// Copyright (c) 2009-2010 Satoshi Nakamoto // Copyright (c) 2009-2014 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 "uint256.h" #include "utilstrencodings.h" #include #include template base_uint::base_uint(const std::string& str) { SetHex(str); } template base_uint::base_uint(const std::vector& vch) { if (vch.size() != sizeof(pn)) throw uint_error("Converting vector of wrong size to base_uint"); memcpy(pn, &vch[0], sizeof(pn)); } template base_uint& base_uint::operator<<=(unsigned int shift) { base_uint a(*this); for (int i = 0; i < WIDTH; i++) pn[i] = 0; int k = shift / 32; shift = shift % 32; for (int i = 0; i < WIDTH; i++) { if (i + k + 1 < WIDTH && shift != 0) pn[i + k + 1] |= (a.pn[i] >> (32 - shift)); if (i + k < WIDTH) pn[i + k] |= (a.pn[i] << shift); } return *this; } template base_uint& base_uint::operator>>=(unsigned int shift) { base_uint a(*this); for (int i = 0; i < WIDTH; i++) pn[i] = 0; int k = shift / 32; shift = shift % 32; for (int i = 0; i < WIDTH; i++) { if (i - k - 1 >= 0 && shift != 0) pn[i - k - 1] |= (a.pn[i] << (32 - shift)); if (i - k >= 0) pn[i - k] |= (a.pn[i] >> shift); } return *this; } template base_uint& base_uint::operator*=(uint32_t b32) { uint64_t carry = 0; for (int i = 0; i < WIDTH; i++) { uint64_t n = carry + (uint64_t)b32 * pn[i]; pn[i] = n & 0xffffffff; carry = n >> 32; } return *this; } template base_uint& base_uint::operator*=(const base_uint& b) { base_uint a = *this; *this = 0; for (int j = 0; j < WIDTH; j++) { uint64_t carry = 0; for (int i = 0; i + j < WIDTH; i++) { uint64_t n = carry + pn[i + j] + (uint64_t)a.pn[j] * b.pn[i]; pn[i + j] = n & 0xffffffff; carry = n >> 32; } } return *this; } template base_uint& base_uint::operator/=(const base_uint& b) { base_uint div = b; // make a copy, so we can shift. base_uint num = *this; // make a copy, so we can subtract. *this = 0; // the quotient. int num_bits = num.bits(); int div_bits = div.bits(); if (div_bits == 0) throw uint_error("Division by zero"); if (div_bits > num_bits) // the result is certainly 0. return *this; int shift = num_bits - div_bits; div <<= shift; // shift so that div and num align. while (shift >= 0) { if (num >= div) { num -= div; pn[shift / 32] |= (1 << (shift & 31)); // set a bit of the result. } div >>= 1; // shift back. shift--; } // num now contains the remainder of the division. return *this; } template int base_uint::CompareTo(const base_uint& b) const { for (int i = WIDTH - 1; i >= 0; i--) { if (pn[i] < b.pn[i]) return -1; if (pn[i] > b.pn[i]) return 1; } return 0; } template bool base_uint::EqualTo(uint64_t b) const { for (int i = WIDTH - 1; i >= 2; i--) { if (pn[i]) return false; } if (pn[1] != (b >> 32)) return false; if (pn[0] != (b & 0xfffffffful)) return false; return true; } template double base_uint::getdouble() const { double ret = 0.0; double fact = 1.0; for (int i = 0; i < WIDTH; i++) { ret += fact * pn[i]; fact *= 4294967296.0; } return ret; } template std::string base_uint::GetHex() const { char psz[sizeof(pn) * 2 + 1]; for (unsigned int i = 0; i < sizeof(pn); i++) sprintf(psz + i * 2, "%02x", ((unsigned char*)pn)[sizeof(pn) - i - 1]); return std::string(psz, psz + sizeof(pn) * 2); } template void base_uint::SetHex(const char* psz) { memset(pn, 0, sizeof(pn)); // skip leading spaces while (isspace(*psz)) psz++; // skip 0x if (psz[0] == '0' && tolower(psz[1]) == 'x') psz += 2; // hex string to uint const char* pbegin = psz; while (::HexDigit(*psz) != -1) psz++; psz--; unsigned char* p1 = (unsigned char*)pn; unsigned char* pend = p1 + WIDTH * 4; while (psz >= pbegin && p1 < pend) { *p1 = ::HexDigit(*psz--); if (psz >= pbegin) { *p1 |= ((unsigned char)::HexDigit(*psz--) << 4); p1++; } } } template void base_uint::SetHex(const std::string& str) { SetHex(str.c_str()); } template std::string base_uint::ToString() const { return (GetHex()); } template unsigned int base_uint::bits() const { for (int pos = WIDTH - 1; pos >= 0; pos--) { if (pn[pos]) { for (int bits = 31; bits > 0; bits--) { if (pn[pos] & 1 << bits) return 32 * pos + bits + 1; } return 32 * pos + 1; } } return 0; } // Explicit instantiations for base_uint<160> template base_uint<160>::base_uint(const std::string&); template base_uint<160>::base_uint(const std::vector&); template base_uint<160>& base_uint<160>::operator<<=(unsigned int); template base_uint<160>& base_uint<160>::operator>>=(unsigned int); template base_uint<160>& base_uint<160>::operator*=(uint32_t b32); template base_uint<160>& base_uint<160>::operator*=(const base_uint<160>& b); template base_uint<160>& base_uint<160>::operator/=(const base_uint<160>& b); template int base_uint<160>::CompareTo(const base_uint<160>&) const; template bool base_uint<160>::EqualTo(uint64_t) const; template double base_uint<160>::getdouble() const; template std::string base_uint<160>::GetHex() const; template std::string base_uint<160>::ToString() const; template void base_uint<160>::SetHex(const char*); template void base_uint<160>::SetHex(const std::string&); template unsigned int base_uint<160>::bits() const; // Explicit instantiations for base_uint<256> template base_uint<256>::base_uint(const std::string&); template base_uint<256>::base_uint(const std::vector&); template base_uint<256>& base_uint<256>::operator<<=(unsigned int); template base_uint<256>& base_uint<256>::operator>>=(unsigned int); template base_uint<256>& base_uint<256>::operator*=(uint32_t b32); template base_uint<256>& base_uint<256>::operator*=(const base_uint<256>& b); template base_uint<256>& base_uint<256>::operator/=(const base_uint<256>& b); template int base_uint<256>::CompareTo(const base_uint<256>&) const; template bool base_uint<256>::EqualTo(uint64_t) const; template double base_uint<256>::getdouble() const; template std::string base_uint<256>::GetHex() const; template std::string base_uint<256>::ToString() const; template void base_uint<256>::SetHex(const char*); template void base_uint<256>::SetHex(const std::string&); template unsigned int base_uint<256>::bits() const; // This implementation directly uses shifts instead of going // through an intermediate MPI representation. uint256& uint256::SetCompact(uint32_t nCompact, bool* pfNegative, bool* pfOverflow) { int nSize = nCompact >> 24; uint32_t nWord = nCompact & 0x007fffff; if (nSize <= 3) { nWord >>= 8 * (3 - nSize); *this = nWord; } else { *this = nWord; *this <<= 8 * (nSize - 3); } if (pfNegative) *pfNegative = nWord != 0 && (nCompact & 0x00800000) != 0; if (pfOverflow) *pfOverflow = nWord != 0 && ((nSize > 34) || (nWord > 0xff && nSize > 33) || (nWord > 0xffff && nSize > 32)); return *this; } uint32_t uint256::GetCompact(bool fNegative) const { int nSize = (bits() + 7) / 8; uint32_t nCompact = 0; if (nSize <= 3) { nCompact = GetLow64() << 8 * (3 - nSize); } else { uint256 bn = *this >> 8 * (nSize - 3); nCompact = bn.GetLow64(); } // The 0x00800000 bit denotes the sign. // Thus, if it is already set, divide the mantissa by 256 and increase the exponent. if (nCompact & 0x00800000) { nCompact >>= 8; nSize++; } assert((nCompact & ~0x007fffff) == 0); assert(nSize < 256); nCompact |= nSize << 24; nCompact |= (fNegative && (nCompact & 0x007fffff) ? 0x00800000 : 0); return nCompact; } static void inline HashMix(uint32_t& a, uint32_t& b, uint32_t& c) { // Taken from lookup3, by Bob Jenkins. a -= c; a ^= ((c << 4) | (c >> 28)); c += b; b -= a; b ^= ((a << 6) | (a >> 26)); a += c; c -= b; c ^= ((b << 8) | (b >> 24)); b += a; a -= c; a ^= ((c << 16) | (c >> 16)); c += b; b -= a; b ^= ((a << 19) | (a >> 13)); a += c; c -= b; c ^= ((b << 4) | (b >> 28)); b += a; } static void inline HashFinal(uint32_t& a, uint32_t& b, uint32_t& c) { // Taken from lookup3, by Bob Jenkins. c ^= b; c -= ((b << 14) | (b >> 18)); a ^= c; a -= ((c << 11) | (c >> 21)); b ^= a; b -= ((a << 25) | (a >> 7)); c ^= b; c -= ((b << 16) | (b >> 16)); a ^= c; a -= ((c << 4) | (c >> 28)); b ^= a; b -= ((a << 14) | (a >> 18)); c ^= b; c -= ((b << 24) | (b >> 8)); } uint64_t uint256::GetHash(const uint256& salt) const { uint32_t a, b, c; a = b = c = 0xdeadbeef + (WIDTH << 2); a += pn[0] ^ salt.pn[0]; b += pn[1] ^ salt.pn[1]; c += pn[2] ^ salt.pn[2]; HashMix(a, b, c); a += pn[3] ^ salt.pn[3]; b += pn[4] ^ salt.pn[4]; c += pn[5] ^ salt.pn[5]; HashMix(a, b, c); a += pn[6] ^ salt.pn[6]; b += pn[7] ^ salt.pn[7]; HashFinal(a, b, c); return ((((uint64_t)b) << 32) | c); }