Mercurial > octave
annotate liboctave/numeric/schur.cc @ 23795:980f39c3ab90
Use C++11 nullptr rather than 0 in code (bug #51565).
* Backend.cc, BaseControl.h, ButtonGroup.cc, CheckBoxControl.cc,
Container.cc, ContextMenu.cc, ContextMenu.h, EditControl.cc, Figure.cc,
FigureWindow.cc, ListBoxControl.cc, Menu.cc, Menu.h, MouseModeActionGroup.cc,
Object.cc, ObjectProxy.cc, Panel.cc, PopupMenuControl.cc, PushButtonControl.cc,
PushTool.cc, RadioButtonControl.cc, SliderControl.cc, TextControl.cc,
ToggleButtonControl.cc, ToggleTool.cc, ToolBar.cc, ToolBar.h, ToolBarButton.cc,
ToolBarButton.h, QTerminal.h, BlockArray.cpp, Emulation.cpp, Filter.cpp,
Filter.h, History.cpp, KeyboardTranslator.cpp, QUnixTerminalImpl.h, Screen.cpp,
ScreenWindow.cpp, ScreenWindow.h, SelfListener.h, TerminalCharacterDecoder.cpp,
TerminalModel.cpp, TerminalView.cpp, TerminalView.h, kpty.cpp, dialog.cc,
dialog.h, files-dock-widget.cc, find-files-model.h, file-editor-tab.cc,
file-editor.cc, main-window.cc, octave-dock-widget.cc, octave-gui.cc,
parser.cc, resource-manager.cc, resource-manager.h, shortcut-manager.cc,
shortcut-manager.h, workspace-model.cc, workspace-view.cc, __magick_read__.cc,
c-file-ptr-stream.cc, c-file-ptr-stream.h, call-stack.cc, call-stack.h,
daspk.cc, dasrt.cc, dassl.cc, det.cc, display.h, error.cc, ft-text-renderer.cc,
gl-render.cc, gl2ps-print.cc, graphics.in.h, help.cc, input.cc, interpreter.cc,
load-path.cc, load-save.cc, ls-hdf5.cc, ls-hdf5.h, ls-mat5.cc, lsode.cc,
mex.cc, mxarray.in.h, oct-errno.h, oct-hist.cc, oct-iostrm.h, oct-procbuf.cc,
oct-procbuf.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.h,
oct-tex-parser.in.yy, octave-link.h, pager.cc, pager.h, pr-output.cc,
procstream.h, qz.cc, sighandlers.cc, svd.cc, symtab.cc, symtab.h,
text-renderer.cc, txt-eng.h, utils.cc, variables.cc, zfstream.cc, zfstream.h,
__glpk__.cc, __init_fltk__.cc, __ode15__.cc, audiodevinfo.cc, ccolamd.cc,
colamd.cc, dmperm.cc, gzip.cc, symbfact.cc, ov-base-int.cc, ov-base-int.h,
ov-base-mat.h, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-bool-sparse.cc,
ov-bool.cc, ov-builtin.h, ov-cell.cc, ov-class.cc, ov-complex.cc, ov-cx-mat.cc,
ov-cx-sparse.cc, ov-fcn-handle.cc, ov-fcn-inline.cc, ov-fcn.cc, ov-fcn.h,
ov-float.cc, ov-flt-complex.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc, ov-java.cc,
ov-java.h, ov-mex-fcn.cc, ov-oncleanup.cc, ov-range.cc, ov-range.h,
ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc, ov-typeinfo.cc,
ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, octave.cc, bp-table.cc,
bp-table.h, jit-ir.h, jit-typeinfo.cc, lex.h, profiler.cc, pt-arg-list.cc,
pt-array-list.cc, pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h,
pt-cell.cc, pt-classdef.cc, pt-classdef.h, pt-colon.cc, pt-colon.h, pt-decl.cc,
pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.h, pt-fcn-handle.cc,
pt-fcn-handle.h, pt-idx.cc, pt-jit.cc, pt-loop.h, pt-mat.cc, pt-select.h,
pt-stmt.h, pt-tm-const.h, pt-unop.cc, pt-unop.h, pt.cc, Array-C.cc, Array-d.cc,
Array-f.cc, Array-fC.cc, Array-util.cc, Array.cc, Array.h, CMatrix.cc,
CSparse.cc, DiagArray2.h, MArray.h, MDiagArray2.h, MatrixType.cc, Sparse.cc,
Sparse.h, dMatrix.cc, dSparse.cc, fMatrix.cc, idx-vector.cc, idx-vector.h,
DAEFunc.h, DAERTFunc.h, ODEFunc.h, ODESFunc.h, eigs-base.cc, oct-fftw.cc,
oct-fftw.h, oct-rand.h, oct-spparms.h, schur.cc, sparse-chol.cc,
sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, child-list.h, dir-ops.cc,
dir-ops.h, file-ops.cc, lo-sysdep.cc, oct-env.h, oct-time.cc, cmd-edit.cc,
cmd-edit.h, cmd-hist.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, oct-shlib.cc,
oct-shlib.h, oct-sort.cc, oct-sort.h, quit.cc, singleton-cleanup.h, str-vec.cc:
Use C++11 nullptr rather than 0 in code (bug #51565).
author | Rik <rik@octave.org> |
---|---|
date | Tue, 25 Jul 2017 14:54:10 -0700 |
parents | 08036a7f3660 |
children | 194eb4bd202b |
rev | line source |
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457 | 1 /* |
2 | |
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3 Copyright (C) 1994-2017 John W. Eaton |
457 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
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8 under the terms of the GNU General Public License as published by |
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9 the Free Software Foundation; either version 3 of the License, or |
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10 (at your option) any later version. |
457 | 11 |
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12 Octave is distributed in the hope that it will be useful, but |
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13 WITHOUT ANY WARRANTY; without even the implied warranty of |
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14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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15 GNU General Public License for more details. |
457 | 16 |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
457 | 20 |
21 */ | |
22 | |
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23 #if defined (HAVE_CONFIG_H) |
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24 # include "config.h" |
457 | 25 #endif |
26 | |
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27 #include "Array.h" |
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28 #include "CMatrix.h" |
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29 #include "dMatrix.h" |
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30 #include "fCMatrix.h" |
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31 #include "fMatrix.h" |
457 | 32 #include "lo-error.h" |
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33 #include "lo-lapack-proto.h" |
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34 #include "oct-locbuf.h" |
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35 #include "schur.h" |
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36 |
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37 namespace octave |
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38 { |
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39 namespace math |
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40 { |
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41 // For real types. |
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42 |
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43 static F77_INT |
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44 select_ana (const double& a, const double&) |
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45 { |
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46 return (a < 0.0); |
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47 } |
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48 |
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49 static F77_INT |
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50 select_dig (const double& a, const double& b) |
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51 { |
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52 return (hypot (a, b) < 1.0); |
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53 } |
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54 |
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55 static F77_INT |
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56 select_ana (const float& a, const float&) |
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57 { |
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58 return (a < 0.0); |
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59 } |
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60 |
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61 static F77_INT |
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62 select_dig (const float& a, const float& b) |
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63 { |
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64 return (hypot (a, b) < 1.0); |
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65 } |
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66 |
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67 // For complex types. |
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68 |
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69 static F77_INT |
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70 select_ana (const F77_DBLE_CMPLX& a_arg) |
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71 { |
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72 const Complex a = reinterpret_cast<const Complex&> (a_arg); |
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73 return a.real () < 0.0; |
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74 } |
1929 | 75 |
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76 static F77_INT |
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77 select_dig (const F77_DBLE_CMPLX& a_arg) |
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78 { |
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79 const Complex& a = reinterpret_cast<const Complex&> (a_arg); |
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80 return (abs (a) < 1.0); |
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81 } |
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82 |
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83 static F77_INT |
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84 select_ana (const F77_CMPLX& a_arg) |
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85 { |
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86 const FloatComplex& a = reinterpret_cast<const FloatComplex&> (a_arg); |
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87 return a.real () < 0.0; |
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88 } |
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89 |
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90 static F77_INT |
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91 select_dig (const F77_CMPLX& a_arg) |
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92 { |
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93 const FloatComplex& a = reinterpret_cast<const FloatComplex&> (a_arg); |
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94 return (abs (a) < 1.0); |
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95 } |
457 | 96 |
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97 template <> |
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98 F77_INT |
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99 schur<Matrix>::init (const Matrix& a, const std::string& ord, bool calc_unitary) |
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100 { |
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101 F77_INT a_nr = to_f77_int (a.rows ()); |
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102 F77_INT a_nc = to_f77_int (a.cols ()); |
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103 |
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104 if (a_nr != a_nc) |
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105 (*current_liboctave_error_handler) ("schur: requires square matrix"); |
3334 | 106 |
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107 if (a_nr == 0) |
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108 { |
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109 schur_mat.clear (); |
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110 unitary_mat.clear (); |
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111 return 0; |
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112 } |
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113 |
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114 // Workspace requirements may need to be fixed if any of the |
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115 // following change. |
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117 char jobvs; |
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118 char sense = 'N'; |
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119 char sort = 'N'; |
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120 |
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121 if (calc_unitary) |
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122 jobvs = 'V'; |
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123 else |
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124 jobvs = 'N'; |
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126 char ord_char = (ord.empty () ? 'U' : ord[0]); |
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127 |
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128 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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129 sort = 'S'; |
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131 volatile double_selector selector = nullptr; |
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132 if (ord_char == 'A' || ord_char == 'a') |
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133 selector = select_ana; |
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134 else if (ord_char == 'D' || ord_char == 'd') |
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135 selector = select_dig; |
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137 F77_INT n = a_nc; |
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138 F77_INT lwork = 8 * n; |
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139 F77_INT liwork = 1; |
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140 F77_INT info; |
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141 F77_INT sdim; |
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142 double rconde; |
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143 double rcondv; |
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144 |
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145 schur_mat = a; |
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146 |
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147 if (calc_unitary) |
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148 unitary_mat.clear (n, n); |
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149 |
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150 double *s = schur_mat.fortran_vec (); |
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151 double *q = unitary_mat.fortran_vec (); |
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152 |
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153 Array<double> wr (dim_vector (n, 1)); |
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154 double *pwr = wr.fortran_vec (); |
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155 |
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156 Array<double> wi (dim_vector (n, 1)); |
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157 double *pwi = wi.fortran_vec (); |
457 | 158 |
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159 Array<double> work (dim_vector (lwork, 1)); |
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160 double *pwork = work.fortran_vec (); |
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161 |
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162 // BWORK is not referenced for the non-ordered Schur routine. |
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163 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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164 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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165 F77_INT *pbwork = bwork.fortran_vec (); |
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166 |
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167 Array<F77_INT> iwork (dim_vector (liwork, 1)); |
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168 F77_INT *piwork = iwork.fortran_vec (); |
457 | 169 |
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170 F77_XFCN (dgeesx, DGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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171 F77_CONST_CHAR_ARG2 (&sort, 1), |
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172 selector, |
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173 F77_CONST_CHAR_ARG2 (&sense, 1), |
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174 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv, |
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175 pwork, lwork, piwork, liwork, pbwork, info |
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176 F77_CHAR_ARG_LEN (1) |
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177 F77_CHAR_ARG_LEN (1) |
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178 F77_CHAR_ARG_LEN (1))); |
1929 | 179 |
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180 return info; |
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181 } |
1929 | 182 |
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183 template <> |
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184 F77_INT |
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185 schur<FloatMatrix>::init (const FloatMatrix& a, const std::string& ord, |
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186 bool calc_unitary) |
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187 { |
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188 F77_INT a_nr = to_f77_int (a.rows ()); |
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189 F77_INT a_nc = to_f77_int (a.cols ()); |
1929 | 190 |
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191 if (a_nr != a_nc) |
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192 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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193 |
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194 if (a_nr == 0) |
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195 { |
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196 schur_mat.clear (); |
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197 unitary_mat.clear (); |
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198 return 0; |
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199 } |
457 | 200 |
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201 // Workspace requirements may need to be fixed if any of the |
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202 // following change. |
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203 |
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204 char jobvs; |
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205 char sense = 'N'; |
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206 char sort = 'N'; |
1929 | 207 |
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208 if (calc_unitary) |
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209 jobvs = 'V'; |
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210 else |
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211 jobvs = 'N'; |
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212 |
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213 char ord_char = (ord.empty () ? 'U' : ord[0]); |
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214 |
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215 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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216 sort = 'S'; |
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217 |
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218 volatile float_selector selector = nullptr; |
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219 if (ord_char == 'A' || ord_char == 'a') |
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220 selector = select_ana; |
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221 else if (ord_char == 'D' || ord_char == 'd') |
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222 selector = select_dig; |
1929 | 223 |
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224 F77_INT n = a_nc; |
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225 F77_INT lwork = 8 * n; |
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226 F77_INT liwork = 1; |
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227 F77_INT info; |
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228 F77_INT sdim; |
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229 float rconde; |
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230 float rcondv; |
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231 |
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232 schur_mat = a; |
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234 if (calc_unitary) |
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235 unitary_mat.clear (n, n); |
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236 |
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237 float *s = schur_mat.fortran_vec (); |
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238 float *q = unitary_mat.fortran_vec (); |
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239 |
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240 Array<float> wr (dim_vector (n, 1)); |
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241 float *pwr = wr.fortran_vec (); |
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242 |
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243 Array<float> wi (dim_vector (n, 1)); |
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244 float *pwi = wi.fortran_vec (); |
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246 Array<float> work (dim_vector (lwork, 1)); |
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247 float *pwork = work.fortran_vec (); |
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248 |
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249 // BWORK is not referenced for the non-ordered Schur routine. |
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250 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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251 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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252 F77_INT *pbwork = bwork.fortran_vec (); |
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253 |
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254 Array<F77_INT> iwork (dim_vector (liwork, 1)); |
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255 F77_INT *piwork = iwork.fortran_vec (); |
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256 |
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257 F77_XFCN (sgeesx, SGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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258 F77_CONST_CHAR_ARG2 (&sort, 1), |
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259 selector, |
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260 F77_CONST_CHAR_ARG2 (&sense, 1), |
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261 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv, |
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262 pwork, lwork, piwork, liwork, pbwork, info |
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263 F77_CHAR_ARG_LEN (1) |
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264 F77_CHAR_ARG_LEN (1) |
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265 F77_CHAR_ARG_LEN (1))); |
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266 |
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267 return info; |
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268 } |
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269 |
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270 template <> |
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271 F77_INT |
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272 schur<ComplexMatrix>::init (const ComplexMatrix& a, const std::string& ord, |
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273 bool calc_unitary) |
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274 { |
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275 F77_INT a_nr = to_f77_int (a.rows ()); |
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276 F77_INT a_nc = to_f77_int (a.cols ()); |
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277 |
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278 if (a_nr != a_nc) |
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279 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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280 |
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281 if (a_nr == 0) |
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282 { |
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283 schur_mat.clear (); |
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284 unitary_mat.clear (); |
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285 return 0; |
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286 } |
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287 |
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288 // Workspace requirements may need to be fixed if any of the |
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289 // following change. |
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290 |
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291 char jobvs; |
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292 char sense = 'N'; |
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293 char sort = 'N'; |
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294 |
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295 if (calc_unitary) |
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296 jobvs = 'V'; |
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297 else |
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298 jobvs = 'N'; |
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299 |
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300 char ord_char = (ord.empty () ? 'U' : ord[0]); |
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301 |
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302 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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303 sort = 'S'; |
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304 |
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305 volatile complex_selector selector = nullptr; |
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306 if (ord_char == 'A' || ord_char == 'a') |
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307 selector = select_ana; |
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308 else if (ord_char == 'D' || ord_char == 'd') |
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309 selector = select_dig; |
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310 |
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311 F77_INT n = a_nc; |
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312 F77_INT lwork = 8 * n; |
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313 F77_INT info; |
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314 F77_INT sdim; |
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315 double rconde; |
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316 double rcondv; |
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317 |
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318 schur_mat = a; |
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319 if (calc_unitary) |
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320 unitary_mat.clear (n, n); |
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321 |
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322 Complex *s = schur_mat.fortran_vec (); |
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323 Complex *q = unitary_mat.fortran_vec (); |
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324 |
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325 Array<double> rwork (dim_vector (n, 1)); |
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326 double *prwork = rwork.fortran_vec (); |
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327 |
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328 Array<Complex> w (dim_vector (n, 1)); |
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329 Complex *pw = w.fortran_vec (); |
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330 |
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331 Array<Complex> work (dim_vector (lwork, 1)); |
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332 Complex *pwork = work.fortran_vec (); |
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333 |
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334 // BWORK is not referenced for non-ordered Schur. |
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335 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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336 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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337 F77_INT *pbwork = bwork.fortran_vec (); |
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338 |
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339 F77_XFCN (zgeesx, ZGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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340 F77_CONST_CHAR_ARG2 (&sort, 1), |
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341 selector, |
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342 F77_CONST_CHAR_ARG2 (&sense, 1), |
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343 n, F77_DBLE_CMPLX_ARG (s), n, sdim, F77_DBLE_CMPLX_ARG (pw), |
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344 F77_DBLE_CMPLX_ARG (q), n, rconde, rcondv, |
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345 F77_DBLE_CMPLX_ARG (pwork), lwork, prwork, pbwork, info |
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346 F77_CHAR_ARG_LEN (1) |
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347 F77_CHAR_ARG_LEN (1) |
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348 F77_CHAR_ARG_LEN (1))); |
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349 |
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350 return info; |
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351 } |
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352 |
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353 template <> |
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354 schur<ComplexMatrix> |
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355 rsf2csf<ComplexMatrix, Matrix> (const Matrix& s_arg, const Matrix& u_arg) |
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356 { |
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357 ComplexMatrix s (s_arg); |
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358 ComplexMatrix u (u_arg); |
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359 |
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360 F77_INT n = to_f77_int (s.rows ()); |
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361 |
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362 if (s.columns () != n || u.rows () != n || u.columns () != n) |
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363 (*current_liboctave_error_handler) |
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364 ("rsf2csf: inconsistent matrix dimensions"); |
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365 |
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366 if (n > 0) |
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367 { |
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368 OCTAVE_LOCAL_BUFFER (double, c, n-1); |
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369 OCTAVE_LOCAL_BUFFER (double, sx, n-1); |
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370 |
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371 F77_XFCN (zrsf2csf, ZRSF2CSF, (n, F77_DBLE_CMPLX_ARG (s.fortran_vec ()), |
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372 F77_DBLE_CMPLX_ARG (u.fortran_vec ()), c, sx)); |
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373 } |
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374 |
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375 return schur<ComplexMatrix> (s, u); |
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376 } |
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377 |
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378 template <> |
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379 F77_INT |
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380 schur<FloatComplexMatrix>::init (const FloatComplexMatrix& a, |
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381 const std::string& ord, bool calc_unitary) |
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382 { |
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383 F77_INT a_nr = to_f77_int (a.rows ()); |
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384 F77_INT a_nc = to_f77_int (a.cols ()); |
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385 |
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386 if (a_nr != a_nc) |
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387 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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388 |
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389 if (a_nr == 0) |
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390 { |
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391 schur_mat.clear (); |
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392 unitary_mat.clear (); |
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393 return 0; |
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394 } |
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395 |
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396 // Workspace requirements may need to be fixed if any of the |
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397 // following change. |
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398 |
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399 char jobvs; |
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400 char sense = 'N'; |
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401 char sort = 'N'; |
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402 |
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403 if (calc_unitary) |
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404 jobvs = 'V'; |
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405 else |
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406 jobvs = 'N'; |
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407 |
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408 char ord_char = (ord.empty () ? 'U' : ord[0]); |
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409 |
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410 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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411 sort = 'S'; |
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412 |
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413 volatile float_complex_selector selector = nullptr; |
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414 if (ord_char == 'A' || ord_char == 'a') |
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415 selector = select_ana; |
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416 else if (ord_char == 'D' || ord_char == 'd') |
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417 selector = select_dig; |
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418 |
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419 F77_INT n = a_nc; |
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420 F77_INT lwork = 8 * n; |
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421 F77_INT info; |
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422 F77_INT sdim; |
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423 float rconde; |
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424 float rcondv; |
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425 |
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426 schur_mat = a; |
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427 if (calc_unitary) |
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428 unitary_mat.clear (n, n); |
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429 |
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430 FloatComplex *s = schur_mat.fortran_vec (); |
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431 FloatComplex *q = unitary_mat.fortran_vec (); |
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432 |
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433 Array<float> rwork (dim_vector (n, 1)); |
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434 float *prwork = rwork.fortran_vec (); |
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435 |
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436 Array<FloatComplex> w (dim_vector (n, 1)); |
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437 FloatComplex *pw = w.fortran_vec (); |
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438 |
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439 Array<FloatComplex> work (dim_vector (lwork, 1)); |
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440 FloatComplex *pwork = work.fortran_vec (); |
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441 |
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442 // BWORK is not referenced for non-ordered Schur. |
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443 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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444 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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445 F77_INT *pbwork = bwork.fortran_vec (); |
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446 |
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447 F77_XFCN (cgeesx, CGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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448 F77_CONST_CHAR_ARG2 (&sort, 1), |
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449 selector, |
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450 F77_CONST_CHAR_ARG2 (&sense, 1), |
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451 n, F77_CMPLX_ARG (s), n, sdim, F77_CMPLX_ARG (pw), F77_CMPLX_ARG (q), n, rconde, |
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452 rcondv, |
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453 F77_CMPLX_ARG (pwork), lwork, prwork, pbwork, info |
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454 F77_CHAR_ARG_LEN (1) |
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455 F77_CHAR_ARG_LEN (1) |
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456 F77_CHAR_ARG_LEN (1))); |
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457 |
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458 return info; |
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459 } |
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460 |
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461 template <> |
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462 schur<FloatComplexMatrix> |
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463 rsf2csf<FloatComplexMatrix, FloatMatrix> (const FloatMatrix& s_arg, |
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464 const FloatMatrix& u_arg) |
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465 { |
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466 FloatComplexMatrix s (s_arg); |
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467 FloatComplexMatrix u (u_arg); |
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468 |
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469 F77_INT n = to_f77_int (s.rows ()); |
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470 |
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471 if (s.columns () != n || u.rows () != n || u.columns () != n) |
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472 (*current_liboctave_error_handler) |
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473 ("rsf2csf: inconsistent matrix dimensions"); |
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474 |
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475 if (n > 0) |
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476 { |
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477 OCTAVE_LOCAL_BUFFER (float, c, n-1); |
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478 OCTAVE_LOCAL_BUFFER (float, sx, n-1); |
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479 |
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480 F77_XFCN (crsf2csf, CRSF2CSF, (n, F77_CMPLX_ARG (s.fortran_vec ()), |
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481 F77_CMPLX_ARG (u.fortran_vec ()), c, sx)); |
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482 } |
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483 |
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484 return schur<FloatComplexMatrix> (s, u); |
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485 } |
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486 |
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487 // Instantiations we need. |
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488 |
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489 template class schur<ComplexMatrix>; |
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490 |
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491 template class schur<FloatComplexMatrix>; |
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492 |
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493 template class schur<FloatMatrix>; |
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494 |
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495 template class schur<Matrix>; |
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496 } |
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497 } |