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<!-- | ||
@license Apache-2.0 | ||
Copyright (c) 2024 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. | ||
--> | ||
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# slacpy | ||
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> Copy all or part of a matrix `A` to another matrix `B`. | ||
<section class = "usage"> | ||
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## Usage | ||
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```javascript | ||
var slacpy = require( '@stdlib/lapack/base/slacpy' ); | ||
``` | ||
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#### slacpy( order, uplo, M, N, A, LDA, B, LDB ) | ||
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Copies all or part of a matrix `A` to another matrix `B`. | ||
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```javascript | ||
var Float32Array = require( '@stdlib/array/float32' ); | ||
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var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0 ] ); | ||
var B = new Float32Array( 4 ); | ||
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slacpy( 'row-major', 'all', 2, 2, A, 2, B, 2 ); | ||
// B => <Float32Array>[ 1.0, 2.0, 3.0, 4.0 ] | ||
``` | ||
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The function has the following parameters: | ||
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- **order**: storage layout. | ||
- **uplo**: specifies whether to copy the upper or lower triangular/trapezoidal part of a matrix `A`. | ||
- **M**: number of rows in `A`. | ||
- **N**: number of columns in `A`. | ||
- **A**: input [`Float32Array`][mdn-Float32Array]. | ||
- **LDA**: stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`). | ||
- **B**: output [`Float32Array`][mdn-Float32Array]. | ||
- **LDB**: stride of the first dimension of `B` (a.k.a., leading dimension of the matrix `B`). | ||
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Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. | ||
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<!-- eslint-disable stdlib/capitalized-comments --> | ||
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```javascript | ||
var Float32Array = require( '@stdlib/array/float32' ); | ||
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// Initial arrays... | ||
var A0 = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] ); | ||
var B0 = new Float32Array( 5 ); | ||
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// Create offset views... | ||
var A1 = new Float32Array( A0.buffer, A0.BYTES_PER_ELEMENT*1 ); // start at 2nd element | ||
var B1 = new Float32Array( B0.buffer, B0.BYTES_PER_ELEMENT*1 ); // start at 2nd element | ||
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slacpy( 'row-major', 'all', 2, 2, A1, 2, B1, 2 ); | ||
// B0 => <Float32Array>[ 0.0, 2.0, 3.0, 4.0, 5.0 ] | ||
``` | ||
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#### slacpy.ndarray( uplo, M, N, A, sa1, sa2, oa, B, sb1, sb2, ob ) | ||
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Copies all or part of a matrix `A` to another matrix `B` using alternative indexing semantics. | ||
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```javascript | ||
var Float32Array = require( '@stdlib/array/float32' ); | ||
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var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0 ] ); | ||
var B = new Float32Array( [ 0.0, 0.0, 0.0, 0.0 ] ); | ||
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slacpy.ndarray( 'all', 2, 2, A, 2, 1, 0, B, 2, 1, 0 ); | ||
// B => <Float32Array>[ 1.0, 2.0, 3.0, 4.0 ] | ||
``` | ||
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The function has the following parameters: | ||
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- **uplo**: specifies whether to copy the upper or lower triangular/trapezoidal part of a matrix `A`. | ||
- **M**: number of rows in `A`. | ||
- **N**: number of columns in `A`. | ||
- **A**: input [`Float32Array`][mdn-Float32Array]. | ||
- **sa1**: stride of the first dimension of `A`. | ||
- **sa2**: stride of the second dimension of `A`. | ||
- **oa**: starting index for `A`. | ||
- **B**: output [`Float32Array`][mdn-Float32Array]. | ||
- **sb1**: stride of the first dimension of `B`. | ||
- **sb2**: stride of the second dimension of `B`. | ||
- **ob**: starting index for `B`. | ||
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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 | ||
var Float32Array = require( '@stdlib/array/float32' ); | ||
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var A = new Float32Array( [ 0.0, 1.0, 2.0, 3.0, 4.0 ] ); | ||
var B = new Float32Array( [ 0.0, 0.0, 11.0, 312.0, 53.0, 412.0 ] ); | ||
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slacpy.ndarray( 'all', 2, 2, A, 2, 1, 1, B, 2, 1, 2 ); | ||
// B => <Float32Array>[ 0.0, 0.0, 1.0, 2.0, 3.0, 4.0 ] | ||
``` | ||
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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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- `slacpy()` corresponds to the [LAPACK][lapack] routine [`slacpy`][lapack-slacpy]. | ||
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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 | ||
var ndarray2array = require( '@stdlib/ndarray/base/to-array' ); | ||
var uniform = require( '@stdlib/random/array/discrete-uniform' ); | ||
var numel = require( '@stdlib/ndarray/base/numel' ); | ||
var shape2strides = require( '@stdlib/ndarray/base/shape2strides' ); | ||
var slacpy = require( '@stdlib/lapack/base/slacpy' ); | ||
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var shape = [ 5, 8 ]; | ||
var order = 'row-major'; | ||
var strides = shape2strides( shape, order ); | ||
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var N = numel( shape ); | ||
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var A = uniform( N, -10, 10, { | ||
'dtype': 'float32' | ||
}); | ||
console.log( ndarray2array( A, shape, strides, 0, order ) ); | ||
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var B = uniform( N, -10, 10, { | ||
'dtype': 'float32' | ||
}); | ||
console.log( ndarray2array( B, shape, strides, 0, order ) ); | ||
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slacpy( order, 'all', shape[ 0 ], shape[ 1 ], A, strides[ 0 ], B, strides[ 0 ] ); | ||
console.log( ndarray2array( B, shape, strides, 0, order ) ); | ||
``` | ||
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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 | ||
TODO | ||
``` | ||
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#### TODO | ||
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TODO. | ||
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```c | ||
TODO | ||
``` | ||
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TODO | ||
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```c | ||
TODO | ||
``` | ||
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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 | ||
TODO | ||
``` | ||
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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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[lapack]: https://www.netlib.org/lapack/explore-html/ | ||
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[lapack-slacpy]: https://www.netlib.org/lapack/explore-html/d0/d9e/group__lacpy_gae51b1efa5e6cb69029e83a425e773607.html#gae51b1efa5e6cb69029e83a425e773607 | ||
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[mdn-float32array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float32Array | ||
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[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray | ||
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</section> | ||
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<!-- /.links --> |
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lib/node_modules/@stdlib/lapack/base/slacpy/benchmark/benchmark.js
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/** | ||
* @license Apache-2.0 | ||
* | ||
* Copyright (c) 2024 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. | ||
*/ | ||
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'use strict'; | ||
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// MODULES // | ||
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var bench = require( '@stdlib/bench' ); | ||
var uniform = require( '@stdlib/random/array/uniform' ); | ||
var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); | ||
var pow = require( '@stdlib/math/base/special/pow' ); | ||
var floor = require( '@stdlib/math/base/special/floor' ); | ||
var pkg = require( './../package.json' ).name; | ||
var slacpy = require( './../lib/slacpy.js' ); | ||
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// FUNCTIONS // | ||
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/** | ||
* Creates a benchmark function. | ||
* | ||
* @private | ||
* @param {PositiveInteger} N - number of elements along each dimension | ||
* @returns {Function} benchmark function | ||
*/ | ||
function createBenchmark( N ) { | ||
var opts; | ||
var A; | ||
var B; | ||
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opts = { | ||
'dtype': 'float32' | ||
}; | ||
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A = uniform( N*N, -10.0, 10.0, opts ); | ||
B = uniform( N*N, -10.0, 10.0, opts ); | ||
return benchmark; | ||
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/** | ||
* Benchmark function. | ||
* | ||
* @private | ||
* @param {Benchmark} b - benchmark instance | ||
*/ | ||
function benchmark( b ) { | ||
var z; | ||
var i; | ||
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b.tic(); | ||
for ( i = 0; i < b.iterations; i++ ) { | ||
z = slacpy( 'column-major', 'all', N, N, A, N, B, N ); | ||
if ( isnanf( z[ i%z.length ] ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
} | ||
b.toc(); | ||
if ( isnanf( z[ i%z.length ] ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
b.pass( 'benchmark finished' ); | ||
b.end(); | ||
} | ||
} | ||
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// MAIN // | ||
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/** | ||
* Main execution sequence. | ||
* | ||
* @private | ||
*/ | ||
function main() { | ||
var min; | ||
var max; | ||
var N; | ||
var f; | ||
var i; | ||
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min = 1; // 10^min | ||
max = 6; // 10^max | ||
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for ( i = min; i <= max; i++ ) { | ||
N = floor( pow( pow( 10, i ), 1.0/2.0 ) ); | ||
f = createBenchmark( N ); | ||
bench( pkg+':order=column-major,size='+(N*N), f ); | ||
} | ||
} | ||
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main(); |
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