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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/Cartesian.h>
__BEGIN_AKANTU__
typedef CGAL::Cartesian<Real> K;
#define EPS 1e-10
/// Fuzzy compare of two points
inline bool comparePoints(const K::Point_3 & a, const K::Point_3 & b) {
Math::setTolerance(EPS);
return Math::are_float_equal(a.x(), b.x()) && Math::are_float_equal(a.y(), b.y());
}
/// Fuzzy compare of two segments
inline bool compareSegments(const K::Segment_3 & a, const K::Segment_3 & b) {
return (comparePoints(a.source(), b.source()) && comparePoints(a.target(), b.target())) ||
(comparePoints(a.source(), b.target()) && comparePoints(a.target(), b.source()));
}
/// 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 second member
inline bool comparePairElement(const std::pair<K::Segment_3, UInt> & a, const std::pair<K::Segment_3, UInt> & b) {
return a.second < b.second;
}
/// Pair ordering operator based on first member
inline bool lessSegmentPair(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 eliminate faces of mesh not belonging to a specific element
template <UInt dim, ElementType el_type>
class BelongsNotToElement {
public:
BelongsNotToElement(UInt el):
el(el)
{}
bool operator()(const typename TreeTypeHelper<dim, el_type>::primitive_type & primitive) {
return primitive.id() != el;
}
protected:
const UInt el;
};
/// Predicate used to determine if point is on edge of faces of mesh
template <UInt dim, ElementType el_type>
class HasOnEdge {
public:
HasOnEdge(const K::Point_3 & point):
point(point)
{}
bool operator()(const typename TreeTypeHelper<dim, el_type>::primitive_type & primitive) {
return primitive.has_on(point);
}
protected:
const K::Point_3 & point;
};
/// 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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