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@ -24,17 +24,43 @@
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template<typename T>
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template<typename T>
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const Quaternion<T> Quaternion<T>::operator*(const Quaternion<T> &rhs) const
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Quaternion<T> Quaternion<T>::operator*(const Quaternion<T> &rhs) const
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{
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{
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return Quaternion<T>
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return Quaternion<T>
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(
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(
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this->q[0]*rhs.q[0]-this->q[1]*rhs.q[1]-this->q[2]*rhs.q[2]-this->q[3]*rhs.q[3],
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q[0]*rhs.q[0]-q[1]*rhs.q[1]-q[2]*rhs.q[2]-q[3]*rhs.q[3],
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this->q[0]*rhs.q[1]+this->q[1]*rhs.q[0]+this->q[2]*rhs.q[3]-this->q[3]*rhs.q[2],
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q[0]*rhs.q[1]+q[1]*rhs.q[0]+q[2]*rhs.q[3]-q[3]*rhs.q[2],
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this->q[0]*rhs.q[2]+this->q[2]*rhs.q[0]+this->q[3]*rhs.q[1]-this->q[1]*rhs.q[3],
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q[0]*rhs.q[2]+q[2]*rhs.q[0]+q[3]*rhs.q[1]-q[1]*rhs.q[3],
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this->q[0]*rhs.q[3]+this->q[3]*rhs.q[0]+this->q[1]*rhs.q[2]-this->q[2]*rhs.q[1]
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q[0]*rhs.q[3]+q[3]*rhs.q[0]+q[1]*rhs.q[2]-q[2]*rhs.q[1]
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);
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);
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};
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};
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template<typename T>
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Quaternion<T> Quaternion<T>::times_vec3(const T *rhs) const
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{
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return Quaternion<T>
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(
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-q[1]*rhs[0]-q[2]*rhs[1]-q[3]*rhs[2],
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q[0]*rhs[0]+q[2]*rhs[2]-q[3]*rhs[1],
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q[0]*rhs[1]+q[3]*rhs[0]-q[1]*rhs[2],
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q[0]*rhs[2]+q[1]*rhs[1]-q[2]*rhs[0]
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);
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};
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template<typename T>
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Quaternion<T> Quaternion<T>::vec3_times(const T *lhs) const
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{
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return Quaternion<T>
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(
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-lhs[0]*q[1]-lhs[1]*q[2]-lhs[2]*q[3],
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lhs[0]*q[0]+lhs[1]*q[3]-lhs[2]*q[2],
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lhs[1]*q[0]+lhs[2]*q[1]-lhs[0]*q[3],
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lhs[2]*q[0]+lhs[0]*q[2]-lhs[1]*q[1]
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);
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};
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//basically the same code as in normquat2rotmat, but avoiding extra storage
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//basically the same code as in normquat2rotmat, but avoiding extra storage
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template<typename T>
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template<typename T>
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16
quaternion.h
16
quaternion.h
@ -21,10 +21,11 @@
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#ifndef _QUATERNION_H_
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#ifndef _QUATERNION_H_
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#define _QUATERNION_H_
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#define _QUATERNION_H_
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#include <stdlib.h>
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#ifndef AVOID_STDSTREAM
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#include <iostream>
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#include <iostream>
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#endif
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#include <string.h>
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#include <complex>
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#include <complex>
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#include <cstring>
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#include <math.h>
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#include <math.h>
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@ -61,9 +62,12 @@ public:
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const Quaternion operator-() const {Quaternion r(*this); r.q[0]= -r.q[0]; r.q[1]= -r.q[1]; r.q[2]= -r.q[2]; r.q[3]= -r.q[3]; return r;}; //unary minus
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const Quaternion operator-() const {Quaternion r(*this); r.q[0]= -r.q[0]; r.q[1]= -r.q[1]; r.q[2]= -r.q[2]; r.q[3]= -r.q[3]; return r;}; //unary minus
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Quaternion& operator+=(const Quaternion &rhs) {q[0]+=rhs.q[0];q[1]+=rhs.q[1];q[2]+=rhs.q[2];q[3]+=rhs.q[3]; return *this;};
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Quaternion& operator+=(const Quaternion &rhs) {q[0]+=rhs.q[0];q[1]+=rhs.q[1];q[2]+=rhs.q[2];q[3]+=rhs.q[3]; return *this;};
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Quaternion& operator-=(const Quaternion &rhs) {q[0]-=rhs.q[0];q[1]-=rhs.q[1];q[2]-=rhs.q[2];q[3]-=rhs.q[3]; return *this;};
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Quaternion& operator-=(const Quaternion &rhs) {q[0]-=rhs.q[0];q[1]-=rhs.q[1];q[2]-=rhs.q[2];q[3]-=rhs.q[3]; return *this;};
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const Quaternion operator+(const Quaternion &rhs) const {return Quaternion(*this) += rhs;};
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Quaternion operator+(const Quaternion &rhs) const {return Quaternion(*this) += rhs;};
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const Quaternion operator-(const Quaternion &rhs) const {return Quaternion(*this) -= rhs;};
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Quaternion operator-(const Quaternion &rhs) const {return Quaternion(*this) -= rhs;};
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const Quaternion operator*(const Quaternion &rhs) const;
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Quaternion operator*(const Quaternion &rhs) const; //regular product
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Quaternion times_vec3(const T *rhs) const; //save flops for quaternions representing vectors
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Quaternion vec3_times(const T *rhs) const; //save flops for quaternions representing vectors
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Quaternion& conjugateme(void) {q[1] = -q[1]; q[2] = -q[2]; q[3] = -q[3]; return *this;}
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Quaternion& conjugateme(void) {q[1] = -q[1]; q[2] = -q[2]; q[3] = -q[3]; return *this;}
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Quaternion conjugate(void) const {return Quaternion(*this).conjugateme();}
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Quaternion conjugate(void) const {return Quaternion(*this).conjugateme();}
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T dot(const Quaternion &rhs) const {return q[0]*rhs.q[0] + q[1]*rhs.q[1] + q[2]*rhs.q[2] + q[3]*rhs.q[3];};
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T dot(const Quaternion &rhs) const {return q[0]*rhs.q[0] + q[1]*rhs.q[1] + q[2]*rhs.q[2] + q[3]*rhs.q[3];};
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@ -84,6 +88,7 @@ public:
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//stream I/O
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//stream I/O
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#ifndef AVOID_STDSTREAM
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template <typename T>
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template <typename T>
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std::istream& operator>>(std::istream &s, Quaternion<T> &x)
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std::istream& operator>>(std::istream &s, Quaternion<T> &x)
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{
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{
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@ -102,6 +107,7 @@ s << x.q[2]<<" ";
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s << x.q[3];
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s << x.q[3];
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return s;
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return s;
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}
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}
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#endif
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@ -24,8 +24,10 @@
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#define _VECMAT3_H_
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#define _VECMAT3_H_
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#include <stdlib.h>
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#include <stdlib.h>
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#ifndef AVOID_STDSTREAM
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#include <iostream>
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#include <iostream>
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#include <cstring>
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#endif
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#include <string.h>
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#include <math.h>
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#include <math.h>
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//forward declaration
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//forward declaration
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@ -169,6 +171,7 @@ public:
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//stream I/O
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//stream I/O
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#ifndef AVOID_STDSTREAM
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template <typename T>
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template <typename T>
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std::istream& operator>>(std::istream &s, Vec3<T> &x)
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std::istream& operator>>(std::istream &s, Vec3<T> &x)
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{
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{
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@ -208,8 +211,7 @@ s << x.q[1][0]<<" "<< x.q[1][1]<<" " << x.q[1][2]<<std::endl;
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s << x.q[2][0]<<" "<< x.q[2][1]<<" " << x.q[2][2]<<std::endl;
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s << x.q[2][0]<<" "<< x.q[2][1]<<" " << x.q[2][2]<<std::endl;
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return s;
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return s;
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}
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}
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#endif
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#endif /* _VECMAT3_H_ */
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#endif /* _VECMAT3_H_ */
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