Mercurial > octave
annotate test/mk-sparse-tst.sh @ 25218:164399071f4d stable
* mk-sparse-tst.sh: Don't use xtest in generated test.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 11 Apr 2018 15:13:10 -0400 |
parents | 6652d3823428 |
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1 #! /bin/sh |
5590 | 2 |
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3 # Copyright (C) 2006-2018 David Bateman |
7019 | 4 # |
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 |
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9 # the Free Software Foundation, either version 3 of the License, or |
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10 # (at your 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 |
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13 # WITHOUT ANY WARRANTY; without even the implied warranty of |
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14 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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15 # GNU General Public License for more details. |
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16 # |
7019 | 17 # You should have received a copy of the GNU General Public License |
18 # along with Octave; see the file COPYING. If not, see | |
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19 # <https://www.gnu.org/licenses/>. |
7019 | 20 |
5590 | 21 # Some tests are commented out because they are known to be broken! |
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22 # Search for "# fails" |
5590 | 23 |
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24 # ./build-sparse-tests.sh preset |
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25 # creates sparse.tst with preset tests. |
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26 # Use "test sparse.tst" from octave to run the tests. |
5590 | 27 # |
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28 # ./build-sparse-tests.sh random |
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29 # Creates sprandom.tst with randomly generated matrices. |
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30 # Use "test sprandom.tst" from octave to run the tests. |
5590 | 31 |
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32 # build-sparse-tests.sh generates tests for real and complex sparse matrices. |
5590 | 33 # Also, we want to run both fixed tests with known outputs (quick tests) |
34 # and longer tests with unknown outputs (thorough tests). This requires | |
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35 # two sets of tests -- one which uses preset matrices and another which |
5590 | 36 # uses randomly generated matrices. |
37 # | |
38 # The tests are mostly identical for each case but the code is different, | |
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39 # so it is important that the tests be run on all cases. Because our test |
5590 | 40 # harness doesn't have support for looping or macros (it is only needed |
41 # for new data types), but sh does, we use sh to generate inline versions of | |
42 # the tests for each case. | |
43 # | |
44 # Our 'macros' use shared variables as parameters. This allows us to | |
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45 # for example define A complex and include all the unary ops tests, |
5590 | 46 # then set A=real(A) and include all the unary ops tests. Thus the |
47 # same tests work for real and complex. For binary tests it is even | |
48 # more complicated because we want full X sparse, sparse X full and | |
49 # sparse X sparse tested. | |
50 # | |
51 # We use the following macros: | |
52 # | |
53 # gen_section | |
54 # place a separator in the test file | |
55 # gen_function | |
56 # define the function definion | |
57 # helper gen_specific | |
58 # specific tests such as error handling and null input | |
59 # helper gen_eat_zeros | |
60 # make sure sparse-scalar ops which generate 0 work | |
61 # gen_specific_tests | |
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62 # specific and eat zeros tests |
5590 | 63 # helper gen_ordering_tests |
64 # ordered comparison operators for real valued tests | |
65 # helper gen_sparsesparse_ordering_tests | |
66 # ordered comparison operators for real valued sparse-sparse tests | |
67 # helper gen_elementop_tests | |
68 # element-wise matrix binary operators, including scalar-matrix ops. | |
69 # horizontal/vertical concatenation are here as well. | |
70 # helper gen_sparsesparse_elementop_tests | |
71 # element-wise matrix binary operators, for sparse-sparse ops. | |
72 # horizontal/vertical concatenation are here as well. | |
73 # helper gen_divop_tests | |
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74 # left and right matrix division operators of rectangular matrices. |
5590 | 75 # Needs QR solvers |
76 # helper gen_square_divop_tests | |
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77 # left and right matrix division operators of square matrices. |
5590 | 78 # helper gen_matrixop_tests |
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79 # rectangular matrix binary operators: * |
5590 | 80 # helper gen_matrixdiag_tests |
81 # Tests extract of diag and creation of diagonal matrices using | |
82 # diag and spdiags functions | |
83 # helper gen_matrixreshape_tests | |
84 # Test the reshape function on sparse matrices | |
85 # helper print_mapper_test | |
86 # sub-helper function of gen_mapper_tests to print individual tests | |
87 # helper gen_mapper_tests | |
88 # Tests all of the one argument mapper functions. There are a few | |
89 # specific tests that abs, real and imag return real values. | |
90 # helper gen_unaryop_tests | |
91 # functions and operators which transform a single matrix | |
92 # helper gen_save_tests | |
93 # Tests the load/save functionality for ascii/binary and hdf5 formats | |
94 # gen_scalar_tests | |
95 # element ops for real and complex scalar and sparse | |
96 # gen_rectangular_tests | |
97 # unary, element, and matrix tests for a and full/sparse b | |
98 # gen_square_tests | |
99 # operations which require square matrices: lu, inv, \ | |
100 # A square non-singular matrix is defined from the rectangular | |
101 # inputs A and B. | |
102 # gen_assembly_tests | |
103 # test for sparse constructors with 'sum' vs. 'unique' | |
104 # gen_select_tests | |
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105 # indexing and assignment tests |
5590 | 106 # gen_solver_tests |
107 # Tests the solve function with triangular/banded, etc matrices | |
108 | |
109 case $1 in | |
110 random) preset=false ;; | |
111 preset) preset=true ;; | |
112 '') preset=true ;; | |
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113 *) echo "build-sparse-tests.sh random|preset" && exit 1 ;; |
5590 | 114 esac |
115 | |
116 # create initial file | |
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117 cat <<EOF |
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118 ## !!! DO NOT EDIT !!! |
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119 ## THIS IS AN AUTOMATICALLY GENERATED FILE |
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120 ## modify build-sparse-tests.sh to generate the tests you need. |
5590 | 121 EOF |
122 | |
123 | |
124 # define all functions | |
125 | |
126 | |
127 # ======================================================= | |
128 # Section separator | |
129 | |
130 gen_section() { | |
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131 cat <<EOF |
5590 | 132 |
133 # ============================================================== | |
134 | |
135 EOF | |
136 } | |
137 | |
138 | |
139 # ======================================================= | |
140 # Specific preset tests | |
141 | |
142 # ======================================================= | |
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143 # If a sparse operation yields zeros, then those elements |
5590 | 144 # of the returned sparse matrix should be eaten. |
145 gen_eat_zeros() { | |
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146 cat <<EOF |
5590 | 147 %% Make sure newly introduced zeros get eaten |
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148 %!assert (nnz (sparse ([bf,bf,1]).^realmax), 1) |
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149 %!assert (nnz (sparse ([1,bf,bf]).^realmax), 1) |
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150 %!assert (nnz (sparse ([bf,bf,bf]).^realmax), 0) |
5590 | 151 |
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152 %!assert (nnz (sparse ([bf;bf;1]).^realmax), 1) |
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153 %!assert (nnz (sparse ([1;bf;bf]).^realmax), 1) |
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154 %!assert (nnz (sparse ([0.5;bf;bf]).^realmax), 0) |
5590 | 155 |
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156 %!assert (nnz (sparse ([bf,bf,1])*realmin), 1) |
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157 %!assert (nnz (sparse ([1,bf,bf])*realmin), 1) |
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158 %!assert (nnz (sparse ([bf,bf,bf])*realmin), 0) |
5590 | 159 |
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160 %!assert (nnz (sparse ([bf;bf;1])*realmin), 1) |
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161 %!assert (nnz (sparse ([1;bf;bf])*realmin), 1) |
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162 %!assert (nnz (sparse ([bf;bf;bf])*realmin), 0) |
5590 | 163 |
164 EOF | |
165 } | |
166 | |
167 gen_specific() { | |
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168 cat <<EOF |
5590 | 169 |
170 %!test # segfault test from edd@debian.org | |
171 %! n = 510; | |
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172 %! sparse (kron ((1:n)', ones (n,1)), kron (ones (n,1), (1:n)'), ones (n)); |
5590 | 173 |
174 %% segfault tests from Fabian@isas-berlin.de | |
175 %% Note that the last four do not fail, but rather give a warning | |
176 %% of a singular matrix, which is consistent with the full matrix | |
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177 %% behavior. They are therefore disabled. |
7243 | 178 %!testif HAVE_UMFPACK |
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179 %! assert (inv (sparse ([1,1;1,1+i])), sparse ([1-1i,1i;1i,-1i]), 10*eps); |
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180 %#!error inv ( sparse ([1,1;1,1] ) ); |
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181 %#!error inv ( sparse ([0,0;0,1] ) ); |
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182 %#!error inv ( sparse ([0,0;0,1+i]) ); |
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183 %#!error inv ( sparse ([0,0;0,0] ) ); |
5590 | 184 |
185 %% error handling in constructor | |
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186 %!error sparse (1,[2,3],[1,2,3]) |
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187 %!error sparse ([1,1],[1,1],[1,2],3,3,"invalid") |
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188 %!error sparse ([1,3],[1,-4],[3,5],2,2) |
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189 %!error sparse ([1,3],[1,-4],[3,5i],2,2) |
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190 %!error sparse (-1,-1,1) |
5590 | 191 EOF |
192 } | |
193 | |
194 | |
195 gen_specific_tests() { | |
196 gen_section | |
197 gen_specific | |
198 gen_section | |
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199 echo '%!shared bf' |
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200 echo '%!test bf=realmin;' |
5590 | 201 gen_eat_zeros |
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202 echo '%!test bf=realmin+realmin*1i;' |
5590 | 203 gen_eat_zeros |
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204 cat <<EOF |
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205 %!assert (nnz (sparse ([-1,realmin,realmin]).^1.5), 1) |
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206 %!assert (nnz (sparse ([-1,realmin,realmin,1]).^1.5), 2) |
5590 | 207 |
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208 ## Make sure scalar v==0 doesn't confuse matters |
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209 %!assert (nnz (sparse (1,1,0)), 0) |
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210 %!assert (nnz (sparse (eye (3))*0), 0) |
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211 %!assert (nnz (sparse (eye (3))-sparse (eye (3))), 0) |
5590 | 212 |
213 %!test | |
5781 | 214 %! wdbz = warning ("query", "Octave:divide-by-zero"); |
215 %! warning ("off", "Octave:divide-by-zero"); | |
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216 %! assert (full (sparse (eye (3))/0), full (eye (3)/0)); |
5781 | 217 %! warning (wdbz.state, "Octave:divide-by-zero"); |
5590 | 218 |
219 EOF | |
220 } | |
221 | |
222 | |
223 # ======================================================= | |
224 # Main function definition | |
225 | |
226 gen_function() { | |
227 if $preset; then | |
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228 cat <<EOF |
5590 | 229 ## |
230 ## test_sparse | |
231 ## | |
232 ## run preset sparse tests. All should pass. | |
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233 function [passes, tests] = test_sparse |
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234 disp ("writing test output to sptest.log"); |
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235 test ("sparse.tst", "normal", "sptest.log"); |
5590 | 236 endfunction |
237 | |
238 EOF | |
239 else | |
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240 cat <<EOF |
5590 | 241 ## |
242 ## test_sprandom | |
243 ## | |
244 ## total_passes=0; total_tests=0; | |
245 ## for i=1:10 | |
246 ## [passes,tests] = sprandomtest; | |
247 ## total_passes += passes; | |
248 ## total_tests += tests; | |
249 ## end | |
250 ## The test log is appended to sprandomtest.log | |
251 function [passes,total] = test_sprandom | |
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252 warning ("untested --- fix the source in build-sparse-tests.sh"); |
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253 disp ("appending test output to sprandomtest.log"); |
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254 fid = fopen ("sprandomtest.log", "at"); |
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255 test ("sprandom.tst", "normal", fid); |
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256 ##[passes, total] = test ("sprandomtest", "normal", fid); |
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257 fclose (fid); |
5590 | 258 endfunction |
259 | |
260 EOF | |
261 fi | |
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262 |
5590 | 263 } |
264 | |
265 | |
266 # ======================================================= | |
267 # matrix ops | |
268 | |
269 # test ordered comparisons: uses as,af,bs,bf | |
270 gen_ordering_tests() { | |
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271 cat <<EOF |
5590 | 272 %% real values can be ordered (uses as,af) |
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273 %!assert (as<=bf, sparse (af<=bf)) |
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274 %!assert (bf<=as, sparse (bf<=af)) |
5590 | 275 |
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276 %!assert (as>=bf, sparse (af>=bf)) |
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277 %!assert (bf>=as, sparse (bf>=af)) |
5590 | 278 |
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279 %!assert (as<bf, sparse (af<bf)) |
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280 %!assert (bf<as, sparse (bf<af)) |
5590 | 281 |
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282 %!assert (as>bf, sparse (af>bf)) |
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283 %!assert (bf>as, sparse (bf>af)) |
5590 | 284 |
285 EOF | |
286 } | |
287 | |
288 gen_sparsesparse_ordering_tests() { | |
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289 cat <<EOF |
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290 %!assert (as<=bs, sparse (af<=bf)) |
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291 %!assert (as>=bs, sparse (af>=bf)) |
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292 %!assert (as<bs, sparse (af<bf)) |
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293 %!assert (as>bs, sparse (af>bf)) |
5590 | 294 EOF |
295 } | |
296 | |
297 # test element-wise binary operations: uses as,af,bs,bf,scalar | |
298 gen_elementop_tests() { | |
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299 cat <<EOF |
5590 | 300 %% Elementwise binary tests (uses as,af,bs,bf,scalar) |
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301 %!assert (as==bs, sparse (af==bf)) |
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302 %!assert (bf==as, sparse (bf==af)) |
5590 | 303 |
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304 %!assert (as!=bf, sparse (af!=bf)) |
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305 %!assert (bf!=as, sparse (bf!=af)) |
5590 | 306 |
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307 %!assert (as+bf, af+bf) |
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308 %!assert (bf+as, bf+af) |
5590 | 309 |
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310 %!assert (as-bf, af-bf) |
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311 %!assert (bf-as, bf-af) |
5590 | 312 |
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313 %!assert (as.*bf, sparse (af.*bf)) |
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314 %!assert (bf.*as, sparse (bf.*af)) |
5590 | 315 |
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316 %!assert (as./bf, sparse (af./bf), 100*eps) |
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317 %!assert (bf.\as, sparse (bf.\af), 100*eps) |
5590 | 318 |
319 %!test | |
320 %! sv = as.^bf; | |
321 %! fv = af.^bf; | |
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322 %! idx = find (af!=0); |
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323 %! assert (sv(:)(idx), sparse (fv(:)(idx)), 100*eps); |
5590 | 324 |
325 EOF | |
326 } | |
327 | |
328 gen_sparsesparse_elementop_tests() { | |
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329 cat <<EOF |
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330 %!assert (as==bs, sparse (af==bf)) |
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331 %!assert (as!=bs, sparse (af!=bf)) |
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332 %!assert (as+bs, sparse (af+bf)) |
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333 %!assert (as-bs, sparse (af-bf)) |
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334 %!assert (as.*bs, sparse (af.*bf)) |
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335 %!assert (as./bs, sparse (af./bf), 100*eps) |
5590 | 336 %!test |
337 %! sv = as.^bs; | |
338 %! fv = af.^bf; | |
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339 %! idx = find (af!=0); |
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340 %! assert(sv(:)(idx), sparse (fv(:)(idx)), 100*eps); |
5590 | 341 |
342 EOF | |
343 } | |
344 | |
345 # test matrix-matrix left and right division: uses as,af,bs,bf | |
346 gen_divop_tests() { | |
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347 cat <<EOF |
5590 | 348 %% Matrix-matrix operators (uses af,as,bs,bf) |
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349 %!assert (as/bf, af/bf, 100*eps) |
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350 %!assert (af/bs, af/bf, 100*eps) |
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351 %!assert (as/bs, sparse (af/bf), 100*eps) |
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352 %!assert (bs\af', bf\af', 100*eps) |
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353 %!assert (bf\as', bf\af', 100*eps) |
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354 %!assert (bs\as', sparse (bf\af'), 100*eps) |
5590 | 355 |
356 EOF | |
357 } | |
358 | |
359 # test matrix-matrix left and right division: uses as,af,bs,bf | |
360 gen_square_divop_tests() { | |
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361 cat <<EOF |
5590 | 362 %% Matrix-matrix operators (uses af,as,bs,bf) |
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363 %!assert (as/bf, af/bf, 100*eps) |
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364 %!assert (af/bs, af/bf, 100*eps) |
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365 %!assert (as/bs, sparse (af/bf), 100*eps) |
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366 %!assert (bs\af', bf\af', 100*eps) |
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367 %!assert (bf\as', bf\af', 100*eps) |
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368 %!assert (bs\as', sparse (bf\af'), 100*eps) |
5590 | 369 |
370 EOF | |
371 } | |
372 | |
373 # test matrix-matrix operations: uses as,af,bs,bf | |
374 gen_matrixop_tests() { | |
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375 cat <<EOF |
5590 | 376 %% Matrix-matrix operators (uses af,as,bs,bf) |
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377 %!assert (as*bf', af*bf') |
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378 %!assert (af*bs', af*bf') |
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379 %!assert (as*bs', sparse (af*bf')) |
5590 | 380 |
381 EOF | |
382 } | |
383 | |
384 # test diagonal operations | |
385 gen_matrixdiag_tests() { | |
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386 cat <<EOF |
5590 | 387 %% Matrix diagonal tests (uses af,as,bf,bs) |
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388 %!assert (diag (as), sparse (diag (af))) |
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389 %!assert (diag (bs), sparse (diag (bf))) |
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390 %!assert (diag (as,1), sparse (diag (af,1))) |
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391 %!assert (diag (bs,1), sparse (diag (bf,1))) |
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392 %!assert (diag (as,-1), sparse (diag (af,-1))) |
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393 %!assert (diag (bs,-1), sparse (diag (bf,-1))) |
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394 %!assert (diag (as(:)), sparse (diag (af(:)))) |
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395 %!assert (diag (as(:),1), sparse (diag (af(:),1))) |
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396 %!assert (diag (as(:),-1), sparse (diag (af(:),-1))) |
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397 %!assert (diag (as(:)'), sparse (diag (af(:)'))) |
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398 %!assert (diag (as(:)',1), sparse (diag (af(:)',1))) |
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399 %!assert (diag (as(:)',-1), sparse (diag (af(:)',-1))) |
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400 %!assert (spdiags (as,[0,1]), [diag(af,0), diag(af,1)]) |
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401 %!test |
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402 %! [tb,tc] = spdiags (as); |
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403 %! assert (spdiags (tb,tc,sparse (zeros (size (as)))), as); |
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404 %! assert (spdiags (tb,tc,size (as,1),size (as,2)), as); |
5590 | 405 |
406 EOF | |
407 } | |
408 | |
409 # test matrix reshape operations | |
410 gen_matrixreshape_tests() { | |
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411 cat <<EOF |
5590 | 412 %% Matrix diagonal tests (uses af,as,bf,bs) |
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413 %!assert (reshape (as,1,prod(size(as))), sparse (reshape (af,1,prod(size(af))))) |
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414 %!assert (reshape (as,prod(size(as)),1), sparse (reshape (af,prod(size(af)),1))) |
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415 %!assert (reshape (as,fliplr(size(as))), sparse (reshape (af,fliplr(size(af))))) |
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416 %!assert (reshape (bs,1,prod(size(as))), sparse (reshape (bf,1,prod(size(af))))) |
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417 %!assert (reshape (bs,prod(size(as)),1), sparse (reshape (bf,prod(size(af)),1))) |
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418 %!assert (reshape (bs,fliplr(size(as))), sparse (reshape (bf,fliplr(size(af))))) |
5590 | 419 |
420 EOF | |
421 } | |
422 | |
423 # test mapper matrix operations: uses as,af | |
424 print_mapper_test() { | |
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425 echo "%!assert ($1(as), sparse ($1(af)))" |
5590 | 426 } |
427 | |
428 print_real_mapper_test() { | |
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429 cat <<EOF |
5590 | 430 %!test |
5781 | 431 %! wn2s = warning ("query", "Octave:num-to-str"); |
432 %! warning ("off", "Octave:num-to-str"); | |
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433 %! if (isreal (af)) |
5953 | 434 %! if ($2) |
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435 %! assert ($1(as), sparse ($1(af))); |
5953 | 436 %! else |
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437 %! assert ($1(as), $1(af)); |
5953 | 438 %! endif |
5590 | 439 %! endif |
5781 | 440 %! warning (wn2s.state, "Octave:num-to-str"); |
5590 | 441 |
442 EOF | |
443 } | |
444 | |
445 gen_mapper_tests() { | |
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446 echo "%% Unary matrix tests (uses af,as)" |
5590 | 447 print_mapper_test abs |
448 print_mapper_test acos | |
449 print_mapper_test acosh | |
450 print_mapper_test angle | |
451 print_mapper_test arg | |
452 print_mapper_test asin | |
453 print_mapper_test asinh | |
454 print_mapper_test atan | |
455 print_mapper_test atanh | |
456 print_mapper_test ceil | |
457 print_mapper_test conj | |
458 print_mapper_test cos | |
459 print_mapper_test cosh | |
460 print_mapper_test exp | |
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461 print_mapper_test isfinite |
5590 | 462 print_mapper_test fix |
463 print_mapper_test floor | |
464 print_mapper_test imag | |
465 print_mapper_test isinf | |
466 print_mapper_test isna | |
467 print_mapper_test isnan | |
468 print_mapper_test log | |
469 #print_mapper_test log10 ## fails with different NaN, not a problem | |
470 print_mapper_test real | |
471 print_mapper_test round | |
472 print_mapper_test sign | |
473 print_mapper_test sin | |
474 print_mapper_test sinh | |
475 print_mapper_test sqrt | |
476 print_mapper_test tan | |
477 print_mapper_test tanh | |
478 | |
479 # Specific tests for certain mapper functions | |
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480 cat <<EOF |
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481 %!assert (issparse (abs (as)) && isreal (abs (as))) |
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482 %!assert (issparse (real (as)) && isreal (real (as))) |
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483 %!assert (issparse (imag (as)) && isreal (imag (as))) |
5590 | 484 |
485 EOF | |
486 } | |
487 | |
488 gen_real_mapper_tests() { | |
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489 echo "%% Unary matrix tests (uses af,as)" |
5953 | 490 print_real_mapper_test erf 1 |
491 print_real_mapper_test erfc 1 | |
492 #print_real_mapper_test gamma 1 | |
493 print_real_mapper_test isalnum 0 | |
494 print_real_mapper_test isalpha 0 | |
495 print_real_mapper_test isascii 0 | |
496 print_real_mapper_test iscntrl 0 | |
497 print_real_mapper_test isdigit 0 | |
498 print_real_mapper_test isgraph 0 | |
499 print_real_mapper_test islower 0 | |
500 print_real_mapper_test isprint 0 | |
501 print_real_mapper_test ispunct 0 | |
502 print_real_mapper_test isspace 0 | |
503 print_real_mapper_test isupper 0 | |
504 print_real_mapper_test isxdigit 0 | |
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505 #print_real_mapper_test gammaln 1 |
5590 | 506 |
507 # Specific tests for certain mapper functions | |
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508 cat <<EOF |
5590 | 509 |
510 %!test | |
5781 | 511 %! wn2s = warning ("query", "Octave:num-to-str"); |
512 %! warning ("off", "Octave:num-to-str"); | |
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513 %! if (isreal (af)) |
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514 %! assert (tolower (as), as); |
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515 %! assert (toupper (as), as); |
5590 | 516 %! endif |
5781 | 517 %! warning (wn2s.state, "Octave:num-to-str"); |
5590 | 518 |
519 EOF | |
520 } | |
521 | |
522 # test matrix operations: uses as,af | |
523 gen_unaryop_tests() { | |
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524 cat <<EOF |
5590 | 525 %% Unary matrix tests (uses af,as) |
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526 %!assert (issparse (as)) |
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527 %!assert (!issparse (af)) |
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528 %!assert (! (issparse (af) && iscomplex (af))) |
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529 %!assert (! (issparse (af) && isreal (af))) |
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530 %!assert (sum (as), sparse (sum (af))) |
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531 %!assert (sum (as,1), sparse (sum (af,1))) |
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532 %!assert (sum (as,2), sparse (sum (af,2))) |
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533 %!assert (cumsum (as), sparse (cumsum (af))) |
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534 %!assert (cumsum (as,1), sparse (cumsum (af,1))) |
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535 %!assert (cumsum (as,2), sparse (cumsum (af,2))) |
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536 %!assert (sumsq (as), sparse (sumsq (af))) |
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537 %!assert (sumsq (as,1), sparse (sumsq (af,1))) |
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538 %!assert (sumsq (as,2), sparse (sumsq (af,2))) |
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539 %!assert (prod (as), sparse (prod (af))) |
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540 %!assert (prod (as,1), sparse (prod (af,1))) |
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541 %!assert (prod (as,2), sparse (prod (af,2))) |
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542 %!assert (cumprod (as), sparse (cumprod (af))) |
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543 %!assert (cumprod (as,1), sparse (cumprod (af,1))) |
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544 %!assert (cumprod (as,2), sparse (cumprod (af,2))) |
5590 | 545 |
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546 %!assert (min (as), sparse (min (af))) |
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547 %!assert (full (min (as(:))), min (af(:))) |
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548 %!assert (min (as,[],1), sparse (min (af,[],1))) |
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549 %!assert (min (as,[],2), sparse (min (af,[],2))) |
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550 %!assert (min (as,[],1), sparse (min (af,[],1))) |
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551 %!assert (min (as,0), sparse (min (af,0))) |
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552 %!assert (min (as,bs), sparse (min (af,bf))) |
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553 %!assert (max (as), sparse (max (af))) |
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554 %!assert (full (max (as(:))), max (af(:))) |
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555 %!assert (max (as,[],1), sparse (max (af,[],1))) |
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556 %!assert (max (as,[],2), sparse (max (af,[],2))) |
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557 %!assert (max (as,[],1), sparse (max (af,[],1))) |
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558 %!assert (max (as,0), sparse (max (af,0))) |
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559 %!assert (max (as,bs), sparse (max (af,bf))) |
5590 | 560 |
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561 %!assert (as==as) |
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562 %!assert (as==af) |
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563 %!assert (af==as) |
5590 | 564 %!test |
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565 %! [ii,jj,vv,nr,nc] = find (as); |
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566 %! assert (af, full (sparse (ii,jj,vv,nr,nc))); |
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567 %!assert (nnz (as), sum (af(:)!=0)) |
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568 %!assert (nnz (as), nnz (af)) |
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569 %!assert (issparse (as.')) |
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570 %!assert (issparse (as')) |
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571 %!assert (issparse (-as)) |
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572 %!assert (!as, sparse (!af)) |
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573 %!assert (as.', sparse (af.')) |
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574 %!assert (as', sparse (af')) |
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575 %!assert (-as, sparse (-af)) |
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576 %!assert (!as, sparse (!af)) |
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577 %!error [i,j] = size (af);as(i-1,j+1); |
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578 %!error [i,j] = size (af);as(i+1,j-1); |
5590 | 579 %!test |
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580 %! [Is,Js,Vs] = find (as); |
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581 %! [If,Jf,Vf] = find (af); |
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582 %! assert (Is, If); |
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583 %! assert (Js, Jf); |
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584 %! assert (Vs, Vf); |
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585 %!error as(0,1) |
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586 %!error as(1,0) |
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587 %!assert (find (as), find (af)) |
5590 | 588 %!test |
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589 %! [i,j,v] = find (as); |
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590 %! [m,n] = size (as); |
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591 %! x = sparse (i,j,v,m,n); |
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592 %! assert (x, as); |
5590 | 593 %!test |
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594 %! [i,j,v,m,n] = find (as); |
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595 %! x = sparse (i,j,v,m,n); |
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596 %! assert (x, as); |
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597 %!assert (issparse (horzcat (as,as))) |
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598 %!assert (issparse (vertcat (as,as))) |
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599 %!assert (issparse (cat (1,as,as))) |
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600 %!assert (issparse (cat (2,as,as))) |
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601 %!assert (issparse ([as,as])) |
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602 %!assert (issparse ([as;as])) |
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603 %!assert (horzcat (as,as), sparse ([af,af])) |
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604 %!assert (vertcat (as,as), sparse ([af;af])) |
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605 %!assert (horzcat (as,as,as), sparse ([af,af,af])) |
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606 %!assert (vertcat (as,as,as), sparse ([af;af;af])) |
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607 %!assert ([as,as], sparse ([af,af])) |
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608 %!assert ([as;as], sparse ([af;af])) |
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609 %!assert ([as,as,as], sparse ([af,af,af])) |
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610 %!assert ([as;as;as], sparse ([af;af;af])) |
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611 %!assert (cat (2,as,as), sparse ([af,af])) |
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612 %!assert (cat (1,as,as), sparse ([af;af])) |
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613 %!assert (cat (2,as,as,as), sparse ([af,af,af])) |
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614 %!assert (cat (1,as,as,as), sparse ([af;af;af])) |
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615 %!assert (issparse ([as,af])) |
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616 %!assert (issparse ([af,as])) |
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617 %!assert ([as,af], sparse ([af,af])) |
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618 %!assert ([as;af], sparse ([af;af])) |
5590 | 619 |
620 EOF | |
621 } | |
622 | |
623 # operations which require square matrices. | |
624 gen_square_tests() { | |
625 # The \ and / operator tests on square matrices | |
626 gen_square_divop_tests | |
627 | |
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628 cat <<EOF |
7243 | 629 %!testif HAVE_UMFPACK |
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630 %! assert(det(bs+speye(size(bs))), det(bf+eye(size(bf))), 100*eps*abs(det(bf+eye(size(bf))))); |
5590 | 631 |
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632 %!testif HAVE_UMFPACK |
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633 %! [l,u] = lu (sparse ([1,1;1,1])); |
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634 %! assert (l*u, [1,1;1,1], 10*eps); |
5590 | 635 |
7243 | 636 %!testif HAVE_UMFPACK |
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637 %! [l,u] = lu (sparse ([1,1;1,1+i])); |
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638 %! assert (l, sparse ([1,2,2],[1,1,2],1), 10*eps); |
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639 %! assert (u, sparse ([1,1,2],[1,2,2],[1,1,1i]), 10*eps); |
5590 | 640 |
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641 %!testif HAVE_UMFPACK # permuted LU |
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642 %! [L,U] = lu (bs); |
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643 %! assert (L*U, bs, 1e-10); |
5590 | 644 |
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645 %!testif HAVE_UMFPACK # simple LU + row permutations |
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646 %! [L,U,P] = lu (bs); |
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647 %! assert (P'*L*U, bs, 1e-10); |
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648 %! ## triangularity |
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649 %! [i,j,v] = find (L); |
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650 %! assert (i-j>=0); |
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651 %! [i,j,v] = find (U); |
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652 %! assert (j-i>=0); |
5590 | 653 |
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654 %!testif HAVE_UMFPACK # simple LU + row/col permutations |
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655 %! [L,U,P,Q] = lu (bs); |
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656 %! assert (P'*L*U*Q', bs, 1e-10); |
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657 %! ## triangularity |
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658 %! [i,j,v] = find (L); |
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659 %! assert (i-j>=0); |
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660 %! [i,j,v] = find (U); |
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661 %! assert (j-i>=0); |
5590 | 662 |
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663 %!testif HAVE_UMFPACK # LU with vector permutations |
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664 %! [L,U,P,Q] = lu (bs,'vector'); |
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665 %! assert (L(P,:)*U(:,Q), bs, 1e-10); |
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666 %! ## triangularity |
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667 %! [i,j,v] = find (L); |
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668 %! assert (i-j>=0); |
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669 %! [i,j,v] = find (U); |
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670 %! assert (j-i>=0); |
5590 | 671 |
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672 %!testif HAVE_UMFPACK # LU with scaling |
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673 %! [L,U,P,Q,R] = lu (bs); |
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674 %! assert (R*P'*L*U*Q', bs, 1e-10); |
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675 %! ## triangularity |
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676 %! [i,j,v] = find (L); |
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677 %! assert (i-j>=0); |
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678 %! [i,j,v] = find (U); |
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679 %! assert (j-i>=0); |
5590 | 680 |
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681 %!testif HAVE_UMFPACK # inverse |
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682 %! assert (inv (bs)*bs, sparse (eye (rows (bs))), 1e-10); |
5590 | 683 |
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684 %!assert (bf\as', bf\af', 100*eps) |
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685 %!assert (bs\af', bf\af', 100*eps) |
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686 %!assert (bs\as', sparse (bf\af'), 100*eps) |
5590 | 687 |
688 EOF | |
689 } | |
690 | |
691 # Cholesky tests | |
692 gen_cholesky_tests() { | |
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693 cat <<EOF |
7243 | 694 %!testif HAVE_CHOLMOD |
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695 %! assert (chol (bs)'*chol (bs), bs, 1e-10); |
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696 %!testif HAVE_CHOLMOD |
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697 %! assert (chol (bs,'lower')*chol (bs,'lower')', bs, 1e-10); |
7243 | 698 %!testif HAVE_CHOLMOD |
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699 %! assert (chol (bs,'lower'), chol (bs)', 1e-10); |
5590 | 700 |
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701 %!testif HAVE_CHOLMOD # Return Partial Cholesky factorization |
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702 %! [RS,PS] = chol (bs); |
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703 %! assert (RS'*RS, bs, 1e-10); |
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704 %! assert (PS, 0); |
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705 %! [LS,PS] = chol (bs,'lower'); |
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706 %! assert (LS*LS', bs, 1e-10); |
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707 %! assert (PS, 0); |
5590 | 708 |
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709 %!testif HAVE_CHOLMOD # Permuted Cholesky factorization |
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710 %! [RS,PS,QS] = chol (bs); |
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711 %! assert (RS'*RS, QS*bs*QS', 1e-10); |
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712 %! assert (PS, 0); |
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713 %! [LS,PS,QS] = chol (bs,'lower'); |
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714 %! assert (LS*LS', QS*bs*QS', 1e-10); |
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715 %! assert (PS, 0); |
5590 | 716 |
717 EOF | |
718 } | |
719 | |
720 # test scalar operations: uses af and real scalar bf; modifies as,bf,bs | |
721 gen_scalar_tests() { | |
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722 echo '%!test as = sparse (af);' |
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723 echo '%!test bs = bf;' |
5590 | 724 gen_elementop_tests |
725 gen_ordering_tests | |
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726 echo '%!test bf = bf+1i;' |
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727 echo '%!test bs = bf;' |
5590 | 728 gen_elementop_tests |
729 } | |
730 | |
731 # test matrix operations: uses af and bf; modifies as,bs | |
732 gen_rectangular_tests() { | |
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733 echo '%!test as = sparse(af);' |
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734 echo '%!test bs = sparse(bf);' |
5590 | 735 gen_mapper_tests |
736 gen_real_mapper_tests | |
737 gen_unaryop_tests | |
738 gen_elementop_tests | |
739 gen_sparsesparse_elementop_tests | |
740 gen_matrixop_tests | |
741 # gen_divop_tests # Disable rectangular \ and / for now | |
742 gen_matrixdiag_tests | |
743 gen_matrixreshape_tests | |
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744 cat <<EOF |
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745 %!testif HAVE_UMFPACK # permuted LU |
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746 %! [L,U] = lu (bs); |
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747 %! assert (L*U, bs, 1e-10); |
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748 |
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749 %!testif HAVE_UMFPACK # simple LU + row permutations |
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750 %! [L,U,P] = lu (bs); |
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751 %! assert (P'*L*U, bs, 1e-10); |
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752 %! ## triangularity |
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753 %! [i,j,v] = find (L); |
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754 %! assert (i-j>=0); |
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755 %! [i,j,v] = find (U); |
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756 %! assert (j-i>=0); |
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757 |
14190
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758 %!testif HAVE_UMFPACK # simple LU + row/col permutations |
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759 %! [L,U,P,Q] = lu (bs); |
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760 %! assert (P'*L*U*Q', bs, 1e-10); |
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761 %! ## triangularity |
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762 %! [i,j,v] = find (L); |
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763 %! assert (i-j>=0); |
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764 %! [i,j,v] = find (U); |
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765 %! assert (j-i>=0); |
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766 |
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767 %!testif HAVE_UMFPACK # LU with vector permutations |
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768 %! [L,U,P,Q] = lu (bs,'vector'); |
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769 %! assert (L (P,:)*U (:,Q), bs, 1e-10); |
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770 %! ## triangularity |
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771 %! [i,j,v] = find (L); |
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772 %! assert (i-j>=0); |
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773 %! [i,j,v] = find (U); |
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774 %! assert (j-i>=0); |
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775 |
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776 %!testif HAVE_UMFPACK # LU with scaling |
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777 %! [L,U,P,Q,R] = lu (bs); |
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778 %! assert (R*P'*L*U*Q', bs, 1e-10); |
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779 %! ## triangularity |
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780 %! [i,j,v] = find (L); |
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781 %! assert (i-j>=0); |
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782 %! [i,j,v] = find (U); |
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783 %! assert (j-i>=0); |
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784 |
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785 EOF |
5590 | 786 } |
787 | |
788 | |
789 # ======================================================= | |
790 # sparse assembly tests | |
791 | |
792 gen_assembly_tests() { | |
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793 cat <<EOF |
5590 | 794 %%Assembly tests |
795 %!test | |
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796 %! m = max ([m;r(:)]); |
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797 %! n = max ([n;c(:)]); |
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798 %! funiq = fsum = zeros (m,n); |
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799 %! funiq(r(:) + m*(c(:)-1) ) = ones (size (r(:))); |
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800 %! funiq = sparse (funiq); |
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801 %! for k=1:length (r) |
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802 %! fsum(r(k),c(k)) += 1; |
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803 %! endfor |
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804 %! fsum = sparse (fsum); |
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805 %!assert (sparse (r,c,1), sparse (fsum(1:max(r), 1:max(c)))) |
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806 %!assert (sparse (r,c,1,"sum"), sparse (fsum(1:max (r),1:max (c)))) |
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807 %!assert (sparse (r,c,1,"unique"), sparse (funiq(1:max (r),1:max (c)))) |
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808 %!assert (sparse (r,c,1,m,n), sparse (fsum)) |
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809 %!assert (sparse (r,c,1,m,n,"sum"), sparse (fsum)) |
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810 %!assert (sparse (r,c,1,m,n,"unique"), sparse (funiq)) |
5590 | 811 |
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812 %!assert (sparse (r,c,1i), sparse (fsum(1:max (r),1:max (c))*1i)) |
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813 %!assert (sparse (r,c,1i,"sum"), sparse (fsum(1:max (r),1:max (c))*1i)) |
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814 %!assert (sparse (r,c,1i,"unique"), sparse (funiq(1:max (r),1:max (c))*1i)) |
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815 %!assert (sparse (r,c,1i,m,n), sparse (fsum*1i)) |
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816 %!assert (sparse (r,c,1i,m,n,"sum"), sparse (fsum*1i)) |
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817 %!assert (sparse (r,c,1i,m,n,"unique"), sparse (funiq*1i)) |
5590 | 818 |
819 %!test | |
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820 %! if (issparse (funiq)) |
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821 %! assert (sparse (full (1i*funiq)), sparse (1i*funiq)); |
5590 | 822 %! endif |
823 | |
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824 %!assert (sparse (full (funiq)), funiq) |
5590 | 825 |
826 | |
827 EOF | |
828 } | |
829 | |
830 # ======================================================= | |
831 # sparse selection tests | |
832 | |
7326 | 833 gen_scalar_select_tests () { |
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834 cat <<EOF |
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835 %!assert (sparse (42)([1,1]), sparse ([42,42])) |
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836 %!assert (sparse (42*1i)([1,1]), sparse ([42,42].*1i)) |
7326 | 837 EOF |
838 } | |
839 | |
5590 | 840 gen_select_tests() { |
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841 cat <<EOF |
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842 %!test as = sparse (af); |
5590 | 843 |
844 %% Point tests | |
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845 %!test idx = ridx(:) + rows (as) * (cidx (:)-1); |
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846 %!assert (sparse (as(idx)), sparse (af(idx))) |
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847 %!assert (as(idx), sparse (af(idx))) |
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848 %!assert (as(idx'), sparse (af(idx'))) |
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849 %!assert (as(flipud (idx(:))), sparse (af(flipud (idx(:))))) |
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850 %!assert (as([idx,idx]), sparse (af([idx,idx]))) |
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851 %!assert (as(reshape ([idx;idx], [1,length(idx),2])), sparse(af(reshape ([idx;idx], [1,length(idx),2])))) |
5590 | 852 |
853 %% Slice tests | |
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854 %!assert (as(ridx,cidx), sparse (af(ridx,cidx))) |
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855 %!assert (as(ridx,:), sparse (af(ridx,:))) |
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856 %!assert (as(:,cidx), sparse (af(:,cidx))) |
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857 %!assert (as(:,:), sparse (af(:,:))) |
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858 %!assert (as((size (as,1):-1:1),:), sparse (af((size (af,1):-1:1),:))) |
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859 %!assert (as(:,(size (as,2):-1:1)), sparse (af(:, (size (af,2):-1:1)))) |
5603 | 860 |
7322 | 861 %% Indexing tests |
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862 %!assert (full (as([1,1],:)), af([1,1],:)) |
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863 %!assert (full (as(:,[1,1])), af(:,[1,1])) |
7322 | 864 %!test |
865 %! [i,j,v] = find (as); | |
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866 %! assert (as(i(1),j(1))([1,1]), sparse ([v(1), v(1)])); |
7322 | 867 |
5603 | 868 %% Assignment test |
869 %!test | |
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870 %! ts = as; ts(:,:) = ts(fliplr (1:size (as,1)),:); |
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871 %! tf = af; tf(:,:) = tf(fliplr (1:size (af,1)),:); |
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872 %! assert (ts, sparse (tf)); |
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873 %!test |
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874 %! ts = as; ts(fliplr (1:size (as,1)),:) = ts; |
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875 %! tf = af; tf(fliplr (1:size (af,1)),:) = tf; |
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876 %! assert (ts, sparse (tf)); |
5603 | 877 %!test |
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878 %! ts = as; ts(:,fliplr (1:size (as,2))) = ts; |
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879 %! tf = af; tf(:,fliplr (1:size (af,2))) = tf; |
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880 %! assert (ts, sparse (tf)); |
5603 | 881 %!test |
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882 %! ts(fliplr (1:size (as,1))) = as(:,1); |
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883 %! tf(fliplr (1:size (af,1))) = af(:,1); |
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884 %! assert (ts, sparse (tf)); |
5603 | 885 |
886 %% Deletion tests | |
887 %!test | |
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888 %! ts = as; ts(1,:) = []; tf = af; tf(1,:) = []; |
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889 %! assert (ts, sparse (tf)); |
5603 | 890 %!test |
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891 %! ts = as; ts(:,1) = []; tf = af; tf(:,1) = []; |
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892 %! assert (ts, sparse (tf)); |
5590 | 893 |
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894 %% Test "end" keyword |
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895 %!assert (full (as(end)), af(end)) |
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896 %!assert (full (as(1,end)), af(1,end)) |
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897 %!assert (full (as(end,1)), af(end,1)) |
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898 %!assert (full (as(end,end)), af(end,end)) |
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899 %!assert (as(2:end,2:end), sparse (af(2:end,2:end))) |
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900 %!assert (as(1:end-1,1:end-1), sparse (af(1:end-1,1:end-1))) |
5590 | 901 EOF |
902 } | |
903 | |
904 # ======================================================= | |
905 # sparse save and load tests | |
906 | |
907 gen_save_tests() { | |
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908 cat <<EOF |
5590 | 909 %!test # save ascii |
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910 %! savefile = tempname (); |
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911 %! as_save = as; |
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912 %! save ("-text", savefile, "bf", "as_save", "af"); |
5590 | 913 %! clear as_save; |
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914 %! load (savefile, "as_save"); |
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915 %! unlink (savefile); |
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916 %! assert (as_save, sparse (af)); |
5590 | 917 %!test # save binary |
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918 %! savefile = tempname (); |
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919 %! as_save = as; |
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920 %! save ("-binary", savefile, "bf", "as_save", "af"); |
5590 | 921 %! clear as_save; |
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922 %! load (savefile, "as_save"); |
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923 %! unlink (savefile); |
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924 %! assert (as_save, sparse (af)); |
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925 %!testif HAVE_HDF5 # save hdf5 |
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926 %! savefile = tempname (); |
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927 %! as_save = as; |
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928 %! save ("-hdf5", savefile, "bf", "as_save", "af"); |
5590 | 929 %! clear as_save; |
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930 %! load (savefile, "as_save"); |
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931 %! unlink (savefile); |
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932 %! assert (as_save, sparse (af)); |
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933 ## FIXME: We should skip (or mark as a known bug) the test for |
8871 | 934 ## saving sparse matrices to MAT files when using 64-bit indexing since |
935 ## that is not implemented yet. | |
5590 | 936 %!test # save matlab |
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937 %! savefile = tempname (); |
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938 %! as_save = as; |
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939 %! save ("-mat", savefile, "bf", "as_save", "af"); |
5590 | 940 %! clear as_save; |
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941 %! load (savefile, "as_save"); |
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942 %! unlink (savefile); |
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943 %! assert (as_save, sparse (af)); |
5590 | 944 EOF |
945 } | |
946 | |
947 # ============================================================= | |
948 # Specific solver tests for matrices that will test all of the solver | |
949 # code. Uses alpha and beta | |
950 gen_solver_tests() { | |
951 | |
952 if $preset; then | |
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953 cat <<EOF |
5590 | 954 %! n=8; |
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955 %! lf=diag (1:n); lf(n-1,1)=0.5*alpha; lf(n,2)=0.25*alpha; ls=sparse (lf); |
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956 %! uf=diag (1:n); uf(1,n-1)=2*alpha; uf(2,n)=alpha; us=sparse (uf); |
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957 %! ts=spdiags (ones (n,3),-1:1,n,n) + diag (1:n); tf = full (ts); |
5590 | 958 EOF |
959 else | |
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960 cat <<EOF |
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961 %! n = floor (lognrnd (8,2)+1)'; |
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962 %! ls = tril (sprandn (8,8,0.2),-1).*alpha + n*speye (8); lf = full (ls); |
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963 %! us = triu (sprandn (8,8,0.2),1).*alpha + n*speye (8); uf = full (us); |
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964 %! ts = spdiags (randn (8,3),-1:1,8,8).*alpha; tf = full (ts); |
5590 | 965 EOF |
966 fi | |
967 | |
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968 cat <<EOF |
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969 %! df = diag (1:n).* alpha; ds = sparse (df); |
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970 %! pdf = df(randperm (n), randperm (n)); |
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971 %! pds = sparse (pdf); |
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972 %! plf = lf(randperm (n), randperm (n)); |
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973 %! pls = sparse (plf); |
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974 %! puf = uf(randperm (n), randperm (n)); |
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975 %! pus = sparse (puf); |
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976 %! bs = spdiags (repmat ([1:n]',1,4),-2:1,n,n).*alpha; |
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977 %! bf = full (bs); |
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978 %! cf = lf + lf'; cs = sparse (cf); |
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979 %! bcf = bf + bf'; bcs = sparse (bcf); |
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980 %! tcf = tf + tf'; tcs = sparse (tcf); |
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981 %! xf = diag (1:n) + fliplr (diag (1:n)).*beta; |
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982 %! xs = sparse (xf); |
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983 %!assert (ds\xf, df\xf, 1e-10) |
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984 %!assert (ds\xs, sparse (df\xf), 1e-10) |
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985 %!assert (pds\xf, pdf\xf, 1e-10) |
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986 %!assert (pds\xs, sparse (pdf\xf), 1e-10) |
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987 %!assert (ls\xf, lf\xf, 1e-10) |
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988 %!assert (sparse (ls\xs), sparse (lf\xf), 1e-10) |
7243 | 989 %!testif HAVE_UMFPACK |
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990 %! assert (pls\xf, plf\xf, 1e-10); |
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991 %!testif HAVE_UMFPACK |
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992 %! assert (sparse (pls\xs), sparse (plf\xf), 1e-10); |
21317
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993 %!assert (us\xf, uf\xf, 1e-10) |
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994 %!assert (sparse (us\xs), sparse (uf\xf), 1e-10) |
7243 | 995 %!testif HAVE_UMFPACK |
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996 %! assert (pus\xf, puf\xf, 1e-10); |
7243 | 997 %!testif HAVE_UMFPACK |
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998 %! assert (sparse (pus\xs), sparse (puf\xf), 1e-10); |
21317
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999 %!assert (bs\xf, bf\xf, 1e-10) |
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1000 %!assert (sparse (bs\xs), sparse (bf\xf), 1e-10) |
7243 | 1001 %!testif HAVE_UMFPACK |
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1002 %! assert (cs\xf, cf\xf, 1e-10); |
7243 | 1003 %!testif HAVE_UMFPACK |
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1004 %! assert (sparse (cs\xs), sparse (cf\xf), 1e-10); |
7243 | 1005 %!testif HAVE_UMFPACK |
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1006 %! assert (bcs\xf, bcf\xf, 1e-10); |
7254 | 1007 %!testif HAVE_UMFPACK |
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1008 %! assert (sparse (bcs\xs), sparse (bcf\xf), 1e-10); |
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1009 %!assert (ts\xf, tf\xf, 1e-10) |
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1010 %!assert (sparse (ts\xs), sparse (tf\xf), 1e-10) |
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1011 %!assert (tcs\xf, tcf\xf, 1e-10) |
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1012 %!assert (sparse (tcs\xs), sparse (tcf\xf), 1e-10) |
5590 | 1013 |
1014 EOF | |
5610 | 1015 |
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1016 cat <<EOF |
5610 | 1017 %% QR solver tests |
1018 | |
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1019 %!function f (a, sz, feps) |
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1020 %! b = randn (sz); |
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1021 %! x = a \ b; |
5610 | 1022 %! assert (a * x, b, feps); |
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1023 %! b = randn (sz) + 1i*randn (sz); |
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1024 %! x = a \ b; |
5610 | 1025 %! assert (a * x, b, feps); |
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1026 %! b = sprandn (sz(1),sz(2),0.2); |
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1027 %! x = a \ b; |
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|
1028 %! assert (sparse (a * x), b, feps); |
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|
1029 %! b = sprandn (sz(1),sz(2),0.2) + 1i*sprandn (sz(1),sz(2),0.2); |
16215
6fe6ac8bbfdb
test: Remove trailing spaces from ends of lines in test/ directory.
Rik <rik@octave.org>
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|
1030 %! x = a \ b; |
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|
1031 %! assert (sparse (a * x), b, feps); |
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|
1032 %!endfunction |
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Use testif to only run some sparse tests when necessary libraries are installed.
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|
1033 %!testif HAVE_UMFPACK |
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|
1034 %! a = alpha*sprandn (10,11,0.2) + speye (10,11); |
16213
b1283d4c06c2
test: Use Octave coding standards for scripts in test/ directory.
Rik <rik@octave.org>
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diff
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|
1035 %! f (a,[10,2],1e-10); |
16215
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test: Remove trailing spaces from ends of lines in test/ directory.
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|
1036 %! ## Test this by forcing matrix_type, as can't get a certain |
5630 | 1037 %! ## result for over-determined systems. |
16213
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|
1038 %! a = alpha*sprandn (10,10,0.2) + speye (10,10); |
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|
1039 %! matrix_type (a, "Singular"); |
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test: Use Octave coding standards for scripts in test/ directory.
Rik <rik@octave.org>
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|
1040 %! f (a,[10,2],1e-10); |
5610 | 1041 |
5630 | 1042 %% Rectanguar solver tests that don't use QR |
1043 | |
1044 %!test | |
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|
1045 %! ds = alpha * spdiags ([1:11]',0,10,11); |
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|
1046 %! df = full (ds); |
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|
1047 %! xf = beta * ones (10,2); |
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|
1048 %! xs = speye (10,10); |
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|
1049 %!assert (ds\xf, df\xf, 100*eps) |
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|
1050 %!assert (ds\xs, sparse (df\xs), 100*eps) |
5630 | 1051 %!test |
1052 %! pds = ds([2,1,3:10],:); | |
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1053 %! pdf = full (pds); |
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|
1054 %!assert (pds\xf, pdf\xf, 100*eps) |
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|
1055 %!assert (pds\xs, sparse (pdf\xs), 100*eps) |
5630 | 1056 %!test |
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1057 %! ds = alpha * spdiags ([1:11]',0,11,10); |
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|
1058 %! df = full (ds); |
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|
1059 %! xf = beta * ones (11,2); |
c3309e1ec50d
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|
1060 %! xs = speye (11,11); |
c3309e1ec50d
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|
1061 %!assert (ds\xf, df\xf, 100*eps) |
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|
1062 %!assert (ds\xs, sparse (df\xs), 100*eps) |
5630 | 1063 %!test |
1064 %! pds = ds([2,1,3:11],:); | |
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1065 %! pdf = full (pds); |
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|
1066 %!assert (pds\xf, pdf\xf, 100*eps) |
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|
1067 %!assert (pds\xs, sparse (pdf\xs), 100*eps) |
5630 | 1068 %!test |
1069 %! us = alpha*[[speye(10,10);sparse(1,10)],[[1,1];sparse(9,2);[1,1]]]; | |
7243 | 1070 %!testif HAVE_UMFPACK |
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|
1071 %! assert (us*(us\xf), xf, 100*eps); |
7243 | 1072 %!testif HAVE_UMFPACK |
21580
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Rik <rik@octave.org>
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|
1073 %! assert (us*(us\xs), xs, 100*eps); |
5630 | 1074 %!test |
1075 %! pus = us(:,[2,1,3:12]); | |
7243 | 1076 %!testif HAVE_UMFPACK |
21580
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|
1077 %! assert (pus*(pus\xf), xf, 100*eps); |
7243 | 1078 %!testif HAVE_UMFPACK |
21580
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|
1079 %! assert (pus*(pus\xs), xs, 100*eps); |
5630 | 1080 %!test |
1081 %! us = alpha*[speye(11,9),[1;sparse(8,1);1;0]]; | |
7243 | 1082 %!testif HAVE_CXSPARSE |
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1083 %! [c,r] = qr (us, xf); |
21580
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1084 %! assert (us\xf, r\c, 100*eps); |
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|
1085 %!testif HAVE_UMFPACK |
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1086 %! [c,r] = qr (us, xs); |
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1087 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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1088 %! assert (us\xs, r\c, 100*eps); |
5630 | 1089 %!test |
1090 %! pus = us(:,[1:8,10,9]); | |
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|
1091 %!testif HAVE_UMFPACK |
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1092 %! [c,r] = qr (pus, xf); |
14131
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|
1093 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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|
1094 %! assert (pus\xf, r\c, 100*eps); |
12329
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|
1095 %!testif HAVE_UMFPACK |
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|
1096 %! [c,r] = qr (pus, xs); |
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|
1097 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
21580
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|
1098 %! assert (pus\xs, r\c, 100*eps); |
5630 | 1099 %!test |
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1100 %! ls = alpha*[speye(9,11);[1, sparse(1,8),1,0]]; |
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|
1101 %! xf = beta * ones (10,2); |
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1102 %! xs = speye (10,10); |
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|
1103 %!assert (ls*(ls\xf), xf, 100*eps) |
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|
1104 %!assert (ls*(ls\xs), xs, 100*eps) |
5630 | 1105 %!test |
1106 %! pls = ls([1:8,10,9],:); | |
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|
1107 %!assert (pls*(pls\xf), xf, 100*eps) |
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|
1108 %!assert (pls*(pls\xs), xs, 100*eps) |
5630 | 1109 %!test |
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|
1110 %! ls = alpha*[speye(10,10), sparse(10,1);[1;1], sparse(2,9),[1;1]]; |
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|
1111 %! xf = beta * ones (12,2); |
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|
1112 %! xs = speye (12,12); |
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|
1113 %!testif HAVE_UMFPACK |
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|
1114 %! [c,r] = qr (ls, xf); |
21580
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|
1115 %! assert (ls\xf, r\c, 100*eps); |
12329
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|
1116 %!testif HAVE_UMFPACK |
7505
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|
1117 %! [c,r] = qr (ls, xs); |
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1118 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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|
1119 %! assert (ls\xs, r\c, 100*eps); |
7243 | 1120 %!testif HAVE_CXSPARSE |
5630 | 1121 %! pls = ls(:,[1:8,10,9]); |
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|
1122 %!testif HAVE_UMFPACK |
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1123 %! [c,r] = qr (pls, xf); |
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1124 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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1125 %! assert (pls\xf, r\c, 100*eps); |
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|
1126 %!testif HAVE_UMFPACK |
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1127 %! [c,r] = qr (pls, xs); |
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1128 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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1129 %! assert (pls\xs, r\c, 100*eps); |
5630 | 1130 |
5610 | 1131 EOF |
5590 | 1132 } |
1133 | |
1134 | |
1135 # ============================================================= | |
1136 # Putting it all together: defining the combined tests | |
1137 | |
1138 | |
1139 # initial function | |
1140 gen_function | |
1141 gen_section | |
1142 | |
1143 # specific tests | |
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1144 if $preset; then |
5590 | 1145 gen_specific_tests |
1146 gen_section | |
1147 fi | |
1148 | |
1149 # scalar operations | |
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|
1150 echo '%!shared as,af,bs,bf' |
5590 | 1151 if $preset; then |
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|
1152 echo '%!test af=[1+1i,2-1i,0,0;0,0,0,3+2i;0,0,0,4];' |
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|
1153 echo '%!test bf=3;' |
5590 | 1154 else |
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|
1155 cat <<EOF |
5590 | 1156 %!test |
1157 %! % generate m,n from 1 to <5000 | |
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1158 %! m = floor (lognrnd (8,2)+1); |
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1159 %! n = floor (lognrnd (8,2)+1); |
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1160 %! as = sprandn (m,n,0.3); |
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|
1161 %! af = full (as + 1i*sprandn (as)); |
5590 | 1162 %! bf = randn; |
1163 EOF | |
1164 fi | |
1165 | |
1166 gen_scalar_tests | |
1167 gen_section | |
1168 | |
1169 # rectangular operations | |
1170 if $preset; then | |
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|
1171 echo '%!test af=[1+1i,2-1i,0,0;0,0,0,3+2i;0,0,0,4];' |
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|
1172 echo '%!test bf=[0,1-1i,0,0;2+1i,0,0,0;3-1i,2+3i,0,0];' |
5590 | 1173 else |
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|
1174 cat <<EOF |
5590 | 1175 %!test |
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1176 %! m = floor (lognrnd (8,2)+1); |
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1177 %! n = floor (lognrnd (8,2)+1); |
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1178 %! as = sprandn (m,n,0.3); |
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1179 %! af = full (as + 1i*sprandn (as)); |
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1180 %! bs = sprandn (m,n,0.3); |
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1181 %! bf = full (bs + 1i*sprandn (bs)); |
5590 | 1182 EOF |
1183 fi | |
1184 | |
1185 gen_rectangular_tests | |
1186 gen_section | |
1187 gen_save_tests | |
1188 gen_section | |
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1189 echo '%!test bf = real (bf);' |
5590 | 1190 gen_rectangular_tests |
1191 gen_section | |
1192 gen_sparsesparse_ordering_tests | |
1193 gen_section | |
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1194 echo '%!test af = real (af);' |
5590 | 1195 gen_rectangular_tests |
1196 gen_section | |
1197 gen_save_tests | |
1198 gen_section | |
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1199 echo '%!test bf = bf+1i*(bf!=0);' |
5590 | 1200 gen_rectangular_tests |
1201 gen_section | |
1202 | |
1203 # square operations | |
1204 if $preset; then | |
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1205 echo '%!test af = [1+1i,2-1i,0,0;0,0,0,3+2i;0,0,0,4];' |
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1206 echo '%! as = sparse (af);' |
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1207 echo '%!test bf = [0,1-1i,0,0;2+1i,0,0,0;3-1i,2+3i,0,0];' |
5590 | 1208 else |
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1209 cat <<EOF |
5590 | 1210 %!test |
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1211 %! m = floor (lognrnd (8,2)+1); |
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1212 %! n = floor (lognrnd (8,2)+1); |
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1213 %! as = sprandn (m,n,0.3); |
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1214 %! af = full (as + 1i*sprandn (as)); |
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1215 %! bs = sprandn (m,n,0.3); |
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1216 %! bf = full (bs + 1i*sprandn (bs)); |
5590 | 1217 EOF |
1218 fi | |
1219 | |
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1220 cat <<EOF |
5590 | 1221 %!test ;# invertible matrix |
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1222 %! bf = af'*bf+max (abs ([af(:);bf(:)]))*sparse (eye (columns (as))); |
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1223 %! bs = sparse (bf); |
5590 | 1224 |
1225 EOF | |
1226 | |
1227 gen_square_tests | |
1228 gen_section | |
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1229 echo '%!test bf = real (bf);' |
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1230 echo '%! bs = sparse (bf);' |
5590 | 1231 gen_square_tests |
1232 gen_section | |
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1233 echo '%!test af = real (af);' |
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1234 echo '%! as = sparse (af);' |
5590 | 1235 gen_square_tests |
1236 gen_section | |
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1237 echo '%!test bf = bf+1i*(bf!=0);' |
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1238 echo '%! bs = sparse (bf);' |
5590 | 1239 gen_square_tests |
1240 gen_section | |
1241 | |
1242 # cholesky tests | |
1243 if $preset; then | |
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1244 echo '%!test bf = [5,0,1+1i,0;0,5,0,1-2i;1-1i,0,5,0;0,1+2i,0,5];' |
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1245 echo '%! bs = sparse (bf);' |
5590 | 1246 else |
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1247 echo '# This has a small chance of failing to create a positive definite matrix' |
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1248 echo '%!test n = floor (lognrnd (8,2)+1)' |
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1249 echo '%! bs = n*speye (n,n) + sprandn (n,n,0.3);' |
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1250 echo '%! bf = full (bs);' |
5590 | 1251 fi |
1252 | |
1253 gen_cholesky_tests | |
1254 gen_section | |
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1255 echo '%!test bf = real (bf);' |
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1256 echo '%! bs = sparse (bf);' |
5590 | 1257 gen_cholesky_tests |
1258 gen_section | |
1259 | |
1260 # assembly tests | |
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1261 echo '%!shared r,c,m,n,fsum,funiq' |
5590 | 1262 if $use_preset; then |
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1263 cat <<EOF |
5590 | 1264 %!test |
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1265 %! r = [1,1,2,1,2,3]; |
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1266 %! c = [2,1,1,1,2,1]; |
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1267 %! m = n = 0; |
5590 | 1268 EOF |
1269 else | |
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1270 cat <<EOF |
5590 | 1271 %!test |
1272 %! % generate m,n from 1 to <5000 | |
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1273 %! m = floor (lognrnd (8,2)+1); |
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1274 %! n = floor (lognrnd (8,2)+1); |
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1275 %! nz = ceil ((m+n)/2); |
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1276 %! r = floor (rand (5,nz)*n)+1; |
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1277 %! c = floor (rand (5,nn)*m)+1; |
5590 | 1278 EOF |
1279 fi | |
1280 gen_assembly_tests #includes real and complex tests | |
1281 gen_section | |
1282 | |
1283 # slicing tests | |
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1284 echo '%!shared ridx,cidx,idx,as,af' |
5590 | 1285 if $use_preset; then |
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1286 cat <<EOF |
5590 | 1287 %!test |
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1288 %! af = [1+1i,2-1i,0,0;0,0,0,3+2i;0,0,0,4]; |
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1289 %! ridx = [1,3]; |
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1290 %! cidx = [2,3]; |
5590 | 1291 EOF |
1292 else | |
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1293 cat <<EOF |
5590 | 1294 %!test |
1295 %! % generate m,n from 1 to <5000 | |
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1296 %! m = floor (lognrnd (8,2)+1); |
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1297 %! n = floor (lognrnd (8,2)+1); |
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1298 %! as = sprandn (m,n,0.3); |
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1299 %! af = full (as + 1i*sprandn (as)); |
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1300 %! ridx = ceil (m*rand (1,ceil (rand*m)); |
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1301 %! cidx = ceil (n*rand (1,ceil (rand*n)); |
5590 | 1302 EOF |
1303 fi | |
7326 | 1304 gen_scalar_select_tests |
5590 | 1305 gen_select_tests |
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1306 echo '%!test af = real (af);' |
5590 | 1307 gen_select_tests |
1308 gen_section | |
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1309 echo '%!shared alpha,beta,df,pdf,lf,plf,uf,puf,bf,cf,bcf,tf,tcf,xf,ds,pds,ls,pls,us,pus,bs,cs,bcs,ts,tcs,xs' |
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1310 echo '%!test alpha=1; beta=1;' |
5590 | 1311 gen_solver_tests |
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1312 echo '%!test alpha=1; beta=1i;' |
5590 | 1313 gen_solver_tests |
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1314 echo '%!test alpha=1i; beta=1;' |
5590 | 1315 gen_solver_tests |
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1316 echo '%!test alpha=1i; beta=1i;' |
5590 | 1317 gen_solver_tests |
1318 gen_section |