public static LSFStrings Calculate(LSFInput input)
{
var ind = input.XValues;
var de = input.YValues;
var uncertain = input.YUncertainties;
if (ind.Count != de.Count)
throw new Exception("there are a different number of independent and dependent values");
if (ind.Count != uncertain.Count)
throw new Exception("there are a different number of values and uncertanties");
//calculate relevant LSF constants
int n = ind.Count;
var indSum = Summation(ind);
var deSum = Summation(de);
var uncertSumPow = SummationPowered(uncertain);
var indSumPow = SummationPowered(ind);
var crossSum = SummationMulti(ind, de);
var lsfResult = CalculateLeastSquaresFit(n, indSum, deSum, indSumPow, crossSum, uncertSumPow);
#region format everything
var retStruct = new LSFStrings();
retStruct.IndSum = "∑x=";
retStruct.DeSum = "∑y=";
retStruct.CrossSum = "∑xy=";
retStruct.IndPowerSum = "∑x^2=";
retStruct.UncertPowerSum = "∑δy^2=";
foreach (var d in ind){
retStruct.IndSum += (d + "+");
}
retStruct.IndSum = retStruct.IndSum.Remove(retStruct.IndSum.Count() - 1);
foreach (var d in de){
retStruct.DeSum += (d + "+");
}
retStruct.DeSum = retStruct.DeSum.Remove(retStruct.DeSum.Count() - 1);
for (int i = 0; i < n; i++){
retStruct.CrossSum += ind[i].ToString() + "*" + de[i].ToString() + "+";
}
retStruct.CrossSum = retStruct.CrossSum.Remove(retStruct.CrossSum.Count() - 1);
foreach (var d in ind){
retStruct.IndPowerSum += (d + "^2+");
}
retStruct.IndPowerSum = retStruct.IndPowerSum.Remove(retStruct.IndPowerSum.Count() - 1);
foreach (var d in uncertain){
retStruct.UncertPowerSum += (d + "^2+");
}
retStruct.UncertPowerSum = retStruct.UncertPowerSum.Remove(retStruct.UncertPowerSum.Count() - 1);
//now for the second part
retStruct.SlopeEquation = "m={" + n + "*" + crossSum + "-" + indSum + "*" + deSum + "} over {" + n + "*" + indSumPow + "-" + indSum + "^2}";
retStruct.InterceptEquation = "b={" + indSum + "^2*" + deSum + "-" + indSum + "*" + crossSum + "} over {" + n + "*" + indSumPow + "-" + indSum + "^2}";
retStruct.YUncertEquation = "s_y=sqrt{{" + uncertSumPow + "} over {" + n + "-2}}";
retStruct.InterceptUncertEquation = "s_b=" + lsfResult.Sy + "*sqrt{{" + indSumPow + "} over {" + n + "*" + indSumPow + "-" + indSum + "^2}}";
retStruct.SlopeUncertEquation = "s_m=" + lsfResult.Sy + "*sqrt{{" + n + "} over {" + n + "*" + indSumPow + "-" + indSum + "^2}}";
//add the constants generated to the end of the equations in question
retStruct.IndSum += "=" + indSum;
retStruct.IndPowerSum += "=" + indSumPow;
retStruct.DeSum += "=" + deSum;
retStruct.CrossSum += "=" + crossSum;
retStruct.InterceptEquation += "=" + lsfResult.YIntercept;
retStruct.InterceptUncertEquation += "=" + lsfResult.Sb;
retStruct.SlopeEquation += "=" + lsfResult.Slope;
retStruct.SlopeUncertEquation += "=" + lsfResult.Sm;
retStruct.UncertPowerSum += "=" + uncertSumPow;
retStruct.YUncertEquation += "=" + lsfResult.Sy;
retStruct.NumSamples = n;
#endregion
return retStruct;
}
public static LSFStrings Calculate(LSFInput input)
{
var ind = input.XValues;
var de = input.YValues;
var uncertain = input.YUncertainties;
if (ind.Count != de.Count)
{
throw new Exception("there are a different number of independent and dependent values");
}
if (ind.Count != uncertain.Count)
{
throw new Exception("there are a different number of values and uncertanties");
}
//calculate relevant LSF constants
int n = ind.Count;
var indSum = Summation(ind);
var deSum = Summation(de);
var uncertSumPow = SummationPowered(uncertain);
var indSumPow = SummationPowered(ind);
var crossSum = SummationMulti(ind, de);
var lsfResult = CalculateLeastSquaresFit(n, indSum, deSum, indSumPow, crossSum, uncertSumPow);
#region format everything
var retStruct = new LSFStrings();
retStruct.IndSum = "∑x=";
retStruct.DeSum = "∑y=";
retStruct.CrossSum = "∑xy=";
retStruct.IndPowerSum = "∑x^2=";
retStruct.UncertPowerSum = "∑δy^2=";
foreach (var d in ind)
{
retStruct.IndSum += (d + "+");
}
retStruct.IndSum = retStruct.IndSum.Remove(retStruct.IndSum.Count() - 1);
foreach (var d in de)
{
retStruct.DeSum += (d + "+");
}
retStruct.DeSum = retStruct.DeSum.Remove(retStruct.DeSum.Count() - 1);
for (int i = 0; i < n; i++)
{
retStruct.CrossSum += ind[i].ToString() + "*" + de[i].ToString() + "+";
}
retStruct.CrossSum = retStruct.CrossSum.Remove(retStruct.CrossSum.Count() - 1);
foreach (var d in ind)
{
retStruct.IndPowerSum += (d + "^2+");
}
retStruct.IndPowerSum = retStruct.IndPowerSum.Remove(retStruct.IndPowerSum.Count() - 1);
foreach (var d in uncertain)
{
retStruct.UncertPowerSum += (d + "^2+");
}
retStruct.UncertPowerSum = retStruct.UncertPowerSum.Remove(retStruct.UncertPowerSum.Count() - 1);
//now for the second part
retStruct.SlopeEquation = "m={" + n + "*" + crossSum + "-" + indSum + "*" + deSum + "} over {" + n + "*" + indSumPow + "-" + indSum + "^2}";
retStruct.InterceptEquation = "b={" + indSum + "^2*" + deSum + "-" + indSum + "*" + crossSum + "} over {" + n + "*" + indSumPow + "-" + indSum + "^2}";
retStruct.YUncertEquation = "s_y=sqrt{{" + uncertSumPow + "} over {" + n + "-2}}";
retStruct.InterceptUncertEquation = "s_b=" + lsfResult.Sy + "*sqrt{{" + indSumPow + "} over {" + n + "*" + indSumPow + "-" + indSum + "^2}}";
retStruct.SlopeUncertEquation = "s_m=" + lsfResult.Sy + "*sqrt{{" + n + "} over {" + n + "*" + indSumPow + "-" + indSum + "^2}}";
//add the constants generated to the end of the equations in question
retStruct.IndSum += "=" + indSum;
retStruct.IndPowerSum += "=" + indSumPow;
retStruct.DeSum += "=" + deSum;
retStruct.CrossSum += "=" + crossSum;
retStruct.InterceptEquation += "=" + lsfResult.YIntercept;
retStruct.InterceptUncertEquation += "=" + lsfResult.Sb;
retStruct.SlopeEquation += "=" + lsfResult.Slope;
retStruct.SlopeUncertEquation += "=" + lsfResult.Sm;
retStruct.UncertPowerSum += "=" + uncertSumPow;
retStruct.YUncertEquation += "=" + lsfResult.Sy;
retStruct.NumSamples = n;
#endregion
return(retStruct);
}