/*************************************************************************/ /* quat.h */ /*************************************************************************/ /* This file is part of: */ /* GODOT ENGINE */ /* https://godotengine.org */ /*************************************************************************/ /* Copyright (c) 2007-2017 Juan Linietsky, Ariel Manzur. */ /* Copyright (c) 2014-2017 Godot Engine contributors (cf. AUTHORS.md) */ /* */ /* Permission is hereby granted, free of charge, to any person obtaining */ /* a copy of this software and associated documentation files (the */ /* "Software"), to deal in the Software without restriction, including */ /* without limitation the rights to use, copy, modify, merge, publish, */ /* distribute, sublicense, and/or sell copies of the Software, and to */ /* permit persons to whom the Software is furnished to do so, subject to */ /* the following conditions: */ /* */ /* The above copyright notice and this permission notice shall be */ /* included in all copies or substantial portions of the Software. */ /* */ /* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */ /* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */ /* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/ /* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */ /* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */ /* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */ /* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ /*************************************************************************/ #include "vector3.h" #ifndef QUAT_H #define QUAT_H #include "math_defs.h" #include "math_funcs.h" #include "ustring.h" /** @author Juan Linietsky <reduzio@gmail.com> */ class Quat { public: real_t x, y, z, w; _FORCE_INLINE_ real_t length_squared() const; real_t length() const; void normalize(); Quat normalized() const; bool is_normalized() const; Quat inverse() const; _FORCE_INLINE_ real_t dot(const Quat &q) const; void set_euler_xyz(const Vector3 &p_euler); Vector3 get_euler_xyz() const; void set_euler_yxz(const Vector3 &p_euler); Vector3 get_euler_yxz() const; void set_euler(const Vector3 &p_euler) { set_euler_yxz(p_euler); }; Vector3 get_euler() const { return get_euler_yxz(); }; Quat slerp(const Quat &q, const real_t &t) const; Quat slerpni(const Quat &q, const real_t &t) const; Quat cubic_slerp(const Quat &q, const Quat &prep, const Quat &postq, const real_t &t) const; _FORCE_INLINE_ void get_axis_angle(Vector3 &r_axis, real_t &r_angle) const { r_angle = 2 * Math::acos(w); r_axis.x = x / Math::sqrt(1 - w * w); r_axis.y = y / Math::sqrt(1 - w * w); r_axis.z = z / Math::sqrt(1 - w * w); } void operator*=(const Quat &q); Quat operator*(const Quat &q) const; Quat operator*(const Vector3 &v) const { return Quat(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); } _FORCE_INLINE_ Vector3 xform(const Vector3 &v) const { Quat q = *this * v; q *= this->inverse(); return Vector3(q.x, q.y, q.z); } _FORCE_INLINE_ void operator+=(const Quat &q); _FORCE_INLINE_ void operator-=(const Quat &q); _FORCE_INLINE_ void operator*=(const real_t &s); _FORCE_INLINE_ void operator/=(const real_t &s); _FORCE_INLINE_ Quat operator+(const Quat &q2) const; _FORCE_INLINE_ Quat operator-(const Quat &q2) const; _FORCE_INLINE_ Quat operator-() const; _FORCE_INLINE_ Quat operator*(const real_t &s) const; _FORCE_INLINE_ Quat operator/(const real_t &s) const; _FORCE_INLINE_ bool operator==(const Quat &p_quat) const; _FORCE_INLINE_ bool operator!=(const Quat &p_quat) const; operator String() const; inline void set(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; } inline Quat(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; } Quat(const Vector3 &axis, const real_t &angle); Quat(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; } } inline Quat() { x = y = z = 0; w = 1; } }; real_t Quat::dot(const Quat &q) const { return x * q.x + y * q.y + z * q.z + w * q.w; } real_t Quat::length_squared() const { return dot(*this); } void Quat::operator+=(const Quat &q) { x += q.x; y += q.y; z += q.z; w += q.w; } void Quat::operator-=(const Quat &q) { x -= q.x; y -= q.y; z -= q.z; w -= q.w; } void Quat::operator*=(const real_t &s) { x *= s; y *= s; z *= s; w *= s; } void Quat::operator/=(const real_t &s) { *this *= 1.0 / s; } Quat Quat::operator+(const Quat &q2) const { const Quat &q1 = *this; return Quat(q1.x + q2.x, q1.y + q2.y, q1.z + q2.z, q1.w + q2.w); } Quat Quat::operator-(const Quat &q2) const { const Quat &q1 = *this; return Quat(q1.x - q2.x, q1.y - q2.y, q1.z - q2.z, q1.w - q2.w); } Quat Quat::operator-() const { const Quat &q2 = *this; return Quat(-q2.x, -q2.y, -q2.z, -q2.w); } Quat Quat::operator*(const real_t &s) const { return Quat(x * s, y * s, z * s, w * s); } Quat Quat::operator/(const real_t &s) const { return *this * (1.0 / s); } bool Quat::operator==(const Quat &p_quat) const { return x == p_quat.x && y == p_quat.y && z == p_quat.z && w == p_quat.w; } bool Quat::operator!=(const Quat &p_quat) const { return x != p_quat.x || y != p_quat.y || z != p_quat.z || w != p_quat.w; } #endif