t_mplinsolve

T_MPLINSOLVE  Tests of MIPS/MATPOWER linear solvers.

0001 function t_mplinsolve(quiet)
0002 %T_MPLINSOLVE  Tests of MIPS/MATPOWER linear solvers.
0003 
0004 %   MIPS
0005 %   Copyright (c) 2015 by Power System Engineering Research Center (PSERC)
0006 %   by Ray Zimmerman, PSERC Cornell
0007 %
0008 %   $Id: t_mplinsolve.m 2660 2015-03-20 02:10:18Z ray $
0009 %
0010 %   This file is part of MIPS.
0011 %   Covered by the 3-clause BSD License (see LICENSE file for details).
0012 %   See http://www.pserc.cornell.edu/matpower/ for more info.
0013 
0014 if nargin < 1
0015     quiet = 0;
0016 end
0017 
0018 t_begin(4, quiet);
0019 
0020 ijs = [
0021     1 1 1205.63;
0022     4 1 -1205.63;
0023     25 1 17.3611;
0024     28 1 -17.3611;
0025     43 1 1;
0026     2 2 1024;
0027     8 2 -1024;
0028     26 2 16;
0029     32 2 -16;
0030     3 3 1164.84;
0031     6 3 -1164.84;
0032     27 3 17.0648;
0033     30 3 -17.0648;
0034     1 4 -1205.63;
0035     4 4 2201.34;
0036     5 4 -453.695;
0037     9 4 -542.009;
0038     13 4 0.776236;
0039     14 4 -0.451721;
0040     18 4 -0.324515;
0041     25 4 -17.3611;
0042     28 4 39.4759;
0043     29 4 -10.5107;
0044     33 4 -11.6041;
0045     37 4 -3.30738;
0046     38 4 1.94219;
0047     42 4 1.36519;
0048     4 5 -453.695;
0049     5 5 581.372;
0050     6 5 -127.677;
0051     13 5 -0.451721;
0052     14 5 0.568201;
0053     15 5 -0.11648;
0054     28 5 -10.5107;
0055     29 5 16.0989;
0056     30 5 -5.58824;
0057     37 5 1.94219;
0058     38 5 -3.2242;
0059     39 5 1.28201;
0060     3 6 -1164.84;
0061     5 6 -127.677;
0062     6 6 1676.74;
0063     7 6 -384.227;
0064     14 6 -0.11648;
0065     15 6 0.163059;
0066     16 6 -0.0465791;
0067     27 6 -17.0648;
0068     29 6 -5.58824;
0069     30 6 32.4374;
0070     31 6 -9.78427;
0071     38 6 1.28201;
0072     39 6 -2.4371;
0073     40 6 1.15509;
0074     6 7 -384.227;
0075     7 7 1141.16;
0076     8 7 -756.935;
0077     15 7 -0.0465791;
0078     16 7 0.371828;
0079     17 7 -0.325249;
0080     30 7 -9.78427;
0081     31 7 23.4822;
0082     32 7 -13.698;
0083     39 7 1.15509;
0084     40 7 -2.77221;
0085     41 7 1.61712;
0086     2 8 -1024;
0087     7 8 -756.935;
0088     8 8 1925.77;
0089     9 8 -144.836;
0090     16 8 -0.325249;
0091     17 8 0.844105;
0092     18 8 -0.518855;
0093     26 8 -16;
0094     31 8 -13.698;
0095     32 8 35.6731;
0096     33 8 -5.97513;
0097     40 8 1.61712;
0098     41 8 -2.80473;
0099     42 8 1.1876;
0100     4 9 -542.009;
0101     8 9 -144.836;
0102     9 9 686.845;
0103     13 9 -0.324515;
0104     17 9 -0.518855;
0105     18 9 0.84337;
0106     28 9 -11.6041;
0107     32 9 -5.97513;
0108     33 9 17.5792;
0109     37 9 1.36519;
0110     41 9 1.1876;
0111     42 9 -2.55279;
0112     10 10 1207.63;
0113     13 10 -1205.63;
0114     34 10 17.3611;
0115     37 10 -17.3611;
0116     11 11 1026;
0117     17 11 -1024;
0118     35 11 16;
0119     41 11 -16;
0120     12 12 1166.84;
0121     15 12 -1164.84;
0122     36 12 17.0648;
0123     39 12 -17.0648;
0124     4 13 0.776236;
0125     5 13 -0.451721;
0126     9 13 -0.324515;
0127     10 13 -1205.63;
0128     13 13 2190.83;
0129     14 13 -447.892;
0130     18 13 -535.137;
0131     28 13 3.30738;
0132     29 13 -1.94219;
0133     33 13 -1.36519;
0134     34 13 -17.3611;
0135     37 13 39.1419;
0136     38 13 -10.5107;
0137     42 13 -11.6041;
0138     4 14 -0.451721;
0139     5 14 0.568201;
0140     6 14 -0.11648;
0141     13 14 -447.892;
0142     14 14 573.221;
0143     15 14 -122.862;
0144     28 14 -1.94219;
0145     29 14 3.2242;
0146     30 14 -1.28201;
0147     37 14 -10.5107;
0148     38 14 15.5829;
0149     39 14 -5.58824;
0150     5 15 -0.11648;
0151     6 15 0.163059;
0152     7 15 -0.0465791;
0153     12 15 -1164.84;
0154     14 15 -122.862;
0155     15 15 1669.87;
0156     16 15 -379.651;
0157     29 15 -1.28201;
0158     30 15 2.4371;
0159     31 15 -1.15509;
0160     36 15 -17.0648;
0161     38 15 -5.58824;
0162     39 15 31.8704;
0163     40 15 -9.78427;
0164     6 16 -0.0465791;
0165     7 16 0.371828;
0166     8 16 -0.325249;
0167     15 16 -379.651;
0168     16 16 1131.92;
0169     17 16 -750.073;
0170     30 16 -1.15509;
0171     31 16 2.77221;
0172     32 16 -1.61712;
0173     39 16 -9.78427;
0174     40 16 23.1242;
0175     41 16 -13.698;
0176     7 17 -0.325249;
0177     8 17 0.844105;
0178     9 17 -0.518855;
0179     11 17 -1024;
0180     16 17 -750.073;
0181     17 17 1914.92;
0182     18 17 -138.499;
0183     31 17 -1.61712;
0184     32 17 2.80473;
0185     33 17 -1.1876;
0186     35 17 -16;
0187     40 17 -13.698;
0188     41 17 35.2181;
0189     42 17 -5.97513;
0190     4 18 -0.324515;
0191     8 18 -0.518855;
0192     9 18 0.84337;
0193     13 18 -535.137;
0194     17 18 -138.499;
0195     18 18 676.012;
0196     28 18 -1.36519;
0197     32 18 -1.1876;
0198     33 18 2.55279;
0199     37 18 -11.6041;
0200     41 18 -5.97513;
0201     42 18 17.0972;
0202     19 19 1.88667;
0203     25 19 -1;
0204     20 20 1.54931;
0205     26 20 -1;
0206     21 21 1.78346;
0207     27 21 -1;
0208     22 22 0.666667;
0209     34 22 -1;
0210     23 23 0.666667;
0211     35 23 -1;
0212     24 24 0.666667;
0213     36 24 -1;
0214     1 25 17.3611;
0215     4 25 -17.3611;
0216     19 25 -1;
0217     2 26 16;
0218     8 26 -16;
0219     20 26 -1;
0220     3 27 17.0648;
0221     6 27 -17.0648;
0222     21 27 -1;
0223     1 28 -17.3611;
0224     4 28 39.4759;
0225     5 28 -10.5107;
0226     9 28 -11.6041;
0227     13 28 3.30738;
0228     14 28 -1.94219;
0229     18 28 -1.36519;
0230     4 29 -10.5107;
0231     5 29 16.0989;
0232     6 29 -5.58824;
0233     13 29 -1.94219;
0234     14 29 3.2242;
0235     15 29 -1.28201;
0236     3 30 -17.0648;
0237     5 30 -5.58824;
0238     6 30 32.4374;
0239     7 30 -9.78427;
0240     14 30 -1.28201;
0241     15 30 2.4371;
0242     16 30 -1.15509;
0243     6 31 -9.78427;
0244     7 31 23.4822;
0245     8 31 -13.698;
0246     15 31 -1.15509;
0247     16 31 2.77221;
0248     17 31 -1.61712;
0249     2 32 -16;
0250     7 32 -13.698;
0251     8 32 35.6731;
0252     9 32 -5.97513;
0253     16 32 -1.61712;
0254     17 32 2.80473;
0255     18 32 -1.1876;
0256     4 33 -11.6041;
0257     8 33 -5.97513;
0258     9 33 17.5792;
0259     13 33 -1.36519;
0260     17 33 -1.1876;
0261     18 33 2.55279;
0262     10 34 17.3611;
0263     13 34 -17.3611;
0264     22 34 -1;
0265     11 35 16;
0266     17 35 -16;
0267     23 35 -1;
0268     12 36 17.0648;
0269     15 36 -17.0648;
0270     24 36 -1;
0271     4 37 -3.30738;
0272     5 37 1.94219;
0273     9 37 1.36519;
0274     10 37 -17.3611;
0275     13 37 39.1419;
0276     14 37 -10.5107;
0277     18 37 -11.6041;
0278     4 38 1.94219;
0279     5 38 -3.2242;
0280     6 38 1.28201;
0281     13 38 -10.5107;
0282     14 38 15.5829;
0283     15 38 -5.58824;
0284     5 39 1.28201;
0285     6 39 -2.4371;
0286     7 39 1.15509;
0287     12 39 -17.0648;
0288     14 39 -5.58824;
0289     15 39 31.8704;
0290     16 39 -9.78427;
0291     6 40 1.15509;
0292     7 40 -2.77221;
0293     8 40 1.61712;
0294     15 40 -9.78427;
0295     16 40 23.1242;
0296     17 40 -13.698;
0297     7 41 1.61712;
0298     8 41 -2.80473;
0299     9 41 1.1876;
0300     11 41 -16;
0301     16 41 -13.698;
0302     17 41 35.2181;
0303     18 41 -5.97513;
0304     4 42 1.36519;
0305     8 42 1.1876;
0306     9 42 -2.55279;
0307     13 42 -11.6041;
0308     17 42 -5.97513;
0309     18 42 17.0972;
0310     1 43 1;
0311 ];
0312 A = sparse(ijs(:, 1), ijs(:, 2), ijs(:, 3));
0313 b = [
0314     0;
0315     0;
0316     0;
0317     0;
0318     0;
0319     0;
0320     0;
0321     0;
0322     0;
0323     0;
0324     0;
0325     0;
0326     -0.00896054;
0327     -0.0617829;
0328     -0.0772931;
0329     -0.0230638;
0330     -0.0185934;
0331     -0.02;
0332     -0.336;
0333     -0.2755;
0334     -0.353;
0335     0;
0336     0;
0337     0;
0338     1.3;
0339     1.55;
0340     1.4;
0341     0;
0342     -0.9;
0343     0;
0344     -1;
0345     0;
0346     -1.25;
0347     0;
0348     0;
0349     0;
0350     0.167;
0351     -0.042;
0352     0.2835;
0353     -0.171;
0354     0.2275;
0355     -0.259;
0356     0;
0357 ];
0358 ex = [
0359 0;
0360 0.04612219791119214;
0361 0.0509334351882598;
0362 -0.05953571031927305;
0363 -0.09461814898578046;
0364 -0.008909854578010561;
0365 -0.05785829019394401;
0366 -0.02232729212460287;
0367 -0.1137760871247425;
0368 -0.03062777824802364;
0369 -0.01013282572376477;
0370 -0.005330939680091628;
0371 -0.02914165388753019;
0372 -0.03376073204420303;
0373 4.021341450281111e-05;
0374 -0.01727289094763518;
0375 -0.008382063634320435;
0376 -0.04854008812629265;
0377 -0.2663945795760685;
0378 -0.4548081594272799;
0379 -0.3787862287965494;
0380 -0.02580075363496279;
0381 -0.02801219343110931;
0382 -0.09165765332863518;
0383 -0.1665986614487812;
0384 -0.4291388294822789;
0385 -0.3225500876094941;
0386 3.967864472606993;
0387 5.577372159790927;
0388 3.762341481664236;
0389 5.858342308599034;
0390 3.951628532808602;
0391 6.471657726723339;
0392 -0.01720051102355974;
0393 -0.01867480495813735;
0394 -0.06110513277164123;
0395 -0.1239317474796463;
0396 -0.1848327901217308;
0397 -0.4283638085291988;
0398 0.07640167050820651;
0399 -0.1319901818980452;
0400 0.4366406661538687;
0401 0.0007894844305239289;
0402 ];
0403 
0404 t = '''''';
0405 x = mplinsolve(A, b, '', []);
0406 t_is(x, ex, 13, t);
0407 
0408 t = '\';
0409 x = mplinsolve(A, b, '\', []);
0410 t_is(x, ex, 13, t);
0411 
0412 t = 'PARDISO';
0413 if have_fcn('pardiso')
0414     x = mplinsolve(A, b, 'PARDISO', struct('solver', 0));
0415     t_is(x, ex, 13, [t ' : direct']);
0416 
0417     [x, info] = mplinsolve(A, b, 'PARDISO', struct('solver', 1));
0418     t_is(x, ex, 1, [t ' : iterative']);
0419 else
0420     t_skip(2, [t ' not available']);
0421 end
0422 
0423 t_end;