annotate liboctave/fEIG.cc @ 7961:a5d1e27ee1f4 ss-3-1-51

3.1.51 snapshot
author John W. Eaton <jwe@octave.org>
date Tue, 22 Jul 2008 11:40:48 -0400
parents 82be108cc558
children 18c4ded8612a
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rev   line source
7789
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1 /*
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2
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3 Copyright (C) 1994, 1995, 1996, 1997, 1998, 2000, 2002, 2003, 2004,
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4 2005, 2006, 2007 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 3 of the License, or (at your
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11 option) any 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, see
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20 <http://www.gnu.org/licenses/>.
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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 #include "fEIG.h"
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29 #include "fColVector.h"
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30 #include "f77-fcn.h"
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31 #include "lo-error.h"
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32
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33 extern "C"
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34 {
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35 F77_RET_T
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36 F77_FUNC (sgeev, SGEEV) (F77_CONST_CHAR_ARG_DECL,
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37 F77_CONST_CHAR_ARG_DECL,
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38 const octave_idx_type&, float*, const octave_idx_type&, float*,
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39 float*, float*, const octave_idx_type&, float*,
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40 const octave_idx_type&, float*, const octave_idx_type&, octave_idx_type&
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41 F77_CHAR_ARG_LEN_DECL
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42 F77_CHAR_ARG_LEN_DECL);
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43
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44 F77_RET_T
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45 F77_FUNC (cgeev, CGEEV) (F77_CONST_CHAR_ARG_DECL,
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46 F77_CONST_CHAR_ARG_DECL,
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47 const octave_idx_type&, FloatComplex*, const octave_idx_type&, FloatComplex*,
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48 FloatComplex*, const octave_idx_type&, FloatComplex*, const octave_idx_type&,
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49 FloatComplex*, const octave_idx_type&, float*, octave_idx_type&
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50 F77_CHAR_ARG_LEN_DECL
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51 F77_CHAR_ARG_LEN_DECL);
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52
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53 F77_RET_T
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54 F77_FUNC (ssyev, SSYEV) (F77_CONST_CHAR_ARG_DECL,
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55 F77_CONST_CHAR_ARG_DECL,
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56 const octave_idx_type&, float*, const octave_idx_type&, float*,
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57 float*, const octave_idx_type&, octave_idx_type&
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58 F77_CHAR_ARG_LEN_DECL
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59 F77_CHAR_ARG_LEN_DECL);
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60
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61 F77_RET_T
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62 F77_FUNC (cheev, CHEEV) (F77_CONST_CHAR_ARG_DECL,
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63 F77_CONST_CHAR_ARG_DECL,
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64 const octave_idx_type&, FloatComplex*, const octave_idx_type&, float*,
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65 FloatComplex*, const octave_idx_type&, float*, octave_idx_type&
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66 F77_CHAR_ARG_LEN_DECL
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67 F77_CHAR_ARG_LEN_DECL);
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68 }
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69
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70 octave_idx_type
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71 FloatEIG::init (const FloatMatrix& a, bool calc_ev)
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72 {
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73 if (a.any_element_is_inf_or_nan ())
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74 {
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75 (*current_liboctave_error_handler)
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76 ("EIG: matrix contains Inf or NaN values");
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77 return -1;
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78 }
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79
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80 if (a.is_symmetric ())
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81 return symmetric_init (a, calc_ev);
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82
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83 octave_idx_type n = a.rows ();
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84
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85 if (n != a.cols ())
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86 {
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87 (*current_liboctave_error_handler) ("EIG requires square matrix");
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88 return -1;
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89 }
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90
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91 octave_idx_type info = 0;
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92
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93 FloatMatrix atmp = a;
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94 float *tmp_data = atmp.fortran_vec ();
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95
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96 Array<float> wr (n);
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97 float *pwr = wr.fortran_vec ();
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98
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99 Array<float> wi (n);
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100 float *pwi = wi.fortran_vec ();
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101
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102 volatile octave_idx_type nvr = calc_ev ? n : 0;
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103 FloatMatrix vr (nvr, nvr);
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104 float *pvr = vr.fortran_vec ();
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105
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106 octave_idx_type lwork = -1;
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107 float dummy_work;
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108
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109 float *dummy = 0;
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110 octave_idx_type idummy = 1;
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111
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112 F77_XFCN (sgeev, SGEEV, (F77_CONST_CHAR_ARG2 ("N", 1),
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113 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1),
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114 n, tmp_data, n, pwr, pwi, dummy,
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115 idummy, pvr, n, &dummy_work, lwork, info
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116 F77_CHAR_ARG_LEN (1)
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117 F77_CHAR_ARG_LEN (1)));
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118
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119 if (info == 0)
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120 {
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121 lwork = static_cast<octave_idx_type> (dummy_work);
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122 Array<float> work (lwork);
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123 float *pwork = work.fortran_vec ();
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124
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125 F77_XFCN (sgeev, SGEEV, (F77_CONST_CHAR_ARG2 ("N", 1),
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126 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1),
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127 n, tmp_data, n, pwr, pwi, dummy,
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128 idummy, pvr, n, pwork, lwork, info
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129 F77_CHAR_ARG_LEN (1)
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130 F77_CHAR_ARG_LEN (1)));
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131
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132 if (info < 0)
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133 {
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134 (*current_liboctave_error_handler) ("unrecoverable error in sgeev");
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135 return info;
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136 }
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137
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138 if (info > 0)
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139 {
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140 (*current_liboctave_error_handler) ("sgeev failed to converge");
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141 return info;
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142 }
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143
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144 lambda.resize (n);
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145 v.resize (nvr, nvr);
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146
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147 for (octave_idx_type j = 0; j < n; j++)
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148 {
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149 if (wi.elem (j) == 0.0)
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150 {
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151 lambda.elem (j) = FloatComplex (wr.elem (j));
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152 for (octave_idx_type i = 0; i < nvr; i++)
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153 v.elem (i, j) = vr.elem (i, j);
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154 }
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155 else
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156 {
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157 if (j+1 >= n)
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158 {
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159 (*current_liboctave_error_handler) ("EIG: internal error");
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160 return -1;
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161 }
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162
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163 lambda.elem(j) = FloatComplex (wr.elem(j), wi.elem(j));
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164 lambda.elem(j+1) = FloatComplex (wr.elem(j+1), wi.elem(j+1));
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165
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parents:
diff changeset
166 for (octave_idx_type i = 0; i < nvr; i++)
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parents:
diff changeset
167 {
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diff changeset
168 float real_part = vr.elem (i, j);
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parents:
diff changeset
169 float imag_part = vr.elem (i, j+1);
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parents:
diff changeset
170 v.elem (i, j) = FloatComplex (real_part, imag_part);
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parents:
diff changeset
171 v.elem (i, j+1) = FloatComplex (real_part, -imag_part);
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parents:
diff changeset
172 }
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diff changeset
173 j++;
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parents:
diff changeset
174 }
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parents:
diff changeset
175 }
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parents:
diff changeset
176 }
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parents:
diff changeset
177 else
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parents:
diff changeset
178 (*current_liboctave_error_handler) ("sgeev workspace query failed");
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parents:
diff changeset
179
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parents:
diff changeset
180 return info;
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parents:
diff changeset
181 }
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parents:
diff changeset
182
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parents:
diff changeset
183 octave_idx_type
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184 FloatEIG::symmetric_init (const FloatMatrix& a, bool calc_ev)
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diff changeset
185 {
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diff changeset
186 octave_idx_type n = a.rows ();
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parents:
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187
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188 if (n != a.cols ())
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parents:
diff changeset
189 {
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diff changeset
190 (*current_liboctave_error_handler) ("EIG requires square matrix");
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parents:
diff changeset
191 return -1;
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parents:
diff changeset
192 }
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diff changeset
193
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194 octave_idx_type info = 0;
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diff changeset
195
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196 FloatMatrix atmp = a;
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197 float *tmp_data = atmp.fortran_vec ();
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198
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199 FloatColumnVector wr (n);
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parents:
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200 float *pwr = wr.fortran_vec ();
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parents:
diff changeset
201
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202 octave_idx_type lwork = -1;
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203 float dummy_work;
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parents:
diff changeset
204
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205 F77_XFCN (ssyev, SSYEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1),
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parents:
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206 F77_CONST_CHAR_ARG2 ("U", 1),
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diff changeset
207 n, tmp_data, n, pwr, &dummy_work, lwork, info
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parents:
diff changeset
208 F77_CHAR_ARG_LEN (1)
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parents:
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209 F77_CHAR_ARG_LEN (1)));
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parents:
diff changeset
210
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parents:
diff changeset
211 if (info == 0)
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parents:
diff changeset
212 {
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213 lwork = static_cast<octave_idx_type> (dummy_work);
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214 Array<float> work (lwork);
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parents:
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215 float *pwork = work.fortran_vec ();
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parents:
diff changeset
216
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parents:
diff changeset
217 F77_XFCN (ssyev, SSYEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1),
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parents:
diff changeset
218 F77_CONST_CHAR_ARG2 ("U", 1),
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parents:
diff changeset
219 n, tmp_data, n, pwr, pwork, lwork, info
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parents:
diff changeset
220 F77_CHAR_ARG_LEN (1)
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
221 F77_CHAR_ARG_LEN (1)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
222
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parents:
diff changeset
223 if (info < 0)
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parents:
diff changeset
224 {
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
225 (*current_liboctave_error_handler) ("unrecoverable error in ssyev");
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diff changeset
226 return info;
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parents:
diff changeset
227 }
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
228
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parents:
diff changeset
229 if (info > 0)
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David Bateman <dbateman@free.fr>
parents:
diff changeset
230 {
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
231 (*current_liboctave_error_handler) ("ssyev failed to converge");
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parents:
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232 return info;
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
233 }
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parents:
diff changeset
234
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235 lambda = FloatComplexColumnVector (wr);
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236 v = calc_ev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ();
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237 }
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diff changeset
238 else
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parents:
diff changeset
239 (*current_liboctave_error_handler) ("ssyev workspace query failed");
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parents:
diff changeset
240
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diff changeset
241 return info;
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parents:
diff changeset
242 }
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
243
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parents:
diff changeset
244 octave_idx_type
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245 FloatEIG::init (const FloatComplexMatrix& a, bool calc_ev)
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parents:
diff changeset
246 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
247 if (a.any_element_is_inf_or_nan ())
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parents:
diff changeset
248 {
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
249 (*current_liboctave_error_handler)
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parents:
diff changeset
250 ("EIG: matrix contains Inf or NaN values");
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parents:
diff changeset
251 return -1;
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parents:
diff changeset
252 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
253
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David Bateman <dbateman@free.fr>
parents:
diff changeset
254 if (a.is_hermitian ())
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
255 return hermitian_init (a, calc_ev);
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parents:
diff changeset
256
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parents:
diff changeset
257 octave_idx_type n = a.rows ();
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David Bateman <dbateman@free.fr>
parents:
diff changeset
258
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
259 if (n != a.cols ())
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
260 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
261 (*current_liboctave_error_handler) ("EIG requires square matrix");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
262 return -1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
263 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
264
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
265 octave_idx_type info = 0;
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parents:
diff changeset
266
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
267 FloatComplexMatrix atmp = a;
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parents:
diff changeset
268 FloatComplex *tmp_data = atmp.fortran_vec ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
269
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
270 FloatComplexColumnVector w (n);
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
271 FloatComplex *pw = w.fortran_vec ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
272
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parents:
diff changeset
273 octave_idx_type nvr = calc_ev ? n : 0;
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parents:
diff changeset
274 FloatComplexMatrix vtmp (nvr, nvr);
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
275 FloatComplex *pv = vtmp.fortran_vec ();
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
276
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
277 octave_idx_type lwork = -1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
278 FloatComplex dummy_work;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
279
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
280 octave_idx_type lrwork = 2*n;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
281 Array<float> rwork (lrwork);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
282 float *prwork = rwork.fortran_vec ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
283
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parents:
diff changeset
284 FloatComplex *dummy = 0;
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
285 octave_idx_type idummy = 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
286
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
287 F77_XFCN (cgeev, CGEEV, (F77_CONST_CHAR_ARG2 ("N", 1),
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
288 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1),
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
289 n, tmp_data, n, pw, dummy, idummy,
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
290 pv, n, &dummy_work, lwork, prwork, info
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
291 F77_CHAR_ARG_LEN (1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
292 F77_CHAR_ARG_LEN (1)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
293
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
294 if (info == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
295 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
296 lwork = static_cast<octave_idx_type> (dummy_work.real ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
297 Array<FloatComplex> work (lwork);
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
298 FloatComplex *pwork = work.fortran_vec ();
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
299
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
300 F77_XFCN (cgeev, CGEEV, (F77_CONST_CHAR_ARG2 ("N", 1),
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
301 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1),
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
302 n, tmp_data, n, pw, dummy, idummy,
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
303 pv, n, pwork, lwork, prwork, info
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
304 F77_CHAR_ARG_LEN (1)
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
305 F77_CHAR_ARG_LEN (1)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
306
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
307 if (info < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
308 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
309 (*current_liboctave_error_handler) ("unrecoverable error in cgeev");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
310 return info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
311 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
312
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
313 if (info > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
314 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
315 (*current_liboctave_error_handler) ("cgeev failed to converge");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
316 return info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
317 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
318
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
319 lambda = w;
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
320 v = vtmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
321 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
322 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
323 (*current_liboctave_error_handler) ("cgeev workspace query failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
324
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
325 return info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
326 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
327
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
328 octave_idx_type
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
329 FloatEIG::hermitian_init (const FloatComplexMatrix& a, bool calc_ev)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
330 {
82be108cc558 First attempt at single precision tyeps
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parents:
diff changeset
331 octave_idx_type n = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
332
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
333 if (n != a.cols ())
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
diff changeset
334 {
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335 (*current_liboctave_error_handler) ("EIG requires square matrix");
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336 return -1;
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337 }
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338
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339 octave_idx_type info = 0;
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340
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341 FloatComplexMatrix atmp = a;
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342 FloatComplex *tmp_data = atmp.fortran_vec ();
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343
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344 FloatColumnVector wr (n);
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345 float *pwr = wr.fortran_vec ();
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346
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347 octave_idx_type lwork = -1;
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348 FloatComplex dummy_work;
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349
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350 octave_idx_type lrwork = 3*n;
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351 Array<float> rwork (lrwork);
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352 float *prwork = rwork.fortran_vec ();
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353
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354 F77_XFCN (cheev, CHEEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1),
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355 F77_CONST_CHAR_ARG2 ("U", 1),
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356 n, tmp_data, n, pwr, &dummy_work, lwork,
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357 prwork, info
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358 F77_CHAR_ARG_LEN (1)
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359 F77_CHAR_ARG_LEN (1)));
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360
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361 if (info == 0)
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362 {
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363 lwork = static_cast<octave_idx_type> (dummy_work.real ());
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364 Array<FloatComplex> work (lwork);
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365 FloatComplex *pwork = work.fortran_vec ();
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366
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367 F77_XFCN (cheev, CHEEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1),
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368 F77_CONST_CHAR_ARG2 ("U", 1),
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369 n, tmp_data, n, pwr, pwork, lwork, prwork, info
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370 F77_CHAR_ARG_LEN (1)
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371 F77_CHAR_ARG_LEN (1)));
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372
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373 if (info < 0)
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374 {
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375 (*current_liboctave_error_handler) ("unrecoverable error in cheev");
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376 return info;
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377 }
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378
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379 if (info > 0)
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380 {
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381 (*current_liboctave_error_handler) ("cheev failed to converge");
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382 return info;
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383 }
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384
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385 lambda = FloatComplexColumnVector (wr);
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386 v = calc_ev ? FloatComplexMatrix (atmp) : FloatComplexMatrix ();
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387 }
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388 else
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389 (*current_liboctave_error_handler) ("cheev workspace query failed");
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390
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391 return info;
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392 }
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393
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394 /*
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395 ;;; Local Variables: ***
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396 ;;; mode: C++ ***
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397 ;;; End: ***
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398 */