Mercurial > octave
annotate test/mk-sparse-tst.sh @ 31225:3eab70385569
sparse-xpow.cc: Use faster multiplication technique, this time for complex
author | Arun Giridhar <arungiridhar@gmail.com> |
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date | Sun, 11 Sep 2022 13:53:38 -0400 |
parents | 796f54d4ddbf |
children | 597f3ee61a48 |
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1 #! /bin/sh |
5590 | 2 |
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3 ######################################################################## |
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4 ## |
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5 ## Copyright (C) 2006-2022 The Octave Project Developers |
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6 ## |
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7 ## See the file COPYRIGHT.md in the top-level directory of this |
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8 ## distribution or <https://octave.org/copyright/>. |
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9 ## |
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10 ## This file is part of Octave. |
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11 ## |
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12 ## Octave is free software: you can redistribute it and/or modify it |
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13 ## under the terms of the GNU General Public License as published by |
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14 ## the Free Software Foundation, either version 3 of the License, or |
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15 ## (at your option) any later version. |
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16 ## |
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17 ## Octave is distributed in the hope that it will be useful, but |
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18 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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19 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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20 ## GNU General Public License for more details. |
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21 ## |
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22 ## You should have received a copy of the GNU General Public License |
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23 ## along with Octave; see the file COPYING. If not, see |
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24 ## <https://www.gnu.org/licenses/>. |
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25 ## |
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26 ######################################################################## |
7019 | 27 |
5590 | 28 # Some tests are commented out because they are known to be broken! |
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29 # Search for "# fails" |
5590 | 30 |
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31 # ./build-sparse-tests.sh preset |
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32 # creates sparse.tst with preset tests. |
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33 # Use "test sparse.tst" from octave to run the tests. |
5590 | 34 # |
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35 # ./build-sparse-tests.sh random |
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36 # Creates sprandom.tst with randomly generated matrices. |
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37 # Use "test sprandom.tst" from octave to run the tests. |
5590 | 38 |
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39 # build-sparse-tests.sh generates tests for real and complex sparse matrices. |
5590 | 40 # Also, we want to run both fixed tests with known outputs (quick tests) |
41 # and longer tests with unknown outputs (thorough tests). This requires | |
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42 # two sets of tests -- one which uses preset matrices and another which |
5590 | 43 # uses randomly generated matrices. |
44 # | |
45 # The tests are mostly identical for each case but the code is different, | |
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46 # so it is important that the tests be run on all cases. Because our test |
5590 | 47 # harness doesn't have support for looping or macros (it is only needed |
48 # for new data types), but sh does, we use sh to generate inline versions of | |
49 # the tests for each case. | |
50 # | |
51 # Our 'macros' use shared variables as parameters. This allows us to | |
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52 # for example define A complex and include all the unary ops tests, |
5590 | 53 # then set A=real(A) and include all the unary ops tests. Thus the |
54 # same tests work for real and complex. For binary tests it is even | |
55 # more complicated because we want full X sparse, sparse X full and | |
56 # sparse X sparse tested. | |
57 # | |
58 # We use the following macros: | |
59 # | |
60 # gen_section | |
61 # place a separator in the test file | |
62 # gen_function | |
63 # define the function definion | |
64 # helper gen_specific | |
65 # specific tests such as error handling and null input | |
66 # helper gen_eat_zeros | |
67 # make sure sparse-scalar ops which generate 0 work | |
68 # gen_specific_tests | |
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69 # specific and eat zeros tests |
5590 | 70 # helper gen_ordering_tests |
71 # ordered comparison operators for real valued tests | |
72 # helper gen_sparsesparse_ordering_tests | |
73 # ordered comparison operators for real valued sparse-sparse tests | |
74 # helper gen_elementop_tests | |
75 # element-wise matrix binary operators, including scalar-matrix ops. | |
76 # horizontal/vertical concatenation are here as well. | |
77 # helper gen_sparsesparse_elementop_tests | |
78 # element-wise matrix binary operators, for sparse-sparse ops. | |
79 # horizontal/vertical concatenation are here as well. | |
80 # helper gen_divop_tests | |
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81 # left and right matrix division operators of rectangular matrices. |
5590 | 82 # Needs QR solvers |
83 # helper gen_square_divop_tests | |
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84 # left and right matrix division operators of square matrices. |
5590 | 85 # helper gen_matrixop_tests |
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86 # rectangular matrix binary operators: * |
5590 | 87 # helper gen_matrixdiag_tests |
88 # Tests extract of diag and creation of diagonal matrices using | |
89 # diag and spdiags functions | |
90 # helper gen_matrixreshape_tests | |
91 # Test the reshape function on sparse matrices | |
92 # helper print_mapper_test | |
93 # sub-helper function of gen_mapper_tests to print individual tests | |
94 # helper gen_mapper_tests | |
95 # Tests all of the one argument mapper functions. There are a few | |
96 # specific tests that abs, real and imag return real values. | |
97 # helper gen_unaryop_tests | |
98 # functions and operators which transform a single matrix | |
99 # helper gen_save_tests | |
100 # Tests the load/save functionality for ascii/binary and hdf5 formats | |
101 # gen_scalar_tests | |
102 # element ops for real and complex scalar and sparse | |
103 # gen_rectangular_tests | |
104 # unary, element, and matrix tests for a and full/sparse b | |
105 # gen_square_tests | |
106 # operations which require square matrices: lu, inv, \ | |
107 # A square non-singular matrix is defined from the rectangular | |
108 # inputs A and B. | |
109 # gen_assembly_tests | |
110 # test for sparse constructors with 'sum' vs. 'unique' | |
111 # gen_select_tests | |
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112 # indexing and assignment tests |
5590 | 113 # gen_solver_tests |
114 # Tests the solve function with triangular/banded, etc matrices | |
115 | |
116 case $1 in | |
117 random) preset=false ;; | |
118 preset) preset=true ;; | |
119 '') preset=true ;; | |
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120 *) echo "build-sparse-tests.sh random|preset" && exit 1 ;; |
5590 | 121 esac |
122 | |
123 # create initial file | |
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124 cat <<EOF |
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125 ## !!! DO NOT EDIT !!! |
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126 ## THIS IS AN AUTOMATICALLY GENERATED FILE |
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127 ## modify build-sparse-tests.sh to generate the tests you need. |
5590 | 128 EOF |
129 | |
130 | |
131 # define all functions | |
132 | |
133 | |
134 # ======================================================= | |
135 # Section separator | |
136 | |
137 gen_section() { | |
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138 cat <<EOF |
5590 | 139 |
140 # ============================================================== | |
141 | |
142 EOF | |
143 } | |
144 | |
145 | |
146 # ======================================================= | |
147 # Specific preset tests | |
148 | |
149 # ======================================================= | |
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150 # If a sparse operation yields zeros, then those elements |
5590 | 151 # of the returned sparse matrix should be eaten. |
152 gen_eat_zeros() { | |
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153 cat <<EOF |
5590 | 154 %% Make sure newly introduced zeros get eaten |
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155 %!assert (nnz (sparse ([bf,bf,1]).^realmax), 1) |
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156 %!assert (nnz (sparse ([1,bf,bf]).^realmax), 1) |
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157 %!assert (nnz (sparse ([bf,bf,bf]).^realmax), 0) |
5590 | 158 |
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159 %!assert (nnz (sparse ([bf;bf;1]).^realmax), 1) |
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160 %!assert (nnz (sparse ([1;bf;bf]).^realmax), 1) |
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161 %!assert (nnz (sparse ([0.5;bf;bf]).^realmax), 0) |
5590 | 162 |
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163 %!assert (nnz (sparse ([bf,bf,1])*realmin), 1) |
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164 %!assert (nnz (sparse ([1,bf,bf])*realmin), 1) |
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165 %!assert (nnz (sparse ([bf,bf,bf])*realmin), 0) |
5590 | 166 |
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167 %!assert (nnz (sparse ([bf;bf;1])*realmin), 1) |
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168 %!assert (nnz (sparse ([1;bf;bf])*realmin), 1) |
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169 %!assert (nnz (sparse ([bf;bf;bf])*realmin), 0) |
5590 | 170 |
171 EOF | |
172 } | |
173 | |
174 gen_specific() { | |
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175 cat <<EOF |
5590 | 176 |
177 %!test # segfault test from edd@debian.org | |
178 %! n = 510; | |
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179 %! sparse (kron ((1:n)', ones (n,1)), kron (ones (n,1), (1:n)'), ones (n)); |
5590 | 180 |
181 %% segfault tests from Fabian@isas-berlin.de | |
182 %% Note that the last four do not fail, but rather give a warning | |
183 %% of a singular matrix, which is consistent with the full matrix | |
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184 %% behavior. They are therefore disabled. |
7243 | 185 %!testif HAVE_UMFPACK |
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186 %! assert (inv (sparse ([1,1;1,1+i])), sparse ([1-1i,1i;1i,-1i]), 10*eps); |
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187 %#!error inv ( sparse ([1,1;1,1] ) ); |
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188 %#!error inv ( sparse ([0,0;0,1] ) ); |
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189 %#!error inv ( sparse ([0,0;0,1+i]) ); |
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190 %#!error inv ( sparse ([0,0;0,0] ) ); |
5590 | 191 |
192 %% error handling in constructor | |
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193 %!error sparse (1,[2,3],[1,2,3]) |
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194 %!error sparse ([1,1],[1,1],[1,2],3,3,"invalid") |
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195 %!error sparse ([1,3],[1,-4],[3,5],2,2) |
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196 %!error sparse ([1,3],[1,-4],[3,5i],2,2) |
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197 %!error sparse (-1,-1,1) |
5590 | 198 EOF |
199 } | |
200 | |
201 | |
202 gen_specific_tests() { | |
203 gen_section | |
204 gen_specific | |
205 gen_section | |
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206 echo '%!shared bf' |
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207 echo '%!test bf=realmin;' |
5590 | 208 gen_eat_zeros |
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209 echo '%!test bf=realmin+realmin*1i;' |
5590 | 210 gen_eat_zeros |
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211 cat <<EOF |
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212 %!assert (nnz (sparse ([-1,realmin,realmin]).^1.5), 1) |
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213 %!assert (nnz (sparse ([-1,realmin,realmin,1]).^1.5), 2) |
5590 | 214 |
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215 ## Make sure scalar v==0 doesn't confuse matters |
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216 %!assert (nnz (sparse (1,1,0)), 0) |
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217 %!assert (nnz (sparse (eye (3))*0), 0) |
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218 %!assert (nnz (sparse (eye (3))-sparse (eye (3))), 0) |
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219 %!assert (full (sparse (eye (3))/0), full (eye (3)/0)) |
5590 | 220 |
221 EOF | |
222 } | |
223 | |
224 | |
225 # ======================================================= | |
226 # Main function definition | |
227 | |
228 gen_function() { | |
229 if $preset; then | |
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230 cat <<EOF |
5590 | 231 ## |
232 ## test_sparse | |
233 ## | |
234 ## run preset sparse tests. All should pass. | |
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235 function [passes, tests] = test_sparse |
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236 disp ("writing test output to sptest.log"); |
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237 test ("sparse.tst", "normal", "sptest.log"); |
5590 | 238 endfunction |
239 | |
240 EOF | |
241 else | |
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242 cat <<EOF |
5590 | 243 ## |
244 ## test_sprandom | |
245 ## | |
246 ## total_passes=0; total_tests=0; | |
247 ## for i=1:10 | |
248 ## [passes,tests] = sprandomtest; | |
249 ## total_passes += passes; | |
250 ## total_tests += tests; | |
251 ## end | |
252 ## The test log is appended to sprandomtest.log | |
253 function [passes,total] = test_sprandom | |
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254 warning ("untested --- fix the source in build-sparse-tests.sh"); |
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255 disp ("appending test output to sprandomtest.log"); |
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256 fid = fopen ("sprandomtest.log", "at"); |
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257 test ("sprandom.tst", "normal", fid); |
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258 ##[passes, total] = test ("sprandomtest", "normal", fid); |
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259 fclose (fid); |
5590 | 260 endfunction |
261 | |
262 EOF | |
263 fi | |
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264 |
5590 | 265 } |
266 | |
267 | |
268 # ======================================================= | |
269 # matrix ops | |
270 | |
271 # test ordered comparisons: uses as,af,bs,bf | |
272 gen_ordering_tests() { | |
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273 cat <<EOF |
5590 | 274 %% real values can be ordered (uses as,af) |
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275 %!assert (as<=bf, sparse (af<=bf)) |
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276 %!assert (bf<=as, sparse (bf<=af)) |
5590 | 277 |
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278 %!assert (as>=bf, sparse (af>=bf)) |
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279 %!assert (bf>=as, sparse (bf>=af)) |
5590 | 280 |
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281 %!assert (as<bf, sparse (af<bf)) |
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282 %!assert (bf<as, sparse (bf<af)) |
5590 | 283 |
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284 %!assert (as>bf, sparse (af>bf)) |
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285 %!assert (bf>as, sparse (bf>af)) |
5590 | 286 |
287 EOF | |
288 } | |
289 | |
290 gen_sparsesparse_ordering_tests() { | |
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291 cat <<EOF |
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292 %!assert (as<=bs, sparse (af<=bf)) |
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293 %!assert (as>=bs, sparse (af>=bf)) |
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294 %!assert (as<bs, sparse (af<bf)) |
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295 %!assert (as>bs, sparse (af>bf)) |
5590 | 296 EOF |
297 } | |
298 | |
299 # test element-wise binary operations: uses as,af,bs,bf,scalar | |
300 gen_elementop_tests() { | |
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301 cat <<EOF |
5590 | 302 %% Elementwise binary tests (uses as,af,bs,bf,scalar) |
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303 %!assert (as==bs, sparse (af==bf)) |
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304 %!assert (bf==as, sparse (bf==af)) |
5590 | 305 |
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306 %!assert (as!=bf, sparse (af!=bf)) |
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307 %!assert (bf!=as, sparse (bf!=af)) |
5590 | 308 |
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309 %!assert (as+bf, af+bf) |
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310 %!assert (bf+as, bf+af) |
5590 | 311 |
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312 %!assert (as-bf, af-bf) |
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313 %!assert (bf-as, bf-af) |
5590 | 314 |
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315 %!assert (as.*bf, sparse (af.*bf)) |
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316 %!assert (bf.*as, sparse (bf.*af)) |
5590 | 317 |
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318 %!assert (as./bf, sparse (af./bf), 100*eps) |
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319 %!assert (bf.\as, sparse (bf.\af), 100*eps) |
5590 | 320 |
321 %!test | |
322 %! sv = as.^bf; | |
323 %! fv = af.^bf; | |
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324 %! idx = find (af!=0); |
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325 %! assert (sv(:)(idx), sparse (fv(:)(idx)), 100*eps); |
5590 | 326 |
327 EOF | |
328 } | |
329 | |
330 gen_sparsesparse_elementop_tests() { | |
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331 cat <<EOF |
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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)) |
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336 %!assert (as.*bs, sparse (af.*bf)) |
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337 %!assert (as./bs, sparse (af./bf), 100*eps) |
5590 | 338 %!test |
339 %! sv = as.^bs; | |
340 %! fv = af.^bf; | |
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341 %! idx = find (af!=0); |
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342 %! assert(sv(:)(idx), sparse (fv(:)(idx)), 100*eps); |
5590 | 343 |
344 EOF | |
345 } | |
346 | |
347 # test matrix-matrix left and right division: uses as,af,bs,bf | |
348 gen_divop_tests() { | |
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349 cat <<EOF |
5590 | 350 %% Matrix-matrix operators (uses af,as,bs,bf) |
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351 %!assert (as/bf, af/bf, 100*eps) |
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352 %!assert (af/bs, af/bf, 100*eps) |
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353 %!assert (as/bs, sparse (af/bf), 100*eps) |
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354 %!assert (bs\af', bf\af', 100*eps) |
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355 %!assert (bf\as', bf\af', 100*eps) |
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356 %!assert (bs\as', sparse (bf\af'), 100*eps) |
5590 | 357 |
358 EOF | |
359 } | |
360 | |
361 # test matrix-matrix left and right division: uses as,af,bs,bf | |
362 gen_square_divop_tests() { | |
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363 cat <<EOF |
5590 | 364 %% Matrix-matrix operators (uses af,as,bs,bf) |
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365 %!assert (as/bf, af/bf, 100*eps) |
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366 %!assert (af/bs, af/bf, 100*eps) |
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367 %!assert (as/bs, sparse (af/bf), 100*eps) |
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368 %!assert (bs\af', bf\af', 100*eps) |
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369 %!assert (bf\as', bf\af', 100*eps) |
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370 %!assert (bs\as', sparse (bf\af'), 100*eps) |
5590 | 371 |
372 EOF | |
373 } | |
374 | |
375 # test matrix-matrix operations: uses as,af,bs,bf | |
376 gen_matrixop_tests() { | |
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377 cat <<EOF |
5590 | 378 %% Matrix-matrix operators (uses af,as,bs,bf) |
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379 %!assert (as*bf', af*bf') |
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380 %!assert (af*bs', af*bf') |
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381 %!assert (as*bs', sparse (af*bf')) |
5590 | 382 |
383 EOF | |
384 } | |
385 | |
386 # test diagonal operations | |
387 gen_matrixdiag_tests() { | |
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388 cat <<EOF |
5590 | 389 %% Matrix diagonal tests (uses af,as,bf,bs) |
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390 %!assert (diag (as), sparse (diag (af))) |
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391 %!assert (diag (bs), sparse (diag (bf))) |
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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,-1), sparse (diag (af,-1))) |
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395 %!assert (diag (bs,-1), sparse (diag (bf,-1))) |
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396 %!assert (diag (as(:)), sparse (diag (af(:)))) |
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397 %!assert (diag (as(:),1), sparse (diag (af(:),1))) |
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398 %!assert (diag (as(:),-1), sparse (diag (af(:),-1))) |
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399 %!assert (diag (as(:)'), sparse (diag (af(:)'))) |
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400 %!assert (diag (as(:)',1), sparse (diag (af(:)',1))) |
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401 %!assert (diag (as(:)',-1), sparse (diag (af(:)',-1))) |
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402 %!assert (spdiags (as,[0,1]), [diag(af,0), diag(af,1)]) |
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403 %!test |
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404 %! [tb,tc] = spdiags (as); |
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405 %! assert (spdiags (tb,tc,sparse (zeros (size (as)))), as); |
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406 %! assert (spdiags (tb,tc,rows (as),columns (as)), as); |
5590 | 407 |
408 EOF | |
409 } | |
410 | |
411 # test matrix reshape operations | |
412 gen_matrixreshape_tests() { | |
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413 cat <<EOF |
5590 | 414 %% Matrix diagonal tests (uses af,as,bf,bs) |
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415 %!assert (reshape (as,1,prod(size(as))), sparse (reshape (af,1,prod(size(af))))) |
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416 %!assert (reshape (as,prod(size(as)),1), sparse (reshape (af,prod(size(af)),1))) |
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417 %!assert (reshape (as,fliplr(size(as))), sparse (reshape (af,fliplr(size(af))))) |
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418 %!assert (reshape (bs,1,prod(size(as))), sparse (reshape (bf,1,prod(size(af))))) |
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419 %!assert (reshape (bs,prod(size(as)),1), sparse (reshape (bf,prod(size(af)),1))) |
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420 %!assert (reshape (bs,fliplr(size(as))), sparse (reshape (bf,fliplr(size(af))))) |
5590 | 421 |
422 EOF | |
423 } | |
424 | |
425 # test mapper matrix operations: uses as,af | |
426 print_mapper_test() { | |
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427 echo "%!assert ($1(as), sparse ($1(af)))" |
5590 | 428 } |
429 | |
430 print_real_mapper_test() { | |
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431 cat <<EOF |
5590 | 432 %!test |
5781 | 433 %! wn2s = warning ("query", "Octave:num-to-str"); |
434 %! warning ("off", "Octave:num-to-str"); | |
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435 %! if (isreal (af)) |
5953 | 436 %! if ($2) |
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437 %! assert ($1(as), sparse ($1(af))); |
5953 | 438 %! else |
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439 %! assert ($1(as), $1(af)); |
5953 | 440 %! endif |
5590 | 441 %! endif |
5781 | 442 %! warning (wn2s.state, "Octave:num-to-str"); |
5590 | 443 |
444 EOF | |
445 } | |
446 | |
447 gen_mapper_tests() { | |
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448 echo "%% Unary matrix tests (uses af,as)" |
5590 | 449 print_mapper_test abs |
450 print_mapper_test acos | |
451 print_mapper_test acosh | |
452 print_mapper_test angle | |
453 print_mapper_test arg | |
454 print_mapper_test asin | |
455 print_mapper_test asinh | |
456 print_mapper_test atan | |
457 print_mapper_test atanh | |
458 print_mapper_test ceil | |
459 print_mapper_test conj | |
460 print_mapper_test cos | |
461 print_mapper_test cosh | |
462 print_mapper_test exp | |
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463 print_mapper_test isfinite |
5590 | 464 print_mapper_test fix |
465 print_mapper_test floor | |
466 print_mapper_test imag | |
467 print_mapper_test isinf | |
468 print_mapper_test isna | |
469 print_mapper_test isnan | |
470 print_mapper_test log | |
471 #print_mapper_test log10 ## fails with different NaN, not a problem | |
472 print_mapper_test real | |
473 print_mapper_test round | |
474 print_mapper_test sign | |
475 print_mapper_test sin | |
476 print_mapper_test sinh | |
477 print_mapper_test sqrt | |
478 print_mapper_test tan | |
479 print_mapper_test tanh | |
480 | |
481 # Specific tests for certain mapper functions | |
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482 cat <<EOF |
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483 %!assert (issparse (abs (as)) && isreal (abs (as))) |
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484 %!assert (issparse (real (as)) && isreal (real (as))) |
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485 %!assert (issparse (imag (as)) && isreal (imag (as))) |
5590 | 486 |
487 EOF | |
488 } | |
489 | |
490 gen_real_mapper_tests() { | |
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491 echo "%% Unary matrix tests (uses af,as)" |
5953 | 492 print_real_mapper_test erf 1 |
493 print_real_mapper_test erfc 1 | |
494 #print_real_mapper_test gamma 1 | |
495 print_real_mapper_test isalnum 0 | |
496 print_real_mapper_test isalpha 0 | |
497 print_real_mapper_test isascii 0 | |
498 print_real_mapper_test iscntrl 0 | |
499 print_real_mapper_test isdigit 0 | |
500 print_real_mapper_test isgraph 0 | |
501 print_real_mapper_test islower 0 | |
502 print_real_mapper_test isprint 0 | |
503 print_real_mapper_test ispunct 0 | |
504 print_real_mapper_test isspace 0 | |
505 print_real_mapper_test isupper 0 | |
506 print_real_mapper_test isxdigit 0 | |
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507 #print_real_mapper_test gammaln 1 |
5590 | 508 |
509 # Specific tests for certain mapper functions | |
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510 cat <<EOF |
5590 | 511 |
512 %!test | |
5781 | 513 %! wn2s = warning ("query", "Octave:num-to-str"); |
514 %! warning ("off", "Octave:num-to-str"); | |
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515 %! if (isreal (af)) |
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516 %! assert (tolower (as), as); |
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517 %! assert (toupper (as), as); |
5590 | 518 %! endif |
5781 | 519 %! warning (wn2s.state, "Octave:num-to-str"); |
5590 | 520 |
521 EOF | |
522 } | |
523 | |
524 # test matrix operations: uses as,af | |
525 gen_unaryop_tests() { | |
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526 cat <<EOF |
5590 | 527 %% Unary matrix tests (uses af,as) |
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528 %!assert (issparse (as)) |
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529 %!assert (!issparse (af)) |
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530 %!assert (! (issparse (af) && iscomplex (af))) |
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531 %!assert (! (issparse (af) && isreal (af))) |
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532 %!assert (sum (as), sparse (sum (af))) |
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533 %!assert (sum (as,1), sparse (sum (af,1))) |
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534 %!assert (sum (as,2), sparse (sum (af,2))) |
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535 %!assert (cumsum (as), sparse (cumsum (af))) |
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536 %!assert (cumsum (as,1), sparse (cumsum (af,1))) |
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537 %!assert (cumsum (as,2), sparse (cumsum (af,2))) |
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538 %!assert (sumsq (as), sparse (sumsq (af))) |
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539 %!assert (sumsq (as,1), sparse (sumsq (af,1))) |
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540 %!assert (sumsq (as,2), sparse (sumsq (af,2))) |
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541 %!assert (prod (as), sparse (prod (af))) |
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542 %!assert (prod (as,1), sparse (prod (af,1))) |
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543 %!assert (prod (as,2), sparse (prod (af,2))) |
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544 %!assert (cumprod (as), sparse (cumprod (af))) |
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545 %!assert (cumprod (as,1), sparse (cumprod (af,1))) |
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546 %!assert (cumprod (as,2), sparse (cumprod (af,2))) |
5590 | 547 |
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548 %!assert (min (as), sparse (min (af))) |
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549 %!assert (full (min (as(:))), min (af(:))) |
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550 %!assert (min (as,[],1), sparse (min (af,[],1))) |
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551 %!assert (min (as,[],2), sparse (min (af,[],2))) |
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552 %!assert (min (as,[],1), sparse (min (af,[],1))) |
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553 %!assert (min (as,0), sparse (min (af,0))) |
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554 %!assert (min (as,bs), sparse (min (af,bf))) |
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555 %!assert (max (as), sparse (max (af))) |
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556 %!assert (full (max (as(:))), max (af(:))) |
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557 %!assert (max (as,[],1), sparse (max (af,[],1))) |
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558 %!assert (max (as,[],2), sparse (max (af,[],2))) |
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559 %!assert (max (as,[],1), sparse (max (af,[],1))) |
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560 %!assert (max (as,0), sparse (max (af,0))) |
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561 %!assert (max (as,bs), sparse (max (af,bf))) |
5590 | 562 |
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563 %!assert (as==as) |
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564 %!assert (as==af) |
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565 %!assert (af==as) |
5590 | 566 %!test |
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567 %! [ii,jj,vv,nr,nc] = find (as); |
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568 %! assert (af, full (sparse (ii,jj,vv,nr,nc))); |
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569 %!assert (nnz (as), sum (af(:)!=0)) |
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570 %!assert (nnz (as), nnz (af)) |
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571 %!assert (issparse (as.')) |
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572 %!assert (issparse (as')) |
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573 %!assert (issparse (-as)) |
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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 %!assert (-as, sparse (-af)) |
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578 %!assert (!as, sparse (!af)) |
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579 %!error [i,j] = size (af);as(i-1,j+1) |
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580 %!error [i,j] = size (af);as(i+1,j-1) |
5590 | 581 %!test |
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582 %! [Is,Js,Vs] = find (as); |
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583 %! [If,Jf,Vf] = find (af); |
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584 %! assert (Is, If); |
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585 %! assert (Js, Jf); |
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586 %! assert (Vs, Vf); |
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587 %!error as(0,1) |
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588 %!error as(1,0) |
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589 %!assert (find (as), find (af)) |
5590 | 590 %!test |
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591 %! [i,j,v] = find (as); |
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592 %! [m,n] = size (as); |
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593 %! x = sparse (i,j,v,m,n); |
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594 %! assert (x, as); |
5590 | 595 %!test |
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596 %! [i,j,v,m,n] = find (as); |
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597 %! x = sparse (i,j,v,m,n); |
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598 %! assert (x, as); |
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599 %!assert (issparse (horzcat (as,as))) |
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600 %!assert (issparse (vertcat (as,as))) |
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601 %!assert (issparse (cat (1,as,as))) |
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602 %!assert (issparse (cat (2,as,as))) |
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603 %!assert (issparse ([as,as])) |
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604 %!assert (issparse ([as;as])) |
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605 %!assert (horzcat (as,as), sparse ([af,af])) |
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606 %!assert (vertcat (as,as), sparse ([af;af])) |
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607 %!assert (horzcat (as,as,as), sparse ([af,af,af])) |
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608 %!assert (vertcat (as,as,as), sparse ([af;af;af])) |
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609 %!assert ([as,as], sparse ([af,af])) |
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610 %!assert ([as;as], sparse ([af;af])) |
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611 %!assert ([as,as,as], sparse ([af,af,af])) |
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612 %!assert ([as;as;as], sparse ([af;af;af])) |
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613 %!assert (cat (2,as,as), sparse ([af,af])) |
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614 %!assert (cat (1,as,as), sparse ([af;af])) |
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615 %!assert (cat (2,as,as,as), sparse ([af,af,af])) |
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616 %!assert (cat (1,as,as,as), sparse ([af;af;af])) |
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617 %!assert (issparse ([as,af])) |
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618 %!assert (issparse ([af,as])) |
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619 %!assert ([as,af], sparse ([af,af])) |
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620 %!assert ([as;af], sparse ([af;af])) |
5590 | 621 |
622 EOF | |
623 } | |
624 | |
625 # operations which require square matrices. | |
626 gen_square_tests() { | |
627 # The \ and / operator tests on square matrices | |
628 gen_square_divop_tests | |
629 | |
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630 cat <<EOF |
7243 | 631 %!testif HAVE_UMFPACK |
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632 %! assert(det(bs+speye(size(bs))), det(bf+eye(size(bf))), 100*eps*abs(det(bf+eye(size(bf))))); |
5590 | 633 |
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634 %!testif HAVE_UMFPACK |
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635 %! [l,u] = lu (sparse ([1,1;1,1])); |
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636 %! assert (l*u, [1,1;1,1], 10*eps); |
5590 | 637 |
7243 | 638 %!testif HAVE_UMFPACK |
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639 %! [l,u] = lu (sparse ([1,1;1,1+i])); |
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640 %! assert (l, sparse ([1,2,2],[1,1,2],1), 10*eps); |
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641 %! assert (u, sparse ([1,1,2],[1,2,2],[1,1,1i]), 10*eps); |
5590 | 642 |
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643 %!testif HAVE_UMFPACK # permuted LU |
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644 %! [L,U] = lu (bs); |
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645 %! assert (L*U, bs, 1e-10); |
5590 | 646 |
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647 %!testif HAVE_UMFPACK # simple LU + row permutations |
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648 %! [L,U,P] = lu (bs); |
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649 %! assert (P'*L*U, bs, 1e-10); |
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650 %! ## triangularity |
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651 %! [i,j,v] = find (L); |
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652 %! assert (i-j>=0); |
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653 %! [i,j,v] = find (U); |
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654 %! assert (j-i>=0); |
5590 | 655 |
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656 %!testif HAVE_UMFPACK # simple LU + row/col permutations |
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657 %! [L,U,P,Q] = lu (bs); |
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658 %! assert (P'*L*U*Q', bs, 1e-10); |
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659 %! ## triangularity |
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660 %! [i,j,v] = find (L); |
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661 %! assert (i-j>=0); |
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662 %! [i,j,v] = find (U); |
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663 %! assert (j-i>=0); |
5590 | 664 |
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665 %!testif HAVE_UMFPACK # LU with vector permutations |
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666 %! [L,U,P,Q] = lu (bs,'vector'); |
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667 %! assert (L(P,:)*U(:,Q), bs, 1e-10); |
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668 %! ## triangularity |
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669 %! [i,j,v] = find (L); |
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670 %! assert (i-j>=0); |
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671 %! [i,j,v] = find (U); |
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672 %! assert (j-i>=0); |
5590 | 673 |
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674 %!testif HAVE_UMFPACK # LU with scaling |
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675 %! [L,U,P,Q,R] = lu (bs); |
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676 %! assert (R*P'*L*U*Q', bs, 1e-10); |
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677 %! ## triangularity |
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678 %! [i,j,v] = find (L); |
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679 %! assert (i-j>=0); |
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680 %! [i,j,v] = find (U); |
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681 %! assert (j-i>=0); |
5590 | 682 |
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683 %!testif HAVE_UMFPACK # inverse |
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684 %! assert (inv (bs)*bs, sparse (eye (rows (bs))), 1e-10); |
5590 | 685 |
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686 %!assert (bf\as', bf\af', 100*eps) |
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687 %!assert (bs\af', bf\af', 100*eps) |
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688 %!assert (bs\as', sparse (bf\af'), 100*eps) |
5590 | 689 |
690 EOF | |
691 } | |
692 | |
693 # Cholesky tests | |
694 gen_cholesky_tests() { | |
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695 cat <<EOF |
7243 | 696 %!testif HAVE_CHOLMOD |
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697 %! assert (chol (bs)'*chol (bs), bs, 1e-10); |
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698 %!testif HAVE_CHOLMOD |
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699 %! assert (chol (bs,'lower')*chol (bs,'lower')', bs, 1e-10); |
7243 | 700 %!testif HAVE_CHOLMOD |
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701 %! assert (chol (bs,'lower'), chol (bs)', 1e-10); |
5590 | 702 |
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703 %!testif HAVE_CHOLMOD # Return Partial Cholesky factorization |
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704 %! [RS,PS] = chol (bs); |
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705 %! assert (RS'*RS, bs, 1e-10); |
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706 %! assert (PS, 0); |
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707 %! [LS,PS] = chol (bs,'lower'); |
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708 %! assert (LS*LS', bs, 1e-10); |
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709 %! assert (PS, 0); |
5590 | 710 |
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711 %!testif HAVE_CHOLMOD # Permuted Cholesky factorization |
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712 %! [RS,PS,QS] = chol (bs); |
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713 %! assert (RS'*RS, QS*bs*QS', 1e-10); |
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714 %! assert (PS, 0); |
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715 %! [LS,PS,QS] = chol (bs,'lower'); |
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716 %! assert (LS*LS', QS*bs*QS', 1e-10); |
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717 %! assert (PS, 0); |
5590 | 718 |
719 EOF | |
720 } | |
721 | |
722 # test scalar operations: uses af and real scalar bf; modifies as,bf,bs | |
723 gen_scalar_tests() { | |
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724 echo '%!test as = sparse (af);' |
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725 echo '%!test bs = bf;' |
5590 | 726 gen_elementop_tests |
727 gen_ordering_tests | |
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728 echo '%!test bf = bf+1i;' |
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729 echo '%!test bs = bf;' |
5590 | 730 gen_elementop_tests |
731 } | |
732 | |
733 # test matrix operations: uses af and bf; modifies as,bs | |
734 gen_rectangular_tests() { | |
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735 echo '%!test as = sparse(af);' |
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|
736 echo '%!test bs = sparse(bf);' |
5590 | 737 gen_mapper_tests |
738 gen_real_mapper_tests | |
739 gen_unaryop_tests | |
740 gen_elementop_tests | |
741 gen_sparsesparse_elementop_tests | |
742 gen_matrixop_tests | |
743 # gen_divop_tests # Disable rectangular \ and / for now | |
744 gen_matrixdiag_tests | |
745 gen_matrixreshape_tests | |
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746 cat <<EOF |
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|
747 %!testif HAVE_UMFPACK # permuted LU |
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748 %! [L,U] = lu (bs); |
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749 %! assert (L*U, bs, 1e-10); |
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|
750 |
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|
751 %!testif HAVE_UMFPACK # simple LU + row permutations |
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752 %! [L,U,P] = lu (bs); |
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753 %! assert (P'*L*U, bs, 1e-10); |
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754 %! ## triangularity |
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755 %! [i,j,v] = find (L); |
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756 %! assert (i-j>=0); |
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757 %! [i,j,v] = find (U); |
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758 %! assert (j-i>=0); |
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759 |
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760 %!testif HAVE_UMFPACK # simple LU + row/col permutations |
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761 %! [L,U,P,Q] = lu (bs); |
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762 %! assert (P'*L*U*Q', bs, 1e-10); |
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763 %! ## triangularity |
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764 %! [i,j,v] = find (L); |
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765 %! assert (i-j>=0); |
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766 %! [i,j,v] = find (U); |
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767 %! assert (j-i>=0); |
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768 |
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769 %!testif HAVE_UMFPACK # LU with vector permutations |
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770 %! [L,U,P,Q] = lu (bs,'vector'); |
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771 %! assert (L (P,:)*U (:,Q), bs, 1e-10); |
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772 %! ## triangularity |
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773 %! [i,j,v] = find (L); |
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774 %! assert (i-j>=0); |
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775 %! [i,j,v] = find (U); |
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776 %! assert (j-i>=0); |
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777 |
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778 %!testif HAVE_UMFPACK # LU with scaling |
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779 %! [L,U,P,Q,R] = lu (bs); |
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780 %! assert (R*P'*L*U*Q', bs, 1e-10); |
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781 %! ## triangularity |
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782 %! [i,j,v] = find (L); |
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783 %! assert (i-j>=0); |
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784 %! [i,j,v] = find (U); |
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785 %! assert (j-i>=0); |
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|
786 |
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|
787 EOF |
5590 | 788 } |
789 | |
790 | |
791 # ======================================================= | |
792 # sparse assembly tests | |
793 | |
794 gen_assembly_tests() { | |
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795 cat <<EOF |
5590 | 796 %%Assembly tests |
797 %!test | |
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798 %! m = max ([m;r(:)]); |
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799 %! n = max ([n;c(:)]); |
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800 %! funiq = fsum = zeros (m,n); |
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801 %! funiq(r(:) + m*(c(:)-1) ) = ones (size (r(:))); |
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802 %! funiq = sparse (funiq); |
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803 %! for k=1:length (r) |
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804 %! fsum(r(k),c(k)) += 1; |
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805 %! endfor |
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806 %! fsum = sparse (fsum); |
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807 %!assert (sparse (r,c,1), sparse (fsum(1:max(r), 1:max(c)))) |
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808 %!assert (sparse (r,c,1,"sum"), sparse (fsum(1:max (r),1:max (c)))) |
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809 %!assert (sparse (r,c,1,"unique"), sparse (funiq(1:max (r),1:max (c)))) |
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810 %!assert (sparse (r,c,1,m,n), sparse (fsum)) |
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811 %!assert (sparse (r,c,1,m,n,"sum"), sparse (fsum)) |
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812 %!assert (sparse (r,c,1,m,n,"unique"), sparse (funiq)) |
5590 | 813 |
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814 %!assert (sparse (r,c,1i), sparse (fsum(1:max (r),1:max (c))*1i)) |
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815 %!assert (sparse (r,c,1i,"sum"), sparse (fsum(1:max (r),1:max (c))*1i)) |
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816 %!assert (sparse (r,c,1i,"unique"), sparse (funiq(1:max (r),1:max (c))*1i)) |
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817 %!assert (sparse (r,c,1i,m,n), sparse (fsum*1i)) |
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818 %!assert (sparse (r,c,1i,m,n,"sum"), sparse (fsum*1i)) |
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819 %!assert (sparse (r,c,1i,m,n,"unique"), sparse (funiq*1i)) |
5590 | 820 |
821 %!test | |
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822 %! if (issparse (funiq)) |
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823 %! assert (sparse (full (1i*funiq)), sparse (1i*funiq)); |
5590 | 824 %! endif |
825 | |
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826 %!assert (sparse (full (funiq)), funiq) |
5590 | 827 |
828 | |
829 EOF | |
830 } | |
831 | |
832 # ======================================================= | |
833 # sparse selection tests | |
834 | |
7326 | 835 gen_scalar_select_tests () { |
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836 cat <<EOF |
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837 %!assert (sparse (42)([1,1]), sparse ([42,42])) |
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838 %!assert (sparse (42*1i)([1,1]), sparse ([42,42].*1i)) |
7326 | 839 EOF |
840 } | |
841 | |
5590 | 842 gen_select_tests() { |
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843 cat <<EOF |
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844 %!test as = sparse (af); |
5590 | 845 |
846 %% Point tests | |
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847 %!test idx = ridx(:) + rows (as) * (cidx (:)-1); |
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848 %!assert (sparse (as(idx)), sparse (af(idx))) |
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849 %!assert (as(idx), sparse (af(idx))) |
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850 %!assert (as(idx'), sparse (af(idx'))) |
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851 %!assert (as(flipud (idx(:))), sparse (af(flipud (idx(:))))) |
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852 %!assert (as([idx,idx]), sparse (af([idx,idx]))) |
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853 %!assert (as(reshape ([idx;idx], [1,length(idx),2])), sparse(af(reshape ([idx;idx], [1,length(idx),2])))) |
5590 | 854 |
855 %% Slice tests | |
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856 %!assert (as(ridx,cidx), sparse (af(ridx,cidx))) |
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857 %!assert (as(ridx,:), sparse (af(ridx,:))) |
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858 %!assert (as(:,cidx), sparse (af(:,cidx))) |
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859 %!assert (as(:,:), sparse (af(:,:))) |
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860 %!assert (as((rows (as):-1:1),:), sparse (af((size (af,1):-1:1),:))) |
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861 %!assert (as(:,(columns (as):-1:1)), sparse (af(:, (size (af,2):-1:1)))) |
5603 | 862 |
7322 | 863 %% Indexing tests |
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864 %!assert (full (as([1,1],:)), af([1,1],:)) |
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865 %!assert (full (as(:,[1,1])), af(:,[1,1])) |
7322 | 866 %!test |
867 %! [i,j,v] = find (as); | |
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868 %! assert (as(i(1),j(1))([1,1]), sparse ([v(1), v(1)])); |
7322 | 869 |
5603 | 870 %% Assignment test |
871 %!test | |
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872 %! ts = as; ts(:,:) = ts(fliplr (1:rows (as)),:); |
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873 %! tf = af; tf(:,:) = tf(fliplr (1:rows (af)),:); |
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874 %! assert (ts, sparse (tf)); |
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875 %!test |
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876 %! ts = as; ts(fliplr (1:rows (as)),:) = ts; |
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877 %! tf = af; tf(fliplr (1:rows (af)),:) = tf; |
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878 %! assert (ts, sparse (tf)); |
5603 | 879 %!test |
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880 %! ts = as; ts(:,fliplr (1:columns (as))) = ts; |
628f26e122d9
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881 %! tf = af; tf(:,fliplr (1:columns (af))) = tf; |
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882 %! assert (ts, sparse (tf)); |
5603 | 883 %!test |
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884 %! ts(fliplr (1:rows (as))) = as(:,1); |
628f26e122d9
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885 %! tf(fliplr (1:rows (af))) = af(:,1); |
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886 %! assert (ts, sparse (tf)); |
5603 | 887 |
888 %% Deletion tests | |
889 %!test | |
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890 %! ts = as; ts(1,:) = []; tf = af; tf(1,:) = []; |
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891 %! assert (ts, sparse (tf)); |
5603 | 892 %!test |
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893 %! ts = as; ts(:,1) = []; tf = af; tf(:,1) = []; |
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894 %! assert (ts, sparse (tf)); |
5590 | 895 |
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896 %% Test "end" keyword |
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|
897 %!assert (full (as(end)), af(end)) |
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898 %!assert (full (as(1,end)), af(1,end)) |
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899 %!assert (full (as(end,1)), af(end,1)) |
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900 %!assert (full (as(end,end)), af(end,end)) |
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901 %!assert (as(2:end,2:end), sparse (af(2:end,2:end))) |
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902 %!assert (as(1:end-1,1:end-1), sparse (af(1:end-1,1:end-1))) |
5590 | 903 EOF |
904 } | |
905 | |
906 # ======================================================= | |
907 # sparse save and load tests | |
908 | |
909 gen_save_tests() { | |
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910 cat <<EOF |
5590 | 911 %!test # save ascii |
19278
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912 %! savefile = tempname (); |
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913 %! as_save = as; |
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|
914 %! save ("-text", savefile, "bf", "as_save", "af"); |
5590 | 915 %! clear as_save; |
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916 %! load (savefile, "as_save"); |
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917 %! unlink (savefile); |
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918 %! assert (as_save, sparse (af)); |
5590 | 919 %!test # save binary |
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920 %! savefile = tempname (); |
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921 %! as_save = as; |
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922 %! save ("-binary", savefile, "bf", "as_save", "af"); |
5590 | 923 %! clear as_save; |
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924 %! load (savefile, "as_save"); |
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925 %! unlink (savefile); |
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926 %! assert (as_save, sparse (af)); |
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|
927 %!testif HAVE_HDF5 # save hdf5 |
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928 %! savefile = tempname (); |
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929 %! as_save = as; |
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930 %! save ("-hdf5", savefile, "bf", "as_save", "af"); |
5590 | 931 %! clear as_save; |
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932 %! load (savefile, "as_save"); |
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933 %! unlink (savefile); |
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|
934 %! assert (as_save, sparse (af)); |
22389
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|
935 ## FIXME: We should skip (or mark as a known bug) the test for |
8871 | 936 ## saving sparse matrices to MAT files when using 64-bit indexing since |
937 ## that is not implemented yet. | |
5590 | 938 %!test # save matlab |
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939 %! savefile = tempname (); |
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940 %! as_save = as; |
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941 %! save ("-mat", savefile, "bf", "as_save", "af"); |
5590 | 942 %! clear as_save; |
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943 %! load (savefile, "as_save"); |
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944 %! unlink (savefile); |
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945 %! assert (as_save, sparse (af)); |
5590 | 946 EOF |
947 } | |
948 | |
949 # ============================================================= | |
950 # Specific solver tests for matrices that will test all of the solver | |
951 # code. Uses alpha and beta | |
952 gen_solver_tests() { | |
953 | |
954 if $preset; then | |
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955 cat <<EOF |
5590 | 956 %! n=8; |
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957 %! lf=diag (1:n); lf(n-1,1)=0.5*alpha; lf(n,2)=0.25*alpha; ls=sparse (lf); |
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958 %! uf=diag (1:n); uf(1,n-1)=2*alpha; uf(2,n)=alpha; us=sparse (uf); |
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959 %! ts=spdiags (ones (n,3),-1:1,n,n) + diag (1:n); tf = full (ts); |
5590 | 960 EOF |
961 else | |
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|
962 cat <<EOF |
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963 %! n = floor (lognrnd (8,2)+1)'; |
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964 %! ls = tril (sprandn (8,8,0.2),-1).*alpha + n*speye (8); lf = full (ls); |
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965 %! us = triu (sprandn (8,8,0.2),1).*alpha + n*speye (8); uf = full (us); |
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966 %! ts = spdiags (randn (8,3),-1:1,8,8).*alpha; tf = full (ts); |
5590 | 967 EOF |
968 fi | |
969 | |
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970 cat <<EOF |
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971 %! df = diag (1:n).* alpha; ds = sparse (df); |
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972 %! pdf = df(randperm (n), randperm (n)); |
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973 %! pds = sparse (pdf); |
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974 %! plf = lf(randperm (n), randperm (n)); |
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975 %! pls = sparse (plf); |
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976 %! puf = uf(randperm (n), randperm (n)); |
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977 %! pus = sparse (puf); |
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978 %! bs = spdiags (repmat ([1:n]',1,4),-2:1,n,n).*alpha; |
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979 %! bf = full (bs); |
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980 %! cf = lf + lf'; cs = sparse (cf); |
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981 %! bcf = bf + bf'; bcs = sparse (bcf); |
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982 %! tcf = tf + tf'; tcs = sparse (tcf); |
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983 %! xf = diag (1:n) + fliplr (diag (1:n)).*beta; |
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984 %! xs = sparse (xf); |
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985 %!assert (ds\xf, df\xf, 1e-10) |
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986 %!assert (ds\xs, sparse (df\xf), 1e-10) |
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987 %!assert (pds\xf, pdf\xf, 1e-10) |
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988 %!assert (pds\xs, sparse (pdf\xf), 1e-10) |
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989 %!assert (ls\xf, lf\xf, 1e-10) |
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990 %!assert (sparse (ls\xs), sparse (lf\xf), 1e-10) |
7243 | 991 %!testif HAVE_UMFPACK |
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992 %! assert (pls\xf, plf\xf, 1e-10); |
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993 %!testif HAVE_UMFPACK |
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994 %! assert (sparse (pls\xs), sparse (plf\xf), 1e-10); |
21317
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995 %!assert (us\xf, uf\xf, 1e-10) |
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996 %!assert (sparse (us\xs), sparse (uf\xf), 1e-10) |
7243 | 997 %!testif HAVE_UMFPACK |
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998 %! assert (pus\xf, puf\xf, 1e-10); |
7243 | 999 %!testif HAVE_UMFPACK |
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1000 %! assert (sparse (pus\xs), sparse (puf\xf), 1e-10); |
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1001 %!assert (bs\xf, bf\xf, 1e-10) |
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1002 %!assert (sparse (bs\xs), sparse (bf\xf), 1e-10) |
7243 | 1003 %!testif HAVE_UMFPACK |
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1004 %! assert (cs\xf, cf\xf, 1e-10); |
7243 | 1005 %!testif HAVE_UMFPACK |
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1006 %! assert (sparse (cs\xs), sparse (cf\xf), 1e-10); |
7243 | 1007 %!testif HAVE_UMFPACK |
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1008 %! assert (bcs\xf, bcf\xf, 1e-10); |
7254 | 1009 %!testif HAVE_UMFPACK |
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1010 %! assert (sparse (bcs\xs), sparse (bcf\xf), 1e-10); |
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1011 %!assert (ts\xf, tf\xf, 1e-10) |
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1012 %!assert (sparse (ts\xs), sparse (tf\xf), 1e-10) |
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1013 %!assert (tcs\xf, tcf\xf, 1e-10) |
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1014 %!assert (sparse (tcs\xs), sparse (tcf\xf), 1e-10) |
5590 | 1015 |
1016 EOF | |
5610 | 1017 |
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1018 cat <<EOF |
5610 | 1019 %% QR solver tests |
1020 | |
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1021 %!function f (a, sz, feps) |
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1022 %! b = randn (sz); |
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1023 %! x = a \ b; |
5610 | 1024 %! assert (a * x, b, feps); |
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1025 %! b = randn (sz) + 1i*randn (sz); |
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1026 %! x = a \ b; |
5610 | 1027 %! assert (a * x, b, feps); |
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1028 %! b = sprandn (sz(1),sz(2),0.2); |
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1029 %! x = a \ b; |
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1030 %! assert (sparse (a * x), b, feps); |
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1031 %! b = sprandn (sz(1),sz(2),0.2) + 1i*sprandn (sz(1),sz(2),0.2); |
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1032 %! x = a \ b; |
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1033 %! assert (sparse (a * x), b, feps); |
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1034 %!endfunction |
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1035 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1036 %! a = alpha*sprandn (10,11,0.2) + speye (10,11); |
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1037 %! f (a,[10,2],1e-10); |
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1038 %! ## Test this by forcing matrix_type, as can't get a certain |
5630 | 1039 %! ## result for over-determined systems. |
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1040 %! a = alpha*sprandn (10,10,0.2) + speye (10,10); |
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1041 %! matrix_type (a, "Singular"); |
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1042 %! f (a,[10,2],1e-10); |
5610 | 1043 |
5630 | 1044 %% Rectanguar solver tests that don't use QR |
1045 | |
1046 %!test | |
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1047 %! ds = alpha * spdiags ([1:11]',0,10,11); |
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1048 %! df = full (ds); |
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1049 %! xf = beta * ones (10,2); |
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1050 %! xs = speye (10,10); |
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1051 %!assert (ds\xf, df\xf, 100*eps) |
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1052 %!assert (ds\xs, sparse (df\xs), 100*eps) |
5630 | 1053 %!test |
1054 %! pds = ds([2,1,3:10],:); | |
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1055 %! pdf = full (pds); |
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1056 %!assert (pds\xf, pdf\xf, 100*eps) |
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1057 %!assert (pds\xs, sparse (pdf\xs), 100*eps) |
5630 | 1058 %!test |
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1059 %! ds = alpha * spdiags ([1:11]',0,11,10); |
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1060 %! df = full (ds); |
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1061 %! xf = beta * ones (11,2); |
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1062 %! xs = speye (11,11); |
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1063 %!assert (ds\xf, df\xf, 100*eps) |
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1064 %!assert (ds\xs, sparse (df\xs), 100*eps) |
5630 | 1065 %!test |
1066 %! pds = ds([2,1,3:11],:); | |
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1067 %! pdf = full (pds); |
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1068 %!assert (pds\xf, pdf\xf, 100*eps) |
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1069 %!assert (pds\xs, sparse (pdf\xs), 100*eps) |
5630 | 1070 %!test |
1071 %! us = alpha*[[speye(10,10);sparse(1,10)],[[1,1];sparse(9,2);[1,1]]]; | |
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1072 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1073 %! assert (us*(us\xf), xf, 100*eps); |
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1074 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1075 %! assert (us*(us\xs), xs, 100*eps); |
5630 | 1076 %!test |
1077 %! pus = us(:,[2,1,3:12]); | |
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1078 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1079 %! assert (pus*(pus\xf), xf, 100*eps); |
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1080 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1081 %! assert (pus*(pus\xs), xs, 100*eps); |
5630 | 1082 %!test |
1083 %! us = alpha*[speye(11,9),[1;sparse(8,1);1;0]]; | |
7243 | 1084 %!testif HAVE_CXSPARSE |
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1085 %! [c,r] = qr (us, xf); |
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1086 %! assert (us\xf, r\c, 100*eps); |
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1087 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1088 %! [c,r] = qr (us, xs); |
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1089 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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1090 %! assert (us\xs, r\c, 100*eps); |
5630 | 1091 %!test |
1092 %! pus = us(:,[1:8,10,9]); | |
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1093 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1094 %! [c,r] = qr (pus, xf); |
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1095 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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1096 %! assert (pus\xf, r\c, 100*eps); |
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1097 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1098 %! [c,r] = qr (pus, xs); |
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1099 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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1100 %! assert (pus\xs, r\c, 100*eps); |
5630 | 1101 %!test |
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1102 %! ls = alpha*[speye(9,11);[1, sparse(1,8),1,0]]; |
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1103 %! xf = beta * ones (10,2); |
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1104 %! xs = speye (10,10); |
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1105 %!assert (ls*(ls\xf), xf, 100*eps) |
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1106 %!assert (ls*(ls\xs), xs, 100*eps) |
5630 | 1107 %!test |
1108 %! pls = ls([1:8,10,9],:); | |
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1109 %!assert (pls*(pls\xf), xf, 100*eps) |
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1110 %!assert (pls*(pls\xs), xs, 100*eps) |
5630 | 1111 %!test |
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1112 %! ls = alpha*[speye(10,10), sparse(10,1);[1;1], sparse(2,9),[1;1]]; |
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1113 %! xf = beta * ones (12,2); |
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1114 %! xs = speye (12,12); |
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1115 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1116 %! [c,r] = qr (ls, xf); |
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1117 %! assert (ls\xf, r\c, 100*eps); |
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1118 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1119 %! [c,r] = qr (ls, xs); |
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1120 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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1121 %! assert (ls\xs, r\c, 100*eps); |
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1122 %!test |
5630 | 1123 %! pls = ls(:,[1:8,10,9]); |
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1124 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1125 %! [c,r] = qr (pls, xf); |
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1126 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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1127 %! assert (pls\xf, r\c, 100*eps); |
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1128 %!testif HAVE_UMFPACK, HAVE_CXSPARSE |
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1129 %! [c,r] = qr (pls, xs); |
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1130 %! r = matrix_type (r, "Singular"); ## Force Matrix Type |
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1131 %! assert (pls\xs, r\c, 100*eps); |
5630 | 1132 |
5610 | 1133 EOF |
5590 | 1134 } |
1135 | |
1136 | |
1137 # ============================================================= | |
1138 # Putting it all together: defining the combined tests | |
1139 | |
1140 | |
1141 # initial function | |
1142 gen_function | |
1143 gen_section | |
1144 | |
1145 # specific tests | |
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1146 if $preset; then |
5590 | 1147 gen_specific_tests |
1148 gen_section | |
1149 fi | |
1150 | |
1151 # scalar operations | |
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1152 echo '%!shared as,af,bs,bf' |
5590 | 1153 if $preset; then |
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1154 echo '%!test af=[1+1i,2-1i,0,0;0,0,0,3+2i;0,0,0,4];' |
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1155 echo '%!test bf=3;' |
5590 | 1156 else |
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1157 cat <<EOF |
5590 | 1158 %!test |
1159 %! % generate m,n from 1 to <5000 | |
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1160 %! m = floor (lognrnd (8,2)+1); |
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1161 %! n = floor (lognrnd (8,2)+1); |
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1162 %! as = sprandn (m,n,0.3); |
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1163 %! af = full (as + 1i*sprandn (as)); |
5590 | 1164 %! bf = randn; |
1165 EOF | |
1166 fi | |
1167 | |
1168 gen_scalar_tests | |
1169 gen_section | |
1170 | |
1171 # rectangular operations | |
1172 if $preset; then | |
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1173 echo '%!test af=[1+1i,2-1i,0,0;0,0,0,3+2i;0,0,0,4];' |
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1174 echo '%!test bf=[0,1-1i,0,0;2+1i,0,0,0;3-1i,2+3i,0,0];' |
5590 | 1175 else |
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1176 cat <<EOF |
5590 | 1177 %!test |
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1178 %! m = floor (lognrnd (8,2)+1); |
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1179 %! n = floor (lognrnd (8,2)+1); |
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1180 %! as = sprandn (m,n,0.3); |
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1181 %! af = full (as + 1i*sprandn (as)); |
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1182 %! bs = sprandn (m,n,0.3); |
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1183 %! bf = full (bs + 1i*sprandn (bs)); |
5590 | 1184 EOF |
1185 fi | |
1186 | |
1187 gen_rectangular_tests | |
1188 gen_section | |
1189 gen_save_tests | |
1190 gen_section | |
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1191 echo '%!test bf = real (bf);' |
5590 | 1192 gen_rectangular_tests |
1193 gen_section | |
1194 gen_sparsesparse_ordering_tests | |
1195 gen_section | |
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1196 echo '%!test af = real (af);' |
5590 | 1197 gen_rectangular_tests |
1198 gen_section | |
1199 gen_save_tests | |
1200 gen_section | |
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1201 echo '%!test bf = bf+1i*(bf!=0);' |
5590 | 1202 gen_rectangular_tests |
1203 gen_section | |
1204 | |
1205 # square operations | |
1206 if $preset; then | |
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1207 echo '%!test af = [1+1i,2-1i,0,0;0,0,0,3+2i;0,0,0,4];' |
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1208 echo '%! as = sparse (af);' |
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1209 echo '%!test bf = [0,1-1i,0,0;2+1i,0,0,0;3-1i,2+3i,0,0];' |
5590 | 1210 else |
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1211 cat <<EOF |
5590 | 1212 %!test |
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1213 %! m = floor (lognrnd (8,2)+1); |
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1214 %! n = floor (lognrnd (8,2)+1); |
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1215 %! as = sprandn (m,n,0.3); |
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1216 %! af = full (as + 1i*sprandn (as)); |
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1217 %! bs = sprandn (m,n,0.3); |
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1218 %! bf = full (bs + 1i*sprandn (bs)); |
5590 | 1219 EOF |
1220 fi | |
1221 | |
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1222 cat <<EOF |
5590 | 1223 %!test ;# invertible matrix |
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1224 %! bf = af'*bf+max (abs ([af(:);bf(:)]))*sparse (eye (columns (as))); |
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1225 %! bs = sparse (bf); |
5590 | 1226 |
1227 EOF | |
1228 | |
1229 gen_square_tests | |
1230 gen_section | |
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1231 echo '%!test bf = real (bf);' |
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1232 echo '%! bs = sparse (bf);' |
5590 | 1233 gen_square_tests |
1234 gen_section | |
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1235 echo '%!test af = real (af);' |
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1236 echo '%! as = sparse (af);' |
5590 | 1237 gen_square_tests |
1238 gen_section | |
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1239 echo '%!test bf = bf+1i*(bf!=0);' |
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1240 echo '%! bs = sparse (bf);' |
5590 | 1241 gen_square_tests |
1242 gen_section | |
1243 | |
1244 # cholesky tests | |
1245 if $preset; then | |
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1246 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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1247 echo '%! bs = sparse (bf);' |
5590 | 1248 else |
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1249 echo '# This has a small chance of failing to create a positive definite matrix' |
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1250 echo '%!test n = floor (lognrnd (8,2)+1)' |
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1251 echo '%! bs = n*speye (n,n) + sprandn (n,n,0.3);' |
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1252 echo '%! bf = full (bs);' |
5590 | 1253 fi |
1254 | |
1255 gen_cholesky_tests | |
1256 gen_section | |
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1257 echo '%!test bf = real (bf);' |
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1258 echo '%! bs = sparse (bf);' |
5590 | 1259 gen_cholesky_tests |
1260 gen_section | |
1261 | |
1262 # assembly tests | |
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1263 echo '%!shared r,c,m,n,fsum,funiq' |
5590 | 1264 if $use_preset; then |
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1265 cat <<EOF |
5590 | 1266 %!test |
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1267 %! r = [1,1,2,1,2,3]; |
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1268 %! c = [2,1,1,1,2,1]; |
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1269 %! m = n = 0; |
5590 | 1270 EOF |
1271 else | |
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1272 cat <<EOF |
5590 | 1273 %!test |
1274 %! % generate m,n from 1 to <5000 | |
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1275 %! m = floor (lognrnd (8,2)+1); |
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1276 %! n = floor (lognrnd (8,2)+1); |
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1277 %! nz = ceil ((m+n)/2); |
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1278 %! r = floor (rand (5,nz)*n)+1; |
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1279 %! c = floor (rand (5,nn)*m)+1; |
5590 | 1280 EOF |
1281 fi | |
1282 gen_assembly_tests #includes real and complex tests | |
1283 gen_section | |
1284 | |
1285 # slicing tests | |
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1286 echo '%!shared ridx,cidx,idx,as,af' |
5590 | 1287 if $use_preset; then |
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1288 cat <<EOF |
5590 | 1289 %!test |
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1290 %! af = [1+1i,2-1i,0,0;0,0,0,3+2i;0,0,0,4]; |
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1291 %! ridx = [1,3]; |
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1292 %! cidx = [2,3]; |
5590 | 1293 EOF |
1294 else | |
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1295 cat <<EOF |
5590 | 1296 %!test |
1297 %! % generate m,n from 1 to <5000 | |
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1298 %! m = floor (lognrnd (8,2)+1); |
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1299 %! n = floor (lognrnd (8,2)+1); |
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1300 %! as = sprandn (m,n,0.3); |
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1301 %! af = full (as + 1i*sprandn (as)); |
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1302 %! ridx = ceil (m*rand (1,ceil (rand*m)); |
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1303 %! cidx = ceil (n*rand (1,ceil (rand*n)); |
5590 | 1304 EOF |
1305 fi | |
7326 | 1306 gen_scalar_select_tests |
5590 | 1307 gen_select_tests |
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1308 echo '%!test af = real (af);' |
5590 | 1309 gen_select_tests |
1310 gen_section | |
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1311 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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1312 echo '%!test alpha=1; beta=1;' |
5590 | 1313 gen_solver_tests |
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1314 echo '%!test alpha=1; beta=1i;' |
5590 | 1315 gen_solver_tests |
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1316 echo '%!test alpha=1i; beta=1;' |
5590 | 1317 gen_solver_tests |
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1318 echo '%!test alpha=1i; beta=1i;' |
5590 | 1319 gen_solver_tests |
1320 gen_section |