quaternion.inl File Reference

#include "quaternion.hpp"

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Namespaces
namespace	mal_math
	Contains mathematical utility functions and classes.

Functions
template<Primitive T>
constexpr std::istream &	mal_math::operator>> (std::istream &is, qua< T > &vec)
template<Primitive T>
constexpr std::ostream &	mal_math::operator<< (std::ostream &os, qua< T > &vec)
template<Primitive T, Primitive U>
constexpr qua< T >	mal_math::operator* (U const value, qua< T > const &vector) noexcept
	Scalar-quaternion multiplication.
template<Primitive T, Primitive U>
constexpr qua< T >	mal_math::operator/ (U const value, qua< T > const &vector) noexcept
	Scalar-quaternion division.
template<Primitive T, Primitive U>
constexpr qua< T >	mal_math::operator* (qua< T > const &vector, U const value) noexcept
	Quaternion-scalar multiplication.
template<Primitive T, Primitive U>
constexpr qua< T >	mal_math::operator/ (qua< T > const &vector, U const value) noexcept
	Quaternion-scalar division.
template<Primitive T, Primitive U>
constexpr qua< T >	mal_math::operator+ (qua< T > const &left, qua< U > const &right) noexcept
	Quaternion addition.
template<Primitive T, Primitive U>
constexpr qua< T >	mal_math::operator- (qua< T > const &left, qua< U > const &right) noexcept
	Quaternion subtraction.
template<Primitive T, Primitive U>
constexpr qua< T >	mal_math::operator* (qua< T > const &left, qua< U > const &right) noexcept
	Quaternion multiplication.
template<Primitive T, Primitive U>
constexpr qua< T >	mal_math::operator/ (qua< T > const &left, qua< U > const &right) noexcept
	Quaternion division.
template<Primitive T, Primitive U>
constexpr T	mal_math::dot (qua< T > const &left, qua< U > const &right) noexcept
	Computes the dot product of two quaternions.
template<Primitive T>
constexpr T	mal_math::angle (qua< T > const &quaternion) noexcept
	Computes the angle (or magnitude) of a quaternion.
template<Primitive T>
constexpr T	mal_math::pitch (qua< T > const &quaternion) noexcept
	Computes the pitch from a quaternion.
template<Primitive T>
constexpr T	mal_math::yaw (qua< T > const &quaternion) noexcept
	Computes the yaw from a quaternion.
template<Primitive T>
constexpr T	mal_math::roll (qua< T > const &quaternion) noexcept
	Computes the roll from a quaternion.
template<Primitive T>
constexpr vec< 3, T >	mal_math::QuaternionToEuler (qua< T > const &quaternion) noexcept
	Converts a quaternion to Euler angles.
template<Primitive T>
qua< T > constexpr	mal_math::conjugate (qua< T > const &q) noexcept
	Computes the conjugate of a quaternion.
template<Primitive T>
qua< T > constexpr	mal_math::inverse (qua< T > const &q) noexcept
	Computes the inverse of a quaternion.
template<Primitive T, Primitive U>
constexpr vec< 3, T >	mal_math::cross (qua< T > const &left, vec< 3, U > const &right) noexcept
	Cross product between quaternion and vector.
template<Primitive T, Primitive U>
constexpr vec< 3, T >	mal_math::cross (vec< 3, U > const &left, qua< T > const &right) noexcept
	Cross product between vector and quaternion.
template<Primitive T, Primitive U>
constexpr qua< T >	mal_math::cross (qua< T > const &left, qua< U > const &right) noexcept
	Computes the cross product of two quaternions.
template<Primitive T>
constexpr qua< T >	mal_math::QuaternionFromEuler (vec< 3, T > const &angles) noexcept
	Creates a quaternion from Euler angles given in a vector.
template<Primitive T> requires (std::is_floating_point_v<T>)
constexpr qua< T >	mal_math::QuaternionFromEuler (T roll, T pitch, T yaw) noexcept
	Creates a quaternion from individual Euler angles.
template<AnyMat U> requires (U::size.x == 3 && U::size.y == 3 && std::is_floating_point_v<typename U::type>)
constexpr qua< typename U::type >	mal_math::QuaternionFromRotationMatrix (U const &mat) noexcept
	Creates a quaternion from a 3x3 rotation matrix.
template<Primitive T>
constexpr qua< T >	mal_math::operator* (qua< T > const &q, qua< T > const &p) noexcept
	Quaternion-Quaternion multiplication.
template<Primitive T>
constexpr vec< 3, T >	mal_math::operator* (qua< T > const &q, vec< 3, T > const &v) noexcept
	Quaternion-Vector multiplication.
template<Primitive T>
constexpr vec< 3, T >	mal_math::operator* (vec< 3, T > const &v, qua< T > const &q) noexcept
	Vector-Quaternion multiplication.
template<Primitive T>
constexpr qua< T >	mal_math::rotate (mat< 4, 4, T > const &matrix, qua< T > const &q) noexcept
	Rotates a 4x4 matrix using a quaternion.
template<Primitive T>
constexpr T	mal_math::length (qua< T > const &q) noexcept
	Computes the length (or magnitude) of a quaternion.
template<Primitive T>
constexpr qua< T >	mal_math::normalize (qua< T > const &q) noexcept
	Normalizes a quaternion.