Classes
struct	hyperplane
	n-dimensional plane. More...

struct	hyperrectangle
	n-dimensional axis-aligned rectangle. More...

struct	hypersphere
	n-dimensional sphere. More...

struct	line_segment
	n-dimensional line segment. More...

struct	ray
	Half of a line proceeding from an initial point. More...

Typedefs
template<class T >
using	box = hyperrectangle< T, 3 >
	3-dimensional hyperrectangle. More...

template<class T >
using	circle = hypersphere< T, 2 >
	2-dimensional hypersphere. More...

template<class T >
using	line = hyperplane< T, 2 >
	2-dimensional hyperplane. More...

template<class T >
using	plane = hyperplane< T, 3 >
	3-dimensional hyperplane. More...

template<class T >
using	rectangle = hyperrectangle< T, 2 >
	2-dimensional hyperrectangle. More...

template<class T >
using	sphere = hypersphere< T, 3 >
	3-dimensional hypersphere. More...

Functions
template<class T , std::size_t N>
std::optional< std::tuple< T, T > >	intersection (const ray< T, N > &ray, const hypersphere< T, N > &hypersphere) noexcept
	Ray-hypersphere intersection test. More...

template<class T , std::size_t N>
constexpr bool	intersection (const hyperrectangle< T, N > &a, const hyperrectangle< T, N > &b) noexcept
	Hyperrectangle-hyperrectangle intersection test. More...

template<class T , std::size_t N>
constexpr bool	intersection (const hypersphere< T, N > &a, const hypersphere< T, N > &b) noexcept
	Hypersphere-hypersphere intersection test. More...


template<class T , std::size_t N>
constexpr std::optional< T >	intersection (const ray< T, N > &ray, const hyperplane< T, N > &hyperplane) noexcept
	Ray-hyperplane intersection test. More...

template<class T , std::size_t N>
constexpr std::optional< T >	intersection (const hyperplane< T, N > &hyperplane, const ray< T, N > &ray) noexcept
	Ray-hyperplane intersection test. More...


template<class T , std::size_t N>
constexpr std::optional< std::tuple< T, T > >	intersection (const ray< T, N > &ray, const hyperrectangle< T, N > &hyperrectangle) noexcept
	Ray-hyperrectangle intersection test. More...

template<class T , std::size_t N>
constexpr std::optional< std::tuple< T, T > >	intersection (const hyperrectangle< T, N > &hyperrectangle, const ray< T, N > &ray) noexcept
	Ray-hyperrectangle intersection test. More...


template<class T , std::size_t N>
constexpr bool	intersection (const hyperrectangle< T, N > &hyperrectangle, const hypersphere< T, N > &hypersphere) noexcept
	Hyperrectangle-hypersphere intersection test. More...

template<class T , std::size_t N>
constexpr bool	intersection (const hypersphere< T, N > &hypersphere, const hyperrectangle< T, N > &hyperrectangle) noexcept
	Hyperrectangle-hypersphere intersection test. More...

Typedef Documentation

◆ box

template<class T >

using geom::primitive::box = typedef hyperrectangle<T, 3>

3-dimensional hyperrectangle.

Template Parameters

T	Real type.

Definition at line 34 of file box.hpp.

◆ circle

template<class T >

using geom::primitive::circle = typedef hypersphere<T, 2>

2-dimensional hypersphere.

Template Parameters

T	Real type.

Definition at line 34 of file circle.hpp.

◆ line

template<class T >

using geom::primitive::line = typedef hyperplane<T, 2>

2-dimensional hyperplane.

Template Parameters

T	Real type.

Definition at line 34 of file line.hpp.

◆ plane

template<class T >

using geom::primitive::plane = typedef hyperplane<T, 3>

3-dimensional hyperplane.

Template Parameters

T	Real type.

Definition at line 34 of file primitives/plane.hpp.

◆ rectangle

template<class T >

using geom::primitive::rectangle = typedef hyperrectangle<T, 2>

2-dimensional hyperrectangle.

Template Parameters

T	Real type.

Definition at line 34 of file rectangle.hpp.

◆ sphere

template<class T >

using geom::primitive::sphere = typedef hypersphere<T, 3>

3-dimensional hypersphere.

Template Parameters

T	Real type.

Definition at line 34 of file primitives/sphere.hpp.

Function Documentation

◆ intersection() [1/9]

template<class T , std::size_t N>

constexpr std::optional<T> geom::primitive::intersection	(	const hyperplane< T, N > &	hyperplane,
		const ray< T, N > &	ray
	)

inlineconstexprnoexcept

Ray-hyperplane intersection test.

Parameters

ray	Ray.
hyperplane	Hyperplane.

Returns: Distance along the ray to the point of intersection, or std::nullopt if no intersection occurred.

Definition at line 57 of file primitives/intersection.hpp.

◆ intersection() [2/9]

template<class T , std::size_t N>

constexpr bool geom::primitive::intersection	(	const hyperrectangle< T, N > &	a,
		const hyperrectangle< T, N > &	b
	)

inlineconstexprnoexcept

Hyperrectangle-hyperrectangle intersection test.

Parameters

a	First hyperrectangle.
b	Second hyperrectangle.

Returns: true if an intersection occurred, false otherwise.

Definition at line 148 of file primitives/intersection.hpp.

◆ intersection() [3/9]

template<class T , std::size_t N>

constexpr bool geom::primitive::intersection	(	const hyperrectangle< T, N > &	hyperrectangle,
		const hypersphere< T, N > &	hypersphere
	)

constexprnoexcept

Hyperrectangle-hypersphere intersection test.

Parameters

hyperrectangle	Hyperrectangle.
hypersphere	Hypersphere.

Returns: true if an intersection occurred, false otherwise.

Definition at line 163 of file primitives/intersection.hpp.

◆ intersection() [4/9]

template<class T , std::size_t N>

constexpr std::optional<std::tuple<T, T> > geom::primitive::intersection	(	const hyperrectangle< T, N > &	hyperrectangle,
		const ray< T, N > &	ray
	)

inlineconstexprnoexcept

Ray-hyperrectangle intersection test.

Parameters

ray	Ray.
hyperrectangle	Hyperrectangle.

Returns: Tuple containing the distances along the ray to the first and second points of intersection, or std::nullopt if no intersection occurred.

Definition at line 101 of file primitives/intersection.hpp.

◆ intersection() [5/9]

template<class T , std::size_t N>

constexpr bool geom::primitive::intersection	(	const hypersphere< T, N > &	a,
		const hypersphere< T, N > &	b
	)

inlineconstexprnoexcept

Hypersphere-hypersphere intersection test.

Parameters

a	First hypersphere.
b	Second hypersphere.

Returns: true if an intersection occurred, false otherwise.

Definition at line 199 of file primitives/intersection.hpp.

◆ intersection() [6/9]

template<class T , std::size_t N>

constexpr bool geom::primitive::intersection	(	const hypersphere< T, N > &	hypersphere,
		const hyperrectangle< T, N > &	hyperrectangle
	)

inlineconstexprnoexcept

Hyperrectangle-hypersphere intersection test.

Parameters

hyperrectangle	Hyperrectangle.
hypersphere	Hypersphere.

Returns: true if an intersection occurred, false otherwise.

Definition at line 184 of file primitives/intersection.hpp.

◆ intersection() [7/9]

template<class T , std::size_t N>

constexpr std::optional<T> geom::primitive::intersection	(	const ray< T, N > &	ray,
		const hyperplane< T, N > &	hyperplane
	)

constexprnoexcept

Ray-hyperplane intersection test.

Parameters

ray	Ray.
hyperplane	Hyperplane.

Returns: Distance along the ray to the point of intersection, or std::nullopt if no intersection occurred.

Definition at line 43 of file primitives/intersection.hpp.

◆ intersection() [8/9]

template<class T , std::size_t N>

constexpr std::optional<std::tuple<T, T> > geom::primitive::intersection	(	const ray< T, N > &	ray,
		const hyperrectangle< T, N > &	hyperrectangle
	)

constexprnoexcept

Ray-hyperrectangle intersection test.

Parameters

ray	Ray.
hyperrectangle	Hyperrectangle.

Returns: Tuple containing the distances along the ray to the first and second points of intersection, or std::nullopt if no intersection occurred.

Definition at line 73 of file primitives/intersection.hpp.

◆ intersection() [9/9]

template<class T , std::size_t N>

std::optional<std::tuple<T, T> > geom::primitive::intersection	(	const ray< T, N > &	ray,
		const hypersphere< T, N > &	hypersphere
	)

noexcept

Ray-hypersphere intersection test.

Parameters

ray	Ray.
hypersphere	Hypersphere.

Returns: Tuple containing the distances along the ray to the first and second points of intersection, or std::nullopt if no intersection occurred.

Definition at line 116 of file primitives/intersection.hpp.

Classes

Typedefs

Functions

Typedef Documentation

◆ box

◆ circle

◆ line

◆ plane

◆ rectangle

◆ sphere

Function Documentation

◆ intersection() [1/9]

◆ intersection() [2/9]

◆ intersection() [3/9]

◆ intersection() [4/9]

◆ intersection() [5/9]

◆ intersection() [6/9]

◆ intersection() [7/9]

◆ intersection() [8/9]

◆ intersection() [9/9]