annotate armadillo-3.900.4/include/armadillo_bits/glue_cor_meat.hpp @ 84:55a047986812 tip

Update library URI so as not to be document-local
author Chris Cannam
date Wed, 22 Apr 2020 14:21:57 +0100
parents 1ec0e2823891
children
rev   line source
Chris@49 1 // Copyright (C) 2009-2012 NICTA (www.nicta.com.au)
Chris@49 2 // Copyright (C) 2009-2012 Conrad Sanderson
Chris@49 3 // Copyright (C) 2009-2010 Dimitrios Bouzas
Chris@49 4 //
Chris@49 5 // This Source Code Form is subject to the terms of the Mozilla Public
Chris@49 6 // License, v. 2.0. If a copy of the MPL was not distributed with this
Chris@49 7 // file, You can obtain one at http://mozilla.org/MPL/2.0/.
Chris@49 8
Chris@49 9
Chris@49 10 //! \addtogroup glue_cor
Chris@49 11 //! @{
Chris@49 12
Chris@49 13
Chris@49 14
Chris@49 15 template<typename eT>
Chris@49 16 inline
Chris@49 17 void
Chris@49 18 glue_cor::direct_cor(Mat<eT>& out, const Mat<eT>& A, const Mat<eT>& B, const uword norm_type)
Chris@49 19 {
Chris@49 20 arma_extra_debug_sigprint();
Chris@49 21
Chris@49 22 if(A.is_empty() || B.is_empty() )
Chris@49 23 {
Chris@49 24 out.reset();
Chris@49 25 return;
Chris@49 26 }
Chris@49 27
Chris@49 28 if(A.is_vec() && B.is_vec())
Chris@49 29 {
Chris@49 30 arma_debug_check( (A.n_elem != B.n_elem), "cor(): the number of elements in the two vectors must match" );
Chris@49 31
Chris@49 32 const eT* A_ptr = A.memptr();
Chris@49 33 const eT* B_ptr = B.memptr();
Chris@49 34
Chris@49 35 eT A_acc = eT(0);
Chris@49 36 eT B_acc = eT(0);
Chris@49 37 eT out_acc = eT(0);
Chris@49 38
Chris@49 39 const uword N = A.n_elem;
Chris@49 40
Chris@49 41 for(uword i=0; i<N; ++i)
Chris@49 42 {
Chris@49 43 const eT A_tmp = A_ptr[i];
Chris@49 44 const eT B_tmp = B_ptr[i];
Chris@49 45
Chris@49 46 A_acc += A_tmp;
Chris@49 47 B_acc += B_tmp;
Chris@49 48
Chris@49 49 out_acc += A_tmp * B_tmp;
Chris@49 50 }
Chris@49 51
Chris@49 52 out_acc -= (A_acc * B_acc)/eT(N);
Chris@49 53
Chris@49 54 const eT norm_val = (norm_type == 0) ? ( (N > 1) ? eT(N-1) : eT(1) ) : eT(N);
Chris@49 55
Chris@49 56 out.set_size(1,1);
Chris@49 57 out[0] = out_acc/norm_val;
Chris@49 58
Chris@49 59 const Mat<eT> stddev_A = (A.n_rows == 1) ? Mat<eT>(stddev(trans(A))) : Mat<eT>(stddev(A));
Chris@49 60 const Mat<eT> stddev_B = (B.n_rows == 1) ? Mat<eT>(stddev(trans(B))) : Mat<eT>(stddev(B));
Chris@49 61
Chris@49 62 out /= stddev_A * stddev_B;
Chris@49 63 }
Chris@49 64 else
Chris@49 65 {
Chris@49 66 arma_debug_assert_mul_size(A, B, true, false, "cor()");
Chris@49 67
Chris@49 68 const uword N = A.n_rows;
Chris@49 69 const eT norm_val = (norm_type == 0) ? ( (N > 1) ? eT(N-1) : eT(1) ) : eT(N);
Chris@49 70
Chris@49 71 out = trans(A) * B;
Chris@49 72 out -= (trans(sum(A)) * sum(B))/eT(N);
Chris@49 73 out /= norm_val;
Chris@49 74 out /= trans(stddev(A)) * stddev(B);
Chris@49 75 }
Chris@49 76 }
Chris@49 77
Chris@49 78
Chris@49 79
Chris@49 80 template<typename T>
Chris@49 81 inline
Chris@49 82 void
Chris@49 83 glue_cor::direct_cor(Mat< std::complex<T> >& out, const Mat< std::complex<T> >& A, const Mat< std::complex<T> >& B, const uword norm_type)
Chris@49 84 {
Chris@49 85 arma_extra_debug_sigprint();
Chris@49 86
Chris@49 87 typedef typename std::complex<T> eT;
Chris@49 88
Chris@49 89 if(A.is_empty() || B.is_empty() )
Chris@49 90 {
Chris@49 91 out.reset();
Chris@49 92 return;
Chris@49 93 }
Chris@49 94
Chris@49 95 if(A.is_vec() && B.is_vec())
Chris@49 96 {
Chris@49 97 arma_debug_check( (A.n_elem != B.n_elem), "cor(): the number of elements in the two vectors must match" );
Chris@49 98
Chris@49 99 const eT* A_ptr = A.memptr();
Chris@49 100 const eT* B_ptr = B.memptr();
Chris@49 101
Chris@49 102 eT A_acc = eT(0);
Chris@49 103 eT B_acc = eT(0);
Chris@49 104 eT out_acc = eT(0);
Chris@49 105
Chris@49 106 const uword N = A.n_elem;
Chris@49 107
Chris@49 108 for(uword i=0; i<N; ++i)
Chris@49 109 {
Chris@49 110 const eT A_tmp = A_ptr[i];
Chris@49 111 const eT B_tmp = B_ptr[i];
Chris@49 112
Chris@49 113 A_acc += A_tmp;
Chris@49 114 B_acc += B_tmp;
Chris@49 115
Chris@49 116 out_acc += std::conj(A_tmp) * B_tmp;
Chris@49 117 }
Chris@49 118
Chris@49 119 out_acc -= (std::conj(A_acc) * B_acc)/eT(N);
Chris@49 120
Chris@49 121 const eT norm_val = (norm_type == 0) ? ( (N > 1) ? eT(N-1) : eT(1) ) : eT(N);
Chris@49 122
Chris@49 123 out.set_size(1,1);
Chris@49 124 out[0] = out_acc/norm_val;
Chris@49 125
Chris@49 126 const Mat<T> stddev_A = (A.n_rows == 1) ? Mat<T>(stddev(trans(A))) : Mat<T>(stddev(A));
Chris@49 127 const Mat<T> stddev_B = (B.n_rows == 1) ? Mat<T>(stddev(trans(B))) : Mat<T>(stddev(B));
Chris@49 128
Chris@49 129 out /= conv_to< Mat<eT> >::from( stddev_A * stddev_B );
Chris@49 130 }
Chris@49 131 else
Chris@49 132 {
Chris@49 133 arma_debug_assert_mul_size(A, B, true, false, "cor()");
Chris@49 134
Chris@49 135 const uword N = A.n_rows;
Chris@49 136 const eT norm_val = (norm_type == 0) ? ( (N > 1) ? eT(N-1) : eT(1) ) : eT(N);
Chris@49 137
Chris@49 138 out = trans(A) * B; // out = strans(conj(A)) * B;
Chris@49 139 out -= (trans(sum(A)) * sum(B))/eT(N); // out -= (strans(conj(sum(A))) * sum(B))/eT(N);
Chris@49 140 out /= norm_val;
Chris@49 141 out /= conv_to< Mat<eT> >::from( trans(stddev(A)) * stddev(B) );
Chris@49 142 }
Chris@49 143 }
Chris@49 144
Chris@49 145
Chris@49 146
Chris@49 147 template<typename T1, typename T2>
Chris@49 148 inline
Chris@49 149 void
Chris@49 150 glue_cor::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_cor>& X)
Chris@49 151 {
Chris@49 152 arma_extra_debug_sigprint();
Chris@49 153
Chris@49 154 typedef typename T1::elem_type eT;
Chris@49 155
Chris@49 156 const unwrap_check<T1> A_tmp(X.A, out);
Chris@49 157 const unwrap_check<T2> B_tmp(X.B, out);
Chris@49 158
Chris@49 159 const Mat<eT>& A = A_tmp.M;
Chris@49 160 const Mat<eT>& B = B_tmp.M;
Chris@49 161
Chris@49 162 const uword norm_type = X.aux_uword;
Chris@49 163
Chris@49 164 if(&A != &B)
Chris@49 165 {
Chris@49 166 glue_cor::direct_cor(out, A, B, norm_type);
Chris@49 167 }
Chris@49 168 else
Chris@49 169 {
Chris@49 170 op_cor::direct_cor(out, A, norm_type);
Chris@49 171 }
Chris@49 172 }
Chris@49 173
Chris@49 174
Chris@49 175
Chris@49 176 //! @}