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@stdlib/math-base-special-cinv
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We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.
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Compute the inverse of a double-precision complex floating-point number.
The inverse (or reciprocal) of a non-zero complex number z = a + bi
is defined as
npm install @stdlib/math-base-special-cinv
var cinv = require( '@stdlib/math-base-special-cinv' );
Computes the inverse of a double-precision complex floating-point number.
var Complex128 = require( '@stdlib/complex-float64' );
var real = require( '@stdlib/complex-real' );
var imag = require( '@stdlib/complex-imag' );
var v = cinv( new Complex128( 2.0, 4.0 ) );
// returns <Complex128>
var re = real( v );
// returns 0.1
var im = imag( v );
// returns -0.2
var Complex128 = require( '@stdlib/complex-float64' );
var uniform = require( '@stdlib/random-base-uniform' );
var cinv = require( '@stdlib/math-base-special-cinv' );
var z1;
var z2;
var i;
for ( i = 0; i < 100; i++ ) {
z1 = new Complex128( uniform( -50.0, 50.0 ), uniform( -50.0, 50.0 ) );
z2 = cinv( z1 );
console.log( '1.0 / (%s) = %s', z1.toString(), z2.toString() );
}
#include "stdlib/math/base/special/cinv.h"
Computes the inverse of a double-precision complex floating-point number.
#include "stdlib/complex/float64.h"
#include "stdlib/complex/real.h"
#include "stdlib/complex/imag.h"
stdlib_complex128_t z = stdlib_complex128( 2.0, 4.0 );
stdlib_complex128_t out = stdlib_base_cinv( z );
double re = stdlib_real( out );
// returns 0.1
double im = stdlib_imag( out );
// returns -0.2
The function accepts the following arguments:
[in] stdlib_complex128_t
input value.stdlib_complex128_t stdlib_base_cinv( const stdlib_complex128_t z );
#include "stdlib/math/base/special/cinv.h"
#include "stdlib/complex/float64.h"
#include "stdlib/complex/reim.h"
#include <stdio.h>
int main() {
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 re1;
double im1;
double re2;
double im2;
int i;
for ( i = 0; i < 4; i++ ) {
v = x[ i ];
y = stdlib_base_cinv( v );
stdlib_reim( v, &re1, &im1 );
stdlib_reim( y, &re2, &im2 );
printf( "cinv(%lf + %lfi) = %lf + %lfi\n", re1, im1, re2, im2 );
}
}
@stdlib/math-base/ops/cdiv
: divide two complex numbers.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.
See LICENSE.
Copyright © 2016-2024. The Stdlib Authors.
FAQs
Compute the inverse of a double-precision complex floating-point number.
We found that @stdlib/math-base-special-cinv demonstrated a healthy version release cadence and project activity because the last version was released less than a year ago. It has 4 open source maintainers collaborating on the project.
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