#ifndef CQUATERNION_HPP #define CQUATERNION_HPP #include "Global.hpp" #include "CAxisAngle.hpp" #include "CVector3f.hpp" #include "CVector4f.hpp" #include #include namespace Zeus { class ZE_ALIGN(16) CQuaternion { public: ZE_DECLARE_ALIGNED_ALLOCATOR(); CQuaternion() : r(1.0f) {} CQuaternion(float r, float x, float y, float z) : r(r), v(x, y, z){} CQuaternion(float x, float y, float z) { fromVector3f(CVector3f(x, y, z)); } CQuaternion(float r, const CVector3f& vec) : r(r), v(vec){} CQuaternion(Athena::io::IStreamReader& input) { r = input.readFloat(); v = CVector3f(input);} CQuaternion(const CVector3f& vec) { fromVector3f(vec); } CQuaternion(const CVector4f& vec) : r(vec.w) { #if __SSE__ v.mVec128 = vec.mVec128; v.v[3] = 0; #else v.x = vec.x; v.y = vec.y; v.z = vec.z; #endif } virtual ~CQuaternion() {} void fromVector3f(const CVector3f& vec); CQuaternion& operator=(const CQuaternion& q); CQuaternion operator+(const CQuaternion& q) const; CQuaternion operator-(const CQuaternion& q) const; CQuaternion operator*(const CQuaternion& q) const; CQuaternion operator/(const CQuaternion& q) const; CQuaternion operator*(float scale) const; CQuaternion operator/(float scale) const; CQuaternion operator-() const; const CQuaternion& operator+=(const CQuaternion& q); const CQuaternion& operator-=(const CQuaternion& q); const CQuaternion& operator*=(const CQuaternion& q); const CQuaternion& operator*=(float scale); const CQuaternion& operator/=(float scale); float magnitude() const; float magSquared() const; void normalize(); CQuaternion normalized() const; void invert(); CQuaternion inverse() const; /** * @brief Set the rotation using axis angle notation * @param axis The axis to rotate around * @param angle The magnitude of the rotation in radians * @return */ static inline CQuaternion fromAxisAngle(const CVector3f& axis, float angle) { return CQuaternion(cosf(angle/2), axis*sinf(angle/2)); } CAxisAngle toAxisAngle(); static inline CVector3f rotate(const CQuaternion& rotation, const CVector3f& v) { CQuaternion q = rotation * v; q *= rotation.inverse(); return q.v; } CQuaternion log() const; CQuaternion exp() const; float dot(const CQuaternion& quat); static CQuaternion lerp(CQuaternion& a, CQuaternion& b, double t); static CQuaternion slerp(CQuaternion& a, CQuaternion& b, double t); static CQuaternion nlerp(CQuaternion& a, CQuaternion& b, double t); inline float roll() const { return atan2f(2.0 * (v.x * v.y + r * v.z), r * r + v.x * v.x - v.y * v.y - v.z * v.z); } inline float pitch() const { return atan2f(2.0 * (v.y * v.z + r * v.x), r * r - v.x * v.x - v.y * v.y + v.z * v.z); } inline float yaw() const { return asinf(-2.0 * (v.x * v.z - r * v.y)); } float r; CVector3f v; }; CQuaternion operator+(float lhs, const CQuaternion& rhs); CQuaternion operator-(float lhs, const CQuaternion& rhs); CQuaternion operator*(float lhs, const CQuaternion& rhs); } #endif // CQUATERNION_HPP