Mercurial > octave
annotate libinterp/corefcn/mgorth.cc @ 21966:112b20240c87
move docstrings in C++ files out of C strings and into comments
* __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ichol__.cc,
__ilu__.cc, __lin_interpn__.cc, __luinc__.cc, __magick_read__.cc,
__pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc,
bitfcns.cc, bsxfun.cc, cellfun.cc, colloc.cc, conv2.cc, daspk.cc,
dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, det.cc, dirfns.cc,
dlmread.cc, dot.cc, eig.cc, ellipj.cc, error.cc, fft.cc, fft2.cc,
fftn.cc, file-io.cc, filter.cc, find.cc, gammainc.cc, gcd.cc,
getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc,
hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, inv.cc, kron.cc,
load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc,
lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc,
oct-hist.cc, octave-link.cc, ordschur.cc, pager.cc, pinv.cc,
pr-output.cc, profiler.cc, psi.cc, pt-jit.cc, quad.cc, quadcc.cc,
qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sighandlers.cc,
sparse.cc, spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc,
sub2ind.cc, svd.cc, sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc,
time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc,
utils.cc, variables.cc, __delaunayn__.cc, __eigs__.cc,
__fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc,
__init_gnuplot__.cc, __osmesa_print__.cc, __voronoi__.cc, amd.cc,
audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc, colamd.cc,
convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc,
ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc, ov-classdef.cc,
ov-fcn-handle.cc, ov-fcn-inline.cc, ov-flt-re-mat.cc, ov-int16.cc,
ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-null-mat.cc,
ov-oncleanup.cc, ov-range.cc, ov-re-mat.cc, ov-struct.cc,
ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc,
ov-usr-fcn.cc, ov.cc, octave.cc, pt-arg-list.cc, pt-binop.cc,
pt-eval.cc, pt-mat.cc, lex.ll, oct-parse.in.yy:
Docstrings are now comments instead of C strings.
* build-aux/mk-opts.pl: Emit docstrings as comments instead of C
strings.
* DASPK-opts.in, LSODE-opts.in: Don't quote " in docstring fragments.
* builtins.h: Include builtin-defun-decls.h unconditionally.
* defun.h (DEFUN, DEFUNX, DEFCONSTFUN): Simply emit declaration.
(DEFALIAS): Always expand to nothing.
* defun-dld.h: No special macro expansions for MAKE_BUILTINS.
(DEFUN_DLD): Use FORWARD_DECLARE_FUN.
(DEFUNX_DLD): Use FORWARD_DECLARE_FUNX.
* defun-int.h: No special macro expansions for MAKE_BUILTINS.
(FORWARD_DECLARE_FUN, FORWARD_DECLARE_FUNX): New macros.
(DEFINE_FUN_INSTALLER_FUN): If compiling an Octave source file, pass
"external-doc" to DEFINE_FUNX_INSTALLER_FUN.
(DEFUN_INTERNAL, DEFCONSTFUN_INTERNAL, DEFUNX_INTERNAL,
DEFALIAS_INTERNAL): Delete.
* common.mk (move_if_change_rule): New macro.
(simple_move_if_change_rule): Define using move_if_change_rule.
* find-defun-files.sh (DEFUN_PATTERN): Update. Don't transform file
name extension to ".df".
* libinterp/mk-pkg-add, gendoc.pl: Operate directly on source files.
* mkbuiltins: New argument, SRCDIR. Operate directly on source files.
* mkdefs: Delete.
* libinterp/module.mk (BUILT_SOURCES): Update list to contain only
files included in other source files.
(GENERATED_MAKE_BUILTINS_INCS, DEF_FILES): Delete.
(LIBINTERP_BUILT_DISTFILES): Include $(OPT_HANDLERS) here.
(LIBINTERP_BUILT_NODISTFILES): Not here. Remove $(ALL_DEF_FILES from
the list.
(libinterp_EXTRA_DIST): Remove mkdefs from the list.
(FOUND_DEFUN_FILES): Rename from SRC_DEF_FILES.
(DLDFCN_DEFUN_FILES): Rename from DLDFCN_DEF_FILES.
(SRC_DEFUN_FILES): Rename from SRC_DEF_FILES.
(ALL_DEFUN_FILES): Rename from ALL_DEF_FILES.
(%.df: %.cc): Delete pattern rule.
(libinterp/build-env-features.cc, libinterp/builtins.cc,
libinterp/dldfcn/PKG_ADD): Use mv instead of move-if-change.
(libinterp/builtins.cc, libinterp/builtin-defun-decls.h):
Update mkbuiltins command.
($(srcdir)/libinterp/DOCSTRINGS): Update gendoc.pl command.
* liboctave/module.mk (BUILT_SOURCES): Don't include
liboctave-build-info.cc in the list.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 21 Jun 2016 16:07:51 -0400 |
parents | 2aef506f3fec |
children | bac0d6f07a3e |
rev | line source |
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1 /* |
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2 |
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3 Copyright (C) 2009-2015 Carlo de Falco |
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4 Copyright (C) 2010 VZLU Prague |
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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 3 of the License, or (at your |
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11 option) any 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, see |
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20 <http://www.gnu.org/licenses/>. |
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21 |
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22 */ |
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23 |
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24 #if defined (HAVE_CONFIG_H) |
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25 # include "config.h" |
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26 #endif |
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27 |
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28 #include "oct-norm.h" |
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29 #include "defun.h" |
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30 #include "error.h" |
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31 #include "errwarn.h" |
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32 |
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33 template <typename ColumnVector, typename Matrix, typename RowVector> |
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34 static void |
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35 do_mgorth (ColumnVector& x, const Matrix& V, RowVector& h) |
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36 { |
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37 octave_idx_type Vc = V.columns (); |
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38 h = RowVector (Vc + 1); |
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39 for (octave_idx_type j = 0; j < Vc; j++) |
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40 { |
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41 ColumnVector Vcj = V.column (j); |
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42 h(j) = RowVector (Vcj.hermitian ()) * x; |
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43 x -= h(j) * Vcj; |
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44 } |
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45 |
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46 h(Vc) = xnorm (x); |
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47 if (octave::math::real (h(Vc)) > 0) |
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48 x /= h(Vc); |
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49 } |
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50 |
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51 DEFUN (mgorth, args, , |
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52 doc: /* -*- texinfo -*- |
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53 @deftypefn {} {[@var{y}, @var{h}] =} mgorth (@var{x}, @var{v}) |
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54 Orthogonalize a given column vector @var{x} with respect to a set of |
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55 orthonormal vectors comprising the columns of @var{v} using the modified |
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56 Gram-Schmidt method. |
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57 |
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58 On exit, @var{y} is a unit vector such that: |
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59 |
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60 @example |
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61 @group |
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62 norm (@var{y}) = 1 |
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63 @var{v}' * @var{y} = 0 |
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64 @var{x} = [@var{v}, @var{y}]*@var{h}' |
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65 @end group |
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66 @end example |
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67 |
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68 @end deftypefn */) |
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69 { |
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70 if (args.length () != 2) |
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71 print_usage (); |
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72 |
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73 octave_value arg_x = args(0); |
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74 octave_value arg_v = args(1); |
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75 |
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76 if (arg_v.ndims () != 2 || arg_x.ndims () != 2 || arg_x.columns () != 1 |
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77 || arg_v.rows () != arg_x.rows ()) |
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78 error ("mgorth: V should be a matrix, and X a column vector with" |
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79 " the same number of rows as V."); |
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80 |
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81 if (! arg_x.is_numeric_type () && ! arg_v.is_numeric_type ()) |
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82 error ("mgorth: X and V must be numeric"); |
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83 |
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84 octave_value_list retval; |
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85 |
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86 bool iscomplex = (arg_x.is_complex_type () || arg_v.is_complex_type ()); |
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87 if (arg_x.is_single_type () || arg_v.is_single_type ()) |
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88 { |
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89 if (iscomplex) |
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90 { |
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91 FloatComplexColumnVector x |
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92 = arg_x.float_complex_column_vector_value (); |
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93 FloatComplexMatrix V = arg_v.float_complex_matrix_value (); |
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94 FloatComplexRowVector h; |
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95 do_mgorth (x, V, h); |
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96 retval = ovl (x, h); |
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97 } |
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98 else |
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99 { |
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100 FloatColumnVector x = arg_x.float_column_vector_value (); |
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101 FloatMatrix V = arg_v.float_matrix_value (); |
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102 FloatRowVector h; |
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103 do_mgorth (x, V, h); |
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104 retval = ovl (x, h); |
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105 } |
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106 } |
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107 else |
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108 { |
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109 if (iscomplex) |
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110 { |
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111 ComplexColumnVector x = arg_x.complex_column_vector_value (); |
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112 ComplexMatrix V = arg_v.complex_matrix_value (); |
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113 ComplexRowVector h; |
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114 do_mgorth (x, V, h); |
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115 retval = ovl (x, h); |
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116 } |
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117 else |
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118 { |
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119 ColumnVector x = arg_x.column_vector_value (); |
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120 Matrix V = arg_v.matrix_value (); |
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121 RowVector h; |
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122 do_mgorth (x, V, h); |
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123 retval = ovl (x, h); |
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124 } |
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125 } |
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126 |
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127 return retval; |
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128 } |
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129 |
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130 /* |
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131 %!test |
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132 %! for ii=1:100 |
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133 %! assert (abs (mgorth (randn (5, 1), eye (5, 4))), [0 0 0 0 1]', eps); |
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134 %! endfor |
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135 |
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136 %!test |
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137 %! a = hilb (5); |
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138 %! a(:, 1) /= norm (a(:, 1)); |
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139 %! for ii = 1:5 |
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140 %! a(:, ii) = mgorth (a(:, ii), a(:, 1:ii-1)); |
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141 %! endfor |
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142 %! assert (a' * a, eye (5), 1e10); |
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143 */ |