src/test/arith_uint256_tests.cpp

   1 // Copyright (c) 2011-2016 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 <boost/test/unit_test.hpp>
   6 #include <stdint.h>
   7 #include <sstream>
   8 #include <iomanip>
   9 #include <limits>
  10 #include <cmath>
  11 #include "uint256.h"
  12 #include "arith_uint256.h"
  13 #include <string>
  14 #include "version.h"
  15 #include "test/test_bitcoin.h"
  16
  17 BOOST_FIXTURE_TEST_SUITE(arith_uint256_tests, BasicTestingSetup)
  18
  19 /// Convert vector to arith_uint256, via uint256 blob
  20 inline arith_uint256 arith_uint256V(const std::vector<unsigned char>& vch)
  21 {
  22     return UintToArith256(uint256(vch));
  23 }
  24
  25 const unsigned char R1Array[] =
  26     "\x9c\x52\x4a\xdb\xcf\x56\x11\x12\x2b\x29\x12\x5e\x5d\x35\xd2\xd2"
  27     "\x22\x81\xaa\xb5\x33\xf0\x08\x32\xd5\x56\xb1\xf9\xea\xe5\x1d\x7d";
  28 const char R1ArrayHex[] = "7D1DE5EAF9B156D53208F033B5AA8122D2d2355d5e12292b121156cfdb4a529c";
  29 const double R1Ldouble = 0.4887374590559308955; // R1L equals roughly R1Ldouble * 2^256
  30 const arith_uint256 R1L = arith_uint256V(std::vector<unsigned char>(R1Array,R1Array+32));
  31 const uint64_t R1LLow64 = 0x121156cfdb4a529cULL;
  32
  33 const unsigned char R2Array[] =
  34     "\x70\x32\x1d\x7c\x47\xa5\x6b\x40\x26\x7e\x0a\xc3\xa6\x9c\xb6\xbf"
  35     "\x13\x30\x47\xa3\x19\x2d\xda\x71\x49\x13\x72\xf0\xb4\xca\x81\xd7";
  36 const arith_uint256 R2L = arith_uint256V(std::vector<unsigned char>(R2Array,R2Array+32));
  37
  38 const char R1LplusR2L[] = "549FB09FEA236A1EA3E31D4D58F1B1369288D204211CA751527CFC175767850C";
  39
  40 const unsigned char ZeroArray[] =
  41     "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
  42     "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00";
  43 const arith_uint256 ZeroL = arith_uint256V(std::vector<unsigned char>(ZeroArray,ZeroArray+32));
  44
  45 const unsigned char OneArray[] =
  46     "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
  47     "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00";
  48 const arith_uint256 OneL = arith_uint256V(std::vector<unsigned char>(OneArray,OneArray+32));
  49
  50 const unsigned char MaxArray[] =
  51     "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
  52     "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff";
  53 const arith_uint256 MaxL = arith_uint256V(std::vector<unsigned char>(MaxArray,MaxArray+32));
  54
  55 const arith_uint256 HalfL = (OneL << 255);
  56 std::string ArrayToString(const unsigned char A[], unsigned int width)
  57 {
  58     std::stringstream Stream;
  59     Stream << std::hex;
  60     for (unsigned int i = 0; i < width; ++i)
  61     {
  62         Stream<<std::setw(2)<<std::setfill('0')<<(unsigned int)A[width-i-1];
  63     }
  64     return Stream.str();
  65 }
  66
  67 BOOST_AUTO_TEST_CASE( basics ) // constructors, equality, inequality
  68 {
  69     BOOST_CHECK(1 == 0+1);
  70     // constructor arith_uint256(vector<char>):
  71     BOOST_CHECK(R1L.ToString() == ArrayToString(R1Array,32));
  72     BOOST_CHECK(R2L.ToString() == ArrayToString(R2Array,32));
  73     BOOST_CHECK(ZeroL.ToString() == ArrayToString(ZeroArray,32));
  74     BOOST_CHECK(OneL.ToString() == ArrayToString(OneArray,32));
  75     BOOST_CHECK(MaxL.ToString() == ArrayToString(MaxArray,32));
  76     BOOST_CHECK(OneL.ToString() != ArrayToString(ZeroArray,32));
  77
  78     // == and !=
  79     BOOST_CHECK(R1L != R2L);
  80     BOOST_CHECK(ZeroL != OneL);
  81     BOOST_CHECK(OneL != ZeroL);
  82     BOOST_CHECK(MaxL != ZeroL);
  83     BOOST_CHECK(~MaxL == ZeroL);
  84     BOOST_CHECK( ((R1L ^ R2L) ^ R1L) == R2L);
  85
  86     uint64_t Tmp64 = 0xc4dab720d9c7acaaULL;
  87     for (unsigned int i = 0; i < 256; ++i)
  88     {
  89         BOOST_CHECK(ZeroL != (OneL << i));
  90         BOOST_CHECK((OneL << i) != ZeroL);
  91         BOOST_CHECK(R1L != (R1L ^ (OneL << i)));
  92         BOOST_CHECK(((arith_uint256(Tmp64) ^ (OneL << i) ) != Tmp64 ));
  93     }
  94     BOOST_CHECK(ZeroL == (OneL << 256));
  95
  96     // String Constructor and Copy Constructor
  97     BOOST_CHECK(arith_uint256("0x"+R1L.ToString()) == R1L);
  98     BOOST_CHECK(arith_uint256("0x"+R2L.ToString()) == R2L);
  99     BOOST_CHECK(arith_uint256("0x"+ZeroL.ToString()) == ZeroL);
 100     BOOST_CHECK(arith_uint256("0x"+OneL.ToString()) == OneL);
 101     BOOST_CHECK(arith_uint256("0x"+MaxL.ToString()) == MaxL);
 102     BOOST_CHECK(arith_uint256(R1L.ToString()) == R1L);
 103     BOOST_CHECK(arith_uint256("   0x"+R1L.ToString()+"   ") == R1L);
 104     BOOST_CHECK(arith_uint256("") == ZeroL);
 105     BOOST_CHECK(R1L == arith_uint256(R1ArrayHex));
 106     BOOST_CHECK(arith_uint256(R1L) == R1L);
 107     BOOST_CHECK((arith_uint256(R1L^R2L)^R2L) == R1L);
 108     BOOST_CHECK(arith_uint256(ZeroL) == ZeroL);
 109     BOOST_CHECK(arith_uint256(OneL) == OneL);
 110
 111     // uint64_t constructor
 112     BOOST_CHECK( (R1L & arith_uint256("0xffffffffffffffff")) == arith_uint256(R1LLow64));
 113     BOOST_CHECK(ZeroL == arith_uint256(0));
 114     BOOST_CHECK(OneL == arith_uint256(1));
 115     BOOST_CHECK(arith_uint256("0xffffffffffffffff") == arith_uint256(0xffffffffffffffffULL));
 116
 117     // Assignment (from base_uint)
 118     arith_uint256 tmpL = ~ZeroL; BOOST_CHECK(tmpL == ~ZeroL);
 119     tmpL = ~OneL; BOOST_CHECK(tmpL == ~OneL);
 120     tmpL = ~R1L; BOOST_CHECK(tmpL == ~R1L);
 121     tmpL = ~R2L; BOOST_CHECK(tmpL == ~R2L);
 122     tmpL = ~MaxL; BOOST_CHECK(tmpL == ~MaxL);
 123 }
 124
 125 void shiftArrayRight(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift)
 126 {
 127     for (unsigned int T=0; T < arrayLength; ++T)
 128     {
 129         unsigned int F = (T+bitsToShift/8);
 130         if (F < arrayLength)
 131             to[T]  = from[F] >> (bitsToShift%8);
 132         else
 133             to[T] = 0;
 134         if (F + 1 < arrayLength)
 135             to[T] |= from[(F+1)] << (8-bitsToShift%8);
 136     }
 137 }
 138
 139 void shiftArrayLeft(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift)
 140 {
 141     for (unsigned int T=0; T < arrayLength; ++T)
 142     {
 143         if (T >= bitsToShift/8)
 144         {
 145             unsigned int F = T-bitsToShift/8;
 146             to[T]  = from[F] << (bitsToShift%8);
 147             if (T >= bitsToShift/8+1)
 148                 to[T] |= from[F-1] >> (8-bitsToShift%8);
 149         }
 150         else {
 151             to[T] = 0;
 152         }
 153     }
 154 }
 155
 156 BOOST_AUTO_TEST_CASE( shifts ) { // "<<"  ">>"  "<<="  ">>="
 157     unsigned char TmpArray[32];
 158     arith_uint256 TmpL;
 159     for (unsigned int i = 0; i < 256; ++i)
 160     {
 161         shiftArrayLeft(TmpArray, OneArray, 32, i);
 162         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (OneL << i));
 163         TmpL = OneL; TmpL <<= i;
 164         BOOST_CHECK(TmpL == (OneL << i));
 165         BOOST_CHECK((HalfL >> (255-i)) == (OneL << i));
 166         TmpL = HalfL; TmpL >>= (255-i);
 167         BOOST_CHECK(TmpL == (OneL << i));
 168
 169         shiftArrayLeft(TmpArray, R1Array, 32, i);
 170         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L << i));
 171         TmpL = R1L; TmpL <<= i;
 172         BOOST_CHECK(TmpL == (R1L << i));
 173
 174         shiftArrayRight(TmpArray, R1Array, 32, i);
 175         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L >> i));
 176         TmpL = R1L; TmpL >>= i;
 177         BOOST_CHECK(TmpL == (R1L >> i));
 178
 179         shiftArrayLeft(TmpArray, MaxArray, 32, i);
 180         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL << i));
 181         TmpL = MaxL; TmpL <<= i;
 182         BOOST_CHECK(TmpL == (MaxL << i));
 183
 184         shiftArrayRight(TmpArray, MaxArray, 32, i);
 185         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL >> i));
 186         TmpL = MaxL; TmpL >>= i;
 187         BOOST_CHECK(TmpL == (MaxL >> i));
 188     }
 189     arith_uint256 c1L = arith_uint256(0x0123456789abcdefULL);
 190     arith_uint256 c2L = c1L << 128;
 191     for (unsigned int i = 0; i < 128; ++i) {
 192         BOOST_CHECK((c1L << i) == (c2L >> (128-i)));
 193     }
 194     for (unsigned int i = 128; i < 256; ++i) {
 195         BOOST_CHECK((c1L << i) == (c2L << (i-128)));
 196     }
 197 }
 198
 199 BOOST_AUTO_TEST_CASE( unaryOperators ) // !    ~    -
 200 {
 201     BOOST_CHECK(!ZeroL);
 202     BOOST_CHECK(!(!OneL));
 203     for (unsigned int i = 0; i < 256; ++i)
 204         BOOST_CHECK(!(!(OneL<<i)));
 205     BOOST_CHECK(!(!R1L));
 206     BOOST_CHECK(!(!MaxL));
 207
 208     BOOST_CHECK(~ZeroL == MaxL);
 209
 210     unsigned char TmpArray[32];
 211     for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = ~R1Array[i]; }
 212     BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (~R1L));
 213
 214     BOOST_CHECK(-ZeroL == ZeroL);
 215     BOOST_CHECK(-R1L == (~R1L)+1);
 216     for (unsigned int i = 0; i < 256; ++i)
 217         BOOST_CHECK(-(OneL<<i) == (MaxL << i));
 218 }
 219
 220
 221 // Check if doing _A_ _OP_ _B_ results in the same as applying _OP_ onto each
 222 // element of Aarray and Barray, and then converting the result into an arith_uint256.
 223 #define CHECKBITWISEOPERATOR(_A_,_B_,_OP_)                              \
 224     for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = _A_##Array[i] _OP_ _B_##Array[i]; } \
 225     BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (_A_##L _OP_ _B_##L));
 226
 227 #define CHECKASSIGNMENTOPERATOR(_A_,_B_,_OP_)                           \
 228     TmpL = _A_##L; TmpL _OP_##= _B_##L; BOOST_CHECK(TmpL == (_A_##L _OP_ _B_##L));
 229
 230 BOOST_AUTO_TEST_CASE( bitwiseOperators )
 231 {
 232     unsigned char TmpArray[32];
 233
 234     CHECKBITWISEOPERATOR(R1,R2,|)
 235     CHECKBITWISEOPERATOR(R1,R2,^)
 236     CHECKBITWISEOPERATOR(R1,R2,&)
 237     CHECKBITWISEOPERATOR(R1,Zero,|)
 238     CHECKBITWISEOPERATOR(R1,Zero,^)
 239     CHECKBITWISEOPERATOR(R1,Zero,&)
 240     CHECKBITWISEOPERATOR(R1,Max,|)
 241     CHECKBITWISEOPERATOR(R1,Max,^)
 242     CHECKBITWISEOPERATOR(R1,Max,&)
 243     CHECKBITWISEOPERATOR(Zero,R1,|)
 244     CHECKBITWISEOPERATOR(Zero,R1,^)
 245     CHECKBITWISEOPERATOR(Zero,R1,&)
 246     CHECKBITWISEOPERATOR(Max,R1,|)
 247     CHECKBITWISEOPERATOR(Max,R1,^)
 248     CHECKBITWISEOPERATOR(Max,R1,&)
 249
 250     arith_uint256 TmpL;
 251     CHECKASSIGNMENTOPERATOR(R1,R2,|)
 252     CHECKASSIGNMENTOPERATOR(R1,R2,^)
 253     CHECKASSIGNMENTOPERATOR(R1,R2,&)
 254     CHECKASSIGNMENTOPERATOR(R1,Zero,|)
 255     CHECKASSIGNMENTOPERATOR(R1,Zero,^)
 256     CHECKASSIGNMENTOPERATOR(R1,Zero,&)
 257     CHECKASSIGNMENTOPERATOR(R1,Max,|)
 258     CHECKASSIGNMENTOPERATOR(R1,Max,^)
 259     CHECKASSIGNMENTOPERATOR(R1,Max,&)
 260     CHECKASSIGNMENTOPERATOR(Zero,R1,|)
 261     CHECKASSIGNMENTOPERATOR(Zero,R1,^)
 262     CHECKASSIGNMENTOPERATOR(Zero,R1,&)
 263     CHECKASSIGNMENTOPERATOR(Max,R1,|)
 264     CHECKASSIGNMENTOPERATOR(Max,R1,^)
 265     CHECKASSIGNMENTOPERATOR(Max,R1,&)
 266
 267     uint64_t Tmp64 = 0xe1db685c9a0b47a2ULL;
 268     TmpL = R1L; TmpL |= Tmp64;  BOOST_CHECK(TmpL == (R1L | arith_uint256(Tmp64)));
 269     TmpL = R1L; TmpL |= 0; BOOST_CHECK(TmpL == R1L);
 270     TmpL ^= 0; BOOST_CHECK(TmpL == R1L);
 271     TmpL ^= Tmp64;  BOOST_CHECK(TmpL == (R1L ^ arith_uint256(Tmp64)));
 272 }
 273
 274 BOOST_AUTO_TEST_CASE( comparison ) // <= >= < >
 275 {
 276     arith_uint256 TmpL;
 277     for (unsigned int i = 0; i < 256; ++i) {
 278         TmpL= OneL<< i;
 279         BOOST_CHECK( TmpL >= ZeroL && TmpL > ZeroL && ZeroL < TmpL && ZeroL <= TmpL);
 280         BOOST_CHECK( TmpL >= 0 && TmpL > 0 && 0 < TmpL && 0 <= TmpL);
 281         TmpL |= R1L;
 282         BOOST_CHECK( TmpL >= R1L ); BOOST_CHECK( (TmpL == R1L) != (TmpL > R1L)); BOOST_CHECK( (TmpL == R1L) || !( TmpL <= R1L));
 283         BOOST_CHECK( R1L <= TmpL ); BOOST_CHECK( (R1L == TmpL) != (R1L < TmpL)); BOOST_CHECK( (TmpL == R1L) || !( R1L >= TmpL));
 284         BOOST_CHECK(! (TmpL < R1L)); BOOST_CHECK(! (R1L > TmpL));
 285     }
 286 }
 287
 288 BOOST_AUTO_TEST_CASE( plusMinus )
 289 {
 290     arith_uint256 TmpL = 0;
 291     BOOST_CHECK(R1L+R2L == arith_uint256(R1LplusR2L));
 292     TmpL += R1L;
 293     BOOST_CHECK(TmpL == R1L);
 294     TmpL += R2L;
 295     BOOST_CHECK(TmpL == R1L + R2L);
 296     BOOST_CHECK(OneL+MaxL == ZeroL);
 297     BOOST_CHECK(MaxL+OneL == ZeroL);
 298     for (unsigned int i = 1; i < 256; ++i) {
 299         BOOST_CHECK( (MaxL >> i) + OneL == (HalfL >> (i-1)) );
 300         BOOST_CHECK( OneL + (MaxL >> i) == (HalfL >> (i-1)) );
 301         TmpL = (MaxL>>i); TmpL += OneL;
 302         BOOST_CHECK( TmpL == (HalfL >> (i-1)) );
 303         TmpL = (MaxL>>i); TmpL += 1;
 304         BOOST_CHECK( TmpL == (HalfL >> (i-1)) );
 305         TmpL = (MaxL>>i);
 306         BOOST_CHECK( TmpL++ == (MaxL>>i) );
 307         BOOST_CHECK( TmpL == (HalfL >> (i-1)));
 308     }
 309     BOOST_CHECK(arith_uint256(0xbedc77e27940a7ULL) + 0xee8d836fce66fbULL == arith_uint256(0xbedc77e27940a7ULL + 0xee8d836fce66fbULL));
 310     TmpL = arith_uint256(0xbedc77e27940a7ULL); TmpL += 0xee8d836fce66fbULL;
 311     BOOST_CHECK(TmpL == arith_uint256(0xbedc77e27940a7ULL+0xee8d836fce66fbULL));
 312     TmpL -= 0xee8d836fce66fbULL;  BOOST_CHECK(TmpL == 0xbedc77e27940a7ULL);
 313     TmpL = R1L;
 314     BOOST_CHECK(++TmpL == R1L+1);
 315
 316     BOOST_CHECK(R1L -(-R2L) == R1L+R2L);
 317     BOOST_CHECK(R1L -(-OneL) == R1L+OneL);
 318     BOOST_CHECK(R1L - OneL == R1L+(-OneL));
 319     for (unsigned int i = 1; i < 256; ++i) {
 320         BOOST_CHECK((MaxL>>i) - (-OneL)  == (HalfL >> (i-1)));
 321         BOOST_CHECK((HalfL >> (i-1)) - OneL == (MaxL>>i));
 322         TmpL = (HalfL >> (i-1));
 323         BOOST_CHECK(TmpL-- == (HalfL >> (i-1)));
 324         BOOST_CHECK(TmpL == (MaxL >> i));
 325         TmpL = (HalfL >> (i-1));
 326         BOOST_CHECK(--TmpL == (MaxL >> i));
 327     }
 328     TmpL = R1L;
 329     BOOST_CHECK(--TmpL == R1L-1);
 330 }
 331
 332 BOOST_AUTO_TEST_CASE( multiply )
 333 {
 334     BOOST_CHECK((R1L * R1L).ToString() == "62a38c0486f01e45879d7910a7761bf30d5237e9873f9bff3642a732c4d84f10");
 335     BOOST_CHECK((R1L * R2L).ToString() == "de37805e9986996cfba76ff6ba51c008df851987d9dd323f0e5de07760529c40");
 336     BOOST_CHECK((R1L * ZeroL) == ZeroL);
 337     BOOST_CHECK((R1L * OneL) == R1L);
 338     BOOST_CHECK((R1L * MaxL) == -R1L);
 339     BOOST_CHECK((R2L * R1L) == (R1L * R2L));
 340     BOOST_CHECK((R2L * R2L).ToString() == "ac8c010096767d3cae5005dec28bb2b45a1d85ab7996ccd3e102a650f74ff100");
 341     BOOST_CHECK((R2L * ZeroL) == ZeroL);
 342     BOOST_CHECK((R2L * OneL) == R2L);
 343     BOOST_CHECK((R2L * MaxL) == -R2L);
 344
 345     BOOST_CHECK(MaxL * MaxL == OneL);
 346
 347     BOOST_CHECK((R1L * 0) == 0);
 348     BOOST_CHECK((R1L * 1) == R1L);
 349     BOOST_CHECK((R1L * 3).ToString() == "7759b1c0ed14047f961ad09b20ff83687876a0181a367b813634046f91def7d4");
 350     BOOST_CHECK((R2L * 0x87654321UL).ToString() == "23f7816e30c4ae2017257b7a0fa64d60402f5234d46e746b61c960d09a26d070");
 351 }
 352
 353 BOOST_AUTO_TEST_CASE( divide )
 354 {
 355     arith_uint256 D1L("AD7133AC1977FA2B7");
 356     arith_uint256 D2L("ECD751716");
 357     BOOST_CHECK((R1L / D1L).ToString() == "00000000000000000b8ac01106981635d9ed112290f8895545a7654dde28fb3a");
 358     BOOST_CHECK((R1L / D2L).ToString() == "000000000873ce8efec5b67150bad3aa8c5fcb70e947586153bf2cec7c37c57a");
 359     BOOST_CHECK(R1L / OneL == R1L);
 360     BOOST_CHECK(R1L / MaxL == ZeroL);
 361     BOOST_CHECK(MaxL / R1L == 2);
 362     BOOST_CHECK_THROW(R1L / ZeroL, uint_error);
 363     BOOST_CHECK((R2L / D1L).ToString() == "000000000000000013e1665895a1cc981de6d93670105a6b3ec3b73141b3a3c5");
 364     BOOST_CHECK((R2L / D2L).ToString() == "000000000e8f0abe753bb0afe2e9437ee85d280be60882cf0bd1aaf7fa3cc2c4");
 365     BOOST_CHECK(R2L / OneL == R2L);
 366     BOOST_CHECK(R2L / MaxL == ZeroL);
 367     BOOST_CHECK(MaxL / R2L == 1);
 368     BOOST_CHECK_THROW(R2L / ZeroL, uint_error);
 369 }
 370
 371
 372 bool almostEqual(double d1, double d2)
 373 {
 374     return fabs(d1-d2) <= 4*fabs(d1)*std::numeric_limits<double>::epsilon();
 375 }
 376
 377 BOOST_AUTO_TEST_CASE( methods ) // GetHex SetHex size() GetLow64 GetSerializeSize, Serialize, Unserialize
 378 {
 379     BOOST_CHECK(R1L.GetHex() == R1L.ToString());
 380     BOOST_CHECK(R2L.GetHex() == R2L.ToString());
 381     BOOST_CHECK(OneL.GetHex() == OneL.ToString());
 382     BOOST_CHECK(MaxL.GetHex() == MaxL.ToString());
 383     arith_uint256 TmpL(R1L);
 384     BOOST_CHECK(TmpL == R1L);
 385     TmpL.SetHex(R2L.ToString());   BOOST_CHECK(TmpL == R2L);
 386     TmpL.SetHex(ZeroL.ToString()); BOOST_CHECK(TmpL == 0);
 387     TmpL.SetHex(HalfL.ToString()); BOOST_CHECK(TmpL == HalfL);
 388
 389     TmpL.SetHex(R1L.ToString());
 390     BOOST_CHECK(R1L.size() == 32);
 391     BOOST_CHECK(R2L.size() == 32);
 392     BOOST_CHECK(ZeroL.size() == 32);
 393     BOOST_CHECK(MaxL.size() == 32);
 394     BOOST_CHECK(R1L.GetLow64()  == R1LLow64);
 395     BOOST_CHECK(HalfL.GetLow64() ==0x0000000000000000ULL);
 396     BOOST_CHECK(OneL.GetLow64() ==0x0000000000000001ULL);
 397
 398     for (unsigned int i = 0; i < 255; ++i)
 399     {
 400         BOOST_CHECK((OneL << i).getdouble() == ldexp(1.0,i));
 401     }
 402     BOOST_CHECK(ZeroL.getdouble() == 0.0);
 403     for (int i = 256; i > 53; --i)
 404         BOOST_CHECK(almostEqual((R1L>>(256-i)).getdouble(), ldexp(R1Ldouble,i)));
 405     uint64_t R1L64part = (R1L>>192).GetLow64();
 406     for (int i = 53; i > 0; --i) // doubles can store all integers in {0,...,2^54-1} exactly
 407     {
 408         BOOST_CHECK((R1L>>(256-i)).getdouble() == (double)(R1L64part >> (64-i)));
 409     }
 410 }
 411
 412 BOOST_AUTO_TEST_CASE(bignum_SetCompact)
 413 {
 414     arith_uint256 num;
 415     bool fNegative;
 416     bool fOverflow;
 417     num.SetCompact(0, &fNegative, &fOverflow);
 418     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 419     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 420     BOOST_CHECK_EQUAL(fNegative, false);
 421     BOOST_CHECK_EQUAL(fOverflow, false);
 422
 423     num.SetCompact(0x00123456, &fNegative, &fOverflow);
 424     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 425     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 426     BOOST_CHECK_EQUAL(fNegative, false);
 427     BOOST_CHECK_EQUAL(fOverflow, false);
 428
 429     num.SetCompact(0x01003456, &fNegative, &fOverflow);
 430     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 431     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 432     BOOST_CHECK_EQUAL(fNegative, false);
 433     BOOST_CHECK_EQUAL(fOverflow, false);
 434
 435     num.SetCompact(0x02000056, &fNegative, &fOverflow);
 436     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 437     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 438     BOOST_CHECK_EQUAL(fNegative, false);
 439     BOOST_CHECK_EQUAL(fOverflow, false);
 440
 441     num.SetCompact(0x03000000, &fNegative, &fOverflow);
 442     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 443     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 444     BOOST_CHECK_EQUAL(fNegative, false);
 445     BOOST_CHECK_EQUAL(fOverflow, false);
 446
 447     num.SetCompact(0x04000000, &fNegative, &fOverflow);
 448     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 449     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 450     BOOST_CHECK_EQUAL(fNegative, false);
 451     BOOST_CHECK_EQUAL(fOverflow, false);
 452
 453     num.SetCompact(0x00923456, &fNegative, &fOverflow);
 454     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 455     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 456     BOOST_CHECK_EQUAL(fNegative, false);
 457     BOOST_CHECK_EQUAL(fOverflow, false);
 458
 459     num.SetCompact(0x01803456, &fNegative, &fOverflow);
 460     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 461     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 462     BOOST_CHECK_EQUAL(fNegative, false);
 463     BOOST_CHECK_EQUAL(fOverflow, false);
 464
 465     num.SetCompact(0x02800056, &fNegative, &fOverflow);
 466     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 467     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 468     BOOST_CHECK_EQUAL(fNegative, false);
 469     BOOST_CHECK_EQUAL(fOverflow, false);
 470
 471     num.SetCompact(0x03800000, &fNegative, &fOverflow);
 472     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 473     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 474     BOOST_CHECK_EQUAL(fNegative, false);
 475     BOOST_CHECK_EQUAL(fOverflow, false);
 476
 477     num.SetCompact(0x04800000, &fNegative, &fOverflow);
 478     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
 479     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
 480     BOOST_CHECK_EQUAL(fNegative, false);
 481     BOOST_CHECK_EQUAL(fOverflow, false);
 482
 483     num.SetCompact(0x01123456, &fNegative, &fOverflow);
 484     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000012");
 485     BOOST_CHECK_EQUAL(num.GetCompact(), 0x01120000U);
 486     BOOST_CHECK_EQUAL(fNegative, false);
 487     BOOST_CHECK_EQUAL(fOverflow, false);
 488
 489     // Make sure that we don't generate compacts with the 0x00800000 bit set
 490     num = 0x80;
 491     BOOST_CHECK_EQUAL(num.GetCompact(), 0x02008000U);
 492
 493     num.SetCompact(0x01fedcba, &fNegative, &fOverflow);
 494     BOOST_CHECK_EQUAL(num.GetHex(), "000000000000000000000000000000000000000000000000000000000000007e");
 495     BOOST_CHECK_EQUAL(num.GetCompact(true), 0x01fe0000U);
 496     BOOST_CHECK_EQUAL(fNegative, true);
 497     BOOST_CHECK_EQUAL(fOverflow, false);
 498
 499     num.SetCompact(0x02123456, &fNegative, &fOverflow);
 500     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000001234");
 501     BOOST_CHECK_EQUAL(num.GetCompact(), 0x02123400U);
 502     BOOST_CHECK_EQUAL(fNegative, false);
 503     BOOST_CHECK_EQUAL(fOverflow, false);
 504
 505     num.SetCompact(0x03123456, &fNegative, &fOverflow);
 506     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000123456");
 507     BOOST_CHECK_EQUAL(num.GetCompact(), 0x03123456U);
 508     BOOST_CHECK_EQUAL(fNegative, false);
 509     BOOST_CHECK_EQUAL(fOverflow, false);
 510
 511     num.SetCompact(0x04123456, &fNegative, &fOverflow);
 512     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600");
 513     BOOST_CHECK_EQUAL(num.GetCompact(), 0x04123456U);
 514     BOOST_CHECK_EQUAL(fNegative, false);
 515     BOOST_CHECK_EQUAL(fOverflow, false);
 516
 517     num.SetCompact(0x04923456, &fNegative, &fOverflow);
 518     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600");
 519     BOOST_CHECK_EQUAL(num.GetCompact(true), 0x04923456U);
 520     BOOST_CHECK_EQUAL(fNegative, true);
 521     BOOST_CHECK_EQUAL(fOverflow, false);
 522
 523     num.SetCompact(0x05009234, &fNegative, &fOverflow);
 524     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000092340000");
 525     BOOST_CHECK_EQUAL(num.GetCompact(), 0x05009234U);
 526     BOOST_CHECK_EQUAL(fNegative, false);
 527     BOOST_CHECK_EQUAL(fOverflow, false);
 528
 529     num.SetCompact(0x20123456, &fNegative, &fOverflow);
 530     BOOST_CHECK_EQUAL(num.GetHex(), "1234560000000000000000000000000000000000000000000000000000000000");
 531     BOOST_CHECK_EQUAL(num.GetCompact(), 0x20123456U);
 532     BOOST_CHECK_EQUAL(fNegative, false);
 533     BOOST_CHECK_EQUAL(fOverflow, false);
 534
 535     num.SetCompact(0xff123456, &fNegative, &fOverflow);
 536     BOOST_CHECK_EQUAL(fNegative, false);
 537     BOOST_CHECK_EQUAL(fOverflow, true);
 538 }
 539
 540
 541 BOOST_AUTO_TEST_CASE( getmaxcoverage ) // some more tests just to get 100% coverage
 542 {
 543     // ~R1L give a base_uint<256>
 544     BOOST_CHECK((~~R1L >> 10) == (R1L >> 10));
 545     BOOST_CHECK((~~R1L << 10) == (R1L << 10));
 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     BOOST_CHECK(!(R1L > ~~R1L));
 553     BOOST_CHECK(R1L >= ~~R1L);
 554
 555     BOOST_CHECK(~~R1L + R2L == R1L + ~~R2L);
 556     BOOST_CHECK(~~R1L - R2L == R1L - ~~R2L);
 557     BOOST_CHECK(~R1L != R1L); BOOST_CHECK(R1L != ~R1L);
 558     unsigned char TmpArray[32];
 559     CHECKBITWISEOPERATOR(~R1,R2,|)
 560     CHECKBITWISEOPERATOR(~R1,R2,^)
 561     CHECKBITWISEOPERATOR(~R1,R2,&)
 562     CHECKBITWISEOPERATOR(R1,~R2,|)
 563     CHECKBITWISEOPERATOR(R1,~R2,^)
 564     CHECKBITWISEOPERATOR(R1,~R2,&)
 565 }
 566
 567 BOOST_AUTO_TEST_SUITE_END()