Mercurial > hg > octave-nkf
annotate liboctave/fEIG.cc @ 14557:e8e86ae3abbc
make diag (x, m, n) return a proper diagonal matrix object (bug #36099)
* Array.h, Array.cc (Array<T>::diag (octave_idx_type, octave_idx_type)
const): New function.
* CMatrix.h, CMatrix.cc (ComplexMatrix::diag (octave_idx_type,
octave_idx_type) const): New function.
* dMatrix.h, dMatrix.cc (Matrix::diag (octave_idx_type,
octave_idx_type) const): New function.
* fCMatrix.h, fCMatrix.cc (FloatComplexMatrix::diag (octave_idx_type,
octave_idx_type) const): New function.
* fMatrix.h, fMatrix.cc (FloatMatrix::diag (octave_idx_type,
octave_idx_type) const): New function.
* CNDArray.cc, CNDArray.h (ComplexNDArray::diag (octave_idx_type,
octave_idx_type) const): New forwarding function.
* boolNDArray.cc, boolNDArray.h (boolNDArray::diag (octave_idx_type,
octave_idx_type) const): New forwarding function.
* chNDArray.cc, chNDArray.h (charNDArray::diag (octave_idx_type,
octave_idx_type) const): New forwarding function.
* dNDArray.cc, dNDArray.h (NDArray::diag (octave_idx_type,
octave_idx_type) const): New forwarding function.
* fCNDArray.cc, fCNDArray.h (FloatComplexNDArray::diag
(octave_idx_type, octave_idx_type) const): New forwarding function.
* fNDArray.cc, fNDArray.h (FloatNDArray::diag (octave_idx_type,
octave_idx_type) const): New forwarding function.
* intNDArray.cc, intNDArray.h (intNDArray<T>::diag (octave_idx_type,
octave_idx_type) const): New forwarding function.
* Cell.cc, Cell.h (Cell::diag (octave_idx_type, octave_idx_type)
const): New function.
* ov.h (octave_value::diag (octave_idx_type, octave_idx_type)):
New function.
* ov-base.h, ov-base.cc (octave_base_value::diag (octave_idx_type,
octave_idx_type) const): New virtual function and default implementation.
* ov-base-mat.h (octave_base_matrix<T>::diag (octave_idx_type,
octave_idx_type) const): New function.
* ov-base-scalar.cc, ov-base-scalar.h (octave_base_scalar<T>::diag
(octave_idx_type, octave_idx_type)): New function.
* ov-complex.cc, ov-complex.h (octave_complex::diag (octave_idx_type,
octave_idx_type) const): New function.
* ov-cx-mat.cc, ov-complex.h (octave_complex_matrix::diag
(octave_idx_type, octave_idx_type) const): New function.
* ov-float.cc, ov-float.h (octave_float_scalar::diag (octave_idx_type,
octave_idx_type) const): New function.
* ov-flt-complex.cc, ov-flt-complex.h (octave_float_complex::diag
(octave_idx_type, octave_idx_type) const): New function.
* ov-flt-cx-mat.cc, ov-flt-cx-mat.h (octave_float_complex_matrix::diag
(octave_idx_type, octave_idx_type) const): New function.
* ov-flt-re-mat.cc, ov-flt-re-mat.h (octave_float_matrix::diag
(octave_idx_type, octave_idx_type) const): New function.
* ov-range.cc, ov-range.h (octave_range::diag (octave_idx_type,
octave_idx_type) const): New function.
* ov-re-mat.cc, ov-re-mat.h (octave_matrix::diag (octave_idx_type,
octave_idx_type) const): New function.
* ov-scalar.cc, ov-scalar.h (octave_scalar::diag (octave_idx_type,
octave_idx_type) const): New function.
* data.cc (Fdiag): Use two-arg octave_value::diag method for
dispatching. New tests.
author | John W. Eaton <jwe@octave.org> |
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date | Thu, 12 Apr 2012 16:27:39 -0400 |
parents | 72c96de7a403 |
children | 460a3c6d8bf1 |
rev | line source |
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1 /* |
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2 |
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3 Copyright (C) 1994-2012 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 "fEIG.h" |
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28 #include "fColVector.h" |
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29 #include "f77-fcn.h" |
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30 #include "lo-error.h" |
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31 |
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32 extern "C" |
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33 { |
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34 F77_RET_T |
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35 F77_FUNC (sgeev, SGEEV) (F77_CONST_CHAR_ARG_DECL, |
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36 F77_CONST_CHAR_ARG_DECL, |
11495 | 37 const octave_idx_type&, float*, |
38 const octave_idx_type&, float*, float*, float*, | |
39 const octave_idx_type&, float*, | |
40 const octave_idx_type&, float*, | |
41 const octave_idx_type&, octave_idx_type& | |
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42 F77_CHAR_ARG_LEN_DECL |
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43 F77_CHAR_ARG_LEN_DECL); |
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44 |
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45 F77_RET_T |
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46 F77_FUNC (cgeev, CGEEV) (F77_CONST_CHAR_ARG_DECL, |
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47 F77_CONST_CHAR_ARG_DECL, |
11495 | 48 const octave_idx_type&, FloatComplex*, |
49 const octave_idx_type&, FloatComplex*, FloatComplex*, | |
50 const octave_idx_type&, FloatComplex*, | |
51 const octave_idx_type&, FloatComplex*, | |
52 const octave_idx_type&, float*, octave_idx_type& | |
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53 F77_CHAR_ARG_LEN_DECL |
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54 F77_CHAR_ARG_LEN_DECL); |
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55 |
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56 F77_RET_T |
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57 F77_FUNC (ssyev, SSYEV) (F77_CONST_CHAR_ARG_DECL, |
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58 F77_CONST_CHAR_ARG_DECL, |
11495 | 59 const octave_idx_type&, float*, |
60 const octave_idx_type&, float*, float*, | |
61 const octave_idx_type&, octave_idx_type& | |
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62 F77_CHAR_ARG_LEN_DECL |
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63 F77_CHAR_ARG_LEN_DECL); |
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64 |
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65 F77_RET_T |
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66 F77_FUNC (cheev, CHEEV) (F77_CONST_CHAR_ARG_DECL, |
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67 F77_CONST_CHAR_ARG_DECL, |
11495 | 68 const octave_idx_type&, FloatComplex*, |
69 const octave_idx_type&, float*, FloatComplex*, | |
70 const octave_idx_type&, float*, octave_idx_type& | |
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71 F77_CHAR_ARG_LEN_DECL |
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72 F77_CHAR_ARG_LEN_DECL); |
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73 |
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74 F77_RET_T |
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75 F77_FUNC (spotrf, SPOTRF) (F77_CONST_CHAR_ARG_DECL, |
11495 | 76 const octave_idx_type&, float*, |
77 const octave_idx_type&, octave_idx_type& | |
78 F77_CHAR_ARG_LEN_DECL | |
79 F77_CHAR_ARG_LEN_DECL); | |
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80 |
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81 F77_RET_T |
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82 F77_FUNC (cpotrf, CPOTRF) (F77_CONST_CHAR_ARG_DECL, |
11495 | 83 const octave_idx_type&, FloatComplex*, |
84 const octave_idx_type&, octave_idx_type& | |
85 F77_CHAR_ARG_LEN_DECL | |
86 F77_CHAR_ARG_LEN_DECL); | |
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87 |
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88 F77_RET_T |
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89 F77_FUNC (sggev, SGGEV) (F77_CONST_CHAR_ARG_DECL, |
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90 F77_CONST_CHAR_ARG_DECL, |
11495 | 91 const octave_idx_type&, float*, |
92 const octave_idx_type&, float*, | |
93 const octave_idx_type&, float*, float*, float*, | |
94 float*, const octave_idx_type&, float*, | |
95 const octave_idx_type&, float*, | |
96 const octave_idx_type&, octave_idx_type& | |
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97 F77_CHAR_ARG_LEN_DECL |
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98 F77_CHAR_ARG_LEN_DECL); |
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99 |
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100 F77_RET_T |
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101 F77_FUNC (ssygv, SSYGV) (const octave_idx_type&, |
11518 | 102 F77_CONST_CHAR_ARG_DECL, |
103 F77_CONST_CHAR_ARG_DECL, | |
11495 | 104 const octave_idx_type&, float*, |
105 const octave_idx_type&, float*, | |
106 const octave_idx_type&, float*, float*, | |
107 const octave_idx_type&, octave_idx_type& | |
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108 F77_CHAR_ARG_LEN_DECL |
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109 F77_CHAR_ARG_LEN_DECL); |
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110 |
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111 F77_RET_T |
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112 F77_FUNC (cggev, CGGEV) (F77_CONST_CHAR_ARG_DECL, |
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113 F77_CONST_CHAR_ARG_DECL, |
11495 | 114 const octave_idx_type&, FloatComplex*, |
115 const octave_idx_type&, FloatComplex*, | |
116 const octave_idx_type&, FloatComplex*, | |
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117 FloatComplex*, FloatComplex*, |
11495 | 118 const octave_idx_type&, FloatComplex*, |
119 const octave_idx_type&, FloatComplex*, | |
120 const octave_idx_type&, float*, octave_idx_type& | |
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121 F77_CHAR_ARG_LEN_DECL |
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122 F77_CHAR_ARG_LEN_DECL); |
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123 |
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124 F77_RET_T |
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125 F77_FUNC (chegv, CHEGV) (const octave_idx_type&, |
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126 F77_CONST_CHAR_ARG_DECL, |
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127 F77_CONST_CHAR_ARG_DECL, |
11495 | 128 const octave_idx_type&, FloatComplex*, |
129 const octave_idx_type&, FloatComplex*, | |
130 const octave_idx_type&, float*, FloatComplex*, | |
131 const octave_idx_type&, float*, octave_idx_type& | |
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132 F77_CHAR_ARG_LEN_DECL |
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133 F77_CHAR_ARG_LEN_DECL); |
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134 } |
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135 |
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136 octave_idx_type |
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137 FloatEIG::init (const FloatMatrix& a, bool calc_ev) |
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138 { |
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139 if (a.any_element_is_inf_or_nan ()) |
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140 { |
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141 (*current_liboctave_error_handler) |
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142 ("EIG: matrix contains Inf or NaN values"); |
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143 return -1; |
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144 } |
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145 |
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146 if (a.is_symmetric ()) |
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147 return symmetric_init (a, calc_ev); |
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148 |
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149 octave_idx_type n = a.rows (); |
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150 |
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151 if (n != a.cols ()) |
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152 { |
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153 (*current_liboctave_error_handler) ("EIG requires square matrix"); |
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154 return -1; |
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155 } |
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156 |
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157 octave_idx_type info = 0; |
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158 |
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159 FloatMatrix atmp = a; |
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160 float *tmp_data = atmp.fortran_vec (); |
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161 |
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162 Array<float> wr (dim_vector (n, 1)); |
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163 float *pwr = wr.fortran_vec (); |
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164 |
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165 Array<float> wi (dim_vector (n, 1)); |
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166 float *pwi = wi.fortran_vec (); |
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167 |
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168 volatile octave_idx_type nvr = calc_ev ? n : 0; |
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169 FloatMatrix vr (nvr, nvr); |
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170 float *pvr = vr.fortran_vec (); |
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171 |
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172 octave_idx_type lwork = -1; |
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173 float dummy_work; |
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174 |
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175 float *dummy = 0; |
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176 octave_idx_type idummy = 1; |
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177 |
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178 F77_XFCN (sgeev, SGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
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179 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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180 n, tmp_data, n, pwr, pwi, dummy, |
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181 idummy, pvr, n, &dummy_work, lwork, info |
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182 F77_CHAR_ARG_LEN (1) |
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183 F77_CHAR_ARG_LEN (1))); |
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184 |
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185 if (info == 0) |
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186 { |
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187 lwork = static_cast<octave_idx_type> (dummy_work); |
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188 Array<float> work (dim_vector (lwork, 1)); |
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189 float *pwork = work.fortran_vec (); |
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190 |
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191 F77_XFCN (sgeev, SGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
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192 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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193 n, tmp_data, n, pwr, pwi, dummy, |
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194 idummy, pvr, n, pwork, lwork, info |
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195 F77_CHAR_ARG_LEN (1) |
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196 F77_CHAR_ARG_LEN (1))); |
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197 |
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198 if (info < 0) |
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199 { |
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200 (*current_liboctave_error_handler) ("unrecoverable error in sgeev"); |
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201 return info; |
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202 } |
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203 |
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204 if (info > 0) |
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205 { |
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206 (*current_liboctave_error_handler) ("sgeev failed to converge"); |
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207 return info; |
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208 } |
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209 |
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210 lambda.resize (n); |
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211 v.resize (nvr, nvr); |
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212 |
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213 for (octave_idx_type j = 0; j < n; j++) |
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214 { |
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215 if (wi.elem (j) == 0.0) |
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216 { |
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217 lambda.elem (j) = FloatComplex (wr.elem (j)); |
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218 for (octave_idx_type i = 0; i < nvr; i++) |
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219 v.elem (i, j) = vr.elem (i, j); |
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220 } |
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221 else |
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222 { |
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223 if (j+1 >= n) |
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224 { |
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225 (*current_liboctave_error_handler) ("EIG: internal error"); |
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226 return -1; |
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227 } |
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228 |
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229 lambda.elem(j) = FloatComplex (wr.elem(j), wi.elem(j)); |
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230 lambda.elem(j+1) = FloatComplex (wr.elem(j+1), wi.elem(j+1)); |
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231 |
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232 for (octave_idx_type i = 0; i < nvr; i++) |
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233 { |
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234 float real_part = vr.elem (i, j); |
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235 float imag_part = vr.elem (i, j+1); |
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236 v.elem (i, j) = FloatComplex (real_part, imag_part); |
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237 v.elem (i, j+1) = FloatComplex (real_part, -imag_part); |
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238 } |
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239 j++; |
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240 } |
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241 } |
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242 } |
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243 else |
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244 (*current_liboctave_error_handler) ("sgeev workspace query failed"); |
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245 |
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246 return info; |
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247 } |
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248 |
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249 octave_idx_type |
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250 FloatEIG::symmetric_init (const FloatMatrix& a, bool calc_ev) |
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251 { |
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252 octave_idx_type n = a.rows (); |
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253 |
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254 if (n != a.cols ()) |
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255 { |
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256 (*current_liboctave_error_handler) ("EIG requires square matrix"); |
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257 return -1; |
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258 } |
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259 |
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260 octave_idx_type info = 0; |
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261 |
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262 FloatMatrix atmp = a; |
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263 float *tmp_data = atmp.fortran_vec (); |
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264 |
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265 FloatColumnVector wr (n); |
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266 float *pwr = wr.fortran_vec (); |
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267 |
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268 octave_idx_type lwork = -1; |
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269 float dummy_work; |
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270 |
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271 F77_XFCN (ssyev, SSYEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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272 F77_CONST_CHAR_ARG2 ("U", 1), |
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273 n, tmp_data, n, pwr, &dummy_work, lwork, info |
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274 F77_CHAR_ARG_LEN (1) |
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275 F77_CHAR_ARG_LEN (1))); |
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276 |
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277 if (info == 0) |
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278 { |
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279 lwork = static_cast<octave_idx_type> (dummy_work); |
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280 Array<float> work (dim_vector (lwork, 1)); |
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281 float *pwork = work.fortran_vec (); |
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282 |
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283 F77_XFCN (ssyev, SSYEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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284 F77_CONST_CHAR_ARG2 ("U", 1), |
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285 n, tmp_data, n, pwr, pwork, lwork, info |
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286 F77_CHAR_ARG_LEN (1) |
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287 F77_CHAR_ARG_LEN (1))); |
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288 |
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289 if (info < 0) |
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290 { |
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291 (*current_liboctave_error_handler) ("unrecoverable error in ssyev"); |
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292 return info; |
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293 } |
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294 |
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295 if (info > 0) |
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296 { |
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297 (*current_liboctave_error_handler) ("ssyev failed to converge"); |
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298 return info; |
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299 } |
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300 |
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301 lambda = FloatComplexColumnVector (wr); |
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302 v = calc_ev ? FloatComplexMatrix (atmp) : FloatComplexMatrix (); |
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303 } |
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304 else |
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305 (*current_liboctave_error_handler) ("ssyev workspace query failed"); |
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306 |
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307 return info; |
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308 } |
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309 |
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310 octave_idx_type |
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311 FloatEIG::init (const FloatComplexMatrix& a, bool calc_ev) |
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312 { |
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313 if (a.any_element_is_inf_or_nan ()) |
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314 { |
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315 (*current_liboctave_error_handler) |
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316 ("EIG: matrix contains Inf or NaN values"); |
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317 return -1; |
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318 } |
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319 |
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320 if (a.is_hermitian ()) |
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321 return hermitian_init (a, calc_ev); |
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322 |
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323 octave_idx_type n = a.rows (); |
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324 |
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325 if (n != a.cols ()) |
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326 { |
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327 (*current_liboctave_error_handler) ("EIG requires square matrix"); |
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328 return -1; |
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329 } |
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330 |
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331 octave_idx_type info = 0; |
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332 |
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333 FloatComplexMatrix atmp = a; |
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334 FloatComplex *tmp_data = atmp.fortran_vec (); |
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335 |
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336 FloatComplexColumnVector w (n); |
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337 FloatComplex *pw = w.fortran_vec (); |
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338 |
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339 octave_idx_type nvr = calc_ev ? n : 0; |
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340 FloatComplexMatrix vtmp (nvr, nvr); |
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341 FloatComplex *pv = vtmp.fortran_vec (); |
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342 |
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343 octave_idx_type lwork = -1; |
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344 FloatComplex dummy_work; |
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345 |
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346 octave_idx_type lrwork = 2*n; |
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347 Array<float> rwork (dim_vector (lrwork, 1)); |
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348 float *prwork = rwork.fortran_vec (); |
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349 |
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350 FloatComplex *dummy = 0; |
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351 octave_idx_type idummy = 1; |
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352 |
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353 F77_XFCN (cgeev, CGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
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354 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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355 n, tmp_data, n, pw, dummy, idummy, |
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356 pv, n, &dummy_work, lwork, prwork, info |
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357 F77_CHAR_ARG_LEN (1) |
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358 F77_CHAR_ARG_LEN (1))); |
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359 |
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360 if (info == 0) |
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361 { |
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362 lwork = static_cast<octave_idx_type> (dummy_work.real ()); |
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363 Array<FloatComplex> work (dim_vector (lwork, 1)); |
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364 FloatComplex *pwork = work.fortran_vec (); |
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365 |
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366 F77_XFCN (cgeev, CGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
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367 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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368 n, tmp_data, n, pw, dummy, idummy, |
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369 pv, n, 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 cgeev"); |
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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) ("cgeev 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 = w; |
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386 v = vtmp; |
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387 } |
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388 else |
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389 (*current_liboctave_error_handler) ("cgeev 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 octave_idx_type |
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395 FloatEIG::hermitian_init (const FloatComplexMatrix& a, bool calc_ev) |
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396 { |
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397 octave_idx_type n = a.rows (); |
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398 |
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399 if (n != a.cols ()) |
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400 { |
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401 (*current_liboctave_error_handler) ("EIG requires square matrix"); |
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402 return -1; |
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403 } |
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404 |
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405 octave_idx_type info = 0; |
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406 |
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407 FloatComplexMatrix atmp = a; |
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408 FloatComplex *tmp_data = atmp.fortran_vec (); |
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409 |
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410 FloatColumnVector wr (n); |
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411 float *pwr = wr.fortran_vec (); |
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412 |
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413 octave_idx_type lwork = -1; |
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414 FloatComplex dummy_work; |
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415 |
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416 octave_idx_type lrwork = 3*n; |
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417 Array<float> rwork (dim_vector (lrwork, 1)); |
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418 float *prwork = rwork.fortran_vec (); |
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419 |
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420 F77_XFCN (cheev, CHEEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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421 F77_CONST_CHAR_ARG2 ("U", 1), |
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422 n, tmp_data, n, pwr, &dummy_work, lwork, |
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423 prwork, info |
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424 F77_CHAR_ARG_LEN (1) |
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425 F77_CHAR_ARG_LEN (1))); |
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426 |
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427 if (info == 0) |
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428 { |
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429 lwork = static_cast<octave_idx_type> (dummy_work.real ()); |
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430 Array<FloatComplex> work (dim_vector (lwork, 1)); |
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431 FloatComplex *pwork = work.fortran_vec (); |
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432 |
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433 F77_XFCN (cheev, CHEEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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434 F77_CONST_CHAR_ARG2 ("U", 1), |
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435 n, tmp_data, n, pwr, pwork, lwork, prwork, info |
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436 F77_CHAR_ARG_LEN (1) |
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437 F77_CHAR_ARG_LEN (1))); |
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438 |
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439 if (info < 0) |
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440 { |
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441 (*current_liboctave_error_handler) ("unrecoverable error in cheev"); |
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442 return info; |
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443 } |
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444 |
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445 if (info > 0) |
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446 { |
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447 (*current_liboctave_error_handler) ("cheev failed to converge"); |
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448 return info; |
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449 } |
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450 |
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451 lambda = FloatComplexColumnVector (wr); |
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452 v = calc_ev ? FloatComplexMatrix (atmp) : FloatComplexMatrix (); |
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453 } |
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454 else |
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455 (*current_liboctave_error_handler) ("cheev workspace query failed"); |
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456 |
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457 return info; |
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458 } |
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459 |
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460 octave_idx_type |
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461 FloatEIG::init (const FloatMatrix& a, const FloatMatrix& b, bool calc_ev) |
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462 { |
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463 if (a.any_element_is_inf_or_nan () || b.any_element_is_inf_or_nan ()) |
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464 { |
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465 (*current_liboctave_error_handler) |
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466 ("EIG: matrix contains Inf or NaN values"); |
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467 return -1; |
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468 } |
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469 |
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470 octave_idx_type n = a.rows (); |
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471 octave_idx_type nb = b.rows (); |
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472 |
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473 if (n != a.cols () || nb != b.cols ()) |
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474 { |
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475 (*current_liboctave_error_handler) ("EIG requires square matrix"); |
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476 return -1; |
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477 } |
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478 |
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479 if (n != nb) |
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480 { |
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481 (*current_liboctave_error_handler) ("EIG requires same size matrices"); |
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482 return -1; |
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483 } |
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484 |
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485 octave_idx_type info = 0; |
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486 |
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487 FloatMatrix tmp = b; |
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488 float *tmp_data = tmp.fortran_vec (); |
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489 |
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490 F77_XFCN (spotrf, SPOTRF, (F77_CONST_CHAR_ARG2 ("L", 1), |
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491 n, tmp_data, n, |
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492 info |
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493 F77_CHAR_ARG_LEN (1) |
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494 F77_CHAR_ARG_LEN (1))); |
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495 |
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496 if (a.is_symmetric () && b.is_symmetric () && info == 0) |
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497 return symmetric_init (a, b, calc_ev); |
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498 |
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499 FloatMatrix atmp = a; |
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500 float *atmp_data = atmp.fortran_vec (); |
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501 |
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502 FloatMatrix btmp = b; |
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503 float *btmp_data = btmp.fortran_vec (); |
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504 |
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505 Array<float> ar (dim_vector (n, 1)); |
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506 float *par = ar.fortran_vec (); |
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507 |
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508 Array<float> ai (dim_vector (n, 1)); |
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509 float *pai = ai.fortran_vec (); |
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510 |
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511 Array<float> beta (dim_vector (n, 1)); |
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512 float *pbeta = beta.fortran_vec (); |
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513 |
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514 volatile octave_idx_type nvr = calc_ev ? n : 0; |
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515 FloatMatrix vr (nvr, nvr); |
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516 float *pvr = vr.fortran_vec (); |
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517 |
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518 octave_idx_type lwork = -1; |
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519 float dummy_work; |
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520 |
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521 float *dummy = 0; |
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522 octave_idx_type idummy = 1; |
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523 |
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524 F77_XFCN (sggev, SGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
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525 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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526 n, atmp_data, n, btmp_data, n, |
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527 par, pai, pbeta, |
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528 dummy, idummy, pvr, n, |
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529 &dummy_work, lwork, info |
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530 F77_CHAR_ARG_LEN (1) |
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531 F77_CHAR_ARG_LEN (1))); |
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532 |
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533 if (info == 0) |
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534 { |
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535 lwork = static_cast<octave_idx_type> (dummy_work); |
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536 Array<float> work (dim_vector (lwork, 1)); |
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537 float *pwork = work.fortran_vec (); |
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538 |
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539 F77_XFCN (sggev, SGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
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540 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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541 n, atmp_data, n, btmp_data, n, |
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542 par, pai, pbeta, |
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543 dummy, idummy, pvr, n, |
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544 pwork, lwork, info |
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545 F77_CHAR_ARG_LEN (1) |
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546 F77_CHAR_ARG_LEN (1))); |
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547 |
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548 if (info < 0) |
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549 { |
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550 (*current_liboctave_error_handler) ("unrecoverable error in sggev"); |
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551 return info; |
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552 } |
8339
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553 |
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554 if (info > 0) |
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555 { |
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556 (*current_liboctave_error_handler) ("sggev failed to converge"); |
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557 return info; |
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|
558 } |
8339
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559 |
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560 lambda.resize (n); |
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561 v.resize (nvr, nvr); |
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562 |
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563 for (octave_idx_type j = 0; j < n; j++) |
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564 { |
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565 if (ai.elem (j) == 0.0) |
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566 { |
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untabify liboctave C++ sources
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567 lambda.elem (j) = FloatComplex (ar.elem (j) / beta.elem (j)); |
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568 for (octave_idx_type i = 0; i < nvr; i++) |
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569 v.elem (i, j) = vr.elem (i, j); |
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570 } |
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571 else |
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572 { |
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573 if (j+1 >= n) |
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574 { |
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575 (*current_liboctave_error_handler) ("EIG: internal error"); |
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576 return -1; |
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577 } |
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578 |
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579 lambda.elem(j) = FloatComplex (ar.elem(j) / beta.elem (j), |
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580 ai.elem(j) / beta.elem (j)); |
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581 lambda.elem(j+1) = FloatComplex (ar.elem(j+1) / beta.elem (j+1), |
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582 ai.elem(j+1) / beta.elem (j+1)); |
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583 |
10314
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584 for (octave_idx_type i = 0; i < nvr; i++) |
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585 { |
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586 float real_part = vr.elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
587 float imag_part = vr.elem (i, j+1); |
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diff
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588 v.elem (i, j) = FloatComplex (real_part, imag_part); |
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589 v.elem (i, j+1) = FloatComplex (real_part, -imag_part); |
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|
590 } |
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591 j++; |
07ebe522dac2
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diff
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|
592 } |
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|
593 } |
8339
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|
594 } |
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|
595 else |
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596 (*current_liboctave_error_handler) ("sggev workspace query failed"); |
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597 |
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598 return info; |
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599 } |
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600 |
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601 octave_idx_type |
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602 FloatEIG::symmetric_init (const FloatMatrix& a, const FloatMatrix& b, bool calc_ev) |
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603 { |
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604 octave_idx_type n = a.rows (); |
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605 octave_idx_type nb = b.rows (); |
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606 |
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607 if (n != a.cols () || nb != b.cols ()) |
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608 { |
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|
609 (*current_liboctave_error_handler) ("EIG requires square matrix"); |
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610 return -1; |
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|
611 } |
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|
612 |
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613 if (n != nb) |
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|
614 { |
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615 (*current_liboctave_error_handler) ("EIG requires same size matrices"); |
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616 return -1; |
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|
617 } |
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|
618 |
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619 octave_idx_type info = 0; |
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620 |
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621 FloatMatrix atmp = a; |
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622 float *atmp_data = atmp.fortran_vec (); |
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|
623 |
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624 FloatMatrix btmp = b; |
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625 float *btmp_data = btmp.fortran_vec (); |
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|
626 |
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|
627 FloatColumnVector wr (n); |
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628 float *pwr = wr.fortran_vec (); |
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|
629 |
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630 octave_idx_type lwork = -1; |
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|
631 float dummy_work; |
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632 |
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633 F77_XFCN (ssygv, SSYGV, (1, F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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634 F77_CONST_CHAR_ARG2 ("U", 1), |
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635 n, atmp_data, n, |
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636 btmp_data, n, |
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637 pwr, &dummy_work, lwork, info |
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|
638 F77_CHAR_ARG_LEN (1) |
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|
639 F77_CHAR_ARG_LEN (1))); |
8339
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|
640 |
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|
641 if (info == 0) |
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|
642 { |
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643 lwork = static_cast<octave_idx_type> (dummy_work); |
11570
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|
644 Array<float> work (dim_vector (lwork, 1)); |
8339
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645 float *pwork = work.fortran_vec (); |
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|
646 |
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|
647 F77_XFCN (ssygv, SSYGV, (1, F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
10314
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|
648 F77_CONST_CHAR_ARG2 ("U", 1), |
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649 n, atmp_data, n, |
12df7854fa7c
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|
650 btmp_data, n, |
10314
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|
651 pwr, pwork, lwork, info |
07ebe522dac2
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|
652 F77_CHAR_ARG_LEN (1) |
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|
653 F77_CHAR_ARG_LEN (1))); |
8339
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diff
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|
654 |
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diff
changeset
|
655 if (info < 0) |
10314
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diff
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|
656 { |
07ebe522dac2
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diff
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|
657 (*current_liboctave_error_handler) ("unrecoverable error in ssygv"); |
07ebe522dac2
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diff
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|
658 return info; |
07ebe522dac2
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diff
changeset
|
659 } |
8339
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|
660 |
18c4ded8612a
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|
661 if (info > 0) |
10314
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|
662 { |
07ebe522dac2
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diff
changeset
|
663 (*current_liboctave_error_handler) ("ssygv failed to converge"); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
664 return info; |
07ebe522dac2
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diff
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|
665 } |
8339
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|
666 |
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|
667 lambda = FloatComplexColumnVector (wr); |
18c4ded8612a
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7789
diff
changeset
|
668 v = calc_ev ? FloatComplexMatrix (atmp) : FloatComplexMatrix (); |
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parents:
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diff
changeset
|
669 } |
18c4ded8612a
Add generalized eigenvalue functions
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parents:
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diff
changeset
|
670 else |
18c4ded8612a
Add generalized eigenvalue functions
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parents:
7789
diff
changeset
|
671 (*current_liboctave_error_handler) ("ssygv workspace query failed"); |
18c4ded8612a
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parents:
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diff
changeset
|
672 |
18c4ded8612a
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parents:
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diff
changeset
|
673 return info; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
674 } |
18c4ded8612a
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parents:
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diff
changeset
|
675 |
18c4ded8612a
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parents:
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diff
changeset
|
676 octave_idx_type |
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Add generalized eigenvalue functions
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diff
changeset
|
677 FloatEIG::init (const FloatComplexMatrix& a, const FloatComplexMatrix& b, bool calc_ev) |
18c4ded8612a
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parents:
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diff
changeset
|
678 { |
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7789
diff
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|
679 if (a.any_element_is_inf_or_nan () || b.any_element_is_inf_or_nan ()) |
18c4ded8612a
Add generalized eigenvalue functions
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parents:
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diff
changeset
|
680 { |
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diff
changeset
|
681 (*current_liboctave_error_handler) |
10314
07ebe522dac2
untabify liboctave C++ sources
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|
682 ("EIG: matrix contains Inf or NaN values"); |
8339
18c4ded8612a
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7789
diff
changeset
|
683 return -1; |
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parents:
7789
diff
changeset
|
684 } |
18c4ded8612a
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parents:
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diff
changeset
|
685 |
18c4ded8612a
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diff
changeset
|
686 octave_idx_type n = a.rows (); |
18c4ded8612a
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parents:
7789
diff
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|
687 octave_idx_type nb = b.rows (); |
18c4ded8612a
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parents:
7789
diff
changeset
|
688 |
18c4ded8612a
Add generalized eigenvalue functions
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parents:
7789
diff
changeset
|
689 if (n != a.cols () || nb != b.cols()) |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
690 { |
18c4ded8612a
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parents:
7789
diff
changeset
|
691 (*current_liboctave_error_handler) ("EIG requires square matrix"); |
18c4ded8612a
Add generalized eigenvalue functions
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parents:
7789
diff
changeset
|
692 return -1; |
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parents:
7789
diff
changeset
|
693 } |
18c4ded8612a
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Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
694 |
18c4ded8612a
Add generalized eigenvalue functions
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parents:
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diff
changeset
|
695 if (n != nb) |
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Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
696 { |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
697 (*current_liboctave_error_handler) ("EIG requires same size matrices"); |
18c4ded8612a
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Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
698 return -1; |
18c4ded8612a
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parents:
7789
diff
changeset
|
699 } |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
700 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
701 octave_idx_type info = 0; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
702 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
703 FloatComplexMatrix tmp = b; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
704 FloatComplex *tmp_data = tmp.fortran_vec (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
705 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
706 F77_XFCN (cpotrf, CPOTRF, (F77_CONST_CHAR_ARG2 ("L", 1), |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
707 n, tmp_data, n, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
708 info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
709 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
710 F77_CHAR_ARG_LEN (1))); |
8339
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
711 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
712 if (a.is_hermitian () && b.is_hermitian () && info == 0) |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
713 return hermitian_init (a, calc_ev); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
714 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
715 FloatComplexMatrix atmp = a; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
716 FloatComplex *atmp_data = atmp.fortran_vec (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
717 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
718 FloatComplexMatrix btmp = b; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
719 FloatComplex *btmp_data = btmp.fortran_vec (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
720 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
721 FloatComplexColumnVector alpha (n); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
722 FloatComplex *palpha = alpha.fortran_vec (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
723 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
724 FloatComplexColumnVector beta (n); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
725 FloatComplex *pbeta = beta.fortran_vec (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
726 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
727 octave_idx_type nvr = calc_ev ? n : 0; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
728 FloatComplexMatrix vtmp (nvr, nvr); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
729 FloatComplex *pv = vtmp.fortran_vec (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
730 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
731 octave_idx_type lwork = -1; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
732 FloatComplex dummy_work; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
733 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
734 octave_idx_type lrwork = 8*n; |
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
735 Array<float> rwork (dim_vector (lrwork, 1)); |
8339
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
736 float *prwork = rwork.fortran_vec (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
737 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
738 FloatComplex *dummy = 0; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
739 octave_idx_type idummy = 1; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
740 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
741 F77_XFCN (cggev, CGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
742 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
743 n, atmp_data, n, btmp_data, n, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
744 palpha, pbeta, dummy, idummy, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
745 pv, n, &dummy_work, lwork, prwork, info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
746 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
747 F77_CHAR_ARG_LEN (1))); |
8339
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
748 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
749 if (info == 0) |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
750 { |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
751 lwork = static_cast<octave_idx_type> (dummy_work.real ()); |
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
752 Array<FloatComplex> work (dim_vector (lwork, 1)); |
8339
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
753 FloatComplex *pwork = work.fortran_vec (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
754 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
755 F77_XFCN (cggev, CGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
756 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
757 n, atmp_data, n, btmp_data, n, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
758 palpha, pbeta, dummy, idummy, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
759 pv, n, pwork, lwork, prwork, info |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
760 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
761 F77_CHAR_ARG_LEN (1))); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11570
diff
changeset
|
762 |
8339
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
763 if (info < 0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
764 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
765 (*current_liboctave_error_handler) ("unrecoverable error in cggev"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
766 return info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
767 } |
8339
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
768 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
769 if (info > 0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
770 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
771 (*current_liboctave_error_handler) ("cggev failed to converge"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
772 return info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
773 } |
8339
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
774 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
775 lambda.resize (n); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
776 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
777 for (octave_idx_type j = 0; j < n; j++) |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
778 lambda.elem (j) = alpha.elem (j) / beta.elem(j); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
779 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
780 v = vtmp; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
781 } |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
782 else |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
783 (*current_liboctave_error_handler) ("cggev workspace query failed"); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
784 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
785 return info; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
786 } |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
787 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
788 octave_idx_type |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
789 FloatEIG::hermitian_init (const FloatComplexMatrix& a, const FloatComplexMatrix& b, bool calc_ev) |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
790 { |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
791 octave_idx_type n = a.rows (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
792 octave_idx_type nb = b.rows (); |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
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793 |
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794 if (n != a.cols () || nb != b.cols ()) |
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795 { |
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796 (*current_liboctave_error_handler) ("EIG requires square matrix"); |
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797 return -1; |
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798 } |
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799 |
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800 if (n != nb) |
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801 { |
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802 (*current_liboctave_error_handler) ("EIG requires same size matrices"); |
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803 return -1; |
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804 } |
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805 |
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806 octave_idx_type info = 0; |
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807 |
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808 FloatComplexMatrix atmp = a; |
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809 FloatComplex *atmp_data = atmp.fortran_vec (); |
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810 |
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811 FloatComplexMatrix btmp = b; |
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812 FloatComplex *btmp_data = btmp.fortran_vec (); |
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813 |
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814 FloatColumnVector wr (n); |
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815 float *pwr = wr.fortran_vec (); |
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816 |
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817 octave_idx_type lwork = -1; |
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diff
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818 FloatComplex dummy_work; |
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819 |
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820 octave_idx_type lrwork = 3*n; |
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821 Array<float> rwork (dim_vector (lrwork, 1)); |
8339
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822 float *prwork = rwork.fortran_vec (); |
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823 |
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824 F77_XFCN (chegv, CHEGV, (1, F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
10314
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diff
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|
825 F77_CONST_CHAR_ARG2 ("U", 1), |
11586
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diff
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|
826 n, atmp_data, n, |
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827 btmp_data, n, |
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|
828 pwr, &dummy_work, lwork, |
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diff
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|
829 prwork, info |
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diff
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830 F77_CHAR_ARG_LEN (1) |
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untabify liboctave C++ sources
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|
831 F77_CHAR_ARG_LEN (1))); |
8339
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|
832 |
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833 if (info == 0) |
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|
834 { |
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835 lwork = static_cast<octave_idx_type> (dummy_work.real ()); |
11570
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parents:
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|
836 Array<FloatComplex> work (dim_vector (lwork, 1)); |
8339
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parents:
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diff
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|
837 FloatComplex *pwork = work.fortran_vec (); |
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|
838 |
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|
839 F77_XFCN (chegv, CHEGV, (1, F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
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840 F77_CONST_CHAR_ARG2 ("U", 1), |
11586
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diff
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841 n, atmp_data, n, |
12df7854fa7c
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parents:
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diff
changeset
|
842 btmp_data, n, |
10314
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diff
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|
843 pwr, pwork, lwork, prwork, info |
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untabify liboctave C++ sources
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parents:
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diff
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844 F77_CHAR_ARG_LEN (1) |
07ebe522dac2
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diff
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|
845 F77_CHAR_ARG_LEN (1))); |
8339
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|
846 |
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Add generalized eigenvalue functions
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diff
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|
847 if (info < 0) |
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07ebe522dac2
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|
848 { |
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untabify liboctave C++ sources
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|
849 (*current_liboctave_error_handler) ("unrecoverable error in zhegv"); |
07ebe522dac2
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parents:
10158
diff
changeset
|
850 return info; |
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diff
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|
851 } |
8339
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diff
changeset
|
852 |
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parents:
7789
diff
changeset
|
853 if (info > 0) |
10314
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parents:
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diff
changeset
|
854 { |
07ebe522dac2
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parents:
10158
diff
changeset
|
855 (*current_liboctave_error_handler) ("zhegv failed to converge"); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
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|
856 return info; |
07ebe522dac2
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parents:
10158
diff
changeset
|
857 } |
8339
18c4ded8612a
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diff
changeset
|
858 |
18c4ded8612a
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parents:
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diff
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|
859 lambda = FloatComplexColumnVector (wr); |
18c4ded8612a
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Jarkko Kaleva <d3roga@gmail.com>
parents:
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diff
changeset
|
860 v = calc_ev ? FloatComplexMatrix (atmp) : FloatComplexMatrix (); |
18c4ded8612a
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Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
861 } |
18c4ded8612a
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Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
862 else |
18c4ded8612a
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Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
863 (*current_liboctave_error_handler) ("zhegv workspace query failed"); |
18c4ded8612a
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parents:
7789
diff
changeset
|
864 |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
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diff
changeset
|
865 return info; |
18c4ded8612a
Add generalized eigenvalue functions
Jarkko Kaleva <d3roga@gmail.com>
parents:
7789
diff
changeset
|
866 } |