#pragma once #include "Global.hpp" #include "CAxisAngle.hpp" #include "zeus/CVector3f.hpp" #include "zeus/CVector4f.hpp" #include "zeus/CMatrix3f.hpp" #include "zeus/Math.hpp" #include "zeus/CRelAngle.hpp" #include "zeus/CTransform.hpp" #if ZE_ATHENA_TYPES #include #endif namespace zeus { static float normalize_angle(float angle) { if (angle > M_PIF) angle -= 2.f * M_PIF; else if (angle < -M_PIF) angle += 2.f * M_PIF; return angle; } class CNUQuaternion; /** Unit quaternion, used for all quaternion arithmetic */ class CQuaternion { public: CQuaternion() : mSimd(1.f, 0.f, 0.f, 0.f) {} CQuaternion(float wi, float xi, float yi, float zi) : mSimd(wi, xi, yi, zi) {} CQuaternion(float xi, float yi, float zi) { fromVector3f(CVector3f(xi, yi, zi)); } CQuaternion(float wi, const CVector3f& vec) : mSimd(vec.mSimd.shuffle<0, 0, 1, 2>()) { mSimd[0] = wi; } template CQuaternion(const simd& s) : mSimd(s) {} #if ZE_ATHENA_TYPES void readBig(athena::io::IStreamReader& input) { simd_floats f; f[0] = input.readFloatBig(); f[1] = input.readFloatBig(); f[2] = input.readFloatBig(); f[3] = input.readFloatBig(); mSimd.copy_from(f); } CQuaternion(const atVec4f& vec) : mSimd(vec.simd) {} operator atVec4f&() { return *reinterpret_cast(this); } operator const atVec4f&() const { return *reinterpret_cast(this); } #endif CQuaternion(const CMatrix3f& mat); CQuaternion(const CVector3f& vec) { fromVector3f(vec); } CQuaternion(const CVector4f& vec) : mSimd(vec.mSimd) {} CQuaternion(const CVector3f& vecA, const CVector3f& vecB) { CVector3f vecAN = vecA.normalized(); CVector3f vecBN = vecB.normalized(); CVector3f w = vecAN.cross(vecBN); *this = CQuaternion(1.f + vecAN.dot(vecBN), w).normalized(); } 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 { return std::sqrt(magSquared()); } float magSquared() const { return mSimd.dot4(mSimd); } void normalize() { *this /= magnitude(); } CQuaternion normalized() const { return *this / magnitude(); } 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 CQuaternion fromAxisAngle(const CUnitVector3f& axis, const CRelAngle& angle) { return CQuaternion(std::cos(angle / 2.f), axis * std::sin(angle / 2.f)); } void rotateX(const CRelAngle& angle) { *this *= fromAxisAngle({1.0f, 0.0f, 0.0f}, angle); } void rotateY(const CRelAngle& angle) { *this *= fromAxisAngle({0.0f, 1.0f, 0.0f}, angle); } void rotateZ(const CRelAngle& angle) { *this *= fromAxisAngle({0.0f, 0.0f, 1.0f}, angle); } static CVector3f rotate(const CQuaternion& rotation, const CAxisAngle& v) { CQuaternion q = rotation * v; q *= rotation.inverse(); return {q.mSimd.shuffle<1, 2, 3, 3>()}; } static CQuaternion lookAt(const CUnitVector3f& source, const CUnitVector3f& dest, const CRelAngle& maxAng); CVector3f transform(const CVector3f& v) const { CQuaternion r(0.f, v); return (*this * r * inverse()).getImaginary(); } CQuaternion log() const; CQuaternion exp() const; CTransform toTransform() const { return CTransform(CMatrix3f(*this)); } CTransform toTransform(const zeus::CVector3f& origin) const { return CTransform(CMatrix3f(*this), origin); } float dot(const CQuaternion& rhs) const { return mSimd.dot4(rhs.mSimd); } static CQuaternion lerp(const CQuaternion& a, const CQuaternion& b, double t); static CQuaternion slerp(const CQuaternion& a, const CQuaternion& b, double t); static CQuaternion slerpShort(const CQuaternion& a, const CQuaternion& b, double t); static CQuaternion nlerp(const CQuaternion& a, const CQuaternion& b, double t); static CQuaternion shortestRotationArc(const zeus::CVector3f& v0, const zeus::CVector3f& v1); static CQuaternion clampedRotateTo(const zeus::CUnitVector3f& v0, const zeus::CUnitVector3f& v1, const zeus::CRelAngle& angle); float roll() const { simd_floats f(mSimd); return std::asin(-2.f * (f[1] * f[3] - f[0] * f[2])); } float pitch() const { simd_floats f(mSimd); return std::atan2(2.f * (f[2] * f[3] + f[0] * f[1]), f[0] * f[0] - f[1] * f[1] - f[2] * f[2] + f[3] * f[3]); } float yaw() const { simd_floats f(mSimd); return std::atan2(2.f * (f[1] * f[2] + f[0] * f[3]), f[0] * f[0] + f[1] * f[1] - f[2] * f[2] - f[3] * f[3]); } CQuaternion buildEquivalent() const; zeus::CVector3f getImaginary() const { return mSimd.shuffle<1, 2, 3, 3>(); } void setImaginary(const zeus::CVector3f& i) { x() = i.x(); y() = i.y(); z() = i.z(); } CRelAngle angleFrom(const zeus::CQuaternion& other); simd::reference operator[](size_t idx) { assert(idx < 4); return mSimd[idx]; } float operator[](size_t idx) const { assert(idx < 4); return mSimd[idx]; } float w() const { return mSimd[0]; } float x() const { return mSimd[1]; } float y() const { return mSimd[2]; } float z() const { return mSimd[3]; } simd::reference w() { return mSimd[0]; } simd::reference x() { return mSimd[1]; } simd::reference y() { return mSimd[2]; } simd::reference z() { return mSimd[3]; } simd mSimd; static const CQuaternion skNoRotation; static CQuaternion fromNUQuaternion(const CNUQuaternion& q); }; /** Non-unit quaternion, no guarantee that it's normalized. * Converting to CQuaternion will perform normalize operation. */ class CNUQuaternion { public: CNUQuaternion() : mSimd(1.f, 0.f, 0.f, 0.f) {} CNUQuaternion(float wi, float xi, float yi, float zi) : mSimd(wi, xi, yi, zi) {} CNUQuaternion(float win, const zeus::CVector3f& vec) : mSimd(vec.mSimd.shuffle<0, 0, 1, 2>()) { w() = win; } CNUQuaternion(const CQuaternion& other) : mSimd(other.mSimd) {} CNUQuaternion(const CMatrix3f& mtx) : CNUQuaternion(CQuaternion(mtx)) {} CNUQuaternion(const simd& s) : mSimd(s) {} static CNUQuaternion fromAxisAngle(const CUnitVector3f& axis, const CRelAngle& angle) { return CNUQuaternion(CQuaternion::fromAxisAngle(axis, angle)); } float magnitude() const { return std::sqrt(magSquared()); } float magSquared() const { return mSimd.dot4(mSimd); } void normalize() { float magDiv = 1.f / magnitude(); mSimd *= magDiv; } CNUQuaternion normalized() const { float magDiv = 1.f / magnitude(); return mSimd * simd(magDiv); } CNUQuaternion operator*(const CNUQuaternion& q) const; CNUQuaternion operator*(float f) const; const CNUQuaternion& operator+=(const CNUQuaternion& q); zeus::simd::reference operator[](size_t idx) { assert(idx < 4); return mSimd[idx]; } float operator[](size_t idx) const { assert(idx < 4); return mSimd[idx]; } float w() const { return mSimd[0]; } float x() const { return mSimd[1]; } float y() const { return mSimd[2]; } float z() const { return mSimd[3]; } simd::reference w() { return mSimd[0]; } simd::reference x() { return mSimd[1]; } simd::reference y() { return mSimd[2]; } simd::reference z() { return mSimd[3]; } simd mSimd; }; inline CQuaternion CQuaternion::fromNUQuaternion(const CNUQuaternion& q) { auto norm = q.normalized(); return norm.mSimd; } CQuaternion operator+(float lhs, const CQuaternion& rhs); CQuaternion operator-(float lhs, const CQuaternion& rhs); CQuaternion operator*(float lhs, const CQuaternion& rhs); CNUQuaternion operator*(float lhs, const CNUQuaternion& rhs); } // namespace zeus