Euclidean plane functions: perpendicularity, parallelism, altitude, orthocenter, etc. More...
#include <type_traits>#include "pg_common.hpp"#include "proj_plane.hpp"#include "proj_plane_concepts.h"
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Namespaces | |
| namespace | fun |
Functions | |
| template<ProjectivePlaneCoord2 Line> | |
| constexpr auto | fun::fB (const Line &line_l) -> typename Line::Dual |
| Convert a line to its direction vector in the affine plane. | |
| template<ProjectivePlaneCoord2 Line> | |
| constexpr auto | fun::is_perpendicular (const Line &line_l, const Line &line_m) -> bool |
| Check if two lines are perpendicular. | |
| template<ProjectivePlaneCoord2 Line> | |
| constexpr auto | fun::is_parallel (const Line &line_l, const Line &line_m) -> bool |
| Check if two lines are parallel. | |
| template<typename Point , typename Line > requires ProjectivePlaneCoord<Point, Line> | |
| constexpr auto | fun::altitude (const Point &a, const Line &line_l) -> Line |
| Compute the altitude from a point to a line. | |
| template<ProjectivePlaneCoord2 Point> | |
| constexpr auto | fun::tri_altitude (const Triple< Point > &triangle) |
| Compute all three altitudes of a triangle. | |
| template<ProjectivePlaneCoord2 Point> | |
| constexpr auto | fun::orthocenter (const Triple< Point > &triangle) -> Point |
| Compute the orthocenter of a triangle. | |
| template<ProjectivePlaneCoord2 Line> | |
| constexpr auto | fun::reflect (const Line &line_m) |
| Create an involution that reflects across a line. | |
| template<ProjectivePlaneCoord2 Point> | |
| constexpr auto | fun::midpoint (const Point &a, const Point &b) -> Point |
| Compute the midpoint of two points. | |
| template<ProjectivePlaneCoord2 Point> | |
| constexpr auto | fun::tri_midpoint (const Triple< Point > &triangle) -> Triple< Point > |
| Compute the midpoints of all three sides of a triangle. | |
| template<ProjectivePlaneCoord2 Point> | |
| constexpr auto | fun::uc_point (const Value_type< Point > &lda1, const Value_type< Point > &mu1) |
| Compute a point on the unit circle from trigonometric parameters. | |
| template<OrderedRing _Q> | |
| constexpr auto | fun::archimedes (const _Q &a, const _Q &b, const _Q &c) |
| Archimedes's function. | |
| template<typename _Q > | |
| constexpr auto | fun::cqq (const _Q &a, const _Q &b, const _Q &c, const _Q &d) -> std::array< _Q, 2 > |
| Cyclic quadrilateral quadrea theorem. | |
| template<typename T > | |
| constexpr auto | fun::Ptolemy (const T &quad) -> bool |
| Check Ptolemy's theorem for a cyclic quadrilateral. | |
Detailed Description
Euclidean plane functions: perpendicularity, parallelism, altitude, orthocenter, etc.
