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Add arithmetic mean functions #30

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@delphidabbler

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@delphidabbler

Delphi's Math unit has a Mean function, but only for Float arrays:

function Mean(const Data: array of Single): Single;
function Mean(const Data: array of Double): Double;
function Mean(const Data: array of Extended): Extended;

So we could define Mean for integers that returns a Double. Two possible implementations:

function MeanInt(const A: array of Integer): Double;
begin
  Result := 0.0;
  for var I := Low(A) to High(A) do
    Result := Result + A[I] / Length(A);
end;

function MeanInt2(const A: array of Integer): Double;
begin
  var Sum: Int64 := 0;
  for var Elem in A do
    Inc(Sum, Elem);
  Result := Sum / Length(A);
end;

The former is less likely to overflow and generalises to 64 bit integes better, while the latter is faster.

This issue was extracted from issue #16

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