File: tensor_cp_test.cc

package info (click to toggle)
btas 1.0.0-1
  • links: PTS, VCS
  • area: main
  • in suites: sid
  • size: 2,132 kB
  • sloc: cpp: 26,486; ansic: 1,545; makefile: 5
file content (380 lines) | stat: -rw-r--r-- 13,446 bytes parent folder | download | duplicates (2)
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
#ifdef BTAS_HAS_BLAS_LAPACK
#include <btas/btas.h>
#include <btas/generic/converge_class.h>
#include "../unittest/test.h"

#include <fstream>
#include <iomanip>
#include <iostream>

#include <libgen.h>

#define BTAS_ENABLE_TUCKER_CP_UT 1
#define BTAS_ENABLE_RANDOM_CP_UT 0

const std::string __dirname = dirname(strdup(__FILE__));

TEST_CASE("CP")
{
  typedef btas::Tensor<double> tensor;
  using conv_class = btas::FitCheck<tensor>;
  using conv_class_coupled = btas::CoupledFitCheck<tensor>;
  using btas::CP_ALS;
  using btas::CP_RALS;
  using btas::CP_DF_ALS;
  using btas::COUPLED_CP_ALS;

  //double epsilon = fmax(1e-10, std::numeric_limits<double>::epsilon());
  double epsilon = 1e-5;
  // TEST_CASE("CP_ALS"){
  tensor D3(5, 2, 9);
  std::ifstream in3(__dirname + "/mat3D.txt");
  CHECK(in3.is_open());
  for (auto &i : D3) {
    in3 >> i;
  }
  in3.close();

  tensor D4(6, 3, 3, 7);
  std::ifstream in4;
  in4.open(__dirname + "/mat4D.txt");
  CHECK(in4.is_open());
  for (auto &i : D4) {
    in4 >> i;
  }
  in4.close();

  tensor D5(2, 6, 1, 9, 3);
  std::ifstream in5;
  in5.open(__dirname + "/mat5D.txt");
  CHECK(in5.is_open());
  for (auto &i : D5) {
    in5 >> i;
  }
  in5.close();

  tensor results(43, 1);
  std::ifstream res(__dirname + "/cp_test_results.txt");
  CHECK(res.is_open());
  for (auto &i : results) {
    res >> i;
  }

  tensor D33(D3.extent(1), D3.extent(2), D3.extent(1), D3.extent(2));
  tensor D44(D4.extent(1), D4.extent(2), D4.extent(3), D4.extent(1), D4.extent(2), D4.extent(3));
  tensor D55(D5.extent(1), D5.extent(2), D5.extent(3), D5.extent(4), D5.extent(1), D5.extent(2), D5.extent(3), D5.extent(4));

  contract(1.0, D3, {1,2,3}, D3, {1,4,5}, 0.0, D33, {2,3,4,5});
  contract(1.0, D4, {1,2,3,4}, D4, {1,5,6,7}, 0.0, D44, {2,3,4,5,6,7});
  contract(1.0, D5, {1,2,3,4,5}, D5, {1,6,7,8,9}, 0.0, D55, {2,3,4,5,6,7,8,9});

  double norm3 = sqrt(dot(D3, D3));
  double norm4 = sqrt(dot(D4, D4));
  double norm5 = sqrt(dot(D5, D5));

  double norm32 = sqrt(dot(D33, D33));
  double norm42 = sqrt(dot(D44, D44));
  double norm52 = sqrt(dot(D55, D55));

  conv_class conv(1e-7);
  // ALS tests
  {
    SECTION("ALS MODE = 3, Finite rank"){
      CP_ALS<tensor, conv_class> A1(D3);
      conv.set_norm(norm3);
      double diff = A1.compute_rank(10, conv, 1, false, 0, 100, false, false, true);
      CHECK(std::abs(diff) <= epsilon);
    }
    SECTION("ALS MODE = 3, Finite error"){
      CP_ALS<tensor, conv_class> A1(D3);
      conv.set_norm(norm3);
      double diff = A1.compute_error(conv, 1e-7, 1, 99);
      CHECK(std::abs(diff) <= epsilon);
    }
#if BTAS_ENABLE_TUCKER_CP_UT
    SECTION("ALS MODE = 3, Tucker + CP"){
      auto d = D3;
      btas::TUCKER_CP_ALS<tensor, conv_class> A1(d, 1e-3);
      conv.set_norm(norm3);
      double diff = A1.compute_rank(10, conv, 1, false,
                                    0, 100, false, false, true);
      CHECK(std::abs(diff) <= epsilon);
    }
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
    SECTION("ALS MODE = 3, Random + CP"){
      auto d = D3;
      CP_ALS<tensor, conv_class> A1(d);
      conv.set_norm(norm3);
      double diff = 1.0 - A1.compress_compute_rand(2, conv, 0, 2, 5, true, false, 100, true);
      CHECK(std::abs(diff - results(3,0)) <= epsilon);
    }
#endif
    SECTION("ALS MODE = 4, Finite rank"){
      CP_ALS<tensor, conv_class> A1(D4);
      conv.set_norm(norm4);
      double diff = A1.compute_rank(55, conv, 1, true, 55);
      CHECK(std::abs(diff) <= epsilon);
    }
    SECTION("ALS MODE = 4, Finite error"){
      CP_ALS<tensor, conv_class> A1(D4);
      conv.set_norm(norm4);
      double diff = A1.compute_error(conv, 1e-2, 1, 57, true, 55);
      CHECK(std::abs(diff) <= epsilon);
    }
#if BTAS_ENABLE_TUCKER_CP_UT
    SECTION("ALS MODE = 4, Tucker + CP"){
      auto d = D4;
      btas::TUCKER_CP_ALS<tensor, conv_class> A1(d, 1e-3);
      conv.set_norm(norm4);
      double diff = A1.compute_rank(55, conv, 1, true, 55);
      CHECK(std::abs(diff) <= /* NB error too large with netlib blas on linux */ 3 * epsilon);
    }
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
    SECTION("ALS MODE = 4, Random + CP"){
      auto d = D4;
      CP_ALS<tensor, conv_class> A1(d);
      conv.set_norm(norm4);
      double diff = 1.0 - A1.compress_compute_rand(3, conv, 0, 2, 1, true, false, 20, true);
      CHECK(std::abs(diff - results(7,0)) <= epsilon);
    }
#endif
    SECTION("ALS MODE = 5, Finite rank"){
      CP_ALS<tensor, conv_class> A1(D5);
      conv.set_norm(norm5);
      double diff = A1.compute_rank(57, conv, 1, true, 57);
      CHECK(std::abs(diff) <= epsilon);
    }
     SECTION("ALS MODE = 5, Finite error"){
      CP_ALS<tensor, conv_class> A1(D5);
      conv.set_norm(norm5);
      double diff = A1.compute_error(conv, 1e-2, 1, 60, true, 57);
      CHECK(std::abs(diff) <= epsilon);
    }
#if BTAS_ENABLE_TUCKER_CP_UT
    SECTION("ALS MODE = 5, Tucker + CP"){
      auto d = D5;
      btas::TUCKER_CP_ALS<tensor, conv_class> A1(d, 1e-3);
      conv.set_norm(norm5);
      double diff = A1.compute_rank(67, conv, 1, true, 67);
      CHECK(std::abs(diff) <= epsilon);
    }
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
    SECTION("ALS MODE = 5, Random + CP"){
      auto d = D5;
      CP_ALS<tensor, conv_class> A1(d);
      conv.set_norm(norm5);
      double diff = 1.0 - A1. compress_compute_rand(1, conv, 0, 2, 5, true, false, 100, false);
      CHECK(std::abs(diff - results(11,0)) <= epsilon);
    }
#endif
  }
  // RALS tests
  {
    SECTION("RALS MODE = 3, Finite rank") {
      CP_RALS<tensor, conv_class> A1(D3);
      conv.set_norm(norm3);
      double diff = A1.compute_rank(10, conv, 1, false, 0, 100, false, false, true);
      CHECK(std::abs(diff) <= epsilon);
    }
    SECTION("RALS MODE = 3, Finite error") {
      CP_RALS<tensor, conv_class> A1(D3);
      conv.set_norm(norm3);
      double diff = A1.compute_error(conv, 1e-7, 1, 99);
      CHECK(std::abs(diff) <= epsilon);
    }
#if BTAS_ENABLE_TUCKER_CP_UT
    SECTION("RALS MODE = 3, Tucker + CP") {
      auto d = D3;

      btas::TUCKER_CP_RALS<tensor, conv_class> A1(d, 1e-3);
      conv.set_norm(norm3);
      double diff = A1.compute_rank(10, conv, 1, false, 0, 100, false, false, true);
      CHECK(std::abs(diff) <= epsilon);
    }
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
    SECTION("RALS MODE = 3, Random + CP") {
      auto d = D3;
      CP_RALS<tensor, conv_class> A1(d);
      conv.set_norm(norm3);
      double diff = 1.0 - A1.compress_compute_rand(2, conv, 0, 2, 5, true, false, 100, true);
      CHECK(std::abs(diff - results(15, 0)) <= epsilon);
    }
#endif
    SECTION("RALS MODE = 4, Finite rank") {
      CP_RALS<tensor, conv_class> A1(D4);
      conv.set_norm(norm4);
      double diff = A1.compute_rank(55, conv, 1, true, 55);
      CHECK(std::abs(diff) <= epsilon);
    }
    SECTION("RALS MODE = 4, Finite error") {
      CP_RALS<tensor, conv_class> A1(D4);
      conv.set_norm(norm4);
      double diff = A1.compute_error(conv, 1e-2, 1, 57, true, 55);
      CHECK(std::abs(diff) <= epsilon);
    }
#if BTAS_ENABLE_TUCKER_CP_UT
    SECTION("RALS MODE = 4, Tucker + CP") {
      auto d = D4;
      btas::TUCKER_CP_RALS<tensor, conv_class> A1(d, 1e-3);
      conv.set_norm(norm4);
      double diff = A1.compute_rank(55, conv, 1, true, 55);
      CHECK(std::abs(diff) <= /* NB error too large with netlib blas on linux */ 3 * epsilon);
    }
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
    SECTION("RALS MODE = 4, Random + CP") {
      auto d = D4;
      CP_RALS<tensor, conv_class> A1(d);
      conv.set_norm(norm4);
      double diff = 1.0 - A1.compress_compute_rand(3, conv, 0, 2, 1, true, false, 20, true);
      CHECK(std::abs(diff - results(19, 0)) <= epsilon);
    }
#endif
    SECTION("RALS MODE = 5, Finite rank"){
      CP_RALS<tensor, conv_class> A1(D5);
      conv.set_norm(norm5);
      double diff = A1.compute_rank(57, conv, 1, true, 57);
      CHECK(std::abs(diff) <= epsilon);
    }
    SECTION("RALS MODE = 5, Finite error"){
      CP_RALS<tensor, conv_class> A1(D5);
      conv.set_norm(norm5);
      double diff = A1.compute_error(conv, 1e-2, 1, 60, true, 57);
      CHECK(std::abs(diff) <= epsilon);
    }
#if BTAS_ENABLE_TUCKER_CP_UT
    SECTION("RALS MODE = 5, Tucker + CP"){
      auto d = D5;
      btas::TUCKER_CP_RALS<tensor, conv_class > A1(d, 1e-1);
      conv.set_norm(norm5);
      double diff = A1.compute_rank(67, conv, 1, true, 67);
      CHECK(std::abs(diff) <= epsilon);
    }
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
    SECTION("RALS MODE = 5, Random + CP"){
      auto d = D5;
      CP_RALS<tensor, conv_class> A1(d);
      conv.set_norm(norm5);
      double diff = 1.0 - A1.compress_compute_rand(1, conv, 0, 2, 5, true, false, 100, true);
      CHECK(std::abs(diff - results(23,0)) <= epsilon);
    }
#endif
  }

  // CP-DF-ALS tests
  // TODO I Think there is something wrong with CP-DF ALS solver with rank higher than 4.
  {
    SECTION("DF-ALS MODE = 3, Finite rank") {
      CP_DF_ALS<tensor, conv_class> A1(D3, D3);
      conv.set_norm(norm32);
      double diff = A1.compute_rank(40, conv, 1, true, 40);
      CHECK(std::abs(diff) <= epsilon);
    }
    SECTION("DF-ALS MODE = 3, Finite error") {
      CP_DF_ALS<tensor, conv_class> A1(D3, D3);
      conv.set_norm(norm32);
      double diff = A1.compute_error(conv, 1e-8, 1, 43, true, 39);
      CHECK(std::abs(diff) <= epsilon);
    }
    SECTION("DF-ALS MODE = 3, component decomposition") {
      CP_DF_ALS<tensor, conv_class> A1(D3, D3);
      conv.set_norm(norm32);
      double diff = A1.compute_comp_init(10, conv, 1000, true, false, true, 1e-2, 50);
      CHECK(std::abs(diff) <= epsilon);
    }
    /*SECTION("DF-ALS MODE = 4, Finite rank") {
      CP_DF_ALS<tensor, conv_class> A1(D4, D4);
      conv.set_norm(norm42);
      double diff = A1.compute_rank(500, conv, 1, true, 500);
      CHECK(std::abs(diff - 0.26010657273) <= epsilon);
    }
    SECTION("DF-ALS MODE = 4, Finite error") {
      CP_DF_ALS<tensor, conv_class> A1(D4, D4);
      conv.set_norm(norm42);
      double diff = A1.compute_error(conv, 1e-2, 1, 1000, true, 999);
      CHECK(std::abs(diff - 0.26010657273) <= epsilon);
    }
    SECTION("DF-ALS MODE = 4, component decompsoition") {
      CP_DF_ALS<tensor, conv_class> A1(D4, D4);
      conv.set_norm(norm42);
      double diff = A1.compute_comp_init(5, conv, 20);
      CHECK(std::abs(diff - results(29, 0)) <= epsilon);
    }*/
    /*SECTION("DF-ALS MODE = 5, Finite rank") {
      CP_DF_ALS<tensor, conv_class> A1(D5, D5);
      conv.set_norm(norm52);
      double diff = A1.compute_rank(900, conv, 1, true, 900);
      //CHECK(std::abs(diff - results(30, 0)) <= epsilon);
    }
    SECTION("DF-ALS MODE = 5, Finite error") {
      CP_DF_ALS<tensor, conv_class> A1(D5, D5);
      conv.set_norm(norm52);
      double diff = 1.0 - A1.compute_error(conv, 1e-2, 1, 1, false, 0, 100, false, true);
      CHECK(std::abs(diff - results(31, 0)) <= epsilon);
    }
    SECTION("DF-ALS MODE = 5, Component decomposition") {
      CP_DF_ALS<tensor, conv_class> A1(D5, D5);
      conv.set_norm(norm52);
      double diff = 1.0 - A1.compute_comp_init(5, conv, 20);
      CHECK(std::abs(diff - results(32, 0)) <= epsilon);
    }*/
  }
  // coupled ALS test
  {
    SECTION("COUPLED-ALS MODE = 3, Finite rank") {
      conv_class_coupled conv_coupled(3, 1e-3);
      COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D3, D3);
      conv_coupled.set_norm(norm3, norm3);
      double diff = A1.compute_rank(10, conv_coupled);
      CHECK(std::abs(diff) <= epsilon);
    }
    SECTION("COUPLED-ALS MODE = 3, Finite error") {
      conv_class_coupled conv_coupled(3, 1e-3);
      COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D3, D3);
      conv_coupled.set_norm(norm3, norm3);
      double diff = A1.compute_error(conv_coupled, 1e-7, 1, 10);
      CHECK(std::abs(diff) <= epsilon);
    }
    // TODO These are harder problems and thus take too much effort for
    // unit tests. They decompose 2 order 4 and 2 order 5 tensors simultaneously
    // finding 7 and 9 unique factor matrices for each problem.
   /* SECTION("COUPLED-ALS MODE = 4, Finite rank") {
      conv_class_coupled conv_coupled(4, 1e-5);
      conv_coupled.verbose(true);
      COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D4, D4);
      conv_coupled.set_norm(norm4, norm4);
      double diff = A1.compute_rank(320, conv_coupled, 1, true, 300);
      // CHECK(std::abs(diff) <= epsilon);
    }
    SECTION("COUPLED-ALS MODE = 4, Finite error") {
      conv_class_coupled conv_coupled(4, 1e-3);
      COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D4, D4);
      conv_coupled.set_norm(norm4, norm4);
      double diff = 1.0 - A1.compute_error(conv_coupled, 1e-2, 1, 19);
      CHECK(std::abs(diff - results(36, 0)) <= epsilon);
    }*/
    /*
   //TODO: Find more efficient ways to evaluate next two tests
   SECTION("COUPLED-ALS MODE = 5, Finite rank"){
     conv_class_coupled conv_coupled(5, 1e-3);
     COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D5, D5);
     conv_coupled.set_norm(norm5, norm5);
     double diff = 1.0 - A1.compute_rank(5,conv_coupled);
     CHECK(std::abs(diff - results(37,0)) <= epsilon);
   }
   SECTION("COUPLED-ALS MODE = 5, Finite error"){
     conv_class_coupled conv_coupled(5, 1e-3);
     COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D5, D5);
     conv_coupled.set_norm(norm5, norm5);
     double diff = 1.0 - A1.compute_error(conv_coupled, 1e-2, 1, 19);
     CHECK(std::abs(diff - results(38,0)) <= epsilon);
   }
     */
  }
}
#endif