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zlinspace

Fill a double-precision complex floating-point strided array with linearly spaced values over a specified interval.

Installation

npm install @stdlib/blas-ext-base-zlinspace

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
• If you are using Deno, visit the deno branch (see README for usage intructions).
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md 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

var zlinspace = require( '@stdlib/blas-ext-base-zlinspace' );

zlinspace( N, start, stop, endpoint, x, strideX )

Fills a double-precision complex floating-point strided array with linearly spaced values over a specified interval.

var Complex128Array = require( '@stdlib/array-complex128' );
var Complex128 = require( '@stdlib/complex-float64-ctor' );

var x = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

var strt = new Complex128( 0.0, 0.0 );
var stp = new Complex128( 4.0, 2.0 );

zlinspace( x.length, strt, stp, true, x, 1 );
// x => <Complex128Array>[ 0.0, 0.0, 2.0, 1.0, 4.0, 2.0 ]

The function has the following parameters:

• N: number of indexed elements.
• start: start of interval.
• stop: end of interval.
• endpoint: boolean indicating whether to include the stop value when writing values to the input array. If true, the input array is filled with evenly spaced values over the closed interval [start, stop]. If false, the input array is filled with evenly spaced values over the half-open interval [start, stop).
• x: input Complex128Array.
• strideX: stride length.

The N and stride parameters determine which elements in the strided array are accessed at runtime. For example, to fill every other element:

var Complex128Array = require( '@stdlib/array-complex128' );
var Complex128 = require( '@stdlib/complex-float64-ctor' );

var x = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

var strt = new Complex128( 1.0, 0.0 );
var stp = new Complex128( 3.0, 2.0 );

zlinspace( 2, strt, stp, true, x, 2 );
// x => <Complex128Array>[ 1.0, 0.0, 0.0, 0.0, 3.0, 2.0, 0.0, 0.0 ]

Note that indexing is relative to the first index. To introduce an offset, use typed array views.

var Complex128Array = require( '@stdlib/array-complex128' );
var Complex128 = require( '@stdlib/complex-float64-ctor' );

// Initial array...
var x0 = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

// Create an offset view...
var x1 = new Complex128Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

// Fill every other element...
var strt = new Complex128( 1.0, 0.0 );
var stp = new Complex128( 3.0, 2.0 );

zlinspace( 2, strt, stp, true, x1, 2 );
// x0 => <Complex128Array>[ 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 3.0, 2.0, 0.0, 0.0 ]

zlinspace.ndarray( N, start, stop, endpoint, x, strideX, offsetX )

Fills a double-precision complex floating-point strided array with linearly spaced values over a specified interval using alternative indexing semantics.

var Complex128Array = require( '@stdlib/array-complex128' );
var Complex128 = require( '@stdlib/complex-float64-ctor' );

var x = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

var strt = new Complex128( 0.0, 0.0 );
var stp = new Complex128( 4.0, 2.0 );

zlinspace.ndarray( x.length, strt, stp, true, x, 1, 0 );
// x => <Complex128Array>[ 0.0, 0.0, 2.0, 1.0, 4.0, 2.0 ]

The function has the following additional parameters:

• offsetX: starting index.

While 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 access only the last two elements:

var Complex128Array = require( '@stdlib/array-complex128' );
var Complex128 = require( '@stdlib/complex-float64-ctor' );

var x = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

var strt = new Complex128( 1.0, 0.0 );
var stp = new Complex128( 3.0, 2.0 );

zlinspace.ndarray( 2, strt, stp, true, x, 1, x.length-2 );
// x => <Complex128Array>[ 0.0, 0.0, 1.0, 0.0, 3.0, 2.0 ]

Notes

• The real and imaginary components are interpolated independently.

• Let M be the number of generated values (which is either N or N+1 depending on whether endpoint is true or false, respectively). Given start = a + bi and stop = c + di, the spacing for each component is

  Δ_re = (c - a) / (M - 1)
  Δ_im = (d - b) / (M - 1)
  

• When the number of generated values is greater than 1 and endpoint is true, the set of values written to a provided input array is guaranteed to include the start and stop values. Beware, however, that values between start and stop are subject to floating-point rounding errors.

• When N = 1 and endpoint is false, only the start value is written to a provided input array. When N = 1 and endpoint is true, only the stop value is written to a provided input array.

• If N <= 0, both functions return x unchanged.

Examples

var Complex128Array = require( '@stdlib/array-complex128' );
var Complex128 = require( '@stdlib/complex-float64-ctor' );
var logEach = require( '@stdlib/console-log-each' );
var zlinspace = require( '@stdlib/blas-ext-base-zlinspace' );

var x = new Complex128Array( 10 );

var strt = new Complex128( 0.0, 0.0 );
var stp = new Complex128( 10.0, 5.0 );

zlinspace( x.length, strt, stp, true, x, 1 );
logEach( '%s', x );

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C APIs

Usage

#include "stdlib/blas/ext/base/zlinspace.h"

stdlib_strided_zlinspace( N, start, stop, endpoint, *X, strideX )

Fills a double-precision complex floating-point strided array with linearly spaced values over a specified interval.

#include "stdlib/complex/float64/ctor.h"
#include <stdbool.h>

stdlib_complex128_t start = stdlib_complex128( 0.0, 0.0 );
stdlib_complex128_t stop = stdlib_complex128( 4.0, 2.0 );

double x[] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 };

stdlib_strided_zlinspace( 4, start, stop, true, (stdlib_complex128_t *)x, 1 );

The function accepts the following arguments:

• N: [in] CBLAS_INT number of indexed elements.
• start: [in] stdlib_complex128_t start of interval.
• stop: [in] stdlib_complex128_t end of interval.
• endpoint: [in] bool boolean indicating whether to include the stop value when writing values to the input array. If true, the input array is filled with evenly spaced values over the closed interval [start, stop]. If false, the input array is filled with evenly spaced values over the half-open interval [start, stop).
• X: [out] stdlib_complex128_t* input array.
• strideX: [in] CBLAS_INT stride length.

void stdlib_strided_zlinspace( const CBLAS_INT N, const stdlib_complex128_t start, const stdlib_complex128_t stop, const bool endpoint, stdlib_complex128_t *X, const CBLAS_INT strideX );

stdlib_strided_zlinspace_ndarray( N, start, stop, endpoint, *X, strideX, offsetX )

Fills a double-precision complex floating-point strided array with linearly spaced values over a specified interval using alternative indexing semantics.

#include "stdlib/complex/float64/ctor.h"
#include <stdbool.h>

stdlib_complex128_t start = stdlib_complex128( 0.0, 0.0 );
stdlib_complex128_t stop = stdlib_complex128( 4.0, 2.0 );

double x[] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 };

stdlib_strided_zlinspace_ndarray( 4, start, stop, true, (stdlib_complex128_t *)x, 1, 0 );

The function accepts the following arguments:

• N: [in] CBLAS_INT number of indexed elements.
• start: [in] stdlib_complex128_t start of interval.
• stop: [in] stdlib_complex128_t end of interval.
• endpoint: [in] bool boolean indicating whether to include the stop value when writing values to the input array. If true, the input array is filled with evenly spaced values over the closed interval [start, stop]. If false, the input array is filled with evenly spaced values over the half-open interval [start, stop).
• X: [out] stdlib_complex128_t* input array.
• strideX: [in] CBLAS_INT stride length.
• offsetX: [in] CBLAS_INT starting index.

void stdlib_strided_zlinspace_ndarray( const CBLAS_INT N, const stdlib_complex128_t start, const stdlib_complex128_t stop, const bool endpoint, stdlib_complex128_t *X, const CBLAS_INT strideX, const CBLAS_INT offsetX );

Examples

#include "stdlib/blas/ext/base/zlinspace.h"
#include "stdlib/complex/float64/ctor.h"
#include "stdlib/complex/float64/real.h"
#include "stdlib/complex/float64/imag.h"
#include <stdio.h>
#include <stdbool.h>

int main( void ) {
    // Create a strided array:
    double x[] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 };

    // Specify the number of indexed elements:
    const int N = 8;

    // Specify a stride:
    const int strideX = 1;

    // Create start and stop values:
    const stdlib_complex128_t start = stdlib_complex128( 0.0, 0.0 );
    const stdlib_complex128_t stop = stdlib_complex128( 10.0, 5.0 );

    // Fill the array:
    stdlib_strided_zlinspace( N, start, stop, true, (stdlib_complex128_t *)x, strideX );

    // Print the result:
    for ( int i = 0; i < N; i++ ) {
        stdlib_complex128_t v = ( (stdlib_complex128_t *)x )[ i ];
        printf( "x[ %i ] = %lf + %lfi\n", i, stdlib_complex128_real( v ), stdlib_complex128_imag( v ) );
    }
}

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Notice

This package is part of 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, see the main project repository.

Community

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License

See LICENSE.

Copyright

Copyright © 2016-2026. The Stdlib Authors.