fresnelc

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 ] ) );
}

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See Also

• @stdlib/math/base/special/fresnel: compute the Fresnel integrals S(x) and C(x).
• @stdlib/math/base/special/fresnels: compute the Fresnel integral S(x).