Branch data Line data Source code
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 : 1932 : static inline arith_uint256 arith_uint256V(const std::vector<unsigned char>& vch)
22 : : {
23 : 1932 : return UintToArith256(uint256(vch));
24 : : }
25 : 14 : 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 : 6 : static std::string ArrayToString(const unsigned char A[], unsigned int width)
59 : : {
60 : 6 : std::stringstream Stream;
61 : 6 : Stream << std::hex;
62 [ + + ]: 198 : for (unsigned int i = 0; i < width; ++i)
63 : : {
64 [ + - + - ]: 192 : Stream<<std::setw(2)<<std::setfill('0')<<(unsigned int)A[width-i-1];
65 : : }
66 [ + - ]: 12 : return Stream.str();
67 : 6 : }
68 : :
69 [ + - + - : 7 : BOOST_AUTO_TEST_CASE( basics ) // constructors, equality, inequality
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70 : : {
71 [ + - ]: 2 : BOOST_CHECK(1 == 0+1);
72 : : // constructor arith_uint256(vector<char>):
73 [ + - + - : 2 : BOOST_CHECK(R1L.ToString() == ArrayToString(R1Array,32));
+ - ]
74 [ + - + - : 2 : BOOST_CHECK(R2L.ToString() == ArrayToString(R2Array,32));
+ - ]
75 [ + - + - : 2 : BOOST_CHECK(ZeroL.ToString() == ArrayToString(ZeroArray,32));
+ - ]
76 [ + - + - : 2 : BOOST_CHECK(OneL.ToString() == ArrayToString(OneArray,32));
+ - ]
77 [ + - + - : 2 : BOOST_CHECK(MaxL.ToString() == ArrayToString(MaxArray,32));
+ - ]
78 [ + - + - : 2 : BOOST_CHECK(OneL.ToString() != ArrayToString(ZeroArray,32));
+ - ]
79 : :
80 : : // == and !=
81 [ + - ]: 2 : BOOST_CHECK(R1L != R2L);
82 [ + - ]: 2 : BOOST_CHECK(ZeroL != OneL);
83 [ + - + - ]: 2 : BOOST_CHECK(OneL != ZeroL);
84 [ + - ]: 2 : BOOST_CHECK(MaxL != ZeroL);
85 [ + - ]: 2 : BOOST_CHECK(~MaxL == ZeroL);
86 [ + - ]: 2 : BOOST_CHECK( ((R1L ^ R2L) ^ R1L) == R2L);
87 : :
88 : 1 : uint64_t Tmp64 = 0xc4dab720d9c7acaaULL;
89 [ + + ]: 257 : for (unsigned int i = 0; i < 256; ++i)
90 : : {
91 [ + - + - ]: 512 : BOOST_CHECK(ZeroL != (OneL << i));
92 [ + - + - ]: 512 : BOOST_CHECK((OneL << i) != ZeroL);
93 [ + - + - ]: 512 : BOOST_CHECK(R1L != (R1L ^ (OneL << i)));
94 [ + - + - : 768 : BOOST_CHECK(((arith_uint256(Tmp64) ^ (OneL << i) ) != Tmp64 ));
+ - ]
95 : : }
96 [ + - + - ]: 2 : BOOST_CHECK(ZeroL == (OneL << 256));
97 : :
98 : : // String Constructor and Copy Constructor
99 [ + - + - : 2 : BOOST_CHECK(arith_uint256S("0x" + R1L.ToString()) == R1L);
+ - + - ]
100 [ + - + - : 2 : BOOST_CHECK(arith_uint256S("0x" + R2L.ToString()) == R2L);
+ - + - ]
101 [ + - + - : 2 : BOOST_CHECK(arith_uint256S("0x" + ZeroL.ToString()) == ZeroL);
+ - + - ]
102 [ + - + - : 2 : BOOST_CHECK(arith_uint256S("0x" + OneL.ToString()) == OneL);
+ - + - ]
103 [ + - + - : 2 : BOOST_CHECK(arith_uint256S("0x" + MaxL.ToString()) == MaxL);
+ - + - ]
104 [ + - + - : 2 : BOOST_CHECK(arith_uint256S(R1L.ToString()) == R1L);
+ - ]
105 [ + - + - : 3 : BOOST_CHECK(arith_uint256S(" 0x" + R1L.ToString() + " ") == R1L);
+ - + - ]
106 [ + - + - : 2 : BOOST_CHECK(arith_uint256S("") == ZeroL);
+ - ]
107 [ + - + - : 2 : BOOST_CHECK(R1L == arith_uint256S(R1ArrayHex));
+ - ]
108 [ + - ]: 3 : BOOST_CHECK(arith_uint256(R1L) == R1L);
109 [ + - ]: 3 : BOOST_CHECK((arith_uint256(R1L^R2L)^R2L) == R1L);
110 [ + - ]: 3 : BOOST_CHECK(arith_uint256(ZeroL) == ZeroL);
111 [ + - ]: 3 : BOOST_CHECK(arith_uint256(OneL) == OneL);
112 : :
113 : : // uint64_t constructor
114 [ + - + - : 3 : BOOST_CHECK((R1L & arith_uint256S("0xffffffffffffffff")) == arith_uint256(R1LLow64));
+ - ]
115 [ + - ]: 3 : BOOST_CHECK(ZeroL == arith_uint256(0));
116 [ + - ]: 3 : BOOST_CHECK(OneL == arith_uint256(1));
117 [ + - + - : 3 : BOOST_CHECK(arith_uint256S("0xffffffffffffffff") == arith_uint256(0xffffffffffffffffULL));
+ - ]
118 : :
119 : : // Assignment (from base_uint)
120 [ + - ]: 3 : arith_uint256 tmpL = ~ZeroL; BOOST_CHECK(tmpL == ~ZeroL);
121 [ + + + - ]: 11 : tmpL = ~OneL; BOOST_CHECK(tmpL == ~OneL);
122 [ + + + - ]: 11 : tmpL = ~R1L; BOOST_CHECK(tmpL == ~R1L);
123 [ + + + - ]: 11 : tmpL = ~R2L; BOOST_CHECK(tmpL == ~R2L);
124 [ + + + - ]: 11 : tmpL = ~MaxL; BOOST_CHECK(tmpL == ~MaxL);
125 : 1 : }
126 : :
127 : 512 : static void shiftArrayRight(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift)
128 : : {
129 [ + + ]: 16896 : for (unsigned int T=0; T < arrayLength; ++T)
130 : : {
131 : 16384 : unsigned int F = (T+bitsToShift/8);
132 [ + + ]: 16384 : if (F < arrayLength)
133 : 8448 : to[T] = uint8_t(from[F] >> (bitsToShift % 8));
134 : : else
135 : 7936 : to[T] = 0;
136 [ + + ]: 16384 : if (F + 1 < arrayLength)
137 : 7936 : to[T] |= uint8_t(from[(F + 1)] << (8 - bitsToShift % 8));
138 : : }
139 : 512 : }
140 : :
141 : 768 : static void shiftArrayLeft(unsigned char* to, const unsigned char* from, unsigned int arrayLength, unsigned int bitsToShift)
142 : : {
143 [ + + ]: 25344 : for (unsigned int T=0; T < arrayLength; ++T)
144 : : {
145 [ + + ]: 24576 : if (T >= bitsToShift/8)
146 : : {
147 : 12672 : unsigned int F = T-bitsToShift/8;
148 : 12672 : to[T] = uint8_t(from[F] << (bitsToShift % 8));
149 [ + + ]: 12672 : if (T >= bitsToShift/8+1)
150 : 11904 : to[T] |= uint8_t(from[F - 1] >> (8 - bitsToShift % 8));
151 : : }
152 : : else {
153 : 11904 : to[T] = 0;
154 : : }
155 : : }
156 : 768 : }
157 : :
158 [ + - + - : 7 : BOOST_AUTO_TEST_CASE( shifts ) { // "<<" ">>" "<<=" ">>="
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159 : 1 : unsigned char TmpArray[32];
160 : 1 : arith_uint256 TmpL;
161 [ + + ]: 257 : for (unsigned int i = 0; i < 256; ++i)
162 : : {
163 : 256 : shiftArrayLeft(TmpArray, OneArray, 32, i);
164 [ + - + - : 512 : BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (OneL << i));
+ - + - ]
165 : 256 : TmpL = OneL; TmpL <<= i;
166 [ + - + - ]: 512 : BOOST_CHECK(TmpL == (OneL << i));
167 [ + - + - : 512 : BOOST_CHECK((HalfL >> (255-i)) == (OneL << i));
+ - ]
168 : 256 : TmpL = HalfL; TmpL >>= (255-i);
169 [ + - + - ]: 512 : BOOST_CHECK(TmpL == (OneL << i));
170 : :
171 : 256 : shiftArrayLeft(TmpArray, R1Array, 32, i);
172 [ + - + - : 512 : BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L << i));
+ - + - ]
173 : 256 : TmpL = R1L; TmpL <<= i;
174 [ + - + - ]: 512 : BOOST_CHECK(TmpL == (R1L << i));
175 : :
176 : 256 : shiftArrayRight(TmpArray, R1Array, 32, i);
177 [ + - + - : 512 : BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (R1L >> i));
+ - + - ]
178 : 256 : TmpL = R1L; TmpL >>= i;
179 [ + - + - ]: 512 : BOOST_CHECK(TmpL == (R1L >> i));
180 : :
181 : 256 : shiftArrayLeft(TmpArray, MaxArray, 32, i);
182 [ + - + - : 512 : BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL << i));
+ - + - ]
183 : 256 : TmpL = MaxL; TmpL <<= i;
184 [ + - + - ]: 512 : BOOST_CHECK(TmpL == (MaxL << i));
185 : :
186 : 256 : shiftArrayRight(TmpArray, MaxArray, 32, i);
187 [ + - + - : 512 : BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (MaxL >> i));
+ - + - ]
188 : 256 : TmpL = MaxL; TmpL >>= i;
189 [ + - + - ]: 512 : BOOST_CHECK(TmpL == (MaxL >> i));
190 : : }
191 : 1 : arith_uint256 c1L = arith_uint256(0x0123456789abcdefULL);
192 : 1 : arith_uint256 c2L = c1L << 128;
193 [ + + ]: 129 : for (unsigned int i = 0; i < 128; ++i) {
194 [ + - + - : 256 : BOOST_CHECK((c1L << i) == (c2L >> (128-i)));
+ - ]
195 : : }
196 [ + + ]: 129 : for (unsigned int i = 128; i < 256; ++i) {
197 [ + - + - : 256 : BOOST_CHECK((c1L << i) == (c2L << (i-128)));
+ - ]
198 : : }
199 : 1 : }
200 : :
201 [ + - + - : 7 : BOOST_AUTO_TEST_CASE( unaryOperators ) // ! ~ -
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202 : : {
203 [ + - ]: 2 : BOOST_CHECK(~ZeroL == MaxL);
204 : :
205 : 1 : unsigned char TmpArray[32];
206 [ + + ]: 33 : for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = uint8_t(~R1Array[i]); }
207 [ + - + - : 2 : BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (~R1L));
+ - ]
208 : :
209 [ + - ]: 2 : BOOST_CHECK(-ZeroL == ZeroL);
210 [ + - + - ]: 3 : BOOST_CHECK(-R1L == (~R1L)+1);
211 [ + + ]: 257 : for (unsigned int i = 0; i < 256; ++i)
212 [ + - + - : 512 : BOOST_CHECK(-(OneL<<i) == (MaxL << i));
+ - ]
213 : 1 : }
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 [ + - + - : 7 : BOOST_AUTO_TEST_CASE( bitwiseOperators )
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226 : : {
227 : 1 : unsigned char TmpArray[32];
228 : :
229 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,R2,|)
+ - + - ]
230 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,R2,^)
+ - + - ]
231 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,R2,&)
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232 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,Zero,|)
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233 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,Zero,^)
+ - + - ]
234 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,Zero,&)
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235 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,Max,|)
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236 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,Max,^)
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237 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,Max,&)
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238 [ + + + - : 34 : CHECKBITWISEOPERATOR(Zero,R1,|)
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239 [ + + + - : 34 : CHECKBITWISEOPERATOR(Zero,R1,^)
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240 [ + + + - : 34 : CHECKBITWISEOPERATOR(Zero,R1,&)
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241 [ + + + - : 34 : CHECKBITWISEOPERATOR(Max,R1,|)
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242 [ + + + - : 34 : CHECKBITWISEOPERATOR(Max,R1,^)
+ - + - ]
243 [ + + + - : 34 : CHECKBITWISEOPERATOR(Max,R1,&)
+ - + - ]
244 : :
245 [ + + ]: 10 : arith_uint256 TmpL;
246 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(R1,R2,|)
247 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(R1,R2,^)
248 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(R1,R2,&)
249 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(R1,Zero,|)
250 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(R1,Zero,^)
251 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(R1,Zero,&)
252 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(R1,Max,|)
253 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(R1,Max,^)
254 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(R1,Max,&)
255 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(Zero,R1,|)
256 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(Zero,R1,^)
257 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(Zero,R1,&)
258 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(Max,R1,|)
259 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(Max,R1,^)
260 [ + + + - ]: 10 : CHECKASSIGNMENTOPERATOR(Max,R1,&)
261 : :
262 : 1 : uint64_t Tmp64 = 0xe1db685c9a0b47a2ULL;
263 [ + - ]: 4 : TmpL = R1L; TmpL |= Tmp64; BOOST_CHECK(TmpL == (R1L | arith_uint256(Tmp64)));
264 [ + - ]: 2 : TmpL = R1L; TmpL |= 0; BOOST_CHECK(TmpL == R1L);
265 [ + - ]: 2 : TmpL ^= 0; BOOST_CHECK(TmpL == R1L);
266 [ + - ]: 3 : TmpL ^= Tmp64; BOOST_CHECK(TmpL == (R1L ^ arith_uint256(Tmp64)));
267 : 1 : }
268 : :
269 [ + - + - : 7 : BOOST_AUTO_TEST_CASE( comparison ) // <= >= < >
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270 : : {
271 : 1 : arith_uint256 TmpL;
272 [ + + ]: 257 : for (unsigned int i = 0; i < 256; ++i) {
273 [ + + ]: 2560 : TmpL= OneL<< i;
274 [ + - + - : 1280 : BOOST_CHECK( TmpL >= ZeroL && TmpL > ZeroL && ZeroL < TmpL && ZeroL <= TmpL);
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275 [ + - + - : 1536 : BOOST_CHECK( TmpL >= 0 && TmpL > 0 && 0 < TmpL && 0 <= TmpL);
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276 : 256 : TmpL |= R1L;
277 [ + - + - : 1286 : BOOST_CHECK( TmpL >= R1L ); BOOST_CHECK( (TmpL == R1L) != (TmpL > R1L)); BOOST_CHECK( (TmpL == R1L) || !( TmpL <= R1L));
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278 [ + - + - : 1286 : BOOST_CHECK( R1L <= TmpL ); BOOST_CHECK( (R1L == TmpL) != (R1L < TmpL)); BOOST_CHECK( (TmpL == R1L) || !( R1L >= TmpL));
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279 [ + - + - : 768 : BOOST_CHECK(! (TmpL < R1L)); BOOST_CHECK(! (R1L > TmpL));
+ - + - ]
280 : : }
281 : 1 : }
282 : :
283 [ + - + - : 7 : BOOST_AUTO_TEST_CASE( plusMinus )
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284 : : {
285 : 1 : arith_uint256 TmpL = 0;
286 [ + - + - : 2 : BOOST_CHECK(R1L + R2L == arith_uint256S(R1LplusR2L));
+ - ]
287 : 1 : TmpL += R1L;
288 [ + - ]: 2 : BOOST_CHECK(TmpL == R1L);
289 : 1 : TmpL += R2L;
290 [ + - ]: 2 : BOOST_CHECK(TmpL == R1L + R2L);
291 [ + - ]: 2 : BOOST_CHECK(OneL+MaxL == ZeroL);
292 [ + - ]: 2 : BOOST_CHECK(MaxL+OneL == ZeroL);
293 [ + + ]: 256 : for (unsigned int i = 1; i < 256; ++i) {
294 [ + - + - : 510 : BOOST_CHECK( (MaxL >> i) + OneL == (HalfL >> (i-1)) );
+ - ]
295 [ + - + - : 510 : BOOST_CHECK( OneL + (MaxL >> i) == (HalfL >> (i-1)) );
+ - ]
296 [ + + ]: 2550 : TmpL = (MaxL>>i); TmpL += OneL;
297 [ + - + - ]: 510 : BOOST_CHECK( TmpL == (HalfL >> (i-1)) );
298 [ + + ]: 2550 : TmpL = (MaxL>>i); TmpL += 1;
299 [ + - + - ]: 510 : BOOST_CHECK( TmpL == (HalfL >> (i-1)) );
300 [ + + ]: 2550 : TmpL = (MaxL>>i);
301 [ + - + - ]: 765 : BOOST_CHECK( TmpL++ == (MaxL>>i) );
302 [ + - + - ]: 510 : BOOST_CHECK( TmpL == (HalfL >> (i-1)));
303 : : }
304 [ + - ]: 5 : BOOST_CHECK(arith_uint256(0xbedc77e27940a7ULL) + 0xee8d836fce66fbULL == arith_uint256(0xbedc77e27940a7ULL + 0xee8d836fce66fbULL));
305 [ + + ]: 10 : TmpL = arith_uint256(0xbedc77e27940a7ULL); TmpL += 0xee8d836fce66fbULL;
306 [ + - ]: 3 : BOOST_CHECK(TmpL == arith_uint256(0xbedc77e27940a7ULL+0xee8d836fce66fbULL));
307 [ + - + - ]: 2 : TmpL -= 0xee8d836fce66fbULL; BOOST_CHECK(TmpL == 0xbedc77e27940a7ULL);
308 : 1 : TmpL = R1L;
309 [ + - ]: 4 : BOOST_CHECK(++TmpL == R1L+1);
310 : :
311 [ + - ]: 2 : BOOST_CHECK(R1L -(-R2L) == R1L+R2L);
312 [ + - ]: 2 : BOOST_CHECK(R1L -(-OneL) == R1L+OneL);
313 [ + - ]: 2 : BOOST_CHECK(R1L - OneL == R1L+(-OneL));
314 [ + + ]: 256 : for (unsigned int i = 1; i < 256; ++i) {
315 [ + - + - : 510 : BOOST_CHECK((MaxL>>i) - (-OneL) == (HalfL >> (i-1)));
+ - ]
316 [ + - + - : 510 : BOOST_CHECK((HalfL >> (i-1)) - OneL == (MaxL>>i));
+ - ]
317 [ + + ]: 2550 : TmpL = (HalfL >> (i-1));
318 [ + - + - ]: 765 : BOOST_CHECK(TmpL-- == (HalfL >> (i-1)));
319 [ + - + - ]: 510 : BOOST_CHECK(TmpL == (MaxL >> i));
320 [ + + ]: 2550 : TmpL = (HalfL >> (i-1));
321 [ + - + - ]: 765 : BOOST_CHECK(--TmpL == (MaxL >> i));
322 : : }
323 : 1 : TmpL = R1L;
324 [ + - ]: 4 : BOOST_CHECK(--TmpL == R1L-1);
325 : 1 : }
326 : :
327 [ + - + - : 7 : BOOST_AUTO_TEST_CASE( multiply )
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- ]
328 : : {
329 [ + - + - : 2 : BOOST_CHECK((R1L * R1L).ToString() == "62a38c0486f01e45879d7910a7761bf30d5237e9873f9bff3642a732c4d84f10");
+ - ]
330 [ + - + - : 2 : BOOST_CHECK((R1L * R2L).ToString() == "de37805e9986996cfba76ff6ba51c008df851987d9dd323f0e5de07760529c40");
+ - ]
331 [ + - + - ]: 2 : BOOST_CHECK((R1L * ZeroL) == ZeroL);
332 [ + - + - ]: 2 : BOOST_CHECK((R1L * OneL) == R1L);
333 [ + - + - ]: 2 : BOOST_CHECK((R1L * MaxL) == -R1L);
334 [ + - + - : 2 : BOOST_CHECK((R2L * R1L) == (R1L * R2L));
+ - ]
335 [ + - + - : 2 : BOOST_CHECK((R2L * R2L).ToString() == "ac8c010096767d3cae5005dec28bb2b45a1d85ab7996ccd3e102a650f74ff100");
+ - ]
336 [ + - + - ]: 2 : BOOST_CHECK((R2L * ZeroL) == ZeroL);
337 [ + - + - ]: 2 : BOOST_CHECK((R2L * OneL) == R2L);
338 [ + - + - ]: 2 : BOOST_CHECK((R2L * MaxL) == -R2L);
339 : :
340 [ + - + - ]: 2 : BOOST_CHECK(MaxL * MaxL == OneL);
341 : :
342 [ + - + - ]: 3 : BOOST_CHECK((R1L * 0) == 0);
343 [ + - + - ]: 2 : BOOST_CHECK((R1L * 1) == R1L);
344 [ + - + - : 2 : BOOST_CHECK((R1L * 3).ToString() == "7759b1c0ed14047f961ad09b20ff83687876a0181a367b813634046f91def7d4");
+ - ]
345 [ + - + - : 2 : BOOST_CHECK((R2L * 0x87654321UL).ToString() == "23f7816e30c4ae2017257b7a0fa64d60402f5234d46e746b61c960d09a26d070");
+ - ]
346 : 1 : }
347 : :
348 [ + - + - : 7 : BOOST_AUTO_TEST_CASE( divide )
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- ]
349 : : {
350 [ + - ]: 1 : arith_uint256 D1L{arith_uint256S("AD7133AC1977FA2B7")};
351 [ + - ]: 1 : arith_uint256 D2L{arith_uint256S("ECD751716")};
352 [ + - + - : 2 : BOOST_CHECK((R1L / D1L).ToString() == "00000000000000000b8ac01106981635d9ed112290f8895545a7654dde28fb3a");
+ - ]
353 [ + - + - : 2 : BOOST_CHECK((R1L / D2L).ToString() == "000000000873ce8efec5b67150bad3aa8c5fcb70e947586153bf2cec7c37c57a");
+ - ]
354 [ + - + - ]: 2 : BOOST_CHECK(R1L / OneL == R1L);
355 [ + - + - ]: 2 : BOOST_CHECK(R1L / MaxL == ZeroL);
356 [ + - + - : 3 : BOOST_CHECK(MaxL / R1L == 2);
+ - ]
357 [ + - - + : 2 : BOOST_CHECK_THROW(R1L / ZeroL, uint_error);
- - - - -
+ + - +
- ]
358 [ + - + - : 2 : BOOST_CHECK((R2L / D1L).ToString() == "000000000000000013e1665895a1cc981de6d93670105a6b3ec3b73141b3a3c5");
+ - ]
359 [ + - + - : 2 : BOOST_CHECK((R2L / D2L).ToString() == "000000000e8f0abe753bb0afe2e9437ee85d280be60882cf0bd1aaf7fa3cc2c4");
+ - ]
360 [ + - + - ]: 2 : BOOST_CHECK(R2L / OneL == R2L);
361 [ + - + - ]: 2 : BOOST_CHECK(R2L / MaxL == ZeroL);
362 [ + - + - : 3 : BOOST_CHECK(MaxL / R2L == 1);
+ - ]
363 [ + - - + : 2 : BOOST_CHECK_THROW(R2L / ZeroL, uint_error);
- - - - -
+ + - +
- ]
364 : 1 : }
365 : :
366 : :
367 : 203 : static bool almostEqual(double d1, double d2)
368 : : {
369 : 203 : return fabs(d1-d2) <= 4*fabs(d1)*std::numeric_limits<double>::epsilon();
370 : : }
371 : :
372 [ + - + - : 7 : BOOST_AUTO_TEST_CASE(methods) // GetHex operator= size() GetLow64 GetSerializeSize, Serialize, Unserialize
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- ]
373 : : {
374 [ + - + - : 2 : BOOST_CHECK(R1L.GetHex() == R1L.ToString());
+ - ]
375 [ + - + - : 2 : BOOST_CHECK(R2L.GetHex() == R2L.ToString());
+ - ]
376 [ + - + - : 2 : BOOST_CHECK(OneL.GetHex() == OneL.ToString());
+ - ]
377 [ + - + - : 2 : BOOST_CHECK(MaxL.GetHex() == MaxL.ToString());
+ - ]
378 : 1 : arith_uint256 TmpL(R1L);
379 [ + - ]: 2 : BOOST_CHECK(TmpL == R1L);
380 : 1 : TmpL = R2L;
381 [ + - ]: 2 : BOOST_CHECK(TmpL == R2L);
382 : 1 : TmpL = ZeroL;
383 [ + - + - ]: 2 : BOOST_CHECK(TmpL == 0);
384 : 1 : TmpL = HalfL;
385 [ + - ]: 2 : BOOST_CHECK(TmpL == HalfL);
386 : :
387 : 1 : TmpL = R1L;
388 [ + - ]: 2 : BOOST_CHECK(R1L.size() == 32);
389 [ + - ]: 2 : BOOST_CHECK(R2L.size() == 32);
390 [ + - ]: 2 : BOOST_CHECK(ZeroL.size() == 32);
391 [ + - ]: 2 : BOOST_CHECK(MaxL.size() == 32);
392 [ + - ]: 2 : BOOST_CHECK(R1L.GetLow64() == R1LLow64);
393 [ + - ]: 2 : BOOST_CHECK(HalfL.GetLow64() ==0x0000000000000000ULL);
394 [ + - ]: 2 : BOOST_CHECK(OneL.GetLow64() ==0x0000000000000001ULL);
395 : :
396 [ + + ]: 256 : for (unsigned int i = 0; i < 255; ++i)
397 : : {
398 [ + - + - : 510 : BOOST_CHECK((OneL << i).getdouble() == ldexp(1.0,i));
+ - ]
399 : : }
400 [ + - + - ]: 2 : BOOST_CHECK(ZeroL.getdouble() == 0.0);
401 [ + + ]: 204 : for (int i = 256; i > 53; --i)
402 [ + - + - : 406 : BOOST_CHECK(almostEqual((R1L>>(256-i)).getdouble(), ldexp(R1Ldouble,i)));
+ - ]
403 : 1 : uint64_t R1L64part = (R1L>>192).GetLow64();
404 [ + + ]: 54 : for (int i = 53; i > 0; --i) // doubles can store all integers in {0,...,2^54-1} exactly
405 : : {
406 [ + - + - : 106 : BOOST_CHECK((R1L>>(256-i)).getdouble() == (double)(R1L64part >> (64-i)));
+ - ]
407 : : }
408 : 1 : }
409 : :
410 [ + - + - : 7 : BOOST_AUTO_TEST_CASE(bignum_SetCompact)
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- ]
411 : : {
412 : 1 : arith_uint256 num;
413 : 1 : bool fNegative;
414 : 1 : bool fOverflow;
415 : 1 : num.SetCompact(0, &fNegative, &fOverflow);
416 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
417 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
418 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
419 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
420 : :
421 : 1 : num.SetCompact(0x00123456, &fNegative, &fOverflow);
422 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
423 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
424 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
425 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
426 : :
427 : 1 : num.SetCompact(0x01003456, &fNegative, &fOverflow);
428 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
429 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
430 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
431 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
432 : :
433 : 1 : num.SetCompact(0x02000056, &fNegative, &fOverflow);
434 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
435 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
436 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
437 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
438 : :
439 : 1 : num.SetCompact(0x03000000, &fNegative, &fOverflow);
440 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
441 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
442 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
443 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
444 : :
445 : 1 : num.SetCompact(0x04000000, &fNegative, &fOverflow);
446 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
447 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
448 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
449 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
450 : :
451 : 1 : num.SetCompact(0x00923456, &fNegative, &fOverflow);
452 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
453 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
454 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
455 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
456 : :
457 : 1 : num.SetCompact(0x01803456, &fNegative, &fOverflow);
458 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
459 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
460 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
461 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
462 : :
463 : 1 : num.SetCompact(0x02800056, &fNegative, &fOverflow);
464 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
465 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
466 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
467 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
468 : :
469 : 1 : num.SetCompact(0x03800000, &fNegative, &fOverflow);
470 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
471 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
472 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
473 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
474 : :
475 : 1 : num.SetCompact(0x04800000, &fNegative, &fOverflow);
476 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000000");
477 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0U);
478 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
479 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
480 : :
481 : 1 : num.SetCompact(0x01123456, &fNegative, &fOverflow);
482 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000000012");
483 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0x01120000U);
484 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
485 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
486 : :
487 : : // Make sure that we don't generate compacts with the 0x00800000 bit set
488 [ + + ]: 10 : num = 0x80;
489 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0x02008000U);
490 : :
491 : 1 : num.SetCompact(0x01fedcba, &fNegative, &fOverflow);
492 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "000000000000000000000000000000000000000000000000000000000000007e");
493 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(true), 0x01fe0000U);
494 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, true);
495 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
496 : :
497 : 1 : num.SetCompact(0x02123456, &fNegative, &fOverflow);
498 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000001234");
499 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0x02123400U);
500 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
501 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
502 : :
503 : 1 : num.SetCompact(0x03123456, &fNegative, &fOverflow);
504 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000000123456");
505 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0x03123456U);
506 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
507 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
508 : :
509 : 1 : num.SetCompact(0x04123456, &fNegative, &fOverflow);
510 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600");
511 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0x04123456U);
512 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
513 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
514 : :
515 : 1 : num.SetCompact(0x04923456, &fNegative, &fOverflow);
516 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000012345600");
517 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(true), 0x04923456U);
518 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, true);
519 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
520 : :
521 : 1 : num.SetCompact(0x05009234, &fNegative, &fOverflow);
522 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "0000000000000000000000000000000000000000000000000000000092340000");
523 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0x05009234U);
524 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
525 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
526 : :
527 : 1 : num.SetCompact(0x20123456, &fNegative, &fOverflow);
528 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetHex(), "1234560000000000000000000000000000000000000000000000000000000000");
529 [ + - ]: 1 : BOOST_CHECK_EQUAL(num.GetCompact(), 0x20123456U);
530 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
531 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, false);
532 : :
533 : 1 : num.SetCompact(0xff123456, &fNegative, &fOverflow);
534 [ + - ]: 1 : BOOST_CHECK_EQUAL(fNegative, false);
535 [ + - ]: 1 : BOOST_CHECK_EQUAL(fOverflow, true);
536 : 1 : }
537 : :
538 : :
539 [ + - + - : 7 : BOOST_AUTO_TEST_CASE( getmaxcoverage ) // some more tests just to get 100% coverage
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- + - + -
+ - + - +
- ]
540 : : {
541 : : // ~R1L give a base_uint<256>
542 [ + - + - : 2 : BOOST_CHECK((~~R1L >> 10) == (R1L >> 10));
+ - ]
543 [ + - + - : 2 : BOOST_CHECK((~~R1L << 10) == (R1L << 10));
+ - ]
544 [ + - + - ]: 2 : BOOST_CHECK(!(~~R1L < R1L));
545 [ + - + - ]: 2 : BOOST_CHECK(~~R1L <= R1L);
546 [ + - + - ]: 2 : BOOST_CHECK(!(~~R1L > R1L));
547 [ + - + - ]: 2 : BOOST_CHECK(~~R1L >= R1L);
548 [ + - + - ]: 2 : BOOST_CHECK(!(R1L < ~~R1L));
549 [ + - + - ]: 2 : BOOST_CHECK(R1L <= ~~R1L);
550 [ + - + - ]: 2 : BOOST_CHECK(!(R1L > ~~R1L));
551 [ + - + - ]: 2 : BOOST_CHECK(R1L >= ~~R1L);
552 : :
553 [ + - ]: 2 : BOOST_CHECK(~~R1L + R2L == R1L + ~~R2L);
554 [ + - ]: 2 : BOOST_CHECK(~~R1L - R2L == R1L - ~~R2L);
555 [ + - + - ]: 3 : BOOST_CHECK(~R1L != R1L); BOOST_CHECK(R1L != ~R1L);
556 : 1 : unsigned char TmpArray[32];
557 [ + + + - : 34 : CHECKBITWISEOPERATOR(~R1,R2,|)
+ - + - ]
558 [ + + + - : 34 : CHECKBITWISEOPERATOR(~R1,R2,^)
+ - + - ]
559 [ + + + - : 34 : CHECKBITWISEOPERATOR(~R1,R2,&)
+ - + - ]
560 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,~R2,|)
+ - + - ]
561 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,~R2,^)
+ - + - ]
562 [ + + + - : 34 : CHECKBITWISEOPERATOR(R1,~R2,&)
+ - + - ]
563 : 1 : }
564 : :
565 : : BOOST_AUTO_TEST_SUITE_END()
|
