, 'returns expected value' );
+	t.strictEqual( factors[ 0 ], 8, 'returns expected value' );
+	t.strictEqual( factors[ 1 ], 2, 'returns expected value' );
+	t.strictEqual( factors[ 2 ], 2, 'returns expected value' );
+	t.strictEqual( factors[ 3 ], 4, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'the function correctly factorizes prime numbers', function test( t ) {
+	var primesList;
+	var factors;
+	var nf;
+	var i;
+
+	// First 10 prime numbers:
+	primesList = [ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 ];
+
+	for ( i = 0; i < primesList.length; i++ ) {
+		factors = [ 0, 0, 0 ];
+		nf = decompose( primesList[ i ], 4, INITIAL, 1, 0, factors, 1, 0 );
+
+		t.strictEqual( nf, 1, 'returns expected value for ' + primesList[ i ] );
+		t.strictEqual( factors[ 0 ], primesList[ i ], 'returns expected value' );
+		t.strictEqual( factors[ 1 ], 1, 'returns expected value' );
+		t.strictEqual( factors[ 2 ], primesList[ i ], 'returns expected value' );
+	}
+
+	t.end();
+});
+
+tape( 'the function returns expected results when provided a sequence length of 0', function test( t ) {
+	var factors;
+	var nf;
+
+	factors = [ 0, 0 ];
+	nf = decompose( 0, 4, INITIAL, 1, 0, factors, 1, 0 );
+
+	t.strictEqual( nf, 0, 'returns expected value' );
+	t.strictEqual( factors[ 0 ], 0, 'returns expected value' );
+	t.strictEqual( factors[ 1 ], 0, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'the function correctly handles stride and offset parameters', function test( t ) {
+	var expected;
+	var factors;
+	var so;
+	var oo;
+	var nf;
+
+	factors = [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ];
+
+	so = 2;
+	oo = 1;
+	nf = decompose( 12, 4, INITIAL, 1, 0, factors, so, oo );
+
+	expected = [ 0, 12, 0, 2, 0, 3, 0, 4, 0, 0, 0 ];
+
+	t.strictEqual( nf, 2, 'returns expected value' );
+	t.deepEqual( factors, expected, 'returns expected value' );
+
+	t.end();
+});

From 45d5ac3f3dd7868803effd37af219f7fcd0ac992 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 12:33:11 +0530
Subject: [PATCH 02/32] remove: remove `decompose` from namespace

This commit removes the `decompose` symbol from the
`@stdlib/fft/base/fftpack` namespace due to a package migration.

BREAKING CHANGE: remove `decompose`

To migrate, users should access the same symbol via the
`@stdlib/fft/base/fftpack/generic` namespace.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
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    status: na
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    status: na
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    status: passed
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    status: passed
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    status: passed
---
---
 .../fft/base/fftpack/docs/types/index.d.ts    | 23 -------------------
 .../@stdlib/fft/base/fftpack/lib/index.js     |  9 --------
 2 files changed, 32 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
index a628f4d39fce..4c2fc99b4194 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
@@ -23,7 +23,6 @@
 import cffti = require( '@stdlib/fft/base/fftpack/cffti' );
 import cosqi = require( '@stdlib/fft/base/fftpack/cosqi' );
 import costi = require( '@stdlib/fft/base/fftpack/costi' );
-import decompose = require( '@stdlib/fft/base/fftpack/decompose' );
 import rffti = require( '@stdlib/fft/base/fftpack/rffti' );
 import sinqi = require( '@stdlib/fft/base/fftpack/sinqi' );
 import sinti = require( '@stdlib/fft/base/fftpack/sinti' );
@@ -138,28 +137,6 @@ interface Namespace {
 	*/
 	costi: typeof costi;
 
-	/**
-	* Factorizes a sequence length into a product of integers.
-	*
-	* @param N - length of the sequence
-	* @param M - number of trial divisors
-	* @param initial - array of initial trial divisors
-	* @param si - stride length for `initial`
-	* @param oi - starting index for `initial`
-	* @param out - output array for storing factorization results
-	* @param so - stride length for `out`
-	* @param oo - starting index for `out`
-	* @returns number of factors into which `N` was decomposed
-	*
-	* @example
-	* var initial = new Float64Array( [ 3, 4, 2, 5 ] );
-	* var factors = new Float64Array( 4 );
-	*
-	* var numFactors = ns.decompose( 12, 4, initial, 1, 0, factors, 1, 0 );
-	* // returns 2
-	*/
-	decompose: typeof decompose;
-
 	/**
 	* Initializes a workspace array for performing a real-valued Fourier transform.
 	*
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
index 0c5488fd1d9d..7369d79be20c 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
@@ -67,15 +67,6 @@ setReadOnly( ns, 'cosqi', require( '@stdlib/fft/base/fftpack/cosqi' ) );
 */
 setReadOnly( ns, 'costi', require( '@stdlib/fft/base/fftpack/costi' ) );
 
-/**
-* @name decompose
-* @memberof ns
-* @readonly
-* @type {Function}
-* @see {@link module:@stdlib/fft/base/fftpack/decompose}
-*/
-setReadOnly( ns, 'decompose', require( '@stdlib/fft/base/fftpack/decompose' ) );
-
 /**
 * @name rffti
 * @memberof ns

From 47268120a4184152fa78d49b47b97e3bd5738bcd Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 12:50:36 +0530
Subject: [PATCH 03/32] refactor: update paths

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
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    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
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    status: na
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    status: na
  - task: lint_javascript_benchmarks
    status: na
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    status: na
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    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/cffti1.js | 2 +-
 lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/rffti1.js | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/cffti1.js b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/cffti1.js
index 46959d31a6b3..339bb68645e2 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/cffti1.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/cffti1.js
@@ -65,7 +65,7 @@
 var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
 var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
 var floor = require( '@stdlib/math/base/special/floor' );
-var decompose = require( '@stdlib/fft/base/fftpack/decompose' );
+var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
 
 
 // VARIABLES //
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/rffti1.js b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/rffti1.js
index ba401e085efc..cafc381f7dd5 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/rffti1.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/rffti1.js
@@ -63,7 +63,7 @@
 var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
 var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
 var floor = require( '@stdlib/math/base/special/floor' );
-var decompose = require( '@stdlib/fft/base/fftpack/decompose' );
+var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
 
 
 // VARIABLES //

From 05e0c4a4a273f7bf6faad2252e92705cc98efce4 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 12:54:02 +0530
Subject: [PATCH 04/32] remove: remove `fft/base/fftpack/decompose`

This commit removes `@stdlib/fft/base/fftpack/decompose` in favor of `@stdlib/fft/base/fftpack/generic/decompose`.

BREAKING CHANGE: remove `fft/base/fftpack/decompose`

To migrate, users should update their require/import paths to use `@stdlib/fft/base/fftpack/generic/decompose` which provides the same API and implementation.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/decompose/README.md      | 142 -------------
 .../fftpack/decompose/benchmark/benchmark.js  | 107 ----------
 .../fft/base/fftpack/decompose/docs/repl.txt  |  55 -----
 .../fftpack/decompose/docs/types/index.d.ts   |  50 -----
 .../base/fftpack/decompose/docs/types/test.ts | 162 ---------------
 .../base/fftpack/decompose/examples/index.js  |  35 ----
 .../fft/base/fftpack/decompose/lib/index.js   |  54 -----
 .../fft/base/fftpack/decompose/lib/main.js    | 196 ------------------
 .../fft/base/fftpack/decompose/package.json   |  64 ------
 .../fft/base/fftpack/decompose/test/test.js   | 128 ------------
 10 files changed, 993 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/README.md
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/benchmark/benchmark.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/repl.txt
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/types/index.d.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/types/test.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/examples/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/lib/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/lib/main.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/package.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/decompose/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/README.md
deleted file mode 100644
index af5c32205bfc..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/README.md
+++ /dev/null
@@ -1,142 +0,0 @@
-<!--
-
-@license Apache-2.0
-
-Copyright (c) 2026 The Stdlib Authors.
-
-Licensed under the Apache License, Version 2.0 (the "License");
-you may not use this file except in compliance with the License.
-You may obtain a copy of the License at
-
-   http://www.apache.org/licenses/LICENSE-2.0
-
-Unless required by applicable law or agreed to in writing, software
-distributed under the License is distributed on an "AS IS" BASIS,
-WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-See the License for the specific language governing permissions and
-limitations under the License.
-
--->
-
-# decompose
-
-> Factorize a sequence length into a product of integers.
-
-<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
-
-<section class="intro">
-
-</section>
-
-<!-- /.intro -->
-
-<!-- Package usage documentation. -->
-
-<section class="usage">
-
-## Usage
-
-```javascript
-var decompose = require( '@stdlib/fft/base/fftpack/decompose' );
-```
-
-#### decompose( N, M, initial, si, oi, out, so, oo )
-
-Factorizes a sequence length into a product of integers.
-
-```javascript
-var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
-var N = 630;
-var factors = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
-// returns 5
-
-console.log( factors );
-// => [ 630, 5, 2, 3, 3, 5, 7 ]
-```
-
-The function accepts the following arguments:
-
--   **N**: length of the sequence.
--   **M**: number of trial divisors.
--   **initial**: array of initial trial divisors.
--   **si**: stride length for `initial`.
--   **oi**: starting index for `initial`.
--   **out**: output array for storing factorization results.
--   **so**: stride length for `out`.
--   **oo**: starting index for `out`.
-
-The function returns the number of factors into which `N` was decomposed.
-
-</section>
-
-<!-- /.usage -->
-
-<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="notes">
-
-## Notes
-
--   Factorization results are stored in the output array as follows:
-
-    ```text
-    [ sequence_length | number_of_factors | integer_factors | unused_storage ]
-    ```
-
-</section>
-
-<!-- /.notes -->
-
-<section class="examples">
-
-## Examples
-
-<!-- eslint no-undef: "error" -->
-
-```javascript
-var decompose = require( '@stdlib/fft/base/fftpack/decompose' );
-
-var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
-var factors = [ 0, 0, 0, 0 ];
-
-var nf = decompose( 12, 4, initial, 1, 0, factors, 1, 0 );
-
-console.log( 'Sequence length: %d', 12 );
-console.log( 'Number of factors: %d', nf );
-
-console.log( 'Factors:' );
-var j;
-for ( j = 0; j < nf; j++ ) {
-    console.log( '  %d', factors[ j+2 ] );
-}
-```
-
-</section>
-
-<!-- /.examples -->
-
-<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="references">
-
-</section>
-
-<!-- /.references -->
-
-<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
-
-<section class="related">
-
-</section>
-
-<!-- /.related -->
-
-<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="links">
-
-</section>
-
-<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/benchmark/benchmark.js
deleted file mode 100644
index 604afa551b4e..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/benchmark/benchmark.js
+++ /dev/null
@@ -1,107 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var bench = require( '@stdlib/bench' );
-var format = require( '@stdlib/string/format' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var log2 = require( '@stdlib/math/base/special/log2' );
-var zeros = require( '@stdlib/array/zeros' );
-var pkg = require( './../package.json' ).name;
-var decompose = require( './../lib' );
-
-
-// VARIABLES //
-
-var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
-
-
-// FUNCTIONS //
-
-/**
-* Creates a benchmark function.
-*
-* @private
-* @param {PositiveInteger} N - sequence length
-* @returns {Function} benchmark function
-*/
-function createBenchmark( N ) {
-	var factors = zeros( 2 + floor( log2( N ) ) );
-	return benchmark;
-
-	/**
-	* Benchmark function.
-	*
-	* @private
-	* @param {Benchmark} b - benchmark instance
-	*/
-	function benchmark( b ) {
-		var d;
-		var i;
-
-		b.tic();
-		for ( i = 0; i < b.iterations; i++ ) {
-			d = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
-			if ( isnan( d ) ) {
-				b.fail( 'should not return NaN' );
-			}
-		}
-		b.toc();
-		if ( isnan( d ) ) {
-			b.fail( 'should not return NaN' );
-		}
-		b.pass( 'benchmark finished' );
-		b.end();
-	}
-}
-
-
-// MAIN //
-
-/**
-* Main execution sequence.
-*
-* @private
-*/
-function main() {
-	var lengths;
-	var N;
-	var f;
-	var i;
-
-	lengths = [
-		12,
-		24,
-		36,
-		48,
-		60,
-		120
-	];
-
-	for ( i = 0; i < lengths.length; i++ ) {
-		N = lengths[ i ];
-		f = createBenchmark( N );
-		bench( format( '%s:N=%d', pkg, N ), f );
-	}
-}
-
-main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/repl.txt
deleted file mode 100644
index 964ed8270c71..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/repl.txt
+++ /dev/null
@@ -1,55 +0,0 @@
-
-{{alias}}( N, M, initial, si, oi, out, so, oo )
-    Factorizes a sequence length into a product of integers.
-
-    Factorization results are stored in the output array sequentially, where
-    the first element contains the sequence length N, the second element
-    contains the number of factors into which N was decomposed, and subsequent
-    elements contain the individual integer factors.
-
-    Any remaining array space remains as unused storage.
-
-    Parameters
-    ----------
-    N: integer
-        Length of the sequence.
-
-    M: integer
-        Number of trial divisors.
-
-    initial: ArrayLikeObject<number>
-        Array of initial trial divisors.
-
-    si: integer
-        Stride length for `initial`.
-
-    oi: integer
-        Starting index for `initial`.
-
-    out: ArrayLikeObject<number>
-        Output array for storing factorization results.
-
-    so: integer
-        Stride length for `out`.
-
-    oo: integer
-        Starting index for `out`.
-
-    Returns
-    -------
-    numFactors: integer
-        Number of factors into which N was decomposed.
-
-    Examples
-    --------
-    > var N = 630;
-    > var initial = [ 3, 4, 2, 5 ];
-    > var factors = [ 0, 0, 0, 0, 0, 0, 0 ];
-    > var numFactors = {{alias}}( N, 4, initial, 1, 0, factors, 1, 0 )
-    5
-    > factors
-    [ 630, 5, 2, 3, 3, 5, 7 ]
-
-    See Also
-    --------
-
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/types/index.d.ts
deleted file mode 100644
index 686266a120ed..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/types/index.d.ts
+++ /dev/null
@@ -1,50 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-// TypeScript Version: 4.1
-
-/// <reference types="@stdlib/types"/>
-
-import { Collection } from '@stdlib/types/array';
-
-/**
-* Factorizes a sequence length into a product of integers.
-*
-* @param N - length of the sequence
-* @param M - number of trial divisors
-* @param initial - array of initial trial divisors
-* @param si - stride length for `initial`
-* @param oi - starting index for `initial`
-* @param out - output array for storing factorization results
-* @param so - stride length for `out`
-* @param oo - starting index for `out`
-* @returns number of factors into which `N` was decomposed
-*
-* @example
-* var initial = new Float64Array( [ 3, 4, 2, 5 ] );
-* var factors = new Float64Array( 4 );
-*
-* var numFactors = decompose( 12, 4, initial, 1, 0, factors, 1, 0 );
-* // returns 2
-*/
-declare function decompose( N: number, M: number, initial: Collection<number>, si: number, oi: number, out: Collection<number>, so: number, oo: number ): number;
-
-
-// EXPORTS //
-
-export = decompose;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/types/test.ts
deleted file mode 100644
index 011b915a8882..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/docs/types/test.ts
+++ /dev/null
@@ -1,162 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-import decompose = require( './index' );
-
-// TESTS //
-
-// The function returns a number...
-{
-	const initial = [ 3, 4, 2, 5 ];
-	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-	decompose( 12, 4, initial, 1, 0, out, 1, 0 ); // $ExpectType number
-}
-
-// The compiler throws an error if the function is provided a first argument which is not a number...
-{
-	const initial = [ 3, 4, 2, 5 ];
-	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-	decompose( '12', 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( true, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( false, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( null, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( void 0, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( [], 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( {}, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( ( x: number ): number => x, 4, initial, 1, 0, out, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a second argument which is not a number...
-{
-	const initial = [ 3, 4, 2, 5 ];
-	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-	decompose( 12, '4', initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, true, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, false, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, null, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, void 0, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, [], initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, {}, initial, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, ( x: number ): number => x, initial, 1, 0, out, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a third argument which is not an array of numbers...
-{
-	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-	decompose( 12, 4, '4,2,3,5', 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, 5, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, true, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, false, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, null, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, void 0, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, {}, 1, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, ( x: number ): number => x, 1, 0, out, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fourth argument which is not a number...
-{
-	const initial = [ 3, 4, 2, 5 ];
-	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-	decompose( 12, 4, initial, '1', 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, true, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, false, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, null, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, void 0, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, [], 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, {}, 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, ( x: number ): number => x, 0, out, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fifth argument which is not a number...
-{
-	const initial = [ 3, 4, 2, 5 ];
-	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-	decompose( 12, 4, initial, 1, '0', out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, true, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, false, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, null, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, void 0, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, [], out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, {}, out, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, ( x: number ): number => x, out, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a sixth argument which is not an array...
-{
-	const initial = [ 3, 4, 2, 5 ];
-
-	decompose( 12, 4, initial, 1, 0, 123, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, true, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, false, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, null, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, void 0, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, {}, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, ( x: number ): number => x, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a seventh argument which is not a number...
-{
-	const initial = [ 3, 4, 2, 5 ];
-	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-	decompose( 12, 4, initial, 1, 0, out, '1', 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, true, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, false, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, null, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, void 0, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, [], 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, {}, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, ( x: number ): number => x, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an eighth argument which is not a number...
-{
-	const initial = [ 3, 4, 2, 5 ];
-	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-	decompose( 12, 4, initial, 1, 0, out, 1, '0' ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, 1, true ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, 1, false ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, 1, null ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, 1, void 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, 1, [] ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, 1, {} ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, 1, ( x: number ): number => x ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an unsupported number of arguments...
-{
-	const initial = [ 3, 4, 2, 5 ];
-	const out = [ 0, 0, 0, 0, 0, 0, 0 ];
-
-	decompose(); // $ExpectError
-	decompose( 12 ); // $ExpectError
-	decompose( 12, 4 ); // $ExpectError
-	decompose( 12, 4, initial ); // $ExpectError
-	decompose( 12, 4, initial, 1 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, 1 ); // $ExpectError
-	decompose( 12, 4, initial, 1, 0, out, 1, 0, 123 ); // $ExpectError
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/examples/index.js
deleted file mode 100644
index 11005ed1d37f..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/examples/index.js
+++ /dev/null
@@ -1,35 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-var decompose = require( './../lib' );
-
-var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
-var factors = [ 0, 0, 0, 0 ];
-
-var nf = decompose( 12, 4, initial, 1, 0, factors, 1, 0 );
-
-console.log( 'Sequence length: %d', 12 );
-console.log( 'Number of factors: %d', nf );
-
-console.log( 'Factors:' );
-var j;
-for ( j = 0; j < nf; j++ ) {
-	console.log( '  %d', factors[ j+2 ] );
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/lib/index.js
deleted file mode 100644
index 5e7183ef5062..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/lib/index.js
+++ /dev/null
@@ -1,54 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-/**
-* Factorize a sequence length into a product of integers.
-*
-* @module @stdlib/fft/base/fftpack/decompose
-*
-* @example
-* var decompose = require( '@stdlib/fft/base/fftpack/decompose' );
-*
-* var N = 630;
-* var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
-* var factors = [ 0, 0, 0, 0, 0, 0, 0 ];
-*
-* var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
-* // returns 5
-*
-* @example
-* var decompose = require( '@stdlib/fft/base/fftpack/decompose' );
-*
-* var N = 12;
-* var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
-* var factors = [ 0, 0, 0, 0 ];
-*
-* var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
-* // returns 2
-*/
-
-// MODULES //
-
-var main = require( './main.js' );
-
-
-// EXPORTS //
-
-module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/lib/main.js
deleted file mode 100644
index 921f8db5ecaa..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/lib/main.js
+++ /dev/null
@@ -1,196 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var floor = require( '@stdlib/math/base/special/floor' );
-
-
-// MAIN //
-
-/**
-* Factorizes a sequence length into a product of integers.
-*
-* ## Notes
-*
-* -   Factorization results are stored in the output array as follows:
-*
-*     ```text
-*     [ sequence_length | number_of_factors | integer_factors | unused_storage ]
-*     ```
-*
-* @param {NonNegativeInteger} N - length of the sequence
-* @param {NonNegativeInteger} M - number of trial divisors
-* @param {Collection} initial - strided array of initial trial divisors
-* @param {integer} si - stride length for `initial`
-* @param {NonNegativeInteger} oi - starting index for `initial`
-* @param {Collection} out - output array for storing factorization results
-* @param {integer} so - stride length for `out`
-* @param {NonNegativeInteger} oo - starting index for `out`
-* @returns {NonNegativeInteger} number of factors into which `N` was decomposed
-*
-* @example
-* var N = 630;
-* var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
-* var factors = [ 0, 0, 0, 0, 0, 0, 0 ];
-*
-* var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
-* // returns 5
-*
-* var f = factors.slice();
-* // returns [ 630, 5, 2, 3, 3, 5, 7 ]
-*
-* @example
-* var N = 8;
-* var initial = [ 3, 4, 2, 5 ]; // as found in FFTPACK
-* var factors = [ 0, 0, 0, 0 ];
-*
-* var numFactors = decompose( N, 4, initial, 1, 0, factors, 1, 0 );
-* // returns 2
-*
-* var f = factors.slice();
-* // returns [ 8, 2, 2, 4 ]
-*/
-function decompose( N, M, initial, si, oi, out, so, oo ) {
-	var divisor;
-	var ntrials;
-	var nl;
-	var nf;
-	var nq;
-	var nr;
-	var ib;
-	var i;
-	var j;
-
-	if ( N === 0 ) {
-		out[ oo ] = N;
-		out[ oo+so ] = 0;
-		return 0;
-	}
-
-	// Resolve the number of trial divisors:
-	ntrials = M;
-
-	// Initialize a variable for storing a trial divisor:
-	divisor = 0;
-
-	// Initialize a variable for storing a sub-sequence length:
-	nl = N;
-
-	// Initialize a variable for keeping track of the number of factors into which `N` decomposes:
-	nf = 0;
-
-	j = 0;
-	do {
-		if ( j < ntrials ) {
-			divisor = initial[ oi + (j * si) ];
-		} else {
-			divisor += 2;
-		}
-		j += 1;
-		while ( true ) {
-			// Compute the integer quotient:
-			nq = floor( nl / divisor );
-
-			// Compute the remainder:
-			nr = nl - ( divisor * nq );
-
-			// If the divisor did not evenly divide the current sub-sequence length, try a new divisor...
-			if ( nr !== 0 ) {
-				break;
-			}
-			// We found a new factor:
-			nf += 1;
-
-			// Update the sub-sequence length:
-			nl = nq;
-
-			// Store the factor in the output array:
-			out[ oo+((nf+1)*so) ] = divisor;
-
-			// When the divisor is `2` and we've already found other factors, shift the other factors right to make room for the most recent `2` factor...
-			if ( divisor === 2 && nf !== 1 ) {
-				for ( i = 2; i <= nf; i++ ) {
-					ib = nf - i + 2;
-					out[ oo+((ib+1)*so) ] = out[ oo + (ib*so) ];
-				}
-				out[ oo+(2*so) ] = 2;
-			}
-			// If we cannot further divide the sequence length into smaller sub-sequences, we're done...
-			if ( nl === 1 ) {
-				break;
-			}
-		}
-	} while ( nl !== 1 );
-
-	// Store the sequence length:
-	out[ oo ] = N;
-
-	// Store the number of factors:
-	out[ oo+so ] = nf;
-
-	// Return the number of factors:
-	return nf;
-}
-
-
-// EXPORTS //
-
-module.exports = decompose;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/package.json
deleted file mode 100644
index b56ddcebca1c..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/package.json
+++ /dev/null
@@ -1,64 +0,0 @@
-{
-  "name": "@stdlib/fft/base/fftpack/decompose",
-  "version": "0.0.0",
-  "description": "Factorize a sequence length into a product of integers.",
-  "license": "Apache-2.0",
-  "author": {
-    "name": "The Stdlib Authors",
-    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-  },
-  "contributors": [
-    {
-      "name": "The Stdlib Authors",
-      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-    }
-  ],
-  "main": "./lib",
-  "directories": {
-    "benchmark": "./benchmark",
-    "doc": "./docs",
-    "example": "./examples",
-    "lib": "./lib",
-    "test": "./test"
-  },
-  "types": "./docs/types",
-  "scripts": {},
-  "homepage": "https://github.com/stdlib-js/stdlib",
-  "repository": {
-    "type": "git",
-    "url": "git://github.com/stdlib-js/stdlib.git"
-  },
-  "bugs": {
-    "url": "https://github.com/stdlib-js/stdlib/issues"
-  },
-  "dependencies": {},
-  "devDependencies": {},
-  "engines": {
-    "node": ">=0.10.0",
-    "npm": ">2.7.0"
-  },
-  "os": [
-    "aix",
-    "darwin",
-    "freebsd",
-    "linux",
-    "macos",
-    "openbsd",
-    "sunos",
-    "win32",
-    "windows"
-  ],
-  "keywords": [
-    "stdlib",
-    "fft",
-    "fftpack",
-    "decompose",
-    "factorization",
-    "factorize",
-    "factor",
-    "prime",
-    "sequence",
-    "product"
-  ],
-  "__stdlib__": {}
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/decompose/test/test.js
deleted file mode 100644
index d5088dbe227b..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/decompose/test/test.js
+++ /dev/null
@@ -1,128 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var tape = require( 'tape' );
-var decompose = require( './../lib' );
-
-
-// VARIABLES //
-
-var INITIAL = [ 3, 4, 2, 5 ]; // as found in FFTPACK
-
-
-// TESTS //
-
-tape( 'main export is a function', function test( t ) {
-	t.ok( true, __filename );
-	t.strictEqual( typeof decompose, 'function', 'main export is a function' );
-	t.end();
-});
-
-tape( 'the function has an arity of 8', function test( t ) {
-	t.strictEqual( decompose.length, 8, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function correctly factorizes a sequence length into a product of integers', function test( t ) {
-	var factors;
-	var nf;
-
-	factors = [ 0, 0, 0, 0, 0, 0, 0 ];
-	nf = decompose( 630, 4, INITIAL, 1, 0, factors, 1, 0 );
-
-	t.strictEqual( nf, 5, 'returns expected value' );
-	t.strictEqual( factors[ 0 ], 630, 'returns expected value' );
-	t.strictEqual( factors[ 1 ], 5, 'returns expected value' );
-	t.strictEqual( factors[ 2 ], 2, 'returns expected value' );
-	t.strictEqual( factors[ 3 ], 3, 'returns expected value' );
-	t.strictEqual( factors[ 4 ], 3, 'returns expected value' );
-	t.strictEqual( factors[ 5 ], 5, 'returns expected value' );
-	t.strictEqual( factors[ 6 ], 7, 'returns expected value' );
-
-	factors = [ 0, 0, 0, 0 ];
-	nf = decompose( 8, 4, INITIAL, 1, 0, factors, 1, 0 );
-
-	t.strictEqual( nf, 2, 'returns expected value' );
-	t.strictEqual( factors[ 0 ], 8, 'returns expected value' );
-	t.strictEqual( factors[ 1 ], 2, 'returns expected value' );
-	t.strictEqual( factors[ 2 ], 2, 'returns expected value' );
-	t.strictEqual( factors[ 3 ], 4, 'returns expected value' );
-
-	t.end();
-});
-
-tape( 'the function correctly factorizes prime numbers', function test( t ) {
-	var primesList;
-	var factors;
-	var nf;
-	var i;
-
-	// First 10 prime numbers:
-	primesList = [ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 ];
-
-	for ( i = 0; i < primesList.length; i++ ) {
-		factors = [ 0, 0, 0 ];
-		nf = decompose( primesList[ i ], 4, INITIAL, 1, 0, factors, 1, 0 );
-
-		t.strictEqual( nf, 1, 'returns expected value for ' + primesList[ i ] );
-		t.strictEqual( factors[ 0 ], primesList[ i ], 'returns expected value' );
-		t.strictEqual( factors[ 1 ], 1, 'returns expected value' );
-		t.strictEqual( factors[ 2 ], primesList[ i ], 'returns expected value' );
-	}
-
-	t.end();
-});
-
-tape( 'the function returns expected results when provided a sequence length of 0', function test( t ) {
-	var factors;
-	var nf;
-
-	factors = [ 0, 0 ];
-	nf = decompose( 0, 4, INITIAL, 1, 0, factors, 1, 0 );
-
-	t.strictEqual( nf, 0, 'returns expected value' );
-	t.strictEqual( factors[ 0 ], 0, 'returns expected value' );
-	t.strictEqual( factors[ 1 ], 0, 'returns expected value' );
-
-	t.end();
-});
-
-tape( 'the function correctly handles stride and offset parameters', function test( t ) {
-	var expected;
-	var factors;
-	var so;
-	var oo;
-	var nf;
-
-	factors = [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ];
-
-	so = 2;
-	oo = 1;
-	nf = decompose( 12, 4, INITIAL, 1, 0, factors, so, oo );
-
-	expected = [ 0, 12, 0, 2, 0, 3, 0, 4, 0, 0, 0 ];
-
-	t.strictEqual( nf, 2, 'returns expected value' );
-	t.deepEqual( factors, expected, 'returns expected value' );
-
-	t.end();
-});

From 541fbc498f7e11249119db6e5fee2bbd1d6eba71 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:25:22 +0530
Subject: [PATCH 05/32] feat: add `fft/base/fftpack/generic/cffti`

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: passed
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/generic/cffti/README.md  | 167 ++++++++++
 .../generic/cffti/benchmark/benchmark.js      | 101 +++++++
 .../base/fftpack/generic/cffti/docs/repl.txt  |  54 ++++
 .../generic/cffti/docs/types/index.d.ts       |  62 ++++
 .../fftpack/generic/cffti/docs/types/test.ts  |  94 ++++++
 .../fftpack/generic/cffti/examples/index.js   |  41 +++
 .../base/fftpack/generic/cffti/lib/cffti1.js  | 202 +++++++++++++
 .../base/fftpack/generic/cffti/lib/index.js   |  53 ++++
 .../base/fftpack/generic/cffti/lib/main.js    | 176 +++++++++++
 .../base/fftpack/generic/cffti/package.json   |  64 ++++
 .../cffti/test/fixtures/c/fftpack/Makefile    | 137 +++++++++
 .../cffti/test/fixtures/c/fftpack/large.json  |   1 +
 .../cffti/test/fixtures/c/fftpack/medium.json |   1 +
 .../cffti/test/fixtures/c/fftpack/runner.c    | 286 ++++++++++++++++++
 .../cffti/test/fixtures/c/fftpack/small.json  |   1 +
 .../base/fftpack/generic/cffti/test/test.js   | 231 ++++++++++++++
 16 files changed, 1671 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/cffti1.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/Makefile
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/large.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/medium.json
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/README.md
new file mode 100644
index 000000000000..3060aa1c21c6
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/README.md
@@ -0,0 +1,167 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# cffti
+
+> Initialize a workspace array for performing a complex-valued Fourier transform.
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var cffti = require( '@stdlib/fft/base/fftpack/generic/cffti' );
+```
+
+#### cffti( N, workspace, strideW, offsetW )
+
+Initializes a workspace array for performing a complex-valued Fourier transform.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var N = 8;
+var workspace = new Float64Array( ( 4*N ) + 34 );
+
+var out = cffti( N, workspace, 1, 0 );
+// returns <Float64Array>
+
+var bool = ( out === workspace );
+// returns true
+
+var twiddleFactors = workspace.slice( 2*N, 4*N );
+// returns <Float64Array>[ 1, 0, ~0.707, ~0.707, ~0, 1, ~-0.707, ~0.707, 1, 0, 1, 0, 1, 0, ~0, -1 ]
+
+var factors = workspace.slice( 4*N, ( 4*N ) + 4 );
+// returns <Float64Array>[ 8, 2, 2, 4 ]
+```
+
+The function accepts the following arguments:
+
+-   **N**: length of the sequence to transform.
+-   **workspace**: workspace array.
+-   **strideW**: stride length for `workspace`.
+-   **offsetW**: starting index for `workspace`.
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   The workspace array is divided into three sections:
+
+    ```text
+              size = 2N                2N            2+ceil(log2(N)/2)
+                   ↓                   ↓                  ↓
+        | scratch / workspace | twiddle factors | radix factor table |
+                   ↑                   ↑                  ↑
+    i = 0         ...         2N       ...       4N       ...
+    ```
+
+    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+    -   **radix factor table**: a table containing the sequence length `N`, the number of factors into which `N` was decomposed, and the individual integer radix factors.
+
+-   In general, a workspace array should have `4N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing twiddle factors and the factorization of `N` are updated.
+
+-   The radix factor table is comprised as follows:
+
+    ```text
+    | sequence_length | number_of_factors | integer_factors |
+    ```
+
+-   If `N` equals `1`, the function returns early without modifying the workspace, as a single data point is its own Fourier transform.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var cffti = require( '@stdlib/fft/base/fftpack/generic/cffti' );
+
+var N = 8;
+var workspace = new Float64Array( ( 4*N ) + 34 );
+
+cffti( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Twiddle factors:' );
+var idx = zeroTo( 2*N, 'generic' );
+logEach( '  workspace[ %d ] = %d', idx, workspace.slice( 2*N, 4*N ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (4*N)+1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( (4*N)+2, (4*N)+2+nf ) );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/benchmark/benchmark.js
new file mode 100644
index 000000000000..1ee1d688b1ad
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/benchmark/benchmark.js
@@ -0,0 +1,101 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var Float64Array = require( '@stdlib/array/float64' );
+var pkg = require( './../package.json' ).name;
+var cffti = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var workspace = new Float64Array( ( 4*N ) + 34 );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			cffti( N, workspace, 1, 0 );
+			if ( isnan( workspace[ ( 2*N ) + 1 ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( workspace[ ( 2*N ) + 1 ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		8,
+		16,
+		32,
+		64,
+		128,
+		256,
+		512,
+		1024
+	];
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( N );
+		bench( format( '%s:N=%d', pkg, N ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/repl.txt
new file mode 100644
index 000000000000..2dad84296235
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/repl.txt
@@ -0,0 +1,54 @@
+
+{{alias}}( N, workspace, strideW, offsetW )
+    Initializes a workspace array for performing a complex-valued Fourier
+    transform.
+
+    The workspace array is divided into three sections:
+
+    1. scratch/workspace: the section ranges from indices 0 to 2N-1 and is used
+    while performing transforms. This section is not updated during
+    initialization.
+
+    2. twiddle factors: the section ranges from indices 2N to 4N-1 and stores a
+    table of reusable complex exponential constants as cosine/sine pairs.
+
+    3. radix factor table: the section starts at index 4N and stores the
+    sequence length N, the number of factors into which N was decomposed, and
+    the individual integer radix factors.
+
+    Any remaining array space remains as unused storage.
+
+    Parameters
+    ----------
+    N: integer
+        Length of the sequence.
+
+    workspace: ArrayLikeObject<number>
+        Workspace array.
+
+    strideW: integer
+        Stride length for `workspace`.
+
+    offsetW: integer
+        Starting index for `workspace`.
+
+    Returns
+    -------
+    out: ArrayLikeObject<number>
+        Workspace array.
+
+    Examples
+    --------
+    > var N = 8;
+    > var workspace = new {{alias:@stdlib/array/float64}}( ( 4*N ) + 34 );
+    > var out = {{alias}}( N, workspace, 1, 0 )
+    <Float64Array>
+    > var bool = ( out === workspace )
+    true
+    > var twiddleFactors = workspace.slice( 2*N, 4*N )
+    <Float64Array>
+    > var factors = workspace.slice( 4*N, ( 4*N ) + 4 )
+    <Float64Array>[ 8, 2, 2, 4 ]
+
+    See Also
+    --------
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/types/index.d.ts
new file mode 100644
index 000000000000..08dfaf307ff6
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/types/index.d.ts
@@ -0,0 +1,62 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Initializes a workspace array for performing a complex-valued Fourier transform.
+*
+* ## Notes
+*
+* -   The workspace array should have a length of at least `( 4*N ) + 34` elements.
+* -   For single-point sequences (N=1), the function returns immediately as the FFT is the identity operation.
+*
+* @param N - length of the sequence
+* @param workspace - workspace array
+* @param strideW - stride length for `workspace`
+* @param offsetW - starting index for `workspace`
+* @returns workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 4*N ) + 34 );
+*
+* var out = cffti( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var twiddleFactors = workspace.slice( 2*N, 4*N );
+* // returns <Float64Array>[ 1, 0, ~0.707, ~0.707, ~0, 1, ~-0.707, ~0.707, 1, 0, 1, 0, 1, 0, ~0, -1 ]
+*
+* var factors = workspace.slice( 4*N, ( 4*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+declare function cffti<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
+
+
+// EXPORTS //
+
+export = cffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/types/test.ts
new file mode 100644
index 000000000000..85634675ec83
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/docs/types/test.ts
@@ -0,0 +1,94 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import cffti = require( './index' );
+
+
+// TESTS //
+
+// The function returns a collection...
+{
+	const workspace = new Float64Array( ( 4*8 ) + 34 );
+
+	cffti( 8, workspace, 1, 0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+	const workspace = new Float64Array( ( 4*8 ) + 34 );
+
+	cffti( '8', workspace, 1, 0 ); // $ExpectError
+	cffti( true, workspace, 1, 0 ); // $ExpectError
+	cffti( false, workspace, 1, 0 ); // $ExpectError
+	cffti( null, workspace, 1, 0 ); // $ExpectError
+	cffti( void 0, workspace, 1, 0 ); // $ExpectError
+	cffti( [], workspace, 1, 0 ); // $ExpectError
+	cffti( {}, workspace, 1, 0 ); // $ExpectError
+	cffti( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a collection...
+{
+	cffti( 8, '50', 1, 0 ); // $ExpectError
+	cffti( 8, 50, 1, 0 ); // $ExpectError
+	cffti( 8, true, 1, 0 ); // $ExpectError
+	cffti( 8, false, 1, 0 ); // $ExpectError
+	cffti( 8, null, 1, 0 ); // $ExpectError
+	cffti( 8, void 0, 1, 0 ); // $ExpectError
+	cffti( 8, {}, 1, 0 ); // $ExpectError
+	cffti( 8, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+	const workspace = new Float64Array( ( 4*8 ) + 34 );
+
+	cffti( 8, workspace, '1', 0 ); // $ExpectError
+	cffti( 8, workspace, true, 0 ); // $ExpectError
+	cffti( 8, workspace, false, 0 ); // $ExpectError
+	cffti( 8, workspace, null, 0 ); // $ExpectError
+	cffti( 8, workspace, void 0, 0 ); // $ExpectError
+	cffti( 8, workspace, [], 0 ); // $ExpectError
+	cffti( 8, workspace, {}, 0 ); // $ExpectError
+	cffti( 8, workspace, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+	const workspace = new Float64Array( ( 4*8 ) + 34 );
+
+	cffti( 8, workspace, 1, '0' ); // $ExpectError
+	cffti( 8, workspace, 1, true ); // $ExpectError
+	cffti( 8, workspace, 1, false ); // $ExpectError
+	cffti( 8, workspace, 1, null ); // $ExpectError
+	cffti( 8, workspace, 1, void 0 ); // $ExpectError
+	cffti( 8, workspace, 1, [] ); // $ExpectError
+	cffti( 8, workspace, 1, {} ); // $ExpectError
+	cffti( 8, workspace, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const workspace = new Float64Array( ( 4*8 ) + 34 );
+
+	cffti(); // $ExpectError
+	cffti( 8 ); // $ExpectError
+	cffti( 8, workspace ); // $ExpectError
+	cffti( 8, workspace, 1 ); // $ExpectError
+	cffti( 8, workspace, 1, 0, 123 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/examples/index.js
new file mode 100644
index 000000000000..a9ad8e9b86f7
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/examples/index.js
@@ -0,0 +1,41 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var cffti = require( './../lib' );
+
+var N = 8;
+var workspace = new Float64Array( ( 4*N ) + 34 );
+
+cffti( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Twiddle factors:' );
+var idx = zeroTo( 2*N, 'generic' );
+logEach( '  workspace[ %d ] = %d', idx, workspace.slice( 2*N, 4*N ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (4*N)+1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( (4*N)+2, (4*N)+2+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/cffti1.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/cffti1.js
new file mode 100644
index 000000000000..339bb68645e2
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/cffti1.js
@@ -0,0 +1,202 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+/* eslint-disable max-len */
+
+'use strict';
+
+// MODULES //
+
+var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
+var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
+
+
+// VARIABLES //
+
+// Define a list of initial trial factors for FFT factorization:
+var TRIAL_FACTORS = [ 3, 4, 2, 5 ];
+
+
+// MAIN //
+
+/**
+* Initializes the working arrays for applying a Fourier transform to a complex-valued sequence.
+*
+* @private
+* @param {NonNegativeInteger} N - length of the sequence
+* @param {Collection} twiddles - array of twiddle factors
+* @param {integer} strideT - stride length for `twiddles`
+* @param {NonNegativeInteger} offsetT - starting index for `twiddles`
+* @param {Collection} factors - array containing a radix factorization
+* @param {integer} strideF - stride length for `factors`
+* @param {NonNegativeInteger} offsetF - starting index for `factors`
+* @returns {void}
+*/
+function cffti1( N, twiddles, strideT, offsetT, factors, strideF, offsetF ) {
+	var factor;
+	var argld;
+	var argh;
+	var fidx;
+	var Mt;
+	var nf;
+	var fi;
+	var l2;
+	var l1;
+	var ld;
+	var st;
+	var it;
+	var i1;
+	var M;
+	var m;
+	var k;
+	var j;
+	var i;
+
+	// Decompose the sequence length into its radix factors:
+	nf = decompose( N, 4, TRIAL_FACTORS, 1, 0, factors, strideF, offsetF );
+
+	// Compute the master angular step (i.e., the basic angle that generates all twiddles):
+	argh = TWO_PI / N;
+
+	// Define where the first computed twiddle pair should be written:
+	i = 0;
+
+	// Initialize a running product of factors already processed:
+	l1 = 1;
+
+	// Compute the index of the first radix factor:
+	fidx = offsetF + ( 2*strideF );
+
+	// Compute the stride length for each cosine/sine pair:
+	st = 2 * strideT;
+
+	// Generate twiddle factors...
+	for ( k = 0; k < nf; k++ ) {
+		// Resolve the next radix factor:
+		factor = factors[ fidx ];
+
+		// Compute the length of the transform after including the current radix:
+		l2 = factor * l1;
+
+		// Compute the number of the "butterfly wings" (at this stage, the data is viewed as a `factor`-point transform of sub-vectors of length `l1`; `M` describes how many such vectors fit in the full array of length `N`):
+		M = floor( N / l2 );
+
+		// Initialize a running offset used to step the angle:
+		ld = 0;
+
+		// Compute the total number of twiddle factors for the current column:
+		Mt = ( 2 * M ) + 2; // two twiddles per harmonic, including the trivial first harmonic
+
+		// Iterate over each butterfly column within the current radix...
+		for ( j = 1; j < factor; j++ ) {
+			// Store the index of the first twiddle pair for this column:
+			i1 = i;
+
+			// Seed the first twiddle factor for this column with trivial cosine:
+			it = offsetT + ( i*strideT );
+			twiddles[ it ] = 1.0;
+
+			// Seed the first twiddle factor for this column with trivial sine:
+			twiddles[ it+strideT ] = 0.0;
+
+			// Advance to the next column:
+			ld += l1;
+
+			// Compute the angle step for this column:
+			argld = ld * argh; // 2π ⋅ j ⋅ li / N, which is the j-th column's base angle
+
+			// Initialize a counter which counts from `1` to `M-1` (i.e., all non-trivial harmonics):
+			fi = 1.0;
+
+			// Compute the index of the sine term:
+			it += 3 * strideT;
+
+			// Iterate over each non-trivial harmonic in the column (note: we skip the `m=0` and `m=1` (i.e., the first cosine/sine pair, the first harmonic `W_N^0 = cos(0) + j sin(0) = 1 + j⋅0` is trivial and hard-coded by transform kernels)...
+			for ( m = 3; m < Mt; m += 2 ) {
+				// Compute `(cos(fi*argld), sin(fi*argld))`:
+				sincos( fi*argld, twiddles, -strideT, it ); // note: `sincos` returns the sine and cosine, in that order, so we need to use a negative stride when assigning the values to `twiddles` to ensure that cosine comes before sine in the twiddles table
+
+				// Update for the next harmonic:
+				fi += 1.0;
+
+				// Resolve the index of the next sine term:
+				it += st;
+			}
+			// Advance `i` by the number of twiddle factors we have just written:
+			i += 2 * M;
+
+			// For radices greater than 5, copy the last-written twiddle pair back to the start of this column's block, overwriting the trivial `(1, 0)` seed so that the transform kernel can use it as a wrap-around twiddle:
+			if ( factor > 5 ) {
+				twiddles[ offsetT+(i1*strideT) ] = twiddles[ offsetT+(i*strideT) ];
+				twiddles[ offsetT+((i1+1)*strideT) ] = twiddles[ offsetT+((i+1)*strideT) ];
+			}
+		}
+		// Update the running product of factors already processed:
+		l1 = l2;
+
+		// Resolve the index of the next radix factor:
+		fidx += strideF;
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = cffti1;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/index.js
new file mode 100644
index 000000000000..4b6e42abdc68
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/index.js
@@ -0,0 +1,53 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Initialize a workspace array for performing a complex-valued Fourier transform.
+*
+* @module @stdlib/fft/base/fftpack/generic/cffti
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var cffti = require( '@stdlib/fft/base/fftpack/generic/cffti' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 4*N ) + 34 );
+*
+* var out = cffti( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var twiddleFactors = workspace.slice( 2*N, 4*N );
+* // returns <Float64Array>[ 1, 0, ~0.707, ~0.707, ~0, 1, ~-0.707, ~0.707, 1, 0, 1, 0, 1, 0, ~0, -1 ]
+*
+* var factors = workspace.slice( 4*N, ( 4*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/main.js
new file mode 100644
index 000000000000..2dcad0db7e22
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/lib/main.js
@@ -0,0 +1,176 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var cffti1 = require( './cffti1.js' );
+
+
+// MAIN //
+
+/**
+* Initializes a workspace array for performing a complex-valued Fourier transform.
+*
+* ## Notes
+*
+* The workspace array is divided into three sections:
+*
+* ```text
+*           size = 2N                2N            2+ceil(log2(N)/2)
+*                ↓                   ↓                  ↓
+*     | scratch / workspace | twiddle factors | radix factor table |
+*                ↑                   ↑                  ↑
+* i = 0         ...         2N       ...      4N       ...
+* ```
+*
+* where
+*
+* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+* -   **radix factor table**: a table containing the radix factorization of `N`.
+*
+* In general, a workspace array should have `4N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing twiddle factors and the factorization of `N` are updated.
+*
+* > Note: FFTPACK only requires `4N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
+*
+* The first two sections each contain `2N` elements, while the last section contains the sequence length, the number of integer factors, and, at most, `ceil(log2(N)/2)` integer radix factors.
+*
+* The factorization section is comprised as follows:
+*
+* ```text
+* | sequence_length | number_of_factors | integer_factors |
+* ```
+*
+* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
+*
+* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
+*
+* ```tex
+* W_N^k
+* ```
+*
+* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
+*
+* ```tex
+* W_N^k = e^{-2\pi ik/N}
+* ```
+*
+* In a backward FFT,
+*
+* ```tex
+* W_N^k = e^{+2\pi ik/N}
+* ```
+*
+* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform (e.g., `cfftf`) multiplying with `(cos,-sin)` and those performing a backward transform (e.g., `cfftb`) multiplying with `(cos,+sin)`.
+*
+* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
+*
+* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
+*
+* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
+*
+* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
+*
+* @param {NonNegativeInteger} N - length of the sequence to transform
+* @param {Collection} workspace - workspace array
+* @param {integer} strideW - stride length for `workspace`
+* @param {NonNegativeInteger} offsetW - starting index for `workspace`
+* @returns {Collection} workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 4*N ) + 34 );
+*
+* var out = cffti( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var twiddleFactors = workspace.slice( 2*N, 4*N );
+* // returns <Float64Array>[ 1, 0, ~0.707, ~0.707, ~0, 1, ~-0.707, ~0.707, 1, 0, 1, 0, 1, 0, ~0, -1 ]
+*
+* var factors = workspace.slice( 4*N, ( 4*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+function cffti( N, workspace, strideW, offsetW ) {
+	var offsetT;
+	var offsetF;
+
+	// When a sub-sequence is a single data point, the FFT is the identity, so no initialization necessary...
+	if ( N === 1 ) {
+		return workspace;
+	}
+	// Resolve the starting indices for storing twiddle factors and factorization results:
+	offsetT = offsetW + ( 2*N*strideW ); // index offset for twiddle factors
+	offsetF = offsetT + ( 2*N*strideW ); // index offset for factorization results
+
+	// Initialize a provided workspace array:
+	cffti1( N, workspace, strideW, offsetT, workspace, strideW, offsetF );
+
+	return workspace;
+}
+
+
+// EXPORTS //
+
+module.exports = cffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/package.json
new file mode 100644
index 000000000000..a600802c408f
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/package.json
@@ -0,0 +1,64 @@
+{
+  "name": "@stdlib/fft/base/fftpack/generic/cffti",
+  "version": "0.0.0",
+  "description": "Initialize a workspace array for performing a complex-valued Fourier transform.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "fft",
+    "fftpack",
+    "cffti",
+    "fourier",
+    "transform",
+    "twiddle",
+    "workspace",
+    "initialization",
+    "complex"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/Makefile
new file mode 100644
index 000000000000..7ce16281940d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/Makefile
@@ -0,0 +1,137 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+endif
+
+# Specify the path to FFTPACK:
+FFTPACK ?=
+
+# Specify a list of FFTPACK source files:
+FFTPACK_SRC ?=
+
+# Determine the OS:
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate [position independent code][1]:
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := runner.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler
+# @param {string} [CFLAGS] - C compiler flags
+# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
+
+#/
+# Generates test fixtures.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
+
+#/
+# Removes generated test fixtures.
+#
+# @example
+# make clean-fixtures
+#/
+clean-fixtures:
+	$(QUIET) -rm -f *.json
+
+.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/large.json
new file mode 100644
index 000000000000..e701c6bce28d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/large.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/medium.json
new file mode 100644
index 000000000000..7ee633c728ff
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/medium.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/runner.c
new file mode 100644
index 000000000000..e8569c7ef55e
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/runner.c
@@ -0,0 +1,286 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/**
+* Generate FFTPACK test fixtures.
+*
+* ## Notes
+*
+* -   Run this script from the directory in which fixtures should be written.
+*
+*/
+
+#include <stdlib.h>
+#include <stdio.h>
+#include <time.h>
+
+/**
+* Define prototypes for external functions.
+*/
+extern void cffti( int n, double *wsave );
+
+/**
+* Generates a random number on the interval [0,1].
+*
+* @return random number
+*/
+double rand_double( void ) {
+	int r = rand();
+	return (double)r / ( (double)RAND_MAX + 1.0 );
+}
+
+/**
+* Generates an array of pseudorandom integers drawn from a uniform distribution.
+*
+* ## Notes
+*
+* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
+*
+*
+* @param out  output array
+* @param len  array length
+* @param a    lower bound (inclusive)
+* @param b    upper bound (exclusive)
+*/
+void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
+	unsigned int i;
+	unsigned int r;
+	double delta;
+
+	delta = (double)b - (double)a;
+
+	for ( i = 0; i < len; i++ ) {
+		r = (unsigned int)( delta * rand_double() ); // truncation
+		out[ i ] = (int)( a + r );
+	}
+}
+
+/**
+* Writes an array of doubles to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of doubles
+* @param len  array length
+*/
+void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%.17g", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes an array of integers to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of integers
+* @param len  array length
+*/
+void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%d", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes a named array of doubles to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_f64( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes a named array of integers to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_i32( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes data to a file as JSON.
+*
+* ## Notes
+*
+* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
+*
+*
+* @param f          file to write to
+* @param lengths    sequence lengths
+* @param offsets    twiddle offsets
+* @param twiddles   twiddle factors
+* @param num        number of sequence lengths
+* @param total      total number of twiddle values
+*/
+void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *twiddles, const unsigned int num, const unsigned int total ) {
+	fprintf( f, "{" );
+	write_named_array_i32( f, "lengths", lengths, num );
+	fprintf( f, "," );
+	write_named_array_i32( f, "offsets", offsets, num );
+	fprintf( f, "," );
+	write_named_array_f64( f, "twiddles", twiddles, total );
+	fprintf( f, "}\n" );
+}
+
+/**
+* Generates test fixtures.
+*
+* @param lengths  sequence lengths
+* @param offsets  twiddle offsets into flat output array
+* @param num      number of sequence lengths
+* @param total    total number of twiddle values
+* @param name     output filename
+*/
+void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
+	unsigned int i;
+	unsigned int j;
+	double *twiddles;
+	double *wsave;
+	FILE *f;
+	int off;
+	int n;
+
+	// Allocate an output array:
+	twiddles = (double*) malloc( total * sizeof(double) );
+	if ( twiddles == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	for ( i = 0; i < num; i++ ) {
+		n = lengths[ i ];
+		wsave = (double*) calloc( 4*n + 15, sizeof(double) );
+		if ( wsave == NULL ) {
+			printf( "Error allocating memory.\n" );
+			exit( 1 );
+		}
+		cffti( n, wsave );
+
+		// Copy twiddle region into flat array (2*N values starting at wsave[2*n]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)( 2 * n ); j++ ) {
+			twiddles[ off + j ] = wsave[ ( 2 * n ) + j ];
+		}
+		free( wsave );
+	}
+	// Open a new file:
+	f = fopen( name, "w" );
+	if ( f == NULL ) {
+		printf( "Error opening file.\n" );
+		exit( 1 );
+	}
+
+	// Write data as JSON:
+	write_data_as_json( f, lengths, offsets, twiddles, num, total );
+
+	// Close the file:
+	fclose( f );
+
+	// Free allocated memory:
+	free( twiddles );
+}
+
+/**
+* Computes offsets into a flat twiddle array for each sequence length.
+*
+* @param offsets  output array of offsets
+* @param lengths  sequence lengths
+* @param num      number of sequence lengths
+* @return total number of twiddle values
+*/
+unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
+	unsigned int total;
+	unsigned int i;
+
+	total = 0;
+	for ( i = 0; i < num; i++ ) {
+		offsets[ i ] = total;
+		total += 2 * lengths[ i ];
+	}
+	return total;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	unsigned int total;
+	unsigned int num;
+	int *lengths;
+	int *offsets;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	// Define the number of sequence lengths per range:
+	num = 10;
+
+	// Allocate arrays:
+	lengths = (int*) malloc( num * sizeof(int) );
+	if ( lengths == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+	offsets = (int*) malloc( num * sizeof(int) );
+	if ( offsets == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	rand_array_i32( lengths, num, 2, 16 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "small.json" );
+
+	rand_array_i32( lengths, num, 16, 128 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "medium.json" );
+
+	rand_array_i32( lengths, num, 128, 1024 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "large.json" );
+
+	// Free allocated memory:
+	free( lengths );
+	free( offsets );
+
+	return 0;
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/small.json
new file mode 100644
index 000000000000..69a1ad3bbb33
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/fixtures/c/fftpack/small.json
@@ -0,0 +1 @@
+{"lengths":[2,12,6,4,15,3,3,2,2,6],"offsets":[0,4,28,40,48,78,84,90,94,98],"twiddles":[1,0,-1,1.2246467991473532e-16,1,0,0.86602540378443871,0.49999999999999994,0.50000000000000011,0.8660254037844386,6.123233995736766e-17,1,1,0,0.50000000000000011,0.8660254037844386,-0.49999999999999983,0.86602540378443871,-1,1.2246467991473532e-16,1,0,1,0,1,0,-1.8369701987210297e-16,-1,1,0,0.50000000000000011,0.8660254037844386,-0.49999999999999983,0.86602540378443871,1,0,1,0,-0.50000000000000044,-0.86602540378443837,1,0,1,0,1,0,-1.8369701987210297e-16,-1,1,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0.30901699437494745,0.95105651629515353,-0.10452846326765333,0.9945218953682734,1,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,-0.80901699437494734,0.58778525229247325,-0.97814760073380569,-0.20791169081775907,1,0,1,0,1,0,1,0,0.30901699437494723,-0.95105651629515364,1,0,1,0,-0.50000000000000044,-0.86602540378443837,1,0,1,0,-0.50000000000000044,-0.86602540378443837,1,0,-1,1.2246467991473532e-16,1,0,-1,1.2246467991473532e-16,1,0,0.50000000000000011,0.8660254037844386,-0.49999999999999983,0.86602540378443871,1,0,1,0,-0.50000000000000044,-0.86602540378443837]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/test.js
new file mode 100644
index 000000000000..57300092cd89
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cffti/test/test.js
@@ -0,0 +1,231 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
+var cffti = require( './../lib' );
+
+
+// FIXTURES //
+
+var small = require( './fixtures/c/fftpack/small.json' );
+var medium = require( './fixtures/c/fftpack/medium.json' );
+var large = require( './fixtures/c/fftpack/large.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof cffti, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 4', function test( t ) {
+	t.strictEqual( cffti.length, 4, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns a reference to the workspace array', function test( t ) {
+	var workspace;
+	var out;
+	var N;
+
+	N = 8;
+	workspace = new Float64Array( (4*N)+34 );
+	out = cffti( N, workspace, 1, 0 );
+
+	t.strictEqual( out, workspace, 'same reference' );
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( (4*N)+34 );
+		cffti( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ (2*N)-1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < 2*N; i++ ) {
+			y = workspace[ (2*N)+i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( (4*N)+34 );
+		cffti( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ (2*N)-1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < 2*N; i++ ) {
+			y = workspace[ (2*N)+i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( (4*N)+34 );
+		cffti( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ (2*N)-1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < 2*N; i++ ) {
+			y = workspace[ (2*N)+i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
+	var workspace;
+	var N;
+	var i;
+
+	N = 8;
+	workspace = new Float64Array( (4*N)+34 );
+
+	for ( i = 0; i < workspace.length; i++ ) {
+		workspace[ i ] = i + 1.0;
+	}
+	cffti( N, workspace, 1, 0 );
+	for ( i = 0; i < 2*N; i++ ) {
+		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'the function does not modify the workspace when N is 1', function test( t ) {
+	var workspace;
+	var expected;
+	var N;
+	var i;
+
+	N = 1;
+	workspace = new Float64Array( (4*N)+34 );
+	for ( i = 0; i < workspace.length; i++ ) {
+		workspace[ i ] = i + 1.0;
+	}
+	expected = new Float64Array( workspace );
+
+	cffti( N, workspace, 1, 0 );
+
+	t.deepEqual( workspace, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function correctly handles stride and offset parameters', function test( t ) {
+	var workspace;
+	var expected;
+	var stride;
+	var offset;
+	var nf;
+	var N;
+	var i;
+
+	N = 8;
+	stride = 2;
+	offset = 3;
+	workspace = new Float64Array( offset+(((4*N)+34)*stride ) );
+
+	cffti( N, workspace, stride, offset );
+
+	t.strictEqual( workspace[ offset+(4*N*stride) ], N, 'returns expected value' );
+
+	nf = workspace[ offset+(((4*N)+1)*stride) ];
+	t.strictEqual( nf, 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset+(((4*N)+2)*stride) ], 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset+(((4*N)+3)*stride) ], 4, 'returns expected value' );
+
+	expected = new Float64Array( (4*N)+34 );
+	cffti( N, expected, 1, 0 );
+
+	for ( i = 0; i < 2*N; i++ ) {
+		t.strictEqual( workspace[ offset+(((2*N)+i)*stride) ], expected[ (2*N)+i ], 'returns expected value' );
+	}
+	t.end();
+});

From 0e812dbe94379e9fd1ef12c9a6cf5ba44b50c4c1 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:25:51 +0530
Subject: [PATCH 06/32] remove: remove `cffti` from namespace

This commit removes the `cffti` symbol from the
`@stdlib/fft/base/fftpack` namespace due to a package migration.

BREAKING CHANGE: remove `cffti`

To migrate, users should access the same symbol via the
`@stdlib/fft/base/fftpack/generic` namespace.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/docs/types/index.d.ts    | 34 -------------------
 .../@stdlib/fft/base/fftpack/lib/index.js     |  9 -----
 2 files changed, 43 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
index 4c2fc99b4194..0d2f03ce3dca 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
@@ -20,7 +20,6 @@
 
 /* eslint-disable max-lines */
 
-import cffti = require( '@stdlib/fft/base/fftpack/cffti' );
 import cosqi = require( '@stdlib/fft/base/fftpack/cosqi' );
 import costi = require( '@stdlib/fft/base/fftpack/costi' );
 import rffti = require( '@stdlib/fft/base/fftpack/rffti' );
@@ -31,39 +30,6 @@ import sinti = require( '@stdlib/fft/base/fftpack/sinti' );
 * Interface describing the `fftpack` namespace.
 */
 interface Namespace {
-	/**
-	* Initializes a workspace array for performing a complex-valued Fourier transform.
-	*
-	* ## Notes
-	*
-	* -   The workspace array should have a length of at least `( 4*N ) + 34` elements.
-	* -   For single-point sequences (N=1), the function returns immediately as the FFT is the identity operation.
-	*
-	* @param N - length of the sequence
-	* @param workspace - workspace array
-	* @param strideW - stride length for `workspace`
-	* @param offsetW - starting index for `workspace`
-	* @returns workspace array
-	*
-	* @example
-	* var Float64Array = require( '@stdlib/array/float64' );
-	*
-	* var N = 8;
-	* var workspace = new Float64Array( ( 4*N ) + 34 );
-	*
-	* var out = ns.cffti( N, workspace, 1, 0 );
-	* // returns <Float64Array>
-	*
-	* var bool = ( out === workspace );
-	* // returns true
-	*
-	* var twiddleFactors = workspace.slice( 2*N, 4*N );
-	* // returns <Float64Array>[ 1, 0, ~0.707, ~0.707, ~0, 1, ~-0.707, ~0.707, 1, 0, 1, 0, 1, 0, ~0, -1 ]
-	*
-	* var factors = workspace.slice( 4*N, ( 4*N ) + 4 );
-	* // returns <Float64Array>[ 8, 2, 2, 4 ]
-	*/
-	cffti: typeof cffti;
 
 	/**
 	* Initializes a workspace array for performing a quarter-wave cosine transform.
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
index 7369d79be20c..9bc8ac037c87 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
@@ -40,15 +40,6 @@ var setReadOnly = require( '@stdlib/utils/define-read-only-property' );
 */
 var ns = {};
 
-/**
-* @name cffti
-* @memberof ns
-* @readonly
-* @type {Function}
-* @see {@link module:@stdlib/fft/base/fftpack/cffti}
-*/
-setReadOnly( ns, 'cffti', require( '@stdlib/fft/base/fftpack/cffti' ) );
-
 /**
 * @name cosqi
 * @memberof ns

From 70147c5e97b7d60377db931e94f86285510733ab Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:26:25 +0530
Subject: [PATCH 07/32] refactor: update paths

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
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    status: na
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    status: na
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    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
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    status: na
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    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 lib/node_modules/@stdlib/fft/base/fftpack/README.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
index 7161ddc48a11..b2db94ae2fd6 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/README.md
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
@@ -43,7 +43,7 @@ var o = ns;
 
 <div class="namespace-toc">
 
--   <span class="signature">[`cffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/cffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a complex-valued Fourier transform.</span>
+-   <span class="signature">[`cffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/cffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a complex-valued Fourier transform.</span>
 -   <span class="signature">[`cosqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/cosqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave cosine transform.</span>
 -   <span class="signature">[`costi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/costi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a cosine transform.</span>
 -   <span class="signature">[`decompose( N, M, initial, si, oi, out, so, oo )`][@stdlib/fft/base/fftpack/decompose]</span><span class="delimiter">: </span><span class="description">factorize a sequence length into a product of integers.</span>
@@ -92,7 +92,7 @@ console.log( objectKeys( ns ) );
 
 <!-- <toc-links> -->
 
-[@stdlib/fft/base/fftpack/cffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/cffti
+[@stdlib/fft/base/fftpack/generic/cffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/cffti
 
 [@stdlib/fft/base/fftpack/cosqi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/cosqi
 

From bde9665d3dd2ddd6ac4f99aea9b1c8838a5b5f6d Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:26:33 +0530
Subject: [PATCH 08/32] remove: remove `fft/base/fftpack/cffti`

This commit removes `@stdlib/fft/base/fftpack/cffti` in favor of
`@stdlib/fft/base/fftpack/generic/cffti`.

BREAKING CHANGE: remove `fft/base/fftpack/cffti`

To migrate, users should update their require/import paths to use
`@stdlib/fft/base/fftpack/generic/cffti` which provides the same API and implementation.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../@stdlib/fft/base/fftpack/cffti/README.md  | 167 ----------
 .../base/fftpack/cffti/benchmark/benchmark.js | 101 -------
 .../fft/base/fftpack/cffti/docs/repl.txt      |  54 ----
 .../base/fftpack/cffti/docs/types/index.d.ts  |  62 ----
 .../fft/base/fftpack/cffti/docs/types/test.ts |  94 ------
 .../fft/base/fftpack/cffti/examples/index.js  |  41 ---
 .../fft/base/fftpack/cffti/lib/cffti1.js      | 202 -------------
 .../fft/base/fftpack/cffti/lib/index.js       |  53 ----
 .../fft/base/fftpack/cffti/lib/main.js        | 176 -----------
 .../fft/base/fftpack/cffti/package.json       |  64 ----
 .../cffti/test/fixtures/c/fftpack/Makefile    | 137 ---------
 .../cffti/test/fixtures/c/fftpack/large.json  |   1 -
 .../cffti/test/fixtures/c/fftpack/medium.json |   1 -
 .../cffti/test/fixtures/c/fftpack/runner.c    | 286 ------------------
 .../cffti/test/fixtures/c/fftpack/small.json  |   1 -
 .../fft/base/fftpack/cffti/test/test.js       | 231 --------------
 16 files changed, 1671 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/README.md
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/benchmark/benchmark.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/repl.txt
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/types/index.d.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/types/test.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/examples/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/cffti1.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/main.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/package.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/Makefile
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/large.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/medium.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/runner.c
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/small.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/README.md
deleted file mode 100644
index 8fce3a2870a4..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/README.md
+++ /dev/null
@@ -1,167 +0,0 @@
-<!--
-
-@license Apache-2.0
-
-Copyright (c) 2026 The Stdlib Authors.
-
-Licensed under the Apache License, Version 2.0 (the "License");
-you may not use this file except in compliance with the License.
-You may obtain a copy of the License at
-
-   http://www.apache.org/licenses/LICENSE-2.0
-
-Unless required by applicable law or agreed to in writing, software
-distributed under the License is distributed on an "AS IS" BASIS,
-WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-See the License for the specific language governing permissions and
-limitations under the License.
-
--->
-
-# cffti
-
-> Initialize a workspace array for performing a complex-valued Fourier transform.
-
-<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
-
-<section class="intro">
-
-</section>
-
-<!-- /.intro -->
-
-<!-- Package usage documentation. -->
-
-<section class="usage">
-
-## Usage
-
-```javascript
-var cffti = require( '@stdlib/fft/base/fftpack/cffti' );
-```
-
-#### cffti( N, workspace, strideW, offsetW )
-
-Initializes a workspace array for performing a complex-valued Fourier transform.
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-
-var N = 8;
-var workspace = new Float64Array( ( 4*N ) + 34 );
-
-var out = cffti( N, workspace, 1, 0 );
-// returns <Float64Array>
-
-var bool = ( out === workspace );
-// returns true
-
-var twiddleFactors = workspace.slice( 2*N, 4*N );
-// returns <Float64Array>[ 1, 0, ~0.707, ~0.707, ~0, 1, ~-0.707, ~0.707, 1, 0, 1, 0, 1, 0, ~0, -1 ]
-
-var factors = workspace.slice( 4*N, ( 4*N ) + 4 );
-// returns <Float64Array>[ 8, 2, 2, 4 ]
-```
-
-The function accepts the following arguments:
-
--   **N**: length of the sequence to transform.
--   **workspace**: workspace array.
--   **strideW**: stride length for `workspace`.
--   **offsetW**: starting index for `workspace`.
-
-</section>
-
-<!-- /.usage -->
-
-<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="notes">
-
-## Notes
-
--   The workspace array is divided into three sections:
-
-    ```text
-              size = 2N                2N            2+ceil(log2(N)/2)
-                   ↓                   ↓                  ↓
-        | scratch / workspace | twiddle factors | radix factor table |
-                   ↑                   ↑                  ↑
-    i = 0         ...         2N       ...       4N       ...
-    ```
-
-    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-    -   **radix factor table**: a table containing the sequence length `N`, the number of factors into which `N` was decomposed, and the individual integer radix factors.
-
--   In general, a workspace array should have `4N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing twiddle factors and the factorization of `N` are updated.
-
--   The radix factor table is comprised as follows:
-
-    ```text
-    | sequence_length | number_of_factors | integer_factors |
-    ```
-
--   If `N` equals `1`, the function returns early without modifying the workspace, as a single data point is its own Fourier transform.
-
-</section>
-
-<!-- /.notes -->
-
-<section class="examples">
-
-## Examples
-
-<!-- eslint no-undef: "error" -->
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var cffti = require( '@stdlib/fft/base/fftpack/cffti' );
-
-var N = 8;
-var workspace = new Float64Array( ( 4*N ) + 34 );
-
-cffti( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Twiddle factors:' );
-var idx = zeroTo( 2*N, 'generic' );
-logEach( '  workspace[ %d ] = %d', idx, workspace.slice( 2*N, 4*N ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (4*N)+1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( (4*N)+2, (4*N)+2+nf ) );
-```
-
-</section>
-
-<!-- /.examples -->
-
-<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="references">
-
-</section>
-
-<!-- /.references -->
-
-<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
-
-<section class="related">
-
-</section>
-
-<!-- /.related -->
-
-<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="links">
-
-</section>
-
-<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/benchmark/benchmark.js
deleted file mode 100644
index 1ee1d688b1ad..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/benchmark/benchmark.js
+++ /dev/null
@@ -1,101 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var bench = require( '@stdlib/bench' );
-var format = require( '@stdlib/string/format' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var Float64Array = require( '@stdlib/array/float64' );
-var pkg = require( './../package.json' ).name;
-var cffti = require( './../lib' );
-
-
-// FUNCTIONS //
-
-/**
-* Creates a benchmark function.
-*
-* @private
-* @param {PositiveInteger} N - sequence length
-* @returns {Function} benchmark function
-*/
-function createBenchmark( N ) {
-	var workspace = new Float64Array( ( 4*N ) + 34 );
-	return benchmark;
-
-	/**
-	* Benchmark function.
-	*
-	* @private
-	* @param {Benchmark} b - benchmark instance
-	*/
-	function benchmark( b ) {
-		var i;
-
-		b.tic();
-		for ( i = 0; i < b.iterations; i++ ) {
-			cffti( N, workspace, 1, 0 );
-			if ( isnan( workspace[ ( 2*N ) + 1 ] ) ) {
-				b.fail( 'should not return NaN' );
-			}
-		}
-		b.toc();
-		if ( isnan( workspace[ ( 2*N ) + 1 ] ) ) {
-			b.fail( 'should not return NaN' );
-		}
-		b.pass( 'benchmark finished' );
-		b.end();
-	}
-}
-
-
-// MAIN //
-
-/**
-* Main execution sequence.
-*
-* @private
-*/
-function main() {
-	var lengths;
-	var N;
-	var f;
-	var i;
-
-	lengths = [
-		8,
-		16,
-		32,
-		64,
-		128,
-		256,
-		512,
-		1024
-	];
-
-	for ( i = 0; i < lengths.length; i++ ) {
-		N = lengths[ i ];
-		f = createBenchmark( N );
-		bench( format( '%s:N=%d', pkg, N ), f );
-	}
-}
-
-main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/repl.txt
deleted file mode 100644
index 2dad84296235..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/repl.txt
+++ /dev/null
@@ -1,54 +0,0 @@
-
-{{alias}}( N, workspace, strideW, offsetW )
-    Initializes a workspace array for performing a complex-valued Fourier
-    transform.
-
-    The workspace array is divided into three sections:
-
-    1. scratch/workspace: the section ranges from indices 0 to 2N-1 and is used
-    while performing transforms. This section is not updated during
-    initialization.
-
-    2. twiddle factors: the section ranges from indices 2N to 4N-1 and stores a
-    table of reusable complex exponential constants as cosine/sine pairs.
-
-    3. radix factor table: the section starts at index 4N and stores the
-    sequence length N, the number of factors into which N was decomposed, and
-    the individual integer radix factors.
-
-    Any remaining array space remains as unused storage.
-
-    Parameters
-    ----------
-    N: integer
-        Length of the sequence.
-
-    workspace: ArrayLikeObject<number>
-        Workspace array.
-
-    strideW: integer
-        Stride length for `workspace`.
-
-    offsetW: integer
-        Starting index for `workspace`.
-
-    Returns
-    -------
-    out: ArrayLikeObject<number>
-        Workspace array.
-
-    Examples
-    --------
-    > var N = 8;
-    > var workspace = new {{alias:@stdlib/array/float64}}( ( 4*N ) + 34 );
-    > var out = {{alias}}( N, workspace, 1, 0 )
-    <Float64Array>
-    > var bool = ( out === workspace )
-    true
-    > var twiddleFactors = workspace.slice( 2*N, 4*N )
-    <Float64Array>
-    > var factors = workspace.slice( 4*N, ( 4*N ) + 4 )
-    <Float64Array>[ 8, 2, 2, 4 ]
-
-    See Also
-    --------
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/types/index.d.ts
deleted file mode 100644
index 08dfaf307ff6..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/types/index.d.ts
+++ /dev/null
@@ -1,62 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-// TypeScript Version: 4.1
-
-/// <reference types="@stdlib/types"/>
-
-import { Collection } from '@stdlib/types/array';
-
-/**
-* Initializes a workspace array for performing a complex-valued Fourier transform.
-*
-* ## Notes
-*
-* -   The workspace array should have a length of at least `( 4*N ) + 34` elements.
-* -   For single-point sequences (N=1), the function returns immediately as the FFT is the identity operation.
-*
-* @param N - length of the sequence
-* @param workspace - workspace array
-* @param strideW - stride length for `workspace`
-* @param offsetW - starting index for `workspace`
-* @returns workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 4*N ) + 34 );
-*
-* var out = cffti( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var twiddleFactors = workspace.slice( 2*N, 4*N );
-* // returns <Float64Array>[ 1, 0, ~0.707, ~0.707, ~0, 1, ~-0.707, ~0.707, 1, 0, 1, 0, 1, 0, ~0, -1 ]
-*
-* var factors = workspace.slice( 4*N, ( 4*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-declare function cffti<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
-
-
-// EXPORTS //
-
-export = cffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/types/test.ts
deleted file mode 100644
index 85634675ec83..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/docs/types/test.ts
+++ /dev/null
@@ -1,94 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-import cffti = require( './index' );
-
-
-// TESTS //
-
-// The function returns a collection...
-{
-	const workspace = new Float64Array( ( 4*8 ) + 34 );
-
-	cffti( 8, workspace, 1, 0 ); // $ExpectType Float64Array
-}
-
-// The compiler throws an error if the function is provided a first argument which is not a number...
-{
-	const workspace = new Float64Array( ( 4*8 ) + 34 );
-
-	cffti( '8', workspace, 1, 0 ); // $ExpectError
-	cffti( true, workspace, 1, 0 ); // $ExpectError
-	cffti( false, workspace, 1, 0 ); // $ExpectError
-	cffti( null, workspace, 1, 0 ); // $ExpectError
-	cffti( void 0, workspace, 1, 0 ); // $ExpectError
-	cffti( [], workspace, 1, 0 ); // $ExpectError
-	cffti( {}, workspace, 1, 0 ); // $ExpectError
-	cffti( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a second argument which is not a collection...
-{
-	cffti( 8, '50', 1, 0 ); // $ExpectError
-	cffti( 8, 50, 1, 0 ); // $ExpectError
-	cffti( 8, true, 1, 0 ); // $ExpectError
-	cffti( 8, false, 1, 0 ); // $ExpectError
-	cffti( 8, null, 1, 0 ); // $ExpectError
-	cffti( 8, void 0, 1, 0 ); // $ExpectError
-	cffti( 8, {}, 1, 0 ); // $ExpectError
-	cffti( 8, ( x: number ): number => x, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a third argument which is not a number...
-{
-	const workspace = new Float64Array( ( 4*8 ) + 34 );
-
-	cffti( 8, workspace, '1', 0 ); // $ExpectError
-	cffti( 8, workspace, true, 0 ); // $ExpectError
-	cffti( 8, workspace, false, 0 ); // $ExpectError
-	cffti( 8, workspace, null, 0 ); // $ExpectError
-	cffti( 8, workspace, void 0, 0 ); // $ExpectError
-	cffti( 8, workspace, [], 0 ); // $ExpectError
-	cffti( 8, workspace, {}, 0 ); // $ExpectError
-	cffti( 8, workspace, ( x: number ): number => x, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fourth argument which is not a number...
-{
-	const workspace = new Float64Array( ( 4*8 ) + 34 );
-
-	cffti( 8, workspace, 1, '0' ); // $ExpectError
-	cffti( 8, workspace, 1, true ); // $ExpectError
-	cffti( 8, workspace, 1, false ); // $ExpectError
-	cffti( 8, workspace, 1, null ); // $ExpectError
-	cffti( 8, workspace, 1, void 0 ); // $ExpectError
-	cffti( 8, workspace, 1, [] ); // $ExpectError
-	cffti( 8, workspace, 1, {} ); // $ExpectError
-	cffti( 8, workspace, 1, ( x: number ): number => x ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an unsupported number of arguments...
-{
-	const workspace = new Float64Array( ( 4*8 ) + 34 );
-
-	cffti(); // $ExpectError
-	cffti( 8 ); // $ExpectError
-	cffti( 8, workspace ); // $ExpectError
-	cffti( 8, workspace, 1 ); // $ExpectError
-	cffti( 8, workspace, 1, 0, 123 ); // $ExpectError
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/examples/index.js
deleted file mode 100644
index a9ad8e9b86f7..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/examples/index.js
+++ /dev/null
@@ -1,41 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var cffti = require( './../lib' );
-
-var N = 8;
-var workspace = new Float64Array( ( 4*N ) + 34 );
-
-cffti( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Twiddle factors:' );
-var idx = zeroTo( 2*N, 'generic' );
-logEach( '  workspace[ %d ] = %d', idx, workspace.slice( 2*N, 4*N ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (4*N)+1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( (4*N)+2, (4*N)+2+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/cffti1.js b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/cffti1.js
deleted file mode 100644
index 339bb68645e2..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/cffti1.js
+++ /dev/null
@@ -1,202 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-/* eslint-disable max-len */
-
-'use strict';
-
-// MODULES //
-
-var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
-var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
-
-
-// VARIABLES //
-
-// Define a list of initial trial factors for FFT factorization:
-var TRIAL_FACTORS = [ 3, 4, 2, 5 ];
-
-
-// MAIN //
-
-/**
-* Initializes the working arrays for applying a Fourier transform to a complex-valued sequence.
-*
-* @private
-* @param {NonNegativeInteger} N - length of the sequence
-* @param {Collection} twiddles - array of twiddle factors
-* @param {integer} strideT - stride length for `twiddles`
-* @param {NonNegativeInteger} offsetT - starting index for `twiddles`
-* @param {Collection} factors - array containing a radix factorization
-* @param {integer} strideF - stride length for `factors`
-* @param {NonNegativeInteger} offsetF - starting index for `factors`
-* @returns {void}
-*/
-function cffti1( N, twiddles, strideT, offsetT, factors, strideF, offsetF ) {
-	var factor;
-	var argld;
-	var argh;
-	var fidx;
-	var Mt;
-	var nf;
-	var fi;
-	var l2;
-	var l1;
-	var ld;
-	var st;
-	var it;
-	var i1;
-	var M;
-	var m;
-	var k;
-	var j;
-	var i;
-
-	// Decompose the sequence length into its radix factors:
-	nf = decompose( N, 4, TRIAL_FACTORS, 1, 0, factors, strideF, offsetF );
-
-	// Compute the master angular step (i.e., the basic angle that generates all twiddles):
-	argh = TWO_PI / N;
-
-	// Define where the first computed twiddle pair should be written:
-	i = 0;
-
-	// Initialize a running product of factors already processed:
-	l1 = 1;
-
-	// Compute the index of the first radix factor:
-	fidx = offsetF + ( 2*strideF );
-
-	// Compute the stride length for each cosine/sine pair:
-	st = 2 * strideT;
-
-	// Generate twiddle factors...
-	for ( k = 0; k < nf; k++ ) {
-		// Resolve the next radix factor:
-		factor = factors[ fidx ];
-
-		// Compute the length of the transform after including the current radix:
-		l2 = factor * l1;
-
-		// Compute the number of the "butterfly wings" (at this stage, the data is viewed as a `factor`-point transform of sub-vectors of length `l1`; `M` describes how many such vectors fit in the full array of length `N`):
-		M = floor( N / l2 );
-
-		// Initialize a running offset used to step the angle:
-		ld = 0;
-
-		// Compute the total number of twiddle factors for the current column:
-		Mt = ( 2 * M ) + 2; // two twiddles per harmonic, including the trivial first harmonic
-
-		// Iterate over each butterfly column within the current radix...
-		for ( j = 1; j < factor; j++ ) {
-			// Store the index of the first twiddle pair for this column:
-			i1 = i;
-
-			// Seed the first twiddle factor for this column with trivial cosine:
-			it = offsetT + ( i*strideT );
-			twiddles[ it ] = 1.0;
-
-			// Seed the first twiddle factor for this column with trivial sine:
-			twiddles[ it+strideT ] = 0.0;
-
-			// Advance to the next column:
-			ld += l1;
-
-			// Compute the angle step for this column:
-			argld = ld * argh; // 2π ⋅ j ⋅ li / N, which is the j-th column's base angle
-
-			// Initialize a counter which counts from `1` to `M-1` (i.e., all non-trivial harmonics):
-			fi = 1.0;
-
-			// Compute the index of the sine term:
-			it += 3 * strideT;
-
-			// Iterate over each non-trivial harmonic in the column (note: we skip the `m=0` and `m=1` (i.e., the first cosine/sine pair, the first harmonic `W_N^0 = cos(0) + j sin(0) = 1 + j⋅0` is trivial and hard-coded by transform kernels)...
-			for ( m = 3; m < Mt; m += 2 ) {
-				// Compute `(cos(fi*argld), sin(fi*argld))`:
-				sincos( fi*argld, twiddles, -strideT, it ); // note: `sincos` returns the sine and cosine, in that order, so we need to use a negative stride when assigning the values to `twiddles` to ensure that cosine comes before sine in the twiddles table
-
-				// Update for the next harmonic:
-				fi += 1.0;
-
-				// Resolve the index of the next sine term:
-				it += st;
-			}
-			// Advance `i` by the number of twiddle factors we have just written:
-			i += 2 * M;
-
-			// For radices greater than 5, copy the last-written twiddle pair back to the start of this column's block, overwriting the trivial `(1, 0)` seed so that the transform kernel can use it as a wrap-around twiddle:
-			if ( factor > 5 ) {
-				twiddles[ offsetT+(i1*strideT) ] = twiddles[ offsetT+(i*strideT) ];
-				twiddles[ offsetT+((i1+1)*strideT) ] = twiddles[ offsetT+((i+1)*strideT) ];
-			}
-		}
-		// Update the running product of factors already processed:
-		l1 = l2;
-
-		// Resolve the index of the next radix factor:
-		fidx += strideF;
-	}
-}
-
-
-// EXPORTS //
-
-module.exports = cffti1;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/index.js
deleted file mode 100644
index a9430dc9c9a9..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/index.js
+++ /dev/null
@@ -1,53 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-/**
-* Initialize a workspace array for performing a complex-valued Fourier transform.
-*
-* @module @stdlib/fft/base/fftpack/cffti
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var cffti = require( '@stdlib/fft/base/fftpack/cffti' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 4*N ) + 34 );
-*
-* var out = cffti( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var twiddleFactors = workspace.slice( 2*N, 4*N );
-* // returns <Float64Array>[ 1, 0, ~0.707, ~0.707, ~0, 1, ~-0.707, ~0.707, 1, 0, 1, 0, 1, 0, ~0, -1 ]
-*
-* var factors = workspace.slice( 4*N, ( 4*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-
-// MODULES //
-
-var main = require( './main.js' );
-
-
-// EXPORTS //
-
-module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/main.js
deleted file mode 100644
index 2dcad0db7e22..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/lib/main.js
+++ /dev/null
@@ -1,176 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var cffti1 = require( './cffti1.js' );
-
-
-// MAIN //
-
-/**
-* Initializes a workspace array for performing a complex-valued Fourier transform.
-*
-* ## Notes
-*
-* The workspace array is divided into three sections:
-*
-* ```text
-*           size = 2N                2N            2+ceil(log2(N)/2)
-*                ↓                   ↓                  ↓
-*     | scratch / workspace | twiddle factors | radix factor table |
-*                ↑                   ↑                  ↑
-* i = 0         ...         2N       ...      4N       ...
-* ```
-*
-* where
-*
-* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-* -   **radix factor table**: a table containing the radix factorization of `N`.
-*
-* In general, a workspace array should have `4N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing twiddle factors and the factorization of `N` are updated.
-*
-* > Note: FFTPACK only requires `4N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
-*
-* The first two sections each contain `2N` elements, while the last section contains the sequence length, the number of integer factors, and, at most, `ceil(log2(N)/2)` integer radix factors.
-*
-* The factorization section is comprised as follows:
-*
-* ```text
-* | sequence_length | number_of_factors | integer_factors |
-* ```
-*
-* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
-*
-* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
-*
-* ```tex
-* W_N^k
-* ```
-*
-* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
-*
-* ```tex
-* W_N^k = e^{-2\pi ik/N}
-* ```
-*
-* In a backward FFT,
-*
-* ```tex
-* W_N^k = e^{+2\pi ik/N}
-* ```
-*
-* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform (e.g., `cfftf`) multiplying with `(cos,-sin)` and those performing a backward transform (e.g., `cfftb`) multiplying with `(cos,+sin)`.
-*
-* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
-*
-* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
-*
-* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
-*
-* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
-*
-* @param {NonNegativeInteger} N - length of the sequence to transform
-* @param {Collection} workspace - workspace array
-* @param {integer} strideW - stride length for `workspace`
-* @param {NonNegativeInteger} offsetW - starting index for `workspace`
-* @returns {Collection} workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 4*N ) + 34 );
-*
-* var out = cffti( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var twiddleFactors = workspace.slice( 2*N, 4*N );
-* // returns <Float64Array>[ 1, 0, ~0.707, ~0.707, ~0, 1, ~-0.707, ~0.707, 1, 0, 1, 0, 1, 0, ~0, -1 ]
-*
-* var factors = workspace.slice( 4*N, ( 4*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-function cffti( N, workspace, strideW, offsetW ) {
-	var offsetT;
-	var offsetF;
-
-	// When a sub-sequence is a single data point, the FFT is the identity, so no initialization necessary...
-	if ( N === 1 ) {
-		return workspace;
-	}
-	// Resolve the starting indices for storing twiddle factors and factorization results:
-	offsetT = offsetW + ( 2*N*strideW ); // index offset for twiddle factors
-	offsetF = offsetT + ( 2*N*strideW ); // index offset for factorization results
-
-	// Initialize a provided workspace array:
-	cffti1( N, workspace, strideW, offsetT, workspace, strideW, offsetF );
-
-	return workspace;
-}
-
-
-// EXPORTS //
-
-module.exports = cffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/package.json
deleted file mode 100644
index 74b23c91ae11..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/package.json
+++ /dev/null
@@ -1,64 +0,0 @@
-{
-  "name": "@stdlib/fft/base/fftpack/cffti",
-  "version": "0.0.0",
-  "description": "Initialize a workspace array for performing a complex-valued Fourier transform.",
-  "license": "Apache-2.0",
-  "author": {
-    "name": "The Stdlib Authors",
-    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-  },
-  "contributors": [
-    {
-      "name": "The Stdlib Authors",
-      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-    }
-  ],
-  "main": "./lib",
-  "directories": {
-    "benchmark": "./benchmark",
-    "doc": "./docs",
-    "example": "./examples",
-    "lib": "./lib",
-    "test": "./test"
-  },
-  "types": "./docs/types",
-  "scripts": {},
-  "homepage": "https://github.com/stdlib-js/stdlib",
-  "repository": {
-    "type": "git",
-    "url": "git://github.com/stdlib-js/stdlib.git"
-  },
-  "bugs": {
-    "url": "https://github.com/stdlib-js/stdlib/issues"
-  },
-  "dependencies": {},
-  "devDependencies": {},
-  "engines": {
-    "node": ">=0.10.0",
-    "npm": ">2.7.0"
-  },
-  "os": [
-    "aix",
-    "darwin",
-    "freebsd",
-    "linux",
-    "macos",
-    "openbsd",
-    "sunos",
-    "win32",
-    "windows"
-  ],
-  "keywords": [
-    "stdlib",
-    "fft",
-    "fftpack",
-    "cffti",
-    "fourier",
-    "transform",
-    "twiddle",
-    "workspace",
-    "initialization",
-    "complex"
-  ],
-  "__stdlib__": {}
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/Makefile
deleted file mode 100644
index 7ce16281940d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/Makefile
+++ /dev/null
@@ -1,137 +0,0 @@
-#/
-# @license Apache-2.0
-#
-# Copyright (c) 2026 The Stdlib Authors.
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#    http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-#/
-
-# VARIABLES #
-
-ifndef VERBOSE
-	QUIET := @
-endif
-
-# Specify the path to FFTPACK:
-FFTPACK ?=
-
-# Specify a list of FFTPACK source files:
-FFTPACK_SRC ?=
-
-# Determine the OS:
-#
-# [1]: https://en.wikipedia.org/wiki/Uname#Examples
-# [2]: http://stackoverflow.com/a/27776822/2225624
-OS ?= $(shell uname)
-ifneq (, $(findstring MINGW,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring MSYS,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring CYGWIN,$(OS)))
-	OS := WINNT
-endif
-endif
-endif
-
-# Define the program used for compiling C source files:
-ifdef C_COMPILER
-	CC := $(C_COMPILER)
-else
-	CC := gcc
-endif
-
-# Define the command-line options when compiling C files:
-CFLAGS ?= \
-	-std=c99 \
-	-O3 \
-	-Wall \
-	-pedantic
-
-# Determine whether to generate [position independent code][1]:
-#
-# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
-# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
-ifeq ($(OS), WINNT)
-	fPIC ?=
-else
-	fPIC ?= -fPIC
-endif
-
-# List of C targets:
-c_targets := runner.out
-
-
-# RULES #
-
-#/
-# Compiles C source files.
-#
-# @param {string} [C_COMPILER] - C compiler
-# @param {string} [CFLAGS] - C compiler flags
-# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
-#
-# @example
-# make
-#
-# @example
-# make all
-#/
-all: $(c_targets)
-
-.PHONY: all
-
-#/
-# Compiles C source files.
-#
-# @private
-# @param {string} CC - C compiler
-# @param {string} CFLAGS - C compiler flags
-# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
-#/
-$(c_targets): %.out: %.c
-	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
-
-#/
-# Generates test fixtures.
-#
-# @example
-# make run
-#/
-run: $(c_targets)
-	$(QUIET) ./$<
-
-.PHONY: run
-
-#/
-# Removes generated files.
-#
-# @example
-# make clean
-#/
-clean:
-	$(QUIET) -rm -f *.o *.out
-
-.PHONY: clean
-
-#/
-# Removes generated test fixtures.
-#
-# @example
-# make clean-fixtures
-#/
-clean-fixtures:
-	$(QUIET) -rm -f *.json
-
-.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/large.json
deleted file mode 100644
index e701c6bce28d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/large.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/medium.json
deleted file mode 100644
index 7ee633c728ff..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/medium.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/runner.c
deleted file mode 100644
index e8569c7ef55e..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/runner.c
+++ /dev/null
@@ -1,286 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-/**
-* Generate FFTPACK test fixtures.
-*
-* ## Notes
-*
-* -   Run this script from the directory in which fixtures should be written.
-*
-*/
-
-#include <stdlib.h>
-#include <stdio.h>
-#include <time.h>
-
-/**
-* Define prototypes for external functions.
-*/
-extern void cffti( int n, double *wsave );
-
-/**
-* Generates a random number on the interval [0,1].
-*
-* @return random number
-*/
-double rand_double( void ) {
-	int r = rand();
-	return (double)r / ( (double)RAND_MAX + 1.0 );
-}
-
-/**
-* Generates an array of pseudorandom integers drawn from a uniform distribution.
-*
-* ## Notes
-*
-* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
-*
-*
-* @param out  output array
-* @param len  array length
-* @param a    lower bound (inclusive)
-* @param b    upper bound (exclusive)
-*/
-void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
-	unsigned int i;
-	unsigned int r;
-	double delta;
-
-	delta = (double)b - (double)a;
-
-	for ( i = 0; i < len; i++ ) {
-		r = (unsigned int)( delta * rand_double() ); // truncation
-		out[ i ] = (int)( a + r );
-	}
-}
-
-/**
-* Writes an array of doubles to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of doubles
-* @param len  array length
-*/
-void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%.17g", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes an array of integers to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of integers
-* @param len  array length
-*/
-void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%d", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes a named array of doubles to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_f64( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes a named array of integers to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_i32( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes data to a file as JSON.
-*
-* ## Notes
-*
-* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
-*
-*
-* @param f          file to write to
-* @param lengths    sequence lengths
-* @param offsets    twiddle offsets
-* @param twiddles   twiddle factors
-* @param num        number of sequence lengths
-* @param total      total number of twiddle values
-*/
-void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *twiddles, const unsigned int num, const unsigned int total ) {
-	fprintf( f, "{" );
-	write_named_array_i32( f, "lengths", lengths, num );
-	fprintf( f, "," );
-	write_named_array_i32( f, "offsets", offsets, num );
-	fprintf( f, "," );
-	write_named_array_f64( f, "twiddles", twiddles, total );
-	fprintf( f, "}\n" );
-}
-
-/**
-* Generates test fixtures.
-*
-* @param lengths  sequence lengths
-* @param offsets  twiddle offsets into flat output array
-* @param num      number of sequence lengths
-* @param total    total number of twiddle values
-* @param name     output filename
-*/
-void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
-	unsigned int i;
-	unsigned int j;
-	double *twiddles;
-	double *wsave;
-	FILE *f;
-	int off;
-	int n;
-
-	// Allocate an output array:
-	twiddles = (double*) malloc( total * sizeof(double) );
-	if ( twiddles == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	for ( i = 0; i < num; i++ ) {
-		n = lengths[ i ];
-		wsave = (double*) calloc( 4*n + 15, sizeof(double) );
-		if ( wsave == NULL ) {
-			printf( "Error allocating memory.\n" );
-			exit( 1 );
-		}
-		cffti( n, wsave );
-
-		// Copy twiddle region into flat array (2*N values starting at wsave[2*n]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)( 2 * n ); j++ ) {
-			twiddles[ off + j ] = wsave[ ( 2 * n ) + j ];
-		}
-		free( wsave );
-	}
-	// Open a new file:
-	f = fopen( name, "w" );
-	if ( f == NULL ) {
-		printf( "Error opening file.\n" );
-		exit( 1 );
-	}
-
-	// Write data as JSON:
-	write_data_as_json( f, lengths, offsets, twiddles, num, total );
-
-	// Close the file:
-	fclose( f );
-
-	// Free allocated memory:
-	free( twiddles );
-}
-
-/**
-* Computes offsets into a flat twiddle array for each sequence length.
-*
-* @param offsets  output array of offsets
-* @param lengths  sequence lengths
-* @param num      number of sequence lengths
-* @return total number of twiddle values
-*/
-unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
-	unsigned int total;
-	unsigned int i;
-
-	total = 0;
-	for ( i = 0; i < num; i++ ) {
-		offsets[ i ] = total;
-		total += 2 * lengths[ i ];
-	}
-	return total;
-}
-
-/**
-* Main execution sequence.
-*/
-int main( void ) {
-	unsigned int total;
-	unsigned int num;
-	int *lengths;
-	int *offsets;
-
-	// Use the current time to seed the random number generator:
-	srand( time( NULL ) );
-
-	// Define the number of sequence lengths per range:
-	num = 10;
-
-	// Allocate arrays:
-	lengths = (int*) malloc( num * sizeof(int) );
-	if ( lengths == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-	offsets = (int*) malloc( num * sizeof(int) );
-	if ( offsets == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	rand_array_i32( lengths, num, 2, 16 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "small.json" );
-
-	rand_array_i32( lengths, num, 16, 128 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "medium.json" );
-
-	rand_array_i32( lengths, num, 128, 1024 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "large.json" );
-
-	// Free allocated memory:
-	free( lengths );
-	free( offsets );
-
-	return 0;
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/small.json
deleted file mode 100644
index 69a1ad3bbb33..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/fixtures/c/fftpack/small.json
+++ /dev/null
@@ -1 +0,0 @@
-{"lengths":[2,12,6,4,15,3,3,2,2,6],"offsets":[0,4,28,40,48,78,84,90,94,98],"twiddles":[1,0,-1,1.2246467991473532e-16,1,0,0.86602540378443871,0.49999999999999994,0.50000000000000011,0.8660254037844386,6.123233995736766e-17,1,1,0,0.50000000000000011,0.8660254037844386,-0.49999999999999983,0.86602540378443871,-1,1.2246467991473532e-16,1,0,1,0,1,0,-1.8369701987210297e-16,-1,1,0,0.50000000000000011,0.8660254037844386,-0.49999999999999983,0.86602540378443871,1,0,1,0,-0.50000000000000044,-0.86602540378443837,1,0,1,0,1,0,-1.8369701987210297e-16,-1,1,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0.30901699437494745,0.95105651629515353,-0.10452846326765333,0.9945218953682734,1,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,-0.80901699437494734,0.58778525229247325,-0.97814760073380569,-0.20791169081775907,1,0,1,0,1,0,1,0,0.30901699437494723,-0.95105651629515364,1,0,1,0,-0.50000000000000044,-0.86602540378443837,1,0,1,0,-0.50000000000000044,-0.86602540378443837,1,0,-1,1.2246467991473532e-16,1,0,-1,1.2246467991473532e-16,1,0,0.50000000000000011,0.8660254037844386,-0.49999999999999983,0.86602540378443871,1,0,1,0,-0.50000000000000044,-0.86602540378443837]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/test.js
deleted file mode 100644
index 57300092cd89..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cffti/test/test.js
+++ /dev/null
@@ -1,231 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var tape = require( 'tape' );
-var Float64Array = require( '@stdlib/array/float64' );
-var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
-var cffti = require( './../lib' );
-
-
-// FIXTURES //
-
-var small = require( './fixtures/c/fftpack/small.json' );
-var medium = require( './fixtures/c/fftpack/medium.json' );
-var large = require( './fixtures/c/fftpack/large.json' );
-
-
-// TESTS //
-
-tape( 'main export is a function', function test( t ) {
-	t.ok( true, __filename );
-	t.strictEqual( typeof cffti, 'function', 'main export is a function' );
-	t.end();
-});
-
-tape( 'the function has an arity of 4', function test( t ) {
-	t.strictEqual( cffti.length, 4, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function returns a reference to the workspace array', function test( t ) {
-	var workspace;
-	var out;
-	var N;
-
-	N = 8;
-	workspace = new Float64Array( (4*N)+34 );
-	out = cffti( N, workspace, 1, 0 );
-
-	t.strictEqual( out, workspace, 'same reference' );
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( (4*N)+34 );
-		cffti( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ (2*N)-1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < 2*N; i++ ) {
-			y = workspace[ (2*N)+i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( (4*N)+34 );
-		cffti( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ (2*N)-1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < 2*N; i++ ) {
-			y = workspace[ (2*N)+i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( (4*N)+34 );
-		cffti( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ (2*N)-1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < 2*N; i++ ) {
-			y = workspace[ (2*N)+i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
-	var workspace;
-	var N;
-	var i;
-
-	N = 8;
-	workspace = new Float64Array( (4*N)+34 );
-
-	for ( i = 0; i < workspace.length; i++ ) {
-		workspace[ i ] = i + 1.0;
-	}
-	cffti( N, workspace, 1, 0 );
-	for ( i = 0; i < 2*N; i++ ) {
-		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
-	}
-	t.end();
-});
-
-tape( 'the function does not modify the workspace when N is 1', function test( t ) {
-	var workspace;
-	var expected;
-	var N;
-	var i;
-
-	N = 1;
-	workspace = new Float64Array( (4*N)+34 );
-	for ( i = 0; i < workspace.length; i++ ) {
-		workspace[ i ] = i + 1.0;
-	}
-	expected = new Float64Array( workspace );
-
-	cffti( N, workspace, 1, 0 );
-
-	t.deepEqual( workspace, expected, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function correctly handles stride and offset parameters', function test( t ) {
-	var workspace;
-	var expected;
-	var stride;
-	var offset;
-	var nf;
-	var N;
-	var i;
-
-	N = 8;
-	stride = 2;
-	offset = 3;
-	workspace = new Float64Array( offset+(((4*N)+34)*stride ) );
-
-	cffti( N, workspace, stride, offset );
-
-	t.strictEqual( workspace[ offset+(4*N*stride) ], N, 'returns expected value' );
-
-	nf = workspace[ offset+(((4*N)+1)*stride) ];
-	t.strictEqual( nf, 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset+(((4*N)+2)*stride) ], 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset+(((4*N)+3)*stride) ], 4, 'returns expected value' );
-
-	expected = new Float64Array( (4*N)+34 );
-	cffti( N, expected, 1, 0 );
-
-	for ( i = 0; i < 2*N; i++ ) {
-		t.strictEqual( workspace[ offset+(((2*N)+i)*stride) ], expected[ (2*N)+i ], 'returns expected value' );
-	}
-	t.end();
-});

From 107bde74fa6abc1bd1b0b37a72b08dd699f92fd6 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:28:09 +0530
Subject: [PATCH 09/32] feat: add `fft/base/fftpack/generic/rffti`

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: passed
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/generic/rffti/README.md  | 167 ++++++++++
 .../generic/rffti/benchmark/benchmark.js      | 101 +++++++
 .../base/fftpack/generic/rffti/docs/repl.txt  |  55 ++++
 .../generic/rffti/docs/types/index.d.ts       |  62 ++++
 .../fftpack/generic/rffti/docs/types/test.ts  |  94 ++++++
 .../fftpack/generic/rffti/examples/index.js   |  41 +++
 .../base/fftpack/generic/rffti/lib/index.js   |  53 ++++
 .../base/fftpack/generic/rffti/lib/main.js    | 176 +++++++++++
 .../base/fftpack/generic/rffti/lib/rffti1.js  | 183 +++++++++++
 .../base/fftpack/generic/rffti/package.json   |  64 ++++
 .../rffti/test/fixtures/c/fftpack/Makefile    | 137 +++++++++
 .../rffti/test/fixtures/c/fftpack/large.json  |   1 +
 .../rffti/test/fixtures/c/fftpack/medium.json |   1 +
 .../rffti/test/fixtures/c/fftpack/runner.c    | 286 ++++++++++++++++++
 .../rffti/test/fixtures/c/fftpack/small.json  |   1 +
 .../base/fftpack/generic/rffti/test/test.js   | 231 ++++++++++++++
 16 files changed, 1653 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/rffti1.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/Makefile
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/large.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/medium.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/runner.c
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/small.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/README.md
new file mode 100644
index 000000000000..6a9b180d2264
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/README.md
@@ -0,0 +1,167 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# rffti
+
+> Initialize a workspace array for performing a real-valued Fourier transform.
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+```
+
+#### rffti( N, workspace, strideW, offsetW )
+
+Initializes a workspace array for performing a real-valued Fourier transform.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var N = 8;
+var workspace = new Float64Array( ( 2*N ) + 34 );
+
+var out = rffti( N, workspace, 1, 0 );
+// returns <Float64Array>
+
+var bool = ( out === workspace );
+// returns true
+
+var twiddleFactors = workspace.slice( N, 2*N );
+// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+
+var factors = workspace.slice( 2*N, ( 2*N ) + 4 );
+// returns <Float64Array>[ 8, 2, 2, 4 ]
+```
+
+The function accepts the following arguments:
+
+-   **N**: length of the sequence to transform.
+-   **workspace**: workspace array.
+-   **strideW**: stride length for `workspace`.
+-   **offsetW**: starting index for `workspace`.
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   The workspace array is divided into three sections:
+
+    ```text
+              size = N                 N            2+ceil(log2(N)/2)
+                   ↓                   ↓                  ↓
+        | scratch / workspace | twiddle factors | radix factor table |
+                   ↑                   ↑                  ↑
+    i = 0         ...         N       ...       2N       ...
+    ```
+
+    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+    -   **radix factor table**: a table containing the sequence length `N`, the number of factors into which `N` was decomposed, and the individual integer radix factors.
+
+-   In general, a workspace array should have `2N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing twiddle factors and the factorization of `N` are updated.
+
+-   The radix factor table is comprised as follows:
+
+    ```text
+    | sequence_length | number_of_factors | integer_factors |
+    ```
+
+-   If `N` equals `1`, the function returns early without modifying the workspace, as a single data point is its own Fourier transform.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+
+var N = 8;
+var workspace = new Float64Array( ( 2*N ) + 34 );
+
+rffti( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Twiddle factors:' );
+var idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %d', idx, workspace.slice( N, 2*N ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (2*N)+1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( (2*N)+2, (2*N)+2+nf ) );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/benchmark/benchmark.js
new file mode 100644
index 000000000000..b2f4afc682ca
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/benchmark/benchmark.js
@@ -0,0 +1,101 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var Float64Array = require( '@stdlib/array/float64' );
+var pkg = require( './../package.json' ).name;
+var rffti = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var workspace = new Float64Array( ( 2*N ) + 34 );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			rffti( N, workspace, 1, 0 );
+			if ( isnan( workspace[ N ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( workspace[ N ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		8,
+		16,
+		32,
+		64,
+		128,
+		256,
+		512,
+		1024
+	];
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( N );
+		bench( format( '%s:N=%d', pkg, N ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/repl.txt
new file mode 100644
index 000000000000..8edb96270359
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/repl.txt
@@ -0,0 +1,55 @@
+
+{{alias}}( N, workspace, strideW, offsetW )
+    Initializes a workspace array for performing a real-valued Fourier
+    transform.
+
+    The workspace array is divided into three sections:
+
+    1. scratch/workspace: the section ranges from indices 0 to N-1 and is used
+    while performing transforms. This section is not updated during
+    initialization.
+
+    2. twiddle factors: the section ranges from indices N to 2N-1 and stores a
+    table of reusable complex exponential constants as cosine/sine pairs.
+
+    3. radix factor table: the section starts at index 2N and stores the
+    sequence length N, the number of factors into which N was decomposed, and
+    the individual integer radix factors.
+
+    Any remaining array space remains as unused storage.
+
+    Parameters
+    ----------
+    N: integer
+        Length of the sequence.
+
+    workspace: ArrayLikeObject<number>
+        Workspace array.
+
+    strideW: integer
+        Stride length for `workspace`.
+
+    offsetW: integer
+        Starting index for `workspace`.
+
+    Returns
+    -------
+    out: ArrayLikeObject<number>
+        Workspace array.
+
+    Examples
+    --------
+    > var N = 8;
+    > var workspace = new {{alias:@stdlib/array/float64}}( ( 2*N ) + 34 );
+    > var out = {{alias}}( N, workspace, 1, 0 )
+    <Float64Array>
+    > var bool = ( out === workspace )
+    true
+    > var twiddleFactors = workspace.slice( N, 2*N )
+    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+    > var factors = workspace.slice( 2*N, ( 2*N ) + 4 )
+    <Float64Array>[ 8, 2, 2, 4 ]
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/types/index.d.ts
new file mode 100644
index 000000000000..94af8df9504d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/types/index.d.ts
@@ -0,0 +1,62 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Initializes a workspace array for performing a real-valued Fourier transform.
+*
+* ## Notes
+*
+* -   The workspace array should have a length of at least `( 2*N ) + 34` elements.
+* -   For single-point sequences (N=1), the function returns immediately as the FFT is the identity operation.
+*
+* @param N - length of the sequence
+* @param workspace - workspace array
+* @param strideW - stride length for `workspace`
+* @param offsetW - starting index for `workspace`
+* @returns workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 2*N ) + 34 );
+*
+* var out = rffti( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var twiddleFactors = workspace.slice( N, 2*N );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( 2*N, ( 2*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+declare function rffti<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
+
+
+// EXPORTS //
+
+export = rffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/types/test.ts
new file mode 100644
index 000000000000..02c9ae78e64b
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/docs/types/test.ts
@@ -0,0 +1,94 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import rffti = require( './index' );
+
+
+// TESTS //
+
+// The function returns a collection...
+{
+	const workspace = new Float64Array( ( 2*8 ) + 34 );
+
+	rffti( 8, workspace, 1, 0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+	const workspace = new Float64Array( ( 2*8 ) + 34 );
+
+	rffti( '8', workspace, 1, 0 ); // $ExpectError
+	rffti( true, workspace, 1, 0 ); // $ExpectError
+	rffti( false, workspace, 1, 0 ); // $ExpectError
+	rffti( null, workspace, 1, 0 ); // $ExpectError
+	rffti( void 0, workspace, 1, 0 ); // $ExpectError
+	rffti( [], workspace, 1, 0 ); // $ExpectError
+	rffti( {}, workspace, 1, 0 ); // $ExpectError
+	rffti( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a collection...
+{
+	rffti( 8, '50', 1, 0 ); // $ExpectError
+	rffti( 8, 50, 1, 0 ); // $ExpectError
+	rffti( 8, true, 1, 0 ); // $ExpectError
+	rffti( 8, false, 1, 0 ); // $ExpectError
+	rffti( 8, null, 1, 0 ); // $ExpectError
+	rffti( 8, void 0, 1, 0 ); // $ExpectError
+	rffti( 8, {}, 1, 0 ); // $ExpectError
+	rffti( 8, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+	const workspace = new Float64Array( ( 2*8 ) + 34 );
+
+	rffti( 8, workspace, '1', 0 ); // $ExpectError
+	rffti( 8, workspace, true, 0 ); // $ExpectError
+	rffti( 8, workspace, false, 0 ); // $ExpectError
+	rffti( 8, workspace, null, 0 ); // $ExpectError
+	rffti( 8, workspace, void 0, 0 ); // $ExpectError
+	rffti( 8, workspace, [], 0 ); // $ExpectError
+	rffti( 8, workspace, {}, 0 ); // $ExpectError
+	rffti( 8, workspace, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+	const workspace = new Float64Array( ( 2*8 ) + 34 );
+
+	rffti( 8, workspace, 1, '0' ); // $ExpectError
+	rffti( 8, workspace, 1, true ); // $ExpectError
+	rffti( 8, workspace, 1, false ); // $ExpectError
+	rffti( 8, workspace, 1, null ); // $ExpectError
+	rffti( 8, workspace, 1, void 0 ); // $ExpectError
+	rffti( 8, workspace, 1, [] ); // $ExpectError
+	rffti( 8, workspace, 1, {} ); // $ExpectError
+	rffti( 8, workspace, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const workspace = new Float64Array( ( 2*8 ) + 34 );
+
+	rffti(); // $ExpectError
+	rffti( 8 ); // $ExpectError
+	rffti( 8, workspace ); // $ExpectError
+	rffti( 8, workspace, 1 ); // $ExpectError
+	rffti( 8, workspace, 1, 0, 123 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/examples/index.js
new file mode 100644
index 000000000000..8f9328400d42
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/examples/index.js
@@ -0,0 +1,41 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var rffti = require( './../lib' );
+
+var N = 8;
+var workspace = new Float64Array( ( 2*N ) + 34 );
+
+rffti( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Twiddle factors:' );
+var idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %d', idx, workspace.slice( N, 2*N ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (2*N)+1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( (2*N)+2, (2*N)+2+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/index.js
new file mode 100644
index 000000000000..6cf26f3502d3
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/index.js
@@ -0,0 +1,53 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Initialize a workspace array for performing a real-valued Fourier transform.
+*
+* @module @stdlib/fft/base/fftpack/generic/rffti
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 2*N ) + 34 );
+*
+* var out = rffti( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var twiddleFactors = workspace.slice( N, 2*N );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( 2*N, ( 2*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/main.js
new file mode 100644
index 000000000000..1b045b91a18c
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/main.js
@@ -0,0 +1,176 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var rffti1 = require( './rffti1.js' );
+
+
+// MAIN //
+
+/**
+* Initializes a workspace array for performing a real-valued Fourier transform.
+*
+* ## Notes
+*
+* The workspace array is divided into three sections:
+*
+* ```text
+*           size = N                 N            2+ceil(log2(N)/2)
+*                ↓                   ↓                  ↓
+*     | scratch / workspace | twiddle factors | radix factor table |
+*                ↑                   ↑                  ↑
+* i = 0         ...         N       ...       2N       ...
+* ```
+*
+* where
+*
+* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+* -   **radix factor table**: a table containing the radix factorization of `N`.
+*
+* In general, a workspace array should have `2N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing twiddle factors and the factorization of `N` are updated.
+*
+* > Note: FFTPACK only requires `2N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
+*
+* The first two sections each contain `N` elements, while the last section contains the sequence length, the number of integer factors, and, at most, `ceil(log2(N)/2)` integer radix factors.
+*
+* The factorization section is comprised as follows:
+*
+* ```text
+* | sequence_length | number_of_factors | integer_factors |
+* ```
+*
+* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
+*
+* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
+*
+* ```tex
+* W_N^k
+* ```
+*
+* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
+*
+* ```tex
+* W_N^k = e^{-2\pi ik/N}
+* ```
+*
+* In a backward FFT,
+*
+* ```tex
+* W_N^k = e^{+2\pi ik/N}
+* ```
+*
+* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform (e.g., `rfftf`) multiplying with `(cos,-sin)` and those performing a backward transform (e.g., `rfftb`) multiplying with `(cos,+sin)`.
+*
+* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
+*
+* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
+*
+* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
+*
+* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
+*
+* @param {NonNegativeInteger} N - length of the sequence to transform
+* @param {Collection} workspace - workspace array
+* @param {integer} strideW - stride length for `workspace`
+* @param {NonNegativeInteger} offsetW - starting index for `workspace`
+* @returns {Collection} workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 2*N ) + 34 );
+*
+* var out = rffti( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var twiddleFactors = workspace.slice( N, 2*N );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( 2*N, ( 2*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+function rffti( N, workspace, strideW, offsetW ) {
+	var offsetT;
+	var offsetF;
+
+	// When a sub-sequence is a single data point, the FFT is the identity, so no initialization necessary...
+	if ( N === 1 ) {
+		return workspace;
+	}
+	// Resolve the starting indices for storing twiddle factors and factorization results:
+	offsetT = offsetW + ( N*strideW ); // index offset for twiddle factors
+	offsetF = offsetT + ( N*strideW ); // index offset for factorization results
+
+	// Initialize a provided workspace array:
+	rffti1( N, workspace, strideW, offsetT, workspace, strideW, offsetF );
+
+	return workspace;
+}
+
+
+// EXPORTS //
+
+module.exports = rffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/rffti1.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/rffti1.js
new file mode 100644
index 000000000000..cafc381f7dd5
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/lib/rffti1.js
@@ -0,0 +1,183 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
+var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
+
+
+// VARIABLES //
+
+// Define a list of initial trial factors for FFT factorization:
+var TRIAL_FACTORS = [ 4, 2, 3, 5 ];
+
+
+// MAIN //
+
+/**
+* Initializes the working arrays for applying a Fourier transform to a real-valued sequence.
+*
+* @private
+* @param {NonNegativeInteger} N - length of the sequence
+* @param {Collection} twiddles - array of twiddle factors
+* @param {integer} strideT - stride length for `twiddles`
+* @param {NonNegativeInteger} offsetT - starting index for `twiddles`
+* @param {Collection} factors - array containing a radix factorization
+* @param {integer} strideF - stride length for `factors`
+* @param {NonNegativeInteger} offsetF - starting index for `factors`
+* @returns {void}
+*/
+function rffti1( N, twiddles, strideT, offsetT, factors, strideF, offsetF ) {
+	var factor;
+	var argld;
+	var argh;
+	var fidx;
+	var nf;
+	var fi;
+	var l2;
+	var l1;
+	var ld;
+	var st;
+	var it;
+	var im;
+	var M;
+	var m;
+	var k;
+	var j;
+
+	// Decompose the sequence length into its radix factors:
+	nf = decompose( N, 4, TRIAL_FACTORS, 1, 0, factors, strideF, offsetF );
+
+	// If the number of radix factors is `1`, the only twiddle factor we need is `W_N^0 = 1`, which the main transform kernels already hard-code, so nothing to pre-compute...
+	if ( nf-1 === 0 ) {
+		return;
+	}
+	// Compute the master angular step (i.e., the basic angle that generates all twiddles):
+	argh = TWO_PI / N;
+
+	// Define the location of the first sine term we want to compute:
+	im = 1;
+
+	// Initialize a running product of factors already processed:
+	l1 = 1;
+
+	// Compute the index of the first radix factor:
+	fidx = offsetF + ( 2*strideF );
+
+	// Compute the stride length for each cosine/sine pair:
+	st = 2 * strideT;
+
+	// Generate twiddle factors...
+	for ( k = 0; k < nf-1; k++ ) {
+		// Resolve the next radix factor:
+		factor = factors[ fidx ];
+
+		// Compute the length of the transform after including the current radix:
+		l2 = factor * l1;
+
+		// Compute the number of the "butterfly wings" (at this stage, the data is viewed as a `factor`-point transform of sub-vectors of length `l1`; `M` describes how many such vectors fit in the full array of length `N`):
+		M = floor( N / l2 );
+
+		// Initialize a running offset used to step the angle:
+		ld = 0;
+
+		// Iterate over each butterfly column within the current radix...
+		for ( j = 1; j < factor; j++ ) {
+			// Advance to the next column:
+			ld += l1;
+
+			// Compute the angle step for this column:
+			argld = ld * argh; // 2π ⋅ j ⋅ li / N, which is the j-th column's base angle
+
+			// Initialize a counter which counts from `1` to `(M/2)-1` (i.e., all non-trivial harmonics):
+			fi = 1.0;
+
+			// Compute the index of the sine term:
+			it = offsetT + ( im*strideT );
+
+			// Iterate over each non-trivial harmonic in the column (note: we skip the `m=0` and `m=1` (i.e., the first cosine/sine pair, the first harmonic `W_N^0 = cos(0) + j sin(0) = 1 + j⋅0` is trivial and hard-coded by transform kernels)...
+			for ( m = 2; m < M; m += 2 ) {
+				// Compute `(cos(fi*argld), sin(fi*argld))`:
+				sincos( fi*argld, twiddles, -strideT, it ); // note: `sincos` returns the sine and cosine, in that order, so we need to use a negative stride when assigning the values to `twiddles` to ensure that cosine comes before sine in the twiddles table
+
+				// Update for the next harmonic:
+				fi += 1.0;
+
+				// Resolve the index of the next sine term:
+				it += st;
+			}
+			// Advance `im` by the size of the current block, skipping the cosine/sine pairs we have just written:
+			im += M;
+		}
+		// Update the running product of factors already processed:
+		l1 = l2;
+
+		// Resolve the index of the next radix factor:
+		fidx += strideF;
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = rffti1;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/package.json
new file mode 100644
index 000000000000..43222883dd26
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/package.json
@@ -0,0 +1,64 @@
+{
+  "name": "@stdlib/fft/base/fftpack/generic/rffti",
+  "version": "0.0.0",
+  "description": "Initialize a workspace array for performing a real-valued Fourier transform.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "fft",
+    "fftpack",
+    "rffti",
+    "fourier",
+    "transform",
+    "twiddle",
+    "workspace",
+    "initialization",
+    "real"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/Makefile
new file mode 100644
index 000000000000..7ce16281940d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/Makefile
@@ -0,0 +1,137 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+endif
+
+# Specify the path to FFTPACK:
+FFTPACK ?=
+
+# Specify a list of FFTPACK source files:
+FFTPACK_SRC ?=
+
+# Determine the OS:
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate [position independent code][1]:
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := runner.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler
+# @param {string} [CFLAGS] - C compiler flags
+# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
+
+#/
+# Generates test fixtures.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
+
+#/
+# Removes generated test fixtures.
+#
+# @example
+# make clean-fixtures
+#/
+clean-fixtures:
+	$(QUIET) -rm -f *.json
+
+.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/large.json
new file mode 100644
index 000000000000..f8983602724c
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/large.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/medium.json
new file mode 100644
index 000000000000..92bc8b5c15e7
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/medium.json
@@ -0,0 +1 @@
+{"lengths":[95,94,71,43,92,43,90,30,62,57],"offsets":[0,95,189,260,303,395,438,528,558,620],"twiddles":[0.99781362721877453,0.066090584325699447,0.99126406932697519,0.1318921713420689,0.98037996587480936,0.19711702745148033,0.96520891027734868,0.26147994095381977,0.94581724170063464,0.32469946920468351,0.92228975497738475,0.38649916929245226,0.89472932982076347,0.44660880685280657,0.86325648095757379,0.50476553773484378,0.82800883114802004,0.56071505735167271,0,0.99126406932697519,0.1318921713420689,0.96520891027734868,0.26147994095381977,0.92228975497738475,0.38649916929245226,0.86325648095757379,0.50476553773484378,0.78914050939639357,0.61421271268966782,0.70123678427248859,0.71292844829139701,0.60108114728302509,0.79918799689492481,0.49042350383050809,0.87148424362727728,0.37119724891822076,0.92855403848970708,0,0.98037996587480936,0.19711702745148033,0.92228975497738475,0.38649916929245226,0.82800883114802004,0.56071505735167271,0.70123678427248859,0.71292844829139701,0.54694815812242692,0.83716647826252855,0.37119724891822076,0.92855403848970708,0.18088053433210999,0.98350507487238237,-0.016533944766358447,0.999863304992469,-0.21329963074374692,0.97698683078359927,0,0.96520891027734868,0.26147994095381977,0.86325648095757379,0.50476553773484378,0.70123678427248859,0.71292844829139701,0.49042350383050809,0.87148424362727728,0.24548548714079901,0.96940026593933049,-0.016533944766358447,0.999863304992469,-0.27740290876184465,0.96075367613684814,-0.51896957378121522,0.85479271258553891,-0.72442520479108896,0.68935340911856591,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99776687862315316,0.066792633745121552,0.99107748815478014,0.13328695537377883,0.97996170503658686,0.19918598510383609,0.96446917505437657,0.26419540187128598,0.94466909160791879,0.32802485783956914,0.92064988667642877,0.39038927516349481,0.89251883585988123,0.45101011921610179,0.86040157926013938,0.50961664259191741,0.8244415603417603,0.5659470943305952,0.78479938527866089,0.61974988896024497,0.74165210564795758,0.67078473013922346,0.69519242767464229,0.71882368387792939,0.64562785155880242,0.76365219654733207,0.59317974472935531,0.80507005312756286,0.53808235316337272,0.84289227141679701,0.48058175518668378,0.8769499282066715,0.420934762428335,0.9070909137343407,0.3594077728375128,0.93318061104160255,0.29627558088563394,0.95510249720691243,0.2318201502675282,0.97275866376503717,0.16632935458313017,0.98607025399002857,0.10009569162409844,0.99497781508850403,0.033414977007674644,0.99944156373025461,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99766876919053915,0.068242413364670976,0.99068594603633076,0.13616664909624659,0.97908408768232291,0.20345601305263378,0.96291728734779936,0.26979677115702427,0.94226092211882051,0.33487961217098611,0.91721130150545305,0.39840108984624145,0.88788521840237522,0.46006503773115215,0.85441940454648857,0.51958395003543356,0.81696989301044209,0.57668032211486708,0.77571129070441991,0.63108794432605275,0.73083596427812414,0.68255314321865401,0,0.99068594603633076,0.13616664909624659,0.96291728734779936,0.26979677115702427,0.91721130150545305,0.39840108984624145,0.85441940454648857,0.51958395003543356,0.77571129070441991,0.63108794432605275,0.68255314321865412,0.73083596427812403,0.57668032211486708,0.81696989301044198,0.4600650377311522,0.88788521840237522,0.33487961217098627,0.9422609221188204,0.20345601305263397,0.9790840876823228,0.068242413364671003,0.99766876919053915,0,0.97908408768232291,0.20345601305263378,0.91721130150545305,0.39840108984624145,0.81696989301044209,0.57668032211486708,0.68255314321865412,0.73083596427812403,0.51958395003543356,0.85441940454648857,0.33487961217098627,0.9422609221188204,0.13616664909624659,0.99068594603633076,-0.068242413364670879,0.99766876919053915,-0.26979677115702411,0.96291728734779936,-0.46006503773115209,0.88788521840237522,-0.63108794432605286,0.7757112907044198,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9975640502598242,0.069756473744125302,0.99026806874157036,0.13917310096006544,0.97814760073380569,0.20791169081775934,0.96126169593831889,0.27563735581699916,0.93969262078590843,0.34202014332566871,0.91354545764260087,0.40673664307580021,0.88294759285892699,0.46947156278589081,0.84804809615642596,0.5299192642332049,0.80901699437494745,0.58778525229247314,0.76604444311897801,0.64278760968653925,0.71933980033865119,0.69465837045899725,0.66913060635885824,0.74314482547739424,0.61566147532565829,0.78801075360672201,0.55919290347074679,0.82903757255504174,0.50000000000000011,0.8660254037844386,0.43837114678907746,0.89879404629916693,0.37460659341591196,0.92718385456678742,0.30901699437494745,0.95105651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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/runner.c
new file mode 100644
index 000000000000..ee9a53000bd4
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/runner.c
@@ -0,0 +1,286 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/**
+* Generate FFTPACK test fixtures.
+*
+* ## Notes
+*
+* -   Run this script from the directory in which fixtures should be written.
+*
+*/
+
+#include <stdlib.h>
+#include <stdio.h>
+#include <time.h>
+
+/**
+* Define prototypes for external functions.
+*/
+extern void rffti( int n, double *wsave );
+
+/**
+* Generates a random number on the interval [0,1].
+*
+* @return random number
+*/
+double rand_double( void ) {
+	int r = rand();
+	return (double)r / ( (double)RAND_MAX + 1.0 );
+}
+
+/**
+* Generates an array of pseudorandom integers drawn from a uniform distribution.
+*
+* ## Notes
+*
+* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
+*
+*
+* @param out  output array
+* @param len  array length
+* @param a    lower bound (inclusive)
+* @param b    upper bound (exclusive)
+*/
+void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
+	unsigned int i;
+	unsigned int r;
+	double delta;
+
+	delta = (double)b - (double)a;
+
+	for ( i = 0; i < len; i++ ) {
+		r = (unsigned int)( delta * rand_double() ); // truncation
+		out[ i ] = (int)( a + r );
+	}
+}
+
+/**
+* Writes an array of doubles to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of doubles
+* @param len  array length
+*/
+void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%.17g", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes an array of integers to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of integers
+* @param len  array length
+*/
+void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%d", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes a named array of doubles to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_f64( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes a named array of integers to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_i32( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes data to a file as JSON.
+*
+* ## Notes
+*
+* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
+*
+*
+* @param f          file to write to
+* @param lengths    sequence lengths
+* @param offsets    twiddle offsets
+* @param twiddles   twiddle factors
+* @param num        number of sequence lengths
+* @param total      total number of twiddle values
+*/
+void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *twiddles, const unsigned int num, const unsigned int total ) {
+	fprintf( f, "{" );
+	write_named_array_i32( f, "lengths", lengths, num );
+	fprintf( f, "," );
+	write_named_array_i32( f, "offsets", offsets, num );
+	fprintf( f, "," );
+	write_named_array_f64( f, "twiddles", twiddles, total );
+	fprintf( f, "}\n" );
+}
+
+/**
+* Generates test fixtures.
+*
+* @param lengths  sequence lengths
+* @param offsets  twiddle offsets into flat output array
+* @param num      number of sequence lengths
+* @param total    total number of twiddle values
+* @param name     output filename
+*/
+void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
+	unsigned int i;
+	unsigned int j;
+	double *twiddles;
+	double *wsave;
+	FILE *f;
+	int off;
+	int n;
+
+	// Allocate an output array:
+	twiddles = (double*) malloc( total * sizeof(double) );
+	if ( twiddles == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	for ( i = 0; i < num; i++ ) {
+		n = lengths[ i ];
+		wsave = (double*) calloc( 2*n + 15, sizeof(double) );
+		if ( wsave == NULL ) {
+			printf( "Error allocating memory.\n" );
+			exit( 1 );
+		}
+		rffti( n, wsave );
+
+		// Copy twiddle region into flat array (N values starting at wsave[n]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)n; j++ ) {
+			twiddles[ off + j ] = wsave[ n + j ];
+		}
+		free( wsave );
+	}
+	// Open a new file:
+	f = fopen( name, "w" );
+	if ( f == NULL ) {
+		printf( "Error opening file.\n" );
+		exit( 1 );
+	}
+
+	// Write data as JSON:
+	write_data_as_json( f, lengths, offsets, twiddles, num, total );
+
+	// Close the file:
+	fclose( f );
+
+	// Free allocated memory:
+	free( twiddles );
+}
+
+/**
+* Computes offsets into a flat twiddle array for each sequence length.
+*
+* @param offsets  output array of offsets
+* @param lengths  sequence lengths
+* @param num      number of sequence lengths
+* @return total number of twiddle values
+*/
+unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
+	unsigned int total;
+	unsigned int i;
+
+	total = 0;
+	for ( i = 0; i < num; i++ ) {
+		offsets[ i ] = total;
+		total += lengths[ i ];
+	}
+	return total;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	unsigned int total;
+	unsigned int num;
+	int *lengths;
+	int *offsets;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	// Define the number of sequence lengths per range:
+	num = 10;
+
+	// Allocate arrays:
+	lengths = (int*) malloc( num * sizeof(int) );
+	if ( lengths == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+	offsets = (int*) malloc( num * sizeof(int) );
+	if ( offsets == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	rand_array_i32( lengths, num, 2, 16 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "small.json" );
+
+	rand_array_i32( lengths, num, 16, 128 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "medium.json" );
+
+	rand_array_i32( lengths, num, 128, 1024 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "large.json" );
+
+	// Free allocated memory:
+	free( lengths );
+	free( offsets );
+
+	return 0;
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/small.json
new file mode 100644
index 000000000000..843a8a90f932
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/fixtures/c/fftpack/small.json
@@ -0,0 +1 @@
+{"lengths":[11,10,14,12,10,13,11,3,12,7],"offsets":[0,11,21,35,47,57,70,81,84,96],"twiddles":[0,0,0,0,0,0,0,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0.90096886790241915,0.43388373911755812,0.62348980185873359,0.7818314824680298,0.22252093395631445,0.97492791218182362,0,0,0,0,0,0,0,0,0.86602540378443871,0.49999999999999994,0,0.50000000000000011,0.8660254037844386,0,6.123233995736766e-17,1,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.86602540378443871,0.49999999999999994,0,0.50000000000000011,0.8660254037844386,0,6.123233995736766e-17,1,0,0,0,0,0,0,0,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/test.js
new file mode 100644
index 000000000000..dbb843b8ba34
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rffti/test/test.js
@@ -0,0 +1,231 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
+var rffti = require( './../lib' );
+
+
+// FIXTURES //
+
+var small = require( './fixtures/c/fftpack/small.json' );
+var medium = require( './fixtures/c/fftpack/medium.json' );
+var large = require( './fixtures/c/fftpack/large.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof rffti, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 4', function test( t ) {
+	t.strictEqual( rffti.length, 4, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns a reference to the workspace array', function test( t ) {
+	var workspace;
+	var out;
+	var N;
+
+	N = 8;
+	workspace = new Float64Array( ( 2*N ) + 34 );
+	out = rffti( N, workspace, 1, 0 );
+
+	t.strictEqual( out, workspace, 'same reference' );
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 2*N ) + 34 );
+		rffti( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N-1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ N+i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 2*N ) + 34 );
+		rffti( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N-1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ N+i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 2*N ) + 34 );
+		rffti( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N-1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ N+i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
+	var workspace;
+	var N;
+	var i;
+
+	N = 8;
+	workspace = new Float64Array( ( 2*N ) + 34 );
+
+	for ( i = 0; i < workspace.length; i++ ) {
+		workspace[ i ] = i + 1.0;
+	}
+	rffti( N, workspace, 1, 0 );
+	for ( i = 0; i < N; i++ ) {
+		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'the function does not modify the workspace when N is 1', function test( t ) {
+	var workspace;
+	var expected;
+	var N;
+	var i;
+
+	N = 1;
+	workspace = new Float64Array( ( 2*N ) + 34 );
+	for ( i = 0; i < workspace.length; i++ ) {
+		workspace[ i ] = i + 1.0;
+	}
+	expected = new Float64Array( workspace );
+
+	rffti( N, workspace, 1, 0 );
+
+	t.deepEqual( workspace, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function correctly handles stride and offset parameters', function test( t ) {
+	var workspace;
+	var expected;
+	var stride;
+	var offset;
+	var nf;
+	var N;
+	var i;
+
+	N = 8;
+	stride = 2;
+	offset = 3;
+	workspace = new Float64Array( offset + ( ( ( 2*N ) + 34 ) * stride ) );
+
+	rffti( N, workspace, stride, offset );
+
+	t.strictEqual( workspace[ offset + ( 2*N * stride ) ], N, 'returns expected value' );
+
+	nf = workspace[ offset + ( ( ( 2*N ) + 1 ) * stride ) ];
+	t.strictEqual( nf, 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( ( 2*N ) + 2 ) * stride ) ], 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( ( 2*N ) + 3 ) * stride ) ], 4, 'returns expected value' );
+
+	expected = new Float64Array( ( 2*N ) + 34 );
+	rffti( N, expected, 1, 0 );
+
+	for ( i = 0; i < N; i++ ) {
+		t.strictEqual( workspace[ offset + ( ( N+i ) * stride ) ], expected[ N+i ], 'returns expected value' );
+	}
+	t.end();
+});

From ced088476b33b98b0d1762426e5344036034c87a Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:28:39 +0530
Subject: [PATCH 10/32] remove: remove `rffti` from namespace

This commit removes the `rffti` symbol from the
`@stdlib/fft/base/fftpack` namespace due to a package migration.

BREAKING CHANGE: remove `rffti`

To migrate, users should access the same symbol via the
`@stdlib/fft/base/fftpack/generic` namespace.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/docs/types/index.d.ts    | 35 -------------------
 .../@stdlib/fft/base/fftpack/lib/index.js     |  9 -----
 2 files changed, 44 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
index 0d2f03ce3dca..80d670dbd5d5 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
@@ -22,7 +22,6 @@
 
 import cosqi = require( '@stdlib/fft/base/fftpack/cosqi' );
 import costi = require( '@stdlib/fft/base/fftpack/costi' );
-import rffti = require( '@stdlib/fft/base/fftpack/rffti' );
 import sinqi = require( '@stdlib/fft/base/fftpack/sinqi' );
 import sinti = require( '@stdlib/fft/base/fftpack/sinti' );
 
@@ -103,40 +102,6 @@ interface Namespace {
 	*/
 	costi: typeof costi;
 
-	/**
-	* Initializes a workspace array for performing a real-valued Fourier transform.
-	*
-	* ## Notes
-	*
-	* -   The workspace array should have a length of at least `( 2*N ) + 34` elements.
-	* -   For single-point sequences (N=1), the function returns immediately as the FFT is the identity operation.
-	*
-	* @param N - length of the sequence
-	* @param workspace - workspace array
-	* @param strideW - stride length for `workspace`
-	* @param offsetW - starting index for `workspace`
-	* @returns workspace array
-	*
-	* @example
-	* var Float64Array = require( '@stdlib/array/float64' );
-	*
-	* var N = 8;
-	* var workspace = new Float64Array( ( 2*N ) + 34 );
-	*
-	* var out = ns.rffti( N, workspace, 1, 0 );
-	* // returns <Float64Array>
-	*
-	* var bool = ( out === workspace );
-	* // returns true
-	*
-	* var twiddleFactors = workspace.slice( N, 2*N );
-	* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-	*
-	* var factors = workspace.slice( 2*N, ( 2*N ) + 4 );
-	* // returns <Float64Array>[ 8, 2, 2, 4 ]
-	*/
-	rffti: typeof rffti;
-
 	/**
 	* Initializes a workspace array for performing a quarter-wave sine transform.
 	*
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
index 9bc8ac037c87..2519ae1de318 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
@@ -58,15 +58,6 @@ setReadOnly( ns, 'cosqi', require( '@stdlib/fft/base/fftpack/cosqi' ) );
 */
 setReadOnly( ns, 'costi', require( '@stdlib/fft/base/fftpack/costi' ) );
 
-/**
-* @name rffti
-* @memberof ns
-* @readonly
-* @type {Function}
-* @see {@link module:@stdlib/fft/base/fftpack/rffti}
-*/
-setReadOnly( ns, 'rffti', require( '@stdlib/fft/base/fftpack/rffti' ) );
-
 /**
 * @name sinqi
 * @memberof ns

From db929ed634a85e19e0b3d182fc230cc4dc34d089 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:29:15 +0530
Subject: [PATCH 11/32] refactor: update paths

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 lib/node_modules/@stdlib/fft/base/fftpack/README.md       | 4 ++--
 .../@stdlib/fft/base/fftpack/cosqi/lib/main.js            | 2 +-
 .../@stdlib/fft/base/fftpack/costi/lib/main.js            | 2 +-
 .../@stdlib/fft/base/fftpack/ndarray/rffti/lib/main.js    | 2 +-
 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/README.md | 8 ++++----
 .../@stdlib/fft/base/fftpack/rfftf/benchmark/benchmark.js | 2 +-
 .../@stdlib/fft/base/fftpack/rfftf/docs/repl.txt          | 2 +-
 .../@stdlib/fft/base/fftpack/rfftf/docs/types/index.d.ts  | 2 +-
 .../@stdlib/fft/base/fftpack/rfftf/examples/index.js      | 2 +-
 .../@stdlib/fft/base/fftpack/rfftf/lib/index.js           | 2 +-
 .../@stdlib/fft/base/fftpack/rfftf/lib/main.js            | 2 +-
 .../@stdlib/fft/base/fftpack/rfftf/test/test.js           | 2 +-
 .../@stdlib/fft/base/fftpack/sinti/lib/main.js            | 2 +-
 13 files changed, 17 insertions(+), 17 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
index b2db94ae2fd6..99f304b79d70 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/README.md
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
@@ -47,7 +47,7 @@ var o = ns;
 -   <span class="signature">[`cosqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/cosqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave cosine transform.</span>
 -   <span class="signature">[`costi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/costi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a cosine transform.</span>
 -   <span class="signature">[`decompose( N, M, initial, si, oi, out, so, oo )`][@stdlib/fft/base/fftpack/decompose]</span><span class="delimiter">: </span><span class="description">factorize a sequence length into a product of integers.</span>
--   <span class="signature">[`rffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/rffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a real-valued Fourier transform.</span>
+-   <span class="signature">[`rffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/rffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a real-valued Fourier transform.</span>
 -   <span class="signature">[`sinqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/sinqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave sine transform.</span>
 -   <span class="signature">[`sinti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/sinti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a sine transform.</span>
 
@@ -100,7 +100,7 @@ console.log( objectKeys( ns ) );
 
 [@stdlib/fft/base/fftpack/decompose]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/decompose
 
-[@stdlib/fft/base/fftpack/rffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/rffti
+[@stdlib/fft/base/fftpack/generic/rffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/rffti
 
 [@stdlib/fft/base/fftpack/sinqi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/sinqi
 
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/main.js
index 24d6b4da6a29..8279fd9e3ef6 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/main.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/main.js
@@ -62,7 +62,7 @@
 
 var cos = require( '@stdlib/math/base/special/cos' );
 var HALF_PI = require( '@stdlib/constants/float64/half-pi' );
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 
 
 // MAIN //
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/main.js
index 7c289635ee44..be4d132bd82d 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/main.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/main.js
@@ -63,7 +63,7 @@
 var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
 var PI = require( '@stdlib/constants/float64/pi' );
 var floor = require( '@stdlib/math/base/special/floor' );
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 
 
 // VARIABLES //
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/main.js
index 8878a9993896..3826d518e4b3 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/main.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/main.js
@@ -23,7 +23,7 @@
 var getStride = require( '@stdlib/ndarray/base/stride' );
 var getOffset = require( '@stdlib/ndarray/base/offset' );
 var getData = require( '@stdlib/ndarray/base/data-buffer' );
-var strided = require( '@stdlib/fft/base/fftpack/rffti' );
+var strided = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 var ndarraylike2scalar = require( '@stdlib/ndarray/base/ndarraylike2scalar' );
 
 
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/README.md
index 310db951e449..d1bc2a8f7277 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/README.md
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/README.md
@@ -46,7 +46,7 @@ Computes the forward discrete Fourier transform (DFT) of a real-valued sequence.
 
 ```javascript
 var Float64Array = require( '@stdlib/array/float64' );
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 
 var N = 4;
 var w = new Float64Array( ( 2*N ) + 34 );
@@ -80,7 +80,7 @@ The function accepts the following arguments:
 
 ## Notes
 
--   Before calling this function, initialize the workspace by calling [`rffti`][@stdlib/fft/base/fftpack/rffti] with the same sequence length and workspace layout.
+-   Before calling this function, initialize the workspace by calling [`rffti`][@stdlib/fft/base/fftpack/generic/rffti] with the same sequence length and workspace layout.
 
 -   The function performs the transform in-place (i.e., the input array is **mutated**).
 
@@ -109,7 +109,7 @@ The function accepts the following arguments:
 ```javascript
 var zeros = require( '@stdlib/array/zeros' );
 var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 var rfftf = require( '@stdlib/fft/base/fftpack/rfftf' );
 
 var N = 4;
@@ -151,7 +151,7 @@ console.log( r );
 
 <section class="links">
 
-[@stdlib/fft/base/fftpack/rffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/rffti
+[@stdlib/fft/base/fftpack/generic/rffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/rffti
 
 [@stdlib/fft/base/fftpack/rfftb]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/rfftb
 
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/benchmark/benchmark.js
index ee30b526f798..a4ee0166fc0a 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/benchmark/benchmark.js
@@ -29,7 +29,7 @@ var format = require( '@stdlib/string/format' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var Float64Array = require( '@stdlib/array/float64' );
 var dcopy = require( '@stdlib/blas/base/dcopy' );
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 var pkg = require( './../package.json' ).name;
 var rfftf = require( './../lib' );
 
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/repl.txt
index 515c17b0ed63..b09f9ec4542f 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/repl.txt
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/repl.txt
@@ -44,7 +44,7 @@
     > var N = 4;
     > var r = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0 ] );
     > var w = new {{alias:@stdlib/array/float64}}( ( 2*N ) + 34 );
-    > {{alias:@stdlib/fft/base/fftpack/rffti}}( N, w, 1, 0 )
+    > {{alias:@stdlib/fft/base/fftpack/generic/rffti}}( N, w, 1, 0 )
     <Float64Array>
     > var out = {{alias}}( N, r, 1, 0, w, 1, 0 )
     <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/index.d.ts
index bcbf6e8440be..4bc72a5c96a0 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/index.d.ts
@@ -36,7 +36,7 @@ import { Collection } from '@stdlib/types/array';
 *
 * @example
 * var Float64Array = require( '@stdlib/array/float64' );
-* var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 *
 * var N = 4;
 *
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/examples/index.js
index fa41c6c7afb7..9d00f237c710 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/examples/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/examples/index.js
@@ -20,7 +20,7 @@
 
 var zeros = require( '@stdlib/array/zeros' );
 var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 var rfftf = require( './../lib' );
 
 var N = 4;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/index.js
index 6d40a9f3596f..a426b47bc6a3 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/index.js
@@ -25,7 +25,7 @@
 *
 * @example
 * var Float64Array = require( '@stdlib/array/float64' );
-* var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 * var rfftf = require( '@stdlib/fft/base/fftpack/rfftf' );
 *
 * var N = 4;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/main.js
index 23f2a6606d63..e8c894731ae9 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/main.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/main.js
@@ -79,7 +79,7 @@ var rfftf1 = require( './rfftf1.js' );
 *
 * @example
 * var Float64Array = require( '@stdlib/array/float64' );
-* var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 *
 * var N = 4;
 *
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/test.js
index 72be4c50d58d..51fb2e0b807b 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/test.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/test.js
@@ -23,7 +23,7 @@
 var tape = require( 'tape' );
 var Float64Array = require( '@stdlib/array/float64' );
 var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 var rfftf = require( './../lib' );
 
 
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/main.js
index 45262315d789..6f3da13cc879 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/main.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/main.js
@@ -63,7 +63,7 @@
 var sin = require( '@stdlib/math/base/special/sin' );
 var PI = require( '@stdlib/constants/float64/pi' );
 var floor = require( '@stdlib/math/base/special/floor' );
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
 
 
 // MAIN //

From 2edeede7c98048988ae97b6d97717db6c379e973 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:29:48 +0530
Subject: [PATCH 12/32] remove: remove `fft/base/fftpack/rffti`

This commit removes `@stdlib/fft/base/fftpack/rffti` in favor of
`@stdlib/fft/base/fftpack/generic/rffti`.

BREAKING CHANGE: remove `fft/base/fftpack/rffti`

To migrate, users should update their require/import paths to use
`@stdlib/fft/base/fftpack/generic/rffti` which provides the same API and implementation.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../@stdlib/fft/base/fftpack/rffti/README.md  | 167 ----------
 .../base/fftpack/rffti/benchmark/benchmark.js | 101 -------
 .../fft/base/fftpack/rffti/docs/repl.txt      |  55 ----
 .../base/fftpack/rffti/docs/types/index.d.ts  |  62 ----
 .../fft/base/fftpack/rffti/docs/types/test.ts |  94 ------
 .../fft/base/fftpack/rffti/examples/index.js  |  41 ---
 .../fft/base/fftpack/rffti/lib/index.js       |  53 ----
 .../fft/base/fftpack/rffti/lib/main.js        | 176 -----------
 .../fft/base/fftpack/rffti/lib/rffti1.js      | 183 -----------
 .../fft/base/fftpack/rffti/package.json       |  64 ----
 .../rffti/test/fixtures/c/fftpack/Makefile    | 137 ---------
 .../rffti/test/fixtures/c/fftpack/large.json  |   1 -
 .../rffti/test/fixtures/c/fftpack/medium.json |   1 -
 .../rffti/test/fixtures/c/fftpack/runner.c    | 286 ------------------
 .../rffti/test/fixtures/c/fftpack/small.json  |   1 -
 .../fft/base/fftpack/rffti/test/test.js       | 231 --------------
 16 files changed, 1653 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/README.md
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/benchmark/benchmark.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/repl.txt
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/types/index.d.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/types/test.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/examples/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/main.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/rffti1.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/package.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/Makefile
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/large.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/medium.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/runner.c
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/small.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/README.md
deleted file mode 100644
index e5228324e714..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/README.md
+++ /dev/null
@@ -1,167 +0,0 @@
-<!--
-
-@license Apache-2.0
-
-Copyright (c) 2026 The Stdlib Authors.
-
-Licensed under the Apache License, Version 2.0 (the "License");
-you may not use this file except in compliance with the License.
-You may obtain a copy of the License at
-
-   http://www.apache.org/licenses/LICENSE-2.0
-
-Unless required by applicable law or agreed to in writing, software
-distributed under the License is distributed on an "AS IS" BASIS,
-WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-See the License for the specific language governing permissions and
-limitations under the License.
-
--->
-
-# rffti
-
-> Initialize a workspace array for performing a real-valued Fourier transform.
-
-<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
-
-<section class="intro">
-
-</section>
-
-<!-- /.intro -->
-
-<!-- Package usage documentation. -->
-
-<section class="usage">
-
-## Usage
-
-```javascript
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
-```
-
-#### rffti( N, workspace, strideW, offsetW )
-
-Initializes a workspace array for performing a real-valued Fourier transform.
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-
-var N = 8;
-var workspace = new Float64Array( ( 2*N ) + 34 );
-
-var out = rffti( N, workspace, 1, 0 );
-// returns <Float64Array>
-
-var bool = ( out === workspace );
-// returns true
-
-var twiddleFactors = workspace.slice( N, 2*N );
-// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-
-var factors = workspace.slice( 2*N, ( 2*N ) + 4 );
-// returns <Float64Array>[ 8, 2, 2, 4 ]
-```
-
-The function accepts the following arguments:
-
--   **N**: length of the sequence to transform.
--   **workspace**: workspace array.
--   **strideW**: stride length for `workspace`.
--   **offsetW**: starting index for `workspace`.
-
-</section>
-
-<!-- /.usage -->
-
-<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="notes">
-
-## Notes
-
--   The workspace array is divided into three sections:
-
-    ```text
-              size = N                 N            2+ceil(log2(N)/2)
-                   ↓                   ↓                  ↓
-        | scratch / workspace | twiddle factors | radix factor table |
-                   ↑                   ↑                  ↑
-    i = 0         ...         N       ...       2N       ...
-    ```
-
-    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-    -   **radix factor table**: a table containing the sequence length `N`, the number of factors into which `N` was decomposed, and the individual integer radix factors.
-
--   In general, a workspace array should have `2N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing twiddle factors and the factorization of `N` are updated.
-
--   The radix factor table is comprised as follows:
-
-    ```text
-    | sequence_length | number_of_factors | integer_factors |
-    ```
-
--   If `N` equals `1`, the function returns early without modifying the workspace, as a single data point is its own Fourier transform.
-
-</section>
-
-<!-- /.notes -->
-
-<section class="examples">
-
-## Examples
-
-<!-- eslint no-undef: "error" -->
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
-
-var N = 8;
-var workspace = new Float64Array( ( 2*N ) + 34 );
-
-rffti( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Twiddle factors:' );
-var idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %d', idx, workspace.slice( N, 2*N ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (2*N)+1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( (2*N)+2, (2*N)+2+nf ) );
-```
-
-</section>
-
-<!-- /.examples -->
-
-<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="references">
-
-</section>
-
-<!-- /.references -->
-
-<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
-
-<section class="related">
-
-</section>
-
-<!-- /.related -->
-
-<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="links">
-
-</section>
-
-<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/benchmark/benchmark.js
deleted file mode 100644
index b2f4afc682ca..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/benchmark/benchmark.js
+++ /dev/null
@@ -1,101 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var bench = require( '@stdlib/bench' );
-var format = require( '@stdlib/string/format' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var Float64Array = require( '@stdlib/array/float64' );
-var pkg = require( './../package.json' ).name;
-var rffti = require( './../lib' );
-
-
-// FUNCTIONS //
-
-/**
-* Creates a benchmark function.
-*
-* @private
-* @param {PositiveInteger} N - sequence length
-* @returns {Function} benchmark function
-*/
-function createBenchmark( N ) {
-	var workspace = new Float64Array( ( 2*N ) + 34 );
-	return benchmark;
-
-	/**
-	* Benchmark function.
-	*
-	* @private
-	* @param {Benchmark} b - benchmark instance
-	*/
-	function benchmark( b ) {
-		var i;
-
-		b.tic();
-		for ( i = 0; i < b.iterations; i++ ) {
-			rffti( N, workspace, 1, 0 );
-			if ( isnan( workspace[ N ] ) ) {
-				b.fail( 'should not return NaN' );
-			}
-		}
-		b.toc();
-		if ( isnan( workspace[ N ] ) ) {
-			b.fail( 'should not return NaN' );
-		}
-		b.pass( 'benchmark finished' );
-		b.end();
-	}
-}
-
-
-// MAIN //
-
-/**
-* Main execution sequence.
-*
-* @private
-*/
-function main() {
-	var lengths;
-	var N;
-	var f;
-	var i;
-
-	lengths = [
-		8,
-		16,
-		32,
-		64,
-		128,
-		256,
-		512,
-		1024
-	];
-
-	for ( i = 0; i < lengths.length; i++ ) {
-		N = lengths[ i ];
-		f = createBenchmark( N );
-		bench( format( '%s:N=%d', pkg, N ), f );
-	}
-}
-
-main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/repl.txt
deleted file mode 100644
index 8edb96270359..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/repl.txt
+++ /dev/null
@@ -1,55 +0,0 @@
-
-{{alias}}( N, workspace, strideW, offsetW )
-    Initializes a workspace array for performing a real-valued Fourier
-    transform.
-
-    The workspace array is divided into three sections:
-
-    1. scratch/workspace: the section ranges from indices 0 to N-1 and is used
-    while performing transforms. This section is not updated during
-    initialization.
-
-    2. twiddle factors: the section ranges from indices N to 2N-1 and stores a
-    table of reusable complex exponential constants as cosine/sine pairs.
-
-    3. radix factor table: the section starts at index 2N and stores the
-    sequence length N, the number of factors into which N was decomposed, and
-    the individual integer radix factors.
-
-    Any remaining array space remains as unused storage.
-
-    Parameters
-    ----------
-    N: integer
-        Length of the sequence.
-
-    workspace: ArrayLikeObject<number>
-        Workspace array.
-
-    strideW: integer
-        Stride length for `workspace`.
-
-    offsetW: integer
-        Starting index for `workspace`.
-
-    Returns
-    -------
-    out: ArrayLikeObject<number>
-        Workspace array.
-
-    Examples
-    --------
-    > var N = 8;
-    > var workspace = new {{alias:@stdlib/array/float64}}( ( 2*N ) + 34 );
-    > var out = {{alias}}( N, workspace, 1, 0 )
-    <Float64Array>
-    > var bool = ( out === workspace )
-    true
-    > var twiddleFactors = workspace.slice( N, 2*N )
-    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-    > var factors = workspace.slice( 2*N, ( 2*N ) + 4 )
-    <Float64Array>[ 8, 2, 2, 4 ]
-
-    See Also
-    --------
-
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/types/index.d.ts
deleted file mode 100644
index 94af8df9504d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/types/index.d.ts
+++ /dev/null
@@ -1,62 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-// TypeScript Version: 4.1
-
-/// <reference types="@stdlib/types"/>
-
-import { Collection } from '@stdlib/types/array';
-
-/**
-* Initializes a workspace array for performing a real-valued Fourier transform.
-*
-* ## Notes
-*
-* -   The workspace array should have a length of at least `( 2*N ) + 34` elements.
-* -   For single-point sequences (N=1), the function returns immediately as the FFT is the identity operation.
-*
-* @param N - length of the sequence
-* @param workspace - workspace array
-* @param strideW - stride length for `workspace`
-* @param offsetW - starting index for `workspace`
-* @returns workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 2*N ) + 34 );
-*
-* var out = rffti( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var twiddleFactors = workspace.slice( N, 2*N );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( 2*N, ( 2*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-declare function rffti<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
-
-
-// EXPORTS //
-
-export = rffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/types/test.ts
deleted file mode 100644
index 02c9ae78e64b..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/docs/types/test.ts
+++ /dev/null
@@ -1,94 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-import rffti = require( './index' );
-
-
-// TESTS //
-
-// The function returns a collection...
-{
-	const workspace = new Float64Array( ( 2*8 ) + 34 );
-
-	rffti( 8, workspace, 1, 0 ); // $ExpectType Float64Array
-}
-
-// The compiler throws an error if the function is provided a first argument which is not a number...
-{
-	const workspace = new Float64Array( ( 2*8 ) + 34 );
-
-	rffti( '8', workspace, 1, 0 ); // $ExpectError
-	rffti( true, workspace, 1, 0 ); // $ExpectError
-	rffti( false, workspace, 1, 0 ); // $ExpectError
-	rffti( null, workspace, 1, 0 ); // $ExpectError
-	rffti( void 0, workspace, 1, 0 ); // $ExpectError
-	rffti( [], workspace, 1, 0 ); // $ExpectError
-	rffti( {}, workspace, 1, 0 ); // $ExpectError
-	rffti( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a second argument which is not a collection...
-{
-	rffti( 8, '50', 1, 0 ); // $ExpectError
-	rffti( 8, 50, 1, 0 ); // $ExpectError
-	rffti( 8, true, 1, 0 ); // $ExpectError
-	rffti( 8, false, 1, 0 ); // $ExpectError
-	rffti( 8, null, 1, 0 ); // $ExpectError
-	rffti( 8, void 0, 1, 0 ); // $ExpectError
-	rffti( 8, {}, 1, 0 ); // $ExpectError
-	rffti( 8, ( x: number ): number => x, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a third argument which is not a number...
-{
-	const workspace = new Float64Array( ( 2*8 ) + 34 );
-
-	rffti( 8, workspace, '1', 0 ); // $ExpectError
-	rffti( 8, workspace, true, 0 ); // $ExpectError
-	rffti( 8, workspace, false, 0 ); // $ExpectError
-	rffti( 8, workspace, null, 0 ); // $ExpectError
-	rffti( 8, workspace, void 0, 0 ); // $ExpectError
-	rffti( 8, workspace, [], 0 ); // $ExpectError
-	rffti( 8, workspace, {}, 0 ); // $ExpectError
-	rffti( 8, workspace, ( x: number ): number => x, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fourth argument which is not a number...
-{
-	const workspace = new Float64Array( ( 2*8 ) + 34 );
-
-	rffti( 8, workspace, 1, '0' ); // $ExpectError
-	rffti( 8, workspace, 1, true ); // $ExpectError
-	rffti( 8, workspace, 1, false ); // $ExpectError
-	rffti( 8, workspace, 1, null ); // $ExpectError
-	rffti( 8, workspace, 1, void 0 ); // $ExpectError
-	rffti( 8, workspace, 1, [] ); // $ExpectError
-	rffti( 8, workspace, 1, {} ); // $ExpectError
-	rffti( 8, workspace, 1, ( x: number ): number => x ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an unsupported number of arguments...
-{
-	const workspace = new Float64Array( ( 2*8 ) + 34 );
-
-	rffti(); // $ExpectError
-	rffti( 8 ); // $ExpectError
-	rffti( 8, workspace ); // $ExpectError
-	rffti( 8, workspace, 1 ); // $ExpectError
-	rffti( 8, workspace, 1, 0, 123 ); // $ExpectError
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/examples/index.js
deleted file mode 100644
index 8f9328400d42..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/examples/index.js
+++ /dev/null
@@ -1,41 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var rffti = require( './../lib' );
-
-var N = 8;
-var workspace = new Float64Array( ( 2*N ) + 34 );
-
-rffti( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Twiddle factors:' );
-var idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %d', idx, workspace.slice( N, 2*N ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (2*N)+1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( (2*N)+2, (2*N)+2+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/index.js
deleted file mode 100644
index b927441e8dcf..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/index.js
+++ /dev/null
@@ -1,53 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-/**
-* Initialize a workspace array for performing a real-valued Fourier transform.
-*
-* @module @stdlib/fft/base/fftpack/rffti
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var rffti = require( '@stdlib/fft/base/fftpack/rffti' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 2*N ) + 34 );
-*
-* var out = rffti( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var twiddleFactors = workspace.slice( N, 2*N );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( 2*N, ( 2*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-
-// MODULES //
-
-var main = require( './main.js' );
-
-
-// EXPORTS //
-
-module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/main.js
deleted file mode 100644
index 1b045b91a18c..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/main.js
+++ /dev/null
@@ -1,176 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var rffti1 = require( './rffti1.js' );
-
-
-// MAIN //
-
-/**
-* Initializes a workspace array for performing a real-valued Fourier transform.
-*
-* ## Notes
-*
-* The workspace array is divided into three sections:
-*
-* ```text
-*           size = N                 N            2+ceil(log2(N)/2)
-*                ↓                   ↓                  ↓
-*     | scratch / workspace | twiddle factors | radix factor table |
-*                ↑                   ↑                  ↑
-* i = 0         ...         N       ...       2N       ...
-* ```
-*
-* where
-*
-* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-* -   **radix factor table**: a table containing the radix factorization of `N`.
-*
-* In general, a workspace array should have `2N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing twiddle factors and the factorization of `N` are updated.
-*
-* > Note: FFTPACK only requires `2N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
-*
-* The first two sections each contain `N` elements, while the last section contains the sequence length, the number of integer factors, and, at most, `ceil(log2(N)/2)` integer radix factors.
-*
-* The factorization section is comprised as follows:
-*
-* ```text
-* | sequence_length | number_of_factors | integer_factors |
-* ```
-*
-* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
-*
-* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
-*
-* ```tex
-* W_N^k
-* ```
-*
-* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
-*
-* ```tex
-* W_N^k = e^{-2\pi ik/N}
-* ```
-*
-* In a backward FFT,
-*
-* ```tex
-* W_N^k = e^{+2\pi ik/N}
-* ```
-*
-* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform (e.g., `rfftf`) multiplying with `(cos,-sin)` and those performing a backward transform (e.g., `rfftb`) multiplying with `(cos,+sin)`.
-*
-* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
-*
-* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
-*
-* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
-*
-* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
-*
-* @param {NonNegativeInteger} N - length of the sequence to transform
-* @param {Collection} workspace - workspace array
-* @param {integer} strideW - stride length for `workspace`
-* @param {NonNegativeInteger} offsetW - starting index for `workspace`
-* @returns {Collection} workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 2*N ) + 34 );
-*
-* var out = rffti( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var twiddleFactors = workspace.slice( N, 2*N );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( 2*N, ( 2*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-function rffti( N, workspace, strideW, offsetW ) {
-	var offsetT;
-	var offsetF;
-
-	// When a sub-sequence is a single data point, the FFT is the identity, so no initialization necessary...
-	if ( N === 1 ) {
-		return workspace;
-	}
-	// Resolve the starting indices for storing twiddle factors and factorization results:
-	offsetT = offsetW + ( N*strideW ); // index offset for twiddle factors
-	offsetF = offsetT + ( N*strideW ); // index offset for factorization results
-
-	// Initialize a provided workspace array:
-	rffti1( N, workspace, strideW, offsetT, workspace, strideW, offsetF );
-
-	return workspace;
-}
-
-
-// EXPORTS //
-
-module.exports = rffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/rffti1.js b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/rffti1.js
deleted file mode 100644
index cafc381f7dd5..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/lib/rffti1.js
+++ /dev/null
@@ -1,183 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
-var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var decompose = require( '@stdlib/fft/base/fftpack/generic/decompose' );
-
-
-// VARIABLES //
-
-// Define a list of initial trial factors for FFT factorization:
-var TRIAL_FACTORS = [ 4, 2, 3, 5 ];
-
-
-// MAIN //
-
-/**
-* Initializes the working arrays for applying a Fourier transform to a real-valued sequence.
-*
-* @private
-* @param {NonNegativeInteger} N - length of the sequence
-* @param {Collection} twiddles - array of twiddle factors
-* @param {integer} strideT - stride length for `twiddles`
-* @param {NonNegativeInteger} offsetT - starting index for `twiddles`
-* @param {Collection} factors - array containing a radix factorization
-* @param {integer} strideF - stride length for `factors`
-* @param {NonNegativeInteger} offsetF - starting index for `factors`
-* @returns {void}
-*/
-function rffti1( N, twiddles, strideT, offsetT, factors, strideF, offsetF ) {
-	var factor;
-	var argld;
-	var argh;
-	var fidx;
-	var nf;
-	var fi;
-	var l2;
-	var l1;
-	var ld;
-	var st;
-	var it;
-	var im;
-	var M;
-	var m;
-	var k;
-	var j;
-
-	// Decompose the sequence length into its radix factors:
-	nf = decompose( N, 4, TRIAL_FACTORS, 1, 0, factors, strideF, offsetF );
-
-	// If the number of radix factors is `1`, the only twiddle factor we need is `W_N^0 = 1`, which the main transform kernels already hard-code, so nothing to pre-compute...
-	if ( nf-1 === 0 ) {
-		return;
-	}
-	// Compute the master angular step (i.e., the basic angle that generates all twiddles):
-	argh = TWO_PI / N;
-
-	// Define the location of the first sine term we want to compute:
-	im = 1;
-
-	// Initialize a running product of factors already processed:
-	l1 = 1;
-
-	// Compute the index of the first radix factor:
-	fidx = offsetF + ( 2*strideF );
-
-	// Compute the stride length for each cosine/sine pair:
-	st = 2 * strideT;
-
-	// Generate twiddle factors...
-	for ( k = 0; k < nf-1; k++ ) {
-		// Resolve the next radix factor:
-		factor = factors[ fidx ];
-
-		// Compute the length of the transform after including the current radix:
-		l2 = factor * l1;
-
-		// Compute the number of the "butterfly wings" (at this stage, the data is viewed as a `factor`-point transform of sub-vectors of length `l1`; `M` describes how many such vectors fit in the full array of length `N`):
-		M = floor( N / l2 );
-
-		// Initialize a running offset used to step the angle:
-		ld = 0;
-
-		// Iterate over each butterfly column within the current radix...
-		for ( j = 1; j < factor; j++ ) {
-			// Advance to the next column:
-			ld += l1;
-
-			// Compute the angle step for this column:
-			argld = ld * argh; // 2π ⋅ j ⋅ li / N, which is the j-th column's base angle
-
-			// Initialize a counter which counts from `1` to `(M/2)-1` (i.e., all non-trivial harmonics):
-			fi = 1.0;
-
-			// Compute the index of the sine term:
-			it = offsetT + ( im*strideT );
-
-			// Iterate over each non-trivial harmonic in the column (note: we skip the `m=0` and `m=1` (i.e., the first cosine/sine pair, the first harmonic `W_N^0 = cos(0) + j sin(0) = 1 + j⋅0` is trivial and hard-coded by transform kernels)...
-			for ( m = 2; m < M; m += 2 ) {
-				// Compute `(cos(fi*argld), sin(fi*argld))`:
-				sincos( fi*argld, twiddles, -strideT, it ); // note: `sincos` returns the sine and cosine, in that order, so we need to use a negative stride when assigning the values to `twiddles` to ensure that cosine comes before sine in the twiddles table
-
-				// Update for the next harmonic:
-				fi += 1.0;
-
-				// Resolve the index of the next sine term:
-				it += st;
-			}
-			// Advance `im` by the size of the current block, skipping the cosine/sine pairs we have just written:
-			im += M;
-		}
-		// Update the running product of factors already processed:
-		l1 = l2;
-
-		// Resolve the index of the next radix factor:
-		fidx += strideF;
-	}
-}
-
-
-// EXPORTS //
-
-module.exports = rffti1;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/package.json
deleted file mode 100644
index ea78bb766695..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/package.json
+++ /dev/null
@@ -1,64 +0,0 @@
-{
-  "name": "@stdlib/fft/base/fftpack/rffti",
-  "version": "0.0.0",
-  "description": "Initialize a workspace array for performing a real-valued Fourier transform.",
-  "license": "Apache-2.0",
-  "author": {
-    "name": "The Stdlib Authors",
-    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-  },
-  "contributors": [
-    {
-      "name": "The Stdlib Authors",
-      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-    }
-  ],
-  "main": "./lib",
-  "directories": {
-    "benchmark": "./benchmark",
-    "doc": "./docs",
-    "example": "./examples",
-    "lib": "./lib",
-    "test": "./test"
-  },
-  "types": "./docs/types",
-  "scripts": {},
-  "homepage": "https://github.com/stdlib-js/stdlib",
-  "repository": {
-    "type": "git",
-    "url": "git://github.com/stdlib-js/stdlib.git"
-  },
-  "bugs": {
-    "url": "https://github.com/stdlib-js/stdlib/issues"
-  },
-  "dependencies": {},
-  "devDependencies": {},
-  "engines": {
-    "node": ">=0.10.0",
-    "npm": ">2.7.0"
-  },
-  "os": [
-    "aix",
-    "darwin",
-    "freebsd",
-    "linux",
-    "macos",
-    "openbsd",
-    "sunos",
-    "win32",
-    "windows"
-  ],
-  "keywords": [
-    "stdlib",
-    "fft",
-    "fftpack",
-    "rffti",
-    "fourier",
-    "transform",
-    "twiddle",
-    "workspace",
-    "initialization",
-    "real"
-  ],
-  "__stdlib__": {}
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/Makefile
deleted file mode 100644
index 7ce16281940d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/Makefile
+++ /dev/null
@@ -1,137 +0,0 @@
-#/
-# @license Apache-2.0
-#
-# Copyright (c) 2026 The Stdlib Authors.
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#    http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-#/
-
-# VARIABLES #
-
-ifndef VERBOSE
-	QUIET := @
-endif
-
-# Specify the path to FFTPACK:
-FFTPACK ?=
-
-# Specify a list of FFTPACK source files:
-FFTPACK_SRC ?=
-
-# Determine the OS:
-#
-# [1]: https://en.wikipedia.org/wiki/Uname#Examples
-# [2]: http://stackoverflow.com/a/27776822/2225624
-OS ?= $(shell uname)
-ifneq (, $(findstring MINGW,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring MSYS,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring CYGWIN,$(OS)))
-	OS := WINNT
-endif
-endif
-endif
-
-# Define the program used for compiling C source files:
-ifdef C_COMPILER
-	CC := $(C_COMPILER)
-else
-	CC := gcc
-endif
-
-# Define the command-line options when compiling C files:
-CFLAGS ?= \
-	-std=c99 \
-	-O3 \
-	-Wall \
-	-pedantic
-
-# Determine whether to generate [position independent code][1]:
-#
-# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
-# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
-ifeq ($(OS), WINNT)
-	fPIC ?=
-else
-	fPIC ?= -fPIC
-endif
-
-# List of C targets:
-c_targets := runner.out
-
-
-# RULES #
-
-#/
-# Compiles C source files.
-#
-# @param {string} [C_COMPILER] - C compiler
-# @param {string} [CFLAGS] - C compiler flags
-# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
-#
-# @example
-# make
-#
-# @example
-# make all
-#/
-all: $(c_targets)
-
-.PHONY: all
-
-#/
-# Compiles C source files.
-#
-# @private
-# @param {string} CC - C compiler
-# @param {string} CFLAGS - C compiler flags
-# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
-#/
-$(c_targets): %.out: %.c
-	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
-
-#/
-# Generates test fixtures.
-#
-# @example
-# make run
-#/
-run: $(c_targets)
-	$(QUIET) ./$<
-
-.PHONY: run
-
-#/
-# Removes generated files.
-#
-# @example
-# make clean
-#/
-clean:
-	$(QUIET) -rm -f *.o *.out
-
-.PHONY: clean
-
-#/
-# Removes generated test fixtures.
-#
-# @example
-# make clean-fixtures
-#/
-clean-fixtures:
-	$(QUIET) -rm -f *.json
-
-.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/large.json
deleted file mode 100644
index f8983602724c..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/large.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/medium.json
deleted file mode 100644
index 92bc8b5c15e7..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/medium.json
+++ /dev/null
@@ -1 +0,0 @@
-{"lengths":[95,94,71,43,92,43,90,30,62,57],"offsets":[0,95,189,260,303,395,438,528,558,620],"twiddles":[0.99781362721877453,0.066090584325699447,0.99126406932697519,0.1318921713420689,0.98037996587480936,0.19711702745148033,0.96520891027734868,0.26147994095381977,0.94581724170063464,0.32469946920468351,0.92228975497738475,0.38649916929245226,0.89472932982076347,0.44660880685280657,0.86325648095757379,0.50476553773484378,0.82800883114802004,0.56071505735167271,0,0.99126406932697519,0.1318921713420689,0.96520891027734868,0.26147994095381977,0.92228975497738475,0.38649916929245226,0.86325648095757379,0.50476553773484378,0.78914050939639357,0.61421271268966782,0.70123678427248859,0.71292844829139701,0.60108114728302509,0.79918799689492481,0.49042350383050809,0.87148424362727728,0.37119724891822076,0.92855403848970708,0,0.98037996587480936,0.19711702745148033,0.92228975497738475,0.38649916929245226,0.82800883114802004,0.56071505735167271,0.70123678427248859,0.71292844829139701,0.54694815812242692,0.83716647826252855,0.37119724891822076,0.92855403848970708,0.18088053433210999,0.98350507487238237,-0.016533944766358447,0.999863304992469,-0.21329963074374692,0.97698683078359927,0,0.96520891027734868,0.26147994095381977,0.86325648095757379,0.50476553773484378,0.70123678427248859,0.71292844829139701,0.49042350383050809,0.87148424362727728,0.24548548714079901,0.96940026593933049,-0.016533944766358447,0.999863304992469,-0.27740290876184465,0.96075367613684814,-0.51896957378121522,0.85479271258553891,-0.72442520479108896,0.68935340911856591,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99776687862315316,0.066792633745121552,0.99107748815478014,0.13328695537377883,0.97996170503658686,0.19918598510383609,0.96446917505437657,0.26419540187128598,0.94466909160791879,0.32802485783956914,0.92064988667642877,0.39038927516349481,0.89251883585988123,0.45101011921610179,0.86040157926013938,0.50961664259191741,0.8244415603417603,0.5659470943305952,0.78479938527866089,0.61974988896024497,0.74165210564795758,0.67078473013922346,0.69519242767464229,0.71882368387792939,0.64562785155880242,0.76365219654733207,0.59317974472935531,0.80507005312756286,0.53808235316337272,0.84289227141679701,0.48058175518668378,0.8769499282066715,0.420934762428335,0.9070909137343407,0.3594077728375128,0.93318061104160255,0.29627558088563394,0.95510249720691243,0.2318201502675282,0.97275866376503717,0.16632935458313017,0.98607025399002857,0.10009569162409844,0.99497781508850403,0.033414977007674644,0.99944156373025461,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99766876919053915,0.068242413364670976,0.99068594603633076,0.13616664909624659,0.97908408768232291,0.20345601305263378,0.96291728734779936,0.26979677115702427,0.94226092211882051,0.33487961217098611,0.91721130150545305,0.39840108984624145,0.88788521840237522,0.46006503773115215,0.85441940454648857,0.51958395003543356,0.81696989301044209,0.57668032211486708,0.77571129070441991,0.63108794432605275,0.73083596427812414,0.68255314321865401,0,0.99068594603633076,0.13616664909624659,0.96291728734779936,0.26979677115702427,0.91721130150545305,0.39840108984624145,0.85441940454648857,0.51958395003543356,0.77571129070441991,0.63108794432605275,0.68255314321865412,0.73083596427812403,0.57668032211486708,0.81696989301044198,0.4600650377311522,0.88788521840237522,0.33487961217098627,0.9422609221188204,0.20345601305263397,0.9790840876823228,0.068242413364671003,0.99766876919053915,0,0.97908408768232291,0.20345601305263378,0.91721130150545305,0.39840108984624145,0.81696989301044209,0.57668032211486708,0.68255314321865412,0.73083596427812403,0.51958395003543356,0.85441940454648857,0.33487961217098627,0.9422609221188204,0.13616664909624659,0.99068594603633076,-0.068242413364670879,0.99766876919053915,-0.26979677115702411,0.96291728734779936,-0.46006503773115209,0.88788521840237522,-0.63108794432605286,0.7757112907044198,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9975640502598242,0.069756473744125302,0.99026806874157036,0.13917310096006544,0.97814760073380569,0.20791169081775934,0.96126169593831889,0.27563735581699916,0.93969262078590843,0.34202014332566871,0.91354545764260087,0.40673664307580021,0.88294759285892699,0.46947156278589081,0.84804809615642596,0.5299192642332049,0.80901699437494745,0.58778525229247314,0.76604444311897801,0.64278760968653925,0.71933980033865119,0.69465837045899725,0.66913060635885824,0.74314482547739424,0.61566147532565829,0.78801075360672201,0.55919290347074679,0.82903757255504174,0.50000000000000011,0.8660254037844386,0.43837114678907746,0.89879404629916693,0.37460659341591196,0.92718385456678742,0.30901699437494745,0.95105651629515353,0.24192189559966767,0.97029572627599647,0.17364817766693041,0.98480775301220802,0.10452846326765346,0.99452189536827329,0.03489949670250108,0.99939082701909576,0,0.99026806874157036,0.13917310096006544,0.96126169593831889,0.27563735581699916,0.91354545764260087,0.40673664307580021,0.84804809615642596,0.5299192642332049,0.76604444311897801,0.64278760968653925,0.66913060635885824,0.74314482547739424,0.55919290347074679,0.82903757255504174,0,0.96126169593831889,0.27563735581699916,0.84804809615642596,0.5299192642332049,0.66913060635885824,0.74314482547739424,0.43837114678907746,0.89879404629916693,0.17364817766693041,0.98480775301220802,-0.10452846326765355,0.99452189536827329,-0.37460659341591207,0.92718385456678742,0,0.91354545764260087,0.40673664307580021,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765355,0.99452189536827329,0,0,0,0,0,0,0.97814760073380569,0.20791169081775931,0.91354545764260087,0.40673664307580015,0.80901699437494745,0.58778525229247314,0.66913060635885824,0.74314482547739424,0.50000000000000011,0.8660254037844386,0.30901699437494745,0.95105651629515353,0.10452846326765368,0.99452189536827329,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0,0.99486932339189516,0.10116832198743217,0.97952994125249448,0.20129852008866006,0.95413925640004882,0.29936312297335793,0.9189578116202306,0.39435585511331855,0.87434661614458209,0.48530196253108104,0.82076344120727629,0.57126821509479231,0.75875812269279097,0.65137248272222226,0.68896691907568663,0.72479278722911999,0.61210598254766291,0.79077573693769854,0.52896401032696239,0.84864425749475092,0.44039415155763428,0.89780453957074169,0.34730525284482028,0.93775213214708042,0.25065253225872053,0.96807711886620429,0.1514277775045767,0.98846832432811138,0.050649168838712767,0.99871650717105276,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99393067731794948,0.11000822099407929,0.97579638262743562,0.2186810912063758,0.94581724170063464,0.32469946920468346,0.90435716069757754,0.42677643549640365,0.85191940883832706,0.52367291398787785,0.78914050939639357,0.61421271268966782,0.71678251316845132,0.69729680109399539,0.63572374820996802,0.77191665091632089,0.54694815812242692,0.83716647826252855,0,0.97579638262743562,0.2186810912063758,0.90435716069757754,0.42677643549640365,0.78914050939639357,0.61421271268966782,0.63572374820996802,0.77191665091632089,0.45153335831088948,0.89225423861839392,0.24548548714079924,0.96940026593933037,0.027554342368162059,0.99962030702495142,-0.19171063192373838,0.98145149325241787,-0.40169542465296942,0.9157733266550574,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/runner.c
deleted file mode 100644
index ee9a53000bd4..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/runner.c
+++ /dev/null
@@ -1,286 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-/**
-* Generate FFTPACK test fixtures.
-*
-* ## Notes
-*
-* -   Run this script from the directory in which fixtures should be written.
-*
-*/
-
-#include <stdlib.h>
-#include <stdio.h>
-#include <time.h>
-
-/**
-* Define prototypes for external functions.
-*/
-extern void rffti( int n, double *wsave );
-
-/**
-* Generates a random number on the interval [0,1].
-*
-* @return random number
-*/
-double rand_double( void ) {
-	int r = rand();
-	return (double)r / ( (double)RAND_MAX + 1.0 );
-}
-
-/**
-* Generates an array of pseudorandom integers drawn from a uniform distribution.
-*
-* ## Notes
-*
-* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
-*
-*
-* @param out  output array
-* @param len  array length
-* @param a    lower bound (inclusive)
-* @param b    upper bound (exclusive)
-*/
-void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
-	unsigned int i;
-	unsigned int r;
-	double delta;
-
-	delta = (double)b - (double)a;
-
-	for ( i = 0; i < len; i++ ) {
-		r = (unsigned int)( delta * rand_double() ); // truncation
-		out[ i ] = (int)( a + r );
-	}
-}
-
-/**
-* Writes an array of doubles to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of doubles
-* @param len  array length
-*/
-void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%.17g", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes an array of integers to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of integers
-* @param len  array length
-*/
-void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%d", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes a named array of doubles to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_f64( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes a named array of integers to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_i32( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes data to a file as JSON.
-*
-* ## Notes
-*
-* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
-*
-*
-* @param f          file to write to
-* @param lengths    sequence lengths
-* @param offsets    twiddle offsets
-* @param twiddles   twiddle factors
-* @param num        number of sequence lengths
-* @param total      total number of twiddle values
-*/
-void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *twiddles, const unsigned int num, const unsigned int total ) {
-	fprintf( f, "{" );
-	write_named_array_i32( f, "lengths", lengths, num );
-	fprintf( f, "," );
-	write_named_array_i32( f, "offsets", offsets, num );
-	fprintf( f, "," );
-	write_named_array_f64( f, "twiddles", twiddles, total );
-	fprintf( f, "}\n" );
-}
-
-/**
-* Generates test fixtures.
-*
-* @param lengths  sequence lengths
-* @param offsets  twiddle offsets into flat output array
-* @param num      number of sequence lengths
-* @param total    total number of twiddle values
-* @param name     output filename
-*/
-void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
-	unsigned int i;
-	unsigned int j;
-	double *twiddles;
-	double *wsave;
-	FILE *f;
-	int off;
-	int n;
-
-	// Allocate an output array:
-	twiddles = (double*) malloc( total * sizeof(double) );
-	if ( twiddles == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	for ( i = 0; i < num; i++ ) {
-		n = lengths[ i ];
-		wsave = (double*) calloc( 2*n + 15, sizeof(double) );
-		if ( wsave == NULL ) {
-			printf( "Error allocating memory.\n" );
-			exit( 1 );
-		}
-		rffti( n, wsave );
-
-		// Copy twiddle region into flat array (N values starting at wsave[n]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)n; j++ ) {
-			twiddles[ off + j ] = wsave[ n + j ];
-		}
-		free( wsave );
-	}
-	// Open a new file:
-	f = fopen( name, "w" );
-	if ( f == NULL ) {
-		printf( "Error opening file.\n" );
-		exit( 1 );
-	}
-
-	// Write data as JSON:
-	write_data_as_json( f, lengths, offsets, twiddles, num, total );
-
-	// Close the file:
-	fclose( f );
-
-	// Free allocated memory:
-	free( twiddles );
-}
-
-/**
-* Computes offsets into a flat twiddle array for each sequence length.
-*
-* @param offsets  output array of offsets
-* @param lengths  sequence lengths
-* @param num      number of sequence lengths
-* @return total number of twiddle values
-*/
-unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
-	unsigned int total;
-	unsigned int i;
-
-	total = 0;
-	for ( i = 0; i < num; i++ ) {
-		offsets[ i ] = total;
-		total += lengths[ i ];
-	}
-	return total;
-}
-
-/**
-* Main execution sequence.
-*/
-int main( void ) {
-	unsigned int total;
-	unsigned int num;
-	int *lengths;
-	int *offsets;
-
-	// Use the current time to seed the random number generator:
-	srand( time( NULL ) );
-
-	// Define the number of sequence lengths per range:
-	num = 10;
-
-	// Allocate arrays:
-	lengths = (int*) malloc( num * sizeof(int) );
-	if ( lengths == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-	offsets = (int*) malloc( num * sizeof(int) );
-	if ( offsets == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	rand_array_i32( lengths, num, 2, 16 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "small.json" );
-
-	rand_array_i32( lengths, num, 16, 128 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "medium.json" );
-
-	rand_array_i32( lengths, num, 128, 1024 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "large.json" );
-
-	// Free allocated memory:
-	free( lengths );
-	free( offsets );
-
-	return 0;
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/small.json
deleted file mode 100644
index 843a8a90f932..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/fixtures/c/fftpack/small.json
+++ /dev/null
@@ -1 +0,0 @@
-{"lengths":[11,10,14,12,10,13,11,3,12,7],"offsets":[0,11,21,35,47,57,70,81,84,96],"twiddles":[0,0,0,0,0,0,0,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0.90096886790241915,0.43388373911755812,0.62348980185873359,0.7818314824680298,0.22252093395631445,0.97492791218182362,0,0,0,0,0,0,0,0,0.86602540378443871,0.49999999999999994,0,0.50000000000000011,0.8660254037844386,0,6.123233995736766e-17,1,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.86602540378443871,0.49999999999999994,0,0.50000000000000011,0.8660254037844386,0,6.123233995736766e-17,1,0,0,0,0,0,0,0,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/test.js
deleted file mode 100644
index dbb843b8ba34..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rffti/test/test.js
+++ /dev/null
@@ -1,231 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var tape = require( 'tape' );
-var Float64Array = require( '@stdlib/array/float64' );
-var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
-var rffti = require( './../lib' );
-
-
-// FIXTURES //
-
-var small = require( './fixtures/c/fftpack/small.json' );
-var medium = require( './fixtures/c/fftpack/medium.json' );
-var large = require( './fixtures/c/fftpack/large.json' );
-
-
-// TESTS //
-
-tape( 'main export is a function', function test( t ) {
-	t.ok( true, __filename );
-	t.strictEqual( typeof rffti, 'function', 'main export is a function' );
-	t.end();
-});
-
-tape( 'the function has an arity of 4', function test( t ) {
-	t.strictEqual( rffti.length, 4, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function returns a reference to the workspace array', function test( t ) {
-	var workspace;
-	var out;
-	var N;
-
-	N = 8;
-	workspace = new Float64Array( ( 2*N ) + 34 );
-	out = rffti( N, workspace, 1, 0 );
-
-	t.strictEqual( out, workspace, 'same reference' );
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 2*N ) + 34 );
-		rffti( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N-1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ N+i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 2*N ) + 34 );
-		rffti( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N-1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ N+i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 2*N ) + 34 );
-		rffti( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N-1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ N+i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
-	var workspace;
-	var N;
-	var i;
-
-	N = 8;
-	workspace = new Float64Array( ( 2*N ) + 34 );
-
-	for ( i = 0; i < workspace.length; i++ ) {
-		workspace[ i ] = i + 1.0;
-	}
-	rffti( N, workspace, 1, 0 );
-	for ( i = 0; i < N; i++ ) {
-		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
-	}
-	t.end();
-});
-
-tape( 'the function does not modify the workspace when N is 1', function test( t ) {
-	var workspace;
-	var expected;
-	var N;
-	var i;
-
-	N = 1;
-	workspace = new Float64Array( ( 2*N ) + 34 );
-	for ( i = 0; i < workspace.length; i++ ) {
-		workspace[ i ] = i + 1.0;
-	}
-	expected = new Float64Array( workspace );
-
-	rffti( N, workspace, 1, 0 );
-
-	t.deepEqual( workspace, expected, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function correctly handles stride and offset parameters', function test( t ) {
-	var workspace;
-	var expected;
-	var stride;
-	var offset;
-	var nf;
-	var N;
-	var i;
-
-	N = 8;
-	stride = 2;
-	offset = 3;
-	workspace = new Float64Array( offset + ( ( ( 2*N ) + 34 ) * stride ) );
-
-	rffti( N, workspace, stride, offset );
-
-	t.strictEqual( workspace[ offset + ( 2*N * stride ) ], N, 'returns expected value' );
-
-	nf = workspace[ offset + ( ( ( 2*N ) + 1 ) * stride ) ];
-	t.strictEqual( nf, 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( ( 2*N ) + 2 ) * stride ) ], 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( ( 2*N ) + 3 ) * stride ) ], 4, 'returns expected value' );
-
-	expected = new Float64Array( ( 2*N ) + 34 );
-	rffti( N, expected, 1, 0 );
-
-	for ( i = 0; i < N; i++ ) {
-		t.strictEqual( workspace[ offset + ( ( N+i ) * stride ) ], expected[ N+i ], 'returns expected value' );
-	}
-	t.end();
-});

From 0d08abc37d5644abee604f1a54bad65a69879052 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:31:51 +0530
Subject: [PATCH 13/32] feat: add `fft/base/fftpack/generic/cosqi`

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
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    status: na
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    status: passed
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    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/generic/cosqi/README.md  | 173 ++++++++++
 .../generic/cosqi/benchmark/benchmark.js      | 101 ++++++
 .../base/fftpack/generic/cosqi/docs/repl.txt  |  61 ++++
 .../generic/cosqi/docs/types/index.d.ts       |  64 ++++
 .../fftpack/generic/cosqi/docs/types/test.ts  |  94 ++++++
 .../fftpack/generic/cosqi/examples/index.js   |  45 +++
 .../base/fftpack/generic/cosqi/lib/index.js   |  56 ++++
 .../base/fftpack/generic/cosqi/lib/main.js    | 191 +++++++++++
 .../base/fftpack/generic/cosqi/package.json   |  64 ++++
 .../cosqi/test/fixtures/c/fftpack/Makefile    | 137 ++++++++
 .../cosqi/test/fixtures/c/fftpack/large.json  |   1 +
 .../cosqi/test/fixtures/c/fftpack/medium.json |   1 +
 .../cosqi/test/fixtures/c/fftpack/runner.c    | 304 +++++++++++++++++
 .../cosqi/test/fixtures/c/fftpack/small.json  |   1 +
 .../base/fftpack/generic/cosqi/test/test.js   | 314 ++++++++++++++++++
 15 files changed, 1607 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/Makefile
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/large.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/medium.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/runner.c
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/small.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/README.md
new file mode 100644
index 000000000000..25386818e984
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/README.md
@@ -0,0 +1,173 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# cosqi
+
+> Initialize a workspace array for performing a quarter-wave cosine transform.
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var cosqi = require( '@stdlib/fft/base/fftpack/generic/cosqi' );
+```
+
+#### cosqi( N, workspace, strideW, offsetW )
+
+Initializes a workspace array for performing a quarter-wave cosine transform.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var N = 8;
+var workspace = new Float64Array( ( 3*N ) + 34 );
+
+var out = cosqi( N, workspace, 1, 0 );
+// returns <Float64Array>
+
+var bool = ( out === workspace );
+// returns true
+
+var cosineTable = workspace.slice( 0, N );
+// returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+
+var twiddleFactors = workspace.slice( 2*N, 3*N );
+// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+
+var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
+// returns <Float64Array>[ 8, 2, 2, 4 ]
+```
+
+The function accepts the following arguments:
+
+-   **N**: length of the sequence to transform.
+-   **workspace**: workspace array.
+-   **strideW**: stride length for `workspace`.
+-   **offsetW**: starting index for `workspace`.
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   The workspace array is divided into four sections:
+
+    ```text
+            size = N              N                   N          2+ceil(log2(N)/2)
+                ↓                 ↓                   ↓                  ↓
+        | cosine table | scratch / workspace | twiddle factors | radix factor table |
+                ↑                 ↑                   ↑                  ↑
+    i = 0      ...     N         ...        2N       ...      3N        ...
+    ```
+
+    -   **cosine table**: a table of precomputed cosine coefficients used by quarter-wave cosine transforms.
+    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+    -   **radix factor table**: a table containing the sequence length `N`, the number of factors into which `N` was decomposed, and the individual integer radix factors.
+
+-   In general, a workspace array should have `3N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N` are updated.
+
+-   The radix factor table is comprised as follows:
+
+    ```text
+    | sequence_length | number_of_factors | integer_factors |
+    ```
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var cosqi = require( '@stdlib/fft/base/fftpack/generic/cosqi' );
+
+var N = 8;
+var workspace = new Float64Array( ( 3*N ) + 34 );
+
+cosqi( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Cosine table:' );
+var idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
+
+console.log( 'Twiddle factors:' );
+idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 2*N, 3*N ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (3*N)+1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( (3*N)+2, (3*N)+2+nf ) );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/benchmark/benchmark.js
new file mode 100644
index 000000000000..d8ee9c302270
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/benchmark/benchmark.js
@@ -0,0 +1,101 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var Float64Array = require( '@stdlib/array/float64' );
+var pkg = require( './../package.json' ).name;
+var cosqi = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var workspace = new Float64Array( ( 3*N ) + 34 );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			cosqi( N, workspace, 1, 0 );
+			if ( isnan( workspace[ 2*N ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( workspace[ 2*N ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		8,
+		16,
+		32,
+		64,
+		128,
+		256,
+		512,
+		1024
+	];
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( N );
+		bench( format( '%s:N=%d', pkg, N ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/repl.txt
new file mode 100644
index 000000000000..e3c7577722a8
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/repl.txt
@@ -0,0 +1,61 @@
+
+{{alias}}( N, workspace, strideW, offsetW )
+    Initializes a workspace array for performing a quarter-wave cosine
+    transform.
+
+    The workspace array is divided into four sections:
+
+    1. cosine table: the section ranges from indices 0 to N-1 and is used to
+    store a table of precomputed cosine coefficients used by quarter-wave
+    cosine transforms.
+
+    2. scratch/workspace: the section ranges from indices N to 2N-1 and is used
+    while performing transforms. This section is not updated during
+    initialization.
+
+    3. twiddle factors: the section ranges from indices 2N to 3N-1 and stores a
+    table of reusable complex exponential constants as cosine/sine pairs.
+
+    4. radix factor table: the section starts at index 3N and stores the
+    sequence length N, the number of factors into which N was decomposed, and
+    the individual integer radix factors.
+
+    Any remaining array space remains as unused storage.
+
+    Parameters
+    ----------
+    N: integer
+        Length of the sequence.
+
+    workspace: ArrayLikeObject<number>
+        Workspace array.
+
+    strideW: integer
+        Stride length for `workspace`.
+
+    offsetW: integer
+        Starting index for `workspace`.
+
+    Returns
+    -------
+    out: ArrayLikeObject<number>
+        Workspace array.
+
+    Examples
+    --------
+    > var N = 8;
+    > var workspace = new {{alias:@stdlib/array/float64}}( ( 3*N ) + 34 );
+    > var out = {{alias}}( N, workspace, 1, 0 )
+    <Float64Array>
+    > var bool = ( out === workspace )
+    true
+    > var cosineTable = workspace.slice( 0, N )
+    <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+    > var twiddleFactors = workspace.slice( 2*N, 3*N )
+    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+    > var factors = workspace.slice( 3*N, ( 3*N ) + 4 )
+    <Float64Array>[ 8, 2, 2, 4 ]
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/types/index.d.ts
new file mode 100644
index 000000000000..212032236dca
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/types/index.d.ts
@@ -0,0 +1,64 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Initializes a workspace array for performing a quarter-wave cosine transform.
+*
+* ## Notes
+*
+* -   The workspace array should have a length of at least `( 3*N ) + 34` elements.
+*
+* @param N - length of the sequence
+* @param workspace - workspace array
+* @param strideW - stride length for `workspace`
+* @param offsetW - starting index for `workspace`
+* @returns workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 3*N ) + 34 );
+*
+* var out = cosqi( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var cosineTable = workspace.slice( 0, N );
+* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+*
+* var twiddleFactors = workspace.slice( 2*N, 3*N );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+declare function cosqi<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
+
+
+// EXPORTS //
+
+export = cosqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/types/test.ts
new file mode 100644
index 000000000000..71b2a4a79b50
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/docs/types/test.ts
@@ -0,0 +1,94 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import cosqi = require( './index' );
+
+
+// TESTS //
+
+// The function returns a collection...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	cosqi( 8, workspace, 1, 0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	cosqi( '8', workspace, 1, 0 ); // $ExpectError
+	cosqi( true, workspace, 1, 0 ); // $ExpectError
+	cosqi( false, workspace, 1, 0 ); // $ExpectError
+	cosqi( null, workspace, 1, 0 ); // $ExpectError
+	cosqi( void 0, workspace, 1, 0 ); // $ExpectError
+	cosqi( [], workspace, 1, 0 ); // $ExpectError
+	cosqi( {}, workspace, 1, 0 ); // $ExpectError
+	cosqi( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a collection...
+{
+	cosqi( 8, '50', 1, 0 ); // $ExpectError
+	cosqi( 8, 50, 1, 0 ); // $ExpectError
+	cosqi( 8, true, 1, 0 ); // $ExpectError
+	cosqi( 8, false, 1, 0 ); // $ExpectError
+	cosqi( 8, null, 1, 0 ); // $ExpectError
+	cosqi( 8, void 0, 1, 0 ); // $ExpectError
+	cosqi( 8, {}, 1, 0 ); // $ExpectError
+	cosqi( 8, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	cosqi( 8, workspace, '1', 0 ); // $ExpectError
+	cosqi( 8, workspace, true, 0 ); // $ExpectError
+	cosqi( 8, workspace, false, 0 ); // $ExpectError
+	cosqi( 8, workspace, null, 0 ); // $ExpectError
+	cosqi( 8, workspace, void 0, 0 ); // $ExpectError
+	cosqi( 8, workspace, [], 0 ); // $ExpectError
+	cosqi( 8, workspace, {}, 0 ); // $ExpectError
+	cosqi( 8, workspace, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	cosqi( 8, workspace, 1, '0' ); // $ExpectError
+	cosqi( 8, workspace, 1, true ); // $ExpectError
+	cosqi( 8, workspace, 1, false ); // $ExpectError
+	cosqi( 8, workspace, 1, null ); // $ExpectError
+	cosqi( 8, workspace, 1, void 0 ); // $ExpectError
+	cosqi( 8, workspace, 1, [] ); // $ExpectError
+	cosqi( 8, workspace, 1, {} ); // $ExpectError
+	cosqi( 8, workspace, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	cosqi(); // $ExpectError
+	cosqi( 8 ); // $ExpectError
+	cosqi( 8, workspace ); // $ExpectError
+	cosqi( 8, workspace, 1 ); // $ExpectError
+	cosqi( 8, workspace, 1, 0, 123 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/examples/index.js
new file mode 100644
index 000000000000..76a231803135
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/examples/index.js
@@ -0,0 +1,45 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var cosqi = require( './../lib' );
+
+var N = 8;
+var workspace = new Float64Array( ( 3*N ) + 34 );
+
+cosqi( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Cosine table:' );
+var idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
+
+console.log( 'Twiddle factors:' );
+idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 2*N, 3*N ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (3*N)+1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( (3*N)+2, (3*N)+2+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/lib/index.js
new file mode 100644
index 000000000000..f8b5f34187a4
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/lib/index.js
@@ -0,0 +1,56 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Initialize a workspace array for performing a quarter-wave cosine transform.
+*
+* @module @stdlib/fft/base/fftpack/generic/cosqi
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var cosqi = require( '@stdlib/fft/base/fftpack/generic/cosqi' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 3*N ) + 34 );
+*
+* var out = cosqi( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var cosineTable = workspace.slice( 0, N );
+* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+*
+* var twiddleFactors = workspace.slice( 2*N, 3*N );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/lib/main.js
new file mode 100644
index 000000000000..8279fd9e3ef6
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/lib/main.js
@@ -0,0 +1,191 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var cos = require( '@stdlib/math/base/special/cos' );
+var HALF_PI = require( '@stdlib/constants/float64/half-pi' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+
+
+// MAIN //
+
+/**
+* Initializes a workspace array for performing a quarter-wave cosine transform.
+*
+* ## Notes
+*
+* The workspace array is divided into four sections:
+*
+* ```text
+*          size = N             N                 N           2+ceil(log2(N)/2)
+*             ↓                 ↓                 ↓                  ↓
+*     | cosine table | scratch/workspace | twiddle factors | radix factor table |
+*             ↑                 ↑                 ↑                  ↑
+* i = 0      ...     N         ...       2N      ...       3N       ...
+* ```
+*
+* where
+*
+* -   **cosine table**: a table of precomputed cosine coefficients used by quarter-wave cosine transforms.
+* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+* -   **radix factor table**: a table containing the radix factorization of `N`.
+*
+* In general, a workspace array should have `3N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N` are updated.
+*
+* > Note: FFTPACK only requires `3N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
+*
+* The factorization section is comprised as follows:
+*
+* ```text
+* | sequence_length | number_of_factors | integer_factors |
+* ```
+*
+* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
+*
+* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
+*
+* ```tex
+* W_N^k
+* ```
+*
+* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
+*
+* ```tex
+* W_N^k = e^{-2\pi ik/N}
+* ```
+*
+* In a backward FFT,
+*
+* ```tex
+* W_N^k = e^{+2\pi ik/N}
+* ```
+*
+* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform (e.g., `cosqf`) multiplying with `(cos,-sin)` and those performing a backward transform (e.g., `cosqb`) multiplying with `(cos,+sin)`.
+*
+* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
+*
+* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
+*
+* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
+*
+* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
+*
+* During initialization, `cosqi` first writes the cosine table, and then initializes the remaining three sections using `rffti`.
+*
+* @param {PositiveInteger} N - length of the sequence to transform
+* @param {Collection} workspace - workspace array
+* @param {integer} strideW - stride length for `workspace`
+* @param {NonNegativeInteger} offsetW - starting index for `workspace`
+* @returns {Collection} workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 3*N ) + 34 );
+*
+* var out = cosqi( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var cosineTable = workspace.slice( 0, N );
+* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+*
+* var twiddleFactors = workspace.slice( 2*N, 3*N );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+function cosqi( N, workspace, strideW, offsetW ) {
+	var offsetR;
+	var dt;
+	var iw;
+	var fk;
+	var i;
+
+	// Compute the angular increment:
+	dt = HALF_PI / N;
+
+	// Compute and store the cosine table:
+	fk = 0.0;
+	iw = offsetW;
+	for ( i = 0; i < N; i++ ) {
+		fk += 1.0;
+		workspace[ iw ] = cos( fk*dt );
+		iw += strideW;
+	}
+	// Resolve the starting index for the `rffti` workspace:
+	offsetR = offsetW + ( N*strideW );
+
+	// Initialize the real FFT workspace:
+	rffti( N, workspace, strideW, offsetR );
+
+	return workspace;
+}
+
+
+// EXPORTS //
+
+module.exports = cosqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/package.json
new file mode 100644
index 000000000000..e905bd0c1027
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/package.json
@@ -0,0 +1,64 @@
+{
+  "name": "@stdlib/fft/base/fftpack/generic/cosqi",
+  "version": "0.0.0",
+  "description": "Initialize a workspace array for performing a quarter-wave cosine transform.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "fft",
+    "fftpack",
+    "cosqi",
+    "fourier",
+    "transform",
+    "twiddle",
+    "workspace",
+    "initialization",
+    "cosine"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/Makefile
new file mode 100644
index 000000000000..7ce16281940d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/Makefile
@@ -0,0 +1,137 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+endif
+
+# Specify the path to FFTPACK:
+FFTPACK ?=
+
+# Specify a list of FFTPACK source files:
+FFTPACK_SRC ?=
+
+# Determine the OS:
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate [position independent code][1]:
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := runner.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler
+# @param {string} [CFLAGS] - C compiler flags
+# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
+
+#/
+# Generates test fixtures.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
+
+#/
+# Removes generated test fixtures.
+#
+# @example
+# make clean-fixtures
+#/
+clean-fixtures:
+	$(QUIET) -rm -f *.json
+
+.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/large.json
new file mode 100644
index 000000000000..59059ed184c3
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/large.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/medium.json
new file mode 100644
index 000000000000..7825df644a03
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/medium.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/runner.c
new file mode 100644
index 000000000000..9c78a33c7c15
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/runner.c
@@ -0,0 +1,304 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/**
+* Generate FFTPACK test fixtures.
+*
+* ## Notes
+*
+* -   Run this script from the directory in which fixtures should be written.
+*
+*/
+
+#include <stdlib.h>
+#include <stdio.h>
+#include <time.h>
+
+/**
+* Define prototypes for external functions.
+*/
+extern void cosqi( int n, double *wsave );
+
+/**
+* Generates a random number on the interval [0,1].
+*
+* @return random number
+*/
+double rand_double( void ) {
+	int r = rand();
+	return (double)r / ( (double)RAND_MAX + 1.0 );
+}
+
+/**
+* Generates an array of pseudorandom integers drawn from a uniform distribution.
+*
+* ## Notes
+*
+* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
+*
+*
+* @param out  output array
+* @param len  array length
+* @param a    lower bound (inclusive)
+* @param b    upper bound (exclusive)
+*/
+void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
+	unsigned int i;
+	unsigned int r;
+	double delta;
+
+	delta = (double)b - (double)a;
+
+	for ( i = 0; i < len; i++ ) {
+		r = (unsigned int)( delta * rand_double() ); // truncation
+		out[ i ] = (int)( a + r );
+	}
+}
+
+/**
+* Writes an array of doubles to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of doubles
+* @param len  array length
+*/
+void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%.17g", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes an array of integers to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of integers
+* @param len  array length
+*/
+void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%d", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes a named array of doubles to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_f64( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes a named array of integers to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_i32( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes data to a file as JSON.
+*
+* ## Notes
+*
+* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
+*
+*
+* @param f          file to write to
+* @param lengths    sequence lengths
+* @param offsets    cosine and twiddle offsets
+* @param cosines    cosine values
+* @param twiddles   twiddle factors
+* @param num        number of sequence lengths
+* @param total      total number of cosine and twiddle values
+*/
+void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *cosines, const double *twiddles, const unsigned int num, const unsigned int total ) {
+	fprintf( f, "{" );
+	write_named_array_i32( f, "lengths", lengths, num );
+	fprintf( f, "," );
+	write_named_array_i32( f, "offsets", offsets, num );
+	fprintf( f, "," );
+	write_named_array_f64( f, "cosines", cosines, total );
+	fprintf( f, "," );
+	write_named_array_f64( f, "twiddles", twiddles, total );
+	fprintf( f, "}\n" );
+}
+
+/**
+* Generates test fixtures.
+*
+* @param lengths  sequence lengths
+* @param offsets  cosine and twiddle offsets into flat output array
+* @param num      number of sequence lengths
+* @param total    total number of cosine and twiddle values
+* @param name     output filename
+*/
+void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
+	unsigned int i;
+	unsigned int j;
+	double *cosines;
+	double *twiddles;
+	double *wsave;
+	FILE *f;
+	int off;
+	int n;
+
+	// Allocate an output array for cosine values:
+	cosines = (double*) malloc( total * sizeof(double) );
+	if ( cosines == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Allocate an output array for twiddle factors:
+	twiddles = (double*) malloc( total * sizeof(double) );
+	if ( twiddles == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	for ( i = 0; i < num; i++ ) {
+		n = lengths[ i ];
+		wsave = (double*) calloc( 3*n + 15, sizeof(double) );
+		if ( wsave == NULL ) {
+			printf( "Error allocating memory.\n" );
+			exit( 1 );
+		}
+		cosqi( n, wsave );
+
+		// Copy cosine region into flat array (N values starting at wsave[0]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)n; j++ ) {
+			cosines[ off + j ] = wsave[ j ];
+		}
+
+		// Copy twiddle region into flat array (N values starting at wsave[2*n]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)n; j++ ) {
+			twiddles[ off + j ] = wsave[ ( 2*n ) + j ];
+		}
+		free( wsave );
+	}
+	// Open a new file:
+	f = fopen( name, "w" );
+	if ( f == NULL ) {
+		printf( "Error opening file.\n" );
+		exit( 1 );
+	}
+
+	// Write data as JSON:
+	write_data_as_json( f, lengths, offsets, cosines, twiddles, num, total );
+
+	// Close the file:
+	fclose( f );
+
+	// Free allocated memory:
+	free( cosines );
+	free( twiddles );
+}
+
+/**
+* Computes offsets into flat cosine and twiddle arrays for each sequence length.
+*
+* @param offsets  output array of offsets
+* @param lengths  sequence lengths
+* @param num      number of sequence lengths
+* @return total number of cosine and twiddle values
+*/
+unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
+	unsigned int total;
+	unsigned int i;
+
+	total = 0;
+	for ( i = 0; i < num; i++ ) {
+		offsets[ i ] = total;
+		total += lengths[ i ];
+	}
+	return total;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	unsigned int total;
+	unsigned int num;
+	int *lengths;
+	int *offsets;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	// Define the number of sequence lengths per range:
+	num = 10;
+
+	// Allocate arrays:
+	lengths = (int*) malloc( num * sizeof(int) );
+	if ( lengths == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+	offsets = (int*) malloc( num * sizeof(int) );
+	if ( offsets == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	rand_array_i32( lengths, num, 2, 16 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "small.json" );
+
+	rand_array_i32( lengths, num, 16, 128 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "medium.json" );
+
+	rand_array_i32( lengths, num, 128, 1024 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "large.json" );
+
+	// Free allocated memory:
+	free( lengths );
+	free( offsets );
+
+	return 0;
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/small.json
new file mode 100644
index 000000000000..4e069a37b2ec
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/fixtures/c/fftpack/small.json
@@ -0,0 +1 @@
+{"lengths":[15,2,13,8,15,5,4,6,13,6],"offsets":[0,15,17,30,38,53,58,62,68,81],"cosines":[0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17,0.70710678118654757,6.123233995736766e-17,0.99270887409805397,0.97094181742605201,0.93501624268541483,0.88545602565320991,0.82298386589365646,0.74851074817110119,0.6631226582407953,0.56806474673115581,0.46472317204376862,0.35460488704253579,0.23931566428755782,0.12053668025532323,6.123233995736766e-17,0.98078528040323043,0.92387953251128674,0.83146961230254524,0.70710678118654757,0.55557023301960229,0.38268343236508984,0.19509032201612833,6.123233995736766e-17,0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17,0.95105651629515353,0.80901699437494745,0.58778525229247314,0.30901699437494745,6.123233995736766e-17,0.92387953251128674,0.70710678118654757,0.38268343236508984,6.123233995736766e-17,0.96592582628906831,0.86602540378443871,0.70710678118654757,0.50000000000000011,0.25881904510252096,6.123233995736766e-17,0.99270887409805397,0.97094181742605201,0.93501624268541483,0.88545602565320991,0.82298386589365646,0.74851074817110119,0.6631226582407953,0.56806474673115581,0.46472317204376862,0.35460488704253579,0.23931566428755782,0.12053668025532323,6.123233995736766e-17,0.96592582628906831,0.86602540378443871,0.70710678118654757,0.50000000000000011,0.25881904510252096,6.123233995736766e-17],"twiddles":[0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.50000000000000011,0.8660254037844386,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.50000000000000011,0.8660254037844386,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/test.js
new file mode 100644
index 000000000000..ba823af6d8a1
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/cosqi/test/test.js
@@ -0,0 +1,314 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
+var cosqi = require( './../lib' );
+
+
+// FIXTURES //
+
+var small = require( './fixtures/c/fftpack/small.json' );
+var medium = require( './fixtures/c/fftpack/medium.json' );
+var large = require( './fixtures/c/fftpack/large.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof cosqi, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 4', function test( t ) {
+	t.strictEqual( cosqi.length, 4, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns a reference to the workspace array', function test( t ) {
+	var workspace;
+	var out;
+	var N;
+
+	N = 8;
+	workspace = new Float64Array( ( 3*N ) + 34 );
+	out = cosqi( N, workspace, 1, 0 );
+
+	t.strictEqual( out, workspace, 'same reference' );
+	t.end();
+});
+
+tape( 'the function correctly initializes cosine values (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.cosines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		cosqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		cosqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ (2*N) + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes cosine values (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.cosines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		cosqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		cosqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ (2*N) + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes cosine values (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.cosines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		cosqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		cosqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ (2*N) + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
+	var workspace;
+	var N;
+	var i;
+
+	N = 8;
+	workspace = new Float64Array( ( 3*N ) + 34 );
+
+	for ( i = 0; i < workspace.length; i++ ) {
+		workspace[ i ] = i + 1.0;
+	}
+	cosqi( N, workspace, 1, 0 );
+	for ( i = N; i < 2*N; i++ ) {
+		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'the function correctly handles stride and offset parameters', function test( t ) {
+	var workspace;
+	var expected;
+	var stride;
+	var offset;
+	var nf;
+	var N;
+	var i;
+
+	N = 8;
+	stride = 2;
+	offset = 3;
+	workspace = new Float64Array( offset + ( ( ( 3*N ) + 34 ) * stride ) );
+
+	cosqi( N, workspace, stride, offset );
+
+	t.strictEqual( workspace[ offset + ( 3*N * stride ) ], N, 'returns expected value' );
+
+	nf = workspace[ offset + ( ( ( 3*N ) + 1 ) * stride ) ];
+	t.strictEqual( nf, 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( ( 3*N ) + 2 ) * stride ) ], 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( ( 3*N ) + 3 ) * stride ) ], 4, 'returns expected value' );
+
+	expected = new Float64Array( ( 3*N ) + 34 );
+	cosqi( N, expected, 1, 0 );
+
+	for ( i = 0; i < N; i++ ) {
+		t.strictEqual( workspace[ offset + ( ( (2*N)+i ) * stride ) ], expected[ (2*N)+i ], 'returns expected value' );
+	}
+	t.end();
+});

From 2aaa51582fd8eb161e4e3e221c1f667d047fa847 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:32:19 +0530
Subject: [PATCH 14/32] remove: remove `cosqi` from namespace

This commit removes the `cosqi` symbol from the
`@stdlib/fft/base/fftpack` namespace due to a package migration.

BREAKING CHANGE: remove `cosqi`

To migrate, users should access the same symbol via the
`@stdlib/fft/base/fftpack/generic` namespace.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/docs/types/index.d.ts    | 37 -------------------
 .../@stdlib/fft/base/fftpack/lib/index.js     |  9 -----
 2 files changed, 46 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
index 80d670dbd5d5..e8383235537e 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
@@ -20,7 +20,6 @@
 
 /* eslint-disable max-lines */
 
-import cosqi = require( '@stdlib/fft/base/fftpack/cosqi' );
 import costi = require( '@stdlib/fft/base/fftpack/costi' );
 import sinqi = require( '@stdlib/fft/base/fftpack/sinqi' );
 import sinti = require( '@stdlib/fft/base/fftpack/sinti' );
@@ -30,42 +29,6 @@ import sinti = require( '@stdlib/fft/base/fftpack/sinti' );
 */
 interface Namespace {
 
-	/**
-	* Initializes a workspace array for performing a quarter-wave cosine transform.
-	*
-	* ## Notes
-	*
-	* -   The workspace array should have a length of at least `( 3*N ) + 34` elements.
-	*
-	* @param N - length of the sequence
-	* @param workspace - workspace array
-	* @param strideW - stride length for `workspace`
-	* @param offsetW - starting index for `workspace`
-	* @returns workspace array
-	*
-	* @example
-	* var Float64Array = require( '@stdlib/array/float64' );
-	*
-	* var N = 8;
-	* var workspace = new Float64Array( ( 3*N ) + 34 );
-	*
-	* var out = ns.cosqi( N, workspace, 1, 0 );
-	* // returns <Float64Array>
-	*
-	* var bool = ( out === workspace );
-	* // returns true
-	*
-	* var cosineTable = workspace.slice( 0, N );
-	* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-	*
-	* var twiddleFactors = workspace.slice( 2*N, 3*N );
-	* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-	*
-	* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-	* // returns <Float64Array>[ 8, 2, 2, 4 ]
-	*/
-	cosqi: typeof cosqi;
-
 	/**
 	* Initializes a workspace array for performing a cosine transform.
 	*
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
index 2519ae1de318..df0b23f24168 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
@@ -40,15 +40,6 @@ var setReadOnly = require( '@stdlib/utils/define-read-only-property' );
 */
 var ns = {};
 
-/**
-* @name cosqi
-* @memberof ns
-* @readonly
-* @type {Function}
-* @see {@link module:@stdlib/fft/base/fftpack/cosqi}
-*/
-setReadOnly( ns, 'cosqi', require( '@stdlib/fft/base/fftpack/cosqi' ) );
-
 /**
 * @name costi
 * @memberof ns

From 92b3888b93aed6abe54d7a13e467806c3d83f940 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:32:55 +0530
Subject: [PATCH 15/32] refactor: update paths

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 lib/node_modules/@stdlib/fft/base/fftpack/README.md         | 4 ++--
 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/main.js | 2 +-
 2 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
index 99f304b79d70..9b713e83cf58 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/README.md
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
@@ -44,7 +44,7 @@ var o = ns;
 <div class="namespace-toc">
 
 -   <span class="signature">[`cffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/cffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a complex-valued Fourier transform.</span>
--   <span class="signature">[`cosqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/cosqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave cosine transform.</span>
+-   <span class="signature">[`cosqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/cosqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave cosine transform.</span>
 -   <span class="signature">[`costi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/costi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a cosine transform.</span>
 -   <span class="signature">[`decompose( N, M, initial, si, oi, out, so, oo )`][@stdlib/fft/base/fftpack/decompose]</span><span class="delimiter">: </span><span class="description">factorize a sequence length into a product of integers.</span>
 -   <span class="signature">[`rffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/rffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a real-valued Fourier transform.</span>
@@ -94,7 +94,7 @@ console.log( objectKeys( ns ) );
 
 [@stdlib/fft/base/fftpack/generic/cffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/cffti
 
-[@stdlib/fft/base/fftpack/cosqi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/cosqi
+[@stdlib/fft/base/fftpack/generic/cosqi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/cosqi
 
 [@stdlib/fft/base/fftpack/costi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/costi
 
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/main.js
index 3638dd6fcef1..a707e7335ca8 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/main.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/main.js
@@ -60,7 +60,7 @@
 
 // MODULES //
 
-var cosqi = require( '@stdlib/fft/base/fftpack/cosqi' );
+var cosqi = require( '@stdlib/fft/base/fftpack/generic/cosqi' );
 
 
 // MAIN //

From a3ecdd66a7376a0ed7593b84725b9e208f0aa4bd Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:33:06 +0530
Subject: [PATCH 16/32] remove: remove `fft/base/fftpack/cosqi`

This commit removes `@stdlib/fft/base/fftpack/cosqi` in favor of
`@stdlib/fft/base/fftpack/generic/cosqi`.

BREAKING CHANGE: remove `fft/base/fftpack/cosqi`

To migrate, users should update their require/import paths to use
`@stdlib/fft/base/fftpack/generic/cosqi` which provides the same API and implementation.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../@stdlib/fft/base/fftpack/cosqi/README.md  | 173 ----------
 .../base/fftpack/cosqi/benchmark/benchmark.js | 101 ------
 .../fft/base/fftpack/cosqi/docs/repl.txt      |  61 ----
 .../base/fftpack/cosqi/docs/types/index.d.ts  |  64 ----
 .../fft/base/fftpack/cosqi/docs/types/test.ts |  94 ------
 .../fft/base/fftpack/cosqi/examples/index.js  |  45 ---
 .../fft/base/fftpack/cosqi/lib/index.js       |  56 ----
 .../fft/base/fftpack/cosqi/lib/main.js        | 191 -----------
 .../fft/base/fftpack/cosqi/package.json       |  64 ----
 .../cosqi/test/fixtures/c/fftpack/Makefile    | 137 --------
 .../cosqi/test/fixtures/c/fftpack/large.json  |   1 -
 .../cosqi/test/fixtures/c/fftpack/medium.json |   1 -
 .../cosqi/test/fixtures/c/fftpack/runner.c    | 304 -----------------
 .../cosqi/test/fixtures/c/fftpack/small.json  |   1 -
 .../fft/base/fftpack/cosqi/test/test.js       | 314 ------------------
 15 files changed, 1607 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/README.md
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/benchmark/benchmark.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/repl.txt
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/types/index.d.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/types/test.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/examples/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/main.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/package.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/Makefile
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/large.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/medium.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/runner.c
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/small.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/README.md
deleted file mode 100644
index 68495efc0e52..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/README.md
+++ /dev/null
@@ -1,173 +0,0 @@
-<!--
-
-@license Apache-2.0
-
-Copyright (c) 2026 The Stdlib Authors.
-
-Licensed under the Apache License, Version 2.0 (the "License");
-you may not use this file except in compliance with the License.
-You may obtain a copy of the License at
-
-   http://www.apache.org/licenses/LICENSE-2.0
-
-Unless required by applicable law or agreed to in writing, software
-distributed under the License is distributed on an "AS IS" BASIS,
-WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-See the License for the specific language governing permissions and
-limitations under the License.
-
--->
-
-# cosqi
-
-> Initialize a workspace array for performing a quarter-wave cosine transform.
-
-<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
-
-<section class="intro">
-
-</section>
-
-<!-- /.intro -->
-
-<!-- Package usage documentation. -->
-
-<section class="usage">
-
-## Usage
-
-```javascript
-var cosqi = require( '@stdlib/fft/base/fftpack/cosqi' );
-```
-
-#### cosqi( N, workspace, strideW, offsetW )
-
-Initializes a workspace array for performing a quarter-wave cosine transform.
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-
-var N = 8;
-var workspace = new Float64Array( ( 3*N ) + 34 );
-
-var out = cosqi( N, workspace, 1, 0 );
-// returns <Float64Array>
-
-var bool = ( out === workspace );
-// returns true
-
-var cosineTable = workspace.slice( 0, N );
-// returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-
-var twiddleFactors = workspace.slice( 2*N, 3*N );
-// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-
-var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-// returns <Float64Array>[ 8, 2, 2, 4 ]
-```
-
-The function accepts the following arguments:
-
--   **N**: length of the sequence to transform.
--   **workspace**: workspace array.
--   **strideW**: stride length for `workspace`.
--   **offsetW**: starting index for `workspace`.
-
-</section>
-
-<!-- /.usage -->
-
-<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="notes">
-
-## Notes
-
--   The workspace array is divided into four sections:
-
-    ```text
-            size = N              N                   N          2+ceil(log2(N)/2)
-                ↓                 ↓                   ↓                  ↓
-        | cosine table | scratch / workspace | twiddle factors | radix factor table |
-                ↑                 ↑                   ↑                  ↑
-    i = 0      ...     N         ...        2N       ...      3N        ...
-    ```
-
-    -   **cosine table**: a table of precomputed cosine coefficients used by quarter-wave cosine transforms.
-    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-    -   **radix factor table**: a table containing the sequence length `N`, the number of factors into which `N` was decomposed, and the individual integer radix factors.
-
--   In general, a workspace array should have `3N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N` are updated.
-
--   The radix factor table is comprised as follows:
-
-    ```text
-    | sequence_length | number_of_factors | integer_factors |
-    ```
-
-</section>
-
-<!-- /.notes -->
-
-<section class="examples">
-
-## Examples
-
-<!-- eslint no-undef: "error" -->
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var cosqi = require( '@stdlib/fft/base/fftpack/cosqi' );
-
-var N = 8;
-var workspace = new Float64Array( ( 3*N ) + 34 );
-
-cosqi( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Cosine table:' );
-var idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
-
-console.log( 'Twiddle factors:' );
-idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 2*N, 3*N ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (3*N)+1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( (3*N)+2, (3*N)+2+nf ) );
-```
-
-</section>
-
-<!-- /.examples -->
-
-<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="references">
-
-</section>
-
-<!-- /.references -->
-
-<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
-
-<section class="related">
-
-</section>
-
-<!-- /.related -->
-
-<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="links">
-
-</section>
-
-<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/benchmark/benchmark.js
deleted file mode 100644
index d8ee9c302270..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/benchmark/benchmark.js
+++ /dev/null
@@ -1,101 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var bench = require( '@stdlib/bench' );
-var format = require( '@stdlib/string/format' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var Float64Array = require( '@stdlib/array/float64' );
-var pkg = require( './../package.json' ).name;
-var cosqi = require( './../lib' );
-
-
-// FUNCTIONS //
-
-/**
-* Creates a benchmark function.
-*
-* @private
-* @param {PositiveInteger} N - sequence length
-* @returns {Function} benchmark function
-*/
-function createBenchmark( N ) {
-	var workspace = new Float64Array( ( 3*N ) + 34 );
-	return benchmark;
-
-	/**
-	* Benchmark function.
-	*
-	* @private
-	* @param {Benchmark} b - benchmark instance
-	*/
-	function benchmark( b ) {
-		var i;
-
-		b.tic();
-		for ( i = 0; i < b.iterations; i++ ) {
-			cosqi( N, workspace, 1, 0 );
-			if ( isnan( workspace[ 2*N ] ) ) {
-				b.fail( 'should not return NaN' );
-			}
-		}
-		b.toc();
-		if ( isnan( workspace[ 2*N ] ) ) {
-			b.fail( 'should not return NaN' );
-		}
-		b.pass( 'benchmark finished' );
-		b.end();
-	}
-}
-
-
-// MAIN //
-
-/**
-* Main execution sequence.
-*
-* @private
-*/
-function main() {
-	var lengths;
-	var N;
-	var f;
-	var i;
-
-	lengths = [
-		8,
-		16,
-		32,
-		64,
-		128,
-		256,
-		512,
-		1024
-	];
-
-	for ( i = 0; i < lengths.length; i++ ) {
-		N = lengths[ i ];
-		f = createBenchmark( N );
-		bench( format( '%s:N=%d', pkg, N ), f );
-	}
-}
-
-main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/repl.txt
deleted file mode 100644
index e3c7577722a8..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/repl.txt
+++ /dev/null
@@ -1,61 +0,0 @@
-
-{{alias}}( N, workspace, strideW, offsetW )
-    Initializes a workspace array for performing a quarter-wave cosine
-    transform.
-
-    The workspace array is divided into four sections:
-
-    1. cosine table: the section ranges from indices 0 to N-1 and is used to
-    store a table of precomputed cosine coefficients used by quarter-wave
-    cosine transforms.
-
-    2. scratch/workspace: the section ranges from indices N to 2N-1 and is used
-    while performing transforms. This section is not updated during
-    initialization.
-
-    3. twiddle factors: the section ranges from indices 2N to 3N-1 and stores a
-    table of reusable complex exponential constants as cosine/sine pairs.
-
-    4. radix factor table: the section starts at index 3N and stores the
-    sequence length N, the number of factors into which N was decomposed, and
-    the individual integer radix factors.
-
-    Any remaining array space remains as unused storage.
-
-    Parameters
-    ----------
-    N: integer
-        Length of the sequence.
-
-    workspace: ArrayLikeObject<number>
-        Workspace array.
-
-    strideW: integer
-        Stride length for `workspace`.
-
-    offsetW: integer
-        Starting index for `workspace`.
-
-    Returns
-    -------
-    out: ArrayLikeObject<number>
-        Workspace array.
-
-    Examples
-    --------
-    > var N = 8;
-    > var workspace = new {{alias:@stdlib/array/float64}}( ( 3*N ) + 34 );
-    > var out = {{alias}}( N, workspace, 1, 0 )
-    <Float64Array>
-    > var bool = ( out === workspace )
-    true
-    > var cosineTable = workspace.slice( 0, N )
-    <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-    > var twiddleFactors = workspace.slice( 2*N, 3*N )
-    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-    > var factors = workspace.slice( 3*N, ( 3*N ) + 4 )
-    <Float64Array>[ 8, 2, 2, 4 ]
-
-    See Also
-    --------
-
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/types/index.d.ts
deleted file mode 100644
index 212032236dca..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/types/index.d.ts
+++ /dev/null
@@ -1,64 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-// TypeScript Version: 4.1
-
-/// <reference types="@stdlib/types"/>
-
-import { Collection } from '@stdlib/types/array';
-
-/**
-* Initializes a workspace array for performing a quarter-wave cosine transform.
-*
-* ## Notes
-*
-* -   The workspace array should have a length of at least `( 3*N ) + 34` elements.
-*
-* @param N - length of the sequence
-* @param workspace - workspace array
-* @param strideW - stride length for `workspace`
-* @param offsetW - starting index for `workspace`
-* @returns workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 3*N ) + 34 );
-*
-* var out = cosqi( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var cosineTable = workspace.slice( 0, N );
-* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-*
-* var twiddleFactors = workspace.slice( 2*N, 3*N );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-declare function cosqi<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
-
-
-// EXPORTS //
-
-export = cosqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/types/test.ts
deleted file mode 100644
index 71b2a4a79b50..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/docs/types/test.ts
+++ /dev/null
@@ -1,94 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-import cosqi = require( './index' );
-
-
-// TESTS //
-
-// The function returns a collection...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	cosqi( 8, workspace, 1, 0 ); // $ExpectType Float64Array
-}
-
-// The compiler throws an error if the function is provided a first argument which is not a number...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	cosqi( '8', workspace, 1, 0 ); // $ExpectError
-	cosqi( true, workspace, 1, 0 ); // $ExpectError
-	cosqi( false, workspace, 1, 0 ); // $ExpectError
-	cosqi( null, workspace, 1, 0 ); // $ExpectError
-	cosqi( void 0, workspace, 1, 0 ); // $ExpectError
-	cosqi( [], workspace, 1, 0 ); // $ExpectError
-	cosqi( {}, workspace, 1, 0 ); // $ExpectError
-	cosqi( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a second argument which is not a collection...
-{
-	cosqi( 8, '50', 1, 0 ); // $ExpectError
-	cosqi( 8, 50, 1, 0 ); // $ExpectError
-	cosqi( 8, true, 1, 0 ); // $ExpectError
-	cosqi( 8, false, 1, 0 ); // $ExpectError
-	cosqi( 8, null, 1, 0 ); // $ExpectError
-	cosqi( 8, void 0, 1, 0 ); // $ExpectError
-	cosqi( 8, {}, 1, 0 ); // $ExpectError
-	cosqi( 8, ( x: number ): number => x, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a third argument which is not a number...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	cosqi( 8, workspace, '1', 0 ); // $ExpectError
-	cosqi( 8, workspace, true, 0 ); // $ExpectError
-	cosqi( 8, workspace, false, 0 ); // $ExpectError
-	cosqi( 8, workspace, null, 0 ); // $ExpectError
-	cosqi( 8, workspace, void 0, 0 ); // $ExpectError
-	cosqi( 8, workspace, [], 0 ); // $ExpectError
-	cosqi( 8, workspace, {}, 0 ); // $ExpectError
-	cosqi( 8, workspace, ( x: number ): number => x, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fourth argument which is not a number...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	cosqi( 8, workspace, 1, '0' ); // $ExpectError
-	cosqi( 8, workspace, 1, true ); // $ExpectError
-	cosqi( 8, workspace, 1, false ); // $ExpectError
-	cosqi( 8, workspace, 1, null ); // $ExpectError
-	cosqi( 8, workspace, 1, void 0 ); // $ExpectError
-	cosqi( 8, workspace, 1, [] ); // $ExpectError
-	cosqi( 8, workspace, 1, {} ); // $ExpectError
-	cosqi( 8, workspace, 1, ( x: number ): number => x ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an unsupported number of arguments...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	cosqi(); // $ExpectError
-	cosqi( 8 ); // $ExpectError
-	cosqi( 8, workspace ); // $ExpectError
-	cosqi( 8, workspace, 1 ); // $ExpectError
-	cosqi( 8, workspace, 1, 0, 123 ); // $ExpectError
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/examples/index.js
deleted file mode 100644
index 76a231803135..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/examples/index.js
+++ /dev/null
@@ -1,45 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var cosqi = require( './../lib' );
-
-var N = 8;
-var workspace = new Float64Array( ( 3*N ) + 34 );
-
-cosqi( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Cosine table:' );
-var idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
-
-console.log( 'Twiddle factors:' );
-idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 2*N, 3*N ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (3*N)+1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( (3*N)+2, (3*N)+2+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/index.js
deleted file mode 100644
index a0b5ef720735..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/index.js
+++ /dev/null
@@ -1,56 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-/**
-* Initialize a workspace array for performing a quarter-wave cosine transform.
-*
-* @module @stdlib/fft/base/fftpack/cosqi
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var cosqi = require( '@stdlib/fft/base/fftpack/cosqi' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 3*N ) + 34 );
-*
-* var out = cosqi( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var cosineTable = workspace.slice( 0, N );
-* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-*
-* var twiddleFactors = workspace.slice( 2*N, 3*N );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-
-// MODULES //
-
-var main = require( './main.js' );
-
-
-// EXPORTS //
-
-module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/main.js
deleted file mode 100644
index 8279fd9e3ef6..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/lib/main.js
+++ /dev/null
@@ -1,191 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var cos = require( '@stdlib/math/base/special/cos' );
-var HALF_PI = require( '@stdlib/constants/float64/half-pi' );
-var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-
-
-// MAIN //
-
-/**
-* Initializes a workspace array for performing a quarter-wave cosine transform.
-*
-* ## Notes
-*
-* The workspace array is divided into four sections:
-*
-* ```text
-*          size = N             N                 N           2+ceil(log2(N)/2)
-*             ↓                 ↓                 ↓                  ↓
-*     | cosine table | scratch/workspace | twiddle factors | radix factor table |
-*             ↑                 ↑                 ↑                  ↑
-* i = 0      ...     N         ...       2N      ...       3N       ...
-* ```
-*
-* where
-*
-* -   **cosine table**: a table of precomputed cosine coefficients used by quarter-wave cosine transforms.
-* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-* -   **radix factor table**: a table containing the radix factorization of `N`.
-*
-* In general, a workspace array should have `3N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N` are updated.
-*
-* > Note: FFTPACK only requires `3N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
-*
-* The factorization section is comprised as follows:
-*
-* ```text
-* | sequence_length | number_of_factors | integer_factors |
-* ```
-*
-* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
-*
-* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
-*
-* ```tex
-* W_N^k
-* ```
-*
-* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
-*
-* ```tex
-* W_N^k = e^{-2\pi ik/N}
-* ```
-*
-* In a backward FFT,
-*
-* ```tex
-* W_N^k = e^{+2\pi ik/N}
-* ```
-*
-* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform (e.g., `cosqf`) multiplying with `(cos,-sin)` and those performing a backward transform (e.g., `cosqb`) multiplying with `(cos,+sin)`.
-*
-* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
-*
-* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
-*
-* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
-*
-* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
-*
-* During initialization, `cosqi` first writes the cosine table, and then initializes the remaining three sections using `rffti`.
-*
-* @param {PositiveInteger} N - length of the sequence to transform
-* @param {Collection} workspace - workspace array
-* @param {integer} strideW - stride length for `workspace`
-* @param {NonNegativeInteger} offsetW - starting index for `workspace`
-* @returns {Collection} workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 3*N ) + 34 );
-*
-* var out = cosqi( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var cosineTable = workspace.slice( 0, N );
-* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-*
-* var twiddleFactors = workspace.slice( 2*N, 3*N );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-function cosqi( N, workspace, strideW, offsetW ) {
-	var offsetR;
-	var dt;
-	var iw;
-	var fk;
-	var i;
-
-	// Compute the angular increment:
-	dt = HALF_PI / N;
-
-	// Compute and store the cosine table:
-	fk = 0.0;
-	iw = offsetW;
-	for ( i = 0; i < N; i++ ) {
-		fk += 1.0;
-		workspace[ iw ] = cos( fk*dt );
-		iw += strideW;
-	}
-	// Resolve the starting index for the `rffti` workspace:
-	offsetR = offsetW + ( N*strideW );
-
-	// Initialize the real FFT workspace:
-	rffti( N, workspace, strideW, offsetR );
-
-	return workspace;
-}
-
-
-// EXPORTS //
-
-module.exports = cosqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/package.json
deleted file mode 100644
index 12c14ed3e144..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/package.json
+++ /dev/null
@@ -1,64 +0,0 @@
-{
-  "name": "@stdlib/fft/base/fftpack/cosqi",
-  "version": "0.0.0",
-  "description": "Initialize a workspace array for performing a quarter-wave cosine transform.",
-  "license": "Apache-2.0",
-  "author": {
-    "name": "The Stdlib Authors",
-    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-  },
-  "contributors": [
-    {
-      "name": "The Stdlib Authors",
-      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-    }
-  ],
-  "main": "./lib",
-  "directories": {
-    "benchmark": "./benchmark",
-    "doc": "./docs",
-    "example": "./examples",
-    "lib": "./lib",
-    "test": "./test"
-  },
-  "types": "./docs/types",
-  "scripts": {},
-  "homepage": "https://github.com/stdlib-js/stdlib",
-  "repository": {
-    "type": "git",
-    "url": "git://github.com/stdlib-js/stdlib.git"
-  },
-  "bugs": {
-    "url": "https://github.com/stdlib-js/stdlib/issues"
-  },
-  "dependencies": {},
-  "devDependencies": {},
-  "engines": {
-    "node": ">=0.10.0",
-    "npm": ">2.7.0"
-  },
-  "os": [
-    "aix",
-    "darwin",
-    "freebsd",
-    "linux",
-    "macos",
-    "openbsd",
-    "sunos",
-    "win32",
-    "windows"
-  ],
-  "keywords": [
-    "stdlib",
-    "fft",
-    "fftpack",
-    "cosqi",
-    "fourier",
-    "transform",
-    "twiddle",
-    "workspace",
-    "initialization",
-    "cosine"
-  ],
-  "__stdlib__": {}
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/Makefile
deleted file mode 100644
index 7ce16281940d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/Makefile
+++ /dev/null
@@ -1,137 +0,0 @@
-#/
-# @license Apache-2.0
-#
-# Copyright (c) 2026 The Stdlib Authors.
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#    http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-#/
-
-# VARIABLES #
-
-ifndef VERBOSE
-	QUIET := @
-endif
-
-# Specify the path to FFTPACK:
-FFTPACK ?=
-
-# Specify a list of FFTPACK source files:
-FFTPACK_SRC ?=
-
-# Determine the OS:
-#
-# [1]: https://en.wikipedia.org/wiki/Uname#Examples
-# [2]: http://stackoverflow.com/a/27776822/2225624
-OS ?= $(shell uname)
-ifneq (, $(findstring MINGW,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring MSYS,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring CYGWIN,$(OS)))
-	OS := WINNT
-endif
-endif
-endif
-
-# Define the program used for compiling C source files:
-ifdef C_COMPILER
-	CC := $(C_COMPILER)
-else
-	CC := gcc
-endif
-
-# Define the command-line options when compiling C files:
-CFLAGS ?= \
-	-std=c99 \
-	-O3 \
-	-Wall \
-	-pedantic
-
-# Determine whether to generate [position independent code][1]:
-#
-# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
-# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
-ifeq ($(OS), WINNT)
-	fPIC ?=
-else
-	fPIC ?= -fPIC
-endif
-
-# List of C targets:
-c_targets := runner.out
-
-
-# RULES #
-
-#/
-# Compiles C source files.
-#
-# @param {string} [C_COMPILER] - C compiler
-# @param {string} [CFLAGS] - C compiler flags
-# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
-#
-# @example
-# make
-#
-# @example
-# make all
-#/
-all: $(c_targets)
-
-.PHONY: all
-
-#/
-# Compiles C source files.
-#
-# @private
-# @param {string} CC - C compiler
-# @param {string} CFLAGS - C compiler flags
-# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
-#/
-$(c_targets): %.out: %.c
-	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
-
-#/
-# Generates test fixtures.
-#
-# @example
-# make run
-#/
-run: $(c_targets)
-	$(QUIET) ./$<
-
-.PHONY: run
-
-#/
-# Removes generated files.
-#
-# @example
-# make clean
-#/
-clean:
-	$(QUIET) -rm -f *.o *.out
-
-.PHONY: clean
-
-#/
-# Removes generated test fixtures.
-#
-# @example
-# make clean-fixtures
-#/
-clean-fixtures:
-	$(QUIET) -rm -f *.json
-
-.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/large.json
deleted file mode 100644
index 59059ed184c3..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/large.json
+++ /dev/null
@@ -1 +0,0 @@
-{"lengths":[443,995,298,775,633,782,785,699,495,175],"offsets":[0,443,1438,1736,2511,3144,3926,4711,5410,5905],"cosines":[0.99999371360232381,0.99997485448833301,0.99994342289513916,0.99989941921792547,0.99984284400994106,0.99977369798249438,0.99969198200494447,0.99959769710468938,0.99949084446715397,0.99937142543577462,0.99923944151198241,0.99909489435518395,0.99893778578274139,0.99876811776994834,0.99858589245000628,0.99839111211399678,0.99818377921085311,0.99796389634732929,0.99773146628796783,0.99748649195506423,0.99722897642863051,0.9969589229463568,0.99667633490357022,0.9963812158531925,0.99607356950569492,0.99575339972905208,0.99542071054869308,0.99507550614745099,0.99471779086550993,0.99434756920035117,0.99396484580669564,0.99356962549644645,0.99316191323862768,0.99274171415932211,0.9923090335416066,0.99186387682548616,0.99140624960782509,0.99093615764227672,0.99045360683921113,0.98995860326564078,0.98945115314514431,0.98893126285778832,0.98839893894004682,0.9878541880847197,0.98729701714084772,0.98672743311362743,0.98614544316432207,0.98555105461017223,0.98494427492430348,0.98432511173563275,0.98369357282877201,0.98304966614393074,0.98239339977681583,0.98172478197853019,0.9810438211554684,0.98035052586921156,0.97964490483641942,0.97892696692872094,0.97819672117260237,0.97745417674929413,0.97669934299465544,0.97593222939905666,0.97515284560725979,0.97436120141829796,0.97355730678535146,0.97274117181562292,0.97191280677021052,0.97107222206397825,0.97021942826542573,0.96935443609655469,0.96847725643273486,0.96758790030256658,0.96668637888774234,0.96577270352290656,0.96484688569551247,0.96390893704567826,0.96295886936604036,0.9619966946016052,0.96102242484959921,0.96003607235931665,0.95903764953196557,0.95802716892051165,0.95700464322952095,0.95597008531499983,0.95492350818423311,0.95386492499562081,0.95279434905851279,0.95171179383304128,0.95061727292995157,0.94951080011043099,0.94839238928593572,0.94726205451801626,0.94611981001814038,0.94496567014751442,0.94379964941690275,0.94262176248644536,0.94143202416547367,0.94023044941232403,0.93901705333414986,0.93779185118673181,0.93655485837428576,0.93530609044926916,0.93404556311218567,0.93277329221138727,0.93148929374287592,0.93019358385010154,0.92888617882375935,0.92756709510158519,0.9262363492681488,0.92489395805464514,0.92353993833868442,0.92217430714407922,0.92079708164063112,0.91940827914391454,0.91800791711505914,0.91659601316053008,0.91517258503190679,0.91373765062565981,0.91229122798292595,0.91083333528928079,0.90936399087451114,0.90788321321238341,0.90639102092041213,0.90488743275962569,0.90337246763433032,0.90184614459187251,0.90030848282239939,0.89875950165861784,0.89719922057555113,0.89562765919029375,0.89404483726176553,0.89245077469046263,0.89084549151820758,0.88922900792789705,0.88760134424324866,0.88596252092854455,0.8843125585883751,0.88265147796737908,0.88097929994998303,0.87929604556013918,0.8776017359610605,0.87589639245495465,0.87418003648275666,0.87245268962385891,0.87071437359583992,0.86896511025419143,0.86720492159204343,0.86543382973988781,0.86365185696529978,0.8618590256726586,0.86005535840286518,0.8582408778330588,0.85641560677633244,0.85457956818144554,0.8527327851325357,0.85087528084882813,0.84900707868434422,0.84712820212760731,0.84523867480134784,0.84333852046220625,0.84142776300043431,0.83950642643959428,0.83757453493625778,0.83563211277970117,0.83367918439160082,0.83171577432572552,0.82974190726762853,0.82775760803433607,0.82576290157403653,0.82375781296576611,0.82174236741909323,0.8197165902738025,0.81768050699957551,0.8156341431956704,0.8135775245906004,0.81151067704181068,0.80943362653535222,0.80734639918555606,0.80524902123470465,0.80314151905270148,0.80102391913674031,0.7988962481109716,0.79675853272616759,0.79461079985938654,0.79245307651363406,0.79028538981752428,0.78810776702493845,0.78592023551468226,0.7837228227901416,0.78151555647893722,0.77929846433257655,0.7770715742261054,0.7748349141577574,0.77258851224860203,0.77033239674219045,0.76806659600420146,0.76579113852208403,0.76350605290469931,0.76121136788196109,0.75890711230447483,0.75659331514317396,0.75427000548895695,0.7519372125523206,0.749594965662993,0.74724329426956504,0.74488222793911996,0.74251179635686126,0.74013202932574029,0.73774295676608104,0.73534460871520368,0.73293701532704758,0.73052020687179176,0.72809421373547401,0.72565906641960987,0.72321479554080814,0.72076143183038621,0.71829900613398412,0.71582754941117621,0.7133470927350819,0.71085766729197553,0.70835930438089367,0.70585203541324193,0.70333589191239987,0.70081090551332503,0.69827710796215436,0.69573453111580608,0.69318320694157864,0.69062316751674868,0.68805444502816793,0.68547707177185857,0.68289108015260724,0.68029650268355712,0.67769337198579993,0.67508172078796524,0.67246158192580885,0.66983298834180072,0.66719597308471001,0.66455056930918965,0.66189681027536018,0.65923472934839089,0.65656435999808027,0.65388573579843579,0.65119889042725143,0.64850385766568397,0.64580067139782882,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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/medium.json
deleted file mode 100644
index 7825df644a03..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/medium.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/runner.c
deleted file mode 100644
index 9c78a33c7c15..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/runner.c
+++ /dev/null
@@ -1,304 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-/**
-* Generate FFTPACK test fixtures.
-*
-* ## Notes
-*
-* -   Run this script from the directory in which fixtures should be written.
-*
-*/
-
-#include <stdlib.h>
-#include <stdio.h>
-#include <time.h>
-
-/**
-* Define prototypes for external functions.
-*/
-extern void cosqi( int n, double *wsave );
-
-/**
-* Generates a random number on the interval [0,1].
-*
-* @return random number
-*/
-double rand_double( void ) {
-	int r = rand();
-	return (double)r / ( (double)RAND_MAX + 1.0 );
-}
-
-/**
-* Generates an array of pseudorandom integers drawn from a uniform distribution.
-*
-* ## Notes
-*
-* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
-*
-*
-* @param out  output array
-* @param len  array length
-* @param a    lower bound (inclusive)
-* @param b    upper bound (exclusive)
-*/
-void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
-	unsigned int i;
-	unsigned int r;
-	double delta;
-
-	delta = (double)b - (double)a;
-
-	for ( i = 0; i < len; i++ ) {
-		r = (unsigned int)( delta * rand_double() ); // truncation
-		out[ i ] = (int)( a + r );
-	}
-}
-
-/**
-* Writes an array of doubles to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of doubles
-* @param len  array length
-*/
-void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%.17g", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes an array of integers to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of integers
-* @param len  array length
-*/
-void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%d", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes a named array of doubles to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_f64( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes a named array of integers to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_i32( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes data to a file as JSON.
-*
-* ## Notes
-*
-* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
-*
-*
-* @param f          file to write to
-* @param lengths    sequence lengths
-* @param offsets    cosine and twiddle offsets
-* @param cosines    cosine values
-* @param twiddles   twiddle factors
-* @param num        number of sequence lengths
-* @param total      total number of cosine and twiddle values
-*/
-void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *cosines, const double *twiddles, const unsigned int num, const unsigned int total ) {
-	fprintf( f, "{" );
-	write_named_array_i32( f, "lengths", lengths, num );
-	fprintf( f, "," );
-	write_named_array_i32( f, "offsets", offsets, num );
-	fprintf( f, "," );
-	write_named_array_f64( f, "cosines", cosines, total );
-	fprintf( f, "," );
-	write_named_array_f64( f, "twiddles", twiddles, total );
-	fprintf( f, "}\n" );
-}
-
-/**
-* Generates test fixtures.
-*
-* @param lengths  sequence lengths
-* @param offsets  cosine and twiddle offsets into flat output array
-* @param num      number of sequence lengths
-* @param total    total number of cosine and twiddle values
-* @param name     output filename
-*/
-void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
-	unsigned int i;
-	unsigned int j;
-	double *cosines;
-	double *twiddles;
-	double *wsave;
-	FILE *f;
-	int off;
-	int n;
-
-	// Allocate an output array for cosine values:
-	cosines = (double*) malloc( total * sizeof(double) );
-	if ( cosines == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Allocate an output array for twiddle factors:
-	twiddles = (double*) malloc( total * sizeof(double) );
-	if ( twiddles == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	for ( i = 0; i < num; i++ ) {
-		n = lengths[ i ];
-		wsave = (double*) calloc( 3*n + 15, sizeof(double) );
-		if ( wsave == NULL ) {
-			printf( "Error allocating memory.\n" );
-			exit( 1 );
-		}
-		cosqi( n, wsave );
-
-		// Copy cosine region into flat array (N values starting at wsave[0]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)n; j++ ) {
-			cosines[ off + j ] = wsave[ j ];
-		}
-
-		// Copy twiddle region into flat array (N values starting at wsave[2*n]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)n; j++ ) {
-			twiddles[ off + j ] = wsave[ ( 2*n ) + j ];
-		}
-		free( wsave );
-	}
-	// Open a new file:
-	f = fopen( name, "w" );
-	if ( f == NULL ) {
-		printf( "Error opening file.\n" );
-		exit( 1 );
-	}
-
-	// Write data as JSON:
-	write_data_as_json( f, lengths, offsets, cosines, twiddles, num, total );
-
-	// Close the file:
-	fclose( f );
-
-	// Free allocated memory:
-	free( cosines );
-	free( twiddles );
-}
-
-/**
-* Computes offsets into flat cosine and twiddle arrays for each sequence length.
-*
-* @param offsets  output array of offsets
-* @param lengths  sequence lengths
-* @param num      number of sequence lengths
-* @return total number of cosine and twiddle values
-*/
-unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
-	unsigned int total;
-	unsigned int i;
-
-	total = 0;
-	for ( i = 0; i < num; i++ ) {
-		offsets[ i ] = total;
-		total += lengths[ i ];
-	}
-	return total;
-}
-
-/**
-* Main execution sequence.
-*/
-int main( void ) {
-	unsigned int total;
-	unsigned int num;
-	int *lengths;
-	int *offsets;
-
-	// Use the current time to seed the random number generator:
-	srand( time( NULL ) );
-
-	// Define the number of sequence lengths per range:
-	num = 10;
-
-	// Allocate arrays:
-	lengths = (int*) malloc( num * sizeof(int) );
-	if ( lengths == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-	offsets = (int*) malloc( num * sizeof(int) );
-	if ( offsets == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	rand_array_i32( lengths, num, 2, 16 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "small.json" );
-
-	rand_array_i32( lengths, num, 16, 128 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "medium.json" );
-
-	rand_array_i32( lengths, num, 128, 1024 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "large.json" );
-
-	// Free allocated memory:
-	free( lengths );
-	free( offsets );
-
-	return 0;
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/small.json
deleted file mode 100644
index 4e069a37b2ec..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/fixtures/c/fftpack/small.json
+++ /dev/null
@@ -1 +0,0 @@
-{"lengths":[15,2,13,8,15,5,4,6,13,6],"offsets":[0,15,17,30,38,53,58,62,68,81],"cosines":[0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17,0.70710678118654757,6.123233995736766e-17,0.99270887409805397,0.97094181742605201,0.93501624268541483,0.88545602565320991,0.82298386589365646,0.74851074817110119,0.6631226582407953,0.56806474673115581,0.46472317204376862,0.35460488704253579,0.23931566428755782,0.12053668025532323,6.123233995736766e-17,0.98078528040323043,0.92387953251128674,0.83146961230254524,0.70710678118654757,0.55557023301960229,0.38268343236508984,0.19509032201612833,6.123233995736766e-17,0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17,0.95105651629515353,0.80901699437494745,0.58778525229247314,0.30901699437494745,6.123233995736766e-17,0.92387953251128674,0.70710678118654757,0.38268343236508984,6.123233995736766e-17,0.96592582628906831,0.86602540378443871,0.70710678118654757,0.50000000000000011,0.25881904510252096,6.123233995736766e-17,0.99270887409805397,0.97094181742605201,0.93501624268541483,0.88545602565320991,0.82298386589365646,0.74851074817110119,0.6631226582407953,0.56806474673115581,0.46472317204376862,0.35460488704253579,0.23931566428755782,0.12053668025532323,6.123233995736766e-17,0.96592582628906831,0.86602540378443871,0.70710678118654757,0.50000000000000011,0.25881904510252096,6.123233995736766e-17],"twiddles":[0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.50000000000000011,0.8660254037844386,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.50000000000000011,0.8660254037844386,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/test.js
deleted file mode 100644
index ba823af6d8a1..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/cosqi/test/test.js
+++ /dev/null
@@ -1,314 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var tape = require( 'tape' );
-var Float64Array = require( '@stdlib/array/float64' );
-var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
-var cosqi = require( './../lib' );
-
-
-// FIXTURES //
-
-var small = require( './fixtures/c/fftpack/small.json' );
-var medium = require( './fixtures/c/fftpack/medium.json' );
-var large = require( './fixtures/c/fftpack/large.json' );
-
-
-// TESTS //
-
-tape( 'main export is a function', function test( t ) {
-	t.ok( true, __filename );
-	t.strictEqual( typeof cosqi, 'function', 'main export is a function' );
-	t.end();
-});
-
-tape( 'the function has an arity of 4', function test( t ) {
-	t.strictEqual( cosqi.length, 4, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function returns a reference to the workspace array', function test( t ) {
-	var workspace;
-	var out;
-	var N;
-
-	N = 8;
-	workspace = new Float64Array( ( 3*N ) + 34 );
-	out = cosqi( N, workspace, 1, 0 );
-
-	t.strictEqual( out, workspace, 'same reference' );
-	t.end();
-});
-
-tape( 'the function correctly initializes cosine values (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.cosines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		cosqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		cosqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ (2*N) + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes cosine values (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.cosines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		cosqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		cosqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ (2*N) + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes cosine values (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.cosines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		cosqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		cosqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ (2*N) + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
-	var workspace;
-	var N;
-	var i;
-
-	N = 8;
-	workspace = new Float64Array( ( 3*N ) + 34 );
-
-	for ( i = 0; i < workspace.length; i++ ) {
-		workspace[ i ] = i + 1.0;
-	}
-	cosqi( N, workspace, 1, 0 );
-	for ( i = N; i < 2*N; i++ ) {
-		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
-	}
-	t.end();
-});
-
-tape( 'the function correctly handles stride and offset parameters', function test( t ) {
-	var workspace;
-	var expected;
-	var stride;
-	var offset;
-	var nf;
-	var N;
-	var i;
-
-	N = 8;
-	stride = 2;
-	offset = 3;
-	workspace = new Float64Array( offset + ( ( ( 3*N ) + 34 ) * stride ) );
-
-	cosqi( N, workspace, stride, offset );
-
-	t.strictEqual( workspace[ offset + ( 3*N * stride ) ], N, 'returns expected value' );
-
-	nf = workspace[ offset + ( ( ( 3*N ) + 1 ) * stride ) ];
-	t.strictEqual( nf, 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( ( 3*N ) + 2 ) * stride ) ], 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( ( 3*N ) + 3 ) * stride ) ], 4, 'returns expected value' );
-
-	expected = new Float64Array( ( 3*N ) + 34 );
-	cosqi( N, expected, 1, 0 );
-
-	for ( i = 0; i < N; i++ ) {
-		t.strictEqual( workspace[ offset + ( ( (2*N)+i ) * stride ) ], expected[ (2*N)+i ], 'returns expected value' );
-	}
-	t.end();
-});

From 3d9113b9136e2b4a1a32dcc731fcc0cf302c7dd6 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:34:34 +0530
Subject: [PATCH 17/32] feat: add `fft/base/fftpack/generic/costi`

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: passed
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/generic/costi/README.md  | 173 ++++++++++
 .../generic/costi/benchmark/benchmark.js      | 101 ++++++
 .../base/fftpack/generic/costi/docs/repl.txt  |  60 ++++
 .../generic/costi/docs/types/index.d.ts       |  64 ++++
 .../fftpack/generic/costi/docs/types/test.ts  |  94 ++++++
 .../fftpack/generic/costi/examples/index.js   |  45 +++
 .../base/fftpack/generic/costi/lib/index.js   |  56 ++++
 .../base/fftpack/generic/costi/lib/main.js    | 210 ++++++++++++
 .../base/fftpack/generic/costi/package.json   |  64 ++++
 .../costi/test/fixtures/c/fftpack/Makefile    | 137 ++++++++
 .../costi/test/fixtures/c/fftpack/large.json  |   1 +
 .../costi/test/fixtures/c/fftpack/medium.json |   1 +
 .../costi/test/fixtures/c/fftpack/runner.c    | 304 +++++++++++++++++
 .../costi/test/fixtures/c/fftpack/small.json  |   1 +
 .../base/fftpack/generic/costi/test/test.js   | 314 ++++++++++++++++++
 15 files changed, 1625 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/Makefile
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/large.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/medium.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/runner.c
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/small.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/README.md
new file mode 100644
index 000000000000..d21aadfbab74
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/README.md
@@ -0,0 +1,173 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# costi
+
+> Initialize a workspace array for performing a cosine transform.
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var costi = require( '@stdlib/fft/base/fftpack/generic/costi' );
+```
+
+#### costi( N, workspace, strideW, offsetW )
+
+Initializes a workspace array for performing a cosine transform.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var N = 9;
+var workspace = new Float64Array( ( 3*N ) + 34 );
+
+var out = costi( N, workspace, 1, 0 );
+// returns <Float64Array>
+
+var bool = ( out === workspace );
+// returns true
+
+var cosineTable = workspace.slice( 0, N );
+// returns <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
+
+var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 );
+// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+
+var factors = workspace.slice( (3*N)-2, (3*N)+2 );
+// returns <Float64Array>[ 8, 2, 2, 4 ]
+```
+
+The function accepts the following arguments:
+
+-   **N**: length of the sequence to transform.
+-   **workspace**: workspace array.
+-   **strideW**: stride length for `workspace`.
+-   **offsetW**: starting index for `workspace`.
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   The workspace array is divided into four sections:
+
+    ```text
+               size = N                N-1                 N-1          2+ceil(log2(N-1)/2)
+                   ↓                    ↓                   ↓                  ↓
+        | sine / cosine table | scratch / workspace | twiddle factors | radix factor table |
+                   ↑                    ↑                   ↑                  ↑
+    i = 0         ...         N        ...         2N-1    ...       3N-2     ...
+    ```
+
+    -   **sine/cosine table**: a table of precomputed sine/cosine coefficients used by cosine transforms.
+    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+    -   **radix factor table**: a table containing the sequence length `N-1`, the number of factors into which `N-1` was decomposed, and the individual integer radix factors.
+
+-   In general, a workspace array should have `3N + 34` indexed elements (as `log2(N-1)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N-1` are updated.
+
+-   The radix factor table is comprised as follows:
+
+    ```text
+    | sequence_length | number_of_factors | integer_factors |
+    ```
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var costi = require( '@stdlib/fft/base/fftpack/generic/costi' );
+
+var N = 9;
+var workspace = new Float64Array( ( 3*N ) + 34 );
+
+costi( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Sine/Cosine table:' );
+var idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
+
+console.log( 'Twiddle factors:' );
+idx = zeroTo( N-1, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( (2*N)-1, (3*N)-2 ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (3*N)-1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( 3*N, (3*N)+nf ) );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/benchmark/benchmark.js
new file mode 100644
index 000000000000..10d37c7de95a
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/benchmark/benchmark.js
@@ -0,0 +1,101 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var Float64Array = require( '@stdlib/array/float64' );
+var pkg = require( './../package.json' ).name;
+var costi = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var workspace = new Float64Array( ( 3*N ) + 34 );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			costi( N, workspace, 1, 0 );
+			if ( isnan( workspace[ (2*N)-1 ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( workspace[ (2*N)-1 ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		9,
+		17,
+		33,
+		65,
+		129,
+		257,
+		513,
+		1025
+	];
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( N );
+		bench( format( '%s:N=%d', pkg, N ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/repl.txt
new file mode 100644
index 000000000000..65db9bb0b311
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/repl.txt
@@ -0,0 +1,60 @@
+
+{{alias}}( N, workspace, strideW, offsetW )
+    Initializes a workspace array for performing a cosine transform.
+
+    The workspace array is divided into four sections:
+
+    1. sine/cosine table: the section ranges from indices 0 to N-1 and is used
+    to store a table of precomputed sine and cosine coefficients used by cosine
+    transforms.
+
+    2. scratch/workspace: the section ranges from indices N to 2N-2 and is used
+    while performing transforms. This section is not updated during
+    initialization.
+
+    3. twiddle factors: the section ranges from indices 2N-1 to 3N-3 and stores
+    a table of reusable complex exponential constants as cosine/sine pairs.
+
+    4. radix factor table: the section starts at index 3N-2 and stores the
+    sequence length N-1, the number of factors into which N-1 was decomposed,
+    and the individual integer radix factors.
+
+    Any remaining array space remains as unused storage.
+
+    Parameters
+    ----------
+    N: integer
+        Length of the sequence.
+
+    workspace: ArrayLikeObject<number>
+        Workspace array.
+
+    strideW: integer
+        Stride length for `workspace`.
+
+    offsetW: integer
+        Starting index for `workspace`.
+
+    Returns
+    -------
+    out: ArrayLikeObject<number>
+        Workspace array.
+
+    Examples
+    --------
+    > var N = 9;
+    > var workspace = new {{alias:@stdlib/array/float64}}( ( 3*N ) + 34 );
+    > var out = {{alias}}( N, workspace, 1, 0 )
+    <Float64Array>
+    > var bool = ( out === workspace )
+    true
+    > var cosineTable = workspace.slice( 0, N )
+    <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
+    > var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 )
+    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+    > var factors = workspace.slice( (3*N)-2, (3*N)+2 )
+    <Float64Array>[ 8, 2, 2, 4 ]
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/types/index.d.ts
new file mode 100644
index 000000000000..c07e61126440
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/types/index.d.ts
@@ -0,0 +1,64 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Initializes a workspace array for performing a cosine transform.
+*
+* ## Notes
+*
+* -   The workspace array should have a length of at least `( 3*N ) + 34` elements.
+*
+* @param N - length of the sequence
+* @param workspace - workspace array
+* @param strideW - stride length for `workspace`
+* @param offsetW - starting index for `workspace`
+* @returns workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 9;
+* var workspace = new Float64Array( ( 3*N ) + 34 );
+*
+* var out = costi( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var cosineTable = workspace.slice( 0, N );
+* // returns <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
+*
+* var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( (3*N)-2, (3*N)+2 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+declare function costi<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
+
+
+// EXPORTS //
+
+export = costi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/types/test.ts
new file mode 100644
index 000000000000..519ce5795600
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/docs/types/test.ts
@@ -0,0 +1,94 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import costi = require( './index' );
+
+
+// TESTS //
+
+// The function returns a collection...
+{
+	const workspace = new Float64Array( ( 3*9 ) + 34 );
+
+	costi( 9, workspace, 1, 0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+	const workspace = new Float64Array( ( 3*9 ) + 34 );
+
+	costi( '9', workspace, 1, 0 ); // $ExpectError
+	costi( true, workspace, 1, 0 ); // $ExpectError
+	costi( false, workspace, 1, 0 ); // $ExpectError
+	costi( null, workspace, 1, 0 ); // $ExpectError
+	costi( void 0, workspace, 1, 0 ); // $ExpectError
+	costi( [], workspace, 1, 0 ); // $ExpectError
+	costi( {}, workspace, 1, 0 ); // $ExpectError
+	costi( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a collection...
+{
+	costi( 9, '50', 1, 0 ); // $ExpectError
+	costi( 9, 50, 1, 0 ); // $ExpectError
+	costi( 9, true, 1, 0 ); // $ExpectError
+	costi( 9, false, 1, 0 ); // $ExpectError
+	costi( 9, null, 1, 0 ); // $ExpectError
+	costi( 9, void 0, 1, 0 ); // $ExpectError
+	costi( 9, {}, 1, 0 ); // $ExpectError
+	costi( 9, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+	const workspace = new Float64Array( ( 3*9 ) + 34 );
+
+	costi( 9, workspace, '1', 0 ); // $ExpectError
+	costi( 9, workspace, true, 0 ); // $ExpectError
+	costi( 9, workspace, false, 0 ); // $ExpectError
+	costi( 9, workspace, null, 0 ); // $ExpectError
+	costi( 9, workspace, void 0, 0 ); // $ExpectError
+	costi( 9, workspace, [], 0 ); // $ExpectError
+	costi( 9, workspace, {}, 0 ); // $ExpectError
+	costi( 9, workspace, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+	const workspace = new Float64Array( ( 3*9 ) + 34 );
+
+	costi( 9, workspace, 1, '0' ); // $ExpectError
+	costi( 9, workspace, 1, true ); // $ExpectError
+	costi( 9, workspace, 1, false ); // $ExpectError
+	costi( 9, workspace, 1, null ); // $ExpectError
+	costi( 9, workspace, 1, void 0 ); // $ExpectError
+	costi( 9, workspace, 1, [] ); // $ExpectError
+	costi( 9, workspace, 1, {} ); // $ExpectError
+	costi( 9, workspace, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const workspace = new Float64Array( ( 3*9 ) + 34 );
+
+	costi(); // $ExpectError
+	costi( 9 ); // $ExpectError
+	costi( 9, workspace ); // $ExpectError
+	costi( 9, workspace, 1 ); // $ExpectError
+	costi( 9, workspace, 1, 0, 123 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/examples/index.js
new file mode 100644
index 000000000000..355a9b5e8e24
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/examples/index.js
@@ -0,0 +1,45 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var costi = require( './../lib' );
+
+var N = 9;
+var workspace = new Float64Array( ( 3*N ) + 34 );
+
+costi( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Sine/Cosine table:' );
+var idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
+
+console.log( 'Twiddle factors:' );
+idx = zeroTo( N-1, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( (2*N)-1, (3*N)-2 ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (3*N)-1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( 3*N, (3*N)+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/lib/index.js
new file mode 100644
index 000000000000..74fd9894ba14
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/lib/index.js
@@ -0,0 +1,56 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Initialize a workspace array for performing a cosine transform.
+*
+* @module @stdlib/fft/base/fftpack/generic/costi
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var costi = require( '@stdlib/fft/base/fftpack/generic/costi' );
+*
+* var N = 9;
+* var workspace = new Float64Array( ( 3*N ) + 34 );
+*
+* var out = costi( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var cosineTable = workspace.slice( 0, N );
+* // returns <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
+*
+* var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( (3*N)-2, (3*N)+2 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/lib/main.js
new file mode 100644
index 000000000000..be4d132bd82d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/lib/main.js
@@ -0,0 +1,210 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
+var PI = require( '@stdlib/constants/float64/pi' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+
+
+// VARIABLES //
+
+// Reusable buffer for storing computed sine and cosine values:
+var SINCOS_WORKSPACE = [ 0.0, 0.0 ];
+
+
+// MAIN //
+
+/**
+* Initializes a workspace array for performing a cosine transform.
+*
+* ## Notes
+*
+* The workspace array is divided into four sections:
+*
+* ```text
+*          size = N                 N-1              N-1          2+ceil(log2(N-1)/2)
+*               ↓                    ↓                ↓                   ↓
+*     | sine/cosine table | scratch/workspace | twiddle factors | radix factor table |
+*               ↑                    ↑                ↑                   ↑
+* i = 0        ...        N         ...     2N-1     ...       3N-2      ...
+* ```
+*
+* where
+*
+* -   **sine/cosine table**: a table of precomputed sine/cosine coefficients used by cosine transforms.
+* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+* -   **radix factor table**: a table containing the radix factorization of `N-1`.
+*
+* In general, a workspace array should have `3N + 34` indexed elements (as `log2(N-1)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the sine/cosine coefficients, twiddle factors, and the factorization of `N-1` are updated.
+*
+* > Note: FFTPACK only requires `3N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
+*
+* The factorization section is comprised as follows:
+*
+* ```text
+* | sequence_length | number_of_factors | integer_factors |
+* ```
+*
+* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
+*
+* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
+*
+* ```tex
+* W_N^k
+* ```
+*
+* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
+*
+* ```tex
+* W_N^k = e^{-2\pi ik/N}
+* ```
+*
+* In a backward FFT,
+*
+* ```tex
+* W_N^k = e^{+2\pi ik/N}
+* ```
+*
+* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform multiplying with `(cos,-sin)` and those performing a backward transform multiplying with `(cos,+sin)`.
+*
+* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
+*
+* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
+*
+* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
+*
+* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
+*
+* During initialization, `costi` first writes the sine/cosine table, and then initializes the remaining three sections using `rffti`.
+*
+* @param {PositiveInteger} N - length of the sequence to transform
+* @param {Collection} workspace - workspace array
+* @param {integer} strideW - stride length for `workspace`
+* @param {NonNegativeInteger} offsetW - starting index for `workspace`
+* @returns {Collection} workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 9;
+* var workspace = new Float64Array( ( 3*N ) + 34 );
+*
+* var out = costi( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var cosineTable = workspace.slice( 0, N );
+* // returns <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
+*
+* var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( (3*N)-2, (3*N)+2 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+function costi( N, workspace, strideW, offsetW ) {
+	var offsetR;
+	var ns2;
+	var iwc;
+	var iws;
+	var dt;
+	var fk;
+	var i;
+
+	if ( N <= 3 ) {
+		return workspace;
+	}
+	// Compute the number of sine/cosine pairs to store:
+	ns2 = floor( N / 2 );
+
+	// Compute the angular increment:
+	dt = PI / ( N - 1 );
+
+	// Compute and store the sine/cosine table:
+	fk = 0.0;
+	iws = offsetW + strideW;
+	iwc = offsetW + ( (N-2)*strideW );
+	for ( i = 1; i < ns2; i++ ) {
+		fk += 1.0;
+		sincos( fk*dt, SINCOS_WORKSPACE, 1, 0 );
+		workspace[ iws ] = SINCOS_WORKSPACE[ 0 ] * 2.0;
+		workspace[ iwc ] = SINCOS_WORKSPACE[ 1 ] * 2.0;
+		iws += strideW;
+		iwc -= strideW;
+	}
+	// Resolve the starting index for the `rffti` workspace:
+	offsetR = offsetW + ( N*strideW );
+
+	// Initialize the real FFT workspace for a sequence of length N-1:
+	rffti( N-1, workspace, strideW, offsetR );
+
+	return workspace;
+}
+
+
+// EXPORTS //
+
+module.exports = costi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/package.json
new file mode 100644
index 000000000000..c678f48543ee
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/package.json
@@ -0,0 +1,64 @@
+{
+  "name": "@stdlib/fft/base/fftpack/generic/costi",
+  "version": "0.0.0",
+  "description": "Initialize a workspace array for performing a cosine transform.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "fft",
+    "fftpack",
+    "costi",
+    "fourier",
+    "transform",
+    "twiddle",
+    "workspace",
+    "initialization",
+    "cosine"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/Makefile
new file mode 100644
index 000000000000..7ce16281940d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/Makefile
@@ -0,0 +1,137 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+endif
+
+# Specify the path to FFTPACK:
+FFTPACK ?=
+
+# Specify a list of FFTPACK source files:
+FFTPACK_SRC ?=
+
+# Determine the OS:
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate [position independent code][1]:
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := runner.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler
+# @param {string} [CFLAGS] - C compiler flags
+# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
+
+#/
+# Generates test fixtures.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
+
+#/
+# Removes generated test fixtures.
+#
+# @example
+# make clean-fixtures
+#/
+clean-fixtures:
+	$(QUIET) -rm -f *.json
+
+.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/large.json
new file mode 100644
index 000000000000..3f6163310f81
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/large.json
@@ -0,0 +1 @@
+{"lengths":[1013,288,184,392,695,183,883,334,217,968],"offsets":[0,1013,1301,1485,1877,2572,2755,3638,3972,4189],"cosines":[0,0.0062086711614768577,0.012417282490470189,0.018625774155073067,0.024834086324531757,0.031042159169822312,0.037249932864227141,0.043457347583911517,0.049664343508500158,0.05587086082165367,0.062076839711644981,0.068282220371935792,0.074486943001752862,0.080690947806664359,0.086894174999156096,0.09309656479920761,0.099298057434868414,0.10549859314283386,0.11169811216902115,0.11789655476914518,0.12409386120929426,0.13028997176650584,0.13648482672934195,0.14267836639846468,0.14887053108721154,0.15506126112217056,0.16125049684375553,0.16743817860678073,0.17362424678103583,0.17980864175186054,0.18599130392071908,0.19217217370577463,0.19835119154246333,0.20452829788406846,0.21070343320229423,0.2168765379878394,0.22304755275097091,0.229216418022097,0.23538307435234043,0.24154746231411134,0.24770952250167996,0.25386919553174919,0.26002642204402659,0.26618114270179682,0.27233329819249319,0.27848282922826917,0.28462967654657029,0.29077378091070438,0.29691508311041331,0.30305352396244289,0.30918904431111377,0.31532158502889107,0.32145108701695446,0.32757749120576768,0.33370073855564758,0.3398207700573333,0.3459375267325549,0.35205094963460154,0.35816097984888995,0.36426755849353165,0.37037062671990084,0.37647012571320138,0.38256599669303332,0.38865818091395993,0.39474661966607316,0.40083125427555999,0.40691202610526755,0.41298887655526823,0.41906174706342458,0.42513057910595331,0.43119531419798979,0.43725589389415126,0.44331225978910005,0.44936435351810688,0.45541211675761267,0.46145549122579116,0.46749441868311031,0.47352884093289344,0.47955869982188032,0.48558393724078747,0.49160449512486815,0.49762031545447188,0.50363134025560385,0.50963751160048298,0.5156387716081009,0.52163506244477942,0.52762632632472761,0.53361250551059924,0.53959354231404855,0.54556937909628678,0.55153995826863733,0.55750522229309074,0.56346511368285934,0.56941957500293083,0.57536854887062228,0.58131197795613299,0.58724980498309676,0.59318197272913387,0.59910842402640296,0.60502910176215152,0.61094394887926629,0.61685290837682349,0.62275592331063745,0.62865293679381007,0.63454389199727901,0.64042873215036467,0.64630740054131797,0.65217984051786637,0.65804599548776044,0.66390580891931861,0.66975922434197221,0.67560618534681005,0.68144663558712104,0.68728051877893848,0.69310777870158125,0.69892835919819662,0.70474220417630073,0.71054925760831922,0.71634946353212781,0.72214276605159067,0.72792910933709987,0.73370843762611304,0.73948069522369031,0.74524582650303217,0.75100377590601464,0.75675448794372469,0.76249790719699584,0.76823397831694062,0.77396264602548592,0.77968385511590432,0.78539755045334647,0.79110367697537254,0.7968021796924829,0.80249300368864762,0.80817609412183655,0.81385139622454672,0.81951885530433111,0.82517841674432502,0.83083002600377276,0.83647362861855346,0.84210917020170528,0.84773659644395027,0.85335585311421691,0.85896688606016369,0.86456964120870039,0.87016406456650908,0.87575010222056493,0.88132770033865515,0.88689680516989844,0.89245736304526235,0.89800932037808112,0.90355262366457167,0.90908721948434879,0.9146130545009411,0.92013007546230419,0.92563822920133387,0.93113746263637898,0.93662772277175232,0.9421089566982418,0.94758111159362035,0.95304413472315463,0.95849797344011367,0.96394257518627535,0.96937788749243459,0.97480385797890678,0.98022043435603445,0.98562756442469013,0.99102519607677986,0.99641327729574514,1.0017917561570642,1.0071605808287523,1.0125196995718617,1.0178690607409797,1.0232086127847269,1.0285383042462533,1.0338580837637343,1.0391679000708671,1.0444677019973625,1.0497574384694393,1.0550370585103166,1.0603065112407049,1.0655657458792955,1.0708147117432514,1.0760533582486951,1.0812816349111951,1.086499491346254,1.0917068772697931,1.0969037424986374,1.1020900369509985,1.1072657106469583,1.11243071370895,1.1175849963622386,1.1227285089354013,1.1278612018608052,1.1329830256750857,1.1380939310196234,1.1431938686410186,1.1482827893915675,1.1533606442297342,1.158427384220625,1.1634829605364583,1.1685273244570367,1.1735604273702154,1.1785822207723708,1.183592656268869,1.1885916855745304,1.1935792605140965,1.1985553330226937,1.2035198551462964,1.208472779042189,1.2134140569794269,1.2183436413392974,1.2232614846157774,1.2281675394159919,1.23306175846067,1.2379440945846019,1.2428145007370919,1.2476729299824132,1.2525193355002588,1.2573536705861939,1.2621758886521055,1.266985943226651,1.271783787955707,1.2765693766028148,1.281342663049627,1.2861036012963516,1.2908521454621951,1.2955882497858049,1.30031186862571,1.3050229564607614,1.30972146789057,1.3144073576359447,1.3190805805393291,1.323741091565235,1.3283888458006787,1.3330237984556124,1.3376459048633556,1.3422551204810271,1.3468514008899721,1.3514347017961925,1.356004979030772,1.3605621885503023,1.365106286437308,1.3696372289006697,1.3741549722760453,1.3786594730262913,1.3831506877418829,1.3876285731413311,1.3920930860716012,1.396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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/medium.json
new file mode 100644
index 000000000000..defc24a0cdda
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/medium.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/runner.c
new file mode 100644
index 000000000000..92ab037366e8
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/runner.c
@@ -0,0 +1,304 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/**
+* Generate FFTPACK test fixtures.
+*
+* ## Notes
+*
+* -   Run this script from the directory in which fixtures should be written.
+*
+*/
+
+#include <stdlib.h>
+#include <stdio.h>
+#include <time.h>
+
+/**
+* Define prototypes for external functions.
+*/
+extern void costi( int n, double *wsave );
+
+/**
+* Generates a random number on the interval [0,1].
+*
+* @return random number
+*/
+double rand_double( void ) {
+	int r = rand();
+	return (double)r / ( (double)RAND_MAX + 1.0 );
+}
+
+/**
+* Generates an array of pseudorandom integers drawn from a uniform distribution.
+*
+* ## Notes
+*
+* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
+*
+*
+* @param out  output array
+* @param len  array length
+* @param a    lower bound (inclusive)
+* @param b    upper bound (exclusive)
+*/
+void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
+	unsigned int i;
+	unsigned int r;
+	double delta;
+
+	delta = (double)b - (double)a;
+
+	for ( i = 0; i < len; i++ ) {
+		r = (unsigned int)( delta * rand_double() ); // truncation
+		out[ i ] = (int)( a + r );
+	}
+}
+
+/**
+* Writes an array of doubles to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of doubles
+* @param len  array length
+*/
+void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%.17g", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes an array of integers to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of integers
+* @param len  array length
+*/
+void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%d", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes a named array of doubles to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_f64( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes a named array of integers to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_i32( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes data to a file as JSON.
+*
+* ## Notes
+*
+* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
+*
+*
+* @param f          file to write to
+* @param lengths    sequence lengths
+* @param offsets    cosine and twiddle offsets
+* @param cosines    cosine values
+* @param twiddles   twiddle factors
+* @param num        number of sequence lengths
+* @param total      total number of cosine and twiddle values
+*/
+void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *cosines, const double *twiddles, const unsigned int num, const unsigned int total ) {
+	fprintf( f, "{" );
+	write_named_array_i32( f, "lengths", lengths, num );
+	fprintf( f, "," );
+	write_named_array_i32( f, "offsets", offsets, num );
+	fprintf( f, "," );
+	write_named_array_f64( f, "cosines", cosines, total );
+	fprintf( f, "," );
+	write_named_array_f64( f, "twiddles", twiddles, total );
+	fprintf( f, "}\n" );
+}
+
+/**
+* Generates test fixtures.
+*
+* @param lengths  sequence lengths
+* @param offsets  cosine and twiddle offsets into flat output array
+* @param num      number of sequence lengths
+* @param total    total number of cosine and twiddle values
+* @param name     output filename
+*/
+void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
+	double *twiddles;
+	double *cosines;
+	unsigned int i;
+	unsigned int j;
+	double *wsave;
+	FILE *f;
+	int off;
+	int n;
+
+	// Allocate an output array for cosine values:
+	cosines = (double*) malloc( total * sizeof(double) );
+	if ( cosines == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Allocate an output array for twiddle factors:
+	twiddles = (double*) malloc( total * sizeof(double) );
+	if ( twiddles == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	for ( i = 0; i < num; i++ ) {
+		n = lengths[ i ];
+		wsave = (double*) calloc( 3*n + 15, sizeof(double) );
+		if ( wsave == NULL ) {
+			printf( "Error allocating memory.\n" );
+			exit( 1 );
+		}
+		costi( n, wsave );
+
+		// Copy cosine region into flat array (N values starting at wsave[0]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)n; j++ ) {
+			cosines[ off + j ] = wsave[ j ];
+		}
+
+		// Copy twiddle region into flat array (N-1 values starting at wsave[(2*n)-1]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)( n - 1 ); j++ ) {
+			twiddles[ off + j ] = wsave[ ( 2*n ) - 1 + j ];
+		}
+		free( wsave );
+	}
+	// Open a new file:
+	f = fopen( name, "w" );
+	if ( f == NULL ) {
+		printf( "Error opening file.\n" );
+		exit( 1 );
+	}
+
+	// Write data as JSON:
+	write_data_as_json( f, lengths, offsets, cosines, twiddles, num, total );
+
+	// Close the file:
+	fclose( f );
+
+	// Free allocated memory:
+	free( cosines );
+	free( twiddles );
+}
+
+/**
+* Computes offsets into flat cosine and twiddle arrays for each sequence length.
+*
+* @param offsets  output array of offsets
+* @param lengths  sequence lengths
+* @param num      number of sequence lengths
+* @return total number of cosine and twiddle values
+*/
+unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
+	unsigned int total;
+	unsigned int i;
+
+	total = 0;
+	for ( i = 0; i < num; i++ ) {
+		offsets[ i ] = total;
+		total += lengths[ i ];
+	}
+	return total;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	unsigned int total;
+	unsigned int num;
+	int *lengths;
+	int *offsets;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	// Define the number of sequence lengths per range:
+	num = 10;
+
+	// Allocate arrays:
+	lengths = (int*) malloc( num * sizeof(int) );
+	if ( lengths == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+	offsets = (int*) malloc( num * sizeof(int) );
+	if ( offsets == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	rand_array_i32( lengths, num, 2, 16 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "small.json" );
+
+	rand_array_i32( lengths, num, 16, 128 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "medium.json" );
+
+	rand_array_i32( lengths, num, 128, 1024 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "large.json" );
+
+	// Free allocated memory:
+	free( lengths );
+	free( offsets );
+
+	return 0;
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/small.json
new file mode 100644
index 000000000000..03372bfa74b5
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/fixtures/c/fftpack/small.json
@@ -0,0 +1 @@
+{"lengths":[9,2,8,7,12,11,2,4,10,12],"offsets":[0,9,11,19,26,38,49,51,55,65],"cosines":[0,0.76536686473017956,1.4142135623730949,1.8477590650225735,0,0.76536686473017967,1.4142135623730951,1.8477590650225735,0,0,0,0,0.86776747823511624,1.5636629649360596,1.9498558243636472,0.4450418679126289,1.2469796037174672,1.8019377358048383,0,0,0.99999999999999989,1.7320508075688772,0,1.0000000000000002,1.7320508075688774,0,0,0.56346511368285934,1.0812816349111951,1.5114991487085165,1.8192639907090367,1.9796428837618654,0.28462967654657023,0.83083002600377287,1.3097214678905702,1.6825070656623624,1.9189859472289947,0,0,0.61803398874989479,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0.6180339887498949,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0,0,0,1.7320508075688772,1.0000000000000002,0,0,0.68404028665133743,1.2855752193730785,1.7320508075688772,1.969615506024416,0.34729635533386083,1.0000000000000002,1.532088886237956,1.8793852415718169,0,0,0.56346511368285934,1.0812816349111951,1.5114991487085165,1.8192639907090367,1.9796428837618654,0.28462967654657023,0.83083002600377287,1.3097214678905702,1.6825070656623624,1.9189859472289947,0],"twiddles":[0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.50000000000000011,0.8660254037844386,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0,0,0,0,0,0,0,0.76604444311897801,0.64278760968653925,0,0.17364817766693041,0.98480775301220802,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/test.js
new file mode 100644
index 000000000000..0602234a1a93
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/costi/test/test.js
@@ -0,0 +1,314 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
+var costi = require( './../lib' );
+
+
+// FIXTURES //
+
+var small = require( './fixtures/c/fftpack/small.json' );
+var medium = require( './fixtures/c/fftpack/medium.json' );
+var large = require( './fixtures/c/fftpack/large.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof costi, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 4', function test( t ) {
+	t.strictEqual( costi.length, 4, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns a reference to the workspace array', function test( t ) {
+	var workspace;
+	var out;
+	var N;
+
+	N = 8;
+	workspace = new Float64Array( ( 3*N ) + 34 );
+	out = costi( N, workspace, 1, 0 );
+
+	t.strictEqual( out, workspace, 'same reference' );
+	t.end();
+});
+
+tape( 'the function correctly initializes sine and cosine values (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.cosines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		costi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		costi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N-1; i++ ) {
+			y = workspace[ (2*N) - 1 + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes sine and cosine values (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.cosines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		costi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		costi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N-1; i++ ) {
+			y = workspace[ (2*N) - 1 + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes sine and cosine values (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.cosines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		costi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		costi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N-1; i++ ) {
+			y = workspace[ (2*N) - 1 + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
+	var workspace;
+	var N;
+	var i;
+
+	N = 8;
+	workspace = new Float64Array( ( 3*N ) + 34 );
+
+	for ( i = 0; i < workspace.length; i++ ) {
+		workspace[ i ] = i + 1.0;
+	}
+	costi( N, workspace, 1, 0 );
+	for ( i = N; i < (2*N) - 1; i++ ) {
+		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'the function correctly handles stride and offset parameters', function test( t ) {
+	var workspace;
+	var expected;
+	var stride;
+	var offset;
+	var nf;
+	var N;
+	var i;
+
+	N = 9;
+	stride = 2;
+	offset = 3;
+	workspace = new Float64Array( offset + ( ( ( 3*N ) + 34 ) * stride ) );
+
+	costi( N, workspace, stride, offset );
+
+	t.strictEqual( workspace[ offset + ( ( (3*N)-2 ) * stride ) ], N-1, 'returns expected value' );
+
+	nf = workspace[ offset + ( ( (3*N)-1 ) * stride ) ];
+	t.strictEqual( nf, 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( 3*N ) * stride ) ], 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( (3*N)+1 ) * stride ) ], 4, 'returns expected value' );
+
+	expected = new Float64Array( ( 3*N ) + 34 );
+	costi( N, expected, 1, 0 );
+
+	for ( i = 0; i < N-1; i++ ) {
+		t.strictEqual( workspace[ offset + ( ( (2*N)-1+i ) * stride ) ], expected[ (2*N)-1+i ], 'returns expected value' );
+	}
+	t.end();
+});

From a583a8da858a2cc0d34fb6cf79dfb2e3f2c25890 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:35:05 +0530
Subject: [PATCH 18/32] remove: remove `costi` from namespace

This commit removes the `costi` symbol from the
`@stdlib/fft/base/fftpack` namespace due to a package migration.

BREAKING CHANGE: remove `costi`

To migrate, users should access the same symbol via the
`@stdlib/fft/base/fftpack/generic` namespace.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/docs/types/index.d.ts    | 37 -------------------
 .../@stdlib/fft/base/fftpack/lib/index.js     |  9 -----
 2 files changed, 46 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
index e8383235537e..b3f9a4ea9779 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
@@ -20,7 +20,6 @@
 
 /* eslint-disable max-lines */
 
-import costi = require( '@stdlib/fft/base/fftpack/costi' );
 import sinqi = require( '@stdlib/fft/base/fftpack/sinqi' );
 import sinti = require( '@stdlib/fft/base/fftpack/sinti' );
 
@@ -29,42 +28,6 @@ import sinti = require( '@stdlib/fft/base/fftpack/sinti' );
 */
 interface Namespace {
 
-	/**
-	* Initializes a workspace array for performing a cosine transform.
-	*
-	* ## Notes
-	*
-	* -   The workspace array should have a length of at least `( 3*N ) + 34` elements.
-	*
-	* @param N - length of the sequence
-	* @param workspace - workspace array
-	* @param strideW - stride length for `workspace`
-	* @param offsetW - starting index for `workspace`
-	* @returns workspace array
-	*
-	* @example
-	* var Float64Array = require( '@stdlib/array/float64' );
-	*
-	* var N = 9;
-	* var workspace = new Float64Array( ( 3*N ) + 34 );
-	*
-	* var out = ns.costi( N, workspace, 1, 0 );
-	* // returns <Float64Array>
-	*
-	* var bool = ( out === workspace );
-	* // returns true
-	*
-	* var cosineTable = workspace.slice( 0, N );
-	* // returns <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
-	*
-	* var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 );
-	* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-	*
-	* var factors = workspace.slice( (3*N)-2, (3*N)+2 );
-	* // returns <Float64Array>[ 8, 2, 2, 4 ]
-	*/
-	costi: typeof costi;
-
 	/**
 	* Initializes a workspace array for performing a quarter-wave sine transform.
 	*
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
index df0b23f24168..e640a109ce06 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
@@ -40,15 +40,6 @@ var setReadOnly = require( '@stdlib/utils/define-read-only-property' );
 */
 var ns = {};
 
-/**
-* @name costi
-* @memberof ns
-* @readonly
-* @type {Function}
-* @see {@link module:@stdlib/fft/base/fftpack/costi}
-*/
-setReadOnly( ns, 'costi', require( '@stdlib/fft/base/fftpack/costi' ) );
-
 /**
 * @name sinqi
 * @memberof ns

From d8ca805378d11280ff8f0855b45eb1cf1f1ec6c4 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:35:39 +0530
Subject: [PATCH 19/32] refactor: update paths

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 lib/node_modules/@stdlib/fft/base/fftpack/README.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
index 9b713e83cf58..9bceb813fec5 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/README.md
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
@@ -45,7 +45,7 @@ var o = ns;
 
 -   <span class="signature">[`cffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/cffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a complex-valued Fourier transform.</span>
 -   <span class="signature">[`cosqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/cosqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave cosine transform.</span>
--   <span class="signature">[`costi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/costi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a cosine transform.</span>
+-   <span class="signature">[`costi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/costi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a cosine transform.</span>
 -   <span class="signature">[`decompose( N, M, initial, si, oi, out, so, oo )`][@stdlib/fft/base/fftpack/decompose]</span><span class="delimiter">: </span><span class="description">factorize a sequence length into a product of integers.</span>
 -   <span class="signature">[`rffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/rffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a real-valued Fourier transform.</span>
 -   <span class="signature">[`sinqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/sinqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave sine transform.</span>
@@ -96,7 +96,7 @@ console.log( objectKeys( ns ) );
 
 [@stdlib/fft/base/fftpack/generic/cosqi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/cosqi
 
-[@stdlib/fft/base/fftpack/costi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/costi
+[@stdlib/fft/base/fftpack/generic/costi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/costi
 
 [@stdlib/fft/base/fftpack/decompose]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/decompose
 

From 0fff2ed5ed1c369bd2c42a683fee6d026aeb0fa5 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:35:47 +0530
Subject: [PATCH 20/32] remove: remove `fft/base/fftpack/costi`

This commit removes `@stdlib/fft/base/fftpack/costi` in favor of
`@stdlib/fft/base/fftpack/generic/costi`.

BREAKING CHANGE: remove `fft/base/fftpack/costi`

To migrate, users should update their require/import paths to use
`@stdlib/fft/base/fftpack/generic/costi` which provides the same API and implementation.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../@stdlib/fft/base/fftpack/costi/README.md  | 173 ----------
 .../base/fftpack/costi/benchmark/benchmark.js | 101 ------
 .../fft/base/fftpack/costi/docs/repl.txt      |  60 ----
 .../base/fftpack/costi/docs/types/index.d.ts  |  64 ----
 .../fft/base/fftpack/costi/docs/types/test.ts |  94 ------
 .../fft/base/fftpack/costi/examples/index.js  |  45 ---
 .../fft/base/fftpack/costi/lib/index.js       |  56 ----
 .../fft/base/fftpack/costi/lib/main.js        | 210 ------------
 .../fft/base/fftpack/costi/package.json       |  64 ----
 .../costi/test/fixtures/c/fftpack/Makefile    | 137 --------
 .../costi/test/fixtures/c/fftpack/large.json  |   1 -
 .../costi/test/fixtures/c/fftpack/medium.json |   1 -
 .../costi/test/fixtures/c/fftpack/runner.c    | 304 -----------------
 .../costi/test/fixtures/c/fftpack/small.json  |   1 -
 .../fft/base/fftpack/costi/test/test.js       | 314 ------------------
 15 files changed, 1625 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/README.md
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/benchmark/benchmark.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/repl.txt
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/types/index.d.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/types/test.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/examples/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/main.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/package.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/Makefile
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/large.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/medium.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/runner.c
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/small.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/costi/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/costi/README.md
deleted file mode 100644
index 66a10f8c654e..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/README.md
+++ /dev/null
@@ -1,173 +0,0 @@
-<!--
-
-@license Apache-2.0
-
-Copyright (c) 2026 The Stdlib Authors.
-
-Licensed under the Apache License, Version 2.0 (the "License");
-you may not use this file except in compliance with the License.
-You may obtain a copy of the License at
-
-   http://www.apache.org/licenses/LICENSE-2.0
-
-Unless required by applicable law or agreed to in writing, software
-distributed under the License is distributed on an "AS IS" BASIS,
-WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-See the License for the specific language governing permissions and
-limitations under the License.
-
--->
-
-# costi
-
-> Initialize a workspace array for performing a cosine transform.
-
-<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
-
-<section class="intro">
-
-</section>
-
-<!-- /.intro -->
-
-<!-- Package usage documentation. -->
-
-<section class="usage">
-
-## Usage
-
-```javascript
-var costi = require( '@stdlib/fft/base/fftpack/costi' );
-```
-
-#### costi( N, workspace, strideW, offsetW )
-
-Initializes a workspace array for performing a cosine transform.
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-
-var N = 9;
-var workspace = new Float64Array( ( 3*N ) + 34 );
-
-var out = costi( N, workspace, 1, 0 );
-// returns <Float64Array>
-
-var bool = ( out === workspace );
-// returns true
-
-var cosineTable = workspace.slice( 0, N );
-// returns <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
-
-var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 );
-// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-
-var factors = workspace.slice( (3*N)-2, (3*N)+2 );
-// returns <Float64Array>[ 8, 2, 2, 4 ]
-```
-
-The function accepts the following arguments:
-
--   **N**: length of the sequence to transform.
--   **workspace**: workspace array.
--   **strideW**: stride length for `workspace`.
--   **offsetW**: starting index for `workspace`.
-
-</section>
-
-<!-- /.usage -->
-
-<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="notes">
-
-## Notes
-
--   The workspace array is divided into four sections:
-
-    ```text
-               size = N                N-1                 N-1          2+ceil(log2(N-1)/2)
-                   ↓                    ↓                   ↓                  ↓
-        | sine / cosine table | scratch / workspace | twiddle factors | radix factor table |
-                   ↑                    ↑                   ↑                  ↑
-    i = 0         ...         N        ...         2N-1    ...       3N-2     ...
-    ```
-
-    -   **sine/cosine table**: a table of precomputed sine/cosine coefficients used by cosine transforms.
-    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-    -   **radix factor table**: a table containing the sequence length `N-1`, the number of factors into which `N-1` was decomposed, and the individual integer radix factors.
-
--   In general, a workspace array should have `3N + 34` indexed elements (as `log2(N-1)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N-1` are updated.
-
--   The radix factor table is comprised as follows:
-
-    ```text
-    | sequence_length | number_of_factors | integer_factors |
-    ```
-
-</section>
-
-<!-- /.notes -->
-
-<section class="examples">
-
-## Examples
-
-<!-- eslint no-undef: "error" -->
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var costi = require( '@stdlib/fft/base/fftpack/costi' );
-
-var N = 9;
-var workspace = new Float64Array( ( 3*N ) + 34 );
-
-costi( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Sine/Cosine table:' );
-var idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
-
-console.log( 'Twiddle factors:' );
-idx = zeroTo( N-1, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( (2*N)-1, (3*N)-2 ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (3*N)-1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( 3*N, (3*N)+nf ) );
-```
-
-</section>
-
-<!-- /.examples -->
-
-<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="references">
-
-</section>
-
-<!-- /.references -->
-
-<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
-
-<section class="related">
-
-</section>
-
-<!-- /.related -->
-
-<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="links">
-
-</section>
-
-<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/costi/benchmark/benchmark.js
deleted file mode 100644
index 10d37c7de95a..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/benchmark/benchmark.js
+++ /dev/null
@@ -1,101 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var bench = require( '@stdlib/bench' );
-var format = require( '@stdlib/string/format' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var Float64Array = require( '@stdlib/array/float64' );
-var pkg = require( './../package.json' ).name;
-var costi = require( './../lib' );
-
-
-// FUNCTIONS //
-
-/**
-* Creates a benchmark function.
-*
-* @private
-* @param {PositiveInteger} N - sequence length
-* @returns {Function} benchmark function
-*/
-function createBenchmark( N ) {
-	var workspace = new Float64Array( ( 3*N ) + 34 );
-	return benchmark;
-
-	/**
-	* Benchmark function.
-	*
-	* @private
-	* @param {Benchmark} b - benchmark instance
-	*/
-	function benchmark( b ) {
-		var i;
-
-		b.tic();
-		for ( i = 0; i < b.iterations; i++ ) {
-			costi( N, workspace, 1, 0 );
-			if ( isnan( workspace[ (2*N)-1 ] ) ) {
-				b.fail( 'should not return NaN' );
-			}
-		}
-		b.toc();
-		if ( isnan( workspace[ (2*N)-1 ] ) ) {
-			b.fail( 'should not return NaN' );
-		}
-		b.pass( 'benchmark finished' );
-		b.end();
-	}
-}
-
-
-// MAIN //
-
-/**
-* Main execution sequence.
-*
-* @private
-*/
-function main() {
-	var lengths;
-	var N;
-	var f;
-	var i;
-
-	lengths = [
-		9,
-		17,
-		33,
-		65,
-		129,
-		257,
-		513,
-		1025
-	];
-
-	for ( i = 0; i < lengths.length; i++ ) {
-		N = lengths[ i ];
-		f = createBenchmark( N );
-		bench( format( '%s:N=%d', pkg, N ), f );
-	}
-}
-
-main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/repl.txt
deleted file mode 100644
index 65db9bb0b311..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/repl.txt
+++ /dev/null
@@ -1,60 +0,0 @@
-
-{{alias}}( N, workspace, strideW, offsetW )
-    Initializes a workspace array for performing a cosine transform.
-
-    The workspace array is divided into four sections:
-
-    1. sine/cosine table: the section ranges from indices 0 to N-1 and is used
-    to store a table of precomputed sine and cosine coefficients used by cosine
-    transforms.
-
-    2. scratch/workspace: the section ranges from indices N to 2N-2 and is used
-    while performing transforms. This section is not updated during
-    initialization.
-
-    3. twiddle factors: the section ranges from indices 2N-1 to 3N-3 and stores
-    a table of reusable complex exponential constants as cosine/sine pairs.
-
-    4. radix factor table: the section starts at index 3N-2 and stores the
-    sequence length N-1, the number of factors into which N-1 was decomposed,
-    and the individual integer radix factors.
-
-    Any remaining array space remains as unused storage.
-
-    Parameters
-    ----------
-    N: integer
-        Length of the sequence.
-
-    workspace: ArrayLikeObject<number>
-        Workspace array.
-
-    strideW: integer
-        Stride length for `workspace`.
-
-    offsetW: integer
-        Starting index for `workspace`.
-
-    Returns
-    -------
-    out: ArrayLikeObject<number>
-        Workspace array.
-
-    Examples
-    --------
-    > var N = 9;
-    > var workspace = new {{alias:@stdlib/array/float64}}( ( 3*N ) + 34 );
-    > var out = {{alias}}( N, workspace, 1, 0 )
-    <Float64Array>
-    > var bool = ( out === workspace )
-    true
-    > var cosineTable = workspace.slice( 0, N )
-    <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
-    > var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 )
-    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-    > var factors = workspace.slice( (3*N)-2, (3*N)+2 )
-    <Float64Array>[ 8, 2, 2, 4 ]
-
-    See Also
-    --------
-
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/types/index.d.ts
deleted file mode 100644
index c07e61126440..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/types/index.d.ts
+++ /dev/null
@@ -1,64 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-// TypeScript Version: 4.1
-
-/// <reference types="@stdlib/types"/>
-
-import { Collection } from '@stdlib/types/array';
-
-/**
-* Initializes a workspace array for performing a cosine transform.
-*
-* ## Notes
-*
-* -   The workspace array should have a length of at least `( 3*N ) + 34` elements.
-*
-* @param N - length of the sequence
-* @param workspace - workspace array
-* @param strideW - stride length for `workspace`
-* @param offsetW - starting index for `workspace`
-* @returns workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 9;
-* var workspace = new Float64Array( ( 3*N ) + 34 );
-*
-* var out = costi( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var cosineTable = workspace.slice( 0, N );
-* // returns <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
-*
-* var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( (3*N)-2, (3*N)+2 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-declare function costi<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
-
-
-// EXPORTS //
-
-export = costi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/types/test.ts
deleted file mode 100644
index 519ce5795600..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/docs/types/test.ts
+++ /dev/null
@@ -1,94 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-import costi = require( './index' );
-
-
-// TESTS //
-
-// The function returns a collection...
-{
-	const workspace = new Float64Array( ( 3*9 ) + 34 );
-
-	costi( 9, workspace, 1, 0 ); // $ExpectType Float64Array
-}
-
-// The compiler throws an error if the function is provided a first argument which is not a number...
-{
-	const workspace = new Float64Array( ( 3*9 ) + 34 );
-
-	costi( '9', workspace, 1, 0 ); // $ExpectError
-	costi( true, workspace, 1, 0 ); // $ExpectError
-	costi( false, workspace, 1, 0 ); // $ExpectError
-	costi( null, workspace, 1, 0 ); // $ExpectError
-	costi( void 0, workspace, 1, 0 ); // $ExpectError
-	costi( [], workspace, 1, 0 ); // $ExpectError
-	costi( {}, workspace, 1, 0 ); // $ExpectError
-	costi( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a second argument which is not a collection...
-{
-	costi( 9, '50', 1, 0 ); // $ExpectError
-	costi( 9, 50, 1, 0 ); // $ExpectError
-	costi( 9, true, 1, 0 ); // $ExpectError
-	costi( 9, false, 1, 0 ); // $ExpectError
-	costi( 9, null, 1, 0 ); // $ExpectError
-	costi( 9, void 0, 1, 0 ); // $ExpectError
-	costi( 9, {}, 1, 0 ); // $ExpectError
-	costi( 9, ( x: number ): number => x, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a third argument which is not a number...
-{
-	const workspace = new Float64Array( ( 3*9 ) + 34 );
-
-	costi( 9, workspace, '1', 0 ); // $ExpectError
-	costi( 9, workspace, true, 0 ); // $ExpectError
-	costi( 9, workspace, false, 0 ); // $ExpectError
-	costi( 9, workspace, null, 0 ); // $ExpectError
-	costi( 9, workspace, void 0, 0 ); // $ExpectError
-	costi( 9, workspace, [], 0 ); // $ExpectError
-	costi( 9, workspace, {}, 0 ); // $ExpectError
-	costi( 9, workspace, ( x: number ): number => x, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fourth argument which is not a number...
-{
-	const workspace = new Float64Array( ( 3*9 ) + 34 );
-
-	costi( 9, workspace, 1, '0' ); // $ExpectError
-	costi( 9, workspace, 1, true ); // $ExpectError
-	costi( 9, workspace, 1, false ); // $ExpectError
-	costi( 9, workspace, 1, null ); // $ExpectError
-	costi( 9, workspace, 1, void 0 ); // $ExpectError
-	costi( 9, workspace, 1, [] ); // $ExpectError
-	costi( 9, workspace, 1, {} ); // $ExpectError
-	costi( 9, workspace, 1, ( x: number ): number => x ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an unsupported number of arguments...
-{
-	const workspace = new Float64Array( ( 3*9 ) + 34 );
-
-	costi(); // $ExpectError
-	costi( 9 ); // $ExpectError
-	costi( 9, workspace ); // $ExpectError
-	costi( 9, workspace, 1 ); // $ExpectError
-	costi( 9, workspace, 1, 0, 123 ); // $ExpectError
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/costi/examples/index.js
deleted file mode 100644
index 355a9b5e8e24..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/examples/index.js
+++ /dev/null
@@ -1,45 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var costi = require( './../lib' );
-
-var N = 9;
-var workspace = new Float64Array( ( 3*N ) + 34 );
-
-costi( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Sine/Cosine table:' );
-var idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
-
-console.log( 'Twiddle factors:' );
-idx = zeroTo( N-1, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( (2*N)-1, (3*N)-2 ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (3*N)-1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( 3*N, (3*N)+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/index.js
deleted file mode 100644
index 161842e74fa3..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/index.js
+++ /dev/null
@@ -1,56 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-/**
-* Initialize a workspace array for performing a cosine transform.
-*
-* @module @stdlib/fft/base/fftpack/costi
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var costi = require( '@stdlib/fft/base/fftpack/costi' );
-*
-* var N = 9;
-* var workspace = new Float64Array( ( 3*N ) + 34 );
-*
-* var out = costi( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var cosineTable = workspace.slice( 0, N );
-* // returns <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
-*
-* var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( (3*N)-2, (3*N)+2 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-
-// MODULES //
-
-var main = require( './main.js' );
-
-
-// EXPORTS //
-
-module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/main.js
deleted file mode 100644
index be4d132bd82d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/lib/main.js
+++ /dev/null
@@ -1,210 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
-var PI = require( '@stdlib/constants/float64/pi' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-
-
-// VARIABLES //
-
-// Reusable buffer for storing computed sine and cosine values:
-var SINCOS_WORKSPACE = [ 0.0, 0.0 ];
-
-
-// MAIN //
-
-/**
-* Initializes a workspace array for performing a cosine transform.
-*
-* ## Notes
-*
-* The workspace array is divided into four sections:
-*
-* ```text
-*          size = N                 N-1              N-1          2+ceil(log2(N-1)/2)
-*               ↓                    ↓                ↓                   ↓
-*     | sine/cosine table | scratch/workspace | twiddle factors | radix factor table |
-*               ↑                    ↑                ↑                   ↑
-* i = 0        ...        N         ...     2N-1     ...       3N-2      ...
-* ```
-*
-* where
-*
-* -   **sine/cosine table**: a table of precomputed sine/cosine coefficients used by cosine transforms.
-* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-* -   **radix factor table**: a table containing the radix factorization of `N-1`.
-*
-* In general, a workspace array should have `3N + 34` indexed elements (as `log2(N-1)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the sine/cosine coefficients, twiddle factors, and the factorization of `N-1` are updated.
-*
-* > Note: FFTPACK only requires `3N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
-*
-* The factorization section is comprised as follows:
-*
-* ```text
-* | sequence_length | number_of_factors | integer_factors |
-* ```
-*
-* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
-*
-* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
-*
-* ```tex
-* W_N^k
-* ```
-*
-* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
-*
-* ```tex
-* W_N^k = e^{-2\pi ik/N}
-* ```
-*
-* In a backward FFT,
-*
-* ```tex
-* W_N^k = e^{+2\pi ik/N}
-* ```
-*
-* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform multiplying with `(cos,-sin)` and those performing a backward transform multiplying with `(cos,+sin)`.
-*
-* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
-*
-* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
-*
-* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
-*
-* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
-*
-* During initialization, `costi` first writes the sine/cosine table, and then initializes the remaining three sections using `rffti`.
-*
-* @param {PositiveInteger} N - length of the sequence to transform
-* @param {Collection} workspace - workspace array
-* @param {integer} strideW - stride length for `workspace`
-* @param {NonNegativeInteger} offsetW - starting index for `workspace`
-* @returns {Collection} workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 9;
-* var workspace = new Float64Array( ( 3*N ) + 34 );
-*
-* var out = costi( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var cosineTable = workspace.slice( 0, N );
-* // returns <Float64Array>[ 0, ~0.765, ~1.414, ~1.848, 0, ~0.765, ~1.414, ~1.848, 0 ]
-*
-* var twiddleFactors = workspace.slice( (2*N)-1, (3*N)-2 );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( (3*N)-2, (3*N)+2 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-function costi( N, workspace, strideW, offsetW ) {
-	var offsetR;
-	var ns2;
-	var iwc;
-	var iws;
-	var dt;
-	var fk;
-	var i;
-
-	if ( N <= 3 ) {
-		return workspace;
-	}
-	// Compute the number of sine/cosine pairs to store:
-	ns2 = floor( N / 2 );
-
-	// Compute the angular increment:
-	dt = PI / ( N - 1 );
-
-	// Compute and store the sine/cosine table:
-	fk = 0.0;
-	iws = offsetW + strideW;
-	iwc = offsetW + ( (N-2)*strideW );
-	for ( i = 1; i < ns2; i++ ) {
-		fk += 1.0;
-		sincos( fk*dt, SINCOS_WORKSPACE, 1, 0 );
-		workspace[ iws ] = SINCOS_WORKSPACE[ 0 ] * 2.0;
-		workspace[ iwc ] = SINCOS_WORKSPACE[ 1 ] * 2.0;
-		iws += strideW;
-		iwc -= strideW;
-	}
-	// Resolve the starting index for the `rffti` workspace:
-	offsetR = offsetW + ( N*strideW );
-
-	// Initialize the real FFT workspace for a sequence of length N-1:
-	rffti( N-1, workspace, strideW, offsetR );
-
-	return workspace;
-}
-
-
-// EXPORTS //
-
-module.exports = costi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/costi/package.json
deleted file mode 100644
index eae44f1cec64..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/package.json
+++ /dev/null
@@ -1,64 +0,0 @@
-{
-  "name": "@stdlib/fft/base/fftpack/costi",
-  "version": "0.0.0",
-  "description": "Initialize a workspace array for performing a cosine transform.",
-  "license": "Apache-2.0",
-  "author": {
-    "name": "The Stdlib Authors",
-    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-  },
-  "contributors": [
-    {
-      "name": "The Stdlib Authors",
-      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-    }
-  ],
-  "main": "./lib",
-  "directories": {
-    "benchmark": "./benchmark",
-    "doc": "./docs",
-    "example": "./examples",
-    "lib": "./lib",
-    "test": "./test"
-  },
-  "types": "./docs/types",
-  "scripts": {},
-  "homepage": "https://github.com/stdlib-js/stdlib",
-  "repository": {
-    "type": "git",
-    "url": "git://github.com/stdlib-js/stdlib.git"
-  },
-  "bugs": {
-    "url": "https://github.com/stdlib-js/stdlib/issues"
-  },
-  "dependencies": {},
-  "devDependencies": {},
-  "engines": {
-    "node": ">=0.10.0",
-    "npm": ">2.7.0"
-  },
-  "os": [
-    "aix",
-    "darwin",
-    "freebsd",
-    "linux",
-    "macos",
-    "openbsd",
-    "sunos",
-    "win32",
-    "windows"
-  ],
-  "keywords": [
-    "stdlib",
-    "fft",
-    "fftpack",
-    "costi",
-    "fourier",
-    "transform",
-    "twiddle",
-    "workspace",
-    "initialization",
-    "cosine"
-  ],
-  "__stdlib__": {}
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/Makefile
deleted file mode 100644
index 7ce16281940d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/Makefile
+++ /dev/null
@@ -1,137 +0,0 @@
-#/
-# @license Apache-2.0
-#
-# Copyright (c) 2026 The Stdlib Authors.
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#    http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-#/
-
-# VARIABLES #
-
-ifndef VERBOSE
-	QUIET := @
-endif
-
-# Specify the path to FFTPACK:
-FFTPACK ?=
-
-# Specify a list of FFTPACK source files:
-FFTPACK_SRC ?=
-
-# Determine the OS:
-#
-# [1]: https://en.wikipedia.org/wiki/Uname#Examples
-# [2]: http://stackoverflow.com/a/27776822/2225624
-OS ?= $(shell uname)
-ifneq (, $(findstring MINGW,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring MSYS,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring CYGWIN,$(OS)))
-	OS := WINNT
-endif
-endif
-endif
-
-# Define the program used for compiling C source files:
-ifdef C_COMPILER
-	CC := $(C_COMPILER)
-else
-	CC := gcc
-endif
-
-# Define the command-line options when compiling C files:
-CFLAGS ?= \
-	-std=c99 \
-	-O3 \
-	-Wall \
-	-pedantic
-
-# Determine whether to generate [position independent code][1]:
-#
-# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
-# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
-ifeq ($(OS), WINNT)
-	fPIC ?=
-else
-	fPIC ?= -fPIC
-endif
-
-# List of C targets:
-c_targets := runner.out
-
-
-# RULES #
-
-#/
-# Compiles C source files.
-#
-# @param {string} [C_COMPILER] - C compiler
-# @param {string} [CFLAGS] - C compiler flags
-# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
-#
-# @example
-# make
-#
-# @example
-# make all
-#/
-all: $(c_targets)
-
-.PHONY: all
-
-#/
-# Compiles C source files.
-#
-# @private
-# @param {string} CC - C compiler
-# @param {string} CFLAGS - C compiler flags
-# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
-#/
-$(c_targets): %.out: %.c
-	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
-
-#/
-# Generates test fixtures.
-#
-# @example
-# make run
-#/
-run: $(c_targets)
-	$(QUIET) ./$<
-
-.PHONY: run
-
-#/
-# Removes generated files.
-#
-# @example
-# make clean
-#/
-clean:
-	$(QUIET) -rm -f *.o *.out
-
-.PHONY: clean
-
-#/
-# Removes generated test fixtures.
-#
-# @example
-# make clean-fixtures
-#/
-clean-fixtures:
-	$(QUIET) -rm -f *.json
-
-.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/large.json
deleted file mode 100644
index 3f6163310f81..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/large.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/medium.json
deleted file mode 100644
index defc24a0cdda..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/medium.json
+++ /dev/null
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/runner.c
deleted file mode 100644
index 92ab037366e8..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/runner.c
+++ /dev/null
@@ -1,304 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-/**
-* Generate FFTPACK test fixtures.
-*
-* ## Notes
-*
-* -   Run this script from the directory in which fixtures should be written.
-*
-*/
-
-#include <stdlib.h>
-#include <stdio.h>
-#include <time.h>
-
-/**
-* Define prototypes for external functions.
-*/
-extern void costi( int n, double *wsave );
-
-/**
-* Generates a random number on the interval [0,1].
-*
-* @return random number
-*/
-double rand_double( void ) {
-	int r = rand();
-	return (double)r / ( (double)RAND_MAX + 1.0 );
-}
-
-/**
-* Generates an array of pseudorandom integers drawn from a uniform distribution.
-*
-* ## Notes
-*
-* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
-*
-*
-* @param out  output array
-* @param len  array length
-* @param a    lower bound (inclusive)
-* @param b    upper bound (exclusive)
-*/
-void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
-	unsigned int i;
-	unsigned int r;
-	double delta;
-
-	delta = (double)b - (double)a;
-
-	for ( i = 0; i < len; i++ ) {
-		r = (unsigned int)( delta * rand_double() ); // truncation
-		out[ i ] = (int)( a + r );
-	}
-}
-
-/**
-* Writes an array of doubles to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of doubles
-* @param len  array length
-*/
-void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%.17g", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes an array of integers to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of integers
-* @param len  array length
-*/
-void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%d", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes a named array of doubles to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_f64( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes a named array of integers to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_i32( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes data to a file as JSON.
-*
-* ## Notes
-*
-* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
-*
-*
-* @param f          file to write to
-* @param lengths    sequence lengths
-* @param offsets    cosine and twiddle offsets
-* @param cosines    cosine values
-* @param twiddles   twiddle factors
-* @param num        number of sequence lengths
-* @param total      total number of cosine and twiddle values
-*/
-void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *cosines, const double *twiddles, const unsigned int num, const unsigned int total ) {
-	fprintf( f, "{" );
-	write_named_array_i32( f, "lengths", lengths, num );
-	fprintf( f, "," );
-	write_named_array_i32( f, "offsets", offsets, num );
-	fprintf( f, "," );
-	write_named_array_f64( f, "cosines", cosines, total );
-	fprintf( f, "," );
-	write_named_array_f64( f, "twiddles", twiddles, total );
-	fprintf( f, "}\n" );
-}
-
-/**
-* Generates test fixtures.
-*
-* @param lengths  sequence lengths
-* @param offsets  cosine and twiddle offsets into flat output array
-* @param num      number of sequence lengths
-* @param total    total number of cosine and twiddle values
-* @param name     output filename
-*/
-void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
-	double *twiddles;
-	double *cosines;
-	unsigned int i;
-	unsigned int j;
-	double *wsave;
-	FILE *f;
-	int off;
-	int n;
-
-	// Allocate an output array for cosine values:
-	cosines = (double*) malloc( total * sizeof(double) );
-	if ( cosines == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Allocate an output array for twiddle factors:
-	twiddles = (double*) malloc( total * sizeof(double) );
-	if ( twiddles == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	for ( i = 0; i < num; i++ ) {
-		n = lengths[ i ];
-		wsave = (double*) calloc( 3*n + 15, sizeof(double) );
-		if ( wsave == NULL ) {
-			printf( "Error allocating memory.\n" );
-			exit( 1 );
-		}
-		costi( n, wsave );
-
-		// Copy cosine region into flat array (N values starting at wsave[0]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)n; j++ ) {
-			cosines[ off + j ] = wsave[ j ];
-		}
-
-		// Copy twiddle region into flat array (N-1 values starting at wsave[(2*n)-1]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)( n - 1 ); j++ ) {
-			twiddles[ off + j ] = wsave[ ( 2*n ) - 1 + j ];
-		}
-		free( wsave );
-	}
-	// Open a new file:
-	f = fopen( name, "w" );
-	if ( f == NULL ) {
-		printf( "Error opening file.\n" );
-		exit( 1 );
-	}
-
-	// Write data as JSON:
-	write_data_as_json( f, lengths, offsets, cosines, twiddles, num, total );
-
-	// Close the file:
-	fclose( f );
-
-	// Free allocated memory:
-	free( cosines );
-	free( twiddles );
-}
-
-/**
-* Computes offsets into flat cosine and twiddle arrays for each sequence length.
-*
-* @param offsets  output array of offsets
-* @param lengths  sequence lengths
-* @param num      number of sequence lengths
-* @return total number of cosine and twiddle values
-*/
-unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
-	unsigned int total;
-	unsigned int i;
-
-	total = 0;
-	for ( i = 0; i < num; i++ ) {
-		offsets[ i ] = total;
-		total += lengths[ i ];
-	}
-	return total;
-}
-
-/**
-* Main execution sequence.
-*/
-int main( void ) {
-	unsigned int total;
-	unsigned int num;
-	int *lengths;
-	int *offsets;
-
-	// Use the current time to seed the random number generator:
-	srand( time( NULL ) );
-
-	// Define the number of sequence lengths per range:
-	num = 10;
-
-	// Allocate arrays:
-	lengths = (int*) malloc( num * sizeof(int) );
-	if ( lengths == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-	offsets = (int*) malloc( num * sizeof(int) );
-	if ( offsets == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	rand_array_i32( lengths, num, 2, 16 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "small.json" );
-
-	rand_array_i32( lengths, num, 16, 128 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "medium.json" );
-
-	rand_array_i32( lengths, num, 128, 1024 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "large.json" );
-
-	// Free allocated memory:
-	free( lengths );
-	free( offsets );
-
-	return 0;
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/small.json
deleted file mode 100644
index 03372bfa74b5..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/fixtures/c/fftpack/small.json
+++ /dev/null
@@ -1 +0,0 @@
-{"lengths":[9,2,8,7,12,11,2,4,10,12],"offsets":[0,9,11,19,26,38,49,51,55,65],"cosines":[0,0.76536686473017956,1.4142135623730949,1.8477590650225735,0,0.76536686473017967,1.4142135623730951,1.8477590650225735,0,0,0,0,0.86776747823511624,1.5636629649360596,1.9498558243636472,0.4450418679126289,1.2469796037174672,1.8019377358048383,0,0,0.99999999999999989,1.7320508075688772,0,1.0000000000000002,1.7320508075688774,0,0,0.56346511368285934,1.0812816349111951,1.5114991487085165,1.8192639907090367,1.9796428837618654,0.28462967654657023,0.83083002600377287,1.3097214678905702,1.6825070656623624,1.9189859472289947,0,0,0.61803398874989479,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0.6180339887498949,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0,0,0,1.7320508075688772,1.0000000000000002,0,0,0.68404028665133743,1.2855752193730785,1.7320508075688772,1.969615506024416,0.34729635533386083,1.0000000000000002,1.532088886237956,1.8793852415718169,0,0,0.56346511368285934,1.0812816349111951,1.5114991487085165,1.8192639907090367,1.9796428837618654,0.28462967654657023,0.83083002600377287,1.3097214678905702,1.6825070656623624,1.9189859472289947,0],"twiddles":[0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.50000000000000011,0.8660254037844386,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0,0,0,0,0,0,0,0.76604444311897801,0.64278760968653925,0,0.17364817766693041,0.98480775301220802,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/test.js
deleted file mode 100644
index 0602234a1a93..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/costi/test/test.js
+++ /dev/null
@@ -1,314 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var tape = require( 'tape' );
-var Float64Array = require( '@stdlib/array/float64' );
-var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
-var costi = require( './../lib' );
-
-
-// FIXTURES //
-
-var small = require( './fixtures/c/fftpack/small.json' );
-var medium = require( './fixtures/c/fftpack/medium.json' );
-var large = require( './fixtures/c/fftpack/large.json' );
-
-
-// TESTS //
-
-tape( 'main export is a function', function test( t ) {
-	t.ok( true, __filename );
-	t.strictEqual( typeof costi, 'function', 'main export is a function' );
-	t.end();
-});
-
-tape( 'the function has an arity of 4', function test( t ) {
-	t.strictEqual( costi.length, 4, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function returns a reference to the workspace array', function test( t ) {
-	var workspace;
-	var out;
-	var N;
-
-	N = 8;
-	workspace = new Float64Array( ( 3*N ) + 34 );
-	out = costi( N, workspace, 1, 0 );
-
-	t.strictEqual( out, workspace, 'same reference' );
-	t.end();
-});
-
-tape( 'the function correctly initializes sine and cosine values (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.cosines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		costi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		costi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N-1; i++ ) {
-			y = workspace[ (2*N) - 1 + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes sine and cosine values (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.cosines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		costi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		costi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N-1; i++ ) {
-			y = workspace[ (2*N) - 1 + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes sine and cosine values (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.cosines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		costi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		costi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N-1; i++ ) {
-			y = workspace[ (2*N) - 1 + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
-	var workspace;
-	var N;
-	var i;
-
-	N = 8;
-	workspace = new Float64Array( ( 3*N ) + 34 );
-
-	for ( i = 0; i < workspace.length; i++ ) {
-		workspace[ i ] = i + 1.0;
-	}
-	costi( N, workspace, 1, 0 );
-	for ( i = N; i < (2*N) - 1; i++ ) {
-		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
-	}
-	t.end();
-});
-
-tape( 'the function correctly handles stride and offset parameters', function test( t ) {
-	var workspace;
-	var expected;
-	var stride;
-	var offset;
-	var nf;
-	var N;
-	var i;
-
-	N = 9;
-	stride = 2;
-	offset = 3;
-	workspace = new Float64Array( offset + ( ( ( 3*N ) + 34 ) * stride ) );
-
-	costi( N, workspace, stride, offset );
-
-	t.strictEqual( workspace[ offset + ( ( (3*N)-2 ) * stride ) ], N-1, 'returns expected value' );
-
-	nf = workspace[ offset + ( ( (3*N)-1 ) * stride ) ];
-	t.strictEqual( nf, 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( 3*N ) * stride ) ], 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( (3*N)+1 ) * stride ) ], 4, 'returns expected value' );
-
-	expected = new Float64Array( ( 3*N ) + 34 );
-	costi( N, expected, 1, 0 );
-
-	for ( i = 0; i < N-1; i++ ) {
-		t.strictEqual( workspace[ offset + ( ( (2*N)-1+i ) * stride ) ], expected[ (2*N)-1+i ], 'returns expected value' );
-	}
-	t.end();
-});

From 8f5d6d92d738719df0c8d518073884257c3ecb51 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:36:27 +0530
Subject: [PATCH 21/32] feat: add `fft/base/fftpack/generic/sinti`

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: passed
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/generic/sinti/README.md  | 175 +++++++++
 .../generic/sinti/benchmark/benchmark.js      | 102 ++++++
 .../base/fftpack/generic/sinti/docs/repl.txt  |  64 ++++
 .../generic/sinti/docs/types/index.d.ts       |  65 ++++
 .../fftpack/generic/sinti/docs/types/test.ts  |  95 +++++
 .../fftpack/generic/sinti/examples/index.js   |  46 +++
 .../base/fftpack/generic/sinti/lib/index.js   |  57 +++
 .../base/fftpack/generic/sinti/lib/main.js    | 200 +++++++++++
 .../base/fftpack/generic/sinti/package.json   |  64 ++++
 .../sinti/test/fixtures/c/fftpack/Makefile    | 137 +++++++
 .../sinti/test/fixtures/c/fftpack/large.json  |   1 +
 .../sinti/test/fixtures/c/fftpack/medium.json |   1 +
 .../sinti/test/fixtures/c/fftpack/runner.c    | 304 ++++++++++++++++
 .../sinti/test/fixtures/c/fftpack/small.json  |   1 +
 .../base/fftpack/generic/sinti/test/test.js   | 335 ++++++++++++++++++
 15 files changed, 1647 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/Makefile
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/large.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/medium.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/runner.c
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/small.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/README.md
new file mode 100644
index 000000000000..e233d612f3e0
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/README.md
@@ -0,0 +1,175 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# sinti
+
+> Initialize a workspace array for performing a sine transform.
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var sinti = require( '@stdlib/fft/base/fftpack/generic/sinti' );
+```
+
+#### sinti( N, workspace, strideW, offsetW )
+
+Initializes a workspace array for performing a sine transform.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var floor = require( '@stdlib/math/base/special/floor' );
+
+var N = 7;
+var workspace = new Float64Array( floor( 2.5*N ) + 34 );
+
+var out = sinti( N, workspace, 1, 0 );
+// returns <Float64Array>
+
+var bool = ( out === workspace );
+// returns true
+
+var sineTable = workspace.slice( 0, floor( N/2 ) );
+// returns <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
+
+var twiddleFactors = workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 );
+// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+
+var factors = workspace.slice( floor( 5*N/2 ) + 2, floor( 5*N/2 ) + 2 + 4 );
+// returns <Float64Array>[ 8, 2, 2, 4 ]
+```
+
+The function accepts the following arguments:
+
+-   **N**: length of the sequence to transform.
+-   **workspace**: workspace array.
+-   **strideW**: stride length for `workspace`.
+-   **offsetW**: starting index for `workspace`.
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   The workspace array is divided into four sections:
+
+    ```text
+          size = N/2          N+1                N+1         2+ceil(log2(N+1)/2)
+               ↓               ↓                  ↓                  ↓
+        | sine table | scratch/workspace | twiddle factors | radix factor table |
+               ↑               ↑                  ↑                  ↑
+    i = 0     ...    N/2      ...     (3N/2)+1   ...     (5N/2)+2   ...
+    ```
+
+    -   **sine table**: a table of precomputed sine coefficients used by sine transforms.
+    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+    -   **radix factor table**: a table containing the sequence length `N+1`, the number of factors into which `N+1` was decomposed, and the individual integer radix factors.
+
+-   In general, a workspace array should have `2.5N + 34` indexed elements (as `log2(N+1)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the sine coefficients, twiddle factors, and the factorization of `N+1` are updated.
+
+-   The radix factor table is comprised as follows:
+
+    ```text
+    | sequence_length | number_of_factors | integer_factors |
+    ```
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var sinti = require( '@stdlib/fft/base/fftpack/generic/sinti' );
+
+var N = 7;
+var workspace = new Float64Array( floor( 2.5*N ) + 34 );
+
+sinti( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Sine table:' );
+var idx = zeroTo( floor( N/2 ), 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, floor( N/2 ) ) );
+
+console.log( 'Twiddle factors:' );
+idx = zeroTo( N+1, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ floor( 5*N/2 ) + 3 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( floor( 5*N/2 ) + 4, floor( 5*N/2 ) + 4 + nf ) );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/benchmark/benchmark.js
new file mode 100644
index 000000000000..a4e586b1414e
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/benchmark/benchmark.js
@@ -0,0 +1,102 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var Float64Array = require( '@stdlib/array/float64' );
+var pkg = require( './../package.json' ).name;
+var sinti = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var workspace = new Float64Array( floor( 2.5*N ) + 34 );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			sinti( N, workspace, 1, 0 );
+			if ( isnan( workspace[ floor( 3*N/2 ) + 1 ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( workspace[ floor( 3*N/2 ) + 1 ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		7,
+		15,
+		31,
+		63,
+		127,
+		255,
+		511,
+		1023
+	];
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( N );
+		bench( format( '%s:N=%d', pkg, N ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/repl.txt
new file mode 100644
index 000000000000..387fdf2987d4
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/repl.txt
@@ -0,0 +1,64 @@
+
+{{alias}}( N, workspace, strideW, offsetW )
+    Initializes a workspace array for performing a sine transform.
+
+    The workspace array is divided into four sections:
+
+    1. sine table: the section ranges from indices 0 to N/2 and is used to
+    store a table of precomputed sine coefficients used by sine transforms.
+
+    2. scratch/workspace: the section ranges from indices N/2 to 3N/2 and is
+    used while performing transforms. This section is not updated during
+    initialization.
+
+    3. twiddle factors: the section ranges from indices (3N/2)+1 to (5N/2)+1
+    and stores a table of reusable complex exponential constants as cosine/sine
+    pairs.
+
+    4. radix factor table: the section starts at index (5N/2)+2 and stores the
+    sequence length N+1, the number of factors into which N+1 was decomposed,
+    and the individual integer radix factors.
+
+    Any remaining array space remains as unused storage.
+
+    Parameters
+    ----------
+    N: integer
+        Length of the sequence.
+
+    workspace: ArrayLikeObject<number>
+        Workspace array.
+
+    strideW: integer
+        Stride length for `workspace`.
+
+    offsetW: integer
+        Starting index for `workspace`.
+
+    Returns
+    -------
+    out: ArrayLikeObject<number>
+        Workspace array.
+
+    Examples
+    --------
+    > var N = 7;
+    > var len = {{alias:@stdlib/math/base/special/floor}}( 2.5*N ) + 34;
+    > var workspace = new {{alias:@stdlib/array/float64}}( len );
+    > var out = {{alias}}( N, workspace, 1, 0 )
+    <Float64Array>
+    > var bool = ( out === workspace )
+    true
+    > var ns2 = {{alias:@stdlib/math/base/special/floor}}( N/2 );
+    > var sineTable = workspace.slice( 0, ns2 )
+    <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
+    > var iw = ns2 + N + 1;
+    > var twiddleFactors = workspace.slice( iw, iw + (N+1) )
+    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+    > var fw = ns2 + 2*(N+1);
+    > var factors = workspace.slice( fw, fw + 4 )
+    <Float64Array>[ 8, 2, 2, 4 ]
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/types/index.d.ts
new file mode 100644
index 000000000000..58cd8e06ba3d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/types/index.d.ts
@@ -0,0 +1,65 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Initializes a workspace array for performing a sine transform.
+*
+* ## Notes
+*
+* -   The workspace array should have a length of at least `( 2.5*N ) + 34` elements.
+*
+* @param N - length of the sequence
+* @param workspace - workspace array
+* @param strideW - stride length for `workspace`
+* @param offsetW - starting index for `workspace`
+* @returns workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var floor = require( '@stdlib/math/base/special/floor' );
+*
+* var N = 7;
+* var workspace = new Float64Array( floor( 2.5*N ) + 34 );
+*
+* var out = sinti( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var sineTable = workspace.slice( 0, floor( N/2 ) );
+* // returns <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
+*
+* var twiddleFactors = workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( floor( 5*N/2 ) + 2, floor( 5*N/2 ) + 2 + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+declare function sinti<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
+
+
+// EXPORTS //
+
+export = sinti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/types/test.ts
new file mode 100644
index 000000000000..1cf202c7bbcb
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/docs/types/test.ts
@@ -0,0 +1,95 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import floor = require( '@stdlib/math/base/special/floor' );
+import sinti = require( './index' );
+
+
+// TESTS //
+
+// The function returns a collection...
+{
+	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
+
+	sinti( 7, workspace, 1, 0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
+
+	sinti( '7', workspace, 1, 0 ); // $ExpectError
+	sinti( true, workspace, 1, 0 ); // $ExpectError
+	sinti( false, workspace, 1, 0 ); // $ExpectError
+	sinti( null, workspace, 1, 0 ); // $ExpectError
+	sinti( void 0, workspace, 1, 0 ); // $ExpectError
+	sinti( [], workspace, 1, 0 ); // $ExpectError
+	sinti( {}, workspace, 1, 0 ); // $ExpectError
+	sinti( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a collection...
+{
+	sinti( 7, '50', 1, 0 ); // $ExpectError
+	sinti( 7, 50, 1, 0 ); // $ExpectError
+	sinti( 7, true, 1, 0 ); // $ExpectError
+	sinti( 7, false, 1, 0 ); // $ExpectError
+	sinti( 7, null, 1, 0 ); // $ExpectError
+	sinti( 7, void 0, 1, 0 ); // $ExpectError
+	sinti( 7, {}, 1, 0 ); // $ExpectError
+	sinti( 7, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
+
+	sinti( 7, workspace, '1', 0 ); // $ExpectError
+	sinti( 7, workspace, true, 0 ); // $ExpectError
+	sinti( 7, workspace, false, 0 ); // $ExpectError
+	sinti( 7, workspace, null, 0 ); // $ExpectError
+	sinti( 7, workspace, void 0, 0 ); // $ExpectError
+	sinti( 7, workspace, [], 0 ); // $ExpectError
+	sinti( 7, workspace, {}, 0 ); // $ExpectError
+	sinti( 7, workspace, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
+
+	sinti( 7, workspace, 1, '0' ); // $ExpectError
+	sinti( 7, workspace, 1, true ); // $ExpectError
+	sinti( 7, workspace, 1, false ); // $ExpectError
+	sinti( 7, workspace, 1, null ); // $ExpectError
+	sinti( 7, workspace, 1, void 0 ); // $ExpectError
+	sinti( 7, workspace, 1, [] ); // $ExpectError
+	sinti( 7, workspace, 1, {} ); // $ExpectError
+	sinti( 7, workspace, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
+
+	sinti(); // $ExpectError
+	sinti( 7 ); // $ExpectError
+	sinti( 7, workspace ); // $ExpectError
+	sinti( 7, workspace, 1 ); // $ExpectError
+	sinti( 7, workspace, 1, 0, 123 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/examples/index.js
new file mode 100644
index 000000000000..e006767c0961
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/examples/index.js
@@ -0,0 +1,46 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var sinti = require( './../lib' );
+
+var N = 7;
+var workspace = new Float64Array( floor( 2.5*N ) + 34 );
+
+sinti( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Sine table:' );
+var idx = zeroTo( floor( N/2 ), 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, floor( N/2 ) ) );
+
+console.log( 'Twiddle factors:' );
+idx = zeroTo( N+1, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ floor( 5*N/2 ) + 3 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( floor( 5*N/2 ) + 4, floor( 5*N/2 ) + 4 + nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/lib/index.js
new file mode 100644
index 000000000000..3ce2dd5c2f60
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/lib/index.js
@@ -0,0 +1,57 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Initialize a workspace array for performing a sine transform.
+*
+* @module @stdlib/fft/base/fftpack/generic/sinti
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var floor = require( '@stdlib/math/base/special/floor' );
+* var sinti = require( '@stdlib/fft/base/fftpack/generic/sinti' );
+*
+* var N = 7;
+* var workspace = new Float64Array( floor( 2.5*N ) + 34 );
+*
+* var out = sinti( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var sineTable = workspace.slice( 0, floor( N/2 ) );
+* // returns <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
+*
+* var twiddleFactors = workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( floor( 5*N/2 ) + 2, floor( 5*N/2 ) + 2 + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/lib/main.js
new file mode 100644
index 000000000000..6f3da13cc879
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/lib/main.js
@@ -0,0 +1,200 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var sin = require( '@stdlib/math/base/special/sin' );
+var PI = require( '@stdlib/constants/float64/pi' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+
+
+// MAIN //
+
+/**
+* Initializes a workspace array for performing a sine transform.
+*
+* ## Notes
+*
+* The workspace array is divided into four sections:
+*
+* ```text
+*       size = N/2         N+1                 N+1         2+ceil(log2(N+1)/2)
+*            ↓              ↓                   ↓                   ↓
+*     | sine table | scratch/workspace | twiddle factors | radix factor table |
+*            ↑              ↑                   ↑                   ↑
+* i = 0     ...   N/2      ...      (3N/2)+1   ...    (5N/2)+2     ...
+* ```
+*
+* where
+*
+* -   **sine table**: a table of precomputed sine coefficients used by sine transforms.
+* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+* -   **radix factor table**: a table containing the radix factorization of `N+1`.
+*
+* In general, a workspace array should have `2.5N + 34` indexed elements (as `log2(N+1)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the sine coefficients, twiddle factors, and the factorization of `N+1` are updated.
+*
+* > Note: FFTPACK only requires `2.5N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
+*
+* The factorization section is comprised as follows:
+*
+* ```text
+* | sequence_length | number_of_factors | integer_factors |
+* ```
+*
+* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
+*
+* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
+*
+* ```tex
+* W_N^k
+* ```
+*
+* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
+*
+* ```tex
+* W_N^k = e^{-2\pi ik/N}
+* ```
+*
+* In a backward FFT,
+*
+* ```tex
+* W_N^k = e^{+2\pi ik/N}
+* ```
+*
+* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform multiplying with `(cos,-sin)` and those performing a backward transform multiplying with `(cos,+sin)`.
+*
+* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
+*
+* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
+*
+* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
+*
+* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
+*
+* During initialization, `sinti` first writes the sine table, and then initializes the remaining three sections using `rffti`.
+*
+* @param {PositiveInteger} N - length of the sequence to transform
+* @param {Collection} workspace - workspace array
+* @param {integer} strideW - stride length for `workspace`
+* @param {NonNegativeInteger} offsetW - starting index for `workspace`
+* @returns {Collection} workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var floor = require( '@stdlib/math/base/special/floor' );
+*
+* var N = 7;
+* var workspace = new Float64Array( floor( 2.5*N ) + 34 );
+*
+* var out = sinti( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var sineTable = workspace.slice( 0, floor( N/2 ) );
+* // returns <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
+*
+* var twiddleFactors = workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( floor( 5*N/2 ) + 2, floor( 5*N/2 ) + 2 + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+function sinti( N, workspace, strideW, offsetW ) {
+	var offsetR;
+	var ns2;
+	var dt;
+	var fk;
+	var iw;
+	var i;
+
+	if ( N <= 1 ) {
+		return workspace;
+	}
+
+	// Compute the number of sine values to store:
+	ns2 = floor( N / 2 );
+
+	// Compute the angular increment:
+	dt = PI / ( N + 1 );
+
+	// Compute and store the sine table:
+	fk = 0.0;
+	iw = offsetW;
+	for ( i = 0; i < ns2; i++ ) {
+		fk += 1.0;
+		workspace[ iw+(i*strideW) ] = sin( fk*dt ) * 2.0;
+	}
+	// Resolve the starting index for the `rffti` workspace:
+	offsetR = offsetW + (ns2*strideW);
+
+	// Initialize the real FFT workspace for a sequence of length N+1:
+	rffti( N+1, workspace, strideW, offsetR );
+
+	return workspace;
+}
+
+
+// EXPORTS //
+
+module.exports = sinti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/package.json
new file mode 100644
index 000000000000..798aea244eaf
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/package.json
@@ -0,0 +1,64 @@
+{
+  "name": "@stdlib/fft/base/fftpack/generic/sinti",
+  "version": "0.0.0",
+  "description": "Initialize a workspace array for performing a sine transform.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "fft",
+    "fftpack",
+    "sinti",
+    "fourier",
+    "transform",
+    "twiddle",
+    "workspace",
+    "initialization",
+    "sine"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/Makefile
new file mode 100644
index 000000000000..7ce16281940d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/Makefile
@@ -0,0 +1,137 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+endif
+
+# Specify the path to FFTPACK:
+FFTPACK ?=
+
+# Specify a list of FFTPACK source files:
+FFTPACK_SRC ?=
+
+# Determine the OS:
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate [position independent code][1]:
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := runner.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler
+# @param {string} [CFLAGS] - C compiler flags
+# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
+
+#/
+# Generates test fixtures.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
+
+#/
+# Removes generated test fixtures.
+#
+# @example
+# make clean-fixtures
+#/
+clean-fixtures:
+	$(QUIET) -rm -f *.json
+
+.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/large.json
new file mode 100644
index 000000000000..867e4abd85b0
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/large.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/medium.json
new file mode 100644
index 000000000000..5b71d20d3c92
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/medium.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/runner.c
new file mode 100644
index 000000000000..1844165535d8
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/runner.c
@@ -0,0 +1,304 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/**
+* Generate FFTPACK test fixtures.
+*
+* ## Notes
+*
+* -   Run this script from the directory in which fixtures should be written.
+*
+*/
+
+#include <stdlib.h>
+#include <stdio.h>
+#include <time.h>
+
+/**
+* Define prototypes for external functions.
+*/
+extern void sinti( int n, double *wsave );
+
+/**
+* Generates a random number on the interval [0,1].
+*
+* @return random number
+*/
+double rand_double( void ) {
+	int r = rand();
+	return (double)r / ( (double)RAND_MAX + 1.0 );
+}
+
+/**
+* Generates an array of pseudorandom integers drawn from a uniform distribution.
+*
+* ## Notes
+*
+* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
+*
+*
+* @param out  output array
+* @param len  array length
+* @param a    lower bound (inclusive)
+* @param b    upper bound (exclusive)
+*/
+void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
+	unsigned int i;
+	unsigned int r;
+	double delta;
+
+	delta = (double)b - (double)a;
+
+	for ( i = 0; i < len; i++ ) {
+		r = (unsigned int)( delta * rand_double() ); // truncation
+		out[ i ] = (int)( a + r );
+	}
+}
+
+/**
+* Writes an array of doubles to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of doubles
+* @param len  array length
+*/
+void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%.17g", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes an array of integers to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of integers
+* @param len  array length
+*/
+void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%d", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes a named array of doubles to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_f64( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes a named array of integers to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_i32( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes data to a file as JSON.
+*
+* ## Notes
+*
+* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
+*
+*
+* @param f          file to write to
+* @param lengths    sequence lengths
+* @param offsets    sine and twiddle offsets
+* @param sines      sine values
+* @param twiddles   twiddle factors
+* @param num        number of sequence lengths
+* @param total      total number of sine and twiddle values
+*/
+void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *sines, const double *twiddles, const unsigned int num, const unsigned int total ) {
+	fprintf( f, "{" );
+	write_named_array_i32( f, "lengths", lengths, num );
+	fprintf( f, "," );
+	write_named_array_i32( f, "offsets", offsets, num );
+	fprintf( f, "," );
+	write_named_array_f64( f, "sines", sines, total );
+	fprintf( f, "," );
+	write_named_array_f64( f, "twiddles", twiddles, total );
+	fprintf( f, "}\n" );
+}
+
+/**
+* Generates test fixtures.
+*
+* @param lengths  sequence lengths
+* @param offsets  sine and twiddle offsets into flat output array
+* @param num      number of sequence lengths
+* @param total    total number of sine and twiddle values
+* @param name     output filename
+*/
+void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
+	unsigned int i;
+	unsigned int j;
+	double *sines;
+	double *twiddles;
+	double *wsave;
+	FILE *f;
+	int off;
+	int n;
+
+	// Allocate an output array for sine values:
+	sines = (double*) calloc( total, sizeof(double) );
+	if ( sines == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Allocate an output array for twiddle factors:
+	twiddles = (double*) calloc( total, sizeof(double) );
+	if ( twiddles == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	for ( i = 0; i < num; i++ ) {
+		n = lengths[ i ];
+		wsave = (double*) calloc( (int)(2.5*n) + 15, sizeof(double) );
+		if ( wsave == NULL ) {
+			printf( "Error allocating memory.\n" );
+			exit( 1 );
+		}
+		sinti( n, wsave );
+
+		// Copy sine region into flat array (N/2 values starting at wsave[0]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)(n/2); j++ ) {
+			sines[ off + j ] = wsave[ j ];
+		}
+
+		// Copy twiddle region into flat array (N+1 values starting at wsave[(n/2)+n+1]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)( n + 1 ); j++ ) {
+			twiddles[ off + j ] = wsave[ ( n/2 ) + n + 1 + j ];
+		}
+		free( wsave );
+	}
+	// Open a new file:
+	f = fopen( name, "w" );
+	if ( f == NULL ) {
+		printf( "Error opening file.\n" );
+		exit( 1 );
+	}
+
+	// Write data as JSON:
+	write_data_as_json( f, lengths, offsets, sines, twiddles, num, total );
+
+	// Close the file:
+	fclose( f );
+
+	// Free allocated memory:
+	free( sines );
+	free( twiddles );
+}
+
+/**
+* Computes offsets into flat sine and twiddle arrays for each sequence length.
+*
+* @param offsets  output array of offsets
+* @param lengths  sequence lengths
+* @param num      number of sequence lengths
+* @return total number of sine and twiddle values
+*/
+unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
+	unsigned int total;
+	unsigned int i;
+
+	total = 0;
+	for ( i = 0; i < num; i++ ) {
+		offsets[ i ] = total;
+		total += lengths[ i ] + 1;
+	}
+	return total;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	unsigned int total;
+	unsigned int num;
+	int *lengths;
+	int *offsets;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	// Define the number of sequence lengths per range:
+	num = 10;
+
+	// Allocate arrays:
+	lengths = (int*) malloc( num * sizeof(int) );
+	if ( lengths == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+	offsets = (int*) malloc( num * sizeof(int) );
+	if ( offsets == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	rand_array_i32( lengths, num, 2, 16 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "small.json" );
+
+	rand_array_i32( lengths, num, 16, 128 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "medium.json" );
+
+	rand_array_i32( lengths, num, 128, 1024 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "large.json" );
+
+	// Free allocated memory:
+	free( lengths );
+	free( offsets );
+
+	return 0;
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/small.json
new file mode 100644
index 000000000000..dc1e4ec8bbb5
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/fixtures/c/fftpack/small.json
@@ -0,0 +1 @@
+{"lengths":[5,3,6,7,9,7,15,9,11,9],"offsets":[0,6,10,17,25,35,43,59,69,81],"sines":[0.99999999999999989,1.7320508075688772,0,0,0,0,1.4142135623730949,0,0,0,0.86776747823511624,1.5636629649360596,1.9498558243636472,0,0,0,0,0.76536686473017956,1.4142135623730949,1.8477590650225735,0,0,0,0,0,0.61803398874989479,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0,0,0,0,0,0.76536686473017956,1.4142135623730949,1.8477590650225735,0,0,0,0,0,0.3901806440322565,0.76536686473017956,1.1111404660392044,1.4142135623730949,1.6629392246050905,1.8477590650225735,1.9615705608064609,0,0,0,0,0,0,0,0,0,0.61803398874989479,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0,0,0,0,0,0.51763809020504148,0.99999999999999989,1.4142135623730949,1.7320508075688772,1.9318516525781364,0,0,0,0,0,0,0,0.61803398874989479,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0,0,0,0,0],"twiddles":[0.50000000000000011,0.8660254037844386,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0.92387953251128674,0.38268343236508978,0,0,0.70710678118654757,0.70710678118654746,0,0,0.38268343236508984,0.92387953251128674,0,0,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0.86602540378443871,0.49999999999999994,0,0.50000000000000011,0.8660254037844386,0,6.123233995736766e-17,1,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/test.js
new file mode 100644
index 000000000000..a6960135d70d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinti/test/test.js
@@ -0,0 +1,335 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var sinti = require( './../lib' );
+
+
+// FIXTURES //
+
+var small = require( './fixtures/c/fftpack/small.json' );
+var medium = require( './fixtures/c/fftpack/medium.json' );
+var large = require( './fixtures/c/fftpack/large.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof sinti, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 4', function test( t ) {
+	t.strictEqual( sinti.length, 4, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns a reference to the workspace array', function test( t ) {
+	var workspace;
+	var out;
+	var N;
+
+	N = 8;
+	workspace = new Float64Array( floor( 2.5*N ) + 34 );
+	out = sinti( N, workspace, 1, 0 );
+
+	t.strictEqual( out, workspace, 'same reference' );
+	t.end();
+});
+
+tape( 'the function correctly initializes sine values (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var ns2;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.sines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		ns2 = floor( N / 2 );
+		workspace = new Float64Array( floor( 2.5*N ) + 34 );
+		sinti( N, workspace, 1, 0 );
+
+		for ( i = 0; i < ns2; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var ns2;
+	var off;
+	var iw;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		ns2 = floor( N / 2 );
+		iw = ns2 + N + 1;
+		workspace = new Float64Array( floor( 2.5*N ) + 34 );
+		sinti( N, workspace, 1, 0 );
+
+		for ( i = 0; i < N+1; i++ ) {
+			y = workspace[ iw + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes sine values (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var ns2;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.sines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		ns2 = floor( N / 2 );
+		workspace = new Float64Array( floor( 2.5*N ) + 34 );
+		sinti( N, workspace, 1, 0 );
+
+		for ( i = 0; i < ns2; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var ns2;
+	var off;
+	var iw;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		ns2 = floor( N / 2 );
+		iw = ns2 + N + 1;
+		workspace = new Float64Array( floor( 2.5*N ) + 34 );
+		sinti( N, workspace, 1, 0 );
+
+		for ( i = 0; i < N+1; i++ ) {
+			y = workspace[ iw + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes sine values (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var ns2;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.sines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		ns2 = floor( N / 2 );
+		workspace = new Float64Array( floor( 2.5*N ) + 34 );
+		sinti( N, workspace, 1, 0 );
+
+		for ( i = 0; i < ns2; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var ns2;
+	var off;
+	var iw;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		ns2 = floor( N / 2 );
+		iw = ns2 + N + 1;
+		workspace = new Float64Array( floor( 2.5*N ) + 34 );
+		sinti( N, workspace, 1, 0 );
+
+		for ( i = 0; i < N+1; i++ ) {
+			y = workspace[ iw + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
+	var workspace;
+	var ns2;
+	var N;
+	var i;
+
+	N = 8;
+	ns2 = floor( N / 2 );
+	workspace = new Float64Array( floor( 2.5*N ) + 34 );
+
+	for ( i = 0; i < workspace.length; i++ ) {
+		workspace[ i ] = i + 1.0;
+	}
+	sinti( N, workspace, 1, 0 );
+	for ( i = ns2; i < ns2 + N + 1; i++ ) {
+		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'the function correctly handles stride and offset parameters', function test( t ) {
+	var workspace;
+	var expected;
+	var stride;
+	var offset;
+	var ns2;
+	var nf;
+	var iw;
+	var fw;
+	var N;
+	var i;
+
+	N = 9;
+	ns2 = floor( N / 2 );
+	stride = 2;
+	offset = 3;
+	workspace = new Float64Array( offset + ( ( floor( 2.5*N ) + 34 ) * stride ) );
+
+	sinti( N, workspace, stride, offset );
+
+	fw = ns2 + ( 2 * ( N+1 ) );
+	t.strictEqual( workspace[ offset + ( fw * stride ) ], N+1, 'returns expected value' );
+
+	nf = workspace[ offset + ( ( fw+1 ) * stride ) ];
+	t.strictEqual( nf, 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( fw+2 ) * stride ) ], 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( fw+3 ) * stride ) ], 5, 'returns expected value' );
+
+	expected = new Float64Array( floor( 2.5*N ) + 34 );
+	sinti( N, expected, 1, 0 );
+
+	iw = ns2 + N + 1;
+	for ( i = 0; i < N+1; i++ ) {
+		t.strictEqual( workspace[ offset + ( ( iw+i ) * stride ) ], expected[ iw+i ], 'returns expected value' );
+	}
+	t.end();
+});

From 79edcf6def9c3ffd770e67444a0297f175de60fc Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:36:56 +0530
Subject: [PATCH 22/32] remove: remove `sinti` from namespace

This commit removes the `sinti` symbol from the
`@stdlib/fft/base/fftpack` namespace due to a package migration.

BREAKING CHANGE: remove `sinti`

To migrate, users should access the same symbol via the
`@stdlib/fft/base/fftpack/generic` namespace.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/docs/types/index.d.ts    | 38 -------------------
 .../@stdlib/fft/base/fftpack/lib/index.js     |  9 -----
 2 files changed, 47 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
index b3f9a4ea9779..5f86cda414ec 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
@@ -21,7 +21,6 @@
 /* eslint-disable max-lines */
 
 import sinqi = require( '@stdlib/fft/base/fftpack/sinqi' );
-import sinti = require( '@stdlib/fft/base/fftpack/sinti' );
 
 /**
 * Interface describing the `fftpack` namespace.
@@ -63,43 +62,6 @@ interface Namespace {
 	* // returns <Float64Array>[ 8, 2, 2, 4 ]
 	*/
 	sinqi: typeof sinqi;
-
-	/**
-	* Initializes a workspace array for performing a sine transform.
-	*
-	* ## Notes
-	*
-	* -   The workspace array should have a length of at least `( 2.5*N ) + 34` elements.
-	*
-	* @param N - length of the sequence
-	* @param workspace - workspace array
-	* @param strideW - stride length for `workspace`
-	* @param offsetW - starting index for `workspace`
-	* @returns workspace array
-	*
-	* @example
-	* var Float64Array = require( '@stdlib/array/float64' );
-	* var floor = require( '@stdlib/math/base/special/floor' );
-	*
-	* var N = 7;
-	* var workspace = new Float64Array( floor( 2.5*N ) + 34 );
-	*
-	* var out = ns.sinti( N, workspace, 1, 0 );
-	* // returns <Float64Array>
-	*
-	* var bool = ( out === workspace );
-	* // returns true
-	*
-	* var sineTable = workspace.slice( 0, floor( N/2 ) );
-	* // returns <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
-	*
-	* var twiddleFactors = workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 );
-	* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-	*
-	* var factors = workspace.slice( floor( 5*N/2 ) + 2, floor( 5*N/2 ) + 2 + 4 );
-	* // returns <Float64Array>[ 8, 2, 2, 4 ]
-	*/
-	sinti: typeof sinti;
 }
 
 /**
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
index e640a109ce06..eba174a0e3b3 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
@@ -49,15 +49,6 @@ var ns = {};
 */
 setReadOnly( ns, 'sinqi', require( '@stdlib/fft/base/fftpack/sinqi' ) );
 
-/**
-* @name sinti
-* @memberof ns
-* @readonly
-* @type {Function}
-* @see {@link module:@stdlib/fft/base/fftpack/sinti}
-*/
-setReadOnly( ns, 'sinti', require( '@stdlib/fft/base/fftpack/sinti' ) );
-
 
 // EXPORTS //
 

From f1a97769567408e92f26daaaf2c24fc8d3fa60e6 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:37:32 +0530
Subject: [PATCH 23/32] refactor: update paths

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 lib/node_modules/@stdlib/fft/base/fftpack/README.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
index 9bceb813fec5..52c597e571e3 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/README.md
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
@@ -49,7 +49,7 @@ var o = ns;
 -   <span class="signature">[`decompose( N, M, initial, si, oi, out, so, oo )`][@stdlib/fft/base/fftpack/decompose]</span><span class="delimiter">: </span><span class="description">factorize a sequence length into a product of integers.</span>
 -   <span class="signature">[`rffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/rffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a real-valued Fourier transform.</span>
 -   <span class="signature">[`sinqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/sinqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave sine transform.</span>
--   <span class="signature">[`sinti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/sinti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a sine transform.</span>
+-   <span class="signature">[`sinti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/sinti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a sine transform.</span>
 
 </div>
 
@@ -104,7 +104,7 @@ console.log( objectKeys( ns ) );
 
 [@stdlib/fft/base/fftpack/sinqi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/sinqi
 
-[@stdlib/fft/base/fftpack/sinti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/sinti
+[@stdlib/fft/base/fftpack/generic/sinti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/sinti
 
 <!-- </toc-links> -->
 

From 9b23a5743809d823bd8bdddc7cf05f851f6a8b9e Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:37:41 +0530
Subject: [PATCH 24/32] remove: remove `fft/base/fftpack/sinti`

This commit removes `@stdlib/fft/base/fftpack/sinti` in favor of
`@stdlib/fft/base/fftpack/generic/sinti`.

BREAKING CHANGE: remove `fft/base/fftpack/sinti`

To migrate, users should update their require/import paths to use
`@stdlib/fft/base/fftpack/generic/sinti` which provides the same API and implementation.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../@stdlib/fft/base/fftpack/sinti/README.md  | 175 ---------
 .../base/fftpack/sinti/benchmark/benchmark.js | 102 ------
 .../fft/base/fftpack/sinti/docs/repl.txt      |  64 ----
 .../base/fftpack/sinti/docs/types/index.d.ts  |  65 ----
 .../fft/base/fftpack/sinti/docs/types/test.ts |  95 -----
 .../fft/base/fftpack/sinti/examples/index.js  |  46 ---
 .../fft/base/fftpack/sinti/lib/index.js       |  57 ---
 .../fft/base/fftpack/sinti/lib/main.js        | 200 -----------
 .../fft/base/fftpack/sinti/package.json       |  64 ----
 .../sinti/test/fixtures/c/fftpack/Makefile    | 137 -------
 .../sinti/test/fixtures/c/fftpack/large.json  |   1 -
 .../sinti/test/fixtures/c/fftpack/medium.json |   1 -
 .../sinti/test/fixtures/c/fftpack/runner.c    | 304 ----------------
 .../sinti/test/fixtures/c/fftpack/small.json  |   1 -
 .../fft/base/fftpack/sinti/test/test.js       | 335 ------------------
 15 files changed, 1647 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/README.md
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/benchmark/benchmark.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/repl.txt
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/types/index.d.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/types/test.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/examples/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/main.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/package.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/Makefile
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/large.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/medium.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/runner.c
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/small.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/README.md
deleted file mode 100644
index 3b63a5e9b1a6..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/README.md
+++ /dev/null
@@ -1,175 +0,0 @@
-<!--
-
-@license Apache-2.0
-
-Copyright (c) 2026 The Stdlib Authors.
-
-Licensed under the Apache License, Version 2.0 (the "License");
-you may not use this file except in compliance with the License.
-You may obtain a copy of the License at
-
-   http://www.apache.org/licenses/LICENSE-2.0
-
-Unless required by applicable law or agreed to in writing, software
-distributed under the License is distributed on an "AS IS" BASIS,
-WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-See the License for the specific language governing permissions and
-limitations under the License.
-
--->
-
-# sinti
-
-> Initialize a workspace array for performing a sine transform.
-
-<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
-
-<section class="intro">
-
-</section>
-
-<!-- /.intro -->
-
-<!-- Package usage documentation. -->
-
-<section class="usage">
-
-## Usage
-
-```javascript
-var sinti = require( '@stdlib/fft/base/fftpack/sinti' );
-```
-
-#### sinti( N, workspace, strideW, offsetW )
-
-Initializes a workspace array for performing a sine transform.
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-var floor = require( '@stdlib/math/base/special/floor' );
-
-var N = 7;
-var workspace = new Float64Array( floor( 2.5*N ) + 34 );
-
-var out = sinti( N, workspace, 1, 0 );
-// returns <Float64Array>
-
-var bool = ( out === workspace );
-// returns true
-
-var sineTable = workspace.slice( 0, floor( N/2 ) );
-// returns <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
-
-var twiddleFactors = workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 );
-// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-
-var factors = workspace.slice( floor( 5*N/2 ) + 2, floor( 5*N/2 ) + 2 + 4 );
-// returns <Float64Array>[ 8, 2, 2, 4 ]
-```
-
-The function accepts the following arguments:
-
--   **N**: length of the sequence to transform.
--   **workspace**: workspace array.
--   **strideW**: stride length for `workspace`.
--   **offsetW**: starting index for `workspace`.
-
-</section>
-
-<!-- /.usage -->
-
-<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="notes">
-
-## Notes
-
--   The workspace array is divided into four sections:
-
-    ```text
-          size = N/2          N+1                N+1         2+ceil(log2(N+1)/2)
-               ↓               ↓                  ↓                  ↓
-        | sine table | scratch/workspace | twiddle factors | radix factor table |
-               ↑               ↑                  ↑                  ↑
-    i = 0     ...    N/2      ...     (3N/2)+1   ...     (5N/2)+2   ...
-    ```
-
-    -   **sine table**: a table of precomputed sine coefficients used by sine transforms.
-    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-    -   **radix factor table**: a table containing the sequence length `N+1`, the number of factors into which `N+1` was decomposed, and the individual integer radix factors.
-
--   In general, a workspace array should have `2.5N + 34` indexed elements (as `log2(N+1)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the sine coefficients, twiddle factors, and the factorization of `N+1` are updated.
-
--   The radix factor table is comprised as follows:
-
-    ```text
-    | sequence_length | number_of_factors | integer_factors |
-    ```
-
-</section>
-
-<!-- /.notes -->
-
-<section class="examples">
-
-## Examples
-
-<!-- eslint no-undef: "error" -->
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var sinti = require( '@stdlib/fft/base/fftpack/sinti' );
-
-var N = 7;
-var workspace = new Float64Array( floor( 2.5*N ) + 34 );
-
-sinti( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Sine table:' );
-var idx = zeroTo( floor( N/2 ), 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, floor( N/2 ) ) );
-
-console.log( 'Twiddle factors:' );
-idx = zeroTo( N+1, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ floor( 5*N/2 ) + 3 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( floor( 5*N/2 ) + 4, floor( 5*N/2 ) + 4 + nf ) );
-```
-
-</section>
-
-<!-- /.examples -->
-
-<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="references">
-
-</section>
-
-<!-- /.references -->
-
-<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
-
-<section class="related">
-
-</section>
-
-<!-- /.related -->
-
-<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="links">
-
-</section>
-
-<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/benchmark/benchmark.js
deleted file mode 100644
index a4e586b1414e..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/benchmark/benchmark.js
+++ /dev/null
@@ -1,102 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var bench = require( '@stdlib/bench' );
-var format = require( '@stdlib/string/format' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var Float64Array = require( '@stdlib/array/float64' );
-var pkg = require( './../package.json' ).name;
-var sinti = require( './../lib' );
-
-
-// FUNCTIONS //
-
-/**
-* Creates a benchmark function.
-*
-* @private
-* @param {PositiveInteger} N - sequence length
-* @returns {Function} benchmark function
-*/
-function createBenchmark( N ) {
-	var workspace = new Float64Array( floor( 2.5*N ) + 34 );
-	return benchmark;
-
-	/**
-	* Benchmark function.
-	*
-	* @private
-	* @param {Benchmark} b - benchmark instance
-	*/
-	function benchmark( b ) {
-		var i;
-
-		b.tic();
-		for ( i = 0; i < b.iterations; i++ ) {
-			sinti( N, workspace, 1, 0 );
-			if ( isnan( workspace[ floor( 3*N/2 ) + 1 ] ) ) {
-				b.fail( 'should not return NaN' );
-			}
-		}
-		b.toc();
-		if ( isnan( workspace[ floor( 3*N/2 ) + 1 ] ) ) {
-			b.fail( 'should not return NaN' );
-		}
-		b.pass( 'benchmark finished' );
-		b.end();
-	}
-}
-
-
-// MAIN //
-
-/**
-* Main execution sequence.
-*
-* @private
-*/
-function main() {
-	var lengths;
-	var N;
-	var f;
-	var i;
-
-	lengths = [
-		7,
-		15,
-		31,
-		63,
-		127,
-		255,
-		511,
-		1023
-	];
-
-	for ( i = 0; i < lengths.length; i++ ) {
-		N = lengths[ i ];
-		f = createBenchmark( N );
-		bench( format( '%s:N=%d', pkg, N ), f );
-	}
-}
-
-main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/repl.txt
deleted file mode 100644
index 387fdf2987d4..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/repl.txt
+++ /dev/null
@@ -1,64 +0,0 @@
-
-{{alias}}( N, workspace, strideW, offsetW )
-    Initializes a workspace array for performing a sine transform.
-
-    The workspace array is divided into four sections:
-
-    1. sine table: the section ranges from indices 0 to N/2 and is used to
-    store a table of precomputed sine coefficients used by sine transforms.
-
-    2. scratch/workspace: the section ranges from indices N/2 to 3N/2 and is
-    used while performing transforms. This section is not updated during
-    initialization.
-
-    3. twiddle factors: the section ranges from indices (3N/2)+1 to (5N/2)+1
-    and stores a table of reusable complex exponential constants as cosine/sine
-    pairs.
-
-    4. radix factor table: the section starts at index (5N/2)+2 and stores the
-    sequence length N+1, the number of factors into which N+1 was decomposed,
-    and the individual integer radix factors.
-
-    Any remaining array space remains as unused storage.
-
-    Parameters
-    ----------
-    N: integer
-        Length of the sequence.
-
-    workspace: ArrayLikeObject<number>
-        Workspace array.
-
-    strideW: integer
-        Stride length for `workspace`.
-
-    offsetW: integer
-        Starting index for `workspace`.
-
-    Returns
-    -------
-    out: ArrayLikeObject<number>
-        Workspace array.
-
-    Examples
-    --------
-    > var N = 7;
-    > var len = {{alias:@stdlib/math/base/special/floor}}( 2.5*N ) + 34;
-    > var workspace = new {{alias:@stdlib/array/float64}}( len );
-    > var out = {{alias}}( N, workspace, 1, 0 )
-    <Float64Array>
-    > var bool = ( out === workspace )
-    true
-    > var ns2 = {{alias:@stdlib/math/base/special/floor}}( N/2 );
-    > var sineTable = workspace.slice( 0, ns2 )
-    <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
-    > var iw = ns2 + N + 1;
-    > var twiddleFactors = workspace.slice( iw, iw + (N+1) )
-    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-    > var fw = ns2 + 2*(N+1);
-    > var factors = workspace.slice( fw, fw + 4 )
-    <Float64Array>[ 8, 2, 2, 4 ]
-
-    See Also
-    --------
-
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/types/index.d.ts
deleted file mode 100644
index 58cd8e06ba3d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/types/index.d.ts
+++ /dev/null
@@ -1,65 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-// TypeScript Version: 4.1
-
-/// <reference types="@stdlib/types"/>
-
-import { Collection } from '@stdlib/types/array';
-
-/**
-* Initializes a workspace array for performing a sine transform.
-*
-* ## Notes
-*
-* -   The workspace array should have a length of at least `( 2.5*N ) + 34` elements.
-*
-* @param N - length of the sequence
-* @param workspace - workspace array
-* @param strideW - stride length for `workspace`
-* @param offsetW - starting index for `workspace`
-* @returns workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var floor = require( '@stdlib/math/base/special/floor' );
-*
-* var N = 7;
-* var workspace = new Float64Array( floor( 2.5*N ) + 34 );
-*
-* var out = sinti( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var sineTable = workspace.slice( 0, floor( N/2 ) );
-* // returns <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
-*
-* var twiddleFactors = workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( floor( 5*N/2 ) + 2, floor( 5*N/2 ) + 2 + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-declare function sinti<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
-
-
-// EXPORTS //
-
-export = sinti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/types/test.ts
deleted file mode 100644
index 1cf202c7bbcb..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/docs/types/test.ts
+++ /dev/null
@@ -1,95 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-import floor = require( '@stdlib/math/base/special/floor' );
-import sinti = require( './index' );
-
-
-// TESTS //
-
-// The function returns a collection...
-{
-	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
-
-	sinti( 7, workspace, 1, 0 ); // $ExpectType Float64Array
-}
-
-// The compiler throws an error if the function is provided a first argument which is not a number...
-{
-	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
-
-	sinti( '7', workspace, 1, 0 ); // $ExpectError
-	sinti( true, workspace, 1, 0 ); // $ExpectError
-	sinti( false, workspace, 1, 0 ); // $ExpectError
-	sinti( null, workspace, 1, 0 ); // $ExpectError
-	sinti( void 0, workspace, 1, 0 ); // $ExpectError
-	sinti( [], workspace, 1, 0 ); // $ExpectError
-	sinti( {}, workspace, 1, 0 ); // $ExpectError
-	sinti( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a second argument which is not a collection...
-{
-	sinti( 7, '50', 1, 0 ); // $ExpectError
-	sinti( 7, 50, 1, 0 ); // $ExpectError
-	sinti( 7, true, 1, 0 ); // $ExpectError
-	sinti( 7, false, 1, 0 ); // $ExpectError
-	sinti( 7, null, 1, 0 ); // $ExpectError
-	sinti( 7, void 0, 1, 0 ); // $ExpectError
-	sinti( 7, {}, 1, 0 ); // $ExpectError
-	sinti( 7, ( x: number ): number => x, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a third argument which is not a number...
-{
-	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
-
-	sinti( 7, workspace, '1', 0 ); // $ExpectError
-	sinti( 7, workspace, true, 0 ); // $ExpectError
-	sinti( 7, workspace, false, 0 ); // $ExpectError
-	sinti( 7, workspace, null, 0 ); // $ExpectError
-	sinti( 7, workspace, void 0, 0 ); // $ExpectError
-	sinti( 7, workspace, [], 0 ); // $ExpectError
-	sinti( 7, workspace, {}, 0 ); // $ExpectError
-	sinti( 7, workspace, ( x: number ): number => x, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fourth argument which is not a number...
-{
-	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
-
-	sinti( 7, workspace, 1, '0' ); // $ExpectError
-	sinti( 7, workspace, 1, true ); // $ExpectError
-	sinti( 7, workspace, 1, false ); // $ExpectError
-	sinti( 7, workspace, 1, null ); // $ExpectError
-	sinti( 7, workspace, 1, void 0 ); // $ExpectError
-	sinti( 7, workspace, 1, [] ); // $ExpectError
-	sinti( 7, workspace, 1, {} ); // $ExpectError
-	sinti( 7, workspace, 1, ( x: number ): number => x ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an unsupported number of arguments...
-{
-	const workspace = new Float64Array( floor( 2.5*7 ) + 34 );
-
-	sinti(); // $ExpectError
-	sinti( 7 ); // $ExpectError
-	sinti( 7, workspace ); // $ExpectError
-	sinti( 7, workspace, 1 ); // $ExpectError
-	sinti( 7, workspace, 1, 0, 123 ); // $ExpectError
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/examples/index.js
deleted file mode 100644
index e006767c0961..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/examples/index.js
+++ /dev/null
@@ -1,46 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var sinti = require( './../lib' );
-
-var N = 7;
-var workspace = new Float64Array( floor( 2.5*N ) + 34 );
-
-sinti( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Sine table:' );
-var idx = zeroTo( floor( N/2 ), 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, floor( N/2 ) ) );
-
-console.log( 'Twiddle factors:' );
-idx = zeroTo( N+1, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ floor( 5*N/2 ) + 3 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( floor( 5*N/2 ) + 4, floor( 5*N/2 ) + 4 + nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/index.js
deleted file mode 100644
index 409ddc984fe1..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/index.js
+++ /dev/null
@@ -1,57 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-/**
-* Initialize a workspace array for performing a sine transform.
-*
-* @module @stdlib/fft/base/fftpack/sinti
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var floor = require( '@stdlib/math/base/special/floor' );
-* var sinti = require( '@stdlib/fft/base/fftpack/sinti' );
-*
-* var N = 7;
-* var workspace = new Float64Array( floor( 2.5*N ) + 34 );
-*
-* var out = sinti( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var sineTable = workspace.slice( 0, floor( N/2 ) );
-* // returns <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
-*
-* var twiddleFactors = workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( floor( 5*N/2 ) + 2, floor( 5*N/2 ) + 2 + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-
-// MODULES //
-
-var main = require( './main.js' );
-
-
-// EXPORTS //
-
-module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/main.js
deleted file mode 100644
index 6f3da13cc879..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/lib/main.js
+++ /dev/null
@@ -1,200 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var sin = require( '@stdlib/math/base/special/sin' );
-var PI = require( '@stdlib/constants/float64/pi' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-
-
-// MAIN //
-
-/**
-* Initializes a workspace array for performing a sine transform.
-*
-* ## Notes
-*
-* The workspace array is divided into four sections:
-*
-* ```text
-*       size = N/2         N+1                 N+1         2+ceil(log2(N+1)/2)
-*            ↓              ↓                   ↓                   ↓
-*     | sine table | scratch/workspace | twiddle factors | radix factor table |
-*            ↑              ↑                   ↑                   ↑
-* i = 0     ...   N/2      ...      (3N/2)+1   ...    (5N/2)+2     ...
-* ```
-*
-* where
-*
-* -   **sine table**: a table of precomputed sine coefficients used by sine transforms.
-* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-* -   **radix factor table**: a table containing the radix factorization of `N+1`.
-*
-* In general, a workspace array should have `2.5N + 34` indexed elements (as `log2(N+1)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the sine coefficients, twiddle factors, and the factorization of `N+1` are updated.
-*
-* > Note: FFTPACK only requires `2.5N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
-*
-* The factorization section is comprised as follows:
-*
-* ```text
-* | sequence_length | number_of_factors | integer_factors |
-* ```
-*
-* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
-*
-* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
-*
-* ```tex
-* W_N^k
-* ```
-*
-* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
-*
-* ```tex
-* W_N^k = e^{-2\pi ik/N}
-* ```
-*
-* In a backward FFT,
-*
-* ```tex
-* W_N^k = e^{+2\pi ik/N}
-* ```
-*
-* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform multiplying with `(cos,-sin)` and those performing a backward transform multiplying with `(cos,+sin)`.
-*
-* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
-*
-* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
-*
-* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
-*
-* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
-*
-* During initialization, `sinti` first writes the sine table, and then initializes the remaining three sections using `rffti`.
-*
-* @param {PositiveInteger} N - length of the sequence to transform
-* @param {Collection} workspace - workspace array
-* @param {integer} strideW - stride length for `workspace`
-* @param {NonNegativeInteger} offsetW - starting index for `workspace`
-* @returns {Collection} workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var floor = require( '@stdlib/math/base/special/floor' );
-*
-* var N = 7;
-* var workspace = new Float64Array( floor( 2.5*N ) + 34 );
-*
-* var out = sinti( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var sineTable = workspace.slice( 0, floor( N/2 ) );
-* // returns <Float64Array>[ ~0.765, ~1.414, ~1.848 ]
-*
-* var twiddleFactors = workspace.slice( floor( 3*N/2 ) + 1, floor( 5*N/2 ) + 2 );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( floor( 5*N/2 ) + 2, floor( 5*N/2 ) + 2 + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-function sinti( N, workspace, strideW, offsetW ) {
-	var offsetR;
-	var ns2;
-	var dt;
-	var fk;
-	var iw;
-	var i;
-
-	if ( N <= 1 ) {
-		return workspace;
-	}
-
-	// Compute the number of sine values to store:
-	ns2 = floor( N / 2 );
-
-	// Compute the angular increment:
-	dt = PI / ( N + 1 );
-
-	// Compute and store the sine table:
-	fk = 0.0;
-	iw = offsetW;
-	for ( i = 0; i < ns2; i++ ) {
-		fk += 1.0;
-		workspace[ iw+(i*strideW) ] = sin( fk*dt ) * 2.0;
-	}
-	// Resolve the starting index for the `rffti` workspace:
-	offsetR = offsetW + (ns2*strideW);
-
-	// Initialize the real FFT workspace for a sequence of length N+1:
-	rffti( N+1, workspace, strideW, offsetR );
-
-	return workspace;
-}
-
-
-// EXPORTS //
-
-module.exports = sinti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/package.json
deleted file mode 100644
index a88dc20f43a2..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/package.json
+++ /dev/null
@@ -1,64 +0,0 @@
-{
-  "name": "@stdlib/fft/base/fftpack/sinti",
-  "version": "0.0.0",
-  "description": "Initialize a workspace array for performing a sine transform.",
-  "license": "Apache-2.0",
-  "author": {
-    "name": "The Stdlib Authors",
-    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-  },
-  "contributors": [
-    {
-      "name": "The Stdlib Authors",
-      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-    }
-  ],
-  "main": "./lib",
-  "directories": {
-    "benchmark": "./benchmark",
-    "doc": "./docs",
-    "example": "./examples",
-    "lib": "./lib",
-    "test": "./test"
-  },
-  "types": "./docs/types",
-  "scripts": {},
-  "homepage": "https://github.com/stdlib-js/stdlib",
-  "repository": {
-    "type": "git",
-    "url": "git://github.com/stdlib-js/stdlib.git"
-  },
-  "bugs": {
-    "url": "https://github.com/stdlib-js/stdlib/issues"
-  },
-  "dependencies": {},
-  "devDependencies": {},
-  "engines": {
-    "node": ">=0.10.0",
-    "npm": ">2.7.0"
-  },
-  "os": [
-    "aix",
-    "darwin",
-    "freebsd",
-    "linux",
-    "macos",
-    "openbsd",
-    "sunos",
-    "win32",
-    "windows"
-  ],
-  "keywords": [
-    "stdlib",
-    "fft",
-    "fftpack",
-    "sinti",
-    "fourier",
-    "transform",
-    "twiddle",
-    "workspace",
-    "initialization",
-    "sine"
-  ],
-  "__stdlib__": {}
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/Makefile
deleted file mode 100644
index 7ce16281940d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/Makefile
+++ /dev/null
@@ -1,137 +0,0 @@
-#/
-# @license Apache-2.0
-#
-# Copyright (c) 2026 The Stdlib Authors.
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#    http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-#/
-
-# VARIABLES #
-
-ifndef VERBOSE
-	QUIET := @
-endif
-
-# Specify the path to FFTPACK:
-FFTPACK ?=
-
-# Specify a list of FFTPACK source files:
-FFTPACK_SRC ?=
-
-# Determine the OS:
-#
-# [1]: https://en.wikipedia.org/wiki/Uname#Examples
-# [2]: http://stackoverflow.com/a/27776822/2225624
-OS ?= $(shell uname)
-ifneq (, $(findstring MINGW,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring MSYS,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring CYGWIN,$(OS)))
-	OS := WINNT
-endif
-endif
-endif
-
-# Define the program used for compiling C source files:
-ifdef C_COMPILER
-	CC := $(C_COMPILER)
-else
-	CC := gcc
-endif
-
-# Define the command-line options when compiling C files:
-CFLAGS ?= \
-	-std=c99 \
-	-O3 \
-	-Wall \
-	-pedantic
-
-# Determine whether to generate [position independent code][1]:
-#
-# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
-# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
-ifeq ($(OS), WINNT)
-	fPIC ?=
-else
-	fPIC ?= -fPIC
-endif
-
-# List of C targets:
-c_targets := runner.out
-
-
-# RULES #
-
-#/
-# Compiles C source files.
-#
-# @param {string} [C_COMPILER] - C compiler
-# @param {string} [CFLAGS] - C compiler flags
-# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
-#
-# @example
-# make
-#
-# @example
-# make all
-#/
-all: $(c_targets)
-
-.PHONY: all
-
-#/
-# Compiles C source files.
-#
-# @private
-# @param {string} CC - C compiler
-# @param {string} CFLAGS - C compiler flags
-# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
-#/
-$(c_targets): %.out: %.c
-	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
-
-#/
-# Generates test fixtures.
-#
-# @example
-# make run
-#/
-run: $(c_targets)
-	$(QUIET) ./$<
-
-.PHONY: run
-
-#/
-# Removes generated files.
-#
-# @example
-# make clean
-#/
-clean:
-	$(QUIET) -rm -f *.o *.out
-
-.PHONY: clean
-
-#/
-# Removes generated test fixtures.
-#
-# @example
-# make clean-fixtures
-#/
-clean-fixtures:
-	$(QUIET) -rm -f *.json
-
-.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/large.json
deleted file mode 100644
index 867e4abd85b0..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/large.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/medium.json
deleted file mode 100644
index 5b71d20d3c92..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/medium.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/runner.c
deleted file mode 100644
index 1844165535d8..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/runner.c
+++ /dev/null
@@ -1,304 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-/**
-* Generate FFTPACK test fixtures.
-*
-* ## Notes
-*
-* -   Run this script from the directory in which fixtures should be written.
-*
-*/
-
-#include <stdlib.h>
-#include <stdio.h>
-#include <time.h>
-
-/**
-* Define prototypes for external functions.
-*/
-extern void sinti( int n, double *wsave );
-
-/**
-* Generates a random number on the interval [0,1].
-*
-* @return random number
-*/
-double rand_double( void ) {
-	int r = rand();
-	return (double)r / ( (double)RAND_MAX + 1.0 );
-}
-
-/**
-* Generates an array of pseudorandom integers drawn from a uniform distribution.
-*
-* ## Notes
-*
-* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
-*
-*
-* @param out  output array
-* @param len  array length
-* @param a    lower bound (inclusive)
-* @param b    upper bound (exclusive)
-*/
-void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
-	unsigned int i;
-	unsigned int r;
-	double delta;
-
-	delta = (double)b - (double)a;
-
-	for ( i = 0; i < len; i++ ) {
-		r = (unsigned int)( delta * rand_double() ); // truncation
-		out[ i ] = (int)( a + r );
-	}
-}
-
-/**
-* Writes an array of doubles to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of doubles
-* @param len  array length
-*/
-void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%.17g", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes an array of integers to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of integers
-* @param len  array length
-*/
-void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%d", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes a named array of doubles to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_f64( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes a named array of integers to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_i32( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes data to a file as JSON.
-*
-* ## Notes
-*
-* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
-*
-*
-* @param f          file to write to
-* @param lengths    sequence lengths
-* @param offsets    sine and twiddle offsets
-* @param sines      sine values
-* @param twiddles   twiddle factors
-* @param num        number of sequence lengths
-* @param total      total number of sine and twiddle values
-*/
-void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *sines, const double *twiddles, const unsigned int num, const unsigned int total ) {
-	fprintf( f, "{" );
-	write_named_array_i32( f, "lengths", lengths, num );
-	fprintf( f, "," );
-	write_named_array_i32( f, "offsets", offsets, num );
-	fprintf( f, "," );
-	write_named_array_f64( f, "sines", sines, total );
-	fprintf( f, "," );
-	write_named_array_f64( f, "twiddles", twiddles, total );
-	fprintf( f, "}\n" );
-}
-
-/**
-* Generates test fixtures.
-*
-* @param lengths  sequence lengths
-* @param offsets  sine and twiddle offsets into flat output array
-* @param num      number of sequence lengths
-* @param total    total number of sine and twiddle values
-* @param name     output filename
-*/
-void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
-	unsigned int i;
-	unsigned int j;
-	double *sines;
-	double *twiddles;
-	double *wsave;
-	FILE *f;
-	int off;
-	int n;
-
-	// Allocate an output array for sine values:
-	sines = (double*) calloc( total, sizeof(double) );
-	if ( sines == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Allocate an output array for twiddle factors:
-	twiddles = (double*) calloc( total, sizeof(double) );
-	if ( twiddles == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	for ( i = 0; i < num; i++ ) {
-		n = lengths[ i ];
-		wsave = (double*) calloc( (int)(2.5*n) + 15, sizeof(double) );
-		if ( wsave == NULL ) {
-			printf( "Error allocating memory.\n" );
-			exit( 1 );
-		}
-		sinti( n, wsave );
-
-		// Copy sine region into flat array (N/2 values starting at wsave[0]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)(n/2); j++ ) {
-			sines[ off + j ] = wsave[ j ];
-		}
-
-		// Copy twiddle region into flat array (N+1 values starting at wsave[(n/2)+n+1]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)( n + 1 ); j++ ) {
-			twiddles[ off + j ] = wsave[ ( n/2 ) + n + 1 + j ];
-		}
-		free( wsave );
-	}
-	// Open a new file:
-	f = fopen( name, "w" );
-	if ( f == NULL ) {
-		printf( "Error opening file.\n" );
-		exit( 1 );
-	}
-
-	// Write data as JSON:
-	write_data_as_json( f, lengths, offsets, sines, twiddles, num, total );
-
-	// Close the file:
-	fclose( f );
-
-	// Free allocated memory:
-	free( sines );
-	free( twiddles );
-}
-
-/**
-* Computes offsets into flat sine and twiddle arrays for each sequence length.
-*
-* @param offsets  output array of offsets
-* @param lengths  sequence lengths
-* @param num      number of sequence lengths
-* @return total number of sine and twiddle values
-*/
-unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
-	unsigned int total;
-	unsigned int i;
-
-	total = 0;
-	for ( i = 0; i < num; i++ ) {
-		offsets[ i ] = total;
-		total += lengths[ i ] + 1;
-	}
-	return total;
-}
-
-/**
-* Main execution sequence.
-*/
-int main( void ) {
-	unsigned int total;
-	unsigned int num;
-	int *lengths;
-	int *offsets;
-
-	// Use the current time to seed the random number generator:
-	srand( time( NULL ) );
-
-	// Define the number of sequence lengths per range:
-	num = 10;
-
-	// Allocate arrays:
-	lengths = (int*) malloc( num * sizeof(int) );
-	if ( lengths == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-	offsets = (int*) malloc( num * sizeof(int) );
-	if ( offsets == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	rand_array_i32( lengths, num, 2, 16 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "small.json" );
-
-	rand_array_i32( lengths, num, 16, 128 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "medium.json" );
-
-	rand_array_i32( lengths, num, 128, 1024 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "large.json" );
-
-	// Free allocated memory:
-	free( lengths );
-	free( offsets );
-
-	return 0;
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/small.json
deleted file mode 100644
index dc1e4ec8bbb5..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/fixtures/c/fftpack/small.json
+++ /dev/null
@@ -1 +0,0 @@
-{"lengths":[5,3,6,7,9,7,15,9,11,9],"offsets":[0,6,10,17,25,35,43,59,69,81],"sines":[0.99999999999999989,1.7320508075688772,0,0,0,0,1.4142135623730949,0,0,0,0.86776747823511624,1.5636629649360596,1.9498558243636472,0,0,0,0,0.76536686473017956,1.4142135623730949,1.8477590650225735,0,0,0,0,0,0.61803398874989479,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0,0,0,0,0,0.76536686473017956,1.4142135623730949,1.8477590650225735,0,0,0,0,0,0.3901806440322565,0.76536686473017956,1.1111404660392044,1.4142135623730949,1.6629392246050905,1.8477590650225735,1.9615705608064609,0,0,0,0,0,0,0,0,0,0.61803398874989479,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0,0,0,0,0,0.51763809020504148,0.99999999999999989,1.4142135623730949,1.7320508075688772,1.9318516525781364,0,0,0,0,0,0,0,0.61803398874989479,1.1755705045849463,1.6180339887498949,1.9021130325903071,0,0,0,0,0,0],"twiddles":[0.50000000000000011,0.8660254037844386,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0.92387953251128674,0.38268343236508978,0,0,0.70710678118654757,0.70710678118654746,0,0,0.38268343236508984,0.92387953251128674,0,0,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0,0.86602540378443871,0.49999999999999994,0,0.50000000000000011,0.8660254037844386,0,6.123233995736766e-17,1,0,0,0,0,0.80901699437494745,0.58778525229247314,0.30901699437494745,0.95105651629515353,0,0,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/test.js
deleted file mode 100644
index a6960135d70d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinti/test/test.js
+++ /dev/null
@@ -1,335 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var tape = require( 'tape' );
-var Float64Array = require( '@stdlib/array/float64' );
-var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var sinti = require( './../lib' );
-
-
-// FIXTURES //
-
-var small = require( './fixtures/c/fftpack/small.json' );
-var medium = require( './fixtures/c/fftpack/medium.json' );
-var large = require( './fixtures/c/fftpack/large.json' );
-
-
-// TESTS //
-
-tape( 'main export is a function', function test( t ) {
-	t.ok( true, __filename );
-	t.strictEqual( typeof sinti, 'function', 'main export is a function' );
-	t.end();
-});
-
-tape( 'the function has an arity of 4', function test( t ) {
-	t.strictEqual( sinti.length, 4, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function returns a reference to the workspace array', function test( t ) {
-	var workspace;
-	var out;
-	var N;
-
-	N = 8;
-	workspace = new Float64Array( floor( 2.5*N ) + 34 );
-	out = sinti( N, workspace, 1, 0 );
-
-	t.strictEqual( out, workspace, 'same reference' );
-	t.end();
-});
-
-tape( 'the function correctly initializes sine values (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var ns2;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.sines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		ns2 = floor( N / 2 );
-		workspace = new Float64Array( floor( 2.5*N ) + 34 );
-		sinti( N, workspace, 1, 0 );
-
-		for ( i = 0; i < ns2; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var ns2;
-	var off;
-	var iw;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		ns2 = floor( N / 2 );
-		iw = ns2 + N + 1;
-		workspace = new Float64Array( floor( 2.5*N ) + 34 );
-		sinti( N, workspace, 1, 0 );
-
-		for ( i = 0; i < N+1; i++ ) {
-			y = workspace[ iw + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes sine values (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var ns2;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.sines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		ns2 = floor( N / 2 );
-		workspace = new Float64Array( floor( 2.5*N ) + 34 );
-		sinti( N, workspace, 1, 0 );
-
-		for ( i = 0; i < ns2; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var ns2;
-	var off;
-	var iw;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		ns2 = floor( N / 2 );
-		iw = ns2 + N + 1;
-		workspace = new Float64Array( floor( 2.5*N ) + 34 );
-		sinti( N, workspace, 1, 0 );
-
-		for ( i = 0; i < N+1; i++ ) {
-			y = workspace[ iw + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes sine values (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var ns2;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.sines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		ns2 = floor( N / 2 );
-		workspace = new Float64Array( floor( 2.5*N ) + 34 );
-		sinti( N, workspace, 1, 0 );
-
-		for ( i = 0; i < ns2; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var ns2;
-	var off;
-	var iw;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		ns2 = floor( N / 2 );
-		iw = ns2 + N + 1;
-		workspace = new Float64Array( floor( 2.5*N ) + 34 );
-		sinti( N, workspace, 1, 0 );
-
-		for ( i = 0; i < N+1; i++ ) {
-			y = workspace[ iw + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
-	var workspace;
-	var ns2;
-	var N;
-	var i;
-
-	N = 8;
-	ns2 = floor( N / 2 );
-	workspace = new Float64Array( floor( 2.5*N ) + 34 );
-
-	for ( i = 0; i < workspace.length; i++ ) {
-		workspace[ i ] = i + 1.0;
-	}
-	sinti( N, workspace, 1, 0 );
-	for ( i = ns2; i < ns2 + N + 1; i++ ) {
-		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
-	}
-	t.end();
-});
-
-tape( 'the function correctly handles stride and offset parameters', function test( t ) {
-	var workspace;
-	var expected;
-	var stride;
-	var offset;
-	var ns2;
-	var nf;
-	var iw;
-	var fw;
-	var N;
-	var i;
-
-	N = 9;
-	ns2 = floor( N / 2 );
-	stride = 2;
-	offset = 3;
-	workspace = new Float64Array( offset + ( ( floor( 2.5*N ) + 34 ) * stride ) );
-
-	sinti( N, workspace, stride, offset );
-
-	fw = ns2 + ( 2 * ( N+1 ) );
-	t.strictEqual( workspace[ offset + ( fw * stride ) ], N+1, 'returns expected value' );
-
-	nf = workspace[ offset + ( ( fw+1 ) * stride ) ];
-	t.strictEqual( nf, 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( fw+2 ) * stride ) ], 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( fw+3 ) * stride ) ], 5, 'returns expected value' );
-
-	expected = new Float64Array( floor( 2.5*N ) + 34 );
-	sinti( N, expected, 1, 0 );
-
-	iw = ns2 + N + 1;
-	for ( i = 0; i < N+1; i++ ) {
-		t.strictEqual( workspace[ offset + ( ( iw+i ) * stride ) ], expected[ iw+i ], 'returns expected value' );
-	}
-	t.end();
-});

From aa8d88ec48372b6bd15e03987498f8b9fa75268d Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:38:22 +0530
Subject: [PATCH 25/32] feat: add `fft/base/fftpack/generic/sinqi`

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: passed
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/generic/sinqi/README.md  | 173 ++++++++++
 .../generic/sinqi/benchmark/benchmark.js      | 101 ++++++
 .../base/fftpack/generic/sinqi/docs/repl.txt  |  60 ++++
 .../generic/sinqi/docs/types/index.d.ts       |  64 ++++
 .../fftpack/generic/sinqi/docs/types/test.ts  |  94 ++++++
 .../fftpack/generic/sinqi/examples/index.js   |  45 +++
 .../base/fftpack/generic/sinqi/lib/index.js   |  56 ++++
 .../base/fftpack/generic/sinqi/lib/main.js    | 166 +++++++++
 .../base/fftpack/generic/sinqi/package.json   |  64 ++++
 .../sinqi/test/fixtures/c/fftpack/Makefile    | 137 ++++++++
 .../sinqi/test/fixtures/c/fftpack/large.json  |   1 +
 .../sinqi/test/fixtures/c/fftpack/medium.json |   1 +
 .../sinqi/test/fixtures/c/fftpack/runner.c    | 304 +++++++++++++++++
 .../sinqi/test/fixtures/c/fftpack/small.json  |   1 +
 .../base/fftpack/generic/sinqi/test/test.js   | 314 ++++++++++++++++++
 15 files changed, 1581 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/Makefile
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/large.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/medium.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/runner.c
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/small.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/README.md
new file mode 100644
index 000000000000..7155e4204e17
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/README.md
@@ -0,0 +1,173 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# sinqi
+
+> Initialize a workspace array for performing a quarter-wave sine transform.
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var sinqi = require( '@stdlib/fft/base/fftpack/generic/sinqi' );
+```
+
+#### sinqi( N, workspace, strideW, offsetW )
+
+Initializes a workspace array for performing a quarter-wave sine transform.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var N = 8;
+var workspace = new Float64Array( ( 3*N ) + 34 );
+
+var out = sinqi( N, workspace, 1, 0 );
+// returns <Float64Array>
+
+var bool = ( out === workspace );
+// returns true
+
+var cosineTable = workspace.slice( 0, N );
+// returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+
+var twiddleFactors = workspace.slice( 2*N, 3*N );
+// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+
+var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
+// returns <Float64Array>[ 8, 2, 2, 4 ]
+```
+
+The function accepts the following arguments:
+
+-   **N**: length of the sequence to transform.
+-   **workspace**: workspace array.
+-   **strideW**: stride length for `workspace`.
+-   **offsetW**: starting index for `workspace`.
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   The workspace array is divided into four sections:
+
+    ```text
+            size = N              N                   N          2+ceil(log2(N)/2)
+                ↓                 ↓                   ↓                  ↓
+        | cosine table | scratch / workspace | twiddle factors | radix factor table |
+                ↑                 ↑                   ↑                  ↑
+    i = 0      ...     N         ...        2N       ...      3N        ...
+    ```
+
+    -   **cosine table**: a table of precomputed cosine coefficients used by quarter-wave sine transforms.
+    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+    -   **radix factor table**: a table containing the sequence length `N`, the number of factors into which `N` was decomposed, and the individual integer radix factors.
+
+-   In general, a workspace array should have `3N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N` are updated.
+
+-   The radix factor table is comprised as follows:
+
+    ```text
+    | sequence_length | number_of_factors | integer_factors |
+    ```
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var sinqi = require( '@stdlib/fft/base/fftpack/generic/sinqi' );
+
+var N = 8;
+var workspace = new Float64Array( ( 3*N ) + 34 );
+
+sinqi( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Cosine table:' );
+var idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
+
+console.log( 'Twiddle factors:' );
+idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 2*N, 3*N ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (3*N)+1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( (3*N)+2, (3*N)+2+nf ) );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/benchmark/benchmark.js
new file mode 100644
index 000000000000..6eca980065f6
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/benchmark/benchmark.js
@@ -0,0 +1,101 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var Float64Array = require( '@stdlib/array/float64' );
+var pkg = require( './../package.json' ).name;
+var sinqi = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var workspace = new Float64Array( ( 3*N ) + 34 );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			sinqi( N, workspace, 1, 0 );
+			if ( isnan( workspace[ 2*N ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( workspace[ 2*N ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		8,
+		16,
+		32,
+		64,
+		128,
+		256,
+		512,
+		1024
+	];
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( N );
+		bench( format( '%s:N=%d', pkg, N ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/repl.txt
new file mode 100644
index 000000000000..a1306dd597ab
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/repl.txt
@@ -0,0 +1,60 @@
+
+{{alias}}( N, workspace, strideW, offsetW )
+    Initializes a workspace array for performing a quarter-wave sine transform.
+
+    The workspace array is divided into four sections:
+
+    1. cosine table: the section ranges from indices 0 to N-1 and is used to
+    store a table of precomputed cosine coefficients used by quarter-wave sine
+    transforms.
+
+    2. scratch/workspace: the section ranges from indices N to 2N-1 and is used
+    while performing transforms. This section is not updated during
+    initialization.
+
+    3. twiddle factors: the section ranges from indices 2N to 3N-1 and stores a
+    table of reusable complex exponential constants as cosine/sine pairs.
+
+    4. radix factor table: the section starts at index 3N and stores the
+    sequence length N, the number of factors into which N was decomposed, and
+    the individual integer radix factors.
+
+    Any remaining array space remains as unused storage.
+
+    Parameters
+    ----------
+    N: integer
+        Length of the sequence.
+
+    workspace: ArrayLikeObject<number>
+        Workspace array.
+
+    strideW: integer
+        Stride length for `workspace`.
+
+    offsetW: integer
+        Starting index for `workspace`.
+
+    Returns
+    -------
+    out: ArrayLikeObject<number>
+        Workspace array.
+
+    Examples
+    --------
+    > var N = 8;
+    > var workspace = new {{alias:@stdlib/array/float64}}( ( 3*N ) + 34 );
+    > var out = {{alias}}( N, workspace, 1, 0 )
+    <Float64Array>
+    > var bool = ( out === workspace )
+    true
+    > var cosineTable = workspace.slice( 0, N )
+    <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+    > var twiddleFactors = workspace.slice( 2*N, 3*N )
+    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+    > var factors = workspace.slice( 3*N, ( 3*N ) + 4 )
+    <Float64Array>[ 8, 2, 2, 4 ]
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/types/index.d.ts
new file mode 100644
index 000000000000..6e5a33c1eb91
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/types/index.d.ts
@@ -0,0 +1,64 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Initializes a workspace array for performing a quarter-wave sine transform.
+*
+* ## Notes
+*
+* -   The workspace array should have a length of at least `( 3*N ) + 34` elements.
+*
+* @param N - length of the sequence
+* @param workspace - workspace array
+* @param strideW - stride length for `workspace`
+* @param offsetW - starting index for `workspace`
+* @returns workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 3*N ) + 34 );
+*
+* var out = sinqi( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var cosineTable = workspace.slice( 0, N );
+* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+*
+* var twiddleFactors = workspace.slice( 2*N, 3*N );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+declare function sinqi<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
+
+
+// EXPORTS //
+
+export = sinqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/types/test.ts
new file mode 100644
index 000000000000..d83822498291
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/docs/types/test.ts
@@ -0,0 +1,94 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import sinqi = require( './index' );
+
+
+// TESTS //
+
+// The function returns a collection...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	sinqi( 8, workspace, 1, 0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	sinqi( '8', workspace, 1, 0 ); // $ExpectError
+	sinqi( true, workspace, 1, 0 ); // $ExpectError
+	sinqi( false, workspace, 1, 0 ); // $ExpectError
+	sinqi( null, workspace, 1, 0 ); // $ExpectError
+	sinqi( void 0, workspace, 1, 0 ); // $ExpectError
+	sinqi( [], workspace, 1, 0 ); // $ExpectError
+	sinqi( {}, workspace, 1, 0 ); // $ExpectError
+	sinqi( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a collection...
+{
+	sinqi( 8, '50', 1, 0 ); // $ExpectError
+	sinqi( 8, 50, 1, 0 ); // $ExpectError
+	sinqi( 8, true, 1, 0 ); // $ExpectError
+	sinqi( 8, false, 1, 0 ); // $ExpectError
+	sinqi( 8, null, 1, 0 ); // $ExpectError
+	sinqi( 8, void 0, 1, 0 ); // $ExpectError
+	sinqi( 8, {}, 1, 0 ); // $ExpectError
+	sinqi( 8, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	sinqi( 8, workspace, '1', 0 ); // $ExpectError
+	sinqi( 8, workspace, true, 0 ); // $ExpectError
+	sinqi( 8, workspace, false, 0 ); // $ExpectError
+	sinqi( 8, workspace, null, 0 ); // $ExpectError
+	sinqi( 8, workspace, void 0, 0 ); // $ExpectError
+	sinqi( 8, workspace, [], 0 ); // $ExpectError
+	sinqi( 8, workspace, {}, 0 ); // $ExpectError
+	sinqi( 8, workspace, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	sinqi( 8, workspace, 1, '0' ); // $ExpectError
+	sinqi( 8, workspace, 1, true ); // $ExpectError
+	sinqi( 8, workspace, 1, false ); // $ExpectError
+	sinqi( 8, workspace, 1, null ); // $ExpectError
+	sinqi( 8, workspace, 1, void 0 ); // $ExpectError
+	sinqi( 8, workspace, 1, [] ); // $ExpectError
+	sinqi( 8, workspace, 1, {} ); // $ExpectError
+	sinqi( 8, workspace, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const workspace = new Float64Array( ( 3*8 ) + 34 );
+
+	sinqi(); // $ExpectError
+	sinqi( 8 ); // $ExpectError
+	sinqi( 8, workspace ); // $ExpectError
+	sinqi( 8, workspace, 1 ); // $ExpectError
+	sinqi( 8, workspace, 1, 0, 123 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/examples/index.js
new file mode 100644
index 000000000000..026f750043af
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/examples/index.js
@@ -0,0 +1,45 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var Float64Array = require( '@stdlib/array/float64' );
+var zeroTo = require( '@stdlib/array/zero-to' );
+var logEach = require( '@stdlib/console/log-each' );
+var sinqi = require( './../lib' );
+
+var N = 8;
+var workspace = new Float64Array( ( 3*N ) + 34 );
+
+sinqi( N, workspace, 1, 0 );
+console.log( 'Sequence length: %d', N );
+
+console.log( 'Cosine table:' );
+var idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
+
+console.log( 'Twiddle factors:' );
+idx = zeroTo( N, 'generic' );
+logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 2*N, 3*N ) );
+
+console.log( 'Factorization:' );
+var nf = workspace[ (3*N)+1 ];
+
+console.log( '  number of factors: %d', nf );
+idx = zeroTo( nf, 'generic' );
+logEach( '  factor[ %d ]: %d', idx, workspace.slice( (3*N)+2, (3*N)+2+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/lib/index.js
new file mode 100644
index 000000000000..7de3cc40029c
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/lib/index.js
@@ -0,0 +1,56 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Initialize a workspace array for performing a quarter-wave sine transform.
+*
+* @module @stdlib/fft/base/fftpack/generic/sinqi
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var sinqi = require( '@stdlib/fft/base/fftpack/generic/sinqi' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 3*N ) + 34 );
+*
+* var out = sinqi( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var cosineTable = workspace.slice( 0, N );
+* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+*
+* var twiddleFactors = workspace.slice( 2*N, 3*N );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/lib/main.js
new file mode 100644
index 000000000000..a707e7335ca8
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/lib/main.js
@@ -0,0 +1,166 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var cosqi = require( '@stdlib/fft/base/fftpack/generic/cosqi' );
+
+
+// MAIN //
+
+/**
+* Initializes a workspace array for performing a quarter-wave sine transform.
+*
+* ## Notes
+*
+* The workspace array is divided into four sections:
+*
+* ```text
+*          size = N             N                 N           2+ceil(log2(N)/2)
+*             ↓                 ↓                 ↓                  ↓
+*     | cosine table | scratch/workspace | twiddle factors | radix factor table |
+*             ↑                 ↑                 ↑                  ↑
+* i = 0      ...     N         ...       2N      ...       3N       ...
+* ```
+*
+* where
+*
+* -   **cosine table**: a table of precomputed cosine coefficients used by quarter-wave sine transforms.
+* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+* -   **radix factor table**: a table containing the radix factorization of `N`.
+*
+* In general, a workspace array should have `3N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N` are updated.
+*
+* > Note: FFTPACK only requires `3N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
+*
+* The factorization section is comprised as follows:
+*
+* ```text
+* | sequence_length | number_of_factors | integer_factors |
+* ```
+*
+* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
+*
+* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
+*
+* ```tex
+* W_N^k
+* ```
+*
+* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
+*
+* ```tex
+* W_N^k = e^{-2\pi ik/N}
+* ```
+*
+* In a backward FFT,
+*
+* ```tex
+* W_N^k = e^{+2\pi ik/N}
+* ```
+*
+* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform (e.g., `sinqf`) multiplying with `(cos,-sin)` and those performing a backward transform (e.g., `sinqb`) multiplying with `(cos,+sin)`.
+*
+* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
+*
+* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
+*
+* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
+*
+* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
+*
+* During initialization, `sinqi` first writes the cosine table, and then initializes the remaining three sections using `rffti`.
+*
+* @param {PositiveInteger} N - length of the sequence to transform
+* @param {Collection} workspace - workspace array
+* @param {integer} strideW - stride length for `workspace`
+* @param {NonNegativeInteger} offsetW - starting index for `workspace`
+* @returns {Collection} workspace array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var N = 8;
+* var workspace = new Float64Array( ( 3*N ) + 34 );
+*
+* var out = sinqi( N, workspace, 1, 0 );
+* // returns <Float64Array>
+*
+* var bool = ( out === workspace );
+* // returns true
+*
+* var cosineTable = workspace.slice( 0, N );
+* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+*
+* var twiddleFactors = workspace.slice( 2*N, 3*N );
+* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
+* // returns <Float64Array>[ 8, 2, 2, 4 ]
+*/
+function sinqi( N, workspace, strideW, offsetW ) {
+	return cosqi( N, workspace, strideW, offsetW );
+}
+
+
+// EXPORTS //
+
+module.exports = sinqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/package.json
new file mode 100644
index 000000000000..2473fdb5fc7e
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/package.json
@@ -0,0 +1,64 @@
+{
+  "name": "@stdlib/fft/base/fftpack/generic/sinqi",
+  "version": "0.0.0",
+  "description": "Initialize a workspace array for performing a quarter-wave sine transform.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "fft",
+    "fftpack",
+    "sinqi",
+    "fourier",
+    "transform",
+    "twiddle",
+    "workspace",
+    "initialization",
+    "sine"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/Makefile
new file mode 100644
index 000000000000..7ce16281940d
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/Makefile
@@ -0,0 +1,137 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+endif
+
+# Specify the path to FFTPACK:
+FFTPACK ?=
+
+# Specify a list of FFTPACK source files:
+FFTPACK_SRC ?=
+
+# Determine the OS:
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate [position independent code][1]:
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := runner.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler
+# @param {string} [CFLAGS] - C compiler flags
+# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
+
+#/
+# Generates test fixtures.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
+
+#/
+# Removes generated test fixtures.
+#
+# @example
+# make clean-fixtures
+#/
+clean-fixtures:
+	$(QUIET) -rm -f *.json
+
+.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/large.json
new file mode 100644
index 000000000000..4c3c35410e99
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/large.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/medium.json
new file mode 100644
index 000000000000..f87f8df28cfd
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/medium.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/runner.c
new file mode 100644
index 000000000000..b8206e497ff6
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/runner.c
@@ -0,0 +1,304 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/**
+* Generate FFTPACK test fixtures.
+*
+* ## Notes
+*
+* -   Run this script from the directory in which fixtures should be written.
+*
+*/
+
+#include <stdlib.h>
+#include <stdio.h>
+#include <time.h>
+
+/**
+* Define prototypes for external functions.
+*/
+extern void sinqi( int n, double *wsave );
+
+/**
+* Generates a random number on the interval [0,1].
+*
+* @return random number
+*/
+double rand_double( void ) {
+	int r = rand();
+	return (double)r / ( (double)RAND_MAX + 1.0 );
+}
+
+/**
+* Generates an array of pseudorandom integers drawn from a uniform distribution.
+*
+* ## Notes
+*
+* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
+*
+*
+* @param out  output array
+* @param len  array length
+* @param a    lower bound (inclusive)
+* @param b    upper bound (exclusive)
+*/
+void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
+	unsigned int i;
+	unsigned int r;
+	double delta;
+
+	delta = (double)b - (double)a;
+
+	for ( i = 0; i < len; i++ ) {
+		r = (unsigned int)( delta * rand_double() ); // truncation
+		out[ i ] = (int)( a + r );
+	}
+}
+
+/**
+* Writes an array of doubles to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of doubles
+* @param len  array length
+*/
+void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%.17g", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes an array of integers to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of integers
+* @param len  array length
+*/
+void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%d", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes a named array of doubles to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_f64( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes a named array of integers to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_i32( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes data to a file as JSON.
+*
+* ## Notes
+*
+* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
+*
+*
+* @param f          file to write to
+* @param lengths    sequence lengths
+* @param offsets    cosine and twiddle offsets
+* @param cosines    cosine values
+* @param twiddles   twiddle factors
+* @param num        number of sequence lengths
+* @param total      total number of cosine and twiddle values
+*/
+void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *cosines, const double *twiddles, const unsigned int num, const unsigned int total ) {
+	fprintf( f, "{" );
+	write_named_array_i32( f, "lengths", lengths, num );
+	fprintf( f, "," );
+	write_named_array_i32( f, "offsets", offsets, num );
+	fprintf( f, "," );
+	write_named_array_f64( f, "cosines", cosines, total );
+	fprintf( f, "," );
+	write_named_array_f64( f, "twiddles", twiddles, total );
+	fprintf( f, "}\n" );
+}
+
+/**
+* Generates test fixtures.
+*
+* @param lengths  sequence lengths
+* @param offsets  cosine and twiddle offsets into flat output array
+* @param num      number of sequence lengths
+* @param total    total number of cosine and twiddle values
+* @param name     output filename
+*/
+void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
+	unsigned int i;
+	unsigned int j;
+	double *cosines;
+	double *twiddles;
+	double *wsave;
+	FILE *f;
+	int off;
+	int n;
+
+	// Allocate an output array for cosine values:
+	cosines = (double*) malloc( total * sizeof(double) );
+	if ( cosines == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Allocate an output array for twiddle factors:
+	twiddles = (double*) malloc( total * sizeof(double) );
+	if ( twiddles == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	for ( i = 0; i < num; i++ ) {
+		n = lengths[ i ];
+		wsave = (double*) calloc( 3*n + 15, sizeof(double) );
+		if ( wsave == NULL ) {
+			printf( "Error allocating memory.\n" );
+			exit( 1 );
+		}
+		sinqi( n, wsave );
+
+		// Copy cosine region into flat array (N values starting at wsave[0]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)n; j++ ) {
+			cosines[ off + j ] = wsave[ j ];
+		}
+
+		// Copy twiddle region into flat array (N values starting at wsave[2*n]):
+		off = offsets[ i ];
+		for ( j = 0; j < (unsigned int)n; j++ ) {
+			twiddles[ off + j ] = wsave[ ( 2*n ) + j ];
+		}
+		free( wsave );
+	}
+	// Open a new file:
+	f = fopen( name, "w" );
+	if ( f == NULL ) {
+		printf( "Error opening file.\n" );
+		exit( 1 );
+	}
+
+	// Write data as JSON:
+	write_data_as_json( f, lengths, offsets, cosines, twiddles, num, total );
+
+	// Close the file:
+	fclose( f );
+
+	// Free allocated memory:
+	free( cosines );
+	free( twiddles );
+}
+
+/**
+* Computes offsets into flat cosine and twiddle arrays for each sequence length.
+*
+* @param offsets  output array of offsets
+* @param lengths  sequence lengths
+* @param num      number of sequence lengths
+* @return total number of cosine and twiddle values
+*/
+unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
+	unsigned int total;
+	unsigned int i;
+
+	total = 0;
+	for ( i = 0; i < num; i++ ) {
+		offsets[ i ] = total;
+		total += lengths[ i ];
+	}
+	return total;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	unsigned int total;
+	unsigned int num;
+	int *lengths;
+	int *offsets;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	// Define the number of sequence lengths per range:
+	num = 10;
+
+	// Allocate arrays:
+	lengths = (int*) malloc( num * sizeof(int) );
+	if ( lengths == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+	offsets = (int*) malloc( num * sizeof(int) );
+	if ( offsets == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	rand_array_i32( lengths, num, 2, 16 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "small.json" );
+
+	rand_array_i32( lengths, num, 16, 128 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "medium.json" );
+
+	rand_array_i32( lengths, num, 128, 1024 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "large.json" );
+
+	// Free allocated memory:
+	free( lengths );
+	free( offsets );
+
+	return 0;
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/small.json
new file mode 100644
index 000000000000..3146cddf05bd
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/fixtures/c/fftpack/small.json
@@ -0,0 +1 @@
+{"lengths":[2,2,15,8,8,4,9,6,15,15],"offsets":[0,2,4,19,27,35,39,48,54,69],"cosines":[0.70710678118654757,6.123233995736766e-17,0.70710678118654757,6.123233995736766e-17,0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17,0.98078528040323043,0.92387953251128674,0.83146961230254524,0.70710678118654757,0.55557023301960229,0.38268343236508984,0.19509032201612833,6.123233995736766e-17,0.98078528040323043,0.92387953251128674,0.83146961230254524,0.70710678118654757,0.55557023301960229,0.38268343236508984,0.19509032201612833,6.123233995736766e-17,0.92387953251128674,0.70710678118654757,0.38268343236508984,6.123233995736766e-17,0.98480775301220802,0.93969262078590843,0.86602540378443871,0.76604444311897801,0.64278760968653936,0.50000000000000011,0.34202014332566882,0.17364817766693041,6.123233995736766e-17,0.96592582628906831,0.86602540378443871,0.70710678118654757,0.50000000000000011,0.25881904510252096,6.123233995736766e-17,0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17,0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17],"twiddles":[0,0,0,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0,0,0,0,0.76604444311897801,0.64278760968653925,0,0.17364817766693041,0.98480775301220802,0,0,0,0,0.50000000000000011,0.8660254037844386,0,0,0,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/test.js
new file mode 100644
index 000000000000..61f26b47c8dc
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/sinqi/test/test.js
@@ -0,0 +1,314 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
+var sinqi = require( './../lib' );
+
+
+// FIXTURES //
+
+var small = require( './fixtures/c/fftpack/small.json' );
+var medium = require( './fixtures/c/fftpack/medium.json' );
+var large = require( './fixtures/c/fftpack/large.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof sinqi, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 4', function test( t ) {
+	t.strictEqual( sinqi.length, 4, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns a reference to the workspace array', function test( t ) {
+	var workspace;
+	var out;
+	var N;
+
+	N = 8;
+	workspace = new Float64Array( ( 3*N ) + 34 );
+	out = sinqi( N, workspace, 1, 0 );
+
+	t.strictEqual( out, workspace, 'same reference' );
+	t.end();
+});
+
+tape( 'the function correctly initializes cosine values (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.cosines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		sinqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	expected = small.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		sinqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ (2*N) + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes cosine values (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.cosines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		sinqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	expected = medium.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		sinqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ (2*N) + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes cosine values (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.cosines;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		sinqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
+	var workspace;
+	var expected;
+	var lengths;
+	var offsets;
+	var ulps;
+	var off;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	expected = large.twiddles;
+
+	ulps = 1;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		workspace = new Float64Array( ( 3*N ) + 34 );
+		sinqi( N, workspace, 1, 0 );
+
+		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
+		for ( i = 0; i < N; i++ ) {
+			y = workspace[ (2*N) + i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
+	var workspace;
+	var N;
+	var i;
+
+	N = 8;
+	workspace = new Float64Array( ( 3*N ) + 34 );
+
+	for ( i = 0; i < workspace.length; i++ ) {
+		workspace[ i ] = i + 1.0;
+	}
+	sinqi( N, workspace, 1, 0 );
+	for ( i = N; i < 2*N; i++ ) {
+		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'the function correctly handles stride and offset parameters', function test( t ) {
+	var workspace;
+	var expected;
+	var stride;
+	var offset;
+	var nf;
+	var N;
+	var i;
+
+	N = 8;
+	stride = 2;
+	offset = 3;
+	workspace = new Float64Array( offset + ( ( ( 3*N ) + 34 ) * stride ) );
+
+	sinqi( N, workspace, stride, offset );
+
+	t.strictEqual( workspace[ offset + ( 3*N * stride ) ], N, 'returns expected value' );
+
+	nf = workspace[ offset + ( ( ( 3*N ) + 1 ) * stride ) ];
+	t.strictEqual( nf, 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( ( 3*N ) + 2 ) * stride ) ], 2, 'returns expected value' );
+	t.strictEqual( workspace[ offset + ( ( ( 3*N ) + 3 ) * stride ) ], 4, 'returns expected value' );
+
+	expected = new Float64Array( ( 3*N ) + 34 );
+	sinqi( N, expected, 1, 0 );
+
+	for ( i = 0; i < N; i++ ) {
+		t.strictEqual( workspace[ offset + ( ( (2*N)+i ) * stride ) ], expected[ (2*N)+i ], 'returns expected value' );
+	}
+	t.end();
+});

From 775feb81f8f50e7d428a92a0cafd06fe8a3b494b Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:40:24 +0530
Subject: [PATCH 26/32] remove: remove `sinqi` from namespace

This commit removes the `sinqi` symbol from the
`@stdlib/fft/base/fftpack` namespace due to a package migration.

BREAKING CHANGE: remove `sinqi`

To migrate, users should access the same symbol via the
`@stdlib/fft/base/fftpack/generic` namespace.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/docs/types/index.d.ts    | 40 +------------------
 .../@stdlib/fft/base/fftpack/lib/index.js     | 14 -------
 2 files changed, 1 insertion(+), 53 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
index 5f86cda414ec..68931f1b7d93 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/docs/types/index.d.ts
@@ -20,48 +20,10 @@
 
 /* eslint-disable max-lines */
 
-import sinqi = require( '@stdlib/fft/base/fftpack/sinqi' );
-
 /**
 * Interface describing the `fftpack` namespace.
 */
-interface Namespace {
-
-	/**
-	* Initializes a workspace array for performing a quarter-wave sine transform.
-	*
-	* ## Notes
-	*
-	* -   The workspace array should have a length of at least `( 3*N ) + 34` elements.
-	*
-	* @param N - length of the sequence
-	* @param workspace - workspace array
-	* @param strideW - stride length for `workspace`
-	* @param offsetW - starting index for `workspace`
-	* @returns workspace array
-	*
-	* @example
-	* var Float64Array = require( '@stdlib/array/float64' );
-	*
-	* var N = 8;
-	* var workspace = new Float64Array( ( 3*N ) + 34 );
-	*
-	* var out = ns.sinqi( N, workspace, 1, 0 );
-	* // returns <Float64Array>
-	*
-	* var bool = ( out === workspace );
-	* // returns true
-	*
-	* var cosineTable = workspace.slice( 0, N );
-	* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-	*
-	* var twiddleFactors = workspace.slice( 2*N, 3*N );
-	* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-	*
-	* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-	* // returns <Float64Array>[ 8, 2, 2, 4 ]
-	*/
-	sinqi: typeof sinqi;
+interface Namespace { // eslint-disable-line @typescript-eslint/no-empty-interface
 }
 
 /**
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
index eba174a0e3b3..2058ecf7f6ad 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/lib/index.js
@@ -26,11 +26,6 @@
 * The following modules are intentionally not exported: tools
 */
 
-// MODULES //
-
-var setReadOnly = require( '@stdlib/utils/define-read-only-property' );
-
-
 // MAIN //
 
 /**
@@ -40,15 +35,6 @@ var setReadOnly = require( '@stdlib/utils/define-read-only-property' );
 */
 var ns = {};
 
-/**
-* @name sinqi
-* @memberof ns
-* @readonly
-* @type {Function}
-* @see {@link module:@stdlib/fft/base/fftpack/sinqi}
-*/
-setReadOnly( ns, 'sinqi', require( '@stdlib/fft/base/fftpack/sinqi' ) );
-
 
 // EXPORTS //
 

From f1b72f1a7a03f0077a158c7f43b1f275a60213ee Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:41:14 +0530
Subject: [PATCH 27/32] refactor: update paths

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 lib/node_modules/@stdlib/fft/base/fftpack/README.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
index 52c597e571e3..5914db6d1fbd 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/README.md
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/README.md
@@ -48,7 +48,7 @@ var o = ns;
 -   <span class="signature">[`costi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/costi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a cosine transform.</span>
 -   <span class="signature">[`decompose( N, M, initial, si, oi, out, so, oo )`][@stdlib/fft/base/fftpack/decompose]</span><span class="delimiter">: </span><span class="description">factorize a sequence length into a product of integers.</span>
 -   <span class="signature">[`rffti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/rffti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a real-valued Fourier transform.</span>
--   <span class="signature">[`sinqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/sinqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave sine transform.</span>
+-   <span class="signature">[`sinqi( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/sinqi]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a quarter-wave sine transform.</span>
 -   <span class="signature">[`sinti( N, workspace, strideW, offsetW )`][@stdlib/fft/base/fftpack/generic/sinti]</span><span class="delimiter">: </span><span class="description">initialize a workspace array for performing a sine transform.</span>
 
 </div>
@@ -102,7 +102,7 @@ console.log( objectKeys( ns ) );
 
 [@stdlib/fft/base/fftpack/generic/rffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/rffti
 
-[@stdlib/fft/base/fftpack/sinqi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/sinqi
+[@stdlib/fft/base/fftpack/generic/sinqi]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/sinqi
 
 [@stdlib/fft/base/fftpack/generic/sinti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/sinti
 

From 6e47575cf131a154aad1a1321ccbe078ec7cb8c1 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:41:31 +0530
Subject: [PATCH 28/32] remove: remove `fft/base/fftpack/sinqi`

This commit removes `@stdlib/fft/base/fftpack/sinqi` in favor of
`@stdlib/fft/base/fftpack/generic/sinqi`.

BREAKING CHANGE: remove `fft/base/fftpack/sinqi`

To migrate, users should update their require/import paths to use
`@stdlib/fft/base/fftpack/generic/sinqi` which provides the same API and implementation.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../@stdlib/fft/base/fftpack/sinqi/README.md  | 173 ----------
 .../base/fftpack/sinqi/benchmark/benchmark.js | 101 ------
 .../fft/base/fftpack/sinqi/docs/repl.txt      |  60 ----
 .../base/fftpack/sinqi/docs/types/index.d.ts  |  64 ----
 .../fft/base/fftpack/sinqi/docs/types/test.ts |  94 ------
 .../fft/base/fftpack/sinqi/examples/index.js  |  45 ---
 .../fft/base/fftpack/sinqi/lib/index.js       |  56 ----
 .../fft/base/fftpack/sinqi/lib/main.js        | 166 ---------
 .../fft/base/fftpack/sinqi/package.json       |  64 ----
 .../sinqi/test/fixtures/c/fftpack/Makefile    | 137 --------
 .../sinqi/test/fixtures/c/fftpack/large.json  |   1 -
 .../sinqi/test/fixtures/c/fftpack/medium.json |   1 -
 .../sinqi/test/fixtures/c/fftpack/runner.c    | 304 -----------------
 .../sinqi/test/fixtures/c/fftpack/small.json  |   1 -
 .../fft/base/fftpack/sinqi/test/test.js       | 314 ------------------
 15 files changed, 1581 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/README.md
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/benchmark/benchmark.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/repl.txt
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/types/index.d.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/types/test.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/examples/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/main.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/package.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/Makefile
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/large.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/medium.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/runner.c
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/small.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/README.md
deleted file mode 100644
index 7b08061e0f11..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/README.md
+++ /dev/null
@@ -1,173 +0,0 @@
-<!--
-
-@license Apache-2.0
-
-Copyright (c) 2026 The Stdlib Authors.
-
-Licensed under the Apache License, Version 2.0 (the "License");
-you may not use this file except in compliance with the License.
-You may obtain a copy of the License at
-
-   http://www.apache.org/licenses/LICENSE-2.0
-
-Unless required by applicable law or agreed to in writing, software
-distributed under the License is distributed on an "AS IS" BASIS,
-WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-See the License for the specific language governing permissions and
-limitations under the License.
-
--->
-
-# sinqi
-
-> Initialize a workspace array for performing a quarter-wave sine transform.
-
-<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
-
-<section class="intro">
-
-</section>
-
-<!-- /.intro -->
-
-<!-- Package usage documentation. -->
-
-<section class="usage">
-
-## Usage
-
-```javascript
-var sinqi = require( '@stdlib/fft/base/fftpack/sinqi' );
-```
-
-#### sinqi( N, workspace, strideW, offsetW )
-
-Initializes a workspace array for performing a quarter-wave sine transform.
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-
-var N = 8;
-var workspace = new Float64Array( ( 3*N ) + 34 );
-
-var out = sinqi( N, workspace, 1, 0 );
-// returns <Float64Array>
-
-var bool = ( out === workspace );
-// returns true
-
-var cosineTable = workspace.slice( 0, N );
-// returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-
-var twiddleFactors = workspace.slice( 2*N, 3*N );
-// returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-
-var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-// returns <Float64Array>[ 8, 2, 2, 4 ]
-```
-
-The function accepts the following arguments:
-
--   **N**: length of the sequence to transform.
--   **workspace**: workspace array.
--   **strideW**: stride length for `workspace`.
--   **offsetW**: starting index for `workspace`.
-
-</section>
-
-<!-- /.usage -->
-
-<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="notes">
-
-## Notes
-
--   The workspace array is divided into four sections:
-
-    ```text
-            size = N              N                   N          2+ceil(log2(N)/2)
-                ↓                 ↓                   ↓                  ↓
-        | cosine table | scratch / workspace | twiddle factors | radix factor table |
-                ↑                 ↑                   ↑                  ↑
-    i = 0      ...     N         ...        2N       ...      3N        ...
-    ```
-
-    -   **cosine table**: a table of precomputed cosine coefficients used by quarter-wave sine transforms.
-    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-    -   **radix factor table**: a table containing the sequence length `N`, the number of factors into which `N` was decomposed, and the individual integer radix factors.
-
--   In general, a workspace array should have `3N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N` are updated.
-
--   The radix factor table is comprised as follows:
-
-    ```text
-    | sequence_length | number_of_factors | integer_factors |
-    ```
-
-</section>
-
-<!-- /.notes -->
-
-<section class="examples">
-
-## Examples
-
-<!-- eslint no-undef: "error" -->
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var sinqi = require( '@stdlib/fft/base/fftpack/sinqi' );
-
-var N = 8;
-var workspace = new Float64Array( ( 3*N ) + 34 );
-
-sinqi( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Cosine table:' );
-var idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
-
-console.log( 'Twiddle factors:' );
-idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 2*N, 3*N ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (3*N)+1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( (3*N)+2, (3*N)+2+nf ) );
-```
-
-</section>
-
-<!-- /.examples -->
-
-<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="references">
-
-</section>
-
-<!-- /.references -->
-
-<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
-
-<section class="related">
-
-</section>
-
-<!-- /.related -->
-
-<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="links">
-
-</section>
-
-<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/benchmark/benchmark.js
deleted file mode 100644
index 6eca980065f6..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/benchmark/benchmark.js
+++ /dev/null
@@ -1,101 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var bench = require( '@stdlib/bench' );
-var format = require( '@stdlib/string/format' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var Float64Array = require( '@stdlib/array/float64' );
-var pkg = require( './../package.json' ).name;
-var sinqi = require( './../lib' );
-
-
-// FUNCTIONS //
-
-/**
-* Creates a benchmark function.
-*
-* @private
-* @param {PositiveInteger} N - sequence length
-* @returns {Function} benchmark function
-*/
-function createBenchmark( N ) {
-	var workspace = new Float64Array( ( 3*N ) + 34 );
-	return benchmark;
-
-	/**
-	* Benchmark function.
-	*
-	* @private
-	* @param {Benchmark} b - benchmark instance
-	*/
-	function benchmark( b ) {
-		var i;
-
-		b.tic();
-		for ( i = 0; i < b.iterations; i++ ) {
-			sinqi( N, workspace, 1, 0 );
-			if ( isnan( workspace[ 2*N ] ) ) {
-				b.fail( 'should not return NaN' );
-			}
-		}
-		b.toc();
-		if ( isnan( workspace[ 2*N ] ) ) {
-			b.fail( 'should not return NaN' );
-		}
-		b.pass( 'benchmark finished' );
-		b.end();
-	}
-}
-
-
-// MAIN //
-
-/**
-* Main execution sequence.
-*
-* @private
-*/
-function main() {
-	var lengths;
-	var N;
-	var f;
-	var i;
-
-	lengths = [
-		8,
-		16,
-		32,
-		64,
-		128,
-		256,
-		512,
-		1024
-	];
-
-	for ( i = 0; i < lengths.length; i++ ) {
-		N = lengths[ i ];
-		f = createBenchmark( N );
-		bench( format( '%s:N=%d', pkg, N ), f );
-	}
-}
-
-main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/repl.txt
deleted file mode 100644
index a1306dd597ab..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/repl.txt
+++ /dev/null
@@ -1,60 +0,0 @@
-
-{{alias}}( N, workspace, strideW, offsetW )
-    Initializes a workspace array for performing a quarter-wave sine transform.
-
-    The workspace array is divided into four sections:
-
-    1. cosine table: the section ranges from indices 0 to N-1 and is used to
-    store a table of precomputed cosine coefficients used by quarter-wave sine
-    transforms.
-
-    2. scratch/workspace: the section ranges from indices N to 2N-1 and is used
-    while performing transforms. This section is not updated during
-    initialization.
-
-    3. twiddle factors: the section ranges from indices 2N to 3N-1 and stores a
-    table of reusable complex exponential constants as cosine/sine pairs.
-
-    4. radix factor table: the section starts at index 3N and stores the
-    sequence length N, the number of factors into which N was decomposed, and
-    the individual integer radix factors.
-
-    Any remaining array space remains as unused storage.
-
-    Parameters
-    ----------
-    N: integer
-        Length of the sequence.
-
-    workspace: ArrayLikeObject<number>
-        Workspace array.
-
-    strideW: integer
-        Stride length for `workspace`.
-
-    offsetW: integer
-        Starting index for `workspace`.
-
-    Returns
-    -------
-    out: ArrayLikeObject<number>
-        Workspace array.
-
-    Examples
-    --------
-    > var N = 8;
-    > var workspace = new {{alias:@stdlib/array/float64}}( ( 3*N ) + 34 );
-    > var out = {{alias}}( N, workspace, 1, 0 )
-    <Float64Array>
-    > var bool = ( out === workspace )
-    true
-    > var cosineTable = workspace.slice( 0, N )
-    <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-    > var twiddleFactors = workspace.slice( 2*N, 3*N )
-    <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-    > var factors = workspace.slice( 3*N, ( 3*N ) + 4 )
-    <Float64Array>[ 8, 2, 2, 4 ]
-
-    See Also
-    --------
-
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/types/index.d.ts
deleted file mode 100644
index 6e5a33c1eb91..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/types/index.d.ts
+++ /dev/null
@@ -1,64 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-// TypeScript Version: 4.1
-
-/// <reference types="@stdlib/types"/>
-
-import { Collection } from '@stdlib/types/array';
-
-/**
-* Initializes a workspace array for performing a quarter-wave sine transform.
-*
-* ## Notes
-*
-* -   The workspace array should have a length of at least `( 3*N ) + 34` elements.
-*
-* @param N - length of the sequence
-* @param workspace - workspace array
-* @param strideW - stride length for `workspace`
-* @param offsetW - starting index for `workspace`
-* @returns workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 3*N ) + 34 );
-*
-* var out = sinqi( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var cosineTable = workspace.slice( 0, N );
-* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-*
-* var twiddleFactors = workspace.slice( 2*N, 3*N );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-declare function sinqi<T extends Collection<number>>( N: number, workspace: T, strideW: number, offsetW: number ): T;
-
-
-// EXPORTS //
-
-export = sinqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/types/test.ts
deleted file mode 100644
index d83822498291..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/docs/types/test.ts
+++ /dev/null
@@ -1,94 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-import sinqi = require( './index' );
-
-
-// TESTS //
-
-// The function returns a collection...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	sinqi( 8, workspace, 1, 0 ); // $ExpectType Float64Array
-}
-
-// The compiler throws an error if the function is provided a first argument which is not a number...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	sinqi( '8', workspace, 1, 0 ); // $ExpectError
-	sinqi( true, workspace, 1, 0 ); // $ExpectError
-	sinqi( false, workspace, 1, 0 ); // $ExpectError
-	sinqi( null, workspace, 1, 0 ); // $ExpectError
-	sinqi( void 0, workspace, 1, 0 ); // $ExpectError
-	sinqi( [], workspace, 1, 0 ); // $ExpectError
-	sinqi( {}, workspace, 1, 0 ); // $ExpectError
-	sinqi( ( x: number ): number => x, workspace, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a second argument which is not a collection...
-{
-	sinqi( 8, '50', 1, 0 ); // $ExpectError
-	sinqi( 8, 50, 1, 0 ); // $ExpectError
-	sinqi( 8, true, 1, 0 ); // $ExpectError
-	sinqi( 8, false, 1, 0 ); // $ExpectError
-	sinqi( 8, null, 1, 0 ); // $ExpectError
-	sinqi( 8, void 0, 1, 0 ); // $ExpectError
-	sinqi( 8, {}, 1, 0 ); // $ExpectError
-	sinqi( 8, ( x: number ): number => x, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a third argument which is not a number...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	sinqi( 8, workspace, '1', 0 ); // $ExpectError
-	sinqi( 8, workspace, true, 0 ); // $ExpectError
-	sinqi( 8, workspace, false, 0 ); // $ExpectError
-	sinqi( 8, workspace, null, 0 ); // $ExpectError
-	sinqi( 8, workspace, void 0, 0 ); // $ExpectError
-	sinqi( 8, workspace, [], 0 ); // $ExpectError
-	sinqi( 8, workspace, {}, 0 ); // $ExpectError
-	sinqi( 8, workspace, ( x: number ): number => x, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fourth argument which is not a number...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	sinqi( 8, workspace, 1, '0' ); // $ExpectError
-	sinqi( 8, workspace, 1, true ); // $ExpectError
-	sinqi( 8, workspace, 1, false ); // $ExpectError
-	sinqi( 8, workspace, 1, null ); // $ExpectError
-	sinqi( 8, workspace, 1, void 0 ); // $ExpectError
-	sinqi( 8, workspace, 1, [] ); // $ExpectError
-	sinqi( 8, workspace, 1, {} ); // $ExpectError
-	sinqi( 8, workspace, 1, ( x: number ): number => x ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an unsupported number of arguments...
-{
-	const workspace = new Float64Array( ( 3*8 ) + 34 );
-
-	sinqi(); // $ExpectError
-	sinqi( 8 ); // $ExpectError
-	sinqi( 8, workspace ); // $ExpectError
-	sinqi( 8, workspace, 1 ); // $ExpectError
-	sinqi( 8, workspace, 1, 0, 123 ); // $ExpectError
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/examples/index.js
deleted file mode 100644
index 026f750043af..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/examples/index.js
+++ /dev/null
@@ -1,45 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-var Float64Array = require( '@stdlib/array/float64' );
-var zeroTo = require( '@stdlib/array/zero-to' );
-var logEach = require( '@stdlib/console/log-each' );
-var sinqi = require( './../lib' );
-
-var N = 8;
-var workspace = new Float64Array( ( 3*N ) + 34 );
-
-sinqi( N, workspace, 1, 0 );
-console.log( 'Sequence length: %d', N );
-
-console.log( 'Cosine table:' );
-var idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 0, N ) );
-
-console.log( 'Twiddle factors:' );
-idx = zeroTo( N, 'generic' );
-logEach( '  workspace[ %d ] = %0.4f', idx, workspace.slice( 2*N, 3*N ) );
-
-console.log( 'Factorization:' );
-var nf = workspace[ (3*N)+1 ];
-
-console.log( '  number of factors: %d', nf );
-idx = zeroTo( nf, 'generic' );
-logEach( '  factor[ %d ]: %d', idx, workspace.slice( (3*N)+2, (3*N)+2+nf ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/index.js
deleted file mode 100644
index 10f4e9017dd2..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/index.js
+++ /dev/null
@@ -1,56 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-/**
-* Initialize a workspace array for performing a quarter-wave sine transform.
-*
-* @module @stdlib/fft/base/fftpack/sinqi
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var sinqi = require( '@stdlib/fft/base/fftpack/sinqi' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 3*N ) + 34 );
-*
-* var out = sinqi( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var cosineTable = workspace.slice( 0, N );
-* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-*
-* var twiddleFactors = workspace.slice( 2*N, 3*N );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-
-// MODULES //
-
-var main = require( './main.js' );
-
-
-// EXPORTS //
-
-module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/main.js
deleted file mode 100644
index a707e7335ca8..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/lib/main.js
+++ /dev/null
@@ -1,166 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var cosqi = require( '@stdlib/fft/base/fftpack/generic/cosqi' );
-
-
-// MAIN //
-
-/**
-* Initializes a workspace array for performing a quarter-wave sine transform.
-*
-* ## Notes
-*
-* The workspace array is divided into four sections:
-*
-* ```text
-*          size = N             N                 N           2+ceil(log2(N)/2)
-*             ↓                 ↓                 ↓                  ↓
-*     | cosine table | scratch/workspace | twiddle factors | radix factor table |
-*             ↑                 ↑                 ↑                  ↑
-* i = 0      ...     N         ...       2N      ...       3N       ...
-* ```
-*
-* where
-*
-* -   **cosine table**: a table of precomputed cosine coefficients used by quarter-wave sine transforms.
-* -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
-* -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
-* -   **radix factor table**: a table containing the radix factorization of `N`.
-*
-* In general, a workspace array should have `3N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N` are updated.
-*
-* > Note: FFTPACK only requires `3N+15`, but we increase that number here to accommodate larger workspace arrays, where `N` may exceed `2^30` indexed elements.
-*
-* The factorization section is comprised as follows:
-*
-* ```text
-* | sequence_length | number_of_factors | integer_factors |
-* ```
-*
-* The sequence length and number of factors (`nf`) comprise a single element each. Only the first `nf` elements in the integer factors section are written to, with the rest being unused.
-*
-* As for twiddle factors, these are small, reusable complex-exponential constants that appear inside each "butterfly" stage of a Cooley–Tukey–style FFT. Every arithmetic step in an FFT multiplies one intermediate value by some
-*
-* ```tex
-* W_N^k
-* ```
-*
-* where `W_N^k` is an N-th root of unity. Formally, in a forward FFT,
-*
-* ```tex
-* W_N^k = e^{-2\pi ik/N}
-* ```
-*
-* In a backward FFT,
-*
-* ```tex
-* W_N^k = e^{+2\pi ik/N}
-* ```
-*
-* As may be observed, `W_N^k` for forward and backward FFTs is the same, except the sign of the exponent is flipped. As a consequence, both forward and backward FFT callers can reuse the same set of twiddle factors, with those performing a forward transform (e.g., `sinqf`) multiplying with `(cos,-sin)` and those performing a backward transform (e.g., `sinqb`) multiplying with `(cos,+sin)`.
-*
-* Because these constants only depend on the transform length `N` (and **not** on the input data), we can pre-compute and store them once, then "twiddle" them (i.e., reuse them with different indices) as we proceed through the factorization.
-*
-* > As a quick aside regarding the name "twiddle", early FFT papers (notably Gentleman & Sande, 1966) described how you "twiddle" one branch of each butterfly by a complex rotation before adding/subtracting. The coefficients themselves inherited the nickname "twiddle factors," and the term stuck.
-*
-* By reusing the workspace array when computing multiple transforms of the same length `N`, every subsequent `*f` (forward) or `*b` (backward) call can simply look up the pre-stored twiddle factors instead of recomputing sine and cosine on-the-fly.
-*
-* In short, twiddle factors are cached roots of unity that allow each stage of the algorithm to rotate data quickly and predictably.
-*
-* During initialization, `sinqi` first writes the cosine table, and then initializes the remaining three sections using `rffti`.
-*
-* @param {PositiveInteger} N - length of the sequence to transform
-* @param {Collection} workspace - workspace array
-* @param {integer} strideW - stride length for `workspace`
-* @param {NonNegativeInteger} offsetW - starting index for `workspace`
-* @returns {Collection} workspace array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-*
-* var N = 8;
-* var workspace = new Float64Array( ( 3*N ) + 34 );
-*
-* var out = sinqi( N, workspace, 1, 0 );
-* // returns <Float64Array>
-*
-* var bool = ( out === workspace );
-* // returns true
-*
-* var cosineTable = workspace.slice( 0, N );
-* // returns <Float64Array>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
-*
-* var twiddleFactors = workspace.slice( 2*N, 3*N );
-* // returns <Float64Array>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = workspace.slice( 3*N, ( 3*N ) + 4 );
-* // returns <Float64Array>[ 8, 2, 2, 4 ]
-*/
-function sinqi( N, workspace, strideW, offsetW ) {
-	return cosqi( N, workspace, strideW, offsetW );
-}
-
-
-// EXPORTS //
-
-module.exports = sinqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/package.json
deleted file mode 100644
index 5fbd52d43769..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/package.json
+++ /dev/null
@@ -1,64 +0,0 @@
-{
-  "name": "@stdlib/fft/base/fftpack/sinqi",
-  "version": "0.0.0",
-  "description": "Initialize a workspace array for performing a quarter-wave sine transform.",
-  "license": "Apache-2.0",
-  "author": {
-    "name": "The Stdlib Authors",
-    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-  },
-  "contributors": [
-    {
-      "name": "The Stdlib Authors",
-      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-    }
-  ],
-  "main": "./lib",
-  "directories": {
-    "benchmark": "./benchmark",
-    "doc": "./docs",
-    "example": "./examples",
-    "lib": "./lib",
-    "test": "./test"
-  },
-  "types": "./docs/types",
-  "scripts": {},
-  "homepage": "https://github.com/stdlib-js/stdlib",
-  "repository": {
-    "type": "git",
-    "url": "git://github.com/stdlib-js/stdlib.git"
-  },
-  "bugs": {
-    "url": "https://github.com/stdlib-js/stdlib/issues"
-  },
-  "dependencies": {},
-  "devDependencies": {},
-  "engines": {
-    "node": ">=0.10.0",
-    "npm": ">2.7.0"
-  },
-  "os": [
-    "aix",
-    "darwin",
-    "freebsd",
-    "linux",
-    "macos",
-    "openbsd",
-    "sunos",
-    "win32",
-    "windows"
-  ],
-  "keywords": [
-    "stdlib",
-    "fft",
-    "fftpack",
-    "sinqi",
-    "fourier",
-    "transform",
-    "twiddle",
-    "workspace",
-    "initialization",
-    "sine"
-  ],
-  "__stdlib__": {}
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/Makefile
deleted file mode 100644
index 7ce16281940d..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/Makefile
+++ /dev/null
@@ -1,137 +0,0 @@
-#/
-# @license Apache-2.0
-#
-# Copyright (c) 2026 The Stdlib Authors.
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#    http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-#/
-
-# VARIABLES #
-
-ifndef VERBOSE
-	QUIET := @
-endif
-
-# Specify the path to FFTPACK:
-FFTPACK ?=
-
-# Specify a list of FFTPACK source files:
-FFTPACK_SRC ?=
-
-# Determine the OS:
-#
-# [1]: https://en.wikipedia.org/wiki/Uname#Examples
-# [2]: http://stackoverflow.com/a/27776822/2225624
-OS ?= $(shell uname)
-ifneq (, $(findstring MINGW,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring MSYS,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring CYGWIN,$(OS)))
-	OS := WINNT
-endif
-endif
-endif
-
-# Define the program used for compiling C source files:
-ifdef C_COMPILER
-	CC := $(C_COMPILER)
-else
-	CC := gcc
-endif
-
-# Define the command-line options when compiling C files:
-CFLAGS ?= \
-	-std=c99 \
-	-O3 \
-	-Wall \
-	-pedantic
-
-# Determine whether to generate [position independent code][1]:
-#
-# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
-# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
-ifeq ($(OS), WINNT)
-	fPIC ?=
-else
-	fPIC ?= -fPIC
-endif
-
-# List of C targets:
-c_targets := runner.out
-
-
-# RULES #
-
-#/
-# Compiles C source files.
-#
-# @param {string} [C_COMPILER] - C compiler
-# @param {string} [CFLAGS] - C compiler flags
-# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
-#
-# @example
-# make
-#
-# @example
-# make all
-#/
-all: $(c_targets)
-
-.PHONY: all
-
-#/
-# Compiles C source files.
-#
-# @private
-# @param {string} CC - C compiler
-# @param {string} CFLAGS - C compiler flags
-# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
-#/
-$(c_targets): %.out: %.c
-	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
-
-#/
-# Generates test fixtures.
-#
-# @example
-# make run
-#/
-run: $(c_targets)
-	$(QUIET) ./$<
-
-.PHONY: run
-
-#/
-# Removes generated files.
-#
-# @example
-# make clean
-#/
-clean:
-	$(QUIET) -rm -f *.o *.out
-
-.PHONY: clean
-
-#/
-# Removes generated test fixtures.
-#
-# @example
-# make clean-fixtures
-#/
-clean-fixtures:
-	$(QUIET) -rm -f *.json
-
-.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/large.json
deleted file mode 100644
index 4c3c35410e99..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/large.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/medium.json
deleted file mode 100644
index f87f8df28cfd..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/medium.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/runner.c
deleted file mode 100644
index b8206e497ff6..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/runner.c
+++ /dev/null
@@ -1,304 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-/**
-* Generate FFTPACK test fixtures.
-*
-* ## Notes
-*
-* -   Run this script from the directory in which fixtures should be written.
-*
-*/
-
-#include <stdlib.h>
-#include <stdio.h>
-#include <time.h>
-
-/**
-* Define prototypes for external functions.
-*/
-extern void sinqi( int n, double *wsave );
-
-/**
-* Generates a random number on the interval [0,1].
-*
-* @return random number
-*/
-double rand_double( void ) {
-	int r = rand();
-	return (double)r / ( (double)RAND_MAX + 1.0 );
-}
-
-/**
-* Generates an array of pseudorandom integers drawn from a uniform distribution.
-*
-* ## Notes
-*
-* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
-*
-*
-* @param out  output array
-* @param len  array length
-* @param a    lower bound (inclusive)
-* @param b    upper bound (exclusive)
-*/
-void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
-	unsigned int i;
-	unsigned int r;
-	double delta;
-
-	delta = (double)b - (double)a;
-
-	for ( i = 0; i < len; i++ ) {
-		r = (unsigned int)( delta * rand_double() ); // truncation
-		out[ i ] = (int)( a + r );
-	}
-}
-
-/**
-* Writes an array of doubles to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of doubles
-* @param len  array length
-*/
-void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%.17g", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes an array of integers to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of integers
-* @param len  array length
-*/
-void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%d", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes a named array of doubles to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_f64( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes a named array of integers to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_i32( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes data to a file as JSON.
-*
-* ## Notes
-*
-* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
-*
-*
-* @param f          file to write to
-* @param lengths    sequence lengths
-* @param offsets    cosine and twiddle offsets
-* @param cosines    cosine values
-* @param twiddles   twiddle factors
-* @param num        number of sequence lengths
-* @param total      total number of cosine and twiddle values
-*/
-void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *cosines, const double *twiddles, const unsigned int num, const unsigned int total ) {
-	fprintf( f, "{" );
-	write_named_array_i32( f, "lengths", lengths, num );
-	fprintf( f, "," );
-	write_named_array_i32( f, "offsets", offsets, num );
-	fprintf( f, "," );
-	write_named_array_f64( f, "cosines", cosines, total );
-	fprintf( f, "," );
-	write_named_array_f64( f, "twiddles", twiddles, total );
-	fprintf( f, "}\n" );
-}
-
-/**
-* Generates test fixtures.
-*
-* @param lengths  sequence lengths
-* @param offsets  cosine and twiddle offsets into flat output array
-* @param num      number of sequence lengths
-* @param total    total number of cosine and twiddle values
-* @param name     output filename
-*/
-void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
-	unsigned int i;
-	unsigned int j;
-	double *cosines;
-	double *twiddles;
-	double *wsave;
-	FILE *f;
-	int off;
-	int n;
-
-	// Allocate an output array for cosine values:
-	cosines = (double*) malloc( total * sizeof(double) );
-	if ( cosines == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Allocate an output array for twiddle factors:
-	twiddles = (double*) malloc( total * sizeof(double) );
-	if ( twiddles == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	for ( i = 0; i < num; i++ ) {
-		n = lengths[ i ];
-		wsave = (double*) calloc( 3*n + 15, sizeof(double) );
-		if ( wsave == NULL ) {
-			printf( "Error allocating memory.\n" );
-			exit( 1 );
-		}
-		sinqi( n, wsave );
-
-		// Copy cosine region into flat array (N values starting at wsave[0]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)n; j++ ) {
-			cosines[ off + j ] = wsave[ j ];
-		}
-
-		// Copy twiddle region into flat array (N values starting at wsave[2*n]):
-		off = offsets[ i ];
-		for ( j = 0; j < (unsigned int)n; j++ ) {
-			twiddles[ off + j ] = wsave[ ( 2*n ) + j ];
-		}
-		free( wsave );
-	}
-	// Open a new file:
-	f = fopen( name, "w" );
-	if ( f == NULL ) {
-		printf( "Error opening file.\n" );
-		exit( 1 );
-	}
-
-	// Write data as JSON:
-	write_data_as_json( f, lengths, offsets, cosines, twiddles, num, total );
-
-	// Close the file:
-	fclose( f );
-
-	// Free allocated memory:
-	free( cosines );
-	free( twiddles );
-}
-
-/**
-* Computes offsets into flat cosine and twiddle arrays for each sequence length.
-*
-* @param offsets  output array of offsets
-* @param lengths  sequence lengths
-* @param num      number of sequence lengths
-* @return total number of cosine and twiddle values
-*/
-unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
-	unsigned int total;
-	unsigned int i;
-
-	total = 0;
-	for ( i = 0; i < num; i++ ) {
-		offsets[ i ] = total;
-		total += lengths[ i ];
-	}
-	return total;
-}
-
-/**
-* Main execution sequence.
-*/
-int main( void ) {
-	unsigned int total;
-	unsigned int num;
-	int *lengths;
-	int *offsets;
-
-	// Use the current time to seed the random number generator:
-	srand( time( NULL ) );
-
-	// Define the number of sequence lengths per range:
-	num = 10;
-
-	// Allocate arrays:
-	lengths = (int*) malloc( num * sizeof(int) );
-	if ( lengths == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-	offsets = (int*) malloc( num * sizeof(int) );
-	if ( offsets == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	rand_array_i32( lengths, num, 2, 16 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "small.json" );
-
-	rand_array_i32( lengths, num, 16, 128 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "medium.json" );
-
-	rand_array_i32( lengths, num, 128, 1024 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "large.json" );
-
-	// Free allocated memory:
-	free( lengths );
-	free( offsets );
-
-	return 0;
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/small.json
deleted file mode 100644
index 3146cddf05bd..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/fixtures/c/fftpack/small.json
+++ /dev/null
@@ -1 +0,0 @@
-{"lengths":[2,2,15,8,8,4,9,6,15,15],"offsets":[0,2,4,19,27,35,39,48,54,69],"cosines":[0.70710678118654757,6.123233995736766e-17,0.70710678118654757,6.123233995736766e-17,0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17,0.98078528040323043,0.92387953251128674,0.83146961230254524,0.70710678118654757,0.55557023301960229,0.38268343236508984,0.19509032201612833,6.123233995736766e-17,0.98078528040323043,0.92387953251128674,0.83146961230254524,0.70710678118654757,0.55557023301960229,0.38268343236508984,0.19509032201612833,6.123233995736766e-17,0.92387953251128674,0.70710678118654757,0.38268343236508984,6.123233995736766e-17,0.98480775301220802,0.93969262078590843,0.86602540378443871,0.76604444311897801,0.64278760968653936,0.50000000000000011,0.34202014332566882,0.17364817766693041,6.123233995736766e-17,0.96592582628906831,0.86602540378443871,0.70710678118654757,0.50000000000000011,0.25881904510252096,6.123233995736766e-17,0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17,0.99452189536827329,0.97814760073380569,0.95105651629515353,0.91354545764260087,0.86602540378443871,0.80901699437494745,0.74314482547739436,0.66913060635885824,0.58778525229247314,0.50000000000000011,0.40673664307580037,0.30901699437494745,0.20791169081775945,0.10452846326765368,6.123233995736766e-17],"twiddles":[0,0,0,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0.70710678118654757,0.70710678118654746,0,0,0,0,0,0,0,0,0,0,0.76604444311897801,0.64278760968653925,0,0.17364817766693041,0.98480775301220802,0,0,0,0,0.50000000000000011,0.8660254037844386,0,0,0,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0,0.91354545764260087,0.40673664307580015,0.66913060635885824,0.74314482547739424,0,0.66913060635885824,0.74314482547739424,-0.10452846326765333,0.9945218953682734,0,0,0,0,0,0]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/test.js
deleted file mode 100644
index 61f26b47c8dc..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/sinqi/test/test.js
+++ /dev/null
@@ -1,314 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var tape = require( 'tape' );
-var Float64Array = require( '@stdlib/array/float64' );
-var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
-var sinqi = require( './../lib' );
-
-
-// FIXTURES //
-
-var small = require( './fixtures/c/fftpack/small.json' );
-var medium = require( './fixtures/c/fftpack/medium.json' );
-var large = require( './fixtures/c/fftpack/large.json' );
-
-
-// TESTS //
-
-tape( 'main export is a function', function test( t ) {
-	t.ok( true, __filename );
-	t.strictEqual( typeof sinqi, 'function', 'main export is a function' );
-	t.end();
-});
-
-tape( 'the function has an arity of 4', function test( t ) {
-	t.strictEqual( sinqi.length, 4, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function returns a reference to the workspace array', function test( t ) {
-	var workspace;
-	var out;
-	var N;
-
-	N = 8;
-	workspace = new Float64Array( ( 3*N ) + 34 );
-	out = sinqi( N, workspace, 1, 0 );
-
-	t.strictEqual( out, workspace, 'same reference' );
-	t.end();
-});
-
-tape( 'the function correctly initializes cosine values (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.cosines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		sinqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (small sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	expected = small.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		sinqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ (2*N) + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes cosine values (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.cosines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		sinqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (medium sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	expected = medium.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		sinqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ (2*N) + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes cosine values (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.cosines;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		sinqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ N ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle factors (large sequence lengths)', function test( t ) {
-	var workspace;
-	var expected;
-	var lengths;
-	var offsets;
-	var ulps;
-	var off;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	expected = large.twiddles;
-
-	ulps = 1;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		workspace = new Float64Array( ( 3*N ) + 34 );
-		sinqi( N, workspace, 1, 0 );
-
-		t.strictEqual( workspace[ (2*N) - 1 ], 0.0, 'returns expected value' );
-		for ( i = 0; i < N; i++ ) {
-			y = workspace[ (2*N) + i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within '+ulps+' ULPs. N: '+N+'. y: '+y+'. E: '+e );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function does not modify the scratch region of the workspace', function test( t ) {
-	var workspace;
-	var N;
-	var i;
-
-	N = 8;
-	workspace = new Float64Array( ( 3*N ) + 34 );
-
-	for ( i = 0; i < workspace.length; i++ ) {
-		workspace[ i ] = i + 1.0;
-	}
-	sinqi( N, workspace, 1, 0 );
-	for ( i = N; i < 2*N; i++ ) {
-		t.strictEqual( workspace[ i ], i + 1.0, 'returns expected value' );
-	}
-	t.end();
-});
-
-tape( 'the function correctly handles stride and offset parameters', function test( t ) {
-	var workspace;
-	var expected;
-	var stride;
-	var offset;
-	var nf;
-	var N;
-	var i;
-
-	N = 8;
-	stride = 2;
-	offset = 3;
-	workspace = new Float64Array( offset + ( ( ( 3*N ) + 34 ) * stride ) );
-
-	sinqi( N, workspace, stride, offset );
-
-	t.strictEqual( workspace[ offset + ( 3*N * stride ) ], N, 'returns expected value' );
-
-	nf = workspace[ offset + ( ( ( 3*N ) + 1 ) * stride ) ];
-	t.strictEqual( nf, 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( ( 3*N ) + 2 ) * stride ) ], 2, 'returns expected value' );
-	t.strictEqual( workspace[ offset + ( ( ( 3*N ) + 3 ) * stride ) ], 4, 'returns expected value' );
-
-	expected = new Float64Array( ( 3*N ) + 34 );
-	sinqi( N, expected, 1, 0 );
-
-	for ( i = 0; i < N; i++ ) {
-		t.strictEqual( workspace[ offset + ( ( (2*N)+i ) * stride ) ], expected[ (2*N)+i ], 'returns expected value' );
-	}
-	t.end();
-});

From 7a181d88eff96d98e14328a37459bcfbc5241c9a Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:42:10 +0530
Subject: [PATCH 29/32] feat: add `fft/base/fftpack/generic/rfftf`

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: passed
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fft/base/fftpack/generic/rfftf/README.md  | 160 ++++
 .../generic/rfftf/benchmark/benchmark.js      | 138 ++++
 .../base/fftpack/generic/rfftf/docs/repl.txt  |  56 ++
 .../generic/rfftf/docs/types/index.d.ts       |  56 ++
 .../fftpack/generic/rfftf/docs/types/test.ts  | 148 ++++
 .../fftpack/generic/rfftf/examples/index.js   |  38 +
 .../base/fftpack/generic/rfftf/lib/index.js   |  49 ++
 .../base/fftpack/generic/rfftf/lib/main.js    | 115 +++
 .../base/fftpack/generic/rfftf/lib/radf2.js   | 366 +++++++++
 .../base/fftpack/generic/rfftf/lib/radf3.js   | 401 +++++++++
 .../base/fftpack/generic/rfftf/lib/radf4.js   | 492 +++++++++++
 .../base/fftpack/generic/rfftf/lib/radf5.js   | 511 ++++++++++++
 .../base/fftpack/generic/rfftf/lib/radfg.js   | 765 ++++++++++++++++++
 .../base/fftpack/generic/rfftf/lib/rfftf1.js  | 181 +++++
 .../base/fftpack/generic/rfftf/package.json   |  62 ++
 .../rfftf/test/fixtures/c/fftpack/Makefile    | 138 ++++
 .../rfftf/test/fixtures/c/fftpack/large.json  |   1 +
 .../rfftf/test/fixtures/c/fftpack/medium.json |   1 +
 .../rfftf/test/fixtures/c/fftpack/runner.c    | 318 ++++++++
 .../rfftf/test/fixtures/c/fftpack/small.json  |   1 +
 .../base/fftpack/generic/rfftf/test/test.js   | 387 +++++++++
 21 files changed, 4384 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf2.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf3.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf4.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf5.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radfg.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/rfftf1.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/Makefile
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/large.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/medium.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/runner.c
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/small.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/README.md
new file mode 100644
index 000000000000..d295b19c6db9
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/README.md
@@ -0,0 +1,160 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# rfftf
+
+> Compute the forward discrete Fourier transform (DFT) of a real-valued sequence.
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var rfftf = require( '@stdlib/fft/base/fftpack/generic/rfftf' );
+```
+
+#### rfftf( N, r, strideR, offsetR, w, strideW, offsetW )
+
+Computes the forward discrete Fourier transform (DFT) of a real-valued sequence.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+
+var N = 4;
+var w = new Float64Array( ( 2*N ) + 34 );
+
+rffti( N, w, 1, 0 );
+
+var r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+rfftf( N, r, 1, 0, w, 1, 0 );
+
+// r => <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
+```
+
+The function accepts the following arguments:
+
+-   **N**: length of the sequence to transform. The function is most efficient when this value is a product of small prime numbers.
+-   **r**: input array.
+-   **strideR**: stride length for `r`.
+-   **offsetR**: starting index for `r`.
+-   **w**: workspace array containing pre-computed values.
+-   **strideW**: stride length for `w`.
+-   **offsetW**: starting index for `w`.
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   Before calling this function, initialize the workspace by calling [`rffti`][@stdlib/fft/base/fftpack/generic/rffti] with the same sequence length and workspace layout.
+
+-   The function performs the transform in-place (i.e., the input array is **mutated**).
+
+-   For `N = 4`, the output
+
+    ```text
+    [ 10.0, -2.0, 2.0, -2.0 ]
+    ```
+
+    corresponds to a zero-frequency term `10.0`, a complex coefficient `-2.0 + 2.0i` at frequency `1`, and a Nyquist term `-2.0`.
+
+-   If `N` equals `1`, the function returns early without modifying the input, as a single data point is its own Fourier transform.
+
+-   This transform is unnormalized as a call to this function followed by a call performing a [backward transform][@stdlib/fft/base/fftpack/rfftb] will multiply the input array by `N`.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var zeros = require( '@stdlib/array/zeros' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+var rfftf = require( '@stdlib/fft/base/fftpack/generic/rfftf' );
+
+var N = 4;
+var opts = {
+    'dtype': 'float64'
+};
+var r = discreteUniform( N, -10, 10, opts );
+var w = zeros( ( 2*N ) + 34 );
+
+console.log( r );
+
+rffti( N, w, 1, 0 );
+rfftf( N, r, 1, 0, w, 1, 0 );
+
+console.log( r );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[@stdlib/fft/base/fftpack/generic/rffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/rffti
+
+[@stdlib/fft/base/fftpack/rfftb]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/rfftb
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/benchmark/benchmark.js
new file mode 100644
index 000000000000..a4ee0166fc0a
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/benchmark/benchmark.js
@@ -0,0 +1,138 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var slice = require( '@stdlib/array/slice' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var Float64Array = require( '@stdlib/array/float64' );
+var dcopy = require( '@stdlib/blas/base/dcopy' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+var pkg = require( './../package.json' ).name;
+var rfftf = require( './../lib' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} iter - number of iterations
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( iter, N ) {
+	var w;
+	var x;
+	var i;
+
+	x = [];
+	for ( i = 0; i < iter; i++ ) {
+		x.push( uniform( N, -100.0, 100.0, options ) );
+	}
+	w = new Float64Array( ( 2*N ) + 34 );
+	rffti( N, w, 1, 0 );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var xc;
+		var y;
+		var i;
+
+		xc = slice( x );
+		for ( i = 0; i < iter; i++ ) {
+			xc[ i ] = dcopy( N, x[ i ], 1, new Float64Array( N ), 1 );
+		}
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			y = rfftf( N, xc[ i ], 1, 0, w, 1, 0 );
+			if ( isnan( y[ i%N ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( y[ i%N ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var opts;
+	var iter;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		8,
+		16,
+		32,
+		64,
+		128,
+		256,
+		512,
+		1024
+	];
+
+	iter = 1e6;
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( iter, N );
+		opts = {
+			'iterations': iter
+		};
+		bench( format( '%s:N=%d', pkg, N ), opts, f );
+		iter = floor( pow( iter, 3.0/4.0 ) );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/repl.txt
new file mode 100644
index 000000000000..b09f9ec4542f
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/repl.txt
@@ -0,0 +1,56 @@
+
+{{alias}}( N, r, strideR, offsetR, w, strideW, offsetW )
+    Computes the forward discrete Fourier transform (DFT) of a real-valued
+    sequence.
+
+    Before calling this function, one must first initialize the workspace array
+    using the corresponding initialization function with the same sequence
+    length and workspace layout.
+
+    This transform is unnormalized as a call to this function followed by a call
+    performing a backward transform will multiply the input array by `N`.
+
+    Parameters
+    ----------
+    N: integer
+        Length of the sequence to transform. The function is most efficient when
+        this value is a product of small prime numbers.
+
+    r: ArrayLikeObject<number>
+        Input array.
+
+    strideR: integer
+        Stride length for `r`.
+
+    offsetR: integer
+        Starting index for `r`.
+
+    w: ArrayLikeObject<number>
+        Workspace array containing pre-computed values.
+
+    strideW: integer
+        Stride length for `w`.
+
+    offsetW: integer
+        Starting index for `w`.
+
+    Returns
+    -------
+    r: ArrayLikeObject<number>
+        Input array.
+
+    Examples
+    --------
+    > var N = 4;
+    > var r = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0 ] );
+    > var w = new {{alias:@stdlib/array/float64}}( ( 2*N ) + 34 );
+    > {{alias:@stdlib/fft/base/fftpack/generic/rffti}}( N, w, 1, 0 )
+    <Float64Array>
+    > var out = {{alias}}( N, r, 1, 0, w, 1, 0 )
+    <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
+    > var bool = ( out === r )
+    true
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/types/index.d.ts
new file mode 100644
index 000000000000..4bc72a5c96a0
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/types/index.d.ts
@@ -0,0 +1,56 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Computes the forward discrete Fourier transform (DFT) of a real-valued sequence.
+*
+* @param N - length of the sequence to transform
+* @param r - input array
+* @param strideR - stride length for `r`
+* @param offsetR - starting index for `r`
+* @param w - workspace array containing pre-computed values
+* @param strideW - stride length for `w`
+* @param offsetW - starting index for `w`
+* @returns input array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+*
+* var N = 4;
+*
+* var w = new Float64Array( ( 2*N ) + 34 );
+* rffti( N, w, 1, 0 );
+*
+* var r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+*
+* rfftf( N, r, 1, 0, w, 1, 0 );
+* // r => <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
+*/
+declare function rfftf<T extends Collection<number>>( N: number, r: T, strideR: number, offsetR: number, w: Collection<number>, strideW: number, offsetW: number ): T;
+
+
+// EXPORTS //
+
+export = rfftf;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/types/test.ts
new file mode 100644
index 000000000000..9ad7c70784d6
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/docs/types/test.ts
@@ -0,0 +1,148 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import rfftf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a collection...
+{
+	const r = new Float64Array( 4 );
+	const w = new Float64Array( ( 2*4 ) + 34 );
+
+	rfftf( 4, r, 1, 0, w, 1, 0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+	const r = new Float64Array( 4 );
+	const w = new Float64Array( ( 2*4 ) + 34 );
+
+	rfftf( '4', r, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( true, r, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( false, r, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( null, r, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( void 0, r, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( [], r, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( {}, r, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( ( x: number ): number => x, r, 1, 0, w, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a collection...
+{
+	const w = new Float64Array( ( 2*4 ) + 34 );
+
+	rfftf( 4, '4', 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, 4, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, true, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, false, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, null, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, void 0, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, {}, 1, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, ( x: number ): number => x, 1, 0, w, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+	const r = new Float64Array( 4 );
+	const w = new Float64Array( ( 2*4 ) + 34 );
+
+	rfftf( 4, r, '1', 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, true, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, false, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, null, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, void 0, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, [], 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, {}, 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, ( x: number ): number => x, 0, w, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+	const r = new Float64Array( 4 );
+	const w = new Float64Array( ( 2*4 ) + 34 );
+
+	rfftf( 4, r, 1, '0', w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, true, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, false, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, null, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, void 0, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, [], w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, {}, w, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, ( x: number ): number => x, w, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a collection...
+{
+	const r = new Float64Array( 4 );
+
+	rfftf( 4, r, 1, 0, '42', 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, 42, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, true, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, false, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, null, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, void 0, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, {}, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not a number...
+{
+	const r = new Float64Array( 4 );
+	const w = new Float64Array( ( 2*4 ) + 34 );
+
+	rfftf( 4, r, 1, 0, w, '1', 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, true, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, false, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, null, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, void 0, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, [], 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, {}, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a seventh argument which is not a number...
+{
+	const r = new Float64Array( 4 );
+	const w = new Float64Array( ( 2*4 ) + 34 );
+
+	rfftf( 4, r, 1, 0, w, 1, '0' ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, 1, true ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, 1, false ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, 1, null ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, 1, void 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, 1, [] ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, 1, {} ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const r = new Float64Array( 4 );
+	const w = new Float64Array( ( 2*4 ) + 34 );
+
+	rfftf(); // $ExpectError
+	rfftf( 4 ); // $ExpectError
+	rfftf( 4, r ); // $ExpectError
+	rfftf( 4, r, 1 ); // $ExpectError
+	rfftf( 4, r, 1, 0 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, 1 ); // $ExpectError
+	rfftf( 4, r, 1, 0, w, 1, 0, 123 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/examples/index.js
new file mode 100644
index 000000000000..9d00f237c710
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/examples/index.js
@@ -0,0 +1,38 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var zeros = require( '@stdlib/array/zeros' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+var rfftf = require( './../lib' );
+
+var N = 4;
+var opts = {
+	'dtype': 'float64'
+};
+var r = discreteUniform( N, -10, 10, opts );
+var w = zeros( ( 2*N ) + 34 );
+
+console.log( r );
+
+rffti( N, w, 1, 0 );
+rfftf( N, r, 1, 0, w, 1, 0 );
+
+console.log( r );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/index.js
new file mode 100644
index 000000000000..a5b70b4d7403
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/index.js
@@ -0,0 +1,49 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Compute the forward discrete Fourier transform (DFT) of a real-valued sequence.
+*
+* @module @stdlib/fft/base/fftpack/generic/rfftf
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+* var rfftf = require( '@stdlib/fft/base/fftpack/generic/rfftf' );
+*
+* var N = 4;
+*
+* var w = new Float64Array( ( 2*N ) + 34 );
+* rffti( N, w, 1, 0 );
+*
+* var r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+*
+* rfftf( N, r, 1, 0, w, 1, 0 );
+* // r => <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/main.js
new file mode 100644
index 000000000000..e8c894731ae9
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/main.js
@@ -0,0 +1,115 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var rfftf1 = require( './rfftf1.js' );
+
+
+// MAIN //
+
+/**
+* Computes the forward discrete Fourier transform (DFT) of a real-valued sequence.
+*
+* @param {NonNegativeInteger} N - length of the sequence to transform
+* @param {Collection} r - input array
+* @param {integer} strideR - stride length for `r`
+* @param {NonNegativeInteger} offsetR - starting index for `r`
+* @param {Collection} w - workspace array containing pre-computed values
+* @param {integer} strideW - stride length for `w`
+* @param {NonNegativeInteger} offsetW - starting index for `w`
+* @returns {Collection} input array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+*
+* var N = 4;
+*
+* var w = new Float64Array( ( 2*N ) + 34 );
+* rffti( N, w, 1, 0 );
+*
+* var r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+*
+* rfftf( N, r, 1, 0, w, 1, 0 );
+* // r => <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
+*/
+function rfftf( N, r, strideR, offsetR, w, strideW, offsetW ) {
+	var offsetT;
+	var offsetF;
+
+	// When a sub-sequence is a single data point, the FFT is the identity, so no transformation necessary...
+	if ( N === 1 ) {
+		return r;
+	}
+
+	// Resolve the starting indices for storing twiddle factors and factorization results:
+	offsetT = offsetW + ( N * strideW ); // index offset for twiddle factors
+	offsetF = offsetT + ( N * strideW ); // index offset for factors describing the sub-transforms
+
+	rfftf1( N, r, strideR, offsetR, w, strideW, offsetW, w, strideW, offsetT, w, strideW, offsetF ); // eslint-disable-line max-len
+
+	return r;
+}
+
+
+// EXPORTS //
+
+module.exports = rfftf;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf2.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf2.js
new file mode 100644
index 000000000000..875c85e8bff7
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf2.js
@@ -0,0 +1,366 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+/* eslint-disable max-len */
+
+'use strict';
+
+// FUNCTIONS //
+
+/**
+* Resolves an index into the input array.
+*
+* ## Notes
+*
+* In a forward real FFT, the previous stage writes its results as two "rows" per sub-sequence.
+*
+* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having two "rows" (`even + odd` and `even - odd`, respectively) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
+*
+* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
+*
+* ```text
+*                  │           k = 0                    k = 1                    k = 2
+*                  │ ──────────────────────────────────────────────────────────────────────────→ k
+* j = 0 (even+odd) │  cc(0,0,0) ... cc(3,0,0)  cc(0,1,0) ... cc(3,1,0)  cc(0,2,0) ... cc(3,2,0)
+*                  │
+* j = 1 (even-odd) │  cc(0,0,1) ... cc(3,0,1)  cc(0,1,1) ... cc(3,1,1)  cc(0,2,1) ... cc(3,2,1)
+*                  └───────────────────────────────────────────────────────────────────────────→ i
+*                         ↑             ↑          ↑             ↑          ↑             ↑
+*                       i = 0          M-1         0            M-1         0            M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to either the `even + odd` or `even - odd` row.
+* -   `j` selects between the `even + odd` and `even - odd` row.
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) |
+*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑
+*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1
+* ```
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} j - input row
+* @param {NonNegativeInteger} L - number of sub-sequences
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the input array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = iptr( 0, 0, 0, L, M, stride, offset );
+* // returns 0
+*
+* idx = iptr( 1, 0, 0, L, M, stride, offset );
+* // returns 1
+*
+* idx = iptr( M-1, 0, 0, L, M, stride, offset );
+* // returns 3
+*
+* idx = iptr( 0, 1, 0, L, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = iptr( M-1, L-1, 1, L, M, stride, offset );
+* // returns 23
+*/
+function iptr( i, k, j, L, M, stride, offset ) {
+	var n = i + ( ( k+(j*L) ) * M );
+	return ( n*stride ) + offset;
+}
+
+/**
+* Resolves an index into the output array.
+*
+* ## Notes
+*
+* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having two "columns" corresponding to the even and odd half-spectrum of a folded complex vector (with real and imaginary parts of each half-spectrum interleaved along each sub-sequence) and where each "column" has `M` elements.
+*
+* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4`:
+*
+* ```text
+*                 j = 0 ("even" column)              j = 1 ("odd" column)
+* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┐
+*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┤
+* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┤
+*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┤
+* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┤
+*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┘
+*              ↑           ↑              ↑            ↑           ↑              ↑
+*            i = 0         1             M-1           0           1             M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
+* -   `j` selects between the even (0) and odd (1) column.
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,0,1)...out(3,0,1) | ... | out(0,1,2)...out(3,1,2) |
+*       ↑            ↑            ↑            ↑            ↑            ↑                  ↑            ↑
+*       0           M-1           M          2M-1          2M          3M-1              (2L-1)M       2LM-1
+* ```
+*
+* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radf2` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
+*
+* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} j - index specifying which of the two complex halves we are in (either `0` or `1`)
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the output array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = optr( 0, 0, 0, M, stride, offset );
+* // returns 0
+*
+* idx = optr( 1, 0, 0, M, stride, offset );
+* // returns 1
+*
+* idx = optr( M-1, 0, 0, M, stride, offset );
+* // returns 3
+*
+* idx = optr( 0, 1, 0, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = optr( M-1, 1, L-1, M, stride, offset );
+* // returns 23
+*/
+function optr( i, j, k, M, stride, offset ) {
+	var n = i + ( ( j+(k*2) ) * M );
+	return ( n*stride ) + offset;
+}
+
+
+// MAIN //
+
+/**
+* Performs one radix-2 stage within a forward Fourier transform for a real-valued sequence.
+*
+* @private
+* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
+* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
+* @param {Collection} cc - input array containing the sub-sequences to be transformed
+* @param {integer} sc - stride length for `cc`
+* @param {NonNegativeInteger} oc - index offset for `cc`
+* @param {Collection} out - output array containing transformed sub-sequences
+* @param {integer} so - stride length for `out`
+* @param {NonNegativeInteger} oo - index offset for `out`
+* @param {Collection} twiddles - array containing twiddle factors
+* @param {integer} st - stride length for `twiddles`
+* @param {NonNegativeInteger} ot - index offset for `twiddles`
+* @returns {void}
+*/
+function radf2( M, L, cc, sc, oc, out, so, oo, twiddles, st, ot ) { // eslint-disable-line max-params
+	var tr2;
+	var ti2;
+	var ip1;
+	var ip2;
+	var it1;
+	var it2;
+	var io;
+	var im;
+	var i;
+	var k;
+
+	/*
+	* First, perform the core butterfly for each sub-sequence being transformed.
+	*
+	* In the following loop, we handle harmonic `n = 0` for every transform. As described for `iptr`, the input array is interpreted as a three-dimensional array, containing two "rows" per sub-sequence.
+	*
+	*     row0 = even + odd    (j = 0)
+	*     row1 = even - odd    (j = 1)
+	*
+	* For a radix-2 forward FFT of a real-valued signal `x` and `n = 0`,
+	*
+	*     x[0] = row0 + row1 = 2⋅even
+	*     x[M] = row0 - row1 = 2⋅odd
+	*
+	* Because `W_2^0 = 1`, no twiddle multiplication is necessary.
+	*/
+	for ( k = 0; k < L; k++ ) {
+		ip1 = iptr( 0, k, 0, L, M, sc, oc ); // real part row 0
+		ip2 = iptr( 0, k, 1, L, M, sc, oc ); // real part row 1
+
+		io = optr( 0, 0, k, M, so, oo );
+		out[ io ] = cc[ ip1 ] + cc[ ip2 ]; // even + odd
+
+		io = optr( M-1, 1, k, M, so, oo );
+		out[ io ] = cc[ ip1 ] - cc[ ip2 ]; // even - odd
+	}
+	// When the number of elements in a sub-sequence is less than `2`, there is nothing more to do, as the above butterfly produced the full result...
+	if ( M < 2 ) {
+		return;
+	}
+	/*
+	* Next, apply the general case where we need to loop through the non-trivial harmonics.
+	*
+	* For each harmonic `n = 1, ..., M/2-1`, we need to
+	*
+	* -   recover even/odd spectra from the two input rows.
+	* -   multiply the odd part by the twiddle factor `W_n = cos(θ) - j sin(θ)`.
+	* -   form the following
+	*
+	*         x[2n]   = E_n + W_n⋅O_n    => column 0
+	*         x[2n+1] = E_n - W_n⋅O_n    => column 1
+	*
+	* The mirror index `im = M - i` selects the conjugate-symmetric partner, thus allowing the routine to read each symmetry pair only once.
+	*/
+	if ( M >= 3 ) {
+		// Loop over each sub-sequence to be transformed...
+		for ( k = 0; k < L; k++ ) {
+			// Loop over the elements in each sub-sequence...
+			for ( i = 2; i < M; i += 2 ) {
+				im = M - i; // "mirror" index
+
+				// Resolve twiddle factor indices:
+				it1 = ( (i-2)*st ) + ot; // cos(θ)
+				it2 = ( (i-1)*st ) + ot; // sin(θ)
+
+				// Load the `even-odd` row...
+				ip1 = iptr( i-1, k, 1, L, M, sc, oc ); // c = Re(row1)
+				ip2 = iptr( i, k, 1, L, M, sc, oc );   // d = Im(row1)
+
+				// eslint-disable-next-line stdlib/capitalized-comments, stdlib/empty-line-before-comment
+				// tmp = W_n ⋅ (c + j⋅d)
+				tr2 = ( twiddles[ it1 ] * cc[ ip1 ] ) + ( twiddles[ it2 ] * cc[ ip2 ] ); // Re(tmp)
+				ti2 = ( twiddles[ it1 ] * cc[ ip2 ] ) - ( twiddles[ it2 ] * cc[ ip1 ] ); // Im(tmp)
+
+				// Load the `even+odd` row...
+				ip1 = iptr( i, k, 0, L, M, sc, oc ); // b = Im(row0)
+				io = optr( i, 0, k, M, so, oo );     // Im(x[2n])
+				out[ io ] = cc[ ip1 ] + ti2;
+
+				io = optr( im, 1, k, M, so, oo ); // Im(x[2n+1])
+				out[ io ] = ti2 - cc[ ip1 ];
+
+				ip1 = iptr( i-1, k, 0, L, M, sc, oc ); // a = Re(row0)
+				io = optr( i-1, 0, k, M, so, oo );     // Re(x[2n])
+				out[ io ] = cc[ ip1 ] + tr2;
+
+				io = optr( im-1, 1, k, M, so, oo ); // Re(x[2n+1])
+				out[ io ] = cc[ ip1 ] - tr2;
+			}
+		}
+		// When `M` is odd, there is no Nyquist pair to process, so we do not need to perform any further transformations...
+		if ( M%2 === 1 ) {
+			return;
+		}
+	}
+	/*
+	* Lastly, handle the Nyquist frequency where `i = M-1` (i.e., the last element of each sub-sequence).
+	*
+	* When `M` is even, the Nyquist index is `i = M/2`. In this stage, we've stored that element at the end of each sub-sequence (i.e., `i = M-1` in the packed layout).
+	*
+	* At this point, the cosine term is -1 and the sine term is 0, so the twiddle multiplication collapses to simple addition/subtraction.
+	*
+	* In this case,
+	*
+	*     W_n⋅O_n = ±Re(O_n)
+	*
+	* where
+	*
+	*     row0 =  Re(E_n)
+	*     row1 = -Re(O_n)
+	*/
+	for ( k = 0; k < L; k++ ) {
+		ip1 = iptr( M-1, k, 1, L, M, sc, oc ); // -Re(O_n)
+		io = optr( 0, 1, k, M, so, oo );
+		out[ io ] = -cc[ ip1 ];                // -(-Re(O_n)) = Re(O_n)
+
+		ip1 = iptr( M-1, k, 0, L, M, sc, oc ); // Re(E_n)
+		io = optr( M-1, 0, k, M, so, oo );
+		out[ io ] = cc[ ip1 ];
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = radf2;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf3.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf3.js
new file mode 100644
index 000000000000..fa93eb19c6bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf3.js
@@ -0,0 +1,401 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+/* eslint-disable max-len */
+
+'use strict';
+
+// VARIABLES //
+
+// cos( 2π/3 ):
+var TAUR = -0.5;
+
+// sin( 2π/3 ):
+var TAUI = 0.866025403784439;
+
+
+// FUNCTIONS //
+
+/**
+* Resolves an index into the input array.
+*
+* ## Notes
+*
+* In a forward real FFT, the previous stage writes its results as three "rows" per sub-sequence.
+*
+* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having three "rows" (components 0, 1, and 2) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
+*
+* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
+*
+* ```text
+*       │           k = 0                    k = 1                    k = 2
+*       │ ──────────────────────────────────────────────────────────────────────────→ k
+* j = 0 │  cc(0,0,0) ... cc(3,0,0)  cc(0,1,0) ... cc(3,1,0)  cc(0,2,0) ... cc(3,2,0)
+*       │
+* j = 1 │  cc(0,0,1) ... cc(3,0,1)  cc(0,1,1) ... cc(3,1,1)  cc(0,2,1) ... cc(3,2,1)
+*       │
+* j = 2 │  cc(0,0,2) ... cc(3,0,2)  cc(0,1,2) ... cc(3,1,2)  cc(0,2,2) ... cc(3,2,2)
+*       └───────────────────────────────────────────────────────────────────────────→ i
+*              ↑             ↑          ↑             ↑          ↑             ↑
+*            i = 0          M-1         0            M-1         0            M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to one of the three component rows.
+* -   `j` selects between the three component rows (0, 1, or 2).
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) | cc(0,0,2)...cc(3,0,2) ... cc(0,2,2)...cc(3,2,2) |
+*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑
+*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1        2LM      (2L+1)M-1       (3L-1)M      3LM-1
+* ```
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} j - input row
+* @param {NonNegativeInteger} L - number of sub-sequences
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the input array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = iptr( 0, 0, 0, L, M, stride, offset );
+* // returns 0
+*
+* idx = iptr( 1, 0, 0, L, M, stride, offset );
+* // returns 1
+*
+* idx = iptr( M-1, 0, 0, L, M, stride, offset );
+* // returns 3
+*
+* idx = iptr( 0, 1, 0, L, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = iptr( M-1, L-1, 1, L, M, stride, offset );
+* // returns 23
+*/
+function iptr( i, k, j, L, M, stride, offset ) {
+	var n = i + ( ( k+(j*L) ) * M );
+	return ( n*stride ) + offset;
+}
+
+/**
+* Resolves an index into the output array.
+*
+* ## Notes
+*
+* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having three "columns" corresponding to the three components of a radix-3 stage (with real and imaginary parts of each component interleaved along each sub-sequence) and where each "column" has `M` elements.
+*
+* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4`:
+*
+* ```text
+*                 j = 0 (component 0)                     j = 1 (component 1)                    j = 2 (component 2)
+* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┐
+*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │ out(0,2,0)  out(1,2,0) ... out(3,2,0) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
+* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
+*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │ out(0,2,1)  out(1,2,1) ... out(3,2,1) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
+* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
+*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │ out(0,2,2)  out(1,2,2) ... out(3,2,2) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┘
+*              ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑
+*            i = 0         1             M-1           0           1             M-1           0           1             M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
+* -   `j` selects between one of the three components (0, 1, or 2).
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,2,0)...out(3,2,0) | out(0,0,1)...out(3,0,1) | ... | out(0,2,2)...out(3,2,2) |
+*       ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑                  ↑            ↑
+*       0           M-1           M          2M-1          2M          3M-1          3M         4M-1              (3L-1)M       3LM-1
+* ```
+*
+* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radf3` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
+*
+* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} j - index specifying which of the three complex components we are in (0, 1, or 2)
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the output array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = optr( 0, 0, 0, M, stride, offset );
+* // returns 0
+*
+* idx = optr( 1, 0, 0, M, stride, offset );
+* // returns 1
+*
+* idx = optr( M-1, 0, 0, M, stride, offset );
+* // returns 3
+*
+* idx = optr( 0, 1, 0, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = optr( M-1, 2, L-1, M, stride, offset );
+* // returns 35
+*/
+function optr( i, j, k, M, stride, offset ) {
+	var n = i + ( ( j+(k*3) ) * M );
+	return ( n*stride ) + offset;
+}
+
+
+// MAIN //
+
+/**
+* Performs one radix-3 stage within a forward Fourier transform for a real-valued sequence.
+*
+* @private
+* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
+* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
+* @param {Collection} cc - input array containing the sub-sequences to be transformed
+* @param {integer} sc - stride length for `cc`
+* @param {NonNegativeInteger} oc - index offset for `cc`
+* @param {Collection} out - output array containing transformed sub-sequences
+* @param {integer} so - stride length for `out`
+* @param {NonNegativeInteger} oo - index offset for `out`
+* @param {Collection} twiddles1 - first array containing twiddle factors
+* @param {integer} st1 - stride length for `twiddles1`
+* @param {NonNegativeInteger} ot1 - index offset for `twiddles1`
+* @param {Collection} twiddles2 - second array containing twiddle factors
+* @param {integer} st2 - stride length for `twiddles2`
+* @param {NonNegativeInteger} ot2 - index offset for `twiddles2`
+* @returns {void}
+*/
+function radf3( M, L, cc, sc, oc, out, so, oo, twiddles1, st1, ot1, twiddles2, st2, ot2 ) { // eslint-disable-line max-params
+	var it11;
+	var it12;
+	var it21;
+	var it22;
+	var tr2;
+	var ti2;
+	var tr3;
+	var ti3;
+	var cr2;
+	var ci2;
+	var dr2;
+	var di2;
+	var dr3;
+	var di3;
+	var ip1;
+	var ip2;
+	var ip3;
+	var io;
+	var im;
+	var i;
+	var k;
+
+	/*
+	* First, perform the core butterfly for each sub-sequence being transformed.
+	*
+	* In the following loop, we handle harmonic `n = 0` for every transform. As described for `iptr`, the input array is interpreted as a three-dimensional array, containing three "rows" per sub-sequence.
+	*
+	*     row0 = input component 0    (j = 0)
+	*     row1 = input component 1    (j = 1)
+	*     row2 = input component 2    (j = 2)
+	*
+	* For a radix-3 forward FFT of a real-valued signal `x` and `n = 0`,
+	*
+	*     taur = cos(2π/3)
+	*     taui = sin(2π/3)
+	*
+	*     x[0] = row0 + row1 + row2
+	*     x[2M] = taui * ( row2-row1 )
+	*     x[M] = row0 + ( taur * ( row1+row2 ) )
+	*
+	* Because `W_3^0 = 1`, no twiddle multiplication is necessary beyond these constant factors (`taur` and `taui`).
+	*/
+	for ( k = 0; k < L; k++ ) {
+		ip1 = iptr( 0, k, 0, L, M, sc, oc ); // real part row 0
+		ip2 = iptr( 0, k, 1, L, M, sc, oc ); // real part row 1
+		ip3 = iptr( 0, k, 2, L, M, sc, oc ); // real part row 2
+
+		cr2 = cc[ ip2 ] + cc[ ip3 ];
+
+		io = optr( 0, 0, k, M, so, oo );
+		out[ io ] = cc[ ip1 ] + cr2; // row0 + row1 + row2
+
+		io = optr( 0, 2, k, M, so, oo );
+		out[ io ] = TAUI * ( cc[ ip3 ] - cc[ ip2 ] ); // taui * ( row2-row1 )
+
+		io = optr( M-1, 1, k, M, so, oo );
+		out[ io ] = cc[ ip1 ] + ( TAUR * cr2 ); // row0 + ( taur * ( row1+row2 ) )
+	}
+	// When the number of elements in a sub-sequence is less than `2`, there is nothing more to do, as the above butterfly produced the full result...
+	if ( M < 2 ) {
+		return;
+	}
+	/*
+	* Next, apply the general case where we need to loop through the non-trivial harmonics.
+	*
+	* For each harmonic `n = 1, ..., M/2-1`, we need to
+	*
+	* -   recover three spectra from the three input rows.
+	* -   apply radix-3 twiddle factors to rows 1 and 2, then combine with row 0 to form three output columns.
+	* -   form the following
+	*
+	*         x[3n]   = X₀ + (W₁⋅X₁ + W₂⋅X₂)                                         => column 0
+	*         x[3n+1] = X₀ + taur⋅(W₁⋅X₁ + W₂⋅X₂) + taui⋅i⋅(W₁⋅X₁ - W₂⋅X₂)           => column 2
+	*         x[3n+2] = X₀ + taur⋅(W₁⋅X₁ + W₂⋅X₂) - taui⋅i⋅(W₁⋅X₁ - W₂⋅X₂)           => column 1
+	*
+	* The mirror index `im = M - i` selects the conjugate-symmetric partner, thus allowing the routine to read each symmetry pair only once.
+	*/
+	// Loop over each sub-sequence to be transformed...
+	for ( k = 0; k < L; k++ ) {
+		// Loop over the elements in each sub-sequence...
+		for ( i = 2; i < M; i += 2 ) {
+			im = M - i; // "mirror" index
+
+			// Resolve twiddle factor indices for component 1:
+			it11 = ( (i-2)*st1 ) + ot1; // cos(θ) for component 1
+			it12 = ( (i-1)*st1 ) + ot1; // sin(θ) for component 1
+
+			// Resolve twiddle factor indices for component 2:
+			it21 = ( (i-2)*st2 ) + ot2; // cos(θ) for component 2
+			it22 = ( (i-1)*st2 ) + ot2; // sin(θ) for component 2
+
+			// Load component 1 data...
+			ip1 = iptr( i-1, k, 1, L, M, sc, oc ); // real part component 1
+			ip2 = iptr( i, k, 1, L, M, sc, oc );   // imag part component 1
+
+			// Apply twiddle factor for component 1:
+			dr2 = ( twiddles1[ it11 ] * cc[ ip1 ] ) + ( twiddles1[ it12 ] * cc[ ip2 ] );
+			di2 = ( twiddles1[ it11 ] * cc[ ip2 ] ) - ( twiddles1[ it12 ] * cc[ ip1 ] );
+
+			// Load component 2 data...
+			ip1 = iptr( i-1, k, 2, L, M, sc, oc ); // real part component 2
+			ip2 = iptr( i, k, 2, L, M, sc, oc );   // imag part component 2
+
+			// Apply twiddle factor for component 2:
+			dr3 = ( twiddles2[ it21 ] * cc[ ip1 ] ) + ( twiddles2[ it22 ] * cc[ ip2 ] );
+			di3 = ( twiddles2[ it21 ] * cc[ ip2 ] ) - ( twiddles2[ it22 ] * cc[ ip1 ] );
+
+			// Combine the twiddled components:
+			cr2 = dr2 + dr3; // sum of real parts
+			ci2 = di2 + di3; // sum of imag parts
+
+			// Load component 0 data...
+			ip1 = iptr( i-1, k, 0, L, M, sc, oc ); // real part component 0
+			io = optr( i-1, 0, k, M, so, oo );
+			out[ io ] = cc[ ip1 ] + cr2;
+
+			ip2 = iptr( i, k, 0, L, M, sc, oc ); // imag part component 0
+			io = optr( i, 0, k, M, so, oo );
+			out[ io ] = cc[ ip2 ] + ci2;
+
+			// Intermediate results for components 1 and 2:
+			tr2 = cc[ ip1 ] + ( TAUR * cr2 );
+			ti2 = cc[ ip2 ] + ( TAUR * ci2 );
+			tr3 = TAUI * ( di2 - di3 );
+			ti3 = TAUI * ( dr3 - dr2 );
+
+			// Output component 1:
+			io = optr( i-1, 2, k, M, so, oo );
+			out[ io ] = tr2 + tr3;
+
+			io = optr( im-1, 1, k, M, so, oo );
+			out[ io ] = tr2 - tr3;
+
+			// Output component 2:
+			io = optr( i, 2, k, M, so, oo );
+			out[ io ] = ti2 + ti3;
+
+			io = optr( im, 1, k, M, so, oo );
+			out[ io ] = ti3 - ti2;
+		}
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = radf3;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf4.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf4.js
new file mode 100644
index 000000000000..49e12bd33210
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf4.js
@@ -0,0 +1,492 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+/* eslint-disable max-len, max-statements */
+
+'use strict';
+
+// MODULES //
+
+var SQRT_HALF = require( '@stdlib/constants/float64/sqrt-half' );
+
+
+// FUNCTIONS //
+
+/**
+* Resolves an index into the input array.
+*
+* ## Notes
+*
+* In a forward real FFT, the previous stage writes its results as four "rows" per sub-sequence.
+*
+* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having four "rows" (components 0, 1, 2, and 3) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
+*
+* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
+*
+* ```text
+*       │           k = 0                    k = 1                    k = 2
+*       │ ──────────────────────────────────────────────────────────────────────────→ k
+* j = 0 │  cc(0,0,0) ... cc(3,0,0)  cc(0,1,0) ... cc(3,1,0)  cc(0,2,0) ... cc(3,2,0)
+*       │
+* j = 1 │  cc(0,0,1) ... cc(3,0,1)  cc(0,1,1) ... cc(3,1,1)  cc(0,2,1) ... cc(3,2,1)
+*       │
+* j = 2 │  cc(0,0,2) ... cc(3,0,2)  cc(0,1,2) ... cc(3,1,2)  cc(0,2,2) ... cc(3,2,2)
+*       │
+* j = 3 │  cc(0,0,3) ... cc(3,0,3)  cc(0,1,3) ... cc(3,1,3)  cc(0,2,3) ... cc(3,2,3)
+*       └───────────────────────────────────────────────────────────────────────────→ i
+*              ↑             ↑          ↑             ↑          ↑             ↑
+*            i = 0          M-1         0            M-1         0            M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to one of the four component rows.
+* -   `j` selects between the four component rows (0, 1, 2, or 3).
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) | ... | cc(0,0,3)...cc(3,0,3) ... cc(0,2,3)...cc(3,2,3) |
+*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑                 ↑           ↑             ↑           ↑
+*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1              3LM      (3L+1)M-1       (4L-1)M      4LM-1
+* ```
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} j - input row
+* @param {NonNegativeInteger} L - number of sub-sequences
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the input array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = iptr( 0, 0, 0, L, M, stride, offset );
+* // returns 0
+*
+* idx = iptr( 1, 0, 0, L, M, stride, offset );
+* // returns 1
+*
+* idx = iptr( M-1, 0, 0, L, M, stride, offset );
+* // returns 3
+*
+* idx = iptr( 0, 1, 0, L, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = iptr( M-1, L-1, 1, L, M, stride, offset );
+* // returns 23
+*/
+function iptr( i, k, j, L, M, stride, offset ) {
+	var n = i + ( ( k+(j*L) ) * M );
+	return ( n*stride ) + offset;
+}
+
+/**
+* Resolves an index into the output array.
+*
+* ## Notes
+*
+* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having four "columns" corresponding to the four components of a radix-4 stage (with real and imaginary parts of each component interleaved along each sub-sequence) and where each "column" has `M` elements.
+*
+* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4`:
+*
+* ```text
+*                 j = 0 (component 0)                     j = 1 (component 1)                    j = 2 (component 2)                    j = 3 (component 3)
+* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┐
+*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │ out(0,2,0)  out(1,2,0) ... out(3,2,0) │ out(0,3,0)  out(1,3,0) ... out(3,3,0) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
+* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
+*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │ out(0,2,1)  out(1,2,1) ... out(3,2,1) │ out(0,3,1)  out(1,3,1) ... out(3,3,1) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
+* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
+*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │ out(0,2,2)  out(1,2,2) ... out(3,2,2) │ out(0,3,2)  out(1,3,2) ... out(3,3,2) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┘
+*              ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑
+*            i = 0         1             M-1           0           1             M-1           0           1             M-1           0           1             M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
+* -   `j` selects which of the four components (0, 1, 2, or 3).
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,2,0)...out(3,2,0) | out(0,3,0)...out(3,3,0) | out(0,0,1)...out(3,0,1) | ... | out(0,3,2)...out(3,3,2) |
+*       ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑                  ↑            ↑
+*       0           M-1           M          2M-1          2M          3M-1          3M         4M-1          4M          5M-1              (4L-1)M       4LM-1
+* ```
+*
+* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radf4` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
+*
+* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} j - index specifying which of the four complex components we are in (0, 1, 2, or 3)
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the output array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = optr( 0, 0, 0, M, stride, offset );
+* // returns 0
+*
+* idx = optr( 1, 0, 0, M, stride, offset );
+* // returns 1
+*
+* idx = optr( M-1, 0, 0, M, stride, offset );
+* // returns 3
+*
+* idx = optr( 0, 1, 0, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = optr( M-1, 3, L-1, M, stride, offset );
+* // returns 47
+*/
+function optr( i, j, k, M, stride, offset ) {
+	var n = i + ( ( j+(k*4) ) * M );
+	return ( n*stride ) + offset;
+}
+
+
+// MAIN //
+
+/**
+* Performs one radix-4 stage within a forward Fourier transform for a real-valued sequence.
+*
+* @private
+* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
+* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
+* @param {Collection} cc - input array containing the sub-sequences to be transformed
+* @param {integer} sc - stride length for `cc`
+* @param {NonNegativeInteger} oc - index offset for `cc`
+* @param {Collection} out - output array containing transformed sub-sequences
+* @param {integer} so - stride length for `out`
+* @param {NonNegativeInteger} oo - index offset for `out`
+* @param {Collection} twiddles1 - first array containing twiddle factors
+* @param {integer} st1 - stride length for `twiddles1`
+* @param {NonNegativeInteger} ot1 - index offset for `twiddles1`
+* @param {Collection} twiddles2 - second array containing twiddle factors
+* @param {integer} st2 - stride length for `twiddles2`
+* @param {NonNegativeInteger} ot2 - index offset for `twiddles2`
+* @param {Collection} twiddles3 - third array containing twiddle factors
+* @param {integer} st3 - stride length for `twiddles3`
+* @param {NonNegativeInteger} ot3 - index offset for `twiddles3`
+* @returns {void}
+*/
+function radf4( M, L, cc, sc, oc, out, so, oo, twiddles1, st1, ot1, twiddles2, st2, ot2, twiddles3, st3, ot3 ) { // eslint-disable-line max-params
+	var it11;
+	var it12;
+	var it21;
+	var it22;
+	var it31;
+	var it32;
+	var tr1;
+	var tr2;
+	var tr3;
+	var tr4;
+	var ti1;
+	var ti2;
+	var ti3;
+	var ti4;
+	var cr2;
+	var cr3;
+	var cr4;
+	var ci2;
+	var ci3;
+	var ci4;
+	var ip1;
+	var ip2;
+	var ip3;
+	var ip4;
+	var io;
+	var im;
+	var i;
+	var k;
+
+	/*
+	* First, perform the core butterfly for each sub-sequence being transformed.
+	*
+	* In the following loop, we handle harmonic `n = 0` for every transform. As described for `iptr`, the input array is interpreted as a three-dimensional array, containing four "rows" per sub-sequence.
+	*
+	*     row0 = input component 0    (j = 0)
+	*     row1 = input component 1    (j = 1)
+	*     row2 = input component 2    (j = 2)
+	*     row3 = input component 3    (j = 3)
+	*
+	* For a radix-4 forward FFT of a real-valued signal `x` and `n = 0`,
+	*
+	*     tr1 = row1 + row3
+	*     tr2 = row0 + row2
+	*
+	*     x[0]    = tr1 + tr2
+	*     x[2M-1] = row0 - row2
+	*     x[2M]   = row3 - row1
+	*     x[4M-1] = tr2 - tr1
+	*
+	* Because `W_4^0 = 1`, no twiddle multiplication is necessary.
+	*/
+	for ( k = 0; k < L; k++ ) {
+		ip1 = iptr( 0, k, 0, L, M, sc, oc ); // real part row 0
+		ip2 = iptr( 0, k, 1, L, M, sc, oc ); // real part row 1
+		ip3 = iptr( 0, k, 2, L, M, sc, oc ); // real part row 2
+		ip4 = iptr( 0, k, 3, L, M, sc, oc ); // real part row 3
+
+		tr1 = cc[ ip2 ] + cc[ ip4 ]; // row1 + row3
+		tr2 = cc[ ip1 ] + cc[ ip3 ]; // row0 + row2
+
+		io = optr( 0, 0, k, M, so, oo );
+		out[ io ] = tr1 + tr2;
+
+		io = optr( M-1, 3, k, M, so, oo );
+		out[ io ] = tr2 - tr1;
+
+		io = optr( M-1, 1, k, M, so, oo );
+		out[ io ] = cc[ ip1 ] - cc[ ip3 ];
+
+		io = optr( 0, 2, k, M, so, oo );
+		out[ io ] = cc[ ip4 ] - cc[ ip2 ];
+	}
+	// When the number of elements in a sub-sequence is equal to `1`, there is nothing more to do, as the above butterfly produced the full result...
+	if ( M < 2 ) {
+		return;
+	}
+	/*
+	* Next, apply the general case where we need to loop through the non-trivial harmonics.
+	*
+	* For each harmonic `n = 1, ..., M/2-1`, we need to
+	*
+	* -   recover four spectra from the four input rows.
+	* -   apply radix-4 twiddle factors to rows 1, 2, and 3, then combine with row 0 to form four output columns.
+	* -   form the following
+	*
+	*         x[4n]   = X₀ + W₂·X₂ + (W₁·X₁ + W₃·X₃)           => column 0
+	*         x[4n+1] = X₀ + W₂·X₂ - (W₁·X₁ + W₃·X₃)           => column 3
+	*         x[4n+2] = X₀ - W₂·X₂ + i·(W₁·X₁ - W₃·X₃)         => column 2
+	*         x[4n+3] = X₀ - W₂·X₂ - i·(W₁·X₁ - W₃·X₃)         => column 1
+	*
+	* The mirror index `im = M - i` selects the conjugate-symmetric partner, thus allowing the routine to read each symmetry pair only once.
+	*/
+	if ( M >= 3 ) {
+		// Loop over each sub-sequence to be transformed...
+		for ( k = 0; k < L; k++ ) {
+			// Loop over the elements in each sub-sequence...
+			for ( i = 2; i < M; i += 2 ) {
+				im = M - i; // "mirror" index
+
+				// Resolve twiddle factor indices for component 1:
+				it11 = ( (i-2)*st1 ) + ot1; // cos(θ) for component 1
+				it12 = ( (i-1)*st1 ) + ot1; // sin(θ) for component 1
+
+				// Resolve twiddle factor indices for component 2:
+				it21 = ( (i-2)*st2 ) + ot2; // cos(θ) for component 2
+				it22 = ( (i-1)*st2 ) + ot2; // sin(θ) for component 2
+
+				// Resolve twiddle factor indices for component 3:
+				it31 = ( (i-2)*st3 ) + ot3; // cos(θ) for component 3
+				it32 = ( (i-1)*st3 ) + ot3; // sin(θ) for component 3
+
+				// Load component 1 data and apply twiddle...
+				ip1 = iptr( i-1, k, 1, L, M, sc, oc ); // real part component 1
+				ip2 = iptr( i, k, 1, L, M, sc, oc );   // imag part component 1
+
+				// Apply the twiddle factors for component 1:
+				cr2 = ( twiddles1[ it11 ] * cc[ ip1 ] ) + ( twiddles1[ it12 ] * cc[ ip2 ] );
+				ci2 = ( twiddles1[ it11 ] * cc[ ip2 ] ) - ( twiddles1[ it12 ] * cc[ ip1 ] );
+
+				// Load component 2 data and apply twiddle...
+				ip1 = iptr( i-1, k, 2, L, M, sc, oc ); // real part component 2
+				ip2 = iptr( i, k, 2, L, M, sc, oc );   // imag part component 2
+
+				// Apply the twiddle factors for component 2:
+				cr3 = ( twiddles2[ it21 ] * cc[ ip1 ] ) + ( twiddles2[ it22 ] * cc[ ip2 ] );
+				ci3 = ( twiddles2[ it21 ] * cc[ ip2 ] ) - ( twiddles2[ it22 ] * cc[ ip1 ] );
+
+				// Load component 3 data and apply twiddle...
+				ip1 = iptr( i-1, k, 3, L, M, sc, oc ); // real part component 3
+				ip2 = iptr( i, k, 3, L, M, sc, oc );   // imag part component 3
+
+				// Apply the twiddle factors for component 3:
+				cr4 = ( twiddles3[ it31 ] * cc[ ip1 ] ) + ( twiddles3[ it32 ] * cc[ ip2 ] );
+				ci4 = ( twiddles3[ it31 ] * cc[ ip2 ] ) - ( twiddles3[ it32 ] * cc[ ip1 ] );
+
+				// Radix-4 butterfly intermediate computations:
+				tr1 = cr2 + cr4;
+				tr4 = cr4 - cr2;
+				ti1 = ci2 + ci4;
+				ti4 = ci2 - ci4;
+
+				// Load component 0 data and compute intermediates...
+				ip1 = iptr( i-1, k, 0, L, M, sc, oc ); // real part component 0
+				tr2 = cc[ ip1 ] + cr3;
+				tr3 = cc[ ip1 ] - cr3;
+
+				ip2 = iptr( i, k, 0, L, M, sc, oc ); // imag part component 0
+				ti2 = cc[ ip2 ] + ci3;
+				ti3 = cc[ ip2 ] - ci3;
+
+				// Output column 0 (real part):
+				io = optr( i-1, 0, k, M, so, oo );
+				out[ io ] = tr1 + tr2;
+
+				// Output column 3 (real part):
+				io = optr( im-1, 3, k, M, so, oo );
+				out[ io ] = tr2 - tr1;
+
+				// Output column 0 (imag part):
+				io = optr( i, 0, k, M, so, oo );
+				out[ io ] = ti1 + ti2;
+
+				// Output column 3 (imag part):
+				io = optr( im, 3, k, M, so, oo );
+				out[ io ] = ti1 - ti2;
+
+				// Output column 2 (real part):
+				io = optr( i-1, 2, k, M, so, oo );
+				out[ io ] = ti4 + tr3;
+
+				// Output column 1 (real part):
+				io = optr( im-1, 1, k, M, so, oo );
+				out[ io ] = tr3 - ti4;
+
+				// Output column 2 (imag part):
+				io = optr( i, 2, k, M, so, oo );
+				out[ io ] = tr4 + ti3;
+
+				// Output column 1 (imag part):
+				io = optr( im, 1, k, M, so, oo );
+				out[ io ] = tr4 - ti3;
+			}
+		}
+
+		// When `M` is odd, there is no Nyquist pair to process, so we do not need to perform any further transformations...
+		if ( M%2 === 1 ) {
+			return;
+		}
+	}
+
+	/*
+	* Lastly, handle the Nyquist frequency where `i = M-1` (i.e., the last element of each sub-sequence).
+	*
+	* When `M` is even, the Nyquist index is `i = M/2`. In this stage, we've stored that element at the end of each sub-sequence (i.e., `i = M-1` in the packed layout).
+	*
+	* At this point, only real components exist for rows 1 and 3 (imaginary parts are zero due to symmetry), and the twiddle multiplication simplifies to involve √(1/2) factors.
+	*
+	* In this case,
+	*
+	*     ti1 = -√(1/2) ⋅ (row1 + row3)
+	*     tr1 =  √(1/2) ⋅ (row1 - row3)
+	*
+	* where
+	*
+	*     row0 = Re(X₀)
+	*     row1 = Re(X₁) (imaginary part is zero)
+	*     row2 = Re(X₂)
+	*     row3 = Re(X₃) (imaginary part is zero)
+	*/
+	for ( k = 0; k < L; k++ ) {
+		ip1 = iptr( M-1, k, 1, L, M, sc, oc ); // Re(X₁)
+		ip2 = iptr( M-1, k, 3, L, M, sc, oc ); // Re(X₃)
+
+		ti1 = -SQRT_HALF * ( cc[ ip1 ] + cc[ ip2 ] );
+		tr1 = SQRT_HALF * ( cc[ ip1 ] - cc[ ip2 ] );
+
+		ip3 = iptr( M-1, k, 0, L, M, sc, oc ); // Re(X₀)
+		ip4 = iptr( M-1, k, 2, L, M, sc, oc ); // Re(X₂)
+
+		io = optr( M-1, 0, k, M, so, oo );
+		out[ io ] = cc[ ip3 ] + tr1;
+
+		io = optr( M-1, 2, k, M, so, oo );
+		out[ io ] = cc[ ip3 ] - tr1;
+
+		io = optr( 0, 1, k, M, so, oo );
+		out[ io ] = ti1 - cc[ ip4 ];
+
+		io = optr( 0, 3, k, M, so, oo );
+		out[ io ] = cc[ ip4 ] + ti1;
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = radf4;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf5.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf5.js
new file mode 100644
index 000000000000..1cbdd24536d5
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radf5.js
@@ -0,0 +1,511 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+/* eslint-disable max-len, max-statements */
+
+'use strict';
+
+// VARIABLES //
+
+// cos( 2π/5 ):
+var TR11 = 0.309016994374947;
+
+// sin( 2π/5 ):
+var TI11 = 0.951056516295154;
+
+// cos( 4π/5 ):
+var TR12 = -0.809016994374947;
+
+// sin( 4π/5 ):
+var TI12 = 0.587785252292473;
+
+
+// FUNCTIONS //
+
+/**
+* Resolves an index into the input array.
+*
+* ## Notes
+*
+* In a forward real FFT, the previous stage writes its results as five "rows" per sub-sequence.
+*
+* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having five "rows" (components 0, 1, 2, 3, and 4) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
+*
+* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
+*
+* ```text
+*       │           k = 0                    k = 1                    k = 2
+*       │ ──────────────────────────────────────────────────────────────────────────→ k
+* j = 0 │  cc(0,0,0) ... cc(3,0,0)  cc(0,1,0) ... cc(3,1,0)  cc(0,2,0) ... cc(3,2,0)
+*       │
+* j = 1 │  cc(0,0,1) ... cc(3,0,1)  cc(0,1,1) ... cc(3,1,1)  cc(0,2,1) ... cc(3,2,1)
+*       │
+* j = 2 │  cc(0,0,2) ... cc(3,0,2)  cc(0,1,2) ... cc(3,1,2)  cc(0,2,2) ... cc(3,2,2)
+*       │
+* j = 3 │  cc(0,0,3) ... cc(3,0,3)  cc(0,1,3) ... cc(3,1,3)  cc(0,2,3) ... cc(3,2,3)
+*       │
+* j = 4 │  cc(0,0,4) ... cc(3,0,4)  cc(0,1,4) ... cc(3,1,4)  cc(0,2,4) ... cc(3,2,4)
+*       └───────────────────────────────────────────────────────────────────────────→ i
+*              ↑             ↑          ↑             ↑          ↑             ↑
+*            i = 0          M-1         0            M-1         0            M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to one of the five component rows.
+* -   `j` selects between the five component rows (0, 1, 2, 3, or 4).
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) | ... | cc(0,0,4)...cc(3,0,4) ... cc(0,2,4)...cc(3,2,4) |
+*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑                 ↑           ↑             ↑           ↑
+*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1              4LM      (4L+1)M-1       (5L-1)M      5LM-1
+* ```
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} j - input row
+* @param {NonNegativeInteger} L - number of sub-sequences
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the input array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = iptr( 0, 0, 0, L, M, stride, offset );
+* // returns 0
+*
+* idx = iptr( 1, 0, 0, L, M, stride, offset );
+* // returns 1
+*
+* idx = iptr( M-1, 0, 0, L, M, stride, offset );
+* // returns 3
+*
+* idx = iptr( 0, 1, 0, L, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = iptr( M-1, L-1, 1, L, M, stride, offset );
+* // returns 23
+*/
+function iptr( i, k, j, L, M, stride, offset ) {
+	var n = i + ( ( k+(j*L) ) * M );
+	return ( n*stride ) + offset;
+}
+
+/**
+* Resolves an index into the output array.
+*
+* ## Notes
+*
+* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having five "columns" corresponding to the five components of a radix-5 stage (with real and imaginary parts of each component interleaved along each sub-sequence) and where each "column" has `M` elements.
+*
+* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4`:
+*
+* ```text
+*                 j = 0 (component 0)                     j = 1 (component 1)                    j = 2 (component 2)                    j = 3 (component 3)                    j = 4 (component 4)
+* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┐
+*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │ out(0,2,0)  out(1,2,0) ... out(3,2,0) │ out(0,3,0)  out(1,3,0) ... out(3,3,0) │ out(0,4,0)  out(1,4,0) ... out(3,4,0) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
+* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
+*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │ out(0,2,1)  out(1,2,1) ... out(3,2,1) │ out(0,3,1)  out(1,3,1) ... out(3,3,1) │ out(0,4,1)  out(1,4,1) ... out(3,4,1) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
+* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
+*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │ out(0,2,2)  out(1,2,2) ... out(3,2,2) │ out(0,3,2)  out(1,3,2) ... out(3,3,2) │ out(0,4,2)  out(1,4,2) ... out(3,4,2) │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┘
+*              ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑
+*            i = 0         1             M-1           0           1             M-1           0           1             M-1           0           1             M-1           0           1             M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
+* -   `j` selects which of the five components (0, 1, 2, 3, or 4).
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,2,0)...out(3,2,0) | out(0,3,0)...out(3,3,0) | out(0,4,0)...out(3,4,0) | out(0,0,1)...out(3,0,1) | ... | out(0,4,2)...out(3,4,2) |
+*       ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑                  ↑            ↑
+*       0           M-1           M          2M-1          2M          3M-1          3M         4M-1          4M          5M-1          5M          6M-1              (5L-1)M       5LM-1
+* ```
+*
+* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radf5` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
+*
+* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} j - index specifying which of the five complex components we are in (0, 1, 2, 3, or 4)
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the output array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = optr( 0, 0, 0, M, stride, offset );
+* // returns 0
+*
+* idx = optr( 1, 0, 0, M, stride, offset );
+* // returns 1
+*
+* idx = optr( M-1, 0, 0, M, stride, offset );
+* // returns 3
+*
+* idx = optr( 0, 1, 0, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = optr( M-1, 4, L-1, M, stride, offset );
+* // returns 59
+*/
+function optr( i, j, k, M, stride, offset ) {
+	var n = i + ( ( j+(k*5) ) * M );
+	return ( n*stride ) + offset;
+}
+
+
+// MAIN //
+
+/**
+* Performs one radix-5 stage within a forward Fourier transform for a real-valued sequence.
+*
+* @private
+* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
+* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
+* @param {Collection} cc - input array containing the sub-sequences to be transformed
+* @param {integer} sc - stride length for `cc`
+* @param {NonNegativeInteger} oc - index offset for `cc`
+* @param {Collection} out - output array containing transformed sub-sequences
+* @param {integer} so - stride length for `out`
+* @param {NonNegativeInteger} oo - index offset for `out`
+* @param {Collection} twiddles1 - first array containing twiddle factors
+* @param {integer} st1 - stride length for `twiddles1`
+* @param {NonNegativeInteger} ot1 - index offset for `twiddles1`
+* @param {Collection} twiddles2 - second array containing twiddle factors
+* @param {integer} st2 - stride length for `twiddles2`
+* @param {NonNegativeInteger} ot2 - index offset for `twiddles2`
+* @param {Collection} twiddles3 - third array containing twiddle factors
+* @param {integer} st3 - stride length for `twiddles3`
+* @param {NonNegativeInteger} ot3 - index offset for `twiddles3`
+* @param {Collection} twiddles4 - fourth array containing twiddle factors
+* @param {integer} st4 - stride length for `twiddles4`
+* @param {NonNegativeInteger} ot4 - index offset for `twiddles4`
+* @returns {void}
+*/
+function radf5( M, L, cc, sc, oc, out, so, oo, twiddles1, st1, ot1, twiddles2, st2, ot2, twiddles3, st3, ot3, twiddles4, st4, ot4 ) { // eslint-disable-line max-params
+	var it11;
+	var it12;
+	var it21;
+	var it22;
+	var it31;
+	var it32;
+	var it41;
+	var it42;
+	var ci2;
+	var ci3;
+	var ci4;
+	var ci5;
+	var cr2;
+	var cr3;
+	var cr4;
+	var cr5;
+	var dr2;
+	var dr3;
+	var dr4;
+	var dr5;
+	var di2;
+	var di3;
+	var di4;
+	var di5;
+	var ti2;
+	var ti3;
+	var ti4;
+	var ti5;
+	var tr2;
+	var tr3;
+	var tr4;
+	var tr5;
+	var ip1;
+	var ip2;
+	var ip3;
+	var ip4;
+	var ip5;
+	var io;
+	var im;
+	var i;
+	var k;
+
+	/*
+	* First, perform the core butterfly for each sub-sequence being transformed.
+	*
+	* In the following loop, we handle harmonic `n = 0` for every transform. As described for `iptr`, the input array is interpreted as a three-dimensional array, containing five "rows" per sub-sequence.
+	*
+	*     row0 = input component 0    (j = 0)
+	*     row1 = input component 1    (j = 1)
+	*     row2 = input component 2    (j = 2)
+	*     row3 = input component 3    (j = 3)
+	*     row4 = input component 4    (j = 4)
+	*
+	* For a radix-5 forward FFT of a real-valued signal `x` and `n = 0`,
+	*
+	*     cr2 = row4 + row1
+	*     ci5 = row4 - row1
+	*     cr3 = row3 + row2
+	*     ci4 = row3 - row2
+	*
+	*     x[0]   = row0 + cr2 + cr3
+	*     x[M]   = row0 + ( TR11*cr2 ) + ( TR12*cr3 )
+	*     x[2M]  = ( TI11*ci5 ) + ( TI12*ci4 )
+	*     x[3M]  = row0 + ( TR12*cr2 ) + ( TR11*cr3 )
+	*     x[4M]  = ( TI12*ci5 ) - ( TI11*ci4 )
+	*
+	* Because `W_5^0 = 1`, no frequency-dependent twiddle multiplication is necessary beyond these constant factors.
+	*/
+	for ( k = 0; k < L; k++ ) {
+		ip1 = iptr( 0, k, 0, L, M, sc, oc ); // row 0
+		ip2 = iptr( 0, k, 1, L, M, sc, oc ); // row 1
+		ip3 = iptr( 0, k, 2, L, M, sc, oc ); // row 2
+		ip4 = iptr( 0, k, 3, L, M, sc, oc ); // row 3
+		ip5 = iptr( 0, k, 4, L, M, sc, oc ); // row 4
+
+		cr2 = cc[ ip5 ] + cc[ ip2 ]; // row4 + row1
+		ci5 = cc[ ip5 ] - cc[ ip2 ]; // row4 - row1
+		cr3 = cc[ ip4 ] + cc[ ip3 ]; // row3 + row2
+		ci4 = cc[ ip4 ] - cc[ ip3 ]; // row3 - row2
+
+		io = optr( 0, 0, k, M, so, oo );
+		out[ io ] = cc[ ip1 ] + cr2 + cr3;
+
+		io = optr( M-1, 1, k, M, so, oo );
+		out[ io ] = cc[ ip1 ] + ( TR11 * cr2 ) + ( TR12 * cr3 );
+
+		io = optr( 0, 2, k, M, so, oo );
+		out[ io ] = ( TI11 * ci5 ) + ( TI12 * ci4 );
+
+		io = optr( M-1, 3, k, M, so, oo );
+		out[ io ] = cc[ ip1 ] + ( TR12 * cr2 ) + ( TR11 * cr3 );
+
+		io = optr( 0, 4, k, M, so, oo );
+		out[ io ] = ( TI12 * ci5 ) - ( TI11 * ci4 );
+	}
+	// When the number of elements in a sub-sequence is less than `2`, there is nothing more to do, as the above butterfly produced the full result...
+	if ( M < 2 ) {
+		return;
+	}
+	/*
+	* Next, apply the general case where we need to loop through the non-trivial harmonics.
+	*
+	* For each harmonic `n = 1, ..., M/2-1`, we need to
+	*
+	* -   recover five spectra from the five input rows.
+	* -   apply radix-5 twiddle factors to rows 1, 2, 3, and 4, then combine with row 0 to form five output columns.
+	* -   form the following
+	*
+	*         x[5n]   = X₀ + (W₁⋅X₁ + W₄⋅X₄) + (W₂⋅X₂ + W₃⋅X₃)                                                                     => column 0
+	*         x[5n+1] = X₀ + TR11⋅(W₁⋅X₁ + W₄⋅X₄) + TR12⋅(W₂⋅X₂ + W₃⋅X₃) - i⋅(TI11⋅(W₁⋅X₁ - W₄⋅X₄) + TI12⋅(W₂⋅X₂ - W₃⋅X₃))         => column 1
+	*         x[5n+2] = X₀ + TR11⋅(W₁⋅X₁ + W₄⋅X₄) + TR12⋅(W₂⋅X₂ + W₃⋅X₃) + i⋅(TI11⋅(W₁⋅X₁ - W₄⋅X₄) + TI12⋅(W₂⋅X₂ - W₃⋅X₃))         => column 2
+	*         x[5n+3] = X₀ + TR12⋅(W₁⋅X₁ + W₄⋅X₄) + TR11⋅(W₂⋅X₂ + W₃⋅X₃) - i⋅(TI12⋅(W₁⋅X₁ - W₄⋅X₄) - TI11⋅(W₂⋅X₂ - W₃⋅X₃))         => column 3
+	*         x[5n+4] = X₀ + TR12⋅(W₁⋅X₁ + W₄⋅X₄) + TR11⋅(W₂⋅X₂ + W₃⋅X₃) + i⋅(TI12⋅(W₁⋅X₁ - W₄⋅X₄) - TI11⋅(W₂⋅X₂ - W₃⋅X₃))         => column 4
+	*
+	* The mirror index `im = M - i` selects the conjugate-symmetric partner, thus allowing the routine to read each symmetry pair only once.
+	*/
+	// Loop over each sub-sequence to be transformed...
+	for ( k = 0; k < L; k++ ) {
+		// Loop over the elements in each sub-sequence...
+		for ( i = 2; i < M; i += 2 ) {
+			im = M - i; // "mirror" index
+
+			// Resolve twiddle factor indices for component 1:
+			it11 = ( (i-2)*st1 ) + ot1; // cos(θ) for component 1
+			it12 = ( (i-1)*st1 ) + ot1; // sin(θ) for component 1
+
+			// Resolve twiddle factor indices for component 2:
+			it21 = ( (i-2)*st2 ) + ot2; // cos(θ) for component 2
+			it22 = ( (i-1)*st2 ) + ot2; // sin(θ) for component 2
+
+			// Resolve twiddle factor indices for component 3:
+			it31 = ( (i-2)*st3 ) + ot3; // cos(θ) for component 3
+			it32 = ( (i-1)*st3 ) + ot3; // sin(θ) for component 3
+
+			// Resolve twiddle factor indices for component 4:
+			it41 = ( (i-2)*st4 ) + ot4; // cos(θ) for component 4
+			it42 = ( (i-1)*st4 ) + ot4; // sin(θ) for component 4
+
+			// Load component 1 data and apply twiddle...
+			ip1 = iptr( i-1, k, 1, L, M, sc, oc ); // real part component 1
+			ip2 = iptr( i, k, 1, L, M, sc, oc );   // imag part component 1
+
+			// Apply the twiddle factors for component 1:
+			dr2 = ( twiddles1[ it11 ] * cc[ ip1 ] ) + ( twiddles1[ it12 ] * cc[ ip2 ] ); // Re(dr2)
+			di2 = ( twiddles1[ it11 ] * cc[ ip2 ] ) - ( twiddles1[ it12 ] * cc[ ip1 ] ); // Im(di2)
+
+			// Load component 2 data and apply twiddle...
+			ip1 = iptr( i-1, k, 2, L, M, sc, oc ); // real part component 2
+			ip2 = iptr( i, k, 2, L, M, sc, oc );   // imag part component 2
+
+			// Apply the twiddle factors for component 2:
+			dr3 = ( twiddles2[ it21 ] * cc[ ip1 ] ) + ( twiddles2[ it22 ] * cc[ ip2 ] ); // Re(dr3)
+			di3 = ( twiddles2[ it21 ] * cc[ ip2 ] ) - ( twiddles2[ it22 ] * cc[ ip1 ] ); // Im(di3)
+
+			// Load component 3 data and apply twiddle...
+			ip1 = iptr( i-1, k, 3, L, M, sc, oc ); // real part component 3
+			ip2 = iptr( i, k, 3, L, M, sc, oc );   // imag part component 3
+
+			// Apply the twiddle factors for component 3:
+			dr4 = ( twiddles3[ it31 ] * cc[ ip1 ] ) + ( twiddles3[ it32 ] * cc[ ip2 ] ); // Re(dr4)
+			di4 = ( twiddles3[ it31 ] * cc[ ip2 ] ) - ( twiddles3[ it32 ] * cc[ ip1 ] ); // Im(di4)
+
+			// Load component 4 data and apply twiddle...
+			ip1 = iptr( i-1, k, 4, L, M, sc, oc ); // real part component 4
+			ip2 = iptr( i, k, 4, L, M, sc, oc );   // imag part component 4
+
+			// Apply the twiddle factors for component 4:
+			dr5 = ( twiddles4[ it41 ] * cc[ ip1 ] ) + ( twiddles4[ it42 ] * cc[ ip2 ] ); // Re(dr5)
+			di5 = ( twiddles4[ it41 ] * cc[ ip2 ] ) - ( twiddles4[ it42 ] * cc[ ip1 ] ); // Im(di5)
+
+			// Radix-5 butterfly intermediate computations (symmetric/antisymmetric combinations):
+			cr2 = dr2 + dr5;
+			ci5 = dr5 - dr2;
+			cr5 = di2 - di5;
+			ci2 = di5 + di2;
+			cr3 = dr3 + dr4;
+			ci4 = dr4 - dr3;
+			cr4 = di3 - di4;
+			ci3 = di3 + di4;
+
+			// Output column 0 (real part):
+			ip1 = iptr( i-1, k, 0, L, M, sc, oc );
+			io = optr( i-1, 0, k, M, so, oo );
+			out[ io ] = cc[ ip1 ] + cr2 + cr3;
+
+			// Output column 0 (imag part):
+			ip2 = iptr( i, k, 0, L, M, sc, oc );
+			io = optr( i, 0, k, M, so, oo );
+			out[ io ] = cc[ ip2 ] + ci2 + ci3;
+
+			// Load component 0 data and compute intermediates...
+			tr2 = cc[ ip1 ] + ( TR11 * cr2 ) + ( TR12 * cr3 );
+			ti2 = cc[ ip2 ] + ( TR11 * ci2 ) + ( TR12 * ci3 );
+			tr3 = cc[ ip1 ] + ( TR12 * cr2 ) + ( TR11 * cr3 );
+			ti3 = cc[ ip2 ] + ( TR12 * ci2 ) + ( TR11 * ci3 );
+
+			// Additional intermediates:
+			tr5 = ( TI11 * cr5 ) + ( TI12 * cr4 );
+			ti5 = ( TI11 * ci5 ) + ( TI12 * ci4 );
+			tr4 = ( TI12 * cr5 ) - ( TI11 * cr4 );
+			ti4 = ( TI12 * ci5 ) - ( TI11 * ci4 );
+
+			// Output column 2 (real part):
+			io = optr( i-1, 2, k, M, so, oo );
+			out[ io ] = tr2 + tr5;
+
+			// Output column 1 (real part):
+			io = optr( im-1, 1, k, M, so, oo );
+			out[ io ] = tr2 - tr5;
+
+			// Output column 2 (imag part):
+			io = optr( i, 2, k, M, so, oo );
+			out[ io ] = ti2 + ti5;
+
+			// Output column 1 (imag part):
+			io = optr( im, 1, k, M, so, oo );
+			out[ io ] = ti5 - ti2;
+
+			// Output column 4 (real part):
+			io = optr( i-1, 4, k, M, so, oo );
+			out[ io ] = tr3 + tr4;
+
+			// Output column 3 (real part):
+			io = optr( im-1, 3, k, M, so, oo );
+			out[ io ] = tr3 - tr4;
+
+			// Output column 4 (imag part):
+			io = optr( i, 4, k, M, so, oo );
+			out[ io ] = ti3 + ti4;
+
+			// Output column 3 (imag part):
+			io = optr( im, 3, k, M, so, oo );
+			out[ io ] = ti4 - ti3;
+		}
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = radf5;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radfg.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radfg.js
new file mode 100644
index 000000000000..dd1f5424bbe7
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/radfg.js
@@ -0,0 +1,765 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+/* eslint-disable max-len, max-statements, max-lines-per-function */
+
+'use strict';
+
+// MODULES //
+
+var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
+var cos = require( '@stdlib/math/base/special/cos' );
+var sin = require( '@stdlib/math/base/special/sin' );
+var floor = require( '@stdlib/math/base/special/floor' );
+
+
+// FUNCTIONS //
+
+/**
+* Resolves an index into the input array.
+*
+* ## Notes
+*
+* In a forward real FFT, the previous stage writes its results as `R` "rows" per sub-sequence.
+*
+* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having `R` "rows" (components 0, 1, 2, ..., R-1) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
+*
+* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
+*
+* ```text
+*       │           k = 0                        k = 1                        k = 2
+*       │ ─────────────────────────────────────────────────────────────────────────────────────→ k
+* j = 0 │  cc(0,0,0) ... cc(3,0,0)      cc(0,1,0) ... cc(3,1,0)      cc(0,2,0) ... cc(3,2,0)
+*       │
+* j = 1 │  cc(0,0,1) ... cc(3,0,1)      cc(0,1,1) ... cc(3,1,1)      cc(0,2,1) ... cc(3,2,1)
+*       │
+* j = 2 │  cc(0,0,2) ... cc(3,0,2)      cc(0,1,2) ... cc(3,1,2)      cc(0,2,2) ... cc(3,2,2)
+*       │
+* j = 3 │  cc(0,0,3) ... cc(3,0,3)      cc(0,1,3) ... cc(3,1,3)      cc(0,2,3) ... cc(3,2,3)
+*       │
+*  ...  │           ...                      ...                      ...
+*       │
+* j=R-1 │  cc(0,0,R-1) ... cc(3,0,R-1)  cc(0,1,R-1) ... cc(3,1,R-1)  cc(0,2,R-1) ... cc(3,2,R-1)
+*       └──────────────────────────────────────────────────────────────────────────────────────→ i
+*              ↑             ↑              ↑             ↑              ↑             ↑
+*            i = 0          M-1             0            M-1             0            M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to one of the R component rows.
+* -   `j` selects between the R component rows (0, 1, 2, ..., R-1).
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) | ... | cc(0,0,R-1)...cc(3,0,R-1) ... cc(0,2,R-1)...cc(3,2,R-1) |
+*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑                 ↑           ↑                 ↑               ↑
+*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1           (R-1)LM    ((R-1)L+1)M-1       (RL-1)M          RLM-1
+* ```
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} j - input row
+* @param {NonNegativeInteger} L - number of sub-sequences
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the input array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = iptr( 0, 0, 0, L, M, stride, offset );
+* // returns 0
+*
+* idx = iptr( 1, 0, 0, L, M, stride, offset );
+* // returns 1
+*
+* idx = iptr( M-1, 0, 0, L, M, stride, offset );
+* // returns 3
+*
+* idx = iptr( 0, 1, 0, L, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = iptr( M-1, L-1, 6, L, M, stride, offset );
+* // returns 83
+*/
+function iptr( i, k, j, L, M, stride, offset ) {
+	var n = i + ( ( k+(j*L) ) * M );
+	return ( n*stride ) + offset;
+}
+
+/**
+* Resolves an index into the output array.
+*
+* ## Notes
+*
+* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having `R` "columns" corresponding to the `R` components of a radix-R stage (with real and imaginary parts of each component interleaved along each sub-sequence) and where each "column" has `M` elements.
+*
+* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4` for an arbitrary radix `R`:
+*
+* ```text
+*                 j = 0 (component 0)                     j = 1 (component 1)                    j = 2 (component 2)                                ...                                  j = R-1 (component R-1)
+* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────────────┐
+*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │ out(0,2,0)  out(1,2,0) ... out(3,2,0) │                  ...                  │ out(0,R-1,0)  out(1,R-1,0) ... out(3,R-1,0)   │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────────────┤
+* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────────────┤
+*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │ out(0,2,1)  out(1,2,1) ... out(3,2,1) │                  ...                  │ out(0,R-1,1)  out(1,R-1,1) ... out(3,R-1,1)   │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────────────┤
+* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────────────┤
+*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │ out(0,2,2)  out(1,2,2) ... out(3,2,2) │                  ...                  │ out(0,R-1,2)  out(1,R-1,2) ... out(3,R-1,2)   │
+*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────────────┘
+*              ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑                                                        ↑             ↑                ↑
+*            i = 0         1             M-1           0           1             M-1           0           1             M-1                                                       0             1               M-1
+* ```
+*
+* In the above,
+*
+* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
+* -   `j` selects which of the R components we are in (0, 1, 2, ..., R-1).
+* -   `k` specifies the index of one of the `L` independent transforms we are processing.
+*
+* In linear memory, the three-dimensional logical view is arranged as follows:
+*
+* ```text
+* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,2,0)...out(3,2,0) | ... | out(0,R-1,0)...out(3,R-1,0) | out(0,0,1)...out(3,0,1) | ... | out(0,R-1,2)...out(3,R-1,2) |
+*       ↑            ↑            ↑            ↑            ↑            ↑                   ↑              ↑             ↑            ↑                   ↑              ↑
+*       0           M-1           M          2M-1          2M          3M-1               (R-1)M          RM-1           RM         (R+1)M-1            (RL-1)M         RLM-1
+* ```
+*
+* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radfg` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
+*
+* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
+*
+* @private
+* @param {NonNegativeInteger} i - index of an element within a sub-sequence
+* @param {NonNegativeInteger} j - index specifying which of the R complex components we are in (0, 1, ..., R-1)
+* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
+* @param {NonNegativeInteger} R - radix
+* @param {NonNegativeInteger} M - sub-sequence length
+* @param {integer} stride - stride length of the output array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+*
+* var idx = optr( 0, 0, 0, 7, M, stride, offset );
+* // returns 0
+*
+* idx = optr( 1, 0, 0, 7, M, stride, offset );
+* // returns 1
+*
+* idx = optr( M-1, 0, 0, 7, M, stride, offset );
+* // returns 3
+*
+* idx = optr( 0, 1, 0, 7, M, stride, offset );
+* // returns 4
+*
+* // ...
+*
+* idx = optr( M-1, 6, L-1, 7, M, stride, offset );
+* // returns 83
+*/
+function optr( i, j, k, R, M, stride, offset ) {
+	var n = i + ( ( j+(k*R) ) * M );
+	return ( n*stride ) + offset;
+}
+
+/**
+* Resolves an index into a flattened workspace array.
+*
+* ## Notes
+*
+* During the general radix stage, flattened workspace arrays store `ML = M * L` elements for each of the `R` component columns. Both the flattened input and output workspace arrays share the same `[ML, R]` logical layout.
+*
+* Thus, when accessing a flattened workspace array stored in linear memory, we can reinterpret the array as a two-dimensional logical view having `R` component columns, where each column has `ML` elements.
+*
+* Accordingly, the following is a logical view of a flattened workspace array (zero-based indexing) having flattened dimension `ML` and arbitrary radix `R`:
+*
+* ```text
+*           │   j = 0          j = 1          j = 2          ...         j = R-1
+*           │ ────────────────────────────────────────────────────────────────────────→ j
+* ik = 0    │  ws(0,0)        ws(0,1)        ws(0,2)         ...        ws(0,R-1)
+*           │
+* ik = 1    │  ws(1,0)        ws(1,1)        ws(1,2)         ...        ws(1,R-1)
+*           │
+* ik = 2    │  ws(2,0)        ws(2,1)        ws(2,2)         ...        ws(2,R-1)
+*           │
+* ik = 3    │  ws(3,0)        ws(3,1)        ws(3,2)         ...        ws(3,R-1)
+*           │
+*  ...      │    ...            ...            ...           ...            ...
+*           │
+* ik = ML-1 │  ws(ML-1,0)     ws(ML-1,1)     ws(ML-1,2)      ...       ws(ML-1,R-1)
+* ```
+*
+* In the above,
+*
+* -   `ik` is the fastest varying index, which walks along the flattened sub-sequence dimension.
+* -   `j` selects between the `R` workspace component columns (0, 1, 2, ..., R-1).
+*
+* In linear memory, the two-dimensional logical view is arranged as follows:
+*
+* ```text
+* | ws(0,0)...ws(ML-1,0) | ws(0,1)...ws(ML-1,1) | ws(0,2)...ws(ML-1,2) | ... | ws(0,R-1)...ws(ML-1,R-1) |
+*      ↑           ↑          ↑           ↑          ↑          ↑                  ↑            ↑
+*      0          ML-1        ML        2ML-1       2ML       3ML-1             (R-1)ML       RML-1
+* ```
+*
+* Here, the original `M` and `L` dimensions have been collapsed into the single flattened `ik` dimension. Each workspace component `j` therefore occupies one contiguous block of `ML` elements in linear memory.
+*
+* @private
+* @param {NonNegativeInteger} ik - index of an element within a flattened sub-sequence
+* @param {NonNegativeInteger} j - index specifying which of the R workspace component columns we are in (0, 1, ..., R-1)
+* @param {NonNegativeInteger} ML - flattened sub-sequence length
+* @param {integer} stride - stride length of the flattened workspace array
+* @param {NonNegativeInteger} offset - index specifying the first indexed element in the flattened workspace array
+* @returns {NonNegativeInteger} computed index
+*
+* @example
+* var stride = 1;
+* var offset = 0;
+*
+* var M = 4; // sub-sequence length
+* var L = 3; // number of sub-sequences
+* var ML = M * L; // flattened dimension ( 4*3 = 12 )
+*
+* var idx = fptr( 0, 0, ML, stride, offset );
+* // returns 0
+*
+* idx = fptr( 1, 0, ML, stride, offset );
+* // returns 1
+*
+* idx = fptr( ML-1, 0, ML, stride, offset );
+* // returns 11
+*
+* idx = fptr( 0, 1, ML, stride, offset );
+* // returns 12
+*
+* // ...
+*
+* idx = fptr( ML-1, 6, ML, stride, offset );
+* // returns 83
+*/
+function fptr( ik, j, ML, stride, offset ) {
+	var n = ik + ( j*ML );
+	return ( n*stride ) + offset;
+}
+
+
+// MAIN //
+
+/**
+* Performs one general radix stage within a forward Fourier transform for a real-valued sequence.
+*
+* @private
+* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
+* @param {NonNegativeInteger} R - radix of the transform
+* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
+* @param {NonNegativeInteger} ML - number of elements in each flattened sub-sequence (`M*L`)
+* @param {Collection} cc - input array containing the sub-sequences to be transformed
+* @param {integer} sc - stride length for `cc`
+* @param {NonNegativeInteger} oc - index offset for `cc`
+* @param {Collection} c1 - input workspace array containing intermediate sub-sequences to be transformed
+* @param {integer} sc1 - stride length for `c1`
+* @param {NonNegativeInteger} oc1 - index offset for `c1`
+* @param {Collection} c2 - flattened input workspace array containing intermediate sub-sequences
+* @param {integer} sc2 - stride length for `c2`
+* @param {NonNegativeInteger} oc2 - index offset for `c2`
+* @param {Collection} ch - output array containing transformed sequences
+* @param {integer} sch - stride length for `ch`
+* @param {NonNegativeInteger} och - index offset for `ch`
+* @param {Collection} ch2 - flattened output workspace array containing intermediate sub-sequences
+* @param {integer} sch2 - stride length for `ch2`
+* @param {NonNegativeInteger} och2 - index offset for `ch2`
+* @param {Collection} twiddles - array of twiddle factors
+* @param {integer} stw - stride length for `twiddles`
+* @param {NonNegativeInteger} otw - index offset for `twiddles`
+* @returns {void}
+*/
+function radfg( M, R, L, ML, cc, sc, oc, c1, sc1, oc1, c2, sc2, oc2, ch, sch, och, ch2, sch2, och2, twiddles, stw, otw ) { // eslint-disable-line max-params
+	var ar1h;
+	var ar2h;
+	var idij;
+	var ic2o;
+	var ic1o;
+	var ich;
+	var icc;
+	var Rph;
+	var Rp1;
+	var ih1;
+	var ih2;
+	var ih3;
+	var ih4;
+	var ic1;
+	var ic2;
+	var ic3;
+	var ic4;
+	var it1;
+	var it2;
+	var io1;
+	var io2;
+	var io3;
+	var io4;
+	var dc2;
+	var ai1;
+	var ai2;
+	var ar1;
+	var ar2;
+	var ds2;
+	var nbd;
+	var dcp;
+	var dsp;
+	var im;
+	var ik;
+	var is;
+	var jc;
+	var lc;
+	var j2;
+	var i;
+	var j;
+	var k;
+	var l;
+
+	// Compute the basic rotation angle for the radix-R DFT matrix:
+	dcp = cos( TWO_PI / R ); // cos(2π/R)
+	dsp = sin( TWO_PI / R ); // sin(2π/R)
+
+	// Compute half the radix, rounded up, which is used as the exclusive upper bound for conjugate-symmetric component loops:
+	Rph = floor( ( R + 1 ) / 2 );
+	Rp1 = R + 1;
+
+	// Compute the number of non-DC complex harmonics in each sub-sequence:
+	nbd = floor( ( M - 1 ) / 2 );
+
+	/*
+	* First, initialize the work arrays for the general-radix butterfly.
+	*
+	* At this stage, each sub-sequence has already been split into `R` radix components. The `j = 0` component is carried in the flattened work arrays, while the remaining components `j = 1, ..., R-1` are carried in the three-dimensional work arrays.
+	*
+	* For harmonic `n = 0`, we only copy the DC terms.
+	*
+	* For harmonics `n = 1, ..., floor((M-1)/2)`, each nonzero radix component is multiplied by its stage twiddle factor and stored in `ch`.
+	*/
+	if ( M === 1 ) {
+		// Copy the DC column from the flattened output workspace back to the flattened input workspace...
+		for ( ik = 0; ik < ML; ik++ ) {
+			ic2o = fptr( ik, 0, ML, sc2, oc2 );
+			ich = fptr( ik, 0, ML, sch2, och2 );
+			c2[ ic2o ] = ch2[ ich ];
+		}
+	} else {
+		// Copy the DC column into the flattened output workspace...
+		for ( ik = 0; ik < ML; ik++ ) {
+			ich = fptr( ik, 0, ML, sch2, och2 );
+			ic2o = fptr( ik, 0, ML, sc2, oc2 );
+			ch2[ ich ] = c2[ ic2o ];
+		}
+
+		// Copy the DC terms for the remaining radix components...
+		for ( j = 1; j < R; j++ ) {
+			for ( k = 0; k < L; k++ ) {
+				ih1 = optr( 0, k, j, L, M, sch, och );
+				ic1 = iptr( 0, k, j, L, M, sc1, oc1 );
+				ch[ ih1 ] = c1[ ic1 ];
+			}
+		}
+
+		// Apply twiddle factors to the non-DC harmonics of the remaining radix components...
+		if ( nbd <= L ) {
+			// Loop over harmonics before sub-sequences...
+			is = 0;
+			for ( j = 1; j < R; j++ ) {
+				idij = is;
+				for ( i = 2; i < M; i += 2 ) {
+					for ( k = 0; k < L; k++ ) {
+						// Resolve output indices in ch:
+						ih1 = optr( i-1, k, j, L, M, sch, och ); // real part
+						ih2 = optr( i, k, j, L, M, sch, och );   // imaginary part
+
+						// Resolve indices in the input workspace:
+						ic1 = iptr( i-1, k, j, L, M, sc1, oc1 ); // real part
+						ic2 = iptr( i, k, j, L, M, sc1, oc1 );   // imaginary part
+
+						// Resolve twiddle factor indices:
+						it1 = ( idij * stw ) + otw;     // cos(θ)
+						it2 = ( (idij+1) * stw ) + otw; // sin(θ)
+
+						// Apply the twiddle factor:
+						ch[ ih1 ] = ( twiddles[ it1 ] * c1[ ic1 ] ) + ( twiddles[ it2 ] * c1[ ic2 ] ); // Re(ch)
+						ch[ ih2 ] = ( twiddles[ it1 ] * c1[ ic2 ] ) - ( twiddles[ it2 ] * c1[ ic1 ] ); // Im(ch)
+					}
+					idij += 2;
+				}
+				is += M;
+			}
+		} else {
+			// Loop over sub-sequences before harmonics...
+			is = 0;
+			for ( j = 1; j < R; j++ ) {
+				for ( k = 0; k < L; k++ ) {
+					idij = is;
+					for ( i = 2; i < M; i += 2 ) {
+						// Resolve output indices in ch:
+						ih1 = optr( i-1, k, j, L, M, sch, och ); // real part
+						ih2 = optr( i, k, j, L, M, sch, och );   // imaginary part
+
+						// Resolve indices in the input workspace:
+						ic1 = iptr( i-1, k, j, L, M, sc1, oc1 ); // real part
+						ic2 = iptr( i, k, j, L, M, sc1, oc1 );   // imaginary part
+
+						// Resolve twiddle factor indices:
+						it1 = ( idij * stw ) + otw;     // cos(θ)
+						it2 = ( (idij+1) * stw ) + otw; // sin(θ)
+
+						// Apply the twiddle factor:
+						ch[ ih1 ] = ( twiddles[ it1 ] * c1[ ic1 ] ) + ( twiddles[ it2 ] * c1[ ic2 ] ); // Re(ch)
+						ch[ ih2 ] = ( twiddles[ it1 ] * c1[ ic2 ] ) - ( twiddles[ it2 ] * c1[ ic1 ] ); // Im(ch)
+
+						idij += 2;
+					}
+				}
+				is += M;
+			}
+		}
+
+		/*
+		* Next, combine mirrored radix components, storing their sums and differences in c1.
+		*/
+		if ( nbd >= L ) {
+			// Loop over sub-sequences before harmonics...
+			for ( j = 1; j < Rph; j++ ) {
+				jc = Rp1 - j - 1; // "mirror" index
+				for ( k = 0; k < L; k++ ) {
+					for ( i = 2; i < M; i += 2 ) {
+						// Resolve ch indices for component j:
+						ih1 = optr( i-1, k, j, L, M, sch, och ); // Re(ch[j])
+						ih2 = optr( i, k, j, L, M, sch, och );   // Im(ch[j])
+
+						// Resolve ch indices for conjugate component jc:
+						ih3 = optr( i-1, k, jc, L, M, sch, och ); // Re(ch[jc])
+						ih4 = optr( i, k, jc, L, M, sch, och );   // Im(ch[jc])
+
+						// Resolve input-workspace indices for component j:
+						ic1 = iptr( i-1, k, j, L, M, sc1, oc1 ); // Re(component j)
+						ic2 = iptr( i, k, j, L, M, sc1, oc1 );   // Im(component j)
+
+						// Resolve input-workspace indices for component jc:
+						ic3 = iptr( i-1, k, jc, L, M, sc1, oc1 ); // Re(component jc)
+						ic4 = iptr( i, k, jc, L, M, sc1, oc1 );   // Im(component jc)
+
+						// Form the sum and difference combinations:
+						c1[ ic1 ] = ch[ ih1 ] + ch[ ih3 ]; // Re(j) + Re(jc)
+						c1[ ic3 ] = ch[ ih2 ] - ch[ ih4 ]; // Im(j) - Im(jc)
+						c1[ ic2 ] = ch[ ih2 ] + ch[ ih4 ]; // Im(j) + Im(jc)
+						c1[ ic4 ] = ch[ ih3 ] - ch[ ih1 ]; // Re(jc) - Re(j)
+					}
+				}
+			}
+		} else {
+			// Loop over harmonics before sub-sequences...
+			for ( j = 1; j < Rph; j++ ) {
+				jc = Rp1 - j - 1; // "mirror" index
+				for ( i = 2; i < M; i += 2 ) {
+					for ( k = 0; k < L; k++ ) {
+						// Resolve ch indices for component j:
+						ih1 = optr( i-1, k, j, L, M, sch, och ); // Re(ch[j])
+						ih2 = optr( i, k, j, L, M, sch, och );   // Im(ch[j])
+
+						// Resolve ch indices for conjugate component jc:
+						ih3 = optr( i-1, k, jc, L, M, sch, och ); // Re(ch[jc])
+						ih4 = optr( i, k, jc, L, M, sch, och );   // Im(ch[jc])
+
+						// Resolve input-workspace indices for component j:
+						ic1 = iptr( i-1, k, j, L, M, sc1, oc1 ); // Re(component j)
+						ic2 = iptr( i, k, j, L, M, sc1, oc1 );   // Im(component j)
+
+						// Resolve input-workspace indices for component jc:
+						ic3 = iptr( i-1, k, jc, L, M, sc1, oc1 ); // Re(component jc)
+						ic4 = iptr( i, k, jc, L, M, sc1, oc1 );   // Im(component jc)
+
+						// Form the sum and difference combinations:
+						c1[ ic1 ] = ch[ ih1 ] + ch[ ih3 ]; // Re(j) + Re(jc)
+						c1[ ic3 ] = ch[ ih2 ] - ch[ ih4 ]; // Im(j) - Im(jc)
+						c1[ ic2 ] = ch[ ih2 ] + ch[ ih4 ]; // Im(j) + Im(jc)
+						c1[ ic4 ] = ch[ ih3 ] - ch[ ih1 ]; // Re(jc) - Re(j)
+					}
+				}
+			}
+		}
+	}
+
+	// Combine the DC terms for each conjugate-symmetric component pair...
+	for ( j = 1; j < Rph; j++ ) {
+		jc = Rp1 - j - 1; // "mirror" index
+		for ( k = 0; k < L; k++ ) {
+			ih1 = optr( 0, k, j, L, M, sch, och );
+			ih2 = optr( 0, k, jc, L, M, sch, och );
+
+			ic1 = iptr( 0, k, j, L, M, sc1, oc1 );
+			ic2 = iptr( 0, k, jc, L, M, sc1, oc1 );
+
+			c1[ ic1 ] = ch[ ih1 ] + ch[ ih2 ];
+			c1[ ic2 ] = ch[ ih2 ] - ch[ ih1 ];
+		}
+	}
+
+	/*
+	* Next, apply the radix-`R` DFT matrix.
+	*
+	* For each mirrored output pair, accumulate the contributions of the radix components in the flattened work array.
+	*
+	* The required rotation factors are generated recursively from the previous ones:
+	*
+	*     W_l = W_{l-1} ⋅ W_1
+	*     W_{lj} = W_{l(j-1)} ⋅ W_l
+	*
+	* Here, `W_1` is the basic radix-`R` rotation, `W_{l-1}` and `W_l` are the previous and current outer factors, and `W_{l(j-1)}` and `W_{lj}` are the previous and current inner factors.
+	*/
+	ar1 = 1.0; // Re(W_0)
+	ai1 = 0.0; // Im(W_0)
+	for ( l = 1; l < Rph; l++ ) {
+		lc = Rp1 - l - 1; // "mirror" index
+
+		// Advance the rotation factor by one step: W_l = W_{l-1} ⋅ W_1
+		ar1h = ( dcp * ar1 ) - ( dsp * ai1 ); // Re(W_l)
+		ai1 = ( dcp * ai1 ) + ( dsp * ar1 );  // Im(W_l)
+		ar1 = ar1h;
+
+		// Accumulate the contributions from components 1 and R-1:
+		for ( ik = 0; ik < ML; ik++ ) {
+			ich = fptr( ik, l, ML, sch2, och2 );
+			ic1o = fptr( ik, lc, ML, sch2, och2 );
+
+			ic2o = fptr( ik, 0, ML, sc2, oc2 );
+			ic1 = fptr( ik, 1, ML, sc2, oc2 );
+			ic2 = fptr( ik, R-1, ML, sc2, oc2 );
+
+			ch2[ ich ] = c2[ ic2o ] + ( ar1 * c2[ ic1 ] );
+			ch2[ ic1o ] = ai1 * c2[ ic2 ];
+		}
+
+		// Save W_l for the inner recurrence:
+		dc2 = ar1;
+		ds2 = ai1;
+
+		// Initialize W_{l·1}:
+		ar2 = ar1;
+		ai2 = ai1;
+
+		// Accumulate the remaining component pairs:
+		for ( j = 2; j < Rph; j++ ) {
+			jc = Rp1 - j - 1; // "mirror" index
+
+			// Advance the nested rotation factor by one step: W_{l*j} = W_{l*(j-1)} ⋅ W_l
+			ar2h = ( dc2 * ar2 ) - ( ds2 * ai2 ); // Re(W_{l*j})
+			ai2 = ( dc2 * ai2 ) + ( ds2 * ar2 );  // Im(W_{l*j})
+			ar2 = ar2h;
+
+			// Accumulate the contributions from components j and jc:
+			for ( ik = 0; ik < ML; ik++ ) {
+				ich = fptr( ik, l, ML, sch2, och2 );
+				ic1o = fptr( ik, lc, ML, sch2, och2 );
+
+				ic1 = fptr( ik, j, ML, sc2, oc2 );
+				ic2 = fptr( ik, jc, ML, sc2, oc2 );
+
+				ch2[ ich ] += ar2 * c2[ ic1 ];
+				ch2[ ic1o ] += ai2 * c2[ ic2 ];
+			}
+		}
+	}
+
+	// Accumulate the nonzero radix components into the DC output...
+	for ( j = 1; j < Rph; j++ ) {
+		for ( ik = 0; ik < ML; ik++ ) {
+			ich = fptr( ik, 0, ML, sch2, och2 );
+			ic1 = fptr( ik, j, ML, sc2, oc2 );
+			ch2[ ich ] += c2[ ic1 ];
+		}
+	}
+
+	// Copy the first output column from ch to cc...
+	if ( M >= L ) {
+		for ( k = 0; k < L; k++ ) {
+			for ( i = 0; i < M; i++ ) {
+				icc = optr( i, 0, k, R, M, sc, oc );
+				ih1 = optr( i, k, 0, L, M, sch, och );
+				cc[ icc ] = ch[ ih1 ];
+			}
+		}
+	} else {
+		for ( i = 0; i < M; i++ ) {
+			for ( k = 0; k < L; k++ ) {
+				icc = optr( i, 0, k, R, M, sc, oc );
+				ih1 = optr( i, k, 0, L, M, sch, och );
+				cc[ icc ] = ch[ ih1 ];
+			}
+		}
+	}
+
+	/*
+	* `cc` is stored in output order, where the component index comes before the sub-sequence index. Accordingly, writes to `cc` use `optr`, not `iptr`.
+	*/
+	// Store DC harmonics for conjugate pairs in the output array...
+	for ( j = 1; j < Rph; j++ ) {
+		jc = Rp1 - j - 1; // "mirror" index
+		j2 = 2 * j;       // output column index
+		for ( k = 0; k < L; k++ ) {
+			io1 = optr( M-1, j2-1, k, R, M, sc, oc );
+			io2 = optr( 0, j2, k, R, M, sc, oc );
+
+			ih1 = optr( 0, k, j, L, M, sch, och );
+			ih2 = optr( 0, k, jc, L, M, sch, och );
+
+			cc[ io1 ] = ch[ ih1 ];
+			cc[ io2 ] = ch[ ih2 ];
+		}
+	}
+
+	// When M = 1, there are no non-DC harmonics to process, so we're done...
+	if ( M === 1 ) {
+		return;
+	}
+
+	/*
+	* Finally, store the non-DC harmonics in folded format.
+	*
+	* For each mirror pair, write the non-DC harmonics from `ch` to the two output columns as the required sum and difference combinations.
+	*/
+	if ( nbd >= L ) {
+		// Loop over sub-sequences before harmonics...
+		for ( j = 1; j < Rph; j++ ) {
+			jc = Rp1 - j - 1; // "mirror" index
+			j2 = 2 * j;       // output column index
+			for ( k = 0; k < L; k++ ) {
+				for ( i = 2; i < M; i += 2 ) {
+					im = M - i; // "mirror" harmonic index
+
+					// Resolve ch indices for component j:
+					ih1 = optr( i-1, k, j, L, M, sch, och ); // Re(ch[j])
+					ih2 = optr( i, k, j, L, M, sch, och );   // Im(ch[j])
+
+					// Resolve ch indices for conjugate component jc:
+					ih3 = optr( i-1, k, jc, L, M, sch, och ); // Re(ch[jc])
+					ih4 = optr( i, k, jc, L, M, sch, och );   // Im(ch[jc])
+
+					// Resolve cc output indices:
+					io1 = optr( i-1, j2, k, R, M, sc, oc );
+					io2 = optr( im-1, j2-1, k, R, M, sc, oc );
+					io3 = optr( i, j2, k, R, M, sc, oc );
+					io4 = optr( im, j2-1, k, R, M, sc, oc );
+
+					// Store the sum and difference combinations:
+					cc[ io1 ] = ch[ ih1 ] + ch[ ih3 ];
+					cc[ io2 ] = ch[ ih1 ] - ch[ ih3 ];
+					cc[ io3 ] = ch[ ih2 ] + ch[ ih4 ];
+					cc[ io4 ] = ch[ ih4 ] - ch[ ih2 ];
+				}
+			}
+		}
+	} else {
+		// Loop over harmonics before sub-sequences...
+		for ( j = 1; j < Rph; j++ ) {
+			jc = Rp1 - j - 1; // "mirror" index
+			j2 = 2 * j;       // output column index
+			for ( i = 2; i < M; i += 2 ) {
+				im = M - i; // "mirror" harmonic index
+				for ( k = 0; k < L; k++ ) {
+					// Resolve ch indices for component j:
+					ih1 = optr( i-1, k, j, L, M, sch, och ); // Re(ch[j])
+					ih2 = optr( i, k, j, L, M, sch, och );   // Im(ch[j])
+
+					// Resolve ch indices for conjugate component jc:
+					ih3 = optr( i-1, k, jc, L, M, sch, och ); // Re(ch[jc])
+					ih4 = optr( i, k, jc, L, M, sch, och );   // Im(ch[jc])
+
+					// Resolve cc output indices:
+					io1 = optr( i-1, j2, k, R, M, sc, oc );
+					io2 = optr( im-1, j2-1, k, R, M, sc, oc );
+					io3 = optr( i, j2, k, R, M, sc, oc );
+					io4 = optr( im, j2-1, k, R, M, sc, oc );
+
+					// Store the sum and difference combinations:
+					cc[ io1 ] = ch[ ih1 ] + ch[ ih3 ];
+					cc[ io2 ] = ch[ ih1 ] - ch[ ih3 ];
+					cc[ io3 ] = ch[ ih2 ] + ch[ ih4 ];
+					cc[ io4 ] = ch[ ih4 ] - ch[ ih2 ];
+				}
+			}
+		}
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = radfg;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/rfftf1.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/rfftf1.js
new file mode 100644
index 000000000000..c3768b4d701f
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/lib/rfftf1.js
@@ -0,0 +1,181 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2004 the University Corporation for Atmospheric
+* Research ("UCAR"). All rights reserved. Developed by NCAR's
+* Computational and Information Systems Laboratory, UCAR,
+* www.cisl.ucar.edu.
+*
+* Redistribution and use of the Software in source and binary forms,
+* with or without modification, is permitted provided that the
+* following conditions are met:
+*
+*     - Neither the names of NCAR's Computational and Information Systems
+*       Laboratory, the University Corporation for Atmospheric Research,
+*       nor the names of its sponsors or contributors may be used to
+*       endorse or promote products derived from this Software without
+*       specific prior written permission.
+*
+*     - Redistributions of source code must retain the above copyright
+*       notices, this list of conditions, and the disclaimer below.
+*
+*     - Redistributions in binary form must reproduce the above copyright
+*       notice, this list of conditions, and the disclaimer below in the
+*       documentation and/or other materials provided with the
+*       distribution.
+*
+* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
+* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
+* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+* SOFTWARE.
+* ```
+*/
+
+/* eslint-disable max-len */
+
+'use strict';
+
+// MODULES //
+
+var floor = require( '@stdlib/math/base/special/floor' );
+var gcopy = require( '@stdlib/blas/base/gcopy' ).ndarray;
+var radf2 = require( './radf2.js' );
+var radf3 = require( './radf3.js' );
+var radf4 = require( './radf4.js' );
+var radf5 = require( './radf5.js' );
+var radfg = require( './radfg.js' );
+
+
+// MAIN //
+
+/**
+* Performs the forward Fourier transform.
+*
+* @private
+* @param {NonNegativeInteger} N - length of the sequence to transform
+* @param {Collection} c - input array containing the sequence to be transformed
+* @param {integer} sc - stride length for `c`
+* @param {NonNegativeInteger} oc - starting index for `c`
+* @param {Collection} ch - working array for intermediate results
+* @param {integer} sch - stride length for `ch`
+* @param {NonNegativeInteger} och - starting index for `ch`
+* @param {Collection} wa - workspace array for storing twiddle factors
+* @param {integer} swa - stride length for `wa`
+* @param {NonNegativeInteger} owa - starting index for `wa`
+* @param {Collection} ifac - workspace array for storing factorization results
+* @param {integer} si - stride length for `ifac`
+* @param {NonNegativeInteger} oi - starting index for `ifac`
+* @returns {void}
+*/
+function rfftf1( N, c, sc, oc, ch, sch, och, wa, swa, owa, ifac, si, oi ) { // eslint-disable-line max-params
+	var factor;
+	var idl1;
+	var FLG;
+	var ido;
+	var ix4;
+	var ix3;
+	var ix2;
+	var nf;
+	var l2;
+	var l1;
+	var kh;
+	var iw;
+	var k1;
+
+	// Resolve the number of factors:
+	nf = ifac[ oi+si ];
+
+	FLG = 1; // flag to track whether the latest stage output resides in `c` or `ch`
+	l2 = N;
+
+	// Initialize an index offset to the last element in each workspace:
+	iw = N - 1;
+
+	for ( k1 = 1; k1 <= nf; k1++ ) {
+		kh = nf - k1;
+
+		// Resolve the next factor:
+		factor = ifac[ oi+((kh+2)*si) ];
+
+		// Compute a sub-transform length:
+		l1 = floor( l2 / factor );
+
+		ido = floor( N / l2 );
+		idl1 = ido * l1;
+
+		// Adjust the index offset
+		iw -= ( ( factor - 1 ) * ido );
+
+		// Toggle the flag to swap the input and output work buffers for the next stage:
+		FLG = 1 - FLG;
+
+		switch ( factor ) {
+		case 4:
+			ix2 = iw + ido;
+			ix3 = ix2 + ido;
+			radf4( ido, l1, ( FLG ) ? ch : c, ( FLG ) ? sch : sc, ( FLG ) ? och : oc, ( FLG ) ? c : ch, ( FLG ) ? sc : sch, ( FLG ) ? oc : och, wa, swa, owa+(iw*swa), wa, swa, owa+(ix2*swa), wa, swa, owa+(ix3*swa) );
+			break;
+		case 2:
+			radf2( ido, l1, ( FLG ) ? ch : c, ( FLG ) ? sch : sc, ( FLG ) ? och : oc, ( FLG ) ? c : ch, ( FLG ) ? sc : sch, ( FLG ) ? oc : och, wa, swa, owa+(iw*swa) );
+			break;
+		case 3:
+			ix2 = iw + ido;
+			radf3( ido, l1, ( FLG ) ? ch : c, ( FLG ) ? sch : sc, ( FLG ) ? och : oc, ( FLG ) ? c : ch, ( FLG ) ? sc : sch, ( FLG ) ? oc : och, wa, swa, owa+(iw*swa), wa, swa, owa+(ix2*swa) );
+			break;
+		case 5:
+			ix2 = iw + ido;
+			ix3 = ix2 + ido;
+			ix4 = ix3 + ido;
+			radf5( ido, l1, ( FLG ) ? ch : c, ( FLG ) ? sch : sc, ( FLG ) ? och : oc, ( FLG ) ? c : ch, ( FLG ) ? sc : sch, ( FLG ) ? oc : och, wa, swa, owa+(iw*swa), wa, swa, owa+(ix2*swa ), wa, swa, owa+(ix3*swa), wa, swa, owa+(ix4*swa) );
+			break;
+		default:
+			if ( ido === 1 ) {
+				FLG = 1 - FLG;
+			}
+			if ( FLG === 0 ) {
+				radfg( ido, factor, l1, idl1, c, sc, oc, c, sc, oc, c, sc, oc, ch, sch, och, ch, sch, och, wa, swa, owa+(iw*swa) );
+				FLG = 1;
+			} else {
+				radfg( ido, factor, l1, idl1, ch, sch, och, ch, sch, och, ch, sch, och, c, sc, oc, c, sc, oc, wa, swa, owa+(iw*swa) );
+				FLG = 0;
+			}
+			break;
+		}
+		l2 = l1;
+	}
+	if ( FLG === 1 ) {
+		return;
+	}
+	// Now that we've finished computing the transforms, copy over the final results to the input array...
+	gcopy( N, ch, sch, och, c, sc, oc );
+}
+
+
+// EXPORTS //
+
+module.exports = rfftf1;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/package.json
new file mode 100644
index 000000000000..55a3ba768d18
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/package.json
@@ -0,0 +1,62 @@
+{
+  "name": "@stdlib/fft/base/fftpack/generic/rfftf",
+  "version": "0.0.0",
+  "description": "Compute the forward discrete Fourier transform (DFT) of a real-valued sequence.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "fft",
+    "fftpack",
+    "rfftf",
+    "fourier",
+    "transform",
+    "forward",
+    "real"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/Makefile
new file mode 100644
index 000000000000..4b8cac6acbd2
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/Makefile
@@ -0,0 +1,138 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+endif
+
+# Specify the path to FFTPACK:
+FFTPACK ?=
+
+# Specify a list of FFTPACK source files:
+FFTPACK_SRC ?=
+
+# Determine the OS:
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-ffp-contract=off \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate [position independent code][1]:
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := runner.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler
+# @param {string} [CFLAGS] - C compiler flags
+# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
+
+#/
+# Generates test fixtures.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
+
+#/
+# Removes generated test fixtures.
+#
+# @example
+# make clean-fixtures
+#/
+clean-fixtures:
+	$(QUIET) -rm -f *.json
+
+.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/large.json
new file mode 100644
index 000000000000..bb503d1af6b9
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/large.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/medium.json
new file mode 100644
index 000000000000..6f956976e745
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/medium.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/runner.c
new file mode 100644
index 000000000000..83735d958f19
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/runner.c
@@ -0,0 +1,318 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/**
+* Generate FFTPACK test fixtures.
+*
+* ## Notes
+*
+* -   Run this script from the directory in which fixtures should be written.
+*
+*/
+
+#include <stdlib.h>
+#include <stdio.h>
+#include <time.h>
+
+/**
+* Define prototypes for external functions.
+*/
+extern void rffti( int n, double *wsave );
+extern void rfftf( int n, double *r, double *wsave );
+
+/**
+* Generates a random number on the interval [0,1].
+*
+* @return random number
+*/
+double rand_double( void ) {
+	int r = rand();
+	return (double)r / ( (double)RAND_MAX + 1.0 );
+}
+
+/**
+* Generates an array of pseudorandom integers drawn from a uniform distribution.
+*
+* ## Notes
+*
+* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
+*
+*
+* @param out  output array
+* @param len  array length
+* @param a    lower bound (inclusive)
+* @param b    upper bound (exclusive)
+*/
+void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
+	unsigned int i;
+	unsigned int r;
+	double delta;
+
+	delta = (double)b - (double)a;
+
+	for ( i = 0; i < len; i++ ) {
+		r = (unsigned int)( delta * rand_double() ); // truncation
+		out[ i ] = (int)( a + r );
+	}
+}
+
+/**
+* Generates an array of pseudorandom numbers drawn from a uniform distribution.
+*
+* @param out  output array
+* @param len  array length
+* @param a    lower bound (inclusive)
+* @param b    upper bound (exclusive)
+*/
+void rand_array_f64( double *out, const unsigned int len, const double a, const double b ) {
+	unsigned int i;
+	double delta;
+
+	delta = b - a;
+
+	for ( i = 0; i < len; i++ ) {
+		out[ i ] = a + ( rand_double()*delta );
+	}
+}
+
+/**
+* Writes an array of doubles to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of doubles
+* @param len  array length
+*/
+void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%.17g", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes an array of integers to a file as a series of comma-separated values.
+*
+* @param f    file to write to
+* @param x    array of integers
+* @param len  array length
+*/
+void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
+	unsigned int i;
+
+	for ( i = 0; i < len; i++ ) {
+		fprintf( f, "%d", x[ i ] );
+		if ( i < len-1 ) {
+			fprintf( f, "," );
+		}
+	}
+}
+
+/**
+* Writes a named array of doubles to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_f64( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes a named array of integers to a file as JSON.
+*
+* @param f     file to write to
+* @param name  array name
+* @param x     data
+* @param len   array length
+*/
+void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
+	fprintf( f, "\"%s\":[", name );
+	write_array_i32( f, x, len );
+	fprintf( f, "]" );
+}
+
+/**
+* Writes data to a file as JSON.
+*
+* ## Notes
+*
+* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
+*
+*
+* @param f         file to write to
+* @param lengths   sequence lengths
+* @param offsets   offsets
+* @param input     input values
+* @param expected  results
+* @param num       number of sequence lengths
+* @param total     total array length
+*/
+void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *input, const double *expected, const unsigned int num, const unsigned int total ) {
+	fprintf( f, "{" );
+	write_named_array_i32( f, "lengths", lengths, num );
+	fprintf( f, "," );
+	write_named_array_i32( f, "offsets", offsets, num );
+	fprintf( f, "," );
+	write_named_array_f64( f, "input", input, total );
+	fprintf( f, "," );
+	write_named_array_f64( f, "expected", expected, total );
+	fprintf( f, "}\n" );
+}
+
+/**
+* Generates test fixtures.
+*
+* @param lengths  sequence lengths
+* @param offsets  input offsets into flat arrays
+* @param num      number of sequence lengths
+* @param total    total number of input and output values
+* @param name     output filename
+*/
+void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
+	unsigned int i;
+	unsigned int j;
+	double *expected;
+	double *input;
+	double *wsave;
+	FILE *f;
+	int off;
+	int n;
+
+	// Allocate output arrays:
+	input = (double*) malloc( total * sizeof(double) );
+	if ( input == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+	expected = (double*) malloc( total * sizeof(double) );
+	if ( expected == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	for ( i = 0; i < num; i++ ) {
+		n = lengths[ i ];
+		off = offsets[ i ];
+
+		rand_array_f64( input + off, (unsigned int)n, -10.0, 10.0 );
+		for ( j = 0; j < (unsigned int)n; j++ ) {
+			expected[ off + j ] = input[ off + j ];
+		}
+
+		wsave = (double*) calloc( 2*n + 15, sizeof(double) );
+		if ( wsave == NULL ) {
+			printf( "Error allocating memory.\n" );
+			exit( 1 );
+		}
+		rffti( n, wsave );
+		rfftf( n, expected + off, wsave );
+		free( wsave );
+	}
+	// Open a new file:
+	f = fopen( name, "w" );
+	if ( f == NULL ) {
+		printf( "Error opening file.\n" );
+		exit( 1 );
+	}
+
+	// Write data as JSON:
+	write_data_as_json( f, lengths, offsets, input, expected, num, total );
+
+	// Close the file:
+	fclose( f );
+
+	// Free allocated memory:
+	free( input );
+	free( expected );
+}
+
+/**
+* Computes offsets into flat input and output arrays for each sequence length.
+*
+* @param offsets  output array of offsets
+* @param lengths  sequence lengths
+* @param num      number of sequence lengths
+* @return total number of values
+*/
+unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
+	unsigned int total;
+	unsigned int i;
+
+	total = 0;
+	for ( i = 0; i < num; i++ ) {
+		offsets[ i ] = total;
+		total += lengths[ i ];
+	}
+	return total;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	unsigned int total;
+	unsigned int num;
+	int *lengths;
+	int *offsets;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	// Define the number of sequence lengths per range:
+	num = 10;
+
+	// Allocate arrays:
+	lengths = (int*) malloc( num * sizeof(int) );
+	if ( lengths == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+	offsets = (int*) malloc( num * sizeof(int) );
+	if ( offsets == NULL ) {
+		printf( "Error allocating memory.\n" );
+		exit( 1 );
+	}
+
+	// Generate fixture data:
+	rand_array_i32( lengths, num, 2, 16 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "small.json" );
+
+	rand_array_i32( lengths, num, 16, 128 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "medium.json" );
+
+	rand_array_i32( lengths, num, 128, 1024 );
+	total = compute_offsets( offsets, lengths, num );
+	generate( lengths, offsets, num, total, "large.json" );
+
+	// Free allocated memory:
+	free( lengths );
+	free( offsets );
+
+	return 0;
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/small.json
new file mode 100644
index 000000000000..8d557d1163b5
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/fixtures/c/fftpack/small.json
@@ -0,0 +1 @@
+{"lengths":[4,13,5,5,15,10,10,2,10,15],"offsets":[0,4,17,22,27,42,52,62,64,74],"input":[-9.116728724911809,-4.8596726823598146,3.4812678024172783,9.668060727417469,-8.9032003656029701,3.9114638883620501,-0.026319427415728569,-2.3505385220050812,-5.5008794739842415,6.7187159508466721,1.4591167215257883,3.3748283609747887,0.74036757461726665,3.3579106442630291,-3.5956973303109407,7.115019578486681,2.1341895684599876,9.3241720646619797,-8.6399579886347055,8.2260956522077322,-4.010230703279376,0.05261685699224472,4.3315941374748945,1.1027806997299194,-5.564692746847868,-5.7909615617245436,-8.6909349635243416,-8.5439217090606689,2.3078472074121237,7.9881112929433584,-3.8133587222546339,8.8800034765154123,6.2185775488615036,-4.3670093547552824,3.6738187074661255,5.8711233921349049,-4.0290241781622171,4.1906843520700932,-7.1679836977273226,7.6980144530534744,0.52905097603797913,-8.2401633262634277,7.5749892555177212,-7.1554449666291475,-1.5635318774729967,1.7198013328015804,4.7010921128094196,-8.7447449564933777,7.0715260319411755,-8.8618475571274757,-1.0718837380409241,4.8500846140086651,-4.6277761366218328,0.96651383675634861,4.1981401853263378,-1.8577941041439772,-3.9454446267336607,8.9122058637440205,7.4440999515354633,-7.0119780208915472,9.685426251962781,2.9591707978397608,-5.2162992861121893,9.6579357422888279,0.92617449350655079,6.2147978693246841,-7.8920833580195904,-2.2449817415326834,8.5919307451695204,4.5801795646548271,-0.92194274067878723,4.9084284529089928,-4.0428752824664116,-8.6048257909715176,-1.3070579431951046,-7.7227832470089197,3.1819853372871876,-0.37233305163681507,2.1984764840453863,9.7943628113716841,-6.1440743599087,-3.4577368106693029,5.8174742758274078,-5.7097223773598671,-3.3039627131074667,-9.7012667916715145,-9.1909652855247259,7.446452509611845,-7.4725344125181437],"expected":[-0.8270728774368763,-12.597996527329087,14.527733409777284,-10.443848967552185,8.4349771682173014,-9.7567153511884861,8.5923802120769253,4.57425773203913,4.0866333108592272,-14.22715060271884,-6.6576554982603335,-26.372765919953665,2.8296022954701328,-8.980587583926571,-6.8431158070115705,-7.3253292347795274,-19.352006438403265,4.952695881947875,3.259831328816762,1.0747977763238268,17.574250891864249,16.746805214608187,-14.612214434891939,11.173642831905873,-9.4473745727180862,6.9614497292273327,-5.541407201183806,11.195770418271422,-14.991257708546126,-15.946231614575851,-17.300471915627686,-4.6130790288011587,-19.788622037389842,-4.3067661197842559,-5.5157193718121711,-30.002457820459789,-25.180834475904703,-12.913945229888764,18.854087307931454,19.383661310646723,-5.7544798257416492,19.640630053430741,-1.47995974868536,6.3230358066860246,-1.1461816305236983,9.6659206372041417,15.672241202115009,17.024128064244636,19.603107401239232,-11.850330015300589,-4.8679641623852099,34.904343318194151,16.722563998773694,-6.1633397371209089,8.1826596782807925,2.5224321416795537,-2.68207208227156,-32.079778889875975,12.531437445164677,-0.17263982326092409,-15.643991329488166,8.7863272521644831,4.4416364561766386,-14.874235028401017,1.5148022118955851,-16.303884263575817,-3.8387589572180141,14.638762167581284,-6.9882295533190071,11.265068834141644,-29.609707780796953,-1.6302781281256387,0.023841251436460542,-8.1923944968730211,-25.943685574457049,-6.2112734554560713,-26.110422946311445,-2.2624743686374584,8.8755320203980546,-8.2645672629549143,25.11030762650708,-12.000561912417531,-15.582412082646586,-21.114386739209294,5.5941560454209212,34.194765437856233,-13.8671250199453,18.827406514084274,-0.55489016140835545]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/test.js
new file mode 100644
index 000000000000..51fb2e0b807b
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/generic/rfftf/test/test.js
@@ -0,0 +1,387 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
+var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+var rfftf = require( './../lib' );
+
+
+// FIXTURES //
+
+var small = require( './fixtures/c/fftpack/small.json' );
+var medium = require( './fixtures/c/fftpack/medium.json' );
+var large = require( './fixtures/c/fftpack/large.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof rfftf, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 7', function test( t ) {
+	t.strictEqual( rfftf.length, 7, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns a reference to the input array', function test( t ) {
+	var out;
+	var w;
+	var N;
+	var r;
+
+	N = 4;
+	r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+	w = new Float64Array( ( 2*N ) + 34 );
+
+	rffti( N, w, 1, 0 );
+	out = rfftf( N, r, 1, 0, w, 1, 0 );
+
+	t.strictEqual( out, r, 'same reference' );
+	t.end();
+});
+
+tape( 'the function returns all zeros for a zero sequence', function test( t ) {
+	var expected;
+	var w;
+	var N;
+	var r;
+
+	N = 4;
+	r = new Float64Array( [ 0.0, 0.0, 0.0, 0.0 ] );
+	expected = new Float64Array( [ 0.0, 0.0, 0.0, 0.0 ] );
+	w = new Float64Array( ( 2*N ) + 34 );
+
+	rffti( N, w, 1, 0 );
+	rfftf( N, r, 1, 0, w, 1, 0 );
+
+	t.deepEqual( r, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns only a zero-frequency term for a constant sequence', function test( t ) {
+	var expected;
+	var w;
+	var N;
+	var r;
+
+	N = 4;
+	r = new Float64Array( [ 1.0, 1.0, 1.0, 1.0 ] );
+	expected = new Float64Array( [ 4.0, 0.0, 0.0, 0.0 ] );
+	w = new Float64Array( ( 2*N ) + 34 );
+
+	rffti( N, w, 1, 0 );
+	rfftf( N, r, 1, 0, w, 1, 0 );
+
+	t.deepEqual( r, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function computes the exact two-point real FFT', function test( t ) {
+	var expected;
+	var w;
+	var N;
+	var r;
+
+	N = 2;
+	r = new Float64Array( [ 3.0, -1.0 ] );
+
+	// For [ a, b ], output is [ a+b, a-b ]...
+	expected = new Float64Array( [ 2.0, 4.0 ] );
+	w = new Float64Array( ( 2*N ) + 34 );
+
+	rffti( N, w, 1, 0 );
+	rfftf( N, r, 1, 0, w, 1, 0 );
+
+	t.deepEqual( r, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function computes a forward real-valued FFT (small sequence lengths)', function test( t ) {
+	var expected;
+	var lengths;
+	var offsets;
+	var input;
+	var ulps;
+	var off;
+	var w;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+	var r;
+
+	lengths = small.lengths;
+	offsets = small.offsets;
+	input = small.input;
+	expected = small.expected;
+
+	ulps = 20;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		r = new Float64Array( N );
+		for ( i = 0; i < N; i++ ) {
+			r[ i ] = input[ off+i ];
+		}
+		w = new Float64Array( ( 2*N ) + 34 );
+
+		rffti( N, w, 1, 0 );
+		rfftf( N, r, 1, 0, w, 1, 0 );
+
+		for ( i = 0; i < N; i++ ) {
+			y = r[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within tolerance. N: '+N+'. index: '+i+'. y: '+y+'. E: '+e+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function computes a forward real-valued FFT (medium sequence lengths)', function test( t ) {
+	var expected;
+	var lengths;
+	var offsets;
+	var input;
+	var ulps;
+	var off;
+	var w;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+	var r;
+
+	lengths = medium.lengths;
+	offsets = medium.offsets;
+	input = medium.input;
+	expected = medium.expected;
+
+	ulps = 130;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		r = new Float64Array( N );
+		for ( i = 0; i < N; i++ ) {
+			r[ i ] = input[ off+i ];
+		}
+		w = new Float64Array( ( 2*N ) + 34 );
+
+		rffti( N, w, 1, 0 );
+		rfftf( N, r, 1, 0, w, 1, 0 );
+
+		for ( i = 0; i < N; i++ ) {
+			y = r[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within tolerance. N: '+N+'. index: '+i+'. y: '+y+'. E: '+e+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function computes a forward real-valued FFT (large sequence lengths)', function test( t ) {
+	var expected;
+	var lengths;
+	var offsets;
+	var input;
+	var ulps;
+	var off;
+	var w;
+	var y;
+	var e;
+	var N;
+	var i;
+	var k;
+	var r;
+
+	lengths = large.lengths;
+	offsets = large.offsets;
+	input = large.input;
+	expected = large.expected;
+
+	ulps = 800;
+	for ( k = 0; k < lengths.length; k++ ) {
+		N = lengths[ k ];
+		off = offsets[ k ];
+		r = new Float64Array( N );
+		for ( i = 0; i < N; i++ ) {
+			r[ i ] = input[ off+i ];
+		}
+		w = new Float64Array( ( 2*N ) + 34 );
+
+		rffti( N, w, 1, 0 );
+		rfftf( N, r, 1, 0, w, 1, 0 );
+
+		for ( i = 0; i < N; i++ ) {
+			y = r[ i ];
+			e = expected[ off+i ];
+			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within tolerance. N: '+N+'. index: '+i+'. y: '+y+'. E: '+e+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function leaves a length-one sequence unchanged', function test( t ) {
+	var out;
+	var N;
+	var w;
+	var r;
+
+	N = 1;
+	r = new Float64Array( [ 5.0 ] );
+	w = new Float64Array( ( 2*N ) + 34 );
+
+	rffti( N, w, 1, 0 );
+	out = rfftf( N, r, 1, 0, w, 1, 0 );
+	t.strictEqual( out, r, 'same reference' );
+	t.strictEqual( r[ 0 ], 5.0, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function supports specifying a stride', function test( t ) {
+	var expected;
+	var w;
+	var v;
+	var i;
+	var N;
+	var r;
+
+	N = 4;
+	r = new Float64Array([
+		1.0,   // 0
+		-999.0,
+		2.0,   // 1
+		-999.0,
+		3.0,   // 2
+		-999.0,
+		4.0,   // 3
+		-999.0
+	]);
+	expected = new Float64Array([
+		10.0,  // 0
+		-999.0,
+		-2.0,  // 1
+		-999.0,
+		2.0,   // 2
+		-999.0,
+		-2.0,  // 3
+		-999.0
+	]);
+
+	w = new Float64Array( ( ( 2*N ) + 34 ) * 2 );
+	rffti( N, w, 2, 0 );
+	rfftf( N, r, 2, 0, w, 2, 0 );
+
+	for ( i = 0; i < r.length; i++ ) {
+		v = r[ i ];
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'within tolerance. index: '+i+'. y: '+v+'. E: '+expected[ i ]+'.' );
+	}
+	t.end();
+});
+
+tape( 'the function supports specifying a negative stride', function test( t ) {
+	var expected;
+	var w;
+	var v;
+	var i;
+	var N;
+	var r;
+
+	N = 4;
+	r = new Float64Array([
+		4.0,   // 3
+		-999.0,
+		3.0,   // 2
+		-999.0,
+		2.0,   // 1
+		-999.0,
+		1.0    // 0
+	]);
+	expected = new Float64Array([
+		-2.0,  // 3
+		-999.0,
+		2.0,   // 2
+		-999.0,
+		-2.0,  // 1
+		-999.0,
+		10.0   // 0
+	]);
+
+	w = new Float64Array( ( 2*N ) + 34 );
+	rffti( N, w, -1, w.length-1 );
+	rfftf( N, r, -2, r.length-1, w, -1, w.length-1 );
+
+	for ( i = 0; i < r.length; i++ ) {
+		v = r[ i ];
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'within tolerance. index: '+i+'. y: '+v+'. E: '+expected[ i ]+'.' );
+	}
+	t.end();
+});
+
+tape( 'the function supports an offset parameter', function test( t ) {
+	var expected;
+	var w;
+	var v;
+	var i;
+	var N;
+	var r;
+
+	N = 4;
+	r = new Float64Array([
+		-999.0,
+		1.0,   // 0
+		-999.0,
+		2.0,   // 1
+		-999.0,
+		3.0,   // 2
+		-999.0,
+		4.0,   // 3
+		-999.0
+	]);
+	expected = new Float64Array([
+		-999.0,
+		10.0,  // 0
+		-999.0,
+		-2.0,  // 1
+		-999.0,
+		2.0,   // 2
+		-999.0,
+		-2.0,  // 3
+		-999.0
+	]);
+
+	w = new Float64Array( 3 + ( ( ( 2*N ) + 34 ) * 2 ) );
+	rffti( N, w, 2, 3 );
+	rfftf( N, r, 2, 1, w, 2, 3 );
+
+	for ( i = 0; i < r.length; i++ ) {
+		v = r[ i ];
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'within tolerance. index: '+i+'. y: '+v+'. E: '+expected[ i ]+'.' );
+	}
+	t.end();
+});

From 1a329ab58e5d12524590479e97d403b577e8cb85 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:43:14 +0530
Subject: [PATCH 30/32] remove: remove `fft/base/fftpack/rfftf`

This commit removes `@stdlib/fft/base/fftpack/rfftf` in favor of
`@stdlib/fft/base/fftpack/generic/rfftf`.

BREAKING CHANGE: remove `fft/base/fftpack/rfftf`

To migrate, users should update their require/import paths to use
`@stdlib/fft/base/fftpack/generic/rfftf` which provides the same API and implementation.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../@stdlib/fft/base/fftpack/rfftf/README.md  | 160 ----
 .../base/fftpack/rfftf/benchmark/benchmark.js | 138 ----
 .../fft/base/fftpack/rfftf/docs/repl.txt      |  56 --
 .../base/fftpack/rfftf/docs/types/index.d.ts  |  56 --
 .../fft/base/fftpack/rfftf/docs/types/test.ts | 148 ----
 .../fft/base/fftpack/rfftf/examples/index.js  |  38 -
 .../fft/base/fftpack/rfftf/lib/index.js       |  49 --
 .../fft/base/fftpack/rfftf/lib/main.js        | 115 ---
 .../fft/base/fftpack/rfftf/lib/radf2.js       | 366 ---------
 .../fft/base/fftpack/rfftf/lib/radf3.js       | 401 ---------
 .../fft/base/fftpack/rfftf/lib/radf4.js       | 492 -----------
 .../fft/base/fftpack/rfftf/lib/radf5.js       | 511 ------------
 .../fft/base/fftpack/rfftf/lib/radfg.js       | 765 ------------------
 .../fft/base/fftpack/rfftf/lib/rfftf1.js      | 181 -----
 .../fft/base/fftpack/rfftf/package.json       |  62 --
 .../rfftf/test/fixtures/c/fftpack/Makefile    | 138 ----
 .../rfftf/test/fixtures/c/fftpack/large.json  |   1 -
 .../rfftf/test/fixtures/c/fftpack/medium.json |   1 -
 .../rfftf/test/fixtures/c/fftpack/runner.c    | 318 --------
 .../rfftf/test/fixtures/c/fftpack/small.json  |   1 -
 .../fft/base/fftpack/rfftf/test/test.js       | 387 ---------
 21 files changed, 4384 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/README.md
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/benchmark/benchmark.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/repl.txt
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/index.d.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/test.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/examples/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/main.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf2.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf3.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf4.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf5.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radfg.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/rfftf1.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/package.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/Makefile
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/large.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/medium.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/runner.c
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/small.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/README.md
deleted file mode 100644
index d1bc2a8f7277..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/README.md
+++ /dev/null
@@ -1,160 +0,0 @@
-<!--
-
-@license Apache-2.0
-
-Copyright (c) 2026 The Stdlib Authors.
-
-Licensed under the Apache License, Version 2.0 (the "License");
-you may not use this file except in compliance with the License.
-You may obtain a copy of the License at
-
-   http://www.apache.org/licenses/LICENSE-2.0
-
-Unless required by applicable law or agreed to in writing, software
-distributed under the License is distributed on an "AS IS" BASIS,
-WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-See the License for the specific language governing permissions and
-limitations under the License.
-
--->
-
-# rfftf
-
-> Compute the forward discrete Fourier transform (DFT) of a real-valued sequence.
-
-<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
-
-<section class="intro">
-
-</section>
-
-<!-- /.intro -->
-
-<!-- Package usage documentation. -->
-
-<section class="usage">
-
-## Usage
-
-```javascript
-var rfftf = require( '@stdlib/fft/base/fftpack/rfftf' );
-```
-
-#### rfftf( N, r, strideR, offsetR, w, strideW, offsetW )
-
-Computes the forward discrete Fourier transform (DFT) of a real-valued sequence.
-
-```javascript
-var Float64Array = require( '@stdlib/array/float64' );
-var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-
-var N = 4;
-var w = new Float64Array( ( 2*N ) + 34 );
-
-rffti( N, w, 1, 0 );
-
-var r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-
-rfftf( N, r, 1, 0, w, 1, 0 );
-
-// r => <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
-```
-
-The function accepts the following arguments:
-
--   **N**: length of the sequence to transform. The function is most efficient when this value is a product of small prime numbers.
--   **r**: input array.
--   **strideR**: stride length for `r`.
--   **offsetR**: starting index for `r`.
--   **w**: workspace array containing pre-computed values.
--   **strideW**: stride length for `w`.
--   **offsetW**: starting index for `w`.
-
-</section>
-
-<!-- /.usage -->
-
-<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="notes">
-
-## Notes
-
--   Before calling this function, initialize the workspace by calling [`rffti`][@stdlib/fft/base/fftpack/generic/rffti] with the same sequence length and workspace layout.
-
--   The function performs the transform in-place (i.e., the input array is **mutated**).
-
--   For `N = 4`, the output
-
-    ```text
-    [ 10.0, -2.0, 2.0, -2.0 ]
-    ```
-
-    corresponds to a zero-frequency term `10.0`, a complex coefficient `-2.0 + 2.0i` at frequency `1`, and a Nyquist term `-2.0`.
-
--   If `N` equals `1`, the function returns early without modifying the input, as a single data point is its own Fourier transform.
-
--   This transform is unnormalized as a call to this function followed by a call performing a [backward transform][@stdlib/fft/base/fftpack/rfftb] will multiply the input array by `N`.
-
-</section>
-
-<!-- /.notes -->
-
-<section class="examples">
-
-## Examples
-
-<!-- eslint no-undef: "error" -->
-
-```javascript
-var zeros = require( '@stdlib/array/zeros' );
-var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
-var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-var rfftf = require( '@stdlib/fft/base/fftpack/rfftf' );
-
-var N = 4;
-var opts = {
-    'dtype': 'float64'
-};
-var r = discreteUniform( N, -10, 10, opts );
-var w = zeros( ( 2*N ) + 34 );
-
-console.log( r );
-
-rffti( N, w, 1, 0 );
-rfftf( N, r, 1, 0, w, 1, 0 );
-
-console.log( r );
-```
-
-</section>
-
-<!-- /.examples -->
-
-<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="references">
-
-</section>
-
-<!-- /.references -->
-
-<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
-
-<section class="related">
-
-</section>
-
-<!-- /.related -->
-
-<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="links">
-
-[@stdlib/fft/base/fftpack/generic/rffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/generic/rffti
-
-[@stdlib/fft/base/fftpack/rfftb]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/rfftb
-
-</section>
-
-<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/benchmark/benchmark.js
deleted file mode 100644
index a4ee0166fc0a..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/benchmark/benchmark.js
+++ /dev/null
@@ -1,138 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var bench = require( '@stdlib/bench' );
-var slice = require( '@stdlib/array/slice' );
-var uniform = require( '@stdlib/random/array/uniform' );
-var floor = require( '@stdlib/math/base/special/floor' );
-var pow = require( '@stdlib/math/base/special/pow' );
-var format = require( '@stdlib/string/format' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var Float64Array = require( '@stdlib/array/float64' );
-var dcopy = require( '@stdlib/blas/base/dcopy' );
-var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-var pkg = require( './../package.json' ).name;
-var rfftf = require( './../lib' );
-
-
-// VARIABLES //
-
-var options = {
-	'dtype': 'float64'
-};
-
-
-// FUNCTIONS //
-
-/**
-* Creates a benchmark function.
-*
-* @private
-* @param {PositiveInteger} iter - number of iterations
-* @param {PositiveInteger} N - sequence length
-* @returns {Function} benchmark function
-*/
-function createBenchmark( iter, N ) {
-	var w;
-	var x;
-	var i;
-
-	x = [];
-	for ( i = 0; i < iter; i++ ) {
-		x.push( uniform( N, -100.0, 100.0, options ) );
-	}
-	w = new Float64Array( ( 2*N ) + 34 );
-	rffti( N, w, 1, 0 );
-	return benchmark;
-
-	/**
-	* Benchmark function.
-	*
-	* @private
-	* @param {Benchmark} b - benchmark instance
-	*/
-	function benchmark( b ) {
-		var xc;
-		var y;
-		var i;
-
-		xc = slice( x );
-		for ( i = 0; i < iter; i++ ) {
-			xc[ i ] = dcopy( N, x[ i ], 1, new Float64Array( N ), 1 );
-		}
-		b.tic();
-		for ( i = 0; i < b.iterations; i++ ) {
-			y = rfftf( N, xc[ i ], 1, 0, w, 1, 0 );
-			if ( isnan( y[ i%N ] ) ) {
-				b.fail( 'should not return NaN' );
-			}
-		}
-		b.toc();
-		if ( isnan( y[ i%N ] ) ) {
-			b.fail( 'should not return NaN' );
-		}
-		b.pass( 'benchmark finished' );
-		b.end();
-	}
-}
-
-
-// MAIN //
-
-/**
-* Main execution sequence.
-*
-* @private
-*/
-function main() {
-	var lengths;
-	var opts;
-	var iter;
-	var N;
-	var f;
-	var i;
-
-	lengths = [
-		8,
-		16,
-		32,
-		64,
-		128,
-		256,
-		512,
-		1024
-	];
-
-	iter = 1e6;
-
-	for ( i = 0; i < lengths.length; i++ ) {
-		N = lengths[ i ];
-		f = createBenchmark( iter, N );
-		opts = {
-			'iterations': iter
-		};
-		bench( format( '%s:N=%d', pkg, N ), opts, f );
-		iter = floor( pow( iter, 3.0/4.0 ) );
-	}
-}
-
-main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/repl.txt
deleted file mode 100644
index b09f9ec4542f..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/repl.txt
+++ /dev/null
@@ -1,56 +0,0 @@
-
-{{alias}}( N, r, strideR, offsetR, w, strideW, offsetW )
-    Computes the forward discrete Fourier transform (DFT) of a real-valued
-    sequence.
-
-    Before calling this function, one must first initialize the workspace array
-    using the corresponding initialization function with the same sequence
-    length and workspace layout.
-
-    This transform is unnormalized as a call to this function followed by a call
-    performing a backward transform will multiply the input array by `N`.
-
-    Parameters
-    ----------
-    N: integer
-        Length of the sequence to transform. The function is most efficient when
-        this value is a product of small prime numbers.
-
-    r: ArrayLikeObject<number>
-        Input array.
-
-    strideR: integer
-        Stride length for `r`.
-
-    offsetR: integer
-        Starting index for `r`.
-
-    w: ArrayLikeObject<number>
-        Workspace array containing pre-computed values.
-
-    strideW: integer
-        Stride length for `w`.
-
-    offsetW: integer
-        Starting index for `w`.
-
-    Returns
-    -------
-    r: ArrayLikeObject<number>
-        Input array.
-
-    Examples
-    --------
-    > var N = 4;
-    > var r = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0 ] );
-    > var w = new {{alias:@stdlib/array/float64}}( ( 2*N ) + 34 );
-    > {{alias:@stdlib/fft/base/fftpack/generic/rffti}}( N, w, 1, 0 )
-    <Float64Array>
-    > var out = {{alias}}( N, r, 1, 0, w, 1, 0 )
-    <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
-    > var bool = ( out === r )
-    true
-
-    See Also
-    --------
-
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/index.d.ts
deleted file mode 100644
index 4bc72a5c96a0..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/index.d.ts
+++ /dev/null
@@ -1,56 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-// TypeScript Version: 4.1
-
-/// <reference types="@stdlib/types"/>
-
-import { Collection } from '@stdlib/types/array';
-
-/**
-* Computes the forward discrete Fourier transform (DFT) of a real-valued sequence.
-*
-* @param N - length of the sequence to transform
-* @param r - input array
-* @param strideR - stride length for `r`
-* @param offsetR - starting index for `r`
-* @param w - workspace array containing pre-computed values
-* @param strideW - stride length for `w`
-* @param offsetW - starting index for `w`
-* @returns input array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-*
-* var N = 4;
-*
-* var w = new Float64Array( ( 2*N ) + 34 );
-* rffti( N, w, 1, 0 );
-*
-* var r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-*
-* rfftf( N, r, 1, 0, w, 1, 0 );
-* // r => <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
-*/
-declare function rfftf<T extends Collection<number>>( N: number, r: T, strideR: number, offsetR: number, w: Collection<number>, strideW: number, offsetW: number ): T;
-
-
-// EXPORTS //
-
-export = rfftf;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/test.ts
deleted file mode 100644
index 9ad7c70784d6..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/docs/types/test.ts
+++ /dev/null
@@ -1,148 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-import rfftf = require( './index' );
-
-
-// TESTS //
-
-// The function returns a collection...
-{
-	const r = new Float64Array( 4 );
-	const w = new Float64Array( ( 2*4 ) + 34 );
-
-	rfftf( 4, r, 1, 0, w, 1, 0 ); // $ExpectType Float64Array
-}
-
-// The compiler throws an error if the function is provided a first argument which is not a number...
-{
-	const r = new Float64Array( 4 );
-	const w = new Float64Array( ( 2*4 ) + 34 );
-
-	rfftf( '4', r, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( true, r, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( false, r, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( null, r, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( void 0, r, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( [], r, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( {}, r, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( ( x: number ): number => x, r, 1, 0, w, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a second argument which is not a collection...
-{
-	const w = new Float64Array( ( 2*4 ) + 34 );
-
-	rfftf( 4, '4', 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, 4, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, true, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, false, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, null, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, void 0, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, {}, 1, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, ( x: number ): number => x, 1, 0, w, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a third argument which is not a number...
-{
-	const r = new Float64Array( 4 );
-	const w = new Float64Array( ( 2*4 ) + 34 );
-
-	rfftf( 4, r, '1', 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, true, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, false, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, null, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, void 0, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, [], 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, {}, 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, ( x: number ): number => x, 0, w, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fourth argument which is not a number...
-{
-	const r = new Float64Array( 4 );
-	const w = new Float64Array( ( 2*4 ) + 34 );
-
-	rfftf( 4, r, 1, '0', w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, true, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, false, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, null, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, void 0, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, [], w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, {}, w, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, ( x: number ): number => x, w, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a fifth argument which is not a collection...
-{
-	const r = new Float64Array( 4 );
-
-	rfftf( 4, r, 1, 0, '42', 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, 42, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, true, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, false, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, null, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, void 0, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, {}, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, ( x: number ): number => x, 1, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a sixth argument which is not a number...
-{
-	const r = new Float64Array( 4 );
-	const w = new Float64Array( ( 2*4 ) + 34 );
-
-	rfftf( 4, r, 1, 0, w, '1', 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, true, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, false, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, null, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, void 0, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, [], 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, {}, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, ( x: number ): number => x, 0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a seventh argument which is not a number...
-{
-	const r = new Float64Array( 4 );
-	const w = new Float64Array( ( 2*4 ) + 34 );
-
-	rfftf( 4, r, 1, 0, w, 1, '0' ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, 1, true ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, 1, false ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, 1, null ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, 1, void 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, 1, [] ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, 1, {} ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, 1, ( x: number ): number => x ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an unsupported number of arguments...
-{
-	const r = new Float64Array( 4 );
-	const w = new Float64Array( ( 2*4 ) + 34 );
-
-	rfftf(); // $ExpectError
-	rfftf( 4 ); // $ExpectError
-	rfftf( 4, r ); // $ExpectError
-	rfftf( 4, r, 1 ); // $ExpectError
-	rfftf( 4, r, 1, 0 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, 1 ); // $ExpectError
-	rfftf( 4, r, 1, 0, w, 1, 0, 123 ); // $ExpectError
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/examples/index.js
deleted file mode 100644
index 9d00f237c710..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/examples/index.js
+++ /dev/null
@@ -1,38 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-var zeros = require( '@stdlib/array/zeros' );
-var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
-var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-var rfftf = require( './../lib' );
-
-var N = 4;
-var opts = {
-	'dtype': 'float64'
-};
-var r = discreteUniform( N, -10, 10, opts );
-var w = zeros( ( 2*N ) + 34 );
-
-console.log( r );
-
-rffti( N, w, 1, 0 );
-rfftf( N, r, 1, 0, w, 1, 0 );
-
-console.log( r );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/index.js
deleted file mode 100644
index a426b47bc6a3..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/index.js
+++ /dev/null
@@ -1,49 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-/**
-* Compute the forward discrete Fourier transform (DFT) of a real-valued sequence.
-*
-* @module @stdlib/fft/base/fftpack/rfftf
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-* var rfftf = require( '@stdlib/fft/base/fftpack/rfftf' );
-*
-* var N = 4;
-*
-* var w = new Float64Array( ( 2*N ) + 34 );
-* rffti( N, w, 1, 0 );
-*
-* var r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-*
-* rfftf( N, r, 1, 0, w, 1, 0 );
-* // r => <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
-*/
-
-// MODULES //
-
-var main = require( './main.js' );
-
-
-// EXPORTS //
-
-module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/main.js
deleted file mode 100644
index e8c894731ae9..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/main.js
+++ /dev/null
@@ -1,115 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var rfftf1 = require( './rfftf1.js' );
-
-
-// MAIN //
-
-/**
-* Computes the forward discrete Fourier transform (DFT) of a real-valued sequence.
-*
-* @param {NonNegativeInteger} N - length of the sequence to transform
-* @param {Collection} r - input array
-* @param {integer} strideR - stride length for `r`
-* @param {NonNegativeInteger} offsetR - starting index for `r`
-* @param {Collection} w - workspace array containing pre-computed values
-* @param {integer} strideW - stride length for `w`
-* @param {NonNegativeInteger} offsetW - starting index for `w`
-* @returns {Collection} input array
-*
-* @example
-* var Float64Array = require( '@stdlib/array/float64' );
-* var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-*
-* var N = 4;
-*
-* var w = new Float64Array( ( 2*N ) + 34 );
-* rffti( N, w, 1, 0 );
-*
-* var r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-*
-* rfftf( N, r, 1, 0, w, 1, 0 );
-* // r => <Float64Array>[ 10.0, -2.0, 2.0, -2.0 ]
-*/
-function rfftf( N, r, strideR, offsetR, w, strideW, offsetW ) {
-	var offsetT;
-	var offsetF;
-
-	// When a sub-sequence is a single data point, the FFT is the identity, so no transformation necessary...
-	if ( N === 1 ) {
-		return r;
-	}
-
-	// Resolve the starting indices for storing twiddle factors and factorization results:
-	offsetT = offsetW + ( N * strideW ); // index offset for twiddle factors
-	offsetF = offsetT + ( N * strideW ); // index offset for factors describing the sub-transforms
-
-	rfftf1( N, r, strideR, offsetR, w, strideW, offsetW, w, strideW, offsetT, w, strideW, offsetF ); // eslint-disable-line max-len
-
-	return r;
-}
-
-
-// EXPORTS //
-
-module.exports = rfftf;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf2.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf2.js
deleted file mode 100644
index 875c85e8bff7..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf2.js
+++ /dev/null
@@ -1,366 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-/* eslint-disable max-len */
-
-'use strict';
-
-// FUNCTIONS //
-
-/**
-* Resolves an index into the input array.
-*
-* ## Notes
-*
-* In a forward real FFT, the previous stage writes its results as two "rows" per sub-sequence.
-*
-* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having two "rows" (`even + odd` and `even - odd`, respectively) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
-*
-* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
-*
-* ```text
-*                  │           k = 0                    k = 1                    k = 2
-*                  │ ──────────────────────────────────────────────────────────────────────────→ k
-* j = 0 (even+odd) │  cc(0,0,0) ... cc(3,0,0)  cc(0,1,0) ... cc(3,1,0)  cc(0,2,0) ... cc(3,2,0)
-*                  │
-* j = 1 (even-odd) │  cc(0,0,1) ... cc(3,0,1)  cc(0,1,1) ... cc(3,1,1)  cc(0,2,1) ... cc(3,2,1)
-*                  └───────────────────────────────────────────────────────────────────────────→ i
-*                         ↑             ↑          ↑             ↑          ↑             ↑
-*                       i = 0          M-1         0            M-1         0            M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to either the `even + odd` or `even - odd` row.
-* -   `j` selects between the `even + odd` and `even - odd` row.
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) |
-*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑
-*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1
-* ```
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} j - input row
-* @param {NonNegativeInteger} L - number of sub-sequences
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the input array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = iptr( 0, 0, 0, L, M, stride, offset );
-* // returns 0
-*
-* idx = iptr( 1, 0, 0, L, M, stride, offset );
-* // returns 1
-*
-* idx = iptr( M-1, 0, 0, L, M, stride, offset );
-* // returns 3
-*
-* idx = iptr( 0, 1, 0, L, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = iptr( M-1, L-1, 1, L, M, stride, offset );
-* // returns 23
-*/
-function iptr( i, k, j, L, M, stride, offset ) {
-	var n = i + ( ( k+(j*L) ) * M );
-	return ( n*stride ) + offset;
-}
-
-/**
-* Resolves an index into the output array.
-*
-* ## Notes
-*
-* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having two "columns" corresponding to the even and odd half-spectrum of a folded complex vector (with real and imaginary parts of each half-spectrum interleaved along each sub-sequence) and where each "column" has `M` elements.
-*
-* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4`:
-*
-* ```text
-*                 j = 0 ("even" column)              j = 1 ("odd" column)
-* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┐
-*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┤
-* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┤
-*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┤
-* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┤
-*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┘
-*              ↑           ↑              ↑            ↑           ↑              ↑
-*            i = 0         1             M-1           0           1             M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
-* -   `j` selects between the even (0) and odd (1) column.
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,0,1)...out(3,0,1) | ... | out(0,1,2)...out(3,1,2) |
-*       ↑            ↑            ↑            ↑            ↑            ↑                  ↑            ↑
-*       0           M-1           M          2M-1          2M          3M-1              (2L-1)M       2LM-1
-* ```
-*
-* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radf2` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
-*
-* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} j - index specifying which of the two complex halves we are in (either `0` or `1`)
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the output array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = optr( 0, 0, 0, M, stride, offset );
-* // returns 0
-*
-* idx = optr( 1, 0, 0, M, stride, offset );
-* // returns 1
-*
-* idx = optr( M-1, 0, 0, M, stride, offset );
-* // returns 3
-*
-* idx = optr( 0, 1, 0, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = optr( M-1, 1, L-1, M, stride, offset );
-* // returns 23
-*/
-function optr( i, j, k, M, stride, offset ) {
-	var n = i + ( ( j+(k*2) ) * M );
-	return ( n*stride ) + offset;
-}
-
-
-// MAIN //
-
-/**
-* Performs one radix-2 stage within a forward Fourier transform for a real-valued sequence.
-*
-* @private
-* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
-* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
-* @param {Collection} cc - input array containing the sub-sequences to be transformed
-* @param {integer} sc - stride length for `cc`
-* @param {NonNegativeInteger} oc - index offset for `cc`
-* @param {Collection} out - output array containing transformed sub-sequences
-* @param {integer} so - stride length for `out`
-* @param {NonNegativeInteger} oo - index offset for `out`
-* @param {Collection} twiddles - array containing twiddle factors
-* @param {integer} st - stride length for `twiddles`
-* @param {NonNegativeInteger} ot - index offset for `twiddles`
-* @returns {void}
-*/
-function radf2( M, L, cc, sc, oc, out, so, oo, twiddles, st, ot ) { // eslint-disable-line max-params
-	var tr2;
-	var ti2;
-	var ip1;
-	var ip2;
-	var it1;
-	var it2;
-	var io;
-	var im;
-	var i;
-	var k;
-
-	/*
-	* First, perform the core butterfly for each sub-sequence being transformed.
-	*
-	* In the following loop, we handle harmonic `n = 0` for every transform. As described for `iptr`, the input array is interpreted as a three-dimensional array, containing two "rows" per sub-sequence.
-	*
-	*     row0 = even + odd    (j = 0)
-	*     row1 = even - odd    (j = 1)
-	*
-	* For a radix-2 forward FFT of a real-valued signal `x` and `n = 0`,
-	*
-	*     x[0] = row0 + row1 = 2⋅even
-	*     x[M] = row0 - row1 = 2⋅odd
-	*
-	* Because `W_2^0 = 1`, no twiddle multiplication is necessary.
-	*/
-	for ( k = 0; k < L; k++ ) {
-		ip1 = iptr( 0, k, 0, L, M, sc, oc ); // real part row 0
-		ip2 = iptr( 0, k, 1, L, M, sc, oc ); // real part row 1
-
-		io = optr( 0, 0, k, M, so, oo );
-		out[ io ] = cc[ ip1 ] + cc[ ip2 ]; // even + odd
-
-		io = optr( M-1, 1, k, M, so, oo );
-		out[ io ] = cc[ ip1 ] - cc[ ip2 ]; // even - odd
-	}
-	// When the number of elements in a sub-sequence is less than `2`, there is nothing more to do, as the above butterfly produced the full result...
-	if ( M < 2 ) {
-		return;
-	}
-	/*
-	* Next, apply the general case where we need to loop through the non-trivial harmonics.
-	*
-	* For each harmonic `n = 1, ..., M/2-1`, we need to
-	*
-	* -   recover even/odd spectra from the two input rows.
-	* -   multiply the odd part by the twiddle factor `W_n = cos(θ) - j sin(θ)`.
-	* -   form the following
-	*
-	*         x[2n]   = E_n + W_n⋅O_n    => column 0
-	*         x[2n+1] = E_n - W_n⋅O_n    => column 1
-	*
-	* The mirror index `im = M - i` selects the conjugate-symmetric partner, thus allowing the routine to read each symmetry pair only once.
-	*/
-	if ( M >= 3 ) {
-		// Loop over each sub-sequence to be transformed...
-		for ( k = 0; k < L; k++ ) {
-			// Loop over the elements in each sub-sequence...
-			for ( i = 2; i < M; i += 2 ) {
-				im = M - i; // "mirror" index
-
-				// Resolve twiddle factor indices:
-				it1 = ( (i-2)*st ) + ot; // cos(θ)
-				it2 = ( (i-1)*st ) + ot; // sin(θ)
-
-				// Load the `even-odd` row...
-				ip1 = iptr( i-1, k, 1, L, M, sc, oc ); // c = Re(row1)
-				ip2 = iptr( i, k, 1, L, M, sc, oc );   // d = Im(row1)
-
-				// eslint-disable-next-line stdlib/capitalized-comments, stdlib/empty-line-before-comment
-				// tmp = W_n ⋅ (c + j⋅d)
-				tr2 = ( twiddles[ it1 ] * cc[ ip1 ] ) + ( twiddles[ it2 ] * cc[ ip2 ] ); // Re(tmp)
-				ti2 = ( twiddles[ it1 ] * cc[ ip2 ] ) - ( twiddles[ it2 ] * cc[ ip1 ] ); // Im(tmp)
-
-				// Load the `even+odd` row...
-				ip1 = iptr( i, k, 0, L, M, sc, oc ); // b = Im(row0)
-				io = optr( i, 0, k, M, so, oo );     // Im(x[2n])
-				out[ io ] = cc[ ip1 ] + ti2;
-
-				io = optr( im, 1, k, M, so, oo ); // Im(x[2n+1])
-				out[ io ] = ti2 - cc[ ip1 ];
-
-				ip1 = iptr( i-1, k, 0, L, M, sc, oc ); // a = Re(row0)
-				io = optr( i-1, 0, k, M, so, oo );     // Re(x[2n])
-				out[ io ] = cc[ ip1 ] + tr2;
-
-				io = optr( im-1, 1, k, M, so, oo ); // Re(x[2n+1])
-				out[ io ] = cc[ ip1 ] - tr2;
-			}
-		}
-		// When `M` is odd, there is no Nyquist pair to process, so we do not need to perform any further transformations...
-		if ( M%2 === 1 ) {
-			return;
-		}
-	}
-	/*
-	* Lastly, handle the Nyquist frequency where `i = M-1` (i.e., the last element of each sub-sequence).
-	*
-	* When `M` is even, the Nyquist index is `i = M/2`. In this stage, we've stored that element at the end of each sub-sequence (i.e., `i = M-1` in the packed layout).
-	*
-	* At this point, the cosine term is -1 and the sine term is 0, so the twiddle multiplication collapses to simple addition/subtraction.
-	*
-	* In this case,
-	*
-	*     W_n⋅O_n = ±Re(O_n)
-	*
-	* where
-	*
-	*     row0 =  Re(E_n)
-	*     row1 = -Re(O_n)
-	*/
-	for ( k = 0; k < L; k++ ) {
-		ip1 = iptr( M-1, k, 1, L, M, sc, oc ); // -Re(O_n)
-		io = optr( 0, 1, k, M, so, oo );
-		out[ io ] = -cc[ ip1 ];                // -(-Re(O_n)) = Re(O_n)
-
-		ip1 = iptr( M-1, k, 0, L, M, sc, oc ); // Re(E_n)
-		io = optr( M-1, 0, k, M, so, oo );
-		out[ io ] = cc[ ip1 ];
-	}
-}
-
-
-// EXPORTS //
-
-module.exports = radf2;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf3.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf3.js
deleted file mode 100644
index fa93eb19c6bf..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf3.js
+++ /dev/null
@@ -1,401 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-/* eslint-disable max-len */
-
-'use strict';
-
-// VARIABLES //
-
-// cos( 2π/3 ):
-var TAUR = -0.5;
-
-// sin( 2π/3 ):
-var TAUI = 0.866025403784439;
-
-
-// FUNCTIONS //
-
-/**
-* Resolves an index into the input array.
-*
-* ## Notes
-*
-* In a forward real FFT, the previous stage writes its results as three "rows" per sub-sequence.
-*
-* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having three "rows" (components 0, 1, and 2) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
-*
-* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
-*
-* ```text
-*       │           k = 0                    k = 1                    k = 2
-*       │ ──────────────────────────────────────────────────────────────────────────→ k
-* j = 0 │  cc(0,0,0) ... cc(3,0,0)  cc(0,1,0) ... cc(3,1,0)  cc(0,2,0) ... cc(3,2,0)
-*       │
-* j = 1 │  cc(0,0,1) ... cc(3,0,1)  cc(0,1,1) ... cc(3,1,1)  cc(0,2,1) ... cc(3,2,1)
-*       │
-* j = 2 │  cc(0,0,2) ... cc(3,0,2)  cc(0,1,2) ... cc(3,1,2)  cc(0,2,2) ... cc(3,2,2)
-*       └───────────────────────────────────────────────────────────────────────────→ i
-*              ↑             ↑          ↑             ↑          ↑             ↑
-*            i = 0          M-1         0            M-1         0            M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to one of the three component rows.
-* -   `j` selects between the three component rows (0, 1, or 2).
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) | cc(0,0,2)...cc(3,0,2) ... cc(0,2,2)...cc(3,2,2) |
-*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑
-*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1        2LM      (2L+1)M-1       (3L-1)M      3LM-1
-* ```
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} j - input row
-* @param {NonNegativeInteger} L - number of sub-sequences
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the input array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = iptr( 0, 0, 0, L, M, stride, offset );
-* // returns 0
-*
-* idx = iptr( 1, 0, 0, L, M, stride, offset );
-* // returns 1
-*
-* idx = iptr( M-1, 0, 0, L, M, stride, offset );
-* // returns 3
-*
-* idx = iptr( 0, 1, 0, L, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = iptr( M-1, L-1, 1, L, M, stride, offset );
-* // returns 23
-*/
-function iptr( i, k, j, L, M, stride, offset ) {
-	var n = i + ( ( k+(j*L) ) * M );
-	return ( n*stride ) + offset;
-}
-
-/**
-* Resolves an index into the output array.
-*
-* ## Notes
-*
-* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having three "columns" corresponding to the three components of a radix-3 stage (with real and imaginary parts of each component interleaved along each sub-sequence) and where each "column" has `M` elements.
-*
-* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4`:
-*
-* ```text
-*                 j = 0 (component 0)                     j = 1 (component 1)                    j = 2 (component 2)
-* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┐
-*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │ out(0,2,0)  out(1,2,0) ... out(3,2,0) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
-* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
-*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │ out(0,2,1)  out(1,2,1) ... out(3,2,1) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
-* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
-*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │ out(0,2,2)  out(1,2,2) ... out(3,2,2) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┘
-*              ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑
-*            i = 0         1             M-1           0           1             M-1           0           1             M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
-* -   `j` selects between one of the three components (0, 1, or 2).
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,2,0)...out(3,2,0) | out(0,0,1)...out(3,0,1) | ... | out(0,2,2)...out(3,2,2) |
-*       ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑                  ↑            ↑
-*       0           M-1           M          2M-1          2M          3M-1          3M         4M-1              (3L-1)M       3LM-1
-* ```
-*
-* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radf3` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
-*
-* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} j - index specifying which of the three complex components we are in (0, 1, or 2)
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the output array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = optr( 0, 0, 0, M, stride, offset );
-* // returns 0
-*
-* idx = optr( 1, 0, 0, M, stride, offset );
-* // returns 1
-*
-* idx = optr( M-1, 0, 0, M, stride, offset );
-* // returns 3
-*
-* idx = optr( 0, 1, 0, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = optr( M-1, 2, L-1, M, stride, offset );
-* // returns 35
-*/
-function optr( i, j, k, M, stride, offset ) {
-	var n = i + ( ( j+(k*3) ) * M );
-	return ( n*stride ) + offset;
-}
-
-
-// MAIN //
-
-/**
-* Performs one radix-3 stage within a forward Fourier transform for a real-valued sequence.
-*
-* @private
-* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
-* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
-* @param {Collection} cc - input array containing the sub-sequences to be transformed
-* @param {integer} sc - stride length for `cc`
-* @param {NonNegativeInteger} oc - index offset for `cc`
-* @param {Collection} out - output array containing transformed sub-sequences
-* @param {integer} so - stride length for `out`
-* @param {NonNegativeInteger} oo - index offset for `out`
-* @param {Collection} twiddles1 - first array containing twiddle factors
-* @param {integer} st1 - stride length for `twiddles1`
-* @param {NonNegativeInteger} ot1 - index offset for `twiddles1`
-* @param {Collection} twiddles2 - second array containing twiddle factors
-* @param {integer} st2 - stride length for `twiddles2`
-* @param {NonNegativeInteger} ot2 - index offset for `twiddles2`
-* @returns {void}
-*/
-function radf3( M, L, cc, sc, oc, out, so, oo, twiddles1, st1, ot1, twiddles2, st2, ot2 ) { // eslint-disable-line max-params
-	var it11;
-	var it12;
-	var it21;
-	var it22;
-	var tr2;
-	var ti2;
-	var tr3;
-	var ti3;
-	var cr2;
-	var ci2;
-	var dr2;
-	var di2;
-	var dr3;
-	var di3;
-	var ip1;
-	var ip2;
-	var ip3;
-	var io;
-	var im;
-	var i;
-	var k;
-
-	/*
-	* First, perform the core butterfly for each sub-sequence being transformed.
-	*
-	* In the following loop, we handle harmonic `n = 0` for every transform. As described for `iptr`, the input array is interpreted as a three-dimensional array, containing three "rows" per sub-sequence.
-	*
-	*     row0 = input component 0    (j = 0)
-	*     row1 = input component 1    (j = 1)
-	*     row2 = input component 2    (j = 2)
-	*
-	* For a radix-3 forward FFT of a real-valued signal `x` and `n = 0`,
-	*
-	*     taur = cos(2π/3)
-	*     taui = sin(2π/3)
-	*
-	*     x[0] = row0 + row1 + row2
-	*     x[2M] = taui * ( row2-row1 )
-	*     x[M] = row0 + ( taur * ( row1+row2 ) )
-	*
-	* Because `W_3^0 = 1`, no twiddle multiplication is necessary beyond these constant factors (`taur` and `taui`).
-	*/
-	for ( k = 0; k < L; k++ ) {
-		ip1 = iptr( 0, k, 0, L, M, sc, oc ); // real part row 0
-		ip2 = iptr( 0, k, 1, L, M, sc, oc ); // real part row 1
-		ip3 = iptr( 0, k, 2, L, M, sc, oc ); // real part row 2
-
-		cr2 = cc[ ip2 ] + cc[ ip3 ];
-
-		io = optr( 0, 0, k, M, so, oo );
-		out[ io ] = cc[ ip1 ] + cr2; // row0 + row1 + row2
-
-		io = optr( 0, 2, k, M, so, oo );
-		out[ io ] = TAUI * ( cc[ ip3 ] - cc[ ip2 ] ); // taui * ( row2-row1 )
-
-		io = optr( M-1, 1, k, M, so, oo );
-		out[ io ] = cc[ ip1 ] + ( TAUR * cr2 ); // row0 + ( taur * ( row1+row2 ) )
-	}
-	// When the number of elements in a sub-sequence is less than `2`, there is nothing more to do, as the above butterfly produced the full result...
-	if ( M < 2 ) {
-		return;
-	}
-	/*
-	* Next, apply the general case where we need to loop through the non-trivial harmonics.
-	*
-	* For each harmonic `n = 1, ..., M/2-1`, we need to
-	*
-	* -   recover three spectra from the three input rows.
-	* -   apply radix-3 twiddle factors to rows 1 and 2, then combine with row 0 to form three output columns.
-	* -   form the following
-	*
-	*         x[3n]   = X₀ + (W₁⋅X₁ + W₂⋅X₂)                                         => column 0
-	*         x[3n+1] = X₀ + taur⋅(W₁⋅X₁ + W₂⋅X₂) + taui⋅i⋅(W₁⋅X₁ - W₂⋅X₂)           => column 2
-	*         x[3n+2] = X₀ + taur⋅(W₁⋅X₁ + W₂⋅X₂) - taui⋅i⋅(W₁⋅X₁ - W₂⋅X₂)           => column 1
-	*
-	* The mirror index `im = M - i` selects the conjugate-symmetric partner, thus allowing the routine to read each symmetry pair only once.
-	*/
-	// Loop over each sub-sequence to be transformed...
-	for ( k = 0; k < L; k++ ) {
-		// Loop over the elements in each sub-sequence...
-		for ( i = 2; i < M; i += 2 ) {
-			im = M - i; // "mirror" index
-
-			// Resolve twiddle factor indices for component 1:
-			it11 = ( (i-2)*st1 ) + ot1; // cos(θ) for component 1
-			it12 = ( (i-1)*st1 ) + ot1; // sin(θ) for component 1
-
-			// Resolve twiddle factor indices for component 2:
-			it21 = ( (i-2)*st2 ) + ot2; // cos(θ) for component 2
-			it22 = ( (i-1)*st2 ) + ot2; // sin(θ) for component 2
-
-			// Load component 1 data...
-			ip1 = iptr( i-1, k, 1, L, M, sc, oc ); // real part component 1
-			ip2 = iptr( i, k, 1, L, M, sc, oc );   // imag part component 1
-
-			// Apply twiddle factor for component 1:
-			dr2 = ( twiddles1[ it11 ] * cc[ ip1 ] ) + ( twiddles1[ it12 ] * cc[ ip2 ] );
-			di2 = ( twiddles1[ it11 ] * cc[ ip2 ] ) - ( twiddles1[ it12 ] * cc[ ip1 ] );
-
-			// Load component 2 data...
-			ip1 = iptr( i-1, k, 2, L, M, sc, oc ); // real part component 2
-			ip2 = iptr( i, k, 2, L, M, sc, oc );   // imag part component 2
-
-			// Apply twiddle factor for component 2:
-			dr3 = ( twiddles2[ it21 ] * cc[ ip1 ] ) + ( twiddles2[ it22 ] * cc[ ip2 ] );
-			di3 = ( twiddles2[ it21 ] * cc[ ip2 ] ) - ( twiddles2[ it22 ] * cc[ ip1 ] );
-
-			// Combine the twiddled components:
-			cr2 = dr2 + dr3; // sum of real parts
-			ci2 = di2 + di3; // sum of imag parts
-
-			// Load component 0 data...
-			ip1 = iptr( i-1, k, 0, L, M, sc, oc ); // real part component 0
-			io = optr( i-1, 0, k, M, so, oo );
-			out[ io ] = cc[ ip1 ] + cr2;
-
-			ip2 = iptr( i, k, 0, L, M, sc, oc ); // imag part component 0
-			io = optr( i, 0, k, M, so, oo );
-			out[ io ] = cc[ ip2 ] + ci2;
-
-			// Intermediate results for components 1 and 2:
-			tr2 = cc[ ip1 ] + ( TAUR * cr2 );
-			ti2 = cc[ ip2 ] + ( TAUR * ci2 );
-			tr3 = TAUI * ( di2 - di3 );
-			ti3 = TAUI * ( dr3 - dr2 );
-
-			// Output component 1:
-			io = optr( i-1, 2, k, M, so, oo );
-			out[ io ] = tr2 + tr3;
-
-			io = optr( im-1, 1, k, M, so, oo );
-			out[ io ] = tr2 - tr3;
-
-			// Output component 2:
-			io = optr( i, 2, k, M, so, oo );
-			out[ io ] = ti2 + ti3;
-
-			io = optr( im, 1, k, M, so, oo );
-			out[ io ] = ti3 - ti2;
-		}
-	}
-}
-
-
-// EXPORTS //
-
-module.exports = radf3;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf4.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf4.js
deleted file mode 100644
index 49e12bd33210..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf4.js
+++ /dev/null
@@ -1,492 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-/* eslint-disable max-len, max-statements */
-
-'use strict';
-
-// MODULES //
-
-var SQRT_HALF = require( '@stdlib/constants/float64/sqrt-half' );
-
-
-// FUNCTIONS //
-
-/**
-* Resolves an index into the input array.
-*
-* ## Notes
-*
-* In a forward real FFT, the previous stage writes its results as four "rows" per sub-sequence.
-*
-* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having four "rows" (components 0, 1, 2, and 3) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
-*
-* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
-*
-* ```text
-*       │           k = 0                    k = 1                    k = 2
-*       │ ──────────────────────────────────────────────────────────────────────────→ k
-* j = 0 │  cc(0,0,0) ... cc(3,0,0)  cc(0,1,0) ... cc(3,1,0)  cc(0,2,0) ... cc(3,2,0)
-*       │
-* j = 1 │  cc(0,0,1) ... cc(3,0,1)  cc(0,1,1) ... cc(3,1,1)  cc(0,2,1) ... cc(3,2,1)
-*       │
-* j = 2 │  cc(0,0,2) ... cc(3,0,2)  cc(0,1,2) ... cc(3,1,2)  cc(0,2,2) ... cc(3,2,2)
-*       │
-* j = 3 │  cc(0,0,3) ... cc(3,0,3)  cc(0,1,3) ... cc(3,1,3)  cc(0,2,3) ... cc(3,2,3)
-*       └───────────────────────────────────────────────────────────────────────────→ i
-*              ↑             ↑          ↑             ↑          ↑             ↑
-*            i = 0          M-1         0            M-1         0            M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to one of the four component rows.
-* -   `j` selects between the four component rows (0, 1, 2, or 3).
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) | ... | cc(0,0,3)...cc(3,0,3) ... cc(0,2,3)...cc(3,2,3) |
-*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑                 ↑           ↑             ↑           ↑
-*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1              3LM      (3L+1)M-1       (4L-1)M      4LM-1
-* ```
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} j - input row
-* @param {NonNegativeInteger} L - number of sub-sequences
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the input array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = iptr( 0, 0, 0, L, M, stride, offset );
-* // returns 0
-*
-* idx = iptr( 1, 0, 0, L, M, stride, offset );
-* // returns 1
-*
-* idx = iptr( M-1, 0, 0, L, M, stride, offset );
-* // returns 3
-*
-* idx = iptr( 0, 1, 0, L, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = iptr( M-1, L-1, 1, L, M, stride, offset );
-* // returns 23
-*/
-function iptr( i, k, j, L, M, stride, offset ) {
-	var n = i + ( ( k+(j*L) ) * M );
-	return ( n*stride ) + offset;
-}
-
-/**
-* Resolves an index into the output array.
-*
-* ## Notes
-*
-* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having four "columns" corresponding to the four components of a radix-4 stage (with real and imaginary parts of each component interleaved along each sub-sequence) and where each "column" has `M` elements.
-*
-* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4`:
-*
-* ```text
-*                 j = 0 (component 0)                     j = 1 (component 1)                    j = 2 (component 2)                    j = 3 (component 3)
-* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┐
-*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │ out(0,2,0)  out(1,2,0) ... out(3,2,0) │ out(0,3,0)  out(1,3,0) ... out(3,3,0) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
-* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
-*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │ out(0,2,1)  out(1,2,1) ... out(3,2,1) │ out(0,3,1)  out(1,3,1) ... out(3,3,1) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
-* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
-*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │ out(0,2,2)  out(1,2,2) ... out(3,2,2) │ out(0,3,2)  out(1,3,2) ... out(3,3,2) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┘
-*              ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑
-*            i = 0         1             M-1           0           1             M-1           0           1             M-1           0           1             M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
-* -   `j` selects which of the four components (0, 1, 2, or 3).
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,2,0)...out(3,2,0) | out(0,3,0)...out(3,3,0) | out(0,0,1)...out(3,0,1) | ... | out(0,3,2)...out(3,3,2) |
-*       ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑                  ↑            ↑
-*       0           M-1           M          2M-1          2M          3M-1          3M         4M-1          4M          5M-1              (4L-1)M       4LM-1
-* ```
-*
-* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radf4` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
-*
-* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} j - index specifying which of the four complex components we are in (0, 1, 2, or 3)
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the output array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = optr( 0, 0, 0, M, stride, offset );
-* // returns 0
-*
-* idx = optr( 1, 0, 0, M, stride, offset );
-* // returns 1
-*
-* idx = optr( M-1, 0, 0, M, stride, offset );
-* // returns 3
-*
-* idx = optr( 0, 1, 0, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = optr( M-1, 3, L-1, M, stride, offset );
-* // returns 47
-*/
-function optr( i, j, k, M, stride, offset ) {
-	var n = i + ( ( j+(k*4) ) * M );
-	return ( n*stride ) + offset;
-}
-
-
-// MAIN //
-
-/**
-* Performs one radix-4 stage within a forward Fourier transform for a real-valued sequence.
-*
-* @private
-* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
-* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
-* @param {Collection} cc - input array containing the sub-sequences to be transformed
-* @param {integer} sc - stride length for `cc`
-* @param {NonNegativeInteger} oc - index offset for `cc`
-* @param {Collection} out - output array containing transformed sub-sequences
-* @param {integer} so - stride length for `out`
-* @param {NonNegativeInteger} oo - index offset for `out`
-* @param {Collection} twiddles1 - first array containing twiddle factors
-* @param {integer} st1 - stride length for `twiddles1`
-* @param {NonNegativeInteger} ot1 - index offset for `twiddles1`
-* @param {Collection} twiddles2 - second array containing twiddle factors
-* @param {integer} st2 - stride length for `twiddles2`
-* @param {NonNegativeInteger} ot2 - index offset for `twiddles2`
-* @param {Collection} twiddles3 - third array containing twiddle factors
-* @param {integer} st3 - stride length for `twiddles3`
-* @param {NonNegativeInteger} ot3 - index offset for `twiddles3`
-* @returns {void}
-*/
-function radf4( M, L, cc, sc, oc, out, so, oo, twiddles1, st1, ot1, twiddles2, st2, ot2, twiddles3, st3, ot3 ) { // eslint-disable-line max-params
-	var it11;
-	var it12;
-	var it21;
-	var it22;
-	var it31;
-	var it32;
-	var tr1;
-	var tr2;
-	var tr3;
-	var tr4;
-	var ti1;
-	var ti2;
-	var ti3;
-	var ti4;
-	var cr2;
-	var cr3;
-	var cr4;
-	var ci2;
-	var ci3;
-	var ci4;
-	var ip1;
-	var ip2;
-	var ip3;
-	var ip4;
-	var io;
-	var im;
-	var i;
-	var k;
-
-	/*
-	* First, perform the core butterfly for each sub-sequence being transformed.
-	*
-	* In the following loop, we handle harmonic `n = 0` for every transform. As described for `iptr`, the input array is interpreted as a three-dimensional array, containing four "rows" per sub-sequence.
-	*
-	*     row0 = input component 0    (j = 0)
-	*     row1 = input component 1    (j = 1)
-	*     row2 = input component 2    (j = 2)
-	*     row3 = input component 3    (j = 3)
-	*
-	* For a radix-4 forward FFT of a real-valued signal `x` and `n = 0`,
-	*
-	*     tr1 = row1 + row3
-	*     tr2 = row0 + row2
-	*
-	*     x[0]    = tr1 + tr2
-	*     x[2M-1] = row0 - row2
-	*     x[2M]   = row3 - row1
-	*     x[4M-1] = tr2 - tr1
-	*
-	* Because `W_4^0 = 1`, no twiddle multiplication is necessary.
-	*/
-	for ( k = 0; k < L; k++ ) {
-		ip1 = iptr( 0, k, 0, L, M, sc, oc ); // real part row 0
-		ip2 = iptr( 0, k, 1, L, M, sc, oc ); // real part row 1
-		ip3 = iptr( 0, k, 2, L, M, sc, oc ); // real part row 2
-		ip4 = iptr( 0, k, 3, L, M, sc, oc ); // real part row 3
-
-		tr1 = cc[ ip2 ] + cc[ ip4 ]; // row1 + row3
-		tr2 = cc[ ip1 ] + cc[ ip3 ]; // row0 + row2
-
-		io = optr( 0, 0, k, M, so, oo );
-		out[ io ] = tr1 + tr2;
-
-		io = optr( M-1, 3, k, M, so, oo );
-		out[ io ] = tr2 - tr1;
-
-		io = optr( M-1, 1, k, M, so, oo );
-		out[ io ] = cc[ ip1 ] - cc[ ip3 ];
-
-		io = optr( 0, 2, k, M, so, oo );
-		out[ io ] = cc[ ip4 ] - cc[ ip2 ];
-	}
-	// When the number of elements in a sub-sequence is equal to `1`, there is nothing more to do, as the above butterfly produced the full result...
-	if ( M < 2 ) {
-		return;
-	}
-	/*
-	* Next, apply the general case where we need to loop through the non-trivial harmonics.
-	*
-	* For each harmonic `n = 1, ..., M/2-1`, we need to
-	*
-	* -   recover four spectra from the four input rows.
-	* -   apply radix-4 twiddle factors to rows 1, 2, and 3, then combine with row 0 to form four output columns.
-	* -   form the following
-	*
-	*         x[4n]   = X₀ + W₂·X₂ + (W₁·X₁ + W₃·X₃)           => column 0
-	*         x[4n+1] = X₀ + W₂·X₂ - (W₁·X₁ + W₃·X₃)           => column 3
-	*         x[4n+2] = X₀ - W₂·X₂ + i·(W₁·X₁ - W₃·X₃)         => column 2
-	*         x[4n+3] = X₀ - W₂·X₂ - i·(W₁·X₁ - W₃·X₃)         => column 1
-	*
-	* The mirror index `im = M - i` selects the conjugate-symmetric partner, thus allowing the routine to read each symmetry pair only once.
-	*/
-	if ( M >= 3 ) {
-		// Loop over each sub-sequence to be transformed...
-		for ( k = 0; k < L; k++ ) {
-			// Loop over the elements in each sub-sequence...
-			for ( i = 2; i < M; i += 2 ) {
-				im = M - i; // "mirror" index
-
-				// Resolve twiddle factor indices for component 1:
-				it11 = ( (i-2)*st1 ) + ot1; // cos(θ) for component 1
-				it12 = ( (i-1)*st1 ) + ot1; // sin(θ) for component 1
-
-				// Resolve twiddle factor indices for component 2:
-				it21 = ( (i-2)*st2 ) + ot2; // cos(θ) for component 2
-				it22 = ( (i-1)*st2 ) + ot2; // sin(θ) for component 2
-
-				// Resolve twiddle factor indices for component 3:
-				it31 = ( (i-2)*st3 ) + ot3; // cos(θ) for component 3
-				it32 = ( (i-1)*st3 ) + ot3; // sin(θ) for component 3
-
-				// Load component 1 data and apply twiddle...
-				ip1 = iptr( i-1, k, 1, L, M, sc, oc ); // real part component 1
-				ip2 = iptr( i, k, 1, L, M, sc, oc );   // imag part component 1
-
-				// Apply the twiddle factors for component 1:
-				cr2 = ( twiddles1[ it11 ] * cc[ ip1 ] ) + ( twiddles1[ it12 ] * cc[ ip2 ] );
-				ci2 = ( twiddles1[ it11 ] * cc[ ip2 ] ) - ( twiddles1[ it12 ] * cc[ ip1 ] );
-
-				// Load component 2 data and apply twiddle...
-				ip1 = iptr( i-1, k, 2, L, M, sc, oc ); // real part component 2
-				ip2 = iptr( i, k, 2, L, M, sc, oc );   // imag part component 2
-
-				// Apply the twiddle factors for component 2:
-				cr3 = ( twiddles2[ it21 ] * cc[ ip1 ] ) + ( twiddles2[ it22 ] * cc[ ip2 ] );
-				ci3 = ( twiddles2[ it21 ] * cc[ ip2 ] ) - ( twiddles2[ it22 ] * cc[ ip1 ] );
-
-				// Load component 3 data and apply twiddle...
-				ip1 = iptr( i-1, k, 3, L, M, sc, oc ); // real part component 3
-				ip2 = iptr( i, k, 3, L, M, sc, oc );   // imag part component 3
-
-				// Apply the twiddle factors for component 3:
-				cr4 = ( twiddles3[ it31 ] * cc[ ip1 ] ) + ( twiddles3[ it32 ] * cc[ ip2 ] );
-				ci4 = ( twiddles3[ it31 ] * cc[ ip2 ] ) - ( twiddles3[ it32 ] * cc[ ip1 ] );
-
-				// Radix-4 butterfly intermediate computations:
-				tr1 = cr2 + cr4;
-				tr4 = cr4 - cr2;
-				ti1 = ci2 + ci4;
-				ti4 = ci2 - ci4;
-
-				// Load component 0 data and compute intermediates...
-				ip1 = iptr( i-1, k, 0, L, M, sc, oc ); // real part component 0
-				tr2 = cc[ ip1 ] + cr3;
-				tr3 = cc[ ip1 ] - cr3;
-
-				ip2 = iptr( i, k, 0, L, M, sc, oc ); // imag part component 0
-				ti2 = cc[ ip2 ] + ci3;
-				ti3 = cc[ ip2 ] - ci3;
-
-				// Output column 0 (real part):
-				io = optr( i-1, 0, k, M, so, oo );
-				out[ io ] = tr1 + tr2;
-
-				// Output column 3 (real part):
-				io = optr( im-1, 3, k, M, so, oo );
-				out[ io ] = tr2 - tr1;
-
-				// Output column 0 (imag part):
-				io = optr( i, 0, k, M, so, oo );
-				out[ io ] = ti1 + ti2;
-
-				// Output column 3 (imag part):
-				io = optr( im, 3, k, M, so, oo );
-				out[ io ] = ti1 - ti2;
-
-				// Output column 2 (real part):
-				io = optr( i-1, 2, k, M, so, oo );
-				out[ io ] = ti4 + tr3;
-
-				// Output column 1 (real part):
-				io = optr( im-1, 1, k, M, so, oo );
-				out[ io ] = tr3 - ti4;
-
-				// Output column 2 (imag part):
-				io = optr( i, 2, k, M, so, oo );
-				out[ io ] = tr4 + ti3;
-
-				// Output column 1 (imag part):
-				io = optr( im, 1, k, M, so, oo );
-				out[ io ] = tr4 - ti3;
-			}
-		}
-
-		// When `M` is odd, there is no Nyquist pair to process, so we do not need to perform any further transformations...
-		if ( M%2 === 1 ) {
-			return;
-		}
-	}
-
-	/*
-	* Lastly, handle the Nyquist frequency where `i = M-1` (i.e., the last element of each sub-sequence).
-	*
-	* When `M` is even, the Nyquist index is `i = M/2`. In this stage, we've stored that element at the end of each sub-sequence (i.e., `i = M-1` in the packed layout).
-	*
-	* At this point, only real components exist for rows 1 and 3 (imaginary parts are zero due to symmetry), and the twiddle multiplication simplifies to involve √(1/2) factors.
-	*
-	* In this case,
-	*
-	*     ti1 = -√(1/2) ⋅ (row1 + row3)
-	*     tr1 =  √(1/2) ⋅ (row1 - row3)
-	*
-	* where
-	*
-	*     row0 = Re(X₀)
-	*     row1 = Re(X₁) (imaginary part is zero)
-	*     row2 = Re(X₂)
-	*     row3 = Re(X₃) (imaginary part is zero)
-	*/
-	for ( k = 0; k < L; k++ ) {
-		ip1 = iptr( M-1, k, 1, L, M, sc, oc ); // Re(X₁)
-		ip2 = iptr( M-1, k, 3, L, M, sc, oc ); // Re(X₃)
-
-		ti1 = -SQRT_HALF * ( cc[ ip1 ] + cc[ ip2 ] );
-		tr1 = SQRT_HALF * ( cc[ ip1 ] - cc[ ip2 ] );
-
-		ip3 = iptr( M-1, k, 0, L, M, sc, oc ); // Re(X₀)
-		ip4 = iptr( M-1, k, 2, L, M, sc, oc ); // Re(X₂)
-
-		io = optr( M-1, 0, k, M, so, oo );
-		out[ io ] = cc[ ip3 ] + tr1;
-
-		io = optr( M-1, 2, k, M, so, oo );
-		out[ io ] = cc[ ip3 ] - tr1;
-
-		io = optr( 0, 1, k, M, so, oo );
-		out[ io ] = ti1 - cc[ ip4 ];
-
-		io = optr( 0, 3, k, M, so, oo );
-		out[ io ] = cc[ ip4 ] + ti1;
-	}
-}
-
-
-// EXPORTS //
-
-module.exports = radf4;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf5.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf5.js
deleted file mode 100644
index 1cbdd24536d5..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radf5.js
+++ /dev/null
@@ -1,511 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-/* eslint-disable max-len, max-statements */
-
-'use strict';
-
-// VARIABLES //
-
-// cos( 2π/5 ):
-var TR11 = 0.309016994374947;
-
-// sin( 2π/5 ):
-var TI11 = 0.951056516295154;
-
-// cos( 4π/5 ):
-var TR12 = -0.809016994374947;
-
-// sin( 4π/5 ):
-var TI12 = 0.587785252292473;
-
-
-// FUNCTIONS //
-
-/**
-* Resolves an index into the input array.
-*
-* ## Notes
-*
-* In a forward real FFT, the previous stage writes its results as five "rows" per sub-sequence.
-*
-* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having five "rows" (components 0, 1, 2, 3, and 4) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
-*
-* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
-*
-* ```text
-*       │           k = 0                    k = 1                    k = 2
-*       │ ──────────────────────────────────────────────────────────────────────────→ k
-* j = 0 │  cc(0,0,0) ... cc(3,0,0)  cc(0,1,0) ... cc(3,1,0)  cc(0,2,0) ... cc(3,2,0)
-*       │
-* j = 1 │  cc(0,0,1) ... cc(3,0,1)  cc(0,1,1) ... cc(3,1,1)  cc(0,2,1) ... cc(3,2,1)
-*       │
-* j = 2 │  cc(0,0,2) ... cc(3,0,2)  cc(0,1,2) ... cc(3,1,2)  cc(0,2,2) ... cc(3,2,2)
-*       │
-* j = 3 │  cc(0,0,3) ... cc(3,0,3)  cc(0,1,3) ... cc(3,1,3)  cc(0,2,3) ... cc(3,2,3)
-*       │
-* j = 4 │  cc(0,0,4) ... cc(3,0,4)  cc(0,1,4) ... cc(3,1,4)  cc(0,2,4) ... cc(3,2,4)
-*       └───────────────────────────────────────────────────────────────────────────→ i
-*              ↑             ↑          ↑             ↑          ↑             ↑
-*            i = 0          M-1         0            M-1         0            M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to one of the five component rows.
-* -   `j` selects between the five component rows (0, 1, 2, 3, or 4).
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) | ... | cc(0,0,4)...cc(3,0,4) ... cc(0,2,4)...cc(3,2,4) |
-*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑                 ↑           ↑             ↑           ↑
-*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1              4LM      (4L+1)M-1       (5L-1)M      5LM-1
-* ```
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} j - input row
-* @param {NonNegativeInteger} L - number of sub-sequences
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the input array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = iptr( 0, 0, 0, L, M, stride, offset );
-* // returns 0
-*
-* idx = iptr( 1, 0, 0, L, M, stride, offset );
-* // returns 1
-*
-* idx = iptr( M-1, 0, 0, L, M, stride, offset );
-* // returns 3
-*
-* idx = iptr( 0, 1, 0, L, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = iptr( M-1, L-1, 1, L, M, stride, offset );
-* // returns 23
-*/
-function iptr( i, k, j, L, M, stride, offset ) {
-	var n = i + ( ( k+(j*L) ) * M );
-	return ( n*stride ) + offset;
-}
-
-/**
-* Resolves an index into the output array.
-*
-* ## Notes
-*
-* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having five "columns" corresponding to the five components of a radix-5 stage (with real and imaginary parts of each component interleaved along each sub-sequence) and where each "column" has `M` elements.
-*
-* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4`:
-*
-* ```text
-*                 j = 0 (component 0)                     j = 1 (component 1)                    j = 2 (component 2)                    j = 3 (component 3)                    j = 4 (component 4)
-* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┐
-*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │ out(0,2,0)  out(1,2,0) ... out(3,2,0) │ out(0,3,0)  out(1,3,0) ... out(3,3,0) │ out(0,4,0)  out(1,4,0) ... out(3,4,0) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
-* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
-*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │ out(0,2,1)  out(1,2,1) ... out(3,2,1) │ out(0,3,1)  out(1,3,1) ... out(3,3,1) │ out(0,4,1)  out(1,4,1) ... out(3,4,1) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┤
-* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┤
-*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │ out(0,2,2)  out(1,2,2) ... out(3,2,2) │ out(0,3,2)  out(1,3,2) ... out(3,3,2) │ out(0,4,2)  out(1,4,2) ... out(3,4,2) │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┘
-*              ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑
-*            i = 0         1             M-1           0           1             M-1           0           1             M-1           0           1             M-1           0           1             M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
-* -   `j` selects which of the five components (0, 1, 2, 3, or 4).
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,2,0)...out(3,2,0) | out(0,3,0)...out(3,3,0) | out(0,4,0)...out(3,4,0) | out(0,0,1)...out(3,0,1) | ... | out(0,4,2)...out(3,4,2) |
-*       ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑            ↑                  ↑            ↑
-*       0           M-1           M          2M-1          2M          3M-1          3M         4M-1          4M          5M-1          5M          6M-1              (5L-1)M       5LM-1
-* ```
-*
-* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radf5` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
-*
-* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} j - index specifying which of the five complex components we are in (0, 1, 2, 3, or 4)
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the output array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = optr( 0, 0, 0, M, stride, offset );
-* // returns 0
-*
-* idx = optr( 1, 0, 0, M, stride, offset );
-* // returns 1
-*
-* idx = optr( M-1, 0, 0, M, stride, offset );
-* // returns 3
-*
-* idx = optr( 0, 1, 0, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = optr( M-1, 4, L-1, M, stride, offset );
-* // returns 59
-*/
-function optr( i, j, k, M, stride, offset ) {
-	var n = i + ( ( j+(k*5) ) * M );
-	return ( n*stride ) + offset;
-}
-
-
-// MAIN //
-
-/**
-* Performs one radix-5 stage within a forward Fourier transform for a real-valued sequence.
-*
-* @private
-* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
-* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
-* @param {Collection} cc - input array containing the sub-sequences to be transformed
-* @param {integer} sc - stride length for `cc`
-* @param {NonNegativeInteger} oc - index offset for `cc`
-* @param {Collection} out - output array containing transformed sub-sequences
-* @param {integer} so - stride length for `out`
-* @param {NonNegativeInteger} oo - index offset for `out`
-* @param {Collection} twiddles1 - first array containing twiddle factors
-* @param {integer} st1 - stride length for `twiddles1`
-* @param {NonNegativeInteger} ot1 - index offset for `twiddles1`
-* @param {Collection} twiddles2 - second array containing twiddle factors
-* @param {integer} st2 - stride length for `twiddles2`
-* @param {NonNegativeInteger} ot2 - index offset for `twiddles2`
-* @param {Collection} twiddles3 - third array containing twiddle factors
-* @param {integer} st3 - stride length for `twiddles3`
-* @param {NonNegativeInteger} ot3 - index offset for `twiddles3`
-* @param {Collection} twiddles4 - fourth array containing twiddle factors
-* @param {integer} st4 - stride length for `twiddles4`
-* @param {NonNegativeInteger} ot4 - index offset for `twiddles4`
-* @returns {void}
-*/
-function radf5( M, L, cc, sc, oc, out, so, oo, twiddles1, st1, ot1, twiddles2, st2, ot2, twiddles3, st3, ot3, twiddles4, st4, ot4 ) { // eslint-disable-line max-params
-	var it11;
-	var it12;
-	var it21;
-	var it22;
-	var it31;
-	var it32;
-	var it41;
-	var it42;
-	var ci2;
-	var ci3;
-	var ci4;
-	var ci5;
-	var cr2;
-	var cr3;
-	var cr4;
-	var cr5;
-	var dr2;
-	var dr3;
-	var dr4;
-	var dr5;
-	var di2;
-	var di3;
-	var di4;
-	var di5;
-	var ti2;
-	var ti3;
-	var ti4;
-	var ti5;
-	var tr2;
-	var tr3;
-	var tr4;
-	var tr5;
-	var ip1;
-	var ip2;
-	var ip3;
-	var ip4;
-	var ip5;
-	var io;
-	var im;
-	var i;
-	var k;
-
-	/*
-	* First, perform the core butterfly for each sub-sequence being transformed.
-	*
-	* In the following loop, we handle harmonic `n = 0` for every transform. As described for `iptr`, the input array is interpreted as a three-dimensional array, containing five "rows" per sub-sequence.
-	*
-	*     row0 = input component 0    (j = 0)
-	*     row1 = input component 1    (j = 1)
-	*     row2 = input component 2    (j = 2)
-	*     row3 = input component 3    (j = 3)
-	*     row4 = input component 4    (j = 4)
-	*
-	* For a radix-5 forward FFT of a real-valued signal `x` and `n = 0`,
-	*
-	*     cr2 = row4 + row1
-	*     ci5 = row4 - row1
-	*     cr3 = row3 + row2
-	*     ci4 = row3 - row2
-	*
-	*     x[0]   = row0 + cr2 + cr3
-	*     x[M]   = row0 + ( TR11*cr2 ) + ( TR12*cr3 )
-	*     x[2M]  = ( TI11*ci5 ) + ( TI12*ci4 )
-	*     x[3M]  = row0 + ( TR12*cr2 ) + ( TR11*cr3 )
-	*     x[4M]  = ( TI12*ci5 ) - ( TI11*ci4 )
-	*
-	* Because `W_5^0 = 1`, no frequency-dependent twiddle multiplication is necessary beyond these constant factors.
-	*/
-	for ( k = 0; k < L; k++ ) {
-		ip1 = iptr( 0, k, 0, L, M, sc, oc ); // row 0
-		ip2 = iptr( 0, k, 1, L, M, sc, oc ); // row 1
-		ip3 = iptr( 0, k, 2, L, M, sc, oc ); // row 2
-		ip4 = iptr( 0, k, 3, L, M, sc, oc ); // row 3
-		ip5 = iptr( 0, k, 4, L, M, sc, oc ); // row 4
-
-		cr2 = cc[ ip5 ] + cc[ ip2 ]; // row4 + row1
-		ci5 = cc[ ip5 ] - cc[ ip2 ]; // row4 - row1
-		cr3 = cc[ ip4 ] + cc[ ip3 ]; // row3 + row2
-		ci4 = cc[ ip4 ] - cc[ ip3 ]; // row3 - row2
-
-		io = optr( 0, 0, k, M, so, oo );
-		out[ io ] = cc[ ip1 ] + cr2 + cr3;
-
-		io = optr( M-1, 1, k, M, so, oo );
-		out[ io ] = cc[ ip1 ] + ( TR11 * cr2 ) + ( TR12 * cr3 );
-
-		io = optr( 0, 2, k, M, so, oo );
-		out[ io ] = ( TI11 * ci5 ) + ( TI12 * ci4 );
-
-		io = optr( M-1, 3, k, M, so, oo );
-		out[ io ] = cc[ ip1 ] + ( TR12 * cr2 ) + ( TR11 * cr3 );
-
-		io = optr( 0, 4, k, M, so, oo );
-		out[ io ] = ( TI12 * ci5 ) - ( TI11 * ci4 );
-	}
-	// When the number of elements in a sub-sequence is less than `2`, there is nothing more to do, as the above butterfly produced the full result...
-	if ( M < 2 ) {
-		return;
-	}
-	/*
-	* Next, apply the general case where we need to loop through the non-trivial harmonics.
-	*
-	* For each harmonic `n = 1, ..., M/2-1`, we need to
-	*
-	* -   recover five spectra from the five input rows.
-	* -   apply radix-5 twiddle factors to rows 1, 2, 3, and 4, then combine with row 0 to form five output columns.
-	* -   form the following
-	*
-	*         x[5n]   = X₀ + (W₁⋅X₁ + W₄⋅X₄) + (W₂⋅X₂ + W₃⋅X₃)                                                                     => column 0
-	*         x[5n+1] = X₀ + TR11⋅(W₁⋅X₁ + W₄⋅X₄) + TR12⋅(W₂⋅X₂ + W₃⋅X₃) - i⋅(TI11⋅(W₁⋅X₁ - W₄⋅X₄) + TI12⋅(W₂⋅X₂ - W₃⋅X₃))         => column 1
-	*         x[5n+2] = X₀ + TR11⋅(W₁⋅X₁ + W₄⋅X₄) + TR12⋅(W₂⋅X₂ + W₃⋅X₃) + i⋅(TI11⋅(W₁⋅X₁ - W₄⋅X₄) + TI12⋅(W₂⋅X₂ - W₃⋅X₃))         => column 2
-	*         x[5n+3] = X₀ + TR12⋅(W₁⋅X₁ + W₄⋅X₄) + TR11⋅(W₂⋅X₂ + W₃⋅X₃) - i⋅(TI12⋅(W₁⋅X₁ - W₄⋅X₄) - TI11⋅(W₂⋅X₂ - W₃⋅X₃))         => column 3
-	*         x[5n+4] = X₀ + TR12⋅(W₁⋅X₁ + W₄⋅X₄) + TR11⋅(W₂⋅X₂ + W₃⋅X₃) + i⋅(TI12⋅(W₁⋅X₁ - W₄⋅X₄) - TI11⋅(W₂⋅X₂ - W₃⋅X₃))         => column 4
-	*
-	* The mirror index `im = M - i` selects the conjugate-symmetric partner, thus allowing the routine to read each symmetry pair only once.
-	*/
-	// Loop over each sub-sequence to be transformed...
-	for ( k = 0; k < L; k++ ) {
-		// Loop over the elements in each sub-sequence...
-		for ( i = 2; i < M; i += 2 ) {
-			im = M - i; // "mirror" index
-
-			// Resolve twiddle factor indices for component 1:
-			it11 = ( (i-2)*st1 ) + ot1; // cos(θ) for component 1
-			it12 = ( (i-1)*st1 ) + ot1; // sin(θ) for component 1
-
-			// Resolve twiddle factor indices for component 2:
-			it21 = ( (i-2)*st2 ) + ot2; // cos(θ) for component 2
-			it22 = ( (i-1)*st2 ) + ot2; // sin(θ) for component 2
-
-			// Resolve twiddle factor indices for component 3:
-			it31 = ( (i-2)*st3 ) + ot3; // cos(θ) for component 3
-			it32 = ( (i-1)*st3 ) + ot3; // sin(θ) for component 3
-
-			// Resolve twiddle factor indices for component 4:
-			it41 = ( (i-2)*st4 ) + ot4; // cos(θ) for component 4
-			it42 = ( (i-1)*st4 ) + ot4; // sin(θ) for component 4
-
-			// Load component 1 data and apply twiddle...
-			ip1 = iptr( i-1, k, 1, L, M, sc, oc ); // real part component 1
-			ip2 = iptr( i, k, 1, L, M, sc, oc );   // imag part component 1
-
-			// Apply the twiddle factors for component 1:
-			dr2 = ( twiddles1[ it11 ] * cc[ ip1 ] ) + ( twiddles1[ it12 ] * cc[ ip2 ] ); // Re(dr2)
-			di2 = ( twiddles1[ it11 ] * cc[ ip2 ] ) - ( twiddles1[ it12 ] * cc[ ip1 ] ); // Im(di2)
-
-			// Load component 2 data and apply twiddle...
-			ip1 = iptr( i-1, k, 2, L, M, sc, oc ); // real part component 2
-			ip2 = iptr( i, k, 2, L, M, sc, oc );   // imag part component 2
-
-			// Apply the twiddle factors for component 2:
-			dr3 = ( twiddles2[ it21 ] * cc[ ip1 ] ) + ( twiddles2[ it22 ] * cc[ ip2 ] ); // Re(dr3)
-			di3 = ( twiddles2[ it21 ] * cc[ ip2 ] ) - ( twiddles2[ it22 ] * cc[ ip1 ] ); // Im(di3)
-
-			// Load component 3 data and apply twiddle...
-			ip1 = iptr( i-1, k, 3, L, M, sc, oc ); // real part component 3
-			ip2 = iptr( i, k, 3, L, M, sc, oc );   // imag part component 3
-
-			// Apply the twiddle factors for component 3:
-			dr4 = ( twiddles3[ it31 ] * cc[ ip1 ] ) + ( twiddles3[ it32 ] * cc[ ip2 ] ); // Re(dr4)
-			di4 = ( twiddles3[ it31 ] * cc[ ip2 ] ) - ( twiddles3[ it32 ] * cc[ ip1 ] ); // Im(di4)
-
-			// Load component 4 data and apply twiddle...
-			ip1 = iptr( i-1, k, 4, L, M, sc, oc ); // real part component 4
-			ip2 = iptr( i, k, 4, L, M, sc, oc );   // imag part component 4
-
-			// Apply the twiddle factors for component 4:
-			dr5 = ( twiddles4[ it41 ] * cc[ ip1 ] ) + ( twiddles4[ it42 ] * cc[ ip2 ] ); // Re(dr5)
-			di5 = ( twiddles4[ it41 ] * cc[ ip2 ] ) - ( twiddles4[ it42 ] * cc[ ip1 ] ); // Im(di5)
-
-			// Radix-5 butterfly intermediate computations (symmetric/antisymmetric combinations):
-			cr2 = dr2 + dr5;
-			ci5 = dr5 - dr2;
-			cr5 = di2 - di5;
-			ci2 = di5 + di2;
-			cr3 = dr3 + dr4;
-			ci4 = dr4 - dr3;
-			cr4 = di3 - di4;
-			ci3 = di3 + di4;
-
-			// Output column 0 (real part):
-			ip1 = iptr( i-1, k, 0, L, M, sc, oc );
-			io = optr( i-1, 0, k, M, so, oo );
-			out[ io ] = cc[ ip1 ] + cr2 + cr3;
-
-			// Output column 0 (imag part):
-			ip2 = iptr( i, k, 0, L, M, sc, oc );
-			io = optr( i, 0, k, M, so, oo );
-			out[ io ] = cc[ ip2 ] + ci2 + ci3;
-
-			// Load component 0 data and compute intermediates...
-			tr2 = cc[ ip1 ] + ( TR11 * cr2 ) + ( TR12 * cr3 );
-			ti2 = cc[ ip2 ] + ( TR11 * ci2 ) + ( TR12 * ci3 );
-			tr3 = cc[ ip1 ] + ( TR12 * cr2 ) + ( TR11 * cr3 );
-			ti3 = cc[ ip2 ] + ( TR12 * ci2 ) + ( TR11 * ci3 );
-
-			// Additional intermediates:
-			tr5 = ( TI11 * cr5 ) + ( TI12 * cr4 );
-			ti5 = ( TI11 * ci5 ) + ( TI12 * ci4 );
-			tr4 = ( TI12 * cr5 ) - ( TI11 * cr4 );
-			ti4 = ( TI12 * ci5 ) - ( TI11 * ci4 );
-
-			// Output column 2 (real part):
-			io = optr( i-1, 2, k, M, so, oo );
-			out[ io ] = tr2 + tr5;
-
-			// Output column 1 (real part):
-			io = optr( im-1, 1, k, M, so, oo );
-			out[ io ] = tr2 - tr5;
-
-			// Output column 2 (imag part):
-			io = optr( i, 2, k, M, so, oo );
-			out[ io ] = ti2 + ti5;
-
-			// Output column 1 (imag part):
-			io = optr( im, 1, k, M, so, oo );
-			out[ io ] = ti5 - ti2;
-
-			// Output column 4 (real part):
-			io = optr( i-1, 4, k, M, so, oo );
-			out[ io ] = tr3 + tr4;
-
-			// Output column 3 (real part):
-			io = optr( im-1, 3, k, M, so, oo );
-			out[ io ] = tr3 - tr4;
-
-			// Output column 4 (imag part):
-			io = optr( i, 4, k, M, so, oo );
-			out[ io ] = ti3 + ti4;
-
-			// Output column 3 (imag part):
-			io = optr( im, 3, k, M, so, oo );
-			out[ io ] = ti4 - ti3;
-		}
-	}
-}
-
-
-// EXPORTS //
-
-module.exports = radf5;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radfg.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radfg.js
deleted file mode 100644
index dd1f5424bbe7..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/radfg.js
+++ /dev/null
@@ -1,765 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-/* eslint-disable max-len, max-statements, max-lines-per-function */
-
-'use strict';
-
-// MODULES //
-
-var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
-var cos = require( '@stdlib/math/base/special/cos' );
-var sin = require( '@stdlib/math/base/special/sin' );
-var floor = require( '@stdlib/math/base/special/floor' );
-
-
-// FUNCTIONS //
-
-/**
-* Resolves an index into the input array.
-*
-* ## Notes
-*
-* In a forward real FFT, the previous stage writes its results as `R` "rows" per sub-sequence.
-*
-* Thus, when reading from an input array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having `R` "rows" (components 0, 1, 2, ..., R-1) and where each "row" is arranged as `M*L` contiguous elements corresponding to interleaved real and imaginary components.
-*
-* Accordingly, the following is a logical view of an input array (zero-based indexing) which contains `L = 3` transforms and in which each sub-sequence has length `M = 4`:
-*
-* ```text
-*       │           k = 0                        k = 1                        k = 2
-*       │ ─────────────────────────────────────────────────────────────────────────────────────→ k
-* j = 0 │  cc(0,0,0) ... cc(3,0,0)      cc(0,1,0) ... cc(3,1,0)      cc(0,2,0) ... cc(3,2,0)
-*       │
-* j = 1 │  cc(0,0,1) ... cc(3,0,1)      cc(0,1,1) ... cc(3,1,1)      cc(0,2,1) ... cc(3,2,1)
-*       │
-* j = 2 │  cc(0,0,2) ... cc(3,0,2)      cc(0,1,2) ... cc(3,1,2)      cc(0,2,2) ... cc(3,2,2)
-*       │
-* j = 3 │  cc(0,0,3) ... cc(3,0,3)      cc(0,1,3) ... cc(3,1,3)      cc(0,2,3) ... cc(3,2,3)
-*       │
-*  ...  │           ...                      ...                      ...
-*       │
-* j=R-1 │  cc(0,0,R-1) ... cc(3,0,R-1)  cc(0,1,R-1) ... cc(3,1,R-1)  cc(0,2,R-1) ... cc(3,2,R-1)
-*       └──────────────────────────────────────────────────────────────────────────────────────→ i
-*              ↑             ↑              ↑             ↑              ↑             ↑
-*            i = 0          M-1             0            M-1             0            M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short sub-sequence corresponding to one of the R component rows.
-* -   `j` selects between the R component rows (0, 1, 2, ..., R-1).
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | cc(0,0,0)...cc(3,0,0) ... cc(0,2,0)...cc(3,2,0) | cc(0,0,1)...cc(3,0,1) ... cc(0,2,1)...cc(3,2,1) | ... | cc(0,0,R-1)...cc(3,0,R-1) ... cc(0,2,R-1)...cc(3,2,R-1) |
-*       ↑           ↑             ↑           ↑           ↑           ↑             ↑           ↑                 ↑           ↑                 ↑               ↑
-*       0          M-1           LM         LM-1       (L+1)M     (L+1)M-1       (2L-1)M      2LM-1           (R-1)LM    ((R-1)L+1)M-1       (RL-1)M          RLM-1
-* ```
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} j - input row
-* @param {NonNegativeInteger} L - number of sub-sequences
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the input array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the input array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = iptr( 0, 0, 0, L, M, stride, offset );
-* // returns 0
-*
-* idx = iptr( 1, 0, 0, L, M, stride, offset );
-* // returns 1
-*
-* idx = iptr( M-1, 0, 0, L, M, stride, offset );
-* // returns 3
-*
-* idx = iptr( 0, 1, 0, L, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = iptr( M-1, L-1, 6, L, M, stride, offset );
-* // returns 83
-*/
-function iptr( i, k, j, L, M, stride, offset ) {
-	var n = i + ( ( k+(j*L) ) * M );
-	return ( n*stride ) + offset;
-}
-
-/**
-* Resolves an index into the output array.
-*
-* ## Notes
-*
-* When writing to an output array stored in linear memory, we can reinterpret the array as a three-dimensional logical view containing `L` independent sub-sequences having `R` "columns" corresponding to the `R` components of a radix-R stage (with real and imaginary parts of each component interleaved along each sub-sequence) and where each "column" has `M` elements.
-*
-* Accordingly, the following is a logical view of an output array (zero-based indexing) which contains `L = 3` transforms and in which each "column" sub-sequence has length `M = 4` for an arbitrary radix `R`:
-*
-* ```text
-*                 j = 0 (component 0)                     j = 1 (component 1)                    j = 2 (component 2)                                ...                                  j = R-1 (component R-1)
-* k = 0 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────────────┐
-*        │ out(0,0,0)  out(1,0,0) ... out(3,0,0) │ out(0,1,0)  out(1,1,0) ... out(3,1,0) │ out(0,2,0)  out(1,2,0) ... out(3,2,0) │                  ...                  │ out(0,R-1,0)  out(1,R-1,0) ... out(3,R-1,0)   │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────────────┤
-* k = 1 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────────────┤
-*        │ out(0,0,1)  out(1,0,1) ... out(3,0,1) │ out(0,1,1)  out(1,1,1) ... out(3,1,1) │ out(0,2,1)  out(1,2,1) ... out(3,2,1) │                  ...                  │ out(0,R-1,1)  out(1,R-1,1) ... out(3,R-1,1)   │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────────────┤
-* k = 2 ─┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────┬───────────────────────────────────────────────┤
-*        │ out(0,0,2)  out(1,0,2) ... out(3,0,2) │ out(0,1,2)  out(1,1,2) ... out(3,1,2) │ out(0,2,2)  out(1,2,2) ... out(3,2,2) │                  ...                  │ out(0,R-1,2)  out(1,R-1,2) ... out(3,R-1,2)   │
-*        └───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────┴───────────────────────────────────────────────┘
-*              ↑           ↑              ↑            ↑           ↑              ↑            ↑           ↑              ↑                                                        ↑             ↑                ↑
-*            i = 0         1             M-1           0           1             M-1           0           1             M-1                                                       0             1               M-1
-* ```
-*
-* In the above,
-*
-* -   `i` is the fastest varying index, which walks within one short "column" sub-sequence.
-* -   `j` selects which of the R components we are in (0, 1, 2, ..., R-1).
-* -   `k` specifies the index of one of the `L` independent transforms we are processing.
-*
-* In linear memory, the three-dimensional logical view is arranged as follows:
-*
-* ```text
-* | out(0,0,0)...out(3,0,0) | out(0,1,0)...out(3,1,0) | out(0,2,0)...out(3,2,0) | ... | out(0,R-1,0)...out(3,R-1,0) | out(0,0,1)...out(3,0,1) | ... | out(0,R-1,2)...out(3,R-1,2) |
-*       ↑            ↑            ↑            ↑            ↑            ↑                   ↑              ↑             ↑            ↑                   ↑              ↑
-*       0           M-1           M          2M-1          2M          3M-1               (R-1)M          RM-1           RM         (R+1)M-1            (RL-1)M         RLM-1
-* ```
-*
-* As may be observed, when resolving an index in the output array, the `j` and `k` dimensions are swapped relative index resolution in the input array. This stems from `radfg` being only one stage in a multi-stage driver which alternates between using `cc` and `out` as workspace buffers. After each stage, the next stage reads what the previous stage wrote.
-*
-* Each stage expects a transpose, and, in order to avoid explicit transposition between the stages, we swap the last two logical dimensions while still maintaining cache locality within the inner loop logical dimension, as indexed by `i`.
-*
-* @private
-* @param {NonNegativeInteger} i - index of an element within a sub-sequence
-* @param {NonNegativeInteger} j - index specifying which of the R complex components we are in (0, 1, ..., R-1)
-* @param {NonNegativeInteger} k - index of the sub-sequence being transformed
-* @param {NonNegativeInteger} R - radix
-* @param {NonNegativeInteger} M - sub-sequence length
-* @param {integer} stride - stride length of the output array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the output array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-*
-* var idx = optr( 0, 0, 0, 7, M, stride, offset );
-* // returns 0
-*
-* idx = optr( 1, 0, 0, 7, M, stride, offset );
-* // returns 1
-*
-* idx = optr( M-1, 0, 0, 7, M, stride, offset );
-* // returns 3
-*
-* idx = optr( 0, 1, 0, 7, M, stride, offset );
-* // returns 4
-*
-* // ...
-*
-* idx = optr( M-1, 6, L-1, 7, M, stride, offset );
-* // returns 83
-*/
-function optr( i, j, k, R, M, stride, offset ) {
-	var n = i + ( ( j+(k*R) ) * M );
-	return ( n*stride ) + offset;
-}
-
-/**
-* Resolves an index into a flattened workspace array.
-*
-* ## Notes
-*
-* During the general radix stage, flattened workspace arrays store `ML = M * L` elements for each of the `R` component columns. Both the flattened input and output workspace arrays share the same `[ML, R]` logical layout.
-*
-* Thus, when accessing a flattened workspace array stored in linear memory, we can reinterpret the array as a two-dimensional logical view having `R` component columns, where each column has `ML` elements.
-*
-* Accordingly, the following is a logical view of a flattened workspace array (zero-based indexing) having flattened dimension `ML` and arbitrary radix `R`:
-*
-* ```text
-*           │   j = 0          j = 1          j = 2          ...         j = R-1
-*           │ ────────────────────────────────────────────────────────────────────────→ j
-* ik = 0    │  ws(0,0)        ws(0,1)        ws(0,2)         ...        ws(0,R-1)
-*           │
-* ik = 1    │  ws(1,0)        ws(1,1)        ws(1,2)         ...        ws(1,R-1)
-*           │
-* ik = 2    │  ws(2,0)        ws(2,1)        ws(2,2)         ...        ws(2,R-1)
-*           │
-* ik = 3    │  ws(3,0)        ws(3,1)        ws(3,2)         ...        ws(3,R-1)
-*           │
-*  ...      │    ...            ...            ...           ...            ...
-*           │
-* ik = ML-1 │  ws(ML-1,0)     ws(ML-1,1)     ws(ML-1,2)      ...       ws(ML-1,R-1)
-* ```
-*
-* In the above,
-*
-* -   `ik` is the fastest varying index, which walks along the flattened sub-sequence dimension.
-* -   `j` selects between the `R` workspace component columns (0, 1, 2, ..., R-1).
-*
-* In linear memory, the two-dimensional logical view is arranged as follows:
-*
-* ```text
-* | ws(0,0)...ws(ML-1,0) | ws(0,1)...ws(ML-1,1) | ws(0,2)...ws(ML-1,2) | ... | ws(0,R-1)...ws(ML-1,R-1) |
-*      ↑           ↑          ↑           ↑          ↑          ↑                  ↑            ↑
-*      0          ML-1        ML        2ML-1       2ML       3ML-1             (R-1)ML       RML-1
-* ```
-*
-* Here, the original `M` and `L` dimensions have been collapsed into the single flattened `ik` dimension. Each workspace component `j` therefore occupies one contiguous block of `ML` elements in linear memory.
-*
-* @private
-* @param {NonNegativeInteger} ik - index of an element within a flattened sub-sequence
-* @param {NonNegativeInteger} j - index specifying which of the R workspace component columns we are in (0, 1, ..., R-1)
-* @param {NonNegativeInteger} ML - flattened sub-sequence length
-* @param {integer} stride - stride length of the flattened workspace array
-* @param {NonNegativeInteger} offset - index specifying the first indexed element in the flattened workspace array
-* @returns {NonNegativeInteger} computed index
-*
-* @example
-* var stride = 1;
-* var offset = 0;
-*
-* var M = 4; // sub-sequence length
-* var L = 3; // number of sub-sequences
-* var ML = M * L; // flattened dimension ( 4*3 = 12 )
-*
-* var idx = fptr( 0, 0, ML, stride, offset );
-* // returns 0
-*
-* idx = fptr( 1, 0, ML, stride, offset );
-* // returns 1
-*
-* idx = fptr( ML-1, 0, ML, stride, offset );
-* // returns 11
-*
-* idx = fptr( 0, 1, ML, stride, offset );
-* // returns 12
-*
-* // ...
-*
-* idx = fptr( ML-1, 6, ML, stride, offset );
-* // returns 83
-*/
-function fptr( ik, j, ML, stride, offset ) {
-	var n = ik + ( j*ML );
-	return ( n*stride ) + offset;
-}
-
-
-// MAIN //
-
-/**
-* Performs one general radix stage within a forward Fourier transform for a real-valued sequence.
-*
-* @private
-* @param {NonNegativeInteger} M - number of elements in each sub-sequence to be transformed
-* @param {NonNegativeInteger} R - radix of the transform
-* @param {NonNegativeInteger} L - number of sub-sequences to be transformed
-* @param {NonNegativeInteger} ML - number of elements in each flattened sub-sequence (`M*L`)
-* @param {Collection} cc - input array containing the sub-sequences to be transformed
-* @param {integer} sc - stride length for `cc`
-* @param {NonNegativeInteger} oc - index offset for `cc`
-* @param {Collection} c1 - input workspace array containing intermediate sub-sequences to be transformed
-* @param {integer} sc1 - stride length for `c1`
-* @param {NonNegativeInteger} oc1 - index offset for `c1`
-* @param {Collection} c2 - flattened input workspace array containing intermediate sub-sequences
-* @param {integer} sc2 - stride length for `c2`
-* @param {NonNegativeInteger} oc2 - index offset for `c2`
-* @param {Collection} ch - output array containing transformed sequences
-* @param {integer} sch - stride length for `ch`
-* @param {NonNegativeInteger} och - index offset for `ch`
-* @param {Collection} ch2 - flattened output workspace array containing intermediate sub-sequences
-* @param {integer} sch2 - stride length for `ch2`
-* @param {NonNegativeInteger} och2 - index offset for `ch2`
-* @param {Collection} twiddles - array of twiddle factors
-* @param {integer} stw - stride length for `twiddles`
-* @param {NonNegativeInteger} otw - index offset for `twiddles`
-* @returns {void}
-*/
-function radfg( M, R, L, ML, cc, sc, oc, c1, sc1, oc1, c2, sc2, oc2, ch, sch, och, ch2, sch2, och2, twiddles, stw, otw ) { // eslint-disable-line max-params
-	var ar1h;
-	var ar2h;
-	var idij;
-	var ic2o;
-	var ic1o;
-	var ich;
-	var icc;
-	var Rph;
-	var Rp1;
-	var ih1;
-	var ih2;
-	var ih3;
-	var ih4;
-	var ic1;
-	var ic2;
-	var ic3;
-	var ic4;
-	var it1;
-	var it2;
-	var io1;
-	var io2;
-	var io3;
-	var io4;
-	var dc2;
-	var ai1;
-	var ai2;
-	var ar1;
-	var ar2;
-	var ds2;
-	var nbd;
-	var dcp;
-	var dsp;
-	var im;
-	var ik;
-	var is;
-	var jc;
-	var lc;
-	var j2;
-	var i;
-	var j;
-	var k;
-	var l;
-
-	// Compute the basic rotation angle for the radix-R DFT matrix:
-	dcp = cos( TWO_PI / R ); // cos(2π/R)
-	dsp = sin( TWO_PI / R ); // sin(2π/R)
-
-	// Compute half the radix, rounded up, which is used as the exclusive upper bound for conjugate-symmetric component loops:
-	Rph = floor( ( R + 1 ) / 2 );
-	Rp1 = R + 1;
-
-	// Compute the number of non-DC complex harmonics in each sub-sequence:
-	nbd = floor( ( M - 1 ) / 2 );
-
-	/*
-	* First, initialize the work arrays for the general-radix butterfly.
-	*
-	* At this stage, each sub-sequence has already been split into `R` radix components. The `j = 0` component is carried in the flattened work arrays, while the remaining components `j = 1, ..., R-1` are carried in the three-dimensional work arrays.
-	*
-	* For harmonic `n = 0`, we only copy the DC terms.
-	*
-	* For harmonics `n = 1, ..., floor((M-1)/2)`, each nonzero radix component is multiplied by its stage twiddle factor and stored in `ch`.
-	*/
-	if ( M === 1 ) {
-		// Copy the DC column from the flattened output workspace back to the flattened input workspace...
-		for ( ik = 0; ik < ML; ik++ ) {
-			ic2o = fptr( ik, 0, ML, sc2, oc2 );
-			ich = fptr( ik, 0, ML, sch2, och2 );
-			c2[ ic2o ] = ch2[ ich ];
-		}
-	} else {
-		// Copy the DC column into the flattened output workspace...
-		for ( ik = 0; ik < ML; ik++ ) {
-			ich = fptr( ik, 0, ML, sch2, och2 );
-			ic2o = fptr( ik, 0, ML, sc2, oc2 );
-			ch2[ ich ] = c2[ ic2o ];
-		}
-
-		// Copy the DC terms for the remaining radix components...
-		for ( j = 1; j < R; j++ ) {
-			for ( k = 0; k < L; k++ ) {
-				ih1 = optr( 0, k, j, L, M, sch, och );
-				ic1 = iptr( 0, k, j, L, M, sc1, oc1 );
-				ch[ ih1 ] = c1[ ic1 ];
-			}
-		}
-
-		// Apply twiddle factors to the non-DC harmonics of the remaining radix components...
-		if ( nbd <= L ) {
-			// Loop over harmonics before sub-sequences...
-			is = 0;
-			for ( j = 1; j < R; j++ ) {
-				idij = is;
-				for ( i = 2; i < M; i += 2 ) {
-					for ( k = 0; k < L; k++ ) {
-						// Resolve output indices in ch:
-						ih1 = optr( i-1, k, j, L, M, sch, och ); // real part
-						ih2 = optr( i, k, j, L, M, sch, och );   // imaginary part
-
-						// Resolve indices in the input workspace:
-						ic1 = iptr( i-1, k, j, L, M, sc1, oc1 ); // real part
-						ic2 = iptr( i, k, j, L, M, sc1, oc1 );   // imaginary part
-
-						// Resolve twiddle factor indices:
-						it1 = ( idij * stw ) + otw;     // cos(θ)
-						it2 = ( (idij+1) * stw ) + otw; // sin(θ)
-
-						// Apply the twiddle factor:
-						ch[ ih1 ] = ( twiddles[ it1 ] * c1[ ic1 ] ) + ( twiddles[ it2 ] * c1[ ic2 ] ); // Re(ch)
-						ch[ ih2 ] = ( twiddles[ it1 ] * c1[ ic2 ] ) - ( twiddles[ it2 ] * c1[ ic1 ] ); // Im(ch)
-					}
-					idij += 2;
-				}
-				is += M;
-			}
-		} else {
-			// Loop over sub-sequences before harmonics...
-			is = 0;
-			for ( j = 1; j < R; j++ ) {
-				for ( k = 0; k < L; k++ ) {
-					idij = is;
-					for ( i = 2; i < M; i += 2 ) {
-						// Resolve output indices in ch:
-						ih1 = optr( i-1, k, j, L, M, sch, och ); // real part
-						ih2 = optr( i, k, j, L, M, sch, och );   // imaginary part
-
-						// Resolve indices in the input workspace:
-						ic1 = iptr( i-1, k, j, L, M, sc1, oc1 ); // real part
-						ic2 = iptr( i, k, j, L, M, sc1, oc1 );   // imaginary part
-
-						// Resolve twiddle factor indices:
-						it1 = ( idij * stw ) + otw;     // cos(θ)
-						it2 = ( (idij+1) * stw ) + otw; // sin(θ)
-
-						// Apply the twiddle factor:
-						ch[ ih1 ] = ( twiddles[ it1 ] * c1[ ic1 ] ) + ( twiddles[ it2 ] * c1[ ic2 ] ); // Re(ch)
-						ch[ ih2 ] = ( twiddles[ it1 ] * c1[ ic2 ] ) - ( twiddles[ it2 ] * c1[ ic1 ] ); // Im(ch)
-
-						idij += 2;
-					}
-				}
-				is += M;
-			}
-		}
-
-		/*
-		* Next, combine mirrored radix components, storing their sums and differences in c1.
-		*/
-		if ( nbd >= L ) {
-			// Loop over sub-sequences before harmonics...
-			for ( j = 1; j < Rph; j++ ) {
-				jc = Rp1 - j - 1; // "mirror" index
-				for ( k = 0; k < L; k++ ) {
-					for ( i = 2; i < M; i += 2 ) {
-						// Resolve ch indices for component j:
-						ih1 = optr( i-1, k, j, L, M, sch, och ); // Re(ch[j])
-						ih2 = optr( i, k, j, L, M, sch, och );   // Im(ch[j])
-
-						// Resolve ch indices for conjugate component jc:
-						ih3 = optr( i-1, k, jc, L, M, sch, och ); // Re(ch[jc])
-						ih4 = optr( i, k, jc, L, M, sch, och );   // Im(ch[jc])
-
-						// Resolve input-workspace indices for component j:
-						ic1 = iptr( i-1, k, j, L, M, sc1, oc1 ); // Re(component j)
-						ic2 = iptr( i, k, j, L, M, sc1, oc1 );   // Im(component j)
-
-						// Resolve input-workspace indices for component jc:
-						ic3 = iptr( i-1, k, jc, L, M, sc1, oc1 ); // Re(component jc)
-						ic4 = iptr( i, k, jc, L, M, sc1, oc1 );   // Im(component jc)
-
-						// Form the sum and difference combinations:
-						c1[ ic1 ] = ch[ ih1 ] + ch[ ih3 ]; // Re(j) + Re(jc)
-						c1[ ic3 ] = ch[ ih2 ] - ch[ ih4 ]; // Im(j) - Im(jc)
-						c1[ ic2 ] = ch[ ih2 ] + ch[ ih4 ]; // Im(j) + Im(jc)
-						c1[ ic4 ] = ch[ ih3 ] - ch[ ih1 ]; // Re(jc) - Re(j)
-					}
-				}
-			}
-		} else {
-			// Loop over harmonics before sub-sequences...
-			for ( j = 1; j < Rph; j++ ) {
-				jc = Rp1 - j - 1; // "mirror" index
-				for ( i = 2; i < M; i += 2 ) {
-					for ( k = 0; k < L; k++ ) {
-						// Resolve ch indices for component j:
-						ih1 = optr( i-1, k, j, L, M, sch, och ); // Re(ch[j])
-						ih2 = optr( i, k, j, L, M, sch, och );   // Im(ch[j])
-
-						// Resolve ch indices for conjugate component jc:
-						ih3 = optr( i-1, k, jc, L, M, sch, och ); // Re(ch[jc])
-						ih4 = optr( i, k, jc, L, M, sch, och );   // Im(ch[jc])
-
-						// Resolve input-workspace indices for component j:
-						ic1 = iptr( i-1, k, j, L, M, sc1, oc1 ); // Re(component j)
-						ic2 = iptr( i, k, j, L, M, sc1, oc1 );   // Im(component j)
-
-						// Resolve input-workspace indices for component jc:
-						ic3 = iptr( i-1, k, jc, L, M, sc1, oc1 ); // Re(component jc)
-						ic4 = iptr( i, k, jc, L, M, sc1, oc1 );   // Im(component jc)
-
-						// Form the sum and difference combinations:
-						c1[ ic1 ] = ch[ ih1 ] + ch[ ih3 ]; // Re(j) + Re(jc)
-						c1[ ic3 ] = ch[ ih2 ] - ch[ ih4 ]; // Im(j) - Im(jc)
-						c1[ ic2 ] = ch[ ih2 ] + ch[ ih4 ]; // Im(j) + Im(jc)
-						c1[ ic4 ] = ch[ ih3 ] - ch[ ih1 ]; // Re(jc) - Re(j)
-					}
-				}
-			}
-		}
-	}
-
-	// Combine the DC terms for each conjugate-symmetric component pair...
-	for ( j = 1; j < Rph; j++ ) {
-		jc = Rp1 - j - 1; // "mirror" index
-		for ( k = 0; k < L; k++ ) {
-			ih1 = optr( 0, k, j, L, M, sch, och );
-			ih2 = optr( 0, k, jc, L, M, sch, och );
-
-			ic1 = iptr( 0, k, j, L, M, sc1, oc1 );
-			ic2 = iptr( 0, k, jc, L, M, sc1, oc1 );
-
-			c1[ ic1 ] = ch[ ih1 ] + ch[ ih2 ];
-			c1[ ic2 ] = ch[ ih2 ] - ch[ ih1 ];
-		}
-	}
-
-	/*
-	* Next, apply the radix-`R` DFT matrix.
-	*
-	* For each mirrored output pair, accumulate the contributions of the radix components in the flattened work array.
-	*
-	* The required rotation factors are generated recursively from the previous ones:
-	*
-	*     W_l = W_{l-1} ⋅ W_1
-	*     W_{lj} = W_{l(j-1)} ⋅ W_l
-	*
-	* Here, `W_1` is the basic radix-`R` rotation, `W_{l-1}` and `W_l` are the previous and current outer factors, and `W_{l(j-1)}` and `W_{lj}` are the previous and current inner factors.
-	*/
-	ar1 = 1.0; // Re(W_0)
-	ai1 = 0.0; // Im(W_0)
-	for ( l = 1; l < Rph; l++ ) {
-		lc = Rp1 - l - 1; // "mirror" index
-
-		// Advance the rotation factor by one step: W_l = W_{l-1} ⋅ W_1
-		ar1h = ( dcp * ar1 ) - ( dsp * ai1 ); // Re(W_l)
-		ai1 = ( dcp * ai1 ) + ( dsp * ar1 );  // Im(W_l)
-		ar1 = ar1h;
-
-		// Accumulate the contributions from components 1 and R-1:
-		for ( ik = 0; ik < ML; ik++ ) {
-			ich = fptr( ik, l, ML, sch2, och2 );
-			ic1o = fptr( ik, lc, ML, sch2, och2 );
-
-			ic2o = fptr( ik, 0, ML, sc2, oc2 );
-			ic1 = fptr( ik, 1, ML, sc2, oc2 );
-			ic2 = fptr( ik, R-1, ML, sc2, oc2 );
-
-			ch2[ ich ] = c2[ ic2o ] + ( ar1 * c2[ ic1 ] );
-			ch2[ ic1o ] = ai1 * c2[ ic2 ];
-		}
-
-		// Save W_l for the inner recurrence:
-		dc2 = ar1;
-		ds2 = ai1;
-
-		// Initialize W_{l·1}:
-		ar2 = ar1;
-		ai2 = ai1;
-
-		// Accumulate the remaining component pairs:
-		for ( j = 2; j < Rph; j++ ) {
-			jc = Rp1 - j - 1; // "mirror" index
-
-			// Advance the nested rotation factor by one step: W_{l*j} = W_{l*(j-1)} ⋅ W_l
-			ar2h = ( dc2 * ar2 ) - ( ds2 * ai2 ); // Re(W_{l*j})
-			ai2 = ( dc2 * ai2 ) + ( ds2 * ar2 );  // Im(W_{l*j})
-			ar2 = ar2h;
-
-			// Accumulate the contributions from components j and jc:
-			for ( ik = 0; ik < ML; ik++ ) {
-				ich = fptr( ik, l, ML, sch2, och2 );
-				ic1o = fptr( ik, lc, ML, sch2, och2 );
-
-				ic1 = fptr( ik, j, ML, sc2, oc2 );
-				ic2 = fptr( ik, jc, ML, sc2, oc2 );
-
-				ch2[ ich ] += ar2 * c2[ ic1 ];
-				ch2[ ic1o ] += ai2 * c2[ ic2 ];
-			}
-		}
-	}
-
-	// Accumulate the nonzero radix components into the DC output...
-	for ( j = 1; j < Rph; j++ ) {
-		for ( ik = 0; ik < ML; ik++ ) {
-			ich = fptr( ik, 0, ML, sch2, och2 );
-			ic1 = fptr( ik, j, ML, sc2, oc2 );
-			ch2[ ich ] += c2[ ic1 ];
-		}
-	}
-
-	// Copy the first output column from ch to cc...
-	if ( M >= L ) {
-		for ( k = 0; k < L; k++ ) {
-			for ( i = 0; i < M; i++ ) {
-				icc = optr( i, 0, k, R, M, sc, oc );
-				ih1 = optr( i, k, 0, L, M, sch, och );
-				cc[ icc ] = ch[ ih1 ];
-			}
-		}
-	} else {
-		for ( i = 0; i < M; i++ ) {
-			for ( k = 0; k < L; k++ ) {
-				icc = optr( i, 0, k, R, M, sc, oc );
-				ih1 = optr( i, k, 0, L, M, sch, och );
-				cc[ icc ] = ch[ ih1 ];
-			}
-		}
-	}
-
-	/*
-	* `cc` is stored in output order, where the component index comes before the sub-sequence index. Accordingly, writes to `cc` use `optr`, not `iptr`.
-	*/
-	// Store DC harmonics for conjugate pairs in the output array...
-	for ( j = 1; j < Rph; j++ ) {
-		jc = Rp1 - j - 1; // "mirror" index
-		j2 = 2 * j;       // output column index
-		for ( k = 0; k < L; k++ ) {
-			io1 = optr( M-1, j2-1, k, R, M, sc, oc );
-			io2 = optr( 0, j2, k, R, M, sc, oc );
-
-			ih1 = optr( 0, k, j, L, M, sch, och );
-			ih2 = optr( 0, k, jc, L, M, sch, och );
-
-			cc[ io1 ] = ch[ ih1 ];
-			cc[ io2 ] = ch[ ih2 ];
-		}
-	}
-
-	// When M = 1, there are no non-DC harmonics to process, so we're done...
-	if ( M === 1 ) {
-		return;
-	}
-
-	/*
-	* Finally, store the non-DC harmonics in folded format.
-	*
-	* For each mirror pair, write the non-DC harmonics from `ch` to the two output columns as the required sum and difference combinations.
-	*/
-	if ( nbd >= L ) {
-		// Loop over sub-sequences before harmonics...
-		for ( j = 1; j < Rph; j++ ) {
-			jc = Rp1 - j - 1; // "mirror" index
-			j2 = 2 * j;       // output column index
-			for ( k = 0; k < L; k++ ) {
-				for ( i = 2; i < M; i += 2 ) {
-					im = M - i; // "mirror" harmonic index
-
-					// Resolve ch indices for component j:
-					ih1 = optr( i-1, k, j, L, M, sch, och ); // Re(ch[j])
-					ih2 = optr( i, k, j, L, M, sch, och );   // Im(ch[j])
-
-					// Resolve ch indices for conjugate component jc:
-					ih3 = optr( i-1, k, jc, L, M, sch, och ); // Re(ch[jc])
-					ih4 = optr( i, k, jc, L, M, sch, och );   // Im(ch[jc])
-
-					// Resolve cc output indices:
-					io1 = optr( i-1, j2, k, R, M, sc, oc );
-					io2 = optr( im-1, j2-1, k, R, M, sc, oc );
-					io3 = optr( i, j2, k, R, M, sc, oc );
-					io4 = optr( im, j2-1, k, R, M, sc, oc );
-
-					// Store the sum and difference combinations:
-					cc[ io1 ] = ch[ ih1 ] + ch[ ih3 ];
-					cc[ io2 ] = ch[ ih1 ] - ch[ ih3 ];
-					cc[ io3 ] = ch[ ih2 ] + ch[ ih4 ];
-					cc[ io4 ] = ch[ ih4 ] - ch[ ih2 ];
-				}
-			}
-		}
-	} else {
-		// Loop over harmonics before sub-sequences...
-		for ( j = 1; j < Rph; j++ ) {
-			jc = Rp1 - j - 1; // "mirror" index
-			j2 = 2 * j;       // output column index
-			for ( i = 2; i < M; i += 2 ) {
-				im = M - i; // "mirror" harmonic index
-				for ( k = 0; k < L; k++ ) {
-					// Resolve ch indices for component j:
-					ih1 = optr( i-1, k, j, L, M, sch, och ); // Re(ch[j])
-					ih2 = optr( i, k, j, L, M, sch, och );   // Im(ch[j])
-
-					// Resolve ch indices for conjugate component jc:
-					ih3 = optr( i-1, k, jc, L, M, sch, och ); // Re(ch[jc])
-					ih4 = optr( i, k, jc, L, M, sch, och );   // Im(ch[jc])
-
-					// Resolve cc output indices:
-					io1 = optr( i-1, j2, k, R, M, sc, oc );
-					io2 = optr( im-1, j2-1, k, R, M, sc, oc );
-					io3 = optr( i, j2, k, R, M, sc, oc );
-					io4 = optr( im, j2-1, k, R, M, sc, oc );
-
-					// Store the sum and difference combinations:
-					cc[ io1 ] = ch[ ih1 ] + ch[ ih3 ];
-					cc[ io2 ] = ch[ ih1 ] - ch[ ih3 ];
-					cc[ io3 ] = ch[ ih2 ] + ch[ ih4 ];
-					cc[ io4 ] = ch[ ih4 ] - ch[ ih2 ];
-				}
-			}
-		}
-	}
-}
-
-
-// EXPORTS //
-
-module.exports = radfg;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/rfftf1.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/rfftf1.js
deleted file mode 100644
index c3768b4d701f..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/lib/rfftf1.js
+++ /dev/null
@@ -1,181 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*
-*
-* ## Notice
-*
-* The original C code and copyright notice are from the [PFFFT library]{@link https://github.com/marton78/pffft/blob/0b4ee12c4ba45a4a8e567550c16d96d1679f50ce/src/fftpack.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (c) 2004 the University Corporation for Atmospheric
-* Research ("UCAR"). All rights reserved. Developed by NCAR's
-* Computational and Information Systems Laboratory, UCAR,
-* www.cisl.ucar.edu.
-*
-* Redistribution and use of the Software in source and binary forms,
-* with or without modification, is permitted provided that the
-* following conditions are met:
-*
-*     - Neither the names of NCAR's Computational and Information Systems
-*       Laboratory, the University Corporation for Atmospheric Research,
-*       nor the names of its sponsors or contributors may be used to
-*       endorse or promote products derived from this Software without
-*       specific prior written permission.
-*
-*     - Redistributions of source code must retain the above copyright
-*       notices, this list of conditions, and the disclaimer below.
-*
-*     - Redistributions in binary form must reproduce the above copyright
-*       notice, this list of conditions, and the disclaimer below in the
-*       documentation and/or other materials provided with the
-*       distribution.
-*
-* THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-* EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
-* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-* NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
-* HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
-* EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
-* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
-* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-* SOFTWARE.
-* ```
-*/
-
-/* eslint-disable max-len */
-
-'use strict';
-
-// MODULES //
-
-var floor = require( '@stdlib/math/base/special/floor' );
-var gcopy = require( '@stdlib/blas/base/gcopy' ).ndarray;
-var radf2 = require( './radf2.js' );
-var radf3 = require( './radf3.js' );
-var radf4 = require( './radf4.js' );
-var radf5 = require( './radf5.js' );
-var radfg = require( './radfg.js' );
-
-
-// MAIN //
-
-/**
-* Performs the forward Fourier transform.
-*
-* @private
-* @param {NonNegativeInteger} N - length of the sequence to transform
-* @param {Collection} c - input array containing the sequence to be transformed
-* @param {integer} sc - stride length for `c`
-* @param {NonNegativeInteger} oc - starting index for `c`
-* @param {Collection} ch - working array for intermediate results
-* @param {integer} sch - stride length for `ch`
-* @param {NonNegativeInteger} och - starting index for `ch`
-* @param {Collection} wa - workspace array for storing twiddle factors
-* @param {integer} swa - stride length for `wa`
-* @param {NonNegativeInteger} owa - starting index for `wa`
-* @param {Collection} ifac - workspace array for storing factorization results
-* @param {integer} si - stride length for `ifac`
-* @param {NonNegativeInteger} oi - starting index for `ifac`
-* @returns {void}
-*/
-function rfftf1( N, c, sc, oc, ch, sch, och, wa, swa, owa, ifac, si, oi ) { // eslint-disable-line max-params
-	var factor;
-	var idl1;
-	var FLG;
-	var ido;
-	var ix4;
-	var ix3;
-	var ix2;
-	var nf;
-	var l2;
-	var l1;
-	var kh;
-	var iw;
-	var k1;
-
-	// Resolve the number of factors:
-	nf = ifac[ oi+si ];
-
-	FLG = 1; // flag to track whether the latest stage output resides in `c` or `ch`
-	l2 = N;
-
-	// Initialize an index offset to the last element in each workspace:
-	iw = N - 1;
-
-	for ( k1 = 1; k1 <= nf; k1++ ) {
-		kh = nf - k1;
-
-		// Resolve the next factor:
-		factor = ifac[ oi+((kh+2)*si) ];
-
-		// Compute a sub-transform length:
-		l1 = floor( l2 / factor );
-
-		ido = floor( N / l2 );
-		idl1 = ido * l1;
-
-		// Adjust the index offset
-		iw -= ( ( factor - 1 ) * ido );
-
-		// Toggle the flag to swap the input and output work buffers for the next stage:
-		FLG = 1 - FLG;
-
-		switch ( factor ) {
-		case 4:
-			ix2 = iw + ido;
-			ix3 = ix2 + ido;
-			radf4( ido, l1, ( FLG ) ? ch : c, ( FLG ) ? sch : sc, ( FLG ) ? och : oc, ( FLG ) ? c : ch, ( FLG ) ? sc : sch, ( FLG ) ? oc : och, wa, swa, owa+(iw*swa), wa, swa, owa+(ix2*swa), wa, swa, owa+(ix3*swa) );
-			break;
-		case 2:
-			radf2( ido, l1, ( FLG ) ? ch : c, ( FLG ) ? sch : sc, ( FLG ) ? och : oc, ( FLG ) ? c : ch, ( FLG ) ? sc : sch, ( FLG ) ? oc : och, wa, swa, owa+(iw*swa) );
-			break;
-		case 3:
-			ix2 = iw + ido;
-			radf3( ido, l1, ( FLG ) ? ch : c, ( FLG ) ? sch : sc, ( FLG ) ? och : oc, ( FLG ) ? c : ch, ( FLG ) ? sc : sch, ( FLG ) ? oc : och, wa, swa, owa+(iw*swa), wa, swa, owa+(ix2*swa) );
-			break;
-		case 5:
-			ix2 = iw + ido;
-			ix3 = ix2 + ido;
-			ix4 = ix3 + ido;
-			radf5( ido, l1, ( FLG ) ? ch : c, ( FLG ) ? sch : sc, ( FLG ) ? och : oc, ( FLG ) ? c : ch, ( FLG ) ? sc : sch, ( FLG ) ? oc : och, wa, swa, owa+(iw*swa), wa, swa, owa+(ix2*swa ), wa, swa, owa+(ix3*swa), wa, swa, owa+(ix4*swa) );
-			break;
-		default:
-			if ( ido === 1 ) {
-				FLG = 1 - FLG;
-			}
-			if ( FLG === 0 ) {
-				radfg( ido, factor, l1, idl1, c, sc, oc, c, sc, oc, c, sc, oc, ch, sch, och, ch, sch, och, wa, swa, owa+(iw*swa) );
-				FLG = 1;
-			} else {
-				radfg( ido, factor, l1, idl1, ch, sch, och, ch, sch, och, ch, sch, och, c, sc, oc, c, sc, oc, wa, swa, owa+(iw*swa) );
-				FLG = 0;
-			}
-			break;
-		}
-		l2 = l1;
-	}
-	if ( FLG === 1 ) {
-		return;
-	}
-	// Now that we've finished computing the transforms, copy over the final results to the input array...
-	gcopy( N, ch, sch, och, c, sc, oc );
-}
-
-
-// EXPORTS //
-
-module.exports = rfftf1;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/package.json
deleted file mode 100644
index 43cda925e14c..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/package.json
+++ /dev/null
@@ -1,62 +0,0 @@
-{
-  "name": "@stdlib/fft/base/fftpack/rfftf",
-  "version": "0.0.0",
-  "description": "Compute the forward discrete Fourier transform (DFT) of a real-valued sequence.",
-  "license": "Apache-2.0",
-  "author": {
-    "name": "The Stdlib Authors",
-    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-  },
-  "contributors": [
-    {
-      "name": "The Stdlib Authors",
-      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-    }
-  ],
-  "main": "./lib",
-  "directories": {
-    "benchmark": "./benchmark",
-    "doc": "./docs",
-    "example": "./examples",
-    "lib": "./lib",
-    "test": "./test"
-  },
-  "types": "./docs/types",
-  "scripts": {},
-  "homepage": "https://github.com/stdlib-js/stdlib",
-  "repository": {
-    "type": "git",
-    "url": "git://github.com/stdlib-js/stdlib.git"
-  },
-  "bugs": {
-    "url": "https://github.com/stdlib-js/stdlib/issues"
-  },
-  "dependencies": {},
-  "devDependencies": {},
-  "engines": {
-    "node": ">=0.10.0",
-    "npm": ">2.7.0"
-  },
-  "os": [
-    "aix",
-    "darwin",
-    "freebsd",
-    "linux",
-    "macos",
-    "openbsd",
-    "sunos",
-    "win32",
-    "windows"
-  ],
-  "keywords": [
-    "stdlib",
-    "fft",
-    "fftpack",
-    "rfftf",
-    "fourier",
-    "transform",
-    "forward",
-    "real"
-  ],
-  "__stdlib__": {}
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/Makefile b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/Makefile
deleted file mode 100644
index 4b8cac6acbd2..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/Makefile
+++ /dev/null
@@ -1,138 +0,0 @@
-#/
-# @license Apache-2.0
-#
-# Copyright (c) 2026 The Stdlib Authors.
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#    http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-#/
-
-# VARIABLES #
-
-ifndef VERBOSE
-	QUIET := @
-endif
-
-# Specify the path to FFTPACK:
-FFTPACK ?=
-
-# Specify a list of FFTPACK source files:
-FFTPACK_SRC ?=
-
-# Determine the OS:
-#
-# [1]: https://en.wikipedia.org/wiki/Uname#Examples
-# [2]: http://stackoverflow.com/a/27776822/2225624
-OS ?= $(shell uname)
-ifneq (, $(findstring MINGW,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring MSYS,$(OS)))
-	OS := WINNT
-else
-ifneq (, $(findstring CYGWIN,$(OS)))
-	OS := WINNT
-endif
-endif
-endif
-
-# Define the program used for compiling C source files:
-ifdef C_COMPILER
-	CC := $(C_COMPILER)
-else
-	CC := gcc
-endif
-
-# Define the command-line options when compiling C files:
-CFLAGS ?= \
-	-std=c99 \
-	-O3 \
-	-ffp-contract=off \
-	-Wall \
-	-pedantic
-
-# Determine whether to generate [position independent code][1]:
-#
-# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
-# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
-ifeq ($(OS), WINNT)
-	fPIC ?=
-else
-	fPIC ?= -fPIC
-endif
-
-# List of C targets:
-c_targets := runner.out
-
-
-# RULES #
-
-#/
-# Compiles C source files.
-#
-# @param {string} [C_COMPILER] - C compiler
-# @param {string} [CFLAGS] - C compiler flags
-# @param {(string|void)} [fPIC] - flag indicating whether to generate position independent code
-#
-# @example
-# make
-#
-# @example
-# make all
-#/
-all: $(c_targets)
-
-.PHONY: all
-
-#/
-# Compiles C source files.
-#
-# @private
-# @param {string} CC - C compiler
-# @param {string} CFLAGS - C compiler flags
-# @param {(string|void)} fPIC - flag indicating whether to generate position independent code
-#/
-$(c_targets): %.out: %.c
-	$(QUIET) $(CC) $(CFLAGS) -DFFTPACK_DOUBLE_PRECISION $(fPIC) -o $@ $(FFTPACK_SRC) $< -lm
-
-#/
-# Generates test fixtures.
-#
-# @example
-# make run
-#/
-run: $(c_targets)
-	$(QUIET) ./$<
-
-.PHONY: run
-
-#/
-# Removes generated files.
-#
-# @example
-# make clean
-#/
-clean:
-	$(QUIET) -rm -f *.o *.out
-
-.PHONY: clean
-
-#/
-# Removes generated test fixtures.
-#
-# @example
-# make clean-fixtures
-#/
-clean-fixtures:
-	$(QUIET) -rm -f *.json
-
-.PHONY: clean-fixtures
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/large.json b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/large.json
deleted file mode 100644
index bb503d1af6b9..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/large.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/medium.json b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/medium.json
deleted file mode 100644
index 6f956976e745..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/medium.json
+++ /dev/null
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diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/runner.c b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/runner.c
deleted file mode 100644
index 83735d958f19..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/runner.c
+++ /dev/null
@@ -1,318 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-/**
-* Generate FFTPACK test fixtures.
-*
-* ## Notes
-*
-* -   Run this script from the directory in which fixtures should be written.
-*
-*/
-
-#include <stdlib.h>
-#include <stdio.h>
-#include <time.h>
-
-/**
-* Define prototypes for external functions.
-*/
-extern void rffti( int n, double *wsave );
-extern void rfftf( int n, double *r, double *wsave );
-
-/**
-* Generates a random number on the interval [0,1].
-*
-* @return random number
-*/
-double rand_double( void ) {
-	int r = rand();
-	return (double)r / ( (double)RAND_MAX + 1.0 );
-}
-
-/**
-* Generates an array of pseudorandom integers drawn from a uniform distribution.
-*
-* ## Notes
-*
-* -   WARNING: the method used here is not particularly robust, as some integer values may be sampled more frequently than others.
-*
-*
-* @param out  output array
-* @param len  array length
-* @param a    lower bound (inclusive)
-* @param b    upper bound (exclusive)
-*/
-void rand_array_i32( int *out, const unsigned int len, const int a, const int b ) {
-	unsigned int i;
-	unsigned int r;
-	double delta;
-
-	delta = (double)b - (double)a;
-
-	for ( i = 0; i < len; i++ ) {
-		r = (unsigned int)( delta * rand_double() ); // truncation
-		out[ i ] = (int)( a + r );
-	}
-}
-
-/**
-* Generates an array of pseudorandom numbers drawn from a uniform distribution.
-*
-* @param out  output array
-* @param len  array length
-* @param a    lower bound (inclusive)
-* @param b    upper bound (exclusive)
-*/
-void rand_array_f64( double *out, const unsigned int len, const double a, const double b ) {
-	unsigned int i;
-	double delta;
-
-	delta = b - a;
-
-	for ( i = 0; i < len; i++ ) {
-		out[ i ] = a + ( rand_double()*delta );
-	}
-}
-
-/**
-* Writes an array of doubles to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of doubles
-* @param len  array length
-*/
-void write_array_f64( FILE *f, const double *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%.17g", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes an array of integers to a file as a series of comma-separated values.
-*
-* @param f    file to write to
-* @param x    array of integers
-* @param len  array length
-*/
-void write_array_i32( FILE *f, const int *x, const unsigned int len ) {
-	unsigned int i;
-
-	for ( i = 0; i < len; i++ ) {
-		fprintf( f, "%d", x[ i ] );
-		if ( i < len-1 ) {
-			fprintf( f, "," );
-		}
-	}
-}
-
-/**
-* Writes a named array of doubles to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_f64( FILE *f, const char *name, const double *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_f64( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes a named array of integers to a file as JSON.
-*
-* @param f     file to write to
-* @param name  array name
-* @param x     data
-* @param len   array length
-*/
-void write_named_array_i32( FILE *f, const char *name, const int *x, const unsigned int len ) {
-	fprintf( f, "\"%s\":[", name );
-	write_array_i32( f, x, len );
-	fprintf( f, "]" );
-}
-
-/**
-* Writes data to a file as JSON.
-*
-* ## Notes
-*
-* -   This function SHOULD be tailored to the input data (e.g., input types, output types, number of arguments, etc) and may vary from use case to use case.
-*
-*
-* @param f         file to write to
-* @param lengths   sequence lengths
-* @param offsets   offsets
-* @param input     input values
-* @param expected  results
-* @param num       number of sequence lengths
-* @param total     total array length
-*/
-void write_data_as_json( FILE *f, const int *lengths, const int *offsets, const double *input, const double *expected, const unsigned int num, const unsigned int total ) {
-	fprintf( f, "{" );
-	write_named_array_i32( f, "lengths", lengths, num );
-	fprintf( f, "," );
-	write_named_array_i32( f, "offsets", offsets, num );
-	fprintf( f, "," );
-	write_named_array_f64( f, "input", input, total );
-	fprintf( f, "," );
-	write_named_array_f64( f, "expected", expected, total );
-	fprintf( f, "}\n" );
-}
-
-/**
-* Generates test fixtures.
-*
-* @param lengths  sequence lengths
-* @param offsets  input offsets into flat arrays
-* @param num      number of sequence lengths
-* @param total    total number of input and output values
-* @param name     output filename
-*/
-void generate( const int *lengths, const int *offsets, const unsigned int num, const unsigned int total, const char *name ) {
-	unsigned int i;
-	unsigned int j;
-	double *expected;
-	double *input;
-	double *wsave;
-	FILE *f;
-	int off;
-	int n;
-
-	// Allocate output arrays:
-	input = (double*) malloc( total * sizeof(double) );
-	if ( input == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-	expected = (double*) malloc( total * sizeof(double) );
-	if ( expected == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	for ( i = 0; i < num; i++ ) {
-		n = lengths[ i ];
-		off = offsets[ i ];
-
-		rand_array_f64( input + off, (unsigned int)n, -10.0, 10.0 );
-		for ( j = 0; j < (unsigned int)n; j++ ) {
-			expected[ off + j ] = input[ off + j ];
-		}
-
-		wsave = (double*) calloc( 2*n + 15, sizeof(double) );
-		if ( wsave == NULL ) {
-			printf( "Error allocating memory.\n" );
-			exit( 1 );
-		}
-		rffti( n, wsave );
-		rfftf( n, expected + off, wsave );
-		free( wsave );
-	}
-	// Open a new file:
-	f = fopen( name, "w" );
-	if ( f == NULL ) {
-		printf( "Error opening file.\n" );
-		exit( 1 );
-	}
-
-	// Write data as JSON:
-	write_data_as_json( f, lengths, offsets, input, expected, num, total );
-
-	// Close the file:
-	fclose( f );
-
-	// Free allocated memory:
-	free( input );
-	free( expected );
-}
-
-/**
-* Computes offsets into flat input and output arrays for each sequence length.
-*
-* @param offsets  output array of offsets
-* @param lengths  sequence lengths
-* @param num      number of sequence lengths
-* @return total number of values
-*/
-unsigned int compute_offsets( int *offsets, const int *lengths, const unsigned int num ) {
-	unsigned int total;
-	unsigned int i;
-
-	total = 0;
-	for ( i = 0; i < num; i++ ) {
-		offsets[ i ] = total;
-		total += lengths[ i ];
-	}
-	return total;
-}
-
-/**
-* Main execution sequence.
-*/
-int main( void ) {
-	unsigned int total;
-	unsigned int num;
-	int *lengths;
-	int *offsets;
-
-	// Use the current time to seed the random number generator:
-	srand( time( NULL ) );
-
-	// Define the number of sequence lengths per range:
-	num = 10;
-
-	// Allocate arrays:
-	lengths = (int*) malloc( num * sizeof(int) );
-	if ( lengths == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-	offsets = (int*) malloc( num * sizeof(int) );
-	if ( offsets == NULL ) {
-		printf( "Error allocating memory.\n" );
-		exit( 1 );
-	}
-
-	// Generate fixture data:
-	rand_array_i32( lengths, num, 2, 16 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "small.json" );
-
-	rand_array_i32( lengths, num, 16, 128 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "medium.json" );
-
-	rand_array_i32( lengths, num, 128, 1024 );
-	total = compute_offsets( offsets, lengths, num );
-	generate( lengths, offsets, num, total, "large.json" );
-
-	// Free allocated memory:
-	free( lengths );
-	free( offsets );
-
-	return 0;
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/small.json b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/small.json
deleted file mode 100644
index 8d557d1163b5..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/fixtures/c/fftpack/small.json
+++ /dev/null
@@ -1 +0,0 @@
-{"lengths":[4,13,5,5,15,10,10,2,10,15],"offsets":[0,4,17,22,27,42,52,62,64,74],"input":[-9.116728724911809,-4.8596726823598146,3.4812678024172783,9.668060727417469,-8.9032003656029701,3.9114638883620501,-0.026319427415728569,-2.3505385220050812,-5.5008794739842415,6.7187159508466721,1.4591167215257883,3.3748283609747887,0.74036757461726665,3.3579106442630291,-3.5956973303109407,7.115019578486681,2.1341895684599876,9.3241720646619797,-8.6399579886347055,8.2260956522077322,-4.010230703279376,0.05261685699224472,4.3315941374748945,1.1027806997299194,-5.564692746847868,-5.7909615617245436,-8.6909349635243416,-8.5439217090606689,2.3078472074121237,7.9881112929433584,-3.8133587222546339,8.8800034765154123,6.2185775488615036,-4.3670093547552824,3.6738187074661255,5.8711233921349049,-4.0290241781622171,4.1906843520700932,-7.1679836977273226,7.6980144530534744,0.52905097603797913,-8.2401633262634277,7.5749892555177212,-7.1554449666291475,-1.5635318774729967,1.7198013328015804,4.7010921128094196,-8.7447449564933777,7.0715260319411755,-8.8618475571274757,-1.0718837380409241,4.8500846140086651,-4.6277761366218328,0.96651383675634861,4.1981401853263378,-1.8577941041439772,-3.9454446267336607,8.9122058637440205,7.4440999515354633,-7.0119780208915472,9.685426251962781,2.9591707978397608,-5.2162992861121893,9.6579357422888279,0.92617449350655079,6.2147978693246841,-7.8920833580195904,-2.2449817415326834,8.5919307451695204,4.5801795646548271,-0.92194274067878723,4.9084284529089928,-4.0428752824664116,-8.6048257909715176,-1.3070579431951046,-7.7227832470089197,3.1819853372871876,-0.37233305163681507,2.1984764840453863,9.7943628113716841,-6.1440743599087,-3.4577368106693029,5.8174742758274078,-5.7097223773598671,-3.3039627131074667,-9.7012667916715145,-9.1909652855247259,7.446452509611845,-7.4725344125181437],"expected":[-0.8270728774368763,-12.597996527329087,14.527733409777284,-10.443848967552185,8.4349771682173014,-9.7567153511884861,8.5923802120769253,4.57425773203913,4.0866333108592272,-14.22715060271884,-6.6576554982603335,-26.372765919953665,2.8296022954701328,-8.980587583926571,-6.8431158070115705,-7.3253292347795274,-19.352006438403265,4.952695881947875,3.259831328816762,1.0747977763238268,17.574250891864249,16.746805214608187,-14.612214434891939,11.173642831905873,-9.4473745727180862,6.9614497292273327,-5.541407201183806,11.195770418271422,-14.991257708546126,-15.946231614575851,-17.300471915627686,-4.6130790288011587,-19.788622037389842,-4.3067661197842559,-5.5157193718121711,-30.002457820459789,-25.180834475904703,-12.913945229888764,18.854087307931454,19.383661310646723,-5.7544798257416492,19.640630053430741,-1.47995974868536,6.3230358066860246,-1.1461816305236983,9.6659206372041417,15.672241202115009,17.024128064244636,19.603107401239232,-11.850330015300589,-4.8679641623852099,34.904343318194151,16.722563998773694,-6.1633397371209089,8.1826596782807925,2.5224321416795537,-2.68207208227156,-32.079778889875975,12.531437445164677,-0.17263982326092409,-15.643991329488166,8.7863272521644831,4.4416364561766386,-14.874235028401017,1.5148022118955851,-16.303884263575817,-3.8387589572180141,14.638762167581284,-6.9882295533190071,11.265068834141644,-29.609707780796953,-1.6302781281256387,0.023841251436460542,-8.1923944968730211,-25.943685574457049,-6.2112734554560713,-26.110422946311445,-2.2624743686374584,8.8755320203980546,-8.2645672629549143,25.11030762650708,-12.000561912417531,-15.582412082646586,-21.114386739209294,5.5941560454209212,34.194765437856233,-13.8671250199453,18.827406514084274,-0.55489016140835545]}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/test.js
deleted file mode 100644
index 51fb2e0b807b..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/rfftf/test/test.js
+++ /dev/null
@@ -1,387 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var tape = require( 'tape' );
-var Float64Array = require( '@stdlib/array/float64' );
-var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' );
-var rffti = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-var rfftf = require( './../lib' );
-
-
-// FIXTURES //
-
-var small = require( './fixtures/c/fftpack/small.json' );
-var medium = require( './fixtures/c/fftpack/medium.json' );
-var large = require( './fixtures/c/fftpack/large.json' );
-
-
-// TESTS //
-
-tape( 'main export is a function', function test( t ) {
-	t.ok( true, __filename );
-	t.strictEqual( typeof rfftf, 'function', 'main export is a function' );
-	t.end();
-});
-
-tape( 'the function has an arity of 7', function test( t ) {
-	t.strictEqual( rfftf.length, 7, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function returns a reference to the input array', function test( t ) {
-	var out;
-	var w;
-	var N;
-	var r;
-
-	N = 4;
-	r = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-	w = new Float64Array( ( 2*N ) + 34 );
-
-	rffti( N, w, 1, 0 );
-	out = rfftf( N, r, 1, 0, w, 1, 0 );
-
-	t.strictEqual( out, r, 'same reference' );
-	t.end();
-});
-
-tape( 'the function returns all zeros for a zero sequence', function test( t ) {
-	var expected;
-	var w;
-	var N;
-	var r;
-
-	N = 4;
-	r = new Float64Array( [ 0.0, 0.0, 0.0, 0.0 ] );
-	expected = new Float64Array( [ 0.0, 0.0, 0.0, 0.0 ] );
-	w = new Float64Array( ( 2*N ) + 34 );
-
-	rffti( N, w, 1, 0 );
-	rfftf( N, r, 1, 0, w, 1, 0 );
-
-	t.deepEqual( r, expected, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function returns only a zero-frequency term for a constant sequence', function test( t ) {
-	var expected;
-	var w;
-	var N;
-	var r;
-
-	N = 4;
-	r = new Float64Array( [ 1.0, 1.0, 1.0, 1.0 ] );
-	expected = new Float64Array( [ 4.0, 0.0, 0.0, 0.0 ] );
-	w = new Float64Array( ( 2*N ) + 34 );
-
-	rffti( N, w, 1, 0 );
-	rfftf( N, r, 1, 0, w, 1, 0 );
-
-	t.deepEqual( r, expected, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function computes the exact two-point real FFT', function test( t ) {
-	var expected;
-	var w;
-	var N;
-	var r;
-
-	N = 2;
-	r = new Float64Array( [ 3.0, -1.0 ] );
-
-	// For [ a, b ], output is [ a+b, a-b ]...
-	expected = new Float64Array( [ 2.0, 4.0 ] );
-	w = new Float64Array( ( 2*N ) + 34 );
-
-	rffti( N, w, 1, 0 );
-	rfftf( N, r, 1, 0, w, 1, 0 );
-
-	t.deepEqual( r, expected, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function computes a forward real-valued FFT (small sequence lengths)', function test( t ) {
-	var expected;
-	var lengths;
-	var offsets;
-	var input;
-	var ulps;
-	var off;
-	var w;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-	var r;
-
-	lengths = small.lengths;
-	offsets = small.offsets;
-	input = small.input;
-	expected = small.expected;
-
-	ulps = 20;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		r = new Float64Array( N );
-		for ( i = 0; i < N; i++ ) {
-			r[ i ] = input[ off+i ];
-		}
-		w = new Float64Array( ( 2*N ) + 34 );
-
-		rffti( N, w, 1, 0 );
-		rfftf( N, r, 1, 0, w, 1, 0 );
-
-		for ( i = 0; i < N; i++ ) {
-			y = r[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within tolerance. N: '+N+'. index: '+i+'. y: '+y+'. E: '+e+'.' );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function computes a forward real-valued FFT (medium sequence lengths)', function test( t ) {
-	var expected;
-	var lengths;
-	var offsets;
-	var input;
-	var ulps;
-	var off;
-	var w;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-	var r;
-
-	lengths = medium.lengths;
-	offsets = medium.offsets;
-	input = medium.input;
-	expected = medium.expected;
-
-	ulps = 130;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		r = new Float64Array( N );
-		for ( i = 0; i < N; i++ ) {
-			r[ i ] = input[ off+i ];
-		}
-		w = new Float64Array( ( 2*N ) + 34 );
-
-		rffti( N, w, 1, 0 );
-		rfftf( N, r, 1, 0, w, 1, 0 );
-
-		for ( i = 0; i < N; i++ ) {
-			y = r[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within tolerance. N: '+N+'. index: '+i+'. y: '+y+'. E: '+e+'.' );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function computes a forward real-valued FFT (large sequence lengths)', function test( t ) {
-	var expected;
-	var lengths;
-	var offsets;
-	var input;
-	var ulps;
-	var off;
-	var w;
-	var y;
-	var e;
-	var N;
-	var i;
-	var k;
-	var r;
-
-	lengths = large.lengths;
-	offsets = large.offsets;
-	input = large.input;
-	expected = large.expected;
-
-	ulps = 800;
-	for ( k = 0; k < lengths.length; k++ ) {
-		N = lengths[ k ];
-		off = offsets[ k ];
-		r = new Float64Array( N );
-		for ( i = 0; i < N; i++ ) {
-			r[ i ] = input[ off+i ];
-		}
-		w = new Float64Array( ( 2*N ) + 34 );
-
-		rffti( N, w, 1, 0 );
-		rfftf( N, r, 1, 0, w, 1, 0 );
-
-		for ( i = 0; i < N; i++ ) {
-			y = r[ i ];
-			e = expected[ off+i ];
-			t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within tolerance. N: '+N+'. index: '+i+'. y: '+y+'. E: '+e+'.' );
-		}
-	}
-	t.end();
-});
-
-tape( 'the function leaves a length-one sequence unchanged', function test( t ) {
-	var out;
-	var N;
-	var w;
-	var r;
-
-	N = 1;
-	r = new Float64Array( [ 5.0 ] );
-	w = new Float64Array( ( 2*N ) + 34 );
-
-	rffti( N, w, 1, 0 );
-	out = rfftf( N, r, 1, 0, w, 1, 0 );
-	t.strictEqual( out, r, 'same reference' );
-	t.strictEqual( r[ 0 ], 5.0, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function supports specifying a stride', function test( t ) {
-	var expected;
-	var w;
-	var v;
-	var i;
-	var N;
-	var r;
-
-	N = 4;
-	r = new Float64Array([
-		1.0,   // 0
-		-999.0,
-		2.0,   // 1
-		-999.0,
-		3.0,   // 2
-		-999.0,
-		4.0,   // 3
-		-999.0
-	]);
-	expected = new Float64Array([
-		10.0,  // 0
-		-999.0,
-		-2.0,  // 1
-		-999.0,
-		2.0,   // 2
-		-999.0,
-		-2.0,  // 3
-		-999.0
-	]);
-
-	w = new Float64Array( ( ( 2*N ) + 34 ) * 2 );
-	rffti( N, w, 2, 0 );
-	rfftf( N, r, 2, 0, w, 2, 0 );
-
-	for ( i = 0; i < r.length; i++ ) {
-		v = r[ i ];
-		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'within tolerance. index: '+i+'. y: '+v+'. E: '+expected[ i ]+'.' );
-	}
-	t.end();
-});
-
-tape( 'the function supports specifying a negative stride', function test( t ) {
-	var expected;
-	var w;
-	var v;
-	var i;
-	var N;
-	var r;
-
-	N = 4;
-	r = new Float64Array([
-		4.0,   // 3
-		-999.0,
-		3.0,   // 2
-		-999.0,
-		2.0,   // 1
-		-999.0,
-		1.0    // 0
-	]);
-	expected = new Float64Array([
-		-2.0,  // 3
-		-999.0,
-		2.0,   // 2
-		-999.0,
-		-2.0,  // 1
-		-999.0,
-		10.0   // 0
-	]);
-
-	w = new Float64Array( ( 2*N ) + 34 );
-	rffti( N, w, -1, w.length-1 );
-	rfftf( N, r, -2, r.length-1, w, -1, w.length-1 );
-
-	for ( i = 0; i < r.length; i++ ) {
-		v = r[ i ];
-		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'within tolerance. index: '+i+'. y: '+v+'. E: '+expected[ i ]+'.' );
-	}
-	t.end();
-});
-
-tape( 'the function supports an offset parameter', function test( t ) {
-	var expected;
-	var w;
-	var v;
-	var i;
-	var N;
-	var r;
-
-	N = 4;
-	r = new Float64Array([
-		-999.0,
-		1.0,   // 0
-		-999.0,
-		2.0,   // 1
-		-999.0,
-		3.0,   // 2
-		-999.0,
-		4.0,   // 3
-		-999.0
-	]);
-	expected = new Float64Array([
-		-999.0,
-		10.0,  // 0
-		-999.0,
-		-2.0,  // 1
-		-999.0,
-		2.0,   // 2
-		-999.0,
-		-2.0,  // 3
-		-999.0
-	]);
-
-	w = new Float64Array( 3 + ( ( ( 2*N ) + 34 ) * 2 ) );
-	rffti( N, w, 2, 3 );
-	rfftf( N, r, 2, 1, w, 2, 3 );
-
-	for ( i = 0; i < r.length; i++ ) {
-		v = r[ i ];
-		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'within tolerance. index: '+i+'. y: '+v+'. E: '+expected[ i ]+'.' );
-	}
-	t.end();
-});

From 418cf946565056d3a9672027c905157be352bac6 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:44:45 +0530
Subject: [PATCH 31/32] feat: add `fft/base/fftpack/ndarray/generic/rffti`

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
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    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
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    status: na
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    status: passed
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    status: passed
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    status: passed
---
---
 .../fftpack/ndarray/generic/rffti/README.md   | 133 ++++++++
 .../generic/rffti/benchmark/benchmark.js      | 118 ++++++++
 .../ndarray/generic/rffti/docs/repl.txt       |  42 +++
 .../generic/rffti/docs/types/index.d.ts       |  73 +++++
 .../ndarray/generic/rffti/docs/types/test.ts  |  63 ++++
 .../ndarray/generic/rffti/examples/index.js   |  36 +++
 .../ndarray/generic/rffti/lib/index.js        |  60 ++++
 .../fftpack/ndarray/generic/rffti/lib/main.js |  83 +++++
 .../ndarray/generic/rffti/package.json        |  65 ++++
 .../ndarray/generic/rffti/test/test.js        | 283 ++++++++++++++++++
 10 files changed, 956 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/README.md
new file mode 100644
index 000000000000..89ad36ee51fb
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/README.md
@@ -0,0 +1,133 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# rffti
+
+> Initialize a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+```
+
+#### rffti( arrays )
+
+Initializes a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
+
+```javascript
+var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var Slice = require( '@stdlib/slice/ctor' );
+var slice = require( '@stdlib/ndarray/slice' );
+
+var N = 8;
+var len = scalar2ndarray( N, {
+    'dtype': 'int32'
+});
+
+var w = new Float64Vector( ( 2*N ) + 34 );
+
+var out = rffti( [ w, len ] );
+// returns <ndarray>
+
+var bool = ( out === w );
+// returns true
+
+var twiddleFactors = slice( w, new Slice( N, 2*N ) );
+// returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+
+var factors = slice( w, new Slice( 2*N, ( 2*N ) + 4 ) );
+// returns <ndarray>[ 8, 2, 2, 4 ]
+```
+
+The function has the following parameters:
+
+-   **arrays**: array-like object containing the following ndarrays:
+
+    -   a one-dimensional input ndarray.
+    -   a zero-dimensional ndarray containing the length of the sequence to transform.
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   If provided an empty one-dimensional input ndarray, the function returns the input ndarray unchanged.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+
+var N = 8;
+
+var w = new Float64Vector( ( 2*N ) + 34 );
+console.log( ndarray2array( w ) );
+
+var len = scalar2ndarray( N, {
+    'dtype': 'int32'
+});
+
+var out = rffti( [ w, len ] );
+console.log( ndarray2array( out ) );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/benchmark/benchmark.js
new file mode 100644
index 000000000000..52a4b3898e67
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/benchmark/benchmark.js
@@ -0,0 +1,118 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var rffti = require( './../lib' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'generic'
+};
+var nopts = {
+	'dtype': 'int32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var len;
+	var w;
+
+	len = scalar2ndarray( N, nopts );
+	w = zeros( [ ( 2*N ) + 34 ], options );
+
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var v;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			v = rffti( [ w, len ] );
+			if ( typeof v !== 'object' ) {
+				b.fail( 'should return an ndarray' );
+			}
+		}
+		b.toc();
+		if ( isnan( v.get( N ) ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		8,
+		16,
+		32,
+		64,
+		128,
+		256,
+		512,
+		1024
+	];
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( N );
+		bench( format( '%s:N=%d', pkg, N ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/repl.txt
new file mode 100644
index 000000000000..724c9340bfe3
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/repl.txt
@@ -0,0 +1,42 @@
+
+{{alias}}( arrays )
+    Initializes a workspace array for performing a real-valued Fourier transform
+    on a one-dimensional ndarray.
+
+    If provided an empty input ndarray, the function returns the input ndarray
+    unchanged.
+
+    Parameters
+    ----------
+    arrays: ArrayLikeObject<ndarray>
+        Array-like object containing the following ndarrays:
+
+        - a one-dimensional input ndarray.
+        - a zero-dimensional ndarray containing the length of the sequence to
+        transform.
+
+    Returns
+    -------
+    out: ndarray
+        Input ndarray.
+
+    Examples
+    --------
+    > var N = 8;
+    > var w = new {{alias:@stdlib/ndarray/vector/float64}}( ( 2*N ) + 34 );
+    > var opts = { 'dtype': 'int32' };
+    > var len = {{alias:@stdlib/ndarray/from-scalar}}( N, opts );
+    > var out = {{alias}}( [ w, len ] )
+    <ndarray>
+    > var bool = ( out === w )
+    true
+    > var s = new {{alias:@stdlib/slice/ctor}}( N, 2*N );
+    > var twiddleFactors = {{alias:@stdlib/ndarray/slice}}( w, s )
+    <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+    > s = new {{alias:@stdlib/slice/ctor}}( 2*N, ( 2*N ) + 4 );
+    > var factors = {{alias:@stdlib/ndarray/slice}}( w, s )
+    <ndarray>[ 8, 2, 2, 4 ]
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/types/index.d.ts
new file mode 100644
index 000000000000..56989f0ecde8
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/types/index.d.ts
@@ -0,0 +1,73 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { typedndarray, floatndarray, genericndarray } from '@stdlib/types/ndarray';
+
+/**
+* Input array.
+*/
+type InputArray = floatndarray | genericndarray<number>;
+
+/**
+* Initializes a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
+*
+* ## Notes
+*
+* -   The function expects the following ndarrays:
+*
+*     -   a one-dimensional input ndarray.
+*     -   a zero-dimensional ndarray containing the length of the sequence to transform.
+*
+* @param arrays - array-like object containing ndarrays
+* @returns input ndarray
+*
+* @example
+* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var Slice = require( '@stdlib/slice/ctor' );
+* var slice = require( '@stdlib/ndarray/slice' );
+*
+* var N = 8;
+* var len = scalar2ndarray( N, {
+*     'dtype': 'int32'
+* });
+*
+* var w = new Float64Vector( ( 2*N ) + 34 );
+*
+* var out = rffti( [ w, len ] );
+* // returns <ndarray>
+*
+* var bool = ( out === w );
+* // returns true
+*
+* var twiddleFactors = slice( w, new Slice( N, 2*N ) );
+* // returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = slice( w, new Slice( 2*N, ( 2*N ) + 4 ) );
+* // returns <ndarray>[ 8, 2, 2, 4 ]
+*/
+declare function rffti<T extends InputArray = InputArray>( arrays: [ T, typedndarray<number> ] ): T;
+
+
+// EXPORTS //
+
+export = rffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/types/test.ts
new file mode 100644
index 000000000000..97187a6bf704
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/docs/types/test.ts
@@ -0,0 +1,63 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable space-in-parens */
+
+import zeros = require( '@stdlib/ndarray/zeros' );
+import rffti = require( './index' );
+
+
+// TESTS //
+
+// The function returns an ndarray...
+{
+	const w = zeros( [ 10 ], {
+		'dtype': 'float64'
+	});
+	const N = zeros( [], {
+		'dtype': 'int32'
+	});
+
+	rffti( [ w, N ] ); // $ExpectType float64ndarray
+}
+
+// The compiler throws an error if the function is provided a first argument which is not an array of ndarrays...
+{
+	rffti( '10' ); // $ExpectError
+	rffti( 10 ); // $ExpectError
+	rffti( true ); // $ExpectError
+	rffti( false ); // $ExpectError
+	rffti( null ); // $ExpectError
+	rffti( undefined ); // $ExpectError
+	rffti( [] ); // $ExpectError
+	rffti( {} ); // $ExpectError
+	rffti( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const w = zeros( [ 10 ], {
+		'dtype': 'float64'
+	});
+	const N = zeros( [], {
+		'dtype': 'int32'
+	});
+
+	rffti(); // $ExpectError
+	rffti( [ w, N ], {} ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/examples/index.js
new file mode 100644
index 000000000000..4b802e6c1c12
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/examples/index.js
@@ -0,0 +1,36 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var rffti = require( './../lib' );
+
+var N = 8;
+
+var w = new Float64Vector( ( 2*N ) + 34 );
+console.log( ndarray2array( w ) );
+
+var len = scalar2ndarray( N, {
+	'dtype': 'int32'
+});
+
+var out = rffti( [ w, len ] );
+console.log( ndarray2array( out ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/lib/index.js
new file mode 100644
index 000000000000..aa1936c5d704
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/lib/index.js
@@ -0,0 +1,60 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Initialize a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
+*
+* @module @stdlib/fft/base/fftpack/ndarray/generic/rffti
+*
+* @example
+* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var Slice = require( '@stdlib/slice/ctor' );
+* var slice = require( '@stdlib/ndarray/slice' );
+* var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+*
+* var N = 8;
+* var len = scalar2ndarray( N, {
+*     'dtype': 'int32'
+* });
+*
+* var w = new Float64Vector( ( 2*N ) + 34 );
+*
+* var out = rffti( [ w, len ] );
+* // returns <ndarray>
+*
+* var bool = ( out === w );
+* // returns true
+*
+* var twiddleFactors = slice( w, new Slice( N, 2*N ) );
+* // returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = slice( w, new Slice( 2*N, ( 2*N ) + 4 ) );
+* // returns <ndarray>[ 8, 2, 2, 4 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/lib/main.js
new file mode 100644
index 000000000000..3826d518e4b3
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/lib/main.js
@@ -0,0 +1,83 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var getStride = require( '@stdlib/ndarray/base/stride' );
+var getOffset = require( '@stdlib/ndarray/base/offset' );
+var getData = require( '@stdlib/ndarray/base/data-buffer' );
+var strided = require( '@stdlib/fft/base/fftpack/generic/rffti' );
+var ndarraylike2scalar = require( '@stdlib/ndarray/base/ndarraylike2scalar' );
+
+
+// MAIN //
+
+/**
+* Initializes a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
+*
+* ## Notes
+*
+* -   The function expects the following ndarrays:
+*
+*     -   a one-dimensional input ndarray.
+*     -   a zero-dimensional ndarray containing the length of the sequence to transform.
+*
+* @param {ArrayLikeObject<Object>} arrays - array-like object containing ndarrays
+* @returns {ndarrayLike} input ndarray
+*
+* @example
+* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var Slice = require( '@stdlib/slice/ctor' );
+* var slice = require( '@stdlib/ndarray/slice' );
+*
+* var N = 8;
+* var len = scalar2ndarray( N, {
+*     'dtype': 'int32'
+* });
+*
+* var w = new Float64Vector( ( 2*N ) + 34 );
+*
+* var out = rffti( [ w, len ] );
+* // returns <ndarray>
+*
+* var bool = ( out === w );
+* // returns true
+*
+* var twiddleFactors = slice( w, new Slice( N, 2*N ) );
+* // returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = slice( w, new Slice( 2*N, ( 2*N ) + 4 ) );
+* // returns <ndarray>[ 8, 2, 2, 4 ]
+*/
+function rffti( arrays ) {
+	var w;
+	var N;
+
+	w = arrays[ 0 ];
+	N = ndarraylike2scalar( arrays[ 1 ] );
+	strided( N, getData( w ), getStride( w, 0 ), getOffset( w ) );
+	return w;
+}
+
+
+// EXPORTS //
+
+module.exports = rffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/package.json
new file mode 100644
index 000000000000..012776b2ffa7
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/package.json
@@ -0,0 +1,65 @@
+{
+  "name": "@stdlib/fft/base/fftpack/ndarray/generic/rffti",
+  "version": "0.0.0",
+  "description": "Initialize a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "fft",
+    "fftpack",
+    "rffti",
+    "fourier",
+    "transform",
+    "twiddle",
+    "workspace",
+    "initialization",
+    "real",
+    "ndarray"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/test/test.js
new file mode 100644
index 000000000000..0c9598113622
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rffti/test/test.js
@@ -0,0 +1,283 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len */
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isSameFloat64Array = require( '@stdlib/assert/is-same-float64array' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
+var Float64Array = require( '@stdlib/array/float64' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray = require( '@stdlib/ndarray/base/ctor' );
+var getData = require( '@stdlib/ndarray/data-buffer' );
+var rffti = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Returns a one-dimensional ndarray.
+*
+* @private
+* @param {Collection} buffer - underlying data buffer
+* @param {NonNegativeInteger} length - number of indexed elements
+* @param {integer} stride - stride length
+* @param {NonNegativeInteger} offset - index offset
+* @returns {ndarray} one-dimensional ndarray
+*/
+function vector( buffer, length, stride, offset ) {
+	return new ndarray( 'float64', buffer, [ length ], [ stride ], offset, 'row-major' );
+}
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof rffti, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 1', function test( t ) {
+	t.strictEqual( rffti.length, 1, 'has expected arity' );
+	t.end();
+});
+
+tape( 'the function correctly initializes twiddle and integer factors in a one-dimensional ndarray `w`', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var wBuf;
+	var ulps;
+	var len;
+	var N;
+	var w;
+	var v;
+	var i;
+	var y;
+	var e;
+
+	N = 8;
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+	wBuf = new Float64Array( ( 2*N ) + 34 );
+	w = vector( wBuf, ( 2*N ) + 34, 1, 0 );
+	v = rffti( [ w, len ] );
+	t.strictEqual( v, w, 'returns expected value' );
+
+	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
+
+	ulps = 1;
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = wBuf[ N+i ];
+		e = expectedTwiddles[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		y = wBuf[ ( 2*N ) + i ];
+		e = expectedFactors[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < N; i++ ) {
+		y = wBuf[ i ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+
+	t.end();
+});
+
+tape( 'if provided an empty ndarray, the function returns the input ndarray unchanged', function test( t ) {
+	var expected;
+	var wBuf;
+	var len;
+	var w;
+	var N;
+	var v;
+
+	N = 4;
+	wBuf = new Float64Array( [] );
+	w = vector( wBuf, 0, 1, 0 );
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+
+	v = rffti( [ w, len ] );
+
+	expected = new Float64Array( [] );
+	t.strictEqual( v, w, 'returns expected value' );
+	t.strictEqual( isSameFloat64Array( getData( v ), expected ), true, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'the function supports a one-dimensional ndarray having a non-unit stride', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var wBuf;
+	var ulps;
+	var len;
+	var w;
+	var y;
+	var e;
+	var i;
+	var N;
+	var v;
+
+	N = 8;
+	wBuf = new Float64Array( ( 4*N ) + 68 );
+	w = vector( wBuf, ( 2*N ) + 34, 2, 0 );
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+
+	v = rffti( [ w, len ] );
+
+	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
+
+	t.strictEqual( v, w, 'returns expected value' );
+
+	ulps = 1;
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = wBuf[ ( 2*N ) + ( 2*i ) ];
+		e = expectedTwiddles[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		y = wBuf[ ( 4*N ) + ( 2*i ) ];
+		e = expectedFactors[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < N; i++ ) {
+		y = wBuf[ 2*i ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+
+		y = wBuf[ ( 2*N ) + ( 2*i ) + 1 ];
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+
+	t.end();
+});
+
+tape( 'the function supports a one-dimensional ndarray having a negative stride', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var wBuf;
+	var ulps;
+	var len;
+	var w;
+	var v;
+	var y;
+	var e;
+	var i;
+	var N;
+
+	N = 8;
+	wBuf = new Float64Array( ( 2*N ) + 34 );
+	w = vector( wBuf, ( 2*N ) + 34, -1, ( 2*N ) + 33 );
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+
+	v = rffti( [ w, len ] );
+	t.strictEqual( v, w, 'returns expected value' );
+
+	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
+
+	ulps = 1;
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = wBuf[ N+33-i ];
+		e = expectedTwiddles[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		y = wBuf[ 33-i ];
+		e = expectedFactors[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < N; i++ ) {
+		y = wBuf[ ( 2*N ) + 33 - i ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+
+	t.end();
+});
+
+tape( 'the function supports a one-dimensional ndarray having a non-zero offset', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var wBuf;
+	var ulps;
+	var len;
+	var w;
+	var v;
+	var y;
+	var e;
+	var i;
+	var N;
+
+	N = 8;
+	wBuf = new Float64Array( ( 2*N ) + 34 + 2 );
+	w = vector( wBuf, ( 2*N ) + 34, 1, 2 );
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+
+	v = rffti( [ w, len ] );
+
+	t.strictEqual( v, w, 'returns expected value' );
+
+	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
+
+	ulps = 1;
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = wBuf[ N+i+2 ];
+		e = expectedTwiddles[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		y = wBuf[ ( 2*N ) + i + 2 ];
+		e = expectedFactors[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < N; i++ ) {
+		y = wBuf[ i+2 ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+
+	t.end();
+});

From 52e6ea0ed1e048f6a94632952218b2f847037b98 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 18 Aug 2026 13:45:34 +0530
Subject: [PATCH 32/32] remove: remove `fft/base/fftpack/ndarray/rffti`

This commit removes `@stdlib/fft/base/fftpack/ndarray/rffti` in favor of
`@stdlib/fft/base/fftpack/ndarray/generic/rffti`.

BREAKING CHANGE: remove `fft/base/fftpack/ndarray/rffti`

To migrate, users should update their require/import paths to use
`@stdlib/fft/base/fftpack/ndarray/generic/rffti` which provides the same API and implementation.

Ref: https://github.com/stdlib-js/metr-issue-tracker/issues/1165

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
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    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
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    status: na
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    status: na
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    status: na
  - task: lint_javascript_cli
    status: na
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    status: na
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    status: na
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    status: na
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    status: passed
---
---
 .../fft/base/fftpack/ndarray/rffti/README.md  | 133 --------
 .../ndarray/rffti/benchmark/benchmark.js      | 118 --------
 .../base/fftpack/ndarray/rffti/docs/repl.txt  |  42 ---
 .../ndarray/rffti/docs/types/index.d.ts       |  73 -----
 .../fftpack/ndarray/rffti/docs/types/test.ts  |  63 ----
 .../fftpack/ndarray/rffti/examples/index.js   |  36 ---
 .../base/fftpack/ndarray/rffti/lib/index.js   |  60 ----
 .../base/fftpack/ndarray/rffti/lib/main.js    |  83 -----
 .../base/fftpack/ndarray/rffti/package.json   |  65 ----
 .../base/fftpack/ndarray/rffti/test/test.js   | 283 ------------------
 10 files changed, 956 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/README.md
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/benchmark/benchmark.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/repl.txt
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/types/index.d.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/types/test.ts
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/examples/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/index.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/main.js
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/package.json
 delete mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/README.md
deleted file mode 100644
index d2f444887392..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/README.md
+++ /dev/null
@@ -1,133 +0,0 @@
-<!--
-
-@license Apache-2.0
-
-Copyright (c) 2026 The Stdlib Authors.
-
-Licensed under the Apache License, Version 2.0 (the "License");
-you may not use this file except in compliance with the License.
-You may obtain a copy of the License at
-
-   http://www.apache.org/licenses/LICENSE-2.0
-
-Unless required by applicable law or agreed to in writing, software
-distributed under the License is distributed on an "AS IS" BASIS,
-WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-See the License for the specific language governing permissions and
-limitations under the License.
-
--->
-
-# rffti
-
-> Initialize a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
-
-<section class="intro">
-
-</section>
-
-<!-- /.intro -->
-
-<section class="usage">
-
-## Usage
-
-```javascript
-var rffti = require( '@stdlib/fft/base/fftpack/ndarray/rffti' );
-```
-
-#### rffti( arrays )
-
-Initializes a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
-
-```javascript
-var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
-var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
-var Slice = require( '@stdlib/slice/ctor' );
-var slice = require( '@stdlib/ndarray/slice' );
-
-var N = 8;
-var len = scalar2ndarray( N, {
-    'dtype': 'int32'
-});
-
-var w = new Float64Vector( ( 2*N ) + 34 );
-
-var out = rffti( [ w, len ] );
-// returns <ndarray>
-
-var bool = ( out === w );
-// returns true
-
-var twiddleFactors = slice( w, new Slice( N, 2*N ) );
-// returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-
-var factors = slice( w, new Slice( 2*N, ( 2*N ) + 4 ) );
-// returns <ndarray>[ 8, 2, 2, 4 ]
-```
-
-The function has the following parameters:
-
--   **arrays**: array-like object containing the following ndarrays:
-
-    -   a one-dimensional input ndarray.
-    -   a zero-dimensional ndarray containing the length of the sequence to transform.
-
-</section>
-
-<!-- /.usage -->
-
-<section class="notes">
-
-## Notes
-
--   If provided an empty one-dimensional input ndarray, the function returns the input ndarray unchanged.
-
-</section>
-
-<!-- /.notes -->
-
-<section class="examples">
-
-## Examples
-
-<!-- eslint no-undef: "error" -->
-
-```javascript
-var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
-var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
-var ndarray2array = require( '@stdlib/ndarray/to-array' );
-var rffti = require( '@stdlib/fft/base/fftpack/ndarray/rffti' );
-
-var N = 8;
-
-var w = new Float64Vector( ( 2*N ) + 34 );
-console.log( ndarray2array( w ) );
-
-var len = scalar2ndarray( N, {
-    'dtype': 'int32'
-});
-
-var out = rffti( [ w, len ] );
-console.log( ndarray2array( out ) );
-```
-
-</section>
-
-<!-- /.examples -->
-
-<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
-
-<section class="related">
-
-</section>
-
-<!-- /.related -->
-
-<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
-
-<section class="links">
-
-</section>
-
-<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/benchmark/benchmark.js
deleted file mode 100644
index 52a4b3898e67..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/benchmark/benchmark.js
+++ /dev/null
@@ -1,118 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var bench = require( '@stdlib/bench' );
-var zeros = require( '@stdlib/ndarray/zeros' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
-var format = require( '@stdlib/string/format' );
-var pkg = require( './../package.json' ).name;
-var rffti = require( './../lib' );
-
-
-// VARIABLES //
-
-var options = {
-	'dtype': 'generic'
-};
-var nopts = {
-	'dtype': 'int32'
-};
-
-
-// FUNCTIONS //
-
-/**
-* Creates a benchmark function.
-*
-* @private
-* @param {PositiveInteger} N - sequence length
-* @returns {Function} benchmark function
-*/
-function createBenchmark( N ) {
-	var len;
-	var w;
-
-	len = scalar2ndarray( N, nopts );
-	w = zeros( [ ( 2*N ) + 34 ], options );
-
-	return benchmark;
-
-	/**
-	* Benchmark function.
-	*
-	* @private
-	* @param {Benchmark} b - benchmark instance
-	*/
-	function benchmark( b ) {
-		var v;
-		var i;
-
-		b.tic();
-		for ( i = 0; i < b.iterations; i++ ) {
-			v = rffti( [ w, len ] );
-			if ( typeof v !== 'object' ) {
-				b.fail( 'should return an ndarray' );
-			}
-		}
-		b.toc();
-		if ( isnan( v.get( N ) ) ) {
-			b.fail( 'should not return NaN' );
-		}
-		b.pass( 'benchmark finished' );
-		b.end();
-	}
-}
-
-
-// MAIN //
-
-/**
-* Main execution sequence.
-*
-* @private
-*/
-function main() {
-	var lengths;
-	var N;
-	var f;
-	var i;
-
-	lengths = [
-		8,
-		16,
-		32,
-		64,
-		128,
-		256,
-		512,
-		1024
-	];
-
-	for ( i = 0; i < lengths.length; i++ ) {
-		N = lengths[ i ];
-		f = createBenchmark( N );
-		bench( format( '%s:N=%d', pkg, N ), f );
-	}
-}
-
-main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/repl.txt
deleted file mode 100644
index 724c9340bfe3..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/repl.txt
+++ /dev/null
@@ -1,42 +0,0 @@
-
-{{alias}}( arrays )
-    Initializes a workspace array for performing a real-valued Fourier transform
-    on a one-dimensional ndarray.
-
-    If provided an empty input ndarray, the function returns the input ndarray
-    unchanged.
-
-    Parameters
-    ----------
-    arrays: ArrayLikeObject<ndarray>
-        Array-like object containing the following ndarrays:
-
-        - a one-dimensional input ndarray.
-        - a zero-dimensional ndarray containing the length of the sequence to
-        transform.
-
-    Returns
-    -------
-    out: ndarray
-        Input ndarray.
-
-    Examples
-    --------
-    > var N = 8;
-    > var w = new {{alias:@stdlib/ndarray/vector/float64}}( ( 2*N ) + 34 );
-    > var opts = { 'dtype': 'int32' };
-    > var len = {{alias:@stdlib/ndarray/from-scalar}}( N, opts );
-    > var out = {{alias}}( [ w, len ] )
-    <ndarray>
-    > var bool = ( out === w )
-    true
-    > var s = new {{alias:@stdlib/slice/ctor}}( N, 2*N );
-    > var twiddleFactors = {{alias:@stdlib/ndarray/slice}}( w, s )
-    <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-    > s = new {{alias:@stdlib/slice/ctor}}( 2*N, ( 2*N ) + 4 );
-    > var factors = {{alias:@stdlib/ndarray/slice}}( w, s )
-    <ndarray>[ 8, 2, 2, 4 ]
-
-    See Also
-    --------
-
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/types/index.d.ts
deleted file mode 100644
index 56989f0ecde8..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/types/index.d.ts
+++ /dev/null
@@ -1,73 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-// TypeScript Version: 4.1
-
-/// <reference types="@stdlib/types"/>
-
-import { typedndarray, floatndarray, genericndarray } from '@stdlib/types/ndarray';
-
-/**
-* Input array.
-*/
-type InputArray = floatndarray | genericndarray<number>;
-
-/**
-* Initializes a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
-*
-* ## Notes
-*
-* -   The function expects the following ndarrays:
-*
-*     -   a one-dimensional input ndarray.
-*     -   a zero-dimensional ndarray containing the length of the sequence to transform.
-*
-* @param arrays - array-like object containing ndarrays
-* @returns input ndarray
-*
-* @example
-* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
-* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
-* var Slice = require( '@stdlib/slice/ctor' );
-* var slice = require( '@stdlib/ndarray/slice' );
-*
-* var N = 8;
-* var len = scalar2ndarray( N, {
-*     'dtype': 'int32'
-* });
-*
-* var w = new Float64Vector( ( 2*N ) + 34 );
-*
-* var out = rffti( [ w, len ] );
-* // returns <ndarray>
-*
-* var bool = ( out === w );
-* // returns true
-*
-* var twiddleFactors = slice( w, new Slice( N, 2*N ) );
-* // returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = slice( w, new Slice( 2*N, ( 2*N ) + 4 ) );
-* // returns <ndarray>[ 8, 2, 2, 4 ]
-*/
-declare function rffti<T extends InputArray = InputArray>( arrays: [ T, typedndarray<number> ] ): T;
-
-
-// EXPORTS //
-
-export = rffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/types/test.ts
deleted file mode 100644
index 97187a6bf704..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/docs/types/test.ts
+++ /dev/null
@@ -1,63 +0,0 @@
-/*
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-/* eslint-disable space-in-parens */
-
-import zeros = require( '@stdlib/ndarray/zeros' );
-import rffti = require( './index' );
-
-
-// TESTS //
-
-// The function returns an ndarray...
-{
-	const w = zeros( [ 10 ], {
-		'dtype': 'float64'
-	});
-	const N = zeros( [], {
-		'dtype': 'int32'
-	});
-
-	rffti( [ w, N ] ); // $ExpectType float64ndarray
-}
-
-// The compiler throws an error if the function is provided a first argument which is not an array of ndarrays...
-{
-	rffti( '10' ); // $ExpectError
-	rffti( 10 ); // $ExpectError
-	rffti( true ); // $ExpectError
-	rffti( false ); // $ExpectError
-	rffti( null ); // $ExpectError
-	rffti( undefined ); // $ExpectError
-	rffti( [] ); // $ExpectError
-	rffti( {} ); // $ExpectError
-	rffti( ( x: number ): number => x ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided an unsupported number of arguments...
-{
-	const w = zeros( [ 10 ], {
-		'dtype': 'float64'
-	});
-	const N = zeros( [], {
-		'dtype': 'int32'
-	});
-
-	rffti(); // $ExpectError
-	rffti( [ w, N ], {} ); // $ExpectError
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/examples/index.js
deleted file mode 100644
index 4b802e6c1c12..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/examples/index.js
+++ /dev/null
@@ -1,36 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
-var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
-var ndarray2array = require( '@stdlib/ndarray/to-array' );
-var rffti = require( './../lib' );
-
-var N = 8;
-
-var w = new Float64Vector( ( 2*N ) + 34 );
-console.log( ndarray2array( w ) );
-
-var len = scalar2ndarray( N, {
-	'dtype': 'int32'
-});
-
-var out = rffti( [ w, len ] );
-console.log( ndarray2array( out ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/index.js
deleted file mode 100644
index d6b1fe501bc0..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/index.js
+++ /dev/null
@@ -1,60 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-/**
-* Initialize a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
-*
-* @module @stdlib/fft/base/fftpack/ndarray/rffti
-*
-* @example
-* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
-* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
-* var Slice = require( '@stdlib/slice/ctor' );
-* var slice = require( '@stdlib/ndarray/slice' );
-* var rffti = require( '@stdlib/fft/base/fftpack/ndarray/rffti' );
-*
-* var N = 8;
-* var len = scalar2ndarray( N, {
-*     'dtype': 'int32'
-* });
-*
-* var w = new Float64Vector( ( 2*N ) + 34 );
-*
-* var out = rffti( [ w, len ] );
-* // returns <ndarray>
-*
-* var bool = ( out === w );
-* // returns true
-*
-* var twiddleFactors = slice( w, new Slice( N, 2*N ) );
-* // returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = slice( w, new Slice( 2*N, ( 2*N ) + 4 ) );
-* // returns <ndarray>[ 8, 2, 2, 4 ]
-*/
-
-// MODULES //
-
-var main = require( './main.js' );
-
-
-// EXPORTS //
-
-module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/main.js
deleted file mode 100644
index 3826d518e4b3..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/lib/main.js
+++ /dev/null
@@ -1,83 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-'use strict';
-
-// MODULES //
-
-var getStride = require( '@stdlib/ndarray/base/stride' );
-var getOffset = require( '@stdlib/ndarray/base/offset' );
-var getData = require( '@stdlib/ndarray/base/data-buffer' );
-var strided = require( '@stdlib/fft/base/fftpack/generic/rffti' );
-var ndarraylike2scalar = require( '@stdlib/ndarray/base/ndarraylike2scalar' );
-
-
-// MAIN //
-
-/**
-* Initializes a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.
-*
-* ## Notes
-*
-* -   The function expects the following ndarrays:
-*
-*     -   a one-dimensional input ndarray.
-*     -   a zero-dimensional ndarray containing the length of the sequence to transform.
-*
-* @param {ArrayLikeObject<Object>} arrays - array-like object containing ndarrays
-* @returns {ndarrayLike} input ndarray
-*
-* @example
-* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
-* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
-* var Slice = require( '@stdlib/slice/ctor' );
-* var slice = require( '@stdlib/ndarray/slice' );
-*
-* var N = 8;
-* var len = scalar2ndarray( N, {
-*     'dtype': 'int32'
-* });
-*
-* var w = new Float64Vector( ( 2*N ) + 34 );
-*
-* var out = rffti( [ w, len ] );
-* // returns <ndarray>
-*
-* var bool = ( out === w );
-* // returns true
-*
-* var twiddleFactors = slice( w, new Slice( N, 2*N ) );
-* // returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
-*
-* var factors = slice( w, new Slice( 2*N, ( 2*N ) + 4 ) );
-* // returns <ndarray>[ 8, 2, 2, 4 ]
-*/
-function rffti( arrays ) {
-	var w;
-	var N;
-
-	w = arrays[ 0 ];
-	N = ndarraylike2scalar( arrays[ 1 ] );
-	strided( N, getData( w ), getStride( w, 0 ), getOffset( w ) );
-	return w;
-}
-
-
-// EXPORTS //
-
-module.exports = rffti;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/package.json
deleted file mode 100644
index 4a473186e063..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/package.json
+++ /dev/null
@@ -1,65 +0,0 @@
-{
-  "name": "@stdlib/fft/base/fftpack/ndarray/rffti",
-  "version": "0.0.0",
-  "description": "Initialize a workspace array for performing a real-valued Fourier transform on a one-dimensional ndarray.",
-  "license": "Apache-2.0",
-  "author": {
-    "name": "The Stdlib Authors",
-    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-  },
-  "contributors": [
-    {
-      "name": "The Stdlib Authors",
-      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
-    }
-  ],
-  "main": "./lib",
-  "directories": {
-    "benchmark": "./benchmark",
-    "doc": "./docs",
-    "example": "./examples",
-    "lib": "./lib",
-    "test": "./test"
-  },
-  "types": "./docs/types",
-  "scripts": {},
-  "homepage": "https://github.com/stdlib-js/stdlib",
-  "repository": {
-    "type": "git",
-    "url": "git://github.com/stdlib-js/stdlib.git"
-  },
-  "bugs": {
-    "url": "https://github.com/stdlib-js/stdlib/issues"
-  },
-  "dependencies": {},
-  "devDependencies": {},
-  "engines": {
-    "node": ">=0.10.0",
-    "npm": ">2.7.0"
-  },
-  "os": [
-    "aix",
-    "darwin",
-    "freebsd",
-    "linux",
-    "macos",
-    "openbsd",
-    "sunos",
-    "win32",
-    "windows"
-  ],
-  "keywords": [
-    "stdlib",
-    "fft",
-    "fftpack",
-    "rffti",
-    "fourier",
-    "transform",
-    "twiddle",
-    "workspace",
-    "initialization",
-    "real",
-    "ndarray"
-  ],
-  "__stdlib__": {}
-}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/test/test.js
deleted file mode 100644
index 0c9598113622..000000000000
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/rffti/test/test.js
+++ /dev/null
@@ -1,283 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2026 The Stdlib Authors.
-*
-* Licensed under the Apache License, Version 2.0 (the "License");
-* you may not use this file except in compliance with the License.
-* You may obtain a copy of the License at
-*
-*    http://www.apache.org/licenses/LICENSE-2.0
-*
-* Unless required by applicable law or agreed to in writing, software
-* distributed under the License is distributed on an "AS IS" BASIS,
-* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-* See the License for the specific language governing permissions and
-* limitations under the License.
-*/
-
-/* eslint-disable max-len */
-
-'use strict';
-
-// MODULES //
-
-var tape = require( 'tape' );
-var isSameFloat64Array = require( '@stdlib/assert/is-same-float64array' );
-var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
-var Float64Array = require( '@stdlib/array/float64' );
-var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
-var ndarray = require( '@stdlib/ndarray/base/ctor' );
-var getData = require( '@stdlib/ndarray/data-buffer' );
-var rffti = require( './../lib' );
-
-
-// FUNCTIONS //
-
-/**
-* Returns a one-dimensional ndarray.
-*
-* @private
-* @param {Collection} buffer - underlying data buffer
-* @param {NonNegativeInteger} length - number of indexed elements
-* @param {integer} stride - stride length
-* @param {NonNegativeInteger} offset - index offset
-* @returns {ndarray} one-dimensional ndarray
-*/
-function vector( buffer, length, stride, offset ) {
-	return new ndarray( 'float64', buffer, [ length ], [ stride ], offset, 'row-major' );
-}
-
-
-// TESTS //
-
-tape( 'main export is a function', function test( t ) {
-	t.ok( true, __filename );
-	t.strictEqual( typeof rffti, 'function', 'main export is a function' );
-	t.end();
-});
-
-tape( 'the function has an arity of 1', function test( t ) {
-	t.strictEqual( rffti.length, 1, 'has expected arity' );
-	t.end();
-});
-
-tape( 'the function correctly initializes twiddle and integer factors in a one-dimensional ndarray `w`', function test( t ) {
-	var expectedTwiddles;
-	var expectedFactors;
-	var wBuf;
-	var ulps;
-	var len;
-	var N;
-	var w;
-	var v;
-	var i;
-	var y;
-	var e;
-
-	N = 8;
-	len = scalar2ndarray( N, {
-		'dtype': 'int32'
-	});
-	wBuf = new Float64Array( ( 2*N ) + 34 );
-	w = vector( wBuf, ( 2*N ) + 34, 1, 0 );
-	v = rffti( [ w, len ] );
-	t.strictEqual( v, w, 'returns expected value' );
-
-	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
-	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
-
-	ulps = 1;
-	for ( i = 0; i < expectedTwiddles.length; i++ ) {
-		y = wBuf[ N+i ];
-		e = expectedTwiddles[ i ];
-		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
-	}
-
-	for ( i = 0; i < expectedFactors.length; i++ ) {
-		y = wBuf[ ( 2*N ) + i ];
-		e = expectedFactors[ i ];
-		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
-	}
-
-	for ( i = 0; i < N; i++ ) {
-		y = wBuf[ i ];
-		e = 0.0;
-		t.strictEqual( y, e, 'returns expected value' );
-	}
-
-	t.end();
-});
-
-tape( 'if provided an empty ndarray, the function returns the input ndarray unchanged', function test( t ) {
-	var expected;
-	var wBuf;
-	var len;
-	var w;
-	var N;
-	var v;
-
-	N = 4;
-	wBuf = new Float64Array( [] );
-	w = vector( wBuf, 0, 1, 0 );
-	len = scalar2ndarray( N, {
-		'dtype': 'int32'
-	});
-
-	v = rffti( [ w, len ] );
-
-	expected = new Float64Array( [] );
-	t.strictEqual( v, w, 'returns expected value' );
-	t.strictEqual( isSameFloat64Array( getData( v ), expected ), true, 'returns expected value' );
-
-	t.end();
-});
-
-tape( 'the function supports a one-dimensional ndarray having a non-unit stride', function test( t ) {
-	var expectedTwiddles;
-	var expectedFactors;
-	var wBuf;
-	var ulps;
-	var len;
-	var w;
-	var y;
-	var e;
-	var i;
-	var N;
-	var v;
-
-	N = 8;
-	wBuf = new Float64Array( ( 4*N ) + 68 );
-	w = vector( wBuf, ( 2*N ) + 34, 2, 0 );
-	len = scalar2ndarray( N, {
-		'dtype': 'int32'
-	});
-
-	v = rffti( [ w, len ] );
-
-	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
-	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
-
-	t.strictEqual( v, w, 'returns expected value' );
-
-	ulps = 1;
-	for ( i = 0; i < expectedTwiddles.length; i++ ) {
-		y = wBuf[ ( 2*N ) + ( 2*i ) ];
-		e = expectedTwiddles[ i ];
-		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
-	}
-
-	for ( i = 0; i < expectedFactors.length; i++ ) {
-		y = wBuf[ ( 4*N ) + ( 2*i ) ];
-		e = expectedFactors[ i ];
-		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
-	}
-
-	for ( i = 0; i < N; i++ ) {
-		y = wBuf[ 2*i ];
-		e = 0.0;
-		t.strictEqual( y, e, 'returns expected value' );
-
-		y = wBuf[ ( 2*N ) + ( 2*i ) + 1 ];
-		t.strictEqual( y, e, 'returns expected value' );
-	}
-
-	t.end();
-});
-
-tape( 'the function supports a one-dimensional ndarray having a negative stride', function test( t ) {
-	var expectedTwiddles;
-	var expectedFactors;
-	var wBuf;
-	var ulps;
-	var len;
-	var w;
-	var v;
-	var y;
-	var e;
-	var i;
-	var N;
-
-	N = 8;
-	wBuf = new Float64Array( ( 2*N ) + 34 );
-	w = vector( wBuf, ( 2*N ) + 34, -1, ( 2*N ) + 33 );
-	len = scalar2ndarray( N, {
-		'dtype': 'int32'
-	});
-
-	v = rffti( [ w, len ] );
-	t.strictEqual( v, w, 'returns expected value' );
-
-	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
-	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
-
-	ulps = 1;
-	for ( i = 0; i < expectedTwiddles.length; i++ ) {
-		y = wBuf[ N+33-i ];
-		e = expectedTwiddles[ i ];
-		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
-	}
-
-	for ( i = 0; i < expectedFactors.length; i++ ) {
-		y = wBuf[ 33-i ];
-		e = expectedFactors[ i ];
-		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
-	}
-
-	for ( i = 0; i < N; i++ ) {
-		y = wBuf[ ( 2*N ) + 33 - i ];
-		e = 0.0;
-		t.strictEqual( y, e, 'returns expected value' );
-	}
-
-	t.end();
-});
-
-tape( 'the function supports a one-dimensional ndarray having a non-zero offset', function test( t ) {
-	var expectedTwiddles;
-	var expectedFactors;
-	var wBuf;
-	var ulps;
-	var len;
-	var w;
-	var v;
-	var y;
-	var e;
-	var i;
-	var N;
-
-	N = 8;
-	wBuf = new Float64Array( ( 2*N ) + 34 + 2 );
-	w = vector( wBuf, ( 2*N ) + 34, 1, 2 );
-	len = scalar2ndarray( N, {
-		'dtype': 'int32'
-	});
-
-	v = rffti( [ w, len ] );
-
-	t.strictEqual( v, w, 'returns expected value' );
-
-	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
-	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
-
-	ulps = 1;
-	for ( i = 0; i < expectedTwiddles.length; i++ ) {
-		y = wBuf[ N+i+2 ];
-		e = expectedTwiddles[ i ];
-		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
-	}
-
-	for ( i = 0; i < expectedFactors.length; i++ ) {
-		y = wBuf[ ( 2*N ) + i + 2 ];
-		e = expectedFactors[ i ];
-		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
-	}
-
-	for ( i = 0; i < N; i++ ) {
-		y = wBuf[ i+2 ];
-		e = 0.0;
-		t.strictEqual( y, e, 'returns expected value' );
-	}
-
-	t.end();
-});