ccis

Evaluate the cis function for a double-precision complex floating-point number.

The cis function is defined as

Usage

var ccis = require( '@stdlib/math/base/special/ccis' );

ccis( z )

Evaluates the cis function for a double-precision complex floating-point number.

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

var z = new Complex128( 0.0, 0.0 );

var v = ccis( z );
// returns <Complex128>

var re = real( v );
// returns 1.0

var im = imag( v );
// returns 0.0

z = new Complex128( 1.0, 0.0 );

v = ccis( z );
// returns <Complex128>

re = real( v );
// returns ~0.540

im = imag( v );
// returns ~0.841

Examples

var Complex128 = require( '@stdlib/complex/float64/ctor' );
var uniform = require( '@stdlib/random/base/uniform' );
var ccis = require( '@stdlib/math/base/special/ccis' );

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 = ccis( z1 );
    console.log( 'ccis(%s) = %s', z1.toString(), z2.toString() );
}

C APIs

Usage

#include "stdlib/math/base/special/ccis.h"

stdlib_base_ccis( z )

Evaluates the cis function for a double-precision complex floating-point number.

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

stdlib_complex128_t z = stdlib_complex128( 0.0, 0.0 );

stdlib_complex128_t out = stdlib_base_ccis( z );

double re = stdlib_complex128_real( out );
// returns 1.0

double im = stdlib_complex128_imag( out );
// returns 0.0

The function accepts the following arguments:

  • z: [in] stdlib_complex128_t input value.
stdlib_complex128_t stdlib_base_ccis( const stdlib_complex128_t z );

Examples

#include "stdlib/math/base/special/ccis.h"
#include "stdlib/complex/float64/ctor.h"
#include "stdlib/complex/float64/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 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_ccis( v );
        stdlib_complex128_reim( y, &re, &im );
        printf( "ccis(z) = %lf + %lfi\n", re, im );
    }
}
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