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authorWim <wim@42.be>2022-01-31 00:27:37 +0100
committerWim <wim@42.be>2022-03-20 14:57:48 +0100
commite3cafeaf9292f67459ff1d186f68283bfaedf2ae (patch)
treeb69c39620aa91dba695b3b935c6651c0fb37ce75 /vendor/lukechampine.com/uint128/uint128.go
parente7b193788a56ee7cdb02a87a9db0ad6724ef66d5 (diff)
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Diffstat (limited to 'vendor/lukechampine.com/uint128/uint128.go')
-rw-r--r--vendor/lukechampine.com/uint128/uint128.go417
1 files changed, 417 insertions, 0 deletions
diff --git a/vendor/lukechampine.com/uint128/uint128.go b/vendor/lukechampine.com/uint128/uint128.go
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+++ b/vendor/lukechampine.com/uint128/uint128.go
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+package uint128 // import "lukechampine.com/uint128"
+
+import (
+ "encoding/binary"
+ "math"
+ "math/big"
+ "math/bits"
+)
+
+// Zero is a zero-valued uint128.
+var Zero Uint128
+
+// Max is the largest possible uint128 value.
+var Max = New(math.MaxUint64, math.MaxUint64)
+
+// A Uint128 is an unsigned 128-bit number.
+type Uint128 struct {
+ Lo, Hi uint64
+}
+
+// IsZero returns true if u == 0.
+func (u Uint128) IsZero() bool {
+ // NOTE: we do not compare against Zero, because that is a global variable
+ // that could be modified.
+ return u == Uint128{}
+}
+
+// Equals returns true if u == v.
+//
+// Uint128 values can be compared directly with ==, but use of the Equals method
+// is preferred for consistency.
+func (u Uint128) Equals(v Uint128) bool {
+ return u == v
+}
+
+// Equals64 returns true if u == v.
+func (u Uint128) Equals64(v uint64) bool {
+ return u.Lo == v && u.Hi == 0
+}
+
+// Cmp compares u and v and returns:
+//
+// -1 if u < v
+// 0 if u == v
+// +1 if u > v
+//
+func (u Uint128) Cmp(v Uint128) int {
+ if u == v {
+ return 0
+ } else if u.Hi < v.Hi || (u.Hi == v.Hi && u.Lo < v.Lo) {
+ return -1
+ } else {
+ return 1
+ }
+}
+
+// Cmp64 compares u and v and returns:
+//
+// -1 if u < v
+// 0 if u == v
+// +1 if u > v
+//
+func (u Uint128) Cmp64(v uint64) int {
+ if u.Hi == 0 && u.Lo == v {
+ return 0
+ } else if u.Hi == 0 && u.Lo < v {
+ return -1
+ } else {
+ return 1
+ }
+}
+
+// And returns u&v.
+func (u Uint128) And(v Uint128) Uint128 {
+ return Uint128{u.Lo & v.Lo, u.Hi & v.Hi}
+}
+
+// And64 returns u&v.
+func (u Uint128) And64(v uint64) Uint128 {
+ return Uint128{u.Lo & v, u.Hi & 0}
+}
+
+// Or returns u|v.
+func (u Uint128) Or(v Uint128) Uint128 {
+ return Uint128{u.Lo | v.Lo, u.Hi | v.Hi}
+}
+
+// Or64 returns u|v.
+func (u Uint128) Or64(v uint64) Uint128 {
+ return Uint128{u.Lo | v, u.Hi | 0}
+}
+
+// Xor returns u^v.
+func (u Uint128) Xor(v Uint128) Uint128 {
+ return Uint128{u.Lo ^ v.Lo, u.Hi ^ v.Hi}
+}
+
+// Xor64 returns u^v.
+func (u Uint128) Xor64(v uint64) Uint128 {
+ return Uint128{u.Lo ^ v, u.Hi ^ 0}
+}
+
+// Add returns u+v.
+func (u Uint128) Add(v Uint128) Uint128 {
+ lo, carry := bits.Add64(u.Lo, v.Lo, 0)
+ hi, carry := bits.Add64(u.Hi, v.Hi, carry)
+ if carry != 0 {
+ panic("overflow")
+ }
+ return Uint128{lo, hi}
+}
+
+// AddWrap returns u+v with wraparound semantics; for example,
+// Max.AddWrap(From64(1)) == Zero.
+func (u Uint128) AddWrap(v Uint128) Uint128 {
+ lo, carry := bits.Add64(u.Lo, v.Lo, 0)
+ hi, _ := bits.Add64(u.Hi, v.Hi, carry)
+ return Uint128{lo, hi}
+}
+
+// Add64 returns u+v.
+func (u Uint128) Add64(v uint64) Uint128 {
+ lo, carry := bits.Add64(u.Lo, v, 0)
+ hi, carry := bits.Add64(u.Hi, 0, carry)
+ if carry != 0 {
+ panic("overflow")
+ }
+ return Uint128{lo, hi}
+}
+
+// AddWrap64 returns u+v with wraparound semantics; for example,
+// Max.AddWrap64(1) == Zero.
+func (u Uint128) AddWrap64(v uint64) Uint128 {
+ lo, carry := bits.Add64(u.Lo, v, 0)
+ hi := u.Hi + carry
+ return Uint128{lo, hi}
+}
+
+// Sub returns u-v.
+func (u Uint128) Sub(v Uint128) Uint128 {
+ lo, borrow := bits.Sub64(u.Lo, v.Lo, 0)
+ hi, borrow := bits.Sub64(u.Hi, v.Hi, borrow)
+ if borrow != 0 {
+ panic("underflow")
+ }
+ return Uint128{lo, hi}
+}
+
+// SubWrap returns u-v with wraparound semantics; for example,
+// Zero.SubWrap(From64(1)) == Max.
+func (u Uint128) SubWrap(v Uint128) Uint128 {
+ lo, borrow := bits.Sub64(u.Lo, v.Lo, 0)
+ hi, _ := bits.Sub64(u.Hi, v.Hi, borrow)
+ return Uint128{lo, hi}
+}
+
+// Sub64 returns u-v.
+func (u Uint128) Sub64(v uint64) Uint128 {
+ lo, borrow := bits.Sub64(u.Lo, v, 0)
+ hi, borrow := bits.Sub64(u.Hi, 0, borrow)
+ if borrow != 0 {
+ panic("underflow")
+ }
+ return Uint128{lo, hi}
+}
+
+// SubWrap64 returns u-v with wraparound semantics; for example,
+// Zero.SubWrap64(1) == Max.
+func (u Uint128) SubWrap64(v uint64) Uint128 {
+ lo, borrow := bits.Sub64(u.Lo, v, 0)
+ hi := u.Hi - borrow
+ return Uint128{lo, hi}
+}
+
+// Mul returns u*v, panicking on overflow.
+func (u Uint128) Mul(v Uint128) Uint128 {
+ hi, lo := bits.Mul64(u.Lo, v.Lo)
+ p0, p1 := bits.Mul64(u.Hi, v.Lo)
+ p2, p3 := bits.Mul64(u.Lo, v.Hi)
+ hi, c0 := bits.Add64(hi, p1, 0)
+ hi, c1 := bits.Add64(hi, p3, c0)
+ if (u.Hi != 0 && v.Hi != 0) || p0 != 0 || p2 != 0 || c1 != 0 {
+ panic("overflow")
+ }
+ return Uint128{lo, hi}
+}
+
+// MulWrap returns u*v with wraparound semantics; for example,
+// Max.MulWrap(Max) == 1.
+func (u Uint128) MulWrap(v Uint128) Uint128 {
+ hi, lo := bits.Mul64(u.Lo, v.Lo)
+ hi += u.Hi*v.Lo + u.Lo*v.Hi
+ return Uint128{lo, hi}
+}
+
+// Mul64 returns u*v, panicking on overflow.
+func (u Uint128) Mul64(v uint64) Uint128 {
+ hi, lo := bits.Mul64(u.Lo, v)
+ p0, p1 := bits.Mul64(u.Hi, v)
+ hi, c0 := bits.Add64(hi, p1, 0)
+ if p0 != 0 || c0 != 0 {
+ panic("overflow")
+ }
+ return Uint128{lo, hi}
+}
+
+// MulWrap64 returns u*v with wraparound semantics; for example,
+// Max.MulWrap64(2) == Max.Sub64(1).
+func (u Uint128) MulWrap64(v uint64) Uint128 {
+ hi, lo := bits.Mul64(u.Lo, v)
+ hi += u.Hi * v
+ return Uint128{lo, hi}
+}
+
+// Div returns u/v.
+func (u Uint128) Div(v Uint128) Uint128 {
+ q, _ := u.QuoRem(v)
+ return q
+}
+
+// Div64 returns u/v.
+func (u Uint128) Div64(v uint64) Uint128 {
+ q, _ := u.QuoRem64(v)
+ return q
+}
+
+// QuoRem returns q = u/v and r = u%v.
+func (u Uint128) QuoRem(v Uint128) (q, r Uint128) {
+ if v.Hi == 0 {
+ var r64 uint64
+ q, r64 = u.QuoRem64(v.Lo)
+ r = From64(r64)
+ } else {
+ // generate a "trial quotient," guaranteed to be within 1 of the actual
+ // quotient, then adjust.
+ n := uint(bits.LeadingZeros64(v.Hi))
+ v1 := v.Lsh(n)
+ u1 := u.Rsh(1)
+ tq, _ := bits.Div64(u1.Hi, u1.Lo, v1.Hi)
+ tq >>= 63 - n
+ if tq != 0 {
+ tq--
+ }
+ q = From64(tq)
+ // calculate remainder using trial quotient, then adjust if remainder is
+ // greater than divisor
+ r = u.Sub(v.Mul64(tq))
+ if r.Cmp(v) >= 0 {
+ q = q.Add64(1)
+ r = r.Sub(v)
+ }
+ }
+ return
+}
+
+// QuoRem64 returns q = u/v and r = u%v.
+func (u Uint128) QuoRem64(v uint64) (q Uint128, r uint64) {
+ if u.Hi < v {
+ q.Lo, r = bits.Div64(u.Hi, u.Lo, v)
+ } else {
+ q.Hi, r = bits.Div64(0, u.Hi, v)
+ q.Lo, r = bits.Div64(r, u.Lo, v)
+ }
+ return
+}
+
+// Mod returns r = u%v.
+func (u Uint128) Mod(v Uint128) (r Uint128) {
+ _, r = u.QuoRem(v)
+ return
+}
+
+// Mod64 returns r = u%v.
+func (u Uint128) Mod64(v uint64) (r uint64) {
+ _, r = u.QuoRem64(v)
+ return
+}
+
+// Lsh returns u<<n.
+func (u Uint128) Lsh(n uint) (s Uint128) {
+ if n > 64 {
+ s.Lo = 0
+ s.Hi = u.Lo << (n - 64)
+ } else {
+ s.Lo = u.Lo << n
+ s.Hi = u.Hi<<n | u.Lo>>(64-n)
+ }
+ return
+}
+
+// Rsh returns u>>n.
+func (u Uint128) Rsh(n uint) (s Uint128) {
+ if n > 64 {
+ s.Lo = u.Hi >> (n - 64)
+ s.Hi = 0
+ } else {
+ s.Lo = u.Lo>>n | u.Hi<<(64-n)
+ s.Hi = u.Hi >> n
+ }
+ return
+}
+
+// LeadingZeros returns the number of leading zero bits in u; the result is 128
+// for u == 0.
+func (u Uint128) LeadingZeros() int {
+ if u.Hi > 0 {
+ return bits.LeadingZeros64(u.Hi)
+ }
+ return 64 + bits.LeadingZeros64(u.Lo)
+}
+
+// TrailingZeros returns the number of trailing zero bits in u; the result is
+// 128 for u == 0.
+func (u Uint128) TrailingZeros() int {
+ if u.Lo > 0 {
+ return bits.TrailingZeros64(u.Lo)
+ }
+ return 64 + bits.TrailingZeros64(u.Hi)
+}
+
+// OnesCount returns the number of one bits ("population count") in u.
+func (u Uint128) OnesCount() int {
+ return bits.OnesCount64(u.Hi) + bits.OnesCount64(u.Lo)
+}
+
+// RotateLeft returns the value of u rotated left by (k mod 128) bits.
+func (u Uint128) RotateLeft(k int) Uint128 {
+ const n = 128
+ s := uint(k) & (n - 1)
+ return u.Lsh(s).Or(u.Rsh(n - s))
+}
+
+// RotateRight returns the value of u rotated left by (k mod 128) bits.
+func (u Uint128) RotateRight(k int) Uint128 {
+ return u.RotateLeft(-k)
+}
+
+// Reverse returns the value of u with its bits in reversed order.
+func (u Uint128) Reverse() Uint128 {
+ return Uint128{bits.Reverse64(u.Hi), bits.Reverse64(u.Lo)}
+}
+
+// ReverseBytes returns the value of u with its bytes in reversed order.
+func (u Uint128) ReverseBytes() Uint128 {
+ return Uint128{bits.ReverseBytes64(u.Hi), bits.ReverseBytes64(u.Lo)}
+}
+
+// Len returns the minimum number of bits required to represent u; the result is
+// 0 for u == 0.
+func (u Uint128) Len() int {
+ return 128 - u.LeadingZeros()
+}
+
+// String returns the base-10 representation of u as a string.
+func (u Uint128) String() string {
+ if u.IsZero() {
+ return "0"
+ }
+ buf := []byte("0000000000000000000000000000000000000000") // log10(2^128) < 40
+ for i := len(buf); ; i -= 19 {
+ q, r := u.QuoRem64(1e19) // largest power of 10 that fits in a uint64
+ var n int
+ for ; r != 0; r /= 10 {
+ n++
+ buf[i-n] += byte(r % 10)
+ }
+ if q.IsZero() {
+ return string(buf[i-n:])
+ }
+ u = q
+ }
+}
+
+// PutBytes stores u in b in little-endian order. It panics if len(b) < 16.
+func (u Uint128) PutBytes(b []byte) {
+ binary.LittleEndian.PutUint64(b[:8], u.Lo)
+ binary.LittleEndian.PutUint64(b[8:], u.Hi)
+}
+
+// Big returns u as a *big.Int.
+func (u Uint128) Big() *big.Int {
+ i := new(big.Int).SetUint64(u.Hi)
+ i = i.Lsh(i, 64)
+ i = i.Xor(i, new(big.Int).SetUint64(u.Lo))
+ return i
+}
+
+// New returns the Uint128 value (lo,hi).
+func New(lo, hi uint64) Uint128 {
+ return Uint128{lo, hi}
+}
+
+// From64 converts v to a Uint128 value.
+func From64(v uint64) Uint128 {
+ return New(v, 0)
+}
+
+// FromBytes converts b to a Uint128 value.
+func FromBytes(b []byte) Uint128 {
+ return New(
+ binary.LittleEndian.Uint64(b[:8]),
+ binary.LittleEndian.Uint64(b[8:]),
+ )
+}
+
+// FromBig converts i to a Uint128 value. It panics if i is negative or
+// overflows 128 bits.
+func FromBig(i *big.Int) (u Uint128) {
+ if i.Sign() < 0 {
+ panic("value cannot be negative")
+ } else if i.BitLen() > 128 {
+ panic("value overflows Uint128")
+ }
+ u.Lo = i.Uint64()
+ u.Hi = new(big.Int).Rsh(i, 64).Uint64()
+ return u
+}