feat: add number/float64/base/to-float16

PR-URL: #8207
Co-authored-by: Athan Reines <kgryte@gmail.com>
Reviewed-by: Athan Reines <kgryte@gmail.com>

Author: gururaj1512

lib/node_modules/@stdlib/number/float64/base/to-float16/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.
+
+-->
+
+# toFloat16
+
+> Convert a [double-precision floating-point number][ieee754] to the nearest [half-precision floating-point number][half-precision-floating-point-format].
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var float64ToFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+```
+
+#### float64ToFloat16( x )
+
+Converts a [double-precision floating-point number][ieee754] to the nearest [half-precision floating-point number][ieee754].
+
+```javascript
+var y = float64ToFloat16( 1.337 );
+// returns 1.3369140625
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   This function may be used as a polyfill for the ES2025 built-in [`Math.f16round`][math-f16round].
+
+</section>
+
+<!-- /.notes -->
+
+<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 float64ToFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+
+// Generate an array of random numbers:
+var x = uniform( 100, 0.0, 100.0 );
+
+// Convert each double-precision floating-point number to the nearest half-precision floating-point number:
+logEachMap( 'float64: %f => float16: %f', x, float64ToFloat16 );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- 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">
+
+[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985
+
+[half-precision-floating-point-format]: https://en.wikipedia.org/wiki/Half-precision_floating-point_format
+
+[math-f16round]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/f16round
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/number/float64/base/to-float16/benchmark/benchmark.js

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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.
+*/
+
+'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 float64ToFloat16 = require( './../lib' );
+var polyfill = require( './../lib/polyfill.js' );
+
+
+// VARIABLES //
+
+var opts = {
+	'skip': ( typeof Math.f16round === 'undefined' ) // eslint-disable-line stdlib/no-builtin-math
+};
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -5.0e4, 5.0e4 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = float64ToFloat16( 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();
+});
+
+bench( pkg+'::polyfill', function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -5.0e4, 5.0e4 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = polyfill( 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();
+});
+
+bench( pkg+'::builtin', opts, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = uniform( 100, -5.0e4, 5.0e4 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = Math.f16round( x[ i%x.length ] ); // eslint-disable-line stdlib/no-builtin-math
+		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/number/float64/base/to-float16/docs/repl.txt

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+
+{{alias}}( x )
+    Converts a double-precision floating-point number to the nearest half-
+    precision floating-point number.
+
+    Parameters
+    ----------
+    x: number
+        Double-precision floating-point number.
+
+    Returns
+    -------
+    out: float
+        Nearest half-precision floating-point number.
+
+    Examples
+    --------
+    > var y = {{alias}}( 1.337 )
+    1.3369140625
+
+    See Also
+    --------

lib/node_modules/@stdlib/number/float64/base/to-float16/docs/types/index.d.ts

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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.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Converts a double-precision floating-point number to the nearest half-precision floating-point number.
+*
+* @param x - double-precision floating-point number
+* @returns nearest half-precision floating-point number
+*
+* @example
+* var y = float64ToFloat16( 1.337 );
+* // returns 1.3369140625
+*/
+declare function float64ToFloat16( x: number ): number;
+
+
+// EXPORTS //
+
+export = float64ToFloat16;

lib/node_modules/@stdlib/number/float64/base/to-float16/docs/types/test.ts

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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.
+*/
+
+import float64ToFloat16 = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	float64ToFloat16( 3.14 ); // $ExpectType number
+	float64ToFloat16( 0 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+	float64ToFloat16( true ); // $ExpectError
+	float64ToFloat16( false ); // $ExpectError
+	float64ToFloat16( '5' ); // $ExpectError
+	float64ToFloat16( [] ); // $ExpectError
+	float64ToFloat16( {} ); // $ExpectError
+	float64ToFloat16( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	float64ToFloat16(); // $ExpectError
+}

lib/node_modules/@stdlib/number/float64/base/to-float16/examples/index.js

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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.
+*/
+
+'use strict';
+
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var float64ToFloat16 = require( './../lib' );
+
+// Generate an array of random numbers:
+var x = uniform( 100, 0.0, 100.0 );
+
+// Convert each double-precision floating-point number to the nearest half-precision floating-point number:
+logEachMap( 'float64: %f => float16: %f', x, float64ToFloat16 );

lib/node_modules/@stdlib/number/float64/base/to-float16/lib/index.js

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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.
+*/
+
+'use strict';
+
+/**
+* Convert a double-precision floating-point number to the nearest half-precision floating-point number.
+*
+* @module @stdlib/number/float64/base/to-float16
+*
+* @example
+* var float64ToFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var y = float64ToFloat16( 1.337 );
+* // returns 1.3369140625
+*/
+
+// MODULES //
+
+var builtin = require( './main.js' );
+var polyfill = require( './polyfill.js' );
+
+
+// MAIN //
+
+var main;
+if ( typeof builtin === 'function' ) {
+	main = builtin;
+} else {
+	main = polyfill;
+}
+
+
+// EXPORTS //
+
+module.exports = main;