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			fastrand
		
	
	| Author | SHA1 | Date | |
|---|---|---|---|
| 
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					f2e0698608 | ||
| cade17a9a6 | |||
| 
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					94c4240d63 | ||
| 37991656b9 | 
@@ -4,6 +4,7 @@ This tool calculates probable outcomes for the board game CamelUp.
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It can calculate all possible outcomes for a single game leg in about 5ms, so effectively instantaneously.
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Full-game calculations take a little bit longer and are not exact (since it isn't practical to simulate all possible full game states.)
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However it can easily simulate a million random games in about 80ms in the worst case, which should provide estimates accurate to within about 0.2%.
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(Numbers from running on a Ryzen 3700X.)
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```
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Usage: 
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@@ -1,5 +1,5 @@
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import algorithm, random, sugar
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import fixedseq, game
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import fastrand, fixedseq, game
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proc nextPermutation(x: var FixedSeq): bool =
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@@ -93,4 +93,4 @@ proc randomFuture*(dice: FixedSeq, r: var Rand): FixedSeq[5, Die, int8] =
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  result.initFixedSeq
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  let order = dice.dup(shuffle(r))
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  for i, color in order:
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    result.add((color, r.rand(1..3)))
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    result.add((color, r.fastRand(1..3)))
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										5
									
								
								config.nims
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										5
									
								
								config.nims
									
									
									
									
									
										Normal file
									
								
							@@ -0,0 +1,5 @@
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--threads: on
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--d: release
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--opt: speed
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--passC: -flto
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--passL: -flto
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										11
									
								
								cup.nim
									
									
									
									
									
								
							
							
						
						
									
										11
									
								
								cup.nim
									
									
									
									
									
								
							@@ -1,5 +1,4 @@
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import math, options, sequtils, random, sets
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import combinators, game, fixedseq, simulation, ui
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import game, simulation, ui
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when isMainModule:
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@@ -8,11 +7,11 @@ when isMainModule:
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  b.init
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  b.setState(config.state, [])
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  b.diceRolled = config.diceRolled
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  b.display(1, 5)
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  echo b.showSpaces(1, 16)
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  let legScores = b.getLegScores
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  echo "Current leg probabilities:"
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  legScores.display
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  echo "\nCurrent leg probabilities:"
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  echo legScores.showPercents()
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  let gameScores = b.randomGames(1_000_000)
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  echo "\nFull game probabilities (1M simulations):"
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  gameScores.display
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  echo gameScores.showPercents()
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										74
									
								
								fastrand.nim
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										74
									
								
								fastrand.nim
									
									
									
									
									
										Normal file
									
								
							@@ -0,0 +1,74 @@
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import random, math
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import times, std/monotimes, strformat, strutils
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proc formatNum(n: SomeNumber): string =
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  let s = $(n.round)
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  let t = s[0 .. s.len - 3]
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  var count = 1
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  for i in countdown(t.high, 0):
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    result.insert($t[i], 0)
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    if count mod 3 == 0 and i != 0:
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      result.insert(",", 0)
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    count += 1
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proc formatRate(n: Natural, d: Duration): string =
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  result = formatNum(1_000_000'f64 * n.float64 / d.inMicroseconds.float64)
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const upperBound = uint64(uint32.high)
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proc fastRand*[T: Natural](r: var Rand, x: T): T =
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  # Nim ranges are usually inclusive, but this algorithm is exclusive
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  let x = x.uint64 + 1
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  let num = if x <= upperBound:
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    ((r.next shr 32) * x.uint64) shr 32
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  else:
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    r.next mod x.uint64
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  result = T(num)
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proc fastRand*(r: var Rand; x, y: Natural): Natural =
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  let lim = (y - x)
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  result = fastRand(r, lim) + x
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proc fastRand*[T](r: var Rand, slice: HSlice[T, T]): T =
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  let n = fastRand(r, slice.a.Natural, slice.b.Natural)
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  result = T(n)
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proc testFastRand(num = 1_000_000_000): Duration =
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  var r = initRand(rand(int64))
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  let start = getMonoTime()
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  for i in 1 .. num:
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    discard r.fastRand(5)
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  result = getMonoTime() - start
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  # echo "fastrand execution rate: ",  1000 * num / dur.inMilliseconds.int, " generated per second."
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proc testStdRand(num = 1_000_000_000): Duration =
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  var r = initRand(rand(int64))
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  let start = getMonoTime()
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  for i in 1 .. num:
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    discard r.rand(4)
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  result = getMonoTime() - start
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  # echo "std rand execution rate: ", 1000 * num / dur.inMilliseconds.int, " generated per second."
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when isMainModule:
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  randomize()
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  var r = initRand(rand(int64))
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  let runs = 100_000_000
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  var totals: array[5..9, int]
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  for i in 1 .. runs:
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    let n = r.fastRand(5..9)
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    totals[n] += 1
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  echo totals
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  # let fr = testFastRand(runs)
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  # echo "fastrand execution rate: ", formatNum(1_000_000 * runs / fr.inMicroseconds.int)
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  # let sr = testStdRand(runs)
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  # echo "standard execution rate: ", formatNum(1_000_000 * runs / sr.inMicroseconds.int)
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										70
									
								
								test.nim
									
									
									
									
									
								
							
							
						
						
									
										70
									
								
								test.nim
									
									
									
									
									
								
							@@ -1,7 +1,32 @@
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import math, random, strformat, times
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import math, random, strformat, times, std/monotimes
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import fixedseq, game, simulation, ui
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type
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  TestResults = object
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    ops: int
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    time: Duration
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proc summarize(tr: TestResults) =
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  let secs = tr.time.inMilliseconds.float / 1000
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  stdout.write("Test completed:\n")
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  stdout.write("  " & $tr.ops, " operations in " & $round(secs, 2) & " seconds\n")
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  stdout.write("  " & $round(tr.ops.float / secs, 2) & " operations per second")
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  stdout.flushFile()
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template executionTime(body: untyped): Duration =
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  let start = getMonoTime()
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  body
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  getMonoTime() - start
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proc getRand(): Rand =
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  randomize()
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  result = initRand(rand(int64))
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proc randomDice(r: var Rand): seq[tuple[c: Color, p: int]] = 
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  for c in Color:
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    let v = r.rand(1..3)
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@@ -18,18 +43,15 @@ proc newRandomGame(r: var Rand): Board =
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  result.setState(dice, [])
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proc testGames(n: SomeInteger = 100): auto =
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  var r = initRand(rand(int64))
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  let dice = randomDice(r)
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  var b: Board
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  b.init
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  b.setState(dice, [])
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  b.display(1, 5)
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  let startTime = cpuTime()
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  let scores = b.randomGames(n)
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  result = cpuTime() - startTime
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  scores.display()
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proc games(nTests, nSamples: SomeInteger, parallel = true): TestResults =
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  var r = getRand()
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  var scores: ScoreSet
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  for i in 1 .. nTests:
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    let b = newRandomGame(r)
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    let dur = executionTime:
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        let s = b.randomGames(nSamples, parallel = parallel)
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    result.ops += s.sum()
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    result.time += dur
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proc testLegs(n: Natural = 100): auto =
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@@ -72,24 +94,4 @@ proc testSpread(nTests, nSamples: Natural) =
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when isMainModule:
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  randomize()
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  var r = initRand(rand(int64))
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  let b = newRandomGame(r)
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  b.display(1, 5)
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  echo b.showSpaces(1, 16)
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  let scores = b.getLegScores
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  echo scores.showPercents
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  # let start_states = 2_000
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  # let executionTime = testLegs(start_states)
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  # echo "Execution time: ", executionTime
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  # echo "Leg simulations per second: ", float(start_states * 29_160) / executionTime
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  # for i in 1 .. 1:
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  #   let num_games = 100_000_005
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  #   let executionTime = testGames(num_games)
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  #   echo "Execution time: ", executionTime
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  #   echo "Full-game simulations per second: ", float(num_games) / executionTime
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  #   echo ""
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  # testSpread(100, 1_000_000)
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  games(10, 10_000_000).summarize()
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