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// Copyright (c) 2003 INRIA Sophia-Antipolis (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Interpolation/include/CGAL/Interpolation_gradient_fitting_traits_2.h $ // $Id: include/CGAL/Interpolation_gradient_fitting_traits_2.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Julia Floetotto #ifndef CGAL_INTERPOLATION_GRADIENT_FITTING_TRAITS_2_H #define CGAL_INTERPOLATION_GRADIENT_FITTING_TRAITS_2_H #include #include namespace CGAL { //-----------------------------------------------------------------------// // Interpolation_gradient_fitting_traits_2 //-----------------------------------------------------------------------// // The class meets the requirement of the concept InterpolationTraits2 // and GradientFittingTraits2: it defines the geometric // operations used by the interpolation methods and the gradient // fitting function. template class Construct_sum_matrix_2 { public: typedef Aff_2 Aff_transformation_2; Aff_transformation_2 operator()(const Aff_transformation_2& tr1, const Aff_transformation_2& tr2) const { return Aff_transformation_2(tr1.m(0,0) + tr2.m(0,0), tr1.m(0,1) + tr2.m(0,1), tr1.m(0,2) + tr2.m(0,2), tr1.m(1,0) + tr2.m(1,0), tr1.m(1,1) + tr2.m(1,1), tr1.m(1,2) + tr2.m(1,2)); } }; template class Construct_null_matrix_2 { public: typedef Aff_2 Aff_transformation_2; Aff_transformation_2 operator()() const { return Aff_transformation_2(0,0,0,0,0,0); } }; template class Construct_scaling_matrix_2 { public: typedef Aff_2 Aff_transformation_2; Aff_transformation_2 operator()(const typename Aff_transformation_2::R::FT & scale) const { return Aff_transformation_2(SCALING, scale); } }; template < class R > class Construct_outer_product_2 { public: typedef typename R::Aff_transformation_2 Aff_transformation_2; typedef typename R::Vector_2 Vector_2; Aff_transformation_2 operator()(const Vector_2& v) const { return Aff_transformation_2(v.x()*v.x(), v.x()*v.y(), v.x()*v.y(), v.y()*v.y()); } }; template class Interpolation_gradient_fitting_traits_2 { public: typedef R Rep; typedef typename Rep::FT FT; typedef typename Rep::Point_2 Point_d; typedef typename Rep::Weighted_point_2 Weighted_point_d; typedef typename Rep::Vector_2 Vector_d; typedef typename Rep::Construct_point_2 Construct_point_d; typedef typename Rep::Construct_vector_2 Construct_vector_d; typedef typename Rep::Construct_scaled_vector_2 Construct_scaled_vector_d; //only one not needed by gradient fitting: typedef typename Rep::Compute_squared_distance_2 Compute_squared_distance_d; //additional types for gradient computation: typedef typename Rep::Aff_transformation_2 Aff_transformation_d; typedef Construct_null_matrix_2 Construct_null_matrix_d; typedef Construct_scaling_matrix_2 Construct_scaling_matrix_d; typedef Construct_sum_matrix_2 Construct_sum_matrix_d; typedef Construct_outer_product_2 Construct_outer_product_d; Construct_outer_product_d construct_outer_product_d_object() const {return Construct_outer_product_d();} Construct_sum_matrix_d construct_sum_matrix_d_object() const {return Construct_sum_matrix_d();} Construct_scaling_matrix_d construct_scaling_matrix_d_object() const {return Construct_scaling_matrix_d();} Construct_null_matrix_d construct_null_matrix_d_object() const {return Construct_null_matrix_d();} //also in the traits without gradient computation: Construct_scaled_vector_d construct_scaled_vector_d_object()const {return Construct_scaled_vector_d();} Construct_point_d construct_point_d_object()const {return Construct_point_d();} Construct_vector_d construct_vector_d_object()const {return Construct_vector_d();} Compute_squared_distance_d compute_squared_distance_d_object()const {return Compute_squared_distance_d();} }; } //namespace CGAL #endif // CGAL_INTERPOLATION_GRADIENT_FITTING_TRAITS_2_H