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>
date Tue, 21 Jun 2016 16:07:51 -0400
parents 2aef506f3fec
children bac0d6f07a3e
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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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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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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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f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
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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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f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
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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 */