539 lines
15 KiB
C++
539 lines
15 KiB
C++
// Copyright (c) 2009-2010 Satoshi Nakamoto
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// Copyright (c) 2009-2012 The Bitcoin developers
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// Distributed under the MIT/X11 software license, see the accompanying
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// file license.txt or http://www.opensource.org/licenses/mit-license.php.
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#ifndef BITCOIN_BIGNUM_H
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#define BITCOIN_BIGNUM_H
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#include <stdexcept>
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#include <vector>
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#include <openssl/bn.h>
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#include "util.h"
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class bignum_error : public std::runtime_error
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{
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public:
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explicit bignum_error(const std::string& str) : std::runtime_error(str) {}
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};
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class CAutoBN_CTX
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{
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protected:
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BN_CTX* pctx;
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BN_CTX* operator=(BN_CTX* pnew) { return pctx = pnew; }
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public:
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CAutoBN_CTX()
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{
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pctx = BN_CTX_new();
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if (pctx == NULL)
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throw bignum_error("CAutoBN_CTX : BN_CTX_new() returned NULL");
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}
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~CAutoBN_CTX()
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{
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if (pctx != NULL)
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BN_CTX_free(pctx);
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}
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operator BN_CTX*() { return pctx; }
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BN_CTX& operator*() { return *pctx; }
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BN_CTX** operator&() { return &pctx; }
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bool operator!() { return (pctx == NULL); }
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};
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class CBigNum : public BIGNUM
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{
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public:
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CBigNum()
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{
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BN_init(this);
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}
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CBigNum(const CBigNum& b)
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{
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BN_init(this);
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if (!BN_copy(this, &b))
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{
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BN_clear_free(this);
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throw bignum_error("CBigNum::CBigNum(const CBigNum&) : BN_copy failed");
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}
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}
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CBigNum& operator=(const CBigNum& b)
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{
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if (!BN_copy(this, &b))
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throw bignum_error("CBigNum::operator= : BN_copy failed");
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return (*this);
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}
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~CBigNum()
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{
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BN_clear_free(this);
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}
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CBigNum(char n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); }
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CBigNum(short n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); }
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CBigNum(int n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); }
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CBigNum(long n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); }
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CBigNum(int64 n) { BN_init(this); setint64(n); }
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CBigNum(unsigned char n) { BN_init(this); setulong(n); }
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CBigNum(unsigned short n) { BN_init(this); setulong(n); }
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CBigNum(unsigned int n) { BN_init(this); setulong(n); }
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CBigNum(unsigned long n) { BN_init(this); setulong(n); }
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CBigNum(uint64 n) { BN_init(this); setuint64(n); }
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explicit CBigNum(uint256 n) { BN_init(this); setuint256(n); }
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explicit CBigNum(const std::vector<unsigned char>& vch)
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{
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BN_init(this);
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setvch(vch);
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}
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void setulong(unsigned long n)
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{
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if (!BN_set_word(this, n))
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throw bignum_error("CBigNum conversion from unsigned long : BN_set_word failed");
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}
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unsigned long getulong() const
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{
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return BN_get_word(this);
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}
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unsigned int getuint() const
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{
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return BN_get_word(this);
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}
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int getint() const
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{
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unsigned long n = BN_get_word(this);
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if (!BN_is_negative(this))
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return (n > std::numeric_limits<int>::max() ? std::numeric_limits<int>::max() : n);
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else
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return (n > std::numeric_limits<int>::max() ? std::numeric_limits<int>::min() : -(int)n);
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}
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void setint64(int64 n)
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{
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unsigned char pch[sizeof(n) + 6];
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unsigned char* p = pch + 4;
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bool fNegative = false;
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if (n < (int64)0)
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{
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n = -n;
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fNegative = true;
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}
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bool fLeadingZeroes = true;
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for (int i = 0; i < 8; i++)
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{
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unsigned char c = (n >> 56) & 0xff;
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n <<= 8;
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if (fLeadingZeroes)
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{
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if (c == 0)
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continue;
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if (c & 0x80)
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*p++ = (fNegative ? 0x80 : 0);
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else if (fNegative)
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c |= 0x80;
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fLeadingZeroes = false;
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}
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*p++ = c;
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}
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unsigned int nSize = p - (pch + 4);
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pch[0] = (nSize >> 24) & 0xff;
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pch[1] = (nSize >> 16) & 0xff;
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pch[2] = (nSize >> 8) & 0xff;
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pch[3] = (nSize) & 0xff;
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BN_mpi2bn(pch, p - pch, this);
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}
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void setuint64(uint64 n)
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{
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unsigned char pch[sizeof(n) + 6];
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unsigned char* p = pch + 4;
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bool fLeadingZeroes = true;
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for (int i = 0; i < 8; i++)
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{
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unsigned char c = (n >> 56) & 0xff;
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n <<= 8;
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if (fLeadingZeroes)
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{
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if (c == 0)
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continue;
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if (c & 0x80)
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*p++ = 0;
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fLeadingZeroes = false;
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}
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*p++ = c;
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}
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unsigned int nSize = p - (pch + 4);
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pch[0] = (nSize >> 24) & 0xff;
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pch[1] = (nSize >> 16) & 0xff;
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pch[2] = (nSize >> 8) & 0xff;
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pch[3] = (nSize) & 0xff;
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BN_mpi2bn(pch, p - pch, this);
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}
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void setuint256(uint256 n)
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{
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unsigned char pch[sizeof(n) + 6];
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unsigned char* p = pch + 4;
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bool fLeadingZeroes = true;
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unsigned char* pbegin = (unsigned char*)&n;
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unsigned char* psrc = pbegin + sizeof(n);
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while (psrc != pbegin)
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{
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unsigned char c = *(--psrc);
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if (fLeadingZeroes)
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{
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if (c == 0)
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continue;
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if (c & 0x80)
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*p++ = 0;
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fLeadingZeroes = false;
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}
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*p++ = c;
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}
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unsigned int nSize = p - (pch + 4);
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pch[0] = (nSize >> 24) & 0xff;
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pch[1] = (nSize >> 16) & 0xff;
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pch[2] = (nSize >> 8) & 0xff;
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pch[3] = (nSize >> 0) & 0xff;
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BN_mpi2bn(pch, p - pch, this);
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}
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uint256 getuint256()
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{
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unsigned int nSize = BN_bn2mpi(this, NULL);
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if (nSize < 4)
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return 0;
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std::vector<unsigned char> vch(nSize);
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BN_bn2mpi(this, &vch[0]);
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if (vch.size() > 4)
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vch[4] &= 0x7f;
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uint256 n = 0;
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for (int i = 0, j = vch.size()-1; i < sizeof(n) && j >= 4; i++, j--)
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((unsigned char*)&n)[i] = vch[j];
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return n;
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}
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void setvch(const std::vector<unsigned char>& vch)
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{
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std::vector<unsigned char> vch2(vch.size() + 4);
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unsigned int nSize = vch.size();
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// BIGNUM's byte stream format expects 4 bytes of
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// big endian size data info at the front
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vch2[0] = (nSize >> 24) & 0xff;
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vch2[1] = (nSize >> 16) & 0xff;
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vch2[2] = (nSize >> 8) & 0xff;
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vch2[3] = (nSize >> 0) & 0xff;
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// swap data to big endian
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reverse_copy(vch.begin(), vch.end(), vch2.begin() + 4);
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BN_mpi2bn(&vch2[0], vch2.size(), this);
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}
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std::vector<unsigned char> getvch() const
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{
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unsigned int nSize = BN_bn2mpi(this, NULL);
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if (nSize < 4)
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return std::vector<unsigned char>();
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std::vector<unsigned char> vch(nSize);
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BN_bn2mpi(this, &vch[0]);
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vch.erase(vch.begin(), vch.begin() + 4);
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reverse(vch.begin(), vch.end());
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return vch;
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}
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CBigNum& SetCompact(unsigned int nCompact)
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{
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unsigned int nSize = nCompact >> 24;
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std::vector<unsigned char> vch(4 + nSize);
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vch[3] = nSize;
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if (nSize >= 1) vch[4] = (nCompact >> 16) & 0xff;
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if (nSize >= 2) vch[5] = (nCompact >> 8) & 0xff;
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if (nSize >= 3) vch[6] = (nCompact >> 0) & 0xff;
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BN_mpi2bn(&vch[0], vch.size(), this);
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return *this;
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}
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unsigned int GetCompact() const
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{
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unsigned int nSize = BN_bn2mpi(this, NULL);
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std::vector<unsigned char> vch(nSize);
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nSize -= 4;
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BN_bn2mpi(this, &vch[0]);
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unsigned int nCompact = nSize << 24;
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if (nSize >= 1) nCompact |= (vch[4] << 16);
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if (nSize >= 2) nCompact |= (vch[5] << 8);
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if (nSize >= 3) nCompact |= (vch[6] << 0);
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return nCompact;
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}
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void SetHex(const std::string& str)
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{
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// skip 0x
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const char* psz = str.c_str();
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while (isspace(*psz))
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psz++;
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bool fNegative = false;
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if (*psz == '-')
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{
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fNegative = true;
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psz++;
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}
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if (psz[0] == '0' && tolower(psz[1]) == 'x')
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psz += 2;
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while (isspace(*psz))
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psz++;
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// hex string to bignum
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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 };
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*this = 0;
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while (isxdigit(*psz))
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{
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*this <<= 4;
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int n = phexdigit[*psz++];
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*this += n;
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}
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if (fNegative)
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*this = 0 - *this;
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}
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std::string ToString(int nBase=10) const
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{
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CAutoBN_CTX pctx;
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CBigNum bnBase = nBase;
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CBigNum bn0 = 0;
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std::string str;
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CBigNum bn = *this;
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BN_set_negative(&bn, false);
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CBigNum dv;
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CBigNum rem;
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if (BN_cmp(&bn, &bn0) == 0)
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return "0";
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while (BN_cmp(&bn, &bn0) > 0)
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{
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if (!BN_div(&dv, &rem, &bn, &bnBase, pctx))
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throw bignum_error("CBigNum::ToString() : BN_div failed");
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bn = dv;
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unsigned int c = rem.getulong();
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str += "0123456789abcdef"[c];
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}
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if (BN_is_negative(this))
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str += "-";
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reverse(str.begin(), str.end());
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return str;
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}
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std::string GetHex() const
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{
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return ToString(16);
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}
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unsigned int GetSerializeSize(int nType=0, int nVersion=PROTOCOL_VERSION) const
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{
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return ::GetSerializeSize(getvch(), nType, nVersion);
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}
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template<typename Stream>
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void Serialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION) const
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{
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::Serialize(s, getvch(), nType, nVersion);
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}
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template<typename Stream>
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void Unserialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION)
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{
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std::vector<unsigned char> vch;
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::Unserialize(s, vch, nType, nVersion);
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setvch(vch);
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}
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bool operator!() const
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{
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return BN_is_zero(this);
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}
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CBigNum& operator+=(const CBigNum& b)
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{
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if (!BN_add(this, this, &b))
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throw bignum_error("CBigNum::operator+= : BN_add failed");
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return *this;
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}
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CBigNum& operator-=(const CBigNum& b)
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{
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*this = *this - b;
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return *this;
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}
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CBigNum& operator*=(const CBigNum& b)
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{
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CAutoBN_CTX pctx;
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if (!BN_mul(this, this, &b, pctx))
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throw bignum_error("CBigNum::operator*= : BN_mul failed");
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return *this;
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}
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CBigNum& operator/=(const CBigNum& b)
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{
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*this = *this / b;
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return *this;
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}
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CBigNum& operator%=(const CBigNum& b)
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{
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*this = *this % b;
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return *this;
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}
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CBigNum& operator<<=(unsigned int shift)
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{
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if (!BN_lshift(this, this, shift))
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throw bignum_error("CBigNum:operator<<= : BN_lshift failed");
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return *this;
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}
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CBigNum& operator>>=(unsigned int shift)
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{
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// Note: BN_rshift segfaults on 64-bit if 2^shift is greater than the number
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// if built on ubuntu 9.04 or 9.10, probably depends on version of openssl
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CBigNum a = 1;
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a <<= shift;
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if (BN_cmp(&a, this) > 0)
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{
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*this = 0;
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return *this;
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}
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if (!BN_rshift(this, this, shift))
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throw bignum_error("CBigNum:operator>>= : BN_rshift failed");
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return *this;
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}
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CBigNum& operator++()
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{
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// prefix operator
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if (!BN_add(this, this, BN_value_one()))
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throw bignum_error("CBigNum::operator++ : BN_add failed");
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return *this;
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}
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const CBigNum operator++(int)
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{
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// postfix operator
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const CBigNum ret = *this;
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++(*this);
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return ret;
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}
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CBigNum& operator--()
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{
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// prefix operator
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CBigNum r;
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if (!BN_sub(&r, this, BN_value_one()))
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throw bignum_error("CBigNum::operator-- : BN_sub failed");
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*this = r;
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return *this;
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}
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const CBigNum operator--(int)
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{
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// postfix operator
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const CBigNum ret = *this;
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--(*this);
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return ret;
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}
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friend inline const CBigNum operator-(const CBigNum& a, const CBigNum& b);
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friend inline const CBigNum operator/(const CBigNum& a, const CBigNum& b);
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friend inline const CBigNum operator%(const CBigNum& a, const CBigNum& b);
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};
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inline const CBigNum operator+(const CBigNum& a, const CBigNum& b)
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{
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CBigNum r;
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if (!BN_add(&r, &a, &b))
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throw bignum_error("CBigNum::operator+ : BN_add failed");
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return r;
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}
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inline const CBigNum operator-(const CBigNum& a, const CBigNum& b)
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{
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CBigNum r;
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if (!BN_sub(&r, &a, &b))
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throw bignum_error("CBigNum::operator- : BN_sub failed");
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return r;
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}
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inline const CBigNum operator-(const CBigNum& a)
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{
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CBigNum r(a);
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BN_set_negative(&r, !BN_is_negative(&r));
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return r;
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}
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inline const CBigNum operator*(const CBigNum& a, const CBigNum& b)
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{
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CAutoBN_CTX pctx;
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CBigNum r;
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if (!BN_mul(&r, &a, &b, pctx))
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throw bignum_error("CBigNum::operator* : BN_mul failed");
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return r;
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}
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inline const CBigNum operator/(const CBigNum& a, const CBigNum& b)
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{
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CAutoBN_CTX pctx;
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CBigNum r;
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if (!BN_div(&r, NULL, &a, &b, pctx))
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throw bignum_error("CBigNum::operator/ : BN_div failed");
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return r;
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}
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inline const CBigNum operator%(const CBigNum& a, const CBigNum& b)
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{
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CAutoBN_CTX pctx;
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CBigNum r;
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if (!BN_mod(&r, &a, &b, pctx))
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throw bignum_error("CBigNum::operator% : BN_div failed");
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return r;
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|
}
|
|
|
|
inline const CBigNum operator<<(const CBigNum& a, unsigned int shift)
|
|
{
|
|
CBigNum r;
|
|
if (!BN_lshift(&r, &a, shift))
|
|
throw bignum_error("CBigNum:operator<< : BN_lshift failed");
|
|
return r;
|
|
}
|
|
|
|
inline const CBigNum operator>>(const CBigNum& a, unsigned int shift)
|
|
{
|
|
CBigNum r = a;
|
|
r >>= shift;
|
|
return r;
|
|
}
|
|
|
|
inline bool operator==(const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) == 0); }
|
|
inline bool operator!=(const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) != 0); }
|
|
inline bool operator<=(const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) <= 0); }
|
|
inline bool operator>=(const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) >= 0); }
|
|
inline bool operator<(const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) < 0); }
|
|
inline bool operator>(const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) > 0); }
|
|
|
|
#endif
|