Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Experimenting with different hash functions #992

Draft
wants to merge 7 commits into
base: main
Choose a base branch
from
Draft
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
216 changes: 206 additions & 10 deletions libs/storage/Tsavorite/cs/src/core/Utilities/Utility.cs
Original file line number Diff line number Diff line change
Expand Up @@ -2,6 +2,7 @@
// Licensed under the MIT license.

using System;
using System.Buffers.Binary;
using System.Diagnostics;
using System.Numerics;
using System.Runtime.CompilerServices;
Expand All @@ -11,6 +12,18 @@

namespace Tsavorite.core
{
internal struct local_UInt128
{
public ulong Low { get; set; }
public ulong High { get; set; }

public local_UInt128(ulong low, ulong high)
{
Low = low;
High = high;
}
}

/// <summary>
/// Empty type
/// </summary>
Expand Down Expand Up @@ -178,21 +191,204 @@ public static long GetHashCode(long input)
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static unsafe long HashBytes(byte* pbString, int len)
{
const long magicno = 40343;
char* pwString = (char*)pbString;
int cbBuf = len / 2;
ulong hashState = (ulong)len;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
ulong RotateRight(ulong operand, int shiftCount)
{
shiftCount &= 0x3f;

return
(operand >> shiftCount) |
(operand << (64 - shiftCount));
}

[MethodImpl(MethodImplOptions.AggressiveInlining)]
ulong ReverseByteOrder(ulong operand)
{
return
(operand >> 56) |
((operand & 0x00ff000000000000) >> 40) |
((operand & 0x0000ff0000000000) >> 24) |
((operand & 0x000000ff00000000) >> 8) |
((operand & 0x00000000ff000000) << 8) |
((operand & 0x0000000000ff0000) << 24) |
((operand & 0x000000000000ff00) << 40) |
(operand << 56);
}

[MethodImpl(MethodImplOptions.AggressiveInlining)]
ulong Mix(ulong value) =>
value ^ (value >> 47);

[MethodImpl(MethodImplOptions.AggressiveInlining)]
long Hash64Len16(ulong u, ulong v, ulong mul)
{
ulong a = (u ^ v) * mul;
a ^= (a >> 47);

ulong b = (v ^ a) * mul;
b ^= (b >> 47);
b *= mul;

return (long)b;
}

[MethodImpl(MethodImplOptions.AggressiveInlining)]
ulong Hash128to64(local_UInt128 x)
{
const ulong kMul = 0x9ddfea08eb382d69;

ulong a = (x.Low ^ x.High) * kMul;
a ^= (a >> 47);

ulong b = (x.High ^ a) * kMul;
b ^= (b >> 47);
b *= kMul;

return b;
}

[MethodImpl(MethodImplOptions.AggressiveInlining)]
ulong _Hash64Len16(ulong u, ulong v)
{
return Hash128to64(
new local_UInt128(u, v));
}

[MethodImpl(MethodImplOptions.AggressiveInlining)]
local_UInt128 _WeakHashLen32WithSeeds(ulong w, ulong x, ulong y, ulong z, ulong a, ulong b)
{
a += w;
b = RotateRight(b + a + z, 21);

for (int i = 0; i < cbBuf; i++, pwString++)
hashState = magicno * hashState + *pwString;
ulong c = a;
a += x;
a += y;

if ((len & 1) > 0)
b += RotateRight(a, 44);

return new local_UInt128(a + z, b + c);
}

[MethodImpl(MethodImplOptions.AggressiveInlining)]
local_UInt128 WeakHashLen32WithSeeds(byte* data, int startIndex, UInt64 a, UInt64 b)
{
byte* pC = (byte*)pwString;
hashState = magicno * hashState + *pC;
return _WeakHashLen32WithSeeds(
Unsafe.Read<ulong>(data + startIndex),
Unsafe.Read<ulong>(data + startIndex + 8),
Unsafe.Read<ulong>(data + startIndex + 16),
Unsafe.Read<ulong>(data + startIndex + 24),
a,
b);
}

return (long)Rotr64(magicno * hashState, 4);
const ulong K0 = 0xc3a5c85c97cb3127;
const ulong K1 = 0xb492b66fbe98f273;
const ulong K2 = 0x9ae16a3b2f90404f;

unchecked
{
if (len > 64)
{
ulong x = Unsafe.Read<ulong>(pbString + len - 40);
ulong y = Unsafe.Read<ulong>(pbString + len - 16) + Unsafe.Read<ulong>(pbString + len - 56);
ulong z = _Hash64Len16(
Unsafe.Read<ulong>(pbString + len - 48) + (ulong)len,
Unsafe.Read<ulong>(pbString + len - 24));

local_UInt128 v = WeakHashLen32WithSeeds(pbString, len - 64, (ulong)len, z);
local_UInt128 w = WeakHashLen32WithSeeds(pbString, len - 32, y + K1, x);

x = x * K1 + Unsafe.Read<ulong>(pbString);

// For each 64-byte chunk
var grouplen = 0 + (len - (len % 64));

for (var currentOffset = 0; currentOffset < grouplen; currentOffset += 64)
{
x = RotateRight(x + y + v.Low + Unsafe.Read<ulong>(pbString + currentOffset + 8), 37) * K1;
y = RotateRight(y + v.High + Unsafe.Read<ulong>(pbString + currentOffset + 48), 42) * K1;
x ^= w.High;
y += v.Low + Unsafe.Read<ulong>(pbString + currentOffset + 40);
z = RotateRight(z + w.Low, 33) * K1;
v = WeakHashLen32WithSeeds(pbString, currentOffset, v.High * K1, x + w.Low);
w = WeakHashLen32WithSeeds(pbString, currentOffset + 32, z + w.High, y +
Unsafe.Read<ulong>(pbString + currentOffset + 16));

ulong temp = x;
x = z;
z = temp;
}

return (long)_Hash64Len16(_Hash64Len16(v.Low, w.Low) + Mix(y) * K1 + z,
_Hash64Len16(v.High, w.High) + x);
}
else if (len > 32)
{
ulong mul = K2 + (ulong)len * 2;
ulong a = Unsafe.Read<ulong>(pbString) * K2;
ulong b = Unsafe.Read<ulong>(pbString + 8);
ulong c = Unsafe.Read<ulong>(pbString + len - 24);
ulong d = Unsafe.Read<ulong>(pbString + len - 32);
ulong e = Unsafe.Read<ulong>(pbString + 16) * K2;
ulong f = Unsafe.Read<ulong>(pbString + 24) * 9;
ulong g = Unsafe.Read<ulong>(pbString + len - 8);
ulong h = Unsafe.Read<ulong>(pbString + len - 16) * mul;

ulong u = RotateRight(a + g, 43) + (RotateRight(b, 30) + c) * 9;
ulong v = ((a + g) ^ d) + f + 1;
ulong w = ReverseByteOrder((u + v) * mul) + h;
ulong x = RotateRight(e + f, 42) + c;
ulong y = (ReverseByteOrder((v + w) * mul) + g) * mul;
ulong z = e + f + c;

a = ReverseByteOrder((x + z) * mul + y) + b;
b = Mix((z + a) * mul + d + h) * mul;
return (long)(b + x);
}
else if (len > 16)
{
ulong mul = K2 + (ulong)len * 2;
ulong a = Unsafe.Read<ulong>(pbString) * K1;
ulong b = Unsafe.Read<ulong>(pbString + 8);
ulong c = Unsafe.Read<ulong>(pbString + len - 8) * mul;
ulong d = Unsafe.Read<ulong>(pbString + len - 16) * K2;

return (long)Hash64Len16(
RotateRight(a + b, 43) +
RotateRight(c, 30) + d,
a + RotateRight(b + K2, 18) + c,
mul);
}
else if (len >= 8)
{
ulong mul = K2 + (ulong)len * 2;
ulong a = Unsafe.Read<ulong>(pbString) + K2;
ulong b = Unsafe.Read<ulong>(pbString + len - 8);
ulong c = RotateRight(b, 37) * mul + a;
ulong d = (RotateRight(a, 25) + b) * mul;

return Hash64Len16(c, d, mul);
}
else if (len >= 4)
{
ulong mul = K2 + (ulong)len * 2;
ulong a = Unsafe.Read<uint>(pbString);
return Hash64Len16((ulong)len + (a << 3), Unsafe.Read<uint>(pbString + len - 4), mul);
}
else if (len > 0)
{
byte a = pbString[0];
byte b = pbString[0 + (len >> 1)];
byte c = pbString[len - 1];

uint y = (uint)a + ((uint)b << 8);
uint z = (uint)len + ((uint)c << 2);

return (long)(Mix((ulong)(y * K2 ^ z * K0)) * K2);
}

return (long)K2;
}
}

/// <summary>
Expand Down
Loading