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geom_helper_functions.hh
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/**
* @file geom_helper_functions.hh
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @date creation: Wed Mar 4 2015
* @date last modification: Thu Mar 5 2015
*
* @brief Helper functions for the computational geometry algorithms
*
* @section LICENSE
*
* Copyright (©) 2015 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu 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 Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef _AKANTU_GEOM_HELPER_FUNCTIONS_HH__
#define _AKANTU_GEOM_HELPER_FUNCTIONS_HH__
#include "aka_common.hh"
#include "aka_math.hh"
#include "tree_type_helper.hh"
//#include <CGAL/squared_distance_3.h>
#include "mesh_geom_common.hh"
__BEGIN_AKANTU__
/// Fuzzy compare of two points
template <class Point>
bool comparePoints(const Point & a, const Point & b) {
//std::cout << "CGAL::squared_distance(a,b) = " << CGAL::squared_distance(a,b) << std::endl;
/* std::cout << "xa = " << CGAL::to_double(a.x()) << ", ya = " << CGAL::to_double(a.y())
<< ", xb = " << CGAL::to_double(b.x()) << ", yb = " << CGAL::to_double(b.y()) << std::endl;
Real tol = 0.0000000001 ;
std::cout << "|xa-xb| = " << abs( CGAL::to_double(a.x()-b.x()) / tol )*tol
<< ", |ya-yb| = " << abs( CGAL::to_double(a.y() - b.y()) / tol )*tol << std::endl;
bool cdt2 = ( abs(CGAL::to_double(a.x()) - CGAL::to_double(b.x())) < tol ) &&
( abs(CGAL::to_double(a.y()) - CGAL::to_double(b.y())) < tol ) &&
( abs(CGAL::to_double(a.z()) - CGAL::to_double(b.z())) < tol );
bool cdt3 = Math::are_float_equal(CGAL::to_double(a.x()), CGAL::to_double(b.x())) &&
Math::are_float_equal(CGAL::to_double(a.y()), CGAL::to_double(b.y())) &&
Math::are_float_equal(CGAL::to_double(a.z()), CGAL::to_double(b.z()));
std::cout << "CGAL::compare_xyz(a,b) = " << CGAL::compare_xyz(a,b)
<< ", cdt2 = " << cdt2 << ", cdt3 = " << cdt3 << std::endl;
return ( CGAL::compare_xyz(a,b)==0 ) ;*/
return Math::are_float_equal(CGAL::to_double(a.x()), CGAL::to_double(b.x())) &&
Math::are_float_equal(CGAL::to_double(a.y()), CGAL::to_double(b.y())) &&
Math::are_float_equal(CGAL::to_double(a.z()), CGAL::to_double(b.z()));
}
/// Fuzzy compare of two segments
template <class K>
inline bool compareSegments(const CGAL::Segment_3<K> & a, const CGAL::Segment_3<K> & b) {
return (comparePoints(a.source(), b.source()) && comparePoints(a.target(), b.target())) ||
(comparePoints(a.source(), b.target()) && comparePoints(a.target(), b.source()));
}
typedef Cartesian K;
/// Compare segment pairs
inline bool compareSegmentPairs(const std::pair<K::Segment_3, UInt> & a, const std::pair<K::Segment_3, UInt> & b) {
return compareSegments(a.first, b.first);
}
/// Pair ordering operator based on first member
struct segmentPairsLess {
inline bool operator()(const std::pair<K::Segment_3, UInt> & a, const std::pair<K::Segment_3, UInt> & b) {
return CGAL::compare_lexicographically(a.first.min(), b.first.min()) || CGAL::compare_lexicographically(a.first.max(), b.first.max());
}
};
/* -------------------------------------------------------------------------- */
/* Predicates */
/* -------------------------------------------------------------------------- */
/// Predicate used to determine if two segments are equal
class IsSameSegment {
public:
IsSameSegment(const K::Segment_3 & segment):
segment(segment)
{}
bool operator()(const std::pair<K::Segment_3, UInt> & test_pair) {
return compareSegments(segment, test_pair.first);
}
protected:
const K::Segment_3 segment;
};
__END_AKANTU__
#endif // _AKANTU_GEOM_HELPER_FUNCTIONS_HH__

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