-
Notifications
You must be signed in to change notification settings - Fork 3
/
t_opt_model.m
1856 lines (1649 loc) · 73.1 KB
/
t_opt_model.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
function t_opt_model(quiet)
% t_opt_model - Tests for opt_model.
% MP-Opt-Model
% Copyright (c) 2012-2024, Power Systems Engineering Research Center (PSERC)
% by Ray Zimmerman, PSERC Cornell
%
% This file is part of MP-Opt-Model.
% Covered by the 3-clause BSD License (see LICENSE file for details).
% See https://github.com/MATPOWER/mp-opt-model for more info.
if nargin < 1
quiet = 0;
end
num_tests = 699;
t_begin(num_tests, quiet);
%%----- opt_model -----
t = 'constructor';
om = opt_model;
t_ok(isa(om, 'opt_model'), t);
%%----- add_var -----
t = 'add_var';
vN = 0;
vNS = 0;
om.init_set_types();
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.add_var(''Va'', 4)';
nVa = 4;
om = opt_model;
om.add_var('Va', nVa);
vNS = vNS + 1; vN = vN + nVa;
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.add_var(''Pg'', 3, Pg0, Pgmin, Pgmax)';
nPg = 3;
om.add_var('Pg', nPg, [2;4;6], [1;2;3], [10;20;30]);
vNS = vNS + 1; vN = vN + nPg;
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.add_var(''Vm1'', 5, V0, Vmin, Vmax, ''I'')';
V0 = 1; %% should get expanded to ones(5, 1)
Vmin = 0; %% should get expanded to zeros(5, 1)
Vmax = 1 + 0.01*(1:5)';
vt = 'I';
om.add_var('Vm1', 5, V0, Vmin, Vmax, vt);
vNS = vNS + 1; vN = vN + 5;
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.add_var(''Vm2'', 5, V0, Vmin, Vmax, ''CIBIC'')';
nVm2 = 5;
vt = 'CIBIC';
om.add_var('Vm2', nVm2, V0, Vmin, Vmax, vt);
vNS = vNS + 1; vN = vN + nVm2;
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.init_indexed_name(''var'', ''x'', dims)';
om.init_indexed_name('var', 'x', {2,2});
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.add_var(''x'', {1,1}, 2)';
om.add_var('x', {1,1}, 2);
vNS = vNS + 1; vN = vN + 2;
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.add_var(''x'', {1,2}, 2, x0(1,2))';
om.add_var('x', {1,2}, 2, [-1;-2]);
vNS = vNS + 1; vN = vN + 2;
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.add_var(''x'', {2,1}, 3)';
om.add_var('x', {2,1}, 3);
vNS = vNS + 1; vN = vN + 3;
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.add_var(''x'', {2,2}, 2, x0(2,2), xmin(2,2), xmax(2,2))';
om.add_var('x', {2,2}, 2, [1;0],[0;-1],[2;1]);
vNS = vNS + 1; vN = vN + 2;
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
t = 'om.init_indexed_name(''var'', ''y'', {2,3,4})';
om.init_indexed_name('var', 'y', {2,3,4});
vt0 = {'C', 'I', 'B'};
for i = 1:2
for j = 1:3
for k = 1:4
n = i+j+k;
if i == 1
vt = vt0{j};
else
vt = char(vt0{j} * ones(1, n));
vt(j+1) = vt0{1+rem(j,3)};
end
% fprintf('%d %d %d : %s\n', i, j, k, vt);
t = sprintf('om.add_var(''y'', {%d,%d,%d}, y0, ymin, ymax, vt)', i,j,k);
om.add_var('y', {i,j,k}, n, 10*(n:-1:1)', -1*(n:-1:1)', 100+(n:-1:1)', vt);
vNS = vNS + 1; vN = vN + n;
t_ok(om.getN('var') == vN, sprintf('%s : var.N = %d', t, vN));
t_ok(om.get('var', 'NS') == vNS, sprintf('%s : var.NS = %d', t, vNS));
end
end
end
%%----- getN -----
t = 'om.getN(''var'', ''Pg'') == 3';
t_ok(om.getN('var', 'Pg') == 3, t);
t = 'size(om.getN(''var'', ''x'')) == [2 2]';
t_is(size(om.getN('var', 'x')), [2,2], 14, t);
t = 'om.getN(''var'', ''x'')(1,2) == 2';
N = om.getN('var', 'x');
t_is(N(1,2), 2, 14, t);
t = 'om.getN(''var'', ''x'', {2,1}) == 3';
t_is(om.getN('var', 'x', {2,1}), 3, 14, t);
t = 'om.getN(''var'', ''y'', {2,1,3}) == 6';
t_is(om.getN('var', 'y', {2,1,3}), 6, 14, t);
t = 'om.getN(''var'')';
t_is(om.getN('var'), vN, 14, t);
%%----- get_idx -----
t = 'get_idx : var';
vv = om.get_idx();
t_is([vv.i1.Pg vv.iN.Pg vv.N.Pg], [5 7 3], 14, [t ' : Pg']);
t_is(size(vv.i1.x), [2, 2], 14, [t ' : size(vv.i1.x)']);
t_is([vv.i1.x(2,1) vv.iN.x(2,1) vv.N.x(2,1)], [22 24 3], 14, [t ' : x(2,1)']);
t_is(size(vv.i1.y), [2, 3, 4], 14, [t ' : size(vv.i1.y)']);
t_is([vv.i1.y(2,2,4) vv.iN.y(2,2,4) vv.N.y(2,2,4)], [133 140 8], 14, [t ' : y(2,2,4)']);
t = 'get_idx(''var'')';
vv = om.get_idx('var');
t_is([vv.i1.Pg vv.iN.Pg vv.N.Pg], [5 7 3], 14, [t ' : Pg']);
t_is(size(vv.i1.x), [2, 2], 14, [t ' : size(vv.i1.x)']);
t_is([vv.i1.x(2,1) vv.iN.x(2,1) vv.N.x(2,1)], [22 24 3], 14, [t ' : x(2,1)']);
t_is(size(vv.i1.y), [2, 3, 4], 14, [t ' : size(vv.i1.y)']);
t_is([vv.i1.y(2,2,4) vv.iN.y(2,2,4) vv.N.y(2,2,4)], [133 140 8], 14, [t ' : y(2,2,4)']);
%%----- params_var -----
t = 'om.params_var(''Va'')';
[v0, vl, vu] = om.params_var('Va');
t_ok(~any(v0), [t ' : v0']);
t_ok(all(isinf(vl) & vl < 0), [t ' : vl']);
t_ok(all(isinf(vu) & vu > 0), [t ' : vu']);
t = 'om.params_var(''Pg'')';
[v0, vl, vu] = om.params_var('Pg');
t_is(v0, [2;4;6], 14, [t ' : v0']);
t_is(vl, [1;2;3], 14, [t ' : vl']);
t_is(vu, [10;20;30], 14, [t ' : vu']);
t = 'om.params_var(''Vm1'')';
[v0, vl, vu, vt] = om.params_var('Vm1');
t_is(double(vt), double('I'), 14, [t ' : vt']);
t = 'om.params_var(''Vm2'')';
[v0, vl, vu, vt] = om.params_var('Vm2');
t_is(double(vt), double('CIBIC'), 14, [t ' : vt']);
t = 'om.params_var(''x'')';
[v0, vl, vu, vt] = om.params_var('x');
t_is(size(v0), [2,2], 14, [t ' : size(v0)']);
t_is(v0{2,2}, [1;0], 14, [t ' : v0{2,2}']);
t_is(vl{2,2}, [0;-1], 14, [t ' : vl{2,2}']);
t_is(vu{2,2}, [2;1], 14, [t ' : vu{2,2}']);
t_is(double(vt{2,2}), double('C'), 14, [t ' : vt{2,2}']);
for i = 1:2
for j = 1:3
for k = 1:4
n = i+j+k;
if i == 1
vt = vt0{j};
else
vt = char(vt0{j} * ones(1, n));
vt(j+1) = vt0{1+rem(j,3)};
end
t = sprintf('om.params_var(''y'', {%d,%d,%d})', i, j, k);
[v0, vl, vu, gvt] = om.params_var('y', {i,j,k});
t_is(v0, 10*(n:-1:1)', 14, [t ' : v0']);
t_is(vl, -1*(n:-1:1)', 14, [t ' : vl']);
t_is(vu, 100+(n:-1:1)', 14, [t ' : vu']);
t_is(gvt, vt, 14, [t ' : vt']);
end
end
end
t = 'om.params_var()';
[v0, vl, vu, vt] = om.params_var();
t_ok(length(v0) == om.getN('var'), [t ' : length(v0)']);
t_ok(length(vl) == om.getN('var'), [t ' : length(vl)']);
t_ok(length(vu) == om.getN('var'), [t ' : length(vu)']);
t_is(v0(vv.i1.x(2,2):vv.iN.x(2,2)), [1;0], 14, [t ' : v0(vv.i1.x(2,2):vv.iN.x(2,2))']);
t_is(vl(vv.i1.x(2,2):vv.iN.x(2,2)), [0;-1], 14, [t ' : vl(vv.i1.x(2,2):vv.iN.x(2,2))']);
t_is(vu(vv.i1.x(2,2):vv.iN.x(2,2)), [2;1], 14, [t ' : vu(vv.i1.x(2,2):vv.iN.x(2,2))']);
t_is(vt(vv.i1.x(2,2):vv.iN.x(2,2)), 'C', 14, [t ' : vt(vv.i1.x(2,2):vv.iN.x(2,2))']);
n = 8;
t_is(v0(vv.i1.y(2,2,4):vv.iN.y(2,2,4)), 10*(n:-1:1)', 14, [t ' : v0(vv.i1.y(2,2,4):vv.iN.y(2,2,4))']);
t_is(vl(vv.i1.y(2,2,4):vv.iN.y(2,2,4)), -1*(n:-1:1)', 14, [t ' : vl(vv.i1.y(2,2,4):vv.iN.y(2,2,4))']);
t_is(vu(vv.i1.y(2,2,4):vv.iN.y(2,2,4)), 100+(n:-1:1)', 14, [t ' : vu(vv.i1.y(2,2,4):vv.iN.y(2,2,4))']);
t_is(vt(vv.i1.y(2,2,4):vv.iN.y(2,2,4)), 'IIBIIIII', 14, [t ' : vt(vv.i1.y(2,2,4):vv.iN.y(2,2,4))']);
vt0 = 'CCCCCCCIIIIICIBICCCCCCCCCCCCCCCCCCCCCCCCCCCCIIIIIIIIIIIIIIIIIIIIIIBBBBBBBBBBBBBBBBBBBBBBBBBBCICCCICCCCICCCCCICCCCCIIBIIIIBIIIIIBIIIIIIBIIIIIBBBCBBBBBCBBBBBBCBBBBBBBCBBBBB';
t_is(vt, vt0, 14, [t ' : vt']);
%%----- varsets_len -----
t = 'om.varsets_len(vs) : ';
vs = om.varsets_cell2struct({'Pg'});
t_is(om.varsets_len(vs), 3, 14, [t '{''Pg''}']);
vs = om.varsets_cell2struct({'Pg', 'Va'});
t_is(om.varsets_len(vs), 7, 14, [t '{''Pg'', ''Va''}']);
vs = struct('name', 'x', 'idx', {{1,1},{2,1}});
t_is(om.varsets_len(vs), 5, 14, [t '''x'', {{1,1},{2,1}}']);
vs = om.varsets_cell2struct({'x'});
t_is(om.varsets_len(vs), 9, 14, [t '{''x''}']);
vs = om.varsets_cell2struct({'x', 'y', 'Pg'});
t_is(om.varsets_len(vs), 156, 14, [t '{''x'', ''y'', ''Pg''}']);
vs = om.varsets_cell2struct({});
t_is(om.varsets_len(vs), om.var.N, 14, [t '<all>']);
%%----- varsets_idx -----
t = 'om.varsets_idx(vs) : ';
vv = om.get_idx('var');
vs = om.varsets_cell2struct({'Pg'});
t_is(om.varsets_idx(vs), [vv.i1.Pg:vv.iN.Pg], 14, [t '{''Pg''}']);
vs = om.varsets_cell2struct({'Pg', 'Va'});
t_is(om.varsets_idx(vs), [vv.i1.Pg:vv.iN.Pg vv.i1.Va:vv.iN.Va], 14, [t '{''Pg'', ''Va''}']);
vs = struct('name', 'x', 'idx', {{1,1},{2,1}});
t_is(om.varsets_idx(vs), [vv.i1.x(1,1):vv.iN.x(1,1) vv.i1.x(2,1):vv.iN.x(2,1)], 14, [t '''x'', {{1,1},{2,1}}']);
vs = om.varsets_cell2struct({'x'});
t_is(om.varsets_idx(vs), [vv.i1.x(1,1):vv.iN.x(1,1) vv.i1.x(1,2):vv.iN.x(1,2) vv.i1.x(2,1):vv.iN.x(2,1) vv.i1.x(2,2):vv.iN.x(2,2)], 14, [t '{''x''}']);
vs = om.varsets_cell2struct({});
t_is(om.varsets_idx(vs), 1:om.var.N, 14, [t '<all>']);
%%----- varsets_x -----
t = 'varsets_x(x, vs) : ';
x = (1:om.var.N)';
vs = om.varsets_cell2struct({'Pg'});
xx = om.varsets_x(x, vs);
t_is(length(xx), 1, 14, [t '{''Pg''} : length']);
t_is(xx{1}, [vv.i1.Pg:vv.iN.Pg]', 14, [t '{''Pg''} : 1']);
vs = om.varsets_cell2struct({'Pg', 'Va'});
xx = om.varsets_x(x, vs);
t_is(length(xx), 2, 14, [t '{''Pg'', ''Va''} : length']);
t_is(xx{1}, [vv.i1.Pg:vv.iN.Pg]', 14, [t '{''Pg'', ''Va''} : 1']);
t_is(xx{2}, [vv.i1.Va:vv.iN.Va]', 14, [t '{''Pg'', ''Va''} : 2']);
vs = struct('name', 'x', 'idx', {{1,1},{2,1}});
xx = om.varsets_x(x, vs);
t_is(length(xx), 2, 14, [t '''x'', {{1,1},{2,1}} : length']);
t_is(xx{1}, [vv.i1.x(1,1):vv.iN.x(1,1)]', 14, [t '''x'', {{1,1},{2,1}} : 1']);
t_is(xx{2}, [vv.i1.x(2,1):vv.iN.x(2,1)]', 14, [t '''x'', {{1,1},{2,1}} : 2']);
vs = om.varsets_cell2struct({'x'});
xx = om.varsets_x(x, vs);
t_is(length(xx), 4, 14, [t '{''x''} : length']);
t_is(xx{1}, [vv.i1.x(1,1):vv.iN.x(1,1)]', 14, [t '{''x''} : 1']);
t_is(xx{2}, [vv.i1.x(1,2):vv.iN.x(1,2)]', 14, [t '{''x''} : 2']);
t_is(xx{3}, [vv.i1.x(2,1):vv.iN.x(2,1)]', 14, [t '{''x''} : 3']);
t_is(xx{4}, [vv.i1.x(2,2):vv.iN.x(2,2)]', 14, [t '{''x''} : 4']);
vs = om.varsets_cell2struct({'x', 'y', 'Pg'});
xx = om.varsets_x(x, vs);
t_is(length(xx), 29, 14, [t '{''x'', ''y'', ''Pg''} : length']);
t_is(xx{ 1}, [vv.i1.x(1,1):vv.iN.x(1,1)]', 14, [t '{''x'', ''y'', ''Pg''} : 1']);
t_is(xx{ 2}, [vv.i1.x(1,2):vv.iN.x(1,2)]', 14, [t '{''x'', ''y'', ''Pg''} : 2']);
t_is(xx{ 3}, [vv.i1.x(2,1):vv.iN.x(2,1)]', 14, [t '{''x'', ''y'', ''Pg''} : 3']);
t_is(xx{ 4}, [vv.i1.x(2,2):vv.iN.x(2,2)]', 14, [t '{''x'', ''y'', ''Pg''} : 4']);
t_is(xx{ 5}, [vv.i1.y(1,1,1):vv.iN.y(1,1,1)]', 14, [t '{''x'', ''y'', ''Pg''} : 5']);
t_is(xx{ 6}, [vv.i1.y(1,1,2):vv.iN.y(1,1,2)]', 14, [t '{''x'', ''y'', ''Pg''} : 6']);
t_is(xx{ 7}, [vv.i1.y(1,1,3):vv.iN.y(1,1,3)]', 14, [t '{''x'', ''y'', ''Pg''} : 7']);
t_is(xx{ 8}, [vv.i1.y(1,1,4):vv.iN.y(1,1,4)]', 14, [t '{''x'', ''y'', ''Pg''} : 8']);
t_is(xx{ 9}, [vv.i1.y(1,2,1):vv.iN.y(1,2,1)]', 14, [t '{''x'', ''y'', ''Pg''} : 9']);
t_is(xx{10}, [vv.i1.y(1,2,2):vv.iN.y(1,2,2)]', 14, [t '{''x'', ''y'', ''Pg''} : 10']);
t_is(xx{11}, [vv.i1.y(1,2,3):vv.iN.y(1,2,3)]', 14, [t '{''x'', ''y'', ''Pg''} : 11']);
t_is(xx{12}, [vv.i1.y(1,2,4):vv.iN.y(1,2,4)]', 14, [t '{''x'', ''y'', ''Pg''} : 12']);
t_is(xx{13}, [vv.i1.y(1,3,1):vv.iN.y(1,3,1)]', 14, [t '{''x'', ''y'', ''Pg''} : 13']);
t_is(xx{14}, [vv.i1.y(1,3,2):vv.iN.y(1,3,2)]', 14, [t '{''x'', ''y'', ''Pg''} : 14']);
t_is(xx{15}, [vv.i1.y(1,3,3):vv.iN.y(1,3,3)]', 14, [t '{''x'', ''y'', ''Pg''} : 15']);
t_is(xx{16}, [vv.i1.y(1,3,4):vv.iN.y(1,3,4)]', 14, [t '{''x'', ''y'', ''Pg''} : 16']);
t_is(xx{17}, [vv.i1.y(2,1,1):vv.iN.y(2,1,1)]', 14, [t '{''x'', ''y'', ''Pg''} : 17']);
t_is(xx{18}, [vv.i1.y(2,1,2):vv.iN.y(2,1,2)]', 14, [t '{''x'', ''y'', ''Pg''} : 18']);
t_is(xx{19}, [vv.i1.y(2,1,3):vv.iN.y(2,1,3)]', 14, [t '{''x'', ''y'', ''Pg''} : 19']);
t_is(xx{20}, [vv.i1.y(2,1,4):vv.iN.y(2,1,4)]', 14, [t '{''x'', ''y'', ''Pg''} : 20']);
t_is(xx{21}, [vv.i1.y(2,2,1):vv.iN.y(2,2,1)]', 14, [t '{''x'', ''y'', ''Pg''} : 21']);
t_is(xx{22}, [vv.i1.y(2,2,2):vv.iN.y(2,2,2)]', 14, [t '{''x'', ''y'', ''Pg''} : 22']);
t_is(xx{23}, [vv.i1.y(2,2,3):vv.iN.y(2,2,3)]', 14, [t '{''x'', ''y'', ''Pg''} : 23']);
t_is(xx{24}, [vv.i1.y(2,2,4):vv.iN.y(2,2,4)]', 14, [t '{''x'', ''y'', ''Pg''} : 24']);
t_is(xx{25}, [vv.i1.y(2,3,1):vv.iN.y(2,3,1)]', 14, [t '{''x'', ''y'', ''Pg''} : 25']);
t_is(xx{26}, [vv.i1.y(2,3,2):vv.iN.y(2,3,2)]', 14, [t '{''x'', ''y'', ''Pg''} : 26']);
t_is(xx{27}, [vv.i1.y(2,3,3):vv.iN.y(2,3,3)]', 14, [t '{''x'', ''y'', ''Pg''} : 27']);
t_is(xx{28}, [vv.i1.y(2,3,4):vv.iN.y(2,3,4)]', 14, [t '{''x'', ''y'', ''Pg''} : 28']);
t_is(xx{29}, [vv.i1.Pg:vv.iN.Pg]', 14, [t '{''x'', ''y'', ''Pg''} : 29']);
vs = om.varsets_cell2struct({});
xx = om.varsets_x(x, vs);
t_is(length(xx), om.var.N, 14, [t '<all> : length']);
t_is(xx, [1:om.var.N]', 14, [t '<all>']);
t = 'varsets_x(x, vs, ''vector'') : ';
vs = om.varsets_cell2struct({'Pg'});
xx = om.varsets_x(x, vs, 'vector');
t_is(length(xx), vv.N.Pg, 14, [t '{''Pg''} : length']);
t_is(xx, [vv.i1.Pg:vv.iN.Pg]', 14, [t '{''Pg''}']);
vs = om.varsets_cell2struct({'Pg', 'Va'});
xx = om.varsets_x(x, vs, 'vector');
t_is(length(xx), vv.N.Va + vv.N.Pg, 14, [t '{''Pg'', ''Va''} : length']);
t_is(xx, [vv.i1.Pg:vv.iN.Pg vv.i1.Va:vv.iN.Va]', 14, [t '{''Pg'', ''Va''}']);
vs = struct('name', 'x', 'idx', {{1,1},{2,1}});
xx = om.varsets_x(x, vs, 'vector');
t_is(length(xx), vv.N.x(1,1) + vv.N.x(2,1), 14, [t '''x'', {{1,1},{2,1}} : length']);
t_is(xx, [vv.i1.x(1,1):vv.iN.x(1,1) vv.i1.x(2,1):vv.iN.x(2,1)]', 14, [t '''x'', {{1,1},{2,1}}']);
vs = om.varsets_cell2struct({'x'});
xx = om.varsets_x(x, vs, 'vector');
t_is(length(xx), sum(vv.N.x(:)), 14, [t '{''x''} : length']);
t_is(xx, [vv.i1.x(1,1):vv.iN.x(1,1) vv.i1.x(1,2):vv.iN.x(1,2) vv.i1.x(2,1):vv.iN.x(2,1) vv.i1.x(2,2):vv.iN.x(2,2)]', 14, [t '{''x''}']);
vs = om.varsets_cell2struct({'x', 'y', 'Pg'});
xx = om.varsets_x(x, vs, 'vector');
t_is(length(xx), sum(vv.N.x(:))+sum(vv.N.y(:))+vv.N.Pg, 14, [t '{''x'', ''y'', ''Pg''} : length']);
t_is(xx, [ vv.i1.x(1,1):vv.iN.x(1,1) vv.i1.x(1,2):vv.iN.x(1,2) ...
vv.i1.x(2,1):vv.iN.x(2,1) vv.i1.x(2,2):vv.iN.x(2,2) ...
vv.i1.y(1,1,1):vv.iN.y(1,1,1) vv.i1.y(1,1,2):vv.iN.y(1,1,2) ...
vv.i1.y(1,1,3):vv.iN.y(1,1,3) vv.i1.y(1,1,4):vv.iN.y(1,1,4) ...
vv.i1.y(1,2,1):vv.iN.y(1,2,1) vv.i1.y(1,2,2):vv.iN.y(1,2,2) ...
vv.i1.y(1,2,3):vv.iN.y(1,2,3) vv.i1.y(1,2,4):vv.iN.y(1,2,4) ...
vv.i1.y(1,3,1):vv.iN.y(1,3,1) vv.i1.y(1,3,2):vv.iN.y(1,3,2) ...
vv.i1.y(1,3,3):vv.iN.y(1,3,3) vv.i1.y(1,3,4):vv.iN.y(1,3,4) ...
vv.i1.y(2,1,1):vv.iN.y(2,1,1) vv.i1.y(2,1,2):vv.iN.y(2,1,2) ...
vv.i1.y(2,1,3):vv.iN.y(2,1,3) vv.i1.y(2,1,4):vv.iN.y(2,1,4) ...
vv.i1.y(2,2,1):vv.iN.y(2,2,1) vv.i1.y(2,2,2):vv.iN.y(2,2,2) ...
vv.i1.y(2,2,3):vv.iN.y(2,2,3) vv.i1.y(2,2,4):vv.iN.y(2,2,4) ...
vv.i1.y(2,3,1):vv.iN.y(2,3,1) vv.i1.y(2,3,2):vv.iN.y(2,3,2) ...
vv.i1.y(2,3,3):vv.iN.y(2,3,3) vv.i1.y(2,3,4):vv.iN.y(2,3,4) ...
vv.i1.Pg:vv.iN.Pg]', 14, [t '{''x'', ''y'', ''Pg''}']);
vs = om.varsets_cell2struct({});
xx = om.varsets_x(x, vs, 'vector');
t_is(length(xx), om.var.N, 14, [t '<all> : length']);
t_is(xx, [1:om.var.N]', 14, [t '<all>']);
%%----- add_lin_constraint -----
t = 'add_lin_constraint';
lN = 0;
lNS = 0;
t_ok(om.getN('lin') == lN, sprintf('%s : lin.N = %d', t, lN));
t_ok(om.get('lin', 'NS') == lNS, sprintf('%s : lin.NS = %d', t, lNS));
t = 'om.add_lin_constraint(''Pmis'', A, l, u, {''Va'', ''Pg''})';
A1 = sparse([1:3 1:3 1:3]', [1:3 4:6 7 7 7]', [1 1 1 -1 -1 -1 2 3 4]', 3, 7);
l1 = -(1:3)'; u1 = (1:3)';
om.add_lin_constraint('Pmis', A1, l1, u1, {'Va', 'Pg'});
lNS = lNS + 1; lN = lN + 3;
t_ok(om.getN('lin') == lN, sprintf('%s : lin.N = %d', t, lN));
t_ok(om.get('lin', 'NS') == lNS, sprintf('%s : lin.NS = %d', t, lNS));
t = 'om.add_lin_constraint(''Qmis'', A, l, u)';
A2 = sparse([1:3 1:3 1:3]', [1:3 4:6 7 7 7]', [1 1 1 -1 -1 -1 2 3 4]', 3, vN);
om.add_lin_constraint('Qmis', A2, l1, u1);
lNS = lNS + 1; lN = lN + 3;
t_ok(om.getN('lin') == lN, sprintf('%s : lin.N = %d', t, lN));
t_ok(om.get('lin', 'NS') == lNS, sprintf('%s : lin.NS = %d', t, lNS));
t = 'om.init_indexed_name(''lin'', ''mylin'', {2, 2})';
om.init_indexed_name('lin', 'mylin', {2, 2});
t_ok(om.getN('lin') == lN, sprintf('%s : lin.N = %d', t, lN));
t_ok(om.get('lin', 'NS') == lNS, sprintf('%s : lin.NS = %d', t, lNS));
for i = 1:2
for j = 1:2
t = sprintf('om.add_lin_constraint(''mylin'', {%d,%d}, A, l, u, vs)', i,j);
A = sparse([1:(i+j) 1:(i+j)]', [1:(i+j) 5*ones(1,i+j)]', ...
[ones(i+j,1);-ones(i+j,1)], i+j, 3+2+(i==2 && j==1));
l = -1; u = [];
vs = struct('name', {'Pg', 'x'}, 'idx', {{}, {i,j}});
om.add_lin_constraint('mylin', {i, j}, A', l, u, vs, 1);
lNS = lNS + 1; lN = lN + i+j;
t_ok(om.getN('lin') == lN, sprintf('%s : lin.N = %d', t, lN));
t_ok(om.get('lin', 'NS') == lNS, sprintf('%s : lin.NS = %d', t, lNS));
end
end
t = 'om.add_lin_constraint(''onerow'', A, l, u)';
A4 = sparse([1 1 1]', [1:3]', [-1 -2 -3]', 1, vN);
om.add_lin_constraint('onerow', A4, 0, Inf);
lNS = lNS + 1; lN = lN + 1;
t_ok(om.getN('lin') == lN, sprintf('%s : lin.N = %d', t, lN));
t_ok(om.get('lin', 'NS') == lNS, sprintf('%s : lin.NS = %d', t, lNS));
%%----- add_nln_constraint (equality) -----
t = 'add_nln_constraint (equality)';
neN = 0;
neNS = 0;
t_ok(om.getN('nle') == neN, sprintf('%s : nle.N = %d', t, neN));
t_ok(om.get('nle', 'NS') == neNS, sprintf('%s : nle.NS = %d', t, neNS));
t = 'om.add_nln_constraint(''Pmise'', N, 1, fcn, hess, {''Pg'', ''Va''})';
N = 4;
fcn = @(x)my_fcn(x, N, 2);
hess = @(x, lam)my_hess(x, lam, 10);
om.add_nln_constraint('Pmise', N, 1, fcn, hess, {'Pg', 'Va'});
neNS = neNS + 1; neN = neN + N;
t_ok(om.getN('nle') == neN, sprintf('%s : nle.N = %d', t, neN));
t_ok(om.get('nle', 'NS') == neNS, sprintf('%s : nle.NS = %d', t, neNS));
t = 'om.add_nln_constraint(''Qmise'', N, 1, fcn, hess)';
N = 3;
fcn = @(x)my_fcn(x, N, 2);
hess = @(x, lam)my_hess(x, lam, 10);
om.add_nln_constraint('Qmise', N, 1, fcn, hess);
neNS = neNS + 1; neN = neN + N;
t_ok(om.getN('nle') == neN, sprintf('%s : nle.N = %d', t, neN));
t_ok(om.get('nle', 'NS') == neNS, sprintf('%s : nle.NS = %d', t, neNS));
t = 'om.add_nln_constraint({''P'',''Q'',''R''}, [3;2;1], 1, fcn, hess, {''Pg'', ''Va''})';
N = [3;2;1];
fcn = @(x)my_fcn(x, sum(N), 2);
hess = @(x, lam)my_hess(x, lam, 10);
om.add_nln_constraint({'P', 'Q', 'R'}, N, 1, fcn, hess, {'Pg', 'Va'});
neNS = neNS + length(N); neN = neN + sum(N);
t_ok(om.getN('nle') == neN, sprintf('%s : nle.N = %d', t, neN));
t_ok(om.get('nle', 'NS') == neNS, sprintf('%s : nle.NS = %d', t, neNS));
t = 'om.init_indexed_name(''nle'', ''mynle'', {2, 2})';
om.init_indexed_name('nle', 'mynle', {2, 2});
t_ok(om.getN('nle') == neN, sprintf('%s : nle.N = %d', t, neN));
t_ok(om.get('nle', 'NS') == neNS, sprintf('%s : nle.NS = %d', t, neNS));
for i = 1:2
for j = 1:2
t = sprintf('om.add_nln_constraint(''mynle'', {%d,%d}, N, 1, fcn, hess, vs)', i,j);
N = i+j;
fcn = @(x)my_fcn(x, N, i);
hess = @(x, lam)my_hess(x, lam, j);
vs = struct('name', {'Pg', 'x'}, 'idx', {{}, {i,j}});
om.add_nln_constraint('mynle', {i, j}, N, 1, fcn, hess, vs);
neNS = neNS + 1; neN = neN + N;
t_ok(om.getN('nle') == neN, sprintf('%s : nle.N = %d', t, neN));
t_ok(om.get('nle', 'NS') == neNS, sprintf('%s : nle.NS = %d', t, neNS));
end
end
%%----- add_nln_constraint (inequality) -----
t = 'add_nln_constraint (inequality)';
niN = 0;
niNS = 0;
t_ok(om.getN('nli') == niN, sprintf('%s : nli.N = %d', t, niN));
t_ok(om.get('nli', 'NS') == niNS, sprintf('%s : nli.NS = %d', t, niNS));
t = 'om.add_nln_constraint(''Pmisi'', N, 0, fcn, hess, {''Pg'', ''Va''})';
N = 3;
fcn = @(x)my_fcn(x, N, -2);
hess = @(x, lam)my_hess(x, lam, -10);
om.add_nln_constraint('Pmisi', N, 0, fcn, hess, {'Pg', 'Va'});
niNS = niNS + 1; niN = niN + N;
t_ok(om.getN('nli') == niN, sprintf('%s : nli.N = %d', t, niN));
t_ok(om.get('nli', 'NS') == niNS, sprintf('%s : nli.NS = %d', t, niNS));
t = 'om.add_nln_constraint(''Qmisi'', N, 0, fcn, hess)';
N = 2;
fcn = @(x)my_fcn(x, N, -2);
hess = @(x, lam)my_hess(x, lam, -10);
om.add_nln_constraint('Qmisi', N, 0, fcn, hess);
niNS = niNS + 1; niN = niN + N;
t_ok(om.getN('nli') == niN, sprintf('%s : nli.N = %d', t, niN));
t_ok(om.get('nli', 'NS') == niNS, sprintf('%s : nli.NS = %d', t, niNS));
t = 'om.init_indexed_name(''nli'', ''mynli'', {2, 2})';
om.init_indexed_name('nli', 'mynli', {2, 2});
t_ok(om.getN('nli') == niN, sprintf('%s : nli.N = %d', t, niN));
t_ok(om.get('nli', 'NS') == niNS, sprintf('%s : nli.NS = %d', t, niNS));
for i = 1:2
for j = 1:2
t = sprintf('om.add_nln_constraint(''mynli'', {%d,%d}, N, 0, fcn, hess, vs)', i,j);
N = i+j-1;
fcn = @(x)my_fcn(x, N, i);
hess = @(x, lam)my_hess(x, lam, j);
vs = struct('name', {'Pg', 'x'}, 'idx', {{}, {i,j}});
om.add_nln_constraint('mynli', {i, j}, N, 0, fcn, hess, vs);
niNS = niNS + 1; niN = niN + N;
t_ok(om.getN('nli') == niN, sprintf('%s : nli.N = %d', t, niN));
t_ok(om.get('nli', 'NS') == niNS, sprintf('%s : nli.NS = %d', t, niNS));
end
end
%%----- get_idx -----
t = 'get_idx : lin';
[vv, ll] = om.get_idx();
t_is([ll.i1.Qmis ll.iN.Qmis ll.N.Qmis], [4 6 3], 14, [t ' : Qmis']);
t_is(size(ll.i1.mylin), [2, 2], 14, [t ' : size(ll.i1.mylin)']);
t_is([ll.i1.mylin(2,1) ll.iN.mylin(2,1) ll.N.mylin(2,1)], [12 14 3], 14, [t ' : mylin(2,1)']);
t = 'get_idx(''lin'')';
ll = om.get_idx('lin');
t_is([ll.i1.Qmis ll.iN.Qmis ll.N.Qmis], [4 6 3], 14, [t ' : Qmis']);
t_is(size(ll.i1.mylin), [2, 2], 14, [t ' : size(ll.i1.mylin)']);
t_is([ll.i1.mylin(2,1) ll.iN.mylin(2,1) ll.N.mylin(2,1)], [12 14 3], 14, [t ' : mylin(2,1)']);
%%----- params_lin_constraint -----
t = 'om.params_lin_constraint(''Pmis'')';
[A, l, u, vs] = om.params_lin_constraint('Pmis');
t_is(A, A1, 14, [t, ' : A']);
t_is(l, l1, 14, [t, ' : l']);
t_is(u, u1, 14, [t, ' : u']);
vs1 = struct('name', {'Va', 'Pg'}, 'idx', {{}, {}});
t_ok(isequal(vs, vs1), [t, ' : vs']);
t = 'om.params_lin_constraint(''Qmis'')';
[A, l, u, vs] = om.params_lin_constraint('Qmis');
t_is(A, A2, 14, [t, ' : A']);
t_is(l, l1, 14, [t, ' : l']);
t_is(u, u1, 14, [t, ' : u']);
t_ok(isequal(vs, {}), [t, ' : vs']);
for i = 1:2
for j = 1:2
t = sprintf('om.params_lin_constraint(''mylin'', {%d,%d})', i,j);
A3 = sparse([1:(i+j) 1:(i+j)]', [1:(i+j) 5*ones(1,i+j)]', ...
[ones(i+j,1);-ones(i+j,1)], i+j, 3+2+(i==2 && j==1));
l3 = -ones(i+j, 1); u = [];
vvs = struct('name', {'Pg', 'x'}, 'idx', {{}, {i,j}});
[A, l, u, vs] = om.params_lin_constraint('mylin', {i,j});
t_is(A', A3, 14, [t, ' : A']);
t_is(l, l3, 14, [t, ' : l']);
t_ok(all(isinf(u)) & all(u > 0), [t, ' : u']);
t_ok(isequal(vs, vvs), [t, ' : vs']);
end
end
t = 'om.params_lin_constraint(''onerow'')';
[A, l, u, vs] = om.params_lin_constraint('onerow');
t_is(A, A4, 14, [t, ' : A']);
t_is(l, 0, 14, [t, ' : l']);
t_ok(all(isinf(u)) & all(u > 0), [t, ' : u']);
t_ok(isequal(vs, {}), [t, ' : vs']);
t = 'om.params_lin_constraint()';
[A, l, u] = om.params_lin_constraint();
t_ok(issparse(A), [t ' : issparse(A)']);
t_is(size(A), [lN, vN], 14, [t ' : size(A)']);
t_is(length(l), lN, 14, [t ' : length(l)']);
t_is(length(u), lN, 14, [t ' : length(u)']);
AA = sparse([1:3 1:3 1:3]', [1:3 4:6 7 7 7]', [1 1 1 -1 -1 -1 2 3 4]', 3, vN);
t_is(full(A(ll.i1.Qmis:ll.iN.Qmis, :)), full(AA), 14, [t ' : A(<Qmis>,:)']);
t_is(full(A(ll.i1.mylin(2,1):ll.iN.mylin(2,1), vv.i1.Pg:vv.iN.Pg)), eye(3,3), 14, [t ' : A(<mylin(2,1)>,<Pg>)']);
t_is(full(A(ll.i1.mylin(2,1):ll.iN.mylin(2,1), vv.i1.x(2,1):vv.iN.x(2,1))), [0 -1 0;0 -1 0;0 -1 0], 14, [t ' : A(<mylin(2,1)>,<x(2,1)>)']);
%%----- eval_lin_constraint -----
t = '[Ax_u, l_Ax, A] = om.eval_lin_constraint(x)';
x = (1:om.var.N)';
[Ax_u, l_Ax, AA] = om.eval_lin_constraint(x);
t_is(Ax_u, A*x-u, 14, [t ' : Ax_u']);
t_is(l_Ax, l-A*x, 14, [t ' : l_Ax']);
t_is(AA, A, 14, [t ' : A']);
t = 'Ax_u = om.eval_lin_constraint(x, ''Pmis'')';
vs = om.varsets_cell2struct({'Va', 'Pg'});
xx = om.varsets_x(x, vs, 'vector');
Ax_u = om.eval_lin_constraint(x, 'Pmis');
t_is(Ax_u, A1*xx-u1, 14, [t ' : Ax_u']);
t = '[Ax_u, l_Ax] = om.eval_lin_constraint(x, ''Pmis'')';
[Ax_u, l_Ax, A] = om.eval_lin_constraint(x, 'Pmis');
t_is(Ax_u, A1*xx-u1, 14, [t ' : Ax_u']);
t_is(l_Ax, l1-A1*xx, 14, [t ' : l_Ax']);
t = '[Ax_u, l_Ax, A] = om.eval_lin_constraint(x, ''Pmis'')';
[Ax_u, l_Ax, A] = om.eval_lin_constraint(x, 'Pmis');
t_is(Ax_u, A1*xx-u1, 14, [t ' : Ax_u']);
t_is(l_Ax, l1-A1*xx, 14, [t ' : l_Ax']);
t_is(A, A1, 14, [t ' : A']);
t = '[Ax_u, l_Ax, A] = om.eval_lin_constraint(x, ''Qmis'')';
vs = om.varsets_cell2struct({'Va', 'Pg'});
xx = om.varsets_x(x, vs, 'vector');
[Ax_u, l_Ax, A] = om.eval_lin_constraint(x, 'Qmis');
t_is(Ax_u, A2*x-u1, 14, [t ' : Ax_u']);
t_is(l_Ax, l1-A2*x, 14, [t ' : l_Ax']);
t_is(A, A2, 14, [t ' : A']);
for i = 1:2
for j = 1:2
t = sprintf('om.eval_lin_constraint(''mylin'', {%d,%d})', i,j);
A3 = sparse([1:(i+j) 1:(i+j)]', [1:(i+j) 5*ones(1,i+j)]', ...
[ones(i+j,1);-ones(i+j,1)], i+j, 3+2+(i==2 && j==1));
l3 = -ones(i+j, 1); u = [];
vs = struct('name', {'Pg', 'x'}, 'idx', {{}, {i,j}});
xx = om.varsets_x(x, vs, 'vector');
[Ax_u, l_Ax, A] = om.eval_lin_constraint(x, 'mylin', {i,j});
t_ok(all(isinf(Ax_u)) & all(Ax_u < 0), [t ' : Ax_u']);
t_is(l_Ax, l3-A3*xx, 14, [t ' : l_Ax']);
t_is(A, A3, 14, [t ' : A']);
end
end
%%----- params_nln_constraint -----
t = 'om.params_nln_constraint(1, ''Pmise'')';
N = om.params_nln_constraint(1, 'Pmise');
t_is(N, 4, 14, [t, ' : N']);
[N, fcn] = om.params_nln_constraint(1, 'Pmise');
t_is(N, 4, 14, [t, ' : N']);
t_ok(isa(fcn, 'function_handle'), [t, ' : fcn']);
[N, fcn, hess] = om.params_nln_constraint(1, 'Pmise');
t_is(N, 4, 14, [t, ' : N']);
t_ok(isa(fcn, 'function_handle'), [t, ' : fcn']);
t_ok(isa(hess, 'function_handle'), [t, ' : hess']);
[N, fcn, hess, vs] = om.params_nln_constraint(1, 'Pmise');
t_is(N, 4, 14, [t, ' : N']);
t_ok(isa(fcn, 'function_handle'), [t, ' : fcn']);
t_ok(isa(hess, 'function_handle'), [t, ' : hess']);
t_ok(isstruct(vs), [t, ' : isstruct(vs)']);
t_is(length(vs), 2, 14, [t, ' : length(vs)']);
t_str_match(vs(1).name, 'Pg', [t, ' : vs(1).name']);
t_str_match(vs(2).name, 'Va', [t, ' : vs(2).name']);
t_ok(isempty(vs(1).idx), [t, ' : vs(1).idx']);
t_ok(isempty(vs(2).idx), [t, ' : vs(2).idx']);
[N, fcn, hess, vs, include] = om.params_nln_constraint(1, 'Pmise');
t_str_match(include, '', [t, ' : include']);
t = 'om.params_nln_constraint(1, ''P'')';
[N, fcn, hess, vs, include] = om.params_nln_constraint(1, 'P');
t_is(N, 3, 14, [t, ' : N']);
t_ok(isa(fcn, 'function_handle'), [t, ' : fcn']);
t_ok(isa(hess, 'function_handle'), [t, ' : hess']);
t_ok(isstruct(vs), [t, ' : isstruct(vs)']);
t_is(length(vs), 2, 14, [t, ' : length(vs)']);
t_str_match(vs(1).name, 'Pg', [t, ' : vs(1).name']);
t_str_match(vs(2).name, 'Va', [t, ' : vs(2).name']);
t_ok(isempty(vs(1).idx), [t, ' : vs(1).idx']);
t_ok(isempty(vs(2).idx), [t, ' : vs(2).idx']);
t_ok(isstruct(include), [t, ' : istruct(include)']);
t_is(length(include.name), 2, 14, [t, ' : length(include.name)']);
t_is(length(include.N), 2, 14, [t, ' : length(include.N)']);
t_str_match(include.name{1}, 'Q', [t, ' : include.name{1}']);
t_str_match(include.name{2}, 'R', [t, ' : include.name{2}']);
t_is(include.N, [2 1], 14, [t, ' : include.N']);
t = 'om.params_nln_constraint(1, ''mynle'') : error';
try
[N, fcn] = om.params_nln_constraint(1, 'mynle')
t_ok(0, t);
catch me
t_ok(strfind(me.message, 'opt_model.params_nln_constraint: nonlinear constraint set ''mynle'' requires an IDX_LIST arg'), t);
end
t = 'om.params_nln_constraint(0, ''mynli'', {1,2})';
[N, fcn, hess, vs] = om.params_nln_constraint(0, 'mynli', {1,2});
t_is(N, 2, 14, [t, ' : N']);
t_ok(isa(fcn, 'function_handle'), [t, ' : fcn']);
t_ok(isa(hess, 'function_handle'), [t, ' : hess']);
t_ok(isstruct(vs), [t, ' : isstruct(vs)']);
t_is(length(vs), 2, 14, [t, ' : length(vs)']);
t_str_match(vs(1).name, 'Pg', [t, ' : vs(1).name']);
t_str_match(vs(2).name, 'x', [t, ' : vs(2).name']);
t_ok(isempty(vs(1).idx), [t, ' : vs(1).idx']);
t_is(length(vs(2).idx), 2, 14, [t, ' : length(vs(2).idx)']);
t_is(vs(2).idx{1}, 1, 14, [t, ' : vs(2).idx{1}']);
t_is(vs(2).idx{2}, 2, 14, [t, ' : vs(2).idx{2}']);
t = 'om.params_nln_constraint(0, ''mynli'', {2,2})';
[N, fcn, hess, vs] = om.params_nln_constraint(0, 'mynli', {2,2});
t_is(N, 3, 14, [t, ' : N']);
t_ok(isa(fcn, 'function_handle'), [t, ' : fcn']);
t_ok(isa(hess, 'function_handle'), [t, ' : hess']);
t_ok(isstruct(vs), [t, ' : isstruct(vs)']);
t_is(length(vs), 2, 14, [t, ' : length(vs)']);
t_str_match(vs(1).name, 'Pg', [t, ' : vs(1).name']);
t_str_match(vs(2).name, 'x', [t, ' : vs(2).name']);
t_ok(isempty(vs(1).idx), [t, ' : vs(1).idx']);
t_is(length(vs(2).idx), 2, 14, [t, ' : length(vs(2).idx)']);
t_is(vs(2).idx{1}, 2, 14, [t, ' : vs(2).idx{1}']);
t_is(vs(2).idx{2}, 2, 14, [t, ' : vs(2).idx{2}']);
%%----- eval_nln_constraint -----
t = 'g = om.eval_nln_constraint';
x = (1:om.var.N)';
[g, dg] = om.eval_nln_constraint(x, 1);
t_is(length(g), neN, 14, [t ' : length(g)']);
eg = [7 8 9 3 3 4 5 7 8 9 3 4 5 6 7 6 7 8 7 8 9 7 8 9 27]';
t_is(g, eg, 14, [t ' : g']);
t = 'g = om.eval_nln_constraint(x, 1, ''Qmise'')';
x = (1:om.var.N)';
[g, dg] = om.eval_nln_constraint(x, 1, 'Qmise');
t_is(length(g), 3, 14, [t ' : length(g)']);
t_is(g, eg([5:7]), 14, [t ' : g']);
t = 'g = om.eval_nln_constraint(x, 1, ''mynle'', {1,2})';
x = (1:om.var.N)';
[g, dg] = om.eval_nln_constraint(x, 1, 'mynle', {1,2});
t_is(length(g), 3, 14, [t ' : length(g)']);
t_is(g, eg(16:18), 14, [t ' : g']);
t = '[g, dg] = om.eval_nln_constraint';
x = (1:om.var.N)';
[g, dg] = om.eval_nln_constraint(x, 1);
t_is(length(g), neN, 14, [t ' : length(g)']);
t_ok(issparse(dg), [t ' : issparse(dg)']);
t_is(size(dg), [neN, vN], 14, [t ' : size(dg)']);
t_is(g, eg, 14, [t ' : g']);
ePmise = [[ 1 2 3 4 7 6 7;
0 0 0 0 0 2 0;
0 0 0 0 0 0 2;
2 0 0 0 0 0 0 ] zeros(4, vN-7) ];
t_is(full(dg(1:4, :)), ePmise, 14, [t ' : dg(1:4, :) [Pmise]']);
eQmise = [[3 2:vN]; [0 2 0 zeros(1, vN-3)]; [0 0 2 zeros(1, vN-3)]];
t_is(full(dg(5:7, :)), eQmise, 14, [t ' : dg(5:7, :) [Qmise]']);
e = [[ 1 2 3 4 7 6 7;
0 0 0 0 0 2 0;
0 0 0 0 0 0 2;
2 0 0 0 0 0 0;
0 2 0 0 0 0 0;
0 0 2 0 0 0 0 ] zeros(6, vN-7) ];
t_is(full(dg(8:13, :)), e, 14, [t ' : dg(8:13, :) [mynle(1,1)]']);
e = [[0 0 0 0 6 6 7; 0 0 0 0 0 1 0] zeros(2, 10) [18 19; 0 0] zeros(2, vN-19)];
t_is(full(dg(14:15, :)), e, 14, [t ' : dg(14:15, :) [mynle(1,1)]']);
emynle12 = [[0 0 0 0 6 6 7; 0 0 0 0 0 1 0; 0 0 0 0 0 0 1] zeros(3, 12) [20 21; 0 0; 0 0] zeros(3, vN-21)];
t_is(full(dg(16:18, :)), emynle12, 14, [t ' : dg(16:18, :) [mynle(1,2)]']);
e = [[0 0 0 0 7 6 7; 0 0 0 0 0 2 0; 0 0 0 0 0 0 2] zeros(3, 14) [22 23 24; 0 0 0; 0 0 0] zeros(3, vN-24)];
t_is(full(dg(19:21, :)), e, 14, [t ' : dg(19:21, :) [mynle(2,1)]']);
e = [[0 0 0 0 7 6 7; 0 0 0 0 0 2 0; 0 0 0 0 0 0 2; 0 0 0 0 0 0 0] zeros(4, 17) [25 26; 0 0; 0 0; 2 0] zeros(4, vN-26)];
t_is(full(dg(22:25, :)), e, 14, [t ' : dg(22:25, :) [mynle(2,2)]']);
t = '[g, dg] = om.eval_nln_constraint(x, 1, ''Pmise'')';
x = (1:om.var.N)';
[g, dg] = om.eval_nln_constraint(x, 1, 'Pmise');
t_is(length(g), 4, 14, [t ' : length(g)']);
t_is(g, eg([1:4]), 14, [t ' : g']);
t_is(full(dg), ePmise(:, [5:7 1:4]), 14, [t ' : dg']);
t = '[g, dg] = om.eval_nln_constraint(x, 1, ''Qmise'')';
x = (1:om.var.N)';
[g, dg] = om.eval_nln_constraint(x, 1, 'Qmise');
t_is(length(g), 3, 14, [t ' : length(g)']);
t_is(g, eg([5:7]), 14, [t ' : g']);
t_is(full(dg), eQmise, 14, [t ' : dg']);
t = '[g, dg] = om.eval_nln_constraint(x, 1, ''mynle'', {1,2})';
x = (1:om.var.N)';
[g, dg] = om.eval_nln_constraint(x, 1, 'mynle', {1,2});
t_is(length(g), 3, 14, [t ' : length(g)']);
t_is(g, eg(16:18), 14, [t ' : g']);
t_is(full(dg), emynle12(:, [5:7 20:21]), 14, [t ' : dg']);
% g
% full(dg)
% full(dg)'
t = 'h = om.eval_nln_constraint';
h = om.eval_nln_constraint(x, 0);
t_is(length(h), niN, 14, [t ' : length(h)']);
t_is(h, [3 4 5 -1 0 6 6 7 7 8 7 8 9]', 14, [t ' : h']);
t = '[h, dh] = om.eval_nln_constraint';
[h, dh] = om.eval_nln_constraint(x, 0);
t_is(length(h), niN, 14, [t ' : length(h)']);
t_ok(issparse(dh), [t ' : issparse(dh)']);
t_is(size(dh), [niN, vN], 14, [t ' : size(dh)']);
eh = [3 4 5 -1 0 6 6 7 7 8 7 8 9]';
t_is(h, eh, 14, [t ' : h']);
ePmisi = [[ 1 2 3 4 3 6 7;
0 0 0 0 0 -2 0;
0 0 0 0 0 0 -2 ] zeros(3, vN-7) ];
t_is(full(dh(1:3, :)), ePmisi, 14, [t ' : dh(1:3, :) [Pmisi]']);
eQmisi = [[-1 2:vN]; [0 -2 zeros(1, vN-2)]];
t_is(full(dh(4:5, :)), eQmisi, 14, [t ' : dh(5:7, :) [Qmisi]']);
e = [[0 0 0 0 6 6 7] zeros(1, 10) [18 19] zeros(1, vN-19)];
t_is(full(dh(6, :)), e, 14, [t ' : dh(6, :) [mynli(1,1)]']);
e = [[0 0 0 0 6 6 7; 0 0 0 0 0 1 0] zeros(2, 12) [20 21; 0 0] zeros(2, vN-21)];
t_is(full(dh(7:8, :)), e, 14, [t ' : dh(7:8, :) [mynli(1,2)]']);
e = [[0 0 0 0 7 6 7; 0 0 0 0 0 2 0] zeros(2, 14) [22 23 24; 0 0 0] zeros(2, vN-24)];
t_is(full(dh(9:10, :)), e, 14, [t ' : dh(9:10, :) [mynli(2,1)]']);
emynli22 = [[0 0 0 0 7 6 7; 0 0 0 0 0 2 0; 0 0 0 0 0 0 2] zeros(3, 17) [25 26; 0 0; 0 0] zeros(3, vN-26)];
t_is(full(dh(11:13, :)), emynli22, 14, [t ' : dh(11:13, :) [mynli(2,2)]']);
t = '[h, dh] = om.eval_nln_constraint(x, 0, ''Pmisi'')';
x = (1:om.var.N)';
[h, dh] = om.eval_nln_constraint(x, 0, 'Pmisi');
t_is(length(h), 3, 14, [t ' : length(h)']);
t_is(h, eh([1:3]), 14, [t ' : h']);
t_is(full(dh), ePmisi(:, [5:7 1:4]), 14, [t ' : dh']);
t = '[h, dh] = om.eval_nln_constraint(x, 0, ''Qmisi'')';
x = (1:om.var.N)';
[h, dh] = om.eval_nln_constraint(x, 0, 'Qmisi');
t_is(length(h), 2, 14, [t ' : length(h)']);
t_is(h, eh([4:5]), 14, [t ' : h']);
t_is(full(dh), eQmisi, 14, [t ' : dh']);
t = '[h, dh] = om.eval_nln_constraint(x, 0, ''mynli'', {2,2})';
x = (1:om.var.N)';
[h, dh] = om.eval_nln_constraint(x, 0, 'mynli', {2,2});
t_is(length(h), 3, 14, [t ' : length(h)']);
t_is(h, eh(11:13), 14, [t ' : h']);
t_is(full(dh), emynli22(:, [5:7 25:26]), 14, [t ' : dh']);
% h
% full(dh)'
t = 'eval_nln_constraint_hess';
lam = (1:neN)'/100;
d2G = om.eval_nln_constraint_hess(x, lam, 1);
t_ok(issparse(d2G), [t ' : issparse(d2G)']);
t_is(size(d2G), [vN, vN], 14, [t ' : size(d2G)']);
% t_is(full(d2G(27:end, :)), zeros(vN-26, vN), 14, [t ' : d2G(27:end, :)']);
% t_is(full(d2G(:, 27:end)), zeros(vN, vN-26), 14, [t ' : d2G(:, 27:end)']);
e = sparse([1:3 5:7 25], [1:3 5:7 25], [33.2 24.18 26.2 56.8 62.86 60.76 27.25], vN, vN);
t_is(d2G, e, 13, [t ' : d2G']);
% d2G
lam = -(1:niN)'/100;
d2H = om.eval_nln_constraint_hess(x, lam, 0);
t_ok(issparse(d2H), [t ' : issparse(d2H)']);
t_is(size(d2H), [vN, vN], 14, [t ' : size(d2H)']);
% t_is(full(d2H(27:end, :)), zeros(vN-26, vN), 14, [t ' : d2H(27:end, :)']);
% t_is(full(d2H(:, 27:end)), zeros(vN, vN-26), 14, [t ' : d2H(:, 27:end)']);
e = sparse([1:2 5:7], [1:2 5:7], [-9.04 -8.05 20.66 18.68 5.84], vN, vN);
t_is(d2H, e, 13, [t ' : d2H']);
%d2H
%%----- add_quad_cost -----
t = 'add_quad_cost';
qcN = 0;
qcNS = 0;
t_ok(om.getN('qdc') == qcN, sprintf('%s : qdc.N = %d', t, qcN));
t_ok(om.get('qdc', 'NS') == qcNS, sprintf('%s : qdc.NS = %d', t, qcNS));
t = 'om.add_quad_cost(''qc1'', <mat>Q, c, k, {''Pg'', ''Va''})';
n = nVa + nPg;
Q1 = sparse(1:n, 1:n, 1:n, n, n) + sparse(1:n, n:-1:1, 1:n, n, n);
c1 = 10*(1:n)';
k1 = n;
om.add_quad_cost('qc1', Q1, c1, k1, {'Pg', 'Va'});
qcNS = qcNS + 1; qcN = qcN + 1;
t_ok(om.getN('qdc') == qcN, sprintf('%s : qdc.N = %d', t, qcN));
t_ok(om.get('qdc', 'NS') == qcNS, sprintf('%s : qdc.NS = %d', t, qcNS));
t = 'om.add_quad_cost(''qc2'', <mat>Q, c)';
n = om.getN('var');
Q2 = sparse(1, 1:n, 1:n, n, n) + sparse(1:n, 1, n:-1:1, n, n);
c2 = 10*(n:-1:1)';
om.add_quad_cost('qc2', Q2, c2);
qcNS = qcNS + 1; qcN = qcN + 1;
t_ok(om.getN('qdc') == qcN, sprintf('%s : qdc.N = %d', t, qcN));
t_ok(om.get('qdc', 'NS') == qcNS, sprintf('%s : qdc.NS = %d', t, qcNS));
t = 'om.add_quad_cost(''qc3'', <vec>Q, c, k, {''Vm2'', ''Pg''})';
n = nVm2 + nPg;
Q3 = 2*(1:n)';
c3 = -1*(1:n)';
k3 = -n;
om.add_quad_cost('qc3', Q3, c3, k3, {'Vm2', 'Pg'});
qcNS = qcNS + 1; qcN = qcN + n;
t_ok(om.getN('qdc') == qcN, sprintf('%s : qdc.N = %d', t, qcN));
t_ok(om.get('qdc', 'NS') == qcNS, sprintf('%s : qdc.NS = %d', t, qcNS));
t = 'om.add_quad_cost(''qc4'', <vec>Q, [], 0, vs)';
n = om.getN('var', 'x', {2,1}) + om.getN('var', 'y', {1,1,1});
Q4 = 1./(1:n)';
vs = struct('name', {'x', 'y'}, 'idx', {{2,1}, {1,1,1}});
om.add_quad_cost('qc4', Q4, [], 0, vs);
qcNS = qcNS + 1; qcN = qcN + n;
t_ok(om.getN('qdc') == qcN, sprintf('%s : qdc.N = %d', t, qcN));
t_ok(om.get('qdc', 'NS') == qcNS, sprintf('%s : qdc.NS = %d', t, qcNS));
t = 'om.add_quad_cost(''qc5'', [], c, k, {''Pg'', ''Va''})';
n = nVa + nPg;
c5 = 100*(1:n)';
k5 = (1:n)';
om.add_quad_cost('qc5', [], c5, k5, {'Pg', 'Va'});
qcNS = qcNS + 1; qcN = qcN + n;
t_ok(om.getN('qdc') == qcN, sprintf('%s : qdc.N = %d', t, qcN));
t_ok(om.get('qdc', 'NS') == qcNS, sprintf('%s : qdc.NS = %d', t, qcNS));
t = 'om.add_quad_cost(''qc6'', [], c, <sclr>k)';
n = om.getN('var');
c6 = -(1:n)';
k6 = 3;
om.add_quad_cost('qc6', [], c6, k6);
qcNS = qcNS + 1; qcN = qcN + n;
t_ok(om.getN('qdc') == qcN, sprintf('%s : qdc.N = %d', t, qcN));
t_ok(om.get('qdc', 'NS') == qcNS, sprintf('%s : qdc.NS = %d', t, qcNS));
t = 'om.init_indexed_name(''qdc'', ''qc'', {2,2})';
om.init_indexed_name('qdc', 'qc', {2,2});
t_ok(om.getN('qdc') == qcN, sprintf('%s : qdc.N = %d', t, qcN));
t_ok(om.get('qdc', 'NS') == qcNS, sprintf('%s : qdc.NS = %d', t, qcNS));
for i = 1:2
for j = 1:2
t = 'om.add_quad_cost(''qc'', {i, j}, cp, vs)';
n = nPg + om.getN('var', 'x', {i,j});
QQ = sparse(1:n, 1:n, 1:n, n, n) + sparse(1:n, n*ones(n,1), 1:n, n, n);
cc = -2*(1:n)';
kk = 1000;
vs = struct('name', {'Pg', 'x'}, 'idx', {{}, {i,j}});
om.add_quad_cost('qc', {i, j}, QQ, cc, kk, vs);
qcNS = qcNS + 1; qcN = qcN + 1;
t_ok(om.getN('qdc') == qcN, sprintf('%s : qdc.N = %d', t, qcN));
t_ok(om.get('qdc', 'NS') == qcNS, sprintf('%s : qdc.NS = %d', t, qcNS));
end
end
%%----- params_quad_cost -----
t = 'om.params_quad_cost(''qc1'')';
[Q, c, k, vs] = om.params_quad_cost('qc1');
t_is(Q, Q1, 14, [t, ' : Q']);
t_is(c, c1, 14, [t, ' : c']);
t_is(k, k1, 14, [t, ' : k']);
vs1 = struct('name', {'Pg', 'Va'}, 'idx', {{}, {}});
t_ok(isequal(vs, vs1), [t, ' : vs']);
t = 'om.params_quad_cost(''qc2'')';
[Q, c, k, vs] = om.params_quad_cost('qc2');
t_is(Q, Q2, 14, [t, ' : Q']);
t_is(c, c2, 14, [t, ' : c']);
t_is(k, 0, 14, [t, ' : k']);
t_ok(isequal(vs, {}), [t, ' : vs']);
t = 'om.params_quad_cost(''qc3'')';
[Q, c, k] = om.params_quad_cost('qc3');
t_is(Q, Q3, 14, [t, ' : Q']);
t_is(c, c3, 14, [t, ' : c']);
t_is(k, k3, 14, [t, ' : k']);
t = 'om.params_quad_cost(''qc4'')';
[Q, c] = om.params_quad_cost('qc4');
t_is(Q, Q4, 14, [t, ' : Q']);
t_ok(isempty(c), [t, ' : c']);
% t_is(k, 0, 14, [t, ' : k']);
t = 'om.params_quad_cost(''qc5'')';
[Q, c, k] = om.params_quad_cost('qc5');
t_ok(isempty(Q), [t, ' : Q']);
t_is(c, c5, 14, [t, ' : c']);
t_is(k, k5, 14, [t, ' : k']);
t = 'om.params_quad_cost(''qc6'')';
[Q, c, k] = om.params_quad_cost('qc6');
t_ok(isempty(Q), [t, ' : Q']);
t_is(c, c6, 14, [t, ' : c']);
t_is(k, k6, 14, [t, ' : k']);
for i = 1:2
for j = 1:2
t = sprintf('om.params_quad_cost(''qc'', {%d, %d})', i, j);
n = nPg + om.getN('var', 'x', {i,j});
QQ = sparse(1:n, 1:n, 1:n, n, n) + sparse(1:n, n*ones(n,1), 1:n, n, n);
cc = -2*(1:n)';
kk = 1000;
[Q, c, k] = om.params_quad_cost('qc', {i,j});
t_is(Q, QQ, 14, [t, ' : Q']);
t_is(c, cc, 14, [t, ' : c']);
t_is(k, kk, 14, [t, ' : k']);
end
end
t = 'om.params_quad_cost()';
[Q, c, k] = om.params_quad_cost();
% [ii, jj, ss] = find(Q)
ii = [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 1 2 7 1 3 6 1 4 5 1 4 5 1 3 6 1 2 7 1 1 1 1 1 1 13 1 14 1 15 1 16 1 17 1 18 1 5 6 7 18 19 1 20 1 5 6 7 20 21 1 22 1 23 1 5 6 7 22 23 24 1 25 1 5 6 7 25 26 1 27 1 28 1 29 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]';
jj = [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 9 10 11 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 19 19 19 19 20 20 21 21 21 21 21 21 22 22 23 23 24 24 24 24 24 24 24 25 25 26 26 26 26 26 26 27 27 28 28 29 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170]';
ss = [179 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151 150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131 130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 2 5 3 3 6 2 4 7 1 5 7 17 6 6 24 7 5 31 8 9 10 11 12 13 2 14 4 15 6 16 8 17 10 18 4 19 1 2 3 4 10 20 4 21 1 2 3 4 10 22 5 23 5.5 24 1 2 3 4 5 12.3333333333333333 25 4 26 1 2 3 4 10 27 0.25 28 0.2 29 0.1666666666666667 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170];
QQ = sparse(ii, jj, ss, om.var.N, om.var.N);
cc = [ 2139 2238 2337 2436 1751 1841 1931 1622 1611 1600 1589 1578 1566 1554 1542 1530 1518 1504 1491 1482 1469 1460 1447 1434 1427 1414 1413 1402 1391 1380 1369 1358 1347 1336 1325 1314 1303 1292 1281 1270 1259 1248 1237 1226 1215 1204 1193 1182 1171 1160 1149 1138 1127 1116 1105 1094 1083 1072 1061 1050 1039 1028 1017 1006 995 984 973 962 951 940 929 918 907 896 885 874 863 852 841 830 819 808 797 786 775 764 753 742 731 720 709 698 687 676 665 654 643 632 621 610 599 588 577 566 555 544 533 522 511 500 489 478 467 456 445 434 423 412 401 390 379 368 357 346 335 324 313 302 291 280 269 258 247 236 225 214 203 192 181 170 159 148 137 126 115 104 93 82 71 60 49 38 27 16 5 -6 -17 -28 -39 -50 -61 -72 -83 -94 -105 -116 -127 -138 -149 -160]';
t_is(Q, QQ, 14, [t, ' : Q']);
t_is(c, cc, 14, [t, ' : c']);
t_is(k, k1+k3*length(Q3)+sum(k5)+k6*length(c6)+4000, 14, [t, ' : k']);