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Diffstat (limited to 'src/arith_uint256.h')
-rw-r--r-- | src/arith_uint256.h | 290 |
1 files changed, 290 insertions, 0 deletions
diff --git a/src/arith_uint256.h b/src/arith_uint256.h new file mode 100644 index 0000000000..b6ba3a1087 --- /dev/null +++ b/src/arith_uint256.h @@ -0,0 +1,290 @@ +// Copyright (c) 2009-2010 Satoshi Nakamoto +// Copyright (c) 2009-2014 The Bitcoin developers +// Distributed under the MIT software license, see the accompanying +// file COPYING or http://www.opensource.org/licenses/mit-license.php. + +#ifndef BITCOIN_ARITH_UINT256_H +#define BITCOIN_ARITH_UINT256_H + +#include <assert.h> +#include <cstring> +#include <stdexcept> +#include <stdint.h> +#include <string> +#include <vector> + +class uint256; + +class uint_error : public std::runtime_error { +public: + explicit uint_error(const std::string& str) : std::runtime_error(str) {} +}; + +/** Template base class for unsigned big integers. */ +template<unsigned int BITS> +class base_uint +{ +protected: + enum { WIDTH=BITS/32 }; + uint32_t pn[WIDTH]; +public: + + base_uint() + { + for (int i = 0; i < WIDTH; i++) + pn[i] = 0; + } + + base_uint(const base_uint& b) + { + for (int i = 0; i < WIDTH; i++) + pn[i] = b.pn[i]; + } + + base_uint& operator=(const base_uint& b) + { + for (int i = 0; i < WIDTH; i++) + pn[i] = b.pn[i]; + return *this; + } + + base_uint(uint64_t b) + { + pn[0] = (unsigned int)b; + pn[1] = (unsigned int)(b >> 32); + for (int i = 2; i < WIDTH; i++) + pn[i] = 0; + } + + explicit base_uint(const std::string& str); + + bool operator!() const + { + for (int i = 0; i < WIDTH; i++) + if (pn[i] != 0) + return false; + return true; + } + + const base_uint operator~() const + { + base_uint ret; + for (int i = 0; i < WIDTH; i++) + ret.pn[i] = ~pn[i]; + return ret; + } + + const base_uint operator-() const + { + base_uint ret; + for (int i = 0; i < WIDTH; i++) + ret.pn[i] = ~pn[i]; + ret++; + return ret; + } + + double getdouble() const; + + base_uint& operator=(uint64_t b) + { + pn[0] = (unsigned int)b; + pn[1] = (unsigned int)(b >> 32); + for (int i = 2; i < WIDTH; i++) + pn[i] = 0; + return *this; + } + + base_uint& operator^=(const base_uint& b) + { + for (int i = 0; i < WIDTH; i++) + pn[i] ^= b.pn[i]; + return *this; + } + + base_uint& operator&=(const base_uint& b) + { + for (int i = 0; i < WIDTH; i++) + pn[i] &= b.pn[i]; + return *this; + } + + base_uint& operator|=(const base_uint& b) + { + for (int i = 0; i < WIDTH; i++) + pn[i] |= b.pn[i]; + return *this; + } + + base_uint& operator^=(uint64_t b) + { + pn[0] ^= (unsigned int)b; + pn[1] ^= (unsigned int)(b >> 32); + return *this; + } + + base_uint& operator|=(uint64_t b) + { + pn[0] |= (unsigned int)b; + pn[1] |= (unsigned int)(b >> 32); + return *this; + } + + base_uint& operator<<=(unsigned int shift); + base_uint& operator>>=(unsigned int shift); + + base_uint& operator+=(const base_uint& b) + { + uint64_t carry = 0; + for (int i = 0; i < WIDTH; i++) + { + uint64_t n = carry + pn[i] + b.pn[i]; + pn[i] = n & 0xffffffff; + carry = n >> 32; + } + return *this; + } + + base_uint& operator-=(const base_uint& b) + { + *this += -b; + return *this; + } + + base_uint& operator+=(uint64_t b64) + { + base_uint b; + b = b64; + *this += b; + return *this; + } + + base_uint& operator-=(uint64_t b64) + { + base_uint b; + b = b64; + *this += -b; + return *this; + } + + base_uint& operator*=(uint32_t b32); + base_uint& operator*=(const base_uint& b); + base_uint& operator/=(const base_uint& b); + + base_uint& operator++() + { + // prefix operator + int i = 0; + while (++pn[i] == 0 && i < WIDTH-1) + i++; + return *this; + } + + const base_uint operator++(int) + { + // postfix operator + const base_uint ret = *this; + ++(*this); + return ret; + } + + base_uint& operator--() + { + // prefix operator + int i = 0; + while (--pn[i] == (uint32_t)-1 && i < WIDTH-1) + i++; + return *this; + } + + const base_uint operator--(int) + { + // postfix operator + const base_uint ret = *this; + --(*this); + return ret; + } + + int CompareTo(const base_uint& b) const; + bool EqualTo(uint64_t b) const; + + friend inline const base_uint operator+(const base_uint& a, const base_uint& b) { return base_uint(a) += b; } + friend inline const base_uint operator-(const base_uint& a, const base_uint& b) { return base_uint(a) -= b; } + friend inline const base_uint operator*(const base_uint& a, const base_uint& b) { return base_uint(a) *= b; } + friend inline const base_uint operator/(const base_uint& a, const base_uint& b) { return base_uint(a) /= b; } + friend inline const base_uint operator|(const base_uint& a, const base_uint& b) { return base_uint(a) |= b; } + friend inline const base_uint operator&(const base_uint& a, const base_uint& b) { return base_uint(a) &= b; } + friend inline const base_uint operator^(const base_uint& a, const base_uint& b) { return base_uint(a) ^= b; } + friend inline const base_uint operator>>(const base_uint& a, int shift) { return base_uint(a) >>= shift; } + friend inline const base_uint operator<<(const base_uint& a, int shift) { return base_uint(a) <<= shift; } + friend inline const base_uint operator*(const base_uint& a, uint32_t b) { return base_uint(a) *= b; } + friend inline bool operator==(const base_uint& a, const base_uint& b) { return memcmp(a.pn, b.pn, sizeof(a.pn)) == 0; } + friend inline bool operator!=(const base_uint& a, const base_uint& b) { return memcmp(a.pn, b.pn, sizeof(a.pn)) != 0; } + friend inline bool operator>(const base_uint& a, const base_uint& b) { return a.CompareTo(b) > 0; } + friend inline bool operator<(const base_uint& a, const base_uint& b) { return a.CompareTo(b) < 0; } + friend inline bool operator>=(const base_uint& a, const base_uint& b) { return a.CompareTo(b) >= 0; } + friend inline bool operator<=(const base_uint& a, const base_uint& b) { return a.CompareTo(b) <= 0; } + friend inline bool operator==(const base_uint& a, uint64_t b) { return a.EqualTo(b); } + friend inline bool operator!=(const base_uint& a, uint64_t b) { return !a.EqualTo(b); } + + std::string GetHex() const; + void SetHex(const char* psz); + void SetHex(const std::string& str); + std::string ToString() const; + + unsigned int size() const + { + return sizeof(pn); + } + + /** + * Returns the position of the highest bit set plus one, or zero if the + * value is zero. + */ + unsigned int bits() const; + + uint64_t GetLow64() const + { + assert(WIDTH >= 2); + return pn[0] | (uint64_t)pn[1] << 32; + } +}; + +/** 256-bit unsigned big integer. */ +class arith_uint256 : public base_uint<256> { +public: + arith_uint256() {} + arith_uint256(const base_uint<256>& b) : base_uint<256>(b) {} + arith_uint256(uint64_t b) : base_uint<256>(b) {} + explicit arith_uint256(const std::string& str) : base_uint<256>(str) {} + + /** + * The "compact" format is a representation of a whole + * number N using an unsigned 32bit number similar to a + * floating point format. + * The most significant 8 bits are the unsigned exponent of base 256. + * This exponent can be thought of as "number of bytes of N". + * The lower 23 bits are the mantissa. + * Bit number 24 (0x800000) represents the sign of N. + * N = (-1^sign) * mantissa * 256^(exponent-3) + * + * Satoshi's original implementation used BN_bn2mpi() and BN_mpi2bn(). + * MPI uses the most significant bit of the first byte as sign. + * Thus 0x1234560000 is compact (0x05123456) + * and 0xc0de000000 is compact (0x0600c0de) + * + * Bitcoin only uses this "compact" format for encoding difficulty + * targets, which are unsigned 256bit quantities. Thus, all the + * complexities of the sign bit and using base 256 are probably an + * implementation accident. + */ + arith_uint256& SetCompact(uint32_t nCompact, bool *pfNegative = NULL, bool *pfOverflow = NULL); + uint32_t GetCompact(bool fNegative = false) const; + + friend uint256 ArithToUint256(const arith_uint256 &); + friend arith_uint256 UintToArith256(const uint256 &); +}; + +uint256 ArithToUint256(const arith_uint256 &); +arith_uint256 UintToArith256(const uint256 &); + +#endif // BITCOIN_UINT256_H |