annotate scripts/sparse/sprand.m @ 27919:1891570abac8

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2020.
author John W. Eaton <jwe@octave.org>
date Mon, 06 Jan 2020 22:29:51 -0500
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27919
1891570abac8 update Octave Project Developers copyright for the new year
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1 ## Copyright (C) 2004-2020 The Octave Project Developers
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2 ##
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3 ## See the file COPYRIGHT.md in the top-level directory of this distribution
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4 ## or <https://octave.org/COPYRIGHT.html/>.
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5 ##
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6 ##
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7 ## This file is part of Octave.
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8 ##
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9 ## Octave is free software: you can redistribute it and/or modify it
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10 ## under the terms of the GNU General Public License as published by
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11 ## the Free Software Foundation, either version 3 of the License, or
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12 ## (at your option) any later version.
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13 ##
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14 ## Octave is distributed in the hope that it will be useful, but
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15 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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16 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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17 ## GNU General Public License for more details.
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18 ##
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19 ## You should have received a copy of the GNU General Public License
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20 ## along with Octave; see the file COPYING. If not, see
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21 ## <https://www.gnu.org/licenses/>.
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22 ##
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23 ## Original version by Paul Kienzle distributed as free software in the
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24 ## public domain.
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {} sprand (@var{m}, @var{n}, @var{d})
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28 ## @deftypefnx {} {} sprand (@var{m}, @var{n}, @var{d}, @var{rc})
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29 ## @deftypefnx {} {} sprand (@var{s})
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30 ## Generate a sparse matrix with uniformly distributed random values.
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31 ##
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32 ## The size of the matrix is @var{m}x@var{n} with a density of values @var{d}.
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33 ## @var{d} must be between 0 and 1. Values will be uniformly distributed on
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34 ## the interval (0, 1).
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35 ##
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36 ## If called with a single matrix argument, a sparse matrix is generated with
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37 ## random values wherever the matrix @var{s} is nonzero.
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38 ##
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39 ## If called with a scalar fourth argument @var{rc}, a random sparse matrix
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40 ## with reciprocal condition number @var{rc} is generated. If @var{rc} is
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41 ## a vector, then it specifies the first singular values of the generated
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42 ## matrix (@code{length (@var{rc}) <= min (@var{m}, @var{n})}).
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43 ##
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44 ## @seealso{sprandn, sprandsym, rand}
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45 ## @end deftypefn
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46
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47 ## Author: Paul Kienzle <pkienzle@users.sf.net>
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48 ##
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49 ## Changelog:
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50 ##
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51 ## Piotr Krzyzanowski <przykry2004@users.sf.net>
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52 ## 2004-09-27 use Paul's hint to allow larger random matrices
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53 ## at the price of sometimes lower density than desired
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54 ## David Bateman
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55 ## 2004-10-20 Texinfo help and copyright message
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56
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57 function s = sprand (m, n, d, rc)
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58
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59 if (nargin == 1 )
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60 s = __sprand__ (m, @rand);
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61 elseif ( nargin == 3)
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62 s = __sprand__ (m, n, d, "sprand", @rand);
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63 elseif (nargin == 4)
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64 s = __sprand__ (m, n, d, rc, "sprand", @rand);
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65 else
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66 print_usage ();
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67 endif
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68
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69 endfunction
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70
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71
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72 ## Test 3-input calling form
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73 %!test
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74 %! s = sprand (4, 10, 0.1);
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75 %! assert (size (s), [4, 10]);
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76 %! assert (nnz (s) / numel (s), 0.1);
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77
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78 ## Test 4-input calling form
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79 %!test
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80 %! d = rand ();
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81 %! s1 = sprand (100, 100, d, 0.4);
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82 %! rc = [5, 4, 3, 2, 1, 0.1];
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83 %! s2 = sprand (100, 100, d, rc);
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84 %! s3 = sprand (6, 4, d, rc);
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85 %! assert (svd (s2)'(1:length (rc)), rc, sqrt (eps));
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86 %! assert (1/cond (s1), 0.4, sqrt (eps));
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87 %! assert (nnz (s1) / (100*100), d, 0.02);
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88 %! assert (nnz (s2) / (100*100), d, 0.02);
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89 %! assert (svd (s3)', [5 4 3 2], sqrt (eps));
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90
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91 ## Test 1-input calling form
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92 %!test
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93 %! s = sprand (sparse ([1 2 3], [3 2 3], [2 2 2]));
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94 %! [i, j, v] = find (s);
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95 %! assert (sort (i), [1 2 3]');
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96 %! assert (sort (j), [2 3 3]');
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97 %! assert (all (v > 0 & v < 1));
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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 = sprand (1e6, 1e6, 1e-7);
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102
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103 ## Test input validation
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104 %!error sprand ()
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105 %!error sprand (1, 2)
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106 %!error sprand (1, 2, 3, 4)
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107 %!error <M must be an integer greater than 0> sprand (ones (3), 3, 0.5)
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108 %!error <M must be an integer greater than 0> sprand (3.5, 3, 0.5)
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109 %!error <M must be an integer greater than 0> sprand (0, 3, 0.5)
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110 %!error <N must be an integer greater than 0> sprand (3, ones (3), 0.5)
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111 %!error <N must be an integer greater than 0> sprand (3, 3.5, 0.5)
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112 %!error <N must be an integer greater than 0> sprand (3, 0, 0.5)
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113 %!error <D must be between 0 and 1> sprand (3, 3, -1)
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114 %!error <D must be between 0 and 1> sprand (3, 3, 2)
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115 %!error <RC must be a scalar or vector> sprand (2, 2, 0.2, ones (3,3))
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116 %!error <RC must be between 0 and 1> sprand (2, 2, 0.2, -1)
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117 %!error <RC must be between 0 and 1> sprand (2, 2, 0.2, 2)