math.hpp File Reference

Defines various useful N dimensional structures such as matrices and vectors as well as helper functions. More...

#include <cassert>
#include <cmath>
#include <random>
#include <chrono>
#include <stdexcept>
#include <string.h>
#include "Renderer.hpp"

Go to the source code of this file.

Classes
struct	dz::vec< T, N >
	Template struct representing an N-dimensional vector of type T. More...
struct	dz::color_vec< T, N >
struct	dz::mat< T, C, R >
	A generic fixed-size matrix template supporting common matrix operations. More...
struct	dz::Random
	Utility class for generating random values with optional seeding and support for multiple numeric types. More...
struct	dz::AABB< T, N >
	Axis-Aligned Bounding Box (AABB) template structure. More...
struct	dz::quat< T >
	A quaternion class for representing rotations in 3D space. More...

Namespaces
namespace	dz

Functions
template<typename T>
mat< T, 4, 4 >	dz::lookAt (const vec< T, 3 > &eye, const vec< T, 3 > &center, const vec< T, 3 > &up)
	Constructs a right-handed view matrix simulating a camera "look at" transform.
template<typename T>
mat< T, 4, 4 >	dz::perspectiveRH_ZO (T fovy, T aspect, T zNear, T zFar)
template<typename T>
mat< T, 4, 4 >	dz::perspectiveRH_NO (T fovy, T aspect, T zNear, T zFar)
template<typename T>
mat< T, 4, 4 >	dz::perspectiveLH_ZO (T fovy, T aspect, T zNear, T zFar)
template<typename T>
mat< T, 4, 4 >	dz::perspectiveLH_NO (T fovy, T aspect, T zNear, T zFar)
template<typename T>
mat< T, 4, 4 >	dz::perspective (T fovy, T aspect, T zNear, T zFar)
	Creates a perspective projection matrix suitable for rendering 3D scenes.
template<typename T>
mat< T, 4, 4 >	dz::infinitePerspectiveRH_NO (T fovy, T aspect, T zNear)
template<typename T>
mat< T, 4, 4 >	dz::infinitePerspectiveRH_ZO (T fovy, T aspect, T zNear)
template<typename T>
mat< T, 4, 4 >	dz::infinitePerspectiveLH_NO (T fovy, T aspect, T zNear)
template<typename T>
mat< T, 4, 4 >	dz::infinitePerspectiveLH_ZO (T fovy, T aspect, T zNear)
template<typename T>
mat< T, 4, 4 >	dz::infinitePerspective (T fovy, T aspect, T zNear)
	Creates an infinite perspective projection matrix.
template<typename T>
mat< T, 4, 4 >	dz::orthographic (T left, T right, T bottom, T top, T znear, T zfar)
	Creates an orthographic projection matrix.
template<typename T>
T	dz::radians (T degrees)
	Converts an angle from degrees to radians.
template<typename T>
T	dz::degrees (T radians)
	Converts an angle from radians to degrees.
template<typename T>
mat< T, 3, 3 >	dz::quat_to_mat3 (const quat< T > &q)
template<typename T>
quat< T >	dz::slerp (const quat< T > &a, const quat< T > &b, T t)
	Spherical linear interpolation between two quaternions.
template<typename T>
quat< T >	dz::quat_from_axis_angle (const vec< T, 3 > &axis, T angle)
	Constructs a quaternion from an axis-angle representation.
template<typename T>
mat< T, 4, 4 >	dz::quat_to_mat4 (const quat< T > &q)
	Converts a quaternion to a 4x4 rotation matrix.

Detailed Description

Defines various useful N dimensional structures such as matrices and vectors as well as helper functions.