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1// Copyright (c) 2009-2010 Satoshi Nakamoto
2// Copyright (c) 2009-2014 The Bitcoin developers
3// Distributed under the MIT software license, see the accompanying
4// file COPYING or http://www.opensource.org/licenses/mit-license.php.
5
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6#ifndef BITCOIN_ARITH_UINT256_H
7#define BITCOIN_ARITH_UINT256_H
8
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9#include <assert.h>
10#include <cstring>
11#include <stdexcept>
12#include <stdint.h>
13#include <string>
14#include <vector>
5d3064bc 15
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16class uint256;
17
bfc60703 18class uint_error : public std::runtime_error {
5d3064bc 19public:
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20 explicit uint_error(const std::string& str) : std::runtime_error(str) {}
21};
22
23/** Template base class for unsigned big integers. */
24template<unsigned int BITS>
25class base_uint
26{
27protected:
28 enum { WIDTH=BITS/32 };
29 uint32_t pn[WIDTH];
30public:
31
32 base_uint()
33 {
34 for (int i = 0; i < WIDTH; i++)
35 pn[i] = 0;
36 }
37
38 base_uint(const base_uint& b)
39 {
40 for (int i = 0; i < WIDTH; i++)
41 pn[i] = b.pn[i];
42 }
43
44 base_uint& operator=(const base_uint& b)
45 {
46 for (int i = 0; i < WIDTH; i++)
47 pn[i] = b.pn[i];
48 return *this;
49 }
50
51 base_uint(uint64_t b)
52 {
53 pn[0] = (unsigned int)b;
54 pn[1] = (unsigned int)(b >> 32);
55 for (int i = 2; i < WIDTH; i++)
56 pn[i] = 0;
57 }
58
59 explicit base_uint(const std::string& str);
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60
61 bool operator!() const
62 {
63 for (int i = 0; i < WIDTH; i++)
64 if (pn[i] != 0)
65 return false;
66 return true;
67 }
68
69 const base_uint operator~() const
70 {
71 base_uint ret;
72 for (int i = 0; i < WIDTH; i++)
73 ret.pn[i] = ~pn[i];
74 return ret;
75 }
76
77 const base_uint operator-() const
78 {
79 base_uint ret;
80 for (int i = 0; i < WIDTH; i++)
81 ret.pn[i] = ~pn[i];
82 ret++;
83 return ret;
84 }
85
86 double getdouble() const;
87
88 base_uint& operator=(uint64_t b)
89 {
90 pn[0] = (unsigned int)b;
91 pn[1] = (unsigned int)(b >> 32);
92 for (int i = 2; i < WIDTH; i++)
93 pn[i] = 0;
94 return *this;
95 }
96
97 base_uint& operator^=(const base_uint& b)
98 {
99 for (int i = 0; i < WIDTH; i++)
100 pn[i] ^= b.pn[i];
101 return *this;
102 }
103
104 base_uint& operator&=(const base_uint& b)
105 {
106 for (int i = 0; i < WIDTH; i++)
107 pn[i] &= b.pn[i];
108 return *this;
109 }
110
111 base_uint& operator|=(const base_uint& b)
112 {
113 for (int i = 0; i < WIDTH; i++)
114 pn[i] |= b.pn[i];
115 return *this;
116 }
117
118 base_uint& operator^=(uint64_t b)
119 {
120 pn[0] ^= (unsigned int)b;
121 pn[1] ^= (unsigned int)(b >> 32);
122 return *this;
123 }
124
125 base_uint& operator|=(uint64_t b)
126 {
127 pn[0] |= (unsigned int)b;
128 pn[1] |= (unsigned int)(b >> 32);
129 return *this;
130 }
131
132 base_uint& operator<<=(unsigned int shift);
133 base_uint& operator>>=(unsigned int shift);
134
135 base_uint& operator+=(const base_uint& b)
136 {
137 uint64_t carry = 0;
138 for (int i = 0; i < WIDTH; i++)
139 {
140 uint64_t n = carry + pn[i] + b.pn[i];
141 pn[i] = n & 0xffffffff;
142 carry = n >> 32;
143 }
144 return *this;
145 }
146
147 base_uint& operator-=(const base_uint& b)
148 {
149 *this += -b;
150 return *this;
151 }
152
153 base_uint& operator+=(uint64_t b64)
154 {
155 base_uint b;
156 b = b64;
157 *this += b;
158 return *this;
159 }
160
161 base_uint& operator-=(uint64_t b64)
162 {
163 base_uint b;
164 b = b64;
165 *this += -b;
166 return *this;
167 }
168
169 base_uint& operator*=(uint32_t b32);
170 base_uint& operator*=(const base_uint& b);
171 base_uint& operator/=(const base_uint& b);
172
173 base_uint& operator++()
174 {
175 // prefix operator
176 int i = 0;
177 while (++pn[i] == 0 && i < WIDTH-1)
178 i++;
179 return *this;
180 }
181
182 const base_uint operator++(int)
183 {
184 // postfix operator
185 const base_uint ret = *this;
186 ++(*this);
187 return ret;
188 }
189
190 base_uint& operator--()
191 {
192 // prefix operator
193 int i = 0;
194 while (--pn[i] == (uint32_t)-1 && i < WIDTH-1)
195 i++;
196 return *this;
197 }
198
199 const base_uint operator--(int)
200 {
201 // postfix operator
202 const base_uint ret = *this;
203 --(*this);
204 return ret;
205 }
206
207 int CompareTo(const base_uint& b) const;
208 bool EqualTo(uint64_t b) const;
209
210 friend inline const base_uint operator+(const base_uint& a, const base_uint& b) { return base_uint(a) += b; }
211 friend inline const base_uint operator-(const base_uint& a, const base_uint& b) { return base_uint(a) -= b; }
212 friend inline const base_uint operator*(const base_uint& a, const base_uint& b) { return base_uint(a) *= b; }
213 friend inline const base_uint operator/(const base_uint& a, const base_uint& b) { return base_uint(a) /= b; }
214 friend inline const base_uint operator|(const base_uint& a, const base_uint& b) { return base_uint(a) |= b; }
215 friend inline const base_uint operator&(const base_uint& a, const base_uint& b) { return base_uint(a) &= b; }
216 friend inline const base_uint operator^(const base_uint& a, const base_uint& b) { return base_uint(a) ^= b; }
217 friend inline const base_uint operator>>(const base_uint& a, int shift) { return base_uint(a) >>= shift; }
218 friend inline const base_uint operator<<(const base_uint& a, int shift) { return base_uint(a) <<= shift; }
219 friend inline const base_uint operator*(const base_uint& a, uint32_t b) { return base_uint(a) *= b; }
220 friend inline bool operator==(const base_uint& a, const base_uint& b) { return memcmp(a.pn, b.pn, sizeof(a.pn)) == 0; }
221 friend inline bool operator!=(const base_uint& a, const base_uint& b) { return memcmp(a.pn, b.pn, sizeof(a.pn)) != 0; }
222 friend inline bool operator>(const base_uint& a, const base_uint& b) { return a.CompareTo(b) > 0; }
223 friend inline bool operator<(const base_uint& a, const base_uint& b) { return a.CompareTo(b) < 0; }
224 friend inline bool operator>=(const base_uint& a, const base_uint& b) { return a.CompareTo(b) >= 0; }
225 friend inline bool operator<=(const base_uint& a, const base_uint& b) { return a.CompareTo(b) <= 0; }
226 friend inline bool operator==(const base_uint& a, uint64_t b) { return a.EqualTo(b); }
227 friend inline bool operator!=(const base_uint& a, uint64_t b) { return !a.EqualTo(b); }
228
229 std::string GetHex() const;
230 void SetHex(const char* psz);
231 void SetHex(const std::string& str);
232 std::string ToString() const;
233
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234 unsigned int size() const
235 {
236 return sizeof(pn);
237 }
238
239 /**
240 * Returns the position of the highest bit set plus one, or zero if the
241 * value is zero.
242 */
243 unsigned int bits() const;
244
245 uint64_t GetLow64() const
246 {
247 assert(WIDTH >= 2);
248 return pn[0] | (uint64_t)pn[1] << 32;
249 }
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250};
251
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252/** 256-bit unsigned big integer. */
253class arith_uint256 : public base_uint<256> {
254public:
255 arith_uint256() {}
256 arith_uint256(const base_uint<256>& b) : base_uint<256>(b) {}
257 arith_uint256(uint64_t b) : base_uint<256>(b) {}
258 explicit arith_uint256(const std::string& str) : base_uint<256>(str) {}
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259
260 /**
261 * The "compact" format is a representation of a whole
262 * number N using an unsigned 32bit number similar to a
263 * floating point format.
264 * The most significant 8 bits are the unsigned exponent of base 256.
265 * This exponent can be thought of as "number of bytes of N".
266 * The lower 23 bits are the mantissa.
267 * Bit number 24 (0x800000) represents the sign of N.
268 * N = (-1^sign) * mantissa * 256^(exponent-3)
269 *
270 * Satoshi's original implementation used BN_bn2mpi() and BN_mpi2bn().
271 * MPI uses the most significant bit of the first byte as sign.
272 * Thus 0x1234560000 is compact (0x05123456)
273 * and 0xc0de000000 is compact (0x0600c0de)
274 *
275 * Bitcoin only uses this "compact" format for encoding difficulty
276 * targets, which are unsigned 256bit quantities. Thus, all the
277 * complexities of the sign bit and using base 256 are probably an
278 * implementation accident.
279 */
280 arith_uint256& SetCompact(uint32_t nCompact, bool *pfNegative = NULL, bool *pfOverflow = NULL);
281 uint32_t GetCompact(bool fNegative = false) const;
282
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283 friend uint256 ArithToUint256(const arith_uint256 &);
284 friend arith_uint256 UintToArith256(const uint256 &);
bfc60703 285};
5d3064bc 286
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287uint256 ArithToUint256(const arith_uint256 &);
288arith_uint256 UintToArith256(const uint256 &);
289
a21df620 290#endif // BITCOIN_ARITH_UINT256_H
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