Mercurial > octave
annotate libinterp/corefcn/ordschur.cc @ 20703:85e5efae848a
eliminate more uses of error_state
* ov.h, ov.cc: Provide more value extractors that handle error messages.
* besselj.cc, daspk.cc, dasrt.cc, dassl.cc, file-io.cc, graphics.cc,
matrix_type.cc, ordschur.cc, utils.cc, __eigs__.cc,
__magick_read__.cc: Eliminate more uses of error_state.
author | John W. Eaton <jwe@octave.org> |
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date | Sat, 14 Nov 2015 12:07:38 -0500 |
parents | 4f45eaf83908 |
children | 571508c1ed06 |
rev | line source |
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1 /* |
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2 |
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3 Copyright (C) 2015 Sébastien Villemot <sebastien@debian.org> |
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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 "defun.h" |
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28 #include "error.h" |
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29 #include "oct-obj.h" |
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30 #include "f77-fcn.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 (dtrsen, DTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
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36 const octave_idx_type*, const octave_idx_type&, |
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37 double*, const octave_idx_type&, double*, const octave_idx_type&, |
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38 double*, double*, octave_idx_type&, double&, double&, double*, |
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39 const octave_idx_type&, octave_idx_type*, |
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40 const octave_idx_type&, octave_idx_type&); |
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41 |
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42 F77_RET_T |
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43 F77_FUNC (ztrsen, ZTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
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44 const octave_idx_type*, const octave_idx_type&, |
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45 Complex*, const octave_idx_type&, Complex*, const octave_idx_type&, |
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46 Complex*, octave_idx_type&, double&, double&, Complex*, |
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47 const octave_idx_type&, octave_idx_type &); |
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48 |
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49 F77_RET_T |
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50 F77_FUNC (strsen, STRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
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51 const octave_idx_type*, const octave_idx_type&, |
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52 float*, const octave_idx_type&, float*, const octave_idx_type&, |
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53 float*, float*, octave_idx_type&, float&, float&, float*, |
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54 const octave_idx_type&, octave_idx_type*, |
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55 const octave_idx_type&, octave_idx_type&); |
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56 |
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57 F77_RET_T |
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58 F77_FUNC (ctrsen, CTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
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59 const octave_idx_type*, const octave_idx_type&, |
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60 FloatComplex*, const octave_idx_type&, FloatComplex*, const octave_idx_type&, |
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61 FloatComplex*, octave_idx_type&, float&, float&, FloatComplex*, |
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62 const octave_idx_type&, octave_idx_type &); |
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63 } |
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64 |
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65 DEFUN (ordschur, args, , |
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66 "-*- texinfo -*-\n\ |
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67 @deftypefn {Loadable Function} {[@var{UR}, @var{SR}] =} ordschur (@var{U}, @var{S}, @var{select})\n\ |
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68 Reorders the real Schur factorization (@var{U},@var{S}) obtained with the\n\ |
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69 @code{schur} function, so that selected eigenvalues appear in the upper left\n\ |
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70 diagonal blocks of the quasi triangular Schur matrix.\n\ |
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71 \n\ |
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72 The logical vector @var{select} specifies the selected eigenvalues as they\n\ |
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73 appear along @var{S}'s diagonal.\n\ |
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74 \n\ |
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75 For example, given the matrix @code{@var{A} = [1, 2; 3, 4]}, and its Schur\n\ |
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76 decomposition\n\ |
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77 \n\ |
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78 @example\n\ |
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79 [@var{U}, @var{S}] = schur (@var{A})\n\ |
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80 @end example\n\ |
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81 \n\ |
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82 @noindent\n\ |
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83 which returns\n\ |
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84 \n\ |
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85 @example\n\ |
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86 @group\n\ |
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87 @var{U} =\n\ |
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88 \n\ |
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89 -0.82456 -0.56577\n\ |
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90 0.56577 -0.82456\n\ |
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91 \n\ |
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92 @var{S} =\n\ |
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93 \n\ |
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94 -0.37228 -1.00000\n\ |
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95 0.00000 5.37228\n\ |
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96 \n\ |
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97 @end group\n\ |
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98 @end example\n\ |
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99 \n\ |
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100 It is possible to reorder the decomposition so that the positive eigenvalue\n\ |
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101 is in the upper left corner, by doing:\n\ |
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102 \n\ |
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103 @example\n\ |
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104 [@var{U}, @var{S}] = ordschur (@var{U}, @var{S}, [0,1])\n\ |
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105 @end example\n\ |
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106 \n\ |
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107 @seealso{schur}\n\ |
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108 @end deftypefn") |
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109 { |
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110 const octave_idx_type nargin = args.length (); |
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111 octave_value_list retval; |
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112 |
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113 if (nargin != 3) |
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114 { |
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115 print_usage (); |
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116 return retval; |
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117 } |
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118 |
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119 const Array<octave_idx_type> sel = args(2).octave_idx_type_vector_value ("ordschur: SELECT must be an array of integers"); |
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120 |
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121 const octave_idx_type n = sel.numel (); |
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122 |
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123 const dim_vector dimU = args(0).dims (); |
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124 const dim_vector dimS = args(1).dims (); |
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125 if (n != dimU(0)) |
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126 { |
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127 error ("ordschur: SELECT must have same length as the sides of U and S"); |
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128 return retval; |
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129 } |
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130 else if (n != dimU(0) || n != dimS(0) || n != dimU(1) || n != dimS(1)) |
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131 { |
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132 error ("ordschur: U and S must be square and of equal sizes"); |
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133 return retval; |
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134 } |
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135 |
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136 const bool double_type = args(0).is_double_type () |
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137 || args(1).is_double_type (); |
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138 const bool complex_type = args(0).is_complex_type () |
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139 || args(1).is_complex_type (); |
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140 |
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141 #define PREPARE_ARGS(TYPE, TYPE_M, TYPE_COND) \ |
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142 TYPE ## Matrix U = args(0).TYPE_M ## _value (); \ |
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143 TYPE ## Matrix S = args(1).TYPE_M ## _value (); \ |
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144 if (error_state) \ |
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145 { \ |
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146 error ("ordschur: U and S must be real or complex floating point matrices"); \ |
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147 return retval; \ |
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148 } \ |
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149 TYPE ## Matrix w (dim_vector (n, 1)); \ |
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150 TYPE ## Matrix work (dim_vector (n, 1)); \ |
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151 octave_idx_type m; \ |
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152 octave_idx_type info; \ |
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153 TYPE_COND cond1, cond2; |
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154 |
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155 #define PREPARE_OUTPUT()\ |
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156 if (info != 0) \ |
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157 { \ |
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158 error ("ordschur: trsen failed"); \ |
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159 return retval; \ |
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160 } \ |
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161 retval(0) = U; \ |
19861
19755f4fc851
maint: Cleanup C++ code to follow Octave coding conventions.
Rik <rik@octave.org>
parents:
19795
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162 retval(1) = S; |
19747
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163 |
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164 if (double_type) |
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165 { |
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166 if (complex_type) |
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167 { |
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168 PREPARE_ARGS (Complex, complex_matrix, double) |
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169 |
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170 F77_XFCN (ztrsen, ztrsen, |
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171 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), |
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172 sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n, |
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173 w.fortran_vec (), m, cond1, cond2, work.fortran_vec (), n, |
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174 info)); |
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175 PREPARE_OUTPUT() |
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176 } |
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177 else |
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178 { |
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179 PREPARE_ARGS (, matrix, double) |
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180 Matrix wi (dim_vector (n, 1)); |
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181 Array<octave_idx_type> iwork (dim_vector (n, 1)); |
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182 |
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183 F77_XFCN (dtrsen, dtrsen, |
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184 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), |
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185 sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n, |
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186 w.fortran_vec (), wi.fortran_vec (), m, cond1, cond2, |
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187 work.fortran_vec (), n, iwork.fortran_vec (), n, info)); |
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188 PREPARE_OUTPUT () |
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189 } |
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diff
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|
190 } |
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191 else |
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diff
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|
192 { |
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diff
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|
193 if (complex_type) |
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diff
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194 { |
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195 PREPARE_ARGS (FloatComplex, float_complex_matrix, float) |
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196 |
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197 F77_XFCN (ctrsen, ctrsen, |
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198 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), |
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199 sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n, |
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200 w.fortran_vec (), m, cond1, cond2, work.fortran_vec (), n, |
56157a7505ed
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diff
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|
201 info)); |
56157a7505ed
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diff
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|
202 PREPARE_OUTPUT () |
56157a7505ed
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203 } |
56157a7505ed
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diff
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|
204 else |
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parents:
diff
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|
205 { |
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Sébastien Villemot <sebastien@debian.org>
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diff
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|
206 PREPARE_ARGS (Float, float_matrix, float) |
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parents:
diff
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|
207 FloatMatrix wi (dim_vector (n, 1)); |
56157a7505ed
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diff
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208 Array<octave_idx_type> iwork (dim_vector (n, 1)); |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
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|
209 |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
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|
210 F77_XFCN (strsen, strsen, |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
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diff
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|
211 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
212 sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n, |
56157a7505ed
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parents:
diff
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|
213 w.fortran_vec (), wi.fortran_vec (), m, cond1, cond2, |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
214 work.fortran_vec (), n, iwork.fortran_vec (), n, info)); |
56157a7505ed
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parents:
diff
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|
215 PREPARE_OUTPUT () |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
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|
216 } |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
217 } |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
218 |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
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diff
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|
219 #undef PREPARE_ARGS |
56157a7505ed
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parents:
diff
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|
220 #undef PREPARE_OUTPUT |
56157a7505ed
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parents:
diff
changeset
|
221 |
56157a7505ed
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parents:
diff
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|
222 return retval; |
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parents:
diff
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|
223 } |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
224 |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
225 /* |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
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|
226 |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
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|
227 %!test |
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diff
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|
228 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4 ]; |
56157a7505ed
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diff
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229 %! [U, T] = schur (A); |
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diff
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|
230 %! [US, TS] = ordschur (U, T, [ 0, 0, 1, 1 ]); |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
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|
231 %! assert (US*TS*US', A, sqrt (eps)) |
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diff
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|
232 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps)) |
56157a7505ed
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parents:
diff
changeset
|
233 |
56157a7505ed
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parents:
diff
changeset
|
234 %!test |
56157a7505ed
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diff
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|
235 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4 ]; |
56157a7505ed
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diff
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|
236 %! [U, T] = schur (A); |
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|
237 %! [US, TS] = ordschur (single (U), single (T), [ 0, 0, 1, 1 ]); |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
238 %! assert (US*TS*US', A, sqrt (eps ("single"))) |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
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diff
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|
239 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps ("single"))) |
56157a7505ed
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parents:
diff
changeset
|
240 |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
241 %!test |
56157a7505ed
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parents:
diff
changeset
|
242 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4+3i ]; |
56157a7505ed
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diff
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|
243 %! [U, T] = schur (A); |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
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diff
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|
244 %! [US, TS] = ordschur (U, T, [ 0, 0, 1, 1 ]); |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
245 %! assert (US*TS*US', A, sqrt (eps)) |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
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diff
changeset
|
246 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps)) |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
247 |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
|
248 %!test |
56157a7505ed
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Sébastien Villemot <sebastien@debian.org>
parents:
diff
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249 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4+3i ]; |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
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250 %! [U, T] = schur (A); |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
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251 %! [US, TS] = ordschur (single (U), single (T), [ 0, 0, 1, 1 ]); |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
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252 %! assert (US*TS*US', A, sqrt (eps ("single"))) |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
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253 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps ("single"))) |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
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254 |
56157a7505ed
Add new ordschur function.
Sébastien Villemot <sebastien@debian.org>
parents:
diff
changeset
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255 */ |