mat_math.inl File Reference

#include "mat_math.hpp"

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Namespaces
namespace	mal_math
	Contains mathematical utility functions and classes.

Functions
template<AnyMat U>
constexpr std::istream &	mal_math::operator>> (std::istream &is, U &matrix)
	Reads a matrix from an input stream.
template<AnyMat U>
constexpr std::ostream &	mal_math::operator<< (std::ostream &os, U const &matrix)
	Writes a matrix to an output stream.
template<AnyMat U, AnyMat V> requires (U::size.x == V::size.y)
constexpr auto	mal_math::operator* (U const &lhs, V const &rhs)
	Multiplies two matrices.
template<AnyVec V, AnyMat M> requires (V::size == M::size.y)
constexpr auto	mal_math::operator* (V const &left, M const &right)
	Multiplies a vector by a matrix.
template<AnyMat M, AnyVec V> requires (M::size.x == V::size)
constexpr auto	mal_math::operator* (M const &left, V const &right)
	Multiplies a matrix by a vector.
template<AnyMat T, Primitive U>
constexpr mat< T::size.x, T::size.y, std::remove_const_t< typename T::type > >	mal_math::operator* (T const &left, U const right)
	Multiplies a matrix by a primitive.
template<AnyMat T, Primitive U>
constexpr mat< T::size.x, T::size.y, std::remove_const_t< typename T::type > >	mal_math::operator* (U const left, T const &right)
	Multiplies a matrix by a primitive.
template<AnyMat T, Primitive U>
constexpr mat< T::size.x, T::size.y, std::remove_const_t< typename T::type > >	mal_math::operator- (T const &left, U const right)
	Subtracts a matrix from a primitive.
template<AnyMat T, Primitive U>
constexpr mat< T::size.x, T::size.y, std::remove_const_t< typename T::type > >	mal_math::operator+ (U const left, T const &right)
	Adds a matrix to a primitive.
template<AnyMat T, AnyMat U> requires (T::size.x == U::size.x && T::size.y == U::size.y)
constexpr mat< T::size.x, T::size.y, std::remove_const_t< typename T::type > >	mal_math::operator- (T const left, U const &right)
	Subtracts two matrices.
template<AnyMat T, AnyMat U> requires (T::size.x == U::size.x && T::size.y == U::size.y)
constexpr mat< T::size.x, T::size.y, std::remove_const_t< typename T::type > >	mal_math::operator+ (T const &left, U const &right)
	Adds two matrices.
template<AnyMat T>
constexpr mat< T::size.y, T::size.x, std::remove_const_t< typename T::type > >	mal_math::transpose (T const &matrix)
	Transposes a matrix.
template<AnyMat T>
constexpr rmat< T::size.y, T::size.x, typename T::type >	mal_math::rtranspose (T &matrix)
	Transposes a matrix and returns a reference to it.
template<AnyMat T>
constexpr rmat< T::size.y, T::size.x, const typename T::type >	mal_math::rctranspose (T const &matrix)
	Transposes a constant matrix and returns a constant reference to it.
template<AnyMat T> requires (T::size.x == T::size.y && T::size.x == 2)
constexpr T::type	mal_math::det_2 (T const &m)
template<AnyMat T> requires (T::size.x == T::size.y && T::size.x == 3)
constexpr T::type	mal_math::det_3 (T const &m)
template<AnyMat T> requires (T::size.x == T::size.y && T::size.x == 4)
constexpr T::type	mal_math::det_4 (T const &m)
template<AnyMat T> requires (T::size.x == T::size.y)
constexpr T::type	mal_math::det (T const &matrix)
	Calculates the determinant of a square matrix.
template<AnyMat T> requires (T::size.x == T::size.y)
constexpr T::type	mal_math::determinant (T const &matrix)
	Calculates the determinant of a square matrix.
template<AnyMat T> requires (T::size.x == T::size.y)
constexpr mat< T::size.x, T::size.y, std::remove_const_t< typename T::type > >	mal_math::adj (T const &m)
	Computes the adjoint (or adjugate) of a square matrix.
template<AnyMat T> requires (T::size.x == T::size.y)
constexpr mat< T::size.x, T::size.y, std::remove_const_t< typename T::type > >	mal_math::adjugate (T const &m)
	Alias for the adj() function to compute the adjugate of a matrix.
template<AnyMat T> requires (T::size.x == T::size.y)
constexpr mat< T::size.x, T::size.y, std::remove_const_t< typename T::type > >	mal_math::inverse (T const &matrix)
	Calculates the inverse of a square matrix.
template<AnyMat T, AnyVec V> requires (T::size.x == T::size.y && T::size.x == 4 && V::size == 3)
constexpr mat< 4, 4, std::remove_const_t< typename T::type > >	mal_math::translate (T const &matrix, V const &vec)
	Translates a matrix by a given vector.
template<AnyMat T, Primitive U, AnyVec V> requires (T::size.x == T::size.y && T::size.x == 4 && V::size == 3)
constexpr mat< 4, 4, std::remove_const_t< typename T::type > >	mal_math::rotate (T const &matrix, U angle, V const &axis)
	Rotates a matrix by a given angle around a given axis.
template<AnyMat T, AnyVec V> requires (T::size.x == T::size.y && T::size.x == 4 && V::size == 3)
constexpr mat< 4, 4, std::remove_const_t< typename T::type > >	mal_math::scale (T const &matrix, V const &scale)
	Scales a matrix by a given vector.
template<AnyVec Position> requires (Position::size == 3)
constexpr mat< 4, 4, std::remove_const_t< typename Position::type > >	mal_math::look_at (Position const &eye, Position const &center, Position const &up)
	Generates a look-at matrix for camera positioning.
template<Primitive T> requires (!std::numeric_limits<T>::is_integer)
constexpr mat< 4, 4, T >	mal_math::perspective (T fov_y, T aspect_ratio, T z_near, T z_far)
	Generates a perspective projection matrix.
template<Primitive T>
constexpr mat< 4, 4, T >	mal_math::ortho (T left, T right, T bottom, T top, T zNear, T zFar)
	Generates an orthographic projection matrix.
template<Primitive T>
constexpr void	mal_math::invert_orthonormal (mat< 4, 4, T > const &src, mat< 4, 4, T > &dst)
	Inverts an orthonormal matrix in-place and stores the result in a destination matrix.
template<Primitive T>
constexpr void	mal_math::invert_orthogonal (mat< 4, 4, T > const &src, mat< 4, 4, T > &dst)
	Inverts an orthogonal matrix in-place and stores the result in a destination matrix.
template<Primitive T>
constexpr mat< 4, 4, T >	mal_math::invert_orthonormal (mat< 4, 4, T > const &src)
	Returns an inverted orthonormal matrix.
template<Primitive T>
constexpr mat< 4, 4, T >	mal_math::invert_orthogonal (mat< 4, 4, T > const &src)
	Returns an inverted orthogonal matrix.