mul

Multiply two double-precision complex floating-point numbers.

Usage

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

mul( z1, z2 )

Multiplies two double-precision complex floating-point numbers.

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

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

var v = mul( z1, z2 );
// returns <Complex128>

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

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

Examples

var Complex128 = require( '@stdlib/complex/float64/ctor' );
var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ).factory;
var mul = require( '@stdlib/complex/float64/base/mul' );

var rand = discreteUniform( -50, 50 );

var z1;
var z2;
var z3;
var i;
for ( i = 0; i < 100; i++ ) {
    z1 = new Complex128( rand(), rand() );
    z2 = new Complex128( rand(), rand() );
    z3 = mul( z1, z2 );
    console.log( '(%s) * (%s) = %s', z1.toString(), z2.toString(), z3.toString() );
}

C APIs

Usage

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

stdlib_base_complex128_mul( z1, z2 )

Multiplies two 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 out = stdlib_base_complex128_mul( z1, z2 );

double re = stdlib_complex128_real( out );
// returns -13.0

double im = stdlib_complex128_imag( out );
// returns -1.0

The function accepts the following arguments:

z1: [in] stdlib_complex128_t input value.
z2: [in] stdlib_complex128_t input value.

stdlib_complex128_t stdlib_base_complex128_mul( const stdlib_complex128_t z1, const stdlib_complex128_t z2 );

Examples

#include "stdlib/complex/float64/base/mul.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_mul( v, v );
        stdlib_complex128_reim( y, &re, &im );
        printf( "mul(z, z) = %lf + %lfi\n", re, im );
    }
}