[906] | 1 | /* -*- C++ -*- |
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[1435] | 2 | * lemon/xy.h - Part of LEMON, a generic C++ optimization library |
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[906] | 3 | * |
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[1164] | 4 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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[1359] | 5 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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[906] | 6 | * |
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| 7 | * Permission to use, modify and distribute this software is granted |
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| 8 | * provided that this copyright notice appears in all copies. For |
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| 9 | * precise terms see the accompanying LICENSE file. |
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| 10 | * |
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| 11 | * This software is provided "AS IS" with no warranty of any kind, |
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| 12 | * express or implied, and with no claim as to its suitability for any |
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| 13 | * purpose. |
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| 14 | * |
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| 15 | */ |
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| 16 | |
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[921] | 17 | #ifndef LEMON_XY_H |
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| 18 | #define LEMON_XY_H |
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[201] | 19 | |
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| 20 | #include <iostream> |
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[1420] | 21 | #include <lemon/utility.h> |
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[201] | 22 | |
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[491] | 23 | ///\ingroup misc |
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[249] | 24 | ///\file |
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| 25 | ///\brief A simple two dimensional vector and a bounding box implementation |
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| 26 | /// |
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[921] | 27 | /// The class \ref lemon::xy "xy" implements |
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[249] | 28 | ///a two dimensional vector with the usual |
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| 29 | /// operations. |
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| 30 | /// |
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[921] | 31 | /// The class \ref lemon::BoundingBox "BoundingBox" can be used to determine |
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[1426] | 32 | /// the rectangular bounding box of a set of \ref lemon::xy "xy"'s. |
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[458] | 33 | /// |
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| 34 | ///\author Attila Bernath |
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[249] | 35 | |
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| 36 | |
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[921] | 37 | namespace lemon { |
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[431] | 38 | |
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| 39 | /// \addtogroup misc |
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| 40 | /// @{ |
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| 41 | |
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[1257] | 42 | /// A simple two dimensional vector (plainvector) implementation |
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[242] | 43 | |
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[1257] | 44 | /// A simple two dimensional vector (plainvector) implementation |
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[458] | 45 | ///with the usual vector |
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| 46 | /// operators. |
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| 47 | /// |
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| 48 | ///\author Attila Bernath |
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[207] | 49 | template<typename T> |
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| 50 | class xy { |
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[201] | 51 | |
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[207] | 52 | public: |
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[240] | 53 | |
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[987] | 54 | typedef T Value; |
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[964] | 55 | |
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[240] | 56 | T x,y; |
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[207] | 57 | |
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[1257] | 58 | ///Default constructor |
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| 59 | xy() {} |
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[201] | 60 | |
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[240] | 61 | ///Constructing the instance from coordinates |
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[514] | 62 | xy(T a, T b) : x(a), y(b) { } |
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[201] | 63 | |
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| 64 | |
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[1049] | 65 | ///Conversion constructor |
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| 66 | template<class TT> xy(const xy<TT> &p) : x(p.x), y(p.y) {} |
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| 67 | |
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[207] | 68 | ///Gives back the square of the norm of the vector |
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[1257] | 69 | T normSquare() const { |
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[1426] | 70 | return x*x+y*y; |
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[1391] | 71 | } |
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[201] | 72 | |
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[207] | 73 | ///Increments the left hand side by u |
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[1257] | 74 | xy<T>& operator +=(const xy<T>& u) { |
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[1426] | 75 | x += u.x; |
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| 76 | y += u.y; |
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| 77 | return *this; |
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[1391] | 78 | } |
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[201] | 79 | |
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[207] | 80 | ///Decrements the left hand side by u |
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[1257] | 81 | xy<T>& operator -=(const xy<T>& u) { |
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[1426] | 82 | x -= u.x; |
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| 83 | y -= u.y; |
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| 84 | return *this; |
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[1391] | 85 | } |
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[201] | 86 | |
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[207] | 87 | ///Multiplying the left hand side with a scalar |
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[1257] | 88 | xy<T>& operator *=(const T &u) { |
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[1426] | 89 | x *= u; |
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| 90 | y *= u; |
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| 91 | return *this; |
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[1391] | 92 | } |
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[207] | 93 | |
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| 94 | ///Dividing the left hand side by a scalar |
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[1257] | 95 | xy<T>& operator /=(const T &u) { |
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[1426] | 96 | x /= u; |
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| 97 | y /= u; |
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| 98 | return *this; |
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[1391] | 99 | } |
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[201] | 100 | |
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[207] | 101 | ///Returns the scalar product of two vectors |
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[1257] | 102 | T operator *(const xy<T>& u) const { |
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[1426] | 103 | return x*u.x+y*u.y; |
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[1391] | 104 | } |
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[201] | 105 | |
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[207] | 106 | ///Returns the sum of two vectors |
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| 107 | xy<T> operator+(const xy<T> &u) const { |
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[1426] | 108 | xy<T> b=*this; |
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| 109 | return b+=u; |
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[1391] | 110 | } |
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[201] | 111 | |
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[1049] | 112 | ///Returns the neg of the vectors |
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| 113 | xy<T> operator-() const { |
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[1426] | 114 | xy<T> b=*this; |
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| 115 | b.x=-b.x; b.y=-b.y; |
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| 116 | return b; |
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[1391] | 117 | } |
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[1049] | 118 | |
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[207] | 119 | ///Returns the difference of two vectors |
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| 120 | xy<T> operator-(const xy<T> &u) const { |
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[1426] | 121 | xy<T> b=*this; |
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| 122 | return b-=u; |
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[1391] | 123 | } |
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[201] | 124 | |
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[207] | 125 | ///Returns a vector multiplied by a scalar |
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| 126 | xy<T> operator*(const T &u) const { |
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[1426] | 127 | xy<T> b=*this; |
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| 128 | return b*=u; |
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[1391] | 129 | } |
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[201] | 130 | |
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[207] | 131 | ///Returns a vector divided by a scalar |
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| 132 | xy<T> operator/(const T &u) const { |
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[1426] | 133 | xy<T> b=*this; |
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| 134 | return b/=u; |
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[1391] | 135 | } |
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[201] | 136 | |
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[207] | 137 | ///Testing equality |
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[1257] | 138 | bool operator==(const xy<T> &u) const { |
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[1426] | 139 | return (x==u.x) && (y==u.y); |
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[1391] | 140 | } |
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[201] | 141 | |
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[207] | 142 | ///Testing inequality |
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[1257] | 143 | bool operator!=(xy u) const { |
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[1426] | 144 | return (x!=u.x) || (y!=u.y); |
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[1391] | 145 | } |
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[201] | 146 | |
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[207] | 147 | }; |
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[201] | 148 | |
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[1071] | 149 | ///Returns a vector multiplied by a scalar |
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[1083] | 150 | |
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| 151 | ///Returns a vector multiplied by a scalar |
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| 152 | ///\relates xy |
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[1071] | 153 | template<typename T> xy<T> operator*(const T &u,const xy<T> &x) { |
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| 154 | return x*u; |
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[1391] | 155 | } |
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[1071] | 156 | |
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[814] | 157 | ///Read a plainvector from a stream |
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| 158 | |
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[967] | 159 | ///Read a plainvector from a stream |
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[814] | 160 | ///\relates xy |
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| 161 | /// |
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[207] | 162 | template<typename T> |
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[1392] | 163 | inline std::istream& operator>>(std::istream &is, xy<T> &z) { |
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| 164 | char c; |
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| 165 | if (is >> c) { |
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| 166 | if (c != '(') is.putback(c); |
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| 167 | } else { |
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| 168 | is.clear(); |
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| 169 | } |
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| 170 | if (!(is >> z.x)) return is; |
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| 171 | if (is >> c) { |
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| 172 | if (c != ',') is.putback(c); |
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| 173 | } else { |
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| 174 | is.clear(); |
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| 175 | } |
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| 176 | if (!(is >> z.y)) return is; |
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| 177 | if (is >> c) { |
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| 178 | if (c != ')') is.putback(c); |
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| 179 | } else { |
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| 180 | is.clear(); |
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| 181 | } |
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[207] | 182 | return is; |
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| 183 | } |
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[201] | 184 | |
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[814] | 185 | ///Write a plainvector to a stream |
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| 186 | |
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[967] | 187 | ///Write a plainvector to a stream |
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[814] | 188 | ///\relates xy |
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| 189 | /// |
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[207] | 190 | template<typename T> |
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[1392] | 191 | inline std::ostream& operator<<(std::ostream &os, const xy<T>& z) |
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[207] | 192 | { |
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[240] | 193 | os << "(" << z.x << ", " << z.y << ")"; |
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[207] | 194 | return os; |
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| 195 | } |
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| 196 | |
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[1202] | 197 | ///Rotate by 90 degrees |
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| 198 | |
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| 199 | ///Returns its parameter rotated by 90 degrees in positive direction. |
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| 200 | ///\relates xy |
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| 201 | /// |
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| 202 | template<typename T> |
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| 203 | inline xy<T> rot90(const xy<T> &z) |
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| 204 | { |
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| 205 | return xy<T>(-z.y,z.x); |
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| 206 | } |
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| 207 | |
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| 208 | ///Rotate by 270 degrees |
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| 209 | |
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| 210 | ///Returns its parameter rotated by 90 degrees in negative direction. |
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| 211 | ///\relates xy |
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| 212 | /// |
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| 213 | template<typename T> |
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| 214 | inline xy<T> rot270(const xy<T> &z) |
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| 215 | { |
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| 216 | return xy<T>(z.y,-z.x); |
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| 217 | } |
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| 218 | |
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| 219 | |
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[244] | 220 | |
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[458] | 221 | /// A class to calculate or store the bounding box of plainvectors. |
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| 222 | |
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| 223 | /// A class to calculate or store the bounding box of plainvectors. |
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| 224 | /// |
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| 225 | ///\author Attila Bernath |
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[244] | 226 | template<typename T> |
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| 227 | class BoundingBox { |
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| 228 | xy<T> bottom_left, top_right; |
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| 229 | bool _empty; |
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| 230 | public: |
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| 231 | |
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[1426] | 232 | ///Default constructor: creates an empty bounding box |
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[244] | 233 | BoundingBox() { _empty = true; } |
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| 234 | |
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| 235 | ///Constructing the instance from one point |
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| 236 | BoundingBox(xy<T> a) { bottom_left=top_right=a; _empty = false; } |
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| 237 | |
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[1426] | 238 | ///Were any points added? |
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[244] | 239 | bool empty() const { |
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[1426] | 240 | return _empty; |
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[244] | 241 | } |
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| 242 | |
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[1391] | 243 | ///Makes the BoundingBox empty |
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| 244 | void clear() { |
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[1426] | 245 | _empty=1; |
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[1391] | 246 | } |
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| 247 | |
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[244] | 248 | ///Gives back the bottom left corner (if the bounding box is empty, then the return value is not defined) |
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| 249 | xy<T> bottomLeft() const { |
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[1426] | 250 | return bottom_left; |
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[1391] | 251 | } |
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[244] | 252 | |
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| 253 | ///Gives back the top right corner (if the bounding box is empty, then the return value is not defined) |
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| 254 | xy<T> topRight() const { |
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[1426] | 255 | return top_right; |
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[1391] | 256 | } |
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[244] | 257 | |
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[1045] | 258 | ///Gives back the bottom right corner (if the bounding box is empty, then the return value is not defined) |
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| 259 | xy<T> bottomRight() const { |
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[1426] | 260 | return xy<T>(top_right.x,bottom_left.y); |
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[1391] | 261 | } |
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[1045] | 262 | |
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| 263 | ///Gives back the top left corner (if the bounding box is empty, then the return value is not defined) |
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| 264 | xy<T> topLeft() const { |
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[1426] | 265 | return xy<T>(bottom_left.x,top_right.y); |
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[1391] | 266 | } |
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[1045] | 267 | |
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| 268 | ///Gives back the bottom of the box (if the bounding box is empty, then the return value is not defined) |
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| 269 | T bottom() const { |
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[1426] | 270 | return bottom_left.y; |
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[1391] | 271 | } |
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[1045] | 272 | |
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| 273 | ///Gives back the top of the box (if the bounding box is empty, then the return value is not defined) |
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| 274 | T top() const { |
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[1426] | 275 | return top_right.y; |
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[1391] | 276 | } |
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[1045] | 277 | |
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| 278 | ///Gives back the left side of the box (if the bounding box is empty, then the return value is not defined) |
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| 279 | T left() const { |
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[1426] | 280 | return bottom_left.x; |
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[1391] | 281 | } |
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[1045] | 282 | |
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| 283 | ///Gives back the right side of the box (if the bounding box is empty, then the return value is not defined) |
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| 284 | T right() const { |
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[1426] | 285 | return top_right.x; |
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[1391] | 286 | } |
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[1045] | 287 | |
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[1102] | 288 | ///Gives back the height of the box (if the bounding box is empty, then the return value is not defined) |
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| 289 | T height() const { |
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[1426] | 290 | return top_right.y-bottom_left.y; |
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[1391] | 291 | } |
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[1102] | 292 | |
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| 293 | ///Gives back the width of the box (if the bounding box is empty, then the return value is not defined) |
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| 294 | T width() const { |
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[1426] | 295 | return top_right.x-bottom_left.x; |
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[1391] | 296 | } |
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[1102] | 297 | |
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[244] | 298 | ///Checks whether a point is inside a bounding box |
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| 299 | bool inside(const xy<T>& u){ |
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[1426] | 300 | if (_empty) |
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| 301 | return false; |
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| 302 | else{ |
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| 303 | return ((u.x-bottom_left.x)*(top_right.x-u.x) >= 0 && |
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| 304 | (u.y-bottom_left.y)*(top_right.y-u.y) >= 0 ); |
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| 305 | } |
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[244] | 306 | } |
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| 307 | |
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| 308 | ///Increments a bounding box with a point |
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[1588] | 309 | BoundingBox& add(const xy<T>& u){ |
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[1426] | 310 | if (_empty){ |
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| 311 | bottom_left=top_right=u; |
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| 312 | _empty = false; |
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| 313 | } |
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| 314 | else{ |
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| 315 | if (bottom_left.x > u.x) bottom_left.x = u.x; |
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| 316 | if (bottom_left.y > u.y) bottom_left.y = u.y; |
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| 317 | if (top_right.x < u.x) top_right.x = u.x; |
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| 318 | if (top_right.y < u.y) top_right.y = u.y; |
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| 319 | } |
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| 320 | return *this; |
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[1391] | 321 | } |
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[244] | 322 | |
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[1588] | 323 | // ///Sums a bounding box and a point |
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| 324 | // BoundingBox operator +(const xy<T>& u){ |
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| 325 | // BoundingBox b = *this; |
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| 326 | // return b += u; |
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| 327 | // } |
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[244] | 328 | |
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| 329 | ///Increments a bounding box with an other bounding box |
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[1588] | 330 | BoundingBox& add(const BoundingBox &u){ |
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[1426] | 331 | if ( !u.empty() ){ |
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[1588] | 332 | this->add(u.bottomLeft()); |
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| 333 | this->add(u.topRight()); |
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[1426] | 334 | } |
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| 335 | return *this; |
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[1391] | 336 | } |
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[244] | 337 | |
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| 338 | ///Sums two bounding boxes |
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| 339 | BoundingBox operator +(const BoundingBox& u){ |
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[1426] | 340 | BoundingBox b = *this; |
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[1588] | 341 | return b.add(u); |
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| 342 | } |
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| 343 | |
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| 344 | |
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| 345 | ///Intersection of two bounding boxes |
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| 346 | BoundingBox operator &(const BoundingBox& u){ |
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| 347 | BoundingBox b; |
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| 348 | b.bottom_left.x=std::max(this->bottom_left.x,u.bottom_left.x); |
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| 349 | b.bottom_left.y=std::max(this->bottom_left.y,u.bottom_left.y); |
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| 350 | b.top_right.x=std::min(this->top_right.x,u.top_right.x); |
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| 351 | b.top_right.y=std::min(this->top_right.y,u.top_right.y); |
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| 352 | b._empty = this->_empty || u._empty || |
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| 353 | b.bottom_left.x>top_right.x && b.bottom_left.y>top_right.y; |
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| 354 | return b; |
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[1391] | 355 | } |
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[244] | 356 | |
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| 357 | };//class Boundingbox |
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| 358 | |
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| 359 | |
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[1317] | 360 | ///Map of x-coordinates of an xy<>-map |
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| 361 | |
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| 362 | ///\ingroup maps |
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| 363 | /// |
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| 364 | template<class M> |
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| 365 | class XMap |
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| 366 | { |
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[1706] | 367 | M& _map; |
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[1317] | 368 | public: |
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[1420] | 369 | |
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[1317] | 370 | typedef typename M::Value::Value Value; |
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| 371 | typedef typename M::Key Key; |
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| 372 | ///\e |
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[1706] | 373 | XMap(M& map) : _map(map) {} |
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[1317] | 374 | Value operator[](Key k) const {return _map[k].x;} |
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[1352] | 375 | void set(Key k,Value v) {_map.set(k,typename M::Value(v,_map[k].y));} |
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[1317] | 376 | }; |
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| 377 | |
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| 378 | ///Returns an \ref XMap class |
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| 379 | |
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| 380 | ///This function just returns an \ref XMap class. |
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| 381 | /// |
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| 382 | ///\ingroup maps |
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| 383 | ///\relates XMap |
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| 384 | template<class M> |
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| 385 | inline XMap<M> xMap(M &m) |
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| 386 | { |
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| 387 | return XMap<M>(m); |
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| 388 | } |
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| 389 | |
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[1420] | 390 | template<class M> |
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| 391 | inline XMap<M> xMap(const M &m) |
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| 392 | { |
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| 393 | return XMap<M>(m); |
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| 394 | } |
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| 395 | |
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[1317] | 396 | ///Constant (read only) version of \ref XMap |
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| 397 | |
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| 398 | ///\ingroup maps |
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| 399 | /// |
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| 400 | template<class M> |
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| 401 | class ConstXMap |
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| 402 | { |
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[1706] | 403 | const M& _map; |
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[1317] | 404 | public: |
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[1420] | 405 | |
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[1317] | 406 | typedef typename M::Value::Value Value; |
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| 407 | typedef typename M::Key Key; |
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| 408 | ///\e |
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| 409 | ConstXMap(const M &map) : _map(map) {} |
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| 410 | Value operator[](Key k) const {return _map[k].x;} |
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| 411 | }; |
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| 412 | |
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| 413 | ///Returns a \ref ConstXMap class |
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| 414 | |
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| 415 | ///This function just returns an \ref ConstXMap class. |
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| 416 | /// |
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| 417 | ///\ingroup maps |
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| 418 | ///\relates ConstXMap |
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| 419 | template<class M> |
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| 420 | inline ConstXMap<M> xMap(const M &m) |
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| 421 | { |
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| 422 | return ConstXMap<M>(m); |
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| 423 | } |
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| 424 | |
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| 425 | ///Map of y-coordinates of an xy<>-map |
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| 426 | |
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| 427 | ///\ingroup maps |
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| 428 | /// |
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| 429 | template<class M> |
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| 430 | class YMap |
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| 431 | { |
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[1706] | 432 | M& _map; |
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[1317] | 433 | public: |
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[1420] | 434 | |
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[1317] | 435 | typedef typename M::Value::Value Value; |
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| 436 | typedef typename M::Key Key; |
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| 437 | ///\e |
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[1706] | 438 | YMap(M& map) : _map(map) {} |
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[1317] | 439 | Value operator[](Key k) const {return _map[k].y;} |
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[1352] | 440 | void set(Key k,Value v) {_map.set(k,typename M::Value(_map[k].x,v));} |
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[1317] | 441 | }; |
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| 442 | |
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| 443 | ///Returns an \ref YMap class |
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| 444 | |
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| 445 | ///This function just returns an \ref YMap class. |
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| 446 | /// |
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| 447 | ///\ingroup maps |
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| 448 | ///\relates YMap |
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| 449 | template<class M> |
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| 450 | inline YMap<M> yMap(M &m) |
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| 451 | { |
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| 452 | return YMap<M>(m); |
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| 453 | } |
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| 454 | |
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[1420] | 455 | template<class M> |
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| 456 | inline YMap<M> yMap(const M &m) |
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| 457 | { |
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| 458 | return YMap<M>(m); |
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| 459 | } |
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| 460 | |
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[1317] | 461 | ///Constant (read only) version of \ref YMap |
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| 462 | |
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| 463 | ///\ingroup maps |
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| 464 | /// |
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| 465 | template<class M> |
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| 466 | class ConstYMap |
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| 467 | { |
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[1706] | 468 | const M& _map; |
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[1317] | 469 | public: |
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[1420] | 470 | |
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[1317] | 471 | typedef typename M::Value::Value Value; |
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| 472 | typedef typename M::Key Key; |
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| 473 | ///\e |
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| 474 | ConstYMap(const M &map) : _map(map) {} |
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| 475 | Value operator[](Key k) const {return _map[k].y;} |
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| 476 | }; |
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| 477 | |
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| 478 | ///Returns a \ref ConstYMap class |
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| 479 | |
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| 480 | ///This function just returns an \ref ConstYMap class. |
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| 481 | /// |
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| 482 | ///\ingroup maps |
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| 483 | ///\relates ConstYMap |
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| 484 | template<class M> |
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| 485 | inline ConstYMap<M> yMap(const M &m) |
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| 486 | { |
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| 487 | return ConstYMap<M>(m); |
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| 488 | } |
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| 489 | |
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| 490 | |
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[1352] | 491 | ///Map of the \ref xy::normSquare() "normSquare()" of an \ref xy "xy"-map |
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| 492 | |
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| 493 | ///Map of the \ref xy::normSquare() "normSquare()" of an \ref xy "xy"-map |
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| 494 | ///\ingroup maps |
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| 495 | /// |
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| 496 | template<class M> |
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| 497 | class NormSquareMap |
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| 498 | { |
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[1706] | 499 | const M& _map; |
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[1352] | 500 | public: |
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[1420] | 501 | |
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[1352] | 502 | typedef typename M::Value::Value Value; |
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| 503 | typedef typename M::Key Key; |
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| 504 | ///\e |
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| 505 | NormSquareMap(const M &map) : _map(map) {} |
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| 506 | Value operator[](Key k) const {return _map[k].normSquare();} |
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| 507 | }; |
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| 508 | |
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| 509 | ///Returns a \ref NormSquareMap class |
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| 510 | |
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| 511 | ///This function just returns an \ref NormSquareMap class. |
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| 512 | /// |
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| 513 | ///\ingroup maps |
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| 514 | ///\relates NormSquareMap |
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| 515 | template<class M> |
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| 516 | inline NormSquareMap<M> normSquareMap(const M &m) |
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| 517 | { |
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| 518 | return NormSquareMap<M>(m); |
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| 519 | } |
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| 520 | |
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[431] | 521 | /// @} |
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[244] | 522 | |
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| 523 | |
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[921] | 524 | } //namespace lemon |
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[201] | 525 | |
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[921] | 526 | #endif //LEMON_XY_H |
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