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annotate liboctave/numeric/sparse-dmsolve.cc @ 18238:8f256148d82b

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maint: Periodic merge of gui-release to default.
author John W. Eaton <jwe@octave.org>
date Tue, 07 Jan 2014 16:07:54 -0500
parents 8e056300994b
children 4197fc428c7d
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1 /*
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2
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3 Copyright (C) 2006-2013 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
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27 #include <vector>
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28
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29 #include "MArray.h"
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30 #include "MSparse.h"
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31 #include "SparseQR.h"
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32 #include "SparseCmplxQR.h"
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33 #include "MatrixType.h"
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34 #include "oct-sort.h"
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35 #include "oct-locbuf.h"
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36 #include "oct-inttypes.h"
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37
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38 template <class T>
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39 static MSparse<T>
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40 dmsolve_extract (const MSparse<T> &A, const octave_idx_type *Pinv,
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41 const octave_idx_type *Q, octave_idx_type rst,
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42 octave_idx_type rend, octave_idx_type cst,
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43 octave_idx_type cend, octave_idx_type maxnz = -1,
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44 bool lazy = false)
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45 {
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46 octave_idx_type nr = rend - rst;
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47 octave_idx_type nc = cend - cst;
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48 maxnz = (maxnz < 0 ? A.nnz () : maxnz);
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49 octave_idx_type nz;
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50
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51 // Cast to uint64 to handle overflow in this multiplication
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52 if (octave_uint64 (nr)*octave_uint64 (nc) < octave_uint64 (maxnz))
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53 nz = nr*nc;
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54 else
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55 nz = maxnz;
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56
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57 MSparse<T> B (nr, nc, (nz < maxnz ? nz : maxnz));
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58 // Some sparse functions can support lazy indexing (where elements
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59 // in the row are in no particular order), even though octave in
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60 // general can't. For those functions that can using it is a big
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61 // win here in terms of speed.
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62 if (lazy)
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63 {
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64 nz = 0;
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65 for (octave_idx_type j = cst ; j < cend ; j++)
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66 {
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67 octave_idx_type qq = (Q ? Q[j] : j);
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68 B.xcidx (j - cst) = nz;
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69 for (octave_idx_type p = A.cidx (qq) ; p < A.cidx (qq+1) ; p++)
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70 {
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71 octave_quit ();
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72 octave_idx_type r = (Pinv ? Pinv[A.ridx (p)] : A.ridx (p));
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73 if (r >= rst && r < rend)
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74 {
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75 B.xdata (nz) = A.data (p);
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76 B.xridx (nz++) = r - rst ;
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77 }
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78 }
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79 }
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80 B.xcidx (cend - cst) = nz ;
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81 }
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82 else
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83 {
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84 OCTAVE_LOCAL_BUFFER (T, X, rend - rst);
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85 octave_sort<octave_idx_type> sort;
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86 octave_idx_type *ri = B.xridx ();
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87 nz = 0;
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88 for (octave_idx_type j = cst ; j < cend ; j++)
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89 {
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90 octave_idx_type qq = (Q ? Q[j] : j);
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91 B.xcidx (j - cst) = nz;
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92 for (octave_idx_type p = A.cidx (qq) ; p < A.cidx (qq+1) ; p++)
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93 {
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94 octave_quit ();
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95 octave_idx_type r = (Pinv ? Pinv[A.ridx (p)] : A.ridx (p));
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96 if (r >= rst && r < rend)
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97 {
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98 X[r-rst] = A.data (p);
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99 B.xridx (nz++) = r - rst ;
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100 }
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101 }
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102 sort.sort (ri + B.xcidx (j - cst), nz - B.xcidx (j - cst));
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103 for (octave_idx_type p = B.cidx (j - cst); p < nz; p++)
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104 B.xdata (p) = X[B.xridx (p)];
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105 }
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106 B.xcidx (cend - cst) = nz ;
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107 }
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108
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109 return B;
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110 }
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111
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112 #if !defined (CXX_NEW_FRIEND_TEMPLATE_DECL)
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113 static MSparse<double>
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114 dmsolve_extract (const MSparse<double> &A, const octave_idx_type *Pinv,
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115 const octave_idx_type *Q, octave_idx_type rst,
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116 octave_idx_type rend, octave_idx_type cst,
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117 octave_idx_type cend, octave_idx_type maxnz,
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118 bool lazy);
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119
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120 static MSparse<Complex>
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121 dmsolve_extract (const MSparse<Complex> &A, const octave_idx_type *Pinv,
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122 const octave_idx_type *Q, octave_idx_type rst,
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123 octave_idx_type rend, octave_idx_type cst,
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124 octave_idx_type cend, octave_idx_type maxnz,
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125 bool lazy);
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126 #endif
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127
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128 template <class T>
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129 static MArray<T>
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130 dmsolve_extract (const MArray<T> &m, const octave_idx_type *,
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131 const octave_idx_type *, octave_idx_type r1,
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132 octave_idx_type r2, octave_idx_type c1,
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133 octave_idx_type c2)
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134 {
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135 r2 -= 1;
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136 c2 -= 1;
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137 if (r1 > r2) { std::swap (r1, r2); }
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138 if (c1 > c2) { std::swap (c1, c2); }
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139
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140 octave_idx_type new_r = r2 - r1 + 1;
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141 octave_idx_type new_c = c2 - c1 + 1;
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142
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143 MArray<T> result (dim_vector (new_r, new_c));
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144
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145 for (octave_idx_type j = 0; j < new_c; j++)
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146 for (octave_idx_type i = 0; i < new_r; i++)
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147 result.xelem (i, j) = m.elem (r1+i, c1+j);
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148
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149 return result;
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150 }
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151
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152 #if !defined (CXX_NEW_FRIEND_TEMPLATE_DECL)
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153 static MArray<double>
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154 dmsolve_extract (const MArray<double> &m, const octave_idx_type *,
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155 const octave_idx_type *, octave_idx_type r1,
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156 octave_idx_type r2, octave_idx_type c1,
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157 octave_idx_type c2)
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158
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159 static MArray<Complex>
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160 dmsolve_extract (const MArray<Complex> &m, const octave_idx_type *,
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161 const octave_idx_type *, octave_idx_type r1,
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162 octave_idx_type r2, octave_idx_type c1,
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163 octave_idx_type c2)
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164 #endif
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165
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166 template <class T>
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167 static void
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168 dmsolve_insert (MArray<T> &a, const MArray<T> &b, const octave_idx_type *Q,
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169 octave_idx_type r, octave_idx_type c)
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170 {
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171 T *ax = a.fortran_vec ();
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172 const T *bx = b.fortran_vec ();
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173 octave_idx_type anr = a.rows ();
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174 octave_idx_type nr = b.rows ();
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175 octave_idx_type nc = b.cols ();
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176 for (octave_idx_type j = 0; j < nc; j++)
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177 {
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178 octave_idx_type aoff = (c + j) * anr;
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179 octave_idx_type boff = j * nr;
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180 for (octave_idx_type i = 0; i < nr; i++)
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181 {
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182 octave_quit ();
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183 ax[Q[r + i] + aoff] = bx[i + boff];
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184 }
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185 }
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186 }
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187
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188 #if !defined (CXX_NEW_FRIEND_TEMPLATE_DECL)
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189 static void
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190 dmsolve_insert (MArray<double> &a, const MArray<double> &b,
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191 const octave_idx_type *Q, octave_idx_type r, octave_idx_type c);
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192
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193 static void
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194 dmsolve_insert (MArray<Complex> &a, const MArray<Complex> &b,
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195 const octave_idx_type *Q, octave_idx_type r, octave_idx_type c);
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196 #endif
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197
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198 template <class T>
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199 static void
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200 dmsolve_insert (MSparse<T> &a, const MSparse<T> &b, const octave_idx_type *Q,
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diff changeset
201 octave_idx_type r, octave_idx_type c)
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202 {
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203 octave_idx_type b_rows = b.rows ();
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204 octave_idx_type b_cols = b.cols ();
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205 octave_idx_type nr = a.rows ();
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206 octave_idx_type nc = a.cols ();
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207
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208 OCTAVE_LOCAL_BUFFER (octave_idx_type, Qinv, nr);
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209 for (octave_idx_type i = 0; i < nr; i++)
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diff changeset
210 Qinv[Q[i]] = i;
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211
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212 // First count the number of elements in the final array
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diff changeset
213 octave_idx_type nel = a.xcidx (c) + b.nnz ();
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214
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215 if (c + b_cols < nc)
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diff changeset
216 nel += a.xcidx (nc) - a.xcidx (c + b_cols);
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217
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218 for (octave_idx_type i = c; i < c + b_cols; i++)
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219 for (octave_idx_type j = a.xcidx (i); j < a.xcidx (i+1); j++)
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220 if (Qinv[a.xridx (j)] < r || Qinv[a.xridx (j)] >= r + b_rows)
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diff changeset
221 nel++;
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222
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223 OCTAVE_LOCAL_BUFFER (T, X, nr);
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224 octave_sort<octave_idx_type> sort;
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diff changeset
225 MSparse<T> tmp (a);
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226 a = MSparse<T> (nr, nc, nel);
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diff changeset
227 octave_idx_type *ri = a.xridx ();
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228
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229 for (octave_idx_type i = 0; i < tmp.cidx (c); i++)
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230 {
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diff changeset
231 a.xdata (i) = tmp.xdata (i);
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232 a.xridx (i) = tmp.xridx (i);
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233 }
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234 for (octave_idx_type i = 0; i < c + 1; i++)
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diff changeset
235 a.xcidx (i) = tmp.xcidx (i);
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236
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diff changeset
237 octave_idx_type ii = a.xcidx (c);
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238
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239 for (octave_idx_type i = c; i < c + b_cols; i++)
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240 {
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241 octave_quit ();
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242
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243 for (octave_idx_type j = tmp.xcidx (i); j < tmp.xcidx (i+1); j++)
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244 if (Qinv[tmp.xridx (j)] < r || Qinv[tmp.xridx (j)] >= r + b_rows)
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245 {
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diff changeset
246 X[tmp.xridx (j)] = tmp.xdata (j);
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247 a.xridx (ii++) = tmp.xridx (j);
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248 }
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249
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250 octave_quit ();
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251
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252 for (octave_idx_type j = b.cidx (i-c); j < b.cidx (i-c+1); j++)
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253 {
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diff changeset
254 X[Q[r + b.ridx (j)]] = b.data (j);
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255 a.xridx (ii++) = Q[r + b.ridx (j)];
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256 }
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257
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258 sort.sort (ri + a.xcidx (i), ii - a.xcidx (i));
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259 for (octave_idx_type p = a.xcidx (i); p < ii; p++)
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260 a.xdata (p) = X[a.xridx (p)];
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diff changeset
261 a.xcidx (i+1) = ii;
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262 }
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263
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264 for (octave_idx_type i = c + b_cols; i < nc; i++)
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265 {
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diff changeset
266 for (octave_idx_type j = tmp.xcidx (i); j < tmp.cidx (i+1); j++)
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267 {
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268 a.xdata (ii) = tmp.xdata (j);
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269 a.xridx (ii++) = tmp.xridx (j);
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270 }
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271 a.xcidx (i+1) = ii;
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272 }
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273 }
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274
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275 #if !defined (CXX_NEW_FRIEND_TEMPLATE_DECL)
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276 static void
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277 dmsolve_insert (MSparse<double> &a, const SparseMatrix &b,
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278 const octave_idx_type *Q, octave_idx_type r, octave_idx_type c);
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279
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280 static void
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281 dmsolve_insert (MSparse<Complex> &a, const MSparse<Complex> &b,
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282 const octave_idx_type *Q, octave_idx_type r, octave_idx_type c);
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283 #endif
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284
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285 template <class T, class RT>
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286 static void
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287 dmsolve_permute (MArray<RT> &a, const MArray<T>& b, const octave_idx_type *p)
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288 {
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289 octave_idx_type b_nr = b.rows ();
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290 octave_idx_type b_nc = b.cols ();
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291 const T *Bx = b.fortran_vec ();
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292 a.resize (dim_vector (b_nr, b_nc));
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293 RT *Btx = a.fortran_vec ();
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294 for (octave_idx_type j = 0; j < b_nc; j++)
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295 {
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296 octave_idx_type off = j * b_nr;
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297 for (octave_idx_type i = 0; i < b_nr; i++)
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298 {
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299 octave_quit ();
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300 Btx[p[i] + off] = Bx[ i + off];
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301 }
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302 }
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303 }
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304
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305 #if !defined (CXX_NEW_FRIEND_TEMPLATE_DECL)
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306 static void
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307 dmsolve_permute (MArray<double> &a, const MArray<double>& b,
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308 const octave_idx_type *p);
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309
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310 static void
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311 dmsolve_permute (MArray<Complex> &a, const MArray<double>& b,
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312 const octave_idx_type *p);
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313
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314 static void
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315 dmsolve_permute (MArray<Complex> &a, const MArray<Complex>& b,
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316 const octave_idx_type *p);
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317 #endif
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318
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319 template <class T, class RT>
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320 static void
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321 dmsolve_permute (MSparse<RT> &a, const MSparse<T>& b, const octave_idx_type *p)
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322 {
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323 octave_idx_type b_nr = b.rows ();
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324 octave_idx_type b_nc = b.cols ();
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325 octave_idx_type b_nz = b.nnz ();
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326 octave_idx_type nz = 0;
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327 a = MSparse<RT> (b_nr, b_nc, b_nz);
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328 octave_sort<octave_idx_type> sort;
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329 octave_idx_type *ri = a.xridx ();
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330 OCTAVE_LOCAL_BUFFER (RT, X, b_nr);
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331 a.xcidx (0) = 0;
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332 for (octave_idx_type j = 0; j < b_nc; j++)
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333 {
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334 for (octave_idx_type i = b.cidx (j); i < b.cidx (j+1); i++)
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335 {
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336 octave_quit ();
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337 octave_idx_type r = p[b.ridx (i)];
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338 X[r] = b.data (i);
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339 a.xridx (nz++) = p[b.ridx (i)];
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340 }
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341 sort.sort (ri + a.xcidx (j), nz - a.xcidx (j));
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342 for (octave_idx_type i = a.cidx (j); i < nz; i++)
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343 {
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344 octave_quit ();
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345 a.xdata (i) = X[a.xridx (i)];
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346 }
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347 a.xcidx (j+1) = nz;
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348 }
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349 }
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350
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351 #if !defined (CXX_NEW_FRIEND_TEMPLATE_DECL)
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352 static void
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353 dmsolve_permute (MSparse<double> &a, const MSparse<double>& b,
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354 const octave_idx_type *p);
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355
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356 static void
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357 dmsolve_permute (MSparse<Complex> &a, const MSparse<double>& b,
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358 const octave_idx_type *p);
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359
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360 static void
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361 dmsolve_permute (MSparse<Complex> &a, const MSparse<Complex>& b,
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362 const octave_idx_type *p);
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363 #endif
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364
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365 static void
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366 solve_singularity_warning (double)
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367 {
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368 // Dummy singularity handler so that LU solver doesn't flag
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369 // an error for numerically rank defficient matrices
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370 }
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371
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372 template <class RT, class ST, class T>
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373 RT
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374 dmsolve (const ST &a, const T &b, octave_idx_type &info)
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375 {
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376 #ifdef HAVE_CXSPARSE
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377 octave_idx_type nr = a.rows ();
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378 octave_idx_type nc = a.cols ();
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379 octave_idx_type b_nr = b.rows ();
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380 octave_idx_type b_nc = b.cols ();
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381 RT retval;
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382
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383 if (nr < 0 || nc < 0 || nr != b_nr)
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384 (*current_liboctave_error_handler)
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385 ("matrix dimension mismatch in solution of minimum norm problem");
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386 else if (nr == 0 || nc == 0 || b_nc == 0)
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387 retval = RT (nc, b_nc, 0.0);
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388 else
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389 {
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390 octave_idx_type nnz_remaining = a.nnz ();
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391 CXSPARSE_DNAME () csm;
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392 csm.m = nr;
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393 csm.n = nc;
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394 csm.x = 0;
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395 csm.nz = -1;
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396 csm.nzmax = a.nnz ();
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397 // Cast away const on A, with full knowledge that CSparse won't touch it.
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398 // Prevents the methods below making a copy of the data.
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399 csm.p = const_cast<octave_idx_type *>(a.cidx ());
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400 csm.i = const_cast<octave_idx_type *>(a.ridx ());
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401
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diff changeset
402 #if defined (CS_VER) && (CS_VER >= 2)
5792
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diff changeset
403 CXSPARSE_DNAME (d) *dm = CXSPARSE_DNAME(_dmperm) (&csm, 0);
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diff changeset
404 octave_idx_type *p = dm->p;
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5785
diff changeset
405 octave_idx_type *q = dm->q;
eb90c83b4f91 [project @ 2006-05-04 20:14:49 by dbateman]
dbateman
parents: 5785
diff changeset
406 #else
5683
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diff changeset
407 CXSPARSE_DNAME (d) *dm = CXSPARSE_DNAME(_dmperm) (&csm);
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dbateman
parents:
diff changeset
408 octave_idx_type *p = dm->P;
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dbateman
parents:
diff changeset
409 octave_idx_type *q = dm->Q;
5792
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parents: 5785
diff changeset
410 #endif
5683
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diff changeset
411 OCTAVE_LOCAL_BUFFER (octave_idx_type, pinv, nr);
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dbateman
parents:
diff changeset
412 for (octave_idx_type i = 0; i < nr; i++)
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Rik <rik@octave.org>
parents: 14846
diff changeset
413 pinv[p[i]] = i;
5683
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diff changeset
414 RT btmp;
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dbateman
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diff changeset
415 dmsolve_permute (btmp, b, pinv);
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
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diff changeset
416 info = 0;
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
417 retval.resize (nc, b_nc);
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
418
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
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diff changeset
419 // Leading over-determined block
15018
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Rik <rik@octave.org>
parents: 14846
diff changeset
420 if (dm->rr[2] < nr && dm->cc[3] < nc)
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parents: 10158
diff changeset
421 {
15018
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Rik <rik@octave.org>
parents: 14846
diff changeset
422 ST m = dmsolve_extract (a, pinv, q, dm->rr[2], nr, dm->cc[3], nc,
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diff changeset
423 nnz_remaining, true);
14846
460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
424 nnz_remaining -= m.nnz ();
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parents: 11574
diff changeset
425 RT mtmp =
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diff changeset
426 qrsolve (m, dmsolve_extract (btmp, 0, 0, dm->rr[2], b_nr, 0,
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parents: 10158
diff changeset
427 b_nc), info);
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Rik <rik@octave.org>
parents: 14846
diff changeset
428 dmsolve_insert (retval, mtmp, q, dm->cc[3], 0);
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
429 if (dm->rr[2] > 0 && !info)
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parents: 10158
diff changeset
430 {
15018
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Rik <rik@octave.org>
parents: 14846
diff changeset
431 m = dmsolve_extract (a, pinv, q, 0, dm->rr[2],
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
432 dm->cc[3], nc, nnz_remaining, true);
14846
460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
433 nnz_remaining -= m.nnz ();
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parents: 11574
diff changeset
434 RT ctmp = dmsolve_extract (btmp, 0, 0, 0,
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parents: 10158
diff changeset
435 dm->rr[2], 0, b_nc);
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parents: 10158
diff changeset
436 btmp.insert (ctmp - m * mtmp, 0, 0);
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John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
437 }
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parents: 10158
diff changeset
438 }
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parents: 11574
diff changeset
439
5683
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diff changeset
440 // Structurally non-singular blocks
17861
870f3e12e163 maint: Use phrase "FIXME:" for problem areas in code.
Rik <rik@octave.org>
parents: 17769
diff changeset
441 // FIXME: Should use fine Dulmange-Mendelsohn decomposition here.
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
442 if (dm->rr[1] < dm->rr[2] && dm->cc[2] < dm->cc[3] && !info)
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parents: 10158
diff changeset
443 {
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
444 ST m = dmsolve_extract (a, pinv, q, dm->rr[1], dm->rr[2],
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
445 dm->cc[2], dm->cc[3], nnz_remaining, false);
14846
460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
446 nnz_remaining -= m.nnz ();
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
447 RT btmp2 = dmsolve_extract (btmp, 0, 0, dm->rr[1], dm->rr[2],
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parents: 10158
diff changeset
448 0, b_nc);
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parents: 10158
diff changeset
449 double rcond = 0.0;
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parents: 10158
diff changeset
450 MatrixType mtyp (MatrixType::Full);
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parents: 11574
diff changeset
451 RT mtmp = m.solve (mtyp, btmp2, info, rcond,
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
452 solve_singularity_warning, false);
10314
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parents: 10158
diff changeset
453 if (info != 0)
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
454 {
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
455 info = 0;
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
456 mtmp = qrsolve (m, btmp2, info);
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
457 }
5683
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diff changeset
458
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
459 dmsolve_insert (retval, mtmp, q, dm->cc[2], 0);
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
460 if (dm->rr[1] > 0 && !info)
10314
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parents: 10158
diff changeset
461 {
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
462 m = dmsolve_extract (a, pinv, q, 0, dm->rr[1], dm->cc[2],
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
463 dm->cc[3], nnz_remaining, true);
14846
460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
464 nnz_remaining -= m.nnz ();
10314
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parents: 10158
diff changeset
465 RT ctmp = dmsolve_extract (btmp, 0, 0, 0,
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
466 dm->rr[1], 0, b_nc);
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
467 btmp.insert (ctmp - m * mtmp, 0, 0);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
468 }
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
469 }
5683
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parents:
diff changeset
470
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
471 // Trailing under-determined block
15018
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Rik <rik@octave.org>
parents: 14846
diff changeset
472 if (dm->rr[1] > 0 && dm->cc[2] > 0 && !info)
10314
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John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
473 {
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
474 ST m = dmsolve_extract (a, pinv, q, 0, dm->rr[1], 0,
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
475 dm->cc[2], nnz_remaining, true);
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John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
476 RT mtmp =
15018
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
477 qrsolve (m, dmsolve_extract (btmp, 0, 0, 0, dm->rr[1] , 0,
3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents: 14846
diff changeset
478 b_nc), info);
10314
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parents: 10158
diff changeset
479 dmsolve_insert (retval, mtmp, q, 0, 0);
07ebe522dac2 untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
480 }
5683
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parents:
diff changeset
481
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
482 CXSPARSE_DNAME (_dfree) (dm);
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
483 }
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
484 return retval;
5684
f39adfd0913d [project @ 2006-03-16 18:12:01 by dbateman]
dbateman
parents: 5683
diff changeset
485 #else
15493
9ccf4ffb9fa2 error out when attempting sparse minimum solution and CXSparse is unavailable
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 15271
diff changeset
486 (*current_liboctave_error_handler)
9ccf4ffb9fa2 error out when attempting sparse minimum solution and CXSparse is unavailable
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 15271
diff changeset
487 ("CXSPARSE unavailable; cannot solve minimum norm problem");
5684
f39adfd0913d [project @ 2006-03-16 18:12:01 by dbateman]
dbateman
parents: 5683
diff changeset
488 return RT ();
f39adfd0913d [project @ 2006-03-16 18:12:01 by dbateman]
dbateman
parents: 5683
diff changeset
489 #endif
5683
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dbateman
parents:
diff changeset
490 }
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
491
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
492 #if !defined (CXX_NEW_FRIEND_TEMPLATE_DECL)
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dbateman
parents:
diff changeset
493 extern Matrix
11586
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John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
494 dmsolve (const SparseMatrix &a, const Matrix &b,
10314
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
495 octave_idx_type &info);
5683
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
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parents:
diff changeset
496
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
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parents:
diff changeset
497 extern ComplexMatrix
11586
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parents: 11574
diff changeset
498 dmsolve (const SparseMatrix &a, const ComplexMatrix &b,
10314
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
499 octave_idx_type &info);
5683
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parents:
diff changeset
500
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
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parents:
diff changeset
501 extern ComplexMatrix
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parents: 11574
diff changeset
502 dmsolve (const SparseComplexMatrix &a, const Matrix &b,
10314
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John W. Eaton <jwe@octave.org>
parents: 10158
diff changeset
503 octave_idx_type &info);
5683
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parents:
diff changeset
504
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
505 extern ComplexMatrix
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John W. Eaton <jwe@octave.org>
parents: 11574
diff changeset
506 dmsolve (const SparseComplexMatrix &a, const ComplexMatrix &b,
10314
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parents: 10158
diff changeset
507 octave_idx_type &info);
5683
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parents:
diff changeset
508
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
509 extern SparseMatrix
11586
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parents: 11574
diff changeset
510 dmsolve (const SparseMatrix &a, const SparseMatrix &b,
10314
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parents: 10158
diff changeset
511 octave_idx_type &info);
5683
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dbateman
parents:
diff changeset
512
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
dbateman
parents:
diff changeset
513 extern SparseComplexMatrix
11586
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parents: 11574
diff changeset
514 dmsolve (const SparseMatrix &a, const SparseComplexMatrix &b,
10314
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parents: 10158
diff changeset
515 octave_idx_type &info);
5683
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parents:
diff changeset
516
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
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parents:
diff changeset
517 extern SparseComplexMatrix
11586
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parents: 11574
diff changeset
518 dmsolve (const SparseComplexMatrix &a, const SparseMatrix &b,
10314
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parents: 10158
diff changeset
519 octave_idx_type &info);
5683
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dbateman
parents:
diff changeset
520
a6bfe12c4c72 [project @ 2006-03-16 18:02:27 by dbateman]
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parents:
diff changeset
521 extern SparseComplexMatrix
11586
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parents: 11574
diff changeset
522 dmsolve (const SparseComplexMatrix &a, const SparseComplexMatrix &b,
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parents: 10158
diff changeset
523 octave_idx_type &info);
5683
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parents:
diff changeset
524 #endif