blender/extern/carve/lib/geom3d.cpp

// Begin License:
// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
// All rights reserved.
//
// This file is part of the Carve CSG Library (http://carve-csg.com/)
//
// This file may be used under the terms of the GNU General Public
// License version 2.0 as published by the Free Software Foundation
// and appearing in the file LICENSE.GPL2 included in the packaging of
// this file.
//
// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE.
// End:


#if defined(HAVE_CONFIG_H)
#  include <carve_config.h>
#endif

#include <carve/math.hpp>
#include <carve/geom3d.hpp>

#include <algorithm>

namespace carve {
  namespace geom3d {

    namespace {
      int is_same(const std::vector<const Vector *> &a,
          const std::vector<const Vector *> &b) {
        if (a.size() != b.size()) return false;

        const size_t S = a.size();
        size_t i, j, p;

        for (p = 0; p < S; ++p) {
          if (a[0] == b[p]) break;
        }
        if (p == S) return 0;

        for (i = 1, j = p + 1; j < S; ++i, ++j) if (a[i] != b[j]) goto not_fwd;
        for (       j = 0;     i < S; ++i, ++j) if (a[i] != b[j]) goto not_fwd;
        return +1;

not_fwd:
        for (i = 1, j = p - 1; j != (size_t)-1; ++i, --j) if (a[i] != b[j]) goto not_rev;
        for (       j = S - 1;           i < S; ++i, --j) if (a[i] != b[j]) goto not_rev;
        return -1;

not_rev:
        return 0;
      }
    }

    bool planeIntersection(const Plane &a, const Plane &b, Ray &r) {
      Vector N = cross(a.N, b.N);
      if (N.isZero()) {
        return false;
      }
      N.normalize();

      double dot_aa = dot(a.N, a.N);
      double dot_bb = dot(b.N, b.N);
      double dot_ab = dot(a.N, b.N);

      double determinant = dot_aa * dot_bb - dot_ab * dot_ab;

      double c1 = ( a.d * dot_bb - b.d * dot_ab) / determinant;
      double c2 = ( b.d * dot_aa - a.d * dot_ab) / determinant;

      r.D = N;
      r.v = c1 * a.N + c2 * b.N;

      return true;
    }

    IntersectionClass rayPlaneIntersection(const Plane &p,
                                           const Vector &v1,
                                           const Vector &v2,
                                           Vector &v,
                                           double &t) {
      Vector Rd = v2 - v1;
      double Vd = dot(p.N, Rd);
      double V0 = dot(p.N, v1) + p.d;

      if (carve::math::ZERO(Vd)) {
        if (carve::math::ZERO(V0)) {
          return INTERSECT_BAD;
        } else {
          return INTERSECT_NONE;
        }
      }

      t = -V0 / Vd;
      v = v1 + t * Rd;
      return INTERSECT_PLANE;
    }

    IntersectionClass lineSegmentPlaneIntersection(const Plane &p,
                                                   const LineSegment &line,
                                                   Vector &v) {
      double t;
      IntersectionClass r = rayPlaneIntersection(p, line.v1, line.v2, v, t);

      if (r <= 0) return r;

      if ((t < 0.0 && !equal(v, line.v1)) || (t > 1.0 && !equal(v, line.v2)))
        return INTERSECT_NONE;

      return INTERSECT_PLANE;
    }

    RayIntersectionClass rayRayIntersection(const Ray &r1,
                                            const Ray &r2,
                                            Vector &v1,
                                            Vector &v2,
                                            double &mu1,
                                            double &mu2) {
      if (!r1.OK() || !r2.OK()) return RR_DEGENERATE;

      Vector v_13 = r1.v - r2.v;

      double d1343 = dot(v_13, r2.D);
      double d4321 = dot(r2.D, r1.D);
      double d1321 = dot(v_13, r1.D);
      double d4343 = dot(r2.D, r2.D);
      double d2121 = dot(r1.D, r1.D);

      double numer = d1343 * d4321 - d1321 * d4343;
      double denom = d2121 * d4343 - d4321 * d4321;

      // dc - eb
      // -------
      // ab - cc

      // dc/eb - 1
      // ---------
      // a/e - cc/eb

      // dc/b - e
      // --------
      // a - cc/b

      // d/b - e/c
      // ---------
      // a/c - c/b

      if (fabs(denom) * double(1<<10) <= fabs(numer)) {
        return RR_PARALLEL;
      }

      mu1 = numer / denom;
      mu2 = (d1343 + d4321 * mu1) / d4343;

      v1 = r1.v + mu1 * r1.D;
      v2 = r2.v + mu2 * r2.D;

      return (equal(v1, v2)) ? RR_INTERSECTION : RR_NO_INTERSECTION;
    }

  }
}