1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221
|
/// \file Rectangles.h
/// \author Johannes de Fine Licht (johannes.definelicht@cern.ch)
#ifndef VECGEOM_VOLUMES_RECTANGLES_H_
#define VECGEOM_VOLUMES_RECTANGLES_H_
#include "VecGeom/base/Global.h"
#include "VecGeom/base/AlignedBase.h"
#include "VecGeom/base/SOA3D.h"
#include "VecGeom/base/Vector3D.h"
#include "VecGeom/volumes/Planes.h"
namespace vecgeom {
VECGEOM_DEVICE_FORWARD_DECLARE(class Rectangles;);
VECGEOM_DEVICE_DECLARE_CONV(class, Rectangles);
inline namespace VECGEOM_IMPL_NAMESPACE {
/// \class Rectangles
///
/// \brief Stores a number of rectangles in SOA form to allow vectorized
/// operations.
///
/// To allow efficient computation, two corners, one normalized side and
/// the plane equation in which the rectangle lies is stored.
/// If the set of rectangles are assumed to be convex, the convex methods
/// can be called for faster computation, falling back on the implementations
/// for planes.
class Rectangles : public AlignedBase {
// fCorners[0]
// p0----------
// | | |
// (Normalized) | |
// fSides | -o- |
// | | |
// v | |
// p1---------p2
// fCorners[1]
private:
Planes fPlanes;
SOA3D<Precision> fSides;
SOA3D<Precision> fCorners[2];
public:
typedef SOA3D<Precision> Corners_t[2];
VECCORE_ATT_HOST_DEVICE
Rectangles(int size);
VECCORE_ATT_HOST_DEVICE
~Rectangles();
VECCORE_ATT_HOST_DEVICE
VECGEOM_FORCE_INLINE
int size() const;
VECCORE_ATT_HOST_DEVICE
VECGEOM_FORCE_INLINE
Vector3D<Precision> GetNormal(int i) const;
VECCORE_ATT_HOST_DEVICE
VECGEOM_FORCE_INLINE
SOA3D<Precision> const &GetNormals() const;
VECCORE_ATT_HOST_DEVICE
VECGEOM_FORCE_INLINE
Precision GetDistance(int i) const;
VECCORE_ATT_HOST_DEVICE
VECGEOM_FORCE_INLINE
Array<Precision> const &GetDistances() const;
VECCORE_ATT_HOST_DEVICE
inline Vector3D<Precision> GetCenter(int i) const;
VECCORE_ATT_HOST_DEVICE
inline Vector3D<Precision> GetCorner(int i, int j) const;
VECCORE_ATT_HOST_DEVICE
VECGEOM_FORCE_INLINE
Corners_t const &GetCorners() const;
VECCORE_ATT_HOST_DEVICE
inline Vector3D<Precision> GetSide(int i) const;
VECCORE_ATT_HOST_DEVICE
VECGEOM_FORCE_INLINE
SOA3D<Precision> const &GetSides() const;
VECCORE_ATT_HOST_DEVICE
void Set(int index, Vector3D<Precision> const &p0, Vector3D<Precision> const &p1, Vector3D<Precision> const &p2);
VECCORE_ATT_HOST_DEVICE
inline Precision Distance(Vector3D<Precision> const &point, Vector3D<Precision> const &direction) const;
};
VECCORE_ATT_HOST_DEVICE
int Rectangles::size() const
{
return fPlanes.size();
}
VECCORE_ATT_HOST_DEVICE
Vector3D<Precision> Rectangles::GetNormal(int i) const
{
return fPlanes.GetNormal(i);
}
VECCORE_ATT_HOST_DEVICE
SOA3D<Precision> const &Rectangles::GetNormals() const
{
return fPlanes.GetNormals();
}
VECCORE_ATT_HOST_DEVICE
Precision Rectangles::GetDistance(int i) const
{
return fPlanes.GetDistance(i);
}
VECCORE_ATT_HOST_DEVICE
Array<Precision> const &Rectangles::GetDistances() const
{
return fPlanes.GetDistances();
}
VECCORE_ATT_HOST_DEVICE
Vector3D<Precision> Rectangles::GetCenter(int i) const
{
return -GetDistance(i) * GetNormal(i);
}
VECCORE_ATT_HOST_DEVICE
Vector3D<Precision> Rectangles::GetCorner(int i, int j) const
{
return Vector3D<Precision>(fCorners[i][0][j], fCorners[i][1][j], fCorners[i][2][j]);
}
VECCORE_ATT_HOST_DEVICE
Rectangles::Corners_t const &Rectangles::GetCorners() const
{
return fCorners;
}
VECCORE_ATT_HOST_DEVICE
Vector3D<Precision> Rectangles::GetSide(int i) const
{
return Vector3D<Precision>(fSides[0][i], fSides[1][i], fSides[2][i]);
}
VECCORE_ATT_HOST_DEVICE
SOA3D<Precision> const &Rectangles::GetSides() const
{
return fSides;
}
VECCORE_ATT_HOST_DEVICE
void Rectangles::Set(int index, Vector3D<Precision> const &p0, Vector3D<Precision> const &p1,
Vector3D<Precision> const &p2)
{
// Store corners and sides
fCorners[0].set(index, p0);
fCorners[1].set(index, p2);
Vector3D<Precision> side = p1 - p0;
side.Normalize();
fSides.set(index, side);
// Compute plane equation to retrieve normal and distance to origin
// ax + by + cz + d = 0
Precision a, b, c, d;
a = p0[1] * (p1[2] - p2[2]) + p1[1] * (p2[2] - p0[2]) + p2[1] * (p0[2] - p1[2]);
b = p0[2] * (p1[0] - p2[0]) + p1[2] * (p2[0] - p0[0]) + p2[2] * (p0[0] - p1[0]);
c = p0[0] * (p1[1] - p2[1]) + p1[0] * (p2[1] - p0[1]) + p2[0] * (p0[1] - p1[1]);
d = -p0[0] * (p1[1] * p2[2] - p2[1] * p1[2]) - p1[0] * (p2[1] * p0[2] - p0[1] * p2[2]) -
p2[0] * (p0[1] * p1[2] - p1[1] * p0[2]);
Vector3D<Precision> normal(a, b, c);
// Normalize the plane equation
// (ax + by + cz + d) / sqrt(a^2 + b^2 + c^2) = 0 =>
// n0*x + n1*x + n2*x + p = 0
Precision inverseLength = 1. / normal.Length();
normal *= inverseLength;
d *= inverseLength;
if (d >= 0) {
// Ensure normal is pointing away from origin
normal = -normal;
d = -d;
}
fPlanes.Set(index, normal, d);
}
VECCORE_ATT_HOST_DEVICE
Precision Rectangles::Distance(Vector3D<Precision> const &point, Vector3D<Precision> const &direction) const
{
Precision bestDistance = kInfLength;
for (int i = 0, iMax = size(); i < iMax; ++i) {
Vector3D<Precision> normal = GetNormal(i);
Vector3D<Precision> side = GetSide(i);
Precision t = -(normal.Dot(point) + GetDistance(i)) / normal.Dot(direction);
Vector3D<Precision> intersection = point + t * direction;
Vector3D<Precision> fromP0 = intersection - fCorners[0][i];
Vector3D<Precision> fromP2 = intersection - fCorners[1][i];
if (t >= 0 && t < bestDistance && side.Dot(fromP0) >= 0 && (-side).Dot(fromP2) >= 0) {
bestDistance = t;
}
}
return bestDistance;
}
std::ostream &operator<<(std::ostream &os, Rectangles const &rhs);
} // End inline impl namespace
} // End global namespace
#endif // VECGEOM_VOLUMES_RECTANGLES_H_
|