# # # Nim's Runtime Library # (c) Copyright 2017 Andreas Rumpf # # See the file "copying.txt", included in this # distribution, for details about the copyright. # ## 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! include "system/inclrtl" {.push debugger:off.} # XXX Expose RandomGenState when defined(JS): type ui = uint32 const randMax = 4_294_967_295u32 else: type ui = uint64 const randMax = 18_446_744_073_709_551_615u64 type RandomGenState = object a0, a1: ui when defined(JS): var state = RandomGenState( a0: 0x69B4C98Cu32, a1: 0xFED1DD30u32) # global for backwards compatibility else: # racy for multi-threading but good enough for now: var state = RandomGenState( 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 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 proc skipRandomNumbers(s: var RandomGenState) = ## 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. when defined(JS): const helper = [0xbeac0467u32, 0xd86b048bu32] else: const helper = [0xbeac0467eba5facbu64, 0xd86b048b86aa9922u64] var s0 = ui 0 s1 = ui 0 for i in 0..high(helper): for b in 0..< 64: if (helper[i] and (ui(1) shl ui(b))) != 0: s0 = s0 xor s.a0 s1 = s1 xor s.a1 discard next(s) s.a0 = s0 s.a1 = s1 proc random*(max: int): int {.benign.} = ## 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. 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.} = ## Returns a random number in the range 0.. 130: doAssert false, "too many occurrences of " & $i var a = [0, 1] shuffle(a) doAssert a[0] == 1 doAssert a[1] == 0 main()