jau::math Namespace Reference

Namespaces
namespace	geom
namespace	util

Classes
class	FovHVHalves
	Horizontal and vertical field of view (FOV) halves, allowing a non-centered projection. More...
class	MathDivByZeroError
	math_error_t::div_by_zero, i.e. More...
class	MathDomainError
	math_error_t::invalid More...
class	MathError
class	MathInexactError
	math_error_t::inexact More...
class	MathOverflowError
	math_error_t::overflow More...
class	MathUnderflowError
	math_error_t::underflow More...
class	Matrix4
	Basic 4x4 value_type matrix implementation using fields for intensive use-cases (host operations). More...
class	Quaternion
	Quaternion implementation supporting Gimbal-Lock free rotations. More...
class	Ray2F
	Simple compound denoting a ray. More...
struct	Ray3F
	Simple compound denoting a ray. More...
class	RectI
	Rectangle with x, y, width and height integer components. More...
class	Vector2F
	2D vector using two value_type components. More...
struct	Vector2I
	2D vector using two integer components. More...
class	Vector3F
	3D vector using three value_type components. More...
class	Vector4F
	4D vector using four value_type components. More...

Typedefs
typedef Matrix4< float >	Mat4f
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
using	Point2F = Vector2F< T >
	Point2F alias of Vector2F. More...
typedef Point2F< float >	Point2f
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
using	Point3F = Vector3F< T >
	Point3F alias of Vector3F. More...
typedef Point3F< float >	Point3f
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
using	Point4F = Vector4F< T >
	Point4F alias of Vector4F. More...
typedef Point4F< float >	Point4f
typedef Quaternion< float >	Quat4f
typedef Ray2F< float >	Ray2f
typedef Ray3F< float >	Ray3f
typedef RectI< int >	Recti
typedef Vector2F< float >	Vec2f
typedef Vector2I< int >	Vec2i
typedef Vector3F< float >	Vec3f
typedef Vector4F< float >	Vec4f

Enumerations
enum class	math_error_t {   math_error_t::invalid , math_error_t::div_by_zero , math_error_t::overflow , math_error_t::underflow ,   math_error_t::inexact }
	Error types as specified by C++ Math Error Handling More...

Functions
template<typename T , std::enable_if_t< std::numeric_limits< T >::is_integer, bool > = true>
constexpr Vector2I< T >	operator* (const float s, const Vector2I< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Matrix4< T >	operator* (const Matrix4< T > &lhs, const Matrix4< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Matrix4< T >	operator* (const Matrix4< T > &lhs, const T s) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Quaternion< T >	operator* (const Quaternion< T > &lhs, const Quaternion< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Quaternion< T >	operator* (const Quaternion< T > &lhs, const T s) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Matrix4< T >	operator* (const T s, const Matrix4< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Quaternion< T >	operator* (const T s, const Quaternion< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector2F< T >	operator* (const T s, const Vector2F< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector3F< T >	operator* (const T s, const Vector3F< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector4F< T >	operator* (const T s, const Vector4F< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector2F< T >	operator* (const Vector2F< T > &lhs, const T s) noexcept
template<typename T , std::enable_if_t< std::numeric_limits< T >::is_integer, bool > = true>
constexpr Vector2I< T >	operator* (const Vector2I< T > &lhs, const float s) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector3F< T >	operator* (const Vector3F< T > &lhs, const T s) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector4F< T >	operator* (const Vector4F< T > &lhs, const T s) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Quaternion< T >	operator+ (const Quaternion< T > &lhs, const Quaternion< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector2F< T >	operator+ (const Vector2F< T > &lhs, const Vector2F< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::numeric_limits< T >::is_integer, bool > = true>
constexpr Vector2I< T >	operator+ (const Vector2I< T > &lhs, const Vector2I< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector3F< T >	operator+ (const Vector3F< T > &lhs, const Vector3F< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector4F< T >	operator+ (const Vector4F< T > &lhs, const Vector4F< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Quaternion< T >	operator- (const Quaternion< T > &lhs, const Quaternion< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector2F< T >	operator- (const Vector2F< T > &lhs, const Vector2F< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::numeric_limits< T >::is_integer, bool > = true>
constexpr Vector2I< T >	operator- (const Vector2I< T > &lhs, const Vector2I< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector3F< T >	operator- (const Vector3F< T > &lhs, const Vector3F< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector4F< T >	operator- (const Vector4F< T > &lhs, const Vector4F< T > &rhs) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector2F< T >	operator/ (const Vector2F< T > &lhs, const T s) noexcept
template<typename T , std::enable_if_t< std::numeric_limits< T >::is_integer, bool > = true>
constexpr Vector2I< T >	operator/ (const Vector2I< T > &lhs, const float s) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector3F< T >	operator/ (const Vector3F< T > &lhs, const T s) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector4F< T >	operator/ (const Vector4F< T > &lhs, const T s) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
std::ostream &	operator<< (std::ostream &out, const Matrix4< T > &v) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
std::ostream &	operator<< (std::ostream &out, const Quaternion< T > &v) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
std::ostream &	operator<< (std::ostream &out, const Ray2F< T > &v) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
std::ostream &	operator<< (std::ostream &out, const Ray3F< T > &v) noexcept
template<typename T , std::enable_if_t< std::numeric_limits< T >::is_integer, bool > = true>
std::ostream &	operator<< (std::ostream &out, const RectI< T > &v) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
std::ostream &	operator<< (std::ostream &out, const Vector2F< T > &v) noexcept
template<typename T , std::enable_if_t< std::numeric_limits< T >::is_integer, bool > = true>
std::ostream &	operator<< (std::ostream &out, const Vector2I< T > &v) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
std::ostream &	operator<< (std::ostream &out, const Vector3F< T > &v) noexcept
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
std::ostream &	operator<< (std::ostream &out, const Vector4F< T > &v) noexcept
std::string	to_string (const math_error_t v) noexcept
	Returns std::string representation of math_error_t. More...
template<typename T , std::enable_if_t< std::is_floating_point_v< T >, bool > = true>
constexpr Vector3F< T >	to_vec3 (const Vector4F< T > &v) noexcept
	out = { this.x, this.y, this.z } dropping w, returns out. More...