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1 // -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1992, 1993, 1994 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. |
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21 |
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22 */ |
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23 |
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24 #ifdef HAVE_CONFIG_H |
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25 #include "config.h" |
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26 #endif |
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27 |
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28 #if defined (__GNUG__) |
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29 #pragma implementation |
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30 #endif |
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31 |
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32 #include "dbleSVD.h" |
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33 #include "mx-inlines.cc" |
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34 #include "f77-uscore.h" |
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35 |
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36 extern "C" |
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37 { |
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38 int F77_FCN (dgesvd) (const char*, const char*, const int*, |
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39 const int*, double*, const int*, double*, |
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40 double*, const int*, double*, const int*, |
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41 double*, const int*, int*, long, long); |
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42 } |
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43 |
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44 int |
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45 SVD::init (const Matrix& a, SVD::type svd_type) |
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46 { |
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47 int info; |
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48 |
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49 int m = a.rows (); |
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50 int n = a.cols (); |
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51 |
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52 double *tmp_data = dup (a.data (), a.length ()); |
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53 |
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54 int min_mn = m < n ? m : n; |
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55 int max_mn = m > n ? m : n; |
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56 |
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57 char jobu = 'A'; |
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58 char jobv = 'A'; |
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59 |
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60 int ncol_u = m; |
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61 int nrow_vt = n; |
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62 int nrow_s = m; |
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63 int ncol_s = n; |
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64 |
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65 if (svd_type == SVD::economy) |
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66 { |
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67 jobu = jobv = 'S'; |
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68 ncol_u = nrow_vt = nrow_s = ncol_s = min_mn; |
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69 } |
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70 |
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71 double *u = new double[m * ncol_u]; |
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72 double *s_vec = new double[min_mn]; |
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73 double *vt = new double[nrow_vt * n]; |
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74 |
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75 int tmp1 = 3*min_mn + max_mn; |
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76 int tmp2 = 5*min_mn - 4; |
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77 int lwork = tmp1 > tmp2 ? tmp1 : tmp2; |
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78 double *work = new double[lwork]; |
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79 |
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80 F77_FCN (dgesvd) (&jobu, &jobv, &m, &n, tmp_data, &m, s_vec, u, &m, |
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81 vt, &nrow_vt, work, &lwork, &info, 1L, 1L); |
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82 |
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83 left_sm = Matrix (u, m, ncol_u); |
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84 sigma = DiagMatrix (s_vec, nrow_s, ncol_s); |
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85 Matrix vt_m (vt, nrow_vt, n); |
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86 right_sm = vt_m.transpose (); |
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87 |
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88 delete [] tmp_data; |
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89 delete [] work; |
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90 |
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91 return info; |
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92 } |
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93 |
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94 ostream& |
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95 operator << (ostream& os, const SVD& a) |
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96 { |
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97 os << a.left_singular_matrix () << "\n"; |
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98 os << a.singular_values () << "\n"; |
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99 os << a.right_singular_matrix () << "\n"; |
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100 |
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101 return os; |
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102 } |
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103 |
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104 /* |
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105 ;;; Local Variables: *** |
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106 ;;; mode: C++ *** |
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107 ;;; page-delimiter: "^/\\*" *** |
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108 ;;; End: *** |
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109 */ |
