Mercurial > octave
annotate scripts/sparse/sprandn.m @ 27923:bd51beb6205e
update formatting of copyright notices
* Use <https://octave.org/copyright/> instead of
<https://octave.org/COPYRIGHT.html/>.
* For consistency with other comments in the Octave sources, use
C++-style comments for copyright blocks in C and C++ files.
* Use delimiters above and below copyright blocks that are appropriate
for the language used in the file.
* Eliminate extra spacing inside copyright blocks.
* lex.ll (looks_like_copyright): Also allow newlines and carriage
returns before the word "Copyright".
* scripts/mk-doc.pl (gethelp): Also skip empty comment lines.
* bp-table.cc, type.m: Adjust tests.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 08 Jan 2020 11:59:41 -0500 |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 2004-2020 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/>. |
5164 | 7 ## |
7016 | 8 ## This file is part of Octave. |
9 ## | |
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10 ## Octave is free software: you can redistribute it and/or modify it |
7016 | 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. |
7016 | 14 ## |
15 ## Octave is distributed in the hope that it will be useful, but | |
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. |
7016 | 19 ## |
20 ## You should have received a copy of the GNU General Public License | |
21 ## along with Octave; see the file COPYING. If not, see | |
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22 ## <https://www.gnu.org/licenses/>. |
7016 | 23 ## |
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24 ######################################################################## |
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25 ## |
7016 | 26 ## Original version by Paul Kienzle distributed as free software in the |
27 ## public domain. | |
5164 | 28 |
29 ## -*- texinfo -*- | |
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30 ## @deftypefn {} {} sprandn (@var{m}, @var{n}, @var{d}) |
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31 ## @deftypefnx {} {} sprandn (@var{m}, @var{n}, @var{d}, @var{rc}) |
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32 ## @deftypefnx {} {} sprandn (@var{s}) |
18590 | 33 ## Generate a sparse matrix with normally distributed random values. |
34 ## | |
35 ## The size of the matrix is @var{m}x@var{n} with a density of values @var{d}. | |
36 ## @var{d} must be between 0 and 1. Values will be normally distributed with a | |
37 ## mean of 0 and a variance of 1. | |
5164 | 38 ## |
18590 | 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. |
18590 | 41 ## |
42 ## If called with a scalar fourth argument @var{rc}, a random sparse matrix | |
43 ## with reciprocal condition number @var{rc} is generated. If @var{rc} is | |
44 ## a vector, then it specifies the first singular values of the generated | |
45 ## matrix (@code{length (@var{rc}) <= min (@var{m}, @var{n})}). | |
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46 ## |
18590 | 47 ## @seealso{sprand, sprandsym, randn} |
5164 | 48 ## @end deftypefn |
49 | |
50 ## Author: Paul Kienzle <pkienzle@users.sf.net> | |
51 | |
18590 | 52 function s = sprandn (m, n, d, rc) |
6498 | 53 |
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54 if (nargin == 1 ) |
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55 s = __sprand__ (m, @randn); |
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56 elseif ( nargin == 3) |
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57 s = __sprand__ (m, n, d, "sprandn", @randn); |
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58 elseif (nargin == 4) |
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59 s = __sprand__ (m, n, d, rc, "sprandn", @randn); |
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60 else |
6046 | 61 print_usage (); |
5164 | 62 endif |
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63 |
5164 | 64 endfunction |
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65 |
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66 |
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67 ## Test 3-input calling form |
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68 %!test |
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69 %! s = sprandn (4, 10, 0.1); |
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70 %! assert (size (s), [4, 10]); |
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71 %! assert (nnz (s) / numel (s), 0.1); |
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72 |
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73 ## Test 4-input calling form |
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74 %!test |
18590 | 75 %! d = rand (); |
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76 %! s1 = sprandn (100, 100, d, 0.4); |
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77 %! rc = [5, 4, 3, 2, 1, 0.1]; |
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78 %! s2 = sprandn (100, 100, d, rc); |
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79 %! s3 = sprandn (6, 4, d, rc); |
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80 %! assert (svd (s2)'(1:length (rc)), rc, sqrt (eps)); |
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81 %! assert (1/cond (s1), 0.4, sqrt (eps)); |
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82 %! assert (nnz (s1) / (100*100), d, 0.02); |
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83 %! assert (nnz (s2) / (100*100), d, 0.02); |
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84 %! assert (svd (s3)', [5 4 3 2], sqrt (eps)); |
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85 |
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86 ## Test 1-input calling form |
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87 %!test |
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88 %! s = sprandn (sparse ([1 2 3], [3 2 3], [2 2 2])); |
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89 %! [i, j] = find (s); |
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90 %! assert (sort (i), [1 2 3]'); |
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91 %! assert (sort (j), [2 3 3]'); |
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92 |
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93 ## Test very large, very low density matrix doesn't fail |
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94 %!test |
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95 %! s = sprandn (1e6,1e6,1e-7); |
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96 |
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97 ## Test input validation |
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98 %!error sprandn () |
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99 %!error sprandn (1, 2) |
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100 %!error sprandn (1, 2, 3, 4) |
18590 | 101 %!error <M must be an integer greater than 0> sprandn (ones (3), 3, 0.5) |
102 %!error <M must be an integer greater than 0> sprandn (3.5, 3, 0.5) | |
103 %!error <M must be an integer greater than 0> sprandn (0, 3, 0.5) | |
104 %!error <N must be an integer greater than 0> sprandn (3, ones (3), 0.5) | |
105 %!error <N must be an integer greater than 0> sprandn (3, 3.5, 0.5) | |
106 %!error <N must be an integer greater than 0> sprandn (3, 0, 0.5) | |
107 %!error <D must be between 0 and 1> sprandn (3, 3, -1) | |
108 %!error <D must be between 0 and 1> sprandn (3, 3, 2) | |
109 %!error <RC must be a scalar or vector> sprandn (2, 2, 0.2, ones (3,3)) | |
110 %!error <RC must be between 0 and 1> sprandn (2, 2, 0.2, -1) | |
111 %!error <RC must be between 0 and 1> sprandn (2, 2, 0.2, 2) |