Mercurial > hg > octave-nkf
annotate liboctave/CmplxCHOL.cc @ 7725:7c9ba697a479
cosmetic fixes in QR & Cholesky updating codes
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Sun, 20 Apr 2008 09:50:22 -0400 |
parents | efccca5f2ad7 |
children | 25bc2d31e1bf |
rev | line source |
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457 | 1 /* |
2 | |
7017 | 3 Copyright (C) 1994, 1995, 1996, 1997, 2002, 2003, 2004, 2005, 2007 |
4 John W. Eaton | |
457 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
457 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
457 | 21 |
22 */ | |
23 | |
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24 // updating/downdating by Jaroslav Hajek 2008 |
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25 |
457 | 26 #ifdef HAVE_CONFIG_H |
1192 | 27 #include <config.h> |
457 | 28 #endif |
29 | |
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30 #include <vector> |
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31 |
6486 | 32 #include "dMatrix.h" |
33 #include "dRowVector.h" | |
457 | 34 #include "CmplxCHOL.h" |
1847 | 35 #include "f77-fcn.h" |
457 | 36 #include "lo-error.h" |
37 | |
38 extern "C" | |
39 { | |
4552 | 40 F77_RET_T |
5340 | 41 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
42 Complex*, const octave_idx_type&, octave_idx_type& | |
43 F77_CHAR_ARG_LEN_DECL); | |
44 F77_RET_T | |
45 F77_FUNC (zpotri, ZPOTRI) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
46 Complex*, const octave_idx_type&, octave_idx_type& | |
4552 | 47 F77_CHAR_ARG_LEN_DECL); |
6486 | 48 |
49 F77_RET_T | |
50 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
51 Complex*, const octave_idx_type&, const double&, | |
52 double&, Complex*, double*, | |
53 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
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54 F77_RET_T |
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55 F77_FUNC (zch1up, ZCH1UP) (const octave_idx_type&, Complex*, Complex*, double*); |
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56 |
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57 F77_RET_T |
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58 F77_FUNC (zch1dn, ZCH1DN) (const octave_idx_type&, Complex*, Complex*, double*, |
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59 octave_idx_type&); |
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60 |
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61 F77_RET_T |
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62 F77_FUNC (zqrshc, ZQRSHC) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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63 Complex*, Complex*, const octave_idx_type&, const octave_idx_type&); |
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64 |
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65 F77_RET_T |
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66 F77_FUNC (zchinx, ZCHINX) (const octave_idx_type&, const Complex*, Complex*, const octave_idx_type&, |
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67 const Complex*, octave_idx_type&); |
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68 |
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69 F77_RET_T |
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70 F77_FUNC (zchdex, ZCHDEX) (const octave_idx_type&, const Complex*, Complex*, const octave_idx_type&); |
457 | 71 } |
72 | |
5275 | 73 octave_idx_type |
6486 | 74 ComplexCHOL::init (const ComplexMatrix& a, bool calc_cond) |
457 | 75 { |
5275 | 76 octave_idx_type a_nr = a.rows (); |
77 octave_idx_type a_nc = a.cols (); | |
457 | 78 |
1944 | 79 if (a_nr != a_nc) |
80 { | |
81 (*current_liboctave_error_handler) | |
82 ("ComplexCHOL requires square matrix"); | |
83 return -1; | |
84 } | |
457 | 85 |
5275 | 86 octave_idx_type n = a_nc; |
87 octave_idx_type info; | |
1944 | 88 |
89 chol_mat = a; | |
90 Complex *h = chol_mat.fortran_vec (); | |
457 | 91 |
6486 | 92 // Calculate the norm of the matrix, for later use. |
93 double anorm = 0; | |
94 if (calc_cond) | |
95 anorm = chol_mat.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
96 | |
4552 | 97 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 ("U", 1), n, h, n, info |
98 F77_CHAR_ARG_LEN (1))); | |
457 | 99 |
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100 xrcond = 0.0; |
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101 if (info != 0) |
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102 info = -1; |
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103 else if (calc_cond) |
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104 { |
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105 octave_idx_type zpocon_info = 0; |
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106 |
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107 // Now calculate the condition number for non-singular matrix. |
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108 Array<Complex> z (2*n); |
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109 Complex *pz = z.fortran_vec (); |
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110 Array<double> rz (n); |
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111 double *prz = rz.fortran_vec (); |
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112 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 ("U", 1), n, h, |
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113 n, anorm, xrcond, pz, prz, zpocon_info |
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114 F77_CHAR_ARG_LEN (1))); |
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115 |
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116 if (zpocon_info != 0) |
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117 info = -1; |
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118 } |
1944 | 119 else |
120 { | |
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121 // If someone thinks of a more graceful way of doing this (or |
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122 // faster for that matter :-)), please let me know! |
457 | 123 |
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124 if (n > 1) |
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125 for (octave_idx_type j = 0; j < a_nc; j++) |
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126 for (octave_idx_type i = j+1; i < a_nr; i++) |
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127 chol_mat.xelem (i, j) = 0.0; |
1944 | 128 } |
129 | |
130 return info; | |
457 | 131 } |
132 | |
5340 | 133 static ComplexMatrix |
134 chol2inv_internal (const ComplexMatrix& r) | |
135 { | |
136 ComplexMatrix retval; | |
137 | |
138 octave_idx_type r_nr = r.rows (); | |
139 octave_idx_type r_nc = r.cols (); | |
140 | |
141 if (r_nr == r_nc) | |
142 { | |
143 octave_idx_type n = r_nc; | |
144 octave_idx_type info; | |
145 | |
146 ComplexMatrix tmp = r; | |
147 | |
148 F77_XFCN (zpotri, ZPOTRI, (F77_CONST_CHAR_ARG2 ("U", 1), n, | |
149 tmp.fortran_vec (), n, info | |
150 F77_CHAR_ARG_LEN (1))); | |
151 | |
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152 // If someone thinks of a more graceful way of doing this (or |
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153 // faster for that matter :-)), please let me know! |
5340 | 154 |
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155 if (n > 1) |
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156 for (octave_idx_type j = 0; j < r_nc; j++) |
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157 for (octave_idx_type i = j+1; i < r_nr; i++) |
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158 tmp.xelem (i, j) = std::conj (tmp.xelem (j, i)); |
5340 | 159 |
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160 retval = tmp; |
5340 | 161 } |
162 else | |
163 (*current_liboctave_error_handler) ("chol2inv requires square matrix"); | |
164 | |
165 return retval; | |
166 } | |
167 | |
168 // Compute the inverse of a matrix using the Cholesky factorization. | |
169 ComplexMatrix | |
170 ComplexCHOL::inverse (void) const | |
171 { | |
172 return chol2inv_internal (chol_mat); | |
173 } | |
174 | |
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175 void |
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176 ComplexCHOL::set (const ComplexMatrix& R) |
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177 { |
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178 if (R.is_square ()) |
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179 chol_mat = R; |
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180 else |
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181 (*current_liboctave_error_handler) ("CHOL requires square matrix"); |
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182 } |
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183 |
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184 void |
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185 ComplexCHOL::update (const ComplexMatrix& u) |
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186 { |
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187 octave_idx_type n = chol_mat.rows (); |
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188 |
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189 if (u.length () == n) |
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190 { |
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191 ComplexMatrix tmp = u; |
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192 |
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193 OCTAVE_LOCAL_BUFFER (double, w, n); |
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194 |
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195 F77_XFCN (zch1up, ZCH1UP, (n, chol_mat.fortran_vec (), |
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196 tmp.fortran_vec (), w)); |
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197 } |
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198 else |
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199 (*current_liboctave_error_handler) ("CHOL update dimension mismatch"); |
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200 } |
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201 |
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202 octave_idx_type |
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203 ComplexCHOL::downdate (const ComplexMatrix& u) |
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204 { |
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205 octave_idx_type info = -1; |
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206 |
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207 octave_idx_type n = chol_mat.rows (); |
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208 |
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209 if (u.length () == n) |
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210 { |
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211 ComplexMatrix tmp = u; |
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212 |
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213 OCTAVE_LOCAL_BUFFER (double, w, n); |
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214 |
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215 F77_XFCN (zch1dn, ZCH1DN, (n, chol_mat.fortran_vec (), |
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216 tmp.fortran_vec (), w, info)); |
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217 } |
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218 else |
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219 (*current_liboctave_error_handler) ("CHOL downdate dimension mismatch"); |
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220 |
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221 return info; |
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222 } |
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223 |
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224 octave_idx_type |
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225 ComplexCHOL::insert_sym (const ComplexMatrix& u, octave_idx_type j) |
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226 { |
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227 octave_idx_type info = -1; |
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228 |
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229 octave_idx_type n = chol_mat.rows (); |
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230 |
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231 if (u.length () != n+1) |
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232 (*current_liboctave_error_handler) ("CHOL insert dimension mismatch"); |
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233 else if (j < 0 || j > n) |
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234 (*current_liboctave_error_handler) ("CHOL insert index out of range"); |
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235 else |
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236 { |
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237 ComplexMatrix chol_mat1 (n+1, n+1); |
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238 |
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239 F77_XFCN (zchinx, ZCHINX, (n, chol_mat.data (), chol_mat1.fortran_vec (), |
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240 j+1, u.data (), info)); |
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241 |
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242 chol_mat = chol_mat1; |
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243 } |
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244 |
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245 return info; |
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246 } |
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247 |
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248 void |
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249 ComplexCHOL::delete_sym (octave_idx_type j) |
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250 { |
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251 octave_idx_type n = chol_mat.rows (); |
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252 |
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253 if (j < 0 || j > n-1) |
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254 (*current_liboctave_error_handler) ("CHOL delete index out of range"); |
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255 else |
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256 { |
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257 ComplexMatrix chol_mat1 (n-1, n-1); |
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258 |
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259 F77_XFCN (zchdex, ZCHDEX, (n, chol_mat.data (), chol_mat1.fortran_vec (), j+1)); |
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260 |
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261 chol_mat = chol_mat1; |
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262 } |
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263 } |
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264 |
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265 void |
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266 ComplexCHOL::shift_sym (octave_idx_type i, octave_idx_type j) |
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267 { |
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268 octave_idx_type n = chol_mat.rows (); |
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269 Complex dummy; |
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270 |
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271 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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272 (*current_liboctave_error_handler) ("CHOL shift index out of range"); |
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273 else |
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274 F77_XFCN (zqrshc, ZQRSHC, (0, n, n, &dummy, chol_mat.fortran_vec (), i+1, j+1)); |
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275 } |
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276 |
5340 | 277 ComplexMatrix |
278 chol2inv (const ComplexMatrix& r) | |
279 { | |
280 return chol2inv_internal (r); | |
281 } | |
282 | |
457 | 283 /* |
284 ;;; Local Variables: *** | |
285 ;;; mode: C++ *** | |
286 ;;; End: *** | |
287 */ |