fresnelc
Compute the Fresnel integral C(x).
The Fresnel integral C(x) is defined as
Some sources define C(x) using t2 for the argument of the cosine. To get this function, multiply the computed integral by √(π/2)
and multiply the argument x
by √(2/π)
.
Usage
var fresnelc = require( '@stdlib/math/base/special/fresnelc' );
fresnelc( x )
Computes the Fresnel integral C(x).
var v = fresnelc( 0.0 );
// returns ~0.0
v = fresnelc( 1.0 );
// returns ~0.780
v = fresnelc( Infinity );
// returns ~0.5
v = fresnelc( -Infinity );
// returns ~-0.5
v = fresnelc( NaN );
// returns NaN
Examples
var linspace = require( '@stdlib/array/base/linspace' );
var fresnelc = require( '@stdlib/math/base/special/fresnelc' );
var x = linspace( 0.0, 10.0, 100 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( fresnelc( x[ i ] ) );
}
C APIs
Usage
#include "stdlib/math/base/special/fresnelc.h"
stdlib_base_fresnelc( x )
Computes the Fresnel integral C(x).
double out = stdlib_base_fresnelc( 0.0 );
// returns ~0.0
out = stdlib_base_fresnelc( 1.0 );
// returns ~0.780
The function accepts the following arguments:
- x:
[in] double
input value.
double stdlib_base_fresnelc( const double x );
Examples
#include "stdlib/math/base/special/fresnelc.h"
#include <stdio.h>
int main( void ) {
const double x[] = { 0.0, 3.14, 5.55, 10.0 };
double y;
int i;
for ( i = 0; i < 4; i++ ) {
y = stdlib_base_fresnelc( x[ i ] );
printf( "fresnelc(%lf) = %lf\n", x[ i ], y );
}
}