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Dice game probabilities: Difference between revisions

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Dice game probabilities (view source)

Revision as of 02:44, 6 June 2021

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→‎{{header|Phix}}: added syntax colouring the hard way
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=={{header|Phix}}==
{{trans|Go}}
<!--<lang Phix>(phixonline)-->
<lang Phix>function throwDie(integer nSides, nDice, s, sequence counts)
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
if nDice == 0 then
<span style="color: #008080;">function</span> <span style="color: #000000;">throwDie</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">nSides</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">counts</span><span style="color: #0000FF;">)</span>
counts[s] += 1
<span style="color: #008080;">if</span> <span style="color: #000000;">nDice</span> <span style="color: #0000FF;">==</span> <span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
else
<span style="color: #000000;">counts</span><span style="color: #0000FF;">[</span><span style="color: #000000;">s</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
for i=1 to nSides do
<span style="color: #008080;">else</span>
counts = throwDie(nSides, nDice-1, s+i, counts)
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">nSides</span> <span style="color: #008080;">do</span>
end for
<span style="color: #000000;">counts</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">throwDie</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">+</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">counts</span><span style="color: #0000FF;">)</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
return counts
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">counts</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
function beatingProbability(integer nSides1, nDice1, nSides2, nDice2)
integer len1 := (nSides1 + 1) * nDice1,
<span style="color: #008080;">function</span> <span style="color: #000000;">beatingProbability</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">nSides1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nSides2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice2</span><span style="color: #0000FF;">)</span>
len2 := (nSides2 + 1) * nDice2
<span style="color: #004080;">integer</span> <span style="color: #000000;">len1</span> <span style="color: #0000FF;">:=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">nSides1</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> <span style="color: #0000FF;">*</span> <span style="color: #000000;">nDice1</span><span style="color: #0000FF;">,</span>
sequence c1 = throwDie(nSides1, nDice1, 0, repeat(0,len1)),
<span style="color: #000000;">len2</span> <span style="color: #0000FF;">:=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">nSides2</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> <span style="color: #0000FF;">*</span> <span style="color: #000000;">nDice2</span>
c2 = throwDie(nSides2, nDice2, 0, repeat(0,len2))
<span style="color: #004080;">sequence</span> <span style="color: #000000;">c1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">throwDie</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">len1</span><span style="color: #0000FF;">)),</span>
atom p12 := power(nSides1, nDice1) * power(nSides2, nDice2),
<span style="color: #000000;">c2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">throwDie</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">len2</span><span style="color: #0000FF;">))</span>
tot := 0.0
<span style="color: #004080;">atom</span> <span style="color: #000000;">p12</span> <span style="color: #0000FF;">:=</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice1</span><span style="color: #0000FF;">)</span> <span style="color: #0000FF;">*</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice2</span><span style="color: #0000FF;">),</span>
for i=1 to len1 do
<span style="color: #000000;">tot</span> <span style="color: #0000FF;">:=</span> <span style="color: #000000;">0.0</span>
for j=1 to min(i-1,len2) do
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">len1</span> <span style="color: #008080;">do</span>
tot += (c1[i] * c2[j]) / p12
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">min</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">len2</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
end for
<span style="color: #000000;">tot</span> <span style="color: #0000FF;">+=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">c1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">*</span> <span style="color: #000000;">c2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">])</span> <span style="color: #0000FF;">/</span> <span style="color: #000000;">p12</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
return tot
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">tot</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
printf(1,"%0.16f\n",beatingProbability(4, 9, 6, 6))
printf(1,"%0.16f\n",beatingProbability(10, 5, 7, 6))</lang>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%0.16f\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">beatingProbability</span><span style="color: #0000FF;">(</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">))</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%0.16f\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">beatingProbability</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">))</span>
<!--</lang>-->
{{out}}
<small>
Petelomax
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