diff options
author | Gavin Andresen <gavinandresen@gmail.com> | 2011-05-09 14:04:24 -0400 |
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committer | Gavin Andresen <gavinandresen@gmail.com> | 2011-05-09 14:04:24 -0400 |
commit | 91b8932eb1ff3a68d0d1e57bb43eaee3a6525f8b (patch) | |
tree | 13ebdb6bd67fae95fc30b6f76cdfd7cbe9971cce /src/bignum.h | |
parent | 59d18adc4c2aaa5f24882e6c0cbeb43b47d80a80 (diff) | |
parent | b17be7e14b4a62b7935c75fe7e7645e736fd68d2 (diff) |
Merge branch 'master' of github.com:bitcoin/bitcoin
Diffstat (limited to 'src/bignum.h')
-rw-r--r-- | src/bignum.h | 532 |
1 files changed, 532 insertions, 0 deletions
diff --git a/src/bignum.h b/src/bignum.h new file mode 100644 index 0000000000..450e809d3d --- /dev/null +++ b/src/bignum.h @@ -0,0 +1,532 @@ +// Copyright (c) 2009-2010 Satoshi Nakamoto +// Distributed under the MIT/X11 software license, see the accompanying +// file license.txt or http://www.opensource.org/licenses/mit-license.php. + +#include <stdexcept> +#include <vector> +#include <openssl/bn.h> + + + + + +class bignum_error : public std::runtime_error +{ +public: + explicit bignum_error(const std::string& str) : std::runtime_error(str) {} +}; + + + +class CAutoBN_CTX +{ +protected: + BN_CTX* pctx; + 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); + } + + operator BN_CTX*() { return pctx; } + BN_CTX& operator*() { return *pctx; } + BN_CTX** operator&() { return &pctx; } + bool operator!() { return (pctx == NULL); } +}; + + + +class CBigNum : public BIGNUM +{ +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) { 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 > INT_MAX ? INT_MAX : n); + else + return (n > INT_MAX ? 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 (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(); + vch2[0] = (nSize >> 24) & 0xff; + vch2[1] = (nSize >> 16) & 0xff; + vch2[2] = (nSize >> 8) & 0xff; + vch2[3] = (nSize >> 0) & 0xff; + 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 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[*psz++]; + *this += n; + } + if (fNegative) + *this = 0 - *this; + } + + std::string ToString(int nBase=10) const + { + CAutoBN_CTX pctx; + CBigNum bnBase = nBase; + CBigNum bn0 = 0; + 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); + } + + unsigned int GetSerializeSize(int nType=0, int nVersion=VERSION) const + { + return ::GetSerializeSize(getvch(), nType, nVersion); + } + + template<typename Stream> + void Serialize(Stream& s, int nType=0, int nVersion=VERSION) const + { + ::Serialize(s, getvch(), nType, nVersion); + } + + template<typename Stream> + void Unserialize(Stream& s, int nType=0, int nVersion=VERSION) + { + vector<unsigned char> vch; + ::Unserialize(s, vch, nType, nVersion); + setvch(vch); + } + + + 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; + } + + + 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); +}; + + + +inline const CBigNum operator+(const CBigNum& a, const CBigNum& b) +{ + CBigNum r; + if (!BN_add(&r, &a, &b)) + 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)) + 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)); + return r; +} + +inline const CBigNum operator*(const CBigNum& a, const CBigNum& b) +{ + CAutoBN_CTX pctx; + CBigNum r; + if (!BN_mul(&r, &a, &b, pctx)) + throw bignum_error("CBigNum::operator* : BN_mul failed"); + return r; +} + +inline const CBigNum operator/(const CBigNum& a, const CBigNum& b) +{ + CAutoBN_CTX pctx; + CBigNum r; + if (!BN_div(&r, NULL, &a, &b, pctx)) + throw bignum_error("CBigNum::operator/ : BN_div failed"); + return r; +} + +inline const CBigNum operator%(const CBigNum& a, const CBigNum& b) +{ + CAutoBN_CTX pctx; + CBigNum r; + if (!BN_mod(&r, &a, &b, 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)) + 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); } |