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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_max
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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 maximum 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 maxima are found, is set via the max() function.
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18 template<typename T1>
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19 inline
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20 void
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21 op_max::apply(Mat<typename T1::elem_type>& out, const Op<T1,op_max>& in)
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22 {
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23 arma_extra_debug_sigprint();
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24
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25 typedef typename T1::elem_type eT;
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26
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27 const unwrap_check<T1> tmp(in.m, out);
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28 const Mat<eT>& X = tmp.M;
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29
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30 const uword dim = in.aux_uword_a;
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31 arma_debug_check( (dim > 1), "max(): incorrect usage. dim must be 0 or 1");
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32
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33 const uword X_n_rows = X.n_rows;
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34 const uword X_n_cols = X.n_cols;
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35
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36 if(dim == 0)
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37 {
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38 arma_extra_debug_print("op_max::apply(), dim = 0");
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39
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40 arma_debug_check( (X_n_rows == 0), "max(): given object has zero rows" );
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41
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42 out.set_size(1, X_n_cols);
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43
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44 eT* out_mem = out.memptr();
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45
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46 for(uword col=0; col<X_n_cols; ++col)
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47 {
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48 out_mem[col] = op_max::direct_max( X.colptr(col), X_n_rows );
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49 }
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50 }
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51 else
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52 if(dim == 1)
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53 {
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54 arma_extra_debug_print("op_max::apply(), dim = 1");
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55
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56 arma_debug_check( (X_n_cols == 0), "max(): given object has zero columns" );
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57
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58 out.set_size(X_n_rows, 1);
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59
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60 eT* out_mem = out.memptr();
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61
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62 for(uword row=0; row<X_n_rows; ++row)
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63 {
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64 out_mem[row] = op_max::direct_max( X, row );
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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
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70
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71 template<typename eT>
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72 arma_pure
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73 inline
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74 eT
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75 op_max::direct_max(const eT* const X, const uword n_elem)
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76 {
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77 arma_extra_debug_sigprint();
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78
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79 eT max_val = priv::most_neg<eT>();
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80
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81 uword i,j;
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82
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83 for(i=0, j=1; j<n_elem; i+=2, j+=2)
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84 {
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85 const eT X_i = X[i];
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86 const eT X_j = X[j];
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87
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88 if(X_i > max_val) { max_val = X_i; }
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89 if(X_j > max_val) { max_val = X_j; }
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90 }
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91
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92
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93 if(i < n_elem)
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94 {
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95 const eT X_i = X[i];
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96
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97 if(X_i > max_val) { max_val = X_i; }
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98 }
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99
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100 return max_val;
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101 }
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102
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103
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104
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105 template<typename eT>
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106 inline
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107 eT
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108 op_max::direct_max(const eT* const X, const uword n_elem, uword& index_of_max_val)
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109 {
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110 arma_extra_debug_sigprint();
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111
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112 eT max_val = priv::most_neg<eT>();
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113
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114 uword best_index = 0;
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115
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116 uword i,j;
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117
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118 for(i=0, j=1; j<n_elem; i+=2, j+=2)
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119 {
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120 const eT X_i = X[i];
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121 const eT X_j = X[j];
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122
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123 if(X_i > max_val)
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124 {
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125 max_val = X_i;
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126 best_index = i;
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127 }
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128
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129 if(X_j > max_val)
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130 {
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131 max_val = X_j;
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132 best_index = j;
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133 }
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134 }
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135
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136
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137 if(i < n_elem)
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138 {
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139 const eT X_i = X[i];
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140
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141 if(X_i > max_val)
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142 {
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143 max_val = X_i;
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144 best_index = i;
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145 }
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146 }
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147
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148 index_of_max_val = best_index;
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149
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150 return max_val;
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151 }
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152
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153
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154
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155 template<typename eT>
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156 inline
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157 eT
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158 op_max::direct_max(const Mat<eT>& X, const uword row)
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159 {
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160 arma_extra_debug_sigprint();
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161
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162 const uword X_n_cols = X.n_cols;
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163
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164 eT max_val = priv::most_neg<eT>();
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165
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166 uword i,j;
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167 for(i=0, j=1; j < X_n_cols; i+=2, j+=2)
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168 {
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169 const eT tmp_i = X.at(row,i);
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170 const eT tmp_j = X.at(row,j);
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171
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172 if(tmp_i > max_val) { max_val = tmp_i; }
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173 if(tmp_j > max_val) { max_val = tmp_j; }
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174 }
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175
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176 if(i < X_n_cols)
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177 {
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178 const eT tmp_i = X.at(row,i);
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179
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180 if(tmp_i > max_val) { max_val = tmp_i; }
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181 }
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182
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183 return max_val;
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184 }
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185
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186
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187
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188 template<typename eT>
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189 inline
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190 eT
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191 op_max::max(const subview<eT>& X)
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192 {
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193 arma_extra_debug_sigprint();
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194
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195 arma_debug_check( (X.n_elem == 0), "max(): given object has no elements" );
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196
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197 const uword X_n_rows = X.n_rows;
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198 const uword X_n_cols = X.n_cols;
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199
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200 eT max_val = priv::most_neg<eT>();
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201
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202 if(X_n_rows == 1)
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203 {
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204 const Mat<eT>& A = X.m;
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205
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206 const uword start_row = X.aux_row1;
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207 const uword start_col = X.aux_col1;
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208
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209 const uword end_col_p1 = start_col + X_n_cols;
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210
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211 uword i,j;
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212 for(i=start_col, j=start_col+1; j < end_col_p1; i+=2, j+=2)
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213 {
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214 const eT tmp_i = A.at(start_row, i);
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215 const eT tmp_j = A.at(start_row, j);
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216
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217 if(tmp_i > max_val) { max_val = tmp_i; }
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218 if(tmp_j > max_val) { max_val = tmp_j; }
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219 }
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220
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221 if(i < end_col_p1)
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222 {
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223 const eT tmp_i = A.at(start_row, i);
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224
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225 if(tmp_i > max_val) { max_val = tmp_i; }
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226 }
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227 }
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228 else
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229 {
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230 for(uword col=0; col < X_n_cols; ++col)
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231 {
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232 eT tmp_val = op_max::direct_max(X.colptr(col), X_n_rows);
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233
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234 if(tmp_val > max_val) { max_val = tmp_val; }
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235 }
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236 }
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237
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238 return max_val;
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239 }
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240
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241
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242
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243 template<typename T1>
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244 inline
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245 typename arma_not_cx<typename T1::elem_type>::result
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246 op_max::max(const Base<typename T1::elem_type,T1>& X)
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247 {
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248 arma_extra_debug_sigprint();
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249
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250 typedef typename T1::elem_type eT;
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251
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252 const Proxy<T1> P(X.get_ref());
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253
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254 const uword n_elem = P.get_n_elem();
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255
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256 arma_debug_check( (n_elem == 0), "max(): given object has no elements" );
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257
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258 eT max_val = priv::most_neg<eT>();
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259
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260 if(Proxy<T1>::prefer_at_accessor == false)
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261 {
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262 typedef typename Proxy<T1>::ea_type ea_type;
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263
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264 ea_type A = P.get_ea();
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265
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266 uword i,j;
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267
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268 for(i=0, j=1; j<n_elem; i+=2, j+=2)
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269 {
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270 const eT tmp_i = A[i];
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271 const eT tmp_j = A[j];
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272
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273 if(tmp_i > max_val) { max_val = tmp_i; }
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274 if(tmp_j > max_val) { max_val = tmp_j; }
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275 }
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276
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277 if(i < n_elem)
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278 {
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279 const eT tmp_i = A[i];
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280
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281 if(tmp_i > max_val) { max_val = tmp_i; }
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282 }
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283 }
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284 else
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285 {
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286 const uword n_rows = P.get_n_rows();
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287 const uword n_cols = P.get_n_cols();
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288
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289 if(n_rows == 1)
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290 {
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291 uword i,j;
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292 for(i=0, j=1; j < n_cols; i+=2, j+=2)
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293 {
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294 const eT tmp_i = P.at(0,i);
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295 const eT tmp_j = P.at(0,j);
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296
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297 if(tmp_i > max_val) { max_val = tmp_i; }
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298 if(tmp_j > max_val) { max_val = tmp_j; }
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299 }
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300
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301 if(i < n_cols)
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302 {
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303 const eT tmp_i = P.at(0,i);
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304
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305 if(tmp_i > max_val) { max_val = tmp_i; }
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306 }
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307 }
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308 else
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309 {
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310 for(uword col=0; col < n_cols; ++col)
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311 {
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312 uword i,j;
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313 for(i=0, j=1; j < n_rows; i+=2, j+=2)
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314 {
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315 const eT tmp_i = P.at(i,col);
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316 const eT tmp_j = P.at(j,col);
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317
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318 if(tmp_i > max_val) { max_val = tmp_i; }
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319 if(tmp_j > max_val) { max_val = tmp_j; }
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320 }
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321
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322 if(i < n_rows)
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323 {
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324 const eT tmp_i = P.at(i,col);
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325
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326 if(tmp_i > max_val) { max_val = tmp_i; }
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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
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332 return max_val;
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333 }
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334
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335
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336
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337 template<typename T>
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338 inline
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339 std::complex<T>
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340 op_max::direct_max(const std::complex<T>* const X, const uword n_elem)
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341 {
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342 arma_extra_debug_sigprint();
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343
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344 uword index = 0;
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345 T max_val = priv::most_neg<T>();
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346
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347 for(uword i=0; i<n_elem; ++i)
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348 {
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349 const T tmp_val = std::abs(X[i]);
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350
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351 if(tmp_val > max_val)
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352 {
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353 max_val = tmp_val;
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354 index = i;
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355 }
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356 }
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357
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358 return X[index];
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359 }
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360
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361
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362
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363 template<typename T>
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364 inline
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365 std::complex<T>
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366 op_max::direct_max(const std::complex<T>* const X, const uword n_elem, uword& index_of_max_val)
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367 {
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368 arma_extra_debug_sigprint();
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369
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370 uword index = 0;
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371 T max_val = priv::most_neg<T>();
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372
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373 for(uword i=0; i<n_elem; ++i)
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374 {
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375 const T tmp_val = std::abs(X[i]);
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376
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377 if(tmp_val > max_val)
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378 {
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379 max_val = tmp_val;
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380 index = i;
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381 }
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382 }
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383
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384 index_of_max_val = index;
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385
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386 return X[index];
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387 }
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388
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389
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390
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391 template<typename T>
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392 inline
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393 std::complex<T>
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394 op_max::direct_max(const Mat< std::complex<T> >& X, const uword row)
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395 {
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Chris@49
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396 arma_extra_debug_sigprint();
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397
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398 const uword X_n_cols = X.n_cols;
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399
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400 uword index = 0;
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401 T max_val = priv::most_neg<T>();
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402
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403 for(uword col=0; col<X_n_cols; ++col)
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404 {
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405 const T tmp_val = std::abs(X.at(row,col));
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406
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407 if(tmp_val > max_val)
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408 {
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409 max_val = tmp_val;
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410 index = col;
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Chris@49
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411 }
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Chris@49
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412 }
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413
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414 return X.at(row,index);
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Chris@49
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415 }
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416
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417
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418
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419 template<typename T>
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420 inline
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Chris@49
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421 std::complex<T>
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Chris@49
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422 op_max::max(const subview< std::complex<T> >& X)
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Chris@49
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423 {
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Chris@49
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424 arma_extra_debug_sigprint();
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425
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426 arma_debug_check( (X.n_elem == 0), "max(): given object has no elements" );
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427
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428 const Mat< std::complex<T> >& A = X.m;
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429
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430 const uword X_n_rows = X.n_rows;
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431 const uword X_n_cols = X.n_cols;
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432
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433 const uword start_row = X.aux_row1;
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434 const uword start_col = X.aux_col1;
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435
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436 const uword end_row_p1 = start_row + X_n_rows;
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437 const uword end_col_p1 = start_col + X_n_cols;
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438
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Chris@49
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439 T max_val = priv::most_neg<T>();
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440
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441 uword best_row = 0;
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442 uword best_col = 0;
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Chris@49
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443
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Chris@49
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444 if(X_n_rows == 1)
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Chris@49
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445 {
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446 best_col = 0;
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447
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Chris@49
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448 for(uword col=start_col; col < end_col_p1; ++col)
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Chris@49
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449 {
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450 const T tmp_val = std::abs( A.at(start_row, col) );
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Chris@49
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451
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Chris@49
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452 if(tmp_val > max_val)
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Chris@49
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453 {
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Chris@49
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454 max_val = tmp_val;
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Chris@49
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455 best_col = col;
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Chris@49
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456 }
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Chris@49
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457 }
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Chris@49
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458
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Chris@49
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459 best_row = start_row;
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Chris@49
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460 }
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Chris@49
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461 else
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Chris@49
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462 {
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Chris@49
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463 for(uword col=start_col; col < end_col_p1; ++col)
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464 for(uword row=start_row; row < end_row_p1; ++row)
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Chris@49
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465 {
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466 const T tmp_val = std::abs( A.at(row, col) );
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Chris@49
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467
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Chris@49
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468 if(tmp_val > max_val)
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Chris@49
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469 {
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Chris@49
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470 max_val = tmp_val;
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Chris@49
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471 best_row = row;
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Chris@49
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472 best_col = col;
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Chris@49
|
473 }
|
Chris@49
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474 }
|
Chris@49
|
475 }
|
Chris@49
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476
|
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477 return A.at(best_row, best_col);
|
Chris@49
|
478 }
|
Chris@49
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479
|
Chris@49
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480
|
Chris@49
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481
|
Chris@49
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482 template<typename T1>
|
Chris@49
|
483 inline
|
Chris@49
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484 typename arma_cx_only<typename T1::elem_type>::result
|
Chris@49
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485 op_max::max(const Base<typename T1::elem_type,T1>& X)
|
Chris@49
|
486 {
|
Chris@49
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487 arma_extra_debug_sigprint();
|
Chris@49
|
488
|
Chris@49
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489 typedef typename T1::elem_type eT;
|
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490 typedef typename get_pod_type<eT>::result T;
|
Chris@49
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491
|
Chris@49
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492 const Proxy<T1> P(X.get_ref());
|
Chris@49
|
493
|
Chris@49
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494 const uword n_elem = P.get_n_elem();
|
Chris@49
|
495
|
Chris@49
|
496 arma_debug_check( (n_elem == 0), "max(): given object has no elements" );
|
Chris@49
|
497
|
Chris@49
|
498 T max_val = priv::most_neg<T>();
|
Chris@49
|
499
|
Chris@49
|
500 if(Proxy<T1>::prefer_at_accessor == false)
|
Chris@49
|
501 {
|
Chris@49
|
502 typedef typename Proxy<T1>::ea_type ea_type;
|
Chris@49
|
503
|
Chris@49
|
504 ea_type A = P.get_ea();
|
Chris@49
|
505
|
Chris@49
|
506 uword index = 0;
|
Chris@49
|
507
|
Chris@49
|
508 for(uword i=0; i<n_elem; ++i)
|
Chris@49
|
509 {
|
Chris@49
|
510 const T tmp = std::abs(A[i]);
|
Chris@49
|
511
|
Chris@49
|
512 if(tmp > max_val)
|
Chris@49
|
513 {
|
Chris@49
|
514 max_val = tmp;
|
Chris@49
|
515 index = i;
|
Chris@49
|
516 }
|
Chris@49
|
517 }
|
Chris@49
|
518
|
Chris@49
|
519 return( A[index] );
|
Chris@49
|
520 }
|
Chris@49
|
521 else
|
Chris@49
|
522 {
|
Chris@49
|
523 const uword n_rows = P.get_n_rows();
|
Chris@49
|
524 const uword n_cols = P.get_n_cols();
|
Chris@49
|
525
|
Chris@49
|
526 uword best_row = 0;
|
Chris@49
|
527 uword best_col = 0;
|
Chris@49
|
528
|
Chris@49
|
529 if(n_rows == 1)
|
Chris@49
|
530 {
|
Chris@49
|
531 for(uword col=0; col < n_cols; ++col)
|
Chris@49
|
532 {
|
Chris@49
|
533 const T tmp = std::abs(P.at(0,col));
|
Chris@49
|
534
|
Chris@49
|
535 if(tmp > max_val)
|
Chris@49
|
536 {
|
Chris@49
|
537 max_val = tmp;
|
Chris@49
|
538 best_col = col;
|
Chris@49
|
539 }
|
Chris@49
|
540 }
|
Chris@49
|
541 }
|
Chris@49
|
542 else
|
Chris@49
|
543 {
|
Chris@49
|
544 for(uword col=0; col < n_cols; ++col)
|
Chris@49
|
545 for(uword row=0; row < n_rows; ++row)
|
Chris@49
|
546 {
|
Chris@49
|
547 const T tmp = std::abs(P.at(row,col));
|
Chris@49
|
548
|
Chris@49
|
549 if(tmp > max_val)
|
Chris@49
|
550 {
|
Chris@49
|
551 max_val = tmp;
|
Chris@49
|
552
|
Chris@49
|
553 best_row = row;
|
Chris@49
|
554 best_col = col;
|
Chris@49
|
555 }
|
Chris@49
|
556 }
|
Chris@49
|
557 }
|
Chris@49
|
558
|
Chris@49
|
559 return P.at(best_row, best_col);
|
Chris@49
|
560 }
|
Chris@49
|
561 }
|
Chris@49
|
562
|
Chris@49
|
563
|
Chris@49
|
564
|
Chris@49
|
565 //! @}
|