FLINT3.7.0-dev
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gr_sin_pi, gr_cos_pi, gr_sin_cos_pi, gr_tan_pi, gr_cot_pi, gr_sec_pi, gr_csc_pi

Synopsis#include <flint/gr_special.h>
int gr_sin_pi(gr_ptr res, gr_srcptr x, gr_ctx_t ctx)source
int gr_cos_pi(gr_ptr res, gr_srcptr x, gr_ctx_t ctx)source
int gr_sin_cos_pi(gr_ptr res1, gr_ptr res2, gr_srcptr x, gr_ctx_t ctx)source
int gr_tan_pi(gr_ptr res, gr_srcptr x, gr_ctx_t ctx)source
int gr_cot_pi(gr_ptr res, gr_srcptr x, gr_ctx_t ctx)source
int gr_sec_pi(gr_ptr res, gr_srcptr x, gr_ctx_t ctx)source
int gr_csc_pi(gr_ptr res, gr_srcptr x, gr_ctx_t ctx)source

The same functions evaluated at \pi x: \sin(\pi x) and so on. They are exact at integers and half-integers in ball arithmetic, and algebraic for rational x, which qqbar and ca compute exactly.

Cite this page

The FLINT team, “gr_sin_pi, gr_cos_pi, gr_sin_cos_pi, gr_tan_pi, gr_cot_pi, gr_sec_pi, gr_csc_pi (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_sin_pi.html (generated 2026-10-20).