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standarddeviant/WarCardSim.ipynb

Created December 30, 2018 03:55
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Simulation of War, the card game
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WarCardSim.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Init Packages"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"using Random, DataStructures, Plots, Statistics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Define `struct` or type for a game of war, `WarGame`"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"mutable struct WarGame\n",
" d1::CircularBuffer{UInt8} # d for deck\n",
" d2::CircularBuffer{UInt8} # d for deck\n",
" z1::CircularBuffer{UInt8} # z for discard\n",
" z2::CircularBuffer{UInt8} # z for discard\n",
"\n",
" round_count::UInt64\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Define constructor for `WarGame`"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"WarGame"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# make unshuffled, initial deck\n",
"jokers = true\n",
"ONE_SUIT = collect(UInt8, 2:14) # (2 through Ace)\n",
"FOUR_SUITS = repeat(ONE_SUIT, 4)\n",
"JOKER_CARDS = jokers ? UInt8[15, 15] : UInt8[]\n",
"UNSHUFFLED_DECK = cat(\n",
" FOUR_SUITS, # (2 through Ace) * 4 suits\n",
" JOKER_CARDS, # 0 or 2 Jokers\n",
" dims=1\n",
")\n",
"\n",
"function WarGame(; jokers=true)\n",
" d1 = CircularBuffer{UInt8}(length(UNSHUFFLED_DECK))\n",
" d2 = CircularBuffer{UInt8}(length(UNSHUFFLED_DECK))\n",
" z1 = CircularBuffer{UInt8}(length(UNSHUFFLED_DECK))\n",
" z2 = CircularBuffer{UInt8}(length(UNSHUFFLED_DECK))\n",
"\n",
" half = Int(length(UNSHUFFLED_DECK)/2)\n",
" deck_perm = randperm(length(UNSHUFFLED_DECK))\n",
" for ix=deck_perm[ 0 .+ (1:half)]; push!(d1, UNSHUFFLED_DECK[ix]); end\n",
" for ix=deck_perm[ half .+ (1:half)]; push!(d2, UNSHUFFLED_DECK[ix]); end \n",
"\n",
" round_count = UInt64(0)\n",
"\n",
" WarGame(d1, d2, z1, z2, round_count)\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Define function to play a single game of war\n",
"* The return value is the number of round played in a game of war"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"play_war1 (generic function with 1 method)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function play_war1()\n",
" g = WarGame()\n",
" while length(g.d1) > 0 && length(g.d2) > 0\n",
" # play single round of war \n",
" while length(g.d1) > 0 && length(g.d2) > 0\n",
" # @show g.d1[1], g.d2[1]\n",
" if g.d1[1] > g.d2[1] # player 1 wins hand\n",
" push!(g.z1, popfirst!(g.d1))\n",
" push!(g.z1, popfirst!(g.d2))\n",
"\n",
" elseif g.d1[1] < g.d2[1] # player 2 wins hand\n",
" push!(g.z2, popfirst!(g.d2))\n",
" push!(g.z2, popfirst!(g.d1))\n",
"\n",
" elseif g.d1[1] == g.d2[1] # tie\n",
" ix_check = 3\n",
" L1 = length(g.d1)\n",
" while all(ix_check .<= (length(g.d1) ,length(g.d2)))\n",
" if g.d1[ix_check] > g.d2[ix_check]\n",
" for ix=1:ix_check; push!(g.z1, popfirst!(g.d1)); end\n",
" for ix=1:ix_check; push!(g.z1, popfirst!(g.d2)); end\n",
" break\n",
" elseif g.d1[ix_check] < g.d2[ix_check]\n",
" for ix=1:ix_check; push!(g.z2, popfirst!(g.d2)); end\n",
" for ix=1:ix_check; push!(g.z2, popfirst!(g.d1)); end\n",
" break\n",
" elseif g.d1[ix_check] == g.d2[ix_check]\n",
" ix_check += 1\n",
" end\n",
" end\n",
"\n",
" # if there was no movement, then just break\n",
" if length(g.d1) == L1\n",
" break\n",
" end\n",
" end # 3 clause win1 / win2 / tie\n",
" # println(\"$(length(g.d1)), $(length(g.d2)), $(length(g.z1)), $(length(g.z2))\")\n",
" end # single round\n",
"\n",
" # force potential leftovers from d1 to z1 and d2 to z2\n",
" for ix=1:length(g.d1); push!(g.z1, popfirst!(g.d1)); end\n",
" for ix=1:length(g.d2); push!(g.z2, popfirst!(g.d2)); end\n",
"\n",
" # shuffle z1 to d1 and z2 to d2\n",
" for ix=randperm(length(g.z1)); push!(g.d1, g.z1[ix]); end\n",
" for ix=randperm(length(g.z2)); push!(g.d2, g.z2[ix]); end\n",
"\n",
" # empty z1 and z2 after they've been shuffled back to d1 and d2\n",
" empty!(g.z1)\n",
" empty!(g.z2)\n",
"\n",
" g.round_count += 1\n",
"\n",
" # println(\"$(g.round_count): $(length(g.d1)), $(length(g.d2)), $(length(g.z1)), $(length(g.z2))\")\n",
" end # single game\n",
" return g.round_count\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Use `play_war1()` to get statistical results"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 60.693112 seconds (167.00 M allocations: 29.892 GiB, 3.56% gc time)\n"
]
}
],
"source": [
"bigN = Int(1e6)\n",
"round_counts = UInt64[]\n",
"@time begin\n",
" open(\"war.bin\", \"w\") do f\n",
" for ix=1:bigN\n",
" round_count = play_war1()\n",
" write(f, round_count)\n",
" push!(round_counts, round_count)\n",
" end\n",
" end\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plot statistical results"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
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},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p = histogram(round_counts, bins=100, legend=false)\n",
"xlabel!(p, \"num rounds [ mean=$(mean(round_counts)), N=$(length(round_counts)) ]\");\n",
"ylabel!(p, \"num games\"), title!(p, \"Histogram of Number of Rounds of War\")\n",
"xlims!(p, 0, 200)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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