350
vendor/go.starlark.net/starlark/int.go
generated
vendored
Normal file
350
vendor/go.starlark.net/starlark/int.go
generated
vendored
Normal file
@@ -0,0 +1,350 @@
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// Copyright 2017 The Bazel Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package starlark
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import (
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"fmt"
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"math"
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"math/big"
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"strconv"
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"go.starlark.net/syntax"
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)
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// Int is the type of a Starlark int.
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type Int struct {
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// We use only the signed 32 bit range of small to ensure
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// that small+small and small*small do not overflow.
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small int64 // minint32 <= small <= maxint32
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big *big.Int // big != nil <=> value is not representable as int32
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}
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// newBig allocates a new big.Int.
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func newBig(x int64) *big.Int {
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if 0 <= x && int64(big.Word(x)) == x {
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// x is guaranteed to fit into a single big.Word.
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// Most starlark ints are small,
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// but math/big assumes that since you've chosen to use math/big,
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// your big.Ints will probably grow, so it over-allocates.
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// Avoid that over-allocation by manually constructing a single-word slice.
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// See https://golang.org/cl/150999, which will hopefully land in Go 1.13.
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return new(big.Int).SetBits([]big.Word{big.Word(x)})
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}
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return big.NewInt(x)
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}
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// MakeInt returns a Starlark int for the specified signed integer.
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func MakeInt(x int) Int { return MakeInt64(int64(x)) }
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// MakeInt64 returns a Starlark int for the specified int64.
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func MakeInt64(x int64) Int {
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if math.MinInt32 <= x && x <= math.MaxInt32 {
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return Int{small: x}
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}
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return Int{big: newBig(x)}
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}
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// MakeUint returns a Starlark int for the specified unsigned integer.
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func MakeUint(x uint) Int { return MakeUint64(uint64(x)) }
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// MakeUint64 returns a Starlark int for the specified uint64.
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func MakeUint64(x uint64) Int {
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if x <= math.MaxInt32 {
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return Int{small: int64(x)}
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}
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if uint64(big.Word(x)) == x {
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// See comment in newBig for an explanation of this optimization.
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return Int{big: new(big.Int).SetBits([]big.Word{big.Word(x)})}
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}
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return Int{big: new(big.Int).SetUint64(x)}
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}
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// MakeBigInt returns a Starlark int for the specified big.Int.
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// The caller must not subsequently modify x.
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func MakeBigInt(x *big.Int) Int {
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if n := x.BitLen(); n < 32 || n == 32 && x.Int64() == math.MinInt32 {
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||||
return Int{small: x.Int64()}
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}
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return Int{big: x}
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}
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var (
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||||
zero, one = Int{small: 0}, Int{small: 1}
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oneBig = newBig(1)
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_ HasUnary = Int{}
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)
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// Unary implements the operations +int, -int, and ~int.
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func (i Int) Unary(op syntax.Token) (Value, error) {
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switch op {
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case syntax.MINUS:
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return zero.Sub(i), nil
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case syntax.PLUS:
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return i, nil
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case syntax.TILDE:
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return i.Not(), nil
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}
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return nil, nil
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}
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||||
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// Int64 returns the value as an int64.
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// If it is not exactly representable the result is undefined and ok is false.
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func (i Int) Int64() (_ int64, ok bool) {
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if i.big != nil {
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||||
x, acc := bigintToInt64(i.big)
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||||
if acc != big.Exact {
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||||
return // inexact
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||||
}
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||||
return x, true
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||||
}
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||||
return i.small, true
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||||
}
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||||
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||||
// BigInt returns the value as a big.Int.
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||||
// The returned variable must not be modified by the client.
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||||
func (i Int) BigInt() *big.Int {
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||||
if i.big != nil {
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||||
return i.big
|
||||
}
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||||
return newBig(i.small)
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}
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||||
// Uint64 returns the value as a uint64.
|
||||
// If it is not exactly representable the result is undefined and ok is false.
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||||
func (i Int) Uint64() (_ uint64, ok bool) {
|
||||
if i.big != nil {
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||||
x, acc := bigintToUint64(i.big)
|
||||
if acc != big.Exact {
|
||||
return // inexact
|
||||
}
|
||||
return x, true
|
||||
}
|
||||
if i.small < 0 {
|
||||
return // inexact
|
||||
}
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||||
return uint64(i.small), true
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||||
}
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||||
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||||
// The math/big API should provide this function.
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||||
func bigintToInt64(i *big.Int) (int64, big.Accuracy) {
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sign := i.Sign()
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||||
if sign > 0 {
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||||
if i.Cmp(maxint64) > 0 {
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||||
return math.MaxInt64, big.Below
|
||||
}
|
||||
} else if sign < 0 {
|
||||
if i.Cmp(minint64) < 0 {
|
||||
return math.MinInt64, big.Above
|
||||
}
|
||||
}
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return i.Int64(), big.Exact
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}
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// The math/big API should provide this function.
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func bigintToUint64(i *big.Int) (uint64, big.Accuracy) {
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||||
sign := i.Sign()
|
||||
if sign > 0 {
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if i.BitLen() > 64 {
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||||
return math.MaxUint64, big.Below
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||||
}
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} else if sign < 0 {
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||||
return 0, big.Above
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}
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return i.Uint64(), big.Exact
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}
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var (
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minint64 = new(big.Int).SetInt64(math.MinInt64)
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maxint64 = new(big.Int).SetInt64(math.MaxInt64)
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)
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func (i Int) Format(s fmt.State, ch rune) {
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if i.big != nil {
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i.big.Format(s, ch)
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return
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}
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newBig(i.small).Format(s, ch)
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}
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||||
func (i Int) String() string {
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||||
if i.big != nil {
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||||
return i.big.Text(10)
|
||||
}
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||||
return strconv.FormatInt(i.small, 10)
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}
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func (i Int) Type() string { return "int" }
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func (i Int) Freeze() {} // immutable
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func (i Int) Truth() Bool { return i.Sign() != 0 }
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func (i Int) Hash() (uint32, error) {
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var lo big.Word
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if i.big != nil {
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lo = i.big.Bits()[0]
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||||
} else {
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||||
lo = big.Word(i.small)
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||||
}
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||||
return 12582917 * uint32(lo+3), nil
|
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}
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func (x Int) CompareSameType(op syntax.Token, v Value, depth int) (bool, error) {
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y := v.(Int)
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if x.big != nil || y.big != nil {
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return threeway(op, x.BigInt().Cmp(y.BigInt())), nil
|
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}
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return threeway(op, signum64(x.small-y.small)), nil
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}
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// Float returns the float value nearest i.
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||||
func (i Int) Float() Float {
|
||||
if i.big != nil {
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||||
f, _ := new(big.Float).SetInt(i.big).Float64()
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return Float(f)
|
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}
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return Float(i.small)
|
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}
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||||
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func (x Int) Sign() int {
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if x.big != nil {
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return x.big.Sign()
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}
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return signum64(x.small)
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}
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func (x Int) Add(y Int) Int {
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if x.big != nil || y.big != nil {
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return MakeBigInt(new(big.Int).Add(x.BigInt(), y.BigInt()))
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||||
}
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return MakeInt64(x.small + y.small)
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}
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func (x Int) Sub(y Int) Int {
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if x.big != nil || y.big != nil {
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return MakeBigInt(new(big.Int).Sub(x.BigInt(), y.BigInt()))
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}
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return MakeInt64(x.small - y.small)
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}
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func (x Int) Mul(y Int) Int {
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if x.big != nil || y.big != nil {
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return MakeBigInt(new(big.Int).Mul(x.BigInt(), y.BigInt()))
|
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}
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return MakeInt64(x.small * y.small)
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||||
}
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func (x Int) Or(y Int) Int {
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if x.big != nil || y.big != nil {
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return Int{big: new(big.Int).Or(x.BigInt(), y.BigInt())}
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}
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||||
return Int{small: x.small | y.small}
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}
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func (x Int) And(y Int) Int {
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if x.big != nil || y.big != nil {
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return MakeBigInt(new(big.Int).And(x.BigInt(), y.BigInt()))
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||||
}
|
||||
return Int{small: x.small & y.small}
|
||||
}
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func (x Int) Xor(y Int) Int {
|
||||
if x.big != nil || y.big != nil {
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return MakeBigInt(new(big.Int).Xor(x.BigInt(), y.BigInt()))
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||||
}
|
||||
return Int{small: x.small ^ y.small}
|
||||
}
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func (x Int) Not() Int {
|
||||
if x.big != nil {
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return MakeBigInt(new(big.Int).Not(x.big))
|
||||
}
|
||||
return Int{small: ^x.small}
|
||||
}
|
||||
func (x Int) Lsh(y uint) Int { return MakeBigInt(new(big.Int).Lsh(x.BigInt(), y)) }
|
||||
func (x Int) Rsh(y uint) Int { return MakeBigInt(new(big.Int).Rsh(x.BigInt(), y)) }
|
||||
|
||||
// Precondition: y is nonzero.
|
||||
func (x Int) Div(y Int) Int {
|
||||
// http://python-history.blogspot.com/2010/08/why-pythons-integer-division-floors.html
|
||||
if x.big != nil || y.big != nil {
|
||||
xb, yb := x.BigInt(), y.BigInt()
|
||||
|
||||
var quo, rem big.Int
|
||||
quo.QuoRem(xb, yb, &rem)
|
||||
if (xb.Sign() < 0) != (yb.Sign() < 0) && rem.Sign() != 0 {
|
||||
quo.Sub(&quo, oneBig)
|
||||
}
|
||||
return MakeBigInt(&quo)
|
||||
}
|
||||
quo := x.small / y.small
|
||||
rem := x.small % y.small
|
||||
if (x.small < 0) != (y.small < 0) && rem != 0 {
|
||||
quo -= 1
|
||||
}
|
||||
return MakeInt64(quo)
|
||||
}
|
||||
|
||||
// Precondition: y is nonzero.
|
||||
func (x Int) Mod(y Int) Int {
|
||||
if x.big != nil || y.big != nil {
|
||||
xb, yb := x.BigInt(), y.BigInt()
|
||||
|
||||
var quo, rem big.Int
|
||||
quo.QuoRem(xb, yb, &rem)
|
||||
if (xb.Sign() < 0) != (yb.Sign() < 0) && rem.Sign() != 0 {
|
||||
rem.Add(&rem, yb)
|
||||
}
|
||||
return MakeBigInt(&rem)
|
||||
}
|
||||
rem := x.small % y.small
|
||||
if (x.small < 0) != (y.small < 0) && rem != 0 {
|
||||
rem += y.small
|
||||
}
|
||||
return Int{small: rem}
|
||||
}
|
||||
|
||||
func (i Int) rational() *big.Rat {
|
||||
if i.big != nil {
|
||||
return new(big.Rat).SetInt(i.big)
|
||||
}
|
||||
return new(big.Rat).SetInt64(i.small)
|
||||
}
|
||||
|
||||
// AsInt32 returns the value of x if is representable as an int32.
|
||||
func AsInt32(x Value) (int, error) {
|
||||
i, ok := x.(Int)
|
||||
if !ok {
|
||||
return 0, fmt.Errorf("got %s, want int", x.Type())
|
||||
}
|
||||
if i.big != nil {
|
||||
return 0, fmt.Errorf("%s out of range", i)
|
||||
}
|
||||
return int(i.small), nil
|
||||
}
|
||||
|
||||
// NumberToInt converts a number x to an integer value.
|
||||
// An int is returned unchanged, a float is truncated towards zero.
|
||||
// NumberToInt reports an error for all other values.
|
||||
func NumberToInt(x Value) (Int, error) {
|
||||
switch x := x.(type) {
|
||||
case Int:
|
||||
return x, nil
|
||||
case Float:
|
||||
f := float64(x)
|
||||
if math.IsInf(f, 0) {
|
||||
return zero, fmt.Errorf("cannot convert float infinity to integer")
|
||||
} else if math.IsNaN(f) {
|
||||
return zero, fmt.Errorf("cannot convert float NaN to integer")
|
||||
}
|
||||
return finiteFloatToInt(x), nil
|
||||
|
||||
}
|
||||
return zero, fmt.Errorf("cannot convert %s to int", x.Type())
|
||||
}
|
||||
|
||||
// finiteFloatToInt converts f to an Int, truncating towards zero.
|
||||
// f must be finite.
|
||||
func finiteFloatToInt(f Float) Int {
|
||||
if math.MinInt64 <= f && f <= math.MaxInt64 {
|
||||
// small values
|
||||
return MakeInt64(int64(f))
|
||||
}
|
||||
rat := f.rational()
|
||||
if rat == nil {
|
||||
panic(f) // non-finite
|
||||
}
|
||||
return MakeBigInt(new(big.Int).Div(rat.Num(), rat.Denom()))
|
||||
}
|
||||
Reference in New Issue
Block a user