#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 "util.h"
+#include <algorithm>
+
+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; }
private:
BIGNUM* bn;
public:
- CBigNum()
- {
- bn = BN_new();
- }
-
- CBigNum(const CBigNum& b)
- {
- BIGNUM *dup = BN_dup(b.bn);
- if (!dup)
- {
- throw bignum_error("CBigNum::CBigNum(const CBigNum&) : BN_dup failed");
- }
- bn = dup;
- }
-
- CBigNum& operator=(const CBigNum& b)
- {
- BIGNUM *dup = BN_dup(b.bn);
- if (!dup)
- {
- throw bignum_error("CBigNum::operator= : BN_dup failed");
- }
- bn = dup;
- return (*this);
- }
+ CBigNum();
+ CBigNum(const CBigNum& b);
+ CBigNum& operator=(const CBigNum& b);
+ CBigNum(const BIGNUM *bnp);
- CBigNum(const BIGNUM *bnp) {
- BIGNUM *dup = BN_dup(bnp);
- if (!dup)
- {
- throw bignum_error("CBigNum::CBigNum(const BIGNUM*) : BN_dup failed");
- }
- bn = dup;
- }
+ ~CBigNum();
- ~CBigNum()
- {
- BN_clear_free(bn);
- }
+ 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(uint32_t n) { bn = BN_new(); setuint32(n); }
CBigNum(uint64_t n) { bn = BN_new(); setuint64(n); }
- explicit CBigNum(uint256 n) { bn = BN_new(); setuint256(n); }
- explicit CBigNum(const std::vector<uint8_t>& vch)
- {
- bn = BN_new();
- setvch(vch);
- }
-
- /** Generates a cryptographically secure random number between zero and range exclusive
- * i.e. 0 < returned number < range
- * @param range The upper bound on the number.
- * @return
- */
- static CBigNum randBignum(const CBigNum& range) {
- CBigNum ret;
- if(!BN_rand_range(ret.bn, range.bn)){
- throw bignum_error("CBigNum:rand element : BN_rand_range failed");
- }
- return ret;
- }
+ explicit CBigNum(uint256 n);
+ explicit CBigNum(const std::vector<uint8_t>& vch) { bn = BN_new(); setvch(vch); }
- /** Generates a cryptographically secure random k-bit number
- * @param k The bit length of the number.
- * @return
- */
- static CBigNum RandKBitBigum(const uint32_t k){
- CBigNum ret;
- if(!BN_rand(ret.bn, k, -1, 0)){
- throw bignum_error("CBigNum:rand element : BN_rand failed");
- }
- return ret;
- }
-
- /**Returns the size in bits of the underlying bignum.
- *
- * @return the size
- */
- int bitSize() const{
- return BN_num_bits(bn);
- }
-
-
- void setuint32(uint32_t n)
- {
- if (!BN_set_word(bn, n))
- throw bignum_error("CBigNum conversion from uint32_t : BN_set_word failed");
- }
-
- uint32_t getuint32() const
- {
- return BN_get_word(bn);
- }
-
- int32_t getint32() const
- {
- uint64_t n = BN_get_word(bn);
- if (!BN_is_negative(bn))
- return (n > (uint64_t)std::numeric_limits<int32_t>::max() ? std::numeric_limits<int32_t>::max() : (int32_t)n);
- else
- return (n > (uint64_t)std::numeric_limits<int32_t>::max() ? std::numeric_limits<int32_t>::min() : -(int32_t)n);
- }
-
- void setint64(int64_t sn)
- {
- uint8_t pch[sizeof(sn) + 6];
- uint8_t* p = pch + 4;
- bool fNegative;
- uint64_t n;
-
- if (sn < (int64_t)0)
- {
- // Since the minimum signed integer cannot be represented as positive so long as its type is signed, and it's not well-defined what happens if you make it unsigned before negating it, we instead increment the negative integer by 1, convert it, then increment the (now positive) unsigned integer by 1 to compensate
- n = -(sn + 1);
- ++n;
- fNegative = true;
- } else {
- n = sn;
- fNegative = false;
- }
-
- bool fLeadingZeroes = true;
- for (int i = 0; i < 8; i++)
- {
- uint8_t 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;
- }
- uint32_t nSize = (uint32_t) (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, (int)(p - pch), bn);
- }
-
- uint64_t getuint64()
- {
- size_t nSize = BN_bn2mpi(bn, NULL);
- if (nSize < 4)
- return 0;
- std::vector<uint8_t> vch(nSize);
- BN_bn2mpi(bn, &vch[0]);
- if (vch.size() > 4)
- vch[4] &= 0x7f;
- uint64_t n = 0;
- for (size_t i = 0, j = vch.size()-1; i < sizeof(n) && j >= 4; i++, j--)
- ((uint8_t*)&n)[i] = vch[j];
- return n;
- }
+ 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)
- {
- // Use BN_set_word if word size is sufficient for uint64_t
- if (check(sizeof(n) <= sizeof(BN_ULONG)))
- {
- if (!BN_set_word(bn, (BN_ULONG)n))
- throw bignum_error("CBigNum conversion from uint64_t : BN_set_word failed");
- return;
- }
-
- uint8_t pch[sizeof(n) + 6];
- uint8_t* p = pch + 4;
- bool fLeadingZeroes = true;
- for (int i = 0; i < 8; i++)
- {
- uint8_t c = (n >> 56) & 0xff;
- n <<= 8;
- if (fLeadingZeroes)
- {
- if (c == 0)
- continue;
- if (c & 0x80)
- *p++ = 0;
- fLeadingZeroes = false;
- }
- *p++ = c;
- }
- uint32_t nSize = (uint32_t) (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, (int)(p - pch), bn);
- }
-
- void setuint160(uint160 n)
- {
- uint8_t pch[sizeof(n) + 6];
- uint8_t* p = pch + 4;
- bool fLeadingZeroes = true;
- uint8_t* pbegin = (uint8_t*)&n;
- uint8_t* psrc = pbegin + sizeof(n);
- while (psrc != pbegin)
- {
- uint8_t c = *(--psrc);
- if (fLeadingZeroes)
- {
- if (c == 0)
- continue;
- if (c & 0x80)
- *p++ = 0;
- fLeadingZeroes = false;
- }
- *p++ = c;
- }
- uint32_t nSize = (uint32_t) (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, (int) (p - pch), bn);
- }
-
- uint160 getuint160() const
- {
- unsigned int nSize = BN_bn2mpi(bn, NULL);
- if (nSize < 4)
- return 0;
- std::vector<uint8_t> vch(nSize);
- BN_bn2mpi(bn, &vch[0]);
- if (vch.size() > 4)
- vch[4] &= 0x7f;
- uint160 n = 0;
- for (size_t i = 0, j = vch.size()-1; i < sizeof(n) && j >= 4; i++, j--)
- ((uint8_t*)&n)[i] = vch[j];
- return n;
- }
-
- void setuint256(uint256 n)
- {
- uint8_t pch[sizeof(n) + 6];
- uint8_t* p = pch + 4;
- bool fLeadingZeroes = true;
- uint8_t* pbegin = (uint8_t*)&n;
- uint8_t* psrc = pbegin + sizeof(n);
- while (psrc != pbegin)
- {
- uint8_t c = *(--psrc);
- if (fLeadingZeroes)
- {
- if (c == 0)
- continue;
- if (c & 0x80)
- *p++ = 0;
- fLeadingZeroes = false;
- }
- *p++ = c;
- }
- uint32_t nSize = (uint32_t) (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, (int) (p - pch), bn);
- }
-
- uint256 getuint256() const
- {
- unsigned int nSize = BN_bn2mpi(bn, NULL);
- if (nSize < 4)
- return 0;
- std::vector<uint8_t> vch(nSize);
- BN_bn2mpi(bn, &vch[0]);
- if (vch.size() > 4)
- vch[4] &= 0x7f;
- uint256 n = 0;
- for (size_t i = 0, j = vch.size()-1; i < sizeof(n) && j >= 4; i++, j--)
- ((uint8_t*)&n)[i] = vch[j];
- return n;
- }
-
- void setBytes(const std::vector<uint8_t>& vchBytes)
- {
- BN_bin2bn(&vchBytes[0], (int) vchBytes.size(), bn);
- }
-
- std::vector<uint8_t> getBytes() const
- {
- int nBytes = BN_num_bytes(bn);
-
- std::vector<uint8_t> vchBytes(nBytes);
-
- int n = BN_bn2bin(bn, &vchBytes[0]);
- if (n != nBytes) {
- throw bignum_error("CBigNum::getBytes : BN_bn2bin failed");
- }
-
- return vchBytes;
- }
-
- void setvch(const std::vector<uint8_t>& vch)
- {
- std::vector<uint8_t> vch2(vch.size() + 4);
- uint32_t nSize = (uint32_t) 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], (int) vch2.size(), bn);
- }
-
- std::vector<uint8_t> getvch() const
- {
- unsigned int nSize = BN_bn2mpi(bn, NULL);
- if (nSize <= 4)
- return std::vector<uint8_t>();
- std::vector<uint8_t> vch(nSize);
- BN_bn2mpi(bn, &vch[0]);
- vch.erase(vch.begin(), vch.begin() + 4);
- reverse(vch.begin(), vch.end());
- return vch;
- }
-
- CBigNum& SetCompact(uint32_t nCompact)
- {
- uint32_t nSize = nCompact >> 24;
- std::vector<uint8_t> 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], (int) vch.size(), bn);
- return *this;
- }
-
- uint32_t GetCompact() const
- {
- uint32_t nSize = BN_bn2mpi(bn, NULL);
- std::vector<uint8_t> vch(nSize);
- nSize -= 4;
- BN_bn2mpi(bn, &vch[0]);
- uint32_t 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 const 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[(uint8_t)*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.bn, false);
- CBigNum dv;
- CBigNum rem;
- if (BN_cmp(bn.bn, bn0.bn) == 0)
- return "0";
- while (BN_cmp(bn.bn, bn0.bn) > 0)
- {
- if (!BN_div(dv.bn, rem.bn, bn.bn, bnBase.bn, pctx))
- throw bignum_error("CBigNum::ToString() : BN_div failed");
- bn = dv;
- uint32_t c = rem.getuint32();
- str += "0123456789abcdef"[c];
- }
- if (BN_is_negative(bn.bn))
- str += "-";
- reverse(str.begin(), str.end());
- return str;
- }
-
- std::string GetHex() const
- {
- return ToString(16);
- }
-
- BIGNUM* get() const {
- return BN_dup(bn);
- }
+ 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
{
setvch(vch);
}
- /**
- * exponentiation with an int. this^e
- * @param e the exponent as an int
- * @return
- */
- CBigNum pow(const int e) const {
- return this->pow(CBigNum(e));
- }
-
- /**
- * exponentiation this^e
- * @param e the exponent
- * @return
- */
- CBigNum pow(const CBigNum& e) const {
- CAutoBN_CTX pctx;
- CBigNum ret;
- if (!BN_exp(ret.bn, bn, e.bn, pctx))
- throw bignum_error("CBigNum::pow : BN_exp failed");
- return ret;
- }
-
- /**
- * modular multiplication: (this * b) mod m
- * @param b operand
- * @param m modulus
- */
- CBigNum mul_mod(const CBigNum& b, const CBigNum& m) const {
- CAutoBN_CTX pctx;
- CBigNum ret;
- if (!BN_mod_mul(ret.bn, bn, b.bn, m.bn, pctx))
- throw bignum_error("CBigNum::mul_mod : BN_mod_mul failed");
-
- return ret;
- }
-
- /**
- * modular exponentiation: this^e mod n
- * @param e exponent
- * @param m modulus
- */
- CBigNum pow_mod(const CBigNum& e, const CBigNum& m) const {
- CAutoBN_CTX pctx;
- CBigNum ret;
- if( e < 0){
- // g^-x = (g^-1)^x
- CBigNum inv = this->inverse(m);
- CBigNum posE = e * -1;
- if (!BN_mod_exp(ret.bn, inv.bn, posE.bn, m.bn, pctx))
- throw bignum_error("CBigNum::pow_mod: BN_mod_exp failed on negative exponent");
- }else
- if (!BN_mod_exp(ret.bn, bn, e.bn, m.bn, pctx))
- throw bignum_error("CBigNum::pow_mod : BN_mod_exp failed");
-
- return ret;
- }
+ bool operator!() const;
- /**
- * Calculates the inverse of this element mod m.
- * i.e. i such this*i = 1 mod m
- * @param m the modu
- * @return the inverse
- */
- CBigNum inverse(const CBigNum& m) const {
- CAutoBN_CTX pctx;
- CBigNum ret;
- if (!BN_mod_inverse(ret.bn, bn, m.bn, pctx))
- throw bignum_error("CBigNum::inverse*= :BN_mod_inverse");
- return ret;
- }
-
- /**
- * Generates a random (safe) prime of numBits bits
- * @param numBits the number of bits
- * @param safe true for a safe prime
- * @return the prime
- */
- static CBigNum generatePrime(const unsigned int numBits, bool safe = false) {
- CBigNum ret;
- if(!BN_generate_prime_ex(ret.bn, numBits, (safe == true), NULL, NULL, NULL))
- throw bignum_error("CBigNum::generatePrime*= :BN_generate_prime_ex");
- return ret;
- }
-
- /**
- * Calculates the greatest common divisor (GCD) of two numbers.
- * @param m the second element
- * @return the GCD
- */
- CBigNum gcd( const CBigNum& b) const{
- CAutoBN_CTX pctx;
- CBigNum ret;
- if (!BN_gcd(ret.bn, bn, b.bn, pctx))
- throw bignum_error("CBigNum::gcd*= :BN_gcd");
- return ret;
- }
-
- /**
- * Miller-Rabin primality test on this element
- * @param checks: optional, the number of Miller-Rabin tests to run
- * default causes error rate of 2^-80.
- * @return true if prime
- */
- bool isPrime(const int checks=BN_prime_checks) const {
- CAutoBN_CTX pctx;
- int ret = BN_is_prime(bn, checks, NULL, pctx, NULL);
- if(ret < 0){
- throw bignum_error("CBigNum::isPrime :BN_is_prime");
- }
- return ret != 0;
- }
-
- bool isOne() const {
- return BN_is_one(bn);
- }
-
-
- bool operator!() const
- {
- return BN_is_zero(bn);
- }
-
- CBigNum& operator+=(const CBigNum& b)
- {
- if (!BN_add(bn, bn, b.bn))
- 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(bn, bn, b.bn, 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(bn, bn, 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.bn, bn) > 0)
- {
- *this = 0;
- return *this;
- }
-
- if (!BN_rshift(bn, bn, shift))
- throw bignum_error("CBigNum:operator>>= : BN_rshift failed");
- return *this;
- }
-
-
- CBigNum& operator++()
- {
- // prefix operator
- if (!BN_add(bn, bn, 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.bn, bn, 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 bool 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);
};
-
inline const CBigNum operator+(const CBigNum& a, const CBigNum& b)
{
CBigNum r;
inline std::ostream& operator<<(std::ostream &strm, const CBigNum &b) { return strm << b.ToString(10); }
-typedef CBigNum Bignum;
-
#endif
git://git.novaco.in / novacoin.git / blobdiff