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#include <alignment/statistics/pdfs.hpp>
float Binomial(float p, int x, int n) { return pow(p, n) * pow(1 - p, x - n) * Choose(x, n); }
float Poisson(float lambda, int n)
{
if (n < FactorialTableLength) {
float lambdaToN = pow(lambda, n);
if (lambdaToN == HUGE_VALF) return 1;
return (pow(lambda, n) * exp(-lambda)) / FactorialTable[n];
} else {
return 0;
}
}
float Gamma(float lambda, float t, int n)
{
if (n <= FactorialTableLength) {
return (pow(lambda, n) * pow(t, n - 1) * exp(-lambda * t)) / FactorialTable[n - 1];
} else {
return 0;
}
}
float Exponential(float lambda, int t) { return lambda * exp(-lambda * t); }
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