annotate liboctave/SparseCmplxQR.cc @ 7505:f5005d9510f4

Remove dispatched sparse functions and treat in the generic versions of the functions
author David Bateman <dbateman@free.fr>
date Wed, 20 Feb 2008 15:52:11 -0500
parents a1dbe9d80eee
children 82be108cc558
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1 /*
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2
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3 Copyright (C) 2005, 2006, 2007 David Bateman
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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 #include <vector>
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27
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28 #include "lo-error.h"
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29 #include "SparseCmplxQR.h"
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30
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31 #if defined(CS_VER) && (((CS_VER == 2) && (CS_SUBVER < 2)) || (CS_VER < 2))
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32 typedef double _Complex cs_complex_t;
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33
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34 // Why did g++ 4.x stl_vector.h make
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35 // OCTAVE_LOCAL_BUFFER (cs_complex_t, buf, n)
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36 // an error ?
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37 #define OCTAVE_C99_COMPLEX(buf, n) \
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38 OCTAVE_LOCAL_BUFFER (double, buf ## tmp, (2 * (n))); \
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39 cs_complex_t *buf = reinterpret_cast<cs_complex_t *> (buf ## tmp);
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40
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41 #define OCTAVE_C99_ZERO (0. + 0.iF)
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42 #define OCTAVE_C99_ONE (1. + 0.iF)
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43 #else
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44 #define OCTAVE_C99_COMPLEX(buf, n) \
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45 OCTAVE_LOCAL_BUFFER (cs_complex_t, buf, (n));
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46 #define OCTAVE_C99_ZERO cs_complex_t(0., 0.);
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47 #define OCTAVE_C99_ONE cs_complex_t(1., 0.);
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48 #endif
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49
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50 SparseComplexQR::SparseComplexQR_rep::SparseComplexQR_rep
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51 (GCC_ATTR_UNUSED const SparseComplexMatrix& a, GCC_ATTR_UNUSED int order)
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52 {
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53 #ifdef HAVE_CXSPARSE
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54 CXSPARSE_ZNAME () A;
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55 A.nzmax = a.nnz ();
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56 A.m = a.rows ();
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57 A.n = a.cols ();
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58 nrows = A.m;
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59 // Cast away const on A, with full knowledge that CSparse won't touch it
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60 // Prevents the methods below making a copy of the data.
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61 A.p = const_cast<octave_idx_type *>(a.cidx ());
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62 A.i = const_cast<octave_idx_type *>(a.ridx ());
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63 A.x = const_cast<cs_complex_t *>(reinterpret_cast<const cs_complex_t *>
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64 (a.data ()));
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65 A.nz = -1;
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66 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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67 #if defined(CS_VER) && (CS_VER >= 2)
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68 S = CXSPARSE_ZNAME (_sqr) (order, &A, 1);
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69 #else
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70 S = CXSPARSE_ZNAME (_sqr) (&A, order - 1, 1);
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71 #endif
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72 N = CXSPARSE_ZNAME (_qr) (&A, S);
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73 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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74 if (!N)
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75 (*current_liboctave_error_handler)
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76 ("SparseComplexQR: sparse matrix QR factorization filled");
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77 count = 1;
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78 #else
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79 (*current_liboctave_error_handler)
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80 ("SparseComplexQR: sparse matrix QR factorization not implemented");
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81 #endif
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82 }
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83
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84 SparseComplexQR::SparseComplexQR_rep::~SparseComplexQR_rep (void)
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85 {
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86 #ifdef HAVE_CXSPARSE
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87 CXSPARSE_ZNAME (_sfree) (S);
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88 CXSPARSE_ZNAME (_nfree) (N);
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89 #endif
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90 }
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91
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92 SparseComplexMatrix
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93 SparseComplexQR::SparseComplexQR_rep::V (void) const
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94 {
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95 #ifdef HAVE_CXSPARSE
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96 // Drop zeros from V and sort
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97 // FIXME Is the double transpose to sort necessary?
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98 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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99 CXSPARSE_ZNAME (_dropzeros) (N->L);
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100 CXSPARSE_ZNAME () *D = CXSPARSE_ZNAME (_transpose) (N->L, 1);
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101 CXSPARSE_ZNAME (_spfree) (N->L);
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102 N->L = CXSPARSE_ZNAME (_transpose) (D, 1);
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103 CXSPARSE_ZNAME (_spfree) (D);
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104 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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105
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106 octave_idx_type nc = N->L->n;
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107 octave_idx_type nz = N->L->nzmax;
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108 SparseComplexMatrix ret (N->L->m, nc, nz);
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109 for (octave_idx_type j = 0; j < nc+1; j++)
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110 ret.xcidx (j) = N->L->p[j];
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111 for (octave_idx_type j = 0; j < nz; j++)
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112 {
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113 ret.xridx (j) = N->L->i[j];
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114 ret.xdata (j) = reinterpret_cast<Complex *>(N->L->x)[j];
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115 }
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116 return ret;
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117 #else
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118 return SparseComplexMatrix ();
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119 #endif
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120 }
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121
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122 ColumnVector
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123 SparseComplexQR::SparseComplexQR_rep::Pinv (void) const
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124 {
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125 #ifdef HAVE_CXSPARSE
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126 ColumnVector ret(N->L->m);
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127 for (octave_idx_type i = 0; i < N->L->m; i++)
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128 #if defined(CS_VER) && (CS_VER >= 2)
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129 ret.xelem(i) = S->pinv[i];
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130 #else
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131 ret.xelem(i) = S->Pinv[i];
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132 #endif
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133 return ret;
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134 #else
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135 return ColumnVector ();
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136 #endif
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137 }
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138
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139 ColumnVector
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140 SparseComplexQR::SparseComplexQR_rep::P (void) const
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141 {
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142 #ifdef HAVE_CXSPARSE
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143 ColumnVector ret(N->L->m);
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144 for (octave_idx_type i = 0; i < N->L->m; i++)
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145 #if defined(CS_VER) && (CS_VER >= 2)
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146 ret.xelem(S->pinv[i]) = i;
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147 #else
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148 ret.xelem(S->Pinv[i]) = i;
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149 #endif
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150 return ret;
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151 #else
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152 return ColumnVector ();
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153 #endif
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154 }
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155
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156 SparseComplexMatrix
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157 SparseComplexQR::SparseComplexQR_rep::R (const bool econ) const
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158 {
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159 #ifdef HAVE_CXSPARSE
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160 // Drop zeros from R and sort
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161 // FIXME Is the double transpose to sort necessary?
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162 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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163 CXSPARSE_ZNAME (_dropzeros) (N->U);
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164 CXSPARSE_ZNAME () *D = CXSPARSE_ZNAME (_transpose) (N->U, 1);
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165 CXSPARSE_ZNAME (_spfree) (N->U);
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166 N->U = CXSPARSE_ZNAME (_transpose) (D, 1);
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167 CXSPARSE_ZNAME (_spfree) (D);
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168 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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169
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170 octave_idx_type nc = N->U->n;
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171 octave_idx_type nz = N->U->nzmax;
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172 SparseComplexMatrix ret ((econ ? (nc > nrows ? nrows : nc) : nrows), nc, nz);
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173 for (octave_idx_type j = 0; j < nc+1; j++)
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174 ret.xcidx (j) = N->U->p[j];
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175 for (octave_idx_type j = 0; j < nz; j++)
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176 {
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177 ret.xridx (j) = N->U->i[j];
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178 ret.xdata (j) = reinterpret_cast<Complex *>(N->U->x)[j];
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179 }
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180 return ret;
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181 #else
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182 return SparseComplexMatrix ();
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183 #endif
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184 }
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185
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186 ComplexMatrix
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187 SparseComplexQR::SparseComplexQR_rep::C (const ComplexMatrix &b) const
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188 {
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189 #ifdef HAVE_CXSPARSE
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190 octave_idx_type b_nr = b.rows();
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191 octave_idx_type b_nc = b.cols();
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192 octave_idx_type nc = N->L->n;
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193 octave_idx_type nr = nrows;
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194 const cs_complex_t *bvec =
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195 reinterpret_cast<const cs_complex_t *>(b.fortran_vec());
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196 ComplexMatrix ret(b_nr, b_nc);
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197 Complex *vec = ret.fortran_vec();
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198 if (nr < 0 || nc < 0 || nr != b_nr)
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199 (*current_liboctave_error_handler) ("matrix dimension mismatch");
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200 else if (nr == 0 || nc == 0 || b_nc == 0)
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201 ret = ComplexMatrix (nc, b_nc, Complex (0.0, 0.0));
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202 else
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203 {
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204 OCTAVE_LOCAL_BUFFER (Complex, buf, S->m2);
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205 for (volatile octave_idx_type j = 0, idx = 0; j < b_nc; j++, idx+=b_nr)
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206 {
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207 OCTAVE_QUIT;
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208 volatile octave_idx_type nm = (nr < nc ? nr : nc);
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209 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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210 #if defined(CS_VER) && (CS_VER >= 2)
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211 CXSPARSE_ZNAME (_ipvec)
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212 (S->pinv, bvec + idx, reinterpret_cast<cs_complex_t *>(buf), b_nr);
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213 #else
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214 CXSPARSE_ZNAME (_ipvec)
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215 (b_nr, S->Pinv, bvec + idx, reinterpret_cast<cs_complex_t *>(buf));
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216 #endif
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217 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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218 for (volatile octave_idx_type i = 0; i < nm; i++)
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219 {
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220 OCTAVE_QUIT;
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221 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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222 CXSPARSE_ZNAME (_happly)
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223 (N->L, i, N->B[i], reinterpret_cast<cs_complex_t *>(buf));
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224 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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225 }
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226 for (octave_idx_type i = 0; i < b_nr; i++)
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227 vec[i+idx] = buf[i];
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228 }
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229 }
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230 return ret;
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231 #else
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232 return ComplexMatrix ();
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233 #endif
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234 }
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235
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236 ComplexMatrix
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237 SparseComplexQR::SparseComplexQR_rep::Q (void) const
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238 {
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239 #ifdef HAVE_CXSPARSE
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240 octave_idx_type nc = N->L->n;
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241 octave_idx_type nr = nrows;
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242 ComplexMatrix ret(nr, nr);
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243 Complex *vec = ret.fortran_vec();
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244 if (nr < 0 || nc < 0)
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245 (*current_liboctave_error_handler) ("matrix dimension mismatch");
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246 else if (nr == 0 || nc == 0)
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247 ret = ComplexMatrix (nc, nr, Complex (0.0, 0.0));
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248 else
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249 {
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250 OCTAVE_C99_COMPLEX (bvec, nr);
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251 for (octave_idx_type i = 0; i < nr; i++)
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252 bvec[i] = OCTAVE_C99_ZERO;
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253 OCTAVE_LOCAL_BUFFER (Complex, buf, S->m2);
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254 for (volatile octave_idx_type j = 0, idx = 0; j < nr; j++, idx+=nr)
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255 {
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256 OCTAVE_QUIT;
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257 bvec[j] = OCTAVE_C99_ONE;
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258 volatile octave_idx_type nm = (nr < nc ? nr : nc);
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259 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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260 #if defined(CS_VER) && (CS_VER >= 2)
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261 CXSPARSE_ZNAME (_ipvec)
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262 (S->pinv, bvec, reinterpret_cast<cs_complex_t *>(buf), nr);
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263 #else
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264 CXSPARSE_ZNAME (_ipvec)
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265 (nr, S->Pinv, bvec, reinterpret_cast<cs_complex_t *>(buf));
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266 #endif
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267 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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268 for (volatile octave_idx_type i = 0; i < nm; i++)
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269 {
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270 OCTAVE_QUIT;
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271 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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272 CXSPARSE_ZNAME (_happly)
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273 (N->L, i, N->B[i], reinterpret_cast<cs_complex_t *>(buf));
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274 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
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275 }
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276 for (octave_idx_type i = 0; i < nr; i++)
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diff changeset
277 vec[i+idx] = buf[i];
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
278 bvec[j] = OCTAVE_C99_ZERO;
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
279 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
280 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
281 return ret.hermitian ();
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
282 #else
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
283 return ComplexMatrix ();
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
284 #endif
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
285 }
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
286
f5005d9510f4 Remove dispatched sparse functions and treat in the generic versions of the functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
287 ComplexMatrix
5610
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diff changeset
288 qrsolve(const SparseComplexMatrix&a, const Matrix &b, octave_idx_type &info)
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diff changeset
289 {
5797
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diff changeset
290 info = -1;
5610
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diff changeset
291 #ifdef HAVE_CXSPARSE
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
292 octave_idx_type nr = a.rows();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
293 octave_idx_type nc = a.cols();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
294 octave_idx_type b_nc = b.cols();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
295 octave_idx_type b_nr = b.rows();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
296 ComplexMatrix x;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
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diff changeset
297
6924
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dbateman
parents: 6719
diff changeset
298 if (nr < 0 || nc < 0 || nr != b_nr)
5610
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diff changeset
299 (*current_liboctave_error_handler)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
300 ("matrix dimension mismatch in solution of minimum norm problem");
6924
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
301 else if (nr == 0 || nc == 0 || b_nc == 0)
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
302 x = ComplexMatrix (nc, b_nc, Complex (0.0, 0.0));
5610
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dbateman
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diff changeset
303 else if (nr >= nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
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diff changeset
304 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
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diff changeset
305 SparseComplexQR q (a, 2);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
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diff changeset
306 if (! q.ok ())
5797
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diff changeset
307 return ComplexMatrix();
5610
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diff changeset
308 x.resize(nc, b_nc);
6685
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diff changeset
309 cs_complex_t *vec = reinterpret_cast<cs_complex_t *>
5610
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diff changeset
310 (x.fortran_vec());
5648
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dbateman
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diff changeset
311 OCTAVE_C99_COMPLEX (buf, q.S()->m2);
5610
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diff changeset
312 OCTAVE_LOCAL_BUFFER (Complex, Xx, b_nr);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
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diff changeset
313 for (volatile octave_idx_type i = 0, idx = 0; i < b_nc; i++, idx+=nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
314 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
315 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
316 for (octave_idx_type j = 0; j < b_nr; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
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diff changeset
317 Xx[j] = b.xelem(j,i);
5681
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diff changeset
318 for (octave_idx_type j = nr; j < q.S()->m2; j++)
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
319 buf[j] = OCTAVE_C99_ZERO;
5610
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diff changeset
320 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
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dbateman
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diff changeset
321 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
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diff changeset
322 CXSPARSE_ZNAME (_ipvec)
6685
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dbateman
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diff changeset
323 (q.S()->pinv, reinterpret_cast<cs_complex_t *>(Xx), buf, nr);
5792
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dbateman
parents: 5775
diff changeset
324 #else
5648
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diff changeset
325 CXSPARSE_ZNAME (_ipvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
326 (nr, q.S()->Pinv, reinterpret_cast<cs_complex_t *>(Xx), buf);
5792
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dbateman
parents: 5775
diff changeset
327 #endif
5610
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diff changeset
328 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
329 for (volatile octave_idx_type j = 0; j < nc; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
330 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
331 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
332 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
333 CXSPARSE_ZNAME (_happly) (q.N()->L, j, q.N()->B[j], buf);
5610
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dbateman
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diff changeset
334 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
335 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
336 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
337 CXSPARSE_ZNAME (_usolve) (q.N()->U, buf);
5792
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dbateman
parents: 5775
diff changeset
338 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
339 CXSPARSE_ZNAME (_ipvec) (q.S()->q, buf, vec + idx, nc);
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
340 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
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diff changeset
341 CXSPARSE_ZNAME (_ipvec) (nc, q.S()->Q, buf, vec + idx);
5792
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dbateman
parents: 5775
diff changeset
342 #endif
5610
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dbateman
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diff changeset
343 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
344 }
5797
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dbateman
parents: 5792
diff changeset
345 info = 0;
5610
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parents:
diff changeset
346 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
347 else
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
348 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
349 SparseComplexMatrix at = a.hermitian();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
350 SparseComplexQR q (at, 2);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
351 if (! q.ok ())
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
352 return ComplexMatrix();
5610
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dbateman
parents:
diff changeset
353 x.resize(nc, b_nc);
6685
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dbateman
parents: 6513
diff changeset
354 cs_complex_t *vec = reinterpret_cast<cs_complex_t *>
5610
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dbateman
parents:
diff changeset
355 (x.fortran_vec());
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
356 volatile octave_idx_type nbuf = (nc > q.S()->m2 ? nc : q.S()->m2);
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
357 OCTAVE_C99_COMPLEX (buf, nbuf);
5610
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dbateman
parents:
diff changeset
358 OCTAVE_LOCAL_BUFFER (Complex, Xx, b_nr);
6685
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dbateman
parents: 6513
diff changeset
359 #if defined(CS_VER) && (((CS_VER == 2) && (CS_SUBVER >= 2)) || (CS_VER > 2))
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
360 OCTAVE_LOCAL_BUFFER (double, B, nr);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
361 for (octave_idx_type i = 0; i < nr; i++)
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
362 B[i] = q.N()->B [i];
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
363 #else
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
364 OCTAVE_LOCAL_BUFFER (Complex, B, nr);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
365 for (octave_idx_type i = 0; i < nr; i++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
366 B[i] = conj (reinterpret_cast<Complex *>(q.N()->B) [i]);
6685
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dbateman
parents: 6513
diff changeset
367 #endif
5610
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dbateman
parents:
diff changeset
368 for (volatile octave_idx_type i = 0, idx = 0; i < b_nc; i++, idx+=nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
369 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
370 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
371 for (octave_idx_type j = 0; j < b_nr; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
372 Xx[j] = b.xelem(j,i);
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
373 for (octave_idx_type j = nr; j < nbuf; j++)
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
374 buf[j] = OCTAVE_C99_ZERO;
5610
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parents:
diff changeset
375 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
376 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
377 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
378 (q.S()->q, reinterpret_cast<cs_complex_t *>(Xx), buf, nr);
5792
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dbateman
parents: 5775
diff changeset
379 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
380 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
381 (nr, q.S()->Q, reinterpret_cast<cs_complex_t *>(Xx), buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
382 #endif
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
383 CXSPARSE_ZNAME (_utsolve) (q.N()->U, buf);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
384 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
385 for (volatile octave_idx_type j = nr-1; j >= 0; j--)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
386 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
387 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
388 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
389
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
390 #if defined(CS_VER) && (((CS_VER == 2) && (CS_SUBVER >= 2)) || (CS_VER > 2))
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
391 CXSPARSE_ZNAME (_happly) (q.N()->L, j, B[j], buf);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
392 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
393 CXSPARSE_ZNAME (_happly)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
394 (q.N()->L, j, reinterpret_cast<cs_complex_t *>(B)[j], buf);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
395 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
396 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
397 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
398 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
399 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
400 CXSPARSE_ZNAME (_pvec) (q.S()->pinv, buf, vec + idx, nc);
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
401 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
402 CXSPARSE_ZNAME (_pvec) (nc, q.S()->Pinv, buf, vec + idx);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
403 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
404 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
405 }
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
406 info = 0;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
407 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
408
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
409 return x;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
410 #else
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
411 return ComplexMatrix ();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
412 #endif
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
413 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
414
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
415 SparseComplexMatrix
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
416 qrsolve(const SparseComplexMatrix&a, const SparseMatrix &b, octave_idx_type &info)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
417 {
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
418 info = -1;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
419 #ifdef HAVE_CXSPARSE
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
420 octave_idx_type nr = a.rows();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
421 octave_idx_type nc = a.cols();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
422 octave_idx_type b_nc = b.cols();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
423 octave_idx_type b_nr = b.rows();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
424 SparseComplexMatrix x;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
425 volatile octave_idx_type ii, x_nz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
426
6924
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
427 if (nr < 0 || nc < 0 || nr != b_nr)
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
428 (*current_liboctave_error_handler)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
429 ("matrix dimension mismatch in solution of minimum norm problem");
6924
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
430 else if (nr == 0 || nc == 0 || b_nc == 0)
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
431 x = SparseComplexMatrix (nc, b_nc);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
432 else if (nr >= nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
433 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
434 SparseComplexQR q (a, 2);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
435 if (! q.ok ())
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
436 return SparseComplexMatrix();
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
437 x = SparseComplexMatrix (nc, b_nc, b.nzmax());
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
438 x.xcidx(0) = 0;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
439 x_nz = b.nzmax();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
440 ii = 0;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
441 OCTAVE_LOCAL_BUFFER (Complex, Xx, (b_nr > nc ? b_nr : nc));
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
442 OCTAVE_C99_COMPLEX (buf, q.S()->m2);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
443 for (volatile octave_idx_type i = 0, idx = 0; i < b_nc; i++, idx+=nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
444 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
445 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
446 for (octave_idx_type j = 0; j < b_nr; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
447 Xx[j] = b.xelem(j,i);
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
448 for (octave_idx_type j = nr; j < q.S()->m2; j++)
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
449 buf[j] = OCTAVE_C99_ZERO;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
450 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
451 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
452 CXSPARSE_ZNAME (_ipvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
453 (q.S()->pinv, reinterpret_cast<cs_complex_t *>(Xx), buf, nr);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
454 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
455 CXSPARSE_ZNAME (_ipvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
456 (nr, q.S()->Pinv, reinterpret_cast<cs_complex_t *>(Xx), buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
457 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
458 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
459 for (volatile octave_idx_type j = 0; j < nc; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
460 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
461 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
462 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
463 CXSPARSE_ZNAME (_happly) (q.N()->L, j, q.N()->B[j], buf);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
464 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
465 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
466 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
467 CXSPARSE_ZNAME (_usolve) (q.N()->U, buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
468 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
469 CXSPARSE_ZNAME (_ipvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
470 (q.S()->q, buf, reinterpret_cast<cs_complex_t *>(Xx), nc);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
471 #else
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
472 CXSPARSE_ZNAME (_ipvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
473 (nc, q.S()->Q, buf, reinterpret_cast<cs_complex_t *>(Xx));
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
474 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
475 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
476
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
477 for (octave_idx_type j = 0; j < nc; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
478 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
479 Complex tmp = Xx[j];
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
480 if (tmp != 0.0)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
481 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
482 if (ii == x_nz)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
483 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
484 // Resize the sparse matrix
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
485 octave_idx_type sz = x_nz * (b_nc - i) / b_nc;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
486 sz = (sz > 10 ? sz : 10) + x_nz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
487 x.change_capacity (sz);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
488 x_nz = sz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
489 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
490 x.xdata(ii) = tmp;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
491 x.xridx(ii++) = j;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
492 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
493 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
494 x.xcidx(i+1) = ii;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
495 }
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
496 info = 0;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
497 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
498 else
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
499 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
500 SparseComplexMatrix at = a.hermitian();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
501 SparseComplexQR q (at, 2);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
502 if (! q.ok ())
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
503 return SparseComplexMatrix();
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
504 x = SparseComplexMatrix (nc, b_nc, b.nzmax());
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
505 x.xcidx(0) = 0;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
506 x_nz = b.nzmax();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
507 ii = 0;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
508 volatile octave_idx_type nbuf = (nc > q.S()->m2 ? nc : q.S()->m2);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
509 OCTAVE_LOCAL_BUFFER (Complex, Xx, (b_nr > nc ? b_nr : nc));
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
510 OCTAVE_C99_COMPLEX (buf, nbuf);
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
511
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
512 #if defined(CS_VER) && (((CS_VER == 2) && (CS_SUBVER >= 2)) || (CS_VER > 2))
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
513 OCTAVE_LOCAL_BUFFER (double, B, nr);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
514 for (octave_idx_type i = 0; i < nr; i++)
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
515 B[i] = q.N()->B [i];
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
516 #else
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
517 OCTAVE_LOCAL_BUFFER (Complex, B, nr);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
518 for (octave_idx_type i = 0; i < nr; i++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
519 B[i] = conj (reinterpret_cast<Complex *>(q.N()->B) [i]);
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
520 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
521 for (volatile octave_idx_type i = 0, idx = 0; i < b_nc; i++, idx+=nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
522 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
523 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
524 for (octave_idx_type j = 0; j < b_nr; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
525 Xx[j] = b.xelem(j,i);
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
526 for (octave_idx_type j = nr; j < nbuf; j++)
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
527 buf[j] = OCTAVE_C99_ZERO;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
528 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
529 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
530 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
531 (q.S()->q, reinterpret_cast<cs_complex_t *>(Xx), buf, nr);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
532 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
533 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
534 (nr, q.S()->Q, reinterpret_cast<cs_complex_t *>(Xx), buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
535 #endif
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
536 CXSPARSE_ZNAME (_utsolve) (q.N()->U, buf);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
537 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
538 for (volatile octave_idx_type j = nr-1; j >= 0; j--)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
539 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
540 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
541 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
542 #if defined(CS_VER) && (((CS_VER == 2) && (CS_SUBVER >= 2)) || (CS_VER > 2))
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
543 CXSPARSE_ZNAME (_happly) (q.N()->L, j, B[j], buf);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
544 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
545 CXSPARSE_ZNAME (_happly)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
546 (q.N()->L, j, reinterpret_cast<cs_complex_t *>(B)[j], buf);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
547 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
548 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
549 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
550 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
551 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
552 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
553 (q.S()->pinv, buf, reinterpret_cast<cs_complex_t *>(Xx), nc);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
554 #else
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
555 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
556 (nc, q.S()->Pinv, buf, reinterpret_cast<cs_complex_t *>(Xx));
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
557 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
558 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
559
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
560 for (octave_idx_type j = 0; j < nc; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
561 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
562 Complex tmp = Xx[j];
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
563 if (tmp != 0.0)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
564 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
565 if (ii == x_nz)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
566 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
567 // Resize the sparse matrix
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
568 octave_idx_type sz = x_nz * (b_nc - i) / b_nc;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
569 sz = (sz > 10 ? sz : 10) + x_nz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
570 x.change_capacity (sz);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
571 x_nz = sz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
572 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
573 x.xdata(ii) = tmp;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
574 x.xridx(ii++) = j;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
575 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
576 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
577 x.xcidx(i+1) = ii;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
578 }
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
579 info = 0;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
580 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
581
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
582 x.maybe_compress ();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
583 return x;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
584 #else
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
585 return SparseComplexMatrix ();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
586 #endif
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
587 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
588
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
589 ComplexMatrix
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
590 qrsolve(const SparseComplexMatrix&a, const ComplexMatrix &b, octave_idx_type &info)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
591 {
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
592 info = -1;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
593 #ifdef HAVE_CXSPARSE
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
594 octave_idx_type nr = a.rows();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
595 octave_idx_type nc = a.cols();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
596 octave_idx_type b_nc = b.cols();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
597 octave_idx_type b_nr = b.rows();
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
598 const cs_complex_t *bvec =
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
599 reinterpret_cast<const cs_complex_t *>(b.fortran_vec());
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
600 ComplexMatrix x;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
601
6924
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
602 if (nr < 0 || nc < 0 || nr != b_nr)
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
603 (*current_liboctave_error_handler)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
604 ("matrix dimension mismatch in solution of minimum norm problem");
6924
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
605 else if (nr == 0 || nc == 0 || b_nc == 0)
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
606 x = ComplexMatrix (nc, b_nc, Complex (0.0, 0.0));
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
607 else if (nr >= nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
608 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
609 SparseComplexQR q (a, 2);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
610 if (! q.ok ())
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
611 return ComplexMatrix();
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
612 x.resize(nc, b_nc);
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
613 cs_complex_t *vec = reinterpret_cast<cs_complex_t *>
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
614 (x.fortran_vec());
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
615 OCTAVE_C99_COMPLEX (buf, q.S()->m2);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
616 for (volatile octave_idx_type i = 0, idx = 0, bidx = 0; i < b_nc;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
617 i++, idx+=nc, bidx+=b_nr)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
618 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
619 OCTAVE_QUIT;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
620 for (octave_idx_type j = nr; j < q.S()->m2; j++)
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
621 buf[j] = OCTAVE_C99_ZERO;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
622 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
623 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
624 CXSPARSE_ZNAME (_ipvec) (q.S()->pinv, bvec + bidx, buf, nr);
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
625 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
626 CXSPARSE_ZNAME (_ipvec) (nr, q.S()->Pinv, bvec + bidx, buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
627 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
628 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
629 for (volatile octave_idx_type j = 0; j < nc; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
630 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
631 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
632 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
633 CXSPARSE_ZNAME (_happly) (q.N()->L, j, q.N()->B[j], buf);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
634 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
635 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
636 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
637 CXSPARSE_ZNAME (_usolve) (q.N()->U, buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
638 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
639 CXSPARSE_ZNAME (_ipvec) (q.S()->q, buf, vec + idx, nc);
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
640 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
641 CXSPARSE_ZNAME (_ipvec) (nc, q.S()->Q, buf, vec + idx);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
642 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
643 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
644 }
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
645 info = 0;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
646 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
647 else
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
648 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
649 SparseComplexMatrix at = a.hermitian();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
650 SparseComplexQR q (at, 2);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
651 if (! q.ok ())
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
652 return ComplexMatrix();
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
653 x.resize(nc, b_nc);
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
654 cs_complex_t *vec = reinterpret_cast<cs_complex_t *>
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
655 (x.fortran_vec());
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
656 volatile octave_idx_type nbuf = (nc > q.S()->m2 ? nc : q.S()->m2);
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
657 OCTAVE_C99_COMPLEX (buf, nbuf);
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
658 #if defined(CS_VER) && (((CS_VER == 2) && (CS_SUBVER >= 2)) || (CS_VER > 2))
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
659 OCTAVE_LOCAL_BUFFER (double, B, nr);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
660 for (octave_idx_type i = 0; i < nr; i++)
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
661 B[i] = q.N()->B [i];
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
662 #else
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
663 OCTAVE_LOCAL_BUFFER (Complex, B, nr);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
664 for (octave_idx_type i = 0; i < nr; i++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
665 B[i] = conj (reinterpret_cast<Complex *>(q.N()->B) [i]);
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
666 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
667 for (volatile octave_idx_type i = 0, idx = 0, bidx = 0; i < b_nc;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
668 i++, idx+=nc, bidx+=b_nr)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
669 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
670 OCTAVE_QUIT;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
671 for (octave_idx_type j = nr; j < nbuf; j++)
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
672 buf[j] = OCTAVE_C99_ZERO;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
673 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
674 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
675 CXSPARSE_ZNAME (_pvec) (q.S()->q, bvec + bidx, buf, nr);
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
676 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
677 CXSPARSE_ZNAME (_pvec) (nr, q.S()->Q, bvec + bidx, buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
678 #endif
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
679 CXSPARSE_ZNAME (_utsolve) (q.N()->U, buf);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
680 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
681 for (volatile octave_idx_type j = nr-1; j >= 0; j--)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
682 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
683 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
684 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
685 #if defined(CS_VER) && (((CS_VER == 2) && (CS_SUBVER >= 2)) || (CS_VER > 2))
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
686 CXSPARSE_ZNAME (_happly) (q.N()->L, j, B[j], buf);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
687 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
688 CXSPARSE_ZNAME (_happly)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
689 (q.N()->L, j, reinterpret_cast<cs_complex_t *>(B)[j], buf);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
690 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
691 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
692 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
693 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
694 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
695 CXSPARSE_ZNAME (_pvec) (q.S()->pinv, buf, vec + idx, nc);
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
696 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
697 CXSPARSE_ZNAME (_pvec) (nc, q.S()->Pinv, buf, vec + idx);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
698 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
699 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
700 }
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
701 info = 0;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
702 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
703
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
704 return x;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
705 #else
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
706 return ComplexMatrix ();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
707 #endif
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
708 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
709
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
710 SparseComplexMatrix
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
711 qrsolve(const SparseComplexMatrix&a, const SparseComplexMatrix &b, octave_idx_type &info)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
712 {
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
713 info = -1;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
714 #ifdef HAVE_CXSPARSE
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
715 octave_idx_type nr = a.rows();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
716 octave_idx_type nc = a.cols();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
717 octave_idx_type b_nc = b.cols();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
718 octave_idx_type b_nr = b.rows();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
719 SparseComplexMatrix x;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
720 volatile octave_idx_type ii, x_nz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
721
6924
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
722 if (nr < 0 || nc < 0 || nr != b_nr)
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
723 (*current_liboctave_error_handler)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
724 ("matrix dimension mismatch in solution of minimum norm problem");
6924
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
725 else if (nr == 0 || nc == 0 || b_nc == 0)
be176b7e110a [project @ 2007-09-25 19:08:19 by dbateman]
dbateman
parents: 6719
diff changeset
726 x = SparseComplexMatrix (nc, b_nc);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
727 else if (nr >= nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
728 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
729 SparseComplexQR q (a, 2);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
730 if (! q.ok ())
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
731 return SparseComplexMatrix();
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
732 x = SparseComplexMatrix (nc, b_nc, b.nzmax());
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
733 x.xcidx(0) = 0;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
734 x_nz = b.nzmax();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
735 ii = 0;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
736 OCTAVE_LOCAL_BUFFER (Complex, Xx, (b_nr > nc ? b_nr : nc));
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
737 OCTAVE_C99_COMPLEX (buf, q.S()->m2);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
738 for (volatile octave_idx_type i = 0, idx = 0; i < b_nc; i++, idx+=nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
739 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
740 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
741 for (octave_idx_type j = 0; j < b_nr; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
742 Xx[j] = b.xelem(j,i);
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
743 for (octave_idx_type j = nr; j < q.S()->m2; j++)
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
744 buf[j] = OCTAVE_C99_ZERO;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
745 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
746 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
747 CXSPARSE_ZNAME (_ipvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
748 (q.S()->pinv, reinterpret_cast<cs_complex_t *>(Xx), buf, nr);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
749 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
750 CXSPARSE_ZNAME (_ipvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
751 (nr, q.S()->Pinv, reinterpret_cast<cs_complex_t *>(Xx), buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
752 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
753 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
754 for (volatile octave_idx_type j = 0; j < nc; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
755 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
756 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
757 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
758 CXSPARSE_ZNAME (_happly) (q.N()->L, j, q.N()->B[j], buf);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
759 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
760 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
761 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
762 CXSPARSE_ZNAME (_usolve) (q.N()->U, buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
763 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
764 CXSPARSE_ZNAME (_ipvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
765 (q.S()->q, buf, reinterpret_cast<cs_complex_t *>(Xx), nc);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
766 #else
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
767 CXSPARSE_ZNAME (_ipvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
768 (nc, q.S()->Q, buf, reinterpret_cast<cs_complex_t *>(Xx));
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
769 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
770 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
771
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
772 for (octave_idx_type j = 0; j < nc; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
773 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
774 Complex tmp = Xx[j];
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
775 if (tmp != 0.0)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
776 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
777 if (ii == x_nz)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
778 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
779 // Resize the sparse matrix
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
780 octave_idx_type sz = x_nz * (b_nc - i) / b_nc;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
781 sz = (sz > 10 ? sz : 10) + x_nz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
782 x.change_capacity (sz);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
783 x_nz = sz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
784 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
785 x.xdata(ii) = tmp;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
786 x.xridx(ii++) = j;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
787 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
788 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
789 x.xcidx(i+1) = ii;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
790 }
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
791 info = 0;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
792 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
793 else
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
794 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
795 SparseComplexMatrix at = a.hermitian();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
796 SparseComplexQR q (at, 2);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
797 if (! q.ok ())
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
798 return SparseComplexMatrix();
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
799 x = SparseComplexMatrix (nc, b_nc, b.nzmax());
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
800 x.xcidx(0) = 0;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
801 x_nz = b.nzmax();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
802 ii = 0;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
803 volatile octave_idx_type nbuf = (nc > q.S()->m2 ? nc : q.S()->m2);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
804 OCTAVE_LOCAL_BUFFER (Complex, Xx, (b_nr > nc ? b_nr : nc));
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
805 OCTAVE_C99_COMPLEX (buf, nbuf);
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
806 #if defined(CS_VER) && (((CS_VER == 2) && (CS_SUBVER >= 2)) || (CS_VER > 2))
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
807 OCTAVE_LOCAL_BUFFER (double, B, nr);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
808 for (octave_idx_type i = 0; i < nr; i++)
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
809 B[i] = q.N()->B [i];
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
810 #else
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
811 OCTAVE_LOCAL_BUFFER (Complex, B, nr);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
812 for (octave_idx_type i = 0; i < nr; i++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
813 B[i] = conj (reinterpret_cast<Complex *>(q.N()->B) [i]);
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
814 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
815 for (volatile octave_idx_type i = 0, idx = 0; i < b_nc; i++, idx+=nc)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
816 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
817 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
818 for (octave_idx_type j = 0; j < b_nr; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
819 Xx[j] = b.xelem(j,i);
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
820 for (octave_idx_type j = nr; j < nbuf; j++)
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5648
diff changeset
821 buf[j] = OCTAVE_C99_ZERO;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
822 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
823 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
824 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
825 (q.S()->q, reinterpret_cast<cs_complex_t *>(Xx), buf, nr);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
826 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
827 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
828 (nr, q.S()->Q, reinterpret_cast<cs_complex_t *>(Xx), buf);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
829 #endif
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
830 CXSPARSE_ZNAME (_utsolve) (q.N()->U, buf);
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
831 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
832 for (volatile octave_idx_type j = nr-1; j >= 0; j--)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
833 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
834 OCTAVE_QUIT;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
835 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
836 #if defined(CS_VER) && (((CS_VER == 2) && (CS_SUBVER >= 2)) || (CS_VER > 2))
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
837 CXSPARSE_ZNAME (_happly) (q.N()->L, j, B[j], buf);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
838 #else
5648
69a4f320d95a [project @ 2006-03-08 20:17:37 by dbateman]
dbateman
parents: 5610
diff changeset
839 CXSPARSE_ZNAME (_happly)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
840 (q.N()->L, j, reinterpret_cast<cs_complex_t *>(B)[j], buf);
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
841 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
842 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
843 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
844 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
845 #if defined(CS_VER) && (CS_VER >= 2)
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
846 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
847 (q.S()->pinv, buf, reinterpret_cast<cs_complex_t *>(Xx), nc);
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
848 #else
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
849 CXSPARSE_ZNAME (_pvec)
6685
8c8ef7e4821d [project @ 2007-06-02 11:39:42 by dbateman]
dbateman
parents: 6513
diff changeset
850 (nc, q.S()->Pinv, buf, reinterpret_cast<cs_complex_t *>(Xx));
5792
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5775
diff changeset
851 #endif
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
852 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
853
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
854 for (octave_idx_type j = 0; j < nc; j++)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
855 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
856 Complex tmp = Xx[j];
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
857 if (tmp != 0.0)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
858 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
859 if (ii == x_nz)
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
860 {
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
861 // Resize the sparse matrix
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
862 octave_idx_type sz = x_nz * (b_nc - i) / b_nc;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
863 sz = (sz > 10 ? sz : 10) + x_nz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
864 x.change_capacity (sz);
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
865 x_nz = sz;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
866 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
867 x.xdata(ii) = tmp;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
868 x.xridx(ii++) = j;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
869 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
870 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
871 x.xcidx(i+1) = ii;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
872 }
5797
11fcab4c461d [project @ 2006-05-09 06:15:17 by dbateman]
dbateman
parents: 5792
diff changeset
873 info = 0;
5610
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
874 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
875
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
876 x.maybe_compress ();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
877 return x;
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
878 #else
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
879 return SparseComplexMatrix ();
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
880 #endif
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
881 }
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
882
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
883 /*
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
884 ;;; Local Variables: ***
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
885 ;;; mode: C++ ***
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
886 ;;; End: ***
9761b7d24e9e [project @ 2006-02-09 09:12:02 by dbateman]
dbateman
parents:
diff changeset
887 */