forked from mirror/go-ethereum
parent
ee9df32dba
commit
487c5cc294
@ -0,0 +1,181 @@ |
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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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) |
@ -0,0 +1,92 @@ |
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package number |
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import ( |
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"math/big" |
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"testing" |
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"github.com/ethereum/go-ethereum/ethutil" |
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) |
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func TestSet(t *testing.T) { |
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a := Uint(0) |
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b := Uint(10) |
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a.Set(b) |
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if a.num.Cmp(b.num) != 0 { |
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t.Error("didn't compare", a, b) |
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} |
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c := Uint(0).SetBytes(ethutil.Hex2Bytes("0a")) |
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if c.num.Cmp(big.NewInt(10)) != 0 { |
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t.Error("c set bytes failed.") |
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} |
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} |
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func TestInitialiser(t *testing.T) { |
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check := false |
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init := NewInitialiser(func(x *Number) *Number { |
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check = true |
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return x |
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}) |
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a := init(0).Add(init(1), init(2)) |
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if a.Cmp(init(3)) != 0 { |
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t.Error("expected 3. got", a) |
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} |
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if !check { |
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t.Error("expected limiter to be called") |
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} |
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} |
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func TestGet(t *testing.T) { |
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a := Uint(10) |
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if a.Uint64() != 10 { |
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t.Error("expected to get 10. got", a.Uint64()) |
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} |
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a = Uint(10) |
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if a.Int64() != 10 { |
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t.Error("expected to get 10. got", a.Int64()) |
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} |
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} |
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func TestCmp(t *testing.T) { |
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a := Uint(10) |
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b := Uint(10) |
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c := Uint(11) |
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if a.Cmp(b) != 0 { |
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t.Error("a b == 0 failed", a, b) |
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} |
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if a.Cmp(c) >= 0 { |
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t.Error("a c < 0 failed", a, c) |
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} |
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if c.Cmp(b) <= 0 { |
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t.Error("c b > 0 failed", c, b) |
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} |
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} |
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func TestMaxArith(t *testing.T) { |
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a := Uint(0).Add(MaxUint256, One) |
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if a.Cmp(Zero) != 0 { |
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t.Error("expected max256 + 1 = 0 got", a) |
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} |
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a = Uint(0).Sub(Uint(0), One) |
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if a.Cmp(MaxUint256) != 0 { |
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t.Error("expected 0 - 1 = max256 got", a) |
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} |
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a = Int(0).Sub(Int(0), One) |
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if a.Cmp(MinOne) != 0 { |
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t.Error("expected 0 - 1 = -1 got", a) |
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} |
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} |
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func TestConversion(t *testing.T) { |
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a := Int(-1) |
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b := a.Uint256() |
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if b.Cmp(MaxUint256) != 0 { |
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t.Error("expected -1 => unsigned to return max. got", b) |
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} |
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} |
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