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create/src/Mod/CAM/App/Voronoi.cpp
2024-03-04 11:18:41 -06:00

306 lines
8.9 KiB
C++

/***************************************************************************
* Copyright (c) 2020 sliptonic <shopinthewoods@gmail.com> *
* *
* This file is part of the FreeCAD CAx development system. *
* *
* This library is free software; you can redistribute it and/or *
* modify it under the terms of the GNU Library General Public *
* License as published by the Free Software Foundation; either *
* version 2 of the License, or (at your option) any later version. *
* *
* This library 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 Library General Public License for more details. *
* *
* You should have received a copy of the GNU Library General Public *
* License along with this library; see the file COPYING.LIB. If not, *
* write to the Free Software Foundation, Inc., 59 Temple Place, *
* Suite 330, Boston, MA 02111-1307, USA *
* *
***************************************************************************/
#include "PreCompiled.h"
#ifndef _PreComp_
#define _USE_MATH_DEFINES
# include <math.h>
#endif
#include <Base/Vector3D.h>
#include "Voronoi.h"
using namespace Base;
using namespace Path;
TYPESYSTEM_SOURCE(Path::Voronoi , Base::BaseClass)
// Helpers
// Voronoi::diagram_type
Voronoi::diagram_type::diagram_type()
:scale(1000)
{
}
double Voronoi::diagram_type::getScale() const {
return scale;
}
void Voronoi::diagram_type::setScale(double s) {
scale = s;
}
Base::Vector3d Voronoi::diagram_type::scaledVector(double x, double y, double z) const {
return Base::Vector3d(x / scale, y / scale, z);
}
Base::Vector3d Voronoi::diagram_type::scaledVector(const point_type &p, double z) const {
return scaledVector(p.x(), p.y(), z);
}
Base::Vector3d Voronoi::diagram_type::scaledVector(const vertex_type &v, double z) const {
return scaledVector(v.x(), v.y(), z);
}
int Voronoi::diagram_type::index(const Voronoi::diagram_type::cell_type *cell) const {
auto it = cell_index.find(intptr_t(cell));
if (it == cell_index.end()) {
return Voronoi::InvalidIndex;
}
return it->second;
}
int Voronoi::diagram_type::index(const Voronoi::diagram_type::edge_type *edge) const {
auto it = edge_index.find(intptr_t(edge));
if (it == edge_index.end()) {
return Voronoi::InvalidIndex;
}
return it->second;
}
int Voronoi::diagram_type::index(const Voronoi::diagram_type::vertex_type *vertex) const {
auto it = vertex_index.find(intptr_t(vertex));
if (it == vertex_index.end()) {
return Voronoi::InvalidIndex;
}
return it->second;
}
void Voronoi::diagram_type::reIndex() {
int idx = 0;
cell_index.clear();
edge_index.clear();
vertex_index.clear();
idx = 0;
for (auto it = cells().begin(); it != cells().end(); ++it, ++idx) {
cell_index[intptr_t(&(*it))] = idx;
}
idx = 0;
for (auto it = edges().begin(); it != edges().end(); ++it, ++idx) {
edge_index[intptr_t(&(*it))] = idx;
}
idx = 0;
for (auto it = vertices().begin(); it != vertices().end(); ++it, ++idx) {
vertex_index[intptr_t(&(*it))] = idx;
}
}
Voronoi::point_type Voronoi::diagram_type::retrievePoint(const Voronoi::diagram_type::cell_type *cell) const {
Voronoi::diagram_type::cell_type::source_index_type index = cell->source_index();
Voronoi::diagram_type::cell_type::source_category_type category = cell->source_category();
if (category == boost::polygon::SOURCE_CATEGORY_SINGLE_POINT) {
return points[index];
}
index -= points.size();
if (category == boost::polygon::SOURCE_CATEGORY_SEGMENT_START_POINT) {
return low(segments[index]);
} else {
return high(segments[index]);
}
}
Voronoi::segment_type Voronoi::diagram_type::retrieveSegment(const Voronoi::diagram_type::cell_type *cell) const {
Voronoi::diagram_type::cell_type::source_index_type index = cell->source_index() - points.size();
return segments[index];
}
// Voronoi
Voronoi::Voronoi()
:vd(new diagram_type)
{
}
Voronoi::~Voronoi()
{
}
void Voronoi::addPoint(const Voronoi::point_type &p) {
Voronoi::point_type pi;
pi.x(p.x() * vd->getScale());
pi.y(p.y() * vd->getScale());
vd->points.push_back(pi);
}
void Voronoi::addSegment(const Voronoi::segment_type &s) {
Voronoi::point_type pil, pih;
pil.x(low(s).x() * vd->getScale());
pil.y(low(s).y() * vd->getScale());
pih.x(high(s).x() * vd->getScale());
pih.y(high(s).y() * vd->getScale());
vd->segments.emplace_back(pil, pih);
}
long Voronoi::numPoints() const {
return vd->points.size();
}
long Voronoi::numSegments() const {
return vd->segments.size();
}
long Voronoi::numCells() const {
return vd->num_cells();
}
long Voronoi::numEdges() const {
return vd->num_edges();
}
long Voronoi::numVertices() const {
return vd->num_vertices();
}
void Voronoi::construct()
{
vd->clear();
construct_voronoi(vd->points.begin(), vd->points.end(), vd->segments.begin(), vd->segments.end(), static_cast<voronoi_diagram_type*>(vd));
vd->reIndex();
}
void Voronoi::colorExterior(const Voronoi::diagram_type::edge_type *edge, std::size_t colorValue) {
if (edge->color()) {
// end recursion
return;
}
edge->color(colorValue);
edge->twin()->color(colorValue);
auto v = edge->vertex1();
if (!v || !edge->is_primary()) {
return;
}
v->color(colorValue);
auto e = v->incident_edge();
do {
colorExterior(e, colorValue);
e = e->rot_next();
} while (e != v->incident_edge());
}
void Voronoi::colorExterior(Voronoi::color_type color) {
for (diagram_type::const_edge_iterator it = vd->edges().begin(); it != vd->edges().end(); ++it) {
if (it->is_infinite()) {
colorExterior(&(*it), color);
}
}
}
void Voronoi::colorTwins(Voronoi::color_type color) {
for (diagram_type::const_edge_iterator it = vd->edges().begin(); it != vd->edges().end(); ++it) {
if (!it->color()) {
auto twin = it->twin();
if (!twin->color()) {
twin->color(color);
}
}
}
}
double Voronoi::diagram_type::angleOfSegment(int i, Voronoi::diagram_type::angle_map_t *angle) const {
Voronoi::diagram_type::angle_map_t::const_iterator a = angle ? angle->find(i) : Voronoi::diagram_type::angle_map_t::const_iterator();
if (!angle || a == angle->end()) {
Voronoi::point_type p0 = low(segments[i]);
Voronoi::point_type p1 = high(segments[i]);
double ang = 0;
if (p0.x() == p1.x()) {
if (p0.y() < p1.y()) {
ang = M_PI_2;
} else {
ang = -M_PI_2;
}
} else {
ang = atan((p0.y() - p1.y()) / (p0.x() - p1.x()));
}
if (angle) {
angle->insert(angle_map_t::value_type(i, ang));
}
return ang;
}
return a->second;
}
static bool pointsMatch(const Voronoi::point_type &p0, const Voronoi::point_type &p1) {
return long(p0.x()) == long(p1.x()) && long(p0.y()) == long(p1.y());
}
bool Voronoi::diagram_type::segmentsAreConnected(int i, int j) const {
return
pointsMatch(low(segments[i]), low(segments[j]))
|| pointsMatch(low(segments[i]), high(segments[j]))
|| pointsMatch(high(segments[i]), low(segments[j]))
|| pointsMatch(high(segments[i]), high(segments[j]));
}
void Voronoi::colorColinear(Voronoi::color_type color, double degree) {
double rad = degree * M_PI / 180;
Voronoi::diagram_type::angle_map_t angle;
int psize = vd->points.size();
for (diagram_type::const_edge_iterator it = vd->edges().begin(); it != vd->edges().end(); ++it) {
int i0 = it->cell()->source_index() - psize;
int i1 = it->twin()->cell()->source_index() - psize;
if (it->color() == 0
&& it->cell()->contains_segment()
&& it->twin()->cell()->contains_segment()
&& vd->segmentsAreConnected(i0, i1)) {
double a0 = vd->angleOfSegment(i0, &angle);
double a1 = vd->angleOfSegment(i1, &angle);
double a = a0 - a1;
if (a > M_PI_2) {
a -= M_PI;
} else if (a < -M_PI_2) {
a += M_PI;
}
if (fabs(a) < rad) {
it->color(color);
it->twin()->color(color);
}
}
}
}
void Voronoi::resetColor(Voronoi::color_type color) {
for (auto it = vd->cells().begin(); it != vd->cells().end(); ++it) {
if (color == 0 || it->color() == color) {
it->color(0);
}
}
for (auto it = vd->edges().begin(); it != vd->edges().end(); ++it) {
if (it->color() == color) {
it->color(0);
}
}
for (auto it = vd->vertices().begin(); it != vd->vertices().end(); ++it) {
if (it->color() == color) {
it->color(0);
}
}
}