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rAKA/src/geometry/geom_helper_functions.hh
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geom_helper_functions.hh
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/**
* @file geom_helper_functions.hh
*
* @author Lucas Frerot <lucas.frerot@epfl.ch>
* @author Clement Roux <clement.roux@epfl.ch>
*
* @date creation: Fri Jan 04 2013
* @date last modification: Wed Jan 31 2018
*
* @brief Helper functions for the computational geometry algorithms
*
*
* Copyright (©) 2014-2018 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 "mesh_geom_common.hh"
namespace akantu {
/// Fuzzy compare of two points
template <class Point>
inline bool comparePoints(const Point & a, const Point & b) {
return Math::are_float_equal(a.x(), b.x()) &&
Math::are_float_equal(a.y(), b.y()) &&
Math::are_float_equal(a.z(), b.z());
}
template <>
inline bool comparePoints(const cgal::Spherical::Circular_arc_point_3 & a,
const cgal::Spherical::Circular_arc_point_3 & b) {
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()));
}
/// Compare segment pairs
inline bool
compareSegmentPairs(const std::pair<cgal::Cartesian::Segment_3, UInt> & a,
const std::pair<cgal::Cartesian::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<cgal::Cartesian::Segment_3, UInt> & a,
const std::pair<cgal::Cartesian::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 cgal::Cartesian::Segment_3 & segment)
: segment(segment) {}
bool
operator()(const std::pair<cgal::Cartesian::Segment_3, UInt> & test_pair) {
return compareSegments(segment, test_pair.first);
}
protected:
const cgal::Cartesian::Segment_3 segment;
};
} // namespace akantu
#endif // _AKANTU_GEOM_HELPER_FUNCTIONS_HH__
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