math

Documentation

Overview

Package math provides integer math utilities.

Index

• Constants
• Variables
• func BigMax(x, y *big.Int) *big.Int
• func BigMin(x, y *big.Int) *big.Int
• func BigPow(a, b int64) *big.Int
• func Byte(bigint *big.Int, padlength, n int) byte
• func EToTheX(x *big.Float) *big.Float
• func Exp(base, exponent *big.Int) *big.Int
• func FirstBitSet(v *big.Int) int
• func Max(x, y int) int
• func Min(x, y int) int
• func MustParseBig256(s string) *big.Int
• func MustParseUint64(s string) uint64
• func PaddedBigBytes(bigint *big.Int, n int) []byte
• func ParseBig256(s string) (*big.Int, bool)
• func ParseUint64(s string) (uint64, bool)
• func ReadBits(bigint *big.Int, buf []byte)
• func S256(x *big.Int) *big.Int
• func SafeAdd(x, y uint64) (uint64, bool)
• func SafeMul(x, y uint64) (uint64, bool)
• func SafeSub(x, y uint64) (uint64, bool)
• func SquaredCubed(x *big.Float) (xSquared, xCubed *big.Float)
• func TwoToTheX(x *big.Float) *big.Float
• func U256(x *big.Int) *big.Int
• func U256Bytes(n *big.Int) []byte
• type Decimal256
  • func NewDecimal256(x int64) *Decimal256
  • func (i *Decimal256) MarshalText() ([]byte, error)
  • func (i *Decimal256) String() string
  • func (i *Decimal256) UnmarshalText(input []byte) error
• type HexOrDecimal256
  • func NewHexOrDecimal256(x int64) *HexOrDecimal256
  • func (i *HexOrDecimal256) MarshalText() ([]byte, error)
  • func (i *HexOrDecimal256) UnmarshalText(input []byte) error
• type HexOrDecimal64
  • func (i HexOrDecimal64) MarshalText() ([]byte, error)
  • func (i *HexOrDecimal64) UnmarshalText(input []byte) error

Constants

const (
	MaxInt8   = 1<<7 - 1
	MinInt8   = -1 << 7
	MaxInt16  = 1<<15 - 1
	MinInt16  = -1 << 15
	MaxInt32  = 1<<31 - 1
	MinInt32  = -1 << 31
	MaxInt64  = 1<<63 - 1
	MinInt64  = -1 << 63
	MaxUint8  = 1<<8 - 1
	MaxUint16 = 1<<16 - 1
	MaxUint32 = 1<<32 - 1
	MaxUint64 = 1<<64 - 1
)

Integer limit values.

Variables

var (
	MaxBig256 = new(big.Int).Set(tt256m1)
	MaxBig63  = new(big.Int).Sub(tt63, big.NewInt(1))
)

Various big integer limit values.

Functions

func BigMax

func BigMax(x, y *big.Int) *big.Int

BigMax returns the larger of x or y.

func BigMin

func BigMin(x, y *big.Int) *big.Int

BigMin returns the smaller of x or y.

func BigPow

func BigPow(a, b int64) *big.Int

BigPow returns a ** b as a big integer.

func Byte

func Byte(bigint *big.Int, padlength, n int) byte

Byte returns the byte at position n, with the supplied padlength in Little-Endian encoding. n==0 returns the MSB Example: bigint '5', padlength 32, n=31 => 5

func EToTheX

func EToTheX(x *big.Float) *big.Float

EToTheX computes the expression 1 + x + (1/2)*x^2 + (1/6)*x^3 + (1/24)*x^4 + (1/120)*x^5 + (1/720)*x^6 + (1/5040)*x^7

func Exp

func Exp(base, exponent *big.Int) *big.Int

Exp implements exponentiation by squaring. Exp returns a newly-allocated big integer and does not change base or exponent. The result is truncated to 256 bits.

func FirstBitSet

func FirstBitSet(v *big.Int) int

FirstBitSet returns the index of the first 1 bit in v, counting from LSB.

func Max

func Max(x, y int) int

Maximum returns the maximum of two integers.

func Min

func Min(x, y int) int

Minimum returns the minimum of two integers.

func MustParseBig256

func MustParseBig256(s string) *big.Int

MustParseBig256 parses s as a 256 bit big integer and panics if the string is invalid.

func MustParseUint64

func MustParseUint64(s string) uint64

MustParseUint64 parses s as an integer and panics if the string is invalid.

func PaddedBigBytes

func PaddedBigBytes(bigint *big.Int, n int) []byte

PaddedBigBytes encodes a big integer as a big-endian byte slice. The length of the slice is at least n bytes.

func ParseBig256

func ParseBig256(s string) (*big.Int, bool)

ParseBig256 parses s as a 256 bit integer in decimal or hexadecimal syntax. Leading zeros are accepted. The empty string parses as zero.

func ParseUint64

func ParseUint64(s string) (uint64, bool)

ParseUint64 parses s as an integer in decimal or hexadecimal syntax. Leading zeros are accepted. The empty string parses as zero.

func ReadBits

func ReadBits(bigint *big.Int, buf []byte)

ReadBits encodes the absolute value of bigint as big-endian bytes. Callers must ensure that buf has enough space. If buf is too short the result will be incomplete.

func S256

func S256(x *big.Int) *big.Int

S256 interprets x as a two's complement number. x must not exceed 256 bits (the result is undefined if it does) and is not modified.

S256(0)        = 0
S256(1)        = 1
S256(2**255)   = -2**255
S256(2**256-1) = -1

func SafeAdd

func SafeAdd(x, y uint64) (uint64, bool)

SafeAdd returns x+y and checks for overflow.

func SafeMul

func SafeMul(x, y uint64) (uint64, bool)

SafeMul returns x*y and checks for overflow.

func SafeSub

func SafeSub(x, y uint64) (uint64, bool)

SafeSub returns x-y and checks for overflow.

func SquaredCubed

func SquaredCubed(x *big.Float) (xSquared, xCubed *big.Float)

func TwoToTheX

func TwoToTheX(x *big.Float) *big.Float

TwoToTheX computes the expression 1 + 0.6931*x + 0.24022*x^2 + 0.055*x^3

func U256

func U256(x *big.Int) *big.Int

U256 encodes as a 256 bit two's complement number. This operation is destructive.

func U256Bytes

func U256Bytes(n *big.Int) []byte

U256Bytes converts a big Int into a 256bit EVM number. This operation is destructive.

Types

type Decimal256

type Decimal256 big.Int

Decimal256 unmarshals big.Int as a decimal string. When unmarshalling, it however accepts either "0x"-prefixed (hex encoded) or non-prefixed (decimal)

func NewDecimal256

func NewDecimal256(x int64) *Decimal256

NewHexOrDecimal256 creates a new Decimal256

func (*Decimal256) MarshalText

func (i *Decimal256) MarshalText() ([]byte, error)

MarshalText implements encoding.TextMarshaler.

func (*Decimal256) String

func (i *Decimal256) String() string

String implements Stringer.

func (*Decimal256) UnmarshalText

func (i *Decimal256) UnmarshalText(input []byte) error

UnmarshalText implements encoding.TextUnmarshaler.

type HexOrDecimal256

type HexOrDecimal256 big.Int

HexOrDecimal256 marshals big.Int as hex or decimal.

func NewHexOrDecimal256

func NewHexOrDecimal256(x int64) *HexOrDecimal256

NewHexOrDecimal256 creates a new HexOrDecimal256

func (*HexOrDecimal256) MarshalText

func (i *HexOrDecimal256) MarshalText() ([]byte, error)

MarshalText implements encoding.TextMarshaler.

func (*HexOrDecimal256) UnmarshalText

func (i *HexOrDecimal256) UnmarshalText(input []byte) error

UnmarshalText implements encoding.TextUnmarshaler.

type HexOrDecimal64

type HexOrDecimal64 uint64

HexOrDecimal64 marshals uint64 as hex or decimal.

func (HexOrDecimal64) MarshalText

func (i HexOrDecimal64) MarshalText() ([]byte, error)

MarshalText implements encoding.TextMarshaler.

func (*HexOrDecimal64) UnmarshalText

func (i *HexOrDecimal64) UnmarshalText(input []byte) error

UnmarshalText implements encoding.TextUnmarshaler.