Divide two single-precision complex floating-point numbers.
var cdiv = require( '@stdlib/complex/float32/base/div' );Divides two single-precision complex floating-point numbers.
var Complex64 = require( '@stdlib/complex/float32/ctor' );
var z1 = new Complex64( -13.0, -1.0 );
var z2 = new Complex64( -2.0, 1.0 );
var v = cdiv( z1, z2 );
// returns <Complex64>[ 5.0, 3.0 ]Divides two single-precision complex floating-point numbers and assigns results to a provided output array.
var Float32Array = require( '@stdlib/array/float32' );
var out = new Float32Array( 2 );
var v = cdiv.assign( -13.0, -1.0, -2.0, 1.0, out, 1, 0 );
// returns <Float32Array>[ 5.0, 3.0 ]
var bool = ( out === v );
// returns trueThe function supports the following parameters:
- re1: real component of the first complex number.
- im1: imaginary component of the first complex number.
- re2: real component of the second complex number.
- im2: imaginary component of the second complex number.
- out: output array.
- strideOut: stride length for
out. - offsetOut: starting index for
out.
Divides two single-precision complex floating-point numbers stored in real-valued strided array views and assigns results to a provided strided output array.
var Float32Array = require( '@stdlib/array/float32' );
var z1 = new Float32Array( [ -13.0, -1.0 ] );
var z2 = new Float32Array( [ -2.0, 1.0 ] );
var out = new Float32Array( 2 );
var v = cdiv.strided( z1, 1, 0, z2, 1, 0, out, 1, 0 );
// returns <Float32Array>[ 5.0, 3.0 ]
var bool = ( out === v );
// returns trueThe function supports the following parameters:
- z1: first complex number strided array view.
- sz1: stride length for
z1. - oz1: starting index for
z1. - z2: second complex number strided array view.
- sz2: stride length for
z2. - oz2: starting index for
z2. - out: output array.
- so: stride length for
out. - oo: starting index for
out.
var Complex64Array = require( '@stdlib/array/complex64' );
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var logEachMap = require( '@stdlib/console/log-each-map' );
var cdiv = require( '@stdlib/complex/float32/base/div' );
// Generate arrays of random values:
var z1 = new Complex64Array( discreteUniform( 200, -50, 50 ) );
var z2 = new Complex64Array( discreteUniform( 200, -50, 50 ) );
// Perform element-wise division:
logEachMap( '(%s) / (%s) = %s', z1, z2, cdiv );#include "stdlib/complex/float32/base/div.h"Divides 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( -13.0f, -1.0f );
stdlib_complex64_t z2 = stdlib_complex64( -2.0f, 1.0f );
stdlib_complex64_t out = stdlib_base_complex64_div( z1, z2 );
float re = stdlib_complex64_real( out );
// returns 5.0f
float im = stdlib_complex64_imag( out );
// returns 3.0fThe function accepts the following arguments:
- z1:
[in] stdlib_complex64_tinput value. - z2:
[in] stdlib_complex64_tinput value.
stdlib_complex64_t stdlib_base_complex64_div( const stdlib_complex64_t z1, const stdlib_complex64_t z2 );#include "stdlib/complex/float32/base/div.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_div( v, v );
stdlib_complex64_reim( y, &re, &im );
printf( "cdiv(z, z) = %f + %fi\n", re, im );
}
}- Smith, Robert L. 1962. "Algorithm 116: Complex Division." Commun. ACM 5 (8). New York, NY, USA: ACM: 435. doi:10.1145/368637.368661.
- Stewart, G. W. 1985. "A Note on Complex Division." ACM Trans. Math. Softw. 11 (3). New York, NY, USA: ACM: 238–41. doi:10.1145/214408.214414.
- Priest, Douglas M. 2004. "Efficient Scaling for Complex Division." ACM Trans. Math. Softw. 30 (4). New York, NY, USA: ACM: 389–401. doi:10.1145/1039813.1039814.
- Julia. "complex.jl." Julia Programming Language. <https://github.com/JuliaLang/julia/blob/master/base/complex.jl>.