AdvancedMathFresnel Method

public static Complex Fresnel(
	double x
)

Public Shared Function Fresnel ( 
	x As Double
) As Complex

public:
static Complex Fresnel(
	double x
)

static member Fresnel : 
        x : float -> Complex 

Parameters

x  Double

The argument.

Return Value

If you need both C(x) and S(x), it is more efficient to call this function than to call FresnelC(Double) and FresnelS(Double) seperately.

Our definition of C(x) and S(x) agrees with that of Abromowitz and Stegun, the NIST Library of Mathematical Functions, Numerical Recipies, Mathematica, Matlab, SciPy, and any every other reference book and numerical software library I can find. Wikipedia, however uses an alternative definition.

A plot of all values of this function in the complex plane as x ranges from negative infinity to positive infinity is called a Cornu spiral.

The Fresnel function can be related to the complex error function along the line (1-𝑖).

Reference

Other Resources