114 lines
2.5 KiB
C++
114 lines
2.5 KiB
C++
#pragma once
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#include "Defines.h"
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#include <cmath>
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namespace td {
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namespace maths {
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//////////////////////////////////////////////////////////////////
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// Vectors //
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//////////////////////////////////////////////////////////////////
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template<typename T>
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Vec3<T> operator- (const Vec3<T>& vect) {
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return { -vect.x, -vect.y, -vect.z };
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}
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template<typename T>
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Vec3<T> operator+ (const Vec3<T>& vect, const Vec3<T>& other) {
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return { vect.x + other.x, vect.y + other.y, vect.z + other.y };
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}
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template<typename T>
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Vec3<T> operator- (const Vec3<T>& vect, const Vec3<T>& other) {
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return vect + (-other);
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}
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template<typename T>
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Vec3<T> Normalize(const Vec3<T>& vect) {
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T length = std::sqrt(vect.x * vect.x + vect.y * vect.y + vect.z * vect.z);
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return { vect.x / length, vect.y / length, vect.z / length };
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}
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template<typename T>
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T Dot(const Vec3<T>& vect, const Vec3<T>& other) {
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return vect.x * other.x + vect.y * other.y + vect.z * other.z;
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}
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template<typename T>
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Vec3<T> Cross(const Vec3<T>& vect, const Vec3<T>& other) {
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return {
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vect.y * other.z - vect.z * other.y,
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vect.z * other.x - vect.x * other.z,
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vect.x * other.y - vect.y * other.x,
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};
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}
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//////////////////////////////////////////////////////////////////
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// Matricies //
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//////////////////////////////////////////////////////////////////
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template<typename T>
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struct Mat4 {
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T x0, x1, x2, x3;
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T y0, y1, y2, y3;
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T z0, z1, z2, z3;
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T w0, w1, w2, w3;
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T operator[] (std::size_t offset) const {
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return reinterpret_cast<const T*>(this)[offset];
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}
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T& operator[] (std::size_t offset) {
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return reinterpret_cast<T*>(this)[offset];
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}
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};
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typedef Mat4<float> Mat4f;
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typedef Mat4<int> Mat4i;
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typedef Mat4<double> Mat4d;
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Mat4f Perspective(float fovY, float aspectRatio, float zNear, float zFar);
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Mat4f LookAt(const Vec3f& eye, const Vec3f& center, const Vec3f& up);
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Mat4f Dot(const Mat4f& mat, const Mat4f& other);
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template<typename T>
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Mat4<T> Identity() {
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Mat4<T> result{};
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result.x0 = static_cast<T>(1);
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result.y1 = static_cast<T>(1);
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result.z2 = static_cast<T>(1);
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result.w3 = static_cast<T>(1);
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return result;
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}
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template<typename T>
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Mat4<T> Transpose(const Mat4<T>& mat) {
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Mat4<T> result;
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result.x1 = mat.y0;
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result.x2 = mat.z0;
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result.x3 = mat.w0;
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result.y0 = mat.x1;
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result.y2 = mat.z1;
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result.y3 = mat.w1;
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result.z0 = mat.x2;
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result.z1 = mat.y2;
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result.z3 = mat.w2;
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result.w0 = mat.x3;
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result.w1 = mat.y3;
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result.w2 = mat.z3;
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return result;
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}
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} // namespace maths
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} // namespace td
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