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1 // Copyright (C) 2008-2012 NICTA (www.nicta.com.au)
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2 // Copyright (C) 2008-2012 Conrad Sanderson
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3 //
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4 // This Source Code Form is subject to the terms of the Mozilla Public
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5 // License, v. 2.0. If a copy of the MPL was not distributed with this
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6 // file, You can obtain one at http://mozilla.org/MPL/2.0/.
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7
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8
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9 //! \addtogroup op_min
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10 //! @{
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11
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12
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13
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14 //! \brief
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15 //! For each row or for each column, find the minimum value.
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16 //! The result is stored in a dense matrix that has either one column or one row.
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17 //! The dimension, for which the minima are found, is set via the min() function.
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18 template<typename T1>
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19 inline void op_min::apply(Mat<typename T1::elem_type>& out, const Op<T1,op_min>& in)
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20 {
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21 arma_extra_debug_sigprint();
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22
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23 typedef typename T1::elem_type eT;
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24
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25 const unwrap_check<T1> tmp(in.m, out);
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26 const Mat<eT>& X = tmp.M;
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27
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28 const uword dim = in.aux_uword_a;
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29 arma_debug_check( (dim > 1), "min(): incorrect usage. dim must be 0 or 1");
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30
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31 const uword X_n_rows = X.n_rows;
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32 const uword X_n_cols = X.n_cols;
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33
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34 if(dim == 0) // min in each column
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35 {
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36 arma_extra_debug_print("op_min::apply(), dim = 0");
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37
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38 arma_debug_check( (X_n_rows == 0), "min(): given object has zero rows" );
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39
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40 out.set_size(1, X_n_cols);
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41
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42 eT* out_mem = out.memptr();
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43
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44 for(uword col=0; col<X_n_cols; ++col)
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45 {
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46 out_mem[col] = op_min::direct_min( X.colptr(col), X_n_rows );
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47 }
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48 }
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49 else
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50 if(dim == 1) // min in each row
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51 {
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52 arma_extra_debug_print("op_min::apply(), dim = 1");
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53
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54 arma_debug_check( (X_n_cols == 0), "min(): given object has zero columns" );
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55
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56 out.set_size(X_n_rows, 1);
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57
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58 eT* out_mem = out.memptr();
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59
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60 for(uword row=0; row<X_n_rows; ++row)
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61 {
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62 out_mem[row] = op_min::direct_min( X, row );
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63 }
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64 }
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65 }
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66
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67
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68
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69 template<typename eT>
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70 arma_pure
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71 inline
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72 eT
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73 op_min::direct_min(const eT* const X, const uword n_elem)
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74 {
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75 arma_extra_debug_sigprint();
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76
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77 eT min_val = priv::most_pos<eT>();
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78
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79 uword i,j;
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80 for(i=0, j=1; j<n_elem; i+=2, j+=2)
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81 {
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82 const eT X_i = X[i];
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83 const eT X_j = X[j];
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84
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85 if(X_i < min_val) { min_val = X_i; }
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86 if(X_j < min_val) { min_val = X_j; }
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87 }
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88
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89 if(i < n_elem)
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90 {
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91 const eT X_i = X[i];
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92
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93 if(X_i < min_val) { min_val = X_i; }
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94 }
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95
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96 return min_val;
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97 }
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98
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99
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100
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101 template<typename eT>
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102 inline
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103 eT
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104 op_min::direct_min(const eT* const X, const uword n_elem, uword& index_of_min_val)
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105 {
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106 arma_extra_debug_sigprint();
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107
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108 eT min_val = priv::most_pos<eT>();
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109
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110 uword best_index = 0;
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111
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112 uword i,j;
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113 for(i=0, j=1; j<n_elem; i+=2, j+=2)
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114 {
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115 const eT X_i = X[i];
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116 const eT X_j = X[j];
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117
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118 if(X_i < min_val)
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119 {
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120 min_val = X_i;
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121 best_index = i;
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122 }
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123
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124 if(X_j < min_val)
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125 {
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126 min_val = X_j;
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127 best_index = j;
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128 }
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129 }
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130
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131 if(i < n_elem)
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132 {
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133 const eT X_i = X[i];
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134
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135 if(X_i < min_val)
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136 {
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137 min_val = X_i;
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138 best_index = i;
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139 }
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140 }
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141
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142 index_of_min_val = best_index;
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143
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144 return min_val;
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145 }
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146
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147
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148
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149 template<typename eT>
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150 inline
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151 eT
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152 op_min::direct_min(const Mat<eT>& X, const uword row)
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153 {
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154 arma_extra_debug_sigprint();
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155
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156 const uword X_n_cols = X.n_cols;
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157
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158 eT min_val = priv::most_pos<eT>();
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159
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160 uword i,j;
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161 for(i=0, j=1; j < X_n_cols; i+=2, j+=2)
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162 {
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163 const eT tmp_i = X.at(row,i);
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164 const eT tmp_j = X.at(row,j);
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165
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166 if(tmp_i < min_val) { min_val = tmp_i; }
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167 if(tmp_j < min_val) { min_val = tmp_j; }
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168 }
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169
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170 if(i < X_n_cols)
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171 {
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172 const eT tmp_i = X.at(row,i);
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173
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174 if(tmp_i < min_val) { min_val = tmp_i; }
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175 }
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176
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177 return min_val;
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178 }
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179
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180
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181
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182 template<typename eT>
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183 inline
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184 eT
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185 op_min::min(const subview<eT>& X)
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186 {
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187 arma_extra_debug_sigprint();
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188
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189 arma_debug_check( (X.n_elem == 0), "min(): given object has no elements" );
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190
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191 const uword X_n_rows = X.n_rows;
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192 const uword X_n_cols = X.n_cols;
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193
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194 eT min_val = priv::most_pos<eT>();
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195
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196 if(X_n_rows == 1)
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197 {
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198 const Mat<eT>& A = X.m;
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199
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200 const uword start_row = X.aux_row1;
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201 const uword start_col = X.aux_col1;
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202
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203 const uword end_col_p1 = start_col + X_n_cols;
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204
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205 uword i,j;
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206 for(i=start_col, j=start_col+1; j < end_col_p1; i+=2, j+=2)
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207 {
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208 const eT tmp_i = A.at(start_row, i);
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209 const eT tmp_j = A.at(start_row, j);
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210
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211 if(tmp_i < min_val) { min_val = tmp_i; }
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212 if(tmp_j < min_val) { min_val = tmp_j; }
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213 }
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214
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215 if(i < end_col_p1)
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216 {
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217 const eT tmp_i = A.at(start_row, i);
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218
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219 if(tmp_i < min_val) { min_val = tmp_i; }
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220 }
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221 }
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222 else
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223 {
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224 for(uword col=0; col < X_n_cols; ++col)
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225 {
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226 eT tmp_val = op_min::direct_min(X.colptr(col), X_n_rows);
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227
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228 if(tmp_val < min_val) { min_val = tmp_val; }
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229 }
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230 }
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231
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232 return min_val;
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233 }
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234
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235
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236
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237 template<typename T1>
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238 inline
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239 typename arma_not_cx<typename T1::elem_type>::result
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240 op_min::min(const Base<typename T1::elem_type,T1>& X)
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241 {
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242 arma_extra_debug_sigprint();
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243
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244 typedef typename T1::elem_type eT;
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245
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246 const Proxy<T1> P(X.get_ref());
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247
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248 const uword n_elem = P.get_n_elem();
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249
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250 arma_debug_check( (n_elem == 0), "min(): given object has no elements" );
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251
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252 eT min_val = priv::most_pos<eT>();
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253
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254 if(Proxy<T1>::prefer_at_accessor == false)
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255 {
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256 typedef typename Proxy<T1>::ea_type ea_type;
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257
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258 ea_type A = P.get_ea();
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259
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260 uword i,j;
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261
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262 for(i=0, j=1; j<n_elem; i+=2, j+=2)
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263 {
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264 const eT tmp_i = A[i];
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265 const eT tmp_j = A[j];
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266
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267 if(tmp_i < min_val) { min_val = tmp_i; }
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268 if(tmp_j < min_val) { min_val = tmp_j; }
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269 }
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270
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271 if(i < n_elem)
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272 {
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273 const eT tmp_i = A[i];
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274
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275 if(tmp_i < min_val) { min_val = tmp_i; }
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276 }
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277 }
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278 else
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279 {
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280 const uword n_rows = P.get_n_rows();
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281 const uword n_cols = P.get_n_cols();
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282
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283 if(n_rows == 1)
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284 {
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285 uword i,j;
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286 for(i=0, j=1; j < n_cols; i+=2, j+=2)
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287 {
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288 const eT tmp_i = P.at(0,i);
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289 const eT tmp_j = P.at(0,j);
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290
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291 if(tmp_i < min_val) { min_val = tmp_i; }
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292 if(tmp_j < min_val) { min_val = tmp_j; }
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293 }
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294
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295 if(i < n_cols)
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296 {
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297 const eT tmp_i = P.at(0,i);
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298
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299 if(tmp_i < min_val) { min_val = tmp_i; }
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300 }
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301 }
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302 else
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303 {
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304 for(uword col=0; col < n_cols; ++col)
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305 {
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306 uword i,j;
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307 for(i=0, j=1; j < n_rows; i+=2, j+=2)
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308 {
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309 const eT tmp_i = P.at(i,col);
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310 const eT tmp_j = P.at(j,col);
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311
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312 if(tmp_i < min_val) { min_val = tmp_i; }
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313 if(tmp_j < min_val) { min_val = tmp_j; }
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314 }
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315
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316 if(i < n_rows)
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317 {
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318 const eT tmp_i = P.at(i,col);
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319
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320 if(tmp_i < min_val) { min_val = tmp_i; }
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321 }
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322 }
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323 }
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324 }
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325
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326 return min_val;
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327 }
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328
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329
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330
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331 template<typename T>
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332 inline
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333 std::complex<T>
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334 op_min::direct_min(const std::complex<T>* const X, const uword n_elem)
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335 {
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336 arma_extra_debug_sigprint();
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337
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338 uword index = 0;
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339 T min_val = priv::most_pos<T>();
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340
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341 for(uword i=0; i<n_elem; ++i)
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342 {
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343 const T tmp_val = std::abs(X[i]);
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344
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345 if(tmp_val < min_val)
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346 {
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347 min_val = tmp_val;
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348 index = i;
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349 }
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350 }
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351
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352 return X[index];
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353 }
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354
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355
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356
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357 template<typename T>
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358 inline
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359 std::complex<T>
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360 op_min::direct_min(const std::complex<T>* const X, const uword n_elem, uword& index_of_min_val)
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361 {
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362 arma_extra_debug_sigprint();
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363
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364 uword index = 0;
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365 T min_val = priv::most_pos<T>();
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366
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367 for(uword i=0; i<n_elem; ++i)
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368 {
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369 const T tmp_val = std::abs(X[i]);
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370
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371 if(tmp_val < min_val)
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372 {
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373 min_val = tmp_val;
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374 index = i;
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375 }
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376 }
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377
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378 index_of_min_val = index;
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379
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380 return X[index];
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381 }
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382
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383
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384
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385 template<typename T>
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386 inline
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387 std::complex<T>
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388 op_min::direct_min(const Mat< std::complex<T> >& X, const uword row)
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389 {
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390 arma_extra_debug_sigprint();
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391
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392 const uword X_n_cols = X.n_cols;
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393
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394 uword index = 0;
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395 T min_val = priv::most_pos<T>();
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396
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397 for(uword col=0; col<X_n_cols; ++col)
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398 {
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399 const T tmp_val = std::abs(X.at(row,col));
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400
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401 if(tmp_val < min_val)
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402 {
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403 min_val = tmp_val;
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404 index = col;
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405 }
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406 }
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407
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408 return X.at(row,index);
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409 }
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410
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411
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412
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413 template<typename T>
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414 inline
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415 std::complex<T>
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416 op_min::min(const subview< std::complex<T> >& X)
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417 {
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418 arma_extra_debug_sigprint();
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419
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420 arma_debug_check( (X.n_elem == 0), "min(): given object has no elements" );
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421
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422 const Mat< std::complex<T> >& A = X.m;
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423
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424 const uword X_n_rows = X.n_rows;
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425 const uword X_n_cols = X.n_cols;
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426
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427 const uword start_row = X.aux_row1;
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428 const uword start_col = X.aux_col1;
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429
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430 const uword end_row_p1 = start_row + X_n_rows;
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431 const uword end_col_p1 = start_col + X_n_cols;
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432
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433 T min_val = priv::most_pos<T>();
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434
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435 uword best_row = 0;
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436 uword best_col = 0;
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437
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438 if(X_n_rows == 1)
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439 {
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440 best_col = 0;
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441
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442 for(uword col=start_col; col < end_col_p1; ++col)
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443 {
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444 const T tmp_val = std::abs( A.at(start_row, col) );
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445
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446 if(tmp_val < min_val)
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447 {
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448 min_val = tmp_val;
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449 best_col = col;
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450 }
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451 }
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452
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453 best_row = start_row;
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454 }
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455 else
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456 {
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457 for(uword col=start_col; col < end_col_p1; ++col)
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458 for(uword row=start_row; row < end_row_p1; ++row)
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459 {
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460 const T tmp_val = std::abs( A.at(row, col) );
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461
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462 if(tmp_val < min_val)
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463 {
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464 min_val = tmp_val;
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465 best_row = row;
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466 best_col = col;
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467 }
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468 }
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469 }
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470
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471 return A.at(best_row, best_col);
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472 }
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473
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474
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475
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476 template<typename T1>
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477 inline
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478 typename arma_cx_only<typename T1::elem_type>::result
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479 op_min::min(const Base<typename T1::elem_type,T1>& X)
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480 {
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481 arma_extra_debug_sigprint();
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482
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483 typedef typename T1::elem_type eT;
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484 typedef typename get_pod_type<eT>::result T;
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485
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486 const Proxy<T1> P(X.get_ref());
|
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487
|
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488 const uword n_elem = P.get_n_elem();
|
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489
|
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490 arma_debug_check( (n_elem == 0), "min(): given object has no elements" );
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491
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492 T min_val = priv::most_pos<T>();
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493
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494 if(Proxy<T1>::prefer_at_accessor == false)
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495 {
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496 typedef typename Proxy<T1>::ea_type ea_type;
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497
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498 ea_type A = P.get_ea();
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499
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500 uword index = 0;
|
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501
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502 for(uword i=0; i<n_elem; ++i)
|
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503 {
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504 const T tmp = std::abs(A[i]);
|
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|
505
|
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506 if(tmp < min_val)
|
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|
507 {
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508 min_val = tmp;
|
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509 index = i;
|
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510 }
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511 }
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512
|
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513 return( A[index] );
|
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|
514 }
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515 else
|
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516 {
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517 const uword n_rows = P.get_n_rows();
|
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518 const uword n_cols = P.get_n_cols();
|
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519
|
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520 uword best_row = 0;
|
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|
521 uword best_col = 0;
|
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|
522
|
Chris@49
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523 if(n_rows == 1)
|
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524 {
|
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525 for(uword col=0; col < n_cols; ++col)
|
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|
526 {
|
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|
527 const T tmp = std::abs(P.at(0,col));
|
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|
528
|
Chris@49
|
529 if(tmp < min_val)
|
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|
530 {
|
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|
531 min_val = tmp;
|
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|
532 best_col = col;
|
Chris@49
|
533 }
|
Chris@49
|
534 }
|
Chris@49
|
535 }
|
Chris@49
|
536 else
|
Chris@49
|
537 {
|
Chris@49
|
538 for(uword col=0; col < n_cols; ++col)
|
Chris@49
|
539 for(uword row=0; row < n_rows; ++row)
|
Chris@49
|
540 {
|
Chris@49
|
541 const T tmp = std::abs(P.at(row,col));
|
Chris@49
|
542
|
Chris@49
|
543 if(tmp < min_val)
|
Chris@49
|
544 {
|
Chris@49
|
545 min_val = tmp;
|
Chris@49
|
546
|
Chris@49
|
547 best_row = row;
|
Chris@49
|
548 best_col = col;
|
Chris@49
|
549 }
|
Chris@49
|
550 }
|
Chris@49
|
551 }
|
Chris@49
|
552
|
Chris@49
|
553 return P.at(best_row, best_col);
|
Chris@49
|
554 }
|
Chris@49
|
555 }
|
Chris@49
|
556
|
Chris@49
|
557
|
Chris@49
|
558
|
Chris@49
|
559 //! @}
|