diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/README.md b/lib/node_modules/@stdlib/lapack/base/dlaqsp/README.md
new file mode 100644
index 000000000000..df8fca12a790
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/README.md
@@ -0,0 +1,245 @@
+
+
+# dlaqsp
+
+> Equilibrate a real symmetric matrix stored in packed format.
+
+
+
+Given a vector of scaling factors `S`, the routine equilibrates a real symmetric matrix `A` stored in packed format such that
+
+
+
+```math
+A = \text{diag}(S) \times A \times \text{diag}(S)
+```
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var dlaqsp = require( '@stdlib/lapack/base/dlaqsp' );
+```
+
+#### dlaqsp( order, uplo, N, AP, S, scond, amax )
+
+Equilibrates a real symmetric matrix `A` stored in packed format using scaling factors `S`.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+var out = dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0 );
+// AP => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+// out => 'Y'
+```
+
+The function has the following parameters:
+
+- **order**: storage layout (either `'row-major'` or `'column-major'`).
+- **uplo**: specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied (either `'upper'` or `'lower'`).
+- **N**: order of matrix `A`.
+- **AP**: packed form of symmetric matrix `A` as a [`Float64Array`][mdn-float64array].
+- **S**: scale factors vector for `A` as a [`Float64Array`][mdn-float64array].
+- **scond**: ratio of the smallest `S[i]` to the largest `S[i]`.
+- **amax**: absolute value of the largest matrix entry.
+
+Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+// Initial arrays:
+var AP0 = new Float64Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var S0 = new Float64Array( [ 0.0, 0.05, 2.0, 4.0 ] );
+
+// Create offset views:
+var AP1 = new Float64Array( AP0.buffer, AP0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var S1 = new Float64Array( S0.buffer, S0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+var out = dlaqsp( 'column-major', 'upper', 3, AP1, S1, 0.0125, 6.0 );
+// AP1 => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+// out => 'Y'
+```
+
+
+
+#### dlaqsp.ndarray( order, uplo, N, AP, strideAP, offsetAP, S, strideS, offsetS, scond, amax )
+
+
+
+Equilibrates a real symmetric matrix `A` stored in packed format using scaling factors `S` and alternative indexing semantics.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+var out = dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+// AP => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+// out => 'Y'
+```
+
+The function has the following additional parameters:
+
+- **strideAP**: stride length for `AP`.
+- **offsetAP**: starting index for `AP`.
+- **strideS**: stride length for `S`.
+- **offsetS**: starting index for `S`.
+
+While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example,
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var AP = new Float64Array( [ 9999.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var S = new Float64Array( [ 9999.0, 0.05, 2.0, 4.0 ] );
+
+var out = dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 1, S, 1, 1, 0.0125, 6.0 );
+// AP => [ 9999.0, ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+// out => 'Y'
+```
+
+
+
+
+
+
+
+## Notes
+
+- `AP` should contain `N*(N+1)/2` elements.
+- If `scond` is greater than or equal to `0.1` and `amax` is neither too small nor too large (i.e., the matrix is close to neither underflow nor overflow), the matrix is considered to be sufficiently well-scaled, `AP` is left unchanged, and the function returns `'N'`. Otherwise, the function mutates `AP` in-place, replacing `A` by `diag(S)*A*diag(S)`, and returns `'Y'`.
+- `dlaqsp()` corresponds to the [LAPACK][LAPACK] routine [`dlaqsp`][lapack-dlaqsp].
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var dlaqsp = require( '@stdlib/lapack/base/dlaqsp' );
+
+// Define a symmetric matrix in packed format and a vector of scale factors:
+var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+// Equilibrate the matrix, whose upper triangle is stored:
+var out = dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0 );
+console.log( out );
+console.log( AP );
+
+AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+// Equilibrate the matrix, whose lower triangle is stored:
+out = dlaqsp.ndarray( 'column-major', 'lower', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+console.log( out );
+console.log( AP );
+```
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+### Usage
+
+```c
+// TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+// TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[lapack]: https://www.netlib.org/lapack/explore-html/
+
+[lapack-dlaqsp]: https://www.netlib.org/lapack/explore-html/d1/d63/group__laqhp_ga60516a6dc31da01e46cfad594b906b40.html#ga60516a6dc31da01e46cfad594b906b40
+
+[mdn-float64array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float64Array
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+
+
+
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/benchmark/benchmark.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/benchmark/benchmark.js
new file mode 100644
index 000000000000..4ec9dfbbb38a
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/benchmark/benchmark.js
@@ -0,0 +1,108 @@
+/**
+* @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 uniform = require( '@stdlib/random/array/uniform' );
+var isString = require( '@stdlib/assert/is-string' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var dlaqsp = require( './../lib/dlaqsp.js' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - matrix order
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+ var AP;
+ var S;
+
+ AP = uniform( N * ( N + 1 ) / 2, -10.0, 10.0, options );
+ S = uniform( N, 0.5, 2.0, options );
+ return benchmark;
+
+ /**
+ * Benchmark function.
+ *
+ * @private
+ * @param {Benchmark} b - benchmark instance
+ */
+ function benchmark( b ) {
+ var equed;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ equed = dlaqsp( 'column-major', 'upper', N, AP, S, 0.01, 10.0 );
+ if ( !isString( equed ) ) {
+ b.fail( 'should return a string' );
+ }
+ }
+ b.toc();
+ if ( !isString( equed ) ) {
+ b.fail( 'should return a string' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var len;
+ var min;
+ var max;
+ var f;
+ var i;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( i = min; i <= max; i++ ) {
+ len = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+ f = createBenchmark( len );
+ bench( format( '%s:size=%d', pkg, len * ( len + 1 ) / 2 ), f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/benchmark/benchmark.ndarray.js
new file mode 100644
index 000000000000..3e1464c77088
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/benchmark/benchmark.ndarray.js
@@ -0,0 +1,108 @@
+/**
+* @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 uniform = require( '@stdlib/random/array/uniform' );
+var isString = require( '@stdlib/assert/is-string' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var ndarray = require( './../lib/ndarray.js' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - matrix order
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+ var AP;
+ var S;
+
+ AP = uniform( N * ( N + 1 ) / 2, -10.0, 10.0, options );
+ S = uniform( N, 0.5, 2.0, options );
+ return benchmark;
+
+ /**
+ * Benchmark function.
+ *
+ * @private
+ * @param {Benchmark} b - benchmark instance
+ */
+ function benchmark( b ) {
+ var equed;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ equed = ndarray( 'column-major', 'upper', N, AP, 1, 0, S, 1, 0, 0.01, 10.0 );
+ if ( !isString( equed ) ) {
+ b.fail( 'should return a string' );
+ }
+ }
+ b.toc();
+ if ( !isString( equed ) ) {
+ b.fail( 'should return a string' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var len;
+ var min;
+ var max;
+ var f;
+ var i;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( i = min; i <= max; i++ ) {
+ len = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+ f = createBenchmark( len );
+ bench( format( '%s:ndarray:size=%d', pkg, len * ( len + 1 ) / 2 ), f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/docs/repl.txt b/lib/node_modules/@stdlib/lapack/base/dlaqsp/docs/repl.txt
new file mode 100644
index 000000000000..a890a6ad70d3
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/docs/repl.txt
@@ -0,0 +1,123 @@
+
+{{alias}}( order, uplo, N, AP, S, scond, amax )
+ Equilibrates a real symmetric matrix `A` stored in packed format using
+ scaling factors `S`.
+
+ Indexing is relative to the first index. To introduce an offset, use typed
+ array views.
+
+ If `scond` is greater than or equal to `0.1` and `amax` is neither too small
+ nor too large, the matrix is considered to be sufficiently well-scaled, `AP`
+ is left unchanged, and the function returns 'N'. Otherwise, the function
+ mutates `AP` in-place, replacing `A` by diag(S)*A*diag(S), and returns 'Y'.
+
+ Parameters
+ ----------
+ order: string
+ Row-major (C-style) or column-major (Fortran-style) order. Must be
+ either 'row-major' or 'column-major'.
+
+ uplo: string
+ Specifies whether the upper or lower triangular part of the symmetric
+ matrix `A` is stored. Must be either 'upper' or 'lower'.
+
+ N: integer
+ Order of matrix `A`.
+
+ AP: Float64Array
+ Packed symmetric matrix `A`.
+
+ S: Float64Array
+ Scale factors vector.
+
+ scond: number
+ Ratio of smallest `S[i]` to largest `S[i]`.
+
+ amax: number
+ Absolute value of largest matrix entry.
+
+ Returns
+ -------
+ equed: string
+ Character flag indicating whether the matrix was equilibrated ('Y') or
+ not ('N').
+
+ Examples
+ --------
+ > var AP = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ > var S = new {{alias:@stdlib/array/float64}}( [ 0.05, 2.0, 4.0 ] );
+ > {{alias}}( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0 )
+ 'Y'
+ > AP
+ [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+
+
+{{alias}}.ndarray( order, uplo, N, AP, sap, oap, S, ss, os, scond, amax )
+ Equilibrates a real symmetric matrix `A` stored in packed format using
+ scaling factors `S` and alternative indexing semantics.
+
+ While typed array views mandate a view offset based on the underlying
+ buffer, the offset parameters support indexing semantics based on starting
+ indices.
+
+ If `scond` is greater than or equal to `0.1` and `amax` is neither too small
+ nor too large, the matrix is considered to be sufficiently well-scaled, `AP`
+ is left unchanged, and the function returns 'N'. Otherwise, the function
+ mutates `AP` in-place, replacing `A` by diag(S)*A*diag(S), and returns 'Y'.
+
+ Parameters
+ ----------
+ order: string
+ Row-major (C-style) or column-major (Fortran-style) order. Must be
+ either 'row-major' or 'column-major'.
+
+ uplo: string
+ Specifies whether the upper or lower triangular part of the symmetric
+ matrix `A` is stored. Must be either 'upper' or 'lower'.
+
+ N: integer
+ Order of matrix `A`.
+
+ AP: Float64Array
+ Packed symmetric matrix `A`.
+
+ sap: integer
+ Stride of `AP`.
+
+ oap: integer
+ Index offset for `AP`.
+
+ S: Float64Array
+ Scale factors vector.
+
+ ss: integer
+ Stride of `S`.
+
+ os: integer
+ Index offset for `S`.
+
+ scond: number
+ Ratio of smallest `S[i]` to largest `S[i]`.
+
+ amax: number
+ Absolute value of largest matrix entry.
+
+ Returns
+ -------
+ equed: string
+ Character flag indicating whether the matrix was equilibrated ('Y') or
+ not ('N').
+
+ Examples
+ --------
+ > var AP = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ > var S = new {{alias:@stdlib/array/float64}}( [ 0.05, 2.0, 4.0 ] );
+ > var order = 'column-major';
+ > var uplo = 'upper';
+ > {{alias}}.ndarray( order, uplo, 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 )
+ 'Y'
+ > AP
+ [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/docs/types/index.d.ts b/lib/node_modules/@stdlib/lapack/base/dlaqsp/docs/types/index.d.ts
new file mode 100644
index 000000000000..2b6026591f8b
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/docs/types/index.d.ts
@@ -0,0 +1,129 @@
+/*
+* @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
+
+///
+
+import { Layout, MatrixTriangle } from '@stdlib/types/blas';
+
+/**
+* Interface describing `dlaqsp`.
+*/
+interface Routine {
+ /**
+ * Equilibrates a real symmetric matrix `A` stored in packed format using scaling factors `S`.
+ *
+ * @param order - storage layout
+ * @param uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is stored
+ * @param N - order of matrix `A`
+ * @param AP - packed symmetric matrix `A`
+ * @param S - scale factors vector
+ * @param scond - ratio of smallest `S[i]` to largest `S[i]`
+ * @param amax - absolute value of largest matrix entry
+ * @returns character flag indicating whether the matrix was equilibrated ('Y') or not ('N')
+ *
+ * @example
+ * var Float64Array = require( '@stdlib/array/float64' );
+ *
+ * var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ * var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+ *
+ * var out = dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0 );
+ * // AP => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+ * // returns 'Y'
+ *
+ * @example
+ * var Float64Array = require( '@stdlib/array/float64' );
+ *
+ * var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ * var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+ *
+ * var out = dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+ * // AP => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+ * // returns 'Y'
+ */
+ ( order: Layout, uplo: MatrixTriangle, N: number, AP: Float64Array, S: Float64Array, scond: number, amax: number ): string;
+
+ /**
+ * Equilibrates a real symmetric matrix `A` stored in packed format using scaling factors `S` and alternative indexing semantics.
+ *
+ * @param order - storage layout
+ * @param uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is stored
+ * @param N - order of matrix `A`
+ * @param AP - packed symmetric matrix `A`
+ * @param strideAP - `AP` stride length
+ * @param offsetAP - starting index of `AP`
+ * @param S - scale factors vector
+ * @param strideS - `S` stride length
+ * @param offsetS - starting index of `S`
+ * @param scond - ratio of smallest `S[i]` to largest `S[i]`
+ * @param amax - absolute value of largest matrix entry
+ * @returns character flag indicating whether the matrix was equilibrated ('Y') or not ('N')
+ *
+ * @example
+ * var Float64Array = require( '@stdlib/array/float64' );
+ *
+ * var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ * var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+ *
+ * var out = dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+ * // AP => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+ * // returns 'Y'
+ */
+ ndarray( order: Layout, uplo: MatrixTriangle, N: number, AP: Float64Array, strideAP: number, offsetAP: number, S: Float64Array, strideS: number, offsetS: number, scond: number, amax: number ): string;
+}
+
+/**
+* Equilibrates a real symmetric matrix `A` stored in packed format using scaling factors `S`.
+*
+* @param order - storage layout
+* @param uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is stored
+* @param N - order of matrix `A`
+* @param AP - packed symmetric matrix `A`
+* @param S - scale factors vector
+* @param scond - ratio of smallest `S[i]` to largest `S[i]`
+* @param amax - absolute value of largest matrix entry
+* @returns character flag indicating whether the matrix was equilibrated ('Y') or not ('N')
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+* var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+*
+* var out = dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0 );
+* // AP => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+* // returns 'Y'
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+* var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+*
+* var out = dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+* // AP => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+* // returns 'Y'
+*/
+declare var dlaqsp: Routine;
+
+
+// EXPORTS //
+
+export = dlaqsp;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/docs/types/test.ts b/lib/node_modules/@stdlib/lapack/base/dlaqsp/docs/types/test.ts
new file mode 100644
index 000000000000..a4448b5cc470
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/docs/types/test.ts
@@ -0,0 +1,342 @@
+/*
+* @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 dlaqsp = require( './index' );
+
+
+// TESTS //
+
+// The function returns a string...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0 ); // $ExpectType string
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a string...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp( 5, 'upper', 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( true, 'upper', 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( false, 'upper', 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( null, 'upper', 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( void 0, 'upper', 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( [], 'upper', 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( {}, 'upper', 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( ( x: number ): number => x, 'upper', 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a string...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp( 'column-major', 5, 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', true, 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', false, 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', null, 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', void 0, 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', [], 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', {}, 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', ( x: number ): number => x, 3, AP, S, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp( 'column-major', 'upper', '5', AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', true, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', false, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', null, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', void 0, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', [], AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', {}, AP, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', ( x: number ): number => x, AP, S, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a Float64Array...
+{
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp( 'column-major', 'upper', 3, '5', S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, 5, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, true, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, false, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, null, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, void 0, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, [], S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, {}, S, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, ( x: number ): number => x, S, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a Float64Array...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+
+ dlaqsp( 'column-major', 'upper', 3, AP, '5', 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, 5, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, true, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, false, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, null, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, void 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, [], 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, {}, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, ( x: number ): number => x, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp( 'column-major', 'upper', 3, AP, S, '5', 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, true, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, false, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, null, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, void 0, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, [], 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, {}, 6.0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, ( x: number ): number => x, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a seventh argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, '6.0' ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, true ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, false ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, null ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, void 0 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, [] ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, {} ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp(); // $ExpectError
+ dlaqsp( 'column-major' ); // $ExpectError
+ dlaqsp( 'column-major', 'upper' ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125 ); // $ExpectError
+ dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0, 10 ); // $ExpectError
+}
+
+// Attached to main export is an `ndarray` method which returns a string...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectType string
+}
+
+// The compiler throws an error if the `ndarray` method is provided a first argument which is not a string...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 5, 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( true, 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( false, 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( null, 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( void 0, 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( [], 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( {}, 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( ( x: number ): number => x, 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a second argument which is not a string...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 5, 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', true, 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', false, 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', null, 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', void 0, 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', [], 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', {}, 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', ( x: number ): number => x, 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a third argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', '5', AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', true, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', false, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', null, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', void 0, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', [], AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', {}, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', ( x: number ): number => x, AP, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fourth argument which is not a Float64Array...
+{
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', 3, '5', 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, 5, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, true, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, false, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, null, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, void 0, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, [], 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, {}, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, ( x: number ): number => x, 1, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fifth argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, '5', 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, true, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, false, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, null, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, void 0, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, [], 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, {}, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, ( x: number ): number => x, 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a sixth argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, '5', S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, true, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, false, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, null, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, void 0, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, [], S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, {}, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, ( x: number ): number => x, S, 1, 0, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a seventh argument which is not a Float64Array...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, '5', 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, 5, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, true, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, false, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, null, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, void 0, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, [], 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, {}, 1, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, ( x: number ): number => x, 1, 0, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eighth argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, '5', 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, true, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, false, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, null, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, void 0, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, [], 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, {}, 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, ( x: number ): number => x, 0, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a ninth argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, '5', 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, true, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, false, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, null, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, void 0, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, [], 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, {}, 0.0125, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, ( x: number ): number => x, 0.0125, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a tenth argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, '5', 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, true, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, false, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, null, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, void 0, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, [], 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, {}, 6.0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, ( x: number ): number => x, 6.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eleventh argument which is not a number...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, '6.0' ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, true ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, false ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, null ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, void 0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, [] ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, {} ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments...
+{
+ const AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ const S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+ dlaqsp.ndarray(); // $ExpectError
+ dlaqsp.ndarray( 'column-major' ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper' ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125 ); // $ExpectError
+ dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0, 10 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/examples/index.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/examples/index.js
new file mode 100644
index 000000000000..50f59ae40752
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/examples/index.js
@@ -0,0 +1,39 @@
+/**
+* @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 dlaqsp = require( './../lib' );
+
+// Define a symmetric matrix in packed format and a vector of scale factors:
+var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+// Equilibrate the matrix, whose upper triangle is stored:
+var out = dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0 );
+console.log( out );
+console.log( AP );
+
+AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+
+// Equilibrate the matrix, whose lower triangle is stored:
+out = dlaqsp.ndarray( 'column-major', 'lower', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+console.log( out );
+console.log( AP );
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/base.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/base.js
new file mode 100644
index 000000000000..5501143f4678
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/base.js
@@ -0,0 +1,108 @@
+/**
+* @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 dlamch = require( '@stdlib/lapack/base/dlamch' );
+
+
+// MAIN //
+
+/**
+* Equilibrates a real symmetric matrix `A` stored in packed format using scaling factors `S`.
+*
+* @private
+* @param {boolean} isUpper - boolean indicating whether `AP` contains the upper triangular part of `A` stored in column-major order
+* @param {NonNegativeInteger} N - order of matrix `A`
+* @param {Float64Array} AP - packed symmetric matrix `A`
+* @param {integer} strideAP - `AP` stride length
+* @param {NonNegativeInteger} offsetAP - starting index of `AP`
+* @param {Float64Array} S - scale factors vector
+* @param {integer} strideS - `S` stride length
+* @param {NonNegativeInteger} offsetS - starting index of `S`
+* @param {number} scond - ratio of smallest `S[i]` to largest `S[i]`
+* @param {number} amax - absolute value of largest matrix entry
+* @returns {string} character flag indicating whether the matrix was equilibrated ('Y') or not ('N')
+*/
+function dlaqsp( isUpper, N, AP, strideAP, offsetAP, S, strideS, offsetS, scond, amax ) { // eslint-disable-line max-len
+ var thresh;
+ var small;
+ var large;
+ var iap;
+ var cj;
+ var jc;
+ var is;
+ var js;
+ var i;
+ var j;
+
+ if ( N <= 0 ) {
+ return 'N';
+ }
+
+ thresh = 0.1;
+ small = dlamch( 'Safe minimum' ) / dlamch( 'Precision' );
+ large = 1.0 / small;
+
+ // If the matrix is already well-conditioned (`scond` above threshold) and its largest entry is within safe bounds, no equilibration is needed...
+ if ( scond >= thresh && amax >= small && amax <= large ) {
+ return 'N';
+ }
+ // Replace A by diag(S) * A * diag(S):
+ if ( isUpper ) {
+ // Upper triangle of A is stored:
+ jc = 0;
+ js = offsetS;
+ for ( j = 0; j < N; j++ ) {
+ cj = S[ js ];
+ iap = offsetAP + ( jc * strideAP );
+ is = offsetS;
+ for ( i = 0; i <= j; i++ ) {
+ AP[ iap ] *= cj * S[ is ];
+ iap += strideAP;
+ is += strideS;
+ }
+ jc += j + 1;
+ js += strideS;
+ }
+ } else {
+ // Lower triangle of A is stored:
+ jc = 0;
+ js = offsetS;
+ for ( j = 0; j < N; j++ ) {
+ cj = S[ js ];
+ iap = offsetAP + ( jc * strideAP );
+ is = js;
+ for ( i = j; i < N; i++ ) {
+ AP[ iap ] *= cj * S[ is ];
+ iap += strideAP;
+ is += strideS;
+ }
+ jc += N - j;
+ js += strideS;
+ }
+ }
+ return 'Y';
+}
+
+
+// EXPORTS //
+
+module.exports = dlaqsp;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/dlaqsp.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/dlaqsp.js
new file mode 100644
index 000000000000..1d558d3baf6c
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/dlaqsp.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';
+
+// MODULES //
+
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+/**
+* Equilibrates a real symmetric matrix `A` stored in packed format using scaling factors `S`.
+*
+* @param {string} order - storage layout
+* @param {string} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is stored
+* @param {NonNegativeInteger} N - order of matrix `A`
+* @param {Float64Array} AP - packed symmetric matrix `A`
+* @param {Float64Array} S - scale factors vector
+* @param {number} scond - ratio of smallest `S[i]` to largest `S[i]`
+* @param {number} amax - absolute value of largest matrix entry
+* @throws {TypeError} first argument must be a valid order
+* @throws {TypeError} second argument must specify whether the lower or upper triangular matrix is supplied
+* @throws {RangeError} third argument must be a nonnegative integer
+* @returns {string} character flag indicating whether the matrix was equilibrated ('Y') or not ('N')
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dlaqsp = require( '@stdlib/lapack/base/dlaqsp' );
+*
+* var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+* var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+*
+* var out = dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0 );
+* // returns 'Y'
+*/
+function dlaqsp( order, uplo, N, AP, S, scond, amax ) {
+ return ndarray( order, uplo, N, AP, 1, 0, S, 1, 0, scond, amax );
+}
+
+
+// EXPORTS //
+
+module.exports = dlaqsp;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/index.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/index.js
new file mode 100644
index 000000000000..7d0ea0a2a3a1
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/index.js
@@ -0,0 +1,72 @@
+/**
+* @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';
+
+/**
+* LAPACK routine to equilibrate a real symmetric matrix stored in packed format.
+*
+* @module @stdlib/lapack/base/dlaqsp
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dlaqsp = require( '@stdlib/lapack/base/dlaqsp' );
+*
+* var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+* var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+*
+* var out = dlaqsp( 'column-major', 'upper', 3, AP, S, 0.0125, 6.0 );
+* // AP => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+* // returns 'Y'
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dlaqsp = require( '@stdlib/lapack/base/dlaqsp' );
+*
+* var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+* var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+*
+* var out = dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+* // AP => [ ~0.0025, 0.2, 12.0, 0.8, 40.0, 96.0 ]
+* // returns 'Y'
+*/
+
+// MODULES //
+
+var join = require( 'path' ).join;
+var tryRequire = require( '@stdlib/utils/try-require' );
+var isError = require( '@stdlib/assert/is-error' );
+var main = require( './main.js' );
+
+
+// MAIN //
+
+var dlaqsp;
+var tmp = tryRequire( join( __dirname, './native.js' ) );
+if ( isError( tmp ) ) {
+ dlaqsp = main;
+} else {
+ dlaqsp = tmp;
+}
+
+
+// EXPORTS //
+
+module.exports = dlaqsp;
+
+// exports: { "ndarray": "dlaqsp.ndarray" }
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/main.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/main.js
new file mode 100644
index 000000000000..a6864d940801
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/main.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';
+
+// MODULES //
+
+var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+var dlaqsp = require( './dlaqsp.js' );
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+setReadOnly( dlaqsp, 'ndarray', ndarray );
+
+
+// EXPORTS //
+
+module.exports = dlaqsp;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/ndarray.js
new file mode 100644
index 000000000000..ef75c8edd77c
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/lib/ndarray.js
@@ -0,0 +1,92 @@
+/**
+* @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, max-params */
+
+'use strict';
+
+// MODULES //
+
+var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
+var isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' );
+var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
+var format = require( '@stdlib/string/format' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Equilibrates a real symmetric matrix `A` stored in packed format using scaling factors `S` and alternative indexing semantics.
+*
+* @param {string} order - storage layout
+* @param {string} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is stored
+* @param {NonNegativeInteger} N - order of matrix `A`
+* @param {Float64Array} AP - packed symmetric matrix `A`
+* @param {integer} strideAP - `AP` stride length
+* @param {NonNegativeInteger} offsetAP - starting index of `AP`
+* @param {Float64Array} S - scale factors vector
+* @param {integer} strideS - `S` stride length
+* @param {NonNegativeInteger} offsetS - starting index of `S`
+* @param {number} scond - ratio of smallest `S[i]` to largest `S[i]`
+* @param {number} amax - absolute value of largest matrix entry
+* @throws {TypeError} first argument must be a valid order
+* @throws {TypeError} second argument must specify whether the lower or upper triangular matrix is supplied
+* @throws {RangeError} third argument must be a nonnegative integer
+* @throws {RangeError} fifth argument must be non-zero
+* @throws {RangeError} eighth argument must be non-zero
+* @returns {string} character flag indicating whether the matrix was equilibrated ('Y') or not ('N')
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dlaqsp = require( '@stdlib/lapack/base/dlaqsp' );
+*
+* var AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+* var S = new Float64Array( [ 0.05, 2.0, 4.0 ] );
+*
+* var out = dlaqsp.ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+* // returns 'Y'
+*/
+function ndarray( order, uplo, N, AP, strideAP, offsetAP, S, strideS, offsetS, scond, amax ) {
+ var isUpper;
+
+ if ( !isLayout( order ) ) {
+ throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
+ }
+ if ( !isMatrixTriangle( uplo ) ) {
+ throw new TypeError( format( 'invalid argument. Second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) );
+ }
+ if ( N < 0 ) {
+ throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', N ) );
+ }
+ if ( strideAP === 0 ) {
+ throw new RangeError( format( 'invalid argument. Fifth argument must be non-zero. Value: `%d`.', strideAP ) );
+ }
+ if ( strideS === 0 ) {
+ throw new RangeError( format( 'invalid argument. Eighth argument must be non-zero. Value: `%d`.', strideS ) );
+ }
+
+ isUpper = ( ( isColumnMajor( order ) && uplo === 'upper' ) || ( !isColumnMajor( order ) && uplo === 'lower' ) );
+
+ return base( isUpper, N, AP, strideAP, offsetAP, S, strideS, offsetS, scond, amax );
+}
+
+
+// EXPORTS //
+
+module.exports = ndarray;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/package.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/package.json
new file mode 100644
index 000000000000..bacc5e0ac2dd
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/package.json
@@ -0,0 +1,72 @@
+{
+ "name": "@stdlib/lapack/base/dlaqsp",
+ "version": "0.0.0",
+ "description": "Equilibrate a real symmetric matrix stored in packed format.",
+ "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",
+ "stdmath",
+ "mathematics",
+ "math",
+ "lapack",
+ "dlaqsp",
+ "equilibration",
+ "matrix",
+ "symmetric",
+ "packed",
+ "scaling",
+ "linear",
+ "algebra",
+ "subroutines",
+ "array",
+ "ndarray",
+ "float64",
+ "double",
+ "float64array"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower.json
new file mode 100644
index 000000000000..4028b47be9b9
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower.json
@@ -0,0 +1,33 @@
+{
+ "order": "column-major",
+ "uplo": "lower",
+ "N": 3,
+ "AP": [
+ 1,
+ 2,
+ 3,
+ 4,
+ 5,
+ 6
+ ],
+ "strideAP": 1,
+ "offsetAP": 0,
+ "S": [
+ 0.05,
+ 2,
+ 4
+ ],
+ "strideS": 1,
+ "offsetS": 0,
+ "scond": 0.0125,
+ "amax": 6,
+ "AP_out": [
+ 0.0025000000000000005,
+ 0.2,
+ 0.6000000000000001,
+ 16,
+ 40,
+ 96
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_large_strides.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_large_strides.json
new file mode 100644
index 000000000000..5a851bc2941c
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_large_strides.json
@@ -0,0 +1,48 @@
+{
+ "order": "column-major",
+ "uplo": "lower",
+ "N": 3,
+ "AP": [
+ 1,
+ 9999,
+ 2,
+ 9999,
+ 3,
+ 9999,
+ 4,
+ 9999,
+ 5,
+ 9999,
+ 6,
+ 9999
+ ],
+ "strideAP": 2,
+ "offsetAP": 0,
+ "S": [
+ 0.05,
+ 9999,
+ 2,
+ 9999,
+ 4,
+ 9999
+ ],
+ "strideS": 2,
+ "offsetS": 0,
+ "scond": 0.0125,
+ "amax": 6,
+ "AP_out": [
+ 0.0025000000000000005,
+ 9999,
+ 0.2,
+ 9999,
+ 0.6000000000000001,
+ 9999,
+ 16,
+ 9999,
+ 40,
+ 9999,
+ 96,
+ 9999
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_n1.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_n1.json
new file mode 100644
index 000000000000..f8508c5d29c4
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_n1.json
@@ -0,0 +1,21 @@
+{
+ "order": "column-major",
+ "uplo": "lower",
+ "N": 1,
+ "AP": [
+ 4
+ ],
+ "strideAP": 1,
+ "offsetAP": 0,
+ "S": [
+ 0.25
+ ],
+ "strideS": 1,
+ "offsetS": 0,
+ "scond": 0.05,
+ "amax": 4,
+ "AP_out": [
+ 0.25
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_n5.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_n5.json
new file mode 100644
index 000000000000..7a2c35f120da
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_n5.json
@@ -0,0 +1,53 @@
+{
+ "order": "column-major",
+ "uplo": "lower",
+ "N": 5,
+ "AP": [
+ 1.5,
+ -2.25,
+ 3.75,
+ 4,
+ -5.5,
+ 6.25,
+ 7,
+ -8.5,
+ 9.75,
+ 10,
+ -11.25,
+ 12.5,
+ 13.75,
+ -14,
+ 15.5
+ ],
+ "strideAP": 1,
+ "offsetAP": 0,
+ "S": [
+ 0.03125,
+ 0.5,
+ 2,
+ 16,
+ 0.125
+ ],
+ "strideS": 1,
+ "offsetS": 0,
+ "scond": 0.001953125,
+ "amax": 15.5,
+ "AP_out": [
+ 0.00146484375,
+ -0.03515625,
+ 0.234375,
+ 2,
+ -0.021484375,
+ 1.5625,
+ 7,
+ -68,
+ 0.609375,
+ 40,
+ -360,
+ 3.125,
+ 3520,
+ -28,
+ 0.2421875
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_negative_strides.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_negative_strides.json
new file mode 100644
index 000000000000..fc3f7cf068ab
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_negative_strides.json
@@ -0,0 +1,33 @@
+{
+ "order": "column-major",
+ "uplo": "lower",
+ "N": 3,
+ "AP": [
+ 6,
+ 5,
+ 4,
+ 3,
+ 2,
+ 1
+ ],
+ "strideAP": -1,
+ "offsetAP": 5,
+ "S": [
+ 4,
+ 2,
+ 0.05
+ ],
+ "strideS": -1,
+ "offsetS": 2,
+ "scond": 0.0125,
+ "amax": 6,
+ "AP_out": [
+ 96,
+ 40,
+ 16,
+ 0.6000000000000001,
+ 0.2,
+ 0.0025000000000000005
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_offsets.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_offsets.json
new file mode 100644
index 000000000000..a5901fc3d06d
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_offsets.json
@@ -0,0 +1,36 @@
+{
+ "order": "column-major",
+ "uplo": "lower",
+ "N": 3,
+ "AP": [
+ 9999,
+ 1,
+ 2,
+ 3,
+ 4,
+ 5,
+ 6
+ ],
+ "strideAP": 1,
+ "offsetAP": 1,
+ "S": [
+ 9999,
+ 0.05,
+ 2,
+ 4
+ ],
+ "strideS": 1,
+ "offsetS": 1,
+ "scond": 0.0125,
+ "amax": 6,
+ "AP_out": [
+ 9999,
+ 0.0025000000000000005,
+ 0.2,
+ 0.6000000000000001,
+ 16,
+ 40,
+ 96
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_rounding.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_rounding.json
new file mode 100644
index 000000000000..68750ef6ff70
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_lower_rounding.json
@@ -0,0 +1,33 @@
+{
+ "order": "column-major",
+ "uplo": "lower",
+ "N": 3,
+ "AP": [
+ -9.732141494626244,
+ -5.954675151014084,
+ 9.754648217817138,
+ 7.822198876096959,
+ 0.03678322305752957,
+ 2.2467899379538316
+ ],
+ "strideAP": 1,
+ "offsetAP": 0,
+ "S": [
+ 0.022770366669991226,
+ 1.8288016916852452,
+ 2.68750989492401
+ ],
+ "strideS": 1,
+ "offsetS": 0,
+ "scond": 0.00847266337995569,
+ "amax": 9.754648217817138,
+ "AP_out": [
+ -0.005046014134009787,
+ -0.24796747117030152,
+ 0.596941411344282,
+ 26.16146638260381,
+ 0.18078669586067367,
+ 16.227910884028738
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper.json
new file mode 100644
index 000000000000..1833db596fd2
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper.json
@@ -0,0 +1,33 @@
+{
+ "order": "column-major",
+ "uplo": "upper",
+ "N": 3,
+ "AP": [
+ 1,
+ 2,
+ 3,
+ 4,
+ 5,
+ 6
+ ],
+ "strideAP": 1,
+ "offsetAP": 0,
+ "S": [
+ 0.05,
+ 2,
+ 4
+ ],
+ "strideS": 1,
+ "offsetS": 0,
+ "scond": 0.0125,
+ "amax": 6,
+ "AP_out": [
+ 0.0025000000000000005,
+ 0.2,
+ 12,
+ 0.8,
+ 40,
+ 96
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_large_strides.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_large_strides.json
new file mode 100644
index 000000000000..e4deda25ceb3
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_large_strides.json
@@ -0,0 +1,48 @@
+{
+ "order": "column-major",
+ "uplo": "upper",
+ "N": 3,
+ "AP": [
+ 1,
+ 9999,
+ 2,
+ 9999,
+ 3,
+ 9999,
+ 4,
+ 9999,
+ 5,
+ 9999,
+ 6,
+ 9999
+ ],
+ "strideAP": 2,
+ "offsetAP": 0,
+ "S": [
+ 0.05,
+ 9999,
+ 2,
+ 9999,
+ 4,
+ 9999
+ ],
+ "strideS": 2,
+ "offsetS": 0,
+ "scond": 0.0125,
+ "amax": 6,
+ "AP_out": [
+ 0.0025000000000000005,
+ 9999,
+ 0.2,
+ 9999,
+ 12,
+ 9999,
+ 0.8,
+ 9999,
+ 40,
+ 9999,
+ 96,
+ 9999
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_n1.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_n1.json
new file mode 100644
index 000000000000..759f6a80e7b8
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_n1.json
@@ -0,0 +1,21 @@
+{
+ "order": "column-major",
+ "uplo": "upper",
+ "N": 1,
+ "AP": [
+ 4
+ ],
+ "strideAP": 1,
+ "offsetAP": 0,
+ "S": [
+ 0.25
+ ],
+ "strideS": 1,
+ "offsetS": 0,
+ "scond": 0.05,
+ "amax": 4,
+ "AP_out": [
+ 0.25
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_n5.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_n5.json
new file mode 100644
index 000000000000..789a71832e76
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_n5.json
@@ -0,0 +1,53 @@
+{
+ "order": "column-major",
+ "uplo": "upper",
+ "N": 5,
+ "AP": [
+ 1.5,
+ -2.25,
+ 3.75,
+ 4,
+ -5.5,
+ 6.25,
+ 7,
+ -8.5,
+ 9.75,
+ 10,
+ -11.25,
+ 12.5,
+ 13.75,
+ -14,
+ 15.5
+ ],
+ "strideAP": 1,
+ "offsetAP": 0,
+ "S": [
+ 0.03125,
+ 0.5,
+ 2,
+ 16,
+ 0.125
+ ],
+ "strideS": 1,
+ "offsetS": 0,
+ "scond": 0.001953125,
+ "amax": 15.5,
+ "AP_out": [
+ 0.00146484375,
+ -0.03515625,
+ 0.9375,
+ 0.25,
+ -5.5,
+ 25,
+ 3.5,
+ -68,
+ 312,
+ 2560,
+ -0.0439453125,
+ 0.78125,
+ 3.4375,
+ -28,
+ 0.2421875
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_negative_strides.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_negative_strides.json
new file mode 100644
index 000000000000..4b227da20b53
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_negative_strides.json
@@ -0,0 +1,33 @@
+{
+ "order": "column-major",
+ "uplo": "upper",
+ "N": 3,
+ "AP": [
+ 6,
+ 5,
+ 4,
+ 3,
+ 2,
+ 1
+ ],
+ "strideAP": -1,
+ "offsetAP": 5,
+ "S": [
+ 4,
+ 2,
+ 0.05
+ ],
+ "strideS": -1,
+ "offsetS": 2,
+ "scond": 0.0125,
+ "amax": 6,
+ "AP_out": [
+ 96,
+ 40,
+ 0.8,
+ 12,
+ 0.2,
+ 0.0025000000000000005
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_offsets.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_offsets.json
new file mode 100644
index 000000000000..fe858a491c32
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_offsets.json
@@ -0,0 +1,36 @@
+{
+ "order": "column-major",
+ "uplo": "upper",
+ "N": 3,
+ "AP": [
+ 9999,
+ 1,
+ 2,
+ 3,
+ 4,
+ 5,
+ 6
+ ],
+ "strideAP": 1,
+ "offsetAP": 1,
+ "S": [
+ 9999,
+ 0.05,
+ 2,
+ 4
+ ],
+ "strideS": 1,
+ "offsetS": 1,
+ "scond": 0.0125,
+ "amax": 6,
+ "AP_out": [
+ 9999,
+ 0.0025000000000000005,
+ 0.2,
+ 12,
+ 0.8,
+ 40,
+ 96
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_rounding.json b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_rounding.json
new file mode 100644
index 000000000000..4554de3ee200
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/fixtures/column_major_upper_rounding.json
@@ -0,0 +1,33 @@
+{
+ "order": "column-major",
+ "uplo": "upper",
+ "N": 3,
+ "AP": [
+ -9.732141494626244,
+ -5.954675151014084,
+ 9.754648217817138,
+ 7.822198876096959,
+ 0.03678322305752957,
+ 2.2467899379538316
+ ],
+ "strideAP": 1,
+ "offsetAP": 0,
+ "S": [
+ 0.022770366669991226,
+ 1.8288016916852452,
+ 2.68750989492401
+ ],
+ "strideS": 1,
+ "offsetS": 0,
+ "scond": 0.00847266337995569,
+ "amax": 9.754648217817138,
+ "AP_out": [
+ -0.005046014134009787,
+ -0.24796747117030152,
+ 32.62457340535994,
+ 0.47868404197131326,
+ 0.18078669586067367,
+ 16.227910884028738
+ ],
+ "equed_out": "Y"
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/test.dlaqsp.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/test.dlaqsp.js
new file mode 100644
index 000000000000..74a7f168ffa9
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/test.dlaqsp.js
@@ -0,0 +1,472 @@
+/**
+* @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 isSameFloat64Array = require( '@stdlib/assert/is-same-float64array' );
+var Float64Array = require( '@stdlib/array/float64' );
+var dlamch = require( '@stdlib/lapack/base/dlamch' );
+var dlaqsp = require( './../lib/dlaqsp.js' );
+
+
+// FIXTURES //
+
+var fixtureU = require( './fixtures/column_major_upper.json' );
+var fixtureL = require( './fixtures/column_major_lower.json' );
+var fixtureU1 = require( './fixtures/column_major_upper_n1.json' );
+var fixtureL1 = require( './fixtures/column_major_lower_n1.json' );
+var fixtureU5 = require( './fixtures/column_major_upper_n5.json' );
+var fixtureL5 = require( './fixtures/column_major_lower_n5.json' );
+var roundingU = require( './fixtures/column_major_upper_rounding.json' );
+var roundingL = require( './fixtures/column_major_lower_rounding.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof dlaqsp, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 7', function test( t ) {
+ t.strictEqual( dlaqsp.length, 7, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function throws an error if provided an invalid first argument', function test( t ) {
+ var values;
+ var AP;
+ var S;
+ var i;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'row-major-invalid',
+ 123,
+ true,
+ null,
+ void 0,
+ {}
+ ];
+
+ AP = new Float64Array( 6 );
+ S = new Float64Array( 3 );
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dlaqsp( value, 'upper', 3, AP, S, 0.0125, 6.0 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid second argument', function test( t ) {
+ var values;
+ var AP;
+ var S;
+ var i;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'upper-invalid',
+ 123,
+ true,
+ null,
+ void 0,
+ {}
+ ];
+
+ AP = new Float64Array( 6 );
+ S = new Float64Array( 3 );
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dlaqsp( 'column-major', value, 3, AP, S, 0.0125, 6.0 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid third argument', function test( t ) {
+ var values;
+ var AP;
+ var S;
+ var i;
+
+ values = [
+ -1,
+ -2,
+ -3,
+ -100
+ ];
+
+ AP = new Float64Array( 6 );
+ S = new Float64Array( 3 );
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ dlaqsp( 'column-major', 'upper', value, AP, S, 0.0125, 6.0 );
+ };
+ }
+});
+
+tape( 'the function equilibrates a real symmetric matrix stored in packed format (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = fixtureU.N;
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ equed = dlaqsp( 'column-major', 'upper', N, AP, S, fixtureU.scond, fixtureU.amax );
+ t.strictEqual( equed, fixtureU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a real symmetric matrix stored in packed format (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = fixtureL.N;
+ AP = new Float64Array( fixtureL.AP );
+ S = new Float64Array( fixtureL.S );
+
+ expectedAP = new Float64Array( fixtureL.AP_out );
+
+ equed = dlaqsp( 'column-major', 'lower', N, AP, S, fixtureL.scond, fixtureL.amax );
+ t.strictEqual( equed, fixtureL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a matrix of order one (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU1.AP );
+ S = new Float64Array( fixtureU1.S );
+
+ expectedAP = new Float64Array( fixtureU1.AP_out );
+
+ equed = dlaqsp( 'column-major', 'upper', fixtureU1.N, AP, S, fixtureU1.scond, fixtureU1.amax );
+ t.strictEqual( equed, fixtureU1.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a matrix of order one (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureL1.AP );
+ S = new Float64Array( fixtureL1.S );
+
+ expectedAP = new Float64Array( fixtureL1.AP_out );
+
+ equed = dlaqsp( 'column-major', 'lower', fixtureL1.N, AP, S, fixtureL1.scond, fixtureL1.amax );
+ t.strictEqual( equed, fixtureL1.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a higher-order matrix (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU5.AP );
+ S = new Float64Array( fixtureU5.S );
+
+ expectedAP = new Float64Array( fixtureU5.AP_out );
+
+ equed = dlaqsp( 'column-major', 'upper', fixtureU5.N, AP, S, fixtureU5.scond, fixtureU5.amax );
+ t.strictEqual( equed, fixtureU5.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a higher-order matrix (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureL5.AP );
+ S = new Float64Array( fixtureL5.S );
+
+ expectedAP = new Float64Array( fixtureL5.AP_out );
+
+ equed = dlaqsp( 'column-major', 'lower', fixtureL5.N, AP, S, fixtureL5.scond, fixtureL5.amax );
+ t.strictEqual( equed, fixtureL5.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function preserves the reference evaluation order when scaling (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( roundingU.AP );
+ S = new Float64Array( roundingU.S );
+
+ expectedAP = new Float64Array( roundingU.AP_out );
+
+ // Note: every entry of this fixture distinguishes the LAPACK evaluation order `AP*(CJ*S(I))` from `(CJ*AP)*S(I)`, which differ by one ULP...
+ equed = dlaqsp( 'column-major', 'upper', roundingU.N, AP, S, roundingU.scond, roundingU.amax );
+ t.strictEqual( equed, roundingU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function preserves the reference evaluation order when scaling (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( roundingL.AP );
+ S = new Float64Array( roundingL.S );
+
+ expectedAP = new Float64Array( roundingL.AP_out );
+
+ equed = dlaqsp( 'column-major', 'lower', roundingL.N, AP, S, roundingL.scond, roundingL.amax );
+ t.strictEqual( equed, roundingL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function does not modify the vector of scale factors', function test( t ) {
+ var expectedS;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedS = new Float64Array( fixtureU.S );
+
+ dlaqsp( 'column-major', 'upper', fixtureU.N, AP, S, fixtureU.scond, fixtureU.amax );
+ t.strictEqual( isSameFloat64Array( S, expectedS ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports row-major layout (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = fixtureL.N;
+ AP = new Float64Array( fixtureL.AP );
+ S = new Float64Array( fixtureL.S );
+
+ expectedAP = new Float64Array( fixtureL.AP_out );
+
+ // Note: row-major upper uses lower triangle column-major values/logic:
+ equed = dlaqsp( 'row-major', 'upper', N, AP, S, fixtureL.scond, fixtureL.amax );
+ t.strictEqual( equed, fixtureL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports row-major layout (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = fixtureU.N;
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ // Note: row-major lower uses upper triangle column-major values/logic:
+ equed = dlaqsp( 'row-major', 'lower', N, AP, S, fixtureU.scond, fixtureU.amax );
+ t.strictEqual( equed, fixtureU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns \'N\' when N is 0', function test( t ) {
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( 0 );
+ S = new Float64Array( 0 );
+
+ equed = dlaqsp( 'column-major', 'upper', 0, AP, S, 0.0125, 6.0 );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns \'N\' and does not modify the matrix when equilibration is not needed', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ S = new Float64Array( [ 1.0, 1.0, 1.0 ] );
+
+ expectedAP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+
+ equed = dlaqsp( 'column-major', 'upper', 3, AP, S, 0.5, 6.0 );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns \'N\' and does not modify the matrix when `scond` equals the scaling threshold', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP );
+
+ // Note: the LAPACK reference implementation only scales when `scond` is strictly less than `0.1`...
+ equed = dlaqsp( 'column-major', 'upper', fixtureU.N, AP, S, 0.1, fixtureU.amax );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates the matrix when `scond` is less than the scaling threshold', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ equed = dlaqsp( 'column-major', 'upper', fixtureU.N, AP, S, 0.09999999999999999, fixtureU.amax );
+ t.strictEqual( equed, 'Y', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates the matrix when `amax` is too small, even if `scond` is greater than or equal to the scaling threshold', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ // Note: `1.0e-300` is less than `dlamch( 'Safe minimum' ) / dlamch( 'Precision' )`, meaning that the matrix is close to underflow...
+ equed = dlaqsp( 'column-major', 'upper', fixtureU.N, AP, S, 0.5, 1.0e-300 );
+ t.strictEqual( equed, 'Y', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates the matrix when `amax` is too large, even if `scond` is greater than or equal to the scaling threshold', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ // Note: `1.0e300` is greater than `dlamch( 'Precision' ) / dlamch( 'Safe minimum' )`, meaning that the matrix is close to overflow...
+ equed = dlaqsp( 'column-major', 'upper', fixtureU.N, AP, S, 0.5, 1.0e300 );
+ t.strictEqual( equed, 'Y', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns \'N\' when `amax` equals the underflow and overflow thresholds', function test( t ) {
+ var expectedAP;
+ var large;
+ var small;
+ var equed;
+ var AP;
+ var S;
+
+ small = dlamch( 'Safe minimum' ) / dlamch( 'Precision' );
+ large = 1.0 / small;
+
+ expectedAP = new Float64Array( fixtureU.AP );
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ equed = dlaqsp( 'column-major', 'upper', fixtureU.N, AP, S, 0.5, small );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ equed = dlaqsp( 'column-major', 'upper', fixtureU.N, AP, S, 0.5, large );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/test.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/test.js
new file mode 100644
index 000000000000..772997c8c7f0
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/test.js
@@ -0,0 +1,84 @@
+/**
+* @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 proxyquire = require( 'proxyquire' );
+var IS_BROWSER = require( '@stdlib/assert/is-browser' );
+var dlaqsp = require( './../lib' );
+
+
+// VARIABLES //
+
+var opts = {
+ 'skip': IS_BROWSER
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof dlaqsp, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'attached to the main export is a method providing an ndarray interface', function test( t ) {
+ t.strictEqual( typeof dlaqsp.ndarray, 'function', 'method is a function' );
+ t.end();
+});
+
+tape( 'if a native implementation is available, the main export is the native implementation', opts, function test( t ) {
+ var dlaqsp;
+
+ dlaqsp = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( dlaqsp, mock, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return mock;
+ }
+
+ function mock() {
+ // Mock...
+ }
+});
+
+tape( 'if a native implementation is not available, the main export is a JavaScript implementation', opts, function test( t ) {
+ var dlaqsp;
+ var main;
+
+ main = require( './../lib/dlaqsp.js' );
+
+ dlaqsp = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( dlaqsp, main, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return new Error( 'Cannot find module' );
+ }
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/test.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/test.ndarray.js
new file mode 100644
index 000000000000..3c50e05b341f
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlaqsp/test/test.ndarray.js
@@ -0,0 +1,652 @@
+/**
+* @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 isSameFloat64Array = require( '@stdlib/assert/is-same-float64array' );
+var Float64Array = require( '@stdlib/array/float64' );
+var dlamch = require( '@stdlib/lapack/base/dlamch' );
+var ndarray = require( './../lib/ndarray.js' );
+
+
+// FIXTURES //
+
+var fixtureU = require( './fixtures/column_major_upper.json' );
+var fixtureL = require( './fixtures/column_major_lower.json' );
+var offsetsU = require( './fixtures/column_major_upper_offsets.json' );
+var offsetsL = require( './fixtures/column_major_lower_offsets.json' );
+var negativeStridesU = require( './fixtures/column_major_upper_negative_strides.json' );
+var negativeStridesL = require( './fixtures/column_major_lower_negative_strides.json' );
+var largeStridesU = require( './fixtures/column_major_upper_large_strides.json' );
+var largeStridesL = require( './fixtures/column_major_lower_large_strides.json' );
+var fixtureU1 = require( './fixtures/column_major_upper_n1.json' );
+var fixtureL1 = require( './fixtures/column_major_lower_n1.json' );
+var fixtureU5 = require( './fixtures/column_major_upper_n5.json' );
+var fixtureL5 = require( './fixtures/column_major_lower_n5.json' );
+var roundingU = require( './fixtures/column_major_upper_rounding.json' );
+var roundingL = require( './fixtures/column_major_lower_rounding.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof ndarray, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 11', function test( t ) {
+ t.strictEqual( ndarray.length, 11, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function throws an error if provided an invalid first argument', function test( t ) {
+ var values;
+ var AP;
+ var S;
+ var i;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'row-major-invalid',
+ 123,
+ true,
+ null,
+ void 0,
+ {}
+ ];
+
+ AP = new Float64Array( 6 );
+ S = new Float64Array( 3 );
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ ndarray( value, 'upper', 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid second argument', function test( t ) {
+ var values;
+ var AP;
+ var S;
+ var i;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'upper-invalid',
+ 123,
+ true,
+ null,
+ void 0,
+ {}
+ ];
+
+ AP = new Float64Array( 6 );
+ S = new Float64Array( 3 );
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ ndarray( 'column-major', value, 3, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid third argument', function test( t ) {
+ var values;
+ var AP;
+ var S;
+ var i;
+
+ values = [
+ -1,
+ -2,
+ -3,
+ -100
+ ];
+
+ AP = new Float64Array( 6 );
+ S = new Float64Array( 3 );
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ ndarray( 'column-major', 'upper', value, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid fifth argument (strideAP === 0)', function test( t ) {
+ var AP;
+ var S;
+
+ AP = new Float64Array( 6 );
+ S = new Float64Array( 3 );
+
+ t.throws( function badValue() {
+ ndarray( 'column-major', 'upper', 3, AP, 0, 0, S, 1, 0, 0.0125, 6.0 );
+ }, RangeError );
+ t.end();
+});
+
+tape( 'the function throws an error if provided an invalid eighth argument (strideS === 0)', function test( t ) {
+ var AP;
+ var S;
+
+ AP = new Float64Array( 6 );
+ S = new Float64Array( 3 );
+
+ t.throws( function badValue() {
+ ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 0, 0, 0.0125, 6.0 );
+ }, RangeError );
+ t.end();
+});
+
+tape( 'the function equilibrates a real symmetric matrix stored in packed format (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = fixtureU.N;
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ equed = ndarray( 'column-major', 'upper', N, AP, fixtureU.strideAP, fixtureU.offsetAP, S, fixtureU.strideS, fixtureU.offsetS, fixtureU.scond, fixtureU.amax );
+ t.strictEqual( equed, fixtureU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a real symmetric matrix stored in packed format (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = fixtureL.N;
+ AP = new Float64Array( fixtureL.AP );
+ S = new Float64Array( fixtureL.S );
+
+ expectedAP = new Float64Array( fixtureL.AP_out );
+
+ equed = ndarray( 'column-major', 'lower', N, AP, fixtureL.strideAP, fixtureL.offsetAP, S, fixtureL.strideS, fixtureL.offsetS, fixtureL.scond, fixtureL.amax );
+ t.strictEqual( equed, fixtureL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a matrix of order one (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU1.AP );
+ S = new Float64Array( fixtureU1.S );
+
+ expectedAP = new Float64Array( fixtureU1.AP_out );
+
+ equed = ndarray( 'column-major', 'upper', fixtureU1.N, AP, fixtureU1.strideAP, fixtureU1.offsetAP, S, fixtureU1.strideS, fixtureU1.offsetS, fixtureU1.scond, fixtureU1.amax );
+ t.strictEqual( equed, fixtureU1.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a matrix of order one (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureL1.AP );
+ S = new Float64Array( fixtureL1.S );
+
+ expectedAP = new Float64Array( fixtureL1.AP_out );
+
+ equed = ndarray( 'column-major', 'lower', fixtureL1.N, AP, fixtureL1.strideAP, fixtureL1.offsetAP, S, fixtureL1.strideS, fixtureL1.offsetS, fixtureL1.scond, fixtureL1.amax );
+ t.strictEqual( equed, fixtureL1.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a higher-order matrix (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU5.AP );
+ S = new Float64Array( fixtureU5.S );
+
+ expectedAP = new Float64Array( fixtureU5.AP_out );
+
+ equed = ndarray( 'column-major', 'upper', fixtureU5.N, AP, fixtureU5.strideAP, fixtureU5.offsetAP, S, fixtureU5.strideS, fixtureU5.offsetS, fixtureU5.scond, fixtureU5.amax );
+ t.strictEqual( equed, fixtureU5.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates a higher-order matrix (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureL5.AP );
+ S = new Float64Array( fixtureL5.S );
+
+ expectedAP = new Float64Array( fixtureL5.AP_out );
+
+ equed = ndarray( 'column-major', 'lower', fixtureL5.N, AP, fixtureL5.strideAP, fixtureL5.offsetAP, S, fixtureL5.strideS, fixtureL5.offsetS, fixtureL5.scond, fixtureL5.amax );
+ t.strictEqual( equed, fixtureL5.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function preserves the reference evaluation order when scaling (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( roundingU.AP );
+ S = new Float64Array( roundingU.S );
+
+ expectedAP = new Float64Array( roundingU.AP_out );
+
+ // Note: every entry of this fixture distinguishes the LAPACK evaluation order `AP*(CJ*S(I))` from `(CJ*AP)*S(I)`, which differ by one ULP...
+ equed = ndarray( 'column-major', 'upper', roundingU.N, AP, roundingU.strideAP, roundingU.offsetAP, S, roundingU.strideS, roundingU.offsetS, roundingU.scond, roundingU.amax );
+ t.strictEqual( equed, roundingU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function preserves the reference evaluation order when scaling (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( roundingL.AP );
+ S = new Float64Array( roundingL.S );
+
+ expectedAP = new Float64Array( roundingL.AP_out );
+
+ equed = ndarray( 'column-major', 'lower', roundingL.N, AP, roundingL.strideAP, roundingL.offsetAP, S, roundingL.strideS, roundingL.offsetS, roundingL.scond, roundingL.amax );
+ t.strictEqual( equed, roundingL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function does not modify the vector of scale factors', function test( t ) {
+ var expectedS;
+ var AP;
+ var S;
+
+ AP = new Float64Array( largeStridesU.AP );
+ S = new Float64Array( largeStridesU.S );
+
+ expectedS = new Float64Array( largeStridesU.S );
+
+ ndarray( 'column-major', 'upper', largeStridesU.N, AP, largeStridesU.strideAP, largeStridesU.offsetAP, S, largeStridesU.strideS, largeStridesU.offsetS, largeStridesU.scond, largeStridesU.amax );
+ t.strictEqual( isSameFloat64Array( S, expectedS ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports providing offsets (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = offsetsU.N;
+ AP = new Float64Array( offsetsU.AP );
+ S = new Float64Array( offsetsU.S );
+
+ expectedAP = new Float64Array( offsetsU.AP_out );
+
+ equed = ndarray( 'column-major', 'upper', N, AP, offsetsU.strideAP, offsetsU.offsetAP, S, offsetsU.strideS, offsetsU.offsetS, offsetsU.scond, offsetsU.amax );
+ t.strictEqual( equed, offsetsU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports providing offsets (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = offsetsL.N;
+ AP = new Float64Array( offsetsL.AP );
+ S = new Float64Array( offsetsL.S );
+
+ expectedAP = new Float64Array( offsetsL.AP_out );
+
+ equed = ndarray( 'column-major', 'lower', N, AP, offsetsL.strideAP, offsetsL.offsetAP, S, offsetsL.strideS, offsetsL.offsetS, offsetsL.scond, offsetsL.amax );
+ t.strictEqual( equed, offsetsL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports positive strides (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = largeStridesU.N;
+ AP = new Float64Array( largeStridesU.AP );
+ S = new Float64Array( largeStridesU.S );
+
+ expectedAP = new Float64Array( largeStridesU.AP_out );
+
+ equed = ndarray( 'column-major', 'upper', N, AP, largeStridesU.strideAP, largeStridesU.offsetAP, S, largeStridesU.strideS, largeStridesU.offsetS, largeStridesU.scond, largeStridesU.amax );
+ t.strictEqual( equed, largeStridesU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports positive strides (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = largeStridesL.N;
+ AP = new Float64Array( largeStridesL.AP );
+ S = new Float64Array( largeStridesL.S );
+
+ expectedAP = new Float64Array( largeStridesL.AP_out );
+
+ equed = ndarray( 'column-major', 'lower', N, AP, largeStridesL.strideAP, largeStridesL.offsetAP, S, largeStridesL.strideS, largeStridesL.offsetS, largeStridesL.scond, largeStridesL.amax );
+ t.strictEqual( equed, largeStridesL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports negative strides (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = negativeStridesU.N;
+ AP = new Float64Array( negativeStridesU.AP );
+ S = new Float64Array( negativeStridesU.S );
+
+ expectedAP = new Float64Array( negativeStridesU.AP_out );
+
+ equed = ndarray( 'column-major', 'upper', N, AP, negativeStridesU.strideAP, negativeStridesU.offsetAP, S, negativeStridesU.strideS, negativeStridesU.offsetS, negativeStridesU.scond, negativeStridesU.amax );
+ t.strictEqual( equed, negativeStridesU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports negative strides (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = negativeStridesL.N;
+ AP = new Float64Array( negativeStridesL.AP );
+ S = new Float64Array( negativeStridesL.S );
+
+ expectedAP = new Float64Array( negativeStridesL.AP_out );
+
+ equed = ndarray( 'column-major', 'lower', N, AP, negativeStridesL.strideAP, negativeStridesL.offsetAP, S, negativeStridesL.strideS, negativeStridesL.offsetS, negativeStridesL.scond, negativeStridesL.amax );
+ t.strictEqual( equed, negativeStridesL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports row-major layout (upper triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = fixtureL.N;
+ AP = new Float64Array( fixtureL.AP );
+ S = new Float64Array( fixtureL.S );
+
+ expectedAP = new Float64Array( fixtureL.AP_out );
+
+ equed = ndarray( 'row-major', 'upper', N, AP, 1, 0, S, 1, 0, fixtureL.scond, fixtureL.amax );
+ t.strictEqual( equed, fixtureL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports row-major layout (lower triangle)', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+ var N;
+
+ N = fixtureU.N;
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ equed = ndarray( 'row-major', 'lower', N, AP, 1, 0, S, 1, 0, fixtureU.scond, fixtureU.amax );
+ t.strictEqual( equed, fixtureU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports row-major layout when provided offsets', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( offsetsL.AP );
+ S = new Float64Array( offsetsL.S );
+
+ expectedAP = new Float64Array( offsetsL.AP_out );
+
+ // Note: row-major upper uses lower triangle column-major values/logic:
+ equed = ndarray( 'row-major', 'upper', offsetsL.N, AP, offsetsL.strideAP, offsetsL.offsetAP, S, offsetsL.strideS, offsetsL.offsetS, offsetsL.scond, offsetsL.amax );
+ t.strictEqual( equed, offsetsL.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports row-major layout when provided negative strides', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( negativeStridesU.AP );
+ S = new Float64Array( negativeStridesU.S );
+
+ expectedAP = new Float64Array( negativeStridesU.AP_out );
+
+ // Note: row-major lower uses upper triangle column-major values/logic:
+ equed = ndarray( 'row-major', 'lower', negativeStridesU.N, AP, negativeStridesU.strideAP, negativeStridesU.offsetAP, S, negativeStridesU.strideS, negativeStridesU.offsetS, negativeStridesU.scond, negativeStridesU.amax );
+ t.strictEqual( equed, negativeStridesU.equed_out, 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns \'N\' when N is 0', function test( t ) {
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( 0 );
+ S = new Float64Array( 0 );
+
+ equed = ndarray( 'column-major', 'upper', 0, AP, 1, 0, S, 1, 0, 0.0125, 6.0 );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns \'N\' and does not modify the matrix when equilibration is not needed', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ S = new Float64Array( [ 1.0, 1.0, 1.0 ] );
+
+ expectedAP = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+
+ equed = ndarray( 'column-major', 'upper', 3, AP, 1, 0, S, 1, 0, 0.5, 6.0 );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns \'N\' and does not modify the matrix when `scond` equals the scaling threshold', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP );
+
+ // Note: the LAPACK reference implementation only scales when `scond` is strictly less than `0.1`...
+ equed = ndarray( 'column-major', 'upper', fixtureU.N, AP, 1, 0, S, 1, 0, 0.1, fixtureU.amax );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates the matrix when `scond` is less than the scaling threshold', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ equed = ndarray( 'column-major', 'upper', fixtureU.N, AP, 1, 0, S, 1, 0, 0.09999999999999999, fixtureU.amax );
+ t.strictEqual( equed, 'Y', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates the matrix when `amax` is too small, even if `scond` is greater than or equal to the scaling threshold', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ // Note: `1.0e-300` is less than `dlamch( 'Safe minimum' ) / dlamch( 'Precision' )`, meaning that the matrix is close to underflow...
+ equed = ndarray( 'column-major', 'upper', fixtureU.N, AP, 1, 0, S, 1, 0, 0.5, 1.0e-300 );
+ t.strictEqual( equed, 'Y', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function equilibrates the matrix when `amax` is too large, even if `scond` is greater than or equal to the scaling threshold', function test( t ) {
+ var expectedAP;
+ var equed;
+ var AP;
+ var S;
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ expectedAP = new Float64Array( fixtureU.AP_out );
+
+ // Note: `1.0e300` is greater than `dlamch( 'Precision' ) / dlamch( 'Safe minimum' )`, meaning that the matrix is close to overflow...
+ equed = ndarray( 'column-major', 'upper', fixtureU.N, AP, 1, 0, S, 1, 0, 0.5, 1.0e300 );
+ t.strictEqual( equed, 'Y', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns \'N\' when `amax` equals the underflow and overflow thresholds', function test( t ) {
+ var expectedAP;
+ var large;
+ var small;
+ var equed;
+ var AP;
+ var S;
+
+ small = dlamch( 'Safe minimum' ) / dlamch( 'Precision' );
+ large = 1.0 / small;
+
+ expectedAP = new Float64Array( fixtureU.AP );
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ equed = ndarray( 'column-major', 'upper', fixtureU.N, AP, 1, 0, S, 1, 0, 0.5, small );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+
+ AP = new Float64Array( fixtureU.AP );
+ S = new Float64Array( fixtureU.S );
+
+ equed = ndarray( 'column-major', 'upper', fixtureU.N, AP, 1, 0, S, 1, 0, 0.5, large );
+ t.strictEqual( equed, 'N', 'returns expected value' );
+ t.strictEqual( isSameFloat64Array( AP, expectedAP ), true, 'returns expected value' );
+
+ t.end();
+});