@stdlib/blas-base-cscal

Scale a single-precision complex floating-point vector by a single-precision complex floating-point constant.

https://github.com/stdlib-js/blas-base-cscal

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algebra array blas complex complex64 cscal javascript level-1 linear math mathematics ndarray node node-js nodejs scale stdlib subroutines typed vector
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Scale a single-precision complex floating-point vector by a single-precision complex floating-point constant.

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algebra array blas complex complex64 cscal javascript level-1 linear math mathematics ndarray node node-js nodejs scale stdlib subroutines typed vector
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README.md

About stdlib...

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cscal

NPM version Build Status Coverage Status <!-- dependencies -->

Scales a single-precision complex floating-point vector by a single-precision complex floating-point constant.

## Installation ```bash npm install @stdlib/blas-base-cscal ``` Alternatively, - To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]). - If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions). - For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]). The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships. To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
## Usage ```javascript var cscal = require( '@stdlib/blas-base-cscal' ); ``` #### cscal( N, alpha, x, strideX ) Scales values from `x` by `alpha`. ```javascript var Complex64Array = require( '@stdlib/array-complex64' ); var Complex64 = require( '@stdlib/complex-float32-ctor' ); var x = new Complex64Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] ); var alpha = new Complex64( 2.0, 0.0 ); cscal( 3, alpha, x, 1 ); // x => [ 2.0, 2.0, 2.0, 2.0, 2.0, 2.0 ] ``` The function has the following parameters: - **N**: number of indexed elements. - **alpha**: scalar [`Complex64`][@stdlib/complex/float32/ctor] constant. - **x**: input [`Complex64Array`][@stdlib/array/complex64]. - **strideX**: index increment for `x`. The `N` and stride parameters determine how values from `x` are scaled by `alpha`. For example, to scale every other value in `x` by `alpha`, ```javascript var Complex64Array = require( '@stdlib/array-complex64' ); var Complex64 = require( '@stdlib/complex-float32-ctor' ); var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] ); var alpha = new Complex64( 2.0, 0.0 ); cscal( 2, alpha, x, 2 ); // x => [ 2.0, 4.0, 3.0, 4.0, 10.0, 12.0, 7.0, 8.0 ] ``` Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. ```javascript var Complex64Array = require( '@stdlib/array-complex64' ); var Complex64 = require( '@stdlib/complex-float32-ctor' ); // Initial array: var x0 = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] ); // Define a scalar constant: var alpha = new Complex64( 2.0, 2.0 ); // Create an offset view: var x1 = new Complex64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element // Scales every other value from `x1` by `alpha`... cscal( 3, alpha, x1, 1 ); // x0 => [ 1.0, 2.0, -2.0, 14.0, -2.0, 22.0, -2.0, 30.0 ] ``` #### cscal.ndarray( N, alpha, x, strideX, offsetX ) Scales values from `x` by `alpha` using alternative indexing semantics. ```javascript var Complex64Array = require( '@stdlib/array-complex64' ); var Complex64 = require( '@stdlib/complex-float32-ctor' ); var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); var alpha = new Complex64( 2.0, 2.0 ); cscal.ndarray( 3, alpha, x, 1, 0 ); // x => [ -2.0, 6.0, -2.0, 14.0, -2.0, 22.0 ] ``` The function has the following additional parameters: - **offsetX**: starting index for `x`. 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 scale every other value in the input strided array starting from the second element, ```javascript var Complex64Array = require( '@stdlib/array-complex64' ); var Complex64 = require( '@stdlib/complex-float32-ctor' ); var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] ); var alpha = new Complex64( 2.0, 2.0 ); cscal.ndarray( 2, alpha, x, 2, 1 ); // x => [ 1.0, 2.0, -2.0, 14.0, 5.0, 6.0, -2.0, 30.0 ] ```
## Notes - If `N <= 0` or `strideX <= 0`, both functions return `x` unchanged. - `cscal()` corresponds to the [BLAS][blas] level 1 function [`cscal`][cscal].
## Examples ```javascript var discreteUniform = require( '@stdlib/random-base-discrete-uniform' ); var filledarrayBy = require( '@stdlib/array-filled-by' ); var Complex64 = require( '@stdlib/complex-float32-ctor' ); var cscal = require( '@stdlib/blas-base-cscal' ); function rand() { return new Complex64( discreteUniform( 0, 10 ), discreteUniform( -5, 5 ) ); } var x = filledarrayBy( 10, 'complex64', rand ); console.log( x.toString() ); var alpha = new Complex64( 2.0, 2.0 ); console.log( alpha.toString() ); // Scale elements from `x` by `alpha`: cscal( x.length, alpha, x, 1 ); console.log( x.get( x.length-1 ).toString() ); ```

## C APIs
### Usage ```c #include "stdlib/blas/base/cscal.h" ``` #### c_cscal( N, alpha, \*X, strideX ) Scales values from `X` by `alpha`. ```c #include "stdlib/complex/float32/ctor.h" float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f }; const stdlib_complex64_t alpha = stdlib_complex64( 2.0f, 2.0f ); c_cscal( 4, alpha, (void *)x, 1 ); ``` The function accepts the following arguments: - **N**: `[in] CBLAS_INT` number of indexed elements. - **alpha**: `[in] stdlib_complex64_t` scalar constant. - **X**: `[inout] void*` input array. - **strideX**: `[in] CBLAS_INT` index increment for `X`. ```c void c_cscal( const CBLAS_INT N, const stdlib_complex64_t alpha, void *X, const CBLAS_INT strideX ); ``` #### c_cscal_ndarray( N, alpha, \*X, strideX, offsetX ) Scales values from `X` by `alpha` using alternative indexing semantics. ```c #include "stdlib/complex/float32/ctor.h" float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f }; const stdlib_complex64_t alpha = stdlib_complex64( 2.0f, 2.0f ); c_cscal_ndarray( 4, alpha, (void *)x, 1, 0 ); ``` The function accepts the following arguments: - **N**: `[in] CBLAS_INT` number of indexed elements. - **alpha**: `[in] stdlib_complex64_t` scalar constant. - **X**: `[inout] void*` input array. - **strideX**: `[in] CBLAS_INT` index increment for `X`. - **offsetX**: `[in] CBLAS_INT` starting index for `X`. ```c void c_cscal_ndarray( const CBLAS_INT N, const stdlib_complex64_t alpha, void *X, const CBLAS_INT strideX, const CBLAS_INT offsetX ); ```
### Examples ```c #include "stdlib/blas/base/cscal.h" #include "stdlib/complex/float32/ctor.h" #include int main( void ) { // Create a strided array of interleaved real and imaginary components: float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f }; // Create a complex scalar: const stdlib_complex64_t alpha = stdlib_complex64( 2.0f, 2.0f ); // Specify the number of elements: const int N = 4; // Specify stride length: const int strideX = 1; // Scale the elements of the array: c_cscal( N, alpha, (void *)x, strideX ); // Print the result: for ( int i = 0; i < N; i++ ) { printf( "x[ %i ] = %f + %fj\n", i, x[ i*2 ], x[ (i*2)+1 ] ); } // Scale the elements of the array using alternative indexing semantics: c_cscal_ndarray( N, alpha, (void *)x, -strideX, 3 ); // Print the result: for ( int i = 0; i < N; i++ ) { printf( "x[ %i ] = %f + %fj\n", i, x[ i*2 ], x[ (i*2)+1 ] ); } } ```

* * * ## Notice This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more. For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib]. #### Community [![Chat][chat-image]][chat-url] --- ## License See [LICENSE][stdlib-license]. ## Copyright Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].

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Standard library for JavaScript.

Citation (CITATION.cff)

cff-version: 1.2.0
title: stdlib
message: >-
  If you use this software, please cite it using the
  metadata from this file.

type: software

authors:
  - name: The Stdlib Authors
    url: https://github.com/stdlib-js/stdlib/graphs/contributors

repository-code: https://github.com/stdlib-js/stdlib
url: https://stdlib.io

abstract: |
  Standard library for JavaScript and Node.js.

keywords:
  - JavaScript
  - Node.js
  - TypeScript
  - standard library
  - scientific computing
  - numerical computing
  - statistical computing

license: Apache-2.0 AND BSL-1.0

date-released: 2016

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npmjs.org: @stdlib/blas-base-cscal

Scale a single-precision complex floating-point vector by a single-precision complex floating-point constant.

  • Homepage: https://stdlib.io
  • License: Apache-2.0
  • Latest release: 0.0.2
    published over 1 year ago
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