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diff --git a/extern/carve/lib/face.cpp b/extern/carve/lib/face.cpp
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+// 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/poly.hpp>
+
+double CALC_X(const carve::geom::plane<3> &p, double y, double z) { return -(p.d + p.N.y * y + p.N.z * z) / p.N.x; }
+double CALC_Y(const carve::geom::plane<3> &p, double x, double z) { return -(p.d + p.N.x * x + p.N.z * z) / p.N.y; }
+double CALC_Z(const carve::geom::plane<3> &p, double x, double y) { return -(p.d + p.N.x * x + p.N.y * y) / p.N.z; }
+
+namespace carve {
+ namespace poly {
+
+ carve::geom2d::P2 _project_1(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.z, v.y);
+ }
+
+ carve::geom2d::P2 _project_2(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.x, v.z);
+ }
+
+ carve::geom2d::P2 _project_3(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.y, v.x);
+ }
+
+ carve::geom2d::P2 _project_4(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.y, v.z);
+ }
+
+ carve::geom2d::P2 _project_5(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.z, v.x);
+ }
+
+ carve::geom2d::P2 _project_6(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.x, v.y);
+ }
+
+
+ carve::geom3d::Vector _unproject_1(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(CALC_X(plane_eqn, p.y, p.x), p.y, p.x);
+ }
+
+ carve::geom3d::Vector _unproject_2(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(p.x, CALC_Y(plane_eqn, p.x, p.y), p.y);
+ }
+
+ carve::geom3d::Vector _unproject_3(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(p.y, p.x, CALC_Z(plane_eqn, p.y, p.x));
+ }
+
+ carve::geom3d::Vector _unproject_4(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(CALC_X(plane_eqn, p.x, p.y), p.x, p.y);
+ }
+
+ carve::geom3d::Vector _unproject_5(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(p.y, CALC_Y(plane_eqn, p.y, p.x), p.x);
+ }
+
+ carve::geom3d::Vector _unproject_6(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(p.x, p.y, CALC_Z(plane_eqn, p.x, p.y));
+ }
+
+ static carve::geom2d::P2 (*project_tab[2][3])(const carve::geom3d::Vector &) = {
+ { &_project_1, &_project_2, &_project_3 },
+ { &_project_4, &_project_5, &_project_6 }
+ };
+
+ static carve::geom3d::Vector (*unproject_tab[2][3])(const carve::geom2d::P2 &, const carve::geom3d::Plane &) = {
+ { &_unproject_1, &_unproject_2, &_unproject_3 },
+ { &_unproject_4, &_unproject_5, &_unproject_6 }
+ };
+
+ // only implemented for 3d.
+ template<unsigned ndim>
+ typename Face<ndim>::project_t Face<ndim>::getProjector(bool positive_facing, int axis) {
+ return NULL;
+ }
+
+ template<>
+ Face<3>::project_t Face<3>::getProjector(bool positive_facing, int axis) {
+ return project_tab[positive_facing ? 1 : 0][axis];
+ }
+
+ template<unsigned ndim>
+ typename Face<ndim>::unproject_t Face<ndim>::getUnprojector(bool positive_facing, int axis) {
+ return NULL;
+ }
+
+ template<>
+ Face<3>::unproject_t Face<3>::getUnprojector(bool positive_facing, int axis) {
+ return unproject_tab[positive_facing ? 1 : 0][axis];
+ }
+
+
+
+ template<unsigned ndim>
+ Face<ndim>::Face(const std::vector<const vertex_t *> &_vertices,
+ bool delay_recalc) : tagable() {
+ vertices = _vertices;
+ edges.resize(nVertices(), NULL);
+ if (!delay_recalc && !recalc()) { }
+ }
+
+ template<unsigned ndim>
+ Face<ndim>::Face(const vertex_t *a,
+ const vertex_t *b,
+ const vertex_t *c,
+ bool delay_recalc) : tagable() {
+ vertices.reserve(3);
+ vertices.push_back(a);
+ vertices.push_back(b);
+ vertices.push_back(c);
+ edges.resize(3, NULL);
+ if (!delay_recalc && !recalc()) { }
+ }
+
+ template<unsigned ndim>
+ Face<ndim>::Face(const vertex_t *a,
+ const vertex_t *b,
+ const vertex_t *c,
+ const vertex_t *d,
+ bool delay_recalc) : tagable() {
+ vertices.reserve(4);
+ vertices.push_back(a);
+ vertices.push_back(b);
+ vertices.push_back(c);
+ vertices.push_back(d);
+ edges.resize(4, NULL);
+ if (!delay_recalc && !recalc()) { }
+ }
+
+ template<unsigned ndim>
+ void Face<ndim>::invert() {
+ size_t n_verts = vertices.size();
+ std::reverse(vertices.begin(), vertices.end());
+
+ if (project != NULL) {
+ plane_eqn.negate();
+
+ int da = carve::geom::largestAxis(plane_eqn.N);
+
+ project = getProjector(plane_eqn.N.v[da] > 0, da);
+ unproject = getUnprojector(plane_eqn.N.v[da] > 0, da);
+ }
+
+ std::reverse(edges.begin(), edges.end() - 1);
+ for (size_t i = 0; i < n_verts; i++) {
+ const vertex_t *v1 = vertices[i];
+ const vertex_t *v2 = vertices[(i+1) % n_verts];
+ CARVE_ASSERT((edges[i]->v1 == v1 && edges[i]->v2 == v2) || (edges[i]->v1 == v2 && edges[i]->v2 == v1));
+ }
+ }
+
+ template<unsigned ndim>
+ bool Face<ndim>::recalc() {
+ aabb.fit(vertices.begin(), vertices.end(), vec_adapt_vertex_ptr());
+
+ if (!carve::geom3d::fitPlane(vertices.begin(), vertices.end(), vec_adapt_vertex_ptr(), plane_eqn)) {
+ return false;
+ }
+
+ int da = carve::geom::largestAxis(plane_eqn.N);
+ project = getProjector(false, da);
+
+ double A = carve::geom2d::signedArea(vertices, projector());
+ if ((A < 0.0) ^ (plane_eqn.N.v[da] < 0.0)) {
+ plane_eqn.negate();
+ }
+
+ project = getProjector(plane_eqn.N.v[da] > 0, da);
+ unproject = getUnprojector(plane_eqn.N.v[da] > 0, da);
+
+ return true;
+ }
+
+ template<unsigned ndim>
+ Face<ndim> *Face<ndim>::init(const Face *base, const std::vector<const vertex_t *> &_vertices, bool flipped) {
+ return init(base, _vertices.begin(), _vertices.end(), flipped);
+ }
+
+ template<unsigned ndim>
+ bool Face<ndim>::containsPoint(const vector_t &p) const {
+ if (!carve::math::ZERO(carve::geom::distance(plane_eqn, p))) return false;
+ // return pointInPolySimple(vertices, projector(), (this->*project)(p));
+ return carve::geom2d::pointInPoly(vertices, projector(), face::project(this, p)).iclass != POINT_OUT;
+ }
+
+ template<unsigned ndim>
+ bool Face<ndim>::containsPointInProjection(const vector_t &p) const {
+ return carve::geom2d::pointInPoly(vertices, projector(), face::project(this, p)).iclass != POINT_OUT;
+ }
+
+ template<unsigned ndim>
+ bool Face<ndim>::simpleLineSegmentIntersection(const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const {
+ if (!line.OK()) return false;
+
+ carve::geom3d::Vector p;
+ IntersectionClass intersects = carve::geom3d::lineSegmentPlaneIntersection(plane_eqn,
+ line,
+ p);
+ if (intersects == INTERSECT_NONE || intersects == INTERSECT_BAD) {
+ return false;
+ }
+
+ carve::geom2d::P2 proj_p(face::project(this, p));
+ if (carve::geom2d::pointInPolySimple(vertices, projector(), proj_p)) {
+ intersection = p;
+ return true;
+ }
+ return false;
+ }
+
+ // XXX: should try to return a pre-existing vertex in the case of a
+ // line-vertex intersection. as it stands, this code isn't used,
+ // so... meh.
+ template<unsigned ndim>
+ IntersectionClass Face<ndim>::lineSegmentIntersection(const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const {
+ if (!line.OK()) return INTERSECT_NONE;
+
+
+ carve::geom3d::Vector p;
+ IntersectionClass intersects = carve::geom3d::lineSegmentPlaneIntersection(plane_eqn,
+ line,
+ p);
+ if (intersects == INTERSECT_NONE || intersects == INTERSECT_BAD) {
+ return intersects;
+ }
+
+ carve::geom2d::P2 proj_p(face::project(this, p));
+
+ carve::geom2d::PolyInclusionInfo pi = carve::geom2d::pointInPoly(vertices, projector(), proj_p);
+ switch (pi.iclass) {
+ case POINT_VERTEX:
+ intersection = p;
+ return INTERSECT_VERTEX;
+
+ case POINT_EDGE:
+ intersection = p;
+ return INTERSECT_EDGE;
+
+ case POINT_IN:
+ intersection = p;
+ return INTERSECT_FACE;
+
+ case POINT_OUT:
+ return INTERSECT_NONE;
+
+ default:
+ break;
+ }
+ return INTERSECT_NONE;
+ }
+
+
+ }
+}
+
+// explicit instantiations.
+template class carve::poly::Face<3>;