feat: add math/base/special/fast/gelu-quick

lib/node_modules/@stdlib/math/base/special/fast/gelu-quick/README.md

@@ -0,0 +1,217 @@
+<!--
+
+@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.
+
+-->
+
+# geluQuick
+
+> Evaluate the [Gaussian error linear unit][activation-function] (GELU) using a quick 1.702 approximation.
+
+<section class="intro">
+
+The [Gaussian error linear unit][activation-function] (GELU) using a quick 1.702 approximation is defined as:
+
+<!-- <equation class="equation" label="eq:gelu_quick" align="center" raw="\mathrm{gelu}(x) \approx x \cdot \operatorname{expit}( 1.702 \, x )" alt="GELU quick approximation."> -->
+
+```math
+\mathrm{gelu}(x) \approx x \cdot \operatorname{expit}( 1.702 \, x )
+```
+
+<!-- </equation> -->
+
+where $\operatorname{expit}(x)$ is the [standard logistic function][logistic-function].
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var geluQuick = require( '@stdlib/math/base/special/fast/gelu-quick' );
+```
+
+#### geluQuick( x )
+
+Evaluates the Gaussian Error Linear Unit (GELU) activation function using a quick 1.702 approximation.
+
+```javascript
+var v = geluQuick( 0.0 );
+// returns 0.0
+
+v = geluQuick( 1.0 );
+// returns ~0.8458
+
+v = geluQuick( -Infinity );
+// returns -0.0
+
+v = geluQuick( Infinity );
+// returns Infinity
+
+v = geluQuick( NaN );
+// returns NaN
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var geluQuick = require( '@stdlib/math/base/special/fast/gelu-quick' );
+
+var opts = {
+    'dtype': 'float64'
+};
+var x = uniform( 100, -5.0, 5.0, opts );
+
+logEachMap( 'geluQuick(%0.4f) = %0.4f', x, geluQuick );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- C interface documentation. -->
+
+* * *
+
+<section class="c">
+
+## C APIs
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- C usage documentation. -->
+
+<section class="usage">
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/fast/gelu_quick.h"
+```
+
+#### stdlib_base_fast_gelu_quick( x )
+
+Evaluates the Gaussian Error Linear Unit (GELU) activation function using a quick 1.702 approximation.
+
+```c
+double y = stdlib_base_fast_gelu_quick( 1.0 );
+// returns ~0.8458
+```
+
+The function accepts the following arguments:
+
+-   **x**: `[in] double` input value.
+
+```c
+double stdlib_base_fast_gelu_quick( const double x );
+```
+
+</section>
+
+<!-- /.usage -->
+
+<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+</section>
+
+<!-- /.notes -->
+
+<!-- C API usage examples. -->
+
+<section class="examples">
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/fast/gelu_quick.h"
+#include <stdio.h>
+
+int main( void ) {
+    const double x[] = { -5.0, -3.89, -2.78, -1.67, -0.56, 0.56, 1.67, 2.78, 3.89, 5.0 };
+
+    double v;
+    int i;
+    for ( i = 0; i < 10; i++ ) {
+        v = stdlib_base_fast_gelu_quick( x[ i ] );
+        printf( "gelu_quick(%lf) = %lf\n", x[ i ], v );
+    }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+* * *
+
+## See Also
+
+-   <span class="package-name">[`@stdlib/math/base/special/expit`][@stdlib/math/base/special/expit]</span><span class="delimiter">: </span><span class="description">evaluate the standard logistic function.</span>
+-   <span class="package-name">[`@stdlib/math/base/special/fast/gelu-tanh`][@stdlib/math/base/special/fast/gelu-tanh]</span><span class="delimiter">: </span><span class="description">evaluate the Gaussian Error Linear Unit (GELU) activation function using a tanh approximation.</span>
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[activation-function]: https://en.wikipedia.org/wiki/Activation_function
+
+[logistic-function]: https://en.wikipedia.org/wiki/Logistic_function
+
+<!-- <related-links> -->
+
+[@stdlib/math/base/special/expit]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/expit
+
+[@stdlib/math/base/special/fast/gelu-tanh]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/fast/gelu-tanh
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/math/base/special/fast/gelu-quick/benchmark/benchmark.js

@@ -0,0 +1,52 @@
+/**
+* @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 isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var geluQuick = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -5.0, 5.0 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = geluQuick( x[ i % x.length ] );
+		if ( isnan( y ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/math/base/special/fast/gelu-quick/benchmark/benchmark.native.js

@@ -0,0 +1,62 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var geluQuick = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( geluQuick instanceof Error )
+};
+
+
+// MAIN //
+
+bench( format( '%s::native', pkg ), opts, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -5.0, 5.0 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = geluQuick( x[ i % x.length ] );
+		if ( isnan( y ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});