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// Copyright (c) 2000,2001 // Utrecht University (The Netherlands), // ETH Zurich (Switzerland), // INRIA Sophia-Antipolis (France), // Max-Planck-Institute Saarbruecken (Germany), // and Tel-Aviv University (Israel). All rights reserved. // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Kernel_d/include/CGAL/Kernel_d/Tuple_d.h $ // $Id: include/CGAL/Kernel_d/Tuple_d.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Michael Seel #ifndef CGAL_TUPLE_D_H #define CGAL_TUPLE_D_H #include #include #include #include #include namespace CGAL { #define PointCd PointCd2 #define PointHd PointHd2 template class PointHd; template class VectorHd; template class DirectionHd; template class HyperplaneHd; template class Aff_transformationHd; template class PointCd; template class VectorCd; template class DirectionCd; template class HyperplaneCd; template class Aff_transformationCd; class MatchHelper {}; template class Tuple_d { typedef Tuple_d Self; typedef typename LA::Vector Vector; Vector v; public: typedef typename Vector::const_iterator const_iterator; typedef Cartesian_const_iterator_d Cartesian_const_iterator; struct Homogeneous_const_iterator { typedef Homogeneous_const_iterator self; typedef std::random_access_iterator_tag iterator_category; typedef NT value_type; typedef std::ptrdiff_t difference_type; typedef const value_type* pointer; typedef const value_type& reference; Homogeneous_const_iterator() : _it(0), _w(0) {} Homogeneous_const_iterator(const_iterator it, const_iterator w = 0) : _it(it), _w(w) {} value_type operator*() const { if (_it == _w) return value_type(1); else return *_it; } self& operator++() { ++_it; return *this; } self operator++(int) { self tmp = *this; ++_it; return tmp; } self& operator--() { --_it; return *this; } self operator--(int) { self tmp = *this; --_it; return tmp; } self& operator+=(difference_type i) { _it+=i; return *this; } self& operator-=(difference_type i) { _it-=i; return *this; } self operator+(difference_type i) const { self tmp=*this; return tmp += i; } self operator-(difference_type i) const { self tmp=*this; return tmp -= i; } difference_type operator-(self x) const { return _it-x._it; } value_type operator[](difference_type i) const { return *(*this + i); } bool operator==(const self& x) const { return _it==x._it; } bool operator!=(const self& x) const { return ! (*this==x); } bool operator<(self x) const { return (x - *this) > 0; } private: const_iterator _it, _w; }; // Homogeneous_const_iterator Tuple_d(int d) : v(d) {} Tuple_d(const NT& a, const NT& b) : v(2) { v[0]=a; v[1]=b; } Tuple_d(const NT& a, const NT& b, const NT& c, const MatchHelper&) : v(3) { v[0]=a; v[1]=b; v[2]=c; } Tuple_d(const NT& a, const NT& b, const NT& c, const NT& d) : v(4) { v[0]=a; v[1]=b; v[2]=c; v[3]=d; } template Tuple_d(int d, I& start, I end) : v(d) { int i(0); while ( i < d && start != end ) v[i++] = *start++; } /* this constructor returns the final position of start to offer access to a possible common denominator as part of the tuple range */ template Tuple_d(int d, I start, I end, NT D) : v(d) { int i(0); while ( i < d && start != end ) v[i++] = *start++; v[d-1] = D; } int size() const { return v.dimension(); } const_iterator begin() const { return v.begin(); } const_iterator last() const { return v.end()-1; } const_iterator end() const { return v.end(); } const_iterator beyondend() const { return v.end()+1; } void invert() { for (int i=0; isize()-1; if ( d < 0 ) return; CGAL_assertion_msg((d == b->size()-1),"dimensions disagree."); CGAL_assertion_msg((d == size()-1),"dimensions disagree."); NT aw = a->v[d], bw = b->v[d]; for (int i = 0; i < d; ++i) { v[i] = a->v[i]*bw + b->v[i]*aw; } v[d] = aw*bw; } void homogeneous_sub(const Self* a, const Self* b) { int d = a->size()-1; if ( d < 0 ) return; CGAL_assertion_msg((d == b->size()-1),"dimensions disagree."); CGAL_assertion_msg((d == size()-1),"dimensions disagree."); NT aw = a->v[d], bw = b->v[d]; for (int i = 0; i < d; ++i) { v[i] = a->v[i]*bw - b->v[i]*aw; } v[d] = aw*bw; } void cartesian_add(const Self* a, const Self* b) { v = a->v + b->v; } void cartesian_sub(const Self* a, const Self* b) { v = a->v - b->v; } friend class PointHd; friend class VectorHd; friend class DirectionHd; friend class HyperplaneHd; friend class PointCd; friend class VectorCd; friend class DirectionCd; friend class HyperplaneCd; }; // Tuple_d template class Compare_homogeneously { public: Comparison_result operator()( const typename LA::Vector& v1, const typename LA::Vector& v2) { CGAL_assertion_msg((v1.dimension() == v2.dimension()), "Compare_homogeneously: dimensions disagree."); NT aw = v1[v1.dimension()-1]; NT bw = v2[v2.dimension()-1]; CGAL_assertion(aw>0 && bw>0); for (int i = 0; i < v1.dimension()-1; i++ ) { NT aibw = v1[i]*bw; NT biaw = v2[i]*aw; Comparison_result S = (aibw class Compare_componentwise { public: Comparison_result operator()( const typename LA::Vector& v1, const typename LA::Vector& v2) { CGAL_assertion_msg((v1.dimension() == v2.dimension()), "Compare_coefficientwise: dimensions disagree."); for (int i = 0; i < v1.dimension(); i++ ) { Comparison_result S = (v1[i] void Tuple_d::print(std::ostream& os, const char* l) const { int i; switch( IO::get_mode(os) ) { case CGAL::IO::ASCII : os << size() << " "; for (i = 0; i < size(); ++i) os << v[i] << " "; break; case CGAL::IO::BINARY : CGAL::write(os, size()); for (i = 0; i < size(); ++i) CGAL::write(os, v[i]); break; default : os << l << "(" << size() << ", "; for (i = 0; i < size(); ++i) { os << v[i]; if (i!=size()-1) os<<", "; else os<<")"; } } } template void Tuple_d::read(std::istream& is) { int i = 0, d; switch( IO::get_mode(is) ) { case CGAL::IO::ASCII : is >> d; v = Vector(d); while (i < d && is >> v[i] ) ++i; break; case CGAL::IO::BINARY : CGAL::read(is, d); v = Vector(d); while (i < d) { CGAL::read(is, v[i]); ++i; } break; default: CGAL_error_msg("\nStream must be in ASCII or binary mode\n"); } } template void tuple_dim_check(ForwardIterator first, ForwardIterator last, const char* file, int line, const char* op) { if (first==last) return; int d = first->dimension(); ++first; for (; first!=last; ++first) if (first->dimension() != d) { std::ostringstream os; os << "Tuple Dimension Error " << "File " << file << "Line " << line << "Operation " << op << '\0'; CGAL_error_msg(os.str().c_str()); } } #define TUPLE_DIM_CHECK(i1,i2,op) tuple_dim_check(i1,i2,__FILE__,__LINE__,#op) template int copy_and_count(InputIterator first, InputIterator last, OutputIterator result) { int n=0; while (first != last) { ++n; *result++ = *first++; } return n; } #undef PointCd #undef PointHd } //namespace CGAL #endif //CGAL_TUPLE_D_H