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