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