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-rw-r--r--src/uint256.h528
1 files changed, 224 insertions, 304 deletions
diff --git a/src/uint256.h b/src/uint256.h
index ba903bc8fc..1acedd14bf 100644
--- a/src/uint256.h
+++ b/src/uint256.h
@@ -1,11 +1,13 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2013 The Bitcoin developers
+// Copyright (c) 2009-2014 The Bitcoin developers
// Distributed under the MIT/X11 software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_UINT256_H
#define BITCOIN_UINT256_H
+#include <assert.h>
+#include <stdexcept>
#include <stdint.h>
#include <stdio.h>
#include <string>
@@ -19,17 +21,59 @@ inline signed char HexDigit(char c)
return p_util_hexdigit[(unsigned char)c];
}
-/** Base class without constructors for uint256 and uint160.
- * This makes the compiler let you use it in a union.
- */
+class uint_error : public std::runtime_error {
+public:
+ explicit uint_error(const std::string& str) : std::runtime_error(str) {}
+};
+
+/** Template base class for unsigned big integers. */
template<unsigned int BITS>
class base_uint
{
-protected:
+private:
enum { WIDTH=BITS/32 };
uint32_t pn[WIDTH];
public:
+ base_uint()
+ {
+ for (int i = 0; i < WIDTH; i++)
+ pn[i] = 0;
+ }
+
+ base_uint(const base_uint& b)
+ {
+ for (int i = 0; i < WIDTH; i++)
+ pn[i] = b.pn[i];
+ }
+
+ base_uint& operator=(const base_uint& b)
+ {
+ for (int i = 0; i < WIDTH; i++)
+ pn[i] = b.pn[i];
+ return *this;
+ }
+
+ base_uint(uint64_t b)
+ {
+ pn[0] = (unsigned int)b;
+ pn[1] = (unsigned int)(b >> 32);
+ for (int i = 2; i < WIDTH; i++)
+ pn[i] = 0;
+ }
+
+ explicit base_uint(const std::string& str)
+ {
+ SetHex(str);
+ }
+
+ explicit base_uint(const std::vector<unsigned char>& vch)
+ {
+ if (vch.size() != sizeof(pn))
+ throw uint_error("Converting vector of wrong size to base_uint");
+ memcpy(pn, &vch[0], sizeof(pn));
+ }
+
bool operator!() const
{
for (int i = 0; i < WIDTH; i++)
@@ -178,6 +222,57 @@ public:
return *this;
}
+ base_uint& operator*=(uint32_t b32)
+ {
+ uint64_t carry = 0;
+ for (int i = 0; i < WIDTH; i++)
+ {
+ uint64_t n = carry + (uint64_t)b32 * pn[i];
+ pn[i] = n & 0xffffffff;
+ carry = n >> 32;
+ }
+ return *this;
+ }
+
+ base_uint& operator*=(const base_uint& b)
+ {
+ base_uint a = *this;
+ *this = 0;
+ for (int j = 0; j < WIDTH; j++) {
+ uint64_t carry = 0;
+ for (int i = 0; i + j < WIDTH; i++) {
+ uint64_t n = carry + pn[i + j] + (uint64_t)a.pn[j] * b.pn[i];
+ pn[i + j] = n & 0xffffffff;
+ carry = n >> 32;
+ }
+ }
+ return *this;
+ }
+
+ base_uint& operator/=(const base_uint& b)
+ {
+ base_uint div = b; // make a copy, so we can shift.
+ base_uint num = *this; // make a copy, so we can subtract.
+ *this = 0; // the quotient.
+ int num_bits = num.bits();
+ int div_bits = div.bits();
+ if (div_bits == 0)
+ throw uint_error("Division by zero");
+ if (div_bits > num_bits) // the result is certainly 0.
+ return *this;
+ int shift = num_bits - div_bits;
+ div <<= shift; // shift so that div and nun align.
+ while (shift >= 0) {
+ if (num >= div) {
+ num -= div;
+ pn[shift / 32] |= (1 << (shift & 31)); // set a bit of the result.
+ }
+ div >>= 1; // shift back.
+ shift--;
+ }
+ // num now contains the remainder of the division.
+ return *this;
+ }
base_uint& operator++()
{
@@ -213,86 +308,46 @@ public:
return ret;
}
-
- friend inline bool operator<(const base_uint& a, const base_uint& b)
- {
- for (int i = base_uint::WIDTH-1; i >= 0; i--)
- {
- if (a.pn[i] < b.pn[i])
- return true;
- else if (a.pn[i] > b.pn[i])
- return false;
- }
- return false;
- }
-
- friend inline bool operator<=(const base_uint& a, const base_uint& b)
- {
- for (int i = base_uint::WIDTH-1; i >= 0; i--)
- {
- if (a.pn[i] < b.pn[i])
- return true;
- else if (a.pn[i] > b.pn[i])
- return false;
+ int CompareTo(const base_uint& b) const {
+ for (int i = base_uint::WIDTH-1; i >= 0; i--) {
+ if (pn[i] < b.pn[i])
+ return -1;
+ if (pn[i] > b.pn[i])
+ return 1;
}
- return true;
+ return 0;
}
- friend inline bool operator>(const base_uint& a, const base_uint& b)
- {
- for (int i = base_uint::WIDTH-1; i >= 0; i--)
- {
- if (a.pn[i] > b.pn[i])
- return true;
- else if (a.pn[i] < b.pn[i])
+ bool EqualTo(uint64_t b) const {
+ for (int i = base_uint::WIDTH-1; i >= 2; i--) {
+ if (pn[i])
return false;
}
- return false;
- }
-
- friend inline bool operator>=(const base_uint& a, const base_uint& b)
- {
- for (int i = base_uint::WIDTH-1; i >= 0; i--)
- {
- if (a.pn[i] > b.pn[i])
- return true;
- else if (a.pn[i] < b.pn[i])
- return false;
- }
- return true;
- }
-
- friend inline bool operator==(const base_uint& a, const base_uint& b)
- {
- for (int i = 0; i < base_uint::WIDTH; i++)
- if (a.pn[i] != b.pn[i])
- return false;
- return true;
- }
-
- friend inline bool operator==(const base_uint& a, uint64_t b)
- {
- if (a.pn[0] != (unsigned int)b)
+ if (pn[1] != (b >> 32))
return false;
- if (a.pn[1] != (unsigned int)(b >> 32))
+ if (pn[0] != (b & 0xfffffffful))
return false;
- for (int i = 2; i < base_uint::WIDTH; i++)
- if (a.pn[i] != 0)
- return false;
return true;
}
- friend inline bool operator!=(const base_uint& a, const base_uint& b)
- {
- return (!(a == b));
- }
-
- friend inline bool operator!=(const base_uint& a, uint64_t b)
- {
- return (!(a == b));
- }
-
-
+ friend inline const base_uint operator+(const base_uint& a, const base_uint& b) { return base_uint(a) += b; }
+ friend inline const base_uint operator-(const base_uint& a, const base_uint& b) { return base_uint(a) -= b; }
+ friend inline const base_uint operator*(const base_uint& a, const base_uint& b) { return base_uint(a) *= b; }
+ friend inline const base_uint operator/(const base_uint& a, const base_uint& b) { return base_uint(a) /= b; }
+ friend inline const base_uint operator|(const base_uint& a, const base_uint& b) { return base_uint(a) |= b; }
+ friend inline const base_uint operator&(const base_uint& a, const base_uint& b) { return base_uint(a) &= b; }
+ friend inline const base_uint operator^(const base_uint& a, const base_uint& b) { return base_uint(a) ^= b; }
+ friend inline const base_uint operator>>(const base_uint& a, int shift) { return base_uint(a) >>= shift; }
+ friend inline const base_uint operator<<(const base_uint& a, int shift) { return base_uint(a) <<= shift; }
+ friend inline const base_uint operator*(const base_uint& a, uint32_t b) { return base_uint(a) *= b; }
+ friend inline bool operator==(const base_uint& a, const base_uint& b) { return a.CompareTo(b) == 0; }
+ friend inline bool operator!=(const base_uint& a, const base_uint& b) { return a.CompareTo(b) != 0; }
+ friend inline bool operator>(const base_uint& a, const base_uint& b) { return a.CompareTo(b) > 0; }
+ friend inline bool operator<(const base_uint& a, const base_uint& b) { return a.CompareTo(b) < 0; }
+ friend inline bool operator>=(const base_uint& a, const base_uint& b) { return a.CompareTo(b) >= 0; }
+ friend inline bool operator<=(const base_uint& a, const base_uint& b) { return a.CompareTo(b) <= 0; }
+ friend inline bool operator==(const base_uint& a, uint64_t b) { return a.EqualTo(b); }
+ friend inline bool operator!=(const base_uint& a, uint64_t b) { return !a.EqualTo(b); }
std::string GetHex() const
{
@@ -367,269 +422,134 @@ public:
return sizeof(pn);
}
+ // Returns the position of the highest bit set plus one, or zero if the
+ // value is zero.
+ unsigned int bits() const
+ {
+ for (int pos = WIDTH-1; pos >= 0; pos--) {
+ if (pn[pos]) {
+ for (int bits = 31; bits > 0; bits--) {
+ if (pn[pos] & 1<<bits)
+ return 32*pos + bits + 1;
+ }
+ return 32*pos + 1;
+ }
+ }
+ return 0;
+ }
+
uint64_t GetLow64() const
{
assert(WIDTH >= 2);
return pn[0] | (uint64_t)pn[1] << 32;
}
-// unsigned int GetSerializeSize(int nType=0, int nVersion=PROTOCOL_VERSION) const
unsigned int GetSerializeSize(int nType, int nVersion) const
{
return sizeof(pn);
}
template<typename Stream>
-// void Serialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION) const
void Serialize(Stream& s, int nType, int nVersion) const
{
s.write((char*)pn, sizeof(pn));
}
template<typename Stream>
-// void Unserialize(Stream& s, int nType=0, int nVersion=PROTOCOL_VERSION)
void Unserialize(Stream& s, int nType, int nVersion)
{
s.read((char*)pn, sizeof(pn));
}
-
-
- friend class uint160;
- friend class uint256;
};
-typedef base_uint<160> base_uint160;
-typedef base_uint<256> base_uint256;
-
-
-
-//
-// uint160 and uint256 could be implemented as templates, but to keep
-// compile errors and debugging cleaner, they're copy and pasted.
-//
-
-
-
-//////////////////////////////////////////////////////////////////////////////
-//
-// uint160
-//
-
-/** 160-bit unsigned integer */
-class uint160 : public base_uint160
-{
+/** 160-bit unsigned big integer. */
+class uint160 : public base_uint<160> {
public:
- typedef base_uint160 basetype;
-
- uint160()
- {
- for (int i = 0; i < WIDTH; i++)
- pn[i] = 0;
- }
-
- uint160(const basetype& b)
- {
- for (int i = 0; i < WIDTH; i++)
- pn[i] = b.pn[i];
- }
-
- uint160& operator=(const basetype& b)
- {
- for (int i = 0; i < WIDTH; i++)
- pn[i] = b.pn[i];
- return *this;
- }
-
- uint160(uint64_t b)
- {
- pn[0] = (unsigned int)b;
- pn[1] = (unsigned int)(b >> 32);
- for (int i = 2; i < WIDTH; i++)
- pn[i] = 0;
- }
-
- uint160& operator=(uint64_t b)
- {
- pn[0] = (unsigned int)b;
- pn[1] = (unsigned int)(b >> 32);
- for (int i = 2; i < WIDTH; i++)
- pn[i] = 0;
- return *this;
- }
-
- explicit uint160(const std::string& str)
- {
- SetHex(str);
- }
-
- explicit uint160(const std::vector<unsigned char>& vch)
- {
- if (vch.size() == sizeof(pn))
- memcpy(pn, &vch[0], sizeof(pn));
- else
- *this = 0;
- }
+ uint160() {}
+ uint160(const base_uint<160>& b) : base_uint<160>(b) {}
+ uint160(uint64_t b) : base_uint<160>(b) {}
+ explicit uint160(const std::string& str) : base_uint<160>(str) {}
+ explicit uint160(const std::vector<unsigned char>& vch) : base_uint<160>(vch) {}
};
-inline bool operator==(const uint160& a, uint64_t b) { return (base_uint160)a == b; }
-inline bool operator!=(const uint160& a, uint64_t b) { return (base_uint160)a != b; }
-inline const uint160 operator<<(const base_uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
-inline const uint160 operator>>(const base_uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
-inline const uint160 operator<<(const uint160& a, unsigned int shift) { return uint160(a) <<= shift; }
-inline const uint160 operator>>(const uint160& a, unsigned int shift) { return uint160(a) >>= shift; }
-
-inline const uint160 operator^(const base_uint160& a, const base_uint160& b) { return uint160(a) ^= b; }
-inline const uint160 operator&(const base_uint160& a, const base_uint160& b) { return uint160(a) &= b; }
-inline const uint160 operator|(const base_uint160& a, const base_uint160& b) { return uint160(a) |= b; }
-inline const uint160 operator+(const base_uint160& a, const base_uint160& b) { return uint160(a) += b; }
-inline const uint160 operator-(const base_uint160& a, const base_uint160& b) { return uint160(a) -= b; }
-
-inline bool operator<(const base_uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
-inline bool operator<=(const base_uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
-inline bool operator>(const base_uint160& a, const uint160& b) { return (base_uint160)a > (base_uint160)b; }
-inline bool operator>=(const base_uint160& a, const uint160& b) { return (base_uint160)a >= (base_uint160)b; }
-inline bool operator==(const base_uint160& a, const uint160& b) { return (base_uint160)a == (base_uint160)b; }
-inline bool operator!=(const base_uint160& a, const uint160& b) { return (base_uint160)a != (base_uint160)b; }
-inline const uint160 operator^(const base_uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
-inline const uint160 operator&(const base_uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
-inline const uint160 operator|(const base_uint160& a, const uint160& b) { return (base_uint160)a | (base_uint160)b; }
-inline const uint160 operator+(const base_uint160& a, const uint160& b) { return (base_uint160)a + (base_uint160)b; }
-inline const uint160 operator-(const base_uint160& a, const uint160& b) { return (base_uint160)a - (base_uint160)b; }
-
-inline bool operator<(const uint160& a, const base_uint160& b) { return (base_uint160)a < (base_uint160)b; }
-inline bool operator<=(const uint160& a, const base_uint160& b) { return (base_uint160)a <= (base_uint160)b; }
-inline bool operator>(const uint160& a, const base_uint160& b) { return (base_uint160)a > (base_uint160)b; }
-inline bool operator>=(const uint160& a, const base_uint160& b) { return (base_uint160)a >= (base_uint160)b; }
-inline bool operator==(const uint160& a, const base_uint160& b) { return (base_uint160)a == (base_uint160)b; }
-inline bool operator!=(const uint160& a, const base_uint160& b) { return (base_uint160)a != (base_uint160)b; }
-inline const uint160 operator^(const uint160& a, const base_uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
-inline const uint160 operator&(const uint160& a, const base_uint160& b) { return (base_uint160)a & (base_uint160)b; }
-inline const uint160 operator|(const uint160& a, const base_uint160& b) { return (base_uint160)a | (base_uint160)b; }
-inline const uint160 operator+(const uint160& a, const base_uint160& b) { return (base_uint160)a + (base_uint160)b; }
-inline const uint160 operator-(const uint160& a, const base_uint160& b) { return (base_uint160)a - (base_uint160)b; }
-
-inline bool operator<(const uint160& a, const uint160& b) { return (base_uint160)a < (base_uint160)b; }
-inline bool operator<=(const uint160& a, const uint160& b) { return (base_uint160)a <= (base_uint160)b; }
-inline bool operator>(const uint160& a, const uint160& b) { return (base_uint160)a > (base_uint160)b; }
-inline bool operator>=(const uint160& a, const uint160& b) { return (base_uint160)a >= (base_uint160)b; }
-inline bool operator==(const uint160& a, const uint160& b) { return (base_uint160)a == (base_uint160)b; }
-inline bool operator!=(const uint160& a, const uint160& b) { return (base_uint160)a != (base_uint160)b; }
-inline const uint160 operator^(const uint160& a, const uint160& b) { return (base_uint160)a ^ (base_uint160)b; }
-inline const uint160 operator&(const uint160& a, const uint160& b) { return (base_uint160)a & (base_uint160)b; }
-inline const uint160 operator|(const uint160& a, const uint160& b) { return (base_uint160)a | (base_uint160)b; }
-inline const uint160 operator+(const uint160& a, const uint160& b) { return (base_uint160)a + (base_uint160)b; }
-inline const uint160 operator-(const uint160& a, const uint160& b) { return (base_uint160)a - (base_uint160)b; }
-
-
-
-//////////////////////////////////////////////////////////////////////////////
-//
-// uint256
-//
-
-/** 256-bit unsigned integer */
-class uint256 : public base_uint256
-{
+/** 256-bit unsigned big integer. */
+class uint256 : public base_uint<256> {
public:
- typedef base_uint256 basetype;
-
- uint256()
- {
- for (int i = 0; i < WIDTH; i++)
- pn[i] = 0;
- }
-
- uint256(const basetype& b)
- {
- for (int i = 0; i < WIDTH; i++)
- pn[i] = b.pn[i];
- }
-
- uint256& operator=(const basetype& b)
- {
- for (int i = 0; i < WIDTH; i++)
- pn[i] = b.pn[i];
- return *this;
- }
-
- uint256(uint64_t b)
- {
- pn[0] = (unsigned int)b;
- pn[1] = (unsigned int)(b >> 32);
- for (int i = 2; i < WIDTH; i++)
- pn[i] = 0;
- }
-
- uint256& operator=(uint64_t b)
- {
- pn[0] = (unsigned int)b;
- pn[1] = (unsigned int)(b >> 32);
- for (int i = 2; i < WIDTH; i++)
- pn[i] = 0;
+ uint256() {}
+ uint256(const base_uint<256>& b) : base_uint<256>(b) {}
+ uint256(uint64_t b) : base_uint<256>(b) {}
+ explicit uint256(const std::string& str) : base_uint<256>(str) {}
+ explicit uint256(const std::vector<unsigned char>& vch) : base_uint<256>(vch) {}
+
+ // The "compact" format is a representation of a whole
+ // number N using an unsigned 32bit number similar to a
+ // floating point format.
+ // The most significant 8 bits are the unsigned exponent of base 256.
+ // This exponent can be thought of as "number of bytes of N".
+ // The lower 23 bits are the mantissa.
+ // Bit number 24 (0x800000) represents the sign of N.
+ // N = (-1^sign) * mantissa * 256^(exponent-3)
+ //
+ // Satoshi's original implementation used BN_bn2mpi() and BN_mpi2bn().
+ // MPI uses the most significant bit of the first byte as sign.
+ // Thus 0x1234560000 is compact (0x05123456)
+ // and 0xc0de000000 is compact (0x0600c0de)
+ // (0x05c0de00) would be -0x40de000000
+ //
+ // Bitcoin only uses this "compact" format for encoding difficulty
+ // targets, which are unsigned 256bit quantities. Thus, all the
+ // complexities of the sign bit and using base 256 are probably an
+ // implementation accident.
+ //
+ // This implementation directly uses shifts instead of going
+ // through an intermediate MPI representation.
+ uint256& SetCompact(uint32_t nCompact, bool *pfNegative = NULL, bool *pfOverflow = NULL)
+ {
+ int nSize = nCompact >> 24;
+ uint32_t nWord = nCompact & 0x007fffff;
+ if (nSize <= 3)
+ {
+ nWord >>= 8*(3-nSize);
+ *this = nWord;
+ }
+ else
+ {
+ *this = nWord;
+ *this <<= 8*(nSize-3);
+ }
+ if (pfNegative)
+ *pfNegative = nWord != 0 && (nCompact & 0x00800000) != 0;
+ if (pfOverflow)
+ *pfOverflow = nWord != 0 && ((nSize > 34) ||
+ (nWord > 0xff && nSize > 33) ||
+ (nWord > 0xffff && nSize > 32));
return *this;
}
- explicit uint256(const std::string& str)
- {
- SetHex(str);
- }
-
- explicit uint256(const std::vector<unsigned char>& vch)
+ uint32_t GetCompact(bool fNegative = false) const
{
- if (vch.size() == sizeof(pn))
- memcpy(pn, &vch[0], sizeof(pn));
+ int nSize = (bits() + 7) / 8;
+ uint32_t nCompact = 0;
+ if (nSize <= 3)
+ nCompact = GetLow64() << 8*(3-nSize);
else
- *this = 0;
+ {
+ uint256 bn = *this >> 8*(nSize-3);
+ nCompact = bn.GetLow64();
+ }
+ // The 0x00800000 bit denotes the sign.
+ // Thus, if it is already set, divide the mantissa by 256 and increase the exponent.
+ if (nCompact & 0x00800000)
+ {
+ nCompact >>= 8;
+ nSize++;
+ }
+ assert((nCompact & ~0x007fffff) == 0);
+ assert(nSize < 256);
+ nCompact |= nSize << 24;
+ nCompact |= (fNegative && (nCompact & 0x007fffff) ? 0x00800000 : 0);
+ return nCompact;
}
};
-inline bool operator==(const uint256& a, uint64_t b) { return (base_uint256)a == b; }
-inline bool operator!=(const uint256& a, uint64_t b) { return (base_uint256)a != b; }
-inline const uint256 operator<<(const base_uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
-inline const uint256 operator>>(const base_uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
-inline const uint256 operator<<(const uint256& a, unsigned int shift) { return uint256(a) <<= shift; }
-inline const uint256 operator>>(const uint256& a, unsigned int shift) { return uint256(a) >>= shift; }
-
-inline const uint256 operator^(const base_uint256& a, const base_uint256& b) { return uint256(a) ^= b; }
-inline const uint256 operator&(const base_uint256& a, const base_uint256& b) { return uint256(a) &= b; }
-inline const uint256 operator|(const base_uint256& a, const base_uint256& b) { return uint256(a) |= b; }
-inline const uint256 operator+(const base_uint256& a, const base_uint256& b) { return uint256(a) += b; }
-inline const uint256 operator-(const base_uint256& a, const base_uint256& b) { return uint256(a) -= b; }
-
-inline bool operator<(const base_uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
-inline bool operator<=(const base_uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
-inline bool operator>(const base_uint256& a, const uint256& b) { return (base_uint256)a > (base_uint256)b; }
-inline bool operator>=(const base_uint256& a, const uint256& b) { return (base_uint256)a >= (base_uint256)b; }
-inline bool operator==(const base_uint256& a, const uint256& b) { return (base_uint256)a == (base_uint256)b; }
-inline bool operator!=(const base_uint256& a, const uint256& b) { return (base_uint256)a != (base_uint256)b; }
-inline const uint256 operator^(const base_uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
-inline const uint256 operator&(const base_uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
-inline const uint256 operator|(const base_uint256& a, const uint256& b) { return (base_uint256)a | (base_uint256)b; }
-inline const uint256 operator+(const base_uint256& a, const uint256& b) { return (base_uint256)a + (base_uint256)b; }
-inline const uint256 operator-(const base_uint256& a, const uint256& b) { return (base_uint256)a - (base_uint256)b; }
-
-inline bool operator<(const uint256& a, const base_uint256& b) { return (base_uint256)a < (base_uint256)b; }
-inline bool operator<=(const uint256& a, const base_uint256& b) { return (base_uint256)a <= (base_uint256)b; }
-inline bool operator>(const uint256& a, const base_uint256& b) { return (base_uint256)a > (base_uint256)b; }
-inline bool operator>=(const uint256& a, const base_uint256& b) { return (base_uint256)a >= (base_uint256)b; }
-inline bool operator==(const uint256& a, const base_uint256& b) { return (base_uint256)a == (base_uint256)b; }
-inline bool operator!=(const uint256& a, const base_uint256& b) { return (base_uint256)a != (base_uint256)b; }
-inline const uint256 operator^(const uint256& a, const base_uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
-inline const uint256 operator&(const uint256& a, const base_uint256& b) { return (base_uint256)a & (base_uint256)b; }
-inline const uint256 operator|(const uint256& a, const base_uint256& b) { return (base_uint256)a | (base_uint256)b; }
-inline const uint256 operator+(const uint256& a, const base_uint256& b) { return (base_uint256)a + (base_uint256)b; }
-inline const uint256 operator-(const uint256& a, const base_uint256& b) { return (base_uint256)a - (base_uint256)b; }
-
-inline bool operator<(const uint256& a, const uint256& b) { return (base_uint256)a < (base_uint256)b; }
-inline bool operator<=(const uint256& a, const uint256& b) { return (base_uint256)a <= (base_uint256)b; }
-inline bool operator>(const uint256& a, const uint256& b) { return (base_uint256)a > (base_uint256)b; }
-inline bool operator>=(const uint256& a, const uint256& b) { return (base_uint256)a >= (base_uint256)b; }
-inline bool operator==(const uint256& a, const uint256& b) { return (base_uint256)a == (base_uint256)b; }
-inline bool operator!=(const uint256& a, const uint256& b) { return (base_uint256)a != (base_uint256)b; }
-inline const uint256 operator^(const uint256& a, const uint256& b) { return (base_uint256)a ^ (base_uint256)b; }
-inline const uint256 operator&(const uint256& a, const uint256& b) { return (base_uint256)a & (base_uint256)b; }
-inline const uint256 operator|(const uint256& a, const uint256& b) { return (base_uint256)a | (base_uint256)b; }
-inline const uint256 operator+(const uint256& a, const uint256& b) { return (base_uint256)a + (base_uint256)b; }
-inline const uint256 operator-(const uint256& a, const uint256& b) { return (base_uint256)a - (base_uint256)b; }
-
#endif