Fresnel integrals C(x) and S(x)

Fresnel integrals C(x) and S(x) are defined as C(x) = integral(cos(pi t ²/2)dt,0,x) and S(x) = integral(sin(pi t ²/2)dt,0,x).

Some sources don't use multiplier before t ² (in this case, the integral is multiplied by the scaling coefficient), so you should watch closely what integral is being referred to.

FresnelIntegral subroutine calculates C(x) and S(x) using piecewise rational approximation.

This article is intended for personal use only.

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