/* * Created by Brett on 09/01/23. * Licensed under GNU General Public License V3.0 * See LICENSE file for license detail */ #ifndef BLT_MATH_H #define BLT_MATH_H #include #include namespace blt { template struct vec { private: float elements[size]{}; public: vec() { for (int i = 0; i < size; i++) elements[i] = 0; } vec(std::initializer_list args): vec() { for (int i = 0; i < args.size(); i++) { elements[i] = *(args.begin() + i); } } explicit vec(const float elem[size]) { for (int i = 0; i < size; i++) { elements[i] = elem[i]; } } vec(const vec& copy): vec(copy.elements) {} [[nodiscard]] inline float x() const {return elements[0];} [[nodiscard]] inline float y() const {return elements[1];} [[nodiscard]] inline float z() const {return elements[2];} [[nodiscard]] inline float w() const {return elements[3];} inline float& operator[](int index) { return elements[index]; } inline float operator[](int index) const { return elements[index]; } inline vec& operator=(float f) { for (int i = 0; i < size; i++) elements[i] = f; return *this; } inline vec& operator=(int i) { for (int _ = 0; _ < size; _++) elements[_] = i; return *this; } inline vec operator-() { float negativeCopy[size]; for (int i = 0; i < size; i++) negativeCopy[i] = -elements[i]; return vec{negativeCopy}; } inline vec& operator+=(const vec& other) { for (int i = 0; i < size; i++) elements[i] += other[i]; return *this; } inline vec& operator*=(const vec& other) { for (int i = 0; i < size; i++) elements[i] *= other[i]; return *this; } inline vec& operator+=(float f) { for (int i = 0; i < size; i++) elements[i] += f; return *this; } inline vec& operator*=(float f) { for (int i = 0; i < size; i++) elements[i] *= f; return *this; } inline vec& operator-=(const vec& other) { for (int i = 0; i < size; i++) elements[i] -= other[i]; return *this; } inline vec& operator-=(float f) { for (int i = 0; i < size; i++) elements[i] -= f; return *this; } /** * performs the dot product of left * right */ static inline float dot(const vec& left, const vec& right) { float dot = 0; for (int i = 0; i < size; i++) dot += left[i] * right[i]; return dot; } }; template inline vec operator+(const vec& left, const vec& right) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = left[i] + right[i]; return vec{initializer}; } template inline vec operator-(const vec& left, const vec& right) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = left[i] - right[i]; return vec{initializer}; } template inline vec operator+(const vec& left, float f) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = left[i] + f; return vec{initializer}; } template inline vec operator-(const vec& left, float f) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = left[i] + f; return vec{initializer}; } template inline vec operator+(float f, const vec& right) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = f + right[i]; return vec{initializer}; } template inline vec operator-(float f, const vec& right) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = f - right[i]; return vec{initializer}; } template inline vec operator*(const vec& left, const vec& right) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = left[i] * right[i]; return vec{initializer}; } template inline vec operator*(const vec& left, float f) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = left[i] * f; return vec{initializer}; } template inline vec operator*(float f, const vec& right) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = f * right[i]; return vec{initializer}; } template inline vec operator/(const vec& left, float f) { float initializer[size]; for (int i = 0; i < size; i++) initializer[i] = left[i] / f; return vec{initializer}; } typedef vec<2> vec2; typedef vec<3> vec3; typedef vec<4> vec4; class mat4x4 { protected: // 4x4 = 16 union dataType { float single[16]; float dim[4][4]; }; dataType data{}; friend mat4x4 operator+(const mat4x4& left, const mat4x4& right); friend mat4x4 operator-(const mat4x4& left, const mat4x4& right); friend mat4x4 operator*(const mat4x4& left, const mat4x4& right); friend mat4x4 operator*(float c, const mat4x4& v); friend mat4x4 operator*(const mat4x4& v, float c); friend mat4x4 operator/(const mat4x4& v, float c); friend mat4x4 operator/(float c, const mat4x4& v); public: mat4x4() { for (float& i : data.single) { i = 0; } // set identity matrix default m00(1); m11(1); m22(1); m33(1); } /*explicit mat4x4(glm::mat4x4 mat) { m00(mat[0][0]); m01(mat[1][0]); m02(mat[2][0]); m03(mat[3][0]); m10(mat[0][1]); m11(mat[1][1]); m12(mat[2][1]); m13(mat[3][1]); m20(mat[0][2]); m21(mat[1][2]); m22(mat[2][2]); m23(mat[3][2]); m30(mat[0][3]); m31(mat[1][3]); m32(mat[2][3]); m33(mat[3][3]); }*/ mat4x4(const mat4x4& mat) { for (int i = 0; i < 16; i++) { data.single[i] = mat.data.single[i]; } } explicit mat4x4(const float dat[16]) { for (int i = 0; i < 16; i++) { data.single[i] = dat[i]; } } inline mat4x4& translate(float x, float y, float z) { m03(x); m13(y); m23(z); return *this; } inline mat4x4& translate(const vec4& vec) { return translate(vec[0], vec[1], vec[2]); } inline mat4x4& translate(const vec3& vec) { return translate(vec[0], vec[1], vec[2]); } inline mat4x4& scale(float x, float y, float z) { m00(x); m11(y); m22(z); return *this; } inline mat4x4& scale(const vec4& vec) { return scale(vec[0], vec[1], vec[2]); } inline mat4x4& scale(const vec3& vec) { return scale(vec[0], vec[1], vec[2]); } inline float* ptr() { return data.single; } mat4x4& transpose() { mat4x4 copy{*this}; m00(copy.m00()); m01(copy.m10()); m02(copy.m20()); m03(copy.m30()); m10(copy.m01()); m11(copy.m11()); m12(copy.m21()); m13(copy.m31()); m20(copy.m02()); m21(copy.m12()); m22(copy.m22()); m23(copy.m32()); m30(copy.m03()); m31(copy.m13()); m32(copy.m23()); m33(copy.m33()); return *this; } // Due to the conversion between the 2d array -> 1d array we must transpose the values. // the old system has been archived (commented) for future debugging // [[nodiscard]] inline float m00() const { return data.dim[0][0]; } // [[nodiscard]] inline float m10() const { return data.dim[1][0]; } // [[nodiscard]] inline float m20() const { return data.dim[2][0]; } // [[nodiscard]] inline float m30() const { return data.dim[3][0]; } // [[nodiscard]] inline float m01() const { return data.dim[0][1]; } // [[nodiscard]] inline float m11() const { return data.dim[1][1]; } // [[nodiscard]] inline float m21() const { return data.dim[2][1]; } // [[nodiscard]] inline float m31() const { return data.dim[3][1]; } // [[nodiscard]] inline float m02() const { return data.dim[0][2]; } // [[nodiscard]] inline float m12() const { return data.dim[1][2]; } // [[nodiscard]] inline float m22() const { return data.dim[2][2]; } // [[nodiscard]] inline float m32() const { return data.dim[3][2]; } // [[nodiscard]] inline float m03() const { return data.dim[0][3]; } // [[nodiscard]] inline float m13() const { return data.dim[1][3]; } // [[nodiscard]] inline float m23() const { return data.dim[2][3]; } // [[nodiscard]] inline float m33() const { return data.dim[3][3]; } // [[nodiscard]] inline float m(int i, int j) const { return data.dim[i][j]; }; // inline float m00(float d) { return data.dim[0][0] = d; } // inline float m10(float d) { return data.dim[1][0] = d; } // inline float m20(float d) { return data.dim[2][0] = d; } // inline float m30(float d) { return data.dim[3][0] = d; } // inline float m01(float d) { return data.dim[0][1] = d; } // inline float m11(float d) { return data.dim[1][1] = d; } // inline float m21(float d) { return data.dim[2][1] = d; } // inline float m31(float d) { return data.dim[3][1] = d; } // inline float m02(float d) { return data.dim[0][2] = d; } // inline float m12(float d) { return data.dim[1][2] = d; } // inline float m22(float d) { return data.dim[2][2] = d; } // inline float m32(float d) { return data.dim[3][2] = d; } // inline float m03(float d) { return data.dim[0][3] = d; } // inline float m13(float d) { return data.dim[1][3] = d; } // inline float m23(float d) { return data.dim[2][3] = d; } // inline float m33(float d) { return data.dim[3][3] = d; } [[nodiscard]] inline float m00() const { return data.dim[0][0]; } [[nodiscard]] inline float m10() const { return data.dim[0][1]; } [[nodiscard]] inline float m20() const { return data.dim[0][2]; } [[nodiscard]] inline float m30() const { return data.dim[0][3]; } [[nodiscard]] inline float m01() const { return data.dim[1][0]; } [[nodiscard]] inline float m11() const { return data.dim[1][1]; } [[nodiscard]] inline float m21() const { return data.dim[1][2]; } [[nodiscard]] inline float m31() const { return data.dim[1][3]; } [[nodiscard]] inline float m02() const { return data.dim[2][0]; } [[nodiscard]] inline float m12() const { return data.dim[2][1]; } [[nodiscard]] inline float m22() const { return data.dim[2][2]; } [[nodiscard]] inline float m32() const { return data.dim[2][3]; } [[nodiscard]] inline float m03() const { return data.dim[3][0]; } [[nodiscard]] inline float m13() const { return data.dim[3][1]; } [[nodiscard]] inline float m23() const { return data.dim[3][2]; } [[nodiscard]] inline float m33() const { return data.dim[3][3]; } [[nodiscard]] inline float m(int i, int j) const { return data.dim[i][j]; }; inline float m00(float d) { return data.dim[0][0] = d; } inline float m10(float d) { return data.dim[0][1] = d; } inline float m20(float d) { return data.dim[0][2] = d; } inline float m30(float d) { return data.dim[0][3] = d; } inline float m01(float d) { return data.dim[1][0] = d; } inline float m11(float d) { return data.dim[1][1] = d; } inline float m21(float d) { return data.dim[1][2] = d; } inline float m31(float d) { return data.dim[1][3] = d; } inline float m02(float d) { return data.dim[2][0] = d; } inline float m12(float d) { return data.dim[2][1] = d; } inline float m22(float d) { return data.dim[2][2] = d; } inline float m32(float d) { return data.dim[2][3] = d; } inline float m03(float d) { return data.dim[3][0] = d; } inline float m13(float d) { return data.dim[3][1] = d; } inline float m23(float d) { return data.dim[3][2] = d; } inline float m33(float d) { return data.dim[3][3] = d; } inline float m(int i, int j, float d) { return data.dim[i][j] = d; }; // inline float* operator [](int _i) { // return data.dim[_i]; // } [[nodiscard]] float determinant() const { return m00() * (m11() * m22() * m33() + m12() * m23() * m31() + m13() * m21() * m32() - m31() * m22() * m13() - m32() * m23() * m11() - m33() * m21() * m12()) - m10() * (m01() * m22() * m33() + m02() * m23() * m31() + m03() * m21() * m32() - m31() * m32() * m03() - m32() * m23() * m01() - m33() * m21() * m02()) + m20() * (m01() * m12() * m33() + m02() * m13() * m31() + m03() * m11() * m32() - m31() * m12() * m03() - m32() * m13() * m01() - m33() * m11() * m02()) - m30() * (m01() * m12() * m23() + m02() * m13() * m21() + m03() * m11() * m22() - m21() * m12() * m03() - m22() * m13() * m01() - m23() * m11() * m02()); } }; // adds the two mat4x4 left and right inline mat4x4 operator+(const mat4x4& left, const mat4x4& right) { float data[16]; for (int i = 0; i < 16; i++) data[i] = left.data.single[i] + right.data.single[i]; return mat4x4{data}; } // subtracts the right mat4x4 from the left. inline mat4x4 operator-(const mat4x4& left, const mat4x4& right) { float data[16]; for (int i = 0; i < 16; i++) data[i] = left.data.single[i] - right.data.single[i]; return mat4x4{data}; } // since matrices are made identity by default, we need to create the result collector matrix without identity // otherwise the diagonal will be 1 off and cause weird results (see black screen issue) constexpr float emptyMatrix[16] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; // multiples the left with the right inline mat4x4 operator*(const mat4x4& left, const mat4x4& right) { mat4x4 mat{emptyMatrix}; // TODO: check avx with this?? for (int i = 0; i < 4; i++) { for (int j = 0; j < 4; j++) { for (int k = 0; k < 4; k++) { mat.m(i, j, mat.m(i, j) + left.m(i, k) * right.m(k, j)); } } } return mat; } // multiplies the const c with each element in the mat4x4 v inline mat4x4 operator*(float c, const mat4x4& v) { mat4x4 mat{}; for (int i = 0; i < 16; i++) { mat.data.single[i] = c * v.data.single[i]; } return mat; } // same as above but for right sided constants inline mat4x4 operator*(const mat4x4& v, float c) { mat4x4 mat{}; for (int i = 0; i < 16; i++) { mat.data.single[i] = v.data.single[i] * c; } return mat; } // divides the mat4x4 by the constant c inline mat4x4 operator/(const mat4x4& v, float c) { mat4x4 mat{}; for (int i = 0; i < 16; i++) { mat.data.single[i] = v.data.single[i] / c; } return mat; } // divides each element in the mat4x4 by over the constant inline mat4x4 operator/(float c, const mat4x4& v) { mat4x4 mat{}; for (int i = 0; i < 16; i++) { mat.data.single[i] = c / v.data.single[i]; } return mat; } // https://www.scratchapixel.com/lessons/3d-basic-rendering/perspective-and-orthographic-projection-matrix/building-basic-perspective-projection-matrix.html // https://ogldev.org/www/tutorial12/tutorial12.html static inline mat4x4 perspective(float fov, float aspect_ratio, float near, float far){ mat4x4 perspectiveMat4x4 {emptyMatrix}; float oneOverNearMFar = 1.0f / (near - far); float halfTan = tanf(fov * 0.5f * (float)M_PI / 180.0f); // this should be all it takes to create a mostly correct projection matrix // the values are transposed because my matrix implementation is terrible. // TODO: redo matrix implementation perspectiveMat4x4.m00(float(1.0 / (aspect_ratio * halfTan))); perspectiveMat4x4.m11(float(1.0 / halfTan)); perspectiveMat4x4.m22(float(-((far + near) / (far - near)))); perspectiveMat4x4.m32(-1); perspectiveMat4x4.m23(float(-((2 * near * far) / (far - near)))); return perspectiveMat4x4; } // inline std::ostream& operator<<(std::ostream& out, const mat4x4& v) { // return out << "\rMatrix4x4{" << v.m00() << ", " << v.m01() << ", " << v.m02() << ", " << v.m03() << "} \n"\ // << " {" << v.m10() << ", " << v.m11() << ", " << v.m12() << ", " << v.m13() << "} \n"\ // << " {" << v.m20() << ", " << v.m21() << ", " << v.m22() << ", " << v.m23() << "} \n"\ // << " {" << v.m30() << ", " << v.m31() << ", " << v.m32() << ", " << v.m33() << "} \n"; // } } #endif //BLT_MATH_H