Mercurial > octave
annotate libinterp/corefcn/ordschur.cc @ 26353:d43ba2c21d1d stable
ordschur.cc: Fix static analyzer detected issues (bug #55347).
* ordschur.cc (Fordschur): Call args(2).xoctave_idx_type_vector_value()
rather than incorrect version without prepended 'x'.
author | Rik <rik@octave.org> |
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date | Tue, 01 Jan 2019 21:05:44 -0800 |
parents | c7095a755185 |
children | 00f796120a6d |
rev | line source |
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1 /* |
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2 |
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3 Copyright (C) 2016-2018 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 |
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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. |
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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. |
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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 <https://www.gnu.org/licenses/>. |
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20 |
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21 */ |
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22 |
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23 #if defined (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 "lo-lapack-proto.h" |
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30 #include "ovl.h" |
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31 |
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32 DEFUN (ordschur, args, , |
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33 doc: /* -*- texinfo -*- |
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34 @deftypefn {} {[@var{UR}, @var{SR}] =} ordschur (@var{U}, @var{S}, @var{select}) |
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35 Reorders the real Schur factorization (@var{U},@var{S}) obtained with the |
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36 @code{schur} function, so that selected eigenvalues appear in the upper left |
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37 diagonal blocks of the quasi triangular Schur matrix. |
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38 |
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39 The logical vector @var{select} specifies the selected eigenvalues as they |
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40 appear along @var{S}'s diagonal. |
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41 |
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42 For example, given the matrix @code{@var{A} = [1, 2; 3, 4]}, and its Schur |
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43 decomposition |
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44 |
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45 @example |
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46 [@var{U}, @var{S}] = schur (@var{A}) |
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47 @end example |
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48 |
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49 @noindent |
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50 which returns |
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51 |
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52 @example |
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53 @group |
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54 @var{U} = |
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55 |
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56 -0.82456 -0.56577 |
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57 0.56577 -0.82456 |
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58 |
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59 @var{S} = |
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60 |
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61 -0.37228 -1.00000 |
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62 0.00000 5.37228 |
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63 |
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64 @end group |
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65 @end example |
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66 |
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67 It is possible to reorder the decomposition so that the positive eigenvalue |
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68 is in the upper left corner, by doing: |
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69 |
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70 @example |
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71 [@var{U}, @var{S}] = ordschur (@var{U}, @var{S}, [0,1]) |
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72 @end example |
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73 |
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74 @seealso{schur, ordeig} |
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75 @end deftypefn */) |
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76 { |
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77 if (args.length () != 3) |
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78 print_usage (); |
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79 |
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80 const Array<octave_idx_type> sel_arg = args(2).xoctave_idx_type_vector_value ("ordschur: SELECT must be an array of integers"); |
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81 |
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82 const octave_idx_type sel_n = sel_arg.numel (); |
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83 |
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84 const dim_vector dimU = args(0).dims (); |
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85 const dim_vector dimS = args(1).dims (); |
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86 |
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87 if (sel_n != dimU(0)) |
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88 error ("ordschur: SELECT must have same length as the sides of U and S"); |
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89 else if (sel_n != dimU(0) || sel_n != dimS(0) || sel_n != dimU(1) |
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90 || sel_n != dimS(1)) |
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91 error ("ordschur: U and S must be square and of equal sizes"); |
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92 |
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93 octave_value_list retval; |
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94 |
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95 const bool double_type = args(0).is_double_type () |
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96 || args(1).is_double_type (); |
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97 const bool complex_type = args(0).iscomplex () |
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98 || args(1).iscomplex (); |
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99 |
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100 #define PREPARE_ARGS(TYPE, TYPE_M, TYPE_COND) \ |
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101 TYPE ## Matrix U = args(0).x ## TYPE_M ## _value \ |
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102 ("ordschur: U and S must be real or complex floating point matrices"); \ |
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103 TYPE ## Matrix S = args(1).x ## TYPE_M ## _value \ |
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104 ("ordschur: U and S must be real or complex floating point matrices"); \ |
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105 TYPE ## Matrix w (dim_vector (n, 1)); \ |
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106 TYPE ## Matrix work (dim_vector (n, 1)); \ |
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107 F77_INT m; \ |
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108 F77_INT info; \ |
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109 TYPE_COND cond1, cond2; |
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110 |
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111 #define PREPARE_OUTPUT() \ |
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112 if (info != 0) \ |
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113 error ("ordschur: trsen failed"); \ |
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114 \ |
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115 retval = ovl (U, S); |
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116 |
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117 F77_INT n = octave::to_f77_int (sel_n); |
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118 Array<F77_INT> sel (dim_vector (n, 1)); |
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119 for (F77_INT i = 0; i < n; i++) |
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120 sel.xelem (i) = octave::to_f77_int (sel_arg.xelem (i)); |
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121 |
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122 if (double_type) |
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123 { |
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124 if (complex_type) |
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125 { |
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126 PREPARE_ARGS (Complex, complex_matrix, double) |
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127 |
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128 F77_XFCN (ztrsen, ztrsen, |
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129 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), |
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130 sel.data (), n, F77_DBLE_CMPLX_ARG (S.fortran_vec ()), n, |
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131 F77_DBLE_CMPLX_ARG (U.fortran_vec ()), n, |
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132 F77_DBLE_CMPLX_ARG (w.fortran_vec ()), m, cond1, cond2, |
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133 F77_DBLE_CMPLX_ARG (work.fortran_vec ()), n, |
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134 info)); |
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135 |
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136 PREPARE_OUTPUT() |
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137 } |
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138 else |
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139 { |
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140 PREPARE_ARGS (, matrix, double) |
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141 Matrix wi (dim_vector (n, 1)); |
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142 Array<F77_INT> iwork (dim_vector (n, 1)); |
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143 |
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144 F77_XFCN (dtrsen, dtrsen, |
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145 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), |
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146 sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n, |
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147 w.fortran_vec (), wi.fortran_vec (), m, cond1, cond2, |
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148 work.fortran_vec (), n, iwork.fortran_vec (), n, info)); |
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149 |
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150 PREPARE_OUTPUT () |
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151 } |
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152 } |
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153 else |
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154 { |
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155 if (complex_type) |
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156 { |
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157 PREPARE_ARGS (FloatComplex, float_complex_matrix, float) |
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158 |
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159 F77_XFCN (ctrsen, ctrsen, |
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160 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), |
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161 sel.data (), n, F77_CMPLX_ARG (S.fortran_vec ()), n, |
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162 F77_CMPLX_ARG (U.fortran_vec ()), n, |
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163 F77_CMPLX_ARG (w.fortran_vec ()), m, cond1, cond2, |
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164 F77_CMPLX_ARG (work.fortran_vec ()), n, |
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165 info)); |
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166 |
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167 PREPARE_OUTPUT () |
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168 } |
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169 else |
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170 { |
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171 PREPARE_ARGS (Float, float_matrix, float) |
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172 FloatMatrix wi (dim_vector (n, 1)); |
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173 Array<F77_INT> iwork (dim_vector (n, 1)); |
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174 |
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175 F77_XFCN (strsen, strsen, |
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176 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"), |
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177 sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n, |
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178 w.fortran_vec (), wi.fortran_vec (), m, cond1, cond2, |
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179 work.fortran_vec (), n, iwork.fortran_vec (), n, info)); |
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180 |
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181 PREPARE_OUTPUT () |
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182 } |
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183 } |
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184 |
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185 #undef PREPARE_ARGS |
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186 #undef PREPARE_OUTPUT |
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187 |
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188 return retval; |
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189 } |
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190 |
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191 /* |
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192 |
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193 %!test |
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194 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4 ]; |
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195 %! [U, T] = schur (A); |
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196 %! [US, TS] = ordschur (U, T, [ 0, 0, 1, 1 ]); |
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197 %! assert (US*TS*US', A, sqrt (eps)); |
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198 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps)); |
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199 |
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200 %!test |
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201 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4 ]; |
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202 %! [U, T] = schur (A); |
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203 %! [US, TS] = ordschur (single (U), single (T), [ 0, 0, 1, 1 ]); |
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204 %! assert (US*TS*US', A, sqrt (eps ("single"))); |
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205 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps ("single"))); |
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206 |
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207 %!test |
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208 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4+3i ]; |
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209 %! [U, T] = schur (A); |
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210 %! [US, TS] = ordschur (U, T, [ 0, 0, 1, 1 ]); |
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211 %! assert (US*TS*US', A, sqrt (eps)); |
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212 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps)); |
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213 |
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214 %!test |
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215 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4+3i ]; |
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216 %! [U, T] = schur (A); |
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217 %! [US, TS] = ordschur (single (U), single (T), [ 0, 0, 1, 1 ]); |
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218 %! assert (US*TS*US', A, sqrt (eps ("single"))); |
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219 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps ("single"))); |
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220 |
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221 */ |