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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 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(){
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
};
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