Dice game probabilities: Difference between revisions
Add C# implementation
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<pre>0.5731440767829801
0.6427886287176260</pre>
=={{header|C#}}==
{{trans|Java}}
<syntaxhighlight lang="C#">
using System;
class Program
{
static uint MinOf(uint x, uint y)
{
return x < y ? x : y;
}
static void ThrowDie(uint nSides, uint nDice, uint s, uint[] counts)
{
if (nDice == 0)
{
counts[s]++;
return;
}
for (uint i = 1; i <= nSides; i++)
{
ThrowDie(nSides, nDice - 1, s + i, counts);
}
}
static double BeatingProbability(uint nSides1, uint nDice1, uint nSides2, uint nDice2)
{
uint len1 = (nSides1 + 1) * nDice1;
uint[] c1 = new uint[len1]; // initialized to zero by default
ThrowDie(nSides1, nDice1, 0, c1);
uint len2 = (nSides2 + 1) * nDice2;
uint[] c2 = new uint[len2];
ThrowDie(nSides2, nDice2, 0, c2);
double p12 = Math.Pow(nSides1, nDice1) * Math.Pow(nSides2, nDice2);
double tot = 0.0;
for (uint i = 0; i < len1; i++)
{
for (uint j = 0; j < MinOf(i, len2); j++)
{
tot += (double)(c1[i] * c2[j]) / p12;
}
}
return tot;
}
static void Main(string[] args)
{
Console.WriteLine(BeatingProbability(4, 9, 6, 6));
Console.WriteLine(BeatingProbability(10, 5, 7, 6));
}
}
</syntaxhighlight>
{{out}}
<pre>
0.573144076782982
0.642788628717627
</pre>
=={{header|C++}}==
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