annotate scripts/sparse/sprandn.m @ 33632:fed0dc6fd44c default tip

remove unused variable from libgui/module.mk * libgui/module.mk: remove empty variable OCTAVE_GUI_EDITOR_MOC
author Torsten Lilge <ttl-octave@mailbox.org>
date Mon, 27 May 2024 19:42:05 +0200
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children
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2004-2024 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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25 ##
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26 ## Original version by Paul Kienzle distributed as free software in the
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27 ## public domain.
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28
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29 ## -*- texinfo -*-
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30 ## @deftypefn {} {@var{s} =} sprandn (@var{m}, @var{n}, @var{d})
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31 ## @deftypefnx {} {@var{s} =} sprandn (@var{m}, @var{n}, @var{d}, @var{rc})
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32 ## @deftypefnx {} {@var{s} =} sprandn (@var{s})
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33 ## Generate a sparse matrix with normally distributed random values.
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34 ##
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35 ## The size of the matrix is @var{m}x@var{n} with a density of values @var{d}.
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36 ## @var{d} must be between 0 and 1. Values will be normally distributed with a
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37 ## mean of 0 and a variance of 1.
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38 ##
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39 ## If called with a single matrix argument, a sparse matrix is generated with
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40 ## random values wherever the matrix @var{s} is nonzero.
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41 ##
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42 ## If called with a scalar fourth argument @var{rc}, a random sparse matrix
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43 ## with reciprocal condition number @var{rc} is generated. If @var{rc} is
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44 ## a vector, then it specifies the first singular values of the generated
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45 ## matrix (@code{length (@var{rc}) <= min (@var{m}, @var{n})}).
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46 ##
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47 ## @seealso{sprand, sprandsym, randn}
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48 ## @end deftypefn
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49
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50 function s = sprandn (m, n, d, rc)
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51
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52 if (nargin == 1)
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53 s = __sprand__ (m, @randn);
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54 elseif (nargin == 3)
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55 s = __sprand__ (m, n, d, "sprandn", @randn);
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56 elseif (nargin == 4)
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57 s = __sprand__ (m, n, d, rc, "sprandn", @randn);
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58 else
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59 print_usage ();
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60 endif
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61
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62 endfunction
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63
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64
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65 ## Test 3-input calling form
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66 %!test
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67 %! s = sprandn (4, 10, 0.1);
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68 %! assert (size (s), [4, 10]);
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69 %! assert (nnz (s) / numel (s), 0.1);
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70
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71 ## Test 4-input calling form
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72 %!test
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73 %! d = rand ();
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74 %! s1 = sprandn (100, 100, d, 0.4);
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75 %! rc = [5, 4, 3, 2, 1, 0.1];
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76 %! s2 = sprandn (100, 100, d, rc);
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77 %! s3 = sprandn (6, 4, d, rc);
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78 %! assert (svd (s2)'(1:length (rc)), rc, sqrt (eps));
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79 %! assert (1/cond (s1), 0.4, sqrt (eps));
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80 %! assert (nnz (s1) / (100*100), d, 0.02);
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81 %! assert (nnz (s2) / (100*100), d, 0.02);
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82 %! assert (svd (s3)', [5 4 3 2], sqrt (eps));
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83
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84 ## Test 1-input calling form
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85 %!test
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86 %! s = sprandn (sparse ([1 2 3], [3 2 3], [2 2 2]));
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87 %! [i, j] = find (s);
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88 %! assert (sort (i), [1 2 3]');
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89 %! assert (sort (j), [2 3 3]');
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90
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91 ## Test very large, very low density matrix doesn't fail
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92 %!test
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93 %! s = sprandn (1e6,1e6,1e-7);
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94
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95 ## Test empty array creation
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96 %!assert (size (sprandn (0, 0, 0.5)), [0, 0])
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97 %!assert (size (sprandn (0, 3, 0.5)), [0, 3])
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98 %!assert (size (sprandn (3, 0, 0.5)), [3, 0])
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99
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100 ## Test input validation
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101 %!error <Invalid call> sprandn ()
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102 %!error <Invalid call> sprandn (1, 2)
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103 %!error <M must be a non-negative integer> sprand (-1, -1, 0.5)
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104 %!error <M must be a non-negative integer> sprandn (ones (3), 3, 0.5)
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105 %!error <M must be a non-negative integer> sprandn (3.5, 3, 0.5)
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106 %!error <M must be a non-negative integer> sprandn (-1, 3, 0.5)
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107 %!error <N must be a non-negative integer> sprandn (3, ones (3), 0.5)
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108 %!error <N must be a non-negative integer> sprandn (3, 3.5, 0.5)
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109 %!error <N must be a non-negative integer> sprandn (3, -1, 0.5)
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110 %!error <D must be between 0 and 1> sprandn (3, 3, -1)
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111 %!error <D must be between 0 and 1> sprandn (3, 3, 2)
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112 %!error <RC must be a scalar or vector> sprandn (2, 2, 0.2, ones (3,3))
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113 %!error <RC must be between 0 and 1> sprandn (2, 2, 0.2, -1)
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114 %!error <RC must be between 0 and 1> sprandn (2, 2, 0.2, 2)