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mul

Multiply two single-precision complex floating-point numbers.

Installation

npm install @stdlib/complex-float32-base-mul

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 mul = require( '@stdlib/complex-float32-base-mul' );

mul( z1, z2 )

Multiples two single-precision complex floating-point numbers.

var Complex64 = require( '@stdlib/complex-float32-ctor' );
var realf = require( '@stdlib/complex-float32-real' );
var imagf = require( '@stdlib/complex-float32-imag' );

var z1 = new Complex64( 5.0, 3.0 );
var z2 = new Complex64( -2.0, 1.0 );

var v = mul( z1, z2 );
// returns <Complex64>

var re = realf( v );
// returns -13.0

var im = imagf( v );
// returns -1.0

Examples

var Complex64 = require( '@stdlib/complex-float32-ctor' );
var discreteUniform = require( '@stdlib/random-base-discrete-uniform' ).factory;
var mul = require( '@stdlib/complex-float32-base-mul' );

var rand = discreteUniform( -50, 50 );

var z1;
var z2;
var z3;
var i;
for ( i = 0; i < 100; i++ ) {
    z1 = new Complex64( rand(), rand() );
    z2 = new Complex64( rand(), rand() );
    z3 = mul( z1, z2 );
    console.log( '(%s) * (%s) = %s', z1.toString(), z2.toString(), z3.toString() );
}

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C APIs

Usage

#include "stdlib/complex/float32/base/mul.h"

stdlib_base_complex64_mul( z1, z2 )

Multiplies two single-precision complex floating-point numbers.

#include "stdlib/complex/float32/ctor.h"
#include "stdlib/complex/float32/real.h"
#include "stdlib/complex/float32/imag.h"

stdlib_complex64_t z1 = stdlib_complex64( 5.0f, 3.0f );
stdlib_complex64_t z2 = stdlib_complex64( -2.0f, 1.0f );

stdlib_complex64_t out = stdlib_base_complex64_mul( z1, z2 );

float re = stdlib_complex64_real( out );
// returns -13.0f

float im = stdlib_complex64_imag( out );
// returns -1.0f

The function accepts the following arguments:

• z1: [in] stdlib_complex64_t input value.
• z2: [in] stdlib_complex64_t input value.

stdlib_complex64_t stdlib_base_complex64_mul( const stdlib_complex64_t z1, const stdlib_complex64_t z2 );

Examples

#include "stdlib/complex/float32/base/mul.h"
#include "stdlib/complex/float32/ctor.h"
#include "stdlib/complex/float32/reim.h"
#include <stdio.h>

int main( void ) {
    const stdlib_complex64_t x[] = {
        stdlib_complex64( 3.14f, 1.5f ),
        stdlib_complex64( -3.14f, 1.5f ),
        stdlib_complex64( 0.0f, -0.0f ),
        stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
    };

    stdlib_complex64_t v;
    stdlib_complex64_t y;
    float re;
    float im;
    int i;
    for ( i = 0; i < 4; i++ ) {
        v = x[ i ];
        stdlib_complex64_reim( v, &re, &im );
        printf( "z = %f + %fi\n", re, im );

        y = stdlib_base_complex64_mul( v, v );
        stdlib_complex64_reim( y, &re, &im );
        printf( "mul(z, z) = %f + %fi\n", re, im );
    }
}

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See Also

• @stdlib/complex-float32/base/add: add two single-precision complex floating-point numbers.
• @stdlib/complex-float64/base/mul: multiply two double-precision complex floating-point numbers.
• @stdlib/math-base/ops/csubf: subtract two single-precision complex floating-point numbers.

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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 © 2016-2024. The Stdlib Authors.