[f2d6445] | 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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