[906] | 1 | /* -*- C++ -*- |
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[921] | 2 | * src/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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[906] | 5 | * (Egervary Combinatorial Optimization Research Group, EGRES). |
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| 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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| 21 | |
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[491] | 22 | ///\ingroup misc |
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[249] | 23 | ///\file |
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| 24 | ///\brief A simple two dimensional vector and a bounding box implementation |
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| 25 | /// |
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[921] | 26 | /// The class \ref lemon::xy "xy" implements |
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[249] | 27 | ///a two dimensional vector with the usual |
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| 28 | /// operations. |
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| 29 | /// |
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[921] | 30 | /// The class \ref lemon::BoundingBox "BoundingBox" can be used to determine |
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| 31 | /// the rectangular bounding box a set of \ref lemon::xy "xy"'s. |
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[458] | 32 | /// |
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| 33 | ///\author Attila Bernath |
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[249] | 34 | |
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| 35 | |
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[921] | 36 | namespace lemon { |
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[431] | 37 | |
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| 38 | /// \addtogroup misc |
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| 39 | /// @{ |
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| 40 | |
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[458] | 41 | /// A two dimensional vector (plainvector) implementation |
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[242] | 42 | |
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[458] | 43 | /// A two dimensional vector (plainvector) implementation |
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| 44 | ///with the usual vector |
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| 45 | /// operators. |
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| 46 | /// |
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| 47 | ///\author Attila Bernath |
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[207] | 48 | template<typename T> |
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| 49 | class xy { |
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[201] | 50 | |
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[207] | 51 | public: |
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[240] | 52 | |
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[987] | 53 | typedef T Value; |
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[964] | 54 | |
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[240] | 55 | T x,y; |
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[207] | 56 | |
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| 57 | ///Default constructor: both coordinates become 0 |
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[240] | 58 | xy() : x(0), y(0) {} |
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[201] | 59 | |
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[240] | 60 | ///Constructing the instance from coordinates |
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[514] | 61 | xy(T a, T b) : x(a), y(b) { } |
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[201] | 62 | |
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| 63 | |
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[1049] | 64 | ///Conversion constructor |
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| 65 | template<class TT> xy(const xy<TT> &p) : x(p.x), y(p.y) {} |
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| 66 | |
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[207] | 67 | ///Gives back the square of the norm of the vector |
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| 68 | T normSquare(){ |
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[240] | 69 | return x*x+y*y; |
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[207] | 70 | }; |
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[201] | 71 | |
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[207] | 72 | ///Increments the left hand side by u |
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| 73 | xy<T>& operator +=(const xy<T>& u){ |
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[240] | 74 | x += u.x; |
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| 75 | y += u.y; |
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[207] | 76 | return *this; |
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| 77 | }; |
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[201] | 78 | |
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[207] | 79 | ///Decrements the left hand side by u |
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| 80 | xy<T>& operator -=(const xy<T>& u){ |
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[240] | 81 | x -= u.x; |
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| 82 | y -= u.y; |
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[207] | 83 | return *this; |
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| 84 | }; |
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[201] | 85 | |
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[207] | 86 | ///Multiplying the left hand side with a scalar |
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| 87 | xy<T>& operator *=(const T &u){ |
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[240] | 88 | x *= u; |
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| 89 | y *= u; |
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[207] | 90 | return *this; |
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| 91 | }; |
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| 92 | |
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| 93 | ///Dividing the left hand side by a scalar |
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| 94 | xy<T>& operator /=(const T &u){ |
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[240] | 95 | x /= u; |
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| 96 | y /= u; |
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[207] | 97 | return *this; |
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| 98 | }; |
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[201] | 99 | |
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[207] | 100 | ///Returns the scalar product of two vectors |
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| 101 | T operator *(const xy<T>& u){ |
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[240] | 102 | return x*u.x+y*u.y; |
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[207] | 103 | }; |
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[201] | 104 | |
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[207] | 105 | ///Returns the sum of two vectors |
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| 106 | xy<T> operator+(const xy<T> &u) const { |
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| 107 | xy<T> b=*this; |
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| 108 | return b+=u; |
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| 109 | }; |
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[201] | 110 | |
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[1049] | 111 | ///Returns the neg of the vectors |
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| 112 | xy<T> operator-() const { |
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| 113 | xy<T> b=*this; |
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| 114 | b.x=-b.x; b.y=-b.y; |
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| 115 | return b; |
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| 116 | }; |
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| 117 | |
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[207] | 118 | ///Returns the difference of two vectors |
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| 119 | xy<T> operator-(const xy<T> &u) const { |
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| 120 | xy<T> b=*this; |
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| 121 | return b-=u; |
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| 122 | }; |
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[201] | 123 | |
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[207] | 124 | ///Returns a vector multiplied by a scalar |
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| 125 | xy<T> operator*(const T &u) const { |
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| 126 | xy<T> b=*this; |
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| 127 | return b*=u; |
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| 128 | }; |
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[201] | 129 | |
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[207] | 130 | ///Returns a vector divided by a scalar |
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| 131 | xy<T> operator/(const T &u) const { |
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| 132 | xy<T> b=*this; |
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| 133 | return b/=u; |
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| 134 | }; |
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[201] | 135 | |
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[207] | 136 | ///Testing equality |
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| 137 | bool operator==(const xy<T> &u){ |
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[240] | 138 | return (x==u.x) && (y==u.y); |
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[207] | 139 | }; |
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[201] | 140 | |
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[207] | 141 | ///Testing inequality |
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| 142 | bool operator!=(xy u){ |
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[240] | 143 | return (x!=u.x) || (y!=u.y); |
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[207] | 144 | }; |
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[201] | 145 | |
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[207] | 146 | }; |
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[201] | 147 | |
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[1071] | 148 | ///Returns a vector multiplied by a scalar |
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[1083] | 149 | |
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| 150 | ///Returns a vector multiplied by a scalar |
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| 151 | ///\relates xy |
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[1071] | 152 | template<typename T> xy<T> operator*(const T &u,const xy<T> &x) { |
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| 153 | return x*u; |
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| 154 | }; |
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| 155 | |
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[814] | 156 | ///Read a plainvector from a stream |
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| 157 | |
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[967] | 158 | ///Read a plainvector from a stream |
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[814] | 159 | ///\relates xy |
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| 160 | /// |
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[207] | 161 | template<typename T> |
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| 162 | inline |
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| 163 | std::istream& operator>>(std::istream &is, xy<T> &z) |
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| 164 | { |
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[240] | 165 | |
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| 166 | is >> z.x >> z.y; |
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[207] | 167 | return is; |
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| 168 | } |
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[201] | 169 | |
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[814] | 170 | ///Write a plainvector to a stream |
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| 171 | |
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[967] | 172 | ///Write a plainvector to a stream |
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[814] | 173 | ///\relates xy |
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| 174 | /// |
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[207] | 175 | template<typename T> |
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| 176 | inline |
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| 177 | std::ostream& operator<<(std::ostream &os, xy<T> z) |
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| 178 | { |
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[240] | 179 | os << "(" << z.x << ", " << z.y << ")"; |
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[207] | 180 | return os; |
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| 181 | } |
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| 182 | |
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[1202] | 183 | ///Rotate by 90 degrees |
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| 184 | |
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| 185 | ///Returns its parameter rotated by 90 degrees in positive direction. |
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| 186 | ///\relates xy |
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| 187 | /// |
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| 188 | template<typename T> |
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| 189 | inline xy<T> rot90(const xy<T> &z) |
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| 190 | { |
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| 191 | return xy<T>(-z.y,z.x); |
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| 192 | } |
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| 193 | |
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| 194 | ///Rotate by 270 degrees |
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| 195 | |
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| 196 | ///Returns its parameter rotated by 90 degrees in negative direction. |
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| 197 | ///\relates xy |
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| 198 | /// |
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| 199 | template<typename T> |
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| 200 | inline xy<T> rot270(const xy<T> &z) |
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| 201 | { |
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| 202 | return xy<T>(z.y,-z.x); |
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| 203 | } |
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| 204 | |
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| 205 | |
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[244] | 206 | |
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[458] | 207 | /// A class to calculate or store the bounding box of plainvectors. |
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| 208 | |
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| 209 | /// A class to calculate or store the bounding box of plainvectors. |
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| 210 | /// |
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| 211 | ///\author Attila Bernath |
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[244] | 212 | template<typename T> |
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| 213 | class BoundingBox { |
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| 214 | xy<T> bottom_left, top_right; |
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| 215 | bool _empty; |
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| 216 | public: |
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| 217 | |
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| 218 | ///Default constructor: an empty bounding box |
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| 219 | BoundingBox() { _empty = true; } |
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| 220 | |
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| 221 | ///Constructing the instance from one point |
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| 222 | BoundingBox(xy<T> a) { bottom_left=top_right=a; _empty = false; } |
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| 223 | |
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| 224 | ///Is there any point added |
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| 225 | bool empty() const { |
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| 226 | return _empty; |
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| 227 | } |
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| 228 | |
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| 229 | ///Gives back the bottom left corner (if the bounding box is empty, then the return value is not defined) |
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| 230 | xy<T> bottomLeft() const { |
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| 231 | return bottom_left; |
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| 232 | }; |
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| 233 | |
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| 234 | ///Gives back the top right corner (if the bounding box is empty, then the return value is not defined) |
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| 235 | xy<T> topRight() const { |
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| 236 | return top_right; |
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| 237 | }; |
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| 238 | |
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[1045] | 239 | ///Gives back the bottom right corner (if the bounding box is empty, then the return value is not defined) |
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| 240 | xy<T> bottomRight() const { |
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| 241 | return xy<T>(top_right.x,bottom_left.y); |
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| 242 | }; |
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| 243 | |
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| 244 | ///Gives back the top left corner (if the bounding box is empty, then the return value is not defined) |
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| 245 | xy<T> topLeft() const { |
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| 246 | return xy<T>(bottom_left.x,top_right.y); |
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| 247 | }; |
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| 248 | |
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| 249 | ///Gives back the bottom of the box (if the bounding box is empty, then the return value is not defined) |
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| 250 | T bottom() const { |
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| 251 | return bottom_left.y; |
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| 252 | }; |
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| 253 | |
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| 254 | ///Gives back the top of the box (if the bounding box is empty, then the return value is not defined) |
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| 255 | T top() const { |
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| 256 | return top_right.y; |
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| 257 | }; |
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| 258 | |
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| 259 | ///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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| 260 | T left() const { |
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| 261 | return bottom_left.x; |
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| 262 | }; |
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| 263 | |
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| 264 | ///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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| 265 | T right() const { |
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| 266 | return top_right.x; |
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| 267 | }; |
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| 268 | |
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[1102] | 269 | ///Gives back the height of the box (if the bounding box is empty, then the return value is not defined) |
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| 270 | T height() const { |
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| 271 | return top_right.y-bottom_left.y; |
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| 272 | }; |
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| 273 | |
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| 274 | ///Gives back the width of the box (if the bounding box is empty, then the return value is not defined) |
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| 275 | T width() const { |
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| 276 | return top_right.x-bottom_left.x; |
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| 277 | }; |
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| 278 | |
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[244] | 279 | ///Checks whether a point is inside a bounding box |
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| 280 | bool inside(const xy<T>& u){ |
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| 281 | if (_empty) |
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| 282 | return false; |
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| 283 | else{ |
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| 284 | return ((u.x-bottom_left.x)*(top_right.x-u.x) >= 0 && |
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| 285 | (u.y-bottom_left.y)*(top_right.y-u.y) >= 0 ); |
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| 286 | } |
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| 287 | } |
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| 288 | |
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| 289 | ///Increments a bounding box with a point |
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| 290 | BoundingBox& operator +=(const xy<T>& u){ |
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| 291 | if (_empty){ |
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| 292 | bottom_left=top_right=u; |
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| 293 | _empty = false; |
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| 294 | } |
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| 295 | else{ |
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| 296 | if (bottom_left.x > u.x) bottom_left.x = u.x; |
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| 297 | if (bottom_left.y > u.y) bottom_left.y = u.y; |
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| 298 | if (top_right.x < u.x) top_right.x = u.x; |
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| 299 | if (top_right.y < u.y) top_right.y = u.y; |
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| 300 | } |
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| 301 | return *this; |
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| 302 | }; |
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| 303 | |
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| 304 | ///Sums a bounding box and a point |
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| 305 | BoundingBox operator +(const xy<T>& u){ |
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| 306 | BoundingBox b = *this; |
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| 307 | return b += u; |
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| 308 | }; |
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| 309 | |
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| 310 | ///Increments a bounding box with an other bounding box |
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| 311 | BoundingBox& operator +=(const BoundingBox &u){ |
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| 312 | if ( !u.empty() ){ |
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| 313 | *this += u.bottomLeft(); |
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| 314 | *this += u.topRight(); |
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| 315 | } |
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| 316 | return *this; |
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| 317 | }; |
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| 318 | |
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| 319 | ///Sums two bounding boxes |
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| 320 | BoundingBox operator +(const BoundingBox& u){ |
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| 321 | BoundingBox b = *this; |
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| 322 | return b += u; |
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| 323 | }; |
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| 324 | |
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| 325 | };//class Boundingbox |
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| 326 | |
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| 327 | |
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[431] | 328 | /// @} |
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[244] | 329 | |
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| 330 | |
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[921] | 331 | } //namespace lemon |
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[201] | 332 | |
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[921] | 333 | #endif //LEMON_XY_H |
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