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feat: add blas/base/izamax
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‎lib/node_modules/@stdlib/blas/base/izamax/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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# izamax
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> Find the index of the first element having the maximum absolute value.
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<section class="usage">
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## Usage
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```javascript
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var izamax = require( '@stdlib/blas/base/izamax' );
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```
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#### izamax( N, zx, strideX )
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Finds the index of the first element having the maximum absolute value.
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```javascript
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var Complex128Array = require( '@stdlib/array/complex128' );
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var zx = new Complex128Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] );
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var idx = izamax( zx.length, zx, 1 );
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// returns 1
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```
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The function has the following parameters:
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- **N**: number of indexed elements.
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- **zx**: input [`Complex128Array`][@stdlib/array/complex128].
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- **strideX**: index increment for `zx`.
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The `N` and `strideX` parameters determine which elements in `zx` are accessed at runtime. For example, to traverse every other value,
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```javascript
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var Complex128Array = require( '@stdlib/array/complex128' );
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var zx = new Complex128Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] );
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var idx = izamax( 2, zx, 2 );
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// returns 1
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```
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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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```javascript
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var Complex128Array = require( '@stdlib/array/complex128' );
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// Initial array:
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var zx0 = new Complex128Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] );
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// Create an offset view:
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var zx1 = new Complex128Array( zx0.buffer, zx0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
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// Find index of element having the maximum absolute value:
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var idx = izamax( 2, zx1, 1 );
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// returns 1
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```
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#### izamax.ndarray( N, zx, strideX, offset )
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Finds the index of the first element having the maximum absolute value using alternative indexing semantics.
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```javascript
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var Complex128Array = require( '@stdlib/array/complex128' );
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var zx = new Complex128Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] );
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var idx = izamax.ndarray( zx.length, zx, 1, 0 );
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// returns 1
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```
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The function has the following additional parameters:
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- **offsetX**: starting index.
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While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the `offset` parameter supports indexing semantics based on a starting index. For example, to start from the second index,
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```javascript
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var Complex128Array = require( '@stdlib/array/complex128' );
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var zx = new Complex128Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0, 7.0, -8.0 ] );
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var idx = izamax.ndarray( 3, zx, 1, 1 );
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// returns 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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- If `N < 1`, both functions return `-1`.
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- `izamax()` corresponds to the [BLAS][blas] level 1 function [`izamax`][izamax].
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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 discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
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var filledarrayBy = require( '@stdlib/array/filled-by' );
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var Complex128 = require( '@stdlib/complex/float64/ctor' );
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var izamax = require( '@stdlib/blas/base/izamax' );
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function rand() {
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return new Complex128( discreteUniform( 0, 10 ), discreteUniform( -5, 5 ) );
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}
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// Generate random input arrays:
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var zx = filledarrayBy( 10, 'complex128', rand );
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console.log( zx.toString() );
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var idx = izamax( zx.length, zx, 1 );
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console.log( idx );
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```
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</section>
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<!-- /.examples -->
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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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[blas]: http://www.netlib.org/blas
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[izamax]: https://netlib.org/lapack/explore-html/d0/da5/izamax_8f.html
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[@stdlib/array/complex128]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/complex128
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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 -->

‎lib/node_modules/@stdlib/blas/base/izamax/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 pow = require( '@stdlib/math/base/special/pow' );
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var Complex128Array = require( '@stdlib/array/complex128' );
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var pkg = require( './../package.json' ).name;
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var izamax = require( './../lib/izamax.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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// FUNCTIONS //
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/**
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* Create a benchmark function.
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*
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* @private
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* @param {PositiveInteger} len - array length
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* @returns {Function} benchmark function
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*/
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function createBenchmark( len ) {
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var zx;
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zx = new Complex128Array( uniform( len*2, -100.0, 100.0, options ) );
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return benchmark;
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/**
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* Benchmark function.
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*
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* @private
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* @param {Benchmark} b - benchmark instance
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*/
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function benchmark( b ) {
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var idx;
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var i;
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b.tic();
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for ( i = 0; i < b.iterations; i++ ) {
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idx = izamax( zx.length, zx, 1 );
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if ( isnan( idx ) ) {
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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( idx ) ) {
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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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}
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// MAIN //
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/**
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* Main execution sequence.
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*
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* @private
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*/
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function main() {
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var len;
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var min;
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var max;
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var f;
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var i;
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min = 1; // 10^min
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max = 6; // 10^max
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for ( i = min; i <= max; i++ ) {
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len = pow( 10, i );
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f = createBenchmark( len );
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bench( pkg+':len='+len, f );
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}
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}
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main();

‎lib/node_modules/@stdlib/blas/base/izamax/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 pow = require( '@stdlib/math/base/special/pow' );
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var Complex128Array = require( '@stdlib/array/complex128' );
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var pkg = require( './../package.json' ).name;
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var izamax = 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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// FUNCTIONS //
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/**
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* Create a benchmark function.
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*
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* @private
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* @param {PositiveInteger} len - array length
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* @returns {Function} benchmark function
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*/
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function createBenchmark( len ) {
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var zx;
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zx = new Complex128Array( uniform( len*2, -100.0, 100.0, options ) );
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return benchmark;
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/**
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* Benchmark function.
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*
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* @private
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* @param {Benchmark} b - benchmark instance
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*/
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function benchmark( b ) {
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var idx;
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var i;
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b.tic();
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for ( i = 0; i < b.iterations; i++ ) {
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idx = izamax( zx.length, zx, 1, 0 );
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if ( isnan( idx ) ) {
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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( idx ) ) {
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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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}
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// MAIN //
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/**
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* Main execution sequence.
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*
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* @private
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*/
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function main() {
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var len;
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var min;
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var max;
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var f;
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var i;
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min = 1; // 10^min
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max = 6; // 10^max
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for ( i = min; i <= max; i++ ) {
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len = pow( 10, i );
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f = createBenchmark( len );
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bench( pkg+':ndarray:len='+len, f );
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}
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}
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main();

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