diff options
Diffstat (limited to 'lib/pure/random.nim')
-rw-r--r-- | lib/pure/random.nim | 133 |
1 files changed, 100 insertions, 33 deletions
diff --git a/lib/pure/random.nim b/lib/pure/random.nim index 27fbfad45..de419b9fb 100644 --- a/lib/pure/random.nim +++ b/lib/pure/random.nim @@ -7,16 +7,16 @@ # distribution, for details about the copyright. # -## Nim's standard random number generator. Based on the ``xoroshiro128+`` (xor/rotate/shift/rotate) library. +## Nim's standard random number generator. Based on +## the ``xoroshiro128+`` (xor/rotate/shift/rotate) library. ## * More information: http://xoroshiro.di.unimi.it/ ## * C implementation: http://xoroshiro.di.unimi.it/xoroshiro128plus.c ## -## Do not use this module for cryptographic use! +## **Do not use this module for cryptographic purposes!** include "system/inclrtl" {.push debugger:off.} -# XXX Expose RandomGenState when defined(JS): type ui = uint32 @@ -27,31 +27,34 @@ else: const randMax = 18_446_744_073_709_551_615u64 type - RandomGenState = object + Rand* = object ## State of the random number generator. + ## The procs that use the default state + ## are **not** thread-safe! a0, a1: ui when defined(JS): - var state = RandomGenState( + var state = Rand( a0: 0x69B4C98Cu32, a1: 0xFED1DD30u32) # global for backwards compatibility else: # racy for multi-threading but good enough for now: - var state = RandomGenState( + var state = Rand( a0: 0x69B4C98CB8530805u64, a1: 0xFED1DD3004688D67CAu64) # global for backwards compatibility proc rotl(x, k: ui): ui = result = (x shl k) or (x shr (ui(64) - k)) -proc next(s: var RandomGenState): uint64 = - let s0 = s.a0 - var s1 = s.a1 +proc next*(r: var Rand): uint64 = + ## Uses the state to compute a new ``uint64`` random number. + let s0 = r.a0 + var s1 = r.a1 result = s0 + s1 s1 = s1 xor s0 - s.a0 = rotl(s0, 55) xor s1 xor (s1 shl 14) # a, b - s.a1 = rotl(s1, 36) # c + r.a0 = rotl(s0, 55) xor s1 xor (s1 shl 14) # a, b + r.a1 = rotl(s1, 36) # c -proc skipRandomNumbers(s: var RandomGenState) = +proc skipRandomNumbers*(s: var Rand) = ## This is the jump function for the generator. It is equivalent ## to 2^64 calls to next(); it can be used to generate 2^64 ## non-overlapping subsequences for parallel computations. @@ -71,21 +74,23 @@ proc skipRandomNumbers(s: var RandomGenState) = s.a0 = s0 s.a1 = s1 -proc random*(max: int): int {.benign.} = +proc random*(max: int): int {.benign, deprecated.} = ## Returns a random number in the range 0..max-1. The sequence of ## random number is always the same, unless `randomize` is called ## which initializes the random number generator with a "random" - ## number, i.e. a tickcount. + ## number, i.e. a tickcount. **Deprecated since version 0.18.0**. + ## Use ``rand`` instead. while true: let x = next(state) if x < randMax - (randMax mod ui(max)): return int(x mod uint64(max)) -proc random*(max: float): float {.benign.} = +proc random*(max: float): float {.benign, deprecated.} = ## Returns a random number in the range 0..<max. The sequence of ## random number is always the same, unless `randomize` is called ## which initializes the random number generator with a "random" - ## number, i.e. a tickcount. + ## number, i.e. a tickcount. **Deprecated since version 0.18.0**. + ## Use ``rand`` instead. let x = next(state) when defined(JS): result = (float(x) / float(high(uint32))) * max @@ -93,38 +98,100 @@ proc random*(max: float): float {.benign.} = let u = (0x3FFu64 shl 52u64) or (x shr 12u64) result = (cast[float](u) - 1.0) * max -proc random*[T](x: Slice[T]): T = +proc random*[T](x: HSlice[T, T]): T {.deprecated.} = ## For a slice `a .. b` returns a value in the range `a .. b-1`. + ## **Deprecated since version 0.18.0**. + ## Use ``rand`` instead. result = T(random(x.b - x.a)) + x.a -proc random*[T](a: openArray[T]): T = +proc random*[T](a: openArray[T]): T {.deprecated.} = ## returns a random element from the openarray `a`. + ## **Deprecated since version 0.18.0**. + ## Use ``rand`` instead. result = a[random(a.low..a.len)] +proc rand*(r: var Rand; max: int): int {.benign.} = + ## Returns a random number in the range 0..max. The sequence of + ## random number is always the same, unless `randomize` is called + ## which initializes the random number generator with a "random" + ## number, i.e. a tickcount. + while true: + let x = next(r) + if x <= randMax - (randMax mod ui(max)): + return int(x mod (uint64(max)+1u64)) + +proc rand*(max: int): int {.benign.} = + ## Returns a random number in the range 0..max. The sequence of + ## random number is always the same, unless `randomize` is called + ## which initializes the random number generator with a "random" + ## number, i.e. a tickcount. + rand(state, max) + +proc rand*(r: var Rand; max: float): float {.benign.} = + ## Returns a random number in the range 0..max. The sequence of + ## random number is always the same, unless `randomize` is called + ## which initializes the random number generator with a "random" + ## number, i.e. a tickcount. + let x = next(r) + when defined(JS): + result = (float(x) / float(high(uint32))) * max + else: + let u = (0x3FFu64 shl 52u64) or (x shr 12u64) + result = (cast[float](u) - 1.0) * max + +proc rand*(max: float): float {.benign.} = + ## Returns a random number in the range 0..max. The sequence of + ## random number is always the same, unless `randomize` is called + ## which initializes the random number generator with a "random" + ## number, i.e. a tickcount. + rand(state, max) + +proc rand*[T](r: var Rand; x: HSlice[T, T]): T = + ## For a slice `a .. b` returns a value in the range `a .. b`. + result = T(rand(r, x.b - x.a)) + x.a + +proc rand*[T](x: HSlice[T, T]): T = + ## For a slice `a .. b` returns a value in the range `a .. b`. + result = rand(state, x) + +proc rand*[T](r: var Rand; a: openArray[T]): T = + ## returns a random element from the openarray `a`. + result = a[rand(r, a.low..a.high)] + +proc rand*[T](a: openArray[T]): T = + ## returns a random element from the openarray `a`. + result = a[rand(a.low..a.high)] + + +proc initRand*(seed: int64): Rand = + ## Creates a new ``Rand`` state from ``seed``. + result.a0 = ui(seed shr 16) + result.a1 = ui(seed and 0xffff) + discard next(result) + proc randomize*(seed: int64) {.benign.} = - ## Initializes the random number generator with a specific seed. - state.a0 = ui(seed shr 16) - state.a1 = ui(seed and 0xffff) - discard next(state) + ## Initializes the default random number generator + ## with a specific seed. + state = initRand(seed) -proc shuffle*[T](x: var openArray[T]) = - ## Will randomly swap the positions of elements in a sequence. +proc shuffle*[T](r: var Rand; x: var openArray[T]) = + ## Swaps the positions of elements in a sequence randomly. for i in countdown(x.high, 1): - let j = random(i + 1) + let j = r.rand(i) swap(x[i], x[j]) +proc shuffle*[T](x: var openArray[T]) = + ## Swaps the positions of elements in a sequence randomly. + shuffle(state, x) + when not defined(nimscript): import times proc randomize*() {.benign.} = ## Initializes the random number generator with a "random" ## number, i.e. a tickcount. Note: Does not work for NimScript. - when defined(JS): - proc getMil(t: Time): int {.importcpp: "getTime", nodecl.} - randomize(getMil times.getTime()) - else: - let time = int64(times.epochTime() * 1_000_000_000) - randomize(time) + let time = int64(times.epochTime() * 1_000_000_000) + randomize(time) {.pop.} @@ -134,12 +201,12 @@ when isMainModule: var x = 8234 for i in 0..100_000: - x = random(len(occur)) # myrand(x) + x = rand(high(occur)) inc occur[x] for i, oc in occur: if oc < 69: doAssert false, "too few occurrences of " & $i - elif oc > 130: + elif oc > 150: doAssert false, "too many occurrences of " & $i var a = [0, 1] |