feat: add math/base/special/sincosd

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

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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.
+
+-->
+
+# sincosd
+
+> Simultaneously compute the [sine][@stdlib/math/base/special/sind] and [cosine][@stdlib/math/base/special/cosd] of a number.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var sincosd = require( '@stdlib/math/base/special/sincosd' );
+```
+
+#### sincosd( x )
+
+Simultaneously computes the [sine][@stdlib/math/base/special/sind] and [cosine][@stdlib/math/base/special/cosd] of a `number` (in degrees).
+
+```javascript
+var v = sincosd( 0.0 );
+// returns [ ~0.0, ~1.0 ]
+
+v = sincosd( 90.0 );
+// returns [ ~1.0, ~0.0 ]
+
+v = sincosd( -30.0 );
+// returns [ ~-0.5, ~0.866 ]
+```
+
+#### sincosd.assign( x, out, stride, offset )
+
+Simultaneously computes the [sine][@stdlib/math/base/special/sind] and [cosine][@stdlib/math/base/special/cosd] of a `number` (in degrees) and assigns results to a provided output array.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var out = new Float64Array( 2 );
+
+var v = sincosd.assign( 0.0, out, 1, 0 );
+// returns <Float64Array>[ ~0.0, ~1.0 ]
+
+var bool = ( v === out );
+// returns true
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var sincosd = require( '@stdlib/math/base/special/sincosd' );
+
+var x = linspace( 0.0, 180.0, 100 );
+
+var y;
+var i;
+for ( i = 0; i < x.length; i++ ) {
+    y = sincosd( x[ i ] );
+    console.log( 'sincosd(%d) = [ %d, %d ]', x[ i ], y[ 0 ], y[ 1 ] );
+}
+```
+
+</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/sincosd.h"
+```
+
+#### stdlib_base_sincosd( x, &sine, &cosine )
+
+Simultaneously computes the [sine][@stdlib/math/base/special/sind] and [cosine][@stdlib/math/base/special/cosd] of a `number` (in degrees).
+
+```c
+double cosine;
+double sine;
+
+stdlib_base_sincosd( 4.0, &sine, &cosine );
+```
+
+The function accepts the following arguments:
+
+-   **x**:      `[in] double` input value.
+-   **sine**:   `[out] double*` destination for the sine.
+-   **cosine**: `[out] double*` destination for the cosine.
+
+```c
+void stdlib_base_sincosd( const double x, double *sine, double *cosine );
+```
+
+</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/sincosd.h"
+#include <stdio.h>
+
+int main( void ) {
+    const double x[] = { 0.0, 90.0, 180.0, 360.0 };
+
+    double cosine;
+    double sine;
+    int i;
+    for ( i = 0; i < 4; i++ ) {
+        stdlib_base_sincosd( x[ i ], &sine, &cosine );
+        printf( "x: %lf => sine: %lf, cosine: %lf\n", x[ i ], sine, cosine );
+    }
+}
+```
+
+</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">
+
+<!-- <related-links> -->
+
+[@stdlib/math/base/special/cosd]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cos
+
+[@stdlib/math/base/special/sind]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/sin
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->

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

@@ -0,0 +1,124 @@
+/**
+* @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 bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var sind = require( '@stdlib/math/base/special/sind' );
+var cosd = require( '@stdlib/math/base/special/cosd' );
+var pkg = require( './../package.json' ).name;
+var sincosd = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -10.0, 10.0 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = sincosd( x[ i%x.length ] );
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+'::separate-evaluation', function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -10.0, 10.0 );
+	y = [ 0.0, 0.0 ];
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = [ sind( x[ i%x.length ] ), cosd( x[ i%x.length ] ) ];
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+':assign', function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -10.0, 10.0 );
+	y = [ 0.0, 0.0 ];
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		sincosd.assign( x[ i%x.length ], y, 1, 0 );
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+'::separate-evaluation,in-place', function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -10.0, 10.0 );
+	y = [ 0.0, 0.0 ];
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y[0] = sind( x[ i%x.length ] );
+		y[1] = cosd( x[ i%x.length ] );
+		if ( isnan( y[0] ) || isnan( y[1] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

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

@@ -0,0 +1,61 @@
+/**
+* @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/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var sincosd = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( sincosd instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -10.0, 10.0 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = sincosd( x[ i%x.length ] );
+		if ( isnan( y[ 0 ] ) || isnan( y[ 1 ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[ 0 ] ) || isnan( y[ 1 ] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});