File: calculator.cpp

package info (click to toggle)
primecount 8.0%2Bds-1
  • links: PTS, VCS
  • area: main
  • in suites: forky, sid
  • size: 2,640 kB
  • sloc: cpp: 21,835; ansic: 121; sh: 99; makefile: 89
file content (491 lines) | stat: -rw-r--r-- 14,306 bytes parent folder | download
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
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
///
/// @file   calculator.cpp
/// @brief  test program for calculator.hpp
///
/// Copyright (C) 2025 Kim Walisch, <kim.walisch@gmail.com>
///
/// This file is distributed under the BSD License. See the COPYING
/// file in the top level directory.
///

#include <calculator.hpp>

#include <algorithm>
#include <cstdlib>
#include <iostream>
#include <limits>
#include <random>
#include <string>

// If stdint.h defines the INT128_MAX macro we assume the
// int128_t and uint128_t types are well supported by
// the C++ standard library.
#include <stdint.h>

template <typename T>
std::string to_string(T n)
{
  return std::to_string(n);
}

// The compiler supports __int128_t but the C++ standard library
// does not, at least for GCC <= 15 and Clang <= 21.
// Hence we need to write some __int128_t helper functions.
#if defined(__SIZEOF_INT128__) && \
   !defined(INT128_MAX) && \
   !defined(_MSC_VER)

using int128_t = __int128_t;
using uint128_t = __uint128_t;

template <>
std::string to_string(uint128_t n)
{
  std::string str;

  while (n > 0)
  {
    str += '0' + n % 10;
    n /= 10;
  }

  if (str.empty())
    str = "0";

  std::reverse(str.begin(), str.end());

  return str;
}

template <>
std::string to_string(int128_t n)
{
  if (n >= 0)
    return to_string((uint128_t) n);
  else
  {
    // -n causes undefined behavior for n = INT128_MIN.
    // Hence we use the defined two's complement negation: ~n + 1.
    // Casting ~n to unsigned ensures the result of the addition
    // (2^127 for INT128_MIN) is safely stored in a uint128_t
    // without signed overflow.
    uint128_t abs_n = uint128_t(~n) + 1;
    return "-" + to_string(abs_n);
  }
}
#endif

template <typename T>
void check(const std::string& expr,
           const std::string& expected)
{
  T n = calculator::eval<T>(expr);
  std::string res = to_string(n);

  if (res == expected)
    std::cout << "Correct: " << expr << " = " << res << std::endl;
  else
  {
    std::cerr << "Error: " << expr << " = " << res << " != " << expected << std::endl;
    std::exit(1);
  }
}

template <typename T>
void check_exception(const std::string& expr)
{
  try {
    check<T>(expr, "error");
  }
  catch (calculator::error& e)
  {
    std::string errorMsg(e.what());
    std::size_t pos = errorMsg.find(": ");

    if (pos != std::string::npos)
      errorMsg = errorMsg.substr(pos + 2);

    std::cout << "Correct: " << errorMsg << std::endl;
  }
}

void trivial_tests()
{
  check<int>("0", "0");
  check<int>("1", "1");
  check<int>("12", "12");
  check<int>("123", "123");

  check<int>("-0", "0");
  check<int>("-1", "-1");
  check<int>("-12", "-12");
  check<int>("-123", "-123");

  check<int>("0x0", "0");
  check<int>("0x1", "1");
  check<int>("0xa", "10");
  check<int>("0xf", "15");
  check<int>("0x10", "16");
  check<int>("0xff", "255");

  check<int>("-0x0", "0");
  check<int>("-0x1", "-1");
  check<int>("-0xa", "-10");
  check<int>("-0xf", "-15");
  check<int>("-0x10", "-16");
  check<int>("-0xff", "-255");

  check<int>("(1)", "1");
  check<int>("2 * (-0xa + 17)", "14");
  check<int>("10* -(3+2)", "-50");
  check<int>("2^(2*5)", "1024");
  check<int>(" (2*5)^2", "100");
  check<int>("(((((1 )))+ 1))", "2");

  std::cout << std::endl;

  check_exception<int>("");
  check_exception<int>("     ");
  check_exception<int>("10 10");
  check_exception<int>("10a10");
  check_exception<int>("10.10");
  check_exception<int>("10'10");
  check_exception<int>("10\"10");
  check_exception<int>("()");
  check_exception<int>("10+(5-3");
  check_exception<int>("10+)");
  check_exception<int>("(((((10))))");
}

void arithmetic_expression_tests()
{
  #define STR1(s) #s
  #define STRINGIFY(s) STR1(s)

  /// Test expressions
  #define EXPR1 45345 + 0 + 0xdf234 - 1000 % 7
  #define EXPR2 (0 + 0xdf234 - 1000) * 3 / 2 % 999
  #define EXPR3 1 << 16
  #define EXPR4 (0 + ~(0xdf234 & 1000) * 3) / -2
  #define EXPR5 ((1 << 16) + (1 << 16)) >> 0X5
  #define EXPR6 1+(((2+(3+(4+(5+6)* -7)/8))&127)<<1) *-3
  #define EXPR7 100000000 + (1 << 16) + (1 << 16)
  #define EXPR8 1-~1
  #define EXPR9 1- ~1*0xfFa/( ((((8+(6|(4 *(2*(1)*3)*5)|7)+9)))))
  #define EXPRa ((12|13)<<8)>>((1|127) %10&(31+7))
  #define EXPRb ((((((((((5))))))  ))))- ((((((((( 6)))))))))

  check<int>(STRINGIFY(EXPR1), to_string(EXPR1));
  check<int>(STRINGIFY(EXPR2), to_string(EXPR2));
  check<int>(STRINGIFY(EXPR3), to_string(EXPR3));
  check<int>(STRINGIFY(EXPR4), to_string(EXPR4));
  check<int>(STRINGIFY(EXPR5), to_string(EXPR5));
  check<int>(STRINGIFY(EXPR6), to_string(EXPR6));
  check<int>(STRINGIFY(EXPR7), to_string(EXPR7));
  check<int>(STRINGIFY(EXPR8), to_string(EXPR8));
  check<int>(STRINGIFY(EXPR9), to_string(EXPR9));
  check<int>(STRINGIFY(EXPRa), to_string(EXPRa));
  check<int>(STRINGIFY(EXPRb), to_string(EXPRb));
}

void signed_integer_tests()
{
  check<int64_t>("300+(-200)", "100");
  check<int64_t>("300-(-200)", "500");
  check<int64_t>("1e18", "1000000000000000000");
  check<int64_t>("3e18", "3000000000000000000");
  check<int64_t>("7e-2", "0");
  check<int64_t>("10^0", "1");
  check<int64_t>("10^1", "10");
  check<int64_t>("37^2", "1369");
  check<int64_t>("101^3", "1030301");
  check<int64_t>("3^30", "205891132094649");
  check<int64_t>("2^62-1", "4611686018427387903");
  check<int64_t>("2^62-1+2^62", "9223372036854775807");
  check<int64_t>("-(2^62)-(2^62)", "-9223372036854775808");

  std::cout << std::endl;

  check<int64_t>("1^60", "1");
  check<int64_t>("(-1)^59", "-1");
  check<int64_t>("(-1)^60", "1");
  check<int64_t>("(-2)^3", "-8");
  check<int64_t>("(-2)^4", "16");
  check<int64_t>("3^3", "27");
  check<int64_t>("(-3)^3", "-27");
  check<int64_t>("(-3)^20", "3486784401");
  check<int64_t>("0^0", "1");

  std::cout << std::endl;

  check<int64_t>("(-1)^1", "-1");
  check<int64_t>("(-1)^-1", "-1");
  check<int64_t>("(-1)^-2", "1");
  check<int64_t>("(-1)^-3", "-1");
  check<int64_t>("(-1)^-4", "1");
  check<int64_t>("2^-1", "0");
  check<int64_t>("1000^-2", "0");
  check<int64_t>("100000000^-5", "0");
  check<int64_t>("(-2)^-1", "0");
  check<int64_t>("(-1000)^-2", "0");
  check<int64_t>("(-100000000)^-5", "0");

  std::cout << std::endl;

  check_exception<int64_t>("0^(-1)");
  check_exception<int64_t>("0xfffffffffffffffffff");
  check_exception<int64_t>("1000000000000000000000000000");
  check_exception<int64_t>("10^20");
  check_exception<int64_t>("123456789012345*1234567890");
  check_exception<int64_t>("9223372036854775700+200");
  check_exception<int64_t>("-9223372036854775700+(-200)");
  check_exception<int64_t>("-9223372036854775700-200");
  check_exception<int64_t>("9223372036854775700-(-200)");
  check_exception<int64_t>("-(-9223372036854775807-1)");

#if defined(__SIZEOF_INT128__) && \
   !defined(_MSC_VER)

  std::cout << std::endl;

  check<int128_t>("1e25", "10000000000000000000000000");
  check<int128_t>("3e25", "30000000000000000000000000");
  check<int128_t>("5^50", "88817841970012523233890533447265625");
  check<int128_t>("2^120-1", "1329227995784915872903807060280344575");
  check<int128_t>("2^126-1+2^126", "170141183460469231731687303715884105727");
  check<int128_t>("-(2^126)-(2^126)", "-170141183460469231731687303715884105728");

  std::cout << std::endl;

  check_exception<int128_t>("0xfffffffffffffffffffffffffffffffff");
  check_exception<int128_t>("10000000000000000000000000000000000000000");
  check_exception<int128_t>("10^40");
  check_exception<int128_t>("170141183460469231731687303715884105700*2");
  check_exception<int128_t>("170141183460469231731687303715884105700+200");
  check_exception<int128_t>("-170141183460469231731687303715884105700+(-200)");
  check_exception<int128_t>("-170141183460469231731687303715884105700-200");
  check_exception<int128_t>("170141183460469231731687303715884105700-(-200)");
  check_exception<int128_t>("-(-170141183460469231731687303715884105727-1)");

#endif
}

void unsigned_integer_tests()
{
  check<uint64_t>("300-200", "100");
  check<uint64_t>("1e19", "10000000000000000000");
  check<uint64_t>("11e18", "11000000000000000000");
  check<uint64_t>("10^0", "1");
  check<uint64_t>("10^1", "10");
  check<uint64_t>("37^2", "1369");
  check<uint64_t>("101^3", "1030301");
  check<uint64_t>("3^30", "205891132094649");
  check<uint64_t>("2^63-1", "9223372036854775807");
  check<uint64_t>("2^63-1+2^63", "18446744073709551615");

  std::cout << std::endl;

  check_exception<uint64_t>("0xfffffffffffffffffff");
  check_exception<uint64_t>("1000000000000000000000000000");
  check_exception<uint64_t>("10^20");
  check_exception<uint64_t>("123456789012345*1234567890");
  check_exception<uint64_t>("18446744073709551516+200");
  check_exception<uint64_t>("2-3");
  check_exception<uint64_t>("-100+200");

#if defined(__SIZEOF_INT128__) && \
   !defined(_MSC_VER)

  std::cout << std::endl;

  check<uint128_t>("1e25", "10000000000000000000000000");
  check<uint128_t>("3e25", "30000000000000000000000000");
  check<uint128_t>("5^50", "88817841970012523233890533447265625");
  check<uint128_t>("2^120-1", "1329227995784915872903807060280344575");
  check<uint128_t>("2^127-1+2^127", "340282366920938463463374607431768211455");

  std::cout << std::endl;

  check_exception<uint128_t>("0xfffffffffffffffffffffffffffffffff");
  check_exception<uint128_t>("10000000000000000000000000000000000000000");
  check_exception<uint128_t>("10^40");
  check_exception<uint128_t>("340282366920938463463374607431768211356*2");
  check_exception<uint128_t>("340282366920938463463374607431768211356+200");
  check_exception<uint128_t>("340282366920938463463374607431768211356-340282366920938463463374607431768211357");
  check_exception<uint128_t>("100-(-100)");

#endif
}

#define TEST_OP(TYPE, OP, OP_STR) \
{ \
  if (j == 0 && ( \
      std::string(OP_STR) == "/" || \
      std::string(OP_STR) == "%")) \
    continue; \
  if (i OP j >= std::numeric_limits<TYPE>::min() && \
      i OP j <= std::numeric_limits<TYPE>::max()) \
  { \
    std::string expr = std::to_string(i) + OP_STR + std::to_string(j); \
    int res = calculator::eval<TYPE>(expr); \
    if (i OP j != res) \
    { \
      std::cerr << "Error: " << i << " " << OP_STR << " " << j << " = " << i OP j << " != " << res << std::endl; \
      std::exit(1); \
    } \
  } \
}

// This test tests invalid arithmetic expressions that cause
// e.g. integer overflow or underflow. If an arithmetic
// expression is invalid, then our code must detect it and
// throw a calculator::error exception.
#define TEST_OP_OVERFLOW(TYPE, OP, OP_STR) \
{ \
  if (j == 0 && ( \
      std::string(OP_STR) == "/" || \
      std::string(OP_STR) == "%")) \
    continue; \
  std::string expr; \
  int res; \
  try { \
    expr = std::to_string(i) + OP_STR + std::to_string(j); \
    res = calculator::eval<TYPE>(expr); \
  } \
  catch (calculator::error&) { \
    count_exceptions += 1; \
    if (count_exceptions > max_exceptions) break; \
    res = std::numeric_limits<int>::min(); \
  } \
  if (i OP j >= std::numeric_limits<TYPE>::min() && \
      i OP j <= std::numeric_limits<TYPE>::max()) \
  { \
    if (i OP j != res) \
    { \
      std::cerr << "Error: " << i << " " << OP_STR << " " << j << " = " << i OP j << " != " << res << std::endl; \
      std::exit(1); \
    } \
  } \
  else if (res != std::numeric_limits<int>::min()) \
  { \
      std::cerr << "Error: failed to detect invalid " << #TYPE << " expression: '" << expr << "'" << std::endl; \
      std::exit(1); \
  } \
}

void int8_tests()
{
  std::cout << "Starting int8_t tests..." << std::endl;
  int int8_min = std::numeric_limits<int8_t>::min();
  int int8_max = std::numeric_limits<int8_t>::max();

  for (int i = int8_min + 1; i <= int8_max; i++)
    for (int j = int8_min + 1; j <= int8_max; j++)
    {
      TEST_OP(int8_t, +, "+")
      TEST_OP(int8_t, -, "-")
      TEST_OP(int8_t, *, "*")
      TEST_OP(int8_t, /, "/")
      TEST_OP(int8_t, %, "%")
    }

  std::random_device rd;
  std::mt19937 gen(rd());
  std::uniform_int_distribution<int> dist(int8_min + 1, int8_max);

  // C++ Exceptions are slow so we limit their number
  int max_exceptions = 5000;
  int count_exceptions = 0;

  for (int t = 0; t < 50000; t++)
  {
    int i = dist(gen);
    int j = dist(gen);

    TEST_OP_OVERFLOW(int8_t, +, "+")
    TEST_OP_OVERFLOW(int8_t, -, "-")
    TEST_OP_OVERFLOW(int8_t, *, "*")
    TEST_OP_OVERFLOW(int8_t, /, "/")
    TEST_OP_OVERFLOW(int8_t, %, "%")
  }

  std::cout << "Successfully completed int8_t tests!" << std::endl;
}

void uint8_tests()
{
  std::cout << "Starting uint8_t tests..." << std::endl;
  int uint8_min = std::numeric_limits<uint8_t>::min();
  int uint8_max = std::numeric_limits<uint8_t>::max();

  for (int i = uint8_min; i <= uint8_max; i++)
    for (int j = uint8_min; j <= uint8_max; j++)
    {
      TEST_OP(uint8_t, +, "+")
      TEST_OP(uint8_t, -, "-")
      TEST_OP(uint8_t, *, "*")
      TEST_OP(uint8_t, /, "/")
      TEST_OP(uint8_t, %, "%")
    }

  std::random_device rd;
  std::mt19937 gen(rd());
  std::uniform_int_distribution<int> dist(uint8_min, uint8_max);

  // C++ Exceptions are slow so we limit their number
  int max_exceptions = 5000;
  int count_exceptions = 0;

  for (int t = 0; t < 50000; t++)
  {
    int i = dist(gen);
    int j = dist(gen);

    TEST_OP_OVERFLOW(uint8_t, +, "+")
    TEST_OP_OVERFLOW(uint8_t, -, "-")
    TEST_OP_OVERFLOW(uint8_t, *, "*")
    TEST_OP_OVERFLOW(uint8_t, /, "/")
    TEST_OP_OVERFLOW(uint8_t, %, "%")
  }

  std::cout << "Successfully completed uint8_t tests!" << std::endl;
}

int main()
{
  std::cout << std::endl;
  std::cout << "=== Trivial tests ===" << std::endl;
  std::cout << std::endl;

  trivial_tests();

  std::cout << std::endl;
  std::cout << "=== Arithmetic expression tests ===" << std::endl;
  std::cout << std::endl;

  arithmetic_expression_tests();

  std::cout << std::endl;
  std::cout << "=== Signed integer tests ===" << std::endl;
  std::cout << std::endl;

  signed_integer_tests();

  std::cout << std::endl;
  std::cout << "=== Unsigned integer tests ===" << std::endl;
  std::cout << std::endl;

  unsigned_integer_tests();

  std::cout << std::endl;
  std::cout << "=== 8-bit integer tests ===" << std::endl;
  std::cout << std::endl;

  int8_tests();
  uint8_tests();

  std::cout << std::endl;
  std::cout << "All tests passed successfully!" << std::endl;

  return 0;
}