uint256->arith_uint256 blob256->uint256

Introduce new opaque implementation of `uint256`, move old
"arithmetic" implementation to `arith_uint256.

1 files changed, 836 insertions, 0 deletions

diff --git a/src/test/arith_uint256_tests.cpp b/src/test/arith_uint256_tests.cpp
new file mode 100644
index 0000000000..f5f71da614
--- /dev/null
+++ b/src/test/arith_uint256_tests.cpp
@@ -0,0 +1,836 @@
+// Copyright (c) 2011-2013 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <boost/test/unit_test.hpp>
+#include <stdint.h>
+#include <sstream>
+#include <iomanip>
+#include <limits>
+#include <cmath>
+#include "arith_uint256.h"
+#include <string>
+#include "version.h"
+
+BOOST_AUTO_TEST_SUITE(arith_uint256_tests)
+
+const unsigned char R1Array[] =
+    "\x9c\x52\x4a\xdb\xcf\x56\x11\x12\x2b\x29\x12\x5e\x5d\x35\xd2\xd2"
+    "\x22\x81\xaa\xb5\x33\xf0\x08\x32\xd5\x56\xb1\xf9\xea\xe5\x1d\x7d";
+const char R1ArrayHex[] = "7D1DE5EAF9B156D53208F033B5AA8122D2d2355d5e12292b121156cfdb4a529c";
+const double R1Ldouble = 0.4887374590559308955; // R1L equals roughly R1Ldouble * 2^256
+const double R1Sdouble = 0.7096329412477836074;
+const arith_uint256 R1L = arith_uint256(std::vector<unsigned char>(R1Array,R1Array+32));
+const arith_uint160 R1S = arith_uint160(std::vector<unsigned char>(R1Array,R1Array+20));
+const uint64_t R1LLow64 = 0x121156cfdb4a529cULL;
+
+const unsigned char R2Array[] =
+    "\x70\x32\x1d\x7c\x47\xa5\x6b\x40\x26\x7e\x0a\xc3\xa6\x9c\xb6\xbf"
+    "\x13\x30\x47\xa3\x19\x2d\xda\x71\x49\x13\x72\xf0\xb4\xca\x81\xd7";
+const arith_uint256 R2L = arith_uint256(std::vector<unsigned char>(R2Array,R2Array+32));
+const arith_uint160 R2S = arith_uint160(std::vector<unsigned char>(R2Array,R2Array+20));
+
+const char R1LplusR2L[] = "549FB09FEA236A1EA3E31D4D58F1B1369288D204211CA751527CFC175767850C";
+
+const unsigned char ZeroArray[] =
+    "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+    "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00";
+const arith_uint256 ZeroL = arith_uint256(std::vector<unsigned char>(ZeroArray,ZeroArray+32));
+const arith_uint160 ZeroS = arith_uint160(std::vector<unsigned char>(ZeroArray,ZeroArray+20));
+
+const unsigned char OneArray[] =
+    "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+    "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00";
+const arith_uint256 OneL = arith_uint256(std::vector<unsigned char>(OneArray,OneArray+32));
+const arith_uint160 OneS = arith_uint160(std::vector<unsigned char>(OneArray,OneArray+20));
+
+const unsigned char MaxArray[] =
+    "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+    "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff";
+const arith_uint256 MaxL = arith_uint256(std::vector<unsigned char>(MaxArray,MaxArray+32));
+const arith_uint160 MaxS = arith_uint160(std::vector<unsigned char>(MaxArray,MaxArray+20));
+
+const arith_uint256 HalfL = (OneL << 255);
+const arith_uint160 HalfS = (OneS << 159);
+std::string ArrayToString(const unsigned char A[], unsigned int width)
+{
+    std::stringstream Stream;
+    Stream << std::hex;
+    for (unsigned int i = 0; i < width; ++i)
+    {
+        Stream<<std::setw(2)<<std::setfill('0')<<(unsigned int)A[width-i-1];
+    }
+    return Stream.str();
+}
+
+BOOST_AUTO_TEST_CASE( basics ) // constructors, equality, inequality
+{
+    BOOST_CHECK(1 == 0+1);
+    // constructor arith_uint256(vector<char>):
+    BOOST_CHECK(R1L.ToString() == ArrayToString(R1Array,32));
+    BOOST_CHECK(R1S.ToString() == ArrayToString(R1Array,20));
+    BOOST_CHECK(R2L.ToString() == ArrayToString(R2Array,32));
+    BOOST_CHECK(R2S.ToString() == ArrayToString(R2Array,20));
+    BOOST_CHECK(ZeroL.ToString() == ArrayToString(ZeroArray,32));
+    BOOST_CHECK(ZeroS.ToString() == ArrayToString(ZeroArray,20));
+    BOOST_CHECK(OneL.ToString() == ArrayToString(OneArray,32));
+    BOOST_CHECK(OneS.ToString() == ArrayToString(OneArray,20));
+    BOOST_CHECK(MaxL.ToString() == ArrayToString(MaxArray,32));
+    BOOST_CHECK(MaxS.ToString() == ArrayToString(MaxArray,20));
+    BOOST_CHECK(OneL.ToString() != ArrayToString(ZeroArray,32));
+    BOOST_CHECK(OneS.ToString() != ArrayToString(ZeroArray,20));
+
+    // == and !=
+    BOOST_CHECK(R1L != R2L && R1S != R2S);
+    BOOST_CHECK(ZeroL != OneL && ZeroS != OneS);
+    BOOST_CHECK(OneL != ZeroL && OneS != ZeroS);
+    BOOST_CHECK(MaxL != ZeroL && MaxS != ZeroS);
+    BOOST_CHECK(~MaxL == ZeroL && ~MaxS == ZeroS);
+    BOOST_CHECK( ((R1L ^ R2L) ^ R1L) == R2L);
+    BOOST_CHECK( ((R1S ^ R2S) ^ R1S) == R2S);
+
+    uint64_t Tmp64 = 0xc4dab720d9c7acaaULL;
+    for (unsigned int i = 0; i < 256; ++i)
+    {
+        BOOST_CHECK(ZeroL != (OneL << i));
+        BOOST_CHECK((OneL << i) != ZeroL);
+        BOOST_CHECK(R1L != (R1L ^ (OneL << i)));
+        BOOST_CHECK(((arith_uint256(Tmp64) ^ (OneL << i) ) != Tmp64 ));
+    }
+    BOOST_CHECK(ZeroL == (OneL << 256));
+
+    for (unsigned int i = 0; i < 160; ++i)
+    {
+        BOOST_CHECK(ZeroS != (OneS << i));
+        BOOST_CHECK((OneS << i) != ZeroS);
+        BOOST_CHECK(R1S != (R1S ^ (OneS << i)));
+        BOOST_CHECK(((arith_uint160(Tmp64) ^ (OneS << i) ) != Tmp64 ));
+    }
+    BOOST_CHECK(ZeroS == (OneS << 256));
+
+    // String Constructor and Copy Constructor
+    BOOST_CHECK(arith_uint256("0x"+R1L.ToString()) == R1L);
+    BOOST_CHECK(arith_uint256("0x"+R2L.ToString()) == R2L);
+    BOOST_CHECK(arith_uint256("0x"+ZeroL.ToString()) == ZeroL);
+    BOOST_CHECK(arith_uint256("0x"+OneL.ToString()) == OneL);
+    BOOST_CHECK(arith_uint256("0x"+MaxL.ToString()) == MaxL);
+    BOOST_CHECK(arith_uint256(R1L.ToString()) == R1L);
+    BOOST_CHECK(arith_uint256("   0x"+R1L.ToString()+"   ") == R1L);
+    BOOST_CHECK(arith_uint256("") == ZeroL);
+    BOOST_CHECK(R1L == arith_uint256(R1ArrayHex));
+    BOOST_CHECK(arith_uint256(R1L) == R1L);
+    BOOST_CHECK((arith_uint256(R1L^R2L)^R2L) == R1L);
+    BOOST_CHECK(arith_uint256(ZeroL) == ZeroL);
+    BOOST_CHECK(arith_uint256(OneL) == OneL);
+
+    BOOST_CHECK(arith_uint160("0x"+R1S.ToString()) == R1S);
+    BOOST_CHECK(arith_uint160("0x"+R2S.ToString()) == R2S);
+    BOOST_CHECK(arith_uint160("0x"+ZeroS.ToString()) == ZeroS);
+    BOOST_CHECK(arith_uint160("0x"+OneS.ToString()) == OneS);
+    BOOST_CHECK(arith_uint160("0x"+MaxS.ToString()) == MaxS);
+    BOOST_CHECK(arith_uint160(R1S.ToString()) == R1S);
+    BOOST_CHECK(arith_uint160("   0x"+R1S.ToString()+"   ") == R1S);
+    BOOST_CHECK(arith_uint160("") == ZeroS);
+    BOOST_CHECK(R1S == arith_uint160(R1ArrayHex));
+
+    BOOST_CHECK(arith_uint160(R1S) == R1S);
+    BOOST_CHECK((arith_uint160(R1S^R2S)^R2S) == R1S);
+    BOOST_CHECK(arith_uint160(ZeroS) == ZeroS);
+    BOOST_CHECK(arith_uint160(OneS) == OneS);
+
+    // uint64_t constructor
+    BOOST_CHECK( (R1L & arith_uint256("0xffffffffffffffff")) == arith_uint256(R1LLow64));
+    BOOST_CHECK(ZeroL == arith_uint256(0));
+    BOOST_CHECK(OneL == arith_uint256(1));
+    BOOST_CHECK(arith_uint256("0xffffffffffffffff") = arith_uint256(0xffffffffffffffffULL));
+    BOOST_CHECK( (R1S & arith_uint160("0xffffffffffffffff")) == arith_uint160(R1LLow64));
+    BOOST_CHECK(ZeroS == arith_uint160(0));
+    BOOST_CHECK(OneS == arith_uint160(1));
+    BOOST_CHECK(arith_uint160("0xffffffffffffffff") = arith_uint160(0xffffffffffffffffULL));
+
+    // Assignment (from base_uint)
+    arith_uint256 tmpL = ~ZeroL; BOOST_CHECK(tmpL == ~ZeroL);
+    tmpL = ~OneL; BOOST_CHECK(tmpL == ~OneL);
+    tmpL = ~R1L; BOOST_CHECK(tmpL == ~R1L);
+    tmpL = ~R2L; BOOST_CHECK(tmpL == ~R2L);
+    tmpL = ~MaxL; BOOST_CHECK(tmpL == ~MaxL);
+    arith_uint160 tmpS = ~ZeroS; BOOST_CHECK(tmpS == ~ZeroS);
+    tmpS = ~OneS; BOOST_CHECK(tmpS == ~OneS);
+    tmpS = ~R1S; BOOST_CHECK(tmpS == ~R1S);
+    tmpS = ~R2S; BOOST_CHECK(tmpS == ~R2S);
+    tmpS = ~MaxS; BOOST_CHECK(tmpS == ~MaxS);
+
+    // Wrong length must throw exception.
+    BOOST_CHECK_THROW(arith_uint256(std::vector<unsigned char>(OneArray,OneArray+31)), uint_error);
+    BOOST_CHECK_THROW(arith_uint256(std::vector<unsigned char>(OneArray,OneArray+20)), uint_error);
+    BOOST_CHECK_THROW(arith_uint160(std::vector<unsigned char>(OneArray,OneArray+32)), uint_error);
+    BOOST_CHECK_THROW(arith_uint160(std::vector<unsigned char>(OneArray,OneArray+19)), uint_error);
+}
+
+void shiftArrayRight(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift)
+{
+    for (unsigned int T=0; T < arrayLength; ++T)
+    {
+        unsigned int F = (T+bitsToShift/8);
+        if (F < arrayLength)
+            to[T]  = from[F] >> (bitsToShift%8);
+        else
+            to[T] = 0;
+        if (F + 1 < arrayLength)
+            to[T] |= from[(F+1)] << (8-bitsToShift%8);
+    }
+}
+
+void shiftArrayLeft(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift)
+{
+    for (unsigned int T=0; T < arrayLength; ++T)
+    {
+        if (T >= bitsToShift/8)
+        {
+            unsigned int F = T-bitsToShift/8;
+            to[T]  = from[F] << (bitsToShift%8);
+            if (T >= bitsToShift/8+1)
+                to[T] |= from[F-1] >> (8-bitsToShift%8);
+        }
+        else {
+            to[T] = 0;
+        }
+    }
+}
+
+BOOST_AUTO_TEST_CASE( shifts ) { // "<<"  ">>"  "<<="  ">>="
+    unsigned char TmpArray[32];
+    arith_uint256 TmpL;
+    for (unsigned int i = 0; i < 256; ++i)
+    {
+        shiftArrayLeft(TmpArray, OneArray, 32, i);
+        BOOST_CHECK(arith_uint256(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (OneL << i));
+        TmpL = OneL; TmpL <<= i;
+        BOOST_CHECK(TmpL == (OneL << i));
+        BOOST_CHECK((HalfL >> (255-i)) == (OneL << i));
+        TmpL = HalfL; TmpL >>= (255-i);
+        BOOST_CHECK(TmpL == (OneL << i));
+
+        shiftArrayLeft(TmpArray, R1Array, 32, i);
+        BOOST_CHECK(arith_uint256(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L << i));
+        TmpL = R1L; TmpL <<= i;
+        BOOST_CHECK(TmpL == (R1L << i));
+
+        shiftArrayRight(TmpArray, R1Array, 32, i);
+        BOOST_CHECK(arith_uint256(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L >> i));
+        TmpL = R1L; TmpL >>= i;
+        BOOST_CHECK(TmpL == (R1L >> i));
+
+        shiftArrayLeft(TmpArray, MaxArray, 32, i);
+        BOOST_CHECK(arith_uint256(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL << i));
+        TmpL = MaxL; TmpL <<= i;
+        BOOST_CHECK(TmpL == (MaxL << i));
+
+        shiftArrayRight(TmpArray, MaxArray, 32, i);
+        BOOST_CHECK(arith_uint256(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL >> i));
+        TmpL = MaxL; TmpL >>= i;
+        BOOST_CHECK(TmpL == (MaxL >> i));
+    }
+    arith_uint256 c1L = arith_uint256(0x0123456789abcdefULL);
+    arith_uint256 c2L = c1L << 128;
+    for (unsigned int i = 0; i < 128; ++i) {
+        BOOST_CHECK((c1L << i) == (c2L >> (128-i)));
+    }
+    for (unsigned int i = 128; i < 256; ++i) {
+        BOOST_CHECK((c1L << i) == (c2L << (i-128)));
+    }
+
+    arith_uint160 TmpS;
+    for (unsigned int i = 0; i < 160; ++i)
+    {
+        shiftArrayLeft(TmpArray, OneArray, 20, i);
+        BOOST_CHECK(arith_uint160(std::vector<unsigned char>(TmpArray,TmpArray+20)) == (OneS << i));
+        TmpS = OneS; TmpS <<= i;
+        BOOST_CHECK(TmpS == (OneS << i));
+        BOOST_CHECK((HalfS >> (159-i)) == (OneS << i));
+        TmpS = HalfS; TmpS >>= (159-i);
+        BOOST_CHECK(TmpS == (OneS << i));
+
+        shiftArrayLeft(TmpArray, R1Array, 20, i);
+        BOOST_CHECK(arith_uint160(std::vector<unsigned char>(TmpArray,TmpArray+20)) == (R1S << i));
+        TmpS = R1S; TmpS <<= i;
+        BOOST_CHECK(TmpS == (R1S << i));
+
+        shiftArrayRight(TmpArray, R1Array, 20, i);
+        BOOST_CHECK(arith_uint160(std::vector<unsigned char>(TmpArray,TmpArray+20)) == (R1S >> i));
+        TmpS = R1S; TmpS >>= i;
+        BOOST_CHECK(TmpS == (R1S >> i));
+
+        shiftArrayLeft(TmpArray, MaxArray, 20, i);
+        BOOST_CHECK(arith_uint160(std::vector<unsigned char>(TmpArray,TmpArray+20)) == (MaxS << i));
+        TmpS = MaxS; TmpS <<= i;
+        BOOST_CHECK(TmpS == (MaxS << i));
+
+        shiftArrayRight(TmpArray, MaxArray, 20, i);
+        BOOST_CHECK(arith_uint160(std::vector<unsigned char>(TmpArray,TmpArray+20)) == (MaxS >> i));
+        TmpS = MaxS; TmpS >>= i;
+        BOOST_CHECK(TmpS == (MaxS >> i));
+    }
+    arith_uint160 c1S = arith_uint160(0x0123456789abcdefULL);
+    arith_uint160 c2S = c1S << 80;
+    for (unsigned int i = 0; i < 80; ++i) {
+        BOOST_CHECK((c1S << i) == (c2S >> (80-i)));
+    }
+    for (unsigned int i = 80; i < 160; ++i) {
+        BOOST_CHECK((c1S << i) == (c2S << (i-80)));
+    }
+}
+
+BOOST_AUTO_TEST_CASE( unaryOperators ) // !    ~    -
+{
+    BOOST_CHECK(!ZeroL);  BOOST_CHECK(!ZeroS);
+    BOOST_CHECK(!(!OneL));BOOST_CHECK(!(!OneS));
+    for (unsigned int i = 0; i < 256; ++i)
+        BOOST_CHECK(!(!(OneL<<i)));
+    for (unsigned int i = 0; i < 160; ++i)
+        BOOST_CHECK(!(!(OneS<<i)));
+    BOOST_CHECK(!(!R1L));BOOST_CHECK(!(!R1S));
+    BOOST_CHECK(!(!R2S));BOOST_CHECK(!(!R2S));
+    BOOST_CHECK(!(!MaxL));BOOST_CHECK(!(!MaxS));
+
+    BOOST_CHECK(~ZeroL == MaxL); BOOST_CHECK(~ZeroS == MaxS);
+
+    unsigned char TmpArray[32];
+    for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = ~R1Array[i]; }
+    BOOST_CHECK(arith_uint256(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (~R1L));
+    BOOST_CHECK(arith_uint160(std::vector<unsigned char>(TmpArray,TmpArray+20)) == (~R1S));
+
+    BOOST_CHECK(-ZeroL == ZeroL); BOOST_CHECK(-ZeroS == ZeroS);
+    BOOST_CHECK(-R1L == (~R1L)+1);
+    BOOST_CHECK(-R1S == (~R1S)+1);
+    for (unsigned int i = 0; i < 256; ++i)
+        BOOST_CHECK(-(OneL<<i) == (MaxL << i));
+    for (unsigned int i = 0; i < 160; ++i)
+        BOOST_CHECK(-(OneS<<i) == (MaxS << i));
+}
+
+
+// Check if doing _A_ _OP_ _B_ results in the same as applying _OP_ onto each
+// element of Aarray and Barray, and then converting the result into a arith_uint256.
+#define CHECKBITWISEOPERATOR(_A_,_B_,_OP_)                              \
+    for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = _A_##Array[i] _OP_ _B_##Array[i]; } \
+    BOOST_CHECK(arith_uint256(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (_A_##L _OP_ _B_##L)); \
+    for (unsigned int i = 0; i < 20; ++i) { TmpArray[i] = _A_##Array[i] _OP_ _B_##Array[i]; } \
+    BOOST_CHECK(arith_uint160(std::vector<unsigned char>(TmpArray,TmpArray+20)) == (_A_##S _OP_ _B_##S));
+
+#define CHECKASSIGNMENTOPERATOR(_A_,_B_,_OP_)                           \
+    TmpL = _A_##L; TmpL _OP_##= _B_##L; BOOST_CHECK(TmpL == (_A_##L _OP_ _B_##L)); \
+    TmpS = _A_##S; TmpS _OP_##= _B_##S; BOOST_CHECK(TmpS == (_A_##S _OP_ _B_##S));
+
+BOOST_AUTO_TEST_CASE( bitwiseOperators )
+{
+    unsigned char TmpArray[32];
+
+    CHECKBITWISEOPERATOR(R1,R2,|)
+    CHECKBITWISEOPERATOR(R1,R2,^)
+    CHECKBITWISEOPERATOR(R1,R2,&)
+    CHECKBITWISEOPERATOR(R1,Zero,|)
+    CHECKBITWISEOPERATOR(R1,Zero,^)
+    CHECKBITWISEOPERATOR(R1,Zero,&)
+    CHECKBITWISEOPERATOR(R1,Max,|)
+    CHECKBITWISEOPERATOR(R1,Max,^)
+    CHECKBITWISEOPERATOR(R1,Max,&)
+    CHECKBITWISEOPERATOR(Zero,R1,|)
+    CHECKBITWISEOPERATOR(Zero,R1,^)
+    CHECKBITWISEOPERATOR(Zero,R1,&)
+    CHECKBITWISEOPERATOR(Max,R1,|)
+    CHECKBITWISEOPERATOR(Max,R1,^)
+    CHECKBITWISEOPERATOR(Max,R1,&)
+
+    arith_uint256 TmpL;
+    arith_uint160 TmpS;
+    CHECKASSIGNMENTOPERATOR(R1,R2,|)
+    CHECKASSIGNMENTOPERATOR(R1,R2,^)
+    CHECKASSIGNMENTOPERATOR(R1,R2,&)
+    CHECKASSIGNMENTOPERATOR(R1,Zero,|)
+    CHECKASSIGNMENTOPERATOR(R1,Zero,^)
+    CHECKASSIGNMENTOPERATOR(R1,Zero,&)
+    CHECKASSIGNMENTOPERATOR(R1,Max,|)
+    CHECKASSIGNMENTOPERATOR(R1,Max,^)
+    CHECKASSIGNMENTOPERATOR(R1,Max,&)
+    CHECKASSIGNMENTOPERATOR(Zero,R1,|)
+    CHECKASSIGNMENTOPERATOR(Zero,R1,^)
+    CHECKASSIGNMENTOPERATOR(Zero,R1,&)
+    CHECKASSIGNMENTOPERATOR(Max,R1,|)
+    CHECKASSIGNMENTOPERATOR(Max,R1,^)
+    CHECKASSIGNMENTOPERATOR(Max,R1,&)
+
+    uint64_t Tmp64 = 0xe1db685c9a0b47a2ULL;
+    TmpL = R1L; TmpL |= Tmp64;  BOOST_CHECK(TmpL == (R1L | arith_uint256(Tmp64)));
+    TmpS = R1S; TmpS |= Tmp64;  BOOST_CHECK(TmpS == (R1S | arith_uint160(Tmp64)));
+    TmpL = R1L; TmpL |= 0; BOOST_CHECK(TmpL == R1L);
+    TmpS = R1S; TmpS |= 0; BOOST_CHECK(TmpS == R1S);
+    TmpL ^= 0; BOOST_CHECK(TmpL == R1L);
+    TmpS ^= 0; BOOST_CHECK(TmpS == R1S);
+    TmpL ^= Tmp64;  BOOST_CHECK(TmpL == (R1L ^ arith_uint256(Tmp64)));
+    TmpS ^= Tmp64;  BOOST_CHECK(TmpS == (R1S ^ arith_uint160(Tmp64)));
+}
+
+BOOST_AUTO_TEST_CASE( comparison ) // <= >= < >
+{
+    arith_uint256 TmpL;
+    for (unsigned int i = 0; i < 256; ++i) {
+        TmpL= OneL<< i;
+        BOOST_CHECK( TmpL >= ZeroL && TmpL > ZeroL && ZeroL < TmpL && ZeroL <= TmpL);
+        BOOST_CHECK( TmpL >= 0 && TmpL > 0 && 0 < TmpL && 0 <= TmpL);
+        TmpL |= R1L;
+        BOOST_CHECK( TmpL >= R1L ); BOOST_CHECK( (TmpL == R1L) != (TmpL > R1L)); BOOST_CHECK( (TmpL == R1L) || !( TmpL <= R1L));
+        BOOST_CHECK( R1L <= TmpL ); BOOST_CHECK( (R1L == TmpL) != (R1L < TmpL)); BOOST_CHECK( (TmpL == R1L) || !( R1L >= TmpL));
+        BOOST_CHECK(! (TmpL < R1L)); BOOST_CHECK(! (R1L > TmpL));
+    }
+    arith_uint160 TmpS;
+    for (unsigned int i = 0; i < 160; ++i) {
+        TmpS= OneS<< i;
+        BOOST_CHECK( TmpS >= ZeroS && TmpS > ZeroS && ZeroS < TmpS && ZeroS <= TmpS);
+        BOOST_CHECK( TmpS >= 0 && TmpS > 0 && 0 < TmpS && 0 <= TmpS);
+        TmpS |= R1S;
+        BOOST_CHECK( TmpS >= R1S ); BOOST_CHECK( (TmpS == R1S) != (TmpS > R1S)); BOOST_CHECK( (TmpS == R1S) || !( TmpS <= R1S));
+        BOOST_CHECK( R1S <= TmpS ); BOOST_CHECK( (R1S == TmpS) != (R1S < TmpS)); BOOST_CHECK( (TmpS == R1S) || !( R1S >= TmpS));
+        BOOST_CHECK(! (TmpS < R1S)); BOOST_CHECK(! (R1S > TmpS));
+    }
+}
+
+BOOST_AUTO_TEST_CASE( plusMinus )
+{
+    arith_uint256 TmpL = 0;
+    BOOST_CHECK(R1L+R2L == arith_uint256(R1LplusR2L));
+    TmpL += R1L;
+    BOOST_CHECK(TmpL == R1L);
+    TmpL += R2L;
+    BOOST_CHECK(TmpL == R1L + R2L);
+    BOOST_CHECK(OneL+MaxL == ZeroL);
+    BOOST_CHECK(MaxL+OneL == ZeroL);
+    for (unsigned int i = 1; i < 256; ++i) {
+        BOOST_CHECK( (MaxL >> i) + OneL == (HalfL >> (i-1)) );
+        BOOST_CHECK( OneL + (MaxL >> i) == (HalfL >> (i-1)) );
+        TmpL = (MaxL>>i); TmpL += OneL;
+        BOOST_CHECK( TmpL == (HalfL >> (i-1)) );
+        TmpL = (MaxL>>i); TmpL += 1;
+        BOOST_CHECK( TmpL == (HalfL >> (i-1)) );
+        TmpL = (MaxL>>i);
+        BOOST_CHECK( TmpL++ == (MaxL>>i) );
+        BOOST_CHECK( TmpL == (HalfL >> (i-1)));
+    }
+    BOOST_CHECK(arith_uint256(0xbedc77e27940a7ULL) + 0xee8d836fce66fbULL == arith_uint256(0xbedc77e27940a7ULL + 0xee8d836fce66fbULL));
+    TmpL = arith_uint256(0xbedc77e27940a7ULL); TmpL += 0xee8d836fce66fbULL;
+    BOOST_CHECK(TmpL == arith_uint256(0xbedc77e27940a7ULL+0xee8d836fce66fbULL));
+    TmpL -= 0xee8d836fce66fbULL;  BOOST_CHECK(TmpL == 0xbedc77e27940a7ULL);
+    TmpL = R1L;
+    BOOST_CHECK(++TmpL == R1L+1);
+
+    BOOST_CHECK(R1L -(-R2L) == R1L+R2L);
+    BOOST_CHECK(R1L -(-OneL) == R1L+OneL);
+    BOOST_CHECK(R1L - OneL == R1L+(-OneL));
+    for (unsigned int i = 1; i < 256; ++i) {
+        BOOST_CHECK((MaxL>>i) - (-OneL)  == (HalfL >> (i-1)));
+        BOOST_CHECK((HalfL >> (i-1)) - OneL == (MaxL>>i));
+        TmpL = (HalfL >> (i-1));
+        BOOST_CHECK(TmpL-- == (HalfL >> (i-1)));
+        BOOST_CHECK(TmpL == (MaxL >> i));
+        TmpL = (HalfL >> (i-1));
+        BOOST_CHECK(--TmpL == (MaxL >> i));
+    }
+    TmpL = R1L;
+    BOOST_CHECK(--TmpL == R1L-1);
+
+    // 160-bit; copy-pasted
+    arith_uint160 TmpS = 0;
+    BOOST_CHECK(R1S+R2S == arith_uint160(R1LplusR2L));
+    TmpS += R1S;
+    BOOST_CHECK(TmpS == R1S);
+    TmpS += R2S;
+    BOOST_CHECK(TmpS == R1S + R2S);
+    BOOST_CHECK(OneS+MaxS == ZeroS);
+    BOOST_CHECK(MaxS+OneS == ZeroS);
+    for (unsigned int i = 1; i < 160; ++i) {
+        BOOST_CHECK( (MaxS >> i) + OneS == (HalfS >> (i-1)) );
+        BOOST_CHECK( OneS + (MaxS >> i) == (HalfS >> (i-1)) );
+        TmpS = (MaxS>>i); TmpS += OneS;
+        BOOST_CHECK( TmpS == (HalfS >> (i-1)) );
+        TmpS = (MaxS>>i); TmpS += 1;
+        BOOST_CHECK( TmpS == (HalfS >> (i-1)) );
+        TmpS = (MaxS>>i);
+        BOOST_CHECK( TmpS++ == (MaxS>>i) );
+        BOOST_CHECK( TmpS == (HalfS >> (i-1)));
+    }
+    BOOST_CHECK(arith_uint160(0xbedc77e27940a7ULL) + 0xee8d836fce66fbULL == arith_uint160(0xbedc77e27940a7ULL + 0xee8d836fce66fbULL));
+    TmpS = arith_uint160(0xbedc77e27940a7ULL); TmpS += 0xee8d836fce66fbULL;
+    BOOST_CHECK(TmpS == arith_uint160(0xbedc77e27940a7ULL+0xee8d836fce66fbULL));
+    TmpS -= 0xee8d836fce66fbULL;  BOOST_CHECK(TmpS == 0xbedc77e27940a7ULL);
+    TmpS = R1S;
+    BOOST_CHECK(++TmpS == R1S+1);
+
+    BOOST_CHECK(R1S -(-R2S) == R1S+R2S);
+    BOOST_CHECK(R1S -(-OneS) == R1S+OneS);
+    BOOST_CHECK(R1S - OneS == R1S+(-OneS));
+    for (unsigned int i = 1; i < 160; ++i) {
+        BOOST_CHECK((MaxS>>i) - (-OneS)  == (HalfS >> (i-1)));
+        BOOST_CHECK((HalfS >> (i-1)) - OneS == (MaxS>>i));
+        TmpS = (HalfS >> (i-1));
+        BOOST_CHECK(TmpS-- == (HalfS >> (i-1)));
+        BOOST_CHECK(TmpS == (MaxS >> i));
+        TmpS = (HalfS >> (i-1));
+        BOOST_CHECK(--TmpS == (MaxS >> i));
+    }
+    TmpS = R1S;
+    BOOST_CHECK(--TmpS == R1S-1);
+
+}
+
+BOOST_AUTO_TEST_CASE( multiply )
+{
+    BOOST_CHECK((R1L * R1L).ToString() == "62a38c0486f01e45879d7910a7761bf30d5237e9873f9bff3642a732c4d84f10");
+    BOOST_CHECK((R1L * R2L).ToString() == "de37805e9986996cfba76ff6ba51c008df851987d9dd323f0e5de07760529c40");
+    BOOST_CHECK((R1L * ZeroL) == ZeroL);
+    BOOST_CHECK((R1L * OneL) == R1L);
+    BOOST_CHECK((R1L * MaxL) == -R1L);
+    BOOST_CHECK((R2L * R1L) == (R1L * R2L));
+    BOOST_CHECK((R2L * R2L).ToString() == "ac8c010096767d3cae5005dec28bb2b45a1d85ab7996ccd3e102a650f74ff100");
+    BOOST_CHECK((R2L * ZeroL) == ZeroL);
+    BOOST_CHECK((R2L * OneL) == R2L);
+    BOOST_CHECK((R2L * MaxL) == -R2L);
+
+    BOOST_CHECK((R1S * R1S).ToString() == "a7761bf30d5237e9873f9bff3642a732c4d84f10");
+    BOOST_CHECK((R1S * R2S).ToString() == "ba51c008df851987d9dd323f0e5de07760529c40");
+    BOOST_CHECK((R1S * ZeroS) == ZeroS);
+    BOOST_CHECK((R1S * OneS) == R1S);
+    BOOST_CHECK((R1S * MaxS) == -R1S);
+    BOOST_CHECK((R2S * R1S) == (R1S * R2S));
+    BOOST_CHECK((R2S * R2S).ToString() == "c28bb2b45a1d85ab7996ccd3e102a650f74ff100");
+    BOOST_CHECK((R2S * ZeroS) == ZeroS);
+    BOOST_CHECK((R2S * OneS) == R2S);
+    BOOST_CHECK((R2S * MaxS) == -R2S);
+
+    BOOST_CHECK(MaxL * MaxL == OneL);
+    BOOST_CHECK(MaxS * MaxS == OneS);
+
+    BOOST_CHECK((R1L * 0) == 0);
+    BOOST_CHECK((R1L * 1) == R1L);
+    BOOST_CHECK((R1L * 3).ToString() == "7759b1c0ed14047f961ad09b20ff83687876a0181a367b813634046f91def7d4");
+    BOOST_CHECK((R2L * 0x87654321UL).ToString() == "23f7816e30c4ae2017257b7a0fa64d60402f5234d46e746b61c960d09a26d070");
+    BOOST_CHECK((R1S * 0) == 0);
+    BOOST_CHECK((R1S * 1) == R1S);
+    BOOST_CHECK((R1S * 7).ToString() == "f7a987f3c3bf758d927f202d7e795faeff084244");
+    BOOST_CHECK((R2S * 0xFFFFFFFFUL).ToString() == "1c6f6c930353e17f7d6127213bb18d2883e2cd90");
+}
+
+BOOST_AUTO_TEST_CASE( divide )
+{
+    arith_uint256 D1L("AD7133AC1977FA2B7");
+    arith_uint256 D2L("ECD751716");
+    BOOST_CHECK((R1L / D1L).ToString() == "00000000000000000b8ac01106981635d9ed112290f8895545a7654dde28fb3a");
+    BOOST_CHECK((R1L / D2L).ToString() == "000000000873ce8efec5b67150bad3aa8c5fcb70e947586153bf2cec7c37c57a");
+    BOOST_CHECK(R1L / OneL == R1L);
+    BOOST_CHECK(R1L / MaxL == ZeroL);
+    BOOST_CHECK(MaxL / R1L == 2);
+    BOOST_CHECK_THROW(R1L / ZeroL, uint_error);
+    BOOST_CHECK((R2L / D1L).ToString() == "000000000000000013e1665895a1cc981de6d93670105a6b3ec3b73141b3a3c5");
+    BOOST_CHECK((R2L / D2L).ToString() == "000000000e8f0abe753bb0afe2e9437ee85d280be60882cf0bd1aaf7fa3cc2c4");
+    BOOST_CHECK(R2L / OneL == R2L);
+    BOOST_CHECK(R2L / MaxL == ZeroL);
+    BOOST_CHECK(MaxL / R2L == 1);
+    BOOST_CHECK_THROW(R2L / ZeroL, uint_error);
+
+    arith_uint160 D1S("D3C5EDCDEA54EB92679F0A4B4");
+    arith_uint160 D2S("13037");
+    BOOST_CHECK((R1S / D1S).ToString() == "0000000000000000000000000db9af3beade6c02");
+    BOOST_CHECK((R1S / D2S).ToString() == "000098dfb6cc40ca592bf74366794f298ada205c");
+    BOOST_CHECK(R1S / OneS == R1S);
+    BOOST_CHECK(R1S / MaxS == ZeroS);
+    BOOST_CHECK(MaxS / R1S == 1);
+    BOOST_CHECK_THROW(R1S / ZeroS, uint_error);
+    BOOST_CHECK((R2S / D1S).ToString() == "0000000000000000000000000c5608e781182047");
+    BOOST_CHECK((R2S / D2S).ToString() == "00008966751b7187c3c67c1fda5cea7db2c1c069");
+    BOOST_CHECK(R2S / OneS == R2S);
+    BOOST_CHECK(R2S / MaxS == ZeroS);
+    BOOST_CHECK(MaxS / R2S == 1);
+    BOOST_CHECK_THROW(R2S / ZeroS, uint_error);
+}
+
+
+bool almostEqual(double d1, double d2)
+{
+    return fabs(d1-d2) <= 4*fabs(d1)*std::numeric_limits<double>::epsilon();
+}
+
+BOOST_AUTO_TEST_CASE( methods ) // GetHex SetHex begin() end() size() GetLow64 GetSerializeSize, Serialize, Unserialize
+{
+    BOOST_CHECK(R1L.GetHex() == R1L.ToString());
+    BOOST_CHECK(R2L.GetHex() == R2L.ToString());
+    BOOST_CHECK(OneL.GetHex() == OneL.ToString());
+    BOOST_CHECK(MaxL.GetHex() == MaxL.ToString());
+    arith_uint256 TmpL(R1L);
+    BOOST_CHECK(TmpL == R1L);
+    TmpL.SetHex(R2L.ToString());   BOOST_CHECK(TmpL == R2L);
+    TmpL.SetHex(ZeroL.ToString()); BOOST_CHECK(TmpL == 0);
+    TmpL.SetHex(HalfL.ToString()); BOOST_CHECK(TmpL == HalfL);
+
+    TmpL.SetHex(R1L.ToString());
+    BOOST_CHECK(memcmp(R1L.begin(), R1Array, 32)==0);
+    BOOST_CHECK(memcmp(TmpL.begin(), R1Array, 32)==0);
+    BOOST_CHECK(memcmp(R2L.begin(), R2Array, 32)==0);
+    BOOST_CHECK(memcmp(ZeroL.begin(), ZeroArray, 32)==0);
+    BOOST_CHECK(memcmp(OneL.begin(), OneArray, 32)==0);
+    BOOST_CHECK(R1L.size() == 32);
+    BOOST_CHECK(R2L.size() == 32);
+    BOOST_CHECK(ZeroL.size() == 32);
+    BOOST_CHECK(MaxL.size() == 32);
+    BOOST_CHECK(R1L.begin() + 32 == R1L.end());
+    BOOST_CHECK(R2L.begin() + 32 == R2L.end());
+    BOOST_CHECK(OneL.begin() + 32 == OneL.end());
+    BOOST_CHECK(MaxL.begin() + 32 == MaxL.end());
+    BOOST_CHECK(TmpL.begin() + 32 == TmpL.end());
+    BOOST_CHECK(R1L.GetLow64()  == R1LLow64);
+    BOOST_CHECK(HalfL.GetLow64() ==0x0000000000000000ULL);
+    BOOST_CHECK(OneL.GetLow64() ==0x0000000000000001ULL);
+    BOOST_CHECK(R1L.GetSerializeSize(0,PROTOCOL_VERSION) == 32);
+    BOOST_CHECK(ZeroL.GetSerializeSize(0,PROTOCOL_VERSION) == 32);
+
+    std::stringstream ss;
+    R1L.Serialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(ss.str() == std::string(R1Array,R1Array+32));
+    TmpL.Unserialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(R1L == TmpL);
+    ss.str("");
+    ZeroL.Serialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(ss.str() == std::string(ZeroArray,ZeroArray+32));
+    TmpL.Unserialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(ZeroL == TmpL);
+    ss.str("");
+    MaxL.Serialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(ss.str() == std::string(MaxArray,MaxArray+32));
+    TmpL.Unserialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(MaxL == TmpL);
+    ss.str("");
+
+    BOOST_CHECK(R1S.GetHex() == R1S.ToString());
+    BOOST_CHECK(R2S.GetHex() == R2S.ToString());
+    BOOST_CHECK(OneS.GetHex() == OneS.ToString());
+    BOOST_CHECK(MaxS.GetHex() == MaxS.ToString());
+    arith_uint160 TmpS(R1S);
+    BOOST_CHECK(TmpS == R1S);
+    TmpS.SetHex(R2S.ToString());   BOOST_CHECK(TmpS == R2S);
+    TmpS.SetHex(ZeroS.ToString()); BOOST_CHECK(TmpS == 0);
+    TmpS.SetHex(HalfS.ToString()); BOOST_CHECK(TmpS == HalfS);
+
+    TmpS.SetHex(R1S.ToString());
+    BOOST_CHECK(memcmp(R1S.begin(), R1Array, 20)==0);
+    BOOST_CHECK(memcmp(TmpS.begin(), R1Array, 20)==0);
+    BOOST_CHECK(memcmp(R2S.begin(), R2Array, 20)==0);
+    BOOST_CHECK(memcmp(ZeroS.begin(), ZeroArray, 20)==0);
+    BOOST_CHECK(memcmp(OneS.begin(), OneArray, 20)==0);
+    BOOST_CHECK(R1S.size() == 20);
+    BOOST_CHECK(R2S.size() == 20);
+    BOOST_CHECK(ZeroS.size() == 20);
+    BOOST_CHECK(MaxS.size() == 20);
+    BOOST_CHECK(R1S.begin() + 20 == R1S.end());
+    BOOST_CHECK(R2S.begin() + 20 == R2S.end());
+    BOOST_CHECK(OneS.begin() + 20 == OneS.end());
+    BOOST_CHECK(MaxS.begin() + 20 == MaxS.end());
+    BOOST_CHECK(TmpS.begin() + 20 == TmpS.end());
+    BOOST_CHECK(R1S.GetLow64()  == R1LLow64);
+    BOOST_CHECK(HalfS.GetLow64() ==0x0000000000000000ULL);
+    BOOST_CHECK(OneS.GetLow64() ==0x0000000000000001ULL);
+    BOOST_CHECK(R1S.GetSerializeSize(0,PROTOCOL_VERSION) == 20);
+    BOOST_CHECK(ZeroS.GetSerializeSize(0,PROTOCOL_VERSION) == 20);
+
+    R1S.Serialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(ss.str() == std::string(R1Array,R1Array+20));
+    TmpS.Unserialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(R1S == TmpS);
+    ss.str("");
+    ZeroS.Serialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(ss.str() == std::string(ZeroArray,ZeroArray+20));
+    TmpS.Unserialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(ZeroS == TmpS);
+    ss.str("");
+    MaxS.Serialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(ss.str() == std::string(MaxArray,MaxArray+20));
+    TmpS.Unserialize(ss,0,PROTOCOL_VERSION);
+    BOOST_CHECK(MaxS == TmpS);
+    ss.str("");
+
+    for (unsigned int i = 0; i < 255; ++i)
+    {
+        BOOST_CHECK((OneL << i).getdouble() == ldexp(1.0,i));
+        if (i < 160) BOOST_CHECK((OneS << i).getdouble() == ldexp(1.0,i));
+    }
+    BOOST_CHECK(ZeroL.getdouble() == 0.0);
+    BOOST_CHECK(ZeroS.getdouble() == 0.0);
+    for (int i = 256; i > 53; --i)
+        BOOST_CHECK(almostEqual((R1L>>(256-i)).getdouble(), ldexp(R1Ldouble,i)));
+    for (int i = 160; i > 53; --i)
+        BOOST_CHECK(almostEqual((R1S>>(160-i)).getdouble(), ldexp(R1Sdouble,i)));
+    uint64_t R1L64part = (R1L>>192).GetLow64();
+    uint64_t R1S64part = (R1S>>96).GetLow64();
+    for (int i = 53; i > 0; --i) // doubles can store all integers in {0,...,2^54-1} exactly
+    {
+        BOOST_CHECK((R1L>>(256-i)).getdouble() == (double)(R1L64part >> (64-i)));
+        BOOST_CHECK((R1S>>(160-i)).getdouble() == (double)(R1S64part >> (64-i)));
+    }
+}
+
+BOOST_AUTO_TEST_CASE(bignum_SetCompact)
+{
+    arith_uint256 num;
+    bool fNegative;
+    bool fOverflow;
+    num.SetCompact(0, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x00123456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x01003456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x02000056, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x03000000, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x04000000, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x00923456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x01803456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x02800056, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x03800000, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x04800000, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x01123456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000012");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0x01120000U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    // Make sure that we don't generate compacts with the 0x00800000 bit set
+    num = 0x80;
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0x02008000U);
+
+    num.SetCompact(0x01fedcba, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "000000000000000000000000000000000000000000000000000000000000007e");
+    BOOST_CHECK_EQUAL(num.GetCompact(true), 0x01fe0000U);
+    BOOST_CHECK_EQUAL(fNegative, true);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x02123456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000001234");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0x02123400U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x03123456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000123456");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0x03123456U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x04123456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0x04123456U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x04923456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600");
+    BOOST_CHECK_EQUAL(num.GetCompact(true), 0x04923456U);
+    BOOST_CHECK_EQUAL(fNegative, true);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x05009234, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000092340000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0x05009234U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0x20123456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(num.GetHex(), "1234560000000000000000000000000000000000000000000000000000000000");
+    BOOST_CHECK_EQUAL(num.GetCompact(), 0x20123456U);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, false);
+
+    num.SetCompact(0xff123456, &fNegative, &fOverflow);
+    BOOST_CHECK_EQUAL(fNegative, false);
+    BOOST_CHECK_EQUAL(fOverflow, true);
+}
+
+
+BOOST_AUTO_TEST_CASE( getmaxcoverage ) // some more tests just to get 100% coverage
+{
+    // ~R1L give a base_uint<256>
+    BOOST_CHECK((~~R1L >> 10) == (R1L >> 10)); BOOST_CHECK((~~R1S >> 10) == (R1S >> 10));
+    BOOST_CHECK((~~R1L << 10) == (R1L << 10)); BOOST_CHECK((~~R1S << 10) == (R1S << 10));
+    BOOST_CHECK(!(~~R1L < R1L)); BOOST_CHECK(!(~~R1S < R1S));
+    BOOST_CHECK(~~R1L <= R1L); BOOST_CHECK(~~R1S <= R1S);
+    BOOST_CHECK(!(~~R1L > R1L)); BOOST_CHECK(!(~~R1S > R1S));
+    BOOST_CHECK(~~R1L >= R1L); BOOST_CHECK(~~R1S >= R1S);
+    BOOST_CHECK(!(R1L < ~~R1L)); BOOST_CHECK(!(R1S < ~~R1S));
+    BOOST_CHECK(R1L <= ~~R1L); BOOST_CHECK(R1S <= ~~R1S);
+    BOOST_CHECK(!(R1L > ~~R1L)); BOOST_CHECK(!(R1S > ~~R1S));
+    BOOST_CHECK(R1L >= ~~R1L); BOOST_CHECK(R1S >= ~~R1S);
+
+    BOOST_CHECK(~~R1L + R2L == R1L + ~~R2L);
+    BOOST_CHECK(~~R1S + R2S == R1S + ~~R2S);
+    BOOST_CHECK(~~R1L - R2L == R1L - ~~R2L);
+    BOOST_CHECK(~~R1S - R2S == R1S - ~~R2S);
+    BOOST_CHECK(~R1L != R1L); BOOST_CHECK(R1L != ~R1L);
+    BOOST_CHECK(~R1S != R1S); BOOST_CHECK(R1S != ~R1S);
+    unsigned char TmpArray[32];
+    CHECKBITWISEOPERATOR(~R1,R2,|)
+    CHECKBITWISEOPERATOR(~R1,R2,^)
+    CHECKBITWISEOPERATOR(~R1,R2,&)
+    CHECKBITWISEOPERATOR(R1,~R2,|)
+    CHECKBITWISEOPERATOR(R1,~R2,^)
+    CHECKBITWISEOPERATOR(R1,~R2,&)
+}
+
+BOOST_AUTO_TEST_SUITE_END()