FLINT3.7.0-dev
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acb_sin_pi, acb_cos_pi, acb_sin_cos_pi, acb_tan_pi, acb_cot_pi, acb_csc_pi

Synopsis#include <flint/acb.h>
void acb_sin_pi(acb_t r, const acb_t z, slong prec)source
void acb_cos_pi(acb_t r, const acb_t z, slong prec)source
void acb_sin_cos_pi(acb_t s, acb_t c, const acb_t z, slong prec)source
void acb_tan_pi(acb_t r, const acb_t z, slong prec)source
void acb_cot_pi(acb_t r, const acb_t z, slong prec)source
void acb_csc_pi(acb_t y, const acb_t x, slong prec)source

Set the output to sin⁡(πz)\sin(\pi z), cos⁡(πz)\cos(\pi z), both, tan⁡(πz)\tan(\pi z), cot⁡(πz)\cot(\pi z), respectively csc⁡(πz)\csc(\pi z), using arb_sin_cos_pi for the real part so that the results are accurate near the zeros.

Guides#

Cite this page

The FLINT team, “acb_sin_pi, acb_cos_pi, acb_sin_cos_pi, acb_tan_pi, acb_cot_pi, acb_csc_pi (acb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb/acb_sin_pi.html (generated 2026-11-02).