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

- Add function to create half-precision floating-point numbers from IEEE 754 literal bit representations
- Implement main conversion logic with proper handling of sign, exponent, and fraction bits
- Add helper function to convert fraction bit sequences to numeric values
- Include comprehensive test suite covering special values, normal numbers, subnormals, and round-trip conversions
- Add TypeScript definitions and type tests
- Include documentation with usage examples
- Add benchmark and examples files
- Follows same structure and logic as float32/from-binary-string

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Author: Erennn7

lib/node_modules/@stdlib/number/float16/base/from-binary-string/README.md

@@ -0,0 +1,178 @@
+<!--
+
+@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.
+
+-->
+
+# From Binary String
+
+> Create a [half-precision floating-point number][ieee754] from an [IEEE 754 literal bit representation][@stdlib/number/float16/base/to-binary-string].
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var fromBinaryString = require( '@stdlib/number/float16/base/from-binary-string' );
+```
+
+#### fromBinaryString( bstr )
+
+Creates a [half-precision floating-point number][ieee754] from an [IEEE 754 literal bit representation][@stdlib/number/float16/base/to-binary-string].
+
+```javascript
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+
+var bstr = '0100010000000000';
+var v = fromBinaryString( bstr );
+// returns 4.0
+
+bstr = '0100001001001000';
+v = fromBinaryString( bstr );
+// returns ~3.140625
+
+bstr = '1110001111010000';
+v = fromBinaryString( bstr );
+// returns -1000.0
+```
+
+The function handles [subnormals][subnormals].
+
+```javascript
+var bstr = '1000000000000001';
+var val = fromBinaryString( bstr );
+// returns ~-5.96e-8
+
+bstr = '0000000000000001';
+val = fromBinaryString( bstr );
+// returns ~5.96e-8
+```
+
+The function handles special values.
+
+```javascript
+var bstr = '0000000000000000';
+var val = fromBinaryString( bstr );
+// returns 0.0
+
+bstr = '1000000000000000';
+val = fromBinaryString( bstr );
+// returns -0.0
+
+bstr = '0111111000000000';
+val = fromBinaryString( bstr );
+// returns NaN
+
+bstr = '0111110000000000';
+val = fromBinaryString( bstr );
+// returns Infinity
+
+bstr = '1111110000000000';
+val = fromBinaryString( bstr );
+// returns -Infinity
+```
+
+</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 toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' );
+var fromBinaryString = require( '@stdlib/number/float16/base/from-binary-string' );
+
+var frac;
+var sign;
+var exp;
+var b;
+var x;
+var y;
+var i;
+
+// Convert random numbers to IEEE 754 literal bit representations and then convert them back...
+for ( i = 0; i < 100; i++ ) {
+    if ( randu() < 0.5 ) {
+        sign = -1.0;
+    } else {
+        sign = 1.0;
+    }
+    frac = randu() * 10.0;
+    exp = round( randu()*5.0 );
+    if ( randu() < 0.5 ) {
+        exp = -exp;
+    }
+    x = sign * frac * pow( 2.0, exp );
+    x = toFloat16( x );
+
+    b = toBinaryString( x );
+    y = fromBinaryString( b );
+
+    console.log( '%d => %s => %d', x, b, y );
+    console.log( x === y );
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+* * *
+
+## See Also
+
+-   <span class="package-name">[`@stdlib/number/float16/base/to-binary-string`][@stdlib/number/float16/base/to-binary-string]</span><span class="delimiter">: </span><span class="description">return a string giving the literal bit representation of a half-precision floating-point number.</span>
+-   <span class="package-name">[`@stdlib/number/float32/base/from-binary-string`][@stdlib/number/float32/base/from-binary-string]</span><span class="delimiter">: </span><span class="description">create a single-precision floating-point number from a literal bit representation.</span>
+-   <span class="package-name">[`@stdlib/number/float64/base/from-binary-string`][@stdlib/number/float64/base/from-binary-string]</span><span class="delimiter">: </span><span class="description">create a double-precision floating-point number from a literal bit representation.</span>
+
+</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
+
+[subnormals]: https://en.wikipedia.org/wiki/Denormal_number
+
+[@stdlib/number/float16/base/to-binary-string]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/number/float16/base/to-binary-string
+
+<!-- <related-links> -->
+
+[@stdlib/number/float32/base/from-binary-string]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/number/float32/base/from-binary-string
+
+[@stdlib/number/float64/base/from-binary-string]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/number/float64/base/from-binary-string
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/number/float16/base/from-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 randu = require( '@stdlib/random/base/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var fromBinaryString = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = '101010101010101'+( (randu() < 0.5 ) ? '0' : '1' );
+		y = fromBinaryString( x );
+		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/float16/base/from-binary-string/docs/types/index.d.ts

@@ -0,0 +1,58 @@
+/*
+* @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
+
+/**
+* Creates a half-precision floating-point number from an IEEE 754 literal bit representation.
+*
+* @param bstr - string which is a literal bit representation
+* @throws must provide a string with a length equal to `16`
+* @returns half-precision floating-point number
+*
+* @example
+* var bstr = '0100010000000000';
+* var v = fromBinaryString( bstr );
+* // returns 4.0
+*
+* @example
+* var bstr = '0100001001001000';
+* var v = fromBinaryString( bstr );
+* // returns ~3.140625
+*
+* @example
+* var bstr = '1110001111010000';
+* var v = fromBinaryString( bstr );
+* // returns -1000.0
+*
+* @example
+* var bstr = '0000000000000000';
+* var v = fromBinaryString( bstr );
+* // returns 0.0
+*
+* @example
+* var bstr = '1000000000000000';
+* var v = fromBinaryString( bstr );
+* // returns -0.0
+*/
+declare function fromBinaryString( bstr: string ): number;
+
+
+// EXPORTS //
+
+export = fromBinaryString;

lib/node_modules/@stdlib/number/float16/base/from-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 fromBinaryString = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	fromBinaryString( '0100010000000000' ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a string...
+{
+	fromBinaryString( true ); // $ExpectError
+	fromBinaryString( false ); // $ExpectError
+	fromBinaryString( null ); // $ExpectError
+	fromBinaryString( undefined ); // $ExpectError
+	fromBinaryString( 5 ); // $ExpectError
+	fromBinaryString( [] ); // $ExpectError
+	fromBinaryString( {} ); // $ExpectError
+	fromBinaryString( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	fromBinaryString(); // $ExpectError
+}

lib/node_modules/@stdlib/number/float16/base/from-binary-string/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 randu = require( '@stdlib/random/base/randu' );
+var round = require( '@stdlib/math/base/special/round' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' );
+var fromBinaryString = require( './../lib' );
+
+var frac;
+var sign;
+var exp;
+var b;
+var x;
+var y;
+var i;
+
+// Convert random numbers to IEEE 754 literal bit representations and then convert them back...
+for ( i = 0; i < 100; i++ ) {
+	if ( randu() < 0.5 ) {
+		sign = -1.0;
+	} else {
+		sign = 1.0;
+	}
+	frac = randu() * 10.0;
+	exp = round( randu()*5.0 );
+	if ( randu() < 0.5 ) {
+		exp = -exp;
+	}
+	x = sign * frac * pow( 2.0, exp );
+	x = toFloat16( x );
+
+	b = toBinaryString( x );
+	y = fromBinaryString( b );
+
+	console.log( '%d => %s => %d', x, b, y );
+	console.log( x === y );
+}