# # # Nim's Runtime Library # (c) Copyright 2012 Andreas Rumpf # # See the file "copying.txt", included in this # distribution, for details about the copyright. # ## This module implements efficient computations of hash values for diverse ## Nim types. All the procs are based on these two building blocks: ## - `!& proc <#!&,Hash,int>`_ used to start or mix a hash value, and ## - `!$ proc <#!$,Hash>`_ used to *finish* the hash value. ## ## If you want to implement hash procs for your custom types, ## you will end up writing the following kind of skeleton of code: ## ## .. code-block:: Nim ## proc hash(x: Something): Hash = ## ## Computes a Hash from `x`. ## var h: Hash = 0 ## # Iterate over parts of `x`. ## for xAtom in x: ## # Mix the atom with the partial hash. ## h = h !& xAtom ## # Finish the hash. ## result = !$h ## ## If your custom types contain fields for which there already is a hash proc, ## like for example objects made up of ``strings``, you can simply hash ## together the hash value of the individual fields: ## ## .. code-block:: Nim ## proc hash(x: Something): Hash = ## ## Computes a Hash from `x`. ## var h: Hash = 0 ## h = h !& hash(x.foo) ## h = h !& hash(x.bar) ## result = !$h ## ## **See also:** ## * `md5 module `_ for MD5 checksum algorithm ## * `base64 module `_ for a base64 encoder and decoder ## * `std/sha1 module `_ for a sha1 encoder and decoder ## * `tables module `_ for hash tables import std/private/since type Hash* = int ## A hash value. Hash tables using these values should ## always have a size of a power of two and can use the ``and`` ## operator instead of ``mod`` for truncation of the hash value. proc `!&`*(h: Hash, val: int): Hash {.inline.} = ## Mixes a hash value `h` with `val` to produce a new hash value. ## ## This is only needed if you need to implement a hash proc for a new datatype. let h = cast[uint](h) let val = cast[uint](val) var res = h + val res = res + res shl 10 res = res xor (res shr 6) result = cast[Hash](res) proc `!$`*(h: Hash): Hash {.inline.} = ## Finishes the computation of the hash value. ## ## This is only needed if you need to implement a hash proc for a new datatype. let h = cast[uint](h) # Hash is practically unsigned. var res = h + h shl 3 res = res xor (res shr 11) res = res + res shl 15 result = cast[Hash](res) proc hiXorLoFallback64(a, b: uint64): uint64 {.inline.} = let # Fall back in 64-bit arithmetic aH = a shr 32 aL = a and 0xFFFFFFFF'u64 bH = b shr 32 bL = b and 0xFFFFFFFF'u64 rHH = aH * bH rHL = aH * bL rLH = aL * bH rLL = aL * bL t = rLL + (rHL shl 32) var c = if t < rLL: 1'u64 else: 0'u64 let lo = t + (rLH shl 32) c += (if lo < t: 1'u64 else: 0'u64) let hi = rHH + (rHL shr 32) + (rLH shr 32) + c return hi xor lo proc hiXorLo(a, b: uint64): uint64 {.inline.} = # Xor of high & low 8B of full 16B product when nimvm: result = hiXorLoFallback64(a, b) # `result =` is necessary here. else: when Hash.sizeof < 8: result = hiXorLoFallback64(a, b) elif defined(gcc) or defined(llvm_gcc) or defined(clang): {.emit: """__uint128_t r = `a`; r *= `b`; `result` = (r >> 64) ^ r;""".} elif defined(windows) and not defined(tcc): proc umul128(a, b: uint64, c: ptr uint64): uint64 {.importc: "_umul128", header: "intrin.h".} var b = b let c = umul128(a, b, addr b) result = c xor b else: result = hiXorLoFallback64(a, b) proc hashWangYi1*(x: int64|uint64|Hash): Hash {.inline.} = ## Wang Yi's hash_v1 for 8B int. https://github.com/rurban/smhasher has more ## details. This passed all scrambling tests in Spring 2019 and is simple. ## NOTE: It's ok to define ``proc(x: int16): Hash = hashWangYi1(Hash(x))``. const P0 = 0xa0761d6478bd642f'u64 const P1 = 0xe7037ed1a0b428db'u64 const P58 = 0xeb44accab455d165'u64 xor 8'u64 when nimvm: cast[Hash](hiXorLo(hiXorLo(P0, uint64(x) xor P1), P58)) else: when defined(js): asm """ if (typeof BigInt == 'undefined') { `result` = `x`; // For Node < 10.4, etc. we do the old identity hash } else { // Otherwise we match the low 32-bits of C/C++ hash function hi_xor_lo_js(a, b) { const prod = BigInt(a) * BigInt(b); const mask = (BigInt(1) << BigInt(64)) - BigInt(1); return (prod >> BigInt(64)) ^ (prod & mask); } const P0 = BigInt(0xa0761d64)< 0: h = h !& ord(p[i]) inc(i) dec(s) result = !$h when defined(js): var objectID = 0 proc hash*(x: pointer): Hash {.inline.} = ## Efficient hashing of pointers. when defined(js): asm """ if (typeof `x` == "object") { if ("_NimID" in `x`) `result` = `x`["_NimID"]; else { `result` = ++`objectID`; `x`["_NimID"] = `result`; } } """ else: result = cast[Hash](cast[uint](x) shr 3) # skip the alignment proc hash*[T: proc](x: T): Hash {.inline.} = ## Efficient hashing of proc vars. Closures are supported too. when T is "closure": result = hash(rawProc(x)) !& hash(rawEnv(x)) else: result = hash(pointer(x)) proc hashIdentity*[T: Ordinal|enum](x: T): Hash {.inline, since: (1, 3).} = ## The identity hash. I.e. ``hashIdentity(x) = x``. cast[Hash](ord(x)) when defined(nimIntHash1): proc hash*[T: Ordinal|enum](x: T): Hash {.inline.} = ## Efficient hashing of integers. cast[Hash](ord(x)) else: proc hash*[T: Ordinal|enum](x: T): Hash {.inline.} = ## Efficient hashing of integers. hashWangYi1(uint64(ord(x))) proc hash*(x: float): Hash {.inline.} = ## Efficient hashing of floats. var y = x + 0.0 # for denormalization result = hash(cast[ptr Hash](addr(y))[]) # Forward declarations before methods that hash containers. This allows # containers to contain other containers proc hash*[A](x: openArray[A]): Hash proc hash*[A](x: set[A]): Hash when defined(js): proc imul(a, b: uint32): uint32 = # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/imul let mask = 0xffff'u32 var aHi = (a shr 16) and mask aLo = a and mask bHi = (b shr 16) and mask bLo = b and mask result = (aLo * bLo) + (aHi * bLo + aLo * bHi) shl 16 else: template imul(a, b: uint32): untyped = a * b proc rotl32(x: uint32, r: int): uint32 {.inline.} = (x shl r) or (x shr (32 - r)) proc murmurHash(x: openArray[byte]): Hash = # https://github.com/PeterScott/murmur3/blob/master/murmur3.c const c1 = 0xcc9e2d51'u32 c2 = 0x1b873593'u32 n1 = 0xe6546b64'u32 m1 = 0x85ebca6b'u32 m2 = 0xc2b2ae35'u32 let size = len(x) stepSize = 4 # 32-bit n = size div stepSize var h1: uint32 i = 0 # body while i < n * stepSize: var k1: uint32 when defined(js) or defined(sparc) or defined(sparc64): var j = stepSize while j > 0: dec j k1 = (k1 shl 8) or (ord(x[i+j])).uint32 else: k1 = cast[ptr uint32](unsafeAddr x[i])[] inc i, stepSize k1 = imul(k1, c1) k1 = rotl32(k1, 15) k1 = imul(k1, c2) h1 = h1 xor k1 h1 = rotl32(h1, 13) h1 = h1*5 + n1 # tail var k1: uint32 var rem = size mod stepSize while rem > 0: dec rem k1 = (k1 shl 8) or (ord(x[i+rem])).uint32 k1 = imul(k1, c1) k1 = rotl32(k1, 15) k1 = imul(k1, c2) h1 = h1 xor k1 # finalization h1 = h1 xor size.uint32 h1 = h1 xor (h1 shr 16) h1 = imul(h1, m1) h1 = h1 xor (h1 shr 13) h1 = imul(h1, m2) h1 = h1 xor (h1 shr 16) return cast[Hash](h1) proc hashVmImpl(x: string, sPos, ePos: int): Hash = doAssert false, "implementation override in compiler/vmops.nim" proc hashVmImplChar(x: openArray[char], sPos, ePos: int): Hash = doAssert false, "implementation override in compiler/vmops.nim" proc hashVmImplByte(x: openArray[byte], sPos, ePos: int): Hash = doAssert false, "implementation override in compiler/vmops.nim" proc hash*(x: string): Hash = ## Efficient hashing of strings. ## ## See also: ## * `hashIgnoreStyle <#hashIgnoreStyle,string>`_ ## * `hashIgnoreCase <#hashIgnoreCase,string>`_ runnableExamples: doAssert hash("abracadabra") != hash("AbracadabrA") when not defined(nimToOpenArrayCString): result = 0 for c in x: result = result !& ord(c) result = !$result else: when nimvm: result = hashVmImpl(x, 0, high(x)) else: result = murmurHash(toOpenArrayByte(x, 0, high(x))) proc hash*(x: cstring): Hash = ## Efficient hashing of null-terminated strings. runnableExamples: doAssert hash(cstring"abracadabra") == hash("abracadabra") doAssert hash(cstring"AbracadabrA") == hash("AbracadabrA") doAssert hash(cstring"abracadabra") != hash(cstring"AbracadabrA") when not defined(nimToOpenArrayCString): result = 0 var i = 0 while x[i] != '\0': result = result !& ord(x[i]) inc i result = !$result else: when not defined(js) and defined(nimToOpenArrayCString): murmurHash(toOpenArrayByte(x, 0, x.high)) else: let xx = $x murmurHash(toOpenArrayByte(xx, 0, high(xx))) proc hash*(sBuf: string, sPos, ePos: int): Hash = ## Efficient hashing of a string buffer, from starting ## position `sPos` to ending position `ePos` (included). ## ## ``hash(myStr, 0, myStr.high)`` is equivalent to ``hash(myStr)``. runnableExamples: var a = "abracadabra" doAssert hash(a, 0, 3) == hash(a, 7, 10) when not defined(nimToOpenArrayCString): result = 0 for i in sPos..ePos: result = result !& ord(sBuf[i]) result = !$result else: murmurHash(toOpenArrayByte(sBuf, sPos, ePos)) proc hashIgnoreStyle*(x: string): Hash = ## Efficient hashing of strings; style is ignored. ## ## **Note:** This uses different hashing algorithm than `hash(string)`. ## ## See also: ## * `hashIgnoreCase <#hashIgnoreCase,string>`_ runnableExamples: doAssert hashIgnoreStyle("aBr_aCa_dAB_ra") == hashIgnoreStyle("abracadabra") doAssert hashIgnoreStyle("abcdefghi") != hash("abcdefghi") var h: Hash = 0 var i = 0 let xLen = x.len while i < xLen: var c = x[i] if c == '_': inc(i) else: if c in {'A'..'Z'}: c = chr(ord(c) + (ord('a') - ord('A'))) # toLower() h = h !& ord(c) inc(i) result = !$h proc hashIgnoreStyle*(sBuf: string, sPos, ePos: int): Hash = ## Efficient hashing of a string buffer, from starting ## position `sPos` to ending position `ePos` (included); style is ignored. ## ## **Note:** This uses different hashing algorithm than `hash(string)`. ## ## ``hashIgnoreStyle(myBuf, 0, myBuf.high)`` is equivalent ## to ``hashIgnoreStyle(myBuf)``. runnableExamples: var a = "ABracada_b_r_a" doAssert hashIgnoreStyle(a, 0, 3) == hashIgnoreStyle(a, 7, a.high) var h: Hash = 0 var i = sPos while i <= ePos: var c = sBuf[i] if c == '_': inc(i) else: if c in {'A'..'Z'}: c = chr(ord(c) + (ord('a') - ord('A'))) # toLower() h = h !& ord(c) inc(i) result = !$h proc hashIgnoreCase*(x: string): Hash = ## Efficient hashing of strings; case is ignored. ## ## **Note:** This uses different hashing algorithm than `hash(string)`. ## ## See also: ## * `hashIgnoreStyle <#hashIgnoreStyle,string>`_ runnableExamples: doAssert hashIgnoreCase("ABRAcaDABRA") == hashIgnoreCase("abRACAdabra") doAssert hashIgnoreCase("abcdefghi") != hash("abcdefghi") var h: Hash = 0 for i in 0..x.len-1: var c = x[i] if c in {'A'..'Z'}: c = chr(ord(c) + (ord('a') - ord('A'))) # toLower() h = h !& ord(c) result = !$h proc hashIgnoreCase*(sBuf: string, sPos, ePos: int): Hash = ## Efficient hashing of a string buffer, from starting ## position `sPos` to ending position `ePos` (included); case is ignored. ## ## **Note:** This uses different hashing algorithm than `hash(string)`. ## ## ``hashIgnoreCase(myBuf, 0, myBuf.high)`` is equivalent ## to ``hashIgnoreCase(myBuf)``. runnableExamples: var a = "ABracadabRA" doAssert hashIgnoreCase(a, 0, 3) == hashIgnoreCase(a, 7, 10) var h: Hash = 0 for i in sPos..ePos: var c = sBuf[i] if c in {'A'..'Z'}: c = chr(ord(c) + (ord('a') - ord('A'))) # toLower() h = h !& ord(c) result = !$h proc hash*[T: tuple](x: T): Hash = ## Efficient hashing of tuples. for f in fields(x): result = result !& hash(f) result = !$result proc hash*[A](x: openArray[A]): Hash = ## Efficient hashing of arrays and sequences. when A is byte: result = murmurHash(x) elif A is char: when nimvm: result = hashVmImplChar(x, 0, x.high) else: result = murmurHash(toOpenArrayByte(x, 0, x.high)) else: for a in x: result = result !& hash(a) result = !$result proc hash*[A](aBuf: openArray[A], sPos, ePos: int): Hash = ## Efficient hashing of portions of arrays and sequences, from starting ## position `sPos` to ending position `ePos` (included). ## ## ``hash(myBuf, 0, myBuf.high)`` is equivalent to ``hash(myBuf)``. runnableExamples: let a = [1, 2, 5, 1, 2, 6] doAssert hash(a, 0, 1) == hash(a, 3, 4) when A is byte: when nimvm: result = hashVmImplByte(aBuf, sPos, ePos) else: result = murmurHash(toOpenArray(aBuf, sPos, ePos)) elif A is char: when nimvm: result = hashVmImplChar(aBuf, sPos, ePos) else: result = murmurHash(toOpenArrayByte(aBuf, sPos, ePos)) else: for i in sPos .. ePos: result = result !& hash(aBuf[i]) result = !$result proc hash*[A](x: set[A]): Hash = ## Efficient hashing of sets. for it in items(x): result = result !& hash(it) result = !$result when isMainModule: block empty: var a = "" b = newSeq[char]() c = newSeq[int]() d = cstring"" e = "abcd" doAssert hash(a) == 0 doAssert hash(b) == 0 doAssert hash(c) == 0 doAssert hash(d) == 0 doAssert hashIgnoreCase(a) == 0 doAssert hashIgnoreStyle(a) == 0 doAssert hash(e, 3, 2) == 0 block sameButDifferent: doAssert hash("aa bb aaaa1234") == hash("aa bb aaaa1234", 0, 13) doAssert hash("aa bb aaaa1234") == hash(cstring"aa bb aaaa1234") doAssert hashIgnoreCase("aA bb aAAa1234") == hashIgnoreCase("aa bb aaaa1234") doAssert hashIgnoreStyle("aa_bb_AAaa1234") == hashIgnoreCase("aaBBAAAa1234") block smallSize: # no multibyte hashing let xx = @['H', 'i'] ii = @[72'u8, 105] ss = "Hi" doAssert hash(xx) == hash(ii) doAssert hash(xx) == hash(ss) doAssert hash(xx) == hash(xx, 0, xx.high) doAssert hash(ss) == hash(ss, 0, ss.high) block largeSize: # longer than 4 characters let xx = @['H', 'e', 'l', 'l', 'o'] xxl = @['H', 'e', 'l', 'l', 'o', 'w', 'e', 'e', 'n', 's'] ssl = "Helloweens" doAssert hash(xxl) == hash(ssl) doAssert hash(xxl) == hash(xxl, 0, xxl.high) doAssert hash(ssl) == hash(ssl, 0, ssl.high) doAssert hash(xx) == hash(xxl, 0, 4) doAssert hash(xx) == hash(ssl, 0, 4) doAssert hash(xx, 0, 3) == hash(xxl, 0, 3) doAssert hash(xx, 0, 3) == hash(ssl, 0, 3)