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Diffstat (limited to 'extern/carve/include/carve/triangulator_impl.hpp')
-rw-r--r--extern/carve/include/carve/triangulator_impl.hpp851
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diff --git a/extern/carve/include/carve/triangulator_impl.hpp b/extern/carve/include/carve/triangulator_impl.hpp
deleted file mode 100644
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--- a/extern/carve/include/carve/triangulator_impl.hpp
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@@ -1,851 +0,0 @@
-// Begin License:
-// Copyright (C) 2006-2014 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 either the GNU General
-// Public License version 2 or 3 (at your option) as published by the
-// Free Software Foundation and appearing in the files LICENSE.GPL2
-// and LICENSE.GPL3 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:
-
-
-#pragma once
-
-#include <carve/geom2d.hpp>
-
-#if defined(CARVE_DEBUG)
-# include <iostream>
-#endif
-
-namespace carve {
- namespace triangulate {
- namespace detail {
-
-
-
- static inline bool axisOrdering(const carve::geom2d::P2 &a,
- const carve::geom2d::P2 &b,
- int axis) {
- return a.v[axis] < b.v[axis] || (a.v[axis] == b.v[axis] && a.v[1-axis] < b.v[1-axis]);
- }
-
-
-
- /**
- * \class order_h_loops
- * \brief Provides an ordering of hole loops based upon a single
- * projected axis.
- *
- * @tparam project_t A functor which converts vertices to a 2d
- * projection.
- * @tparam hole_t A collection of vertices.
- */
- template<typename project_t, typename vert_t>
- class order_h_loops {
- const project_t &project;
- int axis;
- public:
-
- /**
- *
- * @param _project The projection functor.
- * @param _axis The axis of the 2d projection upon which hole
- * loops are ordered.
- */
- order_h_loops(const project_t &_project, int _axis) : project(_project), axis(_axis) { }
-
- bool operator()(const vert_t &a,
- const vert_t &b) const {
- return axisOrdering(project(a), project(b), axis);
- }
-
- bool operator()(
- const std::pair<const typename std::vector<vert_t> *, typename std::vector<vert_t>::const_iterator> &a,
- const std::pair<const typename std::vector<vert_t> *, typename std::vector<vert_t>::const_iterator> &b) {
- return axisOrdering(project(*(a.second)), project(*(b.second)), axis);
- }
- };
-
-
-
- /**
- * \class heap_ordering
- * \brief Provides an ordering of vertex indicies in a polygon
- * loop according to proximity to a vertex.
- *
- * @tparam project_t A functor which converts vertices to a 2d
- * projection.
- * @tparam vert_t A vertex type.
- */
- template<typename project_t, typename vert_t>
- class heap_ordering {
- const project_t &project;
- const std::vector<vert_t> &loop;
- const carve::geom2d::P2 p;
- int axis;
-
- public:
- /**
- *
- * @param _project A functor which converts vertices to a 2d
- * projection.
- * @param _loop The polygon loop which indices address.
- * @param _vert The vertex from which distance is measured.
- *
- */
- heap_ordering(const project_t &_project,
- const std::vector<vert_t> &_loop,
- vert_t _vert,
- int _axis) :
- project(_project),
- loop(_loop),
- p(_project(_vert)),
- axis(_axis) {
- }
-
- bool operator()(size_t a, size_t b) const {
- carve::geom2d::P2 pa = project(loop[a]);
- carve::geom2d::P2 pb = project(loop[b]);
- double da = carve::geom::distance2(p, pa);
- double db = carve::geom::distance2(p, pb);
- if (da > db) return true;
- if (da < db) return false;
- return axisOrdering(pa, pb, axis);
- }
- };
-
-
-
- /**
- * \brief Given a polygon loop and a hole loop, and attachment
- * points, insert the hole loop vertices into the polygon loop.
- *
- * @param[in,out] f_loop The polygon loop to incorporate the
- * hole into.
- * @param f_loop_attach[in] The index of the vertex of the
- * polygon loop that the hole is to be
- * attached to.
- * @param hole_attach[in] A pair consisting of a pointer to a
- * hole container and an iterator into
- * that container reflecting the point of
- * attachment of the hole.
- */
- template<typename vert_t>
- void patchHoleIntoPolygon(std::vector<vert_t> &f_loop,
- unsigned f_loop_attach,
- const std::pair<const std::vector<vert_t> *,
- typename std::vector<vert_t>::const_iterator> &hole_attach) {
- // join the vertex curr of the polygon loop to the hole at
- // h_loop_connect
- f_loop.insert(f_loop.begin() + f_loop_attach + 1, hole_attach.first->size() + 2, NULL);
- typename std::vector<vert_t>::iterator f = f_loop.begin() + f_loop_attach;
-
- typename std::vector<vert_t>::const_iterator h = hole_attach.second;
-
- while (h != hole_attach.first->end()) {
- *++f = *h++;
- }
-
- h = hole_attach.first->begin();
- typename std::vector<vert_t>::const_iterator he = hole_attach.second; ++he;
- while (h != he) {
- *++f = *h++;
- }
-
- *++f = f_loop[f_loop_attach];
- }
-
-
-
- struct vertex_info;
-
-
-
- /**
- * \brief Determine whether c is to the left of a->b.
- */
- static inline bool isLeft(const vertex_info *a,
- const vertex_info *b,
- const vertex_info *c);
-
-
-
- /**
- * \brief Determine whether d is contained in the triangle abc.
- */
- static inline bool pointInTriangle(const vertex_info *a,
- const vertex_info *b,
- const vertex_info *c,
- const vertex_info *d);
-
-
-
- /**
- * \class vertex_info
- * \brief Maintains a linked list of untriangulated vertices
- * during a triangulation operation.
- */
-
- struct vertex_info {
- vertex_info *prev;
- vertex_info *next;
- carve::geom2d::P2 p;
- size_t idx;
- double score;
- bool convex;
- bool failed;
-
- vertex_info(const carve::geom2d::P2 &_p, size_t _idx) :
- prev(NULL), next(NULL),
- p(_p), idx(_idx),
- score(0.0), convex(false) {
- }
-
- static double triScore(const vertex_info *p, const vertex_info *v, const vertex_info *n);
-
- double calcScore() const;
-
- void recompute() {
- score = calcScore();
- convex = isLeft(prev, this, next);
- failed = false;
- }
-
- bool isCandidate() const {
- return convex && !failed;
- }
-
- void remove() {
- next->prev = prev;
- prev->next = next;
- }
-
- bool isClipable() const;
- };
-
-
-
- static inline bool isLeft(const vertex_info *a,
- const vertex_info *b,
- const vertex_info *c) {
- if (a->idx < b->idx && b->idx < c->idx) {
- return carve::geom2d::orient2d(a->p, b->p, c->p) > 0.0;
- } else if (a->idx < c->idx && c->idx < b->idx) {
- return carve::geom2d::orient2d(a->p, c->p, b->p) < 0.0;
- } else if (b->idx < a->idx && a->idx < c->idx) {
- return carve::geom2d::orient2d(b->p, a->p, c->p) < 0.0;
- } else if (b->idx < c->idx && c->idx < a->idx) {
- return carve::geom2d::orient2d(b->p, c->p, a->p) > 0.0;
- } else if (c->idx < a->idx && a->idx < b->idx) {
- return carve::geom2d::orient2d(c->p, a->p, b->p) > 0.0;
- } else {
- return carve::geom2d::orient2d(c->p, b->p, a->p) < 0.0;
- }
- }
-
-
-
- static inline bool pointInTriangle(const vertex_info *a,
- const vertex_info *b,
- const vertex_info *c,
- const vertex_info *d) {
- return !isLeft(a, c, d) && !isLeft(b, a, d) && !isLeft(c, b, d);
- }
-
-
-
- size_t removeDegeneracies(vertex_info *&begin, std::vector<carve::triangulate::tri_idx> &result);
-
- bool splitAndResume(vertex_info *begin, std::vector<carve::triangulate::tri_idx> &result);
-
- bool doTriangulate(vertex_info *begin, std::vector<carve::triangulate::tri_idx> &result);
-
-
-
- typedef std::pair<unsigned, unsigned> vert_edge_t;
-
-
-
- struct hash_vert_edge_t {
- size_t operator()(const vert_edge_t &e) const {
- size_t r = (size_t)e.first;
- size_t s = (size_t)e.second;
- return r ^ ((s >> 16) | (s << 16));
- }
- };
-
-
-
- static inline vert_edge_t ordered_vert_edge_t(unsigned a, unsigned b) {
- return (a < b) ? vert_edge_t(a, b) : vert_edge_t(b, a);
- }
-
-
-
- struct tri_pair_t {
- carve::triangulate::tri_idx *a, *b;
- double score;
- size_t idx;
-
- tri_pair_t() : a(NULL), b(NULL), score(0.0) {
- }
-
- static inline unsigned N(unsigned i) { return (i+1)%3; }
- static inline unsigned P(unsigned i) { return (i+2)%3; }
-
- void findSharedEdge(unsigned &ai, unsigned &bi) const {
- if (a->v[1] == b->v[0]) { if (a->v[0] == b->v[1]) { ai = 0; bi = 0; } else { ai = 1; bi = 2; } return; }
- if (a->v[1] == b->v[1]) { if (a->v[0] == b->v[2]) { ai = 0; bi = 1; } else { ai = 1; bi = 0; } return; }
- if (a->v[1] == b->v[2]) { if (a->v[0] == b->v[0]) { ai = 0; bi = 2; } else { ai = 1; bi = 1; } return; }
- if (a->v[2] == b->v[0]) { ai = 2; bi = 2; return; }
- if (a->v[2] == b->v[1]) { ai = 2; bi = 0; return; }
- if (a->v[2] == b->v[2]) { ai = 2; bi = 1; return; }
- CARVE_FAIL("should not be reached");
- }
-
- void flip(vert_edge_t &old_edge,
- vert_edge_t &new_edge,
- vert_edge_t perim[4]);
-
- template<typename project_t, typename vert_t, typename distance_calc_t>
- double calc(const project_t &project,
- const std::vector<vert_t> &poly,
- distance_calc_t dist) {
- unsigned ai, bi;
- unsigned cross_ai, cross_bi;
- unsigned ea, eb;
-
- findSharedEdge(ai, bi);
-
-#if defined(CARVE_DEBUG)
- if (carve::geom2d::signedArea(project(poly[a->v[0]]), project(poly[a->v[1]]), project(poly[a->v[2]])) > 0.0 ||
- carve::geom2d::signedArea(project(poly[b->v[0]]), project(poly[b->v[1]]), project(poly[b->v[2]])) > 0.0) {
- std::cerr << "warning: triangle pair " << this << " contains triangles with incorrect orientation" << std::endl;
- }
-#endif
-
- cross_ai = P(ai);
- cross_bi = P(bi);
-
- ea = a->v[cross_ai];
- eb = b->v[cross_bi];
-
- double side_1 = carve::geom2d::orient2d(project(poly[ea]), project(poly[eb]), project(poly[a->v[ai]]));
- double side_2 = carve::geom2d::orient2d(project(poly[ea]), project(poly[eb]), project(poly[a->v[N(ai)]]));
-
- bool can_flip = (side_1 < 0.0 && side_2 > 0.0) || (side_1 > 0.0 && side_2 < 0.0);
-
- if (!can_flip) {
- score = -1;
- } else {
- score =
- dist(poly[a->v[ai]], poly[b->v[bi]]) -
- dist(poly[a->v[cross_ai]], poly[b->v[cross_bi]]);
- }
- return score;
- }
-
- template<typename project_t, typename vert_t, typename distance_calc_t>
- double edgeLen(const project_t &project,
- const std::vector<vert_t> &poly,
- distance_calc_t dist) const {
- unsigned ai, bi;
- findSharedEdge(ai, bi);
- return dist(poly[a->v[ai]], poly[b->v[bi]]);
- }
- };
-
-
-
- struct max_score {
- bool operator()(const tri_pair_t *a, const tri_pair_t *b) const { return a->score < b->score; }
- };
-
-
-
- struct tri_pairs_t {
- typedef std::unordered_map<vert_edge_t, tri_pair_t *, hash_vert_edge_t> storage_t;
- storage_t storage;
-
- tri_pairs_t() : storage() {
- };
-
- ~tri_pairs_t() {
- for (storage_t::iterator i = storage.begin(); i != storage.end(); ++i) {
- if ((*i).second) delete (*i).second;
- }
- }
-
- void insert(unsigned a, unsigned b, carve::triangulate::tri_idx *t);
-
- template<typename project_t, typename vert_t, typename distance_calc_t>
- void updateEdge(tri_pair_t *tp,
- const project_t &project,
- const std::vector<vert_t> &poly,
- distance_calc_t dist,
- std::vector<tri_pair_t *> &edges,
- size_t &n) {
- double old_score = tp->score;
- double new_score = tp->calc(project, poly, dist);
-#if defined(CARVE_DEBUG)
- std::cerr << "tp:" << tp << " old_score: " << old_score << " new_score: " << new_score << std::endl;
-#endif
- if (new_score > 0.0 && old_score <= 0.0) {
- tp->idx = n;
- edges[n++] = tp;
- } else if (new_score <= 0.0 && old_score > 0.0) {
- std::swap(edges[tp->idx], edges[--n]);
- edges[tp->idx]->idx = tp->idx;
- }
- }
-
- tri_pair_t *get(vert_edge_t &e) {
- storage_t::iterator i;
- i = storage.find(e);
- if (i == storage.end()) return NULL;
- return (*i).second;
- }
-
- template<typename project_t, typename vert_t, typename distance_calc_t>
- void flip(const project_t &project,
- const std::vector<vert_t> &poly,
- distance_calc_t dist,
- std::vector<tri_pair_t *> &edges,
- size_t &n) {
- vert_edge_t old_e, new_e;
- vert_edge_t perim[4];
-
-#if defined(CARVE_DEBUG)
- std::cerr << "improvable edges: " << n << std::endl;
-#endif
-
- tri_pair_t *tp = *std::max_element(edges.begin(), edges.begin() + n, max_score());
-
-#if defined(CARVE_DEBUG)
- std::cerr << "improving tri-pair: " << tp << " with score: " << tp->score << std::endl;
-#endif
-
- tp->flip(old_e, new_e, perim);
-
-#if defined(CARVE_DEBUG)
- std::cerr << "old_e: " << old_e.first << "," << old_e.second << " -> new_e: " << new_e.first << "," << new_e.second << std::endl;
-#endif
-
- CARVE_ASSERT(storage.find(old_e) != storage.end());
- storage.erase(old_e);
- storage[new_e] = tp;
-
- std::swap(edges[tp->idx], edges[--n]);
- edges[tp->idx]->idx = tp->idx;
-
- tri_pair_t *tp2;
-
- tp2 = get(perim[0]);
- if (tp2 != NULL) {
- updateEdge(tp2, project, poly, dist, edges, n);
- }
-
- tp2 = get(perim[1]);
- if (tp2 != NULL) {
- CARVE_ASSERT(tp2->a == tp->b || tp2->b == tp->b);
- if (tp2->a == tp->b) { tp2->a = tp->a; } else { tp2->b = tp->a; }
- updateEdge(tp2, project, poly, dist, edges, n);
- }
-
- tp2 = get(perim[2]);
- if (tp2 != NULL) {
- updateEdge(tp2, project, poly, dist, edges, n);
- }
-
- tp2 = get(perim[3]);
- if (tp2 != NULL) {
- CARVE_ASSERT(tp2->a == tp->a || tp2->b == tp->a);
- if (tp2->a == tp->a) { tp2->a = tp->b; } else { tp2->b = tp->b; }
- updateEdge(tp2, project, poly, dist, edges, n);
- }
- }
-
- template<typename project_t, typename vert_t, typename distance_calc_t>
- size_t getInternalEdges(const project_t &project,
- const std::vector<vert_t> &poly,
- distance_calc_t dist,
- std::vector<tri_pair_t *> &edges) {
- size_t count = 0;
-
- for (storage_t::iterator i = storage.begin(); i != storage.end();) {
- tri_pair_t *tp = (*i).second;
- if (tp->a && tp->b) {
- tp->calc(project, poly, dist);
- count++;
-#if defined(CARVE_DEBUG)
- std::cerr << "internal edge: " << (*i).first.first << "," << (*i).first.second << " -> " << tp << " " << tp->score << std::endl;
-#endif
- ++i;
- } else {
- delete (*i).second;
- storage.erase(i++);
- }
- }
-
- edges.resize(count);
-
- size_t fwd = 0;
- size_t rev = count;
- for (storage_t::iterator i = storage.begin(); i != storage.end(); ++i) {
- tri_pair_t *tp = (*i).second;
- if (tp && tp->a && tp->b) {
- if (tp->score > 0.0) {
- edges[fwd++] = tp;
- } else {
- edges[--rev] = tp;
- }
- }
- }
-
- CARVE_ASSERT(fwd == rev);
-
- return fwd;
- }
- };
-
-
-
- template<typename project_t, typename vert_t>
- static bool
- testCandidateAttachment(const project_t &project,
- std::vector<vert_t> &current_f_loop,
- size_t curr,
- carve::geom2d::P2 hole_min) {
- const size_t SZ = current_f_loop.size();
-
- size_t prev, next;
-
- if (curr == 0) {
- prev = SZ - 1; next = 1;
- } else if (curr == SZ - 1) {
- prev = curr - 1; next = 0;
- } else {
- prev = curr - 1; next = curr + 1;
- }
-
- if (!carve::geom2d::internalToAngle(project(current_f_loop[next]),
- project(current_f_loop[curr]),
- project(current_f_loop[prev]),
- hole_min)) {
- return false;
- }
-
- if (hole_min == project(current_f_loop[curr])) {
- return true;
- }
-
- carve::geom2d::LineSegment2 test(hole_min, project(current_f_loop[curr]));
-
- size_t v1 = current_f_loop.size() - 1;
- size_t v2 = 0;
- double v1_side = carve::geom2d::orient2d(test.v1, test.v2, project(current_f_loop[v1]));
- double v2_side = 0;
-
- while (v2 != current_f_loop.size()) {
- v2_side = carve::geom2d::orient2d(test.v1, test.v2, project(current_f_loop[v2]));
-
- if (v1_side != v2_side) {
- // XXX: need to test vertices, not indices, because they may
- // be duplicated.
- if (project(current_f_loop[v1]) != project(current_f_loop[curr]) &&
- project(current_f_loop[v2]) != project(current_f_loop[curr])) {
- carve::geom2d::LineSegment2 test2(project(current_f_loop[v1]), project(current_f_loop[v2]));
- if (carve::geom2d::lineSegmentIntersection_simple(test, test2)) {
- // intersection; failed.
- return false;
- }
- }
- }
-
- v1 = v2;
- v1_side = v2_side;
- ++v2;
- }
- return true;
- }
-
-
-
- }
-
-
-
- template<typename project_t, typename vert_t>
- static std::vector<vert_t>
- incorporateHolesIntoPolygon(const project_t &project,
- const std::vector<vert_t> &f_loop,
- const std::vector<std::vector<vert_t> > &h_loops) {
- typedef std::vector<vert_t> hole_t;
- typedef typename std::vector<vert_t>::const_iterator vert_iter;
- typedef typename std::vector<std::vector<vert_t> >::const_iterator hole_iter;
-
- size_t N = f_loop.size();
-
- // work out how much space to reserve for the patched in holes.
- for (hole_iter i = h_loops.begin(); i != h_loops.end(); ++i) {
- N += 2 + (*i).size();
- }
-
- // this is the vector that we will build the result in.
- std::vector<vert_t> current_f_loop;
- current_f_loop.reserve(N);
-
- std::vector<size_t> f_loop_heap;
- f_loop_heap.reserve(N);
-
- for (unsigned i = 0; i < f_loop.size(); ++i) {
- current_f_loop.push_back(f_loop[i]);
- }
-
- std::vector<std::pair<const std::vector<vert_t> *, vert_iter> > h_loop_min_vertex;
-
- h_loop_min_vertex.reserve(h_loops.size());
-
- // find the major axis for the holes - this is the axis that we
- // will sort on for finding vertices on the polygon to join
- // holes up to.
- //
- // it might also be nice to also look for whether it is better
- // to sort ascending or descending.
- //
- // another trick that could be used is to modify the projection
- // by 90 degree rotations or flipping about an axis. just as
- // long as we keep the carve::geom3d::Vector pointers for the
- // real data in sync, everything should be ok. then we wouldn't
- // need to accomodate axes or sort order in the main loop.
-
- // find the bounding box of all the holes.
- bool first = true;
- double min_x, min_y, max_x, max_y;
- for (hole_iter i = h_loops.begin(); i != h_loops.end(); ++i) {
- const hole_t &hole(*i);
- for (vert_iter j = hole.begin(); j != hole.end(); ++j) {
- carve::geom2d::P2 curr = project(*j);
- if (first) {
- min_x = max_x = curr.x;
- min_y = max_y = curr.y;
- first = false;
- } else {
- min_x = std::min(min_x, curr.x);
- min_y = std::min(min_y, curr.y);
- max_x = std::max(max_x, curr.x);
- max_y = std::max(max_y, curr.y);
- }
- }
- }
-
- // choose the axis for which the bbox is largest.
- int axis = (max_x - min_x) > (max_y - min_y) ? 0 : 1;
-
- // for each hole, find the minimum vertex in the chosen axis.
- for (hole_iter i = h_loops.begin(); i != h_loops.end(); ++i) {
- const hole_t &hole = *i;
- vert_iter best_i = std::min_element(hole.begin(), hole.end(), detail::order_h_loops<project_t, vert_t>(project, axis));
- h_loop_min_vertex.push_back(std::make_pair(&hole, best_i));
- }
-
- // sort the holes by the minimum vertex.
- std::sort(h_loop_min_vertex.begin(), h_loop_min_vertex.end(), detail::order_h_loops<project_t, vert_t>(project, axis));
-
- // now, for each hole, find a vertex in the current polygon loop that it can be joined to.
- for (unsigned i = 0; i < h_loop_min_vertex.size(); ++i) {
- const size_t N_f_loop = current_f_loop.size();
-
- // the index of the vertex in the hole to connect.
- vert_iter h_loop_connect = h_loop_min_vertex[i].second;
-
- carve::geom2d::P2 hole_min = project(*h_loop_connect);
-
- f_loop_heap.clear();
- // we order polygon loop vertices that may be able to be connected
- // to the hole vertex by their distance to the hole vertex
- detail::heap_ordering<project_t, vert_t> _heap_ordering(project, current_f_loop, *h_loop_connect, axis);
-
- for (size_t j = 0; j < N_f_loop; ++j) {
- // it is guaranteed that there exists a polygon vertex with
- // coord < the min hole coord chosen, which can be joined to
- // the min hole coord without crossing the polygon
- // boundary. also, because we merge holes in ascending
- // order, it is also true that this join can never cross
- // another hole (and that doesn't need to be tested for).
- if (project(current_f_loop[j]).v[axis] <= hole_min.v[axis]) {
- f_loop_heap.push_back(j);
- std::push_heap(f_loop_heap.begin(), f_loop_heap.end(), _heap_ordering);
- }
- }
-
- // we are going to test each potential (according to the
- // previous test) polygon vertex as a candidate join. we order
- // by closeness to the hole vertex, so that the join we make
- // is as small as possible. to test, we need to check the
- // joining line segment does not cross any other line segment
- // in the current polygon loop (excluding those that have the
- // vertex that we are attempting to join with as an endpoint).
- size_t attachment_point = current_f_loop.size();
-
- while (f_loop_heap.size()) {
- std::pop_heap(f_loop_heap.begin(), f_loop_heap.end(), _heap_ordering);
- size_t curr = f_loop_heap.back();
- f_loop_heap.pop_back();
- // test the candidate join from current_f_loop[curr] to hole_min
-
- if (!detail::testCandidateAttachment(project, current_f_loop, curr, hole_min)) {
- continue;
- }
-
- attachment_point = curr;
- break;
- }
-
- if (attachment_point == current_f_loop.size()) {
- CARVE_FAIL("didn't manage to link up hole!");
- }
-
- detail::patchHoleIntoPolygon(current_f_loop, attachment_point, h_loop_min_vertex[i]);
- }
-
- return current_f_loop;
- }
-
-
-
- template<typename project_t, typename vert_t>
- void triangulate(const project_t &project,
- const std::vector<vert_t> &poly,
- std::vector<tri_idx> &result) {
- std::vector<detail::vertex_info *> vinfo;
- const size_t N = poly.size();
-
- result.clear();
- if (N < 3) {
- return;
- }
-
- result.reserve(poly.size() - 2);
-
- if (N == 3) {
- result.push_back(tri_idx(0, 1, 2));
- return;
- }
-
- vinfo.resize(N);
-
- vinfo[0] = new detail::vertex_info(project(poly[0]), 0);
- for (size_t i = 1; i < N-1; ++i) {
- vinfo[i] = new detail::vertex_info(project(poly[i]), i);
- vinfo[i]->prev = vinfo[i-1];
- vinfo[i-1]->next = vinfo[i];
- }
- vinfo[N-1] = new detail::vertex_info(project(poly[N-1]), N-1);
- vinfo[N-1]->prev = vinfo[N-2];
- vinfo[N-1]->next = vinfo[0];
- vinfo[0]->prev = vinfo[N-1];
- vinfo[N-2]->next = vinfo[N-1];
-
- for (size_t i = 0; i < N; ++i) {
- vinfo[i]->recompute();
- }
-
- detail::vertex_info *begin = vinfo[0];
-
- removeDegeneracies(begin, result);
- doTriangulate(begin, result);
- }
-
-
-
- template<typename project_t, typename vert_t, typename distance_calc_t>
- void improve(const project_t &project,
- const std::vector<vert_t> &poly,
- distance_calc_t dist,
- std::vector<tri_idx> &result) {
- detail::tri_pairs_t tri_pairs;
-
-#if defined(CARVE_DEBUG)
- bool warn = false;
- for (size_t i = 0; i < result.size(); ++i) {
- tri_idx &t = result[i];
- if (carve::geom2d::signedArea(project(poly[t.a]), project(poly[t.b]), project(poly[t.c])) > 0) {
- warn = true;
- }
- }
- if (warn) {
- std::cerr << "carve::triangulate::improve(): Some triangles are incorrectly oriented. Results may be incorrect." << std::endl;
- }
-#endif
-
- for (size_t i = 0; i < result.size(); ++i) {
- tri_idx &t = result[i];
- tri_pairs.insert(t.a, t.b, &t);
- tri_pairs.insert(t.b, t.c, &t);
- tri_pairs.insert(t.c, t.a, &t);
- }
-
- std::vector<detail::tri_pair_t *> edges;
- size_t n = tri_pairs.getInternalEdges(project, poly, dist, edges);
- for (size_t i = 0; i < n; ++i) {
- edges[i]->idx = i;
- }
-
- // procedure:
- // while a tri pair with a positive score exists:
- // p = pair with highest positive score
- // flip p, rewriting its two referenced triangles.
- // negate p's score
- // for each q in the up-to-four adjoining tri pairs:
- // update q's tri ptr, if changed, and its score.
-
-#if defined(CARVE_DEBUG)
- double initial_score = 0;
- for (size_t i = 0; i < edges.size(); ++i) {
- initial_score += edges[i]->edgeLen(project, poly, dist);
- }
- std::cerr << "initial score: " << initial_score << std::endl;
-#endif
-
- while (n) {
- tri_pairs.flip(project, poly, dist, edges, n);
- }
-
-#if defined(CARVE_DEBUG)
- double final_score = 0;
- for (size_t i = 0; i < edges.size(); ++i) {
- final_score += edges[i]->edgeLen(project, poly, dist);
- }
- std::cerr << "final score: " << final_score << std::endl;
-#endif
-
-#if defined(CARVE_DEBUG)
- if (!warn) {
- for (size_t i = 0; i < result.size(); ++i) {
- tri_idx &t = result[i];
- CARVE_ASSERT (carve::geom2d::signedArea(project(poly[t.a]), project(poly[t.b]), project(poly[t.c])) <= 0.0);
- }
- }
-#endif
- }
-
-
-
- template<typename project_t, typename vert_t>
- void improve(const project_t &project,
- const std::vector<vert_t> &poly,
- std::vector<tri_idx> &result) {
- improve(project, poly, carve::geom::distance_functor(), result);
- }
-
-
-
- }
-}