math

package
v0.5.1-0...-974247a Latest Latest
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 Go to latest Published: Aug 22, 2022 License: Apache-2.0 Imports: 4 Imported by: 0

Documentation

Overview

Package math contains some human-readable mathematical primitives.

Index

Constants

View Source 
const (
	// Uint128Size defines the byte size of an Uint128
	Uint128Size = 16
	// Uint128BitSize defines the bit size of an Uint128
	Uint128BitSize = 16 * 8
)

Variables

This section is empty.

Functions

This section is empty.

Types

type Uint128 

type Uint128 struct {
	Lo, Hi uint64
}

Uint128 is an unsigned 128-bit number.

func MaxUint128 

func MaxUint128() Uint128

MaxUint128 returns the max value of an Uint128

func NewUint128 

func NewUint128(lo, hi uint64) Uint128

NewUint128 returns the Uint128 value (lo,hi).

func NewUint128FromUint64 

func NewUint128FromUint64(u uint64) Uint128

NewUint128FromUint64 returns an Uint128 from an uint64

func ZeroUint128 

func ZeroUint128() Uint128

ZeroUint128 returns the zero value of an Uint128

func (Uint128) Add 

func (u Uint128) Add(v Uint128) Uint128

Add returns u+v panicking on overflow.

func (Uint128) Add64 

func (u Uint128) Add64(v uint64) Uint128

Add64 returns u+v panicking on overflow.

func (Uint128) AddWrap 

func (u Uint128) AddWrap(v Uint128) Uint128

AddWrap returns u+v with wraparound semantics; for example, Max.AddWrap(From64(1)) == Zero.

func (Uint128) AddWrap64 

func (u Uint128) AddWrap64(v uint64) Uint128

AddWrap64 returns u+v with wraparound semantics; for example, Max.AddWrap64(1) == Zero.

func (Uint128) And 

func (u Uint128) And(v Uint128) Uint128

And returns u&v.

func (Uint128) And64 

func (u Uint128) And64(v uint64) Uint128

And64 returns u&v.

func (Uint128) Cmp 

func (u Uint128) Cmp(v Uint128) int

Cmp compares u and v and returns: 

-1 if u <  v
 0 if u == v
+1 if u >  v

func (Uint128) Cmp64 

func (u Uint128) Cmp64(v uint64) int

Cmp64 compares u and v and returns: 

-1 if u <  v
 0 if u == v
+1 if u >  v

func (Uint128) Div 

func (u Uint128) Div(v Uint128) Uint128

Div returns u/v. Panics if v is invalid.

func (Uint128) Div64 

func (u Uint128) Div64(v uint64) Uint128

Div64 returns u/v. Panics if v is invalid.

func (Uint128) Equals 

func (u Uint128) Equals(v Uint128) bool

Equals returns true if u == v.

Uint128 values can be compared directly with ==, but use of the Equals method is preferred for consistency.

func (Uint128) Equals64 

func (u Uint128) Equals64(v uint64) bool

Equals64 returns true if u == v.

func (*Uint128) From64 

func (u *Uint128) From64(v uint64)

From64 converts v to a Uint128 value.

func (*Uint128) FromBEBytes 

func (u *Uint128) FromBEBytes(b []byte) error

FromBEBytes populates the Uin128 value given bytes in big endian order.

func (*Uint128) FromLEBytes 

func (u *Uint128) FromLEBytes(b []byte) error

FromLEBytes populates the Uint128 value given bytes in little endian order.

func (*Uint128) FromString 

func (u *Uint128) FromString(s string) error

FromString populates the Uint128 with a base0 string.

func (Uint128) GT 

func (u Uint128) GT(v Uint128) bool

GT checks if u is greater than v.

func (Uint128) GTE 

func (u Uint128) GTE(v Uint128) bool

GTE checks if u is greater than or equals to v.

func (Uint128) IsZero 

func (u Uint128) IsZero() bool

IsZero returns true if u == 0.

func (Uint128) LT 

func (u Uint128) LT(v Uint128) bool

LT checks if u is less than v.

func (Uint128) LTE 

func (u Uint128) LTE(v Uint128) bool

LTE checks if u is less than or equals to v.

func (Uint128) LeadingZeros 

func (u Uint128) LeadingZeros() int

LeadingZeros returns the number of leading zero bits in u; the result is 128 for u == 0.

func (Uint128) Len 

func (u Uint128) Len() int

Len returns the minimum number of bits required to represent u; the result is 0 for u == 0.

func (Uint128) Lsh 

func (u Uint128) Lsh(n uint) (s Uint128)

Lsh returns u<<n.

func (Uint128) MarshalJSON 

func (u Uint128) MarshalJSON() (b []byte, err error)

MarshalJSON implements json.Marshaler and returns Uint128.String converted to bytes.

func (Uint128) Mod 

func (u Uint128) Mod(v Uint128) (r Uint128)

Mod returns r = u%v, panicking on invalid values of v.

func (Uint128) Mod64 

func (u Uint128) Mod64(v uint64) (r uint64)

Mod64 returns r = u%v, panicking on invalid values of v.

func (Uint128) Mul 

func (u Uint128) Mul(v Uint128) Uint128

Mul returns u*v, panicking on overflow.

func (Uint128) Mul64 

func (u Uint128) Mul64(v uint64) Uint128

Mul64 returns u*v, panicking on overflow.

func (Uint128) MulWrap 

func (u Uint128) MulWrap(v Uint128) Uint128

MulWrap returns u*v with wraparound semantics; for example, Max.MulWrap(Max) == 1.

func (Uint128) MulWrap64 

func (u Uint128) MulWrap64(v uint64) Uint128

MulWrap64 returns u*v with wraparound semantics; for example, Max.MulWrap64(2) == Max.Sub64(1).

func (Uint128) OnesCount 

func (u Uint128) OnesCount() int

OnesCount returns the number of one bits ("population count") in u.

func (Uint128) Or 

func (u Uint128) Or(v Uint128) Uint128

Or returns u|v.

func (Uint128) Or64 

func (u Uint128) Or64(v uint64) Uint128

Or64 returns u|v.

func (*Uint128) PutBEBytes 

func (u *Uint128) PutBEBytes(b []byte)

PutBEBytes stores u in b in big-endian order. It panics if len(b) < 16.

func (Uint128) PutLEBytes 

func (u Uint128) PutLEBytes(b []byte)

PutLEBytes stores u in b in little-endian order. It panics if len(b) < 16.

func (Uint128) QuoRem 

func (u Uint128) QuoRem(v Uint128) (q, r Uint128)

QuoRem returns q = u/v and r = u%v, panicking on division by zero.

func (Uint128) QuoRem64 

func (u Uint128) QuoRem64(v uint64) (Uint128, uint64)

QuoRem64 returns q = u/v and r = u%v, panicking on division by zero or quotient overflow.

func (Uint128) Reverse 

func (u Uint128) Reverse() Uint128

Reverse returns the value of u with its bits in reversed order.

func (Uint128) ReverseBytes 

func (u Uint128) ReverseBytes() Uint128

ReverseBytes returns the value of u with its bytes in reversed order.

func (Uint128) RotateLeft 

func (u Uint128) RotateLeft(k int) Uint128

RotateLeft returns the value of u rotated left by (k mod 128) bits.

func (Uint128) RotateRight 

func (u Uint128) RotateRight(k int) Uint128

RotateRight returns the value of u rotated left by (k mod 128) bits.

func (Uint128) Rsh 

func (u Uint128) Rsh(n uint) (s Uint128)

Rsh returns u>>n.

func (Uint128) SafeAdd 

func (u Uint128) SafeAdd(v Uint128) (Uint128, error)

SafeAdd returns u+v or an error on overflow.

func (Uint128) SafeAdd64 

func (u Uint128) SafeAdd64(v uint64) (Uint128, error)

SafeAdd64 returns u+v or an error on overflow.

func (Uint128) SafeDiv 

func (u Uint128) SafeDiv(v Uint128) (q Uint128, err error)

SafeDiv returns u/v or an error if v is invalid.

func (Uint128) SafeDiv64 

func (u Uint128) SafeDiv64(v uint64) (q Uint128, err error)

SafeDiv64 returns u/v or an error if v is invalid.

func (Uint128) SafeMod 

func (u Uint128) SafeMod(v Uint128) (r Uint128, err error)

SafeMod returns r = u%v, returning errors on invalid v.

func (Uint128) SafeMod64 

func (u Uint128) SafeMod64(v uint64) (r uint64, err error)

SafeMod64 returns r = u%v, returning errors on invalid values of v.

func (Uint128) SafeMul 

func (u Uint128) SafeMul(v Uint128) (Uint128, error)

SafeMul returns u*v or an error on overflow.

func (Uint128) SafeMul64 

func (u Uint128) SafeMul64(v uint64) (Uint128, error)

SafeMul64 returns u*v or an error on overflow.

func (Uint128) SafeQuoRem 

func (u Uint128) SafeQuoRem(v Uint128) (q Uint128, r Uint128, err error)

SafeQuoRem returns q = u/v and u%v, returning an error on division by zero or quotient overflow.

func (Uint128) SafeQuoRem64 

func (u Uint128) SafeQuoRem64(v uint64) (q Uint128, r uint64, err error)

SafeQuoRem64 returns q = u/v r = u%v returning an error on division by zero or quotient overflow.

func (Uint128) SafeSub 

func (u Uint128) SafeSub(v Uint128) (Uint128, error)

SafeSub returns u-v or an error on overflow.

func (Uint128) SafeSub64 

func (u Uint128) SafeSub64(v uint64) (Uint128, error)

SafeSub64 returns u-v or an error on overflow.

func (Uint128) String 

func (u Uint128) String() string

String returns the base-10 representation of u as a string.

func (Uint128) Sub 

func (u Uint128) Sub(v Uint128) Uint128

Sub returns u-v panicking on overflow.

func (Uint128) Sub64 

func (u Uint128) Sub64(v uint64) Uint128

Sub64 returns u-v panicking on overflow.

func (Uint128) SubWrap 

func (u Uint128) SubWrap(v Uint128) Uint128

SubWrap returns u-v with wraparound semantics; for example, Zero.SubWrap(From64(1)) == Max.

func (Uint128) SubWrap64 

func (u Uint128) SubWrap64(v uint64) Uint128

SubWrap64 returns u-v with wraparound semantics; for example, Zero.SubWrap64(1) == Max.

func (Uint128) TrailingZeros 

func (u Uint128) TrailingZeros() int

TrailingZeros returns the number of trailing zero bits in u; the result is 128 for u == 0.

func (*Uint128) UnmarshalJSON 

func (u *Uint128) UnmarshalJSON(b []byte) error

UnmarshalJSON populates Uint128 from a json string value.

func (Uint128) Xor 

func (u Uint128) Xor(v Uint128) Uint128

Xor returns u^v.

func (Uint128) Xor64 

func (u Uint128) Xor64(v uint64) Uint128

Xor64 returns u^v.

Source Files

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