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6 changed files with 114 additions and 9 deletions

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README.md Normal file
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@ -0,0 +1,21 @@
# `cup` - CamelUp probability calculator
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%.
```
Usage:
cup [-i] SPACE:STACK [...SPACE:STACK] [DICE]
SPACE refers to a numbered board space (1-16).
STACK refers to a stack of camel colors from bottom to top, e.g.
YBR (Yellow, Blue, Red, with Red on top).
DICE refers to the set of dice that have already been rolled,
e.g. GPR (Green, Purple, Red)
Options:
-i Interactive mode (currently unimplemented)
-h Show this message and exit
```

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@ -18,15 +18,21 @@ proc getAllColors: ColorStack =
for c in Color.low .. Color.high:
result[i] = c
const allColors* = getAllColors()
const colorNames: array[Color, string] =
const
allColors* = getAllColors()
colorNames: array[Color, string] =
["Red", "Green", "Blue", "Yellow", "Purple"]
colorAbbrevs: array[Color, char] = ['R', 'G', 'B', 'Y', 'P']
proc `$`*(c: Color): string =
result = colorNames[c]
proc abbrev*(c: Color): char =
result = colorAbbrevs[c]
proc `$`*(s: ColorStack): string =
result.add("St@[")
for i, color in s:
@ -44,8 +50,8 @@ type
tForward = 1
Square* = object
camels: ColorStack
tile: Option[Tile]
camels*: ColorStack
tile*: Option[Tile]
Board* = object
squares*: array[1..16, Square]

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@ -4,6 +4,7 @@ import combinators, game, fixedseq
type
ScoreSet* = array[Color, int]
WinPercents* = array[Color, float]
ScoreSpread = object
lo*: array[Color, float]
@ -26,6 +27,12 @@ proc display*(scores: ScoreSet) =
# echo color, ": ", round(100 * scores[color] / total, 2), '%'
proc percents*(scores: ScoreSet): WinPercents =
let total = scores.sum
for c, score in scores:
result[c] = score / total
# ======================
# Single-leg simulations
# ======================

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@ -1,5 +1,5 @@
import math, random, strformat, times
import fixedseq, game, simulation
import fixedseq, game, simulation, ui
proc randomDice(r: var Rand): seq[tuple[c: Color, p: int]] =
@ -9,6 +9,15 @@ proc randomDice(r: var Rand): seq[tuple[c: Color, p: int]] =
result.shuffle
proc newRandomGame(r: var Rand): Board =
var dice: array[5, tuple[c: Color, p: int]]
for i in 0 .. 4:
dice[i] = (Color(i), r.rand(1..3))
result.init
result.setState(dice, [])
proc testGames(n: SomeInteger = 100): auto =
var r = initRand(rand(int64))
let dice = randomDice(r)
@ -64,6 +73,13 @@ proc testSpread(nTests, nSamples: Natural) =
when isMainModule:
randomize()
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
@ -76,4 +92,4 @@ when isMainModule:
# echo "Full-game simulations per second: ", float(num_games) / executionTime
# echo ""
testSpread(100, 1_000_000)
# testSpread(100, 1_000_000)

59
ui.nim
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@ -1,5 +1,5 @@
import os, strutils
import game
import os, math, strutils, strformat
import fixedseq, game, simulation
const help =
@ -19,6 +19,11 @@ Options:
-h Show this message and exit
"""
# =============================
# User input parsing/validation
# =============================
type
CmdConfig* = object
state*: seq[tuple[c: Color, p: int]]
@ -63,3 +68,53 @@ proc parseArgs*(): CmdConfig =
for c in p:
let color = parseColor(c)
result.diceRolled[color] = true
# ==========================
# Game state representations
# ==========================
proc showSpaces*(b: Board; start, stop: Natural): string =
let numSpaces = stop - start + 1
let width = 4 * numSpaces - 1
var lines: array[7, string]
# start by building up an empty board
for i in 0 .. 6: # gotta initialize the strings
lines[i] = newString(width)
for c in lines[i].mitems:
c = ' '
# fill in the dividers
lines[5] = repeat("=== ", numSpaces - 1)
lines[5].add("===")
# now populate the board
for sp in 0 ..< numSpaces:
# fill in the square numbers
let squareNum = sp + start
let cellMid = 4 * sp + 1
for i, chr in $squareNum:
lines[6][cellMid + i] = chr
# fill in the camel stacks
for i, color in b.squares[squareNum].camels:
let lineNum = 4 - i # lines go to 6, but bottom 2 are reserved
let repr = '|' & color.abbrev & '|'
for j, chr in repr:
lines[lineNum][cellMid - 1 + j] = chr
result = lines.join("\n")
proc showPercents*(scores: ScoreSet): string =
var lines: array[5, string]
for color, pct in scores.percents:
let label = align($color, 7) # e.g. " Green"
var bar = repeat(" ", 20)
let percentage = round(pct * 100, 2)
# populate the progress bar
let barFill = int(round(pct * 100 / 20))
for i in 0 ..< barFill:
bar[i] = '='
lines[int(color)] = fmt"{label}: [{bar}] {percentage}%"
result = lines.join("\n")