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authorKrzysztof Kosi??ski <tweenk.pl@gmail.com>2015-04-27 23:39:29 +0000
committerKrzysztof KosiƄski <tweenk.pl@gmail.com>2015-04-27 23:39:29 +0000
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treefba1186e26a8cc85a1b0728425bef6f2e9aeccd9 /src/2geom/nearest-point.cpp
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-/*
- * nearest point routines for D2<SBasis> and Piecewise<D2<SBasis>>
- *
- * Authors:
- *
- * Marco Cecchetti <mrcekets at gmail.com>
- *
- * Copyright 2007-2008 authors
- *
- * This library is free software; you can redistribute it and/or
- * modify it either under the terms of the GNU Lesser General Public
- * License version 2.1 as published by the Free Software Foundation
- * (the "LGPL") or, at your option, under the terms of the Mozilla
- * Public License Version 1.1 (the "MPL"). If you do not alter this
- * notice, a recipient may use your version of this file under either
- * the MPL or the LGPL.
- *
- * You should have received a copy of the LGPL along with this library
- * in the file COPYING-LGPL-2.1; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
- * You should have received a copy of the MPL along with this library
- * in the file COPYING-MPL-1.1
- *
- * The contents of this file are subject to the Mozilla Public License
- * Version 1.1 (the "License"); you may not use this file except in
- * compliance with the License. You may obtain a copy of the License at
- * http://www.mozilla.org/MPL/
- *
- * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
- * OF ANY KIND, either express or implied. See the LGPL or the MPL for
- * the specific language governing rights and limitations.
- */
-
-
-#include <2geom/nearest-point.h>
-#include <algorithm>
-
-
-namespace Geom
-{
-
-////////////////////////////////////////////////////////////////////////////////
-// D2<SBasis> versions
-
-/*
- * Return the parameter t of a nearest point on the portion of the curve "c",
- * related to the interval [from, to], to the point "p".
- * The needed curve derivative "dc" is passed as parameter.
- * The function return the first nearest point to "p" that is found.
- */
-
-double nearest_point( Point const& p,
- D2<SBasis> const& c,
- D2<SBasis> const& dc,
- double from, double to )
-{
- if ( from > to ) std::swap(from, to);
- if ( from < 0 || to > 1 )
- {
- THROW_RANGEERROR("[from,to] interval out of bounds");
- }
- if (c.isConstant()) return from;
- SBasis dd = dot(c - p, dc);
- //std::cout << dd << std::endl;
- std::vector<double> zeros = Geom::roots(dd);
-
- double closest = from;
- double min_dist_sq = L2sq(c(from) - p);
- for ( size_t i = 0; i < zeros.size(); ++i )
- {
- double distsq = L2sq(c(zeros[i]) - p);
- if ( min_dist_sq > L2sq(c(zeros[i]) - p) )
- {
- closest = zeros[i];
- min_dist_sq = distsq;
- }
- }
- if ( min_dist_sq > L2sq( c(to) - p ) )
- closest = to;
- return closest;
-
-}
-
-/*
- * Return the parameters t of all the nearest points on the portion of
- * the curve "c", related to the interval [from, to], to the point "p".
- * The needed curve derivative "dc" is passed as parameter.
- */
-
-std::vector<double>
-all_nearest_points( Point const& p,
- D2<SBasis> const& c,
- D2<SBasis> const& dc,
- double from, double to )
-{
- std::swap(from, to);
- if ( from > to ) std::swap(from, to);
- if ( from < 0 || to > 1 )
- {
- THROW_RANGEERROR("[from,to] interval out of bounds");
- }
-
- std::vector<double> result;
- if (c.isConstant())
- {
- result.push_back(from);
- return result;
- }
- SBasis dd = dot(c - p, dc);
-
- std::vector<double> zeros = Geom::roots(dd);
- std::vector<double> candidates;
- candidates.push_back(from);
- candidates.insert(candidates.end(), zeros.begin(), zeros.end());
- candidates.push_back(to);
- std::vector<double> distsq;
- distsq.reserve(candidates.size());
- for ( unsigned int i = 0; i < candidates.size(); ++i )
- {
- distsq.push_back( L2sq(c(candidates[i]) - p) );
- }
- unsigned int closest = 0;
- double dsq = distsq[0];
- for ( unsigned int i = 1; i < candidates.size(); ++i )
- {
- if ( dsq > distsq[i] )
- {
- closest = i;
- dsq = distsq[i];
- }
- }
- for ( unsigned int i = 0; i < candidates.size(); ++i )
- {
- if( distsq[closest] == distsq[i] )
- {
- result.push_back(candidates[i]);
- }
- }
- return result;
-}
-
-
-////////////////////////////////////////////////////////////////////////////////
-// Piecewise< D2<SBasis> > versions
-
-
-double nearest_point( Point const& p,
- Piecewise< D2<SBasis> > const& c,
- double from, double to )
-{
- if ( from > to ) std::swap(from, to);
- if ( from < c.cuts[0] || to > c.cuts[c.size()] )
- {
- THROW_RANGEERROR("[from,to] interval out of bounds");
- }
-
- unsigned int si = c.segN(from);
- unsigned int ei = c.segN(to);
- if ( si == ei )
- {
- double nearest=
- nearest_point(p, c[si], c.segT(from, si), c.segT(to, si));
- return c.mapToDomain(nearest, si);
- }
- double t;
- double nearest = nearest_point(p, c[si], c.segT(from, si));
- unsigned int ni = si;
- double dsq;
- double mindistsq = distanceSq(p, c[si](nearest));
- Rect bb(Geom::Point(0,0),Geom::Point(0,0));
- for ( unsigned int i = si + 1; i < ei; ++i )
- {
- bb = *bounds_fast(c[i]);
- dsq = distanceSq(p, bb);
- if ( mindistsq <= dsq ) continue;
- t = nearest_point(p, c[i]);
- dsq = distanceSq(p, c[i](t));
- if ( mindistsq > dsq )
- {
- nearest = t;
- ni = i;
- mindistsq = dsq;
- }
- }
- bb = *bounds_fast(c[ei]);
- dsq = distanceSq(p, bb);
- if ( mindistsq > dsq )
- {
- t = nearest_point(p, c[ei], 0, c.segT(to, ei));
- dsq = distanceSq(p, c[ei](t));
- if ( mindistsq > dsq )
- {
- nearest = t;
- ni = ei;
- }
- }
- return c.mapToDomain(nearest, ni);
-}
-
-std::vector<double>
-all_nearest_points( Point const& p,
- Piecewise< D2<SBasis> > const& c,
- double from, double to )
-{
- if ( from > to ) std::swap(from, to);
- if ( from < c.cuts[0] || to > c.cuts[c.size()] )
- {
- THROW_RANGEERROR("[from,to] interval out of bounds");
- }
-
- unsigned int si = c.segN(from);
- unsigned int ei = c.segN(to);
- if ( si == ei )
- {
- std::vector<double> all_nearest =
- all_nearest_points(p, c[si], c.segT(from, si), c.segT(to, si));
- for ( unsigned int i = 0; i < all_nearest.size(); ++i )
- {
- all_nearest[i] = c.mapToDomain(all_nearest[i], si);
- }
- return all_nearest;
- }
- std::vector<double> all_t;
- std::vector< std::vector<double> > all_np;
- all_np.push_back( all_nearest_points(p, c[si], c.segT(from, si)) );
- std::vector<unsigned int> ni;
- ni.push_back(si);
- double dsq;
- double mindistsq = distanceSq( p, c[si](all_np.front().front()) );
- Rect bb(Geom::Point(0,0),Geom::Point(0,0));
- for ( unsigned int i = si + 1; i < ei; ++i )
- {
- bb = *bounds_fast(c[i]);
- dsq = distanceSq(p, bb);
- if ( mindistsq < dsq ) continue;
- all_t = all_nearest_points(p, c[i]);
- dsq = distanceSq( p, c[i](all_t.front()) );
- if ( mindistsq > dsq )
- {
- all_np.clear();
- all_np.push_back(all_t);
- ni.clear();
- ni.push_back(i);
- mindistsq = dsq;
- }
- else if ( mindistsq == dsq )
- {
- all_np.push_back(all_t);
- ni.push_back(i);
- }
- }
- bb = *bounds_fast(c[ei]);
- dsq = distanceSq(p, bb);
- if ( mindistsq >= dsq )
- {
- all_t = all_nearest_points(p, c[ei], 0, c.segT(to, ei));
- dsq = distanceSq( p, c[ei](all_t.front()) );
- if ( mindistsq > dsq )
- {
- for ( unsigned int i = 0; i < all_t.size(); ++i )
- {
- all_t[i] = c.mapToDomain(all_t[i], ei);
- }
- return all_t;
- }
- else if ( mindistsq == dsq )
- {
- all_np.push_back(all_t);
- ni.push_back(ei);
- }
- }
- std::vector<double> all_nearest;
- for ( unsigned int i = 0; i < all_np.size(); ++i )
- {
- for ( unsigned int j = 0; j < all_np[i].size(); ++j )
- {
- all_nearest.push_back( c.mapToDomain(all_np[i][j], ni[i]) );
- }
- }
- all_nearest.erase(std::unique(all_nearest.begin(), all_nearest.end()),
- all_nearest.end());
- return all_nearest;
-}
-
-} // end namespace Geom
-
-