1// Copyright 2010 the V8 project authors. All rights reserved.
2// Redistribution and use in source and binary forms, with or without
3// modification, are permitted provided that the following conditions are
4// met:
5//
6//     * Redistributions of source code must retain the above copyright
7//       notice, this list of conditions and the following disclaimer.
8//     * Redistributions in binary form must reproduce the above
9//       copyright notice, this list of conditions and the following
10//       disclaimer in the documentation and/or other materials provided
11//       with the distribution.
12//     * Neither the name of Google Inc. nor the names of its
13//       contributors may be used to endorse or promote products derived
14//       from this software without specific prior written permission.
15//
16// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
17// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
18// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
19// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
20// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
21// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
22// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
23// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
24// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
25// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
26// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
27
28#include <stdlib.h>
29#include <string.h>
30
31
32#include "double-conversion/bignum.h"
33#include "cctest.h"
34#include "double-conversion/utils.h"
35
36using namespace double_conversion;
37
38
39static const int kBufferSize = 1024;
40
41static void AssignHexString(Bignum* bignum, const char* str) {
42  int len = static_cast<int>(strlen(str));
43  bignum->AssignHexString(Vector<const char>(str, len));
44}
45
46
47static void AssignDecimalString(Bignum* bignum, const char* str) {
48  int len = static_cast<int>(strlen(str));
49  bignum->AssignDecimalString(Vector<const char>(str, len));
50}
51
52
53TEST(Assign) {
54  char buffer[kBufferSize];
55  Bignum bignum;
56  Bignum bignum2;
57  bignum.AssignUInt16(0);
58  CHECK(bignum.ToHexString(buffer, kBufferSize));
59  CHECK_EQ("0", buffer);
60  bignum.AssignUInt16(0xA);
61  CHECK(bignum.ToHexString(buffer, kBufferSize));
62  CHECK_EQ("A", buffer);
63  bignum.AssignUInt16(0x20);
64  CHECK(bignum.ToHexString(buffer, kBufferSize));
65  CHECK_EQ("20", buffer);
66
67
68  bignum.AssignUInt64(0);
69  CHECK(bignum.ToHexString(buffer, kBufferSize));
70  CHECK_EQ("0", buffer);
71  bignum.AssignUInt64(0xA);
72  CHECK(bignum.ToHexString(buffer, kBufferSize));
73  CHECK_EQ("A", buffer);
74  bignum.AssignUInt64(0x20);
75  CHECK(bignum.ToHexString(buffer, kBufferSize));
76  CHECK_EQ("20", buffer);
77  bignum.AssignUInt64(0x100);
78  CHECK(bignum.ToHexString(buffer, kBufferSize));
79  CHECK_EQ("100", buffer);
80
81  // The first real test, since this will not fit into one bigit.
82  bignum.AssignUInt64(0x12345678);
83  CHECK(bignum.ToHexString(buffer, kBufferSize));
84  CHECK_EQ("12345678", buffer);
85
86  uint64_t big = DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF);
87  bignum.AssignUInt64(big);
88  CHECK(bignum.ToHexString(buffer, kBufferSize));
89  CHECK_EQ("FFFFFFFFFFFFFFFF", buffer);
90
91  big = DOUBLE_CONVERSION_UINT64_2PART_C(0x12345678, 9ABCDEF0);
92  bignum.AssignUInt64(big);
93  CHECK(bignum.ToHexString(buffer, kBufferSize));
94  CHECK_EQ("123456789ABCDEF0", buffer);
95
96  bignum2.AssignBignum(bignum);
97  CHECK(bignum2.ToHexString(buffer, kBufferSize));
98  CHECK_EQ("123456789ABCDEF0", buffer);
99
100  AssignDecimalString(&bignum, "0");
101  CHECK(bignum.ToHexString(buffer, kBufferSize));
102  CHECK_EQ("0", buffer);
103
104  AssignDecimalString(&bignum, "1");
105  CHECK(bignum.ToHexString(buffer, kBufferSize));
106  CHECK_EQ("1", buffer);
107
108  AssignDecimalString(&bignum, "1234567890");
109  CHECK(bignum.ToHexString(buffer, kBufferSize));
110  CHECK_EQ("499602D2", buffer);
111
112  AssignHexString(&bignum, "0");
113  CHECK(bignum.ToHexString(buffer, kBufferSize));
114  CHECK_EQ("0", buffer);
115
116  AssignHexString(&bignum, "123456789ABCDEF0");
117  CHECK(bignum.ToHexString(buffer, kBufferSize));
118  CHECK_EQ("123456789ABCDEF0", buffer);
119}
120
121
122TEST(ShiftLeft) {
123  char buffer[kBufferSize];
124  Bignum bignum;
125  AssignHexString(&bignum, "0");
126  bignum.ShiftLeft(100);
127  CHECK(bignum.ToHexString(buffer, kBufferSize));
128  CHECK_EQ("0", buffer);
129
130  AssignHexString(&bignum, "1");
131  bignum.ShiftLeft(1);
132  CHECK(bignum.ToHexString(buffer, kBufferSize));
133  CHECK_EQ("2", buffer);
134
135  AssignHexString(&bignum, "1");
136  bignum.ShiftLeft(4);
137  CHECK(bignum.ToHexString(buffer, kBufferSize));
138  CHECK_EQ("10", buffer);
139
140  AssignHexString(&bignum, "1");
141  bignum.ShiftLeft(32);
142  CHECK(bignum.ToHexString(buffer, kBufferSize));
143  CHECK_EQ("100000000", buffer);
144
145  AssignHexString(&bignum, "1");
146  bignum.ShiftLeft(64);
147  CHECK(bignum.ToHexString(buffer, kBufferSize));
148  CHECK_EQ("10000000000000000", buffer);
149
150  AssignHexString(&bignum, "123456789ABCDEF");
151  bignum.ShiftLeft(64);
152  CHECK(bignum.ToHexString(buffer, kBufferSize));
153  CHECK_EQ("123456789ABCDEF0000000000000000", buffer);
154  bignum.ShiftLeft(1);
155  CHECK(bignum.ToHexString(buffer, kBufferSize));
156  CHECK_EQ("2468ACF13579BDE0000000000000000", buffer);
157}
158
159
160TEST(AddUInt64) {
161  char buffer[kBufferSize];
162  Bignum bignum;
163  AssignHexString(&bignum, "0");
164  bignum.AddUInt64(0xA);
165  CHECK(bignum.ToHexString(buffer, kBufferSize));
166  CHECK_EQ("A", buffer);
167
168  AssignHexString(&bignum, "1");
169  bignum.AddUInt64(0xA);
170  CHECK(bignum.ToHexString(buffer, kBufferSize));
171  CHECK_EQ("B", buffer);
172
173  AssignHexString(&bignum, "1");
174  bignum.AddUInt64(0x100);
175  CHECK(bignum.ToHexString(buffer, kBufferSize));
176  CHECK_EQ("101", buffer);
177
178  AssignHexString(&bignum, "1");
179  bignum.AddUInt64(0xFFFF);
180  CHECK(bignum.ToHexString(buffer, kBufferSize));
181  CHECK_EQ("10000", buffer);
182
183  AssignHexString(&bignum, "FFFFFFF");
184  bignum.AddUInt64(0x1);
185  CHECK(bignum.ToHexString(buffer, kBufferSize));
186  CHECK_EQ("10000000", buffer);
187
188  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
189  bignum.AddUInt64(0xFFFF);
190  CHECK(bignum.ToHexString(buffer, kBufferSize));
191  CHECK_EQ("1000000000000000000000000000000000000000FFFF", buffer);
192
193  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
194  bignum.AddUInt64(0x1);
195  CHECK(bignum.ToHexString(buffer, kBufferSize));
196  CHECK_EQ("100000000000000000000000000000000000000000000", buffer);
197
198  bignum.AssignUInt16(0x1);
199  bignum.ShiftLeft(100);
200  bignum.AddUInt64(1);
201  CHECK(bignum.ToHexString(buffer, kBufferSize));
202  CHECK_EQ("10000000000000000000000001", buffer);
203
204  bignum.AssignUInt16(0x1);
205  bignum.ShiftLeft(100);
206  bignum.AddUInt64(0xFFFF);
207  CHECK(bignum.ToHexString(buffer, kBufferSize));
208  CHECK_EQ("1000000000000000000000FFFF", buffer);
209
210  AssignHexString(&bignum, "0");
211  bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xA, 00000000));
212  CHECK(bignum.ToHexString(buffer, kBufferSize));
213  CHECK_EQ("A00000000", buffer);
214
215  AssignHexString(&bignum, "1");
216  bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xA, 00000000));
217  CHECK(bignum.ToHexString(buffer, kBufferSize));
218  CHECK_EQ("A00000001", buffer);
219
220  AssignHexString(&bignum, "1");
221  bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x100, 00000000));
222  CHECK(bignum.ToHexString(buffer, kBufferSize));
223  CHECK_EQ("10000000001", buffer);
224
225  AssignHexString(&bignum, "1");
226  bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFF, 00000000));
227  CHECK(bignum.ToHexString(buffer, kBufferSize));
228  CHECK_EQ("FFFF00000001", buffer);
229
230  AssignHexString(&bignum, "FFFFFFF");
231  bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x1, 00000000));
232  CHECK(bignum.ToHexString(buffer, kBufferSize));
233  CHECK_EQ("10FFFFFFF", buffer);
234
235  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
236  bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFF, 00000000));
237  CHECK(bignum.ToHexString(buffer, kBufferSize));
238  CHECK_EQ("10000000000000000000000000000000FFFF00000000", buffer);
239
240  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
241  bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x1, 00000000));
242  CHECK(bignum.ToHexString(buffer, kBufferSize));
243  CHECK_EQ("1000000000000000000000000000000000000FFFFFFFF", buffer);
244
245  bignum.AssignUInt16(0x1);
246  bignum.ShiftLeft(100);
247  bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x1, 00000000));
248  CHECK(bignum.ToHexString(buffer, kBufferSize));
249  CHECK_EQ("10000000000000000100000000", buffer);
250
251  bignum.AssignUInt16(0x1);
252  bignum.ShiftLeft(100);
253  bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFF, 00000000));
254  CHECK(bignum.ToHexString(buffer, kBufferSize));
255  CHECK_EQ("10000000000000FFFF00000000", buffer);
256}
257
258
259TEST(AddBignum) {
260  char buffer[kBufferSize];
261  Bignum bignum;
262  Bignum other;
263
264  AssignHexString(&other, "1");
265  AssignHexString(&bignum, "0");
266  bignum.AddBignum(other);
267  CHECK(bignum.ToHexString(buffer, kBufferSize));
268  CHECK_EQ("1", buffer);
269
270  AssignHexString(&bignum, "1");
271  bignum.AddBignum(other);
272  CHECK(bignum.ToHexString(buffer, kBufferSize));
273  CHECK_EQ("2", buffer);
274
275  AssignHexString(&bignum, "FFFFFFF");
276  bignum.AddBignum(other);
277  CHECK(bignum.ToHexString(buffer, kBufferSize));
278  CHECK_EQ("10000000", buffer);
279
280  AssignHexString(&bignum, "FFFFFFFFFFFFFF");
281  bignum.AddBignum(other);
282  CHECK(bignum.ToHexString(buffer, kBufferSize));
283  CHECK_EQ("100000000000000", buffer);
284
285  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
286  bignum.AddBignum(other);
287  CHECK(bignum.ToHexString(buffer, kBufferSize));
288  CHECK_EQ("10000000000000000000000000000000000000000001", buffer);
289
290  AssignHexString(&other, "1000000000000");
291
292  AssignHexString(&bignum, "1");
293  bignum.AddBignum(other);
294  CHECK(bignum.ToHexString(buffer, kBufferSize));
295  CHECK_EQ("1000000000001", buffer);
296
297  AssignHexString(&bignum, "FFFFFFF");
298  bignum.AddBignum(other);
299  CHECK(bignum.ToHexString(buffer, kBufferSize));
300  CHECK_EQ("100000FFFFFFF", buffer);
301
302  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
303  bignum.AddBignum(other);
304  CHECK(bignum.ToHexString(buffer, kBufferSize));
305  CHECK_EQ("10000000000000000000000000000001000000000000", buffer);
306
307  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
308  bignum.AddBignum(other);
309  CHECK(bignum.ToHexString(buffer, kBufferSize));
310  CHECK_EQ("1000000000000000000000000000000FFFFFFFFFFFF", buffer);
311
312  bignum.AssignUInt16(0x1);
313  bignum.ShiftLeft(100);
314  bignum.AddBignum(other);
315  CHECK(bignum.ToHexString(buffer, kBufferSize));
316  CHECK_EQ("10000000000001000000000000", buffer);
317
318  other.ShiftLeft(64);
319  CHECK(other.ToHexString(buffer, kBufferSize));
320  CHECK_EQ("10000000000000000000000000000", buffer);
321
322  bignum.AssignUInt16(0x1);
323  CHECK(bignum.ToHexString(buffer, kBufferSize));
324  CHECK_EQ("1", buffer);
325
326  bignum.AddBignum(other);
327  CHECK(bignum.ToHexString(buffer, kBufferSize));
328  CHECK_EQ("10000000000000000000000000001", buffer);
329
330  AssignHexString(&bignum, "FFFFFFF");
331  bignum.AddBignum(other);
332  CHECK(bignum.ToHexString(buffer, kBufferSize));
333  CHECK_EQ("1000000000000000000000FFFFFFF", buffer);
334
335  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
336  bignum.AddBignum(other);
337  CHECK(bignum.ToHexString(buffer, kBufferSize));
338  CHECK_EQ("10000000000000010000000000000000000000000000", buffer);
339
340  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
341  bignum.AddBignum(other);
342  CHECK(bignum.ToHexString(buffer, kBufferSize));
343  CHECK_EQ("100000000000000FFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer);
344
345  bignum.AssignUInt16(0x1);
346  bignum.ShiftLeft(100);
347  bignum.AddBignum(other);
348  CHECK(bignum.ToHexString(buffer, kBufferSize));
349  CHECK_EQ("10010000000000000000000000000", buffer);
350}
351
352
353TEST(SubtractBignum) {
354  char buffer[kBufferSize];
355  Bignum bignum;
356  Bignum other;
357
358  AssignHexString(&bignum, "1");
359  AssignHexString(&other, "0");
360  bignum.SubtractBignum(other);
361  CHECK(bignum.ToHexString(buffer, kBufferSize));
362  CHECK_EQ("1", buffer);
363
364  AssignHexString(&bignum, "2");
365  AssignHexString(&other, "0");
366  bignum.SubtractBignum(other);
367  CHECK(bignum.ToHexString(buffer, kBufferSize));
368  CHECK_EQ("2", buffer);
369
370  AssignHexString(&bignum, "10000000");
371  AssignHexString(&other, "1");
372  bignum.SubtractBignum(other);
373  CHECK(bignum.ToHexString(buffer, kBufferSize));
374  CHECK_EQ("FFFFFFF", buffer);
375
376  AssignHexString(&bignum, "100000000000000");
377  AssignHexString(&other, "1");
378  bignum.SubtractBignum(other);
379  CHECK(bignum.ToHexString(buffer, kBufferSize));
380  CHECK_EQ("FFFFFFFFFFFFFF", buffer);
381
382  AssignHexString(&bignum, "10000000000000000000000000000000000000000001");
383  AssignHexString(&other, "1");
384  bignum.SubtractBignum(other);
385  CHECK(bignum.ToHexString(buffer, kBufferSize));
386  CHECK_EQ("10000000000000000000000000000000000000000000", buffer);
387
388  AssignHexString(&bignum, "1000000000001");
389  AssignHexString(&other, "1000000000000");
390  bignum.SubtractBignum(other);
391  CHECK(bignum.ToHexString(buffer, kBufferSize));
392  CHECK_EQ("1", buffer);
393
394  AssignHexString(&bignum, "100000FFFFFFF");
395  AssignHexString(&other, "1000000000000");
396  bignum.SubtractBignum(other);
397  CHECK(bignum.ToHexString(buffer, kBufferSize));
398  CHECK_EQ("FFFFFFF", buffer);
399
400  AssignHexString(&bignum, "10000000000000000000000000000001000000000000");
401  AssignHexString(&other, "1000000000000");
402  bignum.SubtractBignum(other);
403  CHECK(bignum.ToHexString(buffer, kBufferSize));
404  CHECK_EQ("10000000000000000000000000000000000000000000", buffer);
405
406  AssignHexString(&bignum, "1000000000000000000000000000000FFFFFFFFFFFF");
407  AssignHexString(&other, "1000000000000");
408  bignum.SubtractBignum(other);
409  CHECK(bignum.ToHexString(buffer, kBufferSize));
410  CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer);
411
412  bignum.AssignUInt16(0x1);
413  bignum.ShiftLeft(100);
414  // "10 0000 0000 0000 0000 0000 0000"
415  AssignHexString(&other, "1000000000000");
416  bignum.SubtractBignum(other);
417  CHECK(bignum.ToHexString(buffer, kBufferSize));
418  CHECK_EQ("FFFFFFFFFFFFF000000000000", buffer);
419
420  AssignHexString(&other, "1000000000000");
421  other.ShiftLeft(48);
422  // other == "1000000000000000000000000"
423
424  bignum.AssignUInt16(0x1);
425  bignum.ShiftLeft(100);
426  // bignum == "10000000000000000000000000"
427  bignum.SubtractBignum(other);
428  CHECK(bignum.ToHexString(buffer, kBufferSize));
429  CHECK_EQ("F000000000000000000000000", buffer);
430
431  other.AssignUInt16(0x1);
432  other.ShiftLeft(35);
433  // other == "800000000"
434  AssignHexString(&bignum, "FFFFFFF");
435  bignum.ShiftLeft(60);
436  // bignum = FFFFFFF000000000000000
437  bignum.SubtractBignum(other);
438  CHECK(bignum.ToHexString(buffer, kBufferSize));
439  CHECK_EQ("FFFFFFEFFFFFF800000000", buffer);
440
441  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
442  bignum.SubtractBignum(other);
443  CHECK(bignum.ToHexString(buffer, kBufferSize));
444  CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF800000000", buffer);
445
446  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
447  bignum.SubtractBignum(other);
448  CHECK(bignum.ToHexString(buffer, kBufferSize));
449  CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFF", buffer);
450}
451
452
453TEST(MultiplyUInt32) {
454  char buffer[kBufferSize];
455  Bignum bignum;
456
457  AssignHexString(&bignum, "0");
458  bignum.MultiplyByUInt32(0x25);
459  CHECK(bignum.ToHexString(buffer, kBufferSize));
460  CHECK_EQ("0", buffer);
461
462  AssignHexString(&bignum, "2");
463  bignum.MultiplyByUInt32(0x5);
464  CHECK(bignum.ToHexString(buffer, kBufferSize));
465  CHECK_EQ("A", buffer);
466
467  AssignHexString(&bignum, "10000000");
468  bignum.MultiplyByUInt32(0x9);
469  CHECK(bignum.ToHexString(buffer, kBufferSize));
470  CHECK_EQ("90000000", buffer);
471
472  AssignHexString(&bignum, "100000000000000");
473  bignum.MultiplyByUInt32(0xFFFF);
474  CHECK(bignum.ToHexString(buffer, kBufferSize));
475  CHECK_EQ("FFFF00000000000000", buffer);
476
477  AssignHexString(&bignum, "100000000000000");
478  bignum.MultiplyByUInt32(0xFFFFFFFF);
479  CHECK(bignum.ToHexString(buffer, kBufferSize));
480  CHECK_EQ("FFFFFFFF00000000000000", buffer);
481
482  AssignHexString(&bignum, "1234567ABCD");
483  bignum.MultiplyByUInt32(0xFFF);
484  CHECK(bignum.ToHexString(buffer, kBufferSize));
485  CHECK_EQ("12333335552433", buffer);
486
487  AssignHexString(&bignum, "1234567ABCD");
488  bignum.MultiplyByUInt32(0xFFFFFFF);
489  CHECK(bignum.ToHexString(buffer, kBufferSize));
490  CHECK_EQ("12345679998A985433", buffer);
491
492  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
493  bignum.MultiplyByUInt32(0x2);
494  CHECK(bignum.ToHexString(buffer, kBufferSize));
495  CHECK_EQ("1FFFFFFFFFFFFFFFE", buffer);
496
497  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
498  bignum.MultiplyByUInt32(0x4);
499  CHECK(bignum.ToHexString(buffer, kBufferSize));
500  CHECK_EQ("3FFFFFFFFFFFFFFFC", buffer);
501
502  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
503  bignum.MultiplyByUInt32(0xF);
504  CHECK(bignum.ToHexString(buffer, kBufferSize));
505  CHECK_EQ("EFFFFFFFFFFFFFFF1", buffer);
506
507  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
508  bignum.MultiplyByUInt32(0xFFFFFF);
509  CHECK(bignum.ToHexString(buffer, kBufferSize));
510  CHECK_EQ("FFFFFEFFFFFFFFFF000001", buffer);
511
512  bignum.AssignUInt16(0x1);
513  bignum.ShiftLeft(100);
514  // "10 0000 0000 0000 0000 0000 0000"
515  bignum.MultiplyByUInt32(2);
516  CHECK(bignum.ToHexString(buffer, kBufferSize));
517  CHECK_EQ("20000000000000000000000000", buffer);
518
519  bignum.AssignUInt16(0x1);
520  bignum.ShiftLeft(100);
521  // "10 0000 0000 0000 0000 0000 0000"
522  bignum.MultiplyByUInt32(0xF);
523  CHECK(bignum.ToHexString(buffer, kBufferSize));
524  CHECK_EQ("F0000000000000000000000000", buffer);
525
526  bignum.AssignUInt16(0xFFFF);
527  bignum.ShiftLeft(100);
528  // "FFFF0 0000 0000 0000 0000 0000 0000"
529  bignum.MultiplyByUInt32(0xFFFF);
530  CHECK(bignum.ToHexString(buffer, kBufferSize));
531  CHECK_EQ("FFFE00010000000000000000000000000", buffer);
532
533  bignum.AssignUInt16(0xFFFF);
534  bignum.ShiftLeft(100);
535  // "FFFF0 0000 0000 0000 0000 0000 0000"
536  bignum.MultiplyByUInt32(0xFFFFFFFF);
537  CHECK(bignum.ToHexString(buffer, kBufferSize));
538  CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer);
539
540  bignum.AssignUInt16(0xFFFF);
541  bignum.ShiftLeft(100);
542  // "FFFF0 0000 0000 0000 0000 0000 0000"
543  bignum.MultiplyByUInt32(0xFFFFFFFF);
544  CHECK(bignum.ToHexString(buffer, kBufferSize));
545  CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer);
546
547  AssignDecimalString(&bignum, "15611230384529777");
548  bignum.MultiplyByUInt32(10000000);
549  CHECK(bignum.ToHexString(buffer, kBufferSize));
550  CHECK_EQ("210EDD6D4CDD2580EE80", buffer);
551}
552
553
554TEST(MultiplyUInt64) {
555  char buffer[kBufferSize];
556  Bignum bignum;
557
558  AssignHexString(&bignum, "0");
559  bignum.MultiplyByUInt64(0x25);
560  CHECK(bignum.ToHexString(buffer, kBufferSize));
561  CHECK_EQ("0", buffer);
562
563  AssignHexString(&bignum, "2");
564  bignum.MultiplyByUInt64(0x5);
565  CHECK(bignum.ToHexString(buffer, kBufferSize));
566  CHECK_EQ("A", buffer);
567
568  AssignHexString(&bignum, "10000000");
569  bignum.MultiplyByUInt64(0x9);
570  CHECK(bignum.ToHexString(buffer, kBufferSize));
571  CHECK_EQ("90000000", buffer);
572
573  AssignHexString(&bignum, "100000000000000");
574  bignum.MultiplyByUInt64(0xFFFF);
575  CHECK(bignum.ToHexString(buffer, kBufferSize));
576  CHECK_EQ("FFFF00000000000000", buffer);
577
578  AssignHexString(&bignum, "100000000000000");
579  bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF));
580  CHECK(bignum.ToHexString(buffer, kBufferSize));
581  CHECK_EQ("FFFFFFFFFFFFFFFF00000000000000", buffer);
582
583  AssignHexString(&bignum, "1234567ABCD");
584  bignum.MultiplyByUInt64(0xFFF);
585  CHECK(bignum.ToHexString(buffer, kBufferSize));
586  CHECK_EQ("12333335552433", buffer);
587
588  AssignHexString(&bignum, "1234567ABCD");
589  bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFF, FFFFFFFF));
590  CHECK(bignum.ToHexString(buffer, kBufferSize));
591  CHECK_EQ("1234567ABCBDCBA985433", buffer);
592
593  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
594  bignum.MultiplyByUInt64(0x2);
595  CHECK(bignum.ToHexString(buffer, kBufferSize));
596  CHECK_EQ("1FFFFFFFFFFFFFFFE", buffer);
597
598  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
599  bignum.MultiplyByUInt64(0x4);
600  CHECK(bignum.ToHexString(buffer, kBufferSize));
601  CHECK_EQ("3FFFFFFFFFFFFFFFC", buffer);
602
603  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
604  bignum.MultiplyByUInt64(0xF);
605  CHECK(bignum.ToHexString(buffer, kBufferSize));
606  CHECK_EQ("EFFFFFFFFFFFFFFF1", buffer);
607
608  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
609  bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF));
610  CHECK(bignum.ToHexString(buffer, kBufferSize));
611  CHECK_EQ("FFFFFFFFFFFFFFFE0000000000000001", buffer);
612
613  bignum.AssignUInt16(0x1);
614  bignum.ShiftLeft(100);
615  // "10 0000 0000 0000 0000 0000 0000"
616  bignum.MultiplyByUInt64(2);
617  CHECK(bignum.ToHexString(buffer, kBufferSize));
618  CHECK_EQ("20000000000000000000000000", buffer);
619
620  bignum.AssignUInt16(0x1);
621  bignum.ShiftLeft(100);
622  // "10 0000 0000 0000 0000 0000 0000"
623  bignum.MultiplyByUInt64(0xF);
624  CHECK(bignum.ToHexString(buffer, kBufferSize));
625  CHECK_EQ("F0000000000000000000000000", buffer);
626
627  bignum.AssignUInt16(0xFFFF);
628  bignum.ShiftLeft(100);
629  // "FFFF0 0000 0000 0000 0000 0000 0000"
630  bignum.MultiplyByUInt64(0xFFFF);
631  CHECK(bignum.ToHexString(buffer, kBufferSize));
632  CHECK_EQ("FFFE00010000000000000000000000000", buffer);
633
634  bignum.AssignUInt16(0xFFFF);
635  bignum.ShiftLeft(100);
636  // "FFFF0 0000 0000 0000 0000 0000 0000"
637  bignum.MultiplyByUInt64(0xFFFFFFFF);
638  CHECK(bignum.ToHexString(buffer, kBufferSize));
639  CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer);
640
641  bignum.AssignUInt16(0xFFFF);
642  bignum.ShiftLeft(100);
643  // "FFFF0 0000 0000 0000 0000 0000 0000"
644  bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF));
645  CHECK(bignum.ToHexString(buffer, kBufferSize));
646  CHECK_EQ("FFFEFFFFFFFFFFFF00010000000000000000000000000", buffer);
647
648  AssignDecimalString(&bignum, "15611230384529777");
649  bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x8ac72304, 89e80000));
650  CHECK(bignum.ToHexString(buffer, kBufferSize));
651  CHECK_EQ("1E10EE4B11D15A7F3DE7F3C7680000", buffer);
652}
653
654
655TEST(MultiplyPowerOfTen) {
656  char buffer[kBufferSize];
657  Bignum bignum;
658
659  AssignDecimalString(&bignum, "1234");
660  bignum.MultiplyByPowerOfTen(1);
661  CHECK(bignum.ToHexString(buffer, kBufferSize));
662  CHECK_EQ("3034", buffer);
663
664  AssignDecimalString(&bignum, "1234");
665  bignum.MultiplyByPowerOfTen(2);
666  CHECK(bignum.ToHexString(buffer, kBufferSize));
667  CHECK_EQ("1E208", buffer);
668
669  AssignDecimalString(&bignum, "1234");
670  bignum.MultiplyByPowerOfTen(3);
671  CHECK(bignum.ToHexString(buffer, kBufferSize));
672  CHECK_EQ("12D450", buffer);
673
674  AssignDecimalString(&bignum, "1234");
675  bignum.MultiplyByPowerOfTen(4);
676  CHECK(bignum.ToHexString(buffer, kBufferSize));
677  CHECK_EQ("BC4B20", buffer);
678
679  AssignDecimalString(&bignum, "1234");
680  bignum.MultiplyByPowerOfTen(5);
681  CHECK(bignum.ToHexString(buffer, kBufferSize));
682  CHECK_EQ("75AEF40", buffer);
683
684  AssignDecimalString(&bignum, "1234");
685  bignum.MultiplyByPowerOfTen(6);
686  CHECK(bignum.ToHexString(buffer, kBufferSize));
687  CHECK_EQ("498D5880", buffer);
688
689  AssignDecimalString(&bignum, "1234");
690  bignum.MultiplyByPowerOfTen(7);
691  CHECK(bignum.ToHexString(buffer, kBufferSize));
692  CHECK_EQ("2DF857500", buffer);
693
694  AssignDecimalString(&bignum, "1234");
695  bignum.MultiplyByPowerOfTen(8);
696  CHECK(bignum.ToHexString(buffer, kBufferSize));
697  CHECK_EQ("1CBB369200", buffer);
698
699  AssignDecimalString(&bignum, "1234");
700  bignum.MultiplyByPowerOfTen(9);
701  CHECK(bignum.ToHexString(buffer, kBufferSize));
702  CHECK_EQ("11F5021B400", buffer);
703
704  AssignDecimalString(&bignum, "1234");
705  bignum.MultiplyByPowerOfTen(10);
706  CHECK(bignum.ToHexString(buffer, kBufferSize));
707  CHECK_EQ("B3921510800", buffer);
708
709  AssignDecimalString(&bignum, "1234");
710  bignum.MultiplyByPowerOfTen(11);
711  CHECK(bignum.ToHexString(buffer, kBufferSize));
712  CHECK_EQ("703B4D2A5000", buffer);
713
714  AssignDecimalString(&bignum, "1234");
715  bignum.MultiplyByPowerOfTen(12);
716  CHECK(bignum.ToHexString(buffer, kBufferSize));
717  CHECK_EQ("4625103A72000", buffer);
718
719  AssignDecimalString(&bignum, "1234");
720  bignum.MultiplyByPowerOfTen(13);
721  CHECK(bignum.ToHexString(buffer, kBufferSize));
722  CHECK_EQ("2BD72A24874000", buffer);
723
724  AssignDecimalString(&bignum, "1234");
725  bignum.MultiplyByPowerOfTen(14);
726  CHECK(bignum.ToHexString(buffer, kBufferSize));
727  CHECK_EQ("1B667A56D488000", buffer);
728
729  AssignDecimalString(&bignum, "1234");
730  bignum.MultiplyByPowerOfTen(15);
731  CHECK(bignum.ToHexString(buffer, kBufferSize));
732  CHECK_EQ("11200C7644D50000", buffer);
733
734  AssignDecimalString(&bignum, "1234");
735  bignum.MultiplyByPowerOfTen(16);
736  CHECK(bignum.ToHexString(buffer, kBufferSize));
737  CHECK_EQ("AB407C9EB0520000", buffer);
738
739  AssignDecimalString(&bignum, "1234");
740  bignum.MultiplyByPowerOfTen(17);
741  CHECK(bignum.ToHexString(buffer, kBufferSize));
742  CHECK_EQ("6B084DE32E3340000", buffer);
743
744  AssignDecimalString(&bignum, "1234");
745  bignum.MultiplyByPowerOfTen(18);
746  CHECK(bignum.ToHexString(buffer, kBufferSize));
747  CHECK_EQ("42E530ADFCE0080000", buffer);
748
749  AssignDecimalString(&bignum, "1234");
750  bignum.MultiplyByPowerOfTen(19);
751  CHECK(bignum.ToHexString(buffer, kBufferSize));
752  CHECK_EQ("29CF3E6CBE0C0500000", buffer);
753
754  AssignDecimalString(&bignum, "1234");
755  bignum.MultiplyByPowerOfTen(20);
756  CHECK(bignum.ToHexString(buffer, kBufferSize));
757  CHECK_EQ("1A218703F6C783200000", buffer);
758
759  AssignDecimalString(&bignum, "1234");
760  bignum.MultiplyByPowerOfTen(21);
761  CHECK(bignum.ToHexString(buffer, kBufferSize));
762  CHECK_EQ("1054F4627A3CB1F400000", buffer);
763
764  AssignDecimalString(&bignum, "1234");
765  bignum.MultiplyByPowerOfTen(22);
766  CHECK(bignum.ToHexString(buffer, kBufferSize));
767  CHECK_EQ("A3518BD8C65EF38800000", buffer);
768
769  AssignDecimalString(&bignum, "1234");
770  bignum.MultiplyByPowerOfTen(23);
771  CHECK(bignum.ToHexString(buffer, kBufferSize));
772  CHECK_EQ("6612F7677BFB5835000000", buffer);
773
774  AssignDecimalString(&bignum, "1234");
775  bignum.MultiplyByPowerOfTen(24);
776  CHECK(bignum.ToHexString(buffer, kBufferSize));
777  CHECK_EQ("3FCBDAA0AD7D17212000000", buffer);
778
779  AssignDecimalString(&bignum, "1234");
780  bignum.MultiplyByPowerOfTen(25);
781  CHECK(bignum.ToHexString(buffer, kBufferSize));
782  CHECK_EQ("27DF68A46C6E2E74B4000000", buffer);
783
784  AssignDecimalString(&bignum, "1234");
785  bignum.MultiplyByPowerOfTen(26);
786  CHECK(bignum.ToHexString(buffer, kBufferSize));
787  CHECK_EQ("18EBA166C3C4DD08F08000000", buffer);
788
789  AssignDecimalString(&bignum, "1234");
790  bignum.MultiplyByPowerOfTen(27);
791  CHECK(bignum.ToHexString(buffer, kBufferSize));
792  CHECK_EQ("F9344E03A5B0A259650000000", buffer);
793
794  AssignDecimalString(&bignum, "1234");
795  bignum.MultiplyByPowerOfTen(28);
796  CHECK(bignum.ToHexString(buffer, kBufferSize));
797  CHECK_EQ("9BC0B0C2478E6577DF20000000", buffer);
798
799  AssignDecimalString(&bignum, "1234");
800  bignum.MultiplyByPowerOfTen(29);
801  CHECK(bignum.ToHexString(buffer, kBufferSize));
802  CHECK_EQ("61586E796CB8FF6AEB740000000", buffer);
803
804  AssignDecimalString(&bignum, "1234");
805  bignum.MultiplyByPowerOfTen(30);
806  CHECK(bignum.ToHexString(buffer, kBufferSize));
807  CHECK_EQ("3CD7450BE3F39FA2D32880000000", buffer);
808
809  AssignDecimalString(&bignum, "1234");
810  bignum.MultiplyByPowerOfTen(31);
811  CHECK(bignum.ToHexString(buffer, kBufferSize));
812  CHECK_EQ("26068B276E7843C5C3F9500000000", buffer);
813
814  AssignDecimalString(&bignum, "1234");
815  bignum.MultiplyByPowerOfTen(50);
816  CHECK(bignum.ToHexString(buffer, kBufferSize));
817  CHECK_EQ("149D1B4CFED03B23AB5F4E1196EF45C08000000000000", buffer);
818
819  AssignDecimalString(&bignum, "1234");
820  bignum.MultiplyByPowerOfTen(100);
821  CHECK(bignum.ToHexString(buffer, kBufferSize));
822  CHECK_EQ("5827249F27165024FBC47DFCA9359BF316332D1B91ACEECF471FBAB06D9B2"
823           "0000000000000000000000000", buffer);
824
825  AssignDecimalString(&bignum, "1234");
826  bignum.MultiplyByPowerOfTen(200);
827  CHECK(bignum.ToHexString(buffer, kBufferSize));
828  CHECK_EQ("64C1F5C06C3816AFBF8DAFD5A3D756365BB0FD020E6F084E759C1F7C99E4F"
829           "55B9ACC667CEC477EB958C2AEEB3C6C19BA35A1AD30B35C51EB72040920000"
830           "0000000000000000000000000000000000000000000000", buffer);
831
832  AssignDecimalString(&bignum, "1234");
833  bignum.MultiplyByPowerOfTen(500);
834  CHECK(bignum.ToHexString(buffer, kBufferSize));
835  CHECK_EQ("96741A625EB5D7C91039FEB5C5ACD6D9831EDA5B083D800E6019442C8C8223"
836           "3EAFB3501FE2058062221E15121334928880827DEE1EC337A8B26489F3A40A"
837           "CB440A2423734472D10BFCE886F41B3AF9F9503013D86D088929CA86EEB4D8"
838           "B9C831D0BD53327B994A0326227CFD0ECBF2EB48B02387AAE2D4CCCDF1F1A1"
839           "B8CC4F1FA2C56AD40D0E4DAA9C28CDBF0A549098EA13200000000000000000"
840           "00000000000000000000000000000000000000000000000000000000000000"
841           "0000000000000000000000000000000000000000000000", buffer);
842
843  AssignDecimalString(&bignum, "1234");
844  bignum.MultiplyByPowerOfTen(1000);
845  CHECK(bignum.ToHexString(buffer, kBufferSize));
846  CHECK_EQ("1258040F99B1CD1CC9819C676D413EA50E4A6A8F114BB0C65418C62D399B81"
847           "6361466CA8E095193E1EE97173553597C96673AF67FAFE27A66E7EF2E5EF2E"
848           "E3F5F5070CC17FE83BA53D40A66A666A02F9E00B0E11328D2224B8694C7372"
849           "F3D536A0AD1985911BD361496F268E8B23112500EAF9B88A9BC67B2AB04D38"
850           "7FEFACD00F5AF4F764F9ABC3ABCDE54612DE38CD90CB6647CA389EA0E86B16"
851           "BF7A1F34086E05ADBE00BD1673BE00FAC4B34AF1091E8AD50BA675E0381440"
852           "EA8E9D93E75D816BAB37C9844B1441C38FC65CF30ABB71B36433AF26DD97BD"
853           "ABBA96C03B4919B8F3515B92826B85462833380DC193D79F69D20DD6038C99"
854           "6114EF6C446F0BA28CC772ACBA58B81C04F8FFDE7B18C4E5A3ABC51E637FDF"
855           "6E37FDFF04C940919390F4FF92000000000000000000000000000000000000"
856           "00000000000000000000000000000000000000000000000000000000000000"
857           "00000000000000000000000000000000000000000000000000000000000000"
858           "00000000000000000000000000000000000000000000000000000000000000"
859           "0000000000000000000000000000", buffer);
860
861  Bignum bignum2;
862  AssignHexString(&bignum2, "3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
863                            "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
864                            "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
865                            "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
866                            "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
867                            "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
868                            "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
869                            "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
870                            "C667A10958EA6D2");
871  CHECK(bignum2.ToHexString(buffer, kBufferSize));
872  CHECK_EQ("3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
873           "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
874           "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
875           "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
876           "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
877           "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
878           "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
879           "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
880           "C667A10958EA6D2", buffer);
881
882  bignum.AssignBignum(bignum2);
883  bignum.MultiplyByPowerOfTen(1);
884  CHECK(bignum.ToHexString(buffer, kBufferSize));
885  CHECK_EQ("2688A8F84FD1AB949930261C0986DB4DF931E85A8AD2FA8921284EE1C2BC51"
886           "E55915823BBA5789E7EC99E326EEE69F543ECE890929DED9AC79489884BE57"
887           "630AD569E121BB76ED8DAC8FB545A8AFDADF1F8860599AFC47A93B6346C191"
888           "7237F5BD36B73EB29371F4A4EE7A116CB5E8E5808D1BEA4D7F7E3716090C13"
889           "F29E5DDA53F0FD513362A2D20F6505314B9419DB967F8A8A89589FC43917C3"
890           "BB892062B17CBE421DB0D47E34ACCCE060D422CFF60DCBD0277EE038BD509C"
891           "7BC494D8D854F5B76696F927EA99BC00C4A5D7928434", buffer);
892
893  bignum.AssignBignum(bignum2);
894  bignum.MultiplyByPowerOfTen(2);
895  CHECK(bignum.ToHexString(buffer, kBufferSize));
896  CHECK_EQ("1815699B31E30B3CDFBE17D185F44910BBBF313896C3DC95B4B9314D19B5B32"
897           "F57AD71655476B630F3E02DF855502394A74115A5BA2B480BCBCD5F52F6F69D"
898           "E6C5622CB5152A54788BD9D14B896DE8CB73B53C3800DDACC9C51E0C38FAE76"
899           "2F9964232872F9C2738E7150C4AE3F1B18F70583172706FAEE26DC5A78C77A2"
900           "FAA874769E52C01DA5C3499F233ECF3C90293E0FB69695D763DAA3AEDA5535B"
901           "43DAEEDF6E9528E84CEE0EC000C3C8495C1F9C89F6218AF4C23765261CD5ADD"
902           "0787351992A01E5BB8F2A015807AE7A6BB92A08", buffer);
903
904  bignum.AssignBignum(bignum2);
905  bignum.MultiplyByPowerOfTen(5);
906  CHECK(bignum.ToHexString(buffer, kBufferSize));
907  CHECK_EQ("5E13A4863ADEE3E5C9FE8D0A73423D695D62D8450CED15A8C9F368952C6DC3"
908           "F0EE7D82F3D1EFB7AF38A3B3920D410AFCAD563C8F5F39116E141A3C5C14B3"
909           "58CD73077EA35AAD59F6E24AD98F10D5555ABBFBF33AC361EAF429FD5FBE94"
910           "17DA9EF2F2956011F9F93646AA38048A681D984ED88127073443247CCC167C"
911           "B354A32206EF5A733E73CF82D795A1AD598493211A6D613C39515E0E0F6304"
912           "DCD9C810F3518C7F6A7CB6C81E99E02FCC65E8FDB7B7AE97306CC16A8631CE"
913           "0A2AEF6568276BE4C176964A73C153FDE018E34CB4C2F40", buffer);
914
915  bignum.AssignBignum(bignum2);
916  bignum.MultiplyByPowerOfTen(10);
917  CHECK(bignum.ToHexString(buffer, kBufferSize));
918  CHECK_EQ("8F8CB8EB51945A7E815809F6121EF2F4E61EF3405CD9432CAD2709749EEAFD"
919           "1B81E843F14A3667A7BDCCC9E0BB795F63CDFDB62844AC7438976C885A0116"
920           "29607DA54F9C023CC366570B7637ED0F855D931752038A614922D0923E382C"
921           "B8E5F6C975672DB76E0DE471937BB9EDB11E28874F1C122D5E1EF38CECE9D0"
922           "0723056BCBD4F964192B76830634B1D322B7EB0062F3267E84F5C824343A77"
923           "4B7DCEE6DD464F01EBDC8C671BB18BB4EF4300A42474A6C77243F2A12B03BF"
924           "0443C38A1C0D2701EDB393135AE0DEC94211F9D4EB51F990800", buffer);
925
926  bignum.AssignBignum(bignum2);
927  bignum.MultiplyByPowerOfTen(50);
928  CHECK(bignum.ToHexString(buffer, kBufferSize));
929  CHECK_EQ("107A8BE345E24407372FC1DE442CBA696BC23C4FFD5B4BDFD9E5C39559815"
930           "86628CF8472D2D589F2FC2BAD6E0816EC72CBF85CCA663D8A1EC6C51076D8"
931           "2D247E6C26811B7EC4D4300FB1F91028DCB7B2C4E7A60C151161AA7E65E79"
932           "B40917B12B2B5FBE7745984D4E8EFA31F9AE6062427B068B144A9CB155873"
933           "E7C0C9F0115E5AC72DC5A73C4796DB970BF9205AB8C77A6996EB1B417F9D1"
934           "6232431E6313C392203601B9C22CC10DDA88DCC6D282605F8DB67044F2DFD"
935           "3695E7BA63877AE16701536AE6567C794D0BFE338DFBB42D924CF964BD2C0"
936           "F586E03A2FCD35A408000000000000", buffer);
937
938  bignum.AssignBignum(bignum2);
939  bignum.MultiplyByPowerOfTen(100);
940  CHECK(bignum.ToHexString(buffer, kBufferSize));
941  CHECK_EQ("46784A90ACD0ED3E7759CC585FB32D36EB6034A6F78D92604E3BAA5ED3D8B"
942           "6E60E854439BE448897FB4B7EA5A3D873AA0FCB3CFFD80D0530880E45F511"
943           "722A50CE7E058B5A6F5464DB7500E34984EE3202A9441F44FA1554C0CEA96"
944           "B438A36F25E7C9D56D71AE2CD313EC37534DA299AC0854FC48591A7CF3171"
945           "31265AA4AE62DE32344CE7BEEEF894AE686A2DAAFE5D6D9A10971FFD9C064"
946           "5079B209E1048F58B5192D41D84336AC4C8C489EEF00939CFC9D55C122036"
947           "01B9C22CC10DDA88DCC6D282605F8DB67044F2DFD3695E7BA3F67B96D3A32"
948           "E11FB5561B68744C4035B0800DC166D49D98E3FD1D5BB2000000000000000"
949           "0000000000", buffer);
950
951  bignum.AssignBignum(bignum2);
952  bignum.MultiplyByPowerOfTen(200);
953  CHECK(bignum.ToHexString(buffer, kBufferSize));
954  CHECK_EQ("508BD351221DF139D72D88CDC0416845A53EE2D0E6B98352509A9AC312F8C"
955           "6CB1A144889416201E0B6CE66EA3EBE259B5FD79ECFC1FD77963CE516CC7E"
956           "2FE73D4B5B710C19F6BCB092C7A2FD76286543B8DBD2C596DFF2C896720BA"
957           "DFF7BC9C366ACEA3A880AEC287C5E6207DF2739B5326FC19D773BD830B109"
958           "ED36C7086544BF8FDB9D4B73719C2B5BC2F571A5937EC46876CD428281F6B"
959           "F287E1E07F25C1B1D46BC37324FF657A8B2E0071DB83B86123CA34004F406"
960           "001082D7945E90C6E8C9A9FEC2B44BE0DDA46E9F52B152E4D1336D2FCFBC9"
961           "96E30CA0082256737365158FE36482AA7EB9DAF2AB128F10E7551A3CD5BE6"
962           "0A922F3A7D5EED38B634A7EC95BCF7021BA6820A292000000000000000000"
963           "00000000000000000000000000000000", buffer);
964
965  bignum.AssignBignum(bignum2);
966  bignum.MultiplyByPowerOfTen(500);
967  CHECK(bignum.ToHexString(buffer, kBufferSize));
968  CHECK_EQ("7845F900E475B5086885BAAAE67C8E85185ACFE4633727F82A4B06B5582AC"
969           "BE933C53357DA0C98C20C5AC900C4D76A97247DF52B79F48F9E35840FB715"
970           "D392CE303E22622B0CF82D9471B398457DD3196F639CEE8BBD2C146873841"
971           "F0699E6C41F04FC7A54B48CEB995BEB6F50FE81DE9D87A8D7F849CC523553"
972           "7B7BBBC1C7CAAFF6E9650BE03B308C6D31012AEF9580F70D3EE2083ADE126"
973           "8940FA7D6308E239775DFD2F8C97FF7EBD525DAFA6512216F7047A62A93DC"
974           "38A0165BDC67E250DCC96A0181DE935A70B38704DC71819F02FC5261FF7E1"
975           "E5F11907678B0A3E519FF4C10A867B0C26CE02BE6960BA8621A87303C101C"
976           "3F88798BB9F7739655946F8B5744E6B1EAF10B0C5621330F0079209033C69"
977           "20DE2E2C8D324F0624463735D482BF291926C22A910F5B80FA25170B6B57D"
978           "8D5928C7BCA3FE87461275F69BD5A1B83181DAAF43E05FC3C72C4E93111B6"
979           "6205EBF49B28FEDFB7E7526CBDA658A332000000000000000000000000000"
980           "0000000000000000000000000000000000000000000000000000000000000"
981           "0000000000000000000000000000000000000", buffer);
982}
983
984
985TEST(DivideModuloIntBignum) {
986  char buffer[kBufferSize];
987  Bignum bignum;
988  Bignum other;
989  Bignum third;
990
991  bignum.AssignUInt16(10);
992  other.AssignUInt16(2);
993  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
994  CHECK(bignum.ToHexString(buffer, kBufferSize));
995  CHECK_EQ("0", buffer);
996
997  bignum.AssignUInt16(10);
998  bignum.ShiftLeft(500);
999  other.AssignUInt16(2);
1000  other.ShiftLeft(500);
1001  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1002  CHECK(bignum.ToHexString(buffer, kBufferSize));
1003  CHECK_EQ("0", buffer);
1004
1005  bignum.AssignUInt16(11);
1006  other.AssignUInt16(2);
1007  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1008  CHECK(bignum.ToHexString(buffer, kBufferSize));
1009  CHECK_EQ("1", buffer);
1010
1011  bignum.AssignUInt16(10);
1012  bignum.ShiftLeft(500);
1013  other.AssignUInt16(1);
1014  bignum.AddBignum(other);
1015  other.AssignUInt16(2);
1016  other.ShiftLeft(500);
1017  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1018  CHECK(bignum.ToHexString(buffer, kBufferSize));
1019  CHECK_EQ("1", buffer);
1020
1021  bignum.AssignUInt16(10);
1022  bignum.ShiftLeft(500);
1023  other.AssignBignum(bignum);
1024  bignum.MultiplyByUInt32(0x1234);
1025  third.AssignUInt16(0xFFF);
1026  bignum.AddBignum(third);
1027  CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
1028  CHECK(bignum.ToHexString(buffer, kBufferSize));
1029  CHECK_EQ("FFF", buffer);
1030
1031  bignum.AssignUInt16(10);
1032  AssignHexString(&other, "1234567890");
1033  CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
1034  CHECK(bignum.ToHexString(buffer, kBufferSize));
1035  CHECK_EQ("A", buffer);
1036
1037  AssignHexString(&bignum, "12345678");
1038  AssignHexString(&other, "3789012");
1039  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1040  CHECK(bignum.ToHexString(buffer, kBufferSize));
1041  CHECK_EQ("D9861E", buffer);
1042
1043  AssignHexString(&bignum, "70000001");
1044  AssignHexString(&other, "1FFFFFFF");
1045  CHECK_EQ(3, bignum.DivideModuloIntBignum(other));
1046  CHECK(bignum.ToHexString(buffer, kBufferSize));
1047  CHECK_EQ("10000004", buffer);
1048
1049  AssignHexString(&bignum, "28000000");
1050  AssignHexString(&other, "12A05F20");
1051  CHECK_EQ(2, bignum.DivideModuloIntBignum(other));
1052  CHECK(bignum.ToHexString(buffer, kBufferSize));
1053  CHECK_EQ("2BF41C0", buffer);
1054
1055  bignum.AssignUInt16(10);
1056  bignum.ShiftLeft(500);
1057  other.AssignBignum(bignum);
1058  bignum.MultiplyByUInt32(0x1234);
1059  third.AssignUInt16(0xFFF);
1060  other.SubtractBignum(third);
1061  CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
1062  CHECK(bignum.ToHexString(buffer, kBufferSize));
1063  CHECK_EQ("1232DCC", buffer);
1064  CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
1065  CHECK(bignum.ToHexString(buffer, kBufferSize));
1066  CHECK_EQ("1232DCC", buffer);
1067}
1068
1069
1070TEST(Compare) {
1071  Bignum bignum1;
1072  Bignum bignum2;
1073  bignum1.AssignUInt16(1);
1074  bignum2.AssignUInt16(1);
1075  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1076  CHECK(Bignum::Equal(bignum1, bignum2));
1077  CHECK(Bignum::LessEqual(bignum1, bignum2));
1078  CHECK(!Bignum::Less(bignum1, bignum2));
1079
1080  bignum1.AssignUInt16(0);
1081  bignum2.AssignUInt16(1);
1082  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1083  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1084  CHECK(!Bignum::Equal(bignum1, bignum2));
1085  CHECK(!Bignum::Equal(bignum2, bignum1));
1086  CHECK(Bignum::LessEqual(bignum1, bignum2));
1087  CHECK(!Bignum::LessEqual(bignum2, bignum1));
1088  CHECK(Bignum::Less(bignum1, bignum2));
1089  CHECK(!Bignum::Less(bignum2, bignum1));
1090
1091  AssignHexString(&bignum1, "1234567890ABCDEF12345");
1092  AssignHexString(&bignum2, "1234567890ABCDEF12345");
1093  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1094
1095  AssignHexString(&bignum1, "1234567890ABCDEF12345");
1096  AssignHexString(&bignum2, "1234567890ABCDEF12346");
1097  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1098  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1099
1100  AssignHexString(&bignum1, "1234567890ABCDEF12345");
1101  bignum1.ShiftLeft(500);
1102  AssignHexString(&bignum2, "1234567890ABCDEF12345");
1103  bignum2.ShiftLeft(500);
1104  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1105
1106  AssignHexString(&bignum1, "1234567890ABCDEF12345");
1107  bignum1.ShiftLeft(500);
1108  AssignHexString(&bignum2, "1234567890ABCDEF12346");
1109  bignum2.ShiftLeft(500);
1110  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1111  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1112
1113  bignum1.AssignUInt16(1);
1114  bignum1.ShiftLeft(64);
1115  AssignHexString(&bignum2, "10000000000000000");
1116  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1117  CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));
1118
1119  bignum1.AssignUInt16(1);
1120  bignum1.ShiftLeft(64);
1121  AssignHexString(&bignum2, "10000000000000001");
1122  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1123  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1124
1125  bignum1.AssignUInt16(1);
1126  bignum1.ShiftLeft(96);
1127  AssignHexString(&bignum2, "10000000000000001");
1128  bignum2.ShiftLeft(32);
1129  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1130  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1131
1132  AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1133  bignum2.AssignUInt16(1);
1134  bignum2.ShiftLeft(64);
1135  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1136  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1137
1138  AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1139  bignum1.ShiftLeft(32);
1140  bignum2.AssignUInt16(1);
1141  bignum2.ShiftLeft(96);
1142  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1143  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1144
1145  AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1146  bignum1.ShiftLeft(32);
1147  bignum2.AssignUInt16(1);
1148  bignum2.ShiftLeft(95);
1149  CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2));
1150  CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1));
1151
1152  AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1153  bignum1.ShiftLeft(32);
1154  bignum2.AssignUInt16(1);
1155  bignum2.ShiftLeft(100);
1156  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1157  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1158
1159  AssignHexString(&bignum1, "100000000000000");
1160  bignum2.AssignUInt16(1);
1161  bignum2.ShiftLeft(14*4);
1162  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1163  CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));
1164
1165  AssignHexString(&bignum1, "100000000000001");
1166  bignum2.AssignUInt16(1);
1167  bignum2.ShiftLeft(14*4);
1168  CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2));
1169  CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1));
1170
1171  AssignHexString(&bignum1, "200000000000000");
1172  bignum2.AssignUInt16(3);
1173  bignum2.ShiftLeft(14*4);
1174  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1175  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1176}
1177
1178
1179TEST(PlusCompare) {
1180  Bignum a;
1181  Bignum b;
1182  Bignum c;
1183  a.AssignUInt16(1);
1184  b.AssignUInt16(0);
1185  c.AssignUInt16(1);
1186  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1187  CHECK(Bignum::PlusEqual(a, b, c));
1188  CHECK(Bignum::PlusLessEqual(a, b, c));
1189  CHECK(!Bignum::PlusLess(a, b, c));
1190
1191  a.AssignUInt16(0);
1192  b.AssignUInt16(0);
1193  c.AssignUInt16(1);
1194  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1195  CHECK_EQ(+1, Bignum::PlusCompare(c, b, a));
1196  CHECK(!Bignum::PlusEqual(a, b, c));
1197  CHECK(!Bignum::PlusEqual(c, b, a));
1198  CHECK(Bignum::PlusLessEqual(a, b, c));
1199  CHECK(!Bignum::PlusLessEqual(c, b, a));
1200  CHECK(Bignum::PlusLess(a, b, c));
1201  CHECK(!Bignum::PlusLess(c, b, a));
1202
1203  AssignHexString(&a, "1234567890ABCDEF12345");
1204  b.AssignUInt16(1);
1205  AssignHexString(&c, "1234567890ABCDEF12345");
1206  CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));
1207
1208  AssignHexString(&a, "1234567890ABCDEF12344");
1209  b.AssignUInt16(1);
1210  AssignHexString(&c, "1234567890ABCDEF12345");
1211  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1212
1213  AssignHexString(&a, "1234567890");
1214  a.ShiftLeft(11*4);
1215  AssignHexString(&b, "ABCDEF12345");
1216  AssignHexString(&c, "1234567890ABCDEF12345");
1217  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1218
1219  AssignHexString(&a, "1234567890");
1220  a.ShiftLeft(11*4);
1221  AssignHexString(&b, "ABCDEF12344");
1222  AssignHexString(&c, "1234567890ABCDEF12345");
1223  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1224
1225  AssignHexString(&a, "1234567890");
1226  a.ShiftLeft(11*4);
1227  AssignHexString(&b, "ABCDEF12346");
1228  AssignHexString(&c, "1234567890ABCDEF12345");
1229  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1230
1231  AssignHexString(&a, "1234567891");
1232  a.ShiftLeft(11*4);
1233  AssignHexString(&b, "ABCDEF12345");
1234  AssignHexString(&c, "1234567890ABCDEF12345");
1235  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1236
1237  AssignHexString(&a, "1234567889");
1238  a.ShiftLeft(11*4);
1239  AssignHexString(&b, "ABCDEF12345");
1240  AssignHexString(&c, "1234567890ABCDEF12345");
1241  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1242
1243  AssignHexString(&a, "1234567890");
1244  a.ShiftLeft(11*4 + 32);
1245  AssignHexString(&b, "ABCDEF12345");
1246  b.ShiftLeft(32);
1247  AssignHexString(&c, "1234567890ABCDEF12345");
1248  c.ShiftLeft(32);
1249  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1250
1251  AssignHexString(&a, "1234567890");
1252  a.ShiftLeft(11*4 + 32);
1253  AssignHexString(&b, "ABCDEF12344");
1254  b.ShiftLeft(32);
1255  AssignHexString(&c, "1234567890ABCDEF12345");
1256  c.ShiftLeft(32);
1257  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1258
1259  AssignHexString(&a, "1234567890");
1260  a.ShiftLeft(11*4 + 32);
1261  AssignHexString(&b, "ABCDEF12346");
1262  b.ShiftLeft(32);
1263  AssignHexString(&c, "1234567890ABCDEF12345");
1264  c.ShiftLeft(32);
1265  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1266
1267  AssignHexString(&a, "1234567891");
1268  a.ShiftLeft(11*4 + 32);
1269  AssignHexString(&b, "ABCDEF12345");
1270  b.ShiftLeft(32);
1271  AssignHexString(&c, "1234567890ABCDEF12345");
1272  c.ShiftLeft(32);
1273  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1274
1275  AssignHexString(&a, "1234567889");
1276  a.ShiftLeft(11*4 + 32);
1277  AssignHexString(&b, "ABCDEF12345");
1278  b.ShiftLeft(32);
1279  AssignHexString(&c, "1234567890ABCDEF12345");
1280  c.ShiftLeft(32);
1281  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1282
1283  AssignHexString(&a, "1234567890");
1284  a.ShiftLeft(11*4 + 32);
1285  AssignHexString(&b, "ABCDEF12345");
1286  b.ShiftLeft(32);
1287  AssignHexString(&c, "1234567890ABCDEF1234500000000");
1288  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1289
1290  AssignHexString(&a, "1234567890");
1291  a.ShiftLeft(11*4 + 32);
1292  AssignHexString(&b, "ABCDEF12344");
1293  b.ShiftLeft(32);
1294  AssignHexString(&c, "1234567890ABCDEF1234500000000");
1295  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1296
1297  AssignHexString(&a, "1234567890");
1298  a.ShiftLeft(11*4 + 32);
1299  AssignHexString(&b, "ABCDEF12346");
1300  b.ShiftLeft(32);
1301  AssignHexString(&c, "1234567890ABCDEF1234500000000");
1302  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1303
1304  AssignHexString(&a, "1234567891");
1305  a.ShiftLeft(11*4 + 32);
1306  AssignHexString(&b, "ABCDEF12345");
1307  b.ShiftLeft(32);
1308  AssignHexString(&c, "1234567890ABCDEF1234500000000");
1309  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1310
1311  AssignHexString(&a, "1234567889");
1312  a.ShiftLeft(11*4 + 32);
1313  AssignHexString(&b, "ABCDEF12345");
1314  b.ShiftLeft(32);
1315  AssignHexString(&c, "1234567890ABCDEF1234500000000");
1316  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1317
1318  AssignHexString(&a, "1234567890");
1319  a.ShiftLeft(11*4 + 32);
1320  AssignHexString(&b, "ABCDEF12345");
1321  AssignHexString(&c, "123456789000000000ABCDEF12345");
1322  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1323
1324  AssignHexString(&a, "1234567890");
1325  a.ShiftLeft(11*4 + 32);
1326  AssignHexString(&b, "ABCDEF12346");
1327  AssignHexString(&c, "123456789000000000ABCDEF12345");
1328  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1329
1330  AssignHexString(&a, "1234567890");
1331  a.ShiftLeft(11*4 + 32);
1332  AssignHexString(&b, "ABCDEF12344");
1333  AssignHexString(&c, "123456789000000000ABCDEF12345");
1334  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1335
1336  AssignHexString(&a, "1234567890");
1337  a.ShiftLeft(11*4 + 32);
1338  AssignHexString(&b, "ABCDEF12345");
1339  b.ShiftLeft(16);
1340  AssignHexString(&c, "12345678900000ABCDEF123450000");
1341  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1342
1343  AssignHexString(&a, "1234567890");
1344  a.ShiftLeft(11*4 + 32);
1345  AssignHexString(&b, "ABCDEF12344");
1346  b.ShiftLeft(16);
1347  AssignHexString(&c, "12345678900000ABCDEF123450000");
1348  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1349
1350  AssignHexString(&a, "1234567890");
1351  a.ShiftLeft(11*4 + 32);
1352  AssignHexString(&b, "ABCDEF12345");
1353  b.ShiftLeft(16);
1354  AssignHexString(&c, "12345678900000ABCDEF123450001");
1355  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1356
1357  AssignHexString(&a, "1234567890");
1358  a.ShiftLeft(11*4 + 32);
1359  AssignHexString(&b, "ABCDEF12346");
1360  b.ShiftLeft(16);
1361  AssignHexString(&c, "12345678900000ABCDEF123450000");
1362  CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));
1363}
1364
1365
1366TEST(Square) {
1367  Bignum bignum;
1368  char buffer[kBufferSize];
1369
1370  bignum.AssignUInt16(1);
1371  bignum.Square();
1372  CHECK(bignum.ToHexString(buffer, kBufferSize));
1373  CHECK_EQ("1", buffer);
1374
1375  bignum.AssignUInt16(2);
1376  bignum.Square();
1377  CHECK(bignum.ToHexString(buffer, kBufferSize));
1378  CHECK_EQ("4", buffer);
1379
1380  bignum.AssignUInt16(10);
1381  bignum.Square();
1382  CHECK(bignum.ToHexString(buffer, kBufferSize));
1383  CHECK_EQ("64", buffer);
1384
1385  AssignHexString(&bignum, "FFFFFFF");
1386  bignum.Square();
1387  CHECK(bignum.ToHexString(buffer, kBufferSize));
1388  CHECK_EQ("FFFFFFE0000001", buffer);
1389
1390  AssignHexString(&bignum, "FFFFFFFFFFFFFF");
1391  bignum.Square();
1392  CHECK(bignum.ToHexString(buffer, kBufferSize));
1393  CHECK_EQ("FFFFFFFFFFFFFE00000000000001", buffer);
1394}
1395
1396
1397TEST(AssignPowerUInt16) {
1398  Bignum bignum;
1399  char buffer[kBufferSize];
1400
1401  bignum.AssignPowerUInt16(1, 0);
1402  CHECK(bignum.ToHexString(buffer, kBufferSize));
1403  CHECK_EQ("1", buffer);
1404
1405  bignum.AssignPowerUInt16(1, 1);
1406  CHECK(bignum.ToHexString(buffer, kBufferSize));
1407  CHECK_EQ("1", buffer);
1408
1409  bignum.AssignPowerUInt16(1, 2);
1410  CHECK(bignum.ToHexString(buffer, kBufferSize));
1411  CHECK_EQ("1", buffer);
1412
1413  bignum.AssignPowerUInt16(2, 0);
1414  CHECK(bignum.ToHexString(buffer, kBufferSize));
1415  CHECK_EQ("1", buffer);
1416
1417  bignum.AssignPowerUInt16(2, 1);
1418  CHECK(bignum.ToHexString(buffer, kBufferSize));
1419  CHECK_EQ("2", buffer);
1420
1421  bignum.AssignPowerUInt16(2, 2);
1422  CHECK(bignum.ToHexString(buffer, kBufferSize));
1423  CHECK_EQ("4", buffer);
1424
1425  bignum.AssignPowerUInt16(16, 1);
1426  CHECK(bignum.ToHexString(buffer, kBufferSize));
1427  CHECK_EQ("10", buffer);
1428
1429  bignum.AssignPowerUInt16(16, 2);
1430  CHECK(bignum.ToHexString(buffer, kBufferSize));
1431  CHECK_EQ("100", buffer);
1432
1433  bignum.AssignPowerUInt16(16, 5);
1434  CHECK(bignum.ToHexString(buffer, kBufferSize));
1435  CHECK_EQ("100000", buffer);
1436
1437  bignum.AssignPowerUInt16(16, 8);
1438  CHECK(bignum.ToHexString(buffer, kBufferSize));
1439  CHECK_EQ("100000000", buffer);
1440
1441  bignum.AssignPowerUInt16(16, 16);
1442  CHECK(bignum.ToHexString(buffer, kBufferSize));
1443  CHECK_EQ("10000000000000000", buffer);
1444
1445  bignum.AssignPowerUInt16(16, 30);
1446  CHECK(bignum.ToHexString(buffer, kBufferSize));
1447  CHECK_EQ("1000000000000000000000000000000", buffer);
1448
1449  bignum.AssignPowerUInt16(10, 0);
1450  CHECK(bignum.ToHexString(buffer, kBufferSize));
1451  CHECK_EQ("1", buffer);
1452
1453  bignum.AssignPowerUInt16(10, 1);
1454  CHECK(bignum.ToHexString(buffer, kBufferSize));
1455  CHECK_EQ("A", buffer);
1456
1457  bignum.AssignPowerUInt16(10, 2);
1458  CHECK(bignum.ToHexString(buffer, kBufferSize));
1459  CHECK_EQ("64", buffer);
1460
1461  bignum.AssignPowerUInt16(10, 5);
1462  CHECK(bignum.ToHexString(buffer, kBufferSize));
1463  CHECK_EQ("186A0", buffer);
1464
1465  bignum.AssignPowerUInt16(10, 8);
1466  CHECK(bignum.ToHexString(buffer, kBufferSize));
1467  CHECK_EQ("5F5E100", buffer);
1468
1469  bignum.AssignPowerUInt16(10, 16);
1470  CHECK(bignum.ToHexString(buffer, kBufferSize));
1471  CHECK_EQ("2386F26FC10000", buffer);
1472
1473  bignum.AssignPowerUInt16(10, 30);
1474  CHECK(bignum.ToHexString(buffer, kBufferSize));
1475  CHECK_EQ("C9F2C9CD04674EDEA40000000", buffer);
1476
1477  bignum.AssignPowerUInt16(10, 31);
1478  CHECK(bignum.ToHexString(buffer, kBufferSize));
1479  CHECK_EQ("7E37BE2022C0914B2680000000", buffer);
1480
1481  bignum.AssignPowerUInt16(2, 0);
1482  CHECK(bignum.ToHexString(buffer, kBufferSize));
1483  CHECK_EQ("1", buffer);
1484
1485  bignum.AssignPowerUInt16(2, 100);
1486  CHECK(bignum.ToHexString(buffer, kBufferSize));
1487  CHECK_EQ("10000000000000000000000000", buffer);
1488
1489  bignum.AssignPowerUInt16(17, 0);
1490  CHECK(bignum.ToHexString(buffer, kBufferSize));
1491  CHECK_EQ("1", buffer);
1492
1493  bignum.AssignPowerUInt16(17, 99);
1494  CHECK(bignum.ToHexString(buffer, kBufferSize));
1495  CHECK_EQ("1942BB9853FAD924A3D4DD92B89B940E0207BEF05DB9C26BC1B757"
1496           "80BE0C5A2C2990E02A681224F34ED68558CE4C6E33760931",
1497           buffer);
1498
1499  bignum.AssignPowerUInt16(0xFFFF, 99);
1500  CHECK(bignum.ToHexString(buffer, kBufferSize));
1501  CHECK_EQ("FF9D12F09B886C54E77E7439C7D2DED2D34F669654C0C2B6B8C288250"
1502           "5A2211D0E3DC9A61831349EAE674B11D56E3049D7BD79DAAD6C9FA2BA"
1503           "528E3A794299F2EE9146A324DAFE3E88967A0358233B543E233E575B9"
1504           "DD4E3AA7942146426C328FF55BFD5C45E0901B1629260AF9AE2F310C5"
1505           "50959FAF305C30116D537D80CF6EBDBC15C5694062AF1AC3D956D0A41"
1506           "B7E1B79FF11E21D83387A1CE1F5882B31E4B5D8DE415BDBE6854466DF"
1507           "343362267A7E8833119D31D02E18DB5B0E8F6A64B0ED0D0062FFFF",
1508           buffer);
1509}
1510