1 | // -*- c++ -*- |
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2 | /** |
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3 | 2 dimensional vector (plainvector) implementation |
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4 | |
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5 | */ |
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6 | #ifndef HUGO_XY_H |
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7 | #define HUGO_XY_H |
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8 | |
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9 | #include <iostream> |
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10 | |
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11 | namespace hugo { |
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12 | |
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13 | template<typename T> |
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14 | class xy { |
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15 | |
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16 | public: |
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17 | |
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18 | T x,y; |
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19 | |
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20 | ///Default constructor: both coordinates become 0 |
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21 | xy() : x(0), y(0) {} |
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22 | |
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23 | ///Constructing the instance from coordinates |
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24 | xy(T a, T b) : x(a), y(a) { } |
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25 | |
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26 | |
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27 | ///Gives back the square of the norm of the vector |
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28 | T normSquare(){ |
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29 | return x*x+y*y; |
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30 | }; |
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31 | |
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32 | ///Increments the left hand side by u |
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33 | xy<T>& operator +=(const xy<T>& u){ |
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34 | x += u.x; |
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35 | y += u.y; |
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36 | return *this; |
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37 | }; |
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38 | |
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39 | ///Decrements the left hand side by u |
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40 | xy<T>& operator -=(const xy<T>& u){ |
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41 | x -= u.x; |
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42 | y -= u.y; |
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43 | return *this; |
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44 | }; |
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45 | |
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46 | ///Multiplying the left hand side with a scalar |
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47 | xy<T>& operator *=(const T &u){ |
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48 | x *= u; |
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49 | y *= u; |
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50 | return *this; |
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51 | }; |
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52 | |
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53 | ///Dividing the left hand side by a scalar |
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54 | xy<T>& operator /=(const T &u){ |
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55 | x /= u; |
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56 | y /= u; |
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57 | return *this; |
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58 | }; |
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59 | |
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60 | ///Returns the scalar product of two vectors |
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61 | T operator *(const xy<T>& u){ |
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62 | return x*u.x+y*u.y; |
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63 | }; |
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64 | |
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65 | ///Returns the sum of two vectors |
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66 | xy<T> operator+(const xy<T> &u) const { |
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67 | xy<T> b=*this; |
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68 | return b+=u; |
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69 | }; |
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70 | |
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71 | ///Returns the difference of two vectors |
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72 | xy<T> operator-(const xy<T> &u) const { |
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73 | xy<T> b=*this; |
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74 | return b-=u; |
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75 | }; |
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76 | |
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77 | ///Returns a vector multiplied by a scalar |
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78 | xy<T> operator*(const T &u) const { |
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79 | xy<T> b=*this; |
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80 | return b*=u; |
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81 | }; |
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82 | |
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83 | ///Returns a vector divided by a scalar |
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84 | xy<T> operator/(const T &u) const { |
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85 | xy<T> b=*this; |
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86 | return b/=u; |
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87 | }; |
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88 | |
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89 | ///Testing equality |
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90 | bool operator==(const xy<T> &u){ |
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91 | return (x==u.x) && (y==u.y); |
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92 | }; |
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93 | |
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94 | ///Testing inequality |
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95 | bool operator!=(xy u){ |
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96 | return (x!=u.x) || (y!=u.y); |
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97 | }; |
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98 | |
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99 | }; |
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100 | |
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101 | ///Reading a plainvector from a stream |
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102 | template<typename T> |
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103 | inline |
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104 | std::istream& operator>>(std::istream &is, xy<T> &z) |
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105 | { |
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106 | |
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107 | is >> z.x >> z.y; |
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108 | return is; |
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109 | } |
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110 | |
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111 | ///Outputting a plainvector to a stream |
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112 | template<typename T> |
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113 | inline |
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114 | std::ostream& operator<<(std::ostream &os, xy<T> z) |
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115 | { |
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116 | os << "(" << z.x << ", " << z.y << ")"; |
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117 | return os; |
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118 | } |
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119 | |
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120 | } //namespace hugo |
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121 | |
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122 | #endif //HUGO_XY_H |
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