arith_uint256_tests.cpp
1 // Copyright (c) 2011-2022 The Bitcoin Core developers 2 // Distributed under the MIT software license, see the accompanying 3 // file COPYING or http://www.opensource.org/licenses/mit-license.php. 4 5 #include <arith_uint256.h> 6 #include <uint256.h> 7 8 #include <boost/test/unit_test.hpp> 9 10 #include <cmath> 11 #include <cstdint> 12 #include <iomanip> 13 #include <limits> 14 #include <sstream> 15 #include <string> 16 #include <vector> 17 18 BOOST_AUTO_TEST_SUITE(arith_uint256_tests) 19 20 /// Convert vector to arith_uint256, via uint256 blob 21 static inline arith_uint256 arith_uint256V(const std::vector<unsigned char>& vch) 22 { 23 return UintToArith256(uint256(vch)); 24 } 25 static inline arith_uint256 arith_uint256S(const std::string& str) { return UintToArith256(uint256S(str)); } 26 27 const unsigned char R1Array[] = 28 "\x9c\x52\x4a\xdb\xcf\x56\x11\x12\x2b\x29\x12\x5e\x5d\x35\xd2\xd2" 29 "\x22\x81\xaa\xb5\x33\xf0\x08\x32\xd5\x56\xb1\xf9\xea\xe5\x1d\x7d"; 30 const char R1ArrayHex[] = "7D1DE5EAF9B156D53208F033B5AA8122D2d2355d5e12292b121156cfdb4a529c"; 31 const double R1Ldouble = 0.4887374590559308955; // R1L equals roughly R1Ldouble * 2^256 32 const arith_uint256 R1L = arith_uint256V(std::vector<unsigned char>(R1Array,R1Array+32)); 33 const uint64_t R1LLow64 = 0x121156cfdb4a529cULL; 34 35 const unsigned char R2Array[] = 36 "\x70\x32\x1d\x7c\x47\xa5\x6b\x40\x26\x7e\x0a\xc3\xa6\x9c\xb6\xbf" 37 "\x13\x30\x47\xa3\x19\x2d\xda\x71\x49\x13\x72\xf0\xb4\xca\x81\xd7"; 38 const arith_uint256 R2L = arith_uint256V(std::vector<unsigned char>(R2Array,R2Array+32)); 39 40 const char R1LplusR2L[] = "549FB09FEA236A1EA3E31D4D58F1B1369288D204211CA751527CFC175767850C"; 41 42 const unsigned char ZeroArray[] = 43 "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" 44 "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"; 45 const arith_uint256 ZeroL = arith_uint256V(std::vector<unsigned char>(ZeroArray,ZeroArray+32)); 46 47 const unsigned char OneArray[] = 48 "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00" 49 "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"; 50 const arith_uint256 OneL = arith_uint256V(std::vector<unsigned char>(OneArray,OneArray+32)); 51 52 const unsigned char MaxArray[] = 53 "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff" 54 "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"; 55 const arith_uint256 MaxL = arith_uint256V(std::vector<unsigned char>(MaxArray,MaxArray+32)); 56 57 const arith_uint256 HalfL = (OneL << 255); 58 static std::string ArrayToString(const unsigned char A[], unsigned int width) 59 { 60 std::stringstream Stream; 61 Stream << std::hex; 62 for (unsigned int i = 0; i < width; ++i) 63 { 64 Stream<<std::setw(2)<<std::setfill('0')<<(unsigned int)A[width-i-1]; 65 } 66 return Stream.str(); 67 } 68 69 BOOST_AUTO_TEST_CASE( basics ) // constructors, equality, inequality 70 { 71 BOOST_CHECK(1 == 0+1); 72 // constructor arith_uint256(vector<char>): 73 BOOST_CHECK(R1L.ToString() == ArrayToString(R1Array,32)); 74 BOOST_CHECK(R2L.ToString() == ArrayToString(R2Array,32)); 75 BOOST_CHECK(ZeroL.ToString() == ArrayToString(ZeroArray,32)); 76 BOOST_CHECK(OneL.ToString() == ArrayToString(OneArray,32)); 77 BOOST_CHECK(MaxL.ToString() == ArrayToString(MaxArray,32)); 78 BOOST_CHECK(OneL.ToString() != ArrayToString(ZeroArray,32)); 79 80 // == and != 81 BOOST_CHECK(R1L != R2L); 82 BOOST_CHECK(ZeroL != OneL); 83 BOOST_CHECK(OneL != ZeroL); 84 BOOST_CHECK(MaxL != ZeroL); 85 BOOST_CHECK(~MaxL == ZeroL); 86 BOOST_CHECK( ((R1L ^ R2L) ^ R1L) == R2L); 87 88 uint64_t Tmp64 = 0xc4dab720d9c7acaaULL; 89 for (unsigned int i = 0; i < 256; ++i) 90 { 91 BOOST_CHECK(ZeroL != (OneL << i)); 92 BOOST_CHECK((OneL << i) != ZeroL); 93 BOOST_CHECK(R1L != (R1L ^ (OneL << i))); 94 BOOST_CHECK(((arith_uint256(Tmp64) ^ (OneL << i) ) != Tmp64 )); 95 } 96 BOOST_CHECK(ZeroL == (OneL << 256)); 97 98 // String Constructor and Copy Constructor 99 BOOST_CHECK(arith_uint256S("0x" + R1L.ToString()) == R1L); 100 BOOST_CHECK(arith_uint256S("0x" + R2L.ToString()) == R2L); 101 BOOST_CHECK(arith_uint256S("0x" + ZeroL.ToString()) == ZeroL); 102 BOOST_CHECK(arith_uint256S("0x" + OneL.ToString()) == OneL); 103 BOOST_CHECK(arith_uint256S("0x" + MaxL.ToString()) == MaxL); 104 BOOST_CHECK(arith_uint256S(R1L.ToString()) == R1L); 105 BOOST_CHECK(arith_uint256S(" 0x" + R1L.ToString() + " ") == R1L); 106 BOOST_CHECK(arith_uint256S("") == ZeroL); 107 BOOST_CHECK(R1L == arith_uint256S(R1ArrayHex)); 108 BOOST_CHECK(arith_uint256(R1L) == R1L); 109 BOOST_CHECK((arith_uint256(R1L^R2L)^R2L) == R1L); 110 BOOST_CHECK(arith_uint256(ZeroL) == ZeroL); 111 BOOST_CHECK(arith_uint256(OneL) == OneL); 112 113 // uint64_t constructor 114 BOOST_CHECK((R1L & arith_uint256S("0xffffffffffffffff")) == arith_uint256(R1LLow64)); 115 BOOST_CHECK(ZeroL == arith_uint256(0)); 116 BOOST_CHECK(OneL == arith_uint256(1)); 117 BOOST_CHECK(arith_uint256S("0xffffffffffffffff") == arith_uint256(0xffffffffffffffffULL)); 118 119 // Assignment (from base_uint) 120 arith_uint256 tmpL = ~ZeroL; BOOST_CHECK(tmpL == ~ZeroL); 121 tmpL = ~OneL; BOOST_CHECK(tmpL == ~OneL); 122 tmpL = ~R1L; BOOST_CHECK(tmpL == ~R1L); 123 tmpL = ~R2L; BOOST_CHECK(tmpL == ~R2L); 124 tmpL = ~MaxL; BOOST_CHECK(tmpL == ~MaxL); 125 } 126 127 static void shiftArrayRight(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift) 128 { 129 for (unsigned int T=0; T < arrayLength; ++T) 130 { 131 unsigned int F = (T+bitsToShift/8); 132 if (F < arrayLength) 133 to[T] = uint8_t(from[F] >> (bitsToShift % 8)); 134 else 135 to[T] = 0; 136 if (F + 1 < arrayLength) 137 to[T] |= uint8_t(from[(F + 1)] << (8 - bitsToShift % 8)); 138 } 139 } 140 141 static void shiftArrayLeft(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift) 142 { 143 for (unsigned int T=0; T < arrayLength; ++T) 144 { 145 if (T >= bitsToShift/8) 146 { 147 unsigned int F = T-bitsToShift/8; 148 to[T] = uint8_t(from[F] << (bitsToShift % 8)); 149 if (T >= bitsToShift/8+1) 150 to[T] |= uint8_t(from[F - 1] >> (8 - bitsToShift % 8)); 151 } 152 else { 153 to[T] = 0; 154 } 155 } 156 } 157 158 BOOST_AUTO_TEST_CASE( shifts ) { // "<<" ">>" "<<=" ">>=" 159 unsigned char TmpArray[32]; 160 arith_uint256 TmpL; 161 for (unsigned int i = 0; i < 256; ++i) 162 { 163 shiftArrayLeft(TmpArray, OneArray, 32, i); 164 BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (OneL << i)); 165 TmpL = OneL; TmpL <<= i; 166 BOOST_CHECK(TmpL == (OneL << i)); 167 BOOST_CHECK((HalfL >> (255-i)) == (OneL << i)); 168 TmpL = HalfL; TmpL >>= (255-i); 169 BOOST_CHECK(TmpL == (OneL << i)); 170 171 shiftArrayLeft(TmpArray, R1Array, 32, i); 172 BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L << i)); 173 TmpL = R1L; TmpL <<= i; 174 BOOST_CHECK(TmpL == (R1L << i)); 175 176 shiftArrayRight(TmpArray, R1Array, 32, i); 177 BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L >> i)); 178 TmpL = R1L; TmpL >>= i; 179 BOOST_CHECK(TmpL == (R1L >> i)); 180 181 shiftArrayLeft(TmpArray, MaxArray, 32, i); 182 BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL << i)); 183 TmpL = MaxL; TmpL <<= i; 184 BOOST_CHECK(TmpL == (MaxL << i)); 185 186 shiftArrayRight(TmpArray, MaxArray, 32, i); 187 BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL >> i)); 188 TmpL = MaxL; TmpL >>= i; 189 BOOST_CHECK(TmpL == (MaxL >> i)); 190 } 191 arith_uint256 c1L = arith_uint256(0x0123456789abcdefULL); 192 arith_uint256 c2L = c1L << 128; 193 for (unsigned int i = 0; i < 128; ++i) { 194 BOOST_CHECK((c1L << i) == (c2L >> (128-i))); 195 } 196 for (unsigned int i = 128; i < 256; ++i) { 197 BOOST_CHECK((c1L << i) == (c2L << (i-128))); 198 } 199 } 200 201 BOOST_AUTO_TEST_CASE( unaryOperators ) // ! ~ - 202 { 203 BOOST_CHECK(~ZeroL == MaxL); 204 205 unsigned char TmpArray[32]; 206 for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = uint8_t(~R1Array[i]); } 207 BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (~R1L)); 208 209 BOOST_CHECK(-ZeroL == ZeroL); 210 BOOST_CHECK(-R1L == (~R1L)+1); 211 for (unsigned int i = 0; i < 256; ++i) 212 BOOST_CHECK(-(OneL<<i) == (MaxL << i)); 213 } 214 215 216 // Check if doing _A_ _OP_ _B_ results in the same as applying _OP_ onto each 217 // element of Aarray and Barray, and then converting the result into an arith_uint256. 218 #define CHECKBITWISEOPERATOR(_A_,_B_,_OP_) \ 219 for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = uint8_t(_A_##Array[i] _OP_ _B_##Array[i]); } \ 220 BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (_A_##L _OP_ _B_##L)); 221 222 #define CHECKASSIGNMENTOPERATOR(_A_,_B_,_OP_) \ 223 TmpL = _A_##L; TmpL _OP_##= _B_##L; BOOST_CHECK(TmpL == (_A_##L _OP_ _B_##L)); 224 225 BOOST_AUTO_TEST_CASE( bitwiseOperators ) 226 { 227 unsigned char TmpArray[32]; 228 229 CHECKBITWISEOPERATOR(R1,R2,|) 230 CHECKBITWISEOPERATOR(R1,R2,^) 231 CHECKBITWISEOPERATOR(R1,R2,&) 232 CHECKBITWISEOPERATOR(R1,Zero,|) 233 CHECKBITWISEOPERATOR(R1,Zero,^) 234 CHECKBITWISEOPERATOR(R1,Zero,&) 235 CHECKBITWISEOPERATOR(R1,Max,|) 236 CHECKBITWISEOPERATOR(R1,Max,^) 237 CHECKBITWISEOPERATOR(R1,Max,&) 238 CHECKBITWISEOPERATOR(Zero,R1,|) 239 CHECKBITWISEOPERATOR(Zero,R1,^) 240 CHECKBITWISEOPERATOR(Zero,R1,&) 241 CHECKBITWISEOPERATOR(Max,R1,|) 242 CHECKBITWISEOPERATOR(Max,R1,^) 243 CHECKBITWISEOPERATOR(Max,R1,&) 244 245 arith_uint256 TmpL; 246 CHECKASSIGNMENTOPERATOR(R1,R2,|) 247 CHECKASSIGNMENTOPERATOR(R1,R2,^) 248 CHECKASSIGNMENTOPERATOR(R1,R2,&) 249 CHECKASSIGNMENTOPERATOR(R1,Zero,|) 250 CHECKASSIGNMENTOPERATOR(R1,Zero,^) 251 CHECKASSIGNMENTOPERATOR(R1,Zero,&) 252 CHECKASSIGNMENTOPERATOR(R1,Max,|) 253 CHECKASSIGNMENTOPERATOR(R1,Max,^) 254 CHECKASSIGNMENTOPERATOR(R1,Max,&) 255 CHECKASSIGNMENTOPERATOR(Zero,R1,|) 256 CHECKASSIGNMENTOPERATOR(Zero,R1,^) 257 CHECKASSIGNMENTOPERATOR(Zero,R1,&) 258 CHECKASSIGNMENTOPERATOR(Max,R1,|) 259 CHECKASSIGNMENTOPERATOR(Max,R1,^) 260 CHECKASSIGNMENTOPERATOR(Max,R1,&) 261 262 uint64_t Tmp64 = 0xe1db685c9a0b47a2ULL; 263 TmpL = R1L; TmpL |= Tmp64; BOOST_CHECK(TmpL == (R1L | arith_uint256(Tmp64))); 264 TmpL = R1L; TmpL |= 0; BOOST_CHECK(TmpL == R1L); 265 TmpL ^= 0; BOOST_CHECK(TmpL == R1L); 266 TmpL ^= Tmp64; BOOST_CHECK(TmpL == (R1L ^ arith_uint256(Tmp64))); 267 } 268 269 BOOST_AUTO_TEST_CASE( comparison ) // <= >= < > 270 { 271 arith_uint256 TmpL; 272 for (unsigned int i = 0; i < 256; ++i) { 273 TmpL= OneL<< i; 274 BOOST_CHECK( TmpL >= ZeroL && TmpL > ZeroL && ZeroL < TmpL && ZeroL <= TmpL); 275 BOOST_CHECK( TmpL >= 0 && TmpL > 0 && 0 < TmpL && 0 <= TmpL); 276 TmpL |= R1L; 277 BOOST_CHECK( TmpL >= R1L ); BOOST_CHECK( (TmpL == R1L) != (TmpL > R1L)); BOOST_CHECK( (TmpL == R1L) || !( TmpL <= R1L)); 278 BOOST_CHECK( R1L <= TmpL ); BOOST_CHECK( (R1L == TmpL) != (R1L < TmpL)); BOOST_CHECK( (TmpL == R1L) || !( R1L >= TmpL)); 279 BOOST_CHECK(! (TmpL < R1L)); BOOST_CHECK(! (R1L > TmpL)); 280 } 281 } 282 283 BOOST_AUTO_TEST_CASE( plusMinus ) 284 { 285 arith_uint256 TmpL = 0; 286 BOOST_CHECK(R1L + R2L == arith_uint256S(R1LplusR2L)); 287 TmpL += R1L; 288 BOOST_CHECK(TmpL == R1L); 289 TmpL += R2L; 290 BOOST_CHECK(TmpL == R1L + R2L); 291 BOOST_CHECK(OneL+MaxL == ZeroL); 292 BOOST_CHECK(MaxL+OneL == ZeroL); 293 for (unsigned int i = 1; i < 256; ++i) { 294 BOOST_CHECK( (MaxL >> i) + OneL == (HalfL >> (i-1)) ); 295 BOOST_CHECK( OneL + (MaxL >> i) == (HalfL >> (i-1)) ); 296 TmpL = (MaxL>>i); TmpL += OneL; 297 BOOST_CHECK( TmpL == (HalfL >> (i-1)) ); 298 TmpL = (MaxL>>i); TmpL += 1; 299 BOOST_CHECK( TmpL == (HalfL >> (i-1)) ); 300 TmpL = (MaxL>>i); 301 BOOST_CHECK( TmpL++ == (MaxL>>i) ); 302 BOOST_CHECK( TmpL == (HalfL >> (i-1))); 303 } 304 BOOST_CHECK(arith_uint256(0xbedc77e27940a7ULL) + 0xee8d836fce66fbULL == arith_uint256(0xbedc77e27940a7ULL + 0xee8d836fce66fbULL)); 305 TmpL = arith_uint256(0xbedc77e27940a7ULL); TmpL += 0xee8d836fce66fbULL; 306 BOOST_CHECK(TmpL == arith_uint256(0xbedc77e27940a7ULL+0xee8d836fce66fbULL)); 307 TmpL -= 0xee8d836fce66fbULL; BOOST_CHECK(TmpL == 0xbedc77e27940a7ULL); 308 TmpL = R1L; 309 BOOST_CHECK(++TmpL == R1L+1); 310 311 BOOST_CHECK(R1L -(-R2L) == R1L+R2L); 312 BOOST_CHECK(R1L -(-OneL) == R1L+OneL); 313 BOOST_CHECK(R1L - OneL == R1L+(-OneL)); 314 for (unsigned int i = 1; i < 256; ++i) { 315 BOOST_CHECK((MaxL>>i) - (-OneL) == (HalfL >> (i-1))); 316 BOOST_CHECK((HalfL >> (i-1)) - OneL == (MaxL>>i)); 317 TmpL = (HalfL >> (i-1)); 318 BOOST_CHECK(TmpL-- == (HalfL >> (i-1))); 319 BOOST_CHECK(TmpL == (MaxL >> i)); 320 TmpL = (HalfL >> (i-1)); 321 BOOST_CHECK(--TmpL == (MaxL >> i)); 322 } 323 TmpL = R1L; 324 BOOST_CHECK(--TmpL == R1L-1); 325 } 326 327 BOOST_AUTO_TEST_CASE( multiply ) 328 { 329 BOOST_CHECK((R1L * R1L).ToString() == "62a38c0486f01e45879d7910a7761bf30d5237e9873f9bff3642a732c4d84f10"); 330 BOOST_CHECK((R1L * R2L).ToString() == "de37805e9986996cfba76ff6ba51c008df851987d9dd323f0e5de07760529c40"); 331 BOOST_CHECK((R1L * ZeroL) == ZeroL); 332 BOOST_CHECK((R1L * OneL) == R1L); 333 BOOST_CHECK((R1L * MaxL) == -R1L); 334 BOOST_CHECK((R2L * R1L) == (R1L * R2L)); 335 BOOST_CHECK((R2L * R2L).ToString() == "ac8c010096767d3cae5005dec28bb2b45a1d85ab7996ccd3e102a650f74ff100"); 336 BOOST_CHECK((R2L * ZeroL) == ZeroL); 337 BOOST_CHECK((R2L * OneL) == R2L); 338 BOOST_CHECK((R2L * MaxL) == -R2L); 339 340 BOOST_CHECK(MaxL * MaxL == OneL); 341 342 BOOST_CHECK((R1L * 0) == 0); 343 BOOST_CHECK((R1L * 1) == R1L); 344 BOOST_CHECK((R1L * 3).ToString() == "7759b1c0ed14047f961ad09b20ff83687876a0181a367b813634046f91def7d4"); 345 BOOST_CHECK((R2L * 0x87654321UL).ToString() == "23f7816e30c4ae2017257b7a0fa64d60402f5234d46e746b61c960d09a26d070"); 346 } 347 348 BOOST_AUTO_TEST_CASE( divide ) 349 { 350 arith_uint256 D1L{arith_uint256S("AD7133AC1977FA2B7")}; 351 arith_uint256 D2L{arith_uint256S("ECD751716")}; 352 BOOST_CHECK((R1L / D1L).ToString() == "00000000000000000b8ac01106981635d9ed112290f8895545a7654dde28fb3a"); 353 BOOST_CHECK((R1L / D2L).ToString() == "000000000873ce8efec5b67150bad3aa8c5fcb70e947586153bf2cec7c37c57a"); 354 BOOST_CHECK(R1L / OneL == R1L); 355 BOOST_CHECK(R1L / MaxL == ZeroL); 356 BOOST_CHECK(MaxL / R1L == 2); 357 BOOST_CHECK_THROW(R1L / ZeroL, uint_error); 358 BOOST_CHECK((R2L / D1L).ToString() == "000000000000000013e1665895a1cc981de6d93670105a6b3ec3b73141b3a3c5"); 359 BOOST_CHECK((R2L / D2L).ToString() == "000000000e8f0abe753bb0afe2e9437ee85d280be60882cf0bd1aaf7fa3cc2c4"); 360 BOOST_CHECK(R2L / OneL == R2L); 361 BOOST_CHECK(R2L / MaxL == ZeroL); 362 BOOST_CHECK(MaxL / R2L == 1); 363 BOOST_CHECK_THROW(R2L / ZeroL, uint_error); 364 } 365 366 367 static bool almostEqual(double d1, double d2) 368 { 369 return fabs(d1-d2) <= 4*fabs(d1)*std::numeric_limits<double>::epsilon(); 370 } 371 372 BOOST_AUTO_TEST_CASE(methods) // GetHex operator= size() GetLow64 GetSerializeSize, Serialize, Unserialize 373 { 374 BOOST_CHECK(R1L.GetHex() == R1L.ToString()); 375 BOOST_CHECK(R2L.GetHex() == R2L.ToString()); 376 BOOST_CHECK(OneL.GetHex() == OneL.ToString()); 377 BOOST_CHECK(MaxL.GetHex() == MaxL.ToString()); 378 arith_uint256 TmpL(R1L); 379 BOOST_CHECK(TmpL == R1L); 380 TmpL = R2L; 381 BOOST_CHECK(TmpL == R2L); 382 TmpL = ZeroL; 383 BOOST_CHECK(TmpL == 0); 384 TmpL = HalfL; 385 BOOST_CHECK(TmpL == HalfL); 386 387 TmpL = R1L; 388 BOOST_CHECK(R1L.size() == 32); 389 BOOST_CHECK(R2L.size() == 32); 390 BOOST_CHECK(ZeroL.size() == 32); 391 BOOST_CHECK(MaxL.size() == 32); 392 BOOST_CHECK(R1L.GetLow64() == R1LLow64); 393 BOOST_CHECK(HalfL.GetLow64() ==0x0000000000000000ULL); 394 BOOST_CHECK(OneL.GetLow64() ==0x0000000000000001ULL); 395 396 for (unsigned int i = 0; i < 255; ++i) 397 { 398 BOOST_CHECK((OneL << i).getdouble() == ldexp(1.0,i)); 399 } 400 BOOST_CHECK(ZeroL.getdouble() == 0.0); 401 for (int i = 256; i > 53; --i) 402 BOOST_CHECK(almostEqual((R1L>>(256-i)).getdouble(), ldexp(R1Ldouble,i))); 403 uint64_t R1L64part = (R1L>>192).GetLow64(); 404 for (int i = 53; i > 0; --i) // doubles can store all integers in {0,...,2^54-1} exactly 405 { 406 BOOST_CHECK((R1L>>(256-i)).getdouble() == (double)(R1L64part >> (64-i))); 407 } 408 } 409 410 BOOST_AUTO_TEST_CASE(bignum_SetCompact) 411 { 412 arith_uint256 num; 413 bool fNegative; 414 bool fOverflow; 415 num.SetCompact(0, &fNegative, &fOverflow); 416 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 417 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 418 BOOST_CHECK_EQUAL(fNegative, false); 419 BOOST_CHECK_EQUAL(fOverflow, false); 420 421 num.SetCompact(0x00123456, &fNegative, &fOverflow); 422 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 423 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 424 BOOST_CHECK_EQUAL(fNegative, false); 425 BOOST_CHECK_EQUAL(fOverflow, false); 426 427 num.SetCompact(0x01003456, &fNegative, &fOverflow); 428 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 429 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 430 BOOST_CHECK_EQUAL(fNegative, false); 431 BOOST_CHECK_EQUAL(fOverflow, false); 432 433 num.SetCompact(0x02000056, &fNegative, &fOverflow); 434 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 435 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 436 BOOST_CHECK_EQUAL(fNegative, false); 437 BOOST_CHECK_EQUAL(fOverflow, false); 438 439 num.SetCompact(0x03000000, &fNegative, &fOverflow); 440 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 441 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 442 BOOST_CHECK_EQUAL(fNegative, false); 443 BOOST_CHECK_EQUAL(fOverflow, false); 444 445 num.SetCompact(0x04000000, &fNegative, &fOverflow); 446 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 447 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 448 BOOST_CHECK_EQUAL(fNegative, false); 449 BOOST_CHECK_EQUAL(fOverflow, false); 450 451 num.SetCompact(0x00923456, &fNegative, &fOverflow); 452 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 453 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 454 BOOST_CHECK_EQUAL(fNegative, false); 455 BOOST_CHECK_EQUAL(fOverflow, false); 456 457 num.SetCompact(0x01803456, &fNegative, &fOverflow); 458 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 459 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 460 BOOST_CHECK_EQUAL(fNegative, false); 461 BOOST_CHECK_EQUAL(fOverflow, false); 462 463 num.SetCompact(0x02800056, &fNegative, &fOverflow); 464 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 465 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 466 BOOST_CHECK_EQUAL(fNegative, false); 467 BOOST_CHECK_EQUAL(fOverflow, false); 468 469 num.SetCompact(0x03800000, &fNegative, &fOverflow); 470 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 471 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 472 BOOST_CHECK_EQUAL(fNegative, false); 473 BOOST_CHECK_EQUAL(fOverflow, false); 474 475 num.SetCompact(0x04800000, &fNegative, &fOverflow); 476 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000"); 477 BOOST_CHECK_EQUAL(num.GetCompact(), 0U); 478 BOOST_CHECK_EQUAL(fNegative, false); 479 BOOST_CHECK_EQUAL(fOverflow, false); 480 481 num.SetCompact(0x01123456, &fNegative, &fOverflow); 482 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000012"); 483 BOOST_CHECK_EQUAL(num.GetCompact(), 0x01120000U); 484 BOOST_CHECK_EQUAL(fNegative, false); 485 BOOST_CHECK_EQUAL(fOverflow, false); 486 487 // Make sure that we don't generate compacts with the 0x00800000 bit set 488 num = 0x80; 489 BOOST_CHECK_EQUAL(num.GetCompact(), 0x02008000U); 490 491 num.SetCompact(0x01fedcba, &fNegative, &fOverflow); 492 BOOST_CHECK_EQUAL(num.GetHex(), "000000000000000000000000000000000000000000000000000000000000007e"); 493 BOOST_CHECK_EQUAL(num.GetCompact(true), 0x01fe0000U); 494 BOOST_CHECK_EQUAL(fNegative, true); 495 BOOST_CHECK_EQUAL(fOverflow, false); 496 497 num.SetCompact(0x02123456, &fNegative, &fOverflow); 498 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000001234"); 499 BOOST_CHECK_EQUAL(num.GetCompact(), 0x02123400U); 500 BOOST_CHECK_EQUAL(fNegative, false); 501 BOOST_CHECK_EQUAL(fOverflow, false); 502 503 num.SetCompact(0x03123456, &fNegative, &fOverflow); 504 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000123456"); 505 BOOST_CHECK_EQUAL(num.GetCompact(), 0x03123456U); 506 BOOST_CHECK_EQUAL(fNegative, false); 507 BOOST_CHECK_EQUAL(fOverflow, false); 508 509 num.SetCompact(0x04123456, &fNegative, &fOverflow); 510 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600"); 511 BOOST_CHECK_EQUAL(num.GetCompact(), 0x04123456U); 512 BOOST_CHECK_EQUAL(fNegative, false); 513 BOOST_CHECK_EQUAL(fOverflow, false); 514 515 num.SetCompact(0x04923456, &fNegative, &fOverflow); 516 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600"); 517 BOOST_CHECK_EQUAL(num.GetCompact(true), 0x04923456U); 518 BOOST_CHECK_EQUAL(fNegative, true); 519 BOOST_CHECK_EQUAL(fOverflow, false); 520 521 num.SetCompact(0x05009234, &fNegative, &fOverflow); 522 BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000092340000"); 523 BOOST_CHECK_EQUAL(num.GetCompact(), 0x05009234U); 524 BOOST_CHECK_EQUAL(fNegative, false); 525 BOOST_CHECK_EQUAL(fOverflow, false); 526 527 num.SetCompact(0x20123456, &fNegative, &fOverflow); 528 BOOST_CHECK_EQUAL(num.GetHex(), "1234560000000000000000000000000000000000000000000000000000000000"); 529 BOOST_CHECK_EQUAL(num.GetCompact(), 0x20123456U); 530 BOOST_CHECK_EQUAL(fNegative, false); 531 BOOST_CHECK_EQUAL(fOverflow, false); 532 533 num.SetCompact(0xff123456, &fNegative, &fOverflow); 534 BOOST_CHECK_EQUAL(fNegative, false); 535 BOOST_CHECK_EQUAL(fOverflow, true); 536 } 537 538 539 BOOST_AUTO_TEST_CASE( getmaxcoverage ) // some more tests just to get 100% coverage 540 { 541 // ~R1L give a base_uint<256> 542 BOOST_CHECK((~~R1L >> 10) == (R1L >> 10)); 543 BOOST_CHECK((~~R1L << 10) == (R1L << 10)); 544 BOOST_CHECK(!(~~R1L < R1L)); 545 BOOST_CHECK(~~R1L <= R1L); 546 BOOST_CHECK(!(~~R1L > R1L)); 547 BOOST_CHECK(~~R1L >= R1L); 548 BOOST_CHECK(!(R1L < ~~R1L)); 549 BOOST_CHECK(R1L <= ~~R1L); 550 BOOST_CHECK(!(R1L > ~~R1L)); 551 BOOST_CHECK(R1L >= ~~R1L); 552 553 BOOST_CHECK(~~R1L + R2L == R1L + ~~R2L); 554 BOOST_CHECK(~~R1L - R2L == R1L - ~~R2L); 555 BOOST_CHECK(~R1L != R1L); BOOST_CHECK(R1L != ~R1L); 556 unsigned char TmpArray[32]; 557 CHECKBITWISEOPERATOR(~R1,R2,|) 558 CHECKBITWISEOPERATOR(~R1,R2,^) 559 CHECKBITWISEOPERATOR(~R1,R2,&) 560 CHECKBITWISEOPERATOR(R1,~R2,|) 561 CHECKBITWISEOPERATOR(R1,~R2,^) 562 CHECKBITWISEOPERATOR(R1,~R2,&) 563 } 564 565 BOOST_AUTO_TEST_SUITE_END()