FLINT3.7.0-dev
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gr_fresnel_s, gr_fresnel_c, gr_fresnel

Synopsis#include <flint/gr_special.h>
int gr_fresnel_s(gr_ptr res, gr_srcptr x, int normalized, gr_ctx_t ctx)source
int gr_fresnel_c(gr_ptr res, gr_srcptr x, int normalized, gr_ctx_t ctx)source
int gr_fresnel(gr_ptr res1, gr_ptr res2, gr_srcptr x, int normalized, gr_ctx_t ctx)source

Set res to the Fresnel integral S(x)=∫0xsin⁡(πt2/2) dtS(x) = \int_0^x \sin(\pi t^2 / 2) \, dt or C(x)=∫0xcos⁡(πt2/2) dtC(x) = \int_0^x \cos(\pi t^2 / 2) \, dt if normalized is nonzero, and to the unnormalised integrals ∫0xsin⁡(t2) dt\int_0^x \sin(t^2) \, dt and ∫0xcos⁡(t2) dt\int_0^x \cos(t^2) \, dt otherwise; gr_fresnel sets res1 to SS and res2 to CC.

Cite this page

The FLINT team, “gr_fresnel_s, gr_fresnel_c, gr_fresnel (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_fresnel_s.html (generated 2026-11-02).