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Diffstat (limited to 'include/gudhi_patches/CGAL/NewKernel_d/Types/Weighted_point.h')
| -rw-r--r-- | include/gudhi_patches/CGAL/NewKernel_d/Types/Weighted_point.h | 205 |
1 files changed, 205 insertions, 0 deletions
diff --git a/include/gudhi_patches/CGAL/NewKernel_d/Types/Weighted_point.h b/include/gudhi_patches/CGAL/NewKernel_d/Types/Weighted_point.h new file mode 100644 index 00000000..1caf8701 --- /dev/null +++ b/include/gudhi_patches/CGAL/NewKernel_d/Types/Weighted_point.h @@ -0,0 +1,205 @@ +// Copyright (c) 2014 +// INRIA Saclay-Ile de France (France) +// +// This file is part of CGAL (www.cgal.org); 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. +// +// Licensees holding a valid commercial license may use this file in +// accordance with the commercial license agreement provided with the software. +// +// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE +// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. +// +// $URL$ +// $Id$ +// +// Author(s) : Marc Glisse + +#ifndef CGAL_KD_TYPE_WP_H +#define CGAL_KD_TYPE_WP_H +#include <CGAL/NewKernel_d/store_kernel.h> +#include <boost/iterator/counting_iterator.hpp> +namespace CGAL { +namespace KerD { +template <class R_> class Weighted_point { + typedef typename Get_type<R_, FT_tag>::type FT_; + typedef typename Get_type<R_, Point_tag>::type Point_; + Point_ c_; + FT_ w_; + + public: + Weighted_point(Point_ const&p, FT_ const&w): c_(p), w_(w) {} + // TODO: Add a piecewise constructor? + + Point_ const& point()const{return c_;} + FT_ const& weight()const{return w_;} +}; +} + +namespace CartesianDKernelFunctors { +template <class R_> struct Construct_weighted_point : Store_kernel<R_> { + CGAL_FUNCTOR_INIT_STORE(Construct_weighted_point) + typedef typename Get_type<R_, Weighted_point_tag>::type result_type; + typedef typename Get_type<R_, Point_tag>::type Point; + typedef typename Get_type<R_, FT_tag>::type FT; + result_type operator()(Point const&a, FT const&b)const{ + return result_type(a,b); + } + // Not really needed + result_type operator()()const{ + typename Get_functor<R_, Construct_ttag<Point_tag> >::type cp(this->kernel()); + return result_type(cp(),0); + } +}; + +template <class R_> struct Point_drop_weight { + CGAL_FUNCTOR_INIT_IGNORE(Point_drop_weight) + typedef typename Get_type<R_, Weighted_point_tag>::type argument_type; + typedef typename Get_type<R_, Point_tag>::type const& result_type; + // Returning a reference is fragile + + result_type operator()(argument_type const&s)const{ + return s.point(); + } +}; + +template <class R_> struct Point_weight { + CGAL_FUNCTOR_INIT_IGNORE(Point_weight) + typedef typename Get_type<R_, Weighted_point_tag>::type argument_type; + typedef typename Get_type<R_, FT_tag>::type result_type; + + result_type operator()(argument_type const&s)const{ + return s.weight(); + } +}; + +template <class R_> struct Power_distance : private Store_kernel<R_> { + CGAL_FUNCTOR_INIT_STORE(Power_distance) + typedef typename Get_type<R_, Weighted_point_tag>::type first_argument_type; + typedef first_argument_type second_argument_type; + typedef typename Get_type<R_, FT_tag>::type result_type; + + result_type operator()(first_argument_type const&a, second_argument_type const&b)const{ + typename Get_functor<R_, Point_drop_weight_tag>::type pdw(this->kernel()); + typename Get_functor<R_, Point_weight_tag>::type pw(this->kernel()); + typename Get_functor<R_, Squared_distance_tag>::type sd(this->kernel()); + return sd(pdw(a),pdw(b))-pw(a)-pw(b); + } +}; +template <class R_> struct Power_distance_to_point : private Store_kernel<R_> { + CGAL_FUNCTOR_INIT_STORE(Power_distance_to_point) + typedef typename Get_type<R_, Weighted_point_tag>::type first_argument_type; + typedef typename Get_type<R_, Point_tag>::type second_argument_type; + typedef typename Get_type<R_, FT_tag>::type result_type; + + result_type operator()(first_argument_type const&a, second_argument_type const&b)const{ + typename Get_functor<R_, Point_drop_weight_tag>::type pdw(this->kernel()); + typename Get_functor<R_, Point_weight_tag>::type pw(this->kernel()); + typename Get_functor<R_, Squared_distance_tag>::type sd(this->kernel()); + return sd(pdw(a),b)-pw(a); + } +}; + +template<class R_> struct Power_side_of_power_sphere : private Store_kernel<R_> { + CGAL_FUNCTOR_INIT_STORE(Power_side_of_power_sphere) + typedef R_ R; + typedef typename Get_type<R, Oriented_side_tag>::type result_type; + + template<class Iter, class Pt> + result_type operator()(Iter const& f, Iter const& e, Pt const& p0) const { + typename Get_functor<R, Power_side_of_power_sphere_raw_tag>::type ptr(this->kernel()); + typename Get_functor<R, Point_drop_weight_tag>::type pdw(this->kernel()); + typename Get_functor<R, Point_weight_tag>::type pw(this->kernel()); + return ptr ( + make_transforming_iterator (f, pdw), + make_transforming_iterator (e, pdw), + make_transforming_iterator (f, pw), + pdw (p0), + pw (p0)); + } +}; + +template<class R_> struct In_flat_power_side_of_power_sphere : private Store_kernel<R_> { + CGAL_FUNCTOR_INIT_STORE(In_flat_power_side_of_power_sphere) + typedef R_ R; + typedef typename Get_type<R, Oriented_side_tag>::type result_type; + + template<class Fo, class Iter, class Pt> + result_type operator()(Fo const& fo, Iter const& f, Iter const& e, Pt const& p0) const { + typename Get_functor<R, In_flat_power_side_of_power_sphere_raw_tag>::type ptr(this->kernel()); + typename Get_functor<R, Point_drop_weight_tag>::type pdw(this->kernel()); + typename Get_functor<R, Point_weight_tag>::type pw(this->kernel()); + return ptr ( + fo, + make_transforming_iterator (f, pdw), + make_transforming_iterator (e, pdw), + make_transforming_iterator (f, pw), + pdw (p0), + pw (p0)); + } +}; + +// Construct a point at (weighted) distance 0 from all the input +template <class R_> struct Power_center : Store_kernel<R_> { + CGAL_FUNCTOR_INIT_STORE(Power_center) + typedef typename Get_type<R_, Weighted_point_tag>::type WPoint; + typedef WPoint result_type; + typedef typename Get_type<R_, Point_tag>::type Point; + typedef typename Get_type<R_, FT_tag>::type FT; + template <class Iter> + result_type operator()(Iter f, Iter e)const{ + // 2*(x-y).c == (x^2-wx^2)-(y^2-wy^2) + typedef typename R_::LA LA; + typedef typename LA::Square_matrix Matrix; + typedef typename LA::Vector Vec; + typedef typename LA::Construct_vector CVec; + typename Get_functor<R_, Compute_point_cartesian_coordinate_tag>::type c(this->kernel()); + typename Get_functor<R_, Construct_ttag<Point_tag> >::type cp(this->kernel()); + typename Get_functor<R_, Point_dimension_tag>::type pd(this->kernel()); + typename Get_functor<R_, Squared_distance_to_origin_tag>::type sdo(this->kernel()); + typename Get_functor<R_, Power_distance_to_point_tag>::type pdp(this->kernel()); + typename Get_functor<R_, Point_drop_weight_tag>::type pdw(this->kernel()); + typename Get_functor<R_, Point_weight_tag>::type pw(this->kernel()); + typename Get_functor<R_, Construct_ttag<Weighted_point_tag> >::type cwp(this->kernel()); + + WPoint const& wp0 = *f; + Point const& p0 = pdw(wp0); + int d = pd(p0); + FT const& n0 = sdo(p0) - pw(wp0); + Matrix m(d,d); + Vec b = typename CVec::Dimension()(d); + // Write the point coordinates in lines. + int i; + for(i=0; ++f!=e; ++i) { + WPoint const& wp=*f; + Point const& p=pdw(wp); + FT const& np = sdo(p) - pw(wp); + for(int j=0;j<d;++j) { + m(i,j)=2*(c(p,j)-c(p0,j)); + b[i] = np - n0; + } + } + CGAL_assertion (i == d); + Vec res = typename CVec::Dimension()(d);; + //std::cout << "Mat: " << m << "\n Vec: " << one << std::endl; + LA::solve(res, CGAL_MOVE(m), CGAL_MOVE(b)); + //std::cout << "Sol: " << res << std::endl; + Point center = cp(d,LA::vector_begin(res),LA::vector_end(res)); + FT const& r2 = pdp (wp0, center); + return cwp(CGAL_MOVE(center), r2); + } +}; +} +CGAL_KD_DEFAULT_TYPE(Weighted_point_tag,(CGAL::KerD::Weighted_point<K>),(Point_tag),()); +CGAL_KD_DEFAULT_FUNCTOR(Construct_ttag<Weighted_point_tag>,(CartesianDKernelFunctors::Construct_weighted_point<K>),(Weighted_point_tag,Point_tag),()); +CGAL_KD_DEFAULT_FUNCTOR(Point_drop_weight_tag,(CartesianDKernelFunctors::Point_drop_weight<K>),(Weighted_point_tag,Point_tag),()); +CGAL_KD_DEFAULT_FUNCTOR(Point_weight_tag,(CartesianDKernelFunctors::Point_weight<K>),(Weighted_point_tag,Point_tag),()); +CGAL_KD_DEFAULT_FUNCTOR(Power_side_of_power_sphere_tag,(CartesianDKernelFunctors::Power_side_of_power_sphere<K>),(Weighted_point_tag),(Power_side_of_power_sphere_raw_tag,Point_drop_weight_tag,Point_weight_tag)); +CGAL_KD_DEFAULT_FUNCTOR(In_flat_power_side_of_power_sphere_tag,(CartesianDKernelFunctors::In_flat_power_side_of_power_sphere<K>),(Weighted_point_tag),(In_flat_power_side_of_power_sphere_raw_tag,Point_drop_weight_tag,Point_weight_tag)); +CGAL_KD_DEFAULT_FUNCTOR(Power_distance_tag,(CartesianDKernelFunctors::Power_distance<K>),(Weighted_point_tag,Point_tag),(Squared_distance_tag,Point_drop_weight_tag,Point_weight_tag)); +CGAL_KD_DEFAULT_FUNCTOR(Power_distance_to_point_tag,(CartesianDKernelFunctors::Power_distance_to_point<K>),(Weighted_point_tag,Point_tag),(Squared_distance_tag,Point_drop_weight_tag,Point_weight_tag)); +CGAL_KD_DEFAULT_FUNCTOR(Power_center_tag,(CartesianDKernelFunctors::Power_center<K>),(Weighted_point_tag,Point_tag),(Compute_point_cartesian_coordinate_tag,Construct_ttag<Point_tag>,Construct_ttag<Weighted_point_tag>,Point_dimension_tag,Squared_distance_to_origin_tag,Point_drop_weight_tag,Point_weight_tag,Power_distance_to_point_tag)); +} // namespace CGAL +#endif |