public static float ExpectedValue(
this IWeightedDistribution <float> distribution,
Func <float, float> function,
float start = 0f,
float end = 1f,
int buckets = 1000)
{
Func <float, float> value = x => function(x) * distribution.Weight(x);
Func <float, float> weight = distribution.Weight;
return(value.Area(start, end, buckets) / weight.Area(start, end, buckets));
}
public static IWeightedDistribution <float> Distribution(
IWeightedDistribution <float> distribution,
float shift,
float stretch = 0f,
float around = 0f)
{
if (Mathf.Approximately(stretch, 0) &&
Mathf.Approximately(shift, 0))
{
return(distribution);
}
shift = shift + around - around * stretch;
return(new Stretch(distribution, stretch, shift));
}
private Rejection(Func <T, float> weightFunction, IWeightedDistribution <T> helper, float factor)
{
this.weightFunction = weightFunction;
this.helper = helper;
this.factor = factor;
}
public static IWeightedDistribution <T> Distribution(
Func <T, float> weightFunction,
IWeightedDistribution <T> helper,
float factor = 1) => new Rejection <T>(weightFunction, helper, factor);
private void Awake() => this.distribution = this.itemsByWeight.ToWeighted();
private Stretch(IWeightedDistribution <float> distribution, float stretch, float shift)
{
_distribution = distribution;
_shift = shift;
_stretch = stretch;
}
