225 lines
6.6 KiB
C++
225 lines
6.6 KiB
C++
// Copyright (c) 2005 INRIA Sophia-Antipolis (France).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Stream_lines_2/include/CGAL/Triangular_field_2.h $
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// $Id: Triangular_field_2.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
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// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
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//
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//
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// Author(s) : Abdelkrim Mebarki <Abdelkrim.Mebarki@sophia.inria.fr>
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#ifndef CGAL_TRIANGULAR_FIELD_2_H_
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#define CGAL_TRIANGULAR_FIELD_2_H_
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#include <CGAL/license/Stream_lines_2.h>
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#include <CGAL/Delaunay_triangulation_2.h>
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#include <CGAL/Polygon_2_algorithms.h>
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#include <CGAL/squared_distance_2.h>
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#include <cfloat>
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#include <cstdlib>
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#include <iostream>
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#include <fstream>
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#include <list>
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#include <cmath>
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#include <string>
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#include <CGAL/Triangulation_face_base_with_info_2.h>
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namespace CGAL {
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template <class StreamLinesTraits_2>
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class Triangular_field_2
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{
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public:
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typedef Triangular_field_2<StreamLinesTraits_2> Vector_field_2;
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typedef StreamLinesTraits_2 Geom_traits;
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typedef typename StreamLinesTraits_2::FT FT;
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typedef typename StreamLinesTraits_2::Point_2 Point_2;
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typedef typename StreamLinesTraits_2::Vector_2 Vector_2;
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protected:
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typedef CGAL::Triangulation_vertex_base_2<StreamLinesTraits_2> Vb;
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typedef CGAL::Triangulation_face_base_with_info_2<Vector_2, StreamLinesTraits_2> Fb;
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typedef CGAL::Triangulation_data_structure_2<Vb,Fb> TDS;
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typedef CGAL::Delaunay_triangulation_2<StreamLinesTraits_2,TDS> D_Ttr;
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typedef typename D_Ttr::Vertex_handle Vertex_handle;
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typedef typename TDS::Face_handle Face_handle;
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public:
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typedef typename D_Ttr::Vertex_iterator Vertex_iterator;
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D_Ttr m_D_Ttr;
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protected:
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Vector_2 get_vector_field(const Point_2 & p) const;
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FT get_density_field(const Point_2 & p) const;
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template <class PointInputIterator, class VectorInputIterator>
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void fill(PointInputIterator pBegin, PointInputIterator pEnd, VectorInputIterator vBegin)
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{
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std::cout << "reading file...\n";
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while(pBegin != pEnd)
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{
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Point_2 p;
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Vector_2 v;
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p = (*pBegin);
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v = (*vBegin);
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m_D_Ttr.insert(p);
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field_map[p] = v;
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if (m_D_Ttr.number_of_vertices() == 1)
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{
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maxx = minx = p.x();
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maxy = miny = p.y();
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}
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if(p.x()<minx)
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{
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minx = p.x();
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}
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if(p.y()<miny)
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{
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miny = p.y();
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}
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if(p.x()>maxx)
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{
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maxx = p.x();
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}
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if(p.y()>maxy)
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{
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maxy = p.y();
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}
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++pBegin;
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++vBegin;
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}
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std::cout << "number of samples " << m_D_Ttr.number_of_vertices() << "\n";
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}
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public:
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template <class PointInputIterator, class VectorInputIterator>
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Triangular_field_2(PointInputIterator pBegin, PointInputIterator
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pEnd, VectorInputIterator vBegin)
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{
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fill(pBegin, pEnd, vBegin);
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}
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inline typename Geom_traits::Iso_rectangle_2 bbox() const;
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std::pair<Vector_2,FT> get_field(const Point_2 & p) const
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{
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CGAL_assertion(is_in_domain(p));
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Vector_2 v = get_vector_field(p);
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FT density = get_density_field(p);
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return std::make_pair(v, density);
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}
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bool is_in_domain(const Point_2 & p) const;
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FT get_integration_step(const Point_2 &) const;
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FT get_integration_step() const;
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protected:
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FT minx;
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FT miny;
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FT maxx;
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FT maxy;
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protected:
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mutable std::map<Point_2, Vector_2> field_map;
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FT distance(const Point_2 & p, const Point_2 & q)
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{
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return sqrt( CGAL::squared_distance(p, q) );
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}
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};
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template <class StreamLinesTraits_2>
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inline
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typename Triangular_field_2<StreamLinesTraits_2>::Geom_traits::Iso_rectangle_2
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Triangular_field_2<StreamLinesTraits_2>::bbox() const
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{
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return typename Geom_traits::Iso_rectangle_2(minx, miny, maxx,
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maxy);
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}
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template <class StreamLinesTraits_2>
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bool
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Triangular_field_2<StreamLinesTraits_2>::is_in_domain(const Point_2 &
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p) const
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{
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Face_handle f = m_D_Ttr.locate(p);
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return !m_D_Ttr.is_infinite(f);
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}
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template <class StreamLinesTraits_2>
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typename Triangular_field_2<StreamLinesTraits_2>::Vector_2
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Triangular_field_2<StreamLinesTraits_2>::get_vector_field(const
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Point_2 & p)
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const
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{
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Face_handle m_Face_handle = m_D_Ttr.locate(p);
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CGAL_assertion(is_in_domain(p));
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Vertex_handle v0 = m_Face_handle->vertex(0);
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Vertex_handle v1 = m_Face_handle->vertex(1);
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Vertex_handle v2 = m_Face_handle->vertex(2);
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const Point_2 & p0 = v0->point();
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const Point_2 & p1 = v1->point();
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const Point_2 & p2 = v2->point();
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FT s0,s1,s2,s;
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std::vector<Point_2> vec;
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vec.push_back(p0); vec.push_back(p1); vec.push_back(p2);
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s = polygon_area_2(vec.begin(), vec.end(), m_D_Ttr.geom_traits());
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vec.clear();
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vec.push_back(p); vec.push_back(p1); vec.push_back(p2);
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s0 = polygon_area_2(vec.begin(), vec.end(), m_D_Ttr.geom_traits());
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vec.clear();
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vec.push_back(p0); vec.push_back(p); vec.push_back(p2);
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s1 = polygon_area_2(vec.begin(), vec.end(), m_D_Ttr.geom_traits());
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vec.clear();
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vec.push_back(p0); vec.push_back(p1); vec.push_back(p);
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s2 = polygon_area_2(vec.begin(), vec.end(), m_D_Ttr.geom_traits());
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vec.clear();
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s0 = s0 / s; s1 = s1 / s; s2 = s2 / s;
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Vector_2 v_0 = field_map[p0];
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Vector_2 v_1 = field_map[p1];
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Vector_2 v_2 = field_map[p2];
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FT x = ((v_0.x()*s0)+(v_1.x()*s1)+(v_2.x()*s2));
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FT y = ((v_0.y()*s0)+(v_1.y()*s1)+(v_2.y()*s2));
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FT normal = sqrt((x)*(x) + (y)*(y));
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if (normal != 0)
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{
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x = x / normal;
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y = y / normal;
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}
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Vector_2 v = Vector_2(x, y);
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return v;
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}
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template <class StreamLinesTraits_2>
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typename Triangular_field_2<StreamLinesTraits_2>::FT
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Triangular_field_2<StreamLinesTraits_2>::get_density_field(const
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Point_2 &
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p) const
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{
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return p.x();
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}
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template<class StreamLinesTraits_2>
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typename Triangular_field_2<StreamLinesTraits_2>::FT
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Triangular_field_2<StreamLinesTraits_2>::get_integration_step(const
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Point_2
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&) const
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{
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return 1.0;
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}
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template<class StreamLinesTraits_2>
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typename Triangular_field_2<StreamLinesTraits_2>::FT
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Triangular_field_2<StreamLinesTraits_2>::get_integration_step() const
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{
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return 1.0;
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}
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} //namespace CGAL
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#endif
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