1 | // |
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2 | // Copyright (c) 2000-2002 |
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3 | // Joerg Walter, Mathias Koch |
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4 | // |
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5 | // Permission to use, copy, modify, distribute and sell this software |
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6 | // and its documentation for any purpose is hereby granted without fee, |
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7 | // provided that the above copyright notice appear in all copies and |
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8 | // that both that copyright notice and this permission notice appear |
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9 | // in supporting documentation. The authors make no representations |
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10 | // about the suitability of this software for any purpose. |
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11 | // It is provided "as is" without express or implied warranty. |
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12 | // |
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13 | // The authors gratefully acknowledge the support of |
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14 | // GeNeSys mbH & Co. KG in producing this work. |
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15 | // |
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16 | |
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17 | #include "bench1.hpp" |
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18 | |
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19 | template<class T, int N> |
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20 | struct bench_c_outer_prod { |
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21 | typedef T value_type; |
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22 | |
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23 | void operator () (int runs) const { |
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24 | try { |
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25 | static typename c_matrix_traits<T, N, N>::type m; |
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26 | static typename c_vector_traits<T, N>::type v1, v2; |
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27 | initialize_c_vector<T, N> () (v1); |
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28 | initialize_c_vector<T, N> () (v2); |
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29 | boost::timer t; |
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30 | for (int i = 0; i < runs; ++ i) { |
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31 | for (int j = 0; j < N; ++ j) { |
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32 | for (int k = 0; k < N; ++ k) { |
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33 | m [j] [k] = - v1 [j] * v2 [k]; |
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34 | } |
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35 | } |
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36 | // sink_c_matrix<T, N, N> () (m); |
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37 | } |
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38 | footer<value_type> () (N * N, N * N, runs, t.elapsed ()); |
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39 | } |
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40 | catch (std::exception &e) { |
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41 | std::cout << e.what () << std::endl; |
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42 | } |
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43 | } |
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44 | }; |
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45 | template<class M, class V, int N> |
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46 | struct bench_my_outer_prod { |
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47 | typedef typename M::value_type value_type; |
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48 | |
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49 | void operator () (int runs, safe_tag) const { |
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50 | try { |
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51 | static M m (N, N); |
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52 | static V v1 (N), v2 (N); |
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53 | initialize_vector (v1); |
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54 | initialize_vector (v2); |
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55 | boost::timer t; |
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56 | for (int i = 0; i < runs; ++ i) { |
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57 | m = - ublas::outer_prod (v1, v2); |
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58 | // sink_matrix (m); |
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59 | } |
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60 | footer<value_type> () (N * N, N * N, runs, t.elapsed ()); |
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61 | } |
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62 | catch (std::exception &e) { |
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63 | std::cout << e.what () << std::endl; |
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64 | } |
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65 | } |
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66 | void operator () (int runs, fast_tag) const { |
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67 | try { |
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68 | static M m (N, N); |
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69 | static V v1 (N), v2 (N); |
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70 | initialize_vector (v1); |
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71 | initialize_vector (v2); |
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72 | boost::timer t; |
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73 | for (int i = 0; i < runs; ++ i) { |
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74 | m.assign (- ublas::outer_prod (v1, v2)); |
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75 | // sink_matrix (m); |
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76 | } |
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77 | footer<value_type> () (N * N, N * N, runs, t.elapsed ()); |
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78 | } |
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79 | catch (std::exception &e) { |
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80 | std::cout << e.what () << std::endl; |
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81 | } |
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82 | } |
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83 | }; |
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84 | template<class M, class V, int N> |
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85 | struct bench_cpp_outer_prod { |
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86 | typedef typename M::value_type value_type; |
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87 | |
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88 | void operator () (int runs) const { |
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89 | try { |
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90 | static M m (N * N); |
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91 | static V v1 (N), v2 (N); |
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92 | initialize_vector (v1); |
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93 | initialize_vector (v2); |
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94 | boost::timer t; |
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95 | for (int i = 0; i < runs; ++ i) { |
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96 | for (int j = 0; j < N; ++ j) { |
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97 | for (int k = 0; k < N; ++ k) { |
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98 | m [N * j + k] = - v1 [j] * v2 [k]; |
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99 | } |
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100 | } |
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101 | // sink_vector (m); |
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102 | } |
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103 | footer<value_type> () (N * N, N * N, runs, t.elapsed ()); |
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104 | } |
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105 | catch (std::exception &e) { |
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106 | std::cout << e.what () << std::endl; |
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107 | } |
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108 | } |
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109 | }; |
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110 | |
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111 | template<class T, int N> |
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112 | struct bench_c_matrix_vector_prod { |
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113 | typedef T value_type; |
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114 | |
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115 | void operator () (int runs) const { |
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116 | try { |
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117 | static typename c_matrix_traits<T, N, N>::type m; |
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118 | static typename c_vector_traits<T, N>::type v1, v2; |
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119 | initialize_c_matrix<T, N, N> () (m); |
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120 | initialize_c_vector<T, N> () (v1); |
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121 | boost::timer t; |
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122 | for (int i = 0; i < runs; ++ i) { |
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123 | for (int j = 0; j < N; ++ j) { |
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124 | v2 [j] = 0; |
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125 | for (int k = 0; k < N; ++ k) { |
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126 | v2 [j] += m [j] [k] * v1 [k]; |
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127 | } |
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128 | } |
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129 | // sink_c_vector<T, N> () (v2); |
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130 | } |
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131 | footer<value_type> () (N * N, N * (N - 1), runs, t.elapsed ()); |
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132 | } |
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133 | catch (std::exception &e) { |
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134 | std::cout << e.what () << std::endl; |
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135 | } |
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136 | } |
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137 | }; |
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138 | template<class M, class V, int N> |
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139 | struct bench_my_matrix_vector_prod { |
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140 | typedef typename M::value_type value_type; |
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141 | |
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142 | void operator () (int runs, safe_tag) const { |
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143 | try { |
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144 | static M m (N, N); |
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145 | static V v1 (N), v2 (N); |
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146 | initialize_matrix (m); |
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147 | initialize_vector (v1); |
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148 | boost::timer t; |
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149 | for (int i = 0; i < runs; ++ i) { |
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150 | v2 = ublas::prod (m, v1); |
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151 | // sink_vector (v2); |
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152 | } |
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153 | footer<value_type> () (N * N, N * (N - 1), runs, t.elapsed ()); |
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154 | } |
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155 | catch (std::exception &e) { |
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156 | std::cout << e.what () << std::endl; |
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157 | } |
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158 | } |
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159 | void operator () (int runs, fast_tag) const { |
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160 | try { |
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161 | static M m (N, N); |
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162 | static V v1 (N), v2 (N); |
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163 | initialize_matrix (m); |
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164 | initialize_vector (v1); |
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165 | boost::timer t; |
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166 | for (int i = 0; i < runs; ++ i) { |
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167 | v2.assign (ublas::prod (m, v1)); |
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168 | // sink_vector (v2); |
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169 | } |
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170 | footer<value_type> () (N * N, N * (N - 1), runs, t.elapsed ()); |
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171 | } |
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172 | catch (std::exception &e) { |
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173 | std::cout << e.what () << std::endl; |
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174 | } |
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175 | } |
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176 | }; |
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177 | template<class M, class V, int N> |
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178 | struct bench_cpp_matrix_vector_prod { |
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179 | typedef typename M::value_type value_type; |
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180 | |
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181 | void operator () (int runs) const { |
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182 | try { |
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183 | static M m (N * N); |
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184 | static V v1 (N), v2 (N); |
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185 | initialize_vector (m); |
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186 | initialize_vector (v1); |
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187 | boost::timer t; |
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188 | for (int i = 0; i < runs; ++ i) { |
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189 | for (int j = 0; j < N; ++ j) { |
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190 | std::valarray<value_type> row (m [std::slice (N * j, N, 1)]); |
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191 | v2 [j] = (row * v1).sum (); |
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192 | } |
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193 | // sink_vector (v2); |
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194 | } |
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195 | footer<value_type> () (N * N, N * (N - 1), runs, t.elapsed ()); |
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196 | } |
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197 | catch (std::exception &e) { |
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198 | std::cout << e.what () << std::endl; |
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199 | } |
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200 | } |
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201 | }; |
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202 | |
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203 | template<class T, int N> |
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204 | struct bench_c_matrix_add { |
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205 | typedef T value_type; |
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206 | |
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207 | void operator () (int runs) const { |
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208 | try { |
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209 | static typename c_matrix_traits<T, N, N>::type m1, m2, m3; |
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210 | initialize_c_matrix<T, N, N> () (m1); |
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211 | initialize_c_matrix<T, N, N> () (m2); |
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212 | boost::timer t; |
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213 | for (int i = 0; i < runs; ++ i) { |
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214 | for (int j = 0; j < N; ++ j) { |
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215 | for (int k = 0; k < N; ++ k) { |
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216 | m3 [j] [k] = - (m1 [j] [k] + m2 [j] [k]); |
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217 | } |
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218 | } |
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219 | // sink_c_matrix<T, N, N> () (m3); |
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220 | } |
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221 | footer<value_type> () (0, 2 * N * N, runs, t.elapsed ()); |
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222 | } |
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223 | catch (std::exception &e) { |
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224 | std::cout << e.what () << std::endl; |
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225 | } |
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226 | } |
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227 | }; |
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228 | template<class M, int N> |
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229 | struct bench_my_matrix_add { |
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230 | typedef typename M::value_type value_type; |
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231 | |
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232 | void operator () (int runs, safe_tag) const { |
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233 | try { |
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234 | static M m1 (N, N), m2 (N, N), m3 (N, N); |
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235 | initialize_matrix (m1); |
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236 | initialize_matrix (m2); |
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237 | boost::timer t; |
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238 | for (int i = 0; i < runs; ++ i) { |
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239 | m3 = - (m1 + m2); |
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240 | // sink_matrix (m3); |
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241 | } |
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242 | footer<value_type> () (0, 2 * N * N, runs, t.elapsed ()); |
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243 | } |
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244 | catch (std::exception &e) { |
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245 | std::cout << e.what () << std::endl; |
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246 | } |
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247 | } |
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248 | void operator () (int runs, fast_tag) const { |
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249 | try { |
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250 | static M m1 (N, N), m2 (N, N), m3 (N, N); |
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251 | initialize_matrix (m1); |
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252 | initialize_matrix (m2); |
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253 | boost::timer t; |
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254 | for (int i = 0; i < runs; ++ i) { |
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255 | m3.assign (- (m1 + m2)); |
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256 | // sink_matrix (m3); |
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257 | } |
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258 | footer<value_type> () (0, 2 * N * N, runs, t.elapsed ()); |
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259 | } |
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260 | catch (std::exception &e) { |
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261 | std::cout << e.what () << std::endl; |
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262 | } |
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263 | } |
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264 | }; |
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265 | template<class M, int N> |
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266 | struct bench_cpp_matrix_add { |
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267 | typedef typename M::value_type value_type; |
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268 | |
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269 | void operator () (int runs) const { |
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270 | try { |
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271 | static M m1 (N * N), m2 (N * N), m3 (N * N); |
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272 | initialize_vector (m1); |
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273 | initialize_vector (m2); |
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274 | boost::timer t; |
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275 | for (int i = 0; i < runs; ++ i) { |
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276 | m3 = - (m1 + m2); |
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277 | // sink_vector (m3); |
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278 | } |
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279 | footer<value_type> () (0, 2 * N * N, runs, t.elapsed ()); |
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280 | } |
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281 | catch (std::exception &e) { |
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282 | std::cout << e.what () << std::endl; |
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283 | } |
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284 | } |
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285 | }; |
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286 | |
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287 | // Benchmark O (n ^ 2) |
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288 | template<class T, int N> |
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289 | void bench_2<T, N>::operator () (int runs) { |
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290 | header ("bench_2"); |
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291 | |
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292 | header ("outer_prod"); |
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293 | |
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294 | header ("C array"); |
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295 | bench_c_outer_prod<T, N> () (runs); |
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296 | |
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297 | #ifdef USE_C_ARRAY |
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298 | header ("c_matrix, c_vector safe"); |
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299 | bench_my_outer_prod<ublas::c_matrix<T, N, N>, |
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300 | ublas::c_vector<T, N>, N> () (runs, safe_tag ()); |
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301 | |
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302 | header ("c_matrix, c_vector fast"); |
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303 | bench_my_outer_prod<ublas::c_matrix<T, N, N>, |
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304 | ublas::c_vector<T, N>, N> () (runs, fast_tag ()); |
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305 | #endif |
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306 | |
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307 | #ifdef USE_BOUNDED_ARRAY |
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308 | header ("matrix<bounded_array>, vector<bounded_array> safe"); |
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309 | bench_my_outer_prod<ublas::matrix<T, ublas::row_major, ublas::bounded_array<T, N * N> >, |
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310 | ublas::vector<T, ublas::bounded_array<T, N> >, N> () (runs, safe_tag ()); |
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311 | |
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312 | header ("matrix<bounded_array>, vector<bounded_array> fast"); |
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313 | bench_my_outer_prod<ublas::matrix<T, ublas::row_major, ublas::bounded_array<T, N * N> >, |
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314 | ublas::vector<T, ublas::bounded_array<T, N> >, N> () (runs, fast_tag ()); |
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315 | #endif |
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316 | |
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317 | #ifdef USE_UNBOUNDED_ARRAY |
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318 | header ("matrix<unbounded_array>, vector<unbounded_array> safe"); |
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319 | bench_my_outer_prod<ublas::matrix<T, ublas::row_major, ublas::unbounded_array<T> >, |
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320 | ublas::vector<T, ublas::unbounded_array<T> >, N> () (runs, safe_tag ()); |
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321 | |
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322 | header ("matrix<unbounded_array>, vector<unbounded_array> fast"); |
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323 | bench_my_outer_prod<ublas::matrix<T, ublas::row_major, ublas::unbounded_array<T> >, |
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324 | ublas::vector<T, ublas::unbounded_array<T> >, N> () (runs, fast_tag ()); |
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325 | #endif |
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326 | |
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327 | #ifdef USE_STD_VALARRAY |
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328 | header ("matrix<std::valarray>, vector<std::valarray> safe"); |
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329 | bench_my_outer_prod<ublas::matrix<T, ublas::row_major, std::valarray<T> >, |
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330 | ublas::vector<T, std::valarray<T> >, N> () (runs, safe_tag ()); |
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331 | |
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332 | header ("matrix<std::valarray>, vector<std::valarray> fast"); |
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333 | bench_my_outer_prod<ublas::matrix<T, ublas::row_major, std::valarray<T> >, |
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334 | ublas::vector<T, std::valarray<T> >, N> () (runs, fast_tag ()); |
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335 | #endif |
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336 | |
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337 | #ifdef USE_STD_VECTOR |
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338 | header ("matrix<std::vector>, vector<std::vector> safe"); |
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339 | bench_my_outer_prod<ublas::matrix<T, ublas::row_major, std::vector<T> >, |
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340 | ublas::vector<T, std::vector<T> >, N> () (runs, safe_tag ()); |
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341 | |
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342 | header ("matrix<std::vector>, vector<std::vector> fast"); |
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343 | bench_my_outer_prod<ublas::matrix<T, ublas::row_major, std::vector<T> >, |
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344 | ublas::vector<T, std::vector<T> >, N> () (runs, fast_tag ()); |
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345 | #endif |
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346 | |
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347 | #ifdef USE_STD_VALARRAY |
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348 | header ("std::valarray"); |
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349 | bench_cpp_outer_prod<std::valarray<T>, std::valarray<T>, N> () (runs); |
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350 | #endif |
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351 | |
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352 | header ("prod (matrix, vector)"); |
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353 | |
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354 | header ("C array"); |
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355 | bench_c_matrix_vector_prod<T, N> () (runs); |
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356 | |
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357 | #ifdef USE_C_ARRAY |
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358 | header ("c_matrix, c_vector safe"); |
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359 | bench_my_matrix_vector_prod<ublas::c_matrix<T, N, N>, |
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360 | ublas::c_vector<T, N>, N> () (runs, safe_tag ()); |
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361 | |
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362 | header ("c_matrix, c_vector fast"); |
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363 | bench_my_matrix_vector_prod<ublas::c_matrix<T, N, N>, |
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364 | ublas::c_vector<T, N>, N> () (runs, fast_tag ()); |
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365 | #endif |
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366 | |
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367 | #ifdef USE_BOUNDED_ARRAY |
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368 | header ("matrix<bounded_array>, vector<bounded_array> safe"); |
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369 | bench_my_matrix_vector_prod<ublas::matrix<T, ublas::row_major, ublas::bounded_array<T, N * N> >, |
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370 | ublas::vector<T, ublas::bounded_array<T, N> >, N> () (runs, safe_tag ()); |
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371 | |
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372 | header ("matrix<bounded_array>, vector<bounded_array> fast"); |
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373 | bench_my_matrix_vector_prod<ublas::matrix<T, ublas::row_major, ublas::bounded_array<T, N * N> >, |
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374 | ublas::vector<T, ublas::bounded_array<T, N> >, N> () (runs, fast_tag ()); |
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375 | #endif |
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376 | |
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377 | #ifdef USE_UNBOUNDED_ARRAY |
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378 | header ("matrix<unbounded_array>, vector<unbounded_array> safe"); |
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379 | bench_my_matrix_vector_prod<ublas::matrix<T, ublas::row_major, ublas::unbounded_array<T> >, |
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380 | ublas::vector<T, ublas::unbounded_array<T> >, N> () (runs, safe_tag ()); |
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381 | |
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382 | header ("matrix<unbounded_array>, vector<unbounded_array> fast"); |
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383 | bench_my_matrix_vector_prod<ublas::matrix<T, ublas::row_major, ublas::unbounded_array<T> >, |
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384 | ublas::vector<T, ublas::unbounded_array<T> >, N> () (runs, fast_tag ()); |
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385 | #endif |
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386 | |
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387 | #ifdef USE_STD_VALARRAY |
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388 | header ("matrix<std::valarray>, vector<std::valarray> safe"); |
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389 | bench_my_matrix_vector_prod<ublas::matrix<T, ublas::row_major, std::valarray<T> >, |
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390 | ublas::vector<T, std::valarray<T> >, N> () (runs, safe_tag ()); |
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391 | |
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392 | header ("matrix<std::valarray>, vector<std::valarray> fast"); |
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393 | bench_my_matrix_vector_prod<ublas::matrix<T, ublas::row_major, std::valarray<T> >, |
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394 | ublas::vector<T, std::valarray<T> >, N> () (runs, fast_tag ()); |
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395 | #endif |
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396 | |
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397 | #ifdef USE_STD_VECTOR |
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398 | header ("matrix<std::vector>, vector<std::vector> safe"); |
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399 | bench_my_matrix_vector_prod<ublas::matrix<T, ublas::row_major, std::vector<T> >, |
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400 | ublas::vector<T, std::vector<T> >, N> () (runs, safe_tag ()); |
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401 | |
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402 | header ("matrix<std::vector>, vector<std::vector> fast"); |
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403 | bench_my_matrix_vector_prod<ublas::matrix<T, ublas::row_major, std::vector<T> >, |
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404 | ublas::vector<T, std::vector<T> >, N> () (runs, fast_tag ()); |
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405 | #endif |
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406 | |
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407 | #ifdef USE_STD_VALARRAY |
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408 | header ("std::valarray"); |
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409 | bench_cpp_matrix_vector_prod<std::valarray<T>, std::valarray<T>, N> () (runs); |
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410 | #endif |
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411 | |
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412 | header ("matrix + matrix"); |
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413 | |
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414 | header ("C array"); |
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415 | bench_c_matrix_add<T, N> () (runs); |
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416 | |
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417 | #ifdef USE_C_ARRAY |
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418 | header ("c_matrix safe"); |
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419 | bench_my_matrix_add<ublas::c_matrix<T, N, N>, N> () (runs, safe_tag ()); |
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420 | |
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421 | header ("c_matrix fast"); |
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422 | bench_my_matrix_add<ublas::c_matrix<T, N, N>, N> () (runs, fast_tag ()); |
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423 | #endif |
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424 | |
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425 | #ifdef USE_BOUNDED_ARRAY |
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426 | header ("matrix<bounded_array> safe"); |
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427 | bench_my_matrix_add<ublas::matrix<T, ublas::row_major, ublas::bounded_array<T, N * N> >, N> () (runs, safe_tag ()); |
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428 | |
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429 | header ("matrix<bounded_array> fast"); |
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430 | bench_my_matrix_add<ublas::matrix<T, ublas::row_major, ublas::bounded_array<T, N * N> >, N> () (runs, fast_tag ()); |
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431 | #endif |
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432 | |
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433 | #ifdef USE_UNBOUNDED_ARRAY |
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434 | header ("matrix<unbounded_array> safe"); |
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435 | bench_my_matrix_add<ublas::matrix<T, ublas::row_major, ublas::unbounded_array<T> >, N> () (runs, safe_tag ()); |
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436 | |
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437 | header ("matrix<unbounded_array> fast"); |
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438 | bench_my_matrix_add<ublas::matrix<T, ublas::row_major, ublas::unbounded_array<T> >, N> () (runs, fast_tag ()); |
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439 | #endif |
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440 | |
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441 | #ifdef USE_STD_VALARRAY |
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442 | header ("matrix<std::valarray> safe"); |
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443 | bench_my_matrix_add<ublas::matrix<T, ublas::row_major, std::valarray<T> >, N> () (runs, safe_tag ()); |
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444 | |
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445 | header ("matrix<std::valarray> fast"); |
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446 | bench_my_matrix_add<ublas::matrix<T, ublas::row_major, std::valarray<T> >, N> () (runs, fast_tag ()); |
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447 | #endif |
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448 | |
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449 | #ifdef USE_STD_VECTOR |
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450 | header ("matrix<std::vector> safe"); |
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451 | bench_my_matrix_add<ublas::matrix<T, ublas::row_major, std::vector<T> >, N> () (runs, safe_tag ()); |
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452 | |
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453 | header ("matrix<std::vector> fast"); |
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454 | bench_my_matrix_add<ublas::matrix<T, ublas::row_major, std::vector<T> >, N> () (runs, fast_tag ()); |
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455 | #endif |
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456 | |
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457 | #ifdef USE_STD_VALARRAY |
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458 | header ("std::valarray"); |
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459 | bench_cpp_matrix_add<std::valarray<T>, N> () (runs); |
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460 | #endif |
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461 | } |
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462 | |
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463 | #ifdef USE_FLOAT |
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464 | template struct bench_2<float, 3>; |
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465 | template struct bench_2<float, 10>; |
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466 | template struct bench_2<float, 30>; |
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467 | template struct bench_2<float, 100>; |
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468 | #endif |
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469 | |
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470 | #ifdef USE_DOUBLE |
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471 | template struct bench_2<double, 3>; |
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472 | template struct bench_2<double, 10>; |
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473 | template struct bench_2<double, 30>; |
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474 | template struct bench_2<double, 100>; |
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475 | #endif |
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476 | |
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477 | #ifdef USE_STD_COMPLEX |
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478 | #ifdef USE_FLOAT |
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479 | template struct bench_2<std::complex<float>, 3>; |
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480 | template struct bench_2<std::complex<float>, 10>; |
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481 | template struct bench_2<std::complex<float>, 30>; |
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482 | template struct bench_2<std::complex<float>, 100>; |
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483 | #endif |
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484 | |
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485 | #ifdef USE_DOUBLE |
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486 | template struct bench_2<std::complex<double>, 3>; |
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487 | template struct bench_2<std::complex<double>, 10>; |
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488 | template struct bench_2<std::complex<double>, 30>; |
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489 | template struct bench_2<std::complex<double>, 100>; |
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490 | #endif |
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491 | #endif |
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