256-bit unsigned big integer. More...

#include <arith_uint256.h>

Inheritance diagram for arith_uint256:

Collaboration diagram for arith_uint256:

Public Member Functions
	arith_uint256 ()=default

	arith_uint256 (const base_uint< 256 > &b)

	arith_uint256 (uint64_t b)

arith_uint256 &	SetCompact (uint32_t nCompact, bool pfNegative=nullptr, bool pfOverflow=nullptr)
	The "compact" format is a representation of a whole number N using an unsigned 32bit number similar to a floating point format. More...

uint32_t	GetCompact (bool fNegative=false) const

Public Member Functions inherited from base_uint< 256 >
	base_uint ()

	base_uint (const base_uint &b)

	base_uint (uint64_t b)

base_uint &	operator= (const base_uint &b)

base_uint &	operator= (uint64_t b)

base_uint	operator~ () const

base_uint	operator- () const

double	getdouble () const

base_uint &	operator^= (const base_uint &b)

base_uint &	operator^= (uint64_t b)

base_uint &	operator&= (const base_uint &b)

base_uint &	operator\|= (const base_uint &b)

base_uint &	operator\|= (uint64_t b)

base_uint &	operator<<= (unsigned int shift)

base_uint &	operator>>= (unsigned int shift)

base_uint &	operator+= (const base_uint &b)

base_uint &	operator+= (uint64_t b64)

base_uint &	operator-= (const base_uint &b)

base_uint &	operator-= (uint64_t b64)

base_uint &	operator*= (uint32_t b32)

base_uint &	operator*= (const base_uint &b)

base_uint &	operator/= (const base_uint &b)

base_uint &	operator++ ()

base_uint	operator++ (int)

base_uint &	operator-- ()

base_uint	operator-- (int)

int	CompareTo (const base_uint &b) const
	Numeric ordering (unlike base_blob::Compare) More...

bool	EqualTo (uint64_t b) const

std::string	GetHex () const
	Hex encoding of the number (with the most significant digits first). More...

std::string	ToString () const

unsigned int	size () const

unsigned int	bits () const
	Returns the position of the highest bit set plus one, or zero if the value is zero. More...

uint64_t	GetLow64 () const

Friends
uint256	ArithToUint256 (const arith_uint256 &)

arith_uint256	UintToArith256 (const uint256 &)

Additional Inherited Members
Protected Attributes inherited from base_uint< 256 >
uint32_t	pn [WIDTH]

Static Protected Attributes inherited from base_uint< 256 >
static constexpr int	WIDTH

Detailed Description

256-bit unsigned big integer.

Definition at line 245 of file arith_uint256.h.

Constructor & Destructor Documentation

◆ arith_uint256() [1/3]

arith_uint256::arith_uint256 ( )

default

◆ arith_uint256() [2/3]

arith_uint256::arith_uint256 ( const base_uint< 256 > & b )

inline

Definition at line 248 of file arith_uint256.h.

◆ arith_uint256() [3/3]

arith_uint256::arith_uint256 ( uint64_t b )

inline

Definition at line 249 of file arith_uint256.h.

Member Function Documentation

◆ GetCompact()

uint32_t arith_uint256::GetCompact ( bool fNegative = false ) const

Definition at line 195 of file arith_uint256.cpp.

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◆ SetCompact()

arith_uint256 & arith_uint256::SetCompact	(	uint32_t	nCompact,
		bool *	pfNegative = `nullptr`,
		bool *	pfOverflow = `nullptr`
	)

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)

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.

Definition at line 175 of file arith_uint256.cpp.

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Friends And Related Function Documentation

◆ ArithToUint256

uint256 ArithToUint256 ( const arith_uint256 & )

friend

Definition at line 218 of file arith_uint256.cpp.

◆ UintToArith256

arith_uint256 UintToArith256 ( const uint256 & )