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Uses the non rational solution of a quadratic, I made it work up to 256 bits, added Mathematica code in case anyone wants to verify the magic constant. integers between sizes 3...15 were affected by fatal bias, it is best to make them pass through the generic solution. Thanks to RetroDev256 & Andrew feedback.
129 lines
4.1 KiB
Zig
129 lines
4.1 KiB
Zig
const adler = @import("hash/adler.zig");
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pub const Adler32 = adler.Adler32;
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const auto_hash = @import("hash/auto_hash.zig");
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pub const autoHash = auto_hash.autoHash;
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pub const autoHashStrat = auto_hash.hash;
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pub const Strategy = auto_hash.HashStrategy;
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// pub for polynomials + generic crc32 construction
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pub const crc = @import("hash/crc.zig");
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pub const Crc32 = crc.Crc32;
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const fnv = @import("hash/fnv.zig");
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pub const Fnv1a_32 = fnv.Fnv1a_32;
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pub const Fnv1a_64 = fnv.Fnv1a_64;
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pub const Fnv1a_128 = fnv.Fnv1a_128;
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const siphash = @import("crypto/siphash.zig");
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pub const SipHash64 = siphash.SipHash64;
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pub const SipHash128 = siphash.SipHash128;
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pub const murmur = @import("hash/murmur.zig");
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pub const Murmur2_32 = murmur.Murmur2_32;
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pub const Murmur2_64 = murmur.Murmur2_64;
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pub const Murmur3_32 = murmur.Murmur3_32;
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pub const cityhash = @import("hash/cityhash.zig");
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pub const CityHash32 = cityhash.CityHash32;
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pub const CityHash64 = cityhash.CityHash64;
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const wyhash = @import("hash/wyhash.zig");
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pub const Wyhash = wyhash.Wyhash;
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const xxhash = @import("hash/xxhash.zig");
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pub const XxHash3 = xxhash.XxHash3;
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pub const XxHash64 = xxhash.XxHash64;
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pub const XxHash32 = xxhash.XxHash32;
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/// Easy & fast hash function for integer types
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pub fn int(input: anytype) @TypeOf(input) {
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// This function is only intended for integer types
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const info = @typeInfo(@TypeOf(input)).int;
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const bits = info.bits;
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// Convert input to unsigned integer (easier to deal with)
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const Uint = @Type(.{ .int = .{ .bits = bits, .signedness = .unsigned } });
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const u_input: Uint = @bitCast(input);
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if (bits > 256) @compileError("bit widths > 256 are unsupported, use std.hash.autoHash functionality.");
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// For bit widths that don't have a dedicated function, use a heuristic
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// construction with a multiplier suited to diffusion -
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// a mod 2^bits where a^2 - 46 * a + 1 = 0 mod 2^(bits + 4),
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// on Mathematica: bits = 256; BaseForm[Solve[1 - 46 a + a^2 == 0, a, Modulus -> 2^(bits + 4)][[-1]][[1]][[2]], 16]
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const mult: Uint = @truncate(0xfac2e27ed2036860a062b5f264d80a512b00aa459b448bf1eca24d41c96f59e5b);
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// The bit width of the input integer determines how to hash it
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const output = switch (bits) {
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0...2 => u_input *% mult,
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16 => uint16(u_input),
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32 => uint32(u_input),
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64 => uint64(u_input),
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else => blk: {
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var x: Uint = u_input;
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inline for (0..4) |_| {
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x ^= x >> (bits / 2);
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x *%= mult;
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}
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break :blk x;
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},
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};
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return @bitCast(output);
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}
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/// Source: https://github.com/skeeto/hash-prospector
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fn uint16(input: u16) u16 {
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var x: u16 = input;
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x = (x ^ (x >> 7)) *% 0x2993;
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x = (x ^ (x >> 5)) *% 0xe877;
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x = (x ^ (x >> 9)) *% 0x0235;
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x = x ^ (x >> 10);
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return x;
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}
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/// DEPRECATED: use std.hash.int()
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/// Source: https://github.com/skeeto/hash-prospector
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pub fn uint32(input: u32) u32 {
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var x: u32 = input;
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x = (x ^ (x >> 17)) *% 0xed5ad4bb;
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x = (x ^ (x >> 11)) *% 0xac4c1b51;
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x = (x ^ (x >> 15)) *% 0x31848bab;
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x = x ^ (x >> 14);
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return x;
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}
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/// Source: https://github.com/jonmaiga/mx3
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fn uint64(input: u64) u64 {
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var x: u64 = input;
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const c = 0xbea225f9eb34556d;
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x = (x ^ (x >> 32)) *% c;
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x = (x ^ (x >> 29)) *% c;
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x = (x ^ (x >> 32)) *% c;
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x = x ^ (x >> 29);
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return x;
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}
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test int {
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const expectEqual = @import("std").testing.expectEqual;
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try expectEqual(0x1, int(@as(u1, 1)));
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try expectEqual(0x3, int(@as(u2, 1)));
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try expectEqual(0x4, int(@as(u3, 1)));
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try expectEqual(0xD6, int(@as(u8, 1)));
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try expectEqual(0x2880, int(@as(u16, 1)));
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try expectEqual(0x2880, int(@as(i16, 1)));
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try expectEqual(0x838380, int(@as(u24, 1)));
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try expectEqual(0x42741D6, int(@as(u32, 1)));
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try expectEqual(0x42741D6, int(@as(i32, 1)));
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try expectEqual(0x71894DE00D9981F, int(@as(u64, 1)));
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try expectEqual(0x71894DE00D9981F, int(@as(i64, 1)));
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}
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test {
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_ = adler;
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_ = auto_hash;
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_ = crc;
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_ = fnv;
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_ = murmur;
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_ = cityhash;
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_ = wyhash;
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_ = xxhash;
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}
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