// 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.
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_BIGNUM_H
#define BITCOIN_BIGNUM_H
+
+#include "serialize.h"
+#include "version.h"
+
+#include <openssl/bn.h>
+
#include <stdexcept>
#include <vector>
-#include <openssl/bn.h>
+#include <algorithm>
-#include "util.h" // for uint64
+class uint160;
+class uint256;
/** Errors thrown by the bignum class */
class bignum_error : public std::runtime_error
BN_CTX* operator=(BN_CTX* pnew) { return pctx = pnew; }
public:
- CAutoBN_CTX()
- {
- pctx = BN_CTX_new();
- if (pctx == NULL)
- throw bignum_error("CAutoBN_CTX : BN_CTX_new() returned NULL");
- }
-
- ~CAutoBN_CTX()
- {
- if (pctx != NULL)
- BN_CTX_free(pctx);
- }
+ CAutoBN_CTX();
+ ~CAutoBN_CTX();
operator BN_CTX*() { return pctx; }
BN_CTX& operator*() { return *pctx; }
/** C++ wrapper for BIGNUM (OpenSSL bignum) */
-class CBigNum : public BIGNUM
+class CBigNum
{
+private:
+ BIGNUM* bn;
public:
- CBigNum()
- {
- BN_init(this);
- }
-
- CBigNum(const CBigNum& b)
- {
- BN_init(this);
- if (!BN_copy(this, &b))
- {
- BN_clear_free(this);
- throw bignum_error("CBigNum::CBigNum(const CBigNum&) : BN_copy failed");
- }
- }
-
- CBigNum& operator=(const CBigNum& b)
- {
- if (!BN_copy(this, &b))
- throw bignum_error("CBigNum::operator= : BN_copy failed");
- return (*this);
- }
-
- ~CBigNum()
- {
- BN_clear_free(this);
- }
-
- //CBigNum(char n) is not portable. Use 'signed char' or 'unsigned char'.
- CBigNum(signed char n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); }
- CBigNum(short n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); }
- CBigNum(int n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); }
- CBigNum(long n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); }
- CBigNum(int64 n) { BN_init(this); setint64(n); }
- CBigNum(unsigned char n) { BN_init(this); setulong(n); }
- CBigNum(unsigned short n) { BN_init(this); setulong(n); }
- CBigNum(unsigned int n) { BN_init(this); setulong(n); }
- CBigNum(unsigned long n) { BN_init(this); setulong(n); }
- CBigNum(uint64 n) { BN_init(this); setuint64(n); }
- explicit CBigNum(uint256 n) { BN_init(this); setuint256(n); }
-
- explicit CBigNum(const std::vector<unsigned char>& vch)
- {
- BN_init(this);
- setvch(vch);
- }
-
- void setulong(unsigned long n)
- {
- if (!BN_set_word(this, n))
- throw bignum_error("CBigNum conversion from unsigned long : BN_set_word failed");
- }
-
- unsigned long getulong() const
- {
- return BN_get_word(this);
- }
-
- unsigned int getuint() const
- {
- return BN_get_word(this);
- }
-
- int getint() const
- {
- unsigned long n = BN_get_word(this);
- if (!BN_is_negative(this))
- return (n > std::numeric_limits<int>::max() ? std::numeric_limits<int>::max() : n);
- else
- return (n > std::numeric_limits<int>::max() ? std::numeric_limits<int>::min() : -(int)n);
- }
-
- void setint64(int64 n)
- {
- unsigned char pch[sizeof(n) + 6];
- unsigned char* p = pch + 4;
- bool fNegative = false;
- if (n < (int64)0)
- {
- n = -n;
- fNegative = true;
- }
- bool fLeadingZeroes = true;
- for (int i = 0; i < 8; i++)
- {
- unsigned char c = (n >> 56) & 0xff;
- n <<= 8;
- if (fLeadingZeroes)
- {
- if (c == 0)
- continue;
- if (c & 0x80)
- *p++ = (fNegative ? 0x80 : 0);
- else if (fNegative)
- c |= 0x80;
- fLeadingZeroes = false;
- }
- *p++ = c;
- }
- unsigned int nSize = p - (pch + 4);
- pch[0] = (nSize >> 24) & 0xff;
- pch[1] = (nSize >> 16) & 0xff;
- pch[2] = (nSize >> 8) & 0xff;
- pch[3] = (nSize) & 0xff;
- BN_mpi2bn(pch, p - pch, this);
- }
-
- void setuint64(uint64 n)
- {
- unsigned char pch[sizeof(n) + 6];
- unsigned char* p = pch + 4;
- bool fLeadingZeroes = true;
- for (int i = 0; i < 8; i++)
- {
- unsigned char c = (n >> 56) & 0xff;
- n <<= 8;
- if (fLeadingZeroes)
- {
- if (c == 0)
- continue;
- if (c & 0x80)
- *p++ = 0;
- fLeadingZeroes = false;
- }
- *p++ = c;
- }
- unsigned int nSize = p - (pch + 4);
- pch[0] = (nSize >> 24) & 0xff;
- pch[1] = (nSize >> 16) & 0xff;
- pch[2] = (nSize >> 8) & 0xff;
- pch[3] = (nSize) & 0xff;
- BN_mpi2bn(pch, p - pch, this);
- }
-
- void setuint256(uint256 n)
- {
- unsigned char pch[sizeof(n) + 6];
- unsigned char* p = pch + 4;
- bool fLeadingZeroes = true;
- unsigned char* pbegin = (unsigned char*)&n;
- unsigned char* psrc = pbegin + sizeof(n);
- while (psrc != pbegin)
- {
- unsigned char c = *(--psrc);
- if (fLeadingZeroes)
- {
- if (c == 0)
- continue;
- if (c & 0x80)
- *p++ = 0;
- fLeadingZeroes = false;
- }
- *p++ = c;
- }
- unsigned int nSize = p - (pch + 4);
- pch[0] = (nSize >> 24) & 0xff;
- pch[1] = (nSize >> 16) & 0xff;
- pch[2] = (nSize >> 8) & 0xff;
- pch[3] = (nSize >> 0) & 0xff;
- BN_mpi2bn(pch, p - pch, this);
- }
-
- uint256 getuint256()
- {
- unsigned int nSize = BN_bn2mpi(this, NULL);
- if (nSize < 4)
- return 0;
- std::vector<unsigned char> vch(nSize);
- BN_bn2mpi(this, &vch[0]);
- if (vch.size() > 4)
- vch[4] &= 0x7f;
- uint256 n = 0;
- for (unsigned int i = 0, j = vch.size()-1; i < sizeof(n) && j >= 4; i++, j--)
- ((unsigned char*)&n)[i] = vch[j];
- return n;
- }
-
- void setvch(const std::vector<unsigned char>& vch)
- {
- std::vector<unsigned char> vch2(vch.size() + 4);
- unsigned int nSize = vch.size();
- // BIGNUM's byte stream format expects 4 bytes of
- // big endian size data info at the front
- vch2[0] = (nSize >> 24) & 0xff;
- vch2[1] = (nSize >> 16) & 0xff;
- vch2[2] = (nSize >> 8) & 0xff;
- vch2[3] = (nSize >> 0) & 0xff;
- // swap data to big endian
- reverse_copy(vch.begin(), vch.end(), vch2.begin() + 4);
- BN_mpi2bn(&vch2[0], vch2.size(), this);
- }
-
- std::vector<unsigned char> getvch() const
- {
- unsigned int nSize = BN_bn2mpi(this, NULL);
- if (nSize <= 4)
- return std::vector<unsigned char>();
- std::vector<unsigned char> vch(nSize);
- BN_bn2mpi(this, &vch[0]);
- vch.erase(vch.begin(), vch.begin() + 4);
- reverse(vch.begin(), vch.end());
- return vch;
- }
-
- CBigNum& SetCompact(unsigned int nCompact)
- {
- unsigned int nSize = nCompact >> 24;
- std::vector<unsigned char> vch(4 + nSize);
- vch[3] = nSize;
- if (nSize >= 1) vch[4] = (nCompact >> 16) & 0xff;
- if (nSize >= 2) vch[5] = (nCompact >> 8) & 0xff;
- if (nSize >= 3) vch[6] = (nCompact >> 0) & 0xff;
- BN_mpi2bn(&vch[0], vch.size(), this);
- return *this;
- }
-
- unsigned int GetCompact() const
- {
- unsigned int nSize = BN_bn2mpi(this, NULL);
- std::vector<unsigned char> vch(nSize);
- nSize -= 4;
- BN_bn2mpi(this, &vch[0]);
- unsigned int nCompact = nSize << 24;
- if (nSize >= 1) nCompact |= (vch[4] << 16);
- if (nSize >= 2) nCompact |= (vch[5] << 8);
- if (nSize >= 3) nCompact |= (vch[6] << 0);
- return nCompact;
- }
-
- void SetHex(const std::string& str)
- {
- // skip 0x
- const char* psz = str.c_str();
- while (isspace(*psz))
- psz++;
- bool fNegative = false;
- if (*psz == '-')
- {
- fNegative = true;
- psz++;
- }
- if (psz[0] == '0' && tolower(psz[1]) == 'x')
- psz += 2;
- while (isspace(*psz))
- psz++;
-
- // hex string to bignum
- static signed 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 };
- *this = 0;
- while (isxdigit(*psz))
- {
- *this <<= 4;
- int n = phexdigit[(unsigned char)*psz++];
- *this += n;
- }
- if (fNegative)
- *this = 0 - *this;
- }
-
- std::string ToString(int nBase=10) const
- {
- CAutoBN_CTX pctx;
- CBigNum bnBase = nBase;
- CBigNum bn0 = 0;
- std::string str;
- CBigNum bn = *this;
- BN_set_negative(&bn, false);
- CBigNum dv;
- CBigNum rem;
- if (BN_cmp(&bn, &bn0) == 0)
- return "0";
- while (BN_cmp(&bn, &bn0) > 0)
- {
- if (!BN_div(&dv, &rem, &bn, &bnBase, pctx))
- throw bignum_error("CBigNum::ToString() : BN_div failed");
- bn = dv;
- unsigned int c = rem.getulong();
- str += "0123456789abcdef"[c];
- }
- if (BN_is_negative(this))
- str += "-";
- reverse(str.begin(), str.end());
- return str;
- }
-
- std::string GetHex() const
- {
- return ToString(16);
- }
+ CBigNum();
+ CBigNum(const CBigNum& b);
+ CBigNum& operator=(const CBigNum& b);
+ CBigNum(const BIGNUM *bnp);
+
+ ~CBigNum();
+
+ CBigNum(bool n) { bn = BN_new(); setuint32(n); }
+
+ CBigNum(int8_t n) { bn = BN_new(); if (n >= 0) setuint32(n); else setint64(n); }
+ CBigNum(int16_t n) { bn = BN_new(); if (n >= 0) setuint32(n); else setint64(n); }
+ CBigNum(int32_t n) { bn = BN_new(); if (n >= 0) setuint32(n); else setint64(n); }
+ CBigNum(int64_t n) { bn = BN_new(); if (n >= 0) setuint64(n); else setint64(n); }
+
+ CBigNum(uint8_t n) { bn = BN_new(); setuint32(n); }
+ CBigNum(uint16_t n) { bn = BN_new(); setuint32(n); }
+ CBigNum(uint32_t n) { bn = BN_new(); setuint32(n); }
+ CBigNum(uint64_t n) { bn = BN_new(); setuint64(n); }
+
+ explicit CBigNum(uint256 n);
+ explicit CBigNum(const std::vector<uint8_t>& vch) { bn = BN_new(); setvch(vch); }
+
+ void setuint32(uint32_t n);
+ uint32_t getuint32() const;
+ int32_t getint32() const;
+ void setint64(int64_t sn);
+ uint64_t getuint64();
+
+ //supress msvc C4127: conditional expression is constant
+ inline bool check(bool value) {return value;}
+
+ void setuint64(uint64_t n);
+ void setuint160(uint160 n);
+ uint160 getuint160() const;
+ void setuint256(uint256 n);
+ uint256 getuint256() const;
+ void setBytes(const std::vector<uint8_t>& vchBytes);
+ std::vector<uint8_t> getBytes() const;
+ void setvch(const std::vector<uint8_t>& vch);
+ std::vector<uint8_t> getvch() const;
+ CBigNum& SetCompact(uint32_t nCompact);
+ uint32_t GetCompact() const;
+ void SetHex(const std::string& str);
+ std::string ToString(int nBase=10) const;
+ std::string GetHex() const { return ToString(16); }
+ BIGNUM* get() const { return BN_dup(bn); }
unsigned int GetSerializeSize(int nType=0, int nVersion=PROTOCOL_VERSION) const
{
template<typename Stream>
void Unserialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION)
{
- std::vector<unsigned char> vch;
+ std::vector<uint8_t> vch;
::Unserialize(s, vch, nType, nVersion);
setvch(vch);
}
+ bool operator!() const;
- bool operator!() const
- {
- return BN_is_zero(this);
- }
-
- CBigNum& operator+=(const CBigNum& b)
- {
- if (!BN_add(this, this, &b))
- throw bignum_error("CBigNum::operator+= : BN_add failed");
- return *this;
- }
-
- CBigNum& operator-=(const CBigNum& b)
- {
- *this = *this - b;
- return *this;
- }
-
- CBigNum& operator*=(const CBigNum& b)
- {
- CAutoBN_CTX pctx;
- if (!BN_mul(this, this, &b, pctx))
- throw bignum_error("CBigNum::operator*= : BN_mul failed");
- return *this;
- }
-
- CBigNum& operator/=(const CBigNum& b)
- {
- *this = *this / b;
- return *this;
- }
-
- CBigNum& operator%=(const CBigNum& b)
- {
- *this = *this % b;
- return *this;
- }
-
- CBigNum& operator<<=(unsigned int shift)
- {
- if (!BN_lshift(this, this, shift))
- throw bignum_error("CBigNum:operator<<= : BN_lshift failed");
- return *this;
- }
-
- CBigNum& operator>>=(unsigned int shift)
- {
- // Note: BN_rshift segfaults on 64-bit if 2^shift is greater than the number
- // if built on ubuntu 9.04 or 9.10, probably depends on version of openssl
- CBigNum a = 1;
- a <<= shift;
- if (BN_cmp(&a, this) > 0)
- {
- *this = 0;
- return *this;
- }
-
- if (!BN_rshift(this, this, shift))
- throw bignum_error("CBigNum:operator>>= : BN_rshift failed");
- return *this;
- }
-
-
- CBigNum& operator++()
- {
- // prefix operator
- if (!BN_add(this, this, BN_value_one()))
- throw bignum_error("CBigNum::operator++ : BN_add failed");
- return *this;
- }
-
- const CBigNum operator++(int)
- {
- // postfix operator
- const CBigNum ret = *this;
- ++(*this);
- return ret;
- }
-
- CBigNum& operator--()
- {
- // prefix operator
- CBigNum r;
- if (!BN_sub(&r, this, BN_value_one()))
- throw bignum_error("CBigNum::operator-- : BN_sub failed");
- *this = r;
- return *this;
- }
-
- const CBigNum operator--(int)
- {
- // postfix operator
- const CBigNum ret = *this;
- --(*this);
- return ret;
- }
-
+ CBigNum& operator+=(const CBigNum& b);
+ CBigNum& operator-=(const CBigNum& b);
+ CBigNum& operator*=(const CBigNum& b);
+ CBigNum& operator/=(const CBigNum& b);
+ CBigNum& operator%=(const CBigNum& b);
+ CBigNum& operator<<=(unsigned int shift);
+ CBigNum& operator>>=(unsigned int shift);
+ CBigNum& operator++();
+ const CBigNum operator++(int);
+ CBigNum& operator--();
+ const CBigNum operator--(int);
friend inline const CBigNum operator-(const CBigNum& a, const CBigNum& b);
friend inline const CBigNum operator/(const CBigNum& a, const CBigNum& b);
friend inline const CBigNum operator%(const CBigNum& a, const CBigNum& b);
+ friend inline const CBigNum operator*(const CBigNum& a, const CBigNum& b);
+ friend inline const CBigNum operator+(const CBigNum& a, const CBigNum& b);
+ friend inline const CBigNum operator*(const CBigNum& a);
+
+ friend inline const CBigNum operator-(const CBigNum& a);
+ friend inline const CBigNum operator<<(const CBigNum& a, unsigned int shift);
+
+ friend inline bool operator==(const CBigNum& a, const CBigNum& b);
+ friend inline bool operator!=(const CBigNum& a, const CBigNum& b);
+ friend inline bool operator<=(const CBigNum& a, const CBigNum& b);
+ friend inline bool operator>=(const CBigNum& a, const CBigNum& b);
+ friend inline bool operator<(const CBigNum& a, const CBigNum& b);
+ friend inline bool operator>(const CBigNum& a, const CBigNum& b);
+ friend inline std::ostream& operator<<(std::ostream &strm, const CBigNum &b);
};
-
inline const CBigNum operator+(const CBigNum& a, const CBigNum& b)
{
CBigNum r;
- if (!BN_add(&r, &a, &b))
+ if (!BN_add(r.bn, a.bn, b.bn))
throw bignum_error("CBigNum::operator+ : BN_add failed");
return r;
}
inline const CBigNum operator-(const CBigNum& a, const CBigNum& b)
{
CBigNum r;
- if (!BN_sub(&r, &a, &b))
+ if (!BN_sub(r.bn, a.bn, b.bn))
throw bignum_error("CBigNum::operator- : BN_sub failed");
return r;
}
inline const CBigNum operator-(const CBigNum& a)
{
CBigNum r(a);
- BN_set_negative(&r, !BN_is_negative(&r));
+ BN_set_negative(r.bn, !BN_is_negative(r.bn));
return r;
}
{
CAutoBN_CTX pctx;
CBigNum r;
- if (!BN_mul(&r, &a, &b, pctx))
+ if (!BN_mul(r.bn, a.bn, b.bn, pctx))
throw bignum_error("CBigNum::operator* : BN_mul failed");
return r;
}
{
CAutoBN_CTX pctx;
CBigNum r;
- if (!BN_div(&r, NULL, &a, &b, pctx))
+ if (!BN_div(r.bn, NULL, a.bn, b.bn, pctx))
throw bignum_error("CBigNum::operator/ : BN_div failed");
return r;
}
{
CAutoBN_CTX pctx;
CBigNum r;
- if (!BN_mod(&r, &a, &b, pctx))
+ if (!BN_nnmod(r.bn, a.bn, b.bn, pctx))
throw bignum_error("CBigNum::operator% : BN_div failed");
return r;
}
inline const CBigNum operator<<(const CBigNum& a, unsigned int shift)
{
CBigNum r;
- if (!BN_lshift(&r, &a, shift))
+ if (!BN_lshift(r.bn, a.bn, shift))
throw bignum_error("CBigNum:operator<< : BN_lshift failed");
return r;
}
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); }
+inline bool operator==(const CBigNum& a, const CBigNum& b) { return (BN_cmp(a.bn, b.bn) == 0); }
+inline bool operator!=(const CBigNum& a, const CBigNum& b) { return (BN_cmp(a.bn, b.bn) != 0); }
+inline bool operator<=(const CBigNum& a, const CBigNum& b) { return (BN_cmp(a.bn, b.bn) <= 0); }
+inline bool operator>=(const CBigNum& a, const CBigNum& b) { return (BN_cmp(a.bn, b.bn) >= 0); }
+inline bool operator<(const CBigNum& a, const CBigNum& b) { return (BN_cmp(a.bn, b.bn) < 0); }
+inline bool operator>(const CBigNum& a, const CBigNum& b) { return (BN_cmp(a.bn, b.bn) > 0); }
+
+inline std::ostream& operator<<(std::ostream &strm, const CBigNum &b) { return strm << b.ToString(10); }
#endif