#ifndef GODOT_QUAT_HPP #define GODOT_QUAT_HPP #include #include namespace godot { class Quaternion { public: _FORCE_INLINE_ GDNativeTypePtr ptr() const { return (void *)this; } union { struct { real_t x; real_t y; real_t z; real_t w; }; real_t components[4] = { 0, 0, 0, 1.0 }; }; inline real_t &operator[](int idx) { return components[idx]; } inline const real_t &operator[](int idx) const { return components[idx]; } inline real_t length_squared() const; bool is_equal_approx(const Quaternion &p_quat) const; real_t length() const; void normalize(); Quaternion normalized() const; bool is_normalized() const; Quaternion inverse() const; inline real_t dot(const Quaternion &p_q) const; Vector3 get_euler_xyz() const; Vector3 get_euler_yxz() const; Vector3 get_euler() const { return get_euler_yxz(); }; Quaternion slerp(const Quaternion &p_to, const real_t &p_weight) const; Quaternion slerpni(const Quaternion &p_to, const real_t &p_weight) const; Quaternion cubic_slerp(const Quaternion &p_b, const Quaternion &p_pre_a, const Quaternion &p_post_b, const real_t &p_weight) const; inline void get_axis_angle(Vector3 &r_axis, real_t &r_angle) const { r_angle = 2 * Math::acos(w); real_t r = ((real_t)1) / Math::sqrt(1 - w * w); r_axis.x = x * r; r_axis.y = y * r; r_axis.z = z * r; } void operator*=(const Quaternion &p_q); Quaternion operator*(const Quaternion &p_q) const; Quaternion operator*(const Vector3 &v) const { return Quaternion(w * v.x + y * v.z - z * v.y, w * v.y + z * v.x - x * v.z, w * v.z + x * v.y - y * v.x, -x * v.x - y * v.y - z * v.z); } inline Vector3 xform(const Vector3 &v) const { #ifdef MATH_CHECKS ERR_FAIL_COND_V(!is_normalized(), v); #endif Vector3 u(x, y, z); Vector3 uv = u.cross(v); return v + ((uv * w) + u.cross(uv)) * ((real_t)2); } inline Vector3 xform_inv(const Vector3 &v) const { return inverse().xform(v); } inline void operator+=(const Quaternion &p_q); inline void operator-=(const Quaternion &p_q); inline void operator*=(const real_t &s); inline void operator/=(const real_t &s); inline Quaternion operator+(const Quaternion &q2) const; inline Quaternion operator-(const Quaternion &q2) const; inline Quaternion operator-() const; inline Quaternion operator*(const real_t &s) const; inline Quaternion operator/(const real_t &s) const; inline bool operator==(const Quaternion &p_quat) const; inline bool operator!=(const Quaternion &p_quat) const; operator String() const; inline Quaternion() {} inline Quaternion(real_t p_x, real_t p_y, real_t p_z, real_t p_w) : x(p_x), y(p_y), z(p_z), w(p_w) { } Quaternion(const Vector3 &p_axis, real_t p_angle); Quaternion(const Vector3 &p_euler); Quaternion(const Quaternion &p_q) : x(p_q.x), y(p_q.y), z(p_q.z), w(p_q.w) { } Quaternion &operator=(const Quaternion &p_q) { x = p_q.x; y = p_q.y; z = p_q.z; w = p_q.w; return *this; } Quaternion(const Vector3 &v0, const Vector3 &v1) // shortest arc { Vector3 c = v0.cross(v1); real_t d = v0.dot(v1); if (d < -1.0 + CMP_EPSILON) { x = 0; y = 1; z = 0; w = 0; } else { real_t s = Math::sqrt((1.0 + d) * 2.0); real_t rs = 1.0 / s; x = c.x * rs; y = c.y * rs; z = c.z * rs; w = s * 0.5; } } }; real_t Quaternion::dot(const Quaternion &p_q) const { return x * p_q.x + y * p_q.y + z * p_q.z + w * p_q.w; } real_t Quaternion::length_squared() const { return dot(*this); } void Quaternion::operator+=(const Quaternion &p_q) { x += p_q.x; y += p_q.y; z += p_q.z; w += p_q.w; } void Quaternion::operator-=(const Quaternion &p_q) { x -= p_q.x; y -= p_q.y; z -= p_q.z; w -= p_q.w; } void Quaternion::operator*=(const real_t &s) { x *= s; y *= s; z *= s; w *= s; } void Quaternion::operator/=(const real_t &s) { *this *= 1.0 / s; } Quaternion Quaternion::operator+(const Quaternion &q2) const { const Quaternion &q1 = *this; return Quaternion(q1.x + q2.x, q1.y + q2.y, q1.z + q2.z, q1.w + q2.w); } Quaternion Quaternion::operator-(const Quaternion &q2) const { const Quaternion &q1 = *this; return Quaternion(q1.x - q2.x, q1.y - q2.y, q1.z - q2.z, q1.w - q2.w); } Quaternion Quaternion::operator-() const { const Quaternion &q2 = *this; return Quaternion(-q2.x, -q2.y, -q2.z, -q2.w); } Quaternion Quaternion::operator*(const real_t &s) const { return Quaternion(x * s, y * s, z * s, w * s); } Quaternion Quaternion::operator/(const real_t &s) const { return *this * (1.0 / s); } bool Quaternion::operator==(const Quaternion &p_quat) const { return x == p_quat.x && y == p_quat.y && z == p_quat.z && w == p_quat.w; } bool Quaternion::operator!=(const Quaternion &p_quat) const { return x != p_quat.x || y != p_quat.y || z != p_quat.z || w != p_quat.w; } inline Quaternion operator*(const real_t &p_real, const Quaternion &p_quat) { return p_quat * p_real; } } // namespace godot #endif // GODOT_QUAT_HPP