GridHelpers.h

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/*
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 */
 
#pragma once
 
#include <vector>
 
#include "FRS_freestyle.h"
 
#include "GeomUtils.h"
#include "Polygon.h"
 
#include "../winged_edge/WEdge.h"
 
#ifdef WITH_CXX_GUARDEDALLOC
#  include "MEM_guardedalloc.h"
#endif
 
namespace Freestyle {
 
namespace GridHelpers {
 
template<class T> T closestPointToSegment(const T &P, const T &A, const T &B, real &distance)
{
  T AB, AP, BP;
  AB = B - A;
  AP = P - A;
  BP = P - B;
 
  real c1(AB * AP);
  if (c1 <= 0) {
    distance = AP.norm();
    return A;  // A is closest point
  }
 
  real c2(AB * AB);
  if (c2 <= c1) {
    distance = BP.norm();
    return B;  // B is closest point
  }
 
  real b = c1 / c2;
  T Pb, PPb;
  Pb = A + b * AB;
  PPb = P - Pb;
 
  distance = PPb.norm();
  return Pb;  // closest point lies on AB
}
 
inline Vec3r closestPointOnPolygon(const Vec3r &point, const Polygon3r &poly)
{
  // First cast a ray from the point onto the polygon plane
  // If the ray intersects the polygon, then the intersection point
  // is the closest point on the polygon
  real t, u, v;
  if (poly.rayIntersect(point, poly.getNormal(), t, u, v)) {
    return point + poly.getNormal() * t;
  }
 
  // Otherwise, get the nearest point on each edge, and take the closest
  real distance;
  Vec3r closest = closestPointToSegment(
      point, poly.getVertices()[2], poly.getVertices()[0], distance);
  for (unsigned int i = 0; i < 2; ++i) {
    real t;
    Vec3r p = closestPointToSegment(point, poly.getVertices()[i], poly.getVertices()[i + 1], t);
    if (t < distance) {
      distance = t;
      closest = p;
    }
  }
  return closest;
}
 
inline real distancePointToPolygon(const Vec3r &point, const Polygon3r &poly)
{
  // First cast a ray from the point onto the polygon plane
  // If the ray intersects the polygon, then the intersection point
  // is the closest point on the polygon
  real t, u, v;
  if (poly.rayIntersect(point, poly.getNormal(), t, u, v)) {
    return (t > 0.0) ? t : -t;
  }
 
  // Otherwise, get the nearest point on each edge, and take the closest
  real distance = GeomUtils::distPointSegment(point, poly.getVertices()[2], poly.getVertices()[0]);
  for (unsigned int i = 0; i < 2; ++i) {
    real t = GeomUtils::distPointSegment(point, poly.getVertices()[i], poly.getVertices()[i + 1]);
    if (t < distance) {
      distance = t;
    }
  }
  return distance;
}
 
class Transform {
 public:
  virtual ~Transform() = 0;
  virtual Vec3r operator()(const Vec3r &point) const = 0;
 
#ifdef WITH_CXX_GUARDEDALLOC
  MEM_CXX_CLASS_ALLOC_FUNCS("Freestyle:GridHelpers:Transform")
#endif
};
 
inline bool insideProscenium(const real proscenium[4], const Polygon3r &polygon)
{
  // N.B. The bounding box check is redundant for inserting occluders into cells, because the cell
  // selection code in insertOccluders has already guaranteed that the bounding boxes will overlap.
  // First check the viewport edges, since they are the easiest case
  // Check if the bounding box is entirely outside the proscenium
  Vec3r bbMin, bbMax;
  polygon.getBBox(bbMin, bbMax);
  if (bbMax[0] < proscenium[0] || bbMin[0] > proscenium[1] || bbMax[1] < proscenium[2] ||
      bbMin[1] > proscenium[3]) {
    return false;
  }
 
  Vec3r boxCenter(proscenium[0] + (proscenium[1] - proscenium[0]) / 2.0,
                  proscenium[2] + (proscenium[3] - proscenium[2]) / 2.0,
                  0.0);
  Vec3r boxHalfSize(
      (proscenium[1] - proscenium[0]) / 2.0, (proscenium[3] - proscenium[2]) / 2.0, 1.0);
  Vec3r triverts[3] = {
      Vec3r(polygon.getVertices()[0][0], polygon.getVertices()[0][1], 0.0),
      Vec3r(polygon.getVertices()[1][0], polygon.getVertices()[1][1], 0.0),
      Vec3r(polygon.getVertices()[2][0], polygon.getVertices()[2][1], 0.0),
  };
  return GeomUtils::overlapTriangleBox(boxCenter, boxHalfSize, triverts);
}
 
inline vector<Vec3r> enumerateVertices(const vector<WOEdge *> &fedges)
{
  vector<Vec3r> points;
  // Iterate over vertices, storing projections in points
  for (vector<WOEdge *>::const_iterator woe = fedges.begin(), woend = fedges.end(); woe != woend;
       woe++) {
    points.push_back((*woe)->GetaVertex()->GetVertex());
  }
 
  return points;
}
 
void getDefaultViewProscenium(real viewProscenium[4]);
 
inline void expandProscenium(real proscenium[4], const Polygon3r &polygon)
{
  Vec3r bbMin, bbMax;
  polygon.getBBox(bbMin, bbMax);
 
  const real epsilon = 1.0e-6;
 
  if (bbMin[0] <= proscenium[0]) {
    proscenium[0] = bbMin[0] - epsilon;
  }
 
  if (bbMin[1] <= proscenium[2]) {
    proscenium[2] = bbMin[1] - epsilon;
  }
 
  if (bbMax[0] >= proscenium[1]) {
    proscenium[1] = bbMax[0] + epsilon;
  }
 
  if (bbMax[1] >= proscenium[3]) {
    proscenium[3] = bbMax[1] + epsilon;
  }
}
 
inline void expandProscenium(real proscenium[4], const Vec3r &point)
{
  const real epsilon = 1.0e-6;
 
  if (point[0] <= proscenium[0]) {
    proscenium[0] = point[0] - epsilon;
  }
 
  if (point[1] <= proscenium[2]) {
    proscenium[2] = point[1] - epsilon;
  }
 
  if (point[0] >= proscenium[1]) {
    proscenium[1] = point[0] + epsilon;
  }
 
  if (point[1] >= proscenium[3]) {
    proscenium[3] = point[1] + epsilon;
  }
}
 
};  // namespace GridHelpers
 
} /* namespace Freestyle */