package number
import (
"math/big"
"github.com/ethereum/go-ethereum/common"
)
var tt256 = new(big.Int).Lsh(big.NewInt(1), 256)
var tt256m1 = new(big.Int).Sub(new(big.Int).Lsh(big.NewInt(1), 256), big.NewInt(1))
var tt255 = new(big.Int).Lsh(big.NewInt(1), 255)
func limitUnsigned256(x *Number) *Number {
x.num.And(x.num, tt256m1)
return x
}
func limitSigned256(x *Number) *Number {
if x.num.Cmp(tt255) < 0 {
return x
} else {
x.num.Sub(x.num, tt256)
return x
}
}
// Number function
type Initialiser func(n int64) *Number
// A Number represents a generic integer with a bounding function limiter. Limit is called after each operations
// to give "fake" bounded integers. New types of Number can be created through NewInitialiser returning a lambda
// with the new Initialiser.
type Number struct {
num *big.Int
limit func(n *Number) *Number
}
// Returns a new initialiser for a new *Number without having to expose certain fields
func NewInitialiser(limiter func(*Number) *Number) Initialiser {
return func(n int64) *Number {
return &Number{big.NewInt(n), limiter}
}
}
// Return a Number with a UNSIGNED limiter up to 256 bits
func Uint256(n int64) *Number {
return &Number{big.NewInt(n), limitUnsigned256}
}
// Return a Number with a SIGNED limiter up to 256 bits
func Int256(n int64) *Number {
return &Number{big.NewInt(n), limitSigned256}
}
// Returns a Number with a SIGNED unlimited size
func Big(n int64) *Number {
return &Number{big.NewInt(n), func(x *Number) *Number { return x }}
}
// Sets i to sum of x+y
func (i *Number) Add(x, y *Number) *Number {
i.num.Add(x.num, y.num)
return i.limit(i)
}
// Sets i to difference of x-y
func (i *Number) Sub(x, y *Number) *Number {
i.num.Sub(x.num, y.num)
return i.limit(i)
}
// Sets i to product of x*y
func (i *Number) Mul(x, y *Number) *Number {
i.num.Mul(x.num, y.num)
return i.limit(i)
}
// Sets i to the quotient prodject of x/y
func (i *Number) Div(x, y *Number) *Number {
i.num.Div(x.num, y.num)
return i.limit(i)
}
// Sets i to x % y
func (i *Number) Mod(x, y *Number) *Number {
i.num.Mod(x.num, y.num)
return i.limit(i)
}
// Sets i to x << s
func (i *Number) Lsh(x *Number, s uint) *Number {
i.num.Lsh(x.num, s)
return i.limit(i)
}
// Sets i to x^y
func (i *Number) Pow(x, y *Number) *Number {
i.num.Exp(x.num, y.num, big.NewInt(0))
return i.limit(i)
}
// Setters
// Set x to i
func (i *Number) Set(x *Number) *Number {
i.num.Set(x.num)
return i.limit(i)
}
// Set x bytes to i
func (i *Number) SetBytes(x []byte) *Number {
i.num.SetBytes(x)
return i.limit(i)
}
// Cmp compares x and y and returns:
//
// -1 if x < y
// 0 if x == y
// +1 if x > y
func (i *Number) Cmp(x *Number) int {
return i.num.Cmp(x.num)
}
// Getters
// Returns the string representation of i
func (i *Number) String() string {
return i.num.String()
}
// Returns the byte representation of i
func (i *Number) Bytes() []byte {
return i.num.Bytes()
}
// Uint64 returns the Uint64 representation of x. If x cannot be represented in an int64, the result is undefined.
func (i *Number) Uint64() uint64 {
return i.num.Uint64()
}
// Int64 returns the int64 representation of x. If x cannot be represented in an int64, the result is undefined.
func (i *Number) Int64() int64 {
return i.num.Int64()
}
// Returns the signed version of i
func (i *Number) Int256() *Number {
return Int(0).Set(i)
}
// Returns the unsigned version of i
func (i *Number) Uint256() *Number {
return Uint(0).Set(i)
}
// Returns the index of the first bit that's set to 1
func (i *Number) FirstBitSet() int {
for j := 0; j < i.num.BitLen(); j++ {
if i.num.Bit(j) > 0 {
return j
}
}
return i.num.BitLen()
}
// Variables
var (
Zero = Uint(0)
One = Uint(1)
Two = Uint(2)
MaxUint256 = Uint(0).SetBytes(common.Hex2Bytes("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"))
MinOne = Int(-1)
// "typedefs"
Uint = Uint256
Int = Int256
)
