1 | /* |
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2 | * |
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3 | * Template Numerical Toolkit (TNT) |
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4 | * |
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5 | * Mathematical and Computational Sciences Division |
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6 | * National Institute of Technology, |
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7 | * Gaithersburg, MD USA |
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8 | * |
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9 | * |
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10 | * This software was developed at the National Institute of Standards and |
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11 | * Technology (NIST) by employees of the Federal Government in the course |
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12 | * of their official duties. Pursuant to title 17 Section 105 of the |
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13 | * United States Code, this software is not subject to copyright protection |
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14 | * and is in the public domain. NIST assumes no responsibility whatsoever for |
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15 | * its use by other parties, and makes no guarantees, expressed or implied, |
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16 | * about its quality, reliability, or any other characteristic. |
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17 | * |
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18 | */ |
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19 | |
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20 | |
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21 | |
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22 | #ifndef TNT_VEC_H |
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23 | #define TNT_VEC_H |
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24 | |
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25 | #include "tnt_subscript.h" |
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26 | #include <cstdlib> |
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27 | #include <cassert> |
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28 | #include <iostream> |
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29 | #include <sstream> |
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30 | |
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31 | namespace TNT |
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32 | { |
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33 | |
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34 | /** |
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35 | <b>[Deprecatred]</b> Value-based vector class from pre-1.0 |
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36 | TNT version. Kept here for backward compatiblity, but should |
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37 | use the newer TNT::Array1D classes instead. |
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38 | |
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39 | */ |
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40 | |
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41 | template <class T> |
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42 | class Vector |
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43 | { |
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44 | |
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45 | |
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46 | public: |
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47 | |
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48 | typedef Subscript size_type; |
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49 | typedef T value_type; |
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50 | typedef T element_type; |
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51 | typedef T* pointer; |
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52 | typedef T* iterator; |
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53 | typedef T& reference; |
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54 | typedef const T* const_iterator; |
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55 | typedef const T& const_reference; |
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56 | |
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57 | Subscript lbound() const { return 1;} |
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58 | |
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59 | protected: |
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60 | T* v_; |
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61 | T* vm1_; // pointer adjustment for optimzied 1-offset indexing |
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62 | Subscript n_; |
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63 | |
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64 | // internal helper function to create the array |
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65 | // of row pointers |
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66 | |
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67 | void initialize(Subscript N) |
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68 | { |
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69 | // adjust pointers so that they are 1-offset: |
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70 | // v_[] is the internal contiguous array, it is still 0-offset |
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71 | // |
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72 | assert(v_ == NULL); |
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73 | v_ = new T[N]; |
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74 | assert(v_ != NULL); |
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75 | vm1_ = v_-1; |
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76 | n_ = N; |
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77 | } |
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78 | |
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79 | void copy(const T* v) |
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80 | { |
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81 | Subscript N = n_; |
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82 | Subscript i; |
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83 | |
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84 | #ifdef TNT_UNROLL_LOOPS |
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85 | Subscript Nmod4 = N & 3; |
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86 | Subscript N4 = N - Nmod4; |
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87 | |
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88 | for (i=0; i<N4; i+=4) |
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89 | { |
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90 | v_[i] = v[i]; |
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91 | v_[i+1] = v[i+1]; |
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92 | v_[i+2] = v[i+2]; |
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93 | v_[i+3] = v[i+3]; |
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94 | } |
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95 | |
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96 | for (i=N4; i< N; i++) |
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97 | v_[i] = v[i]; |
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98 | #else |
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99 | |
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100 | for (i=0; i< N; i++) |
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101 | v_[i] = v[i]; |
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102 | #endif |
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103 | } |
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104 | |
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105 | void set(const T& val) |
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106 | { |
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107 | Subscript N = n_; |
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108 | Subscript i; |
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109 | |
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110 | #ifdef TNT_UNROLL_LOOPS |
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111 | Subscript Nmod4 = N & 3; |
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112 | Subscript N4 = N - Nmod4; |
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113 | |
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114 | for (i=0; i<N4; i+=4) |
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115 | { |
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116 | v_[i] = val; |
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117 | v_[i+1] = val; |
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118 | v_[i+2] = val; |
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119 | v_[i+3] = val; |
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120 | } |
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121 | |
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122 | for (i=N4; i< N; i++) |
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123 | v_[i] = val; |
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124 | #else |
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125 | |
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126 | for (i=0; i< N; i++) |
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127 | v_[i] = val; |
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128 | |
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129 | #endif |
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130 | } |
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131 | |
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132 | |
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133 | |
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134 | void destroy() |
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135 | { |
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136 | /* do nothing, if no memory has been previously allocated */ |
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137 | if (v_ == NULL) return ; |
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138 | |
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139 | /* if we are here, then matrix was previously allocated */ |
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140 | delete [] (v_); |
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141 | |
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142 | v_ = NULL; |
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143 | vm1_ = NULL; |
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144 | } |
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145 | |
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146 | |
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147 | public: |
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148 | |
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149 | // access |
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150 | |
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151 | iterator begin() { return v_;} |
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152 | iterator end() { return v_ + n_; } |
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153 | const iterator begin() const { return v_;} |
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154 | const iterator end() const { return v_ + n_; } |
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155 | |
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156 | // destructor |
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157 | |
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158 | ~Vector() |
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159 | { |
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160 | destroy(); |
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161 | } |
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162 | |
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163 | // constructors |
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164 | |
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165 | Vector() : v_(0), vm1_(0), n_(0) {}; |
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166 | |
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167 | Vector(const Vector<T> &A) : v_(0), vm1_(0), n_(0) |
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168 | { |
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169 | initialize(A.n_); |
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170 | copy(A.v_); |
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171 | } |
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172 | |
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173 | Vector(Subscript N, const T& value = T()) : v_(0), vm1_(0), n_(0) |
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174 | { |
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175 | initialize(N); |
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176 | set(value); |
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177 | } |
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178 | |
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179 | Vector(Subscript N, const T* v) : v_(0), vm1_(0), n_(0) |
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180 | { |
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181 | initialize(N); |
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182 | copy(v); |
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183 | } |
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184 | |
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185 | Vector(Subscript N, char *s) : v_(0), vm1_(0), n_(0) |
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186 | { |
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187 | initialize(N); |
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188 | std::istringstream ins(s); |
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189 | |
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190 | Subscript i; |
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191 | |
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192 | for (i=0; i<N; i++) |
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193 | ins >> v_[i]; |
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194 | } |
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195 | |
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196 | |
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197 | // methods |
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198 | // |
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199 | Vector<T>& newsize(Subscript N) |
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200 | { |
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201 | if (n_ == N) return *this; |
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202 | |
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203 | destroy(); |
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204 | initialize(N); |
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205 | |
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206 | return *this; |
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207 | } |
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208 | |
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209 | |
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210 | // assignments |
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211 | // |
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212 | Vector<T>& operator=(const Vector<T> &A) |
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213 | { |
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214 | if (v_ == A.v_) |
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215 | return *this; |
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216 | |
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217 | if (n_ == A.n_) // no need to re-alloc |
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218 | copy(A.v_); |
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219 | |
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220 | else |
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221 | { |
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222 | destroy(); |
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223 | initialize(A.n_); |
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224 | copy(A.v_); |
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225 | } |
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226 | |
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227 | return *this; |
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228 | } |
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229 | |
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230 | Vector<T>& operator=(const T& scalar) |
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231 | { |
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232 | set(scalar); |
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233 | return *this; |
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234 | } |
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235 | |
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236 | inline Subscript dim() const |
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237 | { |
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238 | return n_; |
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239 | } |
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240 | |
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241 | inline Subscript size() const |
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242 | { |
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243 | return n_; |
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244 | } |
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245 | |
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246 | |
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247 | inline reference operator()(Subscript i) |
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248 | { |
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249 | #ifdef TNT_BOUNDS_CHECK |
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250 | assert(1<=i); |
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251 | assert(i <= n_) ; |
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252 | #endif |
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253 | return vm1_[i]; |
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254 | } |
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255 | |
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256 | inline const_reference operator() (Subscript i) const |
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257 | { |
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258 | #ifdef TNT_BOUNDS_CHECK |
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259 | assert(1<=i); |
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260 | assert(i <= n_) ; |
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261 | #endif |
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262 | return vm1_[i]; |
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263 | } |
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264 | |
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265 | inline reference operator[](Subscript i) |
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266 | { |
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267 | #ifdef TNT_BOUNDS_CHECK |
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268 | assert(0<=i); |
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269 | assert(i < n_) ; |
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270 | #endif |
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271 | return v_[i]; |
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272 | } |
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273 | |
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274 | inline const_reference operator[](Subscript i) const |
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275 | { |
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276 | #ifdef TNT_BOUNDS_CHECK |
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277 | assert(0<=i); |
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278 | |
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279 | |
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280 | |
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281 | |
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282 | |
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283 | |
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284 | assert(i < n_) ; |
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285 | #endif |
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286 | return v_[i]; |
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287 | } |
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288 | |
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289 | |
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290 | |
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291 | }; |
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292 | |
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293 | |
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294 | /* *************************** I/O ********************************/ |
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295 | |
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296 | template <class T> |
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297 | std::ostream& operator<<(std::ostream &s, const Vector<T> &A) |
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298 | { |
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299 | Subscript N=A.dim(); |
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300 | |
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301 | s << N << "\n"; |
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302 | |
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303 | for (Subscript i=0; i<N; i++) |
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304 | s << A[i] << " " << "\n"; |
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305 | s << "\n"; |
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306 | |
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307 | return s; |
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308 | } |
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309 | |
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310 | template <class T> |
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311 | std::istream & operator>>(std::istream &s, Vector<T> &A) |
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312 | { |
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313 | |
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314 | Subscript N; |
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315 | |
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316 | s >> N; |
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317 | |
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318 | if ( !(N == A.size() )) |
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319 | { |
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320 | A.newsize(N); |
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321 | } |
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322 | |
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323 | |
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324 | for (Subscript i=0; i<N; i++) |
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325 | s >> A[i]; |
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326 | |
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327 | |
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328 | return s; |
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329 | } |
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330 | |
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331 | // *******************[ basic matrix algorithms ]*************************** |
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332 | |
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333 | |
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334 | template <class T> |
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335 | Vector<T> operator+(const Vector<T> &A, |
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336 | const Vector<T> &B) |
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337 | { |
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338 | Subscript N = A.dim(); |
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339 | |
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340 | assert(N==B.dim()); |
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341 | |
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342 | Vector<T> tmp(N); |
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343 | Subscript i; |
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344 | |
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345 | for (i=0; i<N; i++) |
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346 | tmp[i] = A[i] + B[i]; |
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347 | |
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348 | return tmp; |
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349 | } |
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350 | |
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351 | template <class T> |
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352 | Vector<T> operator-(const Vector<T> &A, |
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353 | const Vector<T> &B) |
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354 | { |
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355 | Subscript N = A.dim(); |
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356 | |
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357 | assert(N==B.dim()); |
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358 | |
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359 | Vector<T> tmp(N); |
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360 | Subscript i; |
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361 | |
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362 | for (i=0; i<N; i++) |
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363 | tmp[i] = A[i] - B[i]; |
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364 | |
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365 | return tmp; |
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366 | } |
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367 | |
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368 | template <class T> |
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369 | Vector<T> operator*(const Vector<T> &A, |
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370 | const Vector<T> &B) |
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371 | { |
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372 | Subscript N = A.dim(); |
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373 | |
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374 | assert(N==B.dim()); |
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375 | |
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376 | Vector<T> tmp(N); |
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377 | Subscript i; |
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378 | |
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379 | for (i=0; i<N; i++) |
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380 | tmp[i] = A[i] * B[i]; |
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381 | |
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382 | return tmp; |
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383 | } |
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384 | |
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385 | |
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386 | template <class T> |
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387 | T dot_prod(const Vector<T> &A, const Vector<T> &B) |
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388 | { |
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389 | Subscript N = A.dim(); |
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390 | assert(N == B.dim()); |
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391 | |
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392 | Subscript i; |
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393 | T sum = 0; |
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394 | |
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395 | for (i=0; i<N; i++) |
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396 | sum += A[i] * B[i]; |
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397 | |
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398 | return sum; |
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399 | } |
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400 | |
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401 | } /* namespace TNT */ |
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402 | |
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403 | #endif |
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404 | // TNT_VEC_H |
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