1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
|
/*
* (C) 2009 Jack Lloyd
*
* Botan is released under the Simplified BSD License (see license.txt)
*/
#include "tests.h"
#if defined(BOTAN_HAS_BIGINT)
#if defined(BOTAN_HAS_NUMBERTHEORY)
#include <vector>
#include <string>
#include <fstream>
#include <iostream>
#include <cstdlib>
#include <iterator>
#include <sstream>
#include <botan/bigint.h>
#include <botan/exceptn.h>
#include <botan/numthry.h>
using namespace Botan;
namespace {
void test_failure(const char* function, const char* file, int line,
const std::string& what_failed)
{
std::cout << "FAIL " << function << " " << file << ":" << line << " "
<< what_failed << std::endl;
}
#define BOTAN_CONFIRM_NOTHROW(block) do { \
try { block } \
catch(std::exception& e) { \
test_failure(BOTAN_CURRENT_FUNCTION, __FILE__, __LINE__, e.what()); \
++tests_failed; \
} } while(0) \
#define BOTAN_TEST(lhs, rhs, msg) do { \
++tests_run; \
BOTAN_CONFIRM_NOTHROW({ \
const auto lhs_val = lhs; \
const auto rhs_val = rhs; \
const bool cmp = lhs_val == rhs_val; \
if(!cmp) \
{ \
std::ostringstream fmt; \
fmt << "expr '" << #lhs << " == " << #rhs << "' false, " \
<< "actually " << lhs_val << " " << rhs_val \
<< " (" << msg << ")"; \
test_failure(BOTAN_CURRENT_FUNCTION, __FILE__, __LINE__, fmt.str()); \
++tests_failed; \
} \
}); \
} while(0)
#define BOTAN_TEST_CASE(name, block) size_t test_ ## name() { \
size_t tests_run = 0, tests_failed = 0; \
BOTAN_CONFIRM_NOTHROW(block); \
return tests_failed; \
}
BOTAN_TEST_CASE(bigint_to_u32bit, {
for(size_t i = 0; i != 32; ++i)
{
const u32bit in = 1 << i;
BOTAN_TEST(in, BigInt(in).to_u32bit(), "in range round trips");
}
});
void strip_comments(std::string& line)
{
if(line.find('#') != std::string::npos)
line = line.erase(line.find('#'), std::string::npos);
}
/* Strip comments, whitespace, etc */
void strip(std::string& line)
{
strip_comments(line);
#if 0
while(line.find(' ') != std::string::npos)
line = line.erase(line.find(' '), 1);
#endif
while(line.find('\t') != std::string::npos)
line = line.erase(line.find('\t'), 1);
}
std::vector<std::string> parse(const std::string& line)
{
const char DELIMITER = ':';
std::vector<std::string> substr;
std::string::size_type start = 0, end = line.find(DELIMITER);
while(end != std::string::npos)
{
substr.push_back(line.substr(start, end-start));
start = end+1;
end = line.find(DELIMITER, start);
}
if(line.size() > start)
substr.push_back(line.substr(start));
while(substr.size() <= 4) // at least 5 substr, some possibly empty
substr.push_back("");
return substr;
}
// c==expected, d==a op b, e==a op= b
size_t results(std::string op,
const BigInt& a, const BigInt& b,
const BigInt& c, const BigInt& d, const BigInt& e)
{
std::string op1 = "operator" + op;
std::string op2 = op1 + "=";
if(c == d && d == e)
return 0;
else
{
std::cout << std::endl;
std::cout << "ERROR: " << op1 << std::endl;
std::cout << "a = " << std::hex << a << std::endl;
std::cout << "b = " << std::hex << b << std::endl;
std::cout << "c = " << std::hex << c << std::endl;
std::cout << "d = " << std::hex << d << std::endl;
std::cout << "e = " << std::hex << e << std::endl;
if(d != e)
{
std::cout << "ERROR: " << op1 << " | " << op2
<< " mismatch" << std::endl;
}
return 1;
}
}
size_t check_add(const std::vector<std::string>& args)
{
BigInt a(args[0]);
BigInt b(args[1]);
BigInt c(args[2]);
BigInt d = a + b;
BigInt e = a;
e += b;
if(results("+", a, b, c, d, e))
return 1;
d = b + a;
e = b;
e += a;
return results("+", a, b, c, d, e);
}
size_t check_sub(const std::vector<std::string>& args)
{
BigInt a(args[0]);
BigInt b(args[1]);
BigInt c(args[2]);
BigInt d = a - b;
BigInt e = a;
e -= b;
return results("-", a, b, c, d, e);
}
size_t check_mul(const std::vector<std::string>& args)
{
BigInt a(args[0]);
BigInt b(args[1]);
BigInt c(args[2]);
/*
std::cout << "a = " << args[0] << "\n"
<< "b = " << args[1] << std::endl;
*/
/* This makes it more likely the fast multiply algorithms will be usable,
which is what we really want to test here (the simple n^2 multiply is
pretty well tested at this point).
*/
a.grow_to(64);
b.grow_to(64);
BigInt d = a * b;
BigInt e = a;
e *= b;
if(results("*", a, b, c, d, e))
return 1;
d = b * a;
e = b;
e *= a;
return results("*", a, b, c, d, e);
}
size_t check_sqr(const std::vector<std::string>& args)
{
BigInt a(args[0]);
BigInt b(args[1]);
a.grow_to(64);
b.grow_to(64);
BigInt c = square(a);
BigInt d = a * a;
return results("sqr", a, a, b, c, d);
}
size_t check_div(const std::vector<std::string>& args)
{
BigInt a(args[0]);
BigInt b(args[1]);
BigInt c(args[2]);
BigInt d = a / b;
BigInt e = a;
e /= b;
return results("/", a, b, c, d, e);
}
size_t check_mod(const std::vector<std::string>& args,
Botan::RandomNumberGenerator& rng)
{
BigInt a(args[0]);
BigInt b(args[1]);
BigInt c(args[2]);
BigInt d = a % b;
BigInt e = a;
e %= b;
size_t got = results("%", a, b, c, d, e);
if(got) return got;
word b_word = b.word_at(0);
/* Won't work for us, just pick one at random */
while(b_word == 0)
for(size_t j = 0; j != 2*sizeof(word); j++)
b_word = (b_word << 4) ^ rng.next_byte();
b = b_word;
c = a % b; /* we declare the BigInt % BigInt version to be correct here */
word d2 = a % b_word;
e = a;
e %= b_word;
return results("%(word)", a, b, c, d2, e);
}
size_t check_shl(const std::vector<std::string>& args)
{
BigInt a(args[0]);
size_t b = std::atoi(args[1].c_str());
BigInt c(args[2]);
BigInt d = a << b;
BigInt e = a;
e <<= b;
return results("<<", a, b, c, d, e);
}
size_t check_shr(const std::vector<std::string>& args)
{
BigInt a(args[0]);
size_t b = std::atoi(args[1].c_str());
BigInt c(args[2]);
BigInt d = a >> b;
BigInt e = a;
e >>= b;
return results(">>", a, b, c, d, e);
}
/* Make sure that (a^b)%m == r */
size_t check_powmod(const std::vector<std::string>& args)
{
BigInt a(args[0]);
BigInt b(args[1]);
BigInt m(args[2]);
BigInt c(args[3]);
BigInt r = power_mod(a, b, m);
if(c != r)
{
std::cout << "ERROR: power_mod" << std::endl;
std::cout << "a = " << std::hex << a << std::endl;
std::cout << "b = " << std::hex << b << std::endl;
std::cout << "m = " << std::hex << m << std::endl;
std::cout << "c = " << std::hex << c << std::endl;
std::cout << "r = " << std::hex << r << std::endl;
return 1;
}
return 0;
}
/* Make sure that n is prime or not prime, according to should_be_prime */
size_t is_primetest(const std::vector<std::string>& args,
Botan::RandomNumberGenerator& rng)
{
BigInt n(args[0]);
bool should_be_prime = (args[1] == "1");
bool is_prime = Botan::is_prime(n, rng);
if(is_prime != should_be_prime)
{
std::cout << "ERROR: is_prime" << std::endl;
std::cout << "n = " << n << std::endl;
std::cout << is_prime << " != " << should_be_prime << std::endl;
}
return 0;
}
}
size_t test_bigint()
{
const std::string filename = TEST_DATA_DIR "/mp_valid.dat";
std::ifstream test_data(filename);
if(!test_data)
throw Botan::Stream_IO_Error("Couldn't open test file " + filename);
size_t total_errors = 0;
size_t errors = 0, alg_count = 0;
std::string algorithm;
bool first = true;
size_t counter = 0;
total_errors += test_bigint_to_u32bit();
auto& rng = test_rng();
while(!test_data.eof())
{
if(test_data.bad() || test_data.fail())
throw Botan::Stream_IO_Error("File I/O error reading from " +
filename);
std::string line;
std::getline(test_data, line);
strip(line);
if(line.size() == 0) continue;
// Do line continuation
while(line[line.size()-1] == '\\' && !test_data.eof())
{
line.replace(line.size()-1, 1, "");
std::string nextline;
std::getline(test_data, nextline);
strip(nextline);
if(nextline.size() == 0) continue;
line += nextline;
}
if(line[0] == '[' && line[line.size() - 1] == ']')
{
if(!first)
test_report("Bigint " + algorithm, alg_count, errors);
algorithm = line.substr(1, line.size() - 2);
total_errors += errors;
errors = 0;
alg_count = 0;
counter = 0;
first = false;
continue;
}
std::vector<std::string> substr = parse(line);
// std::cout << "Testing: " << algorithm << std::endl;
size_t new_errors = 0;
if(algorithm.find("Addition") != std::string::npos)
new_errors = check_add(substr);
else if(algorithm.find("Subtraction") != std::string::npos)
new_errors = check_sub(substr);
else if(algorithm.find("Multiplication") != std::string::npos)
new_errors = check_mul(substr);
else if(algorithm.find("Square") != std::string::npos)
new_errors = check_sqr(substr);
else if(algorithm.find("Division") != std::string::npos)
new_errors = check_div(substr);
else if(algorithm.find("Modulo") != std::string::npos)
new_errors = check_mod(substr, rng);
else if(algorithm.find("LeftShift") != std::string::npos)
new_errors = check_shl(substr);
else if(algorithm.find("RightShift") != std::string::npos)
new_errors = check_shr(substr);
else if(algorithm.find("ModExp") != std::string::npos)
new_errors = check_powmod(substr);
else if(algorithm.find("PrimeTest") != std::string::npos)
new_errors = is_primetest(substr, rng);
else
std::cout << "Unknown MPI test " << algorithm << std::endl;
counter++;
alg_count++;
errors += new_errors;
if(new_errors)
std::cout << "ERROR: BigInt " << algorithm << " failed test #"
<< std::dec << alg_count << std::endl;
}
return total_errors;
}
#else
UNTESTED_WARNING(bigint);
#endif // BOTAN_HAS_NUMBERTHEORY
#else
SKIP_TEST(bigint);
#endif // BOTAN_HAS_BIGINT
|