From cfffa29e29db6b2234c7f534b1ebcd612b7f4914 Mon Sep 17 00:00:00 2001 From: Stanislaw Halik Date: Sun, 5 Oct 2014 01:22:11 +0200 Subject: flush --- facetracknoir/quat.hpp | 66 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 66 insertions(+) create mode 100644 facetracknoir/quat.hpp (limited to 'facetracknoir/quat.hpp') diff --git a/facetracknoir/quat.hpp b/facetracknoir/quat.hpp new file mode 100644 index 00000000..1e268963 --- /dev/null +++ b/facetracknoir/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 + +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(1.0),b(0.0),c(0.0),d(0.0) {} + 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) + { + + double sin_phi = sin(roll/2.0); + double cos_phi = cos(roll/2.0); + double sin_the = sin(pitch/2.0); + double cos_the = cos(pitch/2.0); + double sin_psi = sin(yaw/2.0); + double cos_psi = cos(yaw/2.0); + + 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(2.0*(a*b + c*d), 1.0 - 2.0*(b*b + c*c)); + pitch = asin(2.0*(a*c - b*d)); + yaw = atan2(2.0*(a*d + b*c), 1.0 - 2.0*(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); + } +}; -- cgit v1.2.3