annotate scripts/sparse/sprandn.m @ 18724:35a5e7740a6d

Added implementation for 4th argument of sprand/sprandn (bug #41839). * __sprand_impl__.m: Implementation done here * sprand.m: Added documentation and some tests. * sprandn.m: Added documentation and some tests.
author Eduardo Ramos (edu159) <eduradical951@gmail.com>
date Sat, 22 Mar 2014 13:23:41 +0100
parents d63878346099
children 54a1e95365e1
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1 ## Copyright (C) 2004-2013 Paul Kienzle
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18 ##
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19 ## Original version by Paul Kienzle distributed as free software in the
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20 ## public domain.
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21
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22 ## -*- texinfo -*-
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23 ## @deftypefn {Function File} {} sprandn (@var{m}, @var{n}, @var{d})
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24 ## @deftypefnx {Function File} {} sprandn (@var{m}, @var{n}, @var{d}, @var{rc})
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25 ## @deftypefnx {Function File} {} sprandn (@var{s})
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26 ## Generate a random sparse matrix. The size of the matrix will be
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27 ## @var{m} by @var{n}, with a density of values given by @var{d}.
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28 ## @var{d} should be between 0 and 1. Values will be normally
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29 ## distributed with mean of zero and variance 1.
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30 ##
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31 ## If called with a single matrix argument, a random sparse matrix is
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32 ## generated wherever the matrix @var{S} is non-zero.
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33 ##
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34 ## If called with the rc parameter, then a random sparse matrix with a
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35 ## reciprocal condition number rc is generated if rc is scalar. If rc
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36 ## is a vector, then it contains the first singular values of the matrix
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37 ## generated (length(rc) <= min(m, n)).
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38 ##
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39 ## @seealso{sprand, sprandsym}
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40 ## @end deftypefn
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41
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42 ## Author: Paul Kienzle <pkienzle@users.sf.net>
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43
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44 function S = sprandn (m, n, d, rc)
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45
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46 if (nargin == 1 )
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47 S = __sprand_impl__ (m, @randn);
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48 elseif ( nargin == 3)
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49 S = __sprand_impl__ (m, n, d, "sprandn", @randn);
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50 elseif (nargin == 4)
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51 S = __sprand_impl__ (m, n, d, rc, "sprandn", @randn);
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52 else
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53 print_usage ();
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54 endif
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55
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56 endfunction
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58
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59 %!test
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60 %! s = sprandn (4, 10, 0.1);
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61 %! assert (size (s), [4, 10]);
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62 %! assert (nnz (s) / numel (s), 0.1);
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64 %% Test 1-input calling form
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65 %!test
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66 %! s = sprandn (sparse ([1 2 3], [3 2 3], [2 2 2]));
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67 %! [i, j] = find (s);
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68 %! assert (sort (i), [1 2 3]');
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69 %! assert (sort (j), [2 3 3]');
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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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84 %% Test input validation
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85 %!error sprandn ()
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86 %!error sprandn (1, 2)
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87 %!error sprandn (1, 2, 3, 4)
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88 %!error sprandn (ones (3), 3, 0.5)
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89 %!error sprandn (3.5, 3, 0.5)
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90 %!error sprandn (0, 3, 0.5)
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91 %!error sprandn (3, ones (3), 0.5)
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92 %!error sprandn (3, 3.5, 0.5)
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93 %!error sprandn (3, 0, 0.5)
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94 %!error sprandn (3, 3, -1)
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95 %!error sprandn (3, 3, 2)
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96 %!error sprandn (2, 2, 0.2, -1)
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97 %!error sprandn (2, 2, 0.2, 2)
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98
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99 %% Test very large, very low density matrix doesn't fail
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100 %!test
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101 %! s = sprandn(1e6,1e6,1e-7);
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102