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1 /* |
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2 |
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3 Copyright (C) 1996, 1997 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 3 of the License, or (at your |
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10 option) any later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, see |
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19 <http://www.gnu.org/licenses/>. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include "CmplxQR.h" |
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28 #include "f77-fcn.h" |
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29 #include "lo-error.h" |
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30 |
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31 extern "C" |
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32 { |
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33 F77_RET_T |
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34 F77_FUNC (zgeqrf, ZGEQRF) (const octave_idx_type&, const octave_idx_type&, Complex*, |
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35 const octave_idx_type&, Complex*, Complex*, |
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36 const octave_idx_type&, octave_idx_type&); |
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37 |
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38 F77_RET_T |
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39 F77_FUNC (zungqr, ZUNGQR) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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40 Complex*, const octave_idx_type&, Complex*, |
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41 Complex*, const octave_idx_type&, octave_idx_type&); |
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42 } |
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43 |
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44 ComplexQR::ComplexQR (const ComplexMatrix& a, QR::type qr_type) |
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45 : q (), r () |
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46 { |
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47 init (a, qr_type); |
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48 } |
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49 |
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50 void |
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51 ComplexQR::init (const ComplexMatrix& a, QR::type qr_type) |
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52 { |
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53 octave_idx_type m = a.rows (); |
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54 octave_idx_type n = a.cols (); |
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55 |
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56 if (m == 0 || n == 0) |
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57 { |
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58 (*current_liboctave_error_handler) |
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59 ("ComplexQR must have non-empty matrix"); |
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60 return; |
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61 } |
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62 |
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63 octave_idx_type min_mn = m < n ? m : n; |
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64 |
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65 Array<Complex> tau (min_mn); |
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66 Complex *ptau = tau.fortran_vec (); |
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67 |
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68 octave_idx_type lwork = 32*n; |
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69 Array<Complex> work (lwork); |
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70 Complex *pwork = work.fortran_vec (); |
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71 |
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72 octave_idx_type info = 0; |
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73 |
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74 ComplexMatrix A_fact; |
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75 if (m > n && qr_type != QR::economy) |
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76 { |
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77 A_fact.resize (m, m); |
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78 A_fact.insert (a, 0, 0); |
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79 } |
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80 else |
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81 A_fact = a; |
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82 |
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83 Complex *tmp_data = A_fact.fortran_vec (); |
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84 |
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85 F77_XFCN (zgeqrf, ZGEQRF, (m, n, tmp_data, m, ptau, pwork, lwork, info)); |
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86 |
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87 if (f77_exception_encountered) |
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88 (*current_liboctave_error_handler) ("unrecoverable error in zgeqrf"); |
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89 else |
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90 { |
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91 if (qr_type == QR::raw) |
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92 { |
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93 for (octave_idx_type j = 0; j < min_mn; j++) |
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94 { |
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95 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1; |
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96 for (octave_idx_type i = limit + 1; i < m; i++) |
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97 A_fact.elem (i, j) *= tau.elem (j); |
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98 } |
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99 |
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100 r = A_fact; |
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101 |
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102 if (m > n) |
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103 r.resize (m, n); |
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104 } |
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105 else |
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106 { |
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107 octave_idx_type n2 = (qr_type == QR::economy) ? min_mn : m; |
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108 |
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109 if (qr_type == QR::economy && m > n) |
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110 r.resize (n, n, 0.0); |
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111 else |
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112 r.resize (m, n, 0.0); |
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113 |
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114 for (octave_idx_type j = 0; j < n; j++) |
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115 { |
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116 octave_idx_type limit = j < min_mn-1 ? j : min_mn-1; |
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117 for (octave_idx_type i = 0; i <= limit; i++) |
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118 r.elem (i, j) = A_fact.elem (i, j); |
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119 } |
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120 |
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121 lwork = 32 * n2; |
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122 work.resize (lwork); |
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123 Complex *pwork2 = work.fortran_vec (); |
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124 |
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125 F77_XFCN (zungqr, ZUNGQR, (m, n2, min_mn, tmp_data, m, ptau, |
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126 pwork2, lwork, info)); |
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127 |
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128 if (f77_exception_encountered) |
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129 (*current_liboctave_error_handler) |
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130 ("unrecoverable error in zungqr"); |
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131 else |
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132 { |
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133 q = A_fact; |
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134 q.resize (m, n2); |
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135 } |
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136 } |
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137 } |
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138 } |
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139 |
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140 /* |
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141 ;;; Local Variables: *** |
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142 ;;; mode: C++ *** |
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143 ;;; End: *** |
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144 */ |
