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 Exp(base, exponent *big.Int) *big.Int
- func FirstBitSet(v *big.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 U256(x *big.Int) *big.Int
- func U256Bytes(n *big.Int) []byte
- type Beta
- type BinomialDistribution
- type ContinuedFraction
- type Gamma
- type HexOrDecimal256
- type HexOrDecimal64
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)) MaxBig104 = new(big.Int).Set(tt104m1) )
Various big integer limit values.
var ( DELTA = [...]float64{0.08333333333333333, -2.777777777777778e-5, 7.936507936507937e-8, -5.952380952380953e-10, 8.417508417508329e-12, -1.917526917518546e-13, 6.410256405103255e-15, -2.955065141253382e-16, 1.7964371635940225e-17, -1.3922896466162779e-18, 1.338028550140209e-19, -1.542460098679661e-20, 1.9770199298095743e-21, -2.3406566479399704e-22, 1.713480149663986e-23} LANCZOS = [...]float64{0.9999999999999971, 57.15623566586292, -59.59796035547549, 14.136097974741746, -0.4919138160976202, 3.399464998481189e-5, 4.652362892704858e-5, -9.837447530487956e-5, 1.580887032249125e-4, -2.1026444172410488e-4, 2.1743961811521265e-4, -1.643181065367639e-4, 8.441822398385275e-5, -2.6190838401581408e-5, 3.6899182659531625e-6} HALF_LOG_2_PI = 0.5 * math.Log(6.283185307179586) )
Functions ¶
func 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 Exp ¶
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.
Courtesy @karalabe and @chfast
func FirstBitSet ¶
FirstBitSet returns the index of the first 1 bit in v, counting from LSB.
func MustParseBig256 ¶
MustParseBig256 parses s as a 256 bit big integer and panics if the string is invalid.
func MustParseUint64 ¶
MustParseUint64 parses s as an integer and panics if the string is invalid.
func PaddedBigBytes ¶
PaddedBigBytes encodes a big integer as a big-endian byte slice. The length of the slice is at least n bytes.
func ParseBig256 ¶
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 ¶
ParseUint64 parses s as an integer in decimal or hexadecimal syntax. Leading zeros are accepted. The empty string parses as zero.
func ReadBits ¶
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 ¶
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
Types ¶
type Beta ¶
type Beta struct {
// contains filtered or unexported fields
}
func (*Beta) RegularizedBeta ¶
type BinomialDistribution ¶
type BinomialDistribution struct {
// contains filtered or unexported fields
}
func NewBinomialDistribution ¶
func NewBinomialDistribution(n int64, p float64) *BinomialDistribution
func (*BinomialDistribution) CumulativeProbability ¶
func (bd *BinomialDistribution) CumulativeProbability(x int64) (float64, error)
func (*BinomialDistribution) InverseCumulativeProbability ¶
func (bd *BinomialDistribution) InverseCumulativeProbability(p float64) (int64, error)
type ContinuedFraction ¶
type ContinuedFraction struct {
}
type HexOrDecimal256 ¶
HexOrDecimal256 marshals big.Int as hex or decimal.
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.
Source Files