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<!-- | ||
@license Apache-2.0 | ||
Copyright (c) 2025 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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# icamax | ||
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> Finds the index of the first element having maximum |Re(.)| + |Im(.)|. | ||
<section class="usage"> | ||
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## Usage | ||
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```javascript | ||
var icamax = require( '@stdlib/blas/base/icamax' ); | ||
``` | ||
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#### icamax( N, cx, strideX ) | ||
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Finds the index of the first element having maximum |Re(.)| + |Im(.)|. | ||
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```javascript | ||
var Complex64Array = require( '@stdlib/array/complex64' ); | ||
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var cx = new Complex64Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] ); | ||
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var icx = icamax( cx.length, cx, 1 ); | ||
// returns 1 | ||
``` | ||
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The function has the following parameters: | ||
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- **N**: number of indexed elements. | ||
- **cx**: input [`Complex64Array`][@stdlib/array/complex64]. | ||
- **strideX**: index increment for `cx`. | ||
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The `N` and `strideX` parameters determine which elements in `cx` are accessed at runtime. For example, to traverse every other value, | ||
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```javascript | ||
var Complex64Array = require( '@stdlib/array/complex64' ); | ||
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var cx = new Complex64Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] ); | ||
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var icx = icamax( 2, cx, 2 ); | ||
// returns 1 | ||
``` | ||
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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 | ||
var Complex64Array = require( '@stdlib/array/complex64' ); | ||
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// Initial array: | ||
var cx0 = new Complex64Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] ); | ||
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// Create an offset view: | ||
var cx1 = new Complex64Array( cx0.buffer, cx0.BYTES_PER_ELEMENT*1 ); // start at 2nd element | ||
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// Find index of element having the maximum absolute value: | ||
var icx = icamax( 2, cx1, 1 ); | ||
// returns 1 | ||
``` | ||
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#### icamax.ndarray( N, cx, strideX, offset ) | ||
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Finds the index of the first element having maximum |Re(.)| + |Im(.)| using alternative indexing semantics. | ||
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```javascript | ||
var Complex64Array = require( '@stdlib/array/complex64' ); | ||
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var cx = new Complex64Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] ); | ||
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var icx = icamax.ndarray( cx.length, cx, 1, 0 ); | ||
// returns 1 | ||
``` | ||
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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 | ||
var Complex64Array = require( '@stdlib/array/complex64' ); | ||
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var cx = new Complex64Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0, 7.0, -8.0 ] ); | ||
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var icx = icamax.ndarray( 3, cx, 1, 1 ); | ||
// returns 2 | ||
``` | ||
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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`. | ||
- `icamax()` corresponds to the [BLAS][blas] level 1 function [`icamax`][icamax]. | ||
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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 discreteUniform = require( '@stdlib/random/base/discrete-uniform' ); | ||
var filledarrayBy = require( '@stdlib/array/filled-by' ); | ||
var complex64 = require( '@stdlib/complex/float32/ctor' ); | ||
var icamax = require( '@stdlib/blas/base/icamax' ); | ||
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function rand() { | ||
return new complex64( discreteUniform( 0, 10 ), discreteUniform( -5, 5 ) ); | ||
} | ||
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// Generate random input arrays: | ||
var cx = filledarrayBy( 10, 'complex64', rand ); | ||
console.log( cx.toString() ); | ||
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var icx = icamax( cx.length, cx, 1 ); | ||
console.log( icx ); | ||
``` | ||
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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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[icamax]: https://netlib.org/lapack/explore-html/d0/da5/izamax_8f.html | ||
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[@stdlib/array/complex64]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/complex64 | ||
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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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{{alias}}( N, cx, strideX ) | ||
Finds the index of the first element having maximum |Re(.)| + |Im(.)|. | ||
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The `N` and `strideX` parameters determine which elements in `cx` are | ||
accessed at runtime. | ||
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Indexing is relative to the first index. To introduce an offset, use typed | ||
array views. | ||
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If `N < 1`, the function returns `-1`. | ||
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Parameters | ||
---------- | ||
N: integer | ||
Number of indexed elements. | ||
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cx: Complex64Array | ||
Input array. | ||
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strideX: integer | ||
Index increment for `cx`. | ||
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Returns | ||
------- | ||
icx: integer | ||
Index value. | ||
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Examples | ||
-------- | ||
// Standard Usage: | ||
> var cx; | ||
> cx = new {{alias:@stdlib/array/complex64}}( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0 ] ); | ||
> var icx = {{alias}}( cx.length, cx, 1 ) | ||
1 | ||
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// Using `N` and `strideX` parameters: | ||
> cx = new {{alias:@stdlib/array/complex64}}( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0 ] ); | ||
> icx = {{alias}}( 2, cx, 2 ) | ||
1 | ||
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// Using view offsets: | ||
> var cx0 = new {{alias:@stdlib/array/complex64}}( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] ); | ||
> var cx1 = new {{alias:@stdlib/array/complex64}}( cx0.buffer, cx0.BYTES_PER_ELEMENT*1 ); | ||
> icx = {{alias}}( 2, cx1, 1 ) | ||
1 | ||
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{{alias}}.ndarray( N, cx, strideX, offsetX ) | ||
Finds the index of the first element having the maximum absolute value using | ||
alternative indexing semantics. | ||
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While typed array views mandate a view offset based on the underlying | ||
buffer, the `offsetX` parameter supports indexing semantics based on a | ||
starting index. | ||
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Parameters | ||
---------- | ||
N: integer | ||
Number of indexed elements. | ||
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cx: Complex64Array | ||
Input array. | ||
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strideX: integer | ||
Index increment for `cx`. | ||
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offsetX: integer | ||
Starting index of `cx`. | ||
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Returns | ||
------- | ||
icx: integer | ||
Index value. | ||
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Examples | ||
-------- | ||
// Standard Usage: | ||
> var cx; | ||
> cx = new {{alias:@stdlib/array/complex64}}( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0 ] ); | ||
> var icx = {{alias}}.ndarray( cx.length, cx, 1, 0 ) | ||
1 | ||
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// Using an index offset: | ||
> cx = new {{alias:@stdlib/array/complex64}}( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] ); | ||
> icx = {{alias}}.ndarray( 2, cx, 1, 1 ) | ||
1 | ||
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See Also | ||
-------- | ||
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lib/node_modules/@stdlib/blas/base/icamax/docs/types/index.d.ts
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/* | ||
* @license Apache-2.0 | ||
* | ||
* Copyright (c) 2025 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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// TypeScript Version: 4.1 | ||
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/// <reference types="@stdlib/types"/> | ||
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import { Complex64Array } from '@stdlib/types/array'; | ||
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/** | ||
* Interface describing `icamax`. | ||
*/ | ||
interface Routine { | ||
/** | ||
* Finds the index of the first element having maximum |Re(.)| + |Im(.)|. | ||
* | ||
* @param N - number of indexed elements | ||
* @param cx - input array | ||
* @param strideX - stride length for `cx` | ||
* @returns index value | ||
* | ||
* @example | ||
* var Complex64Array = require( '@stdlib/array/complex64' ); | ||
* | ||
* var cx = new Complex64Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] ); | ||
* | ||
* var icx = icamax( cx.length, cx, 1 ); | ||
* // returns 1 | ||
*/ | ||
( N: number, zx: Complex64Array, strideX: number ): number; | ||
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/** | ||
* Finds the index of the first element having maximum |Re(.)| + |Im(.)| using alternative indexing semantics. | ||
* | ||
* @param N - number of indexed elements | ||
* @param cx - input array | ||
* @param strideX - stride length for `zx` | ||
* @param offsetX - starting index for `zx` | ||
* @returns index value | ||
* | ||
* @example | ||
* var Complex64Array = require( '@stdlib/array/complex64' ); | ||
* | ||
* var cx = new Complex64Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] ); | ||
* | ||
* var icx = icamax.ndarray( cx.length, cx, 1, 0 ); | ||
* // returns 1 | ||
*/ | ||
ndarray( N: number, zx: Complex64Array, strideX: number, offsetX: number ): number; | ||
} | ||
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/** | ||
* Finds the index of the first element having maximum |Re(.)| + |Im(.)| | ||
* | ||
* @param N - number of indexed elements | ||
* @param zx - input array | ||
* @param strideX - stride length for `cx` | ||
* @returns index value | ||
* | ||
* @example | ||
* var Complex64Array = require( '@stdlib/array/complex64' ); | ||
* | ||
* var cx = new Complex64Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] ); | ||
* | ||
* var icx = icamax( cx.length, cx, 1 ); | ||
* // returns 1 | ||
* | ||
* @example | ||
* var Complex64Array = require( '@stdlib/array/complex64' ); | ||
* | ||
* var cx = new Complex64Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] ); | ||
* | ||
* var icx = icamax.ndarray( cx.length, cx, 1, 0 ); | ||
* // returns 1 | ||
*/ | ||
declare var icamax: Routine; | ||
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// EXPORTS // | ||
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export = icamax; |
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