switch to fastrand (not actually any faster)

README.md

@@ -4,6 +4,7 @@ This tool calculates probable outcomes for the board game CamelUp.
 It can calculate all possible outcomes for a single game leg in about 5ms, so effectively instantaneously.
 Full-game calculations take a little bit longer and are not exact (since it isn't practical to simulate all possible full game states.)
 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%.
+(Numbers from running on a Ryzen 3700X.)
 
 ```
 Usage: 

combinators.nim

@@ -1,5 +1,5 @@
 import algorithm, random, sugar
-import fixedseq, game
+import fastrand, fixedseq, game
 
 
 proc nextPermutation(x: var FixedSeq): bool =
@@ -93,4 +93,4 @@ proc randomFuture*(dice: FixedSeq, r: var Rand): FixedSeq[5, Die, int8] =
   result.initFixedSeq
   let order = dice.dup(shuffle(r))
   for i, color in order:
-    result.add((color, r.rand(1..3)))
+    result.add((color, r.fastRand(1..3)))

config.nims

@@ -0,0 +1,5 @@
+--threads: on
+--d: release
+--opt: speed
+--passC: -flto
+--passL: -flto

cup.nim

@@ -1,5 +1,4 @@
-import math, options, sequtils, random, sets
+import game, simulation, ui
-import combinators, game, fixedseq, simulation, ui
 
 
 when isMainModule:
@@ -8,11 +7,11 @@ when isMainModule:
   b.init
   b.setState(config.state, [])
   b.diceRolled = config.diceRolled
-  b.display(1, 5)
+  echo b.showSpaces(1, 16)
   let legScores = b.getLegScores
-  echo "Current leg probabilities:"
+  echo "\nCurrent leg probabilities:"
-  legScores.display
+  echo legScores.showPercents()
   
   let gameScores = b.randomGames(1_000_000)
   echo "\nFull game probabilities (1M simulations):"
-  gameScores.display
+  echo gameScores.showPercents()

fastrand.nim

@@ -0,0 +1,74 @@
+import random, math
+import times, std/monotimes, strformat, strutils
+
+
+proc formatNum(n: SomeNumber): string =
+  let s = $(n.round)
+  let t = s[0 .. s.len - 3]
+  var count = 1
+  for i in countdown(t.high, 0):
+    result.insert($t[i], 0)
+    if count mod 3 == 0 and i != 0:
+      result.insert(",", 0)
+    count += 1
+
+
+proc formatRate(n: Natural, d: Duration): string =
+  result = formatNum(1_000_000'f64 * n.float64 / d.inMicroseconds.float64)
+
+
+const upperBound = uint64(uint32.high)
+
+
+proc fastRand*[T: Natural](r: var Rand, x: T): T =
+  # Nim ranges are usually inclusive, but this algorithm is exclusive
+  let x = x.uint64 + 1
+  let num = if x <= upperBound:
+    ((r.next shr 32) * x.uint64) shr 32
+  else:
+    r.next mod x.uint64
+  result = T(num)
+
+
+proc fastRand*(r: var Rand; x, y: Natural): Natural =
+  let lim = (y - x)
+  result = fastRand(r, lim) + x
+
+
+proc fastRand*[T](r: var Rand, slice: HSlice[T, T]): T =
+  let n = fastRand(r, slice.a.Natural, slice.b.Natural)
+  result = T(n)
+
+
+proc testFastRand(num = 1_000_000_000): Duration =
+  var r = initRand(rand(int64))
+  let start = getMonoTime()
+  for i in 1 .. num:
+    discard r.fastRand(5)
+  result = getMonoTime() - start
+  # echo "fastrand execution rate: ",  1000 * num / dur.inMilliseconds.int, " generated per second."
+
+
+proc testStdRand(num = 1_000_000_000): Duration =
+  var r = initRand(rand(int64))
+  let start = getMonoTime()
+  for i in 1 .. num:
+    discard r.rand(4)
+  result = getMonoTime() - start
+  # echo "std rand execution rate: ", 1000 * num / dur.inMilliseconds.int, " generated per second."
+
+
+when isMainModule:
+  randomize()
+  var r = initRand(rand(int64))
+  let runs = 100_000_000
+  var totals: array[5..9, int]
+  for i in 1 .. runs:
+    let n = r.fastRand(5..9)
+    totals[n] += 1
+  echo totals
+
+  # let fr = testFastRand(runs)
+  # echo "fastrand execution rate: ", formatNum(1_000_000 * runs / fr.inMicroseconds.int)
+  # let sr = testStdRand(runs)
+  # echo "standard execution rate: ", formatNum(1_000_000 * runs / sr.inMicroseconds.int)

test.nim

@@ -1,7 +1,32 @@
-import math, random, strformat, times
+import math, random, strformat, times, std/monotimes
 import fixedseq, game, simulation, ui
 
 
+type
+  TestResults = object
+    ops: int
+    time: Duration
+
+
+proc summarize(tr: TestResults) =
+  let secs = tr.time.inMilliseconds.float / 1000
+  stdout.write("Test completed:\n")
+  stdout.write("  " & $tr.ops, " operations in " & $round(secs, 2) & " seconds\n")
+  stdout.write("  " & $round(tr.ops.float / secs, 2) & " operations per second")
+  stdout.flushFile()
+
+
+template executionTime(body: untyped): Duration =
+  let start = getMonoTime()
+  body
+  getMonoTime() - start
+
+
+proc getRand(): Rand =
+  randomize()
+  result = initRand(rand(int64))
+
+
 proc randomDice(r: var Rand): seq[tuple[c: Color, p: int]] = 
   for c in Color:
     let v = r.rand(1..3)
@@ -18,18 +43,15 @@ proc newRandomGame(r: var Rand): Board =
   result.setState(dice, [])
 
 
-proc testGames(n: SomeInteger = 100): auto =
+proc games(nTests, nSamples: SomeInteger, parallel = true): TestResults =
-  var r = initRand(rand(int64))
+  var r = getRand()
-  let dice = randomDice(r)
+  var scores: ScoreSet
-  var b: Board
+  for i in 1 .. nTests:
-  b.init
+    let b = newRandomGame(r)
-  b.setState(dice, [])
+    let dur = executionTime:
-  b.display(1, 5)
+        let s = b.randomGames(nSamples, parallel = parallel)
-
+    result.ops += s.sum()
-  let startTime = cpuTime()
+    result.time += dur
-  let scores = b.randomGames(n)
-  result = cpuTime() - startTime
-  scores.display()
 
 
 proc testLegs(n: Natural = 100): auto =
@@ -72,24 +94,4 @@ proc testSpread(nTests, nSamples: Natural) =
 
 
 when isMainModule:
-  randomize()
+  games(10, 10_000_000).summarize()
-  var r = initRand(rand(int64))
-  let b = newRandomGame(r)
-  b.display(1, 5)
-  echo b.showSpaces(1, 16)
-
-  let scores = b.getLegScores
-  echo scores.showPercents
-  # let start_states = 2_000
-  # let executionTime = testLegs(start_states)
-  # echo "Execution time: ", executionTime
-  # echo "Leg simulations per second: ", float(start_states * 29_160) / executionTime
-
-  # for i in 1 .. 1:
-  #   let num_games = 100_000_005
-  #   let executionTime = testGames(num_games)
-  #   echo "Execution time: ", executionTime
-  #   echo "Full-game simulations per second: ", float(num_games) / executionTime
-  #   echo ""
-
-  # testSpread(100, 1_000_000)