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Diffstat (limited to 'facetracknoir/rotation.h')
-rw-r--r-- | facetracknoir/rotation.h | 64 |
1 files changed, 64 insertions, 0 deletions
diff --git a/facetracknoir/rotation.h b/facetracknoir/rotation.h new file mode 100644 index 00000000..22f35abb --- /dev/null +++ b/facetracknoir/rotation.h @@ -0,0 +1,64 @@ +/* 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. + */ + +#ifndef ROTATION_H +#define ROTATION_H +#include <cmath> +// ---------------------------------------------------------------------------- +class RotationType { + +public: + RotationType() : a(1.0),b(0.0),c(0.0),d(0.0) {} + RotationType(double yaw, double pitch, double roll) { fromEuler(yaw, pitch, roll); } + RotationType(double a, double b, double c, double d) : a(a),b(b),c(c),d(d) {} + + RotationType inv(){ // inverse + return RotationType(a,-b,-c, -d); + } + + + // conversions + // see http://en.wikipedia.org/wiki/Conversion_between_quaternions_and_Euler_angles + void fromEuler(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 toEuler(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)); + } + + const RotationType operator*(const RotationType& B) const + { + const RotationType& A = *this; + return RotationType(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); + } + +protected: + double a,b,c,d; // quaternion coefficients +}; + + + +#endif //ROTATION_H |