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1 // f-qr.cc -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1993, 1994, 1995 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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240
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24 #ifdef HAVE_CONFIG_H |
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1192
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25 #include <config.h> |
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26 #endif |
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27 |
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453
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28 #include "dbleQR.h" |
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29 #include "CmplxQR.h" |
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30 |
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539
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31 #include "dbleQRP.h" |
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32 #include "CmplxQRP.h" |
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33 |
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34 #include "tree-const.h" |
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35 #include "user-prefs.h" |
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36 #include "gripes.h" |
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636
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37 #include "utils.h" |
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544
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38 #include "help.h" |
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519
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39 #include "defun-dld.h" |
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40 |
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41 DEFUN_DLD_BUILTIN ("qr", Fqr, Sqr, 2, 2, |
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539
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42 "[Q, R] = qr (X): form Q unitary and R upper triangular such\n\ |
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43 that Q * R = X\n\ |
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44 \n\ |
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45 [Q, R] = qr (X, 0): form the economy decomposition such that if X is\n\ |
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46 if X is m by n then only the first n columns of Q\n\ |
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47 are computed.\n\ |
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48 \n\ |
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49 [Q, R, P] = qr (X): form QRP factorization of X where\n\ |
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50 P is a permutation matrix such that\n\ |
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51 A * P = Q * R\n\ |
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52 \n\ |
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53 [Q, R, P] = qr (X, 0): form the economy decomposition with \n\ |
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54 permutation vector P such that Q * R = X (:, P)\n\ |
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55 \n\ |
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56 qr (X) alone returns the output of the LAPACK routine dgeqrf, such\n\ |
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57 that R = triu (qr (X))") |
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58 { |
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519
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59 Octave_object retval; |
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60 |
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61 int nargin = args.length (); |
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62 |
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63 if (nargin != 1 && nargin != 2 || nargout > 3) |
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64 { |
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65 print_usage ("qr"); |
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66 return retval; |
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67 } |
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68 |
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69 tree_constant arg = args(0); |
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70 |
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71 int arg_is_empty = empty_arg ("qr", arg.rows (), arg.columns ()); |
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72 |
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73 if (arg_is_empty < 0) |
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74 return retval; |
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75 else if (arg_is_empty > 0) |
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76 return Octave_object (3, Matrix ()); |
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77 |
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78 QR::type type = nargout == 1 ? QR::raw |
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79 : (nargin == 2 ? QR::economy : QR::std); |
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80 |
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81 if (arg.is_real_type ()) |
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620
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82 { |
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83 Matrix m = arg.matrix_value (); |
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84 |
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85 if (! error_state) |
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620
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86 { |
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87 if (nargout < 3) |
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88 { |
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89 QR fact (m, type); |
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90 retval(1) = fact.R (); |
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91 retval(0) = fact.Q (); |
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92 } |
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93 else |
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94 { |
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95 QRP fact (m, type); |
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96 retval(2) = fact.P (); |
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97 retval(1) = fact.R (); |
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98 retval(0) = fact.Q (); |
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99 } |
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620
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100 } |
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101 } |
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102 else if (arg.is_complex_type ()) |
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620
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103 { |
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104 ComplexMatrix m = arg.complex_matrix_value (); |
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105 |
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106 if (! error_state) |
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107 { |
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108 if (nargout < 3) |
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109 { |
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110 ComplexQR fact (m, type); |
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111 retval(1) = fact.R (); |
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112 retval(0) = fact.Q (); |
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113 } |
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114 else |
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115 { |
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116 ComplexQRP fact (m, type); |
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117 retval(2) = fact.P (); |
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118 retval(1) = fact.R (); |
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119 retval(0) = fact.Q (); |
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120 } |
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121 } |
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122 } |
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123 else |
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124 { |
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125 gripe_wrong_type_arg ("qr", arg); |
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126 } |
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127 |
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128 return retval; |
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129 } |
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130 |
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131 /* |
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132 ;;; Local Variables: *** |
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133 ;;; mode: C++ *** |
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134 ;;; page-delimiter: "^/\\*" *** |
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135 ;;; End: *** |
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136 */ |
