1 // Copyright (c) 2011-2020 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 
26 const unsigned char R1Array[] =
27     "\x9c\x52\x4a\xdb\xcf\x56\x11\x12\x2b\x29\x12\x5e\x5d\x35\xd2\xd2"
28     "\x22\x81\xaa\xb5\x33\xf0\x08\x32\xd5\x56\xb1\xf9\xea\xe5\x1d\x7d";
29 const char R1ArrayHex[] = "7D1DE5EAF9B156D53208F033B5AA8122D2d2355d5e12292b121156cfdb4a529c";
30 const double R1Ldouble = 0.4887374590559308955; // R1L equals roughly R1Ldouble * 2^256
31 const arith_uint256 R1L = arith_uint256V(std::vector<unsigned char>(R1Array,R1Array+32));
32 const uint64_t R1LLow64 = 0x121156cfdb4a529cULL;
33 
34 const unsigned char R2Array[] =
35     "\x70\x32\x1d\x7c\x47\xa5\x6b\x40\x26\x7e\x0a\xc3\xa6\x9c\xb6\xbf"
36     "\x13\x30\x47\xa3\x19\x2d\xda\x71\x49\x13\x72\xf0\xb4\xca\x81\xd7";
37 const arith_uint256 R2L = arith_uint256V(std::vector<unsigned char>(R2Array,R2Array+32));
38 
39 const char R1LplusR2L[] = "549FB09FEA236A1EA3E31D4D58F1B1369288D204211CA751527CFC175767850C";
40 
41 const unsigned char ZeroArray[] =
42     "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
43     "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00";
44 const arith_uint256 ZeroL = arith_uint256V(std::vector<unsigned char>(ZeroArray,ZeroArray+32));
45 
46 const unsigned char OneArray[] =
47     "\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
48     "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00";
49 const arith_uint256 OneL = arith_uint256V(std::vector<unsigned char>(OneArray,OneArray+32));
50 
51 const unsigned char MaxArray[] =
52     "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
53     "\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff";
54 const arith_uint256 MaxL = arith_uint256V(std::vector<unsigned char>(MaxArray,MaxArray+32));
55 
56 const arith_uint256 HalfL = (OneL << 255);
57 static std::string ArrayToString(const unsigned char A[], unsigned int width)
58 {
59     std::stringstream Stream;
60     Stream << std::hex;
61     for (unsigned int i = 0; i < width; ++i)
62     {
63         Stream<<std::setw(2)<<std::setfill('0')<<(unsigned int)A[width-i-1];
64     }
65     return Stream.str();
66 }
67 
68 BOOST_AUTO_TEST_CASE( basics ) // constructors, equality, inequality
69 {
70     BOOST_CHECK(1 == 0+1);
71     // constructor arith_uint256(vector<char>):
72     BOOST_CHECK(R1L.ToString() == ArrayToString(R1Array,32));
73     BOOST_CHECK(R2L.ToString() == ArrayToString(R2Array,32));
74     BOOST_CHECK(ZeroL.ToString() == ArrayToString(ZeroArray,32));
75     BOOST_CHECK(OneL.ToString() == ArrayToString(OneArray,32));
76     BOOST_CHECK(MaxL.ToString() == ArrayToString(MaxArray,32));
77     BOOST_CHECK(OneL.ToString() != ArrayToString(ZeroArray,32));
78 
79     // == and !=
80     BOOST_CHECK(R1L != R2L);
81     BOOST_CHECK(ZeroL != OneL);
82     BOOST_CHECK(OneL != ZeroL);
83     BOOST_CHECK(MaxL != ZeroL);
84     BOOST_CHECK(~MaxL == ZeroL);
85     BOOST_CHECK( ((R1L ^ R2L) ^ R1L) == R2L);
86 
87     uint64_t Tmp64 = 0xc4dab720d9c7acaaULL;
88     for (unsigned int i = 0; i < 256; ++i)
89     {
90         BOOST_CHECK(ZeroL != (OneL << i));
91         BOOST_CHECK((OneL << i) != ZeroL);
92         BOOST_CHECK(R1L != (R1L ^ (OneL << i)));
93         BOOST_CHECK(((arith_uint256(Tmp64) ^ (OneL << i) ) != Tmp64 ));
94     }
95     BOOST_CHECK(ZeroL == (OneL << 256));
96 
97     // String Constructor and Copy Constructor
98     BOOST_CHECK(arith_uint256("0x"+R1L.ToString()) == R1L);
99     BOOST_CHECK(arith_uint256("0x"+R2L.ToString()) == R2L);
100     BOOST_CHECK(arith_uint256("0x"+ZeroL.ToString()) == ZeroL);
101     BOOST_CHECK(arith_uint256("0x"+OneL.ToString()) == OneL);
102     BOOST_CHECK(arith_uint256("0x"+MaxL.ToString()) == MaxL);
103     BOOST_CHECK(arith_uint256(R1L.ToString()) == R1L);
104     BOOST_CHECK(arith_uint256("   0x"+R1L.ToString()+"   ") == R1L);
105     BOOST_CHECK(arith_uint256("") == ZeroL);
106     BOOST_CHECK(R1L == arith_uint256(R1ArrayHex));
107     BOOST_CHECK(arith_uint256(R1L) == R1L);
108     BOOST_CHECK((arith_uint256(R1L^R2L)^R2L) == R1L);
109     BOOST_CHECK(arith_uint256(ZeroL) == ZeroL);
110     BOOST_CHECK(arith_uint256(OneL) == OneL);
111 
112     // uint64_t constructor
113     BOOST_CHECK( (R1L & arith_uint256("0xffffffffffffffff")) == arith_uint256(R1LLow64));
114     BOOST_CHECK(ZeroL == arith_uint256(0));
115     BOOST_CHECK(OneL == arith_uint256(1));
116     BOOST_CHECK(arith_uint256("0xffffffffffffffff") == arith_uint256(0xffffffffffffffffULL));
117 
118     // Assignment (from base_uint)
119     arith_uint256 tmpL = ~ZeroL; BOOST_CHECK(tmpL == ~ZeroL);
120     tmpL = ~OneL; BOOST_CHECK(tmpL == ~OneL);
121     tmpL = ~R1L; BOOST_CHECK(tmpL == ~R1L);
122     tmpL = ~R2L; BOOST_CHECK(tmpL == ~R2L);
123     tmpL = ~MaxL; BOOST_CHECK(tmpL == ~MaxL);
124 }
125 
126 static void shiftArrayRight(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift)
127 {
128     for (unsigned int T=0; T < arrayLength; ++T)
129     {
130         unsigned int F = (T+bitsToShift/8);
131         if (F < arrayLength)
132             to[T]  = from[F] >> (bitsToShift%8);
133         else
134             to[T] = 0;
135         if (F + 1 < arrayLength)
136             to[T] |= from[(F+1)] << (8-bitsToShift%8);
137     }
138 }
139 
140 static void shiftArrayLeft(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift)
141 {
142     for (unsigned int T=0; T < arrayLength; ++T)
143     {
144         if (T >= bitsToShift/8)
145         {
146             unsigned int F = T-bitsToShift/8;
147             to[T]  = from[F] << (bitsToShift%8);
148             if (T >= bitsToShift/8+1)
149                 to[T] |= from[F-1] >> (8-bitsToShift%8);
150         }
151         else {
152             to[T] = 0;
153         }
154     }
155 }
156 
157 BOOST_AUTO_TEST_CASE( shifts ) { // "<<"  ">>"  "<<="  ">>="
158     unsigned char TmpArray[32];
159     arith_uint256 TmpL;
160     for (unsigned int i = 0; i < 256; ++i)
161     {
162         shiftArrayLeft(TmpArray, OneArray, 32, i);
163         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (OneL << i));
164         TmpL = OneL; TmpL <<= i;
165         BOOST_CHECK(TmpL == (OneL << i));
166         BOOST_CHECK((HalfL >> (255-i)) == (OneL << i));
167         TmpL = HalfL; TmpL >>= (255-i);
168         BOOST_CHECK(TmpL == (OneL << i));
169 
170         shiftArrayLeft(TmpArray, R1Array, 32, i);
171         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L << i));
172         TmpL = R1L; TmpL <<= i;
173         BOOST_CHECK(TmpL == (R1L << i));
174 
175         shiftArrayRight(TmpArray, R1Array, 32, i);
176         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L >> i));
177         TmpL = R1L; TmpL >>= i;
178         BOOST_CHECK(TmpL == (R1L >> i));
179 
180         shiftArrayLeft(TmpArray, MaxArray, 32, i);
181         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL << i));
182         TmpL = MaxL; TmpL <<= i;
183         BOOST_CHECK(TmpL == (MaxL << i));
184 
185         shiftArrayRight(TmpArray, MaxArray, 32, i);
186         BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL >> i));
187         TmpL = MaxL; TmpL >>= i;
188         BOOST_CHECK(TmpL == (MaxL >> i));
189     }
190     arith_uint256 c1L = arith_uint256(0x0123456789abcdefULL);
191     arith_uint256 c2L = c1L << 128;
192     for (unsigned int i = 0; i < 128; ++i) {
193         BOOST_CHECK((c1L << i) == (c2L >> (128-i)));
194     }
195     for (unsigned int i = 128; i < 256; ++i) {
196         BOOST_CHECK((c1L << i) == (c2L << (i-128)));
197     }
198 }
199 
200 BOOST_AUTO_TEST_CASE( unaryOperators ) // !    ~    -
201 {
202     BOOST_CHECK(~ZeroL == MaxL);
203 
204     unsigned char TmpArray[32];
205     for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = ~R1Array[i]; }
206     BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (~R1L));
207 
208     BOOST_CHECK(-ZeroL == ZeroL);
209     BOOST_CHECK(-R1L == (~R1L)+1);
210     for (unsigned int i = 0; i < 256; ++i)
211         BOOST_CHECK(-(OneL<<i) == (MaxL << i));
212 }
213 
214 
215 // Check if doing _A_ _OP_ _B_ results in the same as applying _OP_ onto each
216 // element of Aarray and Barray, and then converting the result into an arith_uint256.
217 #define CHECKBITWISEOPERATOR(_A_,_B_,_OP_)                              \
218     for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = _A_##Array[i] _OP_ _B_##Array[i]; } \
219     BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (_A_##L _OP_ _B_##L));
220 
221 #define CHECKASSIGNMENTOPERATOR(_A_,_B_,_OP_)                           \
222     TmpL = _A_##L; TmpL _OP_##= _B_##L; BOOST_CHECK(TmpL == (_A_##L _OP_ _B_##L));
223 
224 BOOST_AUTO_TEST_CASE( bitwiseOperators )
225 {
226     unsigned char TmpArray[32];
227 
228     CHECKBITWISEOPERATOR(R1,R2,|)
229     CHECKBITWISEOPERATOR(R1,R2,^)
230     CHECKBITWISEOPERATOR(R1,R2,&)
231     CHECKBITWISEOPERATOR(R1,Zero,|)
232     CHECKBITWISEOPERATOR(R1,Zero,^)
233     CHECKBITWISEOPERATOR(R1,Zero,&)
234     CHECKBITWISEOPERATOR(R1,Max,|)
235     CHECKBITWISEOPERATOR(R1,Max,^)
236     CHECKBITWISEOPERATOR(R1,Max,&)
237     CHECKBITWISEOPERATOR(Zero,R1,|)
238     CHECKBITWISEOPERATOR(Zero,R1,^)
239     CHECKBITWISEOPERATOR(Zero,R1,&)
240     CHECKBITWISEOPERATOR(Max,R1,|)
241     CHECKBITWISEOPERATOR(Max,R1,^)
242     CHECKBITWISEOPERATOR(Max,R1,&)
243 
244     arith_uint256 TmpL;
245     CHECKASSIGNMENTOPERATOR(R1,R2,|)
246     CHECKASSIGNMENTOPERATOR(R1,R2,^)
247     CHECKASSIGNMENTOPERATOR(R1,R2,&)
248     CHECKASSIGNMENTOPERATOR(R1,Zero,|)
249     CHECKASSIGNMENTOPERATOR(R1,Zero,^)
250     CHECKASSIGNMENTOPERATOR(R1,Zero,&)
251     CHECKASSIGNMENTOPERATOR(R1,Max,|)
252     CHECKASSIGNMENTOPERATOR(R1,Max,^)
253     CHECKASSIGNMENTOPERATOR(R1,Max,&)
254     CHECKASSIGNMENTOPERATOR(Zero,R1,|)
255     CHECKASSIGNMENTOPERATOR(Zero,R1,^)
256     CHECKASSIGNMENTOPERATOR(Zero,R1,&)
257     CHECKASSIGNMENTOPERATOR(Max,R1,|)
258     CHECKASSIGNMENTOPERATOR(Max,R1,^)
259     CHECKASSIGNMENTOPERATOR(Max,R1,&)
260 
261     uint64_t Tmp64 = 0xe1db685c9a0b47a2ULL;
262     TmpL = R1L; TmpL |= Tmp64;  BOOST_CHECK(TmpL == (R1L | arith_uint256(Tmp64)));
263     TmpL = R1L; TmpL |= 0; BOOST_CHECK(TmpL == R1L);
264     TmpL ^= 0; BOOST_CHECK(TmpL == R1L);
265     TmpL ^= Tmp64;  BOOST_CHECK(TmpL == (R1L ^ arith_uint256(Tmp64)));
266 }
267 
268 BOOST_AUTO_TEST_CASE( comparison ) // <= >= < >
269 {
270     arith_uint256 TmpL;
271     for (unsigned int i = 0; i < 256; ++i) {
272         TmpL= OneL<< i;
273         BOOST_CHECK( TmpL >= ZeroL && TmpL > ZeroL && ZeroL < TmpL && ZeroL <= TmpL);
274         BOOST_CHECK( TmpL >= 0 && TmpL > 0 && 0 < TmpL && 0 <= TmpL);
275         TmpL |= R1L;
276         BOOST_CHECK( TmpL >= R1L ); BOOST_CHECK( (TmpL == R1L) != (TmpL > R1L)); BOOST_CHECK( (TmpL == R1L) || !( TmpL <= R1L));
277         BOOST_CHECK( R1L <= TmpL ); BOOST_CHECK( (R1L == TmpL) != (R1L < TmpL)); BOOST_CHECK( (TmpL == R1L) || !( R1L >= TmpL));
278         BOOST_CHECK(! (TmpL < R1L)); BOOST_CHECK(! (R1L > TmpL));
279     }
280 }
281 
282 BOOST_AUTO_TEST_CASE( plusMinus )
283 {
284     arith_uint256 TmpL = 0;
285     BOOST_CHECK(R1L+R2L == arith_uint256(R1LplusR2L));
286     TmpL += R1L;
287     BOOST_CHECK(TmpL == R1L);
288     TmpL += R2L;
289     BOOST_CHECK(TmpL == R1L + R2L);
290     BOOST_CHECK(OneL+MaxL == ZeroL);
291     BOOST_CHECK(MaxL+OneL == ZeroL);
292     for (unsigned int i = 1; i < 256; ++i) {
293         BOOST_CHECK( (MaxL >> i) + OneL == (HalfL >> (i-1)) );
294         BOOST_CHECK( OneL + (MaxL >> i) == (HalfL >> (i-1)) );
295         TmpL = (MaxL>>i); TmpL += OneL;
296         BOOST_CHECK( TmpL == (HalfL >> (i-1)) );
297         TmpL = (MaxL>>i); TmpL += 1;
298         BOOST_CHECK( TmpL == (HalfL >> (i-1)) );
299         TmpL = (MaxL>>i);
300         BOOST_CHECK( TmpL++ == (MaxL>>i) );
301         BOOST_CHECK( TmpL == (HalfL >> (i-1)));
302     }
303     BOOST_CHECK(arith_uint256(0xbedc77e27940a7ULL) + 0xee8d836fce66fbULL == arith_uint256(0xbedc77e27940a7ULL + 0xee8d836fce66fbULL));
304     TmpL = arith_uint256(0xbedc77e27940a7ULL); TmpL += 0xee8d836fce66fbULL;
305     BOOST_CHECK(TmpL == arith_uint256(0xbedc77e27940a7ULL+0xee8d836fce66fbULL));
306     TmpL -= 0xee8d836fce66fbULL;  BOOST_CHECK(TmpL == 0xbedc77e27940a7ULL);
307     TmpL = R1L;
308     BOOST_CHECK(++TmpL == R1L+1);
309 
310     BOOST_CHECK(R1L -(-R2L) == R1L+R2L);
311     BOOST_CHECK(R1L -(-OneL) == R1L+OneL);
312     BOOST_CHECK(R1L - OneL == R1L+(-OneL));
313     for (unsigned int i = 1; i < 256; ++i) {
314         BOOST_CHECK((MaxL>>i) - (-OneL)  == (HalfL >> (i-1)));
315         BOOST_CHECK((HalfL >> (i-1)) - OneL == (MaxL>>i));
316         TmpL = (HalfL >> (i-1));
317         BOOST_CHECK(TmpL-- == (HalfL >> (i-1)));
318         BOOST_CHECK(TmpL == (MaxL >> i));
319         TmpL = (HalfL >> (i-1));
320         BOOST_CHECK(--TmpL == (MaxL >> i));
321     }
322     TmpL = R1L;
323     BOOST_CHECK(--TmpL == R1L-1);
324 }
325 
326 BOOST_AUTO_TEST_CASE( multiply )
327 {
328     BOOST_CHECK((R1L * R1L).ToString() == "62a38c0486f01e45879d7910a7761bf30d5237e9873f9bff3642a732c4d84f10");
329     BOOST_CHECK((R1L * R2L).ToString() == "de37805e9986996cfba76ff6ba51c008df851987d9dd323f0e5de07760529c40");
330     BOOST_CHECK((R1L * ZeroL) == ZeroL);
331     BOOST_CHECK((R1L * OneL) == R1L);
332     BOOST_CHECK((R1L * MaxL) == -R1L);
333     BOOST_CHECK((R2L * R1L) == (R1L * R2L));
334     BOOST_CHECK((R2L * R2L).ToString() == "ac8c010096767d3cae5005dec28bb2b45a1d85ab7996ccd3e102a650f74ff100");
335     BOOST_CHECK((R2L * ZeroL) == ZeroL);
336     BOOST_CHECK((R2L * OneL) == R2L);
337     BOOST_CHECK((R2L * MaxL) == -R2L);
338 
339     BOOST_CHECK(MaxL * MaxL == OneL);
340 
341     BOOST_CHECK((R1L * 0) == 0);
342     BOOST_CHECK((R1L * 1) == R1L);
343     BOOST_CHECK((R1L * 3).ToString() == "7759b1c0ed14047f961ad09b20ff83687876a0181a367b813634046f91def7d4");
344     BOOST_CHECK((R2L * 0x87654321UL).ToString() == "23f7816e30c4ae2017257b7a0fa64d60402f5234d46e746b61c960d09a26d070");
345 }
346 
347 BOOST_AUTO_TEST_CASE( divide )
348 {
349     arith_uint256 D1L("AD7133AC1977FA2B7");
350     arith_uint256 D2L("ECD751716");
351     BOOST_CHECK((R1L / D1L).ToString() == "00000000000000000b8ac01106981635d9ed112290f8895545a7654dde28fb3a");
352     BOOST_CHECK((R1L / D2L).ToString() == "000000000873ce8efec5b67150bad3aa8c5fcb70e947586153bf2cec7c37c57a");
353     BOOST_CHECK(R1L / OneL == R1L);
354     BOOST_CHECK(R1L / MaxL == ZeroL);
355     BOOST_CHECK(MaxL / R1L == 2);
356     BOOST_CHECK_THROW(R1L / ZeroL, uint_error);
357     BOOST_CHECK((R2L / D1L).ToString() == "000000000000000013e1665895a1cc981de6d93670105a6b3ec3b73141b3a3c5");
358     BOOST_CHECK((R2L / D2L).ToString() == "000000000e8f0abe753bb0afe2e9437ee85d280be60882cf0bd1aaf7fa3cc2c4");
359     BOOST_CHECK(R2L / OneL == R2L);
360     BOOST_CHECK(R2L / MaxL == ZeroL);
361     BOOST_CHECK(MaxL / R2L == 1);
362     BOOST_CHECK_THROW(R2L / ZeroL, uint_error);
363 }
364 
365 
366 static bool almostEqual(double d1, double d2)
367 {
368     return fabs(d1-d2) <= 4*fabs(d1)*std::numeric_limits<double>::epsilon();
369 }
370 
371 BOOST_AUTO_TEST_CASE( methods ) // GetHex SetHex size() GetLow64 GetSerializeSize, Serialize, Unserialize
372 {
373     BOOST_CHECK(R1L.GetHex() == R1L.ToString());
374     BOOST_CHECK(R2L.GetHex() == R2L.ToString());
375     BOOST_CHECK(OneL.GetHex() == OneL.ToString());
376     BOOST_CHECK(MaxL.GetHex() == MaxL.ToString());
377     arith_uint256 TmpL(R1L);
378     BOOST_CHECK(TmpL == R1L);
379     TmpL.SetHex(R2L.ToString());   BOOST_CHECK(TmpL == R2L);
380     TmpL.SetHex(ZeroL.ToString()); BOOST_CHECK(TmpL == 0);
381     TmpL.SetHex(HalfL.ToString()); BOOST_CHECK(TmpL == HalfL);
382 
383     TmpL.SetHex(R1L.ToString());
384     BOOST_CHECK(R1L.size() == 32);
385     BOOST_CHECK(R2L.size() == 32);
386     BOOST_CHECK(ZeroL.size() == 32);
387     BOOST_CHECK(MaxL.size() == 32);
388     BOOST_CHECK(R1L.GetLow64()  == R1LLow64);
389     BOOST_CHECK(HalfL.GetLow64() ==0x0000000000000000ULL);
390     BOOST_CHECK(OneL.GetLow64() ==0x0000000000000001ULL);
391 
392     for (unsigned int i = 0; i < 255; ++i)
393     {
394         BOOST_CHECK((OneL << i).getdouble() == ldexp(1.0,i));
395     }
396     BOOST_CHECK(ZeroL.getdouble() == 0.0);
397     for (int i = 256; i > 53; --i)
398         BOOST_CHECK(almostEqual((R1L>>(256-i)).getdouble(), ldexp(R1Ldouble,i)));
399     uint64_t R1L64part = (R1L>>192).GetLow64();
400     for (int i = 53; i > 0; --i) // doubles can store all integers in {0,...,2^54-1} exactly
401     {
402         BOOST_CHECK((R1L>>(256-i)).getdouble() == (double)(R1L64part >> (64-i)));
403     }
404 }
405 
406 BOOST_AUTO_TEST_CASE(bignum_SetCompact)
407 {
408     arith_uint256 num;
409     bool fNegative;
410     bool fOverflow;
411     num.SetCompact(0, &fNegative, &fOverflow);
412     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
413     BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
414     BOOST_CHECK_EQUAL(fNegative, false);
415     BOOST_CHECK_EQUAL(fOverflow, false);
416 
417     num.SetCompact(0x00123456, &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(0x01003456, &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(0x02000056, &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(0x03000000, &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(0x04000000, &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(0x00923456, &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(0x01803456, &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(0x02800056, &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(0x03800000, &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(0x04800000, &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(0x01123456, &fNegative, &fOverflow);
478     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000012");
479     BOOST_CHECK_EQUAL(num.GetCompact(), 0x01120000U);
480     BOOST_CHECK_EQUAL(fNegative, false);
481     BOOST_CHECK_EQUAL(fOverflow, false);
482 
483     // Make sure that we don't generate compacts with the 0x00800000 bit set
484     num = 0x80;
485     BOOST_CHECK_EQUAL(num.GetCompact(), 0x02008000U);
486 
487     num.SetCompact(0x01fedcba, &fNegative, &fOverflow);
488     BOOST_CHECK_EQUAL(num.GetHex(), "000000000000000000000000000000000000000000000000000000000000007e");
489     BOOST_CHECK_EQUAL(num.GetCompact(true), 0x01fe0000U);
490     BOOST_CHECK_EQUAL(fNegative, true);
491     BOOST_CHECK_EQUAL(fOverflow, false);
492 
493     num.SetCompact(0x02123456, &fNegative, &fOverflow);
494     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000001234");
495     BOOST_CHECK_EQUAL(num.GetCompact(), 0x02123400U);
496     BOOST_CHECK_EQUAL(fNegative, false);
497     BOOST_CHECK_EQUAL(fOverflow, false);
498 
499     num.SetCompact(0x03123456, &fNegative, &fOverflow);
500     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000123456");
501     BOOST_CHECK_EQUAL(num.GetCompact(), 0x03123456U);
502     BOOST_CHECK_EQUAL(fNegative, false);
503     BOOST_CHECK_EQUAL(fOverflow, false);
504 
505     num.SetCompact(0x04123456, &fNegative, &fOverflow);
506     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600");
507     BOOST_CHECK_EQUAL(num.GetCompact(), 0x04123456U);
508     BOOST_CHECK_EQUAL(fNegative, false);
509     BOOST_CHECK_EQUAL(fOverflow, false);
510 
511     num.SetCompact(0x04923456, &fNegative, &fOverflow);
512     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600");
513     BOOST_CHECK_EQUAL(num.GetCompact(true), 0x04923456U);
514     BOOST_CHECK_EQUAL(fNegative, true);
515     BOOST_CHECK_EQUAL(fOverflow, false);
516 
517     num.SetCompact(0x05009234, &fNegative, &fOverflow);
518     BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000092340000");
519     BOOST_CHECK_EQUAL(num.GetCompact(), 0x05009234U);
520     BOOST_CHECK_EQUAL(fNegative, false);
521     BOOST_CHECK_EQUAL(fOverflow, false);
522 
523     num.SetCompact(0x20123456, &fNegative, &fOverflow);
524     BOOST_CHECK_EQUAL(num.GetHex(), "1234560000000000000000000000000000000000000000000000000000000000");
525     BOOST_CHECK_EQUAL(num.GetCompact(), 0x20123456U);
526     BOOST_CHECK_EQUAL(fNegative, false);
527     BOOST_CHECK_EQUAL(fOverflow, false);
528 
529     num.SetCompact(0xff123456, &fNegative, &fOverflow);
530     BOOST_CHECK_EQUAL(fNegative, false);
531     BOOST_CHECK_EQUAL(fOverflow, true);
532 }
533 
534 
535 BOOST_AUTO_TEST_CASE( getmaxcoverage ) // some more tests just to get 100% coverage
536 {
537     // ~R1L give a base_uint<256>
538     BOOST_CHECK((~~R1L >> 10) == (R1L >> 10));
539     BOOST_CHECK((~~R1L << 10) == (R1L << 10));
540     BOOST_CHECK(!(~~R1L < R1L));
541     BOOST_CHECK(~~R1L <= R1L);
542     BOOST_CHECK(!(~~R1L > R1L));
543     BOOST_CHECK(~~R1L >= R1L);
544     BOOST_CHECK(!(R1L < ~~R1L));
545     BOOST_CHECK(R1L <= ~~R1L);
546     BOOST_CHECK(!(R1L > ~~R1L));
547     BOOST_CHECK(R1L >= ~~R1L);
548 
549     BOOST_CHECK(~~R1L + R2L == R1L + ~~R2L);
550     BOOST_CHECK(~~R1L - R2L == R1L - ~~R2L);
551     BOOST_CHECK(~R1L != R1L); BOOST_CHECK(R1L != ~R1L);
552     unsigned char TmpArray[32];
553     CHECKBITWISEOPERATOR(~R1,R2,|)
554     CHECKBITWISEOPERATOR(~R1,R2,^)
555     CHECKBITWISEOPERATOR(~R1,R2,&)
556     CHECKBITWISEOPERATOR(R1,~R2,|)
557     CHECKBITWISEOPERATOR(R1,~R2,^)
558     CHECKBITWISEOPERATOR(R1,~R2,&)
559 }
560 
561 BOOST_AUTO_TEST_SUITE_END()
562