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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2025 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.
+
+-->
+
+# cpolarf
+
+> Compute the [absolute value][@stdlib/math/base/special/cabsf] and [phase][@stdlib/math/base/special/cphasef] of a single-precision complex floating-point number.
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var cpolarf = require( '@stdlib/math/base/special/cpolarf' );
+```
+
+#### cpolarf( z )
+
+Computes the [absolute value][@stdlib/math/base/special/cabsf] and [phase][@stdlib/math/base/special/cphasef] of a single-precision complex floating-point number.
+
+```javascript
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+
+var o = cpolarf( new Complex64( 5.0, 3.0 ) );
+// returns [ ~5.83, ~0.5404 ]
+```
+
+#### cpolarf.assign( z, out, stride, offset )
+
+Computes the [absolute value][@stdlib/math/base/special/cabsf] and [phase][@stdlib/math/base/special/cphasef] of a single-precision complex floating-point number and assigns results to a provided output array.
+
+```javascript
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var Float32Array = require( '@stdlib/array/float32' );
+
+var out = new Float32Array( 2 );
+
+var v = cpolarf.assign( new Complex64( 5.0, 3.0 ), out, 1, 0 );
+// returns <Float32Array>[ ~5.83, ~0.5404 ]
+
+var bool = ( v === out );
+// returns true
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Complex64Array = require( '@stdlib/array/complex64' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var cpolarf = require( '@stdlib/math/base/special/cpolarf' );
+
+// Create an array of random numbers:
+var arr = new Complex64Array( uniform( 200, -100.0, 100.0 ) );
+
+// Compute the polar form of each number in the array:
+logEachMap( 'cpolarf(%s) = [%s]', arr, cpolarf );
+```
+
+</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/cpolarf.h"
+```
+
+#### stdlib_base_cpolarf( z, cabsf, cphasef )
+
+Computes the [absolute value][@stdlib/math/base/special/cabsf] and [phase][@stdlib/math/base/special/cphasef] of 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( 5.0f, 3.0f );
+float cabsf;
+float cphasef;
+stdlib_base_cpolarf( z, &cabsf, &cphasef );
+```
+
+The function accepts the following arguments:
+
+- **z**: `[in] stdlib_complex64_t` input value.
+- **cabsf**: `[out] float*` destination for the absolute value.
+- **cphasef**: `[out] float*` destination for the phase value in radians.
+
+```c
+void stdlib_base_cpolarf( const stdlib_complex64_t z, float *cabsf, float *cphasef );
+```
+
+</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/cpolarf.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, 1.0f ),
+stdlib_complex64( -3.14f, -1.0f ),
+stdlib_complex64( 0.0f, 0.0f ),
+stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
+};
+
+float cphasef;
+float cabsf;
+float re;
+float im;
+int i;
+for ( i = 0; i < 4; i++ ) {
+stdlib_base_cpolarf( x[i], &cabsf, &cphasef );
+stdlib_complex64_reim( x[i], &re, &im );
+printf( "cpolarf(%f + %fi) => cabsf: %f, cphasef: %f\n", re, im, cabsf, cphasef );
+}
+}
+```
+
+</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">
+
+[@stdlib/math/base/special/cabsf]: https://.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cabsf
+
+[@stdlib/math/base/special/cphasef]: https://.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cphasef
+
+<!-- <related-links> -->
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->

@@ -0,0 +1,65 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 isFloat32Array = require( '@stdlib/assert/is-float32array' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var cpolarf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+'skip': ( cpolarf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', 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 = cpolarf( values[ i%values.length ] );
+if ( y.length === 0 ) {
+b.fail( 'should not be empty' );
+}
+}
+b.toc();
+if ( !isFloat32Array( y ) ) {
+b.fail( 'should return a Float32Array' );
+}
+b.pass( 'benchmark finished' );
+b.end();
+});