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rAKA akantu
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
*
* @section LICENSE
*
* 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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