332 lines
9.9 KiB
Go
332 lines
9.9 KiB
Go
// Copyright 2020 The Libc 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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// Some code is copied and adjusted from
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// https://github.com/lukechampine/uint128, the original LICENSE file
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// reproduced below in full as of 2021-01-19:
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/*
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The MIT License (MIT)
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Copyright (c) 2019 Luke Champine
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in
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all copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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THE SOFTWARE.
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*/
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package libc // import "modernc.org/libc"
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import (
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mbits "math/bits"
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"modernc.org/mathutil"
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)
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type Int128 mathutil.Int128
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var (
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int128Minus1 = Int128{-1, -1}
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int128Plus1 = Int128{Lo: 1}
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)
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func Int128FromFloat32(n float32) Int128 { return Int128(mathutil.NewInt128FromFloat32(n)) }
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func Int128FromFloat64(n float64) Int128 { return Int128(mathutil.NewInt128FromFloat64(n)) }
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func Int128FromInt16(n int16) Int128 { return Int128(mathutil.NewInt128FromInt64(int64(n))) }
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func Int128FromInt32(n int32) Int128 { return Int128(mathutil.NewInt128FromInt64(int64(n))) }
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func Int128FromInt64(n int64) Int128 { return Int128(mathutil.NewInt128FromInt64(int64(n))) }
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func Int128FromInt8(n int8) Int128 { return Int128(mathutil.NewInt128FromInt64(int64(n))) }
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func Int128FromUint16(n uint16) Int128 { return Int128(mathutil.NewInt128FromInt64(int64(n))) }
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func Int128FromUint32(n uint32) Int128 { return Int128(mathutil.NewInt128FromInt64(int64(n))) }
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func Int128FromUint64(n uint64) Int128 { return Int128(mathutil.NewInt128FromUint64(n)) }
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func Int128FromUint8(n uint8) Int128 { return Int128(mathutil.NewInt128FromInt64(int64(n))) }
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func Int128FromUint128(n Uint128) Int128 { return Int128{Lo: int64(n.Lo), Hi: int64(n.Hi)} }
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func (n *Int128) LValueDec() { *n = n.Add(int128Minus1) }
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func (n *Int128) LValueInc() { *n = n.Add(int128Plus1) }
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func (n *Int128) LValueShl(c int32) { *n = n.Shl(c) }
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func (n *Int128) LValueShr(c int32) { *n = n.Shr(c) }
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func (n Int128) And(v Int128) Int128 { return Int128{n.Lo & v.Lo, n.Hi & v.Hi} }
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func (n Int128) Cmp(y Int128) int { return mathutil.Int128(n).Cmp(mathutil.Int128(y)) }
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func (n Int128) Int16() int16 { return int16(n.Lo) }
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func (n Int128) Int32() int32 { return int32(n.Lo) }
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func (n Int128) Int64() int64 { return int64(n.Lo) }
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func (n Int128) Int8() int8 { return int8(n.Lo) }
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func (n Int128) Or(v Int128) Int128 { return Int128{n.Lo | v.Lo, n.Hi | v.Hi} }
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func (n Int128) Uint128() (r Uint128) { return Uint128{uint64(n.Lo), uint64(n.Hi)} }
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func (n Int128) Uint16() uint16 { return uint16(n.Lo) }
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func (n Int128) Uint32() uint32 { return uint32(n.Lo) }
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func (n Int128) Uint64() uint64 { return uint64(n.Lo) }
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func (n Int128) Uint8() uint8 { return uint8(n.Lo) }
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func (n Int128) Xor(v Int128) Int128 { return Int128{n.Lo ^ v.Lo, n.Hi ^ v.Hi} }
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func (n Int128) Neg() Int128 {
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n.Lo ^= -1
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n.Hi ^= -1
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return n.Add(int128Plus1)
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}
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func (n Int128) Float32() float32 {
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switch n.Hi {
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case 0:
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return float32(uint64(n.Lo))
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case -1:
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return -float32(uint64(n.Lo))
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}
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if n.Hi < 0 {
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n = n.Neg()
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return -float32(n.Hi)*(1<<64) + float32(uint64(n.Lo))
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}
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return -float32(n.Hi)*(1<<64) + float32(uint64(n.Lo))
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}
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func (n Int128) Float64() float64 {
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switch n.Hi {
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case 0:
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return float64(uint64(n.Lo))
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case -1:
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return -float64(uint64(n.Lo))
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}
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if n.Hi < 0 {
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n = n.Neg()
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return -float64(n.Hi)*(1<<64) + float64(uint64(n.Lo))
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}
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return float64(n.Hi)*(1<<64) + float64(uint64(n.Lo))
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}
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func (n Int128) Add(m Int128) (r Int128) {
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r.Lo = n.Lo + m.Lo
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r.Hi = n.Hi + m.Hi
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if uint64(r.Lo) < uint64(n.Lo) {
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r.Hi++
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}
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return r
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}
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func (n Int128) Mul(m Int128) Int128 {
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hi, lo := mbits.Mul64(uint64(n.Lo), uint64(m.Lo))
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_, p1 := mbits.Mul64(uint64(n.Hi), uint64(m.Lo))
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_, p3 := mbits.Mul64(uint64(n.Lo), uint64(m.Hi))
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hi, _ = mbits.Add64(hi, p1, 0)
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hi, _ = mbits.Add64(hi, p3, 0)
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return Int128{int64(lo), int64(hi)}
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}
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func (n Int128) Shl(c int32) (r Int128) {
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if c > 64 {
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r.Lo = 0
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r.Hi = n.Lo << (c - 64)
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} else {
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r.Lo = n.Lo << c
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r.Hi = n.Hi<<c | n.Lo>>(64-c)
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}
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return r
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}
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func (n Int128) Shr(c int32) (r Int128) {
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if c > 64 {
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r.Lo = n.Hi >> (c - 64)
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switch {
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case n.Hi < 0:
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r.Hi = -1
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default:
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r.Hi = 0
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}
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} else {
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r.Lo = n.Lo>>c | n.Hi<<(64-c)
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r.Hi = n.Hi >> c
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}
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return r
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}
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type Uint128 mathutil.Uint128
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func Uint128FromFloat32(n float32) Uint128 { return Uint128(mathutil.NewUint128FromFloat32(n)) }
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func Uint128FromFloat64(n float64) Uint128 { return Uint128(mathutil.NewUint128FromFloat64(n)) }
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func Uint128FromInt128(n Int128) Uint128 { return Uint128{Lo: uint64(n.Lo), Hi: uint64(n.Hi)} }
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func Uint128FromInt16(n int16) Uint128 { return Uint128FromInt64(int64(n)) }
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func Uint128FromInt32(n int32) Uint128 { return Uint128FromInt64(int64(n)) }
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func Uint128FromInt8(n int8) Uint128 { return Uint128FromInt64(int64(n)) }
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func Uint128FromUint16(n uint16) Uint128 { return Uint128{Lo: uint64(n)} }
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func Uint128FromUint32(n uint32) Uint128 { return Uint128{Lo: uint64(n)} }
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func Uint128FromUint64(n uint64) Uint128 { return Uint128{Lo: n} }
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func Uint128FromUint8(n uint8) Uint128 { return Uint128{Lo: uint64(n)} }
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func Uint128FromInt64(n int64) (r Uint128) {
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r.Lo = uint64(n)
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if n < 0 {
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r.Hi = ^uint64(0)
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}
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return r
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}
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func (n *Uint128) LValueShl(c int32) { *n = n.Shl(c) }
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func (n *Uint128) LValueShr(c int32) { *n = n.Shr(c) }
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func (n Uint128) And(m Uint128) Uint128 { return Uint128{n.Lo & m.Lo, n.Hi & m.Hi} }
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func (n Uint128) Int128() Int128 { return Int128{int64(n.Lo), int64(n.Hi)} }
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func (n Uint128) Int16() int16 { return int16(n.Lo) }
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func (n Uint128) Int32() int32 { return int32(n.Lo) }
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func (n Uint128) Int64() int64 { return int64(n.Lo) }
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func (n Uint128) Int8() int8 { return int8(n.Lo) }
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func (n Uint128) Or(m Uint128) Uint128 { return Uint128{n.Lo | m.Lo, n.Hi | m.Hi} }
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func (n Uint128) Uint16() uint16 { return uint16(n.Lo) }
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func (n Uint128) Uint32() uint32 { return uint32(n.Lo) }
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func (n Uint128) Uint64() uint64 { return n.Lo }
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func (n Uint128) Uint8() uint8 { return uint8(n.Lo) }
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func (n Uint128) Xor(m Uint128) Uint128 { return Uint128{n.Lo ^ m.Lo, n.Hi ^ m.Hi} }
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func (n Uint128) Add(m Uint128) (r Uint128) {
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var carry uint64
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r.Lo, carry = mbits.Add64(n.Lo, m.Lo, 0)
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r.Hi, _ = mbits.Add64(n.Hi, m.Hi, carry)
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return r
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}
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func (n Uint128) Mul(m Uint128) Uint128 {
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hi, lo := mbits.Mul64(n.Lo, m.Lo)
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_, p1 := mbits.Mul64(n.Hi, m.Lo)
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_, p3 := mbits.Mul64(n.Lo, m.Hi)
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hi, _ = mbits.Add64(hi, p1, 0)
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hi, _ = mbits.Add64(hi, p3, 0)
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return Uint128{lo, hi}
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}
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func (n Uint128) Shr(c int32) (r Uint128) {
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if c > 64 {
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r.Lo = n.Hi >> (c - 64)
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r.Hi = 0
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} else {
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r.Lo = n.Lo>>c | n.Hi<<(64-c)
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r.Hi = n.Hi >> c
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}
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return r
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}
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func (n Uint128) mulOvf(m Uint128) (_ Uint128, ovf bool) {
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hi, lo := mbits.Mul64(n.Lo, m.Lo)
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p0, p1 := mbits.Mul64(n.Hi, m.Lo)
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p2, p3 := mbits.Mul64(n.Lo, m.Hi)
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hi, c0 := mbits.Add64(hi, p1, 0)
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hi, c1 := mbits.Add64(hi, p3, 0)
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ovf = p0 != 0 || p2 != 0 || c0 != 0 || c1 != 0
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return Uint128{lo, hi}, ovf
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}
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func (n Uint128) quoRem(m Uint128) (q, r Uint128) {
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if m.Hi == 0 {
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var r64 uint64
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q, r64 = n.quoRem64(m.Lo)
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r = Uint128FromUint64(r64)
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} else {
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// generate a "trial quotient," guaranteed to be within 1 of the actual
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// quotient, then adjust.
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nz := mbits.LeadingZeros64(m.Hi)
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v1 := m.Shl(int32(nz))
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u1 := n.Shr(1)
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tq, _ := mbits.Div64(u1.Hi, u1.Lo, v1.Hi)
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tq >>= 63 - nz
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if tq != 0 {
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tq--
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}
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q = Uint128FromUint64(tq)
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// calculate remainder using trial quotient, then adjust if remainder is
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// greater than divisor
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r = n.Sub(m.mul64(tq))
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if r.Cmp(m) >= 0 {
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q = q.add64(1)
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r = r.Sub(m)
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}
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}
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return
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}
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func (n Uint128) quoRem64(m uint64) (q Uint128, r uint64) {
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if n.Hi < m {
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q.Lo, r = mbits.Div64(n.Hi, n.Lo, m)
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} else {
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q.Hi, r = mbits.Div64(0, n.Hi, m)
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q.Lo, r = mbits.Div64(r, n.Lo, m)
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}
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return
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}
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func (n Uint128) Div(m Uint128) (r Uint128) {
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r, _ = n.quoRem(m)
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return r
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}
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func (n Uint128) Shl(c int32) (r Uint128) {
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if c > 64 {
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r.Lo = 0
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r.Hi = n.Lo << (c - 64)
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} else {
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r.Lo = n.Lo << c
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r.Hi = n.Hi<<c | n.Lo>>(64-c)
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}
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return
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}
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func (n Uint128) Sub(m Uint128) Uint128 {
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lo, borrow := mbits.Sub64(n.Lo, m.Lo, 0)
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hi, _ := mbits.Sub64(n.Hi, m.Hi, borrow)
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return Uint128{lo, hi}
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}
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func (n Uint128) mul64(m uint64) Uint128 {
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hi, lo := mbits.Mul64(n.Lo, m)
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_, p1 := mbits.Mul64(n.Hi, m)
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hi, _ = mbits.Add64(hi, p1, 0)
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return Uint128{lo, hi}
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}
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func (n Uint128) Cmp(m Uint128) int {
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if n == m {
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return 0
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} else if n.Hi < m.Hi || (n.Hi == m.Hi && n.Lo < m.Lo) {
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return -1
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} else {
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return 1
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}
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}
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func (n Uint128) add64(m uint64) Uint128 {
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lo, carry := mbits.Add64(n.Lo, m, 0)
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hi, _ := mbits.Add64(n.Hi, 0, carry)
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return Uint128{lo, hi}
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}
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func (n Uint128) Float32() float32 {
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if n.Hi == 0 {
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return float32(uint64(n.Lo))
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}
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return float32(n.Hi)*(1<<64) + float32(uint64(n.Lo))
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}
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func (n Uint128) Float64() float64 {
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if n.Hi == 0 {
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return float64(uint64(n.Lo))
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}
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return float64(n.Hi)*(1<<64) + float64(uint64(n.Lo))
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}
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