FLINT3.7.0-dev

OpenComplexDisk, ClosedComplexDisk, UpperHalfPlane, UnitCircle, BernsteinEllipse, Lattice

Synopsis#include <flint/fexpr_builtin.h>
OpenComplexDisk
ClosedComplexDisk
UpperHalfPlane
UnitCircle
BernsteinEllipse
Lattice

Regions of the complex plane: the open disk OpenComplexDisk(m, r) (D(m,r)D(m, r)), the closed disk ClosedComplexDisk(m, r) (D‾(m,r)\overline{D}(m, r)) with center mm and radius rr, the upper half-plane UpperHalfPlane (H\mathbb{H}) of numbers with positive imaginary part, the unit circle UnitCircle (T\mathbb{T}), the Bernstein ellipse BernsteinEllipse(rho) (Eρ\mathcal{E}_{\rho}) with foci ±1\pm 1 and sum of semi-axes ρ\rho, and the lattice Lattice(a, b) (Λ(a,b)\Lambda_{(a, b)}) generated by a and b.

Cite this page

The FLINT team, “OpenComplexDisk, ClosedComplexDisk, UpperHalfPlane, UnitCircle, BernsteinEllipse, Lattice (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/OpenComplexDisk.html (generated 2026-11-02).