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1 // Copyright (C) 2009-2012 NICTA (www.nicta.com.au)
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2 // Copyright (C) 2009-2012 Conrad Sanderson
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3 // Copyright (C) 2009-2010 Dimitrios Bouzas
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4 //
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5 // This Source Code Form is subject to the terms of the Mozilla Public
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6 // License, v. 2.0. If a copy of the MPL was not distributed with this
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7 // file, You can obtain one at http://mozilla.org/MPL/2.0/.
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8
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9
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10 //! \addtogroup glue_cov
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11 //! @{
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12
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13
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14
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15 template<typename eT>
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16 inline
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17 void
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18 glue_cov::direct_cov(Mat<eT>& out, const Mat<eT>& A, const Mat<eT>& B, const uword norm_type)
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19 {
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20 arma_extra_debug_sigprint();
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21
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22 if(A.is_vec() && B.is_vec())
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23 {
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24 arma_debug_check( (A.n_elem != B.n_elem), "cov(): the number of elements in A and B must match" );
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25
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26 const eT* A_ptr = A.memptr();
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27 const eT* B_ptr = B.memptr();
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28
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29 eT A_acc = eT(0);
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30 eT B_acc = eT(0);
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31 eT out_acc = eT(0);
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32
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33 const uword N = A.n_elem;
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34
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35 for(uword i=0; i<N; ++i)
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36 {
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37 const eT A_tmp = A_ptr[i];
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38 const eT B_tmp = B_ptr[i];
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39
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40 A_acc += A_tmp;
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41 B_acc += B_tmp;
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42
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43 out_acc += A_tmp * B_tmp;
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44 }
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45
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46 out_acc -= (A_acc * B_acc)/eT(N);
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47
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48 const eT norm_val = (norm_type == 0) ? ( (N > 1) ? eT(N-1) : eT(1) ) : eT(N);
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49
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50 out.set_size(1,1);
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51 out[0] = out_acc/norm_val;
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52 }
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53 else
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54 {
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55 arma_debug_assert_mul_size(A, B, true, false, "cov()");
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56
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57 const uword N = A.n_rows;
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58 const eT norm_val = (norm_type == 0) ? ( (N > 1) ? eT(N-1) : eT(1) ) : eT(N);
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59
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60 out = trans(A) * B;
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61 out -= (trans(sum(A)) * sum(B))/eT(N);
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62 out /= norm_val;
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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 template<typename T>
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69 inline
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70 void
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71 glue_cov::direct_cov(Mat< std::complex<T> >& out, const Mat< std::complex<T> >& A, const Mat< std::complex<T> >& B, const uword norm_type)
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72 {
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73 arma_extra_debug_sigprint();
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74
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75 typedef typename std::complex<T> eT;
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76
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77 if(A.is_vec() && B.is_vec())
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78 {
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79 arma_debug_check( (A.n_elem != B.n_elem), "cov(): the number of elements in A and B must match" );
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80
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81 const eT* A_ptr = A.memptr();
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82 const eT* B_ptr = B.memptr();
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83
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84 eT A_acc = eT(0);
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85 eT B_acc = eT(0);
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86 eT out_acc = eT(0);
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87
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88 const uword N = A.n_elem;
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89
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90 for(uword i=0; i<N; ++i)
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91 {
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92 const eT A_tmp = A_ptr[i];
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93 const eT B_tmp = B_ptr[i];
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94
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95 A_acc += A_tmp;
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96 B_acc += B_tmp;
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97
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98 out_acc += std::conj(A_tmp) * B_tmp;
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99 }
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100
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101 out_acc -= (std::conj(A_acc) * B_acc)/eT(N);
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102
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103 const eT norm_val = (norm_type == 0) ? ( (N > 1) ? eT(N-1) : eT(1) ) : eT(N);
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104
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105 out.set_size(1,1);
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106 out[0] = out_acc/norm_val;
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107 }
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108 else
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109 {
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110 arma_debug_assert_mul_size(A, B, true, false, "cov()");
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111
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112 const uword N = A.n_rows;
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113 const eT norm_val = (norm_type == 0) ? ( (N > 1) ? eT(N-1) : eT(1) ) : eT(N);
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114
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115 out = trans(A) * B; // out = strans(conj(A)) * B;
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116 out -= (trans(sum(A)) * sum(B))/eT(N); // out -= (strans(conj(sum(A))) * sum(B))/eT(N);
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117 out /= norm_val;
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118 }
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119 }
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120
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121
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122
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123 template<typename T1, typename T2>
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124 inline
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125 void
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126 glue_cov::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_cov>& X)
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127 {
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128 arma_extra_debug_sigprint();
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129
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130 typedef typename T1::elem_type eT;
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131
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132 const unwrap_check<T1> A_tmp(X.A, out);
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133 const unwrap_check<T2> B_tmp(X.B, out);
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134
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135 const Mat<eT>& A = A_tmp.M;
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136 const Mat<eT>& B = B_tmp.M;
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137
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138 const uword norm_type = X.aux_uword;
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139
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140 if(&A != &B)
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141 {
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142 glue_cov::direct_cov(out, A, B, norm_type);
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143 }
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144 else
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145 {
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146 op_cov::direct_cov(out, A, norm_type);
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147 }
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148
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149 }
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150
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151
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152
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153 //! @}
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