source: flair-src/trunk/lib/FlairCore/src/Quaternion.cpp@ 4

// %flair:license{
// This file is part of the Flair framework distributed under the
// CECILL-C License, Version 1.0.
// %flair:license}
//  created:    2016/02/03
//  filename:   Quaternion.cpp
//
//  author:     Guillaume Sanahuja
//              Copyright Heudiasyc UMR UTC/CNRS 7253
//
//  version:    $Id: $
//
//  purpose:    Class defining a quaternion
//
//
/*********************************************************************/

#include "Quaternion.h"
#include "Vector3D.h"
#include "Euler.h"
#include "RotationMatrix.h"
#include <math.h>
#include <stdio.h>

namespace flair {
namespace core {

Quaternion::Quaternion(float inQ0,float inQ1,float inQ2,float inQ3):q0(inQ0),q1(inQ1),q2(inQ2),q3(inQ3) {
}

Quaternion::~Quaternion() {
}

Quaternion& Quaternion::operator=(const Quaternion &quaternion) {
    q0=quaternion.q0;
    q1=quaternion.q1;
    q2=quaternion.q2;
    q3=quaternion.q3;
    return (*this);
}

float Quaternion::GetNorm(void) const {
    return sqrt(q0*q0+q1*q1+q2*q2+q3*q3);
}

void Quaternion::Normalize(void) {
    float n=GetNorm();
    if(n!=0) {
        q0=q0/n;
        q1=q1/n;
        q2=q2/n;
        q3=q3/n;
    }
}

void Quaternion::Conjugate(void) {
    q1=-q1;
    q2=-q2;
    q3=-q3;
}

Quaternion Quaternion::GetConjugate(void) {
    return Quaternion(q0,-q1,-q2,-q3);
}

void Quaternion::GetLogarithm(Vector3D &logarithm) {
    Normalize();
    float v_norm=sqrtf(q1*q1+q2*q2+q3*q3);

    if(v_norm!=0) {
        float v_arccos = acosf(q0);
        logarithm.x=(q1*v_arccos)/v_norm;
        logarithm.y=(q2*v_arccos)/v_norm;
        logarithm.z=(q3*v_arccos)/v_norm;
    } else {
        logarithm.x=0;
        logarithm.y=0;
        logarithm.z=0;
    }
}

Vector3D Quaternion::GetLogarithm(void) {
    Vector3D vector;
    GetLogarithm(vector);
    return vector;
}

Quaternion Quaternion::GetDerivative(const Vector3D &angularSpeed) const {
    const Quaternion Qw(0,angularSpeed.x,angularSpeed.y,angularSpeed.z);
    return 0.5*(*this)*Qw;
}

void Quaternion::Derivate(const Vector3D &angularSpeed) {
    Quaternion Q=GetDerivative(angularSpeed);
    (*this)=Q;
}

void Quaternion::ToEuler(Euler &euler) const {
    euler.roll=atan2(2*(q0*q1+q2*q3), 1-2*(q1*q1+q2*q2));
    euler.pitch=asin(2*(q0*q2-q1*q3));
    euler.yaw = atan2(2*(q0*q3+q1*q2), 1-2*(q2*q2+q3*q3));
}

Euler Quaternion::ToEuler(void) const {
    Euler euler;
    ToEuler(euler);
    return euler;
}

void Quaternion::ToRotationMatrix(RotationMatrix &matrix) const {
    float aSq = q0 * q0;
    float bSq = q1 * q1;
    float cSq = q2 * q2;
    float dSq = q3 * q3;
    matrix.m[0][0] = aSq + bSq - cSq - dSq;
    matrix.m[0][1] = 2.0f * (q1 * q2 - q0 * q3);
    matrix.m[0][2] = 2.0f * (q0 * q2 + q1 * q3);
    matrix.m[1][0] = 2.0f * (q1 * q2 + q0 * q3);
    matrix.m[1][1] = aSq - bSq + cSq - dSq;
    matrix.m[1][2] = 2.0f * (q2 * q3 - q0 * q1);
    matrix.m[2][0] = 2.0f * (q1 * q3 - q0 * q2);
    matrix.m[2][1] = 2.0f * (q0 * q1 + q2 * q3);
    matrix.m[2][2] = aSq - bSq - cSq + dSq;
}

Quaternion &Quaternion::operator+=(const Quaternion &quaternion) {
    q0+=quaternion.q0;
    q1+=quaternion.q1;
    q2+=quaternion.q2;
    q3+=quaternion.q3;
    return (*this);
}

Quaternion &Quaternion::operator-=(const Quaternion &quaternion) {
    q0-=quaternion.q0;
    q1-=quaternion.q1;
    q2-=quaternion.q2;
    q3-=quaternion.q3;
    return (*this);
}

Quaternion operator + (const Quaternion &quaternionA,const Quaternion &quaterniontB) {
    return Quaternion(
               quaternionA.q0 + quaterniontB.q0,
               quaternionA.q1 + quaterniontB.q1,
               quaternionA.q2 + quaterniontB.q2,
               quaternionA.q3 + quaterniontB.q3);
}

Quaternion operator- (const Quaternion &quaterniontA,const Quaternion &quaterniontB) {
   return Quaternion(
               quaterniontA.q0 - quaterniontB.q0,
               quaterniontA.q1 - quaterniontB.q1,
               quaterniontA.q2 - quaterniontB.q2,
               quaterniontA.q3 - quaterniontB.q3);
}

Quaternion operator-(const Quaternion &quaternion) {
    return Quaternion(-quaternion.q0,-quaternion.q1,-quaternion.q2,-quaternion.q3);
}

Quaternion operator * (const Quaternion &quaterniontA,const Quaternion &quaterniontB) {
    return Quaternion(
               quaterniontA.q0 * quaterniontB.q0 - quaterniontA.q1 * quaterniontB.q1 - quaterniontA.q2 * quaterniontB.q2 - quaterniontA.q3 * quaterniontB.q3,
               quaterniontA.q0 * quaterniontB.q1 + quaterniontA.q1 * quaterniontB.q0 + quaterniontA.q2 * quaterniontB.q3 - quaterniontA.q3 * quaterniontB.q2,
               quaterniontA.q0 * quaterniontB.q2 - quaterniontA.q1 * quaterniontB.q3 + quaterniontA.q2 * quaterniontB.q0 + quaterniontA.q3 * quaterniontB.q1,
               quaterniontA.q0 * quaterniontB.q3 + quaterniontA.q1 * quaterniontB.q2 - quaterniontA.q2 * quaterniontB.q1 + quaterniontA.q3 * quaterniontB.q0);
}

Quaternion operator * (float coeff,const Quaternion &quaternion) {
    return Quaternion(
               coeff*quaternion.q0,
               coeff*quaternion.q1,
               coeff*quaternion.q2,
               coeff*quaternion.q3);
}


Quaternion operator * (const Quaternion &quaternion,float coeff) {
    return Quaternion(
               coeff*quaternion.q0,
               coeff*quaternion.q1,
               coeff*quaternion.q2,
               coeff*quaternion.q3);
}

} // end namespace core
} // end namespace flair