annotate libinterp/corefcn/rcond.cc @ 20172:4f45eaf83908 stable

doc: Update more docstrings to have one sentence summary as first line. Reviewed libinterp/corefcn directory. * libinterp/corefcn/__ilu__.cc, libinterp/corefcn/balance.cc, libinterp/corefcn/besselj.cc, libinterp/corefcn/betainc.cc, libinterp/corefcn/bitfcns.cc, libinterp/corefcn/bsxfun.cc, libinterp/corefcn/cellfun.cc, libinterp/corefcn/colloc.cc, libinterp/corefcn/conv2.cc, libinterp/corefcn/data.cc, libinterp/corefcn/debug.cc, libinterp/corefcn/defaults.cc, libinterp/corefcn/det.cc, libinterp/corefcn/dirfns.cc, libinterp/corefcn/dlmread.cc, libinterp/corefcn/dot.cc, libinterp/corefcn/eig.cc, libinterp/corefcn/error.cc, libinterp/corefcn/fft2.cc, libinterp/corefcn/fftn.cc, libinterp/corefcn/file-io.cc, libinterp/corefcn/filter.cc, libinterp/corefcn/find.cc, libinterp/corefcn/gammainc.cc, libinterp/corefcn/gcd.cc, libinterp/corefcn/getgrent.cc, libinterp/corefcn/getpwent.cc, libinterp/corefcn/getrusage.cc, libinterp/corefcn/graphics.cc, libinterp/corefcn/help.cc, libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc, libinterp/corefcn/inv.cc, libinterp/corefcn/kron.cc, libinterp/corefcn/load-path.cc, libinterp/corefcn/load-save.cc, libinterp/corefcn/lookup.cc, libinterp/corefcn/ls-oct-ascii.cc, libinterp/corefcn/lsode.cc, libinterp/corefcn/lu.cc, libinterp/corefcn/luinc.cc, libinterp/corefcn/mappers.cc, libinterp/corefcn/matrix_type.cc, libinterp/corefcn/max.cc, libinterp/corefcn/md5sum.cc, libinterp/corefcn/mgorth.cc, libinterp/corefcn/nproc.cc, libinterp/corefcn/oct-hist.cc, libinterp/corefcn/ordschur.cc, libinterp/corefcn/pager.cc, libinterp/corefcn/pinv.cc, libinterp/corefcn/pr-output.cc, libinterp/corefcn/pt-jit.cc, libinterp/corefcn/quad.cc, libinterp/corefcn/quadcc.cc, libinterp/corefcn/qz.cc, libinterp/corefcn/rand.cc, libinterp/corefcn/rcond.cc, libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc, libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sparse.cc, libinterp/corefcn/spparms.cc, libinterp/corefcn/str2double.cc, libinterp/corefcn/strfind.cc, libinterp/corefcn/strfns.cc, libinterp/corefcn/sub2ind.cc, libinterp/corefcn/svd.cc, libinterp/corefcn/symtab.cc, libinterp/corefcn/syscalls.cc, libinterp/corefcn/sysdep.cc, libinterp/corefcn/time.cc, libinterp/corefcn/toplev.cc, libinterp/corefcn/tril.cc, libinterp/corefcn/tsearch.cc, libinterp/corefcn/typecast.cc, libinterp/corefcn/urlwrite.cc, libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc, scripts/polynomial/spline.m: Update more docstrings to have one sentence summary as first line.
author Rik <rik@octave.org>
date Sat, 09 May 2015 17:19:30 -0700
parents 4197fc428c7d
children 8bb38ba1bad6
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1 /*
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2
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3 Copyright (C) 2008-2015 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 "defun.h"
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28 #include "error.h"
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29 #include "gripes.h"
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30 #include "oct-obj.h"
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31 #include "utils.h"
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32
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33 DEFUN (rcond, args, ,
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34 "-*- texinfo -*-\n\
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35 @deftypefn {Built-in Function} {@var{c} =} rcond (@var{A})\n\
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36 Compute the 1-norm estimate of the reciprocal condition number as returned\n\
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37 by @sc{lapack}.\n\
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38 \n\
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39 If the matrix is well-conditioned then @var{c} will be near 1 and if the\n\
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40 matrix is poorly conditioned it will be close to 0.\n\
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41 \n\
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42 The matrix @var{A} must not be sparse. If the matrix is sparse then\n\
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43 @code{condest (@var{A})} or @code{rcond (full (@var{A}))} should be used\n\
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44 instead.\n\
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45 @seealso{cond, condest}\n\
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46 @end deftypefn")
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47 {
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48 octave_value retval;
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49
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50 int nargin = args.length ();
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51
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52 if (nargin != 1)
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53 print_usage ();
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54 else if (args(0).is_sparse_type ())
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55 error ("rcond: for sparse matrices use 'rcond (full (a))' or 'condest (a)' instead");
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56 else if (args(0).is_single_type ())
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57 {
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58 if (args(0).is_complex_type ())
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59 {
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60 FloatComplexMatrix m = args(0).float_complex_matrix_value ();
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61 MatrixType mattyp;
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62 retval = m.rcond (mattyp);
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63 args(0).matrix_type (mattyp);
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64 }
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65 else
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66 {
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67 FloatMatrix m = args(0).float_matrix_value ();
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68 MatrixType mattyp;
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69 retval = m.rcond (mattyp);
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70 args(0).matrix_type (mattyp);
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71 }
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72 }
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73 else if (args(0).is_complex_type ())
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74 {
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75 ComplexMatrix m = args(0).complex_matrix_value ();
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76 MatrixType mattyp;
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77 retval = m.rcond (mattyp);
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78 args(0).matrix_type (mattyp);
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79 }
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80 else
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81 {
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82 Matrix m = args(0).matrix_value ();
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83 MatrixType mattyp;
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84 retval = m.rcond (mattyp);
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85 args(0).matrix_type (mattyp);
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86 }
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87
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88 return retval;
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89 }
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90
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91 /*
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92 %!assert (rcond (eye (2)), 1)
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93 %!assert (rcond (ones (2)), 0)
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94 %!assert (rcond ([1 1; 2 1]), 1/9)
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95 %!assert (rcond (magic (4)), 0, eps)
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96
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97 %!shared x, sx
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98 %! x = [-5.25, -2.25; -2.25, 1] * eps () + ones (2) / 2;
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99 %! sx = [-5.25, -2.25; -2.25, 1] * eps ("single") + ones (2) / 2;
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100 %!assert (rcond (x) < eps ());
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101 %!assert (rcond (sx) < eps ('single'));
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102 %!assert (rcond (x*i) < eps ());
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103 %!assert (rcond (sx*i) < eps ('single'));
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104
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105 */