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@stdlib/complex-float64-base-mul-add

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  • License Apache-2.0

Perform a multiply-add operation involving three double-precision complex floating-point numbers.

Package Exports

  • @stdlib/complex-float64-base-mul-add
  • @stdlib/complex-float64-base-mul-add/dist
  • @stdlib/complex-float64-base-mul-add/dist/index.js
  • @stdlib/complex-float64-base-mul-add/lib/index.js

This package does not declare an exports field, so the exports above have been automatically detected and optimized by JSPM instead. If any package subpath is missing, it is recommended to post an issue to the original package (@stdlib/complex-float64-base-mul-add) to support the "exports" field. If that is not possible, create a JSPM override to customize the exports field for this package.

Readme

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muladd

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Perform a multiply-add operation involving three double-precision complex floating-point numbers.

Installation

npm install @stdlib/complex-float64-base-mul-add

Usage

var muladd = require( '@stdlib/complex-float64-base-mul-add' );

muladd( alpha, x, y )

Performs a multiply-add operation involving three double-precision complex floating-point numbers.

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

var z1 = new Complex128( 5.0, 3.0 );
var z2 = new Complex128( -2.0, 1.0 );
var z3 = new Complex128( 7.0, -8.0 );

// Compute `alpha*x + y`:
var v = muladd( z1, z2, z3 );
// returns <Complex128>[ -6.0, -9.0 ]

The function supports the following parameters:

muladd.assign( ar, ai, xr, xi, yr, yi, out, strideOut, offsetOut )

Performs a multiply-add operation involving three double-precision complex floating-point numbers and assigns the results to an output strided array.

var Float64Array = require( '@stdlib/array-float64' );

var out = new Float64Array( 2 );
var v = muladd.assign( 5.0, 3.0, -2.0, 1.0, 7.0, -8.0, out, 1, 0 );
// returns <Float64Array>[ -6.0, -9.0 ]

var bool = ( out === v );
// returns true

The function supports the following parameters:

  • ar: real component of the first complex number.
  • ai: imaginary component of the first complex number.
  • xr: real component of the second complex number.
  • xi: imaginary component of the second complex number.
  • yr: real component of the third complex number.
  • yi: imaginary component of the third complex number.
  • out: output array.
  • strideOut: stride length for out.
  • offsetOut: starting index for out.

muladd.strided( alpha, sa, oa, x, sx, ox, y, sy, oy, out, so, oo )

Performs a multiply-add operation involving three double-precision complex floating-point numbers stored in real-valued strided array views and assigns results to a provided strided output array.

var Float64Array = require( '@stdlib/array-float64' );

var z1 = new Float64Array( [ 5.0, 3.0 ] );
var z2 = new Float64Array( [ -2.0, 1.0 ] );
var z3 = new Float64Array( [ 7.0, -8.0 ] );
var out = new Float64Array( 2 );

var v = muladd.strided( z1, 1, 0, z2, 1, 0, z3, 1, 0, out, 1, 0 );
// returns <Float64Array>[ -6.0, -9.0 ]

var bool = ( out === v );
// returns true

The function supports the following parameters:

  • alpha: first complex number strided array view.
  • sa: stride length for alpha.
  • oa: starting index for alpha.
  • x: second complex number strided array view.
  • sx: stride length for x.
  • ox: starting index for x.
  • y: third complex number strided array view.
  • sy: stride length for y.
  • oy: starting index for y.
  • out: output array.
  • so: stride length for out.
  • oo: starting index for out.

Examples

var Complex128Array = require( '@stdlib/array-complex128' );
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var muladd = require( '@stdlib/complex-float64-base-mul-add' );

// Generate arrays of random values:
var z1 = new Complex128Array( discreteUniform( 200, -50, 50 ) );
var z2 = new Complex128Array( discreteUniform( 200, -50, 50 ) );
var z3 = new Complex128Array( discreteUniform( 200, -50, 50 ) );

// Perform element-wise computation:
logEachMap( '( (%s) * (%s) ) + (%s) = %s', z1, z2, z3, muladd );

C APIs

Usage

#include "stdlib/complex/float64/base/mul_add.h"

stdlib_base_complex128_muladd( alpha, x, y )

Performs a multiply-add operation involving three double-precision complex floating-point numbers.

#include "stdlib/complex/float64/ctor.h"
#include "stdlib/complex/float64/real.h"
#include "stdlib/complex/float64/imag.h"

stdlib_complex128_t z1 = stdlib_complex128( 5.0, 3.0 );
stdlib_complex128_t z2 = stdlib_complex128( -2.0, 1.0 );
stdlib_complex128_t z3 = stdlib_complex128( 7.0, -8.0 );

stdlib_complex128_t out = stdlib_base_complex128_muladd( z1, z2, z3 );

double re = stdlib_complex128_real( out );
// returns -6.0

double im = stdlib_complex128_imag( out );
// returns -9.0

The function accepts the following arguments:

  • alpha: [in] stdlib_complex128_t input value.
  • x: [in] stdlib_complex128_t input value.
  • y: [in] stdlib_complex128_t input value.
stdlib_complex128_t stdlib_base_complex128_muladd( const stdlib_complex128_t alpha, const stdlib_complex128_t x, const stdlib_complex128_t y );

Examples

#include "stdlib/complex/float64/base/mul_add.h"
#include "stdlib/complex/float64/ctor.h"
#include "stdlib/complex/float64/reim.h"
#include <stdio.h>

int main( void ) {
    const stdlib_complex128_t x[] = {
        stdlib_complex128( 3.14, 1.5 ),
        stdlib_complex128( -3.14, 1.5 ),
        stdlib_complex128( 0.0, -0.0 ),
        stdlib_complex128( 0.0/0.0, 0.0/0.0 )
    };

    stdlib_complex128_t v;
    stdlib_complex128_t y;
    double re;
    double im;
    int i;
    for ( i = 0; i < 4; i++ ) {
        v = x[ i ];
        stdlib_complex128_reim( v, &re, &im );
        printf( "z = %lf + %lfi\n", re, im );

        y = stdlib_base_complex128_muladd( v, v, v );
        stdlib_complex128_reim( y, &re, &im );
        printf( "z*z + z = %lf + %lfi\n", re, im );
    }
}

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.

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License

See LICENSE.

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