feat: add math/base/special/cexpf

lib/node_modules/@stdlib/math/base/special/cexpf/README.md

@@ -0,0 +1,229 @@
+<!--
+
+@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.
+
+-->
+
+# expf
+
+> Evaluate the [exponential][exponential-function] function for a single-precision complex floating-point number.
+
+<section class="intro">
+
+The [exponential][exponential-function] function of a complex number is defined as
+
+<!-- <equation class="equation" label="eq:cexp_function" align="center" raw="\operatorname{exp}(z) = e^{x + i y} = (\exp{x}) (\cos(y) + i \sin(y))" alt="Complex exponential function"> -->
+
+```math
+\mathop{\mathrm{exp}}(z) = e^{x + i y} = (\exp{x}) (\cos(y) + i \sin(y))
+```
+
+<!-- <div class="equation" align="center" data-raw-text="\operatorname{exp}(z) = e^{x + i y} = (\exp{x}) (\cos(y) + i \sin(y))" data-equation="eq:cexp_function">
+    <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@d4edb68b52a6c646be5683023c5a24890300727f/lib/node_modules/@stdlib/math/base/special/cexp/docs/img/equation_cexp_function.svg" alt="Complex exponential function">
+    <br>
+</div> -->
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var cexpf = require( '@stdlib/math/base/special/cexpf' );
+```
+
+#### cexpf( z )
+
+Evaluates the [exponential][exponential-function] function for a single-precision complex floating-point number.
+
+```javascript
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+
+var v = cexpf( new Complex64( 0.0, 0.0 ) );
+// returns <Complex64>[ 1.0, 0.0 ]
+
+v = cexpf( new Complex64( 0.0, 1.0 ) );
+// returns <Complex64>[ ~0.540, ~0.841 ]
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var discreteUniform = require( '@stdlib/random/base/discrete-uniform' );
+var cexpf = require( '@stdlib/math/base/special/cexpf' );
+
+function randomComplex() {
+    var re = discreteUniform( -50, 50 );
+    var im = discreteUniform( -50, 50 );
+    return new Complex64( re, im );
+}
+
+var z1;
+var z2;
+var i;
+for ( i = 0; i < 100; i++ ) {
+    z1 = randomComplex();
+    z2 = cexpf( z1 );
+    console.log( 'cexpf(%s) = %s', z1.toString(), z2.toString() );
+}
+```
+
+</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/cexpf.h"
+```
+
+#### stdlib_base_cexpf( z )
+
+Evaluates the [exponential][exponential-function] function for a single-precision complex floating-point number.
+
+```c
+#include "stdlib/complex/float32/ctor.h"
+#include "stdlib/complex/float32/real.h"
+#include "stdlib/complex/float32/imag.h"
+
+stdlib_complex64_t z = stdlib_complex64( 0.0f, 0.0f );
+stdlib_complex64_t out = stdlib_base_cexpf( z );
+
+float re = stdlib_complex64_real( out );
+// returns 1.0f
+
+float im = stdlib_complex64_imag( out );
+// returns 0.0f
+```
+
+The function accepts the following arguments:
+
+-   **z**: `[in] stdlib_complex64_t` input value.
+
+```c
+stdlib_complex64_t stdlib_base_cexpf( const stdlib_complex64_t z );
+```
+
+</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/cexpf.h"
+#include "stdlib/complex/float32/ctor.h"
+#include "stdlib/complex/float32/reim.h"
+#include <stdio.h>
+
+int main( void ) {
+    const stdlib_complex64_t x[] = {
+        stdlib_complex64( 3.14f, 1.5f ),
+        stdlib_complex64( -3.14f, -1.5f ),
+        stdlib_complex64( 0.0f, 0.0f ),
+        stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
+    };
+
+    stdlib_complex64_t v;
+    stdlib_complex64_t y;
+    float re1;
+    float im1;
+    float re2;
+    float im2;
+    int i;
+    for ( i = 0; i < 4; i++ ) {
+        v = x[ i ];
+        y = stdlib_base_cexpf( v );
+        stdlib_complex64_reim( v, &re1, &im1 );
+        stdlib_complex64_reim( y, &re2, &im2 );
+        printf( "cexpf(%f + %fi) = %f + %fi\n", re1, im1, re2, im2 );
+    }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[exponential-function]: https://en.wikipedia.org/wiki/Exponential_function
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/math/base/special/cexpf/benchmark/benchmark.js

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+/**
+* @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/base/uniform' );
+var format = require( '@stdlib/string/format' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var realf = require( '@stdlib/complex/float32/real' );
+var imagf = require( '@stdlib/complex/float32/imag' );
+var pkg = require( './../package.json' ).name;
+var cexpf = require( './../lib' );
+
+
+// MAIN //
+
+bench( format( '%s', pkg ), function benchmark( b ) {
+	var values;
+	var y;
+	var i;
+
+	values = [
+		new Complex64( uniform( -50.0, 50.0 ), uniform( -50.0, 50.0 ) ),
+		new Complex64( uniform( -50.0, 50.0 ), uniform( -50.0, 50.0 ) )
+	];
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = cexpf( values[ i%values.length ] );
+		if ( typeof y !== 'object' ) {
+			b.fail( 'should return a complex number' );
+		}
+	}
+	b.toc();
+	if ( isnanf( realf( y ) ) || isnanf( imagf( y ) ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/math/base/special/cexpf/benchmark/benchmark.native.js

@@ -0,0 +1,68 @@
+/**
+* @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/base/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var realf = require( '@stdlib/complex/float32/real' );
+var imagf = require( '@stdlib/complex/float32/imag' );
+var format = require( '@stdlib/string/format' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var cexpf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( cexpf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( format( '%s::native', pkg ), opts, function benchmark( b ) {
+	var values;
+	var y;
+	var i;
+
+	values = [
+		new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) ),
+		new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) )
+	];
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = cexpf( values[ i%values.length ] );
+		if ( typeof y !== 'object' ) {
+			b.fail( 'should return a complex number' );
+		}
+	}
+	b.toc();
+	if ( isnanf( realf( y ) ) || isnanf( imagf( y ) ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});