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 
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, strcmp("0", buffer));
58   bignum.AssignUInt16(0xA);
59   CHECK(bignum.ToHexString(buffer, kBufferSize));
60   CHECK_EQ(0, strcmp("A", buffer));
61   bignum.AssignUInt16(0x20);
62   CHECK(bignum.ToHexString(buffer, kBufferSize));
63   CHECK_EQ(0, strcmp("20", buffer));
64 
65 
66   bignum.AssignUInt64(0);
67   CHECK(bignum.ToHexString(buffer, kBufferSize));
68   CHECK_EQ(0, strcmp("0", buffer));
69   bignum.AssignUInt64(0xA);
70   CHECK(bignum.ToHexString(buffer, kBufferSize));
71   CHECK_EQ(0, strcmp("A", buffer));
72   bignum.AssignUInt64(0x20);
73   CHECK(bignum.ToHexString(buffer, kBufferSize));
74   CHECK_EQ(0, strcmp("20", buffer));
75   bignum.AssignUInt64(0x100);
76   CHECK(bignum.ToHexString(buffer, kBufferSize));
77   CHECK_EQ(0, strcmp("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(0, strcmp("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(0, strcmp("FFFFFFFFFFFFFFFF", buffer));
88 
89   big = V8_2PART_UINT64_C(0x12345678, 9ABCDEF0);
90   bignum.AssignUInt64(big);
91   CHECK(bignum.ToHexString(buffer, kBufferSize));
92   CHECK_EQ(0, strcmp("123456789ABCDEF0", buffer));
93 
94   bignum2.AssignBignum(bignum);
95   CHECK(bignum2.ToHexString(buffer, kBufferSize));
96   CHECK_EQ(0, strcmp("123456789ABCDEF0", buffer));
97 
98   AssignDecimalString(&bignum, "0");
99   CHECK(bignum.ToHexString(buffer, kBufferSize));
100   CHECK_EQ(0, strcmp("0", buffer));
101 
102   AssignDecimalString(&bignum, "1");
103   CHECK(bignum.ToHexString(buffer, kBufferSize));
104   CHECK_EQ(0, strcmp("1", buffer));
105 
106   AssignDecimalString(&bignum, "1234567890");
107   CHECK(bignum.ToHexString(buffer, kBufferSize));
108   CHECK_EQ(0, strcmp("499602D2", buffer));
109 
110   AssignHexString(&bignum, "0");
111   CHECK(bignum.ToHexString(buffer, kBufferSize));
112   CHECK_EQ(0, strcmp("0", buffer));
113 
114   AssignHexString(&bignum, "123456789ABCDEF0");
115   CHECK(bignum.ToHexString(buffer, kBufferSize));
116   CHECK_EQ(0, strcmp("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, strcmp("0", buffer));
127 
128   AssignHexString(&bignum, "1");
129   bignum.ShiftLeft(1);
130   CHECK(bignum.ToHexString(buffer, kBufferSize));
131   CHECK_EQ(0, strcmp("2", buffer));
132 
133   AssignHexString(&bignum, "1");
134   bignum.ShiftLeft(4);
135   CHECK(bignum.ToHexString(buffer, kBufferSize));
136   CHECK_EQ(0, strcmp("10", buffer));
137 
138   AssignHexString(&bignum, "1");
139   bignum.ShiftLeft(32);
140   CHECK(bignum.ToHexString(buffer, kBufferSize));
141   CHECK_EQ(0, strcmp("100000000", buffer));
142 
143   AssignHexString(&bignum, "1");
144   bignum.ShiftLeft(64);
145   CHECK(bignum.ToHexString(buffer, kBufferSize));
146   CHECK_EQ(0, strcmp("10000000000000000", buffer));
147 
148   AssignHexString(&bignum, "123456789ABCDEF");
149   bignum.ShiftLeft(64);
150   CHECK(bignum.ToHexString(buffer, kBufferSize));
151   CHECK_EQ(0, strcmp("123456789ABCDEF0000000000000000", buffer));
152   bignum.ShiftLeft(1);
153   CHECK(bignum.ToHexString(buffer, kBufferSize));
154   CHECK_EQ(0, strcmp("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(0, strcmp("A", buffer));
165 
166   AssignHexString(&bignum, "1");
167   bignum.AddUInt64(0xA);
168   CHECK(bignum.ToHexString(buffer, kBufferSize));
169   CHECK_EQ(0, strcmp("B", buffer));
170 
171   AssignHexString(&bignum, "1");
172   bignum.AddUInt64(0x100);
173   CHECK(bignum.ToHexString(buffer, kBufferSize));
174   CHECK_EQ(0, strcmp("101", buffer));
175 
176   AssignHexString(&bignum, "1");
177   bignum.AddUInt64(0xFFFF);
178   CHECK(bignum.ToHexString(buffer, kBufferSize));
179   CHECK_EQ(0, strcmp("10000", buffer));
180 
181   AssignHexString(&bignum, "FFFFFFF");
182   bignum.AddUInt64(0x1);
183   CHECK(bignum.ToHexString(buffer, kBufferSize));
184   CHECK_EQ(0, strcmp("10000000", buffer));
185 
186   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
187   bignum.AddUInt64(0xFFFF);
188   CHECK(bignum.ToHexString(buffer, kBufferSize));
189   CHECK_EQ(0, strcmp("1000000000000000000000000000000000000000FFFF", buffer));
190 
191   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
192   bignum.AddUInt64(0x1);
193   CHECK(bignum.ToHexString(buffer, kBufferSize));
194   CHECK_EQ(0, strcmp("100000000000000000000000000000000000000000000", buffer));
195 
196   bignum.AssignUInt16(0x1);
197   bignum.ShiftLeft(100);
198   bignum.AddUInt64(1);
199   CHECK(bignum.ToHexString(buffer, kBufferSize));
200   CHECK_EQ(0, strcmp("10000000000000000000000001", buffer));
201 
202   bignum.AssignUInt16(0x1);
203   bignum.ShiftLeft(100);
204   bignum.AddUInt64(0xFFFF);
205   CHECK(bignum.ToHexString(buffer, kBufferSize));
206   CHECK_EQ(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("1", buffer));
267 
268   AssignHexString(&bignum, "1");
269   bignum.AddBignum(other);
270   CHECK(bignum.ToHexString(buffer, kBufferSize));
271   CHECK_EQ(0, strcmp("2", buffer));
272 
273   AssignHexString(&bignum, "FFFFFFF");
274   bignum.AddBignum(other);
275   CHECK(bignum.ToHexString(buffer, kBufferSize));
276   CHECK_EQ(0, strcmp("10000000", buffer));
277 
278   AssignHexString(&bignum, "FFFFFFFFFFFFFF");
279   bignum.AddBignum(other);
280   CHECK(bignum.ToHexString(buffer, kBufferSize));
281   CHECK_EQ(0, strcmp("100000000000000", buffer));
282 
283   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
284   bignum.AddBignum(other);
285   CHECK(bignum.ToHexString(buffer, kBufferSize));
286   CHECK_EQ(0, strcmp("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(0, strcmp("1000000000001", buffer));
294 
295   AssignHexString(&bignum, "FFFFFFF");
296   bignum.AddBignum(other);
297   CHECK(bignum.ToHexString(buffer, kBufferSize));
298   CHECK_EQ(0, strcmp("100000FFFFFFF", buffer));
299 
300   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
301   bignum.AddBignum(other);
302   CHECK(bignum.ToHexString(buffer, kBufferSize));
303   CHECK_EQ(0, strcmp("10000000000000000000000000000001000000000000", buffer));
304 
305   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
306   bignum.AddBignum(other);
307   CHECK(bignum.ToHexString(buffer, kBufferSize));
308   CHECK_EQ(0, strcmp("1000000000000000000000000000000FFFFFFFFFFFF", buffer));
309 
310   bignum.AssignUInt16(0x1);
311   bignum.ShiftLeft(100);
312   bignum.AddBignum(other);
313   CHECK(bignum.ToHexString(buffer, kBufferSize));
314   CHECK_EQ(0, strcmp("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(0, strcmp("10000000000000000000000000001", buffer));
323 
324   AssignHexString(&bignum, "FFFFFFF");
325   bignum.AddBignum(other);
326   CHECK(bignum.ToHexString(buffer, kBufferSize));
327   CHECK_EQ(0, strcmp("1000000000000000000000FFFFFFF", buffer));
328 
329   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
330   bignum.AddBignum(other);
331   CHECK(bignum.ToHexString(buffer, kBufferSize));
332   CHECK_EQ(0, strcmp("10000000000000010000000000000000000000000000", buffer));
333 
334   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
335   bignum.AddBignum(other);
336   CHECK(bignum.ToHexString(buffer, kBufferSize));
337   CHECK_EQ(0, strcmp("100000000000000FFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer));
338 
339   bignum.AssignUInt16(0x1);
340   bignum.ShiftLeft(100);
341   bignum.AddBignum(other);
342   CHECK(bignum.ToHexString(buffer, kBufferSize));
343   CHECK_EQ(0, strcmp("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(0, strcmp("1", buffer));
357 
358   AssignHexString(&bignum, "2");
359   AssignHexString(&other, "0");
360   bignum.SubtractBignum(other);
361   CHECK(bignum.ToHexString(buffer, kBufferSize));
362   CHECK_EQ(0, strcmp("2", buffer));
363 
364   AssignHexString(&bignum, "10000000");
365   AssignHexString(&other, "1");
366   bignum.SubtractBignum(other);
367   CHECK(bignum.ToHexString(buffer, kBufferSize));
368   CHECK_EQ(0, strcmp("FFFFFFF", buffer));
369 
370   AssignHexString(&bignum, "100000000000000");
371   AssignHexString(&other, "1");
372   bignum.SubtractBignum(other);
373   CHECK(bignum.ToHexString(buffer, kBufferSize));
374   CHECK_EQ(0, strcmp("FFFFFFFFFFFFFF", buffer));
375 
376   AssignHexString(&bignum, "10000000000000000000000000000000000000000001");
377   AssignHexString(&other, "1");
378   bignum.SubtractBignum(other);
379   CHECK(bignum.ToHexString(buffer, kBufferSize));
380   CHECK_EQ(0, strcmp("10000000000000000000000000000000000000000000", buffer));
381 
382   AssignHexString(&bignum, "1000000000001");
383   AssignHexString(&other, "1000000000000");
384   bignum.SubtractBignum(other);
385   CHECK(bignum.ToHexString(buffer, kBufferSize));
386   CHECK_EQ(0, strcmp("1", buffer));
387 
388   AssignHexString(&bignum, "100000FFFFFFF");
389   AssignHexString(&other, "1000000000000");
390   bignum.SubtractBignum(other);
391   CHECK(bignum.ToHexString(buffer, kBufferSize));
392   CHECK_EQ(0, strcmp("FFFFFFF", buffer));
393 
394   AssignHexString(&bignum, "10000000000000000000000000000001000000000000");
395   AssignHexString(&other, "1000000000000");
396   bignum.SubtractBignum(other);
397   CHECK(bignum.ToHexString(buffer, kBufferSize));
398   CHECK_EQ(0, strcmp("10000000000000000000000000000000000000000000", buffer));
399 
400   AssignHexString(&bignum, "1000000000000000000000000000000FFFFFFFFFFFF");
401   AssignHexString(&other, "1000000000000");
402   bignum.SubtractBignum(other);
403   CHECK(bignum.ToHexString(buffer, kBufferSize));
404   CHECK_EQ(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("FFFFFFEFFFFFF800000000", buffer));
434 
435   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
436   bignum.SubtractBignum(other);
437   CHECK(bignum.ToHexString(buffer, kBufferSize));
438   CHECK_EQ(0, strcmp("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF800000000", buffer));
439 
440   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
441   bignum.SubtractBignum(other);
442   CHECK(bignum.ToHexString(buffer, kBufferSize));
443   CHECK_EQ(0, strcmp("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, strcmp("0", buffer));
455 
456   AssignHexString(&bignum, "2");
457   bignum.MultiplyByUInt32(0x5);
458   CHECK(bignum.ToHexString(buffer, kBufferSize));
459   CHECK_EQ(0, strcmp("A", buffer));
460 
461   AssignHexString(&bignum, "10000000");
462   bignum.MultiplyByUInt32(0x9);
463   CHECK(bignum.ToHexString(buffer, kBufferSize));
464   CHECK_EQ(0, strcmp("90000000", buffer));
465 
466   AssignHexString(&bignum, "100000000000000");
467   bignum.MultiplyByUInt32(0xFFFF);
468   CHECK(bignum.ToHexString(buffer, kBufferSize));
469   CHECK_EQ(0, strcmp("FFFF00000000000000", buffer));
470 
471   AssignHexString(&bignum, "100000000000000");
472   bignum.MultiplyByUInt32(0xFFFFFFFF);
473   CHECK(bignum.ToHexString(buffer, kBufferSize));
474   CHECK_EQ(0, strcmp("FFFFFFFF00000000000000", buffer));
475 
476   AssignHexString(&bignum, "1234567ABCD");
477   bignum.MultiplyByUInt32(0xFFF);
478   CHECK(bignum.ToHexString(buffer, kBufferSize));
479   CHECK_EQ(0, strcmp("12333335552433", buffer));
480 
481   AssignHexString(&bignum, "1234567ABCD");
482   bignum.MultiplyByUInt32(0xFFFFFFF);
483   CHECK(bignum.ToHexString(buffer, kBufferSize));
484   CHECK_EQ(0, strcmp("12345679998A985433", buffer));
485 
486   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
487   bignum.MultiplyByUInt32(0x2);
488   CHECK(bignum.ToHexString(buffer, kBufferSize));
489   CHECK_EQ(0, strcmp("1FFFFFFFFFFFFFFFE", buffer));
490 
491   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
492   bignum.MultiplyByUInt32(0x4);
493   CHECK(bignum.ToHexString(buffer, kBufferSize));
494   CHECK_EQ(0, strcmp("3FFFFFFFFFFFFFFFC", buffer));
495 
496   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
497   bignum.MultiplyByUInt32(0xF);
498   CHECK(bignum.ToHexString(buffer, kBufferSize));
499   CHECK_EQ(0, strcmp("EFFFFFFFFFFFFFFF1", buffer));
500 
501   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
502   bignum.MultiplyByUInt32(0xFFFFFF);
503   CHECK(bignum.ToHexString(buffer, kBufferSize));
504   CHECK_EQ(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("FFFEFFFF00010000000000000000000000000", buffer));
540 
541   AssignDecimalString(&bignum, "15611230384529777");
542   bignum.MultiplyByUInt32(10000000);
543   CHECK(bignum.ToHexString(buffer, kBufferSize));
544   CHECK_EQ(0, strcmp("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, strcmp("0", buffer));
556 
557   AssignHexString(&bignum, "2");
558   bignum.MultiplyByUInt64(0x5);
559   CHECK(bignum.ToHexString(buffer, kBufferSize));
560   CHECK_EQ(0, strcmp("A", buffer));
561 
562   AssignHexString(&bignum, "10000000");
563   bignum.MultiplyByUInt64(0x9);
564   CHECK(bignum.ToHexString(buffer, kBufferSize));
565   CHECK_EQ(0, strcmp("90000000", buffer));
566 
567   AssignHexString(&bignum, "100000000000000");
568   bignum.MultiplyByUInt64(0xFFFF);
569   CHECK(bignum.ToHexString(buffer, kBufferSize));
570   CHECK_EQ(0, strcmp("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(0, strcmp("FFFFFFFFFFFFFFFF00000000000000", buffer));
576 
577   AssignHexString(&bignum, "1234567ABCD");
578   bignum.MultiplyByUInt64(0xFFF);
579   CHECK(bignum.ToHexString(buffer, kBufferSize));
580   CHECK_EQ(0, strcmp("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(0, strcmp("1234567ABCBDCBA985433", buffer));
586 
587   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
588   bignum.MultiplyByUInt64(0x2);
589   CHECK(bignum.ToHexString(buffer, kBufferSize));
590   CHECK_EQ(0, strcmp("1FFFFFFFFFFFFFFFE", buffer));
591 
592   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
593   bignum.MultiplyByUInt64(0x4);
594   CHECK(bignum.ToHexString(buffer, kBufferSize));
595   CHECK_EQ(0, strcmp("3FFFFFFFFFFFFFFFC", buffer));
596 
597   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
598   bignum.MultiplyByUInt64(0xF);
599   CHECK(bignum.ToHexString(buffer, kBufferSize));
600   CHECK_EQ(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("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(0, strcmp("3034", buffer));
657 
658   AssignDecimalString(&bignum, "1234");
659   bignum.MultiplyByPowerOfTen(2);
660   CHECK(bignum.ToHexString(buffer, kBufferSize));
661   CHECK_EQ(0, strcmp("1E208", buffer));
662 
663   AssignDecimalString(&bignum, "1234");
664   bignum.MultiplyByPowerOfTen(3);
665   CHECK(bignum.ToHexString(buffer, kBufferSize));
666   CHECK_EQ(0, strcmp("12D450", buffer));
667 
668   AssignDecimalString(&bignum, "1234");
669   bignum.MultiplyByPowerOfTen(4);
670   CHECK(bignum.ToHexString(buffer, kBufferSize));
671   CHECK_EQ(0, strcmp("BC4B20", buffer));
672 
673   AssignDecimalString(&bignum, "1234");
674   bignum.MultiplyByPowerOfTen(5);
675   CHECK(bignum.ToHexString(buffer, kBufferSize));
676   CHECK_EQ(0, strcmp("75AEF40", buffer));
677 
678   AssignDecimalString(&bignum, "1234");
679   bignum.MultiplyByPowerOfTen(6);
680   CHECK(bignum.ToHexString(buffer, kBufferSize));
681   CHECK_EQ(0, strcmp("498D5880", buffer));
682 
683   AssignDecimalString(&bignum, "1234");
684   bignum.MultiplyByPowerOfTen(7);
685   CHECK(bignum.ToHexString(buffer, kBufferSize));
686   CHECK_EQ(0, strcmp("2DF857500", buffer));
687 
688   AssignDecimalString(&bignum, "1234");
689   bignum.MultiplyByPowerOfTen(8);
690   CHECK(bignum.ToHexString(buffer, kBufferSize));
691   CHECK_EQ(0, strcmp("1CBB369200", buffer));
692 
693   AssignDecimalString(&bignum, "1234");
694   bignum.MultiplyByPowerOfTen(9);
695   CHECK(bignum.ToHexString(buffer, kBufferSize));
696   CHECK_EQ(0, strcmp("11F5021B400", buffer));
697 
698   AssignDecimalString(&bignum, "1234");
699   bignum.MultiplyByPowerOfTen(10);
700   CHECK(bignum.ToHexString(buffer, kBufferSize));
701   CHECK_EQ(0, strcmp("B3921510800", buffer));
702 
703   AssignDecimalString(&bignum, "1234");
704   bignum.MultiplyByPowerOfTen(11);
705   CHECK(bignum.ToHexString(buffer, kBufferSize));
706   CHECK_EQ(0, strcmp("703B4D2A5000", buffer));
707 
708   AssignDecimalString(&bignum, "1234");
709   bignum.MultiplyByPowerOfTen(12);
710   CHECK(bignum.ToHexString(buffer, kBufferSize));
711   CHECK_EQ(0, strcmp("4625103A72000", buffer));
712 
713   AssignDecimalString(&bignum, "1234");
714   bignum.MultiplyByPowerOfTen(13);
715   CHECK(bignum.ToHexString(buffer, kBufferSize));
716   CHECK_EQ(0, strcmp("2BD72A24874000", buffer));
717 
718   AssignDecimalString(&bignum, "1234");
719   bignum.MultiplyByPowerOfTen(14);
720   CHECK(bignum.ToHexString(buffer, kBufferSize));
721   CHECK_EQ(0, strcmp("1B667A56D488000", buffer));
722 
723   AssignDecimalString(&bignum, "1234");
724   bignum.MultiplyByPowerOfTen(15);
725   CHECK(bignum.ToHexString(buffer, kBufferSize));
726   CHECK_EQ(0, strcmp("11200C7644D50000", buffer));
727 
728   AssignDecimalString(&bignum, "1234");
729   bignum.MultiplyByPowerOfTen(16);
730   CHECK(bignum.ToHexString(buffer, kBufferSize));
731   CHECK_EQ(0, strcmp("AB407C9EB0520000", buffer));
732 
733   AssignDecimalString(&bignum, "1234");
734   bignum.MultiplyByPowerOfTen(17);
735   CHECK(bignum.ToHexString(buffer, kBufferSize));
736   CHECK_EQ(0, strcmp("6B084DE32E3340000", buffer));
737 
738   AssignDecimalString(&bignum, "1234");
739   bignum.MultiplyByPowerOfTen(18);
740   CHECK(bignum.ToHexString(buffer, kBufferSize));
741   CHECK_EQ(0, strcmp("42E530ADFCE0080000", buffer));
742 
743   AssignDecimalString(&bignum, "1234");
744   bignum.MultiplyByPowerOfTen(19);
745   CHECK(bignum.ToHexString(buffer, kBufferSize));
746   CHECK_EQ(0, strcmp("29CF3E6CBE0C0500000", buffer));
747 
748   AssignDecimalString(&bignum, "1234");
749   bignum.MultiplyByPowerOfTen(20);
750   CHECK(bignum.ToHexString(buffer, kBufferSize));
751   CHECK_EQ(0, strcmp("1A218703F6C783200000", buffer));
752 
753   AssignDecimalString(&bignum, "1234");
754   bignum.MultiplyByPowerOfTen(21);
755   CHECK(bignum.ToHexString(buffer, kBufferSize));
756   CHECK_EQ(0, strcmp("1054F4627A3CB1F400000", buffer));
757 
758   AssignDecimalString(&bignum, "1234");
759   bignum.MultiplyByPowerOfTen(22);
760   CHECK(bignum.ToHexString(buffer, kBufferSize));
761   CHECK_EQ(0, strcmp("A3518BD8C65EF38800000", buffer));
762 
763   AssignDecimalString(&bignum, "1234");
764   bignum.MultiplyByPowerOfTen(23);
765   CHECK(bignum.ToHexString(buffer, kBufferSize));
766   CHECK_EQ(0, strcmp("6612F7677BFB5835000000", buffer));
767 
768   AssignDecimalString(&bignum, "1234");
769   bignum.MultiplyByPowerOfTen(24);
770   CHECK(bignum.ToHexString(buffer, kBufferSize));
771   CHECK_EQ(0, strcmp("3FCBDAA0AD7D17212000000", buffer));
772 
773   AssignDecimalString(&bignum, "1234");
774   bignum.MultiplyByPowerOfTen(25);
775   CHECK(bignum.ToHexString(buffer, kBufferSize));
776   CHECK_EQ(0, strcmp("27DF68A46C6E2E74B4000000", buffer));
777 
778   AssignDecimalString(&bignum, "1234");
779   bignum.MultiplyByPowerOfTen(26);
780   CHECK(bignum.ToHexString(buffer, kBufferSize));
781   CHECK_EQ(0, strcmp("18EBA166C3C4DD08F08000000", buffer));
782 
783   AssignDecimalString(&bignum, "1234");
784   bignum.MultiplyByPowerOfTen(27);
785   CHECK(bignum.ToHexString(buffer, kBufferSize));
786   CHECK_EQ(0, strcmp("F9344E03A5B0A259650000000", buffer));
787 
788   AssignDecimalString(&bignum, "1234");
789   bignum.MultiplyByPowerOfTen(28);
790   CHECK(bignum.ToHexString(buffer, kBufferSize));
791   CHECK_EQ(0, strcmp("9BC0B0C2478E6577DF20000000", buffer));
792 
793   AssignDecimalString(&bignum, "1234");
794   bignum.MultiplyByPowerOfTen(29);
795   CHECK(bignum.ToHexString(buffer, kBufferSize));
796   CHECK_EQ(0, strcmp("61586E796CB8FF6AEB740000000", buffer));
797 
798   AssignDecimalString(&bignum, "1234");
799   bignum.MultiplyByPowerOfTen(30);
800   CHECK(bignum.ToHexString(buffer, kBufferSize));
801   CHECK_EQ(0, strcmp("3CD7450BE3F39FA2D32880000000", buffer));
802 
803   AssignDecimalString(&bignum, "1234");
804   bignum.MultiplyByPowerOfTen(31);
805   CHECK(bignum.ToHexString(buffer, kBufferSize));
806   CHECK_EQ(0, strcmp("26068B276E7843C5C3F9500000000", buffer));
807 
808   AssignDecimalString(&bignum, "1234");
809   bignum.MultiplyByPowerOfTen(50);
810   CHECK(bignum.ToHexString(buffer, kBufferSize));
811   CHECK_EQ(0, strcmp("149D1B4CFED03B23AB5F4E1196EF45C08000000000000", buffer));
812 
813   AssignDecimalString(&bignum, "1234");
814   bignum.MultiplyByPowerOfTen(100);
815   CHECK(bignum.ToHexString(buffer, kBufferSize));
816   CHECK_EQ(0,
817            strcmp(
818                "5827249F27165024FBC47DFCA9359BF316332D1B91ACEECF471FBAB06D9B2"
819                "0000000000000000000000000",
820                buffer));
821 
822   AssignDecimalString(&bignum, "1234");
823   bignum.MultiplyByPowerOfTen(200);
824   CHECK(bignum.ToHexString(buffer, kBufferSize));
825   CHECK_EQ(0,
826            strcmp(
827                "64C1F5C06C3816AFBF8DAFD5A3D756365BB0FD020E6F084E759C1F7C99E4F"
828                "55B9ACC667CEC477EB958C2AEEB3C6C19BA35A1AD30B35C51EB72040920000"
829                "0000000000000000000000000000000000000000000000",
830                buffer));
831 
832   AssignDecimalString(&bignum, "1234");
833   bignum.MultiplyByPowerOfTen(500);
834   CHECK(bignum.ToHexString(buffer, kBufferSize));
835   CHECK_EQ(0,
836            strcmp(
837                "96741A625EB5D7C91039FEB5C5ACD6D9831EDA5B083D800E6019442C8C8223"
838                "3EAFB3501FE2058062221E15121334928880827DEE1EC337A8B26489F3A40A"
839                "CB440A2423734472D10BFCE886F41B3AF9F9503013D86D088929CA86EEB4D8"
840                "B9C831D0BD53327B994A0326227CFD0ECBF2EB48B02387AAE2D4CCCDF1F1A1"
841                "B8CC4F1FA2C56AD40D0E4DAA9C28CDBF0A549098EA13200000000000000000"
842                "00000000000000000000000000000000000000000000000000000000000000"
843                "0000000000000000000000000000000000000000000000",
844                buffer));
845 
846   AssignDecimalString(&bignum, "1234");
847   bignum.MultiplyByPowerOfTen(1000);
848   CHECK(bignum.ToHexString(buffer, kBufferSize));
849   CHECK_EQ(0,
850            strcmp(
851                "1258040F99B1CD1CC9819C676D413EA50E4A6A8F114BB0C65418C62D399B81"
852                "6361466CA8E095193E1EE97173553597C96673AF67FAFE27A66E7EF2E5EF2E"
853                "E3F5F5070CC17FE83BA53D40A66A666A02F9E00B0E11328D2224B8694C7372"
854                "F3D536A0AD1985911BD361496F268E8B23112500EAF9B88A9BC67B2AB04D38"
855                "7FEFACD00F5AF4F764F9ABC3ABCDE54612DE38CD90CB6647CA389EA0E86B16"
856                "BF7A1F34086E05ADBE00BD1673BE00FAC4B34AF1091E8AD50BA675E0381440"
857                "EA8E9D93E75D816BAB37C9844B1441C38FC65CF30ABB71B36433AF26DD97BD"
858                "ABBA96C03B4919B8F3515B92826B85462833380DC193D79F69D20DD6038C99"
859                "6114EF6C446F0BA28CC772ACBA58B81C04F8FFDE7B18C4E5A3ABC51E637FDF"
860                "6E37FDFF04C940919390F4FF92000000000000000000000000000000000000"
861                "00000000000000000000000000000000000000000000000000000000000000"
862                "00000000000000000000000000000000000000000000000000000000000000"
863                "00000000000000000000000000000000000000000000000000000000000000"
864                "0000000000000000000000000000",
865                buffer));
866 
867   Bignum bignum2;
868   AssignHexString(&bignum2, "3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
869                             "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
870                             "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
871                             "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
872                             "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
873                             "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
874                             "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
875                             "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
876                             "C667A10958EA6D2");
877   CHECK(bignum2.ToHexString(buffer, kBufferSize));
878   CHECK_EQ(0, strcmp(
879                   "3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
880                   "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
881                   "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
882                   "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
883                   "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
884                   "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
885                   "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
886                   "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
887                   "C667A10958EA6D2",
888                   buffer));
889 
890   bignum.AssignBignum(bignum2);
891   bignum.MultiplyByPowerOfTen(1);
892   CHECK(bignum.ToHexString(buffer, kBufferSize));
893   CHECK_EQ(0,
894            strcmp(
895                "2688A8F84FD1AB949930261C0986DB4DF931E85A8AD2FA8921284EE1C2BC51"
896                "E55915823BBA5789E7EC99E326EEE69F543ECE890929DED9AC79489884BE57"
897                "630AD569E121BB76ED8DAC8FB545A8AFDADF1F8860599AFC47A93B6346C191"
898                "7237F5BD36B73EB29371F4A4EE7A116CB5E8E5808D1BEA4D7F7E3716090C13"
899                "F29E5DDA53F0FD513362A2D20F6505314B9419DB967F8A8A89589FC43917C3"
900                "BB892062B17CBE421DB0D47E34ACCCE060D422CFF60DCBD0277EE038BD509C"
901                "7BC494D8D854F5B76696F927EA99BC00C4A5D7928434",
902                buffer));
903 
904   bignum.AssignBignum(bignum2);
905   bignum.MultiplyByPowerOfTen(2);
906   CHECK(bignum.ToHexString(buffer, kBufferSize));
907   CHECK_EQ(0,
908            strcmp(
909                "1815699B31E30B3CDFBE17D185F44910BBBF313896C3DC95B4B9314D19B5B32"
910                "F57AD71655476B630F3E02DF855502394A74115A5BA2B480BCBCD5F52F6F69D"
911                "E6C5622CB5152A54788BD9D14B896DE8CB73B53C3800DDACC9C51E0C38FAE76"
912                "2F9964232872F9C2738E7150C4AE3F1B18F70583172706FAEE26DC5A78C77A2"
913                "FAA874769E52C01DA5C3499F233ECF3C90293E0FB69695D763DAA3AEDA5535B"
914                "43DAEEDF6E9528E84CEE0EC000C3C8495C1F9C89F6218AF4C23765261CD5ADD"
915                "0787351992A01E5BB8F2A015807AE7A6BB92A08",
916                buffer));
917 
918   bignum.AssignBignum(bignum2);
919   bignum.MultiplyByPowerOfTen(5);
920   CHECK(bignum.ToHexString(buffer, kBufferSize));
921   CHECK_EQ(0,
922            strcmp(
923                "5E13A4863ADEE3E5C9FE8D0A73423D695D62D8450CED15A8C9F368952C6DC3"
924                "F0EE7D82F3D1EFB7AF38A3B3920D410AFCAD563C8F5F39116E141A3C5C14B3"
925                "58CD73077EA35AAD59F6E24AD98F10D5555ABBFBF33AC361EAF429FD5FBE94"
926                "17DA9EF2F2956011F9F93646AA38048A681D984ED88127073443247CCC167C"
927                "B354A32206EF5A733E73CF82D795A1AD598493211A6D613C39515E0E0F6304"
928                "DCD9C810F3518C7F6A7CB6C81E99E02FCC65E8FDB7B7AE97306CC16A8631CE"
929                "0A2AEF6568276BE4C176964A73C153FDE018E34CB4C2F40",
930                buffer));
931 
932   bignum.AssignBignum(bignum2);
933   bignum.MultiplyByPowerOfTen(10);
934   CHECK(bignum.ToHexString(buffer, kBufferSize));
935   CHECK_EQ(0,
936            strcmp(
937                "8F8CB8EB51945A7E815809F6121EF2F4E61EF3405CD9432CAD2709749EEAFD"
938                "1B81E843F14A3667A7BDCCC9E0BB795F63CDFDB62844AC7438976C885A0116"
939                "29607DA54F9C023CC366570B7637ED0F855D931752038A614922D0923E382C"
940                "B8E5F6C975672DB76E0DE471937BB9EDB11E28874F1C122D5E1EF38CECE9D0"
941                "0723056BCBD4F964192B76830634B1D322B7EB0062F3267E84F5C824343A77"
942                "4B7DCEE6DD464F01EBDC8C671BB18BB4EF4300A42474A6C77243F2A12B03BF"
943                "0443C38A1C0D2701EDB393135AE0DEC94211F9D4EB51F990800",
944                buffer));
945 
946   bignum.AssignBignum(bignum2);
947   bignum.MultiplyByPowerOfTen(50);
948   CHECK(bignum.ToHexString(buffer, kBufferSize));
949   CHECK_EQ(0,
950            strcmp(
951                "107A8BE345E24407372FC1DE442CBA696BC23C4FFD5B4BDFD9E5C39559815"
952                "86628CF8472D2D589F2FC2BAD6E0816EC72CBF85CCA663D8A1EC6C51076D8"
953                "2D247E6C26811B7EC4D4300FB1F91028DCB7B2C4E7A60C151161AA7E65E79"
954                "B40917B12B2B5FBE7745984D4E8EFA31F9AE6062427B068B144A9CB155873"
955                "E7C0C9F0115E5AC72DC5A73C4796DB970BF9205AB8C77A6996EB1B417F9D1"
956                "6232431E6313C392203601B9C22CC10DDA88DCC6D282605F8DB67044F2DFD"
957                "3695E7BA63877AE16701536AE6567C794D0BFE338DFBB42D924CF964BD2C0"
958                "F586E03A2FCD35A408000000000000",
959                buffer));
960 
961   bignum.AssignBignum(bignum2);
962   bignum.MultiplyByPowerOfTen(100);
963   CHECK(bignum.ToHexString(buffer, kBufferSize));
964   CHECK_EQ(0,
965            strcmp(
966                "46784A90ACD0ED3E7759CC585FB32D36EB6034A6F78D92604E3BAA5ED3D8B"
967                "6E60E854439BE448897FB4B7EA5A3D873AA0FCB3CFFD80D0530880E45F511"
968                "722A50CE7E058B5A6F5464DB7500E34984EE3202A9441F44FA1554C0CEA96"
969                "B438A36F25E7C9D56D71AE2CD313EC37534DA299AC0854FC48591A7CF3171"
970                "31265AA4AE62DE32344CE7BEEEF894AE686A2DAAFE5D6D9A10971FFD9C064"
971                "5079B209E1048F58B5192D41D84336AC4C8C489EEF00939CFC9D55C122036"
972                "01B9C22CC10DDA88DCC6D282605F8DB67044F2DFD3695E7BA3F67B96D3A32"
973                "E11FB5561B68744C4035B0800DC166D49D98E3FD1D5BB2000000000000000"
974                "0000000000",
975                buffer));
976 
977   bignum.AssignBignum(bignum2);
978   bignum.MultiplyByPowerOfTen(200);
979   CHECK(bignum.ToHexString(buffer, kBufferSize));
980   CHECK_EQ(0,
981            strcmp(
982                "508BD351221DF139D72D88CDC0416845A53EE2D0E6B98352509A9AC312F8C"
983                "6CB1A144889416201E0B6CE66EA3EBE259B5FD79ECFC1FD77963CE516CC7E"
984                "2FE73D4B5B710C19F6BCB092C7A2FD76286543B8DBD2C596DFF2C896720BA"
985                "DFF7BC9C366ACEA3A880AEC287C5E6207DF2739B5326FC19D773BD830B109"
986                "ED36C7086544BF8FDB9D4B73719C2B5BC2F571A5937EC46876CD428281F6B"
987                "F287E1E07F25C1B1D46BC37324FF657A8B2E0071DB83B86123CA34004F406"
988                "001082D7945E90C6E8C9A9FEC2B44BE0DDA46E9F52B152E4D1336D2FCFBC9"
989                "96E30CA0082256737365158FE36482AA7EB9DAF2AB128F10E7551A3CD5BE6"
990                "0A922F3A7D5EED38B634A7EC95BCF7021BA6820A292000000000000000000"
991                "00000000000000000000000000000000",
992                buffer));
993 
994   bignum.AssignBignum(bignum2);
995   bignum.MultiplyByPowerOfTen(500);
996   CHECK(bignum.ToHexString(buffer, kBufferSize));
997   CHECK_EQ(0,
998            strcmp(
999                "7845F900E475B5086885BAAAE67C8E85185ACFE4633727F82A4B06B5582AC"
1000                "BE933C53357DA0C98C20C5AC900C4D76A97247DF52B79F48F9E35840FB715"
1001                "D392CE303E22622B0CF82D9471B398457DD3196F639CEE8BBD2C146873841"
1002                "F0699E6C41F04FC7A54B48CEB995BEB6F50FE81DE9D87A8D7F849CC523553"
1003                "7B7BBBC1C7CAAFF6E9650BE03B308C6D31012AEF9580F70D3EE2083ADE126"
1004                "8940FA7D6308E239775DFD2F8C97FF7EBD525DAFA6512216F7047A62A93DC"
1005                "38A0165BDC67E250DCC96A0181DE935A70B38704DC71819F02FC5261FF7E1"
1006                "E5F11907678B0A3E519FF4C10A867B0C26CE02BE6960BA8621A87303C101C"
1007                "3F88798BB9F7739655946F8B5744E6B1EAF10B0C5621330F0079209033C69"
1008                "20DE2E2C8D324F0624463735D482BF291926C22A910F5B80FA25170B6B57D"
1009                "8D5928C7BCA3FE87461275F69BD5A1B83181DAAF43E05FC3C72C4E93111B6"
1010                "6205EBF49B28FEDFB7E7526CBDA658A332000000000000000000000000000"
1011                "0000000000000000000000000000000000000000000000000000000000000"
1012                "0000000000000000000000000000000000000",
1013                buffer));
1014 }
1015 
1016 
TEST(DivideModuloIntBignum)1017 TEST(DivideModuloIntBignum) {
1018   char buffer[kBufferSize];
1019   Bignum bignum;
1020   Bignum other;
1021   Bignum third;
1022 
1023   bignum.AssignUInt16(10);
1024   other.AssignUInt16(2);
1025   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1026   CHECK(bignum.ToHexString(buffer, kBufferSize));
1027   CHECK_EQ(0, strcmp("0", buffer));
1028 
1029   bignum.AssignUInt16(10);
1030   bignum.ShiftLeft(500);
1031   other.AssignUInt16(2);
1032   other.ShiftLeft(500);
1033   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1034   CHECK_EQ(0, strcmp("0", buffer));
1035 
1036   bignum.AssignUInt16(11);
1037   other.AssignUInt16(2);
1038   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1039   CHECK(bignum.ToHexString(buffer, kBufferSize));
1040   CHECK_EQ(0, strcmp("1", buffer));
1041 
1042   bignum.AssignUInt16(10);
1043   bignum.ShiftLeft(500);
1044   other.AssignUInt16(1);
1045   bignum.AddBignum(other);
1046   other.AssignUInt16(2);
1047   other.ShiftLeft(500);
1048   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1049   CHECK(bignum.ToHexString(buffer, kBufferSize));
1050   CHECK_EQ(0, strcmp("1", buffer));
1051 
1052   bignum.AssignUInt16(10);
1053   bignum.ShiftLeft(500);
1054   other.AssignBignum(bignum);
1055   bignum.MultiplyByUInt32(0x1234);
1056   third.AssignUInt16(0xFFF);
1057   bignum.AddBignum(third);
1058   CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
1059   CHECK(bignum.ToHexString(buffer, kBufferSize));
1060   CHECK_EQ(0, strcmp("FFF", buffer));
1061 
1062   bignum.AssignUInt16(10);
1063   AssignHexString(&other, "1234567890");
1064   CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
1065   CHECK(bignum.ToHexString(buffer, kBufferSize));
1066   CHECK_EQ(0, strcmp("A", buffer));
1067 
1068   AssignHexString(&bignum, "12345678");
1069   AssignHexString(&other, "3789012");
1070   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1071   CHECK(bignum.ToHexString(buffer, kBufferSize));
1072   CHECK_EQ(0, strcmp("D9861E", buffer));
1073 
1074   AssignHexString(&bignum, "70000001");
1075   AssignHexString(&other, "1FFFFFFF");
1076   CHECK_EQ(3, bignum.DivideModuloIntBignum(other));
1077   CHECK(bignum.ToHexString(buffer, kBufferSize));
1078   CHECK_EQ(0, strcmp("10000004", buffer));
1079 
1080   AssignHexString(&bignum, "28000000");
1081   AssignHexString(&other, "12A05F20");
1082   CHECK_EQ(2, bignum.DivideModuloIntBignum(other));
1083   CHECK(bignum.ToHexString(buffer, kBufferSize));
1084   CHECK_EQ(0, strcmp("2BF41C0", buffer));
1085 
1086   bignum.AssignUInt16(10);
1087   bignum.ShiftLeft(500);
1088   other.AssignBignum(bignum);
1089   bignum.MultiplyByUInt32(0x1234);
1090   third.AssignUInt16(0xFFF);
1091   other.SubtractBignum(third);
1092   CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
1093   CHECK(bignum.ToHexString(buffer, kBufferSize));
1094   CHECK_EQ(0, strcmp("1232DCC", buffer));
1095   CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
1096   CHECK(bignum.ToHexString(buffer, kBufferSize));
1097   CHECK_EQ(0, strcmp("1232DCC", buffer));
1098 }
1099 
1100 
TEST(Compare)1101 TEST(Compare) {
1102   Bignum bignum1;
1103   Bignum bignum2;
1104   bignum1.AssignUInt16(1);
1105   bignum2.AssignUInt16(1);
1106   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1107   CHECK(Bignum::Equal(bignum1, bignum2));
1108   CHECK(Bignum::LessEqual(bignum1, bignum2));
1109   CHECK(!Bignum::Less(bignum1, bignum2));
1110 
1111   bignum1.AssignUInt16(0);
1112   bignum2.AssignUInt16(1);
1113   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1114   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1115   CHECK(!Bignum::Equal(bignum1, bignum2));
1116   CHECK(!Bignum::Equal(bignum2, bignum1));
1117   CHECK(Bignum::LessEqual(bignum1, bignum2));
1118   CHECK(!Bignum::LessEqual(bignum2, bignum1));
1119   CHECK(Bignum::Less(bignum1, bignum2));
1120   CHECK(!Bignum::Less(bignum2, bignum1));
1121 
1122   AssignHexString(&bignum1, "1234567890ABCDEF12345");
1123   AssignHexString(&bignum2, "1234567890ABCDEF12345");
1124   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1125 
1126   AssignHexString(&bignum1, "1234567890ABCDEF12345");
1127   AssignHexString(&bignum2, "1234567890ABCDEF12346");
1128   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1129   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1130 
1131   AssignHexString(&bignum1, "1234567890ABCDEF12345");
1132   bignum1.ShiftLeft(500);
1133   AssignHexString(&bignum2, "1234567890ABCDEF12345");
1134   bignum2.ShiftLeft(500);
1135   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1136 
1137   AssignHexString(&bignum1, "1234567890ABCDEF12345");
1138   bignum1.ShiftLeft(500);
1139   AssignHexString(&bignum2, "1234567890ABCDEF12346");
1140   bignum2.ShiftLeft(500);
1141   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1142   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1143 
1144   bignum1.AssignUInt16(1);
1145   bignum1.ShiftLeft(64);
1146   AssignHexString(&bignum2, "10000000000000000");
1147   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1148   CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));
1149 
1150   bignum1.AssignUInt16(1);
1151   bignum1.ShiftLeft(64);
1152   AssignHexString(&bignum2, "10000000000000001");
1153   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1154   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1155 
1156   bignum1.AssignUInt16(1);
1157   bignum1.ShiftLeft(96);
1158   AssignHexString(&bignum2, "10000000000000001");
1159   bignum2.ShiftLeft(32);
1160   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1161   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1162 
1163   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1164   bignum2.AssignUInt16(1);
1165   bignum2.ShiftLeft(64);
1166   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1167   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1168 
1169   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1170   bignum1.ShiftLeft(32);
1171   bignum2.AssignUInt16(1);
1172   bignum2.ShiftLeft(96);
1173   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1174   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1175 
1176   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1177   bignum1.ShiftLeft(32);
1178   bignum2.AssignUInt16(1);
1179   bignum2.ShiftLeft(95);
1180   CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2));
1181   CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1));
1182 
1183   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
1184   bignum1.ShiftLeft(32);
1185   bignum2.AssignUInt16(1);
1186   bignum2.ShiftLeft(100);
1187   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1188   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1189 
1190   AssignHexString(&bignum1, "100000000000000");
1191   bignum2.AssignUInt16(1);
1192   bignum2.ShiftLeft(14*4);
1193   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
1194   CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));
1195 
1196   AssignHexString(&bignum1, "100000000000001");
1197   bignum2.AssignUInt16(1);
1198   bignum2.ShiftLeft(14*4);
1199   CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2));
1200   CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1));
1201 
1202   AssignHexString(&bignum1, "200000000000000");
1203   bignum2.AssignUInt16(3);
1204   bignum2.ShiftLeft(14*4);
1205   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
1206   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
1207 }
1208 
1209 
TEST(PlusCompare)1210 TEST(PlusCompare) {
1211   Bignum a;
1212   Bignum b;
1213   Bignum c;
1214   a.AssignUInt16(1);
1215   b.AssignUInt16(0);
1216   c.AssignUInt16(1);
1217   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1218   CHECK(Bignum::PlusEqual(a, b, c));
1219   CHECK(Bignum::PlusLessEqual(a, b, c));
1220   CHECK(!Bignum::PlusLess(a, b, c));
1221 
1222   a.AssignUInt16(0);
1223   b.AssignUInt16(0);
1224   c.AssignUInt16(1);
1225   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1226   CHECK_EQ(+1, Bignum::PlusCompare(c, b, a));
1227   CHECK(!Bignum::PlusEqual(a, b, c));
1228   CHECK(!Bignum::PlusEqual(c, b, a));
1229   CHECK(Bignum::PlusLessEqual(a, b, c));
1230   CHECK(!Bignum::PlusLessEqual(c, b, a));
1231   CHECK(Bignum::PlusLess(a, b, c));
1232   CHECK(!Bignum::PlusLess(c, b, a));
1233 
1234   AssignHexString(&a, "1234567890ABCDEF12345");
1235   b.AssignUInt16(1);
1236   AssignHexString(&c, "1234567890ABCDEF12345");
1237   CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));
1238 
1239   AssignHexString(&a, "1234567890ABCDEF12344");
1240   b.AssignUInt16(1);
1241   AssignHexString(&c, "1234567890ABCDEF12345");
1242   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1243 
1244   AssignHexString(&a, "1234567890");
1245   a.ShiftLeft(11*4);
1246   AssignHexString(&b, "ABCDEF12345");
1247   AssignHexString(&c, "1234567890ABCDEF12345");
1248   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1249 
1250   AssignHexString(&a, "1234567890");
1251   a.ShiftLeft(11*4);
1252   AssignHexString(&b, "ABCDEF12344");
1253   AssignHexString(&c, "1234567890ABCDEF12345");
1254   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1255 
1256   AssignHexString(&a, "1234567890");
1257   a.ShiftLeft(11*4);
1258   AssignHexString(&b, "ABCDEF12346");
1259   AssignHexString(&c, "1234567890ABCDEF12345");
1260   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1261 
1262   AssignHexString(&a, "1234567891");
1263   a.ShiftLeft(11*4);
1264   AssignHexString(&b, "ABCDEF12345");
1265   AssignHexString(&c, "1234567890ABCDEF12345");
1266   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1267 
1268   AssignHexString(&a, "1234567889");
1269   a.ShiftLeft(11*4);
1270   AssignHexString(&b, "ABCDEF12345");
1271   AssignHexString(&c, "1234567890ABCDEF12345");
1272   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1273 
1274   AssignHexString(&a, "1234567890");
1275   a.ShiftLeft(11*4 + 32);
1276   AssignHexString(&b, "ABCDEF12345");
1277   b.ShiftLeft(32);
1278   AssignHexString(&c, "1234567890ABCDEF12345");
1279   c.ShiftLeft(32);
1280   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1281 
1282   AssignHexString(&a, "1234567890");
1283   a.ShiftLeft(11*4 + 32);
1284   AssignHexString(&b, "ABCDEF12344");
1285   b.ShiftLeft(32);
1286   AssignHexString(&c, "1234567890ABCDEF12345");
1287   c.ShiftLeft(32);
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, "1234567890ABCDEF12345");
1295   c.ShiftLeft(32);
1296   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1297 
1298   AssignHexString(&a, "1234567891");
1299   a.ShiftLeft(11*4 + 32);
1300   AssignHexString(&b, "ABCDEF12345");
1301   b.ShiftLeft(32);
1302   AssignHexString(&c, "1234567890ABCDEF12345");
1303   c.ShiftLeft(32);
1304   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1305 
1306   AssignHexString(&a, "1234567889");
1307   a.ShiftLeft(11*4 + 32);
1308   AssignHexString(&b, "ABCDEF12345");
1309   b.ShiftLeft(32);
1310   AssignHexString(&c, "1234567890ABCDEF12345");
1311   c.ShiftLeft(32);
1312   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1313 
1314   AssignHexString(&a, "1234567890");
1315   a.ShiftLeft(11*4 + 32);
1316   AssignHexString(&b, "ABCDEF12345");
1317   b.ShiftLeft(32);
1318   AssignHexString(&c, "1234567890ABCDEF1234500000000");
1319   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1320 
1321   AssignHexString(&a, "1234567890");
1322   a.ShiftLeft(11*4 + 32);
1323   AssignHexString(&b, "ABCDEF12344");
1324   b.ShiftLeft(32);
1325   AssignHexString(&c, "1234567890ABCDEF1234500000000");
1326   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1327 
1328   AssignHexString(&a, "1234567890");
1329   a.ShiftLeft(11*4 + 32);
1330   AssignHexString(&b, "ABCDEF12346");
1331   b.ShiftLeft(32);
1332   AssignHexString(&c, "1234567890ABCDEF1234500000000");
1333   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1334 
1335   AssignHexString(&a, "1234567891");
1336   a.ShiftLeft(11*4 + 32);
1337   AssignHexString(&b, "ABCDEF12345");
1338   b.ShiftLeft(32);
1339   AssignHexString(&c, "1234567890ABCDEF1234500000000");
1340   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1341 
1342   AssignHexString(&a, "1234567889");
1343   a.ShiftLeft(11*4 + 32);
1344   AssignHexString(&b, "ABCDEF12345");
1345   b.ShiftLeft(32);
1346   AssignHexString(&c, "1234567890ABCDEF1234500000000");
1347   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1348 
1349   AssignHexString(&a, "1234567890");
1350   a.ShiftLeft(11*4 + 32);
1351   AssignHexString(&b, "ABCDEF12345");
1352   AssignHexString(&c, "123456789000000000ABCDEF12345");
1353   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1354 
1355   AssignHexString(&a, "1234567890");
1356   a.ShiftLeft(11*4 + 32);
1357   AssignHexString(&b, "ABCDEF12346");
1358   AssignHexString(&c, "123456789000000000ABCDEF12345");
1359   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
1360 
1361   AssignHexString(&a, "1234567890");
1362   a.ShiftLeft(11*4 + 32);
1363   AssignHexString(&b, "ABCDEF12344");
1364   AssignHexString(&c, "123456789000000000ABCDEF12345");
1365   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1366 
1367   AssignHexString(&a, "1234567890");
1368   a.ShiftLeft(11*4 + 32);
1369   AssignHexString(&b, "ABCDEF12345");
1370   b.ShiftLeft(16);
1371   AssignHexString(&c, "12345678900000ABCDEF123450000");
1372   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
1373 
1374   AssignHexString(&a, "1234567890");
1375   a.ShiftLeft(11*4 + 32);
1376   AssignHexString(&b, "ABCDEF12344");
1377   b.ShiftLeft(16);
1378   AssignHexString(&c, "12345678900000ABCDEF123450000");
1379   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1380 
1381   AssignHexString(&a, "1234567890");
1382   a.ShiftLeft(11*4 + 32);
1383   AssignHexString(&b, "ABCDEF12345");
1384   b.ShiftLeft(16);
1385   AssignHexString(&c, "12345678900000ABCDEF123450001");
1386   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
1387 
1388   AssignHexString(&a, "1234567890");
1389   a.ShiftLeft(11*4 + 32);
1390   AssignHexString(&b, "ABCDEF12346");
1391   b.ShiftLeft(16);
1392   AssignHexString(&c, "12345678900000ABCDEF123450000");
1393   CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));
1394 }
1395 
1396 
TEST(Square)1397 TEST(Square) {
1398   Bignum bignum;
1399   char buffer[kBufferSize];
1400 
1401   bignum.AssignUInt16(1);
1402   bignum.Square();
1403   CHECK(bignum.ToHexString(buffer, kBufferSize));
1404   CHECK_EQ(0, strcmp("1", buffer));
1405 
1406   bignum.AssignUInt16(2);
1407   bignum.Square();
1408   CHECK(bignum.ToHexString(buffer, kBufferSize));
1409   CHECK_EQ(0, strcmp("4", buffer));
1410 
1411   bignum.AssignUInt16(10);
1412   bignum.Square();
1413   CHECK(bignum.ToHexString(buffer, kBufferSize));
1414   CHECK_EQ(0, strcmp("64", buffer));
1415 
1416   AssignHexString(&bignum, "FFFFFFF");
1417   bignum.Square();
1418   CHECK(bignum.ToHexString(buffer, kBufferSize));
1419   CHECK_EQ(0, strcmp("FFFFFFE0000001", buffer));
1420 
1421   AssignHexString(&bignum, "FFFFFFFFFFFFFF");
1422   bignum.Square();
1423   CHECK(bignum.ToHexString(buffer, kBufferSize));
1424   CHECK_EQ(0, strcmp("FFFFFFFFFFFFFE00000000000001", buffer));
1425 }
1426 
1427 
TEST(AssignPowerUInt16)1428 TEST(AssignPowerUInt16) {
1429   Bignum bignum;
1430   char buffer[kBufferSize];
1431 
1432   bignum.AssignPowerUInt16(1, 0);
1433   CHECK(bignum.ToHexString(buffer, kBufferSize));
1434   CHECK_EQ(0, strcmp("1", buffer));
1435 
1436   bignum.AssignPowerUInt16(1, 1);
1437   CHECK(bignum.ToHexString(buffer, kBufferSize));
1438   CHECK_EQ(0, strcmp("1", buffer));
1439 
1440   bignum.AssignPowerUInt16(1, 2);
1441   CHECK(bignum.ToHexString(buffer, kBufferSize));
1442   CHECK_EQ(0, strcmp("1", buffer));
1443 
1444   bignum.AssignPowerUInt16(2, 0);
1445   CHECK(bignum.ToHexString(buffer, kBufferSize));
1446   CHECK_EQ(0, strcmp("1", buffer));
1447 
1448   bignum.AssignPowerUInt16(2, 1);
1449   CHECK(bignum.ToHexString(buffer, kBufferSize));
1450   CHECK_EQ(0, strcmp("2", buffer));
1451 
1452   bignum.AssignPowerUInt16(2, 2);
1453   CHECK(bignum.ToHexString(buffer, kBufferSize));
1454   CHECK_EQ(0, strcmp("4", buffer));
1455 
1456   bignum.AssignPowerUInt16(16, 1);
1457   CHECK(bignum.ToHexString(buffer, kBufferSize));
1458   CHECK_EQ(0, strcmp("10", buffer));
1459 
1460   bignum.AssignPowerUInt16(16, 2);
1461   CHECK(bignum.ToHexString(buffer, kBufferSize));
1462   CHECK_EQ(0, strcmp("100", buffer));
1463 
1464   bignum.AssignPowerUInt16(16, 5);
1465   CHECK(bignum.ToHexString(buffer, kBufferSize));
1466   CHECK_EQ(0, strcmp("100000", buffer));
1467 
1468   bignum.AssignPowerUInt16(16, 8);
1469   CHECK(bignum.ToHexString(buffer, kBufferSize));
1470   CHECK_EQ(0, strcmp("100000000", buffer));
1471 
1472   bignum.AssignPowerUInt16(16, 16);
1473   CHECK(bignum.ToHexString(buffer, kBufferSize));
1474   CHECK_EQ(0, strcmp("10000000000000000", buffer));
1475 
1476   bignum.AssignPowerUInt16(16, 30);
1477   CHECK(bignum.ToHexString(buffer, kBufferSize));
1478   CHECK_EQ(0, strcmp("1000000000000000000000000000000", buffer));
1479 
1480   bignum.AssignPowerUInt16(10, 0);
1481   CHECK(bignum.ToHexString(buffer, kBufferSize));
1482   CHECK_EQ(0, strcmp("1", buffer));
1483 
1484   bignum.AssignPowerUInt16(10, 1);
1485   CHECK(bignum.ToHexString(buffer, kBufferSize));
1486   CHECK_EQ(0, strcmp("A", buffer));
1487 
1488   bignum.AssignPowerUInt16(10, 2);
1489   CHECK(bignum.ToHexString(buffer, kBufferSize));
1490   CHECK_EQ(0, strcmp("64", buffer));
1491 
1492   bignum.AssignPowerUInt16(10, 5);
1493   CHECK(bignum.ToHexString(buffer, kBufferSize));
1494   CHECK_EQ(0, strcmp("186A0", buffer));
1495 
1496   bignum.AssignPowerUInt16(10, 8);
1497   CHECK(bignum.ToHexString(buffer, kBufferSize));
1498   CHECK_EQ(0, strcmp("5F5E100", buffer));
1499 
1500   bignum.AssignPowerUInt16(10, 16);
1501   CHECK(bignum.ToHexString(buffer, kBufferSize));
1502   CHECK_EQ(0, strcmp("2386F26FC10000", buffer));
1503 
1504   bignum.AssignPowerUInt16(10, 30);
1505   CHECK(bignum.ToHexString(buffer, kBufferSize));
1506   CHECK_EQ(0, strcmp("C9F2C9CD04674EDEA40000000", buffer));
1507 
1508   bignum.AssignPowerUInt16(10, 31);
1509   CHECK(bignum.ToHexString(buffer, kBufferSize));
1510   CHECK_EQ(0, strcmp("7E37BE2022C0914B2680000000", buffer));
1511 
1512   bignum.AssignPowerUInt16(2, 0);
1513   CHECK(bignum.ToHexString(buffer, kBufferSize));
1514   CHECK_EQ(0, strcmp("1", buffer));
1515 
1516   bignum.AssignPowerUInt16(2, 100);
1517   CHECK(bignum.ToHexString(buffer, kBufferSize));
1518   CHECK_EQ(0, strcmp("10000000000000000000000000", buffer));
1519 
1520   bignum.AssignPowerUInt16(17, 0);
1521   CHECK(bignum.ToHexString(buffer, kBufferSize));
1522   CHECK_EQ(0, strcmp("1", buffer));
1523 
1524   bignum.AssignPowerUInt16(17, 99);
1525   CHECK(bignum.ToHexString(buffer, kBufferSize));
1526   CHECK_EQ(0, strcmp(
1527                   "1942BB9853FAD924A3D4DD92B89B940E0207BEF05DB9C26BC1B757"
1528                   "80BE0C5A2C2990E02A681224F34ED68558CE4C6E33760931",
1529                   buffer));
1530 
1531   bignum.AssignPowerUInt16(0xFFFF, 99);
1532   CHECK(bignum.ToHexString(buffer, kBufferSize));
1533   CHECK_EQ(0, strcmp(
1534                   "FF9D12F09B886C54E77E7439C7D2DED2D34F669654C0C2B6B8C288250"
1535                   "5A2211D0E3DC9A61831349EAE674B11D56E3049D7BD79DAAD6C9FA2BA"
1536                   "528E3A794299F2EE9146A324DAFE3E88967A0358233B543E233E575B9"
1537                   "DD4E3AA7942146426C328FF55BFD5C45E0901B1629260AF9AE2F310C5"
1538                   "50959FAF305C30116D537D80CF6EBDBC15C5694062AF1AC3D956D0A41"
1539                   "B7E1B79FF11E21D83387A1CE1F5882B31E4B5D8DE415BDBE6854466DF"
1540                   "343362267A7E8833119D31D02E18DB5B0E8F6A64B0ED0D0062FFFF",
1541                   buffer));
1542 }
1543