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-/* Copyright (c) 2012 Patrick Ruoff
- *
- * Permission to use, copy, modify, and/or distribute this software for any
- * purpose with or without fee is hereby granted, provided that the above
- * copyright notice and this permission notice appear in all copies.
- */
-
-#pragma once
-#include <cmath>
-
-class Quat {
-private:
- static constexpr double pi = 3.141592653;
- static constexpr double r2d = 180./pi;
- double a,b,c,d; // quaternion coefficients
-public:
- Quat() : a(1.),b(0.),c(0.),d(0.) {}
- Quat(double yaw, double pitch, double roll) { from_euler_rads(yaw, pitch, roll); }
- Quat(double a, double b, double c, double d) : a(a),b(b),c(c),d(d) {}
-
- Quat inv(){
- return Quat(a,-b,-c, -d);
- }
-
- // conversions
- // see http://en.wikipedia.org/wiki/Conversion_between_quaternions_and_Euler_angles
- void from_euler_rads(double yaw, double pitch, double roll)
- {
-
- const double sin_phi = sin(roll/2.);
- const double cos_phi = cos(roll/2.);
- const double sin_the = sin(pitch/2.);
- const double cos_the = cos(pitch/2.);
- const double sin_psi = sin(yaw/2.);
- const double cos_psi = cos(yaw/2.);
-
- a = cos_phi*cos_the*cos_psi + sin_phi*sin_the*sin_psi;
- b = sin_phi*cos_the*cos_psi - cos_phi*sin_the*sin_psi;
- c = cos_phi*sin_the*cos_psi + sin_phi*cos_the*sin_psi;
- d = cos_phi*cos_the*sin_psi - sin_phi*sin_the*cos_psi;
- }
-
- void to_euler_rads(double& yaw, double& pitch, double& roll) const
- {
- roll = atan2(2.*(a*b + c*d), 1. - 2.*(b*b + c*c));
- pitch = asin(2.*(a*c - b*d));
- yaw = atan2(2.*(a*d + b*c), 1. - 2.*(c*c + d*d));
- }
-
- void to_euler_degrees(double& yaw, double& pitch, double& roll) const
- {
- to_euler_rads(yaw, pitch, roll);
- yaw *= r2d;
- pitch *= r2d;
- roll *= r2d;
- }
-
- const Quat operator*(const Quat& B) const
- {
- const Quat& A = *this;
- return Quat(A.a*B.a - A.b*B.b - A.c*B.c - A.d*B.d, // quaternion multiplication
- A.a*B.b + A.b*B.a + A.c*B.d - A.d*B.c,
- A.a*B.c - A.b*B.d + A.c*B.a + A.d*B.b,
- A.a*B.d + A.b*B.c - A.c*B.b + A.d*B.a);
- }
-};