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| 1 | +package number |
| 2 | + |
| 3 | +import ( |
| 4 | + "math/big" |
| 5 | + |
| 6 | + "github.com/ethereum/go-ethereum/ethutil" |
| 7 | +) |
| 8 | + |
| 9 | +var tt256 = new(big.Int).Lsh(big.NewInt(1), 256) |
| 10 | +var tt256m1 = new(big.Int).Sub(new(big.Int).Lsh(big.NewInt(1), 256), big.NewInt(1)) |
| 11 | +var tt255 = new(big.Int).Lsh(big.NewInt(1), 255) |
| 12 | + |
| 13 | +func limitUnsigned256(x *Number) *Number { |
| 14 | + x.num.And(x.num, tt256m1) |
| 15 | + return x |
| 16 | +} |
| 17 | + |
| 18 | +func limitSigned256(x *Number) *Number { |
| 19 | + if x.num.Cmp(tt255) < 0 { |
| 20 | + return x |
| 21 | + } else { |
| 22 | + x.num.Sub(x.num, tt256) |
| 23 | + return x |
| 24 | + } |
| 25 | +} |
| 26 | + |
| 27 | +// Number function |
| 28 | +type Initialiser func(n int64) *Number |
| 29 | + |
| 30 | +// A Number represents a generic integer with a bounding function limiter. Limit is called after each operations |
| 31 | +// to give "fake" bounded integers. New types of Number can be created through NewInitialiser returning a lambda |
| 32 | +// with the new Initialiser. |
| 33 | +type Number struct { |
| 34 | + num *big.Int |
| 35 | + limit func(n *Number) *Number |
| 36 | +} |
| 37 | + |
| 38 | +// Returns a new initialiser for a new *Number without having to expose certain fields |
| 39 | +func NewInitialiser(limiter func(*Number) *Number) Initialiser { |
| 40 | + return func(n int64) *Number { |
| 41 | + return &Number{big.NewInt(n), limiter} |
| 42 | + } |
| 43 | +} |
| 44 | + |
| 45 | +// Return a Number with a UNSIGNED limiter up to 256 bits |
| 46 | +func Uint256(n int64) *Number { |
| 47 | + return &Number{big.NewInt(n), limitUnsigned256} |
| 48 | +} |
| 49 | + |
| 50 | +// Return a Number with a SIGNED limiter up to 256 bits |
| 51 | +func Int256(n int64) *Number { |
| 52 | + return &Number{big.NewInt(n), limitSigned256} |
| 53 | +} |
| 54 | + |
| 55 | +// Returns a Number with a SIGNED unlimited size |
| 56 | +func Big(n int64) *Number { |
| 57 | + return &Number{big.NewInt(n), func(x *Number) *Number { return x }} |
| 58 | +} |
| 59 | + |
| 60 | +// Sets i to sum of x+y |
| 61 | +func (i *Number) Add(x, y *Number) *Number { |
| 62 | + i.num.Add(x.num, y.num) |
| 63 | + return i.limit(i) |
| 64 | +} |
| 65 | + |
| 66 | +// Sets i to difference of x-y |
| 67 | +func (i *Number) Sub(x, y *Number) *Number { |
| 68 | + i.num.Sub(x.num, y.num) |
| 69 | + return i.limit(i) |
| 70 | +} |
| 71 | + |
| 72 | +// Sets i to product of x*y |
| 73 | +func (i *Number) Mul(x, y *Number) *Number { |
| 74 | + i.num.Mul(x.num, y.num) |
| 75 | + return i.limit(i) |
| 76 | +} |
| 77 | + |
| 78 | +// Sets i to the quotient prodject of x/y |
| 79 | +func (i *Number) Div(x, y *Number) *Number { |
| 80 | + i.num.Div(x.num, y.num) |
| 81 | + return i.limit(i) |
| 82 | +} |
| 83 | + |
| 84 | +// Sets i to x % y |
| 85 | +func (i *Number) Mod(x, y *Number) *Number { |
| 86 | + i.num.Mod(x.num, y.num) |
| 87 | + return i.limit(i) |
| 88 | +} |
| 89 | + |
| 90 | +// Sets i to x << s |
| 91 | +func (i *Number) Lsh(x *Number, s uint) *Number { |
| 92 | + i.num.Lsh(x.num, s) |
| 93 | + return i.limit(i) |
| 94 | +} |
| 95 | + |
| 96 | +// Sets i to x^y |
| 97 | +func (i *Number) Pow(x, y *Number) *Number { |
| 98 | + i.num.Exp(x.num, y.num, big.NewInt(0)) |
| 99 | + return i.limit(i) |
| 100 | +} |
| 101 | + |
| 102 | +// Setters |
| 103 | + |
| 104 | +// Set x to i |
| 105 | +func (i *Number) Set(x *Number) *Number { |
| 106 | + i.num.Set(x.num) |
| 107 | + return i.limit(i) |
| 108 | +} |
| 109 | + |
| 110 | +// Set x bytes to i |
| 111 | +func (i *Number) SetBytes(x []byte) *Number { |
| 112 | + i.num.SetBytes(x) |
| 113 | + return i.limit(i) |
| 114 | +} |
| 115 | + |
| 116 | +// Cmp compares x and y and returns: |
| 117 | +// |
| 118 | +// -1 if x < y |
| 119 | +// 0 if x == y |
| 120 | +// +1 if x > y |
| 121 | +func (i *Number) Cmp(x *Number) int { |
| 122 | + return i.num.Cmp(x.num) |
| 123 | +} |
| 124 | + |
| 125 | +// Getters |
| 126 | + |
| 127 | +// Returns the string representation of i |
| 128 | +func (i *Number) String() string { |
| 129 | + return i.num.String() |
| 130 | +} |
| 131 | + |
| 132 | +// Returns the byte representation of i |
| 133 | +func (i *Number) Bytes() []byte { |
| 134 | + return i.num.Bytes() |
| 135 | +} |
| 136 | + |
| 137 | +// Uint64 returns the Uint64 representation of x. If x cannot be represented in an int64, the result is undefined. |
| 138 | +func (i *Number) Uint64() uint64 { |
| 139 | + return i.num.Uint64() |
| 140 | +} |
| 141 | + |
| 142 | +// Int64 returns the int64 representation of x. If x cannot be represented in an int64, the result is undefined. |
| 143 | +func (i *Number) Int64() int64 { |
| 144 | + return i.num.Int64() |
| 145 | +} |
| 146 | + |
| 147 | +// Returns the signed version of i |
| 148 | +func (i *Number) Int256() *Number { |
| 149 | + return Int(0).Set(i) |
| 150 | +} |
| 151 | + |
| 152 | +// Returns the unsigned version of i |
| 153 | +func (i *Number) Uint256() *Number { |
| 154 | + return Uint(0).Set(i) |
| 155 | +} |
| 156 | + |
| 157 | +// Returns the index of the first bit that's set to 1 |
| 158 | +func (i *Number) FirstBitSet() int { |
| 159 | + for j := 0; j < i.num.BitLen(); j++ { |
| 160 | + if i.num.Bit(j) > 0 { |
| 161 | + return j |
| 162 | + } |
| 163 | + } |
| 164 | + |
| 165 | + return i.num.BitLen() |
| 166 | +} |
| 167 | + |
| 168 | +// Variables |
| 169 | + |
| 170 | +var ( |
| 171 | + Zero = Uint(0) |
| 172 | + One = Uint(1) |
| 173 | + Two = Uint(2) |
| 174 | + MaxUint256 = Uint(0).SetBytes(ethutil.Hex2Bytes("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff")) |
| 175 | + |
| 176 | + MinOne = Int(-1) |
| 177 | + |
| 178 | + // "typedefs" |
| 179 | + Uint = Uint256 |
| 180 | + Int = Int256 |
| 181 | +) |
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