Mercurial > octave
annotate liboctave/numeric/schur.cc @ 22844:7bb977866f55
use F77_INT instead of octave_idx_type for liboctave schur class
* schur.h, schur.cc: Use F77_INT instead of octave_idx_type for
interfacing with Fortran.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 29 Nov 2016 00:37:20 -0500 |
parents | b27125252bb0 |
children | cd33c785e80e |
rev | line source |
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457 | 1 /* |
2 | |
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3 Copyright (C) 1994-2016 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 "CMatrix.h" |
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28 #include "dMatrix.h" |
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29 #include "fCMatrix.h" |
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30 #include "fMatrix.h" |
457 | 31 #include "lo-error.h" |
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32 #include "lo-lapack-proto.h" |
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33 #include "schur.h" |
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34 |
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35 namespace octave |
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36 { |
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37 namespace math |
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38 { |
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39 // For real types. |
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40 |
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41 static F77_INT |
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42 select_ana (const double& a, const double&) |
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43 { |
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44 return (a < 0.0); |
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45 } |
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46 |
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47 static F77_INT |
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48 select_dig (const double& a, const double& b) |
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49 { |
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50 return (hypot (a, b) < 1.0); |
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51 } |
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52 |
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53 static F77_INT |
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54 select_ana (const float& a, const float&) |
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55 { |
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56 return (a < 0.0); |
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57 } |
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58 |
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59 static F77_INT |
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60 select_dig (const float& a, const float& b) |
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61 { |
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62 return (hypot (a, b) < 1.0); |
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63 } |
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64 |
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65 // For complex types. |
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66 |
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67 static F77_INT |
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68 select_ana (const F77_DBLE_CMPLX& a_arg) |
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69 { |
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70 const Complex a = reinterpret_cast<const Complex&> (a_arg); |
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71 return a.real () < 0.0; |
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72 } |
1929 | 73 |
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74 static F77_INT |
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75 select_dig (const F77_DBLE_CMPLX& a_arg) |
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76 { |
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77 const Complex& a = reinterpret_cast<const Complex&> (a_arg); |
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78 return (abs (a) < 1.0); |
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79 } |
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80 |
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81 static F77_INT |
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82 select_ana (const F77_CMPLX& a_arg) |
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83 { |
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84 const FloatComplex& a = reinterpret_cast<const FloatComplex&> (a_arg); |
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85 return a.real () < 0.0; |
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86 } |
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87 |
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88 static F77_INT |
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89 select_dig (const F77_CMPLX& a_arg) |
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90 { |
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91 const FloatComplex& a = reinterpret_cast<const FloatComplex&> (a_arg); |
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92 return (abs (a) < 1.0); |
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93 } |
457 | 94 |
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95 template <> |
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96 F77_INT |
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97 schur<Matrix>::init (const Matrix& a, const std::string& ord, bool calc_unitary) |
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98 { |
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99 F77_INT a_nr = to_f77_int (a.rows ()); |
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100 F77_INT a_nc = to_f77_int (a.cols ()); |
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101 |
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102 if (a_nr != a_nc) |
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103 (*current_liboctave_error_handler) ("schur: requires square matrix"); |
3334 | 104 |
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105 if (a_nr == 0) |
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106 { |
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107 schur_mat.clear (); |
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108 unitary_mat.clear (); |
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109 return 0; |
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110 } |
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111 |
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112 // Workspace requirements may need to be fixed if any of the |
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113 // following change. |
457 | 114 |
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115 char jobvs; |
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116 char sense = 'N'; |
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117 char sort = 'N'; |
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118 |
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119 if (calc_unitary) |
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120 jobvs = 'V'; |
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121 else |
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122 jobvs = 'N'; |
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124 char ord_char = ord.empty () ? 'U' : ord[0]; |
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125 |
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126 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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127 sort = 'S'; |
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129 volatile double_selector selector = 0; |
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130 if (ord_char == 'A' || ord_char == 'a') |
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131 selector = select_ana; |
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132 else if (ord_char == 'D' || ord_char == 'd') |
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133 selector = select_dig; |
457 | 134 |
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135 F77_INT n = a_nc; |
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136 F77_INT lwork = 8 * n; |
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137 F77_INT liwork = 1; |
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138 F77_INT info; |
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139 F77_INT sdim; |
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140 double rconde; |
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141 double rcondv; |
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142 |
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143 schur_mat = a; |
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144 |
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145 if (calc_unitary) |
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146 unitary_mat.clear (n, n); |
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147 |
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148 double *s = schur_mat.fortran_vec (); |
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149 double *q = unitary_mat.fortran_vec (); |
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150 |
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151 Array<double> wr (dim_vector (n, 1)); |
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152 double *pwr = wr.fortran_vec (); |
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153 |
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154 Array<double> wi (dim_vector (n, 1)); |
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155 double *pwi = wi.fortran_vec (); |
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157 Array<double> work (dim_vector (lwork, 1)); |
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158 double *pwork = work.fortran_vec (); |
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159 |
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160 // BWORK is not referenced for the non-ordered Schur routine. |
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161 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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162 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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163 F77_INT *pbwork = bwork.fortran_vec (); |
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164 |
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165 Array<F77_INT> iwork (dim_vector (liwork, 1)); |
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166 F77_INT *piwork = iwork.fortran_vec (); |
457 | 167 |
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168 F77_XFCN (dgeesx, DGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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169 F77_CONST_CHAR_ARG2 (&sort, 1), |
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170 selector, |
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171 F77_CONST_CHAR_ARG2 (&sense, 1), |
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172 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv, |
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173 pwork, lwork, piwork, liwork, pbwork, info |
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174 F77_CHAR_ARG_LEN (1) |
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175 F77_CHAR_ARG_LEN (1) |
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176 F77_CHAR_ARG_LEN (1))); |
1929 | 177 |
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178 return info; |
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179 } |
1929 | 180 |
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181 template <> |
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182 F77_INT |
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183 schur<FloatMatrix>::init (const FloatMatrix& a, const std::string& ord, |
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184 bool calc_unitary) |
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185 { |
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186 F77_INT a_nr = to_f77_int (a.rows ()); |
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187 F77_INT a_nc = to_f77_int (a.cols ()); |
1929 | 188 |
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189 if (a_nr != a_nc) |
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190 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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191 |
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192 if (a_nr == 0) |
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193 { |
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194 schur_mat.clear (); |
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195 unitary_mat.clear (); |
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196 return 0; |
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197 } |
457 | 198 |
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199 // Workspace requirements may need to be fixed if any of the |
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200 // following change. |
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201 |
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202 char jobvs; |
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203 char sense = 'N'; |
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204 char sort = 'N'; |
1929 | 205 |
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206 if (calc_unitary) |
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207 jobvs = 'V'; |
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208 else |
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209 jobvs = 'N'; |
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210 |
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211 char ord_char = ord.empty () ? 'U' : ord[0]; |
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212 |
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213 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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214 sort = 'S'; |
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215 |
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216 volatile float_selector selector = 0; |
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217 if (ord_char == 'A' || ord_char == 'a') |
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218 selector = select_ana; |
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219 else if (ord_char == 'D' || ord_char == 'd') |
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220 selector = select_dig; |
1929 | 221 |
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222 F77_INT n = a_nc; |
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223 F77_INT lwork = 8 * n; |
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224 F77_INT liwork = 1; |
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225 F77_INT info; |
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226 F77_INT sdim; |
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227 float rconde; |
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228 float rcondv; |
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229 |
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230 schur_mat = a; |
457 | 231 |
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232 if (calc_unitary) |
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233 unitary_mat.clear (n, n); |
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234 |
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235 float *s = schur_mat.fortran_vec (); |
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236 float *q = unitary_mat.fortran_vec (); |
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237 |
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238 Array<float> wr (dim_vector (n, 1)); |
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239 float *pwr = wr.fortran_vec (); |
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240 |
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241 Array<float> wi (dim_vector (n, 1)); |
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242 float *pwi = wi.fortran_vec (); |
457 | 243 |
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244 Array<float> work (dim_vector (lwork, 1)); |
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245 float *pwork = work.fortran_vec (); |
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246 |
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247 // BWORK is not referenced for the non-ordered Schur routine. |
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248 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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249 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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250 F77_INT *pbwork = bwork.fortran_vec (); |
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251 |
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252 Array<F77_INT> iwork (dim_vector (liwork, 1)); |
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253 F77_INT *piwork = iwork.fortran_vec (); |
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254 |
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255 F77_XFCN (sgeesx, SGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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256 F77_CONST_CHAR_ARG2 (&sort, 1), |
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257 selector, |
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258 F77_CONST_CHAR_ARG2 (&sense, 1), |
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259 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv, |
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260 pwork, lwork, piwork, liwork, pbwork, info |
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261 F77_CHAR_ARG_LEN (1) |
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262 F77_CHAR_ARG_LEN (1) |
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263 F77_CHAR_ARG_LEN (1))); |
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264 |
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265 return info; |
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266 } |
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267 |
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268 template <> |
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269 F77_INT |
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270 schur<ComplexMatrix>::init (const ComplexMatrix& a, const std::string& ord, |
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271 bool calc_unitary) |
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272 { |
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273 F77_INT a_nr = to_f77_int (a.rows ()); |
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274 F77_INT a_nc = to_f77_int (a.cols ()); |
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275 |
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276 if (a_nr != a_nc) |
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277 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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278 |
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279 if (a_nr == 0) |
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280 { |
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281 schur_mat.clear (); |
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282 unitary_mat.clear (); |
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283 return 0; |
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284 } |
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285 |
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286 // Workspace requirements may need to be fixed if any of the |
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287 // following change. |
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288 |
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289 char jobvs; |
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290 char sense = 'N'; |
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291 char sort = 'N'; |
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292 |
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293 if (calc_unitary) |
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294 jobvs = 'V'; |
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295 else |
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296 jobvs = 'N'; |
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297 |
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298 char ord_char = ord.empty () ? 'U' : ord[0]; |
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299 |
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300 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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301 sort = 'S'; |
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302 |
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303 volatile complex_selector selector = 0; |
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304 if (ord_char == 'A' || ord_char == 'a') |
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305 selector = select_ana; |
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306 else if (ord_char == 'D' || ord_char == 'd') |
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307 selector = select_dig; |
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308 |
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309 F77_INT n = a_nc; |
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310 F77_INT lwork = 8 * n; |
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311 F77_INT info; |
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312 F77_INT sdim; |
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313 double rconde; |
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314 double rcondv; |
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315 |
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316 schur_mat = a; |
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317 if (calc_unitary) |
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318 unitary_mat.clear (n, n); |
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319 |
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320 Complex *s = schur_mat.fortran_vec (); |
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321 Complex *q = unitary_mat.fortran_vec (); |
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322 |
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323 Array<double> rwork (dim_vector (n, 1)); |
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324 double *prwork = rwork.fortran_vec (); |
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325 |
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326 Array<Complex> w (dim_vector (n, 1)); |
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327 Complex *pw = w.fortran_vec (); |
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328 |
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329 Array<Complex> work (dim_vector (lwork, 1)); |
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330 Complex *pwork = work.fortran_vec (); |
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331 |
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332 // BWORK is not referenced for non-ordered Schur. |
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333 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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334 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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335 F77_INT *pbwork = bwork.fortran_vec (); |
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336 |
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337 F77_XFCN (zgeesx, ZGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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338 F77_CONST_CHAR_ARG2 (&sort, 1), |
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339 selector, |
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340 F77_CONST_CHAR_ARG2 (&sense, 1), |
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341 n, F77_DBLE_CMPLX_ARG (s), n, sdim, F77_DBLE_CMPLX_ARG (pw), |
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342 F77_DBLE_CMPLX_ARG (q), n, rconde, rcondv, |
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343 F77_DBLE_CMPLX_ARG (pwork), lwork, prwork, pbwork, info |
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344 F77_CHAR_ARG_LEN (1) |
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345 F77_CHAR_ARG_LEN (1) |
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346 F77_CHAR_ARG_LEN (1))); |
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347 |
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348 return info; |
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349 } |
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350 |
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351 template <> |
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352 schur<ComplexMatrix> |
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353 rsf2csf<ComplexMatrix, Matrix> (const Matrix& s_arg, const Matrix& u_arg) |
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354 { |
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355 ComplexMatrix s (s_arg); |
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356 ComplexMatrix u (u_arg); |
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357 |
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358 F77_INT n = to_f77_int (s.rows ()); |
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359 |
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360 if (s.columns () != n || u.rows () != n || u.columns () != n) |
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361 (*current_liboctave_error_handler) |
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362 ("rsf2csf: inconsistent matrix dimensions"); |
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363 |
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364 if (n > 0) |
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365 { |
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366 OCTAVE_LOCAL_BUFFER (double, c, n-1); |
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367 OCTAVE_LOCAL_BUFFER (double, sx, n-1); |
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368 |
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369 F77_XFCN (zrsf2csf, ZRSF2CSF, (n, F77_DBLE_CMPLX_ARG (s.fortran_vec ()), |
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370 F77_DBLE_CMPLX_ARG (u.fortran_vec ()), c, sx)); |
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371 } |
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372 |
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373 return schur<ComplexMatrix> (s, u); |
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374 } |
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375 |
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376 template <> |
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377 F77_INT |
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378 schur<FloatComplexMatrix>::init (const FloatComplexMatrix& a, |
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379 const std::string& ord, bool calc_unitary) |
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380 { |
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381 F77_INT a_nr = to_f77_int (a.rows ()); |
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382 F77_INT a_nc = to_f77_int (a.cols ()); |
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383 |
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384 if (a_nr != a_nc) |
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385 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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386 |
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387 if (a_nr == 0) |
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388 { |
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389 schur_mat.clear (); |
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390 unitary_mat.clear (); |
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391 return 0; |
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392 } |
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393 |
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394 // Workspace requirements may need to be fixed if any of the |
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395 // following change. |
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396 |
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397 char jobvs; |
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398 char sense = 'N'; |
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399 char sort = 'N'; |
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400 |
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401 if (calc_unitary) |
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402 jobvs = 'V'; |
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403 else |
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404 jobvs = 'N'; |
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405 |
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406 char ord_char = ord.empty () ? 'U' : ord[0]; |
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407 |
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408 if (ord_char == 'A' || ord_char == 'D' || ord_char == 'a' || ord_char == 'd') |
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409 sort = 'S'; |
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410 |
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411 volatile float_complex_selector selector = 0; |
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412 if (ord_char == 'A' || ord_char == 'a') |
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413 selector = select_ana; |
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414 else if (ord_char == 'D' || ord_char == 'd') |
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415 selector = select_dig; |
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416 |
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417 F77_INT n = a_nc; |
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418 F77_INT lwork = 8 * n; |
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419 F77_INT info; |
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420 F77_INT sdim; |
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421 float rconde; |
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422 float rcondv; |
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423 |
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424 schur_mat = a; |
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425 if (calc_unitary) |
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426 unitary_mat.clear (n, n); |
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427 |
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428 FloatComplex *s = schur_mat.fortran_vec (); |
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429 FloatComplex *q = unitary_mat.fortran_vec (); |
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430 |
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431 Array<float> rwork (dim_vector (n, 1)); |
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432 float *prwork = rwork.fortran_vec (); |
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433 |
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434 Array<FloatComplex> w (dim_vector (n, 1)); |
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435 FloatComplex *pw = w.fortran_vec (); |
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436 |
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437 Array<FloatComplex> work (dim_vector (lwork, 1)); |
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438 FloatComplex *pwork = work.fortran_vec (); |
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439 |
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440 // BWORK is not referenced for non-ordered Schur. |
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441 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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442 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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443 F77_INT *pbwork = bwork.fortran_vec (); |
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444 |
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445 F77_XFCN (cgeesx, CGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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446 F77_CONST_CHAR_ARG2 (&sort, 1), |
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447 selector, |
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448 F77_CONST_CHAR_ARG2 (&sense, 1), |
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449 n, F77_CMPLX_ARG (s), n, sdim, F77_CMPLX_ARG (pw), F77_CMPLX_ARG (q), n, rconde, |
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450 rcondv, |
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451 F77_CMPLX_ARG (pwork), lwork, prwork, pbwork, info |
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452 F77_CHAR_ARG_LEN (1) |
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453 F77_CHAR_ARG_LEN (1) |
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454 F77_CHAR_ARG_LEN (1))); |
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455 |
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456 return info; |
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457 } |
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458 |
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459 template <> |
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460 schur<FloatComplexMatrix> |
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461 rsf2csf<FloatComplexMatrix, FloatMatrix> (const FloatMatrix& s_arg, |
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462 const FloatMatrix& u_arg) |
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463 { |
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464 FloatComplexMatrix s (s_arg); |
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465 FloatComplexMatrix u (u_arg); |
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466 |
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467 F77_INT n = to_f77_int (s.rows ()); |
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468 |
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469 if (s.columns () != n || u.rows () != n || u.columns () != n) |
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470 (*current_liboctave_error_handler) |
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471 ("rsf2csf: inconsistent matrix dimensions"); |
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472 |
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473 if (n > 0) |
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474 { |
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475 OCTAVE_LOCAL_BUFFER (float, c, n-1); |
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476 OCTAVE_LOCAL_BUFFER (float, sx, n-1); |
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477 |
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478 F77_XFCN (crsf2csf, CRSF2CSF, (n, F77_CMPLX_ARG (s.fortran_vec ()), |
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479 F77_CMPLX_ARG (u.fortran_vec ()), c, sx)); |
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480 } |
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481 |
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482 return schur<FloatComplexMatrix> (s, u); |
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483 } |
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484 |
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485 // Instantiations we need. |
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486 |
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487 template class schur<ComplexMatrix>; |
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488 |
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489 template class schur<FloatComplexMatrix>; |
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490 |
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491 template class schur<FloatMatrix>; |
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492 |
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493 template class schur<Matrix>; |
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494 } |
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495 } |
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496 |