FLINT3.7.0-dev
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acb_csgn

Synopsis#include <flint/acb.h>
void acb_csgn(arb_t res, const acb_t z)source

Sets res to the sign of the real part, extended to the imaginary axis by the sign of the imaginary part: 1 in the right half plane, −1-1 in the left half plane, sgn⁡(Im⁡z)\operatorname{sgn}(\operatorname{Im} z) on the imaginary axis, and 0 at z=0z = 0. Equivalently csgn⁡(z)=z/z2\operatorname{csgn}(z) = z/\sqrt{z^2} for z≠0z \ne 0.

Guides#

Cite this page

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