[General Information]

Function Name=ExpGro3	; name show up in the select function dialog
Brief Description=Exponential Growth 3
Function Type=Built-in		; source type, built-in, user-defined, external dll
Function Form=Expression	; function form;
Function Source=fgroup.ExpGro3
Number Of Parameters=7
Number Of Independent Variables=1
Number Of Dependent Variables=1


[Fitting Parameters]

Naming Method=user-defined
Names=y0,A1,t1,A2,t2,A3,t3
Lower bounds=--,0.0(X,OFF),0.0(X,OFF),0.0(X,OFF),0.0(X,OFF),0.0(X,OFF),0.0(X,OFF)
Upper bounds=--,--,--,--,--,--,--
Meanings=offset,amplitude,growth constant,amplitude,growth constant,amplitude,growth constant


[Independent Variables]

x = 


[Dependent Variables]

y = 


[Constants]


[Formula]
y = A1*exp(x/t1) + A2*exp(x/t2) + A3*exp(x/t3) + y0

[Constraints]


[Parameters Initialization]
sort( x_y_curve );
smooth( x_y_curve );
x_y_curve = ln( x_y_curve );
double coeff[2];
fitpoly( x_y_curve, 1, coeff);  
A1 = exp(coeff[0]);
A2 = exp(coeff[0]);
A3 = exp(coeff[0]);
t1 = 1/(.5*coeff[1]);
t2 = 1/coeff[1];
t3 = 1/(1.5*coeff[1]);
y0 = min( y_data ) - 3 * exp(coeff[0]);


[Initializations]


[After fitting]


[Controls]
General Linear Constraints=Off
Initialization scripts=Off
Scripts After fitting=Off

