public QsValue StdDeviation(int fromIndex, int toIndex)
{
var n = toIndex - fromIndex + 1;
if (this.Parameters.Length > 0)
{
throw new QsException("Standard Deviation with symbolic quantities (I think you went so far ^_^ )", new NotImplementedException());
}
else
{
FixIndices(ref fromIndex, ref toIndex);
var mean = Average(fromIndex, toIndex);
var Two = "2".ToScalarValue();
QsValue Total = (GetElementValue(fromIndex) - mean).PowerOperation(Two);
for (int i = fromIndex + 1; i <= toIndex; i++)
{
var p = GetElementValue(i) - mean;
var pp2 = p.PowerOperation(Two);
Total = Total + pp2;
}
var count = new QsScalar {
NumericalQuantity = Qs.ToQuantity((double)n)
};
return(Total / count);
}
}
public QsValue Average(int fromIndex, int toIndex, QsValue arg0, QsValue arg1, QsValue arg2, QsValue arg3)
{
FixIndices(ref fromIndex, ref toIndex);
var tot = SumElements(fromIndex, toIndex, arg0, arg1, arg2, arg3);
var n = toIndex - fromIndex + 1;
var count = new QsScalar {
NumericalQuantity = Qs.ToQuantity((double)n)
};
return(tot / count);
}
/// <summary>
/// Take the average of the sequence.
/// Corresponds To: S[i!!k]
/// </summary>
/// <param name="fromIndex"></param>
/// <param name="toIndex"></param>
/// <returns></returns>
public QsValue Average(int fromIndex, int toIndex)
{
var n = toIndex - fromIndex + 1;
if (this.Parameters.Length > 0)
{
// this is a call to form symbolic element
// like g[n](x) ..> x^n
// and calling g[0++2]
// the output should be x^0 + x^1 + x^2
// and be parsed into function (QsFunction)
string porma = string.Empty; // the parameters separated by comma ','
foreach (var prm in this.Parameters)
{
porma += prm.Name + ", ";
}
porma = porma.TrimEnd(',', ' ');
string FunctionBody = "(" + JoinElementsWithOperation(fromIndex, toIndex, "+") + ")/" + n.ToString(CultureInfo.InvariantCulture);
string FunctionDeclaration = "_(" + porma + ") = " + FunctionBody;
QsFunction qs = QsFunction.ParseFunction(QsEvaluator.CurrentEvaluator, FunctionDeclaration);
return(qs);
}
else
{
FixIndices(ref fromIndex, ref toIndex);
var tot = SumElements(fromIndex, toIndex);
var count = new QsScalar {
NumericalQuantity = Qs.ToQuantity((double)n)
};
return(tot / count);
}
}
public QsValue StdDeviation(int fromIndex, int toIndex, QsValue arg0, QsValue arg1, QsValue arg2)
{
var n = toIndex - fromIndex + 1;
FixIndices(ref fromIndex, ref toIndex);
var mean = Average(fromIndex, toIndex, arg0, arg1, arg2);
var Two = "2".ToScalarValue();
QsValue Total = (GetElementValue(fromIndex, arg0, arg1, arg2) - mean).PowerOperation(Two);
for (int i = fromIndex + 1; i <= toIndex; i++)
{
var p = GetElementValue(i, arg0, arg1, arg2) - mean;
var pp2 = p.PowerOperation(Two);
Total = Total + pp2;
}
var count = new QsScalar {
NumericalQuantity = Qs.ToQuantity((double)n)
};
return(Total / count);
}