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feat: add lapack/base/dladiv
PR-URL: #7916 Co-authored-by: Athan Reines <[email protected]> Reviewed-by: Athan Reines <[email protected]>
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‎lib/node_modules/@stdlib/lapack/base/dladiv/README.md

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<!--
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@license Apache-2.0
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Copyright (c) 2025 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# dladiv
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> Divide two double-precision complex floating-point numbers in real arithmetic.
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<section class="usage">
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## Usage
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```javascript
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var dladiv = require( '@stdlib/lapack/base/dladiv' );
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```
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#### dladiv( a, b, c, d, P, Q )
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Divides two double-precision complex floating-point numbers in real arithmetic.
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```javascript
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var Float64Array = require( '@stdlib/array/float64' );
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var P = new Float64Array( 1 );
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var Q = new Float64Array( 1 );
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dladiv( -13.0, -1.0, -2.0, 1.0, P, Q );
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// P => <Float64Array>[ 5.0 ]
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// Q => <Float64Array>[ 3.0 ]
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```
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The function has the following parameters:
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- **a**: real component of numerator.
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- **b**: imaginary component of numerator.
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- **c**: real component of denominator.
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- **d**: imaginary component of denominator.
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- **P**: [`Float64Array`][mdn-float64array] containing a single element which is overwritten by the real part of the quotient.
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- **Q**: [`Float64Array`][mdn-float64array] containing a single element which is overwritten by the imaginary part of the quotient.
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#### dladiv.ndarray( a, b, c, d, P, offsetP, Q, offsetQ )
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Divides two double-precision complex floating-point numbers in real arithmetic using alternative indexing semantics.
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```javascript
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var Float64Array = require( '@stdlib/array/float64' );
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var P = new Float64Array( 1 );
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var Q = new Float64Array( 1 );
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dladiv.ndarray( -13.0, -1.0, -2.0, 1.0, P, 0, Q, 0 );
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// P => <Float64Array>[ 5.0 ]
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// Q => <Float64Array>[ 3.0 ]
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```
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The function has the following parameters:
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- **a**: real component of numerator.
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- **b**: imaginary component of numerator.
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- **c**: real component of denominator.
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- **d**: imaginary component of denominator.
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- **P**: [`Float64Array`][mdn-float64array] containing an element which is overwritten by the real part of the quotient.
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- **offsetP**: index of the element in `P`.
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- **Q**: [`Float64Array`][mdn-float64array] containing an element which is overwritten by the imaginary part of the quotient.
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- **offsetQ**: index of the element in `Q`.
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While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example,
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```javascript
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var Float64Array = require( '@stdlib/array/float64' );
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var P = new Float64Array( [ 0.0, 0.0, 0.0 ] );
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var Q = new Float64Array( [ 0.0, 0.0, 0.0 ] );
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dladiv.ndarray( 2.0, 1.0, 3.0, 4.0, P, 1, Q, 2 );
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// P => <Float64Array>[ 0.0, 0.4, 0.0 ]
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// Q => <Float64Array>[ 0.0, 0.0, -0.2 ]
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```
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</section>
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<!-- /.usage -->
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<section class="notes">
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## Notes
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- `dladiv()` corresponds to the [LAPACK][LAPACK] function [`dladiv`][lapack-dladiv].
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</section>
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<!-- /.notes -->
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<section class="examples">
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## Examples
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<!-- eslint no-undef: "error" -->
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```javascript
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var Float64Array = require( '@stdlib/array/float64' );
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var dladiv = require( '@stdlib/lapack/base/dladiv' );
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var P = new Float64Array( 1 );
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var Q = new Float64Array( 1 );
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dladiv( 2.0, 1.0, 3.0, 4.0, P, Q );
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console.log( '(2+i)/(3+4i) =', P[ 0 ], '+', Q[ 0 ], 'i' );
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```
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</section>
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<!-- /.examples -->
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<!-- C interface documentation. -->
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* * *
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<section class="c">
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## C APIs
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<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
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<section class="intro">
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</section>
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<!-- /.intro -->
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<!-- C usage documentation. -->
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<section class="usage">
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### Usage
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```c
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TODO
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```
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#### TODO
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TODO.
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```c
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TODO
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```
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TODO
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```c
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TODO
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```
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</section>
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<!-- /.usage -->
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<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="notes">
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</section>
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<!-- /.notes -->
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<!-- C API usage examples. -->
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<section class="examples">
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### Examples
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```c
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TODO
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```
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</section>
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<!-- /.examples -->
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</section>
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<!-- /.c -->
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<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
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<section class="related">
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</section>
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<!-- /.related -->
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<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="links">
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[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
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[lapack-dladiv]: https://www.netlib.org/lapack/explore-html/d5/db7/group__ladiv_gacbc97eb1922a833ffe257e1731bb0aaa.html
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[mdn-float64array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float64Array
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[lapack]: https://www.netlib.org/lapack/explore-html/
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</section>
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<!-- /.links -->

‎lib/node_modules/@stdlib/lapack/base/dladiv/benchmark/benchmark.js

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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2025 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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// MODULES //
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var bench = require( '@stdlib/bench' );
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var uniform = require( '@stdlib/random/array/uniform' );
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var isnan = require( '@stdlib/math/base/assert/is-nan' );
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var Float64Array = require( '@stdlib/array/float64' );
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var pkg = require( './../package.json' ).name;
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var dladiv = require( './../lib' );
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// VARIABLES //
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var options = {
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'dtype': 'float64'
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};
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// MAIN //
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bench( pkg, function benchmark( b ) {
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var re;
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var im;
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var N;
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var P;
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var Q;
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var i;
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var j;
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var k;
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N = 100;
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re = uniform( N, -500.0, 500.0, options );
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im = uniform( N, -500.0, 500.0, options );
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P = new Float64Array( 1 );
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Q = new Float64Array( 1 );
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b.tic();
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for ( i = 0; i < b.iterations; i++ ) {
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j = i % N;
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k = ( i+1 ) % N;
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dladiv( re[ j ], im[ j ], re[ k ], im[ k ], P, Q );
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if ( isnan( P[ 0 ] ) || isnan( Q[ 0 ] ) ) {
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b.fail( 'should not return NaN' );
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}
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}
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b.toc();
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if ( isnan( P[ 0 ] ) || isnan( Q[ 0 ] ) ) {
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b.fail( 'should not return NaN' );
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}
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b.pass( 'benchmark finished' );
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b.end();
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});

‎lib/node_modules/@stdlib/lapack/base/dladiv/benchmark/benchmark.ndarray.js

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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2025 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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// MODULES //
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var bench = require( '@stdlib/bench' );
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var uniform = require( '@stdlib/random/array/uniform' );
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var isnan = require( '@stdlib/math/base/assert/is-nan' );
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var Float64Array = require( '@stdlib/array/float64' );
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var pkg = require( './../package.json' ).name;
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var dladiv = require( './../lib/ndarray.js' );
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// VARIABLES //
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var options = {
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'dtype': 'float64'
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};
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// MAIN //
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bench( pkg+':ndarray', function benchmark( b ) {
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var re;
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var im;
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var N;
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var P;
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var Q;
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var i;
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var j;
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var k;
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N = 100;
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re = uniform( N, -500.0, 500.0, options );
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im = uniform( N, -500.0, 500.0, options );
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P = new Float64Array( 1 );
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Q = new Float64Array( 1 );
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b.tic();
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for ( i = 0; i < b.iterations; i++ ) {
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j = i % N;
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k = ( i+1 ) % N;
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dladiv( re[ j ], im[ j ], re[ k ], im[ k ], P, 0, Q, 0 );
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if ( isnan( P[ 0 ] ) || isnan( Q[ 0 ] ) ) {
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b.fail( 'should not return NaN' );
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}
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}
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b.toc();
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if ( isnan( P[ 0 ] ) || isnan( Q[ 0 ] ) ) {
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b.fail( 'should not return NaN' );
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}
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b.pass( 'benchmark finished' );
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b.end();
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});

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