feat: add number/float16/base/assert/is-almost-same-value

lib/node_modules/@stdlib/number/float16/base/assert/is-almost-same-value/README.md

@@ -0,0 +1,136 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 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.
+
+-->
+
+# isAlmostSameValue
+
+> Test if two half-precision floating-point numbers are approximately the same value within a specified number of ULPs (units in the last place).
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var isAlmostSameValue = require( '@stdlib/number/float16/base/assert/is-almost-same-value' );
+```
+
+#### isAlmostSameValue( a, b, maxULP )
+
+Tests if two half-precision floating-point numbers are approximately the same value within a specified number of ULPs (units in the last place).
+
+```javascript
+var EPS = require( '@stdlib/constants/float16/eps' );
+
+var bool = isAlmostSameValue( 1.0, 1.0+EPS, 1 );
+// returns true
+
+bool = isAlmostSameValue( 1.0, 1.0+EPS, 0 );
+// returns false
+```
+
+In contrast to the strict equality operator `===`, the function distinguishes between `+0` and `-0` and treats `NaNs` as the same value.
+
+```javascript
+var bool = isAlmostSameValue( NaN, 1.0, 1 );
+// returns false
+
+bool = isAlmostSameValue( 1.0, NaN, 1 );
+// returns false
+
+bool = isAlmostSameValue( NaN, NaN, 1 );
+// returns true
+
+bool = isAlmostSameValue( 0.0, -0.0, 0 );
+// returns false
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   The function implements the [SameValue Algorithm][ecma-262-same-value-algorithm] as specified in ECMAScript 5.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var EPS = require( '@stdlib/constants/float16/eps' );
+var isAlmostSameValue = require( '@stdlib/number/float16/base/assert/is-almost-same-value' );
+
+var bool = isAlmostSameValue( 1.0, 1.0+EPS, 1 );
+console.log( bool );
+// => true
+
+bool = isAlmostSameValue( 1.0+EPS, 1.0, 1 );
+console.log( bool );
+// => true
+
+bool = isAlmostSameValue( 1.0, 1.0+EPS+EPS, 1 );
+console.log( bool );
+// => false
+
+bool = isAlmostSameValue( 1.0, 1.0+EPS, 0 );
+console.log( bool );
+// => false
+
+bool = isAlmostSameValue( -0.0, 0.0, 0 );
+console.log( bool );
+// => false
+
+bool = isAlmostSameValue( 1.0, NaN, 1 );
+console.log( bool );
+// => false
+
+bool = isAlmostSameValue( NaN, NaN, 1 );
+console.log( bool );
+// => true
+```
+
+</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">
+
+[ecma-262-same-value-algorithm]: http://ecma-international.org/ecma-262/5.1/#sec-9.12
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/number/float16/base/assert/is-almost-same-value/benchmark/benchmark.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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 isBoolean = require( '@stdlib/assert/is-boolean' ).isPrimitive;
+var pkg = require( './../package.json' ).name;
+var isAlmostSameValue = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var values;
+	var bool;
+	var v;
+	var i;
+
+	values = [
+		5.0,
+		3.14,
+		NaN,
+		-0.0,
+		0.0,
+		-1.0
+	];
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		v = values[ i%values.length ];
+		bool = isAlmostSameValue( v, v, 1 );
+		if ( typeof bool !== 'boolean' ) {
+			b.fail( 'should return a boolean' );
+		}
+	}
+	b.toc();
+	if ( !isBoolean( bool ) ) {
+		b.fail( 'should return a boolean' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/number/float16/base/assert/is-almost-same-value/docs/repl.txt

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+{{alias}}( a, b, maxULP )
+    Tests if two half-precision floating-point numbers are approximately the
+    same value within a specified number of ULPs (units in the last place).
+
+    The function differs from the `===` operator in that the function treats
+    `-0` and `+0` as distinct and `NaNs` as the same.
+
+    Parameters
+    ----------
+    a: number
+        First input value.
+
+    b: number
+        Second input value.
+
+    maxULP: number
+        Maximum allowed ULP difference.
+
+    Returns
+    -------
+    bool: boolean
+        Boolean indicating whether two half-precision floating-point numbers
+        are approximately the same value within a specified number of ULPs.
+
+    Examples
+    --------
+    > var bool = {{alias}}( 1, 1+{{alias:@stdlib/constants/float16/eps}}, 1 )
+    true
+    > bool = {{alias}}( 1+{{alias:@stdlib/constants/float16/eps}}, 1, 1 )
+    true
+    > bool = {{alias}}( 1, 1+{{alias:@stdlib/constants/float16/eps}}*2, 1 )
+    false
+    > bool = {{alias}}( 0.0, -0.0, 0 )
+    false
+    > bool = {{alias}}( NaN, 1.0, 1 )
+    false
+    > bool = {{alias}}( NaN, NaN, 0 )
+    true
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/number/float16/base/assert/is-almost-same-value/docs/types/index.d.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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
+
+/**
+* Tests if two half-precision floating-point numbers are approximately the same value within a specified number of ULPs (units in the last place).
+*
+* ## Notes
+*
+* -   The function differs from the `===` operator in that the function treats `-0` and `+0` as distinct and `NaNs` as the same.
+*
+* @param a - first input value
+* @param b - second input value
+* @param maxULP - maximum allowed ULP difference
+* @returns boolean indicating whether two half-precision floating-point numbers are approximately the same value within a specified number of ULPs
+*
+* @example
+* var EPS = require( '@stdlib/constants/float16/eps' );
+*
+* var bool = isAlmostSameValue( 1.0, 1.0+EPS, 1 );
+* // returns true
+*
+* bool = isAlmostSameValue( 1.0+EPS, 1.0, 1 );
+* // returns true
+*
+* bool = isAlmostSameValue( 1.0, 1.0+EPS+EPS, 1 );
+* // returns false
+*
+* bool = isAlmostSameValue( 1.0, 1.0+EPS, 0 );
+* // returns false
+*
+* bool = isAlmostSameValue( 0.0, -0.0, 0 );
+* // returns false
+*
+* bool = isAlmostSameValue( 1.0, NaN, 1 );
+* // returns false
+*
+* bool = isAlmostSameValue( NaN, NaN, 1 );
+* // returns true
+*/
+declare function isAlmostSameValue( a: number, b: number, maxULP: number ): boolean;
+
+
+// EXPORTS //
+
+export = isAlmostSameValue;

lib/node_modules/@stdlib/number/float16/base/assert/is-almost-same-value/docs/types/test.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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 isAlmostSameValue = require( './index' );
+
+
+// TESTS //
+
+// The function returns a boolean...
+{
+	isAlmostSameValue( 3.14, 3.14, 1 ); // $ExpectType boolean
+}
+
+// The compiler throws an error if the function is not provided a first argument which is a number...
+{
+	isAlmostSameValue( '5', 3.14, 1 ); // $ExpectError
+	isAlmostSameValue( true, 3.14, 1 ); // $ExpectError
+	isAlmostSameValue( false, 3.14, 1 ); // $ExpectError
+	isAlmostSameValue( null, 3.14, 1 ); // $ExpectError
+	isAlmostSameValue( void 0, 3.14, 1 ); // $ExpectError
+	isAlmostSameValue( [], 3.14, 1 ); // $ExpectError
+	isAlmostSameValue( {}, 3.14, 1 ); // $ExpectError
+	isAlmostSameValue( ( x: number ): number => x, 3.14, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is not provided a second argument which is a number...
+{
+	isAlmostSameValue( 3.14, '5', 1 ); // $ExpectError
+	isAlmostSameValue( 3.14, true, 1 ); // $ExpectError
+	isAlmostSameValue( 3.14, false, 1 ); // $ExpectError
+	isAlmostSameValue( 3.14, null, 1 ); // $ExpectError
+	isAlmostSameValue( 3.14, void 0, 1 ); // $ExpectError
+	isAlmostSameValue( 3.14, [], 1 ); // $ExpectError
+	isAlmostSameValue( 3.14, {}, 1 ); // $ExpectError
+	isAlmostSameValue( 3.14, ( x: number ): number => x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is not provided a third argument which is a number...
+{
+	isAlmostSameValue( 3.14, 3.14, '5' ); // $ExpectError
+	isAlmostSameValue( 3.14, 3.14, true ); // $ExpectError
+	isAlmostSameValue( 3.14, 3.14, false ); // $ExpectError
+	isAlmostSameValue( 3.14, 3.14, null ); // $ExpectError
+	isAlmostSameValue( 3.14, 3.14, void 0 ); // $ExpectError
+	isAlmostSameValue( 3.14, 3.14, [] ); // $ExpectError
+	isAlmostSameValue( 3.14, 3.14, {} ); // $ExpectError
+	isAlmostSameValue( 3.14, 3.14, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	isAlmostSameValue(); // $ExpectError
+	isAlmostSameValue( 3.14 ); // $ExpectError
+	isAlmostSameValue( 3.14, 3.14 ); // $ExpectError
+	isAlmostSameValue( 3.14, 3.14, 1, 2 ); // $ExpectError
+}