feat: add number/float16/base/to-binary-string

PR-URL: #8575
Co-authored-by: Athan Reines <kgryte@gmail.com>
Reviewed-by: Athan Reines <kgryte@gmail.com>

Author: gururaj1512

lib/node_modules/@stdlib/number/float16/base/to-binary-string/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.
+
+-->
+
+# toBinaryString
+
+> Return a string giving the literal bit representation of a [half-precision floating-point number][ieee754].
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' );
+```
+
+#### toBinaryString( x )
+
+Returns a string giving the literal bit representation of a [half-precision floating-point number][ieee754].
+
+```javascript
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+
+var str = toBinaryString( toFloat16( 4.0 ) );
+// returns '0100010000000000'
+
+str = toBinaryString( toFloat16( 3.1415926 ) );
+// returns '0100001001001000'
+
+str = toBinaryString( toFloat16( -1.0e3 ) );
+// returns '1110001111010000'
+```
+
+The function handles [subnormals][subnormals].
+
+```javascript
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+
+var str = toBinaryString( toFloat16( -3.14e-6 ) );
+// returns '1000000000110101'
+
+str = toBinaryString( toFloat16( 1.4e-7 ) );
+// returns '0000000000000010'
+```
+
+The function handles special values.
+
+```javascript
+var PINF = require( '@stdlib/constants/float16/pinf' );
+var NINF = require( '@stdlib/constants/float16/ninf' );
+
+var str = toBinaryString( 0.0 );
+// returns '0000000000000000'
+
+str = toBinaryString( -0.0 );
+// returns '1000000000000000'
+
+str = toBinaryString( NaN );
+// returns '0111111000000000'
+
+str = toBinaryString( PINF );
+// returns '0111110000000000'
+
+str = toBinaryString( NINF );
+// returns '1111110000000000'
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var randu = require( '@stdlib/random/base/randu' );
+var round = require( '@stdlib/math/base/special/round' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var float64ToFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' );
+
+var frac;
+var sign;
+var exp;
+var b;
+var x;
+var i;
+
+// Convert random numbers to literal bit representations...
+for ( i = 0; i < 100; i++ ) {
+    if ( randu() < 0.5 ) {
+        sign = -1.0;
+    } else {
+        sign = 1.0;
+    }
+    frac = randu() * 10.0;
+    exp = round( randu()*10.0 );
+    if ( randu() < 0.5 ) {
+        exp = -exp;
+    }
+    x = sign * frac * pow( 2.0, exp );
+    x = float64ToFloat16( x );
+    b = toBinaryString( x );
+    console.log( b );
+}
+```
+
+</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_754-2008
+
+[subnormals]: https://en.wikipedia.org/wiki/Denormal_number
+
+<!-- <related-links> -->
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/number/float16/base/to-binary-string/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 isString = require( '@stdlib/assert/is-string' ).isPrimitive;
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var map = require( '@stdlib/array/base/map' );
+var naryFunction = require( '@stdlib/utils/nary-function' );
+var pkg = require( './../package.json' ).name;
+var toBinaryString = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = map( uniform( 100, -5.0e4, 5.0e4 ), naryFunction( toFloat16, 1 ) );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = toBinaryString( x[ i%x.length ] );
+		if ( typeof y !== 'string' ) {
+			b.fail( 'should return a string' );
+		}
+	}
+	b.toc();
+	if ( !isString( y ) ) {
+		b.fail( 'should return a string' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/repl.txt

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+
+{{alias}}( x )
+    Returns a string giving the literal bit representation of a half-precision
+    floating-point number.
+
+    Parameters
+    ----------
+    x: float
+        Half-precision floating-point number.
+
+    Returns
+    -------
+    str: string
+        Bit representation.
+
+    Examples
+    --------
+    > var str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( 4.0 ) )
+    '0100010000000000'
+    > str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( 3.1415926 ) )
+    '0100001001001000'
+    > str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( -1.0e3 ) )
+    '1110001111010000'
+    > str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( -3.14e-6 ) )
+    '1000000000110101'
+    > str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( 1.4e-7 ) )
+    '0000000000000010'
+    > str = {{alias}}( 0.0 )
+    '0000000000000000'
+    > str = {{alias}}( -0.0 )
+    '1000000000000000'
+    > str = {{alias}}( NaN )
+    '0111111000000000'
+    > str = {{alias}}( {{alias:@stdlib/constants/float16/pinf}} )
+    '0111110000000000'
+    > str = {{alias}}( {{alias:@stdlib/constants/float16/ninf}} )
+    '1111110000000000'
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/number/float16/base/to-binary-string/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
+
+/**
+* Returns a string giving the literal bit representation of a half-precision floating-point number.
+*
+* @param x - input value
+* @returns bit representation
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( 4.0 ) );
+* // returns '0100010000000000'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( 3.1415926 ) );
+* // returns '0100001001001000'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( -1.0e3 ) );
+* // returns '1110001111010000'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( -3.14e-6 ) );
+* // returns '1000000000110101'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( 1.4e-7 ) );
+* // returns '0000000000000010'
+*
+* @example
+* var str = toBinaryString( 0.0 );
+* // returns '0000000000000000'
+*
+* @example
+* var str = toBinaryString( -0.0 );
+* // returns '1000000000000000'
+*
+* @example
+* var str = toBinaryString( NaN );
+* // returns '0111111000000000'
+*
+* @example
+* var PINF = require( '@stdlib/constants/float16/pinf' );
+*
+* var str = toBinaryString( PINF );
+* // returns '0111110000000000'
+*
+* @example
+* var NINF = require( '@stdlib/constants/float16/ninf' );
+*
+* var str = toBinaryString( NINF );
+* // returns '1111110000000000'
+*/
+declare function toBinaryString( x: number ): string;
+
+
+// EXPORTS //
+
+export = toBinaryString;

lib/node_modules/@stdlib/number/float16/base/to-binary-string/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 toBinaryString = require( './index' );
+
+
+// TESTS //
+
+// The function returns a string...
+{
+	toBinaryString( 0.0 ); // $ExpectType string
+	toBinaryString( -0.0 ); // $ExpectType string
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+	toBinaryString( true ); // $ExpectError
+	toBinaryString( false ); // $ExpectError
+	toBinaryString( 'abc' ); // $ExpectError
+	toBinaryString( [] ); // $ExpectError
+	toBinaryString( {} ); // $ExpectError
+	toBinaryString( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	toBinaryString(); // $ExpectError
+}