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27 
28 #include <stdlib.h>
29 
30 #include "src/v8.h"
31 
32 #include "src/base/platform/platform.h"
33 #include "src/bignum.h"
34 #include "test/cctest/cctest.h"
35 
36 using namespace v8::internal;
37 
38 
39 static const int kBufferSize = 1024;
40 
AssignHexString(Bignum * bignum,const char * str)41 static void AssignHexString(Bignum* bignum, const char* str) {
42   bignum->AssignHexString(Vector<const char>(str, StrLength(str)));
43 }
44 
45 
AssignDecimalString(Bignum * bignum,const char * str)46 static void AssignDecimalString(Bignum* bignum, const char* str) {
47   bignum->AssignDecimalString(Vector<const char>(str, StrLength(str)));
48 }
49 
50 
TEST(Assign)51 TEST(Assign) {
52   char buffer[kBufferSize];
53   Bignum bignum;
54   Bignum bignum2;
55   bignum.AssignUInt16(0);
56   CHECK(bignum.ToHexString(buffer, kBufferSize));
57   CHECK_EQ("0", buffer);
58   bignum.AssignUInt16(0xA);
59   CHECK(bignum.ToHexString(buffer, kBufferSize));
60   CHECK_EQ("A", buffer);
61   bignum.AssignUInt16(0x20);
62   CHECK(bignum.ToHexString(buffer, kBufferSize));
63   CHECK_EQ("20", buffer);
64 
65 
66   bignum.AssignUInt64(0);
67   CHECK(bignum.ToHexString(buffer, kBufferSize));
68   CHECK_EQ("0", buffer);
69   bignum.AssignUInt64(0xA);
70   CHECK(bignum.ToHexString(buffer, kBufferSize));
71   CHECK_EQ("A", buffer);
72   bignum.AssignUInt64(0x20);
73   CHECK(bignum.ToHexString(buffer, kBufferSize));
74   CHECK_EQ("20", buffer);
75   bignum.AssignUInt64(0x100);
76   CHECK(bignum.ToHexString(buffer, kBufferSize));
77   CHECK_EQ("100", buffer);
78 
79   // The first real test, since this will not fit into one bigit.
80   bignum.AssignUInt64(0x12345678);
81   CHECK(bignum.ToHexString(buffer, kBufferSize));
82   CHECK_EQ("12345678", buffer);
83 
84   uint64_t big = V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF);
85   bignum.AssignUInt64(big);
86   CHECK(bignum.ToHexString(buffer, kBufferSize));
87   CHECK_EQ("FFFFFFFFFFFFFFFF", buffer);
88 
89   big = V8_2PART_UINT64_C(0x12345678, 9ABCDEF0);
90   bignum.AssignUInt64(big);
91   CHECK(bignum.ToHexString(buffer, kBufferSize));
92   CHECK_EQ("123456789ABCDEF0", buffer);
93 
94   bignum2.AssignBignum(bignum);
95   CHECK(bignum2.ToHexString(buffer, kBufferSize));
96   CHECK_EQ("123456789ABCDEF0", buffer);
97 
98   AssignDecimalString(&bignum, "0");
99   CHECK(bignum.ToHexString(buffer, kBufferSize));
100   CHECK_EQ("0", buffer);
101 
102   AssignDecimalString(&bignum, "1");
103   CHECK(bignum.ToHexString(buffer, kBufferSize));
104   CHECK_EQ("1", buffer);
105 
106   AssignDecimalString(&bignum, "1234567890");
107   CHECK(bignum.ToHexString(buffer, kBufferSize));
108   CHECK_EQ("499602D2", buffer);
109 
110   AssignHexString(&bignum, "0");
111   CHECK(bignum.ToHexString(buffer, kBufferSize));
112   CHECK_EQ("0", buffer);
113 
114   AssignHexString(&bignum, "123456789ABCDEF0");
115   CHECK(bignum.ToHexString(buffer, kBufferSize));
116   CHECK_EQ("123456789ABCDEF0", buffer);
117 }
118 
119 
TEST(ShiftLeft)120 TEST(ShiftLeft) {
121   char buffer[kBufferSize];
122   Bignum bignum;
123   AssignHexString(&bignum, "0");
124   bignum.ShiftLeft(100);
125   CHECK(bignum.ToHexString(buffer, kBufferSize));
126   CHECK_EQ("0", buffer);
127 
128   AssignHexString(&bignum, "1");
129   bignum.ShiftLeft(1);
130   CHECK(bignum.ToHexString(buffer, kBufferSize));
131   CHECK_EQ("2", buffer);
132 
133   AssignHexString(&bignum, "1");
134   bignum.ShiftLeft(4);
135   CHECK(bignum.ToHexString(buffer, kBufferSize));
136   CHECK_EQ("10", buffer);
137 
138   AssignHexString(&bignum, "1");
139   bignum.ShiftLeft(32);
140   CHECK(bignum.ToHexString(buffer, kBufferSize));
141   CHECK_EQ("100000000", buffer);
142 
143   AssignHexString(&bignum, "1");
144   bignum.ShiftLeft(64);
145   CHECK(bignum.ToHexString(buffer, kBufferSize));
146   CHECK_EQ("10000000000000000", buffer);
147 
148   AssignHexString(&bignum, "123456789ABCDEF");
149   bignum.ShiftLeft(64);
150   CHECK(bignum.ToHexString(buffer, kBufferSize));
151   CHECK_EQ("123456789ABCDEF0000000000000000", buffer);
152   bignum.ShiftLeft(1);
153   CHECK(bignum.ToHexString(buffer, kBufferSize));
154   CHECK_EQ("2468ACF13579BDE0000000000000000", buffer);
155 }
156 
157 
TEST(AddUInt64)158 TEST(AddUInt64) {
159   char buffer[kBufferSize];
160   Bignum bignum;
161   AssignHexString(&bignum, "0");
162   bignum.AddUInt64(0xA);
163   CHECK(bignum.ToHexString(buffer, kBufferSize));
164   CHECK_EQ("A", buffer);
165 
166   AssignHexString(&bignum, "1");
167   bignum.AddUInt64(0xA);
168   CHECK(bignum.ToHexString(buffer, kBufferSize));
169   CHECK_EQ("B", buffer);
170 
171   AssignHexString(&bignum, "1");
172   bignum.AddUInt64(0x100);
173   CHECK(bignum.ToHexString(buffer, kBufferSize));
174   CHECK_EQ("101", buffer);
175 
176   AssignHexString(&bignum, "1");
177   bignum.AddUInt64(0xFFFF);
178   CHECK(bignum.ToHexString(buffer, kBufferSize));
179   CHECK_EQ("10000", buffer);
180 
181   AssignHexString(&bignum, "FFFFFFF");
182   bignum.AddUInt64(0x1);
183   CHECK(bignum.ToHexString(buffer, kBufferSize));
184   CHECK_EQ("10000000", buffer);
185 
186   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
187   bignum.AddUInt64(0xFFFF);
188   CHECK(bignum.ToHexString(buffer, kBufferSize));
189   CHECK_EQ("1000000000000000000000000000000000000000FFFF", buffer);
190 
191   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
192   bignum.AddUInt64(0x1);
193   CHECK(bignum.ToHexString(buffer, kBufferSize));
194   CHECK_EQ("100000000000000000000000000000000000000000000", buffer);
195 
196   bignum.AssignUInt16(0x1);
197   bignum.ShiftLeft(100);
198   bignum.AddUInt64(1);
199   CHECK(bignum.ToHexString(buffer, kBufferSize));
200   CHECK_EQ("10000000000000000000000001", buffer);
201 
202   bignum.AssignUInt16(0x1);
203   bignum.ShiftLeft(100);
204   bignum.AddUInt64(0xFFFF);
205   CHECK(bignum.ToHexString(buffer, kBufferSize));
206   CHECK_EQ("1000000000000000000000FFFF", buffer);
207 
208   AssignHexString(&bignum, "0");
209   bignum.AddUInt64(V8_2PART_UINT64_C(0xA, 00000000));
210   CHECK(bignum.ToHexString(buffer, kBufferSize));
211   CHECK_EQ("A00000000", buffer);
212 
213   AssignHexString(&bignum, "1");
214   bignum.AddUInt64(V8_2PART_UINT64_C(0xA, 00000000));
215   CHECK(bignum.ToHexString(buffer, kBufferSize));
216   CHECK_EQ("A00000001", buffer);
217 
218   AssignHexString(&bignum, "1");
219   bignum.AddUInt64(V8_2PART_UINT64_C(0x100, 00000000));
220   CHECK(bignum.ToHexString(buffer, kBufferSize));
221   CHECK_EQ("10000000001", buffer);
222 
223   AssignHexString(&bignum, "1");
224   bignum.AddUInt64(V8_2PART_UINT64_C(0xFFFF, 00000000));
225   CHECK(bignum.ToHexString(buffer, kBufferSize));
226   CHECK_EQ("FFFF00000001", buffer);
227 
228   AssignHexString(&bignum, "FFFFFFF");
229   bignum.AddUInt64(V8_2PART_UINT64_C(0x1, 00000000));
230   CHECK(bignum.ToHexString(buffer, kBufferSize));
231   CHECK_EQ("10FFFFFFF", buffer);
232 
233   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
234   bignum.AddUInt64(V8_2PART_UINT64_C(0xFFFF, 00000000));
235   CHECK(bignum.ToHexString(buffer, kBufferSize));
236   CHECK_EQ("10000000000000000000000000000000FFFF00000000", buffer);
237 
238   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
239   bignum.AddUInt64(V8_2PART_UINT64_C(0x1, 00000000));
240   CHECK(bignum.ToHexString(buffer, kBufferSize));
241   CHECK_EQ("1000000000000000000000000000000000000FFFFFFFF", buffer);
242 
243   bignum.AssignUInt16(0x1);
244   bignum.ShiftLeft(100);
245   bignum.AddUInt64(V8_2PART_UINT64_C(0x1, 00000000));
246   CHECK(bignum.ToHexString(buffer, kBufferSize));
247   CHECK_EQ("10000000000000000100000000", buffer);
248 
249   bignum.AssignUInt16(0x1);
250   bignum.ShiftLeft(100);
251   bignum.AddUInt64(V8_2PART_UINT64_C(0xFFFF, 00000000));
252   CHECK(bignum.ToHexString(buffer, kBufferSize));
253   CHECK_EQ("10000000000000FFFF00000000", buffer);
254 }
255 
256 
TEST(AddBignum)257 TEST(AddBignum) {
258   char buffer[kBufferSize];
259   Bignum bignum;
260   Bignum other;
261 
262   AssignHexString(&other, "1");
263   AssignHexString(&bignum, "0");
264   bignum.AddBignum(other);
265   CHECK(bignum.ToHexString(buffer, kBufferSize));
266   CHECK_EQ("1", buffer);
267 
268   AssignHexString(&bignum, "1");
269   bignum.AddBignum(other);
270   CHECK(bignum.ToHexString(buffer, kBufferSize));
271   CHECK_EQ("2", buffer);
272 
273   AssignHexString(&bignum, "FFFFFFF");
274   bignum.AddBignum(other);
275   CHECK(bignum.ToHexString(buffer, kBufferSize));
276   CHECK_EQ("10000000", buffer);
277 
278   AssignHexString(&bignum, "FFFFFFFFFFFFFF");
279   bignum.AddBignum(other);
280   CHECK(bignum.ToHexString(buffer, kBufferSize));
281   CHECK_EQ("100000000000000", buffer);
282 
283   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
284   bignum.AddBignum(other);
285   CHECK(bignum.ToHexString(buffer, kBufferSize));
286   CHECK_EQ("10000000000000000000000000000000000000000001", buffer);
287 
288   AssignHexString(&other, "1000000000000");
289 
290   AssignHexString(&bignum, "1");
291   bignum.AddBignum(other);
292   CHECK(bignum.ToHexString(buffer, kBufferSize));
293   CHECK_EQ("1000000000001", buffer);
294 
295   AssignHexString(&bignum, "FFFFFFF");
296   bignum.AddBignum(other);
297   CHECK(bignum.ToHexString(buffer, kBufferSize));
298   CHECK_EQ("100000FFFFFFF", buffer);
299 
300   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
301   bignum.AddBignum(other);
302   CHECK(bignum.ToHexString(buffer, kBufferSize));
303   CHECK_EQ("10000000000000000000000000000001000000000000", buffer);
304 
305   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
306   bignum.AddBignum(other);
307   CHECK(bignum.ToHexString(buffer, kBufferSize));
308   CHECK_EQ("1000000000000000000000000000000FFFFFFFFFFFF", buffer);
309 
310   bignum.AssignUInt16(0x1);
311   bignum.ShiftLeft(100);
312   bignum.AddBignum(other);
313   CHECK(bignum.ToHexString(buffer, kBufferSize));
314   CHECK_EQ("10000000000001000000000000", buffer);
315 
316   other.ShiftLeft(64);
317   // other == "10000000000000000000000000000"
318 
319   bignum.AssignUInt16(0x1);
320   bignum.AddBignum(other);
321   CHECK(bignum.ToHexString(buffer, kBufferSize));
322   CHECK_EQ("10000000000000000000000000001", buffer);
323 
324   AssignHexString(&bignum, "FFFFFFF");
325   bignum.AddBignum(other);
326   CHECK(bignum.ToHexString(buffer, kBufferSize));
327   CHECK_EQ("1000000000000000000000FFFFFFF", buffer);
328 
329   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
330   bignum.AddBignum(other);
331   CHECK(bignum.ToHexString(buffer, kBufferSize));
332   CHECK_EQ("10000000000000010000000000000000000000000000", buffer);
333 
334   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
335   bignum.AddBignum(other);
336   CHECK(bignum.ToHexString(buffer, kBufferSize));
337   CHECK_EQ("100000000000000FFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer);
338 
339   bignum.AssignUInt16(0x1);
340   bignum.ShiftLeft(100);
341   bignum.AddBignum(other);
342   CHECK(bignum.ToHexString(buffer, kBufferSize));
343   CHECK_EQ("10010000000000000000000000000", buffer);
344 }
345 
346 
TEST(SubtractBignum)347 TEST(SubtractBignum) {
348   char buffer[kBufferSize];
349   Bignum bignum;
350   Bignum other;
351 
352   AssignHexString(&bignum, "1");
353   AssignHexString(&other, "0");
354   bignum.SubtractBignum(other);
355   CHECK(bignum.ToHexString(buffer, kBufferSize));
356   CHECK_EQ("1", buffer);
357 
358   AssignHexString(&bignum, "2");
359   AssignHexString(&other, "0");
360   bignum.SubtractBignum(other);
361   CHECK(bignum.ToHexString(buffer, kBufferSize));
362   CHECK_EQ("2", buffer);
363 
364   AssignHexString(&bignum, "10000000");
365   AssignHexString(&other, "1");
366   bignum.SubtractBignum(other);
367   CHECK(bignum.ToHexString(buffer, kBufferSize));
368   CHECK_EQ("FFFFFFF", buffer);
369 
370   AssignHexString(&bignum, "100000000000000");
371   AssignHexString(&other, "1");
372   bignum.SubtractBignum(other);
373   CHECK(bignum.ToHexString(buffer, kBufferSize));
374   CHECK_EQ("FFFFFFFFFFFFFF", buffer);
375 
376   AssignHexString(&bignum, "10000000000000000000000000000000000000000001");
377   AssignHexString(&other, "1");
378   bignum.SubtractBignum(other);
379   CHECK(bignum.ToHexString(buffer, kBufferSize));
380   CHECK_EQ("10000000000000000000000000000000000000000000", buffer);
381 
382   AssignHexString(&bignum, "1000000000001");
383   AssignHexString(&other, "1000000000000");
384   bignum.SubtractBignum(other);
385   CHECK(bignum.ToHexString(buffer, kBufferSize));
386   CHECK_EQ("1", buffer);
387 
388   AssignHexString(&bignum, "100000FFFFFFF");
389   AssignHexString(&other, "1000000000000");
390   bignum.SubtractBignum(other);
391   CHECK(bignum.ToHexString(buffer, kBufferSize));
392   CHECK_EQ("FFFFFFF", buffer);
393 
394   AssignHexString(&bignum, "10000000000000000000000000000001000000000000");
395   AssignHexString(&other, "1000000000000");
396   bignum.SubtractBignum(other);
397   CHECK(bignum.ToHexString(buffer, kBufferSize));
398   CHECK_EQ("10000000000000000000000000000000000000000000", buffer);
399 
400   AssignHexString(&bignum, "1000000000000000000000000000000FFFFFFFFFFFF");
401   AssignHexString(&other, "1000000000000");
402   bignum.SubtractBignum(other);
403   CHECK(bignum.ToHexString(buffer, kBufferSize));
404   CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer);
405 
406   bignum.AssignUInt16(0x1);
407   bignum.ShiftLeft(100);
408   // "10 0000 0000 0000 0000 0000 0000"
409   AssignHexString(&other, "1000000000000");
410   bignum.SubtractBignum(other);
411   CHECK(bignum.ToHexString(buffer, kBufferSize));
412   CHECK_EQ("FFFFFFFFFFFFF000000000000", buffer);
413 
414   AssignHexString(&other, "1000000000000");
415   other.ShiftLeft(48);
416   // other == "1000000000000000000000000"
417 
418   bignum.AssignUInt16(0x1);
419   bignum.ShiftLeft(100);
420   // bignum == "10000000000000000000000000"
421   bignum.SubtractBignum(other);
422   CHECK(bignum.ToHexString(buffer, kBufferSize));
423   CHECK_EQ("F000000000000000000000000", buffer);
424 
425   other.AssignUInt16(0x1);
426   other.ShiftLeft(35);
427   // other == "800000000"
428   AssignHexString(&bignum, "FFFFFFF");
429   bignum.ShiftLeft(60);
430   // bignum = FFFFFFF000000000000000
431   bignum.SubtractBignum(other);
432   CHECK(bignum.ToHexString(buffer, kBufferSize));
433   CHECK_EQ("FFFFFFEFFFFFF800000000", buffer);
434 
435   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
436   bignum.SubtractBignum(other);
437   CHECK(bignum.ToHexString(buffer, kBufferSize));
438   CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF800000000", buffer);
439 
440   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
441   bignum.SubtractBignum(other);
442   CHECK(bignum.ToHexString(buffer, kBufferSize));
443   CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFF", buffer);
444 }
445 
446 
TEST(MultiplyUInt32)447 TEST(MultiplyUInt32) {
448   char buffer[kBufferSize];
449   Bignum bignum;
450 
451   AssignHexString(&bignum, "0");
452   bignum.MultiplyByUInt32(0x25);
453   CHECK(bignum.ToHexString(buffer, kBufferSize));
454   CHECK_EQ("0", buffer);
455 
456   AssignHexString(&bignum, "2");
457   bignum.MultiplyByUInt32(0x5);
458   CHECK(bignum.ToHexString(buffer, kBufferSize));
459   CHECK_EQ("A", buffer);
460 
461   AssignHexString(&bignum, "10000000");
462   bignum.MultiplyByUInt32(0x9);
463   CHECK(bignum.ToHexString(buffer, kBufferSize));
464   CHECK_EQ("90000000", buffer);
465 
466   AssignHexString(&bignum, "100000000000000");
467   bignum.MultiplyByUInt32(0xFFFF);
468   CHECK(bignum.ToHexString(buffer, kBufferSize));
469   CHECK_EQ("FFFF00000000000000", buffer);
470 
471   AssignHexString(&bignum, "100000000000000");
472   bignum.MultiplyByUInt32(0xFFFFFFFF);
473   CHECK(bignum.ToHexString(buffer, kBufferSize));
474   CHECK_EQ("FFFFFFFF00000000000000", buffer);
475 
476   AssignHexString(&bignum, "1234567ABCD");
477   bignum.MultiplyByUInt32(0xFFF);
478   CHECK(bignum.ToHexString(buffer, kBufferSize));
479   CHECK_EQ("12333335552433", buffer);
480 
481   AssignHexString(&bignum, "1234567ABCD");
482   bignum.MultiplyByUInt32(0xFFFFFFF);
483   CHECK(bignum.ToHexString(buffer, kBufferSize));
484   CHECK_EQ("12345679998A985433", buffer);
485 
486   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
487   bignum.MultiplyByUInt32(0x2);
488   CHECK(bignum.ToHexString(buffer, kBufferSize));
489   CHECK_EQ("1FFFFFFFFFFFFFFFE", buffer);
490 
491   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
492   bignum.MultiplyByUInt32(0x4);
493   CHECK(bignum.ToHexString(buffer, kBufferSize));
494   CHECK_EQ("3FFFFFFFFFFFFFFFC", buffer);
495 
496   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
497   bignum.MultiplyByUInt32(0xF);
498   CHECK(bignum.ToHexString(buffer, kBufferSize));
499   CHECK_EQ("EFFFFFFFFFFFFFFF1", buffer);
500 
501   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
502   bignum.MultiplyByUInt32(0xFFFFFF);
503   CHECK(bignum.ToHexString(buffer, kBufferSize));
504   CHECK_EQ("FFFFFEFFFFFFFFFF000001", buffer);
505 
506   bignum.AssignUInt16(0x1);
507   bignum.ShiftLeft(100);
508   // "10 0000 0000 0000 0000 0000 0000"
509   bignum.MultiplyByUInt32(2);
510   CHECK(bignum.ToHexString(buffer, kBufferSize));
511   CHECK_EQ("20000000000000000000000000", buffer);
512 
513   bignum.AssignUInt16(0x1);
514   bignum.ShiftLeft(100);
515   // "10 0000 0000 0000 0000 0000 0000"
516   bignum.MultiplyByUInt32(0xF);
517   CHECK(bignum.ToHexString(buffer, kBufferSize));
518   CHECK_EQ("F0000000000000000000000000", buffer);
519 
520   bignum.AssignUInt16(0xFFFF);
521   bignum.ShiftLeft(100);
522   // "FFFF0 0000 0000 0000 0000 0000 0000"
523   bignum.MultiplyByUInt32(0xFFFF);
524   CHECK(bignum.ToHexString(buffer, kBufferSize));
525   CHECK_EQ("FFFE00010000000000000000000000000", buffer);
526 
527   bignum.AssignUInt16(0xFFFF);
528   bignum.ShiftLeft(100);
529   // "FFFF0 0000 0000 0000 0000 0000 0000"
530   bignum.MultiplyByUInt32(0xFFFFFFFF);
531   CHECK(bignum.ToHexString(buffer, kBufferSize));
532   CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer);
533 
534   bignum.AssignUInt16(0xFFFF);
535   bignum.ShiftLeft(100);
536   // "FFFF0 0000 0000 0000 0000 0000 0000"
537   bignum.MultiplyByUInt32(0xFFFFFFFF);
538   CHECK(bignum.ToHexString(buffer, kBufferSize));
539   CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer);
540 
541   AssignDecimalString(&bignum, "15611230384529777");
542   bignum.MultiplyByUInt32(10000000);
543   CHECK(bignum.ToHexString(buffer, kBufferSize));
544   CHECK_EQ("210EDD6D4CDD2580EE80", buffer);
545 }
546 
547 
TEST(MultiplyUInt64)548 TEST(MultiplyUInt64) {
549   char buffer[kBufferSize];
550   Bignum bignum;
551 
552   AssignHexString(&bignum, "0");
553   bignum.MultiplyByUInt64(0x25);
554   CHECK(bignum.ToHexString(buffer, kBufferSize));
555   CHECK_EQ("0", buffer);
556 
557   AssignHexString(&bignum, "2");
558   bignum.MultiplyByUInt64(0x5);
559   CHECK(bignum.ToHexString(buffer, kBufferSize));
560   CHECK_EQ("A", buffer);
561 
562   AssignHexString(&bignum, "10000000");
563   bignum.MultiplyByUInt64(0x9);
564   CHECK(bignum.ToHexString(buffer, kBufferSize));
565   CHECK_EQ("90000000", buffer);
566 
567   AssignHexString(&bignum, "100000000000000");
568   bignum.MultiplyByUInt64(0xFFFF);
569   CHECK(bignum.ToHexString(buffer, kBufferSize));
570   CHECK_EQ("FFFF00000000000000", buffer);
571 
572   AssignHexString(&bignum, "100000000000000");
573   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF));
574   CHECK(bignum.ToHexString(buffer, kBufferSize));
575   CHECK_EQ("FFFFFFFFFFFFFFFF00000000000000", buffer);
576 
577   AssignHexString(&bignum, "1234567ABCD");
578   bignum.MultiplyByUInt64(0xFFF);
579   CHECK(bignum.ToHexString(buffer, kBufferSize));
580   CHECK_EQ("12333335552433", buffer);
581 
582   AssignHexString(&bignum, "1234567ABCD");
583   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFF, FFFFFFFF));
584   CHECK(bignum.ToHexString(buffer, kBufferSize));
585   CHECK_EQ("1234567ABCBDCBA985433", buffer);
586 
587   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
588   bignum.MultiplyByUInt64(0x2);
589   CHECK(bignum.ToHexString(buffer, kBufferSize));
590   CHECK_EQ("1FFFFFFFFFFFFFFFE", buffer);
591 
592   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
593   bignum.MultiplyByUInt64(0x4);
594   CHECK(bignum.ToHexString(buffer, kBufferSize));
595   CHECK_EQ("3FFFFFFFFFFFFFFFC", buffer);
596 
597   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
598   bignum.MultiplyByUInt64(0xF);
599   CHECK(bignum.ToHexString(buffer, kBufferSize));
600   CHECK_EQ("EFFFFFFFFFFFFFFF1", buffer);
601 
602   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
603   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF));
604   CHECK(bignum.ToHexString(buffer, kBufferSize));
605   CHECK_EQ("FFFFFFFFFFFFFFFE0000000000000001", buffer);
606 
607   bignum.AssignUInt16(0x1);
608   bignum.ShiftLeft(100);
609   // "10 0000 0000 0000 0000 0000 0000"
610   bignum.MultiplyByUInt64(2);
611   CHECK(bignum.ToHexString(buffer, kBufferSize));
612   CHECK_EQ("20000000000000000000000000", buffer);
613 
614   bignum.AssignUInt16(0x1);
615   bignum.ShiftLeft(100);
616   // "10 0000 0000 0000 0000 0000 0000"
617   bignum.MultiplyByUInt64(0xF);
618   CHECK(bignum.ToHexString(buffer, kBufferSize));
619   CHECK_EQ("F0000000000000000000000000", buffer);
620 
621   bignum.AssignUInt16(0xFFFF);
622   bignum.ShiftLeft(100);
623   // "FFFF0 0000 0000 0000 0000 0000 0000"
624   bignum.MultiplyByUInt64(0xFFFF);
625   CHECK(bignum.ToHexString(buffer, kBufferSize));
626   CHECK_EQ("FFFE00010000000000000000000000000", buffer);
627 
628   bignum.AssignUInt16(0xFFFF);
629   bignum.ShiftLeft(100);
630   // "FFFF0 0000 0000 0000 0000 0000 0000"
631   bignum.MultiplyByUInt64(0xFFFFFFFF);
632   CHECK(bignum.ToHexString(buffer, kBufferSize));
633   CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer);
634 
635   bignum.AssignUInt16(0xFFFF);
636   bignum.ShiftLeft(100);
637   // "FFFF0 0000 0000 0000 0000 0000 0000"
638   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF));
639   CHECK(bignum.ToHexString(buffer, kBufferSize));
640   CHECK_EQ("FFFEFFFFFFFFFFFF00010000000000000000000000000", buffer);
641 
642   AssignDecimalString(&bignum, "15611230384529777");
643   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0x8ac72304, 89e80000));
644   CHECK(bignum.ToHexString(buffer, kBufferSize));
645   CHECK_EQ("1E10EE4B11D15A7F3DE7F3C7680000", buffer);
646 }
647 
648 
TEST(MultiplyPowerOfTen)649 TEST(MultiplyPowerOfTen) {
650   char buffer[kBufferSize];
651   Bignum bignum;
652 
653   AssignDecimalString(&bignum, "1234");
654   bignum.MultiplyByPowerOfTen(1);
655   CHECK(bignum.ToHexString(buffer, kBufferSize));
656   CHECK_EQ("3034", buffer);
657 
658   AssignDecimalString(&bignum, "1234");
659   bignum.MultiplyByPowerOfTen(2);
660   CHECK(bignum.ToHexString(buffer, kBufferSize));
661   CHECK_EQ("1E208", buffer);
662 
663   AssignDecimalString(&bignum, "1234");
664   bignum.MultiplyByPowerOfTen(3);
665   CHECK(bignum.ToHexString(buffer, kBufferSize));
666   CHECK_EQ("12D450", buffer);
667 
668   AssignDecimalString(&bignum, "1234");
669   bignum.MultiplyByPowerOfTen(4);
670   CHECK(bignum.ToHexString(buffer, kBufferSize));
671   CHECK_EQ("BC4B20", buffer);
672 
673   AssignDecimalString(&bignum, "1234");
674   bignum.MultiplyByPowerOfTen(5);
675   CHECK(bignum.ToHexString(buffer, kBufferSize));
676   CHECK_EQ("75AEF40", buffer);
677 
678   AssignDecimalString(&bignum, "1234");
679   bignum.MultiplyByPowerOfTen(6);
680   CHECK(bignum.ToHexString(buffer, kBufferSize));
681   CHECK_EQ("498D5880", buffer);
682 
683   AssignDecimalString(&bignum, "1234");
684   bignum.MultiplyByPowerOfTen(7);
685   CHECK(bignum.ToHexString(buffer, kBufferSize));
686   CHECK_EQ("2DF857500", buffer);
687 
688   AssignDecimalString(&bignum, "1234");
689   bignum.MultiplyByPowerOfTen(8);
690   CHECK(bignum.ToHexString(buffer, kBufferSize));
691   CHECK_EQ("1CBB369200", buffer);
692 
693   AssignDecimalString(&bignum, "1234");
694   bignum.MultiplyByPowerOfTen(9);
695   CHECK(bignum.ToHexString(buffer, kBufferSize));
696   CHECK_EQ("11F5021B400", buffer);
697 
698   AssignDecimalString(&bignum, "1234");
699   bignum.MultiplyByPowerOfTen(10);
700   CHECK(bignum.ToHexString(buffer, kBufferSize));
701   CHECK_EQ("B3921510800", buffer);
702 
703   AssignDecimalString(&bignum, "1234");
704   bignum.MultiplyByPowerOfTen(11);
705   CHECK(bignum.ToHexString(buffer, kBufferSize));
706   CHECK_EQ("703B4D2A5000", buffer);
707 
708   AssignDecimalString(&bignum, "1234");
709   bignum.MultiplyByPowerOfTen(12);
710   CHECK(bignum.ToHexString(buffer, kBufferSize));
711   CHECK_EQ("4625103A72000", buffer);
712 
713   AssignDecimalString(&bignum, "1234");
714   bignum.MultiplyByPowerOfTen(13);
715   CHECK(bignum.ToHexString(buffer, kBufferSize));
716   CHECK_EQ("2BD72A24874000", buffer);
717 
718   AssignDecimalString(&bignum, "1234");
719   bignum.MultiplyByPowerOfTen(14);
720   CHECK(bignum.ToHexString(buffer, kBufferSize));
721   CHECK_EQ("1B667A56D488000", buffer);
722 
723   AssignDecimalString(&bignum, "1234");
724   bignum.MultiplyByPowerOfTen(15);
725   CHECK(bignum.ToHexString(buffer, kBufferSize));
726   CHECK_EQ("11200C7644D50000", buffer);
727 
728   AssignDecimalString(&bignum, "1234");
729   bignum.MultiplyByPowerOfTen(16);
730   CHECK(bignum.ToHexString(buffer, kBufferSize));
731   CHECK_EQ("AB407C9EB0520000", buffer);
732 
733   AssignDecimalString(&bignum, "1234");
734   bignum.MultiplyByPowerOfTen(17);
735   CHECK(bignum.ToHexString(buffer, kBufferSize));
736   CHECK_EQ("6B084DE32E3340000", buffer);
737 
738   AssignDecimalString(&bignum, "1234");
739   bignum.MultiplyByPowerOfTen(18);
740   CHECK(bignum.ToHexString(buffer, kBufferSize));
741   CHECK_EQ("42E530ADFCE0080000", buffer);
742 
743   AssignDecimalString(&bignum, "1234");
744   bignum.MultiplyByPowerOfTen(19);
745   CHECK(bignum.ToHexString(buffer, kBufferSize));
746   CHECK_EQ("29CF3E6CBE0C0500000", buffer);
747 
748   AssignDecimalString(&bignum, "1234");
749   bignum.MultiplyByPowerOfTen(20);
750   CHECK(bignum.ToHexString(buffer, kBufferSize));
751   CHECK_EQ("1A218703F6C783200000", buffer);
752 
753   AssignDecimalString(&bignum, "1234");
754   bignum.MultiplyByPowerOfTen(21);
755   CHECK(bignum.ToHexString(buffer, kBufferSize));
756   CHECK_EQ("1054F4627A3CB1F400000", buffer);
757 
758   AssignDecimalString(&bignum, "1234");
759   bignum.MultiplyByPowerOfTen(22);
760   CHECK(bignum.ToHexString(buffer, kBufferSize));
761   CHECK_EQ("A3518BD8C65EF38800000", buffer);
762 
763   AssignDecimalString(&bignum, "1234");
764   bignum.MultiplyByPowerOfTen(23);
765   CHECK(bignum.ToHexString(buffer, kBufferSize));
766   CHECK_EQ("6612F7677BFB5835000000", buffer);
767 
768   AssignDecimalString(&bignum, "1234");
769   bignum.MultiplyByPowerOfTen(24);
770   CHECK(bignum.ToHexString(buffer, kBufferSize));
771   CHECK_EQ("3FCBDAA0AD7D17212000000", buffer);
772 
773   AssignDecimalString(&bignum, "1234");
774   bignum.MultiplyByPowerOfTen(25);
775   CHECK(bignum.ToHexString(buffer, kBufferSize));
776   CHECK_EQ("27DF68A46C6E2E74B4000000", buffer);
777 
778   AssignDecimalString(&bignum, "1234");
779   bignum.MultiplyByPowerOfTen(26);
780   CHECK(bignum.ToHexString(buffer, kBufferSize));
781   CHECK_EQ("18EBA166C3C4DD08F08000000", buffer);
782 
783   AssignDecimalString(&bignum, "1234");
784   bignum.MultiplyByPowerOfTen(27);
785   CHECK(bignum.ToHexString(buffer, kBufferSize));
786   CHECK_EQ("F9344E03A5B0A259650000000", buffer);
787 
788   AssignDecimalString(&bignum, "1234");
789   bignum.MultiplyByPowerOfTen(28);
790   CHECK(bignum.ToHexString(buffer, kBufferSize));
791   CHECK_EQ("9BC0B0C2478E6577DF20000000", buffer);
792 
793   AssignDecimalString(&bignum, "1234");
794   bignum.MultiplyByPowerOfTen(29);
795   CHECK(bignum.ToHexString(buffer, kBufferSize));
796   CHECK_EQ("61586E796CB8FF6AEB740000000", buffer);
797 
798   AssignDecimalString(&bignum, "1234");
799   bignum.MultiplyByPowerOfTen(30);
800   CHECK(bignum.ToHexString(buffer, kBufferSize));
801   CHECK_EQ("3CD7450BE3F39FA2D32880000000", buffer);
802 
803   AssignDecimalString(&bignum, "1234");
804   bignum.MultiplyByPowerOfTen(31);
805   CHECK(bignum.ToHexString(buffer, kBufferSize));
806   CHECK_EQ("26068B276E7843C5C3F9500000000", buffer);
807 
808   AssignDecimalString(&bignum, "1234");
809   bignum.MultiplyByPowerOfTen(50);
810   CHECK(bignum.ToHexString(buffer, kBufferSize));
811   CHECK_EQ("149D1B4CFED03B23AB5F4E1196EF45C08000000000000", buffer);
812 
813   AssignDecimalString(&bignum, "1234");
814   bignum.MultiplyByPowerOfTen(100);
815   CHECK(bignum.ToHexString(buffer, kBufferSize));
816   CHECK_EQ("5827249F27165024FBC47DFCA9359BF316332D1B91ACEECF471FBAB06D9B2"
817            "0000000000000000000000000", buffer);
818 
819   AssignDecimalString(&bignum, "1234");
820   bignum.MultiplyByPowerOfTen(200);
821   CHECK(bignum.ToHexString(buffer, kBufferSize));
822   CHECK_EQ("64C1F5C06C3816AFBF8DAFD5A3D756365BB0FD020E6F084E759C1F7C99E4F"
823            "55B9ACC667CEC477EB958C2AEEB3C6C19BA35A1AD30B35C51EB72040920000"
824            "0000000000000000000000000000000000000000000000", buffer);
825 
826   AssignDecimalString(&bignum, "1234");
827   bignum.MultiplyByPowerOfTen(500);
828   CHECK(bignum.ToHexString(buffer, kBufferSize));
829   CHECK_EQ("96741A625EB5D7C91039FEB5C5ACD6D9831EDA5B083D800E6019442C8C8223"
830            "3EAFB3501FE2058062221E15121334928880827DEE1EC337A8B26489F3A40A"
831            "CB440A2423734472D10BFCE886F41B3AF9F9503013D86D088929CA86EEB4D8"
832            "B9C831D0BD53327B994A0326227CFD0ECBF2EB48B02387AAE2D4CCCDF1F1A1"
833            "B8CC4F1FA2C56AD40D0E4DAA9C28CDBF0A549098EA13200000000000000000"
834            "00000000000000000000000000000000000000000000000000000000000000"
835            "0000000000000000000000000000000000000000000000", buffer);
836 
837   AssignDecimalString(&bignum, "1234");
838   bignum.MultiplyByPowerOfTen(1000);
839   CHECK(bignum.ToHexString(buffer, kBufferSize));
840   CHECK_EQ("1258040F99B1CD1CC9819C676D413EA50E4A6A8F114BB0C65418C62D399B81"
841            "6361466CA8E095193E1EE97173553597C96673AF67FAFE27A66E7EF2E5EF2E"
842            "E3F5F5070CC17FE83BA53D40A66A666A02F9E00B0E11328D2224B8694C7372"
843            "F3D536A0AD1985911BD361496F268E8B23112500EAF9B88A9BC67B2AB04D38"
844            "7FEFACD00F5AF4F764F9ABC3ABCDE54612DE38CD90CB6647CA389EA0E86B16"
845            "BF7A1F34086E05ADBE00BD1673BE00FAC4B34AF1091E8AD50BA675E0381440"
846            "EA8E9D93E75D816BAB37C9844B1441C38FC65CF30ABB71B36433AF26DD97BD"
847            "ABBA96C03B4919B8F3515B92826B85462833380DC193D79F69D20DD6038C99"
848            "6114EF6C446F0BA28CC772ACBA58B81C04F8FFDE7B18C4E5A3ABC51E637FDF"
849            "6E37FDFF04C940919390F4FF92000000000000000000000000000000000000"
850            "00000000000000000000000000000000000000000000000000000000000000"
851            "00000000000000000000000000000000000000000000000000000000000000"
852            "00000000000000000000000000000000000000000000000000000000000000"
853            "0000000000000000000000000000", buffer);
854 
855   Bignum bignum2;
856   AssignHexString(&bignum2, "3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
857                             "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
858                             "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
859                             "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
860                             "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
861                             "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
862                             "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
863                             "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
864                             "C667A10958EA6D2");
865   CHECK(bignum2.ToHexString(buffer, kBufferSize));
866   CHECK_EQ("3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
867            "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
868            "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
869            "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
870            "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
871            "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
872            "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
873            "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
874            "C667A10958EA6D2", buffer);
875 
876   bignum.AssignBignum(bignum2);
877   bignum.MultiplyByPowerOfTen(1);
878   CHECK(bignum.ToHexString(buffer, kBufferSize));
879   CHECK_EQ("2688A8F84FD1AB949930261C0986DB4DF931E85A8AD2FA8921284EE1C2BC51"
880            "E55915823BBA5789E7EC99E326EEE69F543ECE890929DED9AC79489884BE57"
881            "630AD569E121BB76ED8DAC8FB545A8AFDADF1F8860599AFC47A93B6346C191"
882            "7237F5BD36B73EB29371F4A4EE7A116CB5E8E5808D1BEA4D7F7E3716090C13"
883            "F29E5DDA53F0FD513362A2D20F6505314B9419DB967F8A8A89589FC43917C3"
884            "BB892062B17CBE421DB0D47E34ACCCE060D422CFF60DCBD0277EE038BD509C"
885            "7BC494D8D854F5B76696F927EA99BC00C4A5D7928434", buffer);
886 
887   bignum.AssignBignum(bignum2);
888   bignum.MultiplyByPowerOfTen(2);
889   CHECK(bignum.ToHexString(buffer, kBufferSize));
890   CHECK_EQ("1815699B31E30B3CDFBE17D185F44910BBBF313896C3DC95B4B9314D19B5B32"
891            "F57AD71655476B630F3E02DF855502394A74115A5BA2B480BCBCD5F52F6F69D"
892            "E6C5622CB5152A54788BD9D14B896DE8CB73B53C3800DDACC9C51E0C38FAE76"
893            "2F9964232872F9C2738E7150C4AE3F1B18F70583172706FAEE26DC5A78C77A2"
894            "FAA874769E52C01DA5C3499F233ECF3C90293E0FB69695D763DAA3AEDA5535B"
895            "43DAEEDF6E9528E84CEE0EC000C3C8495C1F9C89F6218AF4C23765261CD5ADD"
896            "0787351992A01E5BB8F2A015807AE7A6BB92A08", buffer);
897 
898   bignum.AssignBignum(bignum2);
899   bignum.MultiplyByPowerOfTen(5);
900   CHECK(bignum.ToHexString(buffer, kBufferSize));
901   CHECK_EQ("5E13A4863ADEE3E5C9FE8D0A73423D695D62D8450CED15A8C9F368952C6DC3"
902            "F0EE7D82F3D1EFB7AF38A3B3920D410AFCAD563C8F5F39116E141A3C5C14B3"
903            "58CD73077EA35AAD59F6E24AD98F10D5555ABBFBF33AC361EAF429FD5FBE94"
904            "17DA9EF2F2956011F9F93646AA38048A681D984ED88127073443247CCC167C"
905            "B354A32206EF5A733E73CF82D795A1AD598493211A6D613C39515E0E0F6304"
906            "DCD9C810F3518C7F6A7CB6C81E99E02FCC65E8FDB7B7AE97306CC16A8631CE"
907            "0A2AEF6568276BE4C176964A73C153FDE018E34CB4C2F40", buffer);
908 
909   bignum.AssignBignum(bignum2);
910   bignum.MultiplyByPowerOfTen(10);
911   CHECK(bignum.ToHexString(buffer, kBufferSize));
912   CHECK_EQ("8F8CB8EB51945A7E815809F6121EF2F4E61EF3405CD9432CAD2709749EEAFD"
913            "1B81E843F14A3667A7BDCCC9E0BB795F63CDFDB62844AC7438976C885A0116"
914            "29607DA54F9C023CC366570B7637ED0F855D931752038A614922D0923E382C"
915            "B8E5F6C975672DB76E0DE471937BB9EDB11E28874F1C122D5E1EF38CECE9D0"
916            "0723056BCBD4F964192B76830634B1D322B7EB0062F3267E84F5C824343A77"
917            "4B7DCEE6DD464F01EBDC8C671BB18BB4EF4300A42474A6C77243F2A12B03BF"
918            "0443C38A1C0D2701EDB393135AE0DEC94211F9D4EB51F990800", buffer);
919 
920   bignum.AssignBignum(bignum2);
921   bignum.MultiplyByPowerOfTen(50);
922   CHECK(bignum.ToHexString(buffer, kBufferSize));
923   CHECK_EQ("107A8BE345E24407372FC1DE442CBA696BC23C4FFD5B4BDFD9E5C39559815"
924            "86628CF8472D2D589F2FC2BAD6E0816EC72CBF85CCA663D8A1EC6C51076D8"
925            "2D247E6C26811B7EC4D4300FB1F91028DCB7B2C4E7A60C151161AA7E65E79"
926            "B40917B12B2B5FBE7745984D4E8EFA31F9AE6062427B068B144A9CB155873"
927            "E7C0C9F0115E5AC72DC5A73C4796DB970BF9205AB8C77A6996EB1B417F9D1"
928            "6232431E6313C392203601B9C22CC10DDA88DCC6D282605F8DB67044F2DFD"
929            "3695E7BA63877AE16701536AE6567C794D0BFE338DFBB42D924CF964BD2C0"
930            "F586E03A2FCD35A408000000000000", buffer);
931 
932   bignum.AssignBignum(bignum2);
933   bignum.MultiplyByPowerOfTen(100);
934   CHECK(bignum.ToHexString(buffer, kBufferSize));
935   CHECK_EQ("46784A90ACD0ED3E7759CC585FB32D36EB6034A6F78D92604E3BAA5ED3D8B"
936            "6E60E854439BE448897FB4B7EA5A3D873AA0FCB3CFFD80D0530880E45F511"
937            "722A50CE7E058B5A6F5464DB7500E34984EE3202A9441F44FA1554C0CEA96"
938            "B438A36F25E7C9D56D71AE2CD313EC37534DA299AC0854FC48591A7CF3171"
939            "31265AA4AE62DE32344CE7BEEEF894AE686A2DAAFE5D6D9A10971FFD9C064"
940            "5079B209E1048F58B5192D41D84336AC4C8C489EEF00939CFC9D55C122036"
941            "01B9C22CC10DDA88DCC6D282605F8DB67044F2DFD3695E7BA3F67B96D3A32"
942            "E11FB5561B68744C4035B0800DC166D49D98E3FD1D5BB2000000000000000"
943            "0000000000", buffer);
944 
945   bignum.AssignBignum(bignum2);
946   bignum.MultiplyByPowerOfTen(200);
947   CHECK(bignum.ToHexString(buffer, kBufferSize));
948   CHECK_EQ("508BD351221DF139D72D88CDC0416845A53EE2D0E6B98352509A9AC312F8C"
949            "6CB1A144889416201E0B6CE66EA3EBE259B5FD79ECFC1FD77963CE516CC7E"
950            "2FE73D4B5B710C19F6BCB092C7A2FD76286543B8DBD2C596DFF2C896720BA"
951            "DFF7BC9C366ACEA3A880AEC287C5E6207DF2739B5326FC19D773BD830B109"
952            "ED36C7086544BF8FDB9D4B73719C2B5BC2F571A5937EC46876CD428281F6B"
953            "F287E1E07F25C1B1D46BC37324FF657A8B2E0071DB83B86123CA34004F406"
954            "001082D7945E90C6E8C9A9FEC2B44BE0DDA46E9F52B152E4D1336D2FCFBC9"
955            "96E30CA0082256737365158FE36482AA7EB9DAF2AB128F10E7551A3CD5BE6"
956            "0A922F3A7D5EED38B634A7EC95BCF7021BA6820A292000000000000000000"
957            "00000000000000000000000000000000", buffer);
958 
959   bignum.AssignBignum(bignum2);
960   bignum.MultiplyByPowerOfTen(500);
961   CHECK(bignum.ToHexString(buffer, kBufferSize));
962   CHECK_EQ("7845F900E475B5086885BAAAE67C8E85185ACFE4633727F82A4B06B5582AC"
963            "BE933C53357DA0C98C20C5AC900C4D76A97247DF52B79F48F9E35840FB715"
964            "D392CE303E22622B0CF82D9471B398457DD3196F639CEE8BBD2C146873841"
965            "F0699E6C41F04FC7A54B48CEB995BEB6F50FE81DE9D87A8D7F849CC523553"
966            "7B7BBBC1C7CAAFF6E9650BE03B308C6D31012AEF9580F70D3EE2083ADE126"
967            "8940FA7D6308E239775DFD2F8C97FF7EBD525DAFA6512216F7047A62A93DC"
968            "38A0165BDC67E250DCC96A0181DE935A70B38704DC71819F02FC5261FF7E1"
969            "E5F11907678B0A3E519FF4C10A867B0C26CE02BE6960BA8621A87303C101C"
970            "3F88798BB9F7739655946F8B5744E6B1EAF10B0C5621330F0079209033C69"
971            "20DE2E2C8D324F0624463735D482BF291926C22A910F5B80FA25170B6B57D"
972            "8D5928C7BCA3FE87461275F69BD5A1B83181DAAF43E05FC3C72C4E93111B6"
973            "6205EBF49B28FEDFB7E7526CBDA658A332000000000000000000000000000"
974            "0000000000000000000000000000000000000000000000000000000000000"
975            "0000000000000000000000000000000000000", buffer);
976 }
977 
978 
TEST(DivideModuloIntBignum)979 TEST(DivideModuloIntBignum) {
980   char buffer[kBufferSize];
981   Bignum bignum;
982   Bignum other;
983   Bignum third;
984 
985   bignum.AssignUInt16(10);
986   other.AssignUInt16(2);
987   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
988   CHECK(bignum.ToHexString(buffer, kBufferSize));
989   CHECK_EQ("0", buffer);
990 
991   bignum.AssignUInt16(10);
992   bignum.ShiftLeft(500);
993   other.AssignUInt16(2);
994   other.ShiftLeft(500);
995   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
996   CHECK_EQ("0", buffer);
997 
998   bignum.AssignUInt16(11);
999   other.AssignUInt16(2);
1000   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1001   CHECK(bignum.ToHexString(buffer, kBufferSize));
1002   CHECK_EQ("1", buffer);
1003 
1004   bignum.AssignUInt16(10);
1005   bignum.ShiftLeft(500);
1006   other.AssignUInt16(1);
1007   bignum.AddBignum(other);
1008   other.AssignUInt16(2);
1009   other.ShiftLeft(500);
1010   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1011   CHECK(bignum.ToHexString(buffer, kBufferSize));
1012   CHECK_EQ("1", buffer);
1013 
1014   bignum.AssignUInt16(10);
1015   bignum.ShiftLeft(500);
1016   other.AssignBignum(bignum);
1017   bignum.MultiplyByUInt32(0x1234);
1018   third.AssignUInt16(0xFFF);
1019   bignum.AddBignum(third);
1020   CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
1021   CHECK(bignum.ToHexString(buffer, kBufferSize));
1022   CHECK_EQ("FFF", buffer);
1023 
1024   bignum.AssignUInt16(10);
1025   AssignHexString(&other, "1234567890");
1026   CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
1027   CHECK(bignum.ToHexString(buffer, kBufferSize));
1028   CHECK_EQ("A", buffer);
1029 
1030   AssignHexString(&bignum, "12345678");
1031   AssignHexString(&other, "3789012");
1032   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1033   CHECK(bignum.ToHexString(buffer, kBufferSize));
1034   CHECK_EQ("D9861E", buffer);
1035 
1036   AssignHexString(&bignum, "70000001");
1037   AssignHexString(&other, "1FFFFFFF");
1038   CHECK_EQ(3, bignum.DivideModuloIntBignum(other));
1039   CHECK(bignum.ToHexString(buffer, kBufferSize));
1040   CHECK_EQ("10000004", buffer);
1041 
1042   AssignHexString(&bignum, "28000000");
1043   AssignHexString(&other, "12A05F20");
1044   CHECK_EQ(2, bignum.DivideModuloIntBignum(other));
1045   CHECK(bignum.ToHexString(buffer, kBufferSize));
1046   CHECK_EQ("2BF41C0", buffer);
1047 
1048   bignum.AssignUInt16(10);
1049   bignum.ShiftLeft(500);
1050   other.AssignBignum(bignum);
1051   bignum.MultiplyByUInt32(0x1234);
1052   third.AssignUInt16(0xFFF);
1053   other.SubtractBignum(third);
1054   CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
1055   CHECK(bignum.ToHexString(buffer, kBufferSize));
1056   CHECK_EQ("1232DCC", buffer);
1057   CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
1058   CHECK(bignum.ToHexString(buffer, kBufferSize));
1059   CHECK_EQ("1232DCC", buffer);
1060 }
1061 
1062 
TEST(Compare)1063 TEST(Compare) {
1064   Bignum bignum1;
1065   Bignum bignum2;
1066   bignum1.AssignUInt16(1);
1067   bignum2.AssignUInt16(1);
1068   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1069   CHECK(Bignum::Equal(bignum1, bignum2));
1070   CHECK(Bignum::LessEqual(bignum1, bignum2));
1071   CHECK(!Bignum::Less(bignum1, bignum2));
1072 
1073   bignum1.AssignUInt16(0);
1074   bignum2.AssignUInt16(1);
1075   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1076   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1077   CHECK(!Bignum::Equal(bignum1, bignum2));
1078   CHECK(!Bignum::Equal(bignum2, bignum1));
1079   CHECK(Bignum::LessEqual(bignum1, bignum2));
1080   CHECK(!Bignum::LessEqual(bignum2, bignum1));
1081   CHECK(Bignum::Less(bignum1, bignum2));
1082   CHECK(!Bignum::Less(bignum2, bignum1));
1083 
1084   AssignHexString(&bignum1, "1234567890ABCDEF12345");
1085   AssignHexString(&bignum2, "1234567890ABCDEF12345");
1086   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1087 
1088   AssignHexString(&bignum1, "1234567890ABCDEF12345");
1089   AssignHexString(&bignum2, "1234567890ABCDEF12346");
1090   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1091   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1092 
1093   AssignHexString(&bignum1, "1234567890ABCDEF12345");
1094   bignum1.ShiftLeft(500);
1095   AssignHexString(&bignum2, "1234567890ABCDEF12345");
1096   bignum2.ShiftLeft(500);
1097   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1098 
1099   AssignHexString(&bignum1, "1234567890ABCDEF12345");
1100   bignum1.ShiftLeft(500);
1101   AssignHexString(&bignum2, "1234567890ABCDEF12346");
1102   bignum2.ShiftLeft(500);
1103   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1104   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1105 
1106   bignum1.AssignUInt16(1);
1107   bignum1.ShiftLeft(64);
1108   AssignHexString(&bignum2, "10000000000000000");
1109   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1110   CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));
1111 
1112   bignum1.AssignUInt16(1);
1113   bignum1.ShiftLeft(64);
1114   AssignHexString(&bignum2, "10000000000000001");
1115   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1116   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1117 
1118   bignum1.AssignUInt16(1);
1119   bignum1.ShiftLeft(96);
1120   AssignHexString(&bignum2, "10000000000000001");
1121   bignum2.ShiftLeft(32);
1122   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1123   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1124 
1125   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1126   bignum2.AssignUInt16(1);
1127   bignum2.ShiftLeft(64);
1128   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1129   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1130 
1131   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1132   bignum1.ShiftLeft(32);
1133   bignum2.AssignUInt16(1);
1134   bignum2.ShiftLeft(96);
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(95);
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(100);
1149   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1150   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1151 
1152   AssignHexString(&bignum1, "100000000000000");
1153   bignum2.AssignUInt16(1);
1154   bignum2.ShiftLeft(14*4);
1155   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1156   CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));
1157 
1158   AssignHexString(&bignum1, "100000000000001");
1159   bignum2.AssignUInt16(1);
1160   bignum2.ShiftLeft(14*4);
1161   CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2));
1162   CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1));
1163 
1164   AssignHexString(&bignum1, "200000000000000");
1165   bignum2.AssignUInt16(3);
1166   bignum2.ShiftLeft(14*4);
1167   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1168   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1169 }
1170 
1171 
TEST(PlusCompare)1172 TEST(PlusCompare) {
1173   Bignum a;
1174   Bignum b;
1175   Bignum c;
1176   a.AssignUInt16(1);
1177   b.AssignUInt16(0);
1178   c.AssignUInt16(1);
1179   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1180   CHECK(Bignum::PlusEqual(a, b, c));
1181   CHECK(Bignum::PlusLessEqual(a, b, c));
1182   CHECK(!Bignum::PlusLess(a, b, c));
1183 
1184   a.AssignUInt16(0);
1185   b.AssignUInt16(0);
1186   c.AssignUInt16(1);
1187   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1188   CHECK_EQ(+1, Bignum::PlusCompare(c, b, a));
1189   CHECK(!Bignum::PlusEqual(a, b, c));
1190   CHECK(!Bignum::PlusEqual(c, b, a));
1191   CHECK(Bignum::PlusLessEqual(a, b, c));
1192   CHECK(!Bignum::PlusLessEqual(c, b, a));
1193   CHECK(Bignum::PlusLess(a, b, c));
1194   CHECK(!Bignum::PlusLess(c, b, a));
1195 
1196   AssignHexString(&a, "1234567890ABCDEF12345");
1197   b.AssignUInt16(1);
1198   AssignHexString(&c, "1234567890ABCDEF12345");
1199   CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));
1200 
1201   AssignHexString(&a, "1234567890ABCDEF12344");
1202   b.AssignUInt16(1);
1203   AssignHexString(&c, "1234567890ABCDEF12345");
1204   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1205 
1206   AssignHexString(&a, "1234567890");
1207   a.ShiftLeft(11*4);
1208   AssignHexString(&b, "ABCDEF12345");
1209   AssignHexString(&c, "1234567890ABCDEF12345");
1210   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1211 
1212   AssignHexString(&a, "1234567890");
1213   a.ShiftLeft(11*4);
1214   AssignHexString(&b, "ABCDEF12344");
1215   AssignHexString(&c, "1234567890ABCDEF12345");
1216   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1217 
1218   AssignHexString(&a, "1234567890");
1219   a.ShiftLeft(11*4);
1220   AssignHexString(&b, "ABCDEF12346");
1221   AssignHexString(&c, "1234567890ABCDEF12345");
1222   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1223 
1224   AssignHexString(&a, "1234567891");
1225   a.ShiftLeft(11*4);
1226   AssignHexString(&b, "ABCDEF12345");
1227   AssignHexString(&c, "1234567890ABCDEF12345");
1228   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1229 
1230   AssignHexString(&a, "1234567889");
1231   a.ShiftLeft(11*4);
1232   AssignHexString(&b, "ABCDEF12345");
1233   AssignHexString(&c, "1234567890ABCDEF12345");
1234   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1235 
1236   AssignHexString(&a, "1234567890");
1237   a.ShiftLeft(11*4 + 32);
1238   AssignHexString(&b, "ABCDEF12345");
1239   b.ShiftLeft(32);
1240   AssignHexString(&c, "1234567890ABCDEF12345");
1241   c.ShiftLeft(32);
1242   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1243 
1244   AssignHexString(&a, "1234567890");
1245   a.ShiftLeft(11*4 + 32);
1246   AssignHexString(&b, "ABCDEF12344");
1247   b.ShiftLeft(32);
1248   AssignHexString(&c, "1234567890ABCDEF12345");
1249   c.ShiftLeft(32);
1250   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1251 
1252   AssignHexString(&a, "1234567890");
1253   a.ShiftLeft(11*4 + 32);
1254   AssignHexString(&b, "ABCDEF12346");
1255   b.ShiftLeft(32);
1256   AssignHexString(&c, "1234567890ABCDEF12345");
1257   c.ShiftLeft(32);
1258   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1259 
1260   AssignHexString(&a, "1234567891");
1261   a.ShiftLeft(11*4 + 32);
1262   AssignHexString(&b, "ABCDEF12345");
1263   b.ShiftLeft(32);
1264   AssignHexString(&c, "1234567890ABCDEF12345");
1265   c.ShiftLeft(32);
1266   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1267 
1268   AssignHexString(&a, "1234567889");
1269   a.ShiftLeft(11*4 + 32);
1270   AssignHexString(&b, "ABCDEF12345");
1271   b.ShiftLeft(32);
1272   AssignHexString(&c, "1234567890ABCDEF12345");
1273   c.ShiftLeft(32);
1274   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1275 
1276   AssignHexString(&a, "1234567890");
1277   a.ShiftLeft(11*4 + 32);
1278   AssignHexString(&b, "ABCDEF12345");
1279   b.ShiftLeft(32);
1280   AssignHexString(&c, "1234567890ABCDEF1234500000000");
1281   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1282 
1283   AssignHexString(&a, "1234567890");
1284   a.ShiftLeft(11*4 + 32);
1285   AssignHexString(&b, "ABCDEF12344");
1286   b.ShiftLeft(32);
1287   AssignHexString(&c, "1234567890ABCDEF1234500000000");
1288   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1289 
1290   AssignHexString(&a, "1234567890");
1291   a.ShiftLeft(11*4 + 32);
1292   AssignHexString(&b, "ABCDEF12346");
1293   b.ShiftLeft(32);
1294   AssignHexString(&c, "1234567890ABCDEF1234500000000");
1295   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1296 
1297   AssignHexString(&a, "1234567891");
1298   a.ShiftLeft(11*4 + 32);
1299   AssignHexString(&b, "ABCDEF12345");
1300   b.ShiftLeft(32);
1301   AssignHexString(&c, "1234567890ABCDEF1234500000000");
1302   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1303 
1304   AssignHexString(&a, "1234567889");
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, "1234567890");
1312   a.ShiftLeft(11*4 + 32);
1313   AssignHexString(&b, "ABCDEF12345");
1314   AssignHexString(&c, "123456789000000000ABCDEF12345");
1315   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1316 
1317   AssignHexString(&a, "1234567890");
1318   a.ShiftLeft(11*4 + 32);
1319   AssignHexString(&b, "ABCDEF12346");
1320   AssignHexString(&c, "123456789000000000ABCDEF12345");
1321   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1322 
1323   AssignHexString(&a, "1234567890");
1324   a.ShiftLeft(11*4 + 32);
1325   AssignHexString(&b, "ABCDEF12344");
1326   AssignHexString(&c, "123456789000000000ABCDEF12345");
1327   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1328 
1329   AssignHexString(&a, "1234567890");
1330   a.ShiftLeft(11*4 + 32);
1331   AssignHexString(&b, "ABCDEF12345");
1332   b.ShiftLeft(16);
1333   AssignHexString(&c, "12345678900000ABCDEF123450000");
1334   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1335 
1336   AssignHexString(&a, "1234567890");
1337   a.ShiftLeft(11*4 + 32);
1338   AssignHexString(&b, "ABCDEF12344");
1339   b.ShiftLeft(16);
1340   AssignHexString(&c, "12345678900000ABCDEF123450000");
1341   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1342 
1343   AssignHexString(&a, "1234567890");
1344   a.ShiftLeft(11*4 + 32);
1345   AssignHexString(&b, "ABCDEF12345");
1346   b.ShiftLeft(16);
1347   AssignHexString(&c, "12345678900000ABCDEF123450001");
1348   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1349 
1350   AssignHexString(&a, "1234567890");
1351   a.ShiftLeft(11*4 + 32);
1352   AssignHexString(&b, "ABCDEF12346");
1353   b.ShiftLeft(16);
1354   AssignHexString(&c, "12345678900000ABCDEF123450000");
1355   CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));
1356 }
1357 
1358 
TEST(Square)1359 TEST(Square) {
1360   Bignum bignum;
1361   char buffer[kBufferSize];
1362 
1363   bignum.AssignUInt16(1);
1364   bignum.Square();
1365   CHECK(bignum.ToHexString(buffer, kBufferSize));
1366   CHECK_EQ("1", buffer);
1367 
1368   bignum.AssignUInt16(2);
1369   bignum.Square();
1370   CHECK(bignum.ToHexString(buffer, kBufferSize));
1371   CHECK_EQ("4", buffer);
1372 
1373   bignum.AssignUInt16(10);
1374   bignum.Square();
1375   CHECK(bignum.ToHexString(buffer, kBufferSize));
1376   CHECK_EQ("64", buffer);
1377 
1378   AssignHexString(&bignum, "FFFFFFF");
1379   bignum.Square();
1380   CHECK(bignum.ToHexString(buffer, kBufferSize));
1381   CHECK_EQ("FFFFFFE0000001", buffer);
1382 
1383   AssignHexString(&bignum, "FFFFFFFFFFFFFF");
1384   bignum.Square();
1385   CHECK(bignum.ToHexString(buffer, kBufferSize));
1386   CHECK_EQ("FFFFFFFFFFFFFE00000000000001", buffer);
1387 }
1388 
1389 
TEST(AssignPowerUInt16)1390 TEST(AssignPowerUInt16) {
1391   Bignum bignum;
1392   char buffer[kBufferSize];
1393 
1394   bignum.AssignPowerUInt16(1, 0);
1395   CHECK(bignum.ToHexString(buffer, kBufferSize));
1396   CHECK_EQ("1", buffer);
1397 
1398   bignum.AssignPowerUInt16(1, 1);
1399   CHECK(bignum.ToHexString(buffer, kBufferSize));
1400   CHECK_EQ("1", buffer);
1401 
1402   bignum.AssignPowerUInt16(1, 2);
1403   CHECK(bignum.ToHexString(buffer, kBufferSize));
1404   CHECK_EQ("1", buffer);
1405 
1406   bignum.AssignPowerUInt16(2, 0);
1407   CHECK(bignum.ToHexString(buffer, kBufferSize));
1408   CHECK_EQ("1", buffer);
1409 
1410   bignum.AssignPowerUInt16(2, 1);
1411   CHECK(bignum.ToHexString(buffer, kBufferSize));
1412   CHECK_EQ("2", buffer);
1413 
1414   bignum.AssignPowerUInt16(2, 2);
1415   CHECK(bignum.ToHexString(buffer, kBufferSize));
1416   CHECK_EQ("4", buffer);
1417 
1418   bignum.AssignPowerUInt16(16, 1);
1419   CHECK(bignum.ToHexString(buffer, kBufferSize));
1420   CHECK_EQ("10", buffer);
1421 
1422   bignum.AssignPowerUInt16(16, 2);
1423   CHECK(bignum.ToHexString(buffer, kBufferSize));
1424   CHECK_EQ("100", buffer);
1425 
1426   bignum.AssignPowerUInt16(16, 5);
1427   CHECK(bignum.ToHexString(buffer, kBufferSize));
1428   CHECK_EQ("100000", buffer);
1429 
1430   bignum.AssignPowerUInt16(16, 8);
1431   CHECK(bignum.ToHexString(buffer, kBufferSize));
1432   CHECK_EQ("100000000", buffer);
1433 
1434   bignum.AssignPowerUInt16(16, 16);
1435   CHECK(bignum.ToHexString(buffer, kBufferSize));
1436   CHECK_EQ("10000000000000000", buffer);
1437 
1438   bignum.AssignPowerUInt16(16, 30);
1439   CHECK(bignum.ToHexString(buffer, kBufferSize));
1440   CHECK_EQ("1000000000000000000000000000000", buffer);
1441 
1442   bignum.AssignPowerUInt16(10, 0);
1443   CHECK(bignum.ToHexString(buffer, kBufferSize));
1444   CHECK_EQ("1", buffer);
1445 
1446   bignum.AssignPowerUInt16(10, 1);
1447   CHECK(bignum.ToHexString(buffer, kBufferSize));
1448   CHECK_EQ("A", buffer);
1449 
1450   bignum.AssignPowerUInt16(10, 2);
1451   CHECK(bignum.ToHexString(buffer, kBufferSize));
1452   CHECK_EQ("64", buffer);
1453 
1454   bignum.AssignPowerUInt16(10, 5);
1455   CHECK(bignum.ToHexString(buffer, kBufferSize));
1456   CHECK_EQ("186A0", buffer);
1457 
1458   bignum.AssignPowerUInt16(10, 8);
1459   CHECK(bignum.ToHexString(buffer, kBufferSize));
1460   CHECK_EQ("5F5E100", buffer);
1461 
1462   bignum.AssignPowerUInt16(10, 16);
1463   CHECK(bignum.ToHexString(buffer, kBufferSize));
1464   CHECK_EQ("2386F26FC10000", buffer);
1465 
1466   bignum.AssignPowerUInt16(10, 30);
1467   CHECK(bignum.ToHexString(buffer, kBufferSize));
1468   CHECK_EQ("C9F2C9CD04674EDEA40000000", buffer);
1469 
1470   bignum.AssignPowerUInt16(10, 31);
1471   CHECK(bignum.ToHexString(buffer, kBufferSize));
1472   CHECK_EQ("7E37BE2022C0914B2680000000", buffer);
1473 
1474   bignum.AssignPowerUInt16(2, 0);
1475   CHECK(bignum.ToHexString(buffer, kBufferSize));
1476   CHECK_EQ("1", buffer);
1477 
1478   bignum.AssignPowerUInt16(2, 100);
1479   CHECK(bignum.ToHexString(buffer, kBufferSize));
1480   CHECK_EQ("10000000000000000000000000", buffer);
1481 
1482   bignum.AssignPowerUInt16(17, 0);
1483   CHECK(bignum.ToHexString(buffer, kBufferSize));
1484   CHECK_EQ("1", buffer);
1485 
1486   bignum.AssignPowerUInt16(17, 99);
1487   CHECK(bignum.ToHexString(buffer, kBufferSize));
1488   CHECK_EQ("1942BB9853FAD924A3D4DD92B89B940E0207BEF05DB9C26BC1B757"
1489            "80BE0C5A2C2990E02A681224F34ED68558CE4C6E33760931",
1490            buffer);
1491 
1492   bignum.AssignPowerUInt16(0xFFFF, 99);
1493   CHECK(bignum.ToHexString(buffer, kBufferSize));
1494   CHECK_EQ("FF9D12F09B886C54E77E7439C7D2DED2D34F669654C0C2B6B8C288250"
1495            "5A2211D0E3DC9A61831349EAE674B11D56E3049D7BD79DAAD6C9FA2BA"
1496            "528E3A794299F2EE9146A324DAFE3E88967A0358233B543E233E575B9"
1497            "DD4E3AA7942146426C328FF55BFD5C45E0901B1629260AF9AE2F310C5"
1498            "50959FAF305C30116D537D80CF6EBDBC15C5694062AF1AC3D956D0A41"
1499            "B7E1B79FF11E21D83387A1CE1F5882B31E4B5D8DE415BDBE6854466DF"
1500            "343362267A7E8833119D31D02E18DB5B0E8F6A64B0ED0D0062FFFF",
1501            buffer);
1502 }
1503