Mercurial > octave-nkf
annotate liboctave/dbleSCHUR.cc @ 12312:b10ea6efdc58 release-3-4-x ss-3-3-91
version is now 3.3.91
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Mon, 31 Jan 2011 08:36:58 -0500 |
| parents | 57632dea2446 |
| children | 72c96de7a403 |
| rev | line source |
|---|---|
| 457 | 1 /* |
| 2 | |
| 11523 | 3 Copyright (C) 1994-2011 John W. Eaton |
| 457 | 4 |
| 5 This file is part of Octave. | |
| 6 | |
| 7 Octave is free software; you can redistribute it and/or modify it | |
| 8 under the terms of the GNU General Public License as published by the | |
| 7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
| 10 option) any later version. | |
| 457 | 11 |
| 12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 15 for more details. | |
| 16 | |
| 17 You should have received a copy of the GNU General Public License | |
| 7016 | 18 along with Octave; see the file COPYING. If not, see |
| 19 <http://www.gnu.org/licenses/>. | |
| 457 | 20 |
| 21 */ | |
| 22 | |
| 23 #ifdef HAVE_CONFIG_H | |
| 1192 | 24 #include <config.h> |
| 457 | 25 #endif |
| 26 | |
| 3503 | 27 #include <iostream> |
| 1631 | 28 |
| 457 | 29 #include "dbleSCHUR.h" |
| 1847 | 30 #include "f77-fcn.h" |
| 457 | 31 #include "lo-error.h" |
| 32 | |
| 33 extern "C" | |
| 34 { | |
| 4552 | 35 F77_RET_T |
| 36 F77_FUNC (dgeesx, DGEESX) (F77_CONST_CHAR_ARG_DECL, | |
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37 F77_CONST_CHAR_ARG_DECL, |
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38 SCHUR::select_function, |
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39 F77_CONST_CHAR_ARG_DECL, |
| 11495 | 40 const octave_idx_type&, double*, |
| 41 const octave_idx_type&, octave_idx_type&, | |
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42 double*, double*, double*, const octave_idx_type&, |
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43 double&, double&, double*, const octave_idx_type&, |
| 11495 | 44 octave_idx_type*, const octave_idx_type&, |
| 45 octave_idx_type*, octave_idx_type& | |
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46 F77_CHAR_ARG_LEN_DECL |
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47 F77_CHAR_ARG_LEN_DECL |
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48 F77_CHAR_ARG_LEN_DECL); |
| 457 | 49 } |
| 50 | |
| 5275 | 51 static octave_idx_type |
| 1486 | 52 select_ana (const double& a, const double&) |
| 457 | 53 { |
| 1251 | 54 return (a < 0.0); |
| 457 | 55 } |
| 56 | |
| 5275 | 57 static octave_idx_type |
| 1251 | 58 select_dig (const double& a, const double& b) |
| 457 | 59 { |
| 1251 | 60 return (hypot (a, b) < 1.0); |
| 457 | 61 } |
| 62 | |
| 5275 | 63 octave_idx_type |
| 5008 | 64 SCHUR::init (const Matrix& a, const std::string& ord, bool calc_unitary) |
| 457 | 65 { |
| 5275 | 66 octave_idx_type a_nr = a.rows (); |
| 67 octave_idx_type a_nc = a.cols (); | |
| 1929 | 68 |
| 457 | 69 if (a_nr != a_nc) |
| 70 { | |
| 71 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); | |
| 72 return -1; | |
| 73 } | |
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74 else if (a_nr == 0) |
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75 { |
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76 schur_mat.clear (); |
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77 unitary_mat.clear (); |
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78 return 0; |
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79 } |
| 457 | 80 |
| 3334 | 81 // Workspace requirements may need to be fixed if any of the |
| 82 // following change. | |
| 83 | |
| 5008 | 84 char jobvs; |
| 1930 | 85 char sense = 'N'; |
| 86 char sort = 'N'; | |
| 457 | 87 |
| 5008 | 88 if (calc_unitary) |
| 89 jobvs = 'V'; | |
| 90 else | |
| 91 jobvs = 'N'; | |
| 92 | |
| 1756 | 93 char ord_char = ord.empty () ? 'U' : ord[0]; |
| 94 | |
| 95 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') | |
| 1930 | 96 sort = 'S'; |
| 457 | 97 |
| 1929 | 98 if (ord_char == 'A' || ord_char == 'a') |
| 99 selector = select_ana; | |
| 100 else if (ord_char == 'D' || ord_char == 'd') | |
| 101 selector = select_dig; | |
| 1930 | 102 else |
| 103 selector = 0; | |
| 457 | 104 |
| 5275 | 105 octave_idx_type n = a_nc; |
| 106 octave_idx_type lwork = 8 * n; | |
| 107 octave_idx_type liwork = 1; | |
| 108 octave_idx_type info; | |
| 109 octave_idx_type sdim; | |
| 457 | 110 double rconde; |
| 111 double rcondv; | |
| 112 | |
| 1929 | 113 schur_mat = a; |
| 5008 | 114 |
| 115 if (calc_unitary) | |
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116 unitary_mat.clear (n, n); |
| 1929 | 117 |
| 118 double *s = schur_mat.fortran_vec (); | |
| 119 double *q = unitary_mat.fortran_vec (); | |
| 457 | 120 |
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121 Array<double> wr (dim_vector (n, 1)); |
| 1929 | 122 double *pwr = wr.fortran_vec (); |
| 123 | |
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124 Array<double> wi (dim_vector (n, 1)); |
| 1929 | 125 double *pwi = wi.fortran_vec (); |
| 126 | |
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127 Array<double> work (dim_vector (lwork, 1)); |
| 1929 | 128 double *pwork = work.fortran_vec (); |
| 457 | 129 |
| 3334 | 130 // BWORK is not referenced for the non-ordered Schur routine. |
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131 octave_idx_type ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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132 Array<octave_idx_type> bwork (dim_vector (ntmp, 1)); |
| 5275 | 133 octave_idx_type *pbwork = bwork.fortran_vec (); |
| 1929 | 134 |
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135 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); |
| 5275 | 136 octave_idx_type *piwork = iwork.fortran_vec (); |
| 1929 | 137 |
| 4552 | 138 F77_XFCN (dgeesx, DGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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139 F77_CONST_CHAR_ARG2 (&sort, 1), |
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140 selector, |
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141 F77_CONST_CHAR_ARG2 (&sense, 1), |
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142 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv, |
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143 pwork, lwork, piwork, liwork, pbwork, info |
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144 F77_CHAR_ARG_LEN (1) |
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145 F77_CHAR_ARG_LEN (1) |
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146 F77_CHAR_ARG_LEN (1))); |
| 457 | 147 |
| 148 return info; | |
| 149 } | |
| 150 | |
| 3504 | 151 std::ostream& |
| 152 operator << (std::ostream& os, const SCHUR& a) | |
| 457 | 153 { |
| 154 os << a.schur_matrix () << "\n"; | |
| 155 os << a.unitary_matrix () << "\n"; | |
| 156 | |
| 157 return os; | |
| 158 } | |
| 10822 | 159 |
| 160 SCHUR::SCHUR (const Matrix& s, const Matrix& u) | |
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161 : schur_mat (s), unitary_mat (u), selector (0) |
| 10822 | 162 { |
| 163 octave_idx_type n = s.rows (); | |
| 164 if (s.columns () != n || u.rows () != n || u.columns () != n) | |
| 165 (*current_liboctave_error_handler) | |
| 166 ("schur: inconsistent matrix dimensions"); | |
| 167 } | |
| 168 |