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Diffstat (limited to 'opentrack/quat.hpp')
-rw-r--r-- | opentrack/quat.hpp | 66 |
1 files changed, 66 insertions, 0 deletions
diff --git a/opentrack/quat.hpp b/opentrack/quat.hpp new file mode 100644 index 00000000..6d777b28 --- /dev/null +++ b/opentrack/quat.hpp @@ -0,0 +1,66 @@ +/* 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); + } +}; |