/* * OpenSCAD (www.openscad.at) * Copyright (C) 2009 Clifford Wolf * * 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA * */ #define INCLUDE_ABSTRACT_NODE_DETAILS #include "openscad.h" CSGTerm::CSGTerm(PolySet *polyset, double m[16], QString label) { this->type = TYPE_PRIMITIVE; this->polyset = polyset; this->label = label; this->left = NULL; this->right = NULL; for (int i = 0; i < 16; i++) this->m[i] = m[i]; refcounter = 1; } CSGTerm::CSGTerm(type_e type, CSGTerm *left, CSGTerm *right) { this->type = type; this->polyset = NULL; this->left = left; this->right = right; refcounter = 1; } CSGTerm *CSGTerm::normalize() { // This function implements the CSG normalization // Reference: Florian Kirsch, Juergen Doeller, // OpenCSG: A Library for Image-Based CSG Rendering, // University of Potsdam, Hasso-Plattner-Institute, Germany // http://www.opencsg.org/data/csg_freenix2005_paper.pdf if (type == TYPE_PRIMITIVE) return link(); CSGTerm *t1, *t2, *x, *y; x = left->normalize(); y = right->normalize(); if (x != left || y != right) { t1 = new CSGTerm(type, x, y); } else { t1 = link(); x->unlink(); y->unlink(); } while (1) { t2 = t1->normalize_tail(); t1->unlink(); if (t1 == t2) break; t1 = t2; } return t1; } CSGTerm *CSGTerm::normalize_tail() { CSGTerm *x, *y, *z; // Part A: The 'x . (y . z)' expressions x = left; y = right->left; z = right->right; // 1. x - (y + z) -> (x - y) - z if (type == TYPE_DIFFERENCE && right->type == TYPE_UNION) return new CSGTerm(TYPE_DIFFERENCE, new CSGTerm(TYPE_DIFFERENCE, x->link(), y->link()), z->link()); // 2. x * (y + z) -> (x * y) + (x * z) if (type == TYPE_INTERSECTION && right->type == TYPE_UNION) return new CSGTerm(TYPE_UNION, new CSGTerm(TYPE_INTERSECTION, x->link(), y->link()), new CSGTerm(TYPE_INTERSECTION, x->link(), z->link())); // 3. x - (y * z) -> (x - y) + (x - z) if (type == TYPE_DIFFERENCE && right->type == TYPE_INTERSECTION) return new CSGTerm(TYPE_UNION, new CSGTerm(TYPE_DIFFERENCE, x->link(), y->link()), new CSGTerm(TYPE_DIFFERENCE, x->link(), z->link())); // 4. x * (y * z) -> (x * y) * z if (type == TYPE_INTERSECTION && right->type == TYPE_INTERSECTION) return new CSGTerm(TYPE_INTERSECTION, new CSGTerm(TYPE_INTERSECTION, x->link(), y->link()), z->link()); // 5. x - (y - z) -> (x - y) + (x * z) if (type == TYPE_DIFFERENCE && right->type == TYPE_DIFFERENCE) return new CSGTerm(TYPE_UNION, new CSGTerm(TYPE_DIFFERENCE, x->link(), y->link()), new CSGTerm(TYPE_INTERSECTION, x->link(), z->link())); // 6. x * (y - z) -> (x * y) - z if (type == TYPE_INTERSECTION && right->type == TYPE_DIFFERENCE) return new CSGTerm(TYPE_DIFFERENCE, new CSGTerm(TYPE_INTERSECTION, x->link(), y->link()), z->link()); // Part B: The '(x . y) . z' expressions x = left->left; y = left->right; z = right; // 7. (x - y) * z -> (x * z) - y if (left->type == TYPE_DIFFERENCE && type == TYPE_INTERSECTION) return new CSGTerm(TYPE_DIFFERENCE, new CSGTerm(TYPE_INTERSECTION, x->link(), z->link()), y->link()); // 8. (x + y) - z -> (x - z) + (y - z) if (left->type == TYPE_UNION && type == TYPE_DIFFERENCE) return new CSGTerm(TYPE_UNION, new CSGTerm(TYPE_DIFFERENCE, x->link(), z->link()), new CSGTerm(TYPE_DIFFERENCE, y->link(), z->link())); // 9. (x + y) * z -> (x * z) + (y * z) if (left->type == TYPE_UNION && type == TYPE_INTERSECTION) return new CSGTerm(TYPE_UNION, new CSGTerm(TYPE_INTERSECTION, x->link(), z->link()), new CSGTerm(TYPE_INTERSECTION, y->link(), z->link())); return link(); } CSGTerm *CSGTerm::link() { refcounter++; return this; } void CSGTerm::unlink() { if (--refcounter <= 0) { if (polyset) polyset->unlink(); if (left) left->unlink(); if (right) right->unlink(); delete this; } } QString CSGTerm::dump() { if (type == TYPE_UNION) return QString("(%1 + %2)").arg(left->dump(), right->dump()); if (type == TYPE_INTERSECTION) return QString("(%1 * %2)").arg(left->dump(), right->dump()); if (type == TYPE_DIFFERENCE) return QString("(%1 - %2)").arg(left->dump(), right->dump()); return label; } CSGChain::CSGChain() { } void CSGChain::add(PolySet *polyset, double *m, CSGTerm::type_e type, QString label) { polysets.append(polyset); matrices.append(m); types.append(type); labels.append(label); } void CSGChain::import(CSGTerm *term, CSGTerm::type_e type) { if (term->type == CSGTerm::TYPE_PRIMITIVE) { add(term->polyset, term->m, type, term->label); } else { import(term->left, type); import(term->right, term->type); } } QString CSGChain::dump() { QString text; for (int i = 0; i < types.size(); i++) { if (types[i] == CSGTerm::TYPE_UNION) { if (i != 0) text += "\n"; text += "+"; } if (types[i] == CSGTerm::TYPE_DIFFERENCE) text += " -"; if (types[i] == CSGTerm::TYPE_INTERSECTION) text += " *"; text += labels[i]; } text += "\n"; return text; }