geometric_shape_to_BVH_model.h

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#ifndef GEOMETRIC_SHAPE_TO_BVH_MODEL_H
#define GEOMETRIC_SHAPE_TO_BVH_MODEL_H

#include <hpp/fcl/shape/geometric_shapes.h>
#include <hpp/fcl/BVH/BVH_model.h>
#include <boost/math/constants/constants.hpp>

namespace hpp
{
namespace fcl
{

template<typename BV>
void generateBVHModel(BVHModel<BV>& model, const Box& shape, const Transform3f& pose)
{
  FCL_REAL a = shape.halfSide[0];
  FCL_REAL b = shape.halfSide[1];
  FCL_REAL c = shape.halfSide[2];
  std::vector<Vec3f> points(8);
  std::vector<Triangle> tri_indices(12);
  points[0] = Vec3f ( a, -b,  c);
  points[1] = Vec3f ( a,  b,  c);
  points[2] = Vec3f (-a,  b,  c);
  points[3] = Vec3f (-a, -b,  c);
  points[4] = Vec3f ( a, -b, -c);
  points[5] = Vec3f ( a,  b, -c);
  points[6] = Vec3f (-a,  b, -c);
  points[7] = Vec3f (-a, -b, -c);

  tri_indices[ 0].set(0, 4, 1);
  tri_indices[ 1].set(1, 4, 5);
  tri_indices[ 2].set(2, 6, 3);
  tri_indices[ 3].set(3, 6, 7);
  tri_indices[ 4].set(3, 0, 2);
  tri_indices[ 5].set(2, 0, 1);
  tri_indices[ 6].set(6, 5, 7);
  tri_indices[ 7].set(7, 5, 4);
  tri_indices[ 8].set(1, 5, 2);
  tri_indices[ 9].set(2, 5, 6);
  tri_indices[10].set(3, 7, 0);
  tri_indices[11].set(0, 7, 4);

  for(unsigned int i = 0; i < points.size(); ++i)
  {
    points[i] = pose.transform(points[i]).eval();
  }

  model.beginModel();
  model.addSubModel(points, tri_indices);
  model.endModel();
  model.computeLocalAABB();
}

template<typename BV>
void generateBVHModel(BVHModel<BV>& model, const Sphere& shape, const Transform3f& pose, unsigned int seg, unsigned int ring)
{
  std::vector<Vec3f> points;
  std::vector<Triangle> tri_indices;

  FCL_REAL r = shape.radius;
  FCL_REAL phi, phid;
  const FCL_REAL pi = boost::math::constants::pi<FCL_REAL>();
  phid = pi * 2 / seg;
  phi = 0;

  FCL_REAL theta, thetad;
  thetad = pi / (ring + 1);
  theta = 0;

  for(unsigned int i = 0; i < ring; ++i)
  {
    FCL_REAL theta_ = theta + thetad * (i + 1);
    for(unsigned int j = 0; j < seg; ++j)
    {
      points.push_back(Vec3f(r * sin(theta_) * cos(phi + j * phid), r * sin(theta_) * sin(phi + j * phid), r * cos(theta_)));
    }
  }
  points.push_back(Vec3f(0, 0, r));
  points.push_back(Vec3f(0, 0, -r));

  for(unsigned int i = 0; i < ring - 1; ++i)
  {
    for(unsigned int j = 0; j < seg; ++j)
    {
       unsigned int a, b, c, d;
       a = i * seg + j;
       b = (j == seg - 1) ? (i * seg) : (i * seg + j + 1);
       c = (i + 1) * seg + j;
       d = (j == seg - 1) ? ((i + 1) * seg) : ((i + 1) * seg + j + 1);
       tri_indices.push_back(Triangle(a, c, b));
       tri_indices.push_back(Triangle(b, c, d));
    }
  }

  for(unsigned int j = 0; j < seg; ++j)
  {
    unsigned int a, b;
    a = j;
    b = (j == seg - 1) ? 0 : (j + 1);
    tri_indices.push_back(Triangle(ring * seg, a, b));

    a = (ring - 1) * seg + j;
    b = (j == seg - 1) ? (ring - 1) * seg : ((ring - 1) * seg + j + 1);
    tri_indices.push_back(Triangle(a, ring * seg + 1, b));
  }

  for(unsigned int i = 0; i < points.size(); ++i)
  {
    points[i] = pose.transform(points[i]);
  }

  model.beginModel();
  model.addSubModel(points, tri_indices);
  model.endModel();
  model.computeLocalAABB();
}

template<typename BV>
void generateBVHModel(BVHModel<BV>& model, const Sphere& shape, const Transform3f& pose, unsigned int n_faces_for_unit_sphere)
{
  FCL_REAL r = shape.radius;
  FCL_REAL n_low_bound = std::sqrt((FCL_REAL)n_faces_for_unit_sphere / FCL_REAL(2.)) * r * r;
  unsigned int ring = (unsigned int) ceil(n_low_bound);
  unsigned int seg = (unsigned int) ceil(n_low_bound);

  generateBVHModel(model, shape, pose, seg, ring);  
}


template<typename BV>
void generateBVHModel(BVHModel<BV>& model, const Cylinder& shape, const Transform3f& pose, unsigned int tot, unsigned int h_num)
{
  std::vector<Vec3f> points;
  std::vector<Triangle> tri_indices;

  FCL_REAL r = shape.radius;
  FCL_REAL h = shape.halfLength;
  FCL_REAL phi, phid;
  const FCL_REAL pi = boost::math::constants::pi<FCL_REAL>();
  phid = pi * 2 / tot;
  phi = 0;

  FCL_REAL hd = 2 * h / h_num;

  for(unsigned int i = 0; i < tot; ++i)
    points.push_back(Vec3f(r * cos(phi + phid * i), r * sin(phi + phid * i), h));

  for(unsigned int i = 0; i < h_num - 1; ++i)
  {
    for(unsigned int j = 0; j < tot; ++j)
    {
      points.push_back(Vec3f(r * cos(phi + phid * j), r * sin(phi + phid * j), h - (i + 1) * hd));
    }
  }

  for(unsigned int i = 0; i < tot; ++i)
    points.push_back(Vec3f(r * cos(phi + phid * i), r * sin(phi + phid * i), - h));

  points.push_back(Vec3f(0, 0, h));
  points.push_back(Vec3f(0, 0, -h));

  for(unsigned int i = 0; i < tot; ++i)
  {
    Triangle tmp((h_num + 1) * tot, i, ((i == tot - 1) ? 0 : (i + 1)));
    tri_indices.push_back(tmp);
  }

  for(unsigned int i = 0; i < tot; ++i)
  {
    Triangle tmp((h_num + 1) * tot + 1, h_num * tot + ((i == tot - 1) ? 0 : (i + 1)), h_num * tot + i);
    tri_indices.push_back(tmp);
  }

  for(unsigned int i = 0; i < h_num; ++i)
  {
    for(unsigned int j = 0; j < tot; ++j)
    {
      int a, b, c, d;
      a = j;
      b = (j == tot - 1) ? 0 : (j + 1);
      c = j + tot;
      d = (j == tot - 1) ? tot : (j + 1 + tot);

      int start = i * tot;
      tri_indices.push_back(Triangle(start + b, start + a, start + c));
      tri_indices.push_back(Triangle(start + b, start + c, start + d));
    }
  }

  for(unsigned int i = 0; i < points.size(); ++i)
  {
    points[i] = pose.transform(points[i]);
  }

  model.beginModel();
  model.addSubModel(points, tri_indices);
  model.endModel();
  model.computeLocalAABB();
}

template<typename BV>
void generateBVHModel(BVHModel<BV>& model, const Cylinder& shape, const Transform3f& pose, unsigned int tot_for_unit_cylinder)
{
  FCL_REAL r = shape.radius;
  FCL_REAL h = 2 * shape.halfLength;

  const FCL_REAL pi = boost::math::constants::pi<FCL_REAL>();
  unsigned int tot = (unsigned int)(tot_for_unit_cylinder * r);
  FCL_REAL phid = pi * 2 / tot;

  FCL_REAL circle_edge = phid * r;
  unsigned int h_num = (unsigned int)ceil(h / circle_edge);
  
  generateBVHModel(model, shape, pose, tot, h_num);
}


template<typename BV>
void generateBVHModel(BVHModel<BV>& model, const Cone& shape, const Transform3f& pose, unsigned int tot, unsigned int h_num)
{
  std::vector<Vec3f> points;
  std::vector<Triangle> tri_indices;

  FCL_REAL r = shape.radius;
  FCL_REAL h = shape.halfLength;

  FCL_REAL phi, phid;
  const FCL_REAL pi = boost::math::constants::pi<FCL_REAL>();
  phid = pi * 2 / tot;
  phi = 0;

  FCL_REAL hd = 2 * h / h_num;

  for(unsigned int i = 0; i < h_num - 1; ++i)
  {
    FCL_REAL h_i = h - (i + 1) * hd;
    FCL_REAL rh = r * (0.5 - h_i / h / 2);
    for(unsigned int j = 0; j < tot; ++j)
    {
      points.push_back(Vec3f(rh * cos(phi + phid * j), rh * sin(phi + phid * j), h_i));
    }
  }

  for(unsigned int i = 0; i < tot; ++i)
    points.push_back(Vec3f(r * cos(phi + phid * i), r * sin(phi + phid * i), - h));

  points.push_back(Vec3f(0, 0, h));
  points.push_back(Vec3f(0, 0, -h));

  for(unsigned int i = 0; i < tot; ++i)
  {
    Triangle tmp(h_num * tot, i, (i == tot - 1) ? 0 : (i + 1));
    tri_indices.push_back(tmp);
  }

  for(unsigned int i = 0; i < tot; ++i)
  {
    Triangle tmp(h_num * tot + 1, (h_num - 1) * tot + ((i == tot - 1) ? 0 : (i + 1)), (h_num - 1) * tot + i);
    tri_indices.push_back(tmp);
  }

  for(unsigned int i = 0; i < h_num - 1; ++i)
  {
    for(unsigned int j = 0; j < tot; ++j)
    {
      int a, b, c, d;
      a = j;
      b = (j == tot - 1) ? 0 : (j + 1);
      c = j + tot;
      d = (j == tot - 1) ? tot : (j + 1 + tot);

      int start = i * tot;
      tri_indices.push_back(Triangle(start + b, start + a, start + c));
      tri_indices.push_back(Triangle(start + b, start + c, start + d));
    }
  }

  for(unsigned int i = 0; i < points.size(); ++i)
  {
    points[i] = pose.transform(points[i]);
  }

  model.beginModel();
  model.addSubModel(points, tri_indices);
  model.endModel();
  model.computeLocalAABB();
}

template<typename BV>
void generateBVHModel(BVHModel<BV>& model, const Cone& shape, const Transform3f& pose, unsigned int tot_for_unit_cone)
{
  FCL_REAL r = shape.radius;
  FCL_REAL h = 2 * shape.halfLength;

  const FCL_REAL pi = boost::math::constants::pi<FCL_REAL>();
  unsigned int tot = (unsigned int)(tot_for_unit_cone * r);
  FCL_REAL phid = pi * 2 / tot;

  FCL_REAL circle_edge = phid * r;
  unsigned int h_num = (unsigned int)ceil(h / circle_edge);

  generateBVHModel(model, shape, pose, tot, h_num);
}

}

} // namespace hpp

#endif