feat: add number/int32/base/muldw

Ref: #2261

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Author: gururaj1512

lib/node_modules/@stdlib/number/int32/base/muldw/README.md

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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2018 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.
+
+-->
+
+# imuldw
+
+> Compute the double word product of two signed 32-bit integers.
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var imuldw = require( '@stdlib/number/int32/base/muldw' );
+```
+
+#### imuldw( a, b )
+
+Multiplies two signed 32-bit integers and returns an `array` of two signed 32-bit integers which represents the signed 64-bit integer product.
+
+```javascript
+var v = imuldw( 1, 10 );
+// returns [ 0, 10 ]
+
+v = imuldw( 0x80000000|0, 0x40000000|0 ); // -(2^31) * 2^30 = -2305843009213694000 => 32-bit integer overflow
+// returns [ -536870912, 0 ]
+```
+
+#### imuldw.assign( a, b, out, stride, offset )
+
+Multiplies two signed 32-bit integers and assigns results representing the signed 64-bit integer product to a provided output array.
+
+```javascript
+var out = [ 0, 0 ];
+
+var v = imuldw.assign( 1, 10, out, 1, 0 );
+// returns [ 0, 10 ]
+
+var bool = ( v === out );
+// returns true
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   When computing the product of 32-bit integer values in double-precision floating-point format (the default JavaScript numeric data type), computing the double word product is necessary in order to **avoid** exceeding the [maximum safe double-precision floating-point integer value][@stdlib/constants/float64/max-safe-integer].
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var lpad = require( '@stdlib/string/left-pad' );
+var imuldw = require( '@stdlib/number/int32/base/muldw' );
+
+var i;
+var j;
+var y;
+
+for ( i = 0x7FFFFFF0; i < 0x7FFFFFFF; i++ ) {
+    for ( j = i; j < 0x7FFFFFFF; j++) {
+        y = imuldw( i|0, j|0 );
+        console.log( '%d x %d = 0x%s%s', i|0, j|0, lpad( ( y[0] >>> 0 ).toString( 16 ), 8, '0'), lpad( ( y[1] >>> 0 ).toString( 16 ), 8, '0' ) );
+    }
+}
+```
+
+</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/int32/base/mul`][@stdlib/number/int32/base/mul]</span><span class="delimiter">: </span><span class="description">perform C-like multiplication of two signed 32-bit integers.</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">
+
+[@stdlib/constants/float64/max-safe-integer]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/constants/float64/max-safe-integer
+
+<!-- <related-links> -->
+
+[@stdlib/number/int32/base/mul]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/number/int32/base/mul
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/number/int32/base/muldw/benchmark/benchmark.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 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 minstd = require( '@stdlib/random/base/minstd' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var imuldw = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = minstd();
+		y = imuldw( x, x );
+		if ( isnan( y[ 0 ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[ 1 ] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+':assign', function benchmark( b ) {
+	var out;
+	var x;
+	var y;
+	var i;
+
+	out = [ 0.0, 0.0 ];
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = minstd();
+		y = imuldw.assign( x, x, out, 1, 0 );
+		if ( isnan( y[ 0 ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y[ 1 ] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/number/int32/base/muldw/docs/repl.txt

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+
+{{alias}}( a, b )
+    Multiplies two signed 32-bit integers and returns an array of two signed 32-
+    bit integers which represents the signed 64-bit integer product.
+
+    When computing the product of 32-bit integer values in double-precision
+    floating-point format (the default JavaScript numeric data type), computing
+    the double word product is necessary in order to avoid exceeding the maximum
+    safe double-precision floating-point integer value.
+
+    Parameters
+    ----------
+    a: integer
+        Signed 32-bit integer.
+
+    b: integer
+        Signed 32-bit integer.
+
+    Returns
+    -------
+    out: Array<number>
+        Double word product (in big endian order; i.e., the first element
+        corresponds to the most significant bits and the second element to the
+        least significant bits).
+
+    Examples
+    --------
+    > var v = {{alias}}( 1, 10 )
+    [ 0, 10 ]
+
+
+{{alias}}.assign( a, b, out, stride, offset )
+    Multiplies two signed 32-bit integers and assigns results representing the
+    signed 64-bit integer product to a provided output array.
+
+    When computing the product of 32-bit integer values in double-precision
+    floating-point format (the default JavaScript numeric data type), computing
+    the double word product is necessary in order to avoid exceeding the maximum
+    safe double-precision floating-point integer value.
+
+    Parameters
+    ----------
+    a: integer
+        Signed 32-bit integer.
+
+    b: integer
+        Signed 32-bit integer.
+
+    out: Array|TypedArray|Object
+        Output array.
+
+    stride: integer
+        Output array stride.
+
+    offset: integer
+        Output array index offset.
+
+    Returns
+    -------
+    out: Array|TypedArray|Object
+        Double word product (in big endian order; i.e., the first element
+        corresponds to the most significant bits and the second element to the
+        least significant bits).
+
+    Examples
+    --------
+    > var out = [ 0, 0 ];
+    > var v = {{alias}}.assign( 1, 10, out, 1, 0 )
+    [ 0, 10 ]
+    > var bool = ( v === out )
+    true
+
+    See Also
+    --------

lib/node_modules/@stdlib/number/int32/base/muldw/docs/types/index.d.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2019 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
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Interface describing `imuldw`.
+*/
+interface Imuldw {
+	/**
+	* Performs multiplication of two signed 32-bit integers and returns an array of two signed 32-bit integers which represents the signed 64-bit integer product.
+	*
+	* ## Notes
+	*
+	* -   When computing the product of 32-bit integer values in double-precision floating-point format (the default JavaScript numeric data type), computing the double word product is necessary in order to avoid exceeding the maximum safe double-precision floating-point integer value.
+	*
+	* @param a - integer
+	* @param b - integer
+	* @returns output array
+	*
+	* @example
+	* var v = imuldw( 0xAAAAAAAA, 0x55555555 );
+	* // returns [ -477218589, 1908874354 ]
+	*/
+	( a: number, b: number ): Array<number>;
+
+	/**
+	* Performs multiplication of two signed 32-bit integers and returns an array of two signed 32-bit integers which represents the signed 64-bit integer product.
+	*
+	* ## Notes
+	*
+	* -   When computing the product of 32-bit integer values in double-precision floating-point format (the default JavaScript numeric data type), computing the double word product is necessary in order to avoid exceeding the maximum safe double-precision floating-point integer value.
+	*
+	* @param a - integer
+	* @param b - integer
+	* @param out - output array
+	* @param stride - output array stride
+	* @param offset - output array index offset
+	* @returns output array
+	*
+	* @example
+	* var v = imuldw( 0xAAAAAAAA, 0x55555555 );
+	* // returns [ -477218589, 1908874354 ]
+	*/
+	assign<T = unknown>( a: number, b: number, out: Collection<T>, stride: number, offset: number ): Collection<T | number>;
+}
+
+/**
+* Performs multiplication of two signed 32-bit integers and returns an array of two signed 32-bit integers which represents the signed 64-bit integer product.
+*
+* ## Notes
+*
+* -   When computing the product of 32-bit integer values in double-precision floating-point format (the default JavaScript numeric data type), computing the double word product is necessary in order to avoid exceeding the maximum safe double-precision floating-point integer value.
+*
+* @param a - integer
+* @param b - integer
+* @returns output array
+*
+* @example
+* var v = imuldw( 0xAAAAAAAA, 0x55555555 );
+* // returns [ -477218589, 1908874354 ]
+*/
+declare var imuldw: Imuldw;
+
+
+// EXPORTS //
+
+export = imuldw;