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 )