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/* ----------------------------------------------------------------------- *
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* This file is part of GEL, http://www.imm.dtu.dk/GEL
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* Copyright (C) the authors and DTU Informatics
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* For license and list of authors, see ../../doc/intro.pdf
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* ----------------------------------------------------------------------- */
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#include <algorithm>
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#include "ArithVec3Float.h"
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#include "Vec3f.h"
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#include "Vec3d.h"
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using namespace std;
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namespace CGLA {
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template<class T, class V>
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void ArithVec3Float<T,V>::get_spherical(T &theta, T &phi, T &rlen ) const
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{
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rlen = this->length();
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theta = acos((*this)[2]/rlen);
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if ((*this)[0]>0)
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phi = atan((*this)[1]/(*this)[0]);
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else
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if ((*this)[0]<0)
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phi = atan((*this)[1]/(*this)[0]) + M_PI;
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else
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phi = ((*this)[1]>0) ? M_PI_2 : -1 * M_PI_2;
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}
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template<class T, class V>
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void ArithVec3Float<T,V>::set_spherical(T theta, T phi, T rlen )
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{
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(*this)[0] = rlen * sin(theta) * cos(phi);
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(*this)[1] = rlen * sin(theta) * sin(phi);
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(*this)[2] = rlen * cos(theta);
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}
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template<class T, class V>
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void orthogonal(const ArithVec3Float<T,V>& n,
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ArithVec3Float<T,V>& b1,
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ArithVec3Float<T,V>& b2)
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{
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onb(normalize(n), b1, b2);
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}
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template<class T, class V>
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void onb(const ArithVec3Float<T,V>& n,
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ArithVec3Float<T,V>& b1,
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ArithVec3Float<T,V>& b2)
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{
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if(n[2] < -0.9999999f) // Handle the singularity
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{
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b1 = V(1.0f, 0.0f, 0.0f);
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b2 = V(0.0f, -1.0f, 0.0f);
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return;
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}
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const T a = 1.0f/(1.0f + n[2]);
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const T b = n[0]*n[1]*a;
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b1 = V(b, n[1]*n[1]*a - 1.0f, n[1]);
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b2 = V(1.0f - n[0]*n[0]*a, -b, -n[0]);
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}
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template class ArithVec3Float<float, Vec3f>;
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template void orthogonal<float,Vec3f>(const ArithVec3Float<float,Vec3f>& n,
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ArithVec3Float<float,Vec3f>& b1,
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ArithVec3Float<float,Vec3f>& b2);
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template void onb<float,Vec3f>(const ArithVec3Float<float,Vec3f>& n,
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ArithVec3Float<float,Vec3f>& b1,
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ArithVec3Float<float,Vec3f>& b2);
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template class ArithVec3Float<double, Vec3d>;
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template void orthogonal<double,Vec3d>(const ArithVec3Float<double,Vec3d>& n,
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ArithVec3Float<double,Vec3d>& b1,
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ArithVec3Float<double,Vec3d>& b2);
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template void onb<double,Vec3d>(const ArithVec3Float<double,Vec3d>& n,
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ArithVec3Float<double,Vec3d>& b1,
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ArithVec3Float<double,Vec3d>& b2);
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}
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