coordinates.hpp File Reference

#include <engine/geom/primitives/point.hpp>
#include <bit>
#include <cstdint>
#include <cmath>

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Namespaces
	geom
	Geometric algorithms.

Enumerations
enum class	geom::triangle_region : std::uint8_t {   geom::abc = 0b000 , geom::ab = 0b100 , geom::bc = 0b001 , geom::ca = 0b010 ,   geom::a = 0b110 , geom::b = 0b101 , geom::c = 0b011 }
	Voronoi regions of a triangle. More...

Functions
constexpr bool	geom::is_face_region (triangle_region region) noexcept
	Checks whether a triangle voronoi region is a face region. More...
constexpr bool	geom::is_edge_region (triangle_region region) noexcept
	Checks whether a triangle voronoi region is an edge region. More...
constexpr bool	geom::is_vertex_region (triangle_region region) noexcept
	Checks whether a triangle voronoi region is a vertex region. More...
constexpr std::uint8_t	geom::edge_index (triangle_region region) noexcept
	Returns the edge index of an edge region. More...
constexpr std::uint8_t	geom::vertex_index (triangle_region region) noexcept
	Returns the vertex index of a vertex region. More...
template<class T >
constexpr triangle_region	geom::barycentric_to_region (const point< T, 3 > &p) noexcept
	Classifies barycentric coordinates according to their Voronoi region. More...
template<class T >
constexpr point< T, 3 >	geom::barycentric_to_cartesian (const point< T, 3 > &p, const point< T, 3 > &a, const point< T, 3 > &b, const point< T, 3 > &c) noexcept
	Converts Cartesian coordinates to barycentric coordinates. More...
template<class T >
constexpr point< T, 3 >	geom::cartesian_to_barycentric (const point< T, 3 > &p, const point< T, 3 > &a, const point< T, 3 > &b, const point< T, 3 > &c) noexcept
	Converts Cartesian coordinates to barycentric coordinates. More...
template<class T >
point< T, 3 >	geom::cartesian_to_spherical (const point< T, 3 > &p)
	Converts Cartesian (rectangular) coordinates to spherical coordinates. More...
template<class T >
point< T, 3 >	geom::spherical_to_cartesian (const point< T, 3 > &p)
	Converts spherical coordinates to Cartesian (rectangular) coordinates. More...