// Copyright (c) 2009-2010 Satoshi Nakamoto // Copyright (c) 2011 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. CBigNum::CBigNum() { BN_init(this); } CBigNum::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& CBigNum::operator=(const CBigNum& b) { if (!BN_copy(this, &b)) throw bignum_error("CBigNum::operator= : BN_copy failed"); return (*this); } CBigNum::~CBigNum() { BN_clear_free(this); } CBigNum::CBigNum(char n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); } CBigNum::CBigNum(short n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); } CBigNum::CBigNum(int n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); } CBigNum::CBigNum(long n) { BN_init(this); if (n >= 0) setulong(n); else setint64(n); } CBigNum::CBigNum(int64 n) { BN_init(this); setint64(n); } CBigNum::CBigNum(unsigned char n) { BN_init(this); setulong(n); } CBigNum::CBigNum(unsigned short n) { BN_init(this); setulong(n); } CBigNum::CBigNum(unsigned int n) { BN_init(this); setulong(n); } CBigNum::CBigNum(uint64 n) { BN_init(this); setuint64(n); } CBigNum::CBigNum(uint256 n) { BN_init(this); setuint256(n); } CBigNum::CBigNum(Blob const& vch) { BN_init(this); setvch(vch); } void CBigNum::setuint(unsigned int n) { setulong(static_cast(n)); } unsigned int CBigNum::getuint() const { return BN_get_word(this); } int CBigNum::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 CBigNum::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); } uint64 CBigNum::getuint64() const { #if (ULONG_MAX > UINT_MAX) return static_cast(getulong()); #else int len = BN_num_bytes(this); if (len > 8) throw std::runtime_error("BN getuint64 overflow"); unsigned char buf[8]; memset(buf, 0, sizeof(buf)); BN_bn2bin(this, buf + 8 - len); return static_cast(buf[0]) << 56 | static_cast(buf[1]) << 48 | static_cast(buf[2]) << 40 | static_cast(buf[3]) << 32 | static_cast(buf[4]) << 24 | static_cast(buf[5]) << 16 | static_cast(buf[6]) << 8 | static_cast(buf[7]); #endif } void CBigNum::setuint64(uint64 n) { #if (ULONG_MAX > UINT_MAX) setulong(static_cast(n)); #else unsigned char buf[8]; buf[0] = static_cast((n >> 56) & 0xff); buf[1] = static_cast((n >> 48) & 0xff); buf[2] = static_cast((n >> 40) & 0xff); buf[3] = static_cast((n >> 32) & 0xff); buf[4] = static_cast((n >> 24) & 0xff); buf[5] = static_cast((n >> 16) & 0xff); buf[6] = static_cast((n >> 8) & 0xff); buf[7] = static_cast((n) & 0xff); BN_bin2bn(buf, 8, this); #endif } void CBigNum::setuint256(const uint256& n) { BN_bin2bn(n.begin(), n.size(), NULL); } uint256 CBigNum::getuint256() { uint256 ret; unsigned int size = BN_num_bytes(this); if (size > ret.size()) return ret; BN_bn2bin(this, ret.begin() + (ret.size() - BN_num_bytes(this))); return ret; } void CBigNum::setvch(Blob const& vch) { Blob 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 std::reverse_copy(vch.begin(), vch.end(), vch2.begin() + 4); BN_mpi2bn(&vch2[0], vch2.size(), this); } Blob CBigNum::getvch() const { unsigned int nSize = BN_bn2mpi(this, NULL); if (nSize < 4) return Blob (); Blob vch(nSize); BN_bn2mpi(this, &vch[0]); vch.erase(vch.begin(), vch.begin() + 4); reverse(vch.begin(), vch.end()); return vch; } CBigNum& CBigNum::SetCompact(unsigned int nCompact) { unsigned int nSize = nCompact >> 24; Blob 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 CBigNum::GetCompact() const { unsigned int nSize = BN_bn2mpi(this, NULL); Blob 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 CBigNum::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[(int) *psz++]; *this += n; } if (fNegative) *this = 0 - *this; } std::string CBigNum::ToString(int nBase) 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.getuint(); str += "0123456789abcdef"[c]; } if (BN_is_negative(this)) str += "-"; reverse(str.begin(), str.end()); return str; } std::string CBigNum::GetHex() const { return ToString(16); } bool CBigNum::operator!() const { return BN_is_zero(this); } CBigNum& CBigNum::operator+=(const CBigNum& b) { if (!BN_add(this, this, &b)) throw bignum_error("CBigNum::operator+= : BN_add failed"); return *this; } CBigNum& CBigNum::operator-=(const CBigNum& b) { *this = *this - b; return *this; } CBigNum& 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& CBigNum::operator/=(const CBigNum& b) { *this = *this / b; return *this; } CBigNum& CBigNum::operator%=(const CBigNum& b) { *this = *this % b; return *this; } CBigNum& CBigNum::operator<<=(unsigned int shift) { if (!BN_lshift(this, this, shift)) throw bignum_error("CBigNum:operator<<= : BN_lshift failed"); return *this; } CBigNum& 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& CBigNum::operator++() { // prefix operator if (!BN_add(this, this, BN_value_one())) throw bignum_error("CBigNum::operator++ : BN_add failed"); return *this; } const CBigNum CBigNum::operator++(int) { // postfix operator const CBigNum ret = *this; ++(*this); return ret; } CBigNum& 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 CBigNum::operator--(int) { // postfix operator const CBigNum ret = *this; --(*this); return ret; } void CBigNum::setulong(unsigned long n) { if (!BN_set_word(this, n)) throw bignum_error("CBigNum conversion from unsigned long : BN_set_word failed"); } unsigned long CBigNum::getulong() const { return BN_get_word(this); } 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; } 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; } const CBigNum operator-(const CBigNum& a) { CBigNum r(a); BN_set_negative(&r, !BN_is_negative(&r)); return r; } 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; } 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; } 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; } 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; } const CBigNum operator>>(const CBigNum& a, unsigned int shift) { CBigNum r = a; r >>= shift; return r; } bool operator== (const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) == 0); } bool operator!= (const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) != 0); } bool operator<= (const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) <= 0); } bool operator>= (const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) >= 0); } bool operator< (const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) < 0); } bool operator> (const CBigNum& a, const CBigNum& b) { return (BN_cmp(&a, &b) > 0); } #if (ULONG_MAX > UINT_MAX) int BN_add_word64 (BIGNUM* bn, uint64 word) { return BN_add_word(bn, word); } int BN_sub_word64 (BIGNUM* bn, uint64 word) { return BN_sub_word(bn, word); } int BN_mul_word64 (BIGNUM* bn, uint64 word) { return BN_mul_word(bn, word); } uint64 BN_div_word64 (BIGNUM* bn, uint64 word) { return BN_div_word(bn, word); } #else int BN_add_word64 (BIGNUM *a, uint64 w) { CBigNum bn(w); return BN_add(a, &bn, a); } int BN_sub_word64 (BIGNUM *a, uint64 w) { CBigNum bn(w); return BN_sub(a, &bn, a); } int BN_mul_word64 (BIGNUM *a, uint64 w) { CBigNum bn(w); CAutoBN_CTX ctx; return BN_mul(a, &bn, a, ctx); } uint64 BN_div_word64 (BIGNUM *a, uint64 w) { CBigNum bn(w); CAutoBN_CTX ctx; return (BN_div(a, NULL, a, &bn, ctx) == 1) ? 0 : ((uint64)-1); } #endif