[Scilab-users] Scilab leastsq exponential fitting

chloe.kykam chloe.kykam at gmail.com
Mon Jul 28 15:59:56 CEST 2014


Thanks Antoine, it does work after I restart Scilab.

However, my actual code consists of more than 1 data set, and I would have
to normalise them according the their respective areas under the curve. The
code only works without the normalisation part (replacing ri with r), but
error 21 arises when the part is included.

funcprot(0)
workbook = readxls('C:\Users\Kying\Desktop\Stray_light\Data.xls')
sheet = workbook(1) //old

k=6.63e-34*3e8/1.38e-23
x=sheet(:,2)
ri=sheet(:,3)
gi=sheet(:,4)
bi=sheet(:,5)
uvi=sheet(:,6)

//normalization
norm=max([inttrap(x,ri),inttrap(x,gi),inttrap(x,bi),inttrap(x,uvi)])
r=norm/inttrap(x,ri)*ri
g=norm/inttrap(x,gi)*gi
b=norm/inttrap(x,bi)*bi
uv=norm/inttrap(x,uvi)*uvi
//end of normalization

dims=1
ur=min(find(r>0.71*max(r))) //uppler limit
lr=max(find(find(r<10)<find(r==max(r)))) //lower limit
wr=matrix((cat(dims,zeros(lr-1,1),ones(ur-lr+1,1),zeros(1024-ur,1))),1024,1)
//weighting

//exponential function
function y=yth(x,a) 
     y=a(1)*exp(-k./x/a(2)) 
endfunction 

//initial parameters
a0=[1.0;300] 

function e=myfun(a,x,r,wr) 
     e=wr.*(yth(x,a)-r) 
endfunction 

//call leastsq
[f,xopt,gopt]=leastsq(list(myfun,x,r,wr),a0) 

scf(); 
plot2d(x,r,logflag="nl",style=[color("red")])
//plot2d(x,yth(x,xopt))
plot2d(x,g,logflag="nl",style=[color("green")])
plot2d(x,b,logflag="nl",style=[color("blue")])
plot2d(x,uv,logflag="nl",style=[color("purple")])

Error message:
-->exec('C:\Users\Kying\Desktop\Stray_light\testing2.sce', -1)
 !--error 21 
Invalid index.
at line     118 of function numderivative called by :  
at line       2 of function Dfun called by :  
at line       2 of function %opt called by :  
at line      92 of function leastsq called by :  
[f,xopt,gopt]=leastsq(list(myfun,x,r,wr),a0)
at line      38 of exec file called by :    
exec('C:\Users\Kying\Desktop\Stray_light\testing2.sce', -1)

Do you have any idea why that is?

Thanks




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