# # # 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 <#!$,Hash>`_ used to finish the hash value. ## ## If you want to implement hash procs for your custom types, ## you will end up writing the following kind of skeleton of code: runnableExamples: type Something = object foo: int bar: string iterator items(x: Something): Hash = yield hash(x.foo) yield hash(x.bar) proc hash(x: Something): Hash = ## Computes a Hash from `x`. var h: Hash = 0 # Iterate over parts of `x`. for xAtom in x: # Mix the atom with the partial hash. h = h !& xAtom # Finish the hash. result = !$h ## If your custom types contain fields for which there already is a `hash` proc, ## you can simply hash together the hash values of the individual fields: runnableExamples: type Something = object foo: int bar: string 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 = !$h ## .. important:: Use `-d:nimPreviewHashRef` to ## enable hashing `ref`s. It is expected that this behavior ## becomes the new default in upcoming versions. ## ## .. note:: If the type has a `==` operator, the following must hold: ## If two values compare equal, their hashes must also be equal. ## ## See also ## ======== ## * `md5 module `_ for the MD5 checksum algorithm ## * `base64 module `_ for a Base64 encoder and decoder ## * `sha1 module `_ for the SHA-1 checksum algorithm ## * `tables module `_ for hash tables import std/private/since when defined(nimPreviewSlimSystem): import std/assertions type Hash* = int ## A hash value. Hash tables using these values should ## always have a size of a power of two so they can use the `and` ## operator instead of `mod` for truncation of the hash value. proc `!&`*(h: Hash, val: int): Hash {.inline.} = ## Mixes a hash value `h` with `val` to produce a new hash value. ## ## This is only needed if you need to implement a `hash` proc for a new datatype. let h = cast[uint](h) let val = cast[uint](val) var res = h + val res = res + res shl 10 res = res xor (res shr 6) result = cast[Hash](res) proc `!$`*(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 the high & low 8 bytes of the full 16 byte 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) when defined(js): import std/jsbigints import std/private/jsutils proc hiXorLoJs(a, b: JsBigInt): JsBigInt = let prod = a * b mask = big"0xffffffffffffffff" # (big"1" shl big"64") - big"1" result = (prod shr big"64") xor (prod and mask) template hashWangYiJS(x: JsBigInt): Hash = let P0 = big"0xa0761d6478bd642f" P1 = big"0xe7037ed1a0b428db" P58 = big"0xeb44accab455d16d" # big"0xeb44accab455d165" xor big"8" res = hiXorLoJs(hiXorLoJs(P0, x xor P1), P58) cast[Hash](toNumber(wrapToInt(res, 32))) template toBits(num: float): JsBigInt = let x = newArrayBuffer(8) y = newFloat64Array(x) if hasBigUint64Array(): let z = newBigUint64Array(x) y[0] = num z[0] else: let z = newUint32Array(x) y[0] = num big(z[0]) + big(z[1]) shl big(32) proc hashWangYi1*(x: int64|uint64|Hash): Hash {.inline.} = ## Wang Yi's hash_v1 for 64-bit ints (see https://github.com/rurban/smhasher for ## 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 template h(x): untyped = hiXorLo(hiXorLo(P0, uint64(x) xor P1), P58) when nimvm: when defined(js): # Nim int64<->JS Number & VM match => JS gets 32-bit hash result = cast[Hash](h(x)) and cast[Hash](0xFFFFFFFF) else: result = cast[Hash](h(x)) else: when defined(js): if hasJsBigInt(): result = hashWangYiJS(big(x)) else: result = cast[Hash](x) and cast[Hash](0xFFFFFFFF) else: result = cast[Hash](h(x)) proc hashData*(data: pointer, size: int): Hash = ## Hashes an array of bytes of size `size`. var h: Hash = 0 when defined(js): var p: cstring {.emit: """`p` = `Data`;""".} else: var p = cast[cstring](data) var i = 0 var s = size while s > 0: h = h !& ord(p[i]) inc(i) dec(s) result = !$h 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))) when defined(js): var objectID = 0 proc getObjectId(x: pointer): int = {.emit: """ if (typeof `x` == "object") { if ("_NimID" in `x`) `result` = `x`["_NimID"]; else { `result` = ++`objectID`; `x`["_NimID"] = `result`; } } """.} proc hash*(x: pointer): Hash {.inline.} = ## Efficient `hash` overload. when defined(js): let y = getObjectId(x) else: let y = cast[int](x) hash(y) # consistent with code expecting scrambled hashes depending on `nimIntHash1`. proc hash*[T](x: ptr[T]): Hash {.inline.} = ## Efficient `hash` overload. runnableExamples: var a: array[10, uint8] assert a[0].addr.hash != a[1].addr.hash assert cast[pointer](a[0].addr).hash == a[0].addr.hash hash(cast[pointer](x)) when defined(nimPreviewHashRef) or defined(nimdoc): proc hash*[T](x: ref[T]): Hash {.inline.} = ## Efficient `hash` overload. ## ## .. important:: Use `-d:nimPreviewHashRef` to ## enable hashing `ref`s. It is expected that this behavior ## becomes the new default in upcoming versions. runnableExamples("-d:nimPreviewHashRef"): type A = ref object x: int let a = A(x: 3) let ha = a.hash assert ha != A(x: 3).hash # A(x: 3) is a different ref object from `a`. a.x = 4 assert ha == a.hash # the hash only depends on the address runnableExamples("-d:nimPreviewHashRef"): # you can overload `hash` if you want to customize semantics type A[T] = ref object x, y: T proc hash(a: A): Hash = hash(a.x) assert A[int](x: 3, y: 4).hash == A[int](x: 3, y: 5).hash # xxx pending bug #17733, merge as `proc hash*(pointer | ref | ptr): Hash` # or `proc hash*[T: ref | ptr](x: T): Hash` hash(cast[pointer](x)) proc hash*(x: float): Hash {.inline.} = ## Efficient hashing of floats. let y = x + 0.0 # for denormalization when nimvm: # workaround a JS VM bug: bug #16547 result = hashWangYi1(cast[int64](float64(y))) else: when not defined(js): result = hashWangYi1(cast[Hash](y)) else: result = hashWangYiJS(toBits(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 template impl = var j = stepSize while j > 0: dec j k1 = (k1 shl 8) or (ord(x[i+j])).uint32 # body while i < n * stepSize: var k1: uint32 when nimvm: impl() else: when declared(copyMem): copyMem(addr k1, addr x[i], 4) else: impl() 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: cstring, sPos, ePos: int): Hash = raiseAssert "implementation override in compiler/vmops.nim" proc hashVmImpl(x: string, sPos, ePos: int): Hash = raiseAssert "implementation override in compiler/vmops.nim" proc hashVmImplChar(x: openArray[char], sPos, ePos: int): Hash = raiseAssert "implementation override in compiler/vmops.nim" proc hashVmImplByte(x: openArray[byte], sPos, ePos: int): Hash = raiseAssert "implementation override in compiler/vmops.nim" const k0 = 0xc3a5c85c97cb3127u64 # Primes on (2^63, 2^64) for various uses const k1 = 0xb492b66fbe98f273u64 const k2 = 0x9ae16a3b2f90404fu64 proc load4e(s: openArray[byte], o=0): uint32 {.inline.} = uint32(s[o + 3]) shl 24 or uint32(s[o + 2]) shl 16 or uint32(s[o + 1]) shl 8 or uint32(s[o + 0]) proc load8e(s: openArray[byte], o=0): uint64 {.inline.} = uint64(s[o + 7]) shl 56 or uint64(s[o + 6]) shl 48 or uint64(s[o + 5]) shl 40 or uint64(s[o + 4]) shl 32 or uint64(s[o + 3]) shl 24 or uint64(s[o + 2]) shl 16 or uint64(s[o + 1]) shl 8 or uint64(s[o + 0]) proc load4(s: openArray[byte], o=0): uint32 {.inline.} = when nimvm: result = load4e(s, o) else: when declared copyMem: copyMem result.addr, s[o].addr, result.sizeof else: result = load4e(s, o) proc load8(s: openArray[byte], o=0): uint64 {.inline.} = when nimvm: result = load8e(s, o) else: when declared copyMem: copyMem result.addr, s[o].addr, result.sizeof else: result = load8e(s, o) proc lenU(s: openArray[byte]): uint64 {.inline.} = s.len.uint64 proc shiftMix(v: uint64): uint64 {.inline.} = v xor (v shr 47) proc rotR(v: uint64; bits: cint): uint64 {.inline.} = (v shr bits) or (v shl (64 - bits)) proc len16(u: uint64; v: uint64; mul: uint64): uint64 {.inline.} = var a = (u xor v)*mul a = a xor (a shr 47) var b = (v xor a)*mul b = b xor (b shr 47) b*mul proc len0_16(s: openArray[byte]): uint64 {.inline.} = if s.len >= 8: let mul = k2 + 2*s.lenU let a = load8(s) + k2 let b = load8(s, s.len - 8) let c = rotR(b, 37)*mul + a let d = (rotR(a, 25) + b)*mul len16 c, d, mul elif s.len >= 4: let mul = k2 + 2*s.lenU let a = load4(s).uint64 len16 s.lenU + (a shl 3), load4(s, s.len - 4), mul elif s.len > 0: let a = uint32(s[0]) let b = uint32(s[s.len shr 1]) let c = uint32(s[s.len - 1]) let y = a + (b shl 8) let z = s.lenU + (c shl 2) shiftMix(y*k2 xor z*k0)*k2 else: k2 # s.len == 0 proc len17_32(s: openArray[byte]): uint64 {.inline.} = let mul = k2 + 2*s.lenU let a = load8(s)*k1 let b = load8(s, 8) let c = load8(s, s.len - 8)*mul let d = load8(s, s.len - 16)*k2 len16 rotR(a + b, 43) + rotR(c, 30) + d, a + rotR(b + k2, 18) + c, mul proc len33_64(s: openArray[byte]): uint64 {.inline.} = let mul = k2 + 2*s.lenU let a = load8(s)*k2 let b = load8(s, 8) let c = load8(s, s.len - 8)*mul let d = load8(s, s.len - 16)*k2 let y = rotR(a + b, 43) + rotR(c, 30) + d let z = len16(y, a + rotR(b + k2, 18) + c, mul) let e = load8(s, 16)*mul let f = load8(s, 24) let g = (y + load8(s, s.len - 32))*mul let h = (z + load8(s, s.len - 24))*mul len16 rotR(e + f, 43) + rotR(g, 30) + h, e + rotR(f + a, 18) + g, mul type Pair = tuple[first, second: uint64] proc weakLen32withSeeds2(w, x, y, z, a, b: uint64): Pair {.inline.} = var a = a + w var b = rotR(b + a + z, 21) let c = a a += x a += y b += rotR(a, 44) result[0] = a + z result[1] = b + c proc weakLen32withSeeds(s: openArray[byte]; o: int; a,b: uint64): Pair {.inline.} = weakLen32withSeeds2 load8(s, o ), load8(s, o + 8), load8(s, o + 16), load8(s, o + 24), a, b proc hashFarm(s: openArray[byte]): uint64 {.inline.} = if s.len <= 16: return len0_16(s) if s.len <= 32: return len17_32(s) if s.len <= 64: return len33_64(s) const seed = 81u64 # not const to use input `h` var o = 0 # s[] ptr arith -> variable origin variable `o` x = seed y = seed*k1 + 113 z = shiftMix(y*k2 + 113)*k2 v, w: Pair x = x*k2 + load8(s) let eos = ((s.len - 1) div 64)*64 let last64 = eos + ((s.len - 1) and 63) - 63 while true: x = rotR(x + y + v[0] + load8(s, o+8), 37)*k1 y = rotR(y + v[1] + load8(s, o+48), 42)*k1 x = x xor w[1] y += v[0] + load8(s, o+40) z = rotR(z + w[0], 33)*k1 v = weakLen32withSeeds(s, o+0 , v[1]*k1, x + w[0]) w = weakLen32withSeeds(s, o+32, z + w[1], y + load8(s, o+16)) swap z, x inc o, 64 if o == eos: break let mul = k1 + ((z and 0xff) shl 1) o = last64 w[0] += (s.lenU - 1) and 63 v[0] += w[0] w[0] += v[0] x = rotR(x + y + v[0] + load8(s, o+8), 37)*mul y = rotR(y + v[1] + load8(s, o+48), 42)*mul x = x xor w[1]*9 y += v[0]*9 + load8(s, o+40) z = rotR(z + w[0], 33)*mul v = weakLen32withSeeds(s, o+0 , v[1]*mul, x + w[0]) w = weakLen32withSeeds(s, o+32, z + w[1], y + load8(s, o+16)) swap z, x len16 len16(v[0],w[0],mul) + shiftMix(y)*k0 + z, len16(v[1],w[1],mul) + x, mul template jsNoInt64: untyped = when defined js: when compiles(compileOption("jsbigint64")): when not compileOption("jsbigint64"): true else: false else: false else: false const sHash2 = (when defined(nimStringHash2) or jsNoInt64(): true else: false) template maybeFailJS_Number = when jsNoInt64() and not defined(nimStringHash2): {.error: "Must use `-d:nimStringHash2` when using `--jsbigint64:off`".} proc hash*(x: string): Hash = ## Efficient hashing of strings. ## ## **See also:** ## * `hashIgnoreStyle <#hashIgnoreStyle,string>`_ ## * `hashIgnoreCase <#hashIgnoreCase,string>`_ runnableExamples: doAssert hash("abracadabra") != hash("AbracadabrA") maybeFailJS_Number() when not sHash2: result = cast[Hash](hashFarm(toOpenArrayByte(x, 0, x.high))) else: #when nimvm: # result = hashVmImpl(x, 0, high(x)) when true: 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") maybeFailJS_Number() when not sHash2: when defined js: let xx = $x result = cast[Hash](hashFarm(toOpenArrayByte(xx, 0, xx.high))) else: result = cast[Hash](hashFarm(toOpenArrayByte(x, 0, x.high))) else: #when nimvm: # result = hashVmImpl(x, 0, high(x)) when true: when not defined(js): result = murmurHash(toOpenArrayByte(x, 0, x.high)) else: let xx = $x result = murmurHash(toOpenArrayByte(xx, 0, high(xx))) proc hash*(sBuf: string, sPos, ePos: int): Hash = ## Efficient hashing of a string buffer, from starting ## position `sPos` to ending position `ePos` (included). ## ## `hash(myStr, 0, myStr.high)` is equivalent to `hash(myStr)`. runnableExamples: var a = "abracadabra" doAssert hash(a, 0, 3) == hash(a, 7, 10) maybeFailJS_Number() when not sHash2: result = cast[Hash](hashFarm(toOpenArrayByte(sBuf, sPos, ePos))) else: murmurHash(toOpenArrayByte(sBuf, sPos, ePos)) proc hashIgnoreStyle*(x: string): Hash = ## Efficient hashing of strings; style is ignored. ## ## **Note:** This uses a different hashing algorithm than `hash(string)`. ## ## **See also:** ## * `hashIgnoreCase <#hashIgnoreCase,string>`_ runnableExamples: doAssert hashIgnoreStyle("aBr_aCa_dAB_ra") == hashIgnoreStyle("abracadabra") doAssert hashIgnoreStyle("abcdefghi") != hash("abcdefghi") var h: Hash = 0 var i = 0 let xLen = x.len while i < xLen: var c = x[i] if c == '_': inc(i) else: if c in {'A'..'Z'}: c = chr(ord(c) + (ord('a') - ord('A'))) # toLower() h = h !& ord(c) inc(i) result = !$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 a 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 = !$h proc hashIgnoreCase*(x: string): Hash = ## Efficient hashing of strings; case is ignored. ## ## **Note:** This uses a different hashing algorithm than `hash(string)`. ## ## **See also:** ## * `hashIgnoreStyle <#hashIgnoreStyle,string>`_ runnableExamples: doAssert hashIgnoreCase("ABRAcaDABRA") == hashIgnoreCase("abRACAdabra") doAssert hashIgnoreCase("abcdefghi") != hash("abcdefghi") var h: Hash = 0 for i in 0..x.len-1: var c = x[i] if c in {'A'..'Z'}: c = chr(ord(c) + (ord('a') - ord('A'))) # toLower() h = h !& ord(c) result = !$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 a 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 = !$h proc hash*[T: tuple | object | proc | iterator {.closure.}](x: T): Hash = ## Efficient `hash` overload. runnableExamples: # for `tuple|object`, `hash` must be defined for each component of `x`. type Obj = object x: int y: string type Obj2[T] = object x: int y: string assert hash(Obj(x: 520, y: "Nim")) != hash(Obj(x: 520, y: "Nim2")) # you can define custom hashes for objects (even if they're generic): proc hash(a: Obj2): Hash = hash((a.x)) assert hash(Obj2[float](x: 520, y: "Nim")) == hash(Obj2[float](x: 520, y: "Nim2")) runnableExamples: # proc proc fn1() = discard const fn1b = fn1 assert hash(fn1b) == hash(fn1) # closure proc outer = var a = 0 proc fn2() = a.inc assert fn2 is "closure" let fn2b = fn2 assert hash(fn2b) == hash(fn2) assert hash(fn2) != hash(fn1) outer() when T is "closure": result = hash((rawProc(x), rawEnv(x))) elif T is (proc): result = hash(cast[pointer](x)) else: result = 0 for f in fields(x): result = result !& hash(f) result = !$result proc hash*[A](x: openArray[A]): Hash = ## Efficient hashing of arrays and sequences. ## There must be a `hash` proc defined for the element type `A`. when A is byte: when not sHash2: result = cast[Hash](hashFarm(x)) else: result = murmurHash(x) elif A is char: when not sHash2: result = cast[Hash](hashFarm(toOpenArrayByte(x, 0, x.high))) else: #when nimvm: # result = hashVmImplChar(x, 0, x.high) when true: result = murmurHash(toOpenArrayByte(x, 0, x.high)) else: result = 0 for a in x: result = result !& hash(a) result = !$result proc hash*[A](aBuf: openArray[A], sPos, ePos: int): Hash = ## Efficient hashing of portions of arrays and sequences, from starting ## position `sPos` to ending position `ePos` (included). ## There must be a `hash` proc defined for the element type `A`. ## ## `hash(myBuf, 0, myBuf.high)` is equivalent to `hash(myBuf)`. runnableExamples: let a = [1, 2, 5, 1, 2, 6] doAssert hash(a, 0, 1) == hash(a, 3, 4) when A is byte: maybeFailJS_Number() when not sHash2: result = cast[Hash](hashFarm(toOpenArray(aBuf, sPos, ePos))) else: #when nimvm: # result = hashVmImplByte(aBuf, sPos, ePos) when true: result = murmurHash(toOpenArray(aBuf, sPos, ePos)) elif A is char: maybeFailJS_Number() when not sHash2: result = cast[Hash](hashFarm(toOpenArrayByte(aBuf, sPos, ePos))) else: #when nimvm: # result = hashVmImplChar(aBuf, sPos, ePos) when true: result = murmurHash(toOpenArrayByte(aBuf, sPos, ePos)) else: for i in sPos .. ePos: result = result !& hash(aBuf[i]) result = !$result proc hash*[A](x: set[A]): Hash = ## Efficient hashing of sets. ## There must be a `hash` proc defined for the element type `A`. result = 0 for it in items(x): result = result !& hash(it) result = !$result