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// Copyright (c) 2009-2010 Satoshi Nakamoto
// Copyright (c) 2009-2012 The Bitcoin developers
// Distributed under the MIT/X11 software license, see the accompanying
// file license.txt or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_UINT256_H
#define BITCOIN_UINT256_H
#include "serialize.h"
#include <limits.h>
#include <string>
#include <vector>
typedef long long int64;
typedef unsigned long long uint64;
inline int Testuint256AdHoc(std::vector<std::string> vArg);
// We have to keep a separate base class without constructors
// so the compiler will let us use it in a union
template<unsigned int BITS>
class base_uint
{
protected:
enum { WIDTH=BITS/32 };
unsigned int pn[WIDTH];
public:
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;
}
base_uint& operator=(uint64 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 b)
{
pn[0] ^= (unsigned int)b;
pn[1] ^= (unsigned int)(b >> 32);
return *this;
}
base_uint& operator&=(uint64 b)
{
pn[0] &= (unsigned int)b;
pn[1] &= (unsigned int)(b >> 32);
return *this;
}
base_uint& operator|=(uint64 b)
{
pn[0] |= (unsigned int)b;
pn[1] |= (unsigned int)(b >> 32);
return *this;
}
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;
}
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;
}
base_uint& operator+=(const base_uint& b)
{
uint64 carry = 0;
for (int i = 0; i < WIDTH; i++)
{
uint64 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 b64)
{
base_uint b;
b = b64;
*this += b;
return *this;
}
base_uint& operator-=(uint64 b64)
{
base_uint b;
b = b64;
*this += -b;
return *this;
}
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] == -1 && i < WIDTH-1)
i++;
return *this;
}
const base_uint operator--(int)
{
// postfix operator
const base_uint ret = *this;
--(*this);
return ret;
}
friend inline bool operator<(const base_uint& a, const base_uint& b)
{
for (int i = base_uint::WIDTH-1; i >= 0; i--)
{
if (a.pn[i] < b.pn[i])
return true;
else if (a.pn[i] > b.pn[i])
return false;
}
return false;
}
friend inline bool operator<=(const base_uint& a, const base_uint& b)
{
for (int i = base_uint::WIDTH-1; i >= 0; i--)
{
if (a.pn[i] < b.pn[i])
return true;
else if (a.pn[i] > b.pn[i])
return false;
}
return true;
}
friend inline bool operator>(const base_uint& a, const base_uint& b)
{
for (int i = base_uint::WIDTH-1; i >= 0; i--)
{
if (a.pn[i] > b.pn[i])
return true;
else if (a.pn[i] < b.pn[i])
return false;
}
return false;
}
friend inline bool operator>=(const base_uint& a, const base_uint& b)
{
for (int i = base_uint::WIDTH-1; i >= 0; i--)
{
if (a.pn[i] > b.pn[i])
return true;
else if (a.pn[i] < b.pn[i])
return false;
}
return true;
}
friend inline bool operator==(const base_uint& a, const base_uint& b)
{
for (int i = 0; i < base_uint::WIDTH; i++)
if (a.pn[i] != b.pn[i])
return false;
return true;
}
friend inline bool operator==(const base_uint& a, uint64 b)
{
if (a.pn[0] != (unsigned int)b)
return false;
if (a.pn[1] != (unsigned int)(b >> 32))
return false;
for (int i = 2; i < base_uint::WIDTH; i++)
if (a.pn[i] != 0)
return false;
return true;
}
friend inline bool operator!=(const base_uint& a, const base_uint& b)
{
return (!(a == b));
}
friend inline bool operator!=(const base_uint& a, uint64 b)
{
return (!(a == b));
}
std::string GetHex() const
{
char psz[sizeof(pn)*2 + 1];
for (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);
}
void SetHex(const char* psz)
{
for (int i = 0; i < WIDTH; i++)
pn[i] = 0;
// skip leading spaces
while (isspace(*psz))
psz++;
// skip 0x
if (psz[0] == '0' && tolower(psz[1]) == 'x')
psz += 2;
// hex string to uint
static char phexdigit[256] = { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,1,2,3,4,5,6,7,8,9,0,0,0,0,0,0, 0,0xa,0xb,0xc,0xd,0xe,0xf,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0xa,0xb,0xc,0xd,0xe,0xf,0,0,0,0,0,0,0,0,0 };
const char* pbegin = psz;
while (phexdigit[*psz] || *psz == '0')
psz++;
psz--;
unsigned char* p1 = (unsigned char*)pn;
unsigned char* pend = p1 + WIDTH * 4;
while (psz >= pbegin && p1 < pend)
{
*p1 = phexdigit[(unsigned char)*psz--];
if (psz >= pbegin)
{
*p1 |= (phexdigit[(unsigned char)*psz--] << 4);
p1++;
}
}
}
void SetHex(const std::string& str)
{
SetHex(str.c_str());
}
std::string ToString() const
{
return (GetHex());
}
unsigned char* begin()
{
return (unsigned char*)&pn[0];
}
unsigned char* end()
{
return (unsigned char*)&pn[WIDTH];
}
unsigned int size()
{
return sizeof(pn);
}
unsigned int GetSerializeSize(int nType=0, int nVersion=PROTOCOL_VERSION) const
{
return sizeof(pn);
}
template<typename Stream>
void Serialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION) const
{
s.write((char*)pn, sizeof(pn));
}
template<typename Stream>
void Unserialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION)
{
s.read((char*)pn, sizeof(pn));
}
friend class uint160;
friend class uint256;
friend inline int Testuint256AdHoc(std::vector<std::string> vArg);
};
typedef base_uint<160> base_uint160;
typedef base_uint<256> base_uint256;
//
// uint160 and uint256 could be implemented as templates, but to keep
// compile errors and debugging cleaner, they're copy and pasted.
//
//////////////////////////////////////////////////////////////////////////////
//
// uint160
//
class uint160 : public base_uint160
{
public:
typedef base_uint160 basetype;
uint160()
{
for (int i = 0; i < WIDTH; i++)
pn[i] = 0;
}
uint160(const basetype& b)
{
for (int i = 0; i < WIDTH; i++)
pn[i] = b.pn[i];
}
uint160& operator=(const basetype& b)
{
for (int i = 0; i < WIDTH; i++)
pn[i] = b.pn[i];
return *this;
}
uint160(uint64 b)
{
pn[0] = (unsigned int)b;
pn[1] = (unsigned int)(b >> 32);
for (int i = 2; i < WIDTH; i++)
pn[i] = 0;
}
uint160& operator=(uint64 b)
{
pn[0] = (unsigned int)b;
pn[1] = (unsigned int)(b >> 32);
for (int i = 2; i < WIDTH; i++)
pn[i] = 0;
return *this;
}
explicit uint160(const std::string& str)
{
SetHex(str);
}
explicit uint160(const std::vector<unsigned char>& vch)
{
if (vch.size() == sizeof(pn))
memcpy(pn, &vch[0], sizeof(pn));
else
*this = 0;
}
};
inline bool operator==(const uint160& a, uint64 b) { return (base_uint160)a == b; }
inline bool operator!=(const uint160& a, uint64 b) { return (base_uint160)a != b; }
inline const uint160 operator<<(const base_uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
inline const uint160 operator>>(const base_uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
inline const uint160 operator<<(const uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
inline const uint160 operator>>(const uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
inline const uint160 operator^(const base_uint160& a, const base_uint160& b) { return uint160(a) ^= b; }
inline const uint160 operator&(const base_uint160& a, const base_uint160& b) { return uint160(a) &= b; }
inline const uint160 operator|(const base_uint160& a, const base_uint160& b) { return uint160(a) |= b; }
inline const uint160 operator+(const base_uint160& a, const base_uint160& b) { return uint160(a) += b; }
inline const uint160 operator-(const base_uint160& a, const base_uint160& b) { return uint160(a) -= b; }
inline bool operator<(const base_uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
inline bool operator<=(const base_uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
inline bool operator>(const base_uint160& a, const uint160& b) { return (base_uint160)a > (base_uint160)b; }
inline bool operator>=(const base_uint160& a, const uint160& b) { return (base_uint160)a >= (base_uint160)b; }
inline bool operator==(const base_uint160& a, const uint160& b) { return (base_uint160)a == (base_uint160)b; }
inline bool operator!=(const base_uint160& a, const uint160& b) { return (base_uint160)a != (base_uint160)b; }
inline const uint160 operator^(const base_uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
inline const uint160 operator&(const base_uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
inline const uint160 operator|(const base_uint160& a, const uint160& b) { return (base_uint160)a | (base_uint160)b; }
inline const uint160 operator+(const base_uint160& a, const uint160& b) { return (base_uint160)a + (base_uint160)b; }
inline const uint160 operator-(const base_uint160& a, const uint160& b) { return (base_uint160)a - (base_uint160)b; }
inline bool operator<(const uint160& a, const base_uint160& b) { return (base_uint160)a < (base_uint160)b; }
inline bool operator<=(const uint160& a, const base_uint160& b) { return (base_uint160)a <= (base_uint160)b; }
inline bool operator>(const uint160& a, const base_uint160& b) { return (base_uint160)a > (base_uint160)b; }
inline bool operator>=(const uint160& a, const base_uint160& b) { return (base_uint160)a >= (base_uint160)b; }
inline bool operator==(const uint160& a, const base_uint160& b) { return (base_uint160)a == (base_uint160)b; }
inline bool operator!=(const uint160& a, const base_uint160& b) { return (base_uint160)a != (base_uint160)b; }
inline const uint160 operator^(const uint160& a, const base_uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
inline const uint160 operator&(const uint160& a, const base_uint160& b) { return (base_uint160)a & (base_uint160)b; }
inline const uint160 operator|(const uint160& a, const base_uint160& b) { return (base_uint160)a | (base_uint160)b; }
inline const uint160 operator+(const uint160& a, const base_uint160& b) { return (base_uint160)a + (base_uint160)b; }
inline const uint160 operator-(const uint160& a, const base_uint160& b) { return (base_uint160)a - (base_uint160)b; }
inline bool operator<(const uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
inline bool operator<=(const uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
inline bool operator>(const uint160& a, const uint160& b) { return (base_uint160)a > (base_uint160)b; }
inline bool operator>=(const uint160& a, const uint160& b) { return (base_uint160)a >= (base_uint160)b; }
inline bool operator==(const uint160& a, const uint160& b) { return (base_uint160)a == (base_uint160)b; }
inline bool operator!=(const uint160& a, const uint160& b) { return (base_uint160)a != (base_uint160)b; }
inline const uint160 operator^(const uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
inline const uint160 operator&(const uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
inline const uint160 operator|(const uint160& a, const uint160& b) { return (base_uint160)a | (base_uint160)b; }
inline const uint160 operator+(const uint160& a, const uint160& b) { return (base_uint160)a + (base_uint160)b; }
inline const uint160 operator-(const uint160& a, const uint160& b) { return (base_uint160)a - (base_uint160)b; }
//////////////////////////////////////////////////////////////////////////////
//
// uint256
//
class uint256 : public base_uint256
{
public:
typedef base_uint256 basetype;
uint256()
{
for (int i = 0; i < WIDTH; i++)
pn[i] = 0;
}
uint256(const basetype& b)
{
for (int i = 0; i < WIDTH; i++)
pn[i] = b.pn[i];
}
uint256& operator=(const basetype& b)
{
for (int i = 0; i < WIDTH; i++)
pn[i] = b.pn[i];
return *this;
}
uint256(uint64 b)
{
pn[0] = (unsigned int)b;
pn[1] = (unsigned int)(b >> 32);
for (int i = 2; i < WIDTH; i++)
pn[i] = 0;
}
uint256& operator=(uint64 b)
{
pn[0] = (unsigned int)b;
pn[1] = (unsigned int)(b >> 32);
for (int i = 2; i < WIDTH; i++)
pn[i] = 0;
return *this;
}
explicit uint256(const std::string& str)
{
SetHex(str);
}
explicit uint256(const std::vector<unsigned char>& vch)
{
if (vch.size() == sizeof(pn))
memcpy(pn, &vch[0], sizeof(pn));
else
*this = 0;
}
};
inline bool operator==(const uint256& a, uint64 b) { return (base_uint256)a == b; }
inline bool operator!=(const uint256& a, uint64 b) { return (base_uint256)a != b; }
inline const uint256 operator<<(const base_uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
inline const uint256 operator>>(const base_uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
inline const uint256 operator<<(const uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
inline const uint256 operator>>(const uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
inline const uint256 operator^(const base_uint256& a, const base_uint256& b) { return uint256(a) ^= b; }
inline const uint256 operator&(const base_uint256& a, const base_uint256& b) { return uint256(a) &= b; }
inline const uint256 operator|(const base_uint256& a, const base_uint256& b) { return uint256(a) |= b; }
inline const uint256 operator+(const base_uint256& a, const base_uint256& b) { return uint256(a) += b; }
inline const uint256 operator-(const base_uint256& a, const base_uint256& b) { return uint256(a) -= b; }
inline bool operator<(const base_uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
inline bool operator<=(const base_uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
inline bool operator>(const base_uint256& a, const uint256& b) { return (base_uint256)a > (base_uint256)b; }
inline bool operator>=(const base_uint256& a, const uint256& b) { return (base_uint256)a >= (base_uint256)b; }
inline bool operator==(const base_uint256& a, const uint256& b) { return (base_uint256)a == (base_uint256)b; }
inline bool operator!=(const base_uint256& a, const uint256& b) { return (base_uint256)a != (base_uint256)b; }
inline const uint256 operator^(const base_uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
inline const uint256 operator&(const base_uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
inline const uint256 operator|(const base_uint256& a, const uint256& b) { return (base_uint256)a | (base_uint256)b; }
inline const uint256 operator+(const base_uint256& a, const uint256& b) { return (base_uint256)a + (base_uint256)b; }
inline const uint256 operator-(const base_uint256& a, const uint256& b) { return (base_uint256)a - (base_uint256)b; }
inline bool operator<(const uint256& a, const base_uint256& b) { return (base_uint256)a < (base_uint256)b; }
inline bool operator<=(const uint256& a, const base_uint256& b) { return (base_uint256)a <= (base_uint256)b; }
inline bool operator>(const uint256& a, const base_uint256& b) { return (base_uint256)a > (base_uint256)b; }
inline bool operator>=(const uint256& a, const base_uint256& b) { return (base_uint256)a >= (base_uint256)b; }
inline bool operator==(const uint256& a, const base_uint256& b) { return (base_uint256)a == (base_uint256)b; }
inline bool operator!=(const uint256& a, const base_uint256& b) { return (base_uint256)a != (base_uint256)b; }
inline const uint256 operator^(const uint256& a, const base_uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
inline const uint256 operator&(const uint256& a, const base_uint256& b) { return (base_uint256)a & (base_uint256)b; }
inline const uint256 operator|(const uint256& a, const base_uint256& b) { return (base_uint256)a | (base_uint256)b; }
inline const uint256 operator+(const uint256& a, const base_uint256& b) { return (base_uint256)a + (base_uint256)b; }
inline const uint256 operator-(const uint256& a, const base_uint256& b) { return (base_uint256)a - (base_uint256)b; }
inline bool operator<(const uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
inline bool operator<=(const uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
inline bool operator>(const uint256& a, const uint256& b) { return (base_uint256)a > (base_uint256)b; }
inline bool operator>=(const uint256& a, const uint256& b) { return (base_uint256)a >= (base_uint256)b; }
inline bool operator==(const uint256& a, const uint256& b) { return (base_uint256)a == (base_uint256)b; }
inline bool operator!=(const uint256& a, const uint256& b) { return (base_uint256)a != (base_uint256)b; }
inline const uint256 operator^(const uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
inline const uint256 operator&(const uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
inline const uint256 operator|(const uint256& a, const uint256& b) { return (base_uint256)a | (base_uint256)b; }
inline const uint256 operator+(const uint256& a, const uint256& b) { return (base_uint256)a + (base_uint256)b; }
inline const uint256 operator-(const uint256& a, const uint256& b) { return (base_uint256)a - (base_uint256)b; }
#ifdef TEST_UINT256
inline int Testuint256AdHoc(std::vector<std::string> vArg)
{
uint256 g(0);
printf("%s\n", g.ToString().c_str());
g--; printf("g--\n");
printf("%s\n", g.ToString().c_str());
g--; printf("g--\n");
printf("%s\n", g.ToString().c_str());
g++; printf("g++\n");
printf("%s\n", g.ToString().c_str());
g++; printf("g++\n");
printf("%s\n", g.ToString().c_str());
g++; printf("g++\n");
printf("%s\n", g.ToString().c_str());
g++; printf("g++\n");
printf("%s\n", g.ToString().c_str());
uint256 a(7);
printf("a=7\n");
printf("%s\n", a.ToString().c_str());
uint256 b;
printf("b undefined\n");
printf("%s\n", b.ToString().c_str());
int c = 3;
a = c;
a.pn[3] = 15;
printf("%s\n", a.ToString().c_str());
uint256 k(c);
a = 5;
a.pn[3] = 15;
printf("%s\n", a.ToString().c_str());
b = 1;
b <<= 52;
a |= b;
a ^= 0x500;
printf("a %s\n", a.ToString().c_str());
a = a | b | (uint256)0x1000;
printf("a %s\n", a.ToString().c_str());
printf("b %s\n", b.ToString().c_str());
a = 0xfffffffe;
a.pn[4] = 9;
printf("%s\n", a.ToString().c_str());
a++;
printf("%s\n", a.ToString().c_str());
a++;
printf("%s\n", a.ToString().c_str());
a++;
printf("%s\n", a.ToString().c_str());
a++;
printf("%s\n", a.ToString().c_str());
a--;
printf("%s\n", a.ToString().c_str());
a--;
printf("%s\n", a.ToString().c_str());
a--;
printf("%s\n", a.ToString().c_str());
uint256 d = a--;
printf("%s\n", d.ToString().c_str());
printf("%s\n", a.ToString().c_str());
a--;
printf("%s\n", a.ToString().c_str());
a--;
printf("%s\n", a.ToString().c_str());
d = a;
printf("%s\n", d.ToString().c_str());
for (int i = uint256::WIDTH-1; i >= 0; i--) printf("%08x", d.pn[i]); printf("\n");
uint256 neg = d;
neg = ~neg;
printf("%s\n", neg.ToString().c_str());
uint256 e = uint256("0xABCDEF123abcdef12345678909832180000011111111");
printf("\n");
printf("%s\n", e.ToString().c_str());
printf("\n");
uint256 x1 = uint256("0xABCDEF123abcdef12345678909832180000011111111");
uint256 x2;
printf("%s\n", x1.ToString().c_str());
for (int i = 0; i < 270; i += 4)
{
x2 = x1 << i;
printf("%s\n", x2.ToString().c_str());
}
printf("\n");
printf("%s\n", x1.ToString().c_str());
for (int i = 0; i < 270; i += 4)
{
x2 = x1;
x2 >>= i;
printf("%s\n", x2.ToString().c_str());
}
for (int i = 0; i < 100; i++)
{
uint256 k = (~uint256(0) >> i);
printf("%s\n", k.ToString().c_str());
}
for (int i = 0; i < 100; i++)
{
uint256 k = (~uint256(0) << i);
printf("%s\n", k.ToString().c_str());
}
return (0);
}
#endif
#endif

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