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358 lines
10 KiB
C++
358 lines
10 KiB
C++
// Copyright (c) 2009-2010 Satoshi Nakamoto
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// Copyright (c) 2009-2014 The Bitcoin developers
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// Distributed under the MIT/X11 software license, see the accompanying
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// file COPYING or http://www.opensource.org/licenses/mit-license.php.
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#include "uint256.h"
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#include "utilstrencodings.h"
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#include <stdio.h>
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#include <string.h>
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template <unsigned int BITS>
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base_uint<BITS>::base_uint(const std::string& str)
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{
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SetHex(str);
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}
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template <unsigned int BITS>
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base_uint<BITS>::base_uint(const std::vector<unsigned char>& vch)
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{
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if (vch.size() != sizeof(pn))
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throw uint_error("Converting vector of wrong size to base_uint");
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memcpy(pn, &vch[0], sizeof(pn));
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}
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template <unsigned int BITS>
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base_uint<BITS>& base_uint<BITS>::operator<<=(unsigned int shift)
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{
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base_uint<BITS> a(*this);
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for (int i = 0; i < WIDTH; i++)
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pn[i] = 0;
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int k = shift / 32;
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shift = shift % 32;
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for (int i = 0; i < WIDTH; i++) {
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if (i + k + 1 < WIDTH && shift != 0)
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pn[i + k + 1] |= (a.pn[i] >> (32 - shift));
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if (i + k < WIDTH)
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pn[i + k] |= (a.pn[i] << shift);
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}
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return *this;
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}
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template <unsigned int BITS>
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base_uint<BITS>& base_uint<BITS>::operator>>=(unsigned int shift)
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{
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base_uint<BITS> a(*this);
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for (int i = 0; i < WIDTH; i++)
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pn[i] = 0;
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int k = shift / 32;
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shift = shift % 32;
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for (int i = 0; i < WIDTH; i++) {
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if (i - k - 1 >= 0 && shift != 0)
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pn[i - k - 1] |= (a.pn[i] << (32 - shift));
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if (i - k >= 0)
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pn[i - k] |= (a.pn[i] >> shift);
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}
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return *this;
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}
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template <unsigned int BITS>
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base_uint<BITS>& base_uint<BITS>::operator*=(uint32_t b32)
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{
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uint64_t carry = 0;
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for (int i = 0; i < WIDTH; i++) {
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uint64_t n = carry + (uint64_t)b32 * pn[i];
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pn[i] = n & 0xffffffff;
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carry = n >> 32;
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}
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return *this;
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}
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template <unsigned int BITS>
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base_uint<BITS>& base_uint<BITS>::operator*=(const base_uint& b)
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{
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base_uint<BITS> a = *this;
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*this = 0;
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for (int j = 0; j < WIDTH; j++) {
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uint64_t carry = 0;
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for (int i = 0; i + j < WIDTH; i++) {
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uint64_t n = carry + pn[i + j] + (uint64_t)a.pn[j] * b.pn[i];
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pn[i + j] = n & 0xffffffff;
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carry = n >> 32;
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}
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}
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return *this;
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}
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template <unsigned int BITS>
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base_uint<BITS>& base_uint<BITS>::operator/=(const base_uint& b)
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{
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base_uint<BITS> div = b; // make a copy, so we can shift.
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base_uint<BITS> num = *this; // make a copy, so we can subtract.
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*this = 0; // the quotient.
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int num_bits = num.bits();
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int div_bits = div.bits();
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if (div_bits == 0)
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throw uint_error("Division by zero");
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if (div_bits > num_bits) // the result is certainly 0.
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return *this;
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int shift = num_bits - div_bits;
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div <<= shift; // shift so that div and nun align.
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while (shift >= 0) {
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if (num >= div) {
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num -= div;
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pn[shift / 32] |= (1 << (shift & 31)); // set a bit of the result.
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}
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div >>= 1; // shift back.
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shift--;
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}
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// num now contains the remainder of the division.
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return *this;
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}
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template <unsigned int BITS>
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int base_uint<BITS>::CompareTo(const base_uint<BITS>& b) const
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{
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for (int i = WIDTH - 1; i >= 0; i--) {
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if (pn[i] < b.pn[i])
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return -1;
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if (pn[i] > b.pn[i])
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return 1;
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}
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return 0;
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}
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template <unsigned int BITS>
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bool base_uint<BITS>::EqualTo(uint64_t b) const
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{
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for (int i = WIDTH - 1; i >= 2; i--) {
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if (pn[i])
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return false;
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}
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if (pn[1] != (b >> 32))
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return false;
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if (pn[0] != (b & 0xfffffffful))
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return false;
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return true;
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}
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template <unsigned int BITS>
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double base_uint<BITS>::getdouble() const
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{
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double ret = 0.0;
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double fact = 1.0;
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for (int i = 0; i < WIDTH; i++) {
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ret += fact * pn[i];
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fact *= 4294967296.0;
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}
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return ret;
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}
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template <unsigned int BITS>
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std::string base_uint<BITS>::GetHex() const
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{
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char psz[sizeof(pn) * 2 + 1];
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for (unsigned int i = 0; i < sizeof(pn); i++)
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sprintf(psz + i * 2, "%02x", ((unsigned char*)pn)[sizeof(pn) - i - 1]);
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return std::string(psz, psz + sizeof(pn) * 2);
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}
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template <unsigned int BITS>
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void base_uint<BITS>::SetHex(const char* psz)
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{
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memset(pn, 0, sizeof(pn));
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// skip leading spaces
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while (isspace(*psz))
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psz++;
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// skip 0x
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if (psz[0] == '0' && tolower(psz[1]) == 'x')
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psz += 2;
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// hex string to uint
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const char* pbegin = psz;
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while (::HexDigit(*psz) != -1)
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psz++;
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psz--;
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unsigned char* p1 = (unsigned char*)pn;
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unsigned char* pend = p1 + WIDTH * 4;
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while (psz >= pbegin && p1 < pend) {
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*p1 = ::HexDigit(*psz--);
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if (psz >= pbegin) {
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*p1 |= ((unsigned char)::HexDigit(*psz--) << 4);
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p1++;
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}
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}
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}
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template <unsigned int BITS>
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void base_uint<BITS>::SetHex(const std::string& str)
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{
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SetHex(str.c_str());
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}
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template <unsigned int BITS>
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std::string base_uint<BITS>::ToString() const
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{
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return (GetHex());
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}
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template <unsigned int BITS>
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unsigned int base_uint<BITS>::bits() const
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{
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for (int pos = WIDTH - 1; pos >= 0; pos--) {
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if (pn[pos]) {
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for (int bits = 31; bits > 0; bits--) {
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if (pn[pos] & 1 << bits)
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return 32 * pos + bits + 1;
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}
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return 32 * pos + 1;
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}
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}
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return 0;
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}
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// Explicit instantiations for base_uint<160>
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template base_uint<160>::base_uint(const std::string&);
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template base_uint<160>::base_uint(const std::vector<unsigned char>&);
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template base_uint<160>& base_uint<160>::operator<<=(unsigned int);
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template base_uint<160>& base_uint<160>::operator>>=(unsigned int);
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template base_uint<160>& base_uint<160>::operator*=(uint32_t b32);
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template base_uint<160>& base_uint<160>::operator*=(const base_uint<160>& b);
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template base_uint<160>& base_uint<160>::operator/=(const base_uint<160>& b);
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template int base_uint<160>::CompareTo(const base_uint<160>&) const;
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template bool base_uint<160>::EqualTo(uint64_t) const;
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template double base_uint<160>::getdouble() const;
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template std::string base_uint<160>::GetHex() const;
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template std::string base_uint<160>::ToString() const;
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template void base_uint<160>::SetHex(const char*);
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template void base_uint<160>::SetHex(const std::string&);
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template unsigned int base_uint<160>::bits() const;
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// Explicit instantiations for base_uint<256>
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template base_uint<256>::base_uint(const std::string&);
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template base_uint<256>::base_uint(const std::vector<unsigned char>&);
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template base_uint<256>& base_uint<256>::operator<<=(unsigned int);
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template base_uint<256>& base_uint<256>::operator>>=(unsigned int);
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template base_uint<256>& base_uint<256>::operator*=(uint32_t b32);
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template base_uint<256>& base_uint<256>::operator*=(const base_uint<256>& b);
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template base_uint<256>& base_uint<256>::operator/=(const base_uint<256>& b);
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template int base_uint<256>::CompareTo(const base_uint<256>&) const;
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template bool base_uint<256>::EqualTo(uint64_t) const;
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template double base_uint<256>::getdouble() const;
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template std::string base_uint<256>::GetHex() const;
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template std::string base_uint<256>::ToString() const;
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template void base_uint<256>::SetHex(const char*);
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template void base_uint<256>::SetHex(const std::string&);
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template unsigned int base_uint<256>::bits() const;
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// This implementation directly uses shifts instead of going
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// through an intermediate MPI representation.
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uint256& uint256::SetCompact(uint32_t nCompact, bool* pfNegative, bool* pfOverflow)
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{
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int nSize = nCompact >> 24;
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uint32_t nWord = nCompact & 0x007fffff;
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if (nSize <= 3) {
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nWord >>= 8 * (3 - nSize);
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*this = nWord;
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} else {
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*this = nWord;
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*this <<= 8 * (nSize - 3);
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}
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if (pfNegative)
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*pfNegative = nWord != 0 && (nCompact & 0x00800000) != 0;
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if (pfOverflow)
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*pfOverflow = nWord != 0 && ((nSize > 34) ||
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(nWord > 0xff && nSize > 33) ||
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(nWord > 0xffff && nSize > 32));
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return *this;
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}
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uint32_t uint256::GetCompact(bool fNegative) const
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{
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int nSize = (bits() + 7) / 8;
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uint32_t nCompact = 0;
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if (nSize <= 3) {
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nCompact = GetLow64() << 8 * (3 - nSize);
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} else {
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uint256 bn = *this >> 8 * (nSize - 3);
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nCompact = bn.GetLow64();
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}
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// The 0x00800000 bit denotes the sign.
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// Thus, if it is already set, divide the mantissa by 256 and increase the exponent.
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if (nCompact & 0x00800000) {
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nCompact >>= 8;
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nSize++;
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}
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assert((nCompact & ~0x007fffff) == 0);
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assert(nSize < 256);
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nCompact |= nSize << 24;
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nCompact |= (fNegative && (nCompact & 0x007fffff) ? 0x00800000 : 0);
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return nCompact;
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}
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static void inline HashMix(uint32_t& a, uint32_t& b, uint32_t& c)
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{
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// Taken from lookup3, by Bob Jenkins.
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a -= c;
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a ^= ((c << 4) | (c >> 28));
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c += b;
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b -= a;
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b ^= ((a << 6) | (a >> 26));
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a += c;
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c -= b;
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c ^= ((b << 8) | (b >> 24));
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b += a;
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a -= c;
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a ^= ((c << 16) | (c >> 16));
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c += b;
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b -= a;
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b ^= ((a << 19) | (a >> 13));
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a += c;
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c -= b;
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c ^= ((b << 4) | (b >> 28));
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b += a;
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}
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static void inline HashFinal(uint32_t& a, uint32_t& b, uint32_t& c)
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{
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// Taken from lookup3, by Bob Jenkins.
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c ^= b;
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c -= ((b << 14) | (b >> 18));
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a ^= c;
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a -= ((c << 11) | (c >> 21));
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b ^= a;
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b -= ((a << 25) | (a >> 7));
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c ^= b;
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c -= ((b << 16) | (b >> 16));
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a ^= c;
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a -= ((c << 4) | (c >> 28));
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b ^= a;
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b -= ((a << 14) | (a >> 18));
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c ^= b;
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c -= ((b << 24) | (b >> 8));
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}
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uint64_t uint256::GetHash(const uint256& salt) const
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{
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uint32_t a, b, c;
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a = b = c = 0xdeadbeef + (WIDTH << 2);
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a += pn[0] ^ salt.pn[0];
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b += pn[1] ^ salt.pn[1];
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c += pn[2] ^ salt.pn[2];
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HashMix(a, b, c);
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a += pn[3] ^ salt.pn[3];
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b += pn[4] ^ salt.pn[4];
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c += pn[5] ^ salt.pn[5];
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HashMix(a, b, c);
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a += pn[6] ^ salt.pn[6];
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b += pn[7] ^ salt.pn[7];
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HashFinal(a, b, c);
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return ((((uint64_t)b) << 32) | c);
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}
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