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slsDetectorPackage/slsDetectorCalibration/energyCalibration.cpp

535 lines
11 KiB
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#include "energyCalibration.h"
#ifdef __CINT
#define MYROOT
#endif
#ifdef MYROOT
#include <TMath.h>
#include <TH1F.h>
#include <TH2F.h>
#include <TGraphErrors.h>
#endif
#include <iostream>
#define max(a,b) ((a) > (b) ? (a) : (b))
#define min(a,b) ((a) < (b) ? (a) : (b))
#define ELEM_SWAP(a,b) { register int t=(a);(a)=(b);(b)=t; }
using namespace std;
#ifdef MYROOT
Double_t energyCalibrationFunctions::pedestal(Double_t *x, Double_t *par) {
return par[0]-par[1]*sign*x[0];
}
Double_t energyCalibrationFunctions::gaussChargeSharing(Double_t *x, Double_t *par) {
Double_t f, arg=0;
if (par[3]!=0) arg=sign*(x[0]-par[2])/par[3];
f=TMath::Exp(-1*arg*arg/2.);
f=f+par[5]/2.*(TMath::Erfc(arg/(TMath::Sqrt(2.))));
return par[4]*f+pedestal(x,par);
}
Double_t energyCalibrationFunctions::gaussChargeSharingPixel(Double_t *x, Double_t *par) {
Double_t f;
if (par[3]<=0 || par[2]*(*x)<=0 || par[5]<0 || par[4]<=0) return 0;
Double_t pp[3];
pp[0]=0;
pp[1]=par[2];
pp[2]=par[3];
f=(par[5]-par[6]*(TMath::Log(*x/par[2])))*erfBox(x,pp);
f+=par[4]*TMath::Gaus(*x, par[2], par[3], kTRUE);
return f+pedestal(x,par);
}
Double_t energyCalibrationFunctions::erfBox(Double_t *z, Double_t *par) {
Double_t m=par[0];
Double_t M=par[1];
if (par[0]>par[1]) {
m=par[1];
M=par[0];
}
if (m==M)
return 0;
if (par[2]<=0) {
if (*z>=m && *z<=M)
return 1./(M-m);
else
return 0;
}
return (TMath::Erfc((z[0]-M)/par[2])-TMath::Erfc((z[0]-m)/par[2]))*0.5/(M-m);
}
// basic erf function
Double_t energyCalibrationFunctions::erfFunction(Double_t *x, Double_t *par) {
double arg=0;
if (par[1]!=0) arg=(par[0]-x[0])/par[1];
return ((par[2]/2.*(1+TMath::Erf(sign*arg/(TMath::Sqrt(2))))));
};
Double_t energyCalibrationFunctions::erfFunctionChargeSharing(Double_t *x, Double_t *par) {
Double_t f;
f=erfFunction(x, par+2)*(1+par[5]*(par[2]-x[0]))+par[0]-par[1]*x[0]*sign;
return f;
};
Double_t energyCalibrationFunctions::erfFuncFluo(Double_t *x, Double_t *par) {
Double_t f;
f=erfFunctionChargeSharing(x, par)+erfFunction(x, par+6)*(1+par[9]*(par[6]-x[0]));
return f;
};
#endif
double energyCalibrationFunctions::median(double *x, int n){
// sorts x into xmed array and returns median
// n is number of values already in the xmed array
double xmed[n];
int k,i,j;
for (i=0; i<n; i++) {
k=0;
for (j=0; j<n; j++) {
if(*(x+i)>*(x+j))
k++;
if (*(x+i)==*(x+j)) {
if (i>j)
k++;
}
}
xmed[k]=*(x+i);
}
k=n/2;
return xmed[k];
}
int energyCalibrationFunctions::quick_select(int arr[], int n){
int low, high ;
int median;
int middle, ll, hh;
low = 0 ; high = n-1 ; median = (low + high) / 2;
for (;;) {
if (high <= low) /* One element only */
return arr[median] ;
if (high == low + 1) { /* Two elements only */
if (arr[low] > arr[high])
ELEM_SWAP(arr[low], arr[high]) ;
return arr[median] ;
}
/* Find median of low, middle and high items; swap into position low */
middle = (low + high) / 2;
if (arr[middle] > arr[high]) ELEM_SWAP(arr[middle], arr[high]) ;
if (arr[low] > arr[high]) ELEM_SWAP(arr[low], arr[high]) ;
if (arr[middle] > arr[low]) ELEM_SWAP(arr[middle], arr[low]) ;
/* Swap low item (now in position middle) into position (low+1) */
ELEM_SWAP(arr[middle], arr[low+1]) ;
/* Nibble from each end towards middle, swapping items when stuck */
ll = low + 1;
hh = high;
for (;;) {
do ll++; while (arr[low] > arr[ll]) ;
do hh--; while (arr[hh] > arr[low]) ;
if (hh < ll)
break;
ELEM_SWAP(arr[ll], arr[hh]) ;
}
/* Swap middle item (in position low) back into correct position */
ELEM_SWAP(arr[low], arr[hh]) ;
/* Re-set active partition */
if (hh <= median)
low = ll;
if (hh >= median)
high = hh - 1;
}
}
int energyCalibrationFunctions::kth_smallest(int *a, int n, int k){
register int i,j,l,m ;
register double x ;
l=0 ; m=n-1 ;
while (l<m) {
x=a[k] ;
i=l ;
j=m ;
do {
while (a[i]<x) i++ ;
while (x<a[j]) j-- ;
if (i<=j) {
ELEM_SWAP(a[i],a[j]) ;
i++ ; j-- ;
}
} while (i<=j) ;
if (j<k) l=i ;
if (k<i) m=j ;
}
return a[k] ;
}
#ifdef MYROOT
Double_t energyCalibrationFunctions::spectrum(Double_t *x, Double_t *par) {
return gaussChargeSharing(x,par);
}
Double_t energyCalibrationFunctions::spectrumPixel(Double_t *x, Double_t *par) {
return gaussChargeSharingPixel(x,par);
}
Double_t energyCalibrationFunctions::scurve(Double_t *x, Double_t *par) {
return erfFunctionChargeSharing(x,par);
}
Double_t energyCalibrationFunctions::scurveFluo(Double_t *x, Double_t *par) {
return erfFuncFluo(x,par);
}
#endif
energyCalibration::energyCalibration() :
#ifdef MYROOT
fit_min(-1),
fit_max(-1),
bg_offset(-1),
bg_slope(-1),
flex(-1),
noise(-1),
ampl(-1),
cs_slope(-1),
fscurve(NULL),
fspectrum(NULL),
#endif
funcs(NULL),
plot_flag(1), // fit parameters output to screen
cs_flag(1)
{
#ifdef MYROOT
funcs=new energyCalibrationFunctions();
fscurve=new TF1("fscurve",funcs,&energyCalibrationFunctions::scurve,0,1000,6,"energyCalibrationFunctions","scurve");
fscurve->SetParNames("Background Offset","Background Slope","Inflection Point","Noise RMS", "Number of Photons","Charge Sharing Slope");
fspectrum=new TF1("fspectrum",funcs,&energyCalibrationFunctions::spectrum,0,1000,6,"energyCalibrationFunctions","spectrum");
fspectrum->SetParNames("Background Pedestal","Background slope", "Peak position","Noise RMS", "Number of Photons","Charge Sharing Pedestal");
fspixel=new TF1("fspixel",funcs,&energyCalibrationFunctions::spectrumPixel,0,1000,7,"energyCalibrationFunctions","spectrumPixel");
fspixel->SetParNames("Background Pedestal","Background slope", "Peak position","Noise RMS", "Number of Photons","Charge Sharing Pedestal","Corner");
#endif
}
void energyCalibration::fixParameter(int ip, Double_t val){
fscurve->FixParameter(ip, val);
fspectrum->FixParameter(ip, val);
}
void energyCalibration::releaseParameter(int ip){
fscurve->ReleaseParameter(ip);
fspectrum->ReleaseParameter(ip);
}
energyCalibration::~energyCalibration(){
#ifdef MYROOT
delete fscurve;
delete fspectrum;
#endif
}
#ifdef MYROOT
TH1F* energyCalibration::createMedianHistogram(TH2F* h2, int ch0, int nch, int direction) {
if (h2==NULL || nch==0)
return NULL;
double *x=new double[nch];
TH1F *h1=NULL;
double val=-1;
if (direction==0) {
h1=new TH1F("median","Median",h2->GetYaxis()->GetNbins(),h2->GetYaxis()->GetXmin(),h2->GetYaxis()->GetXmax());
for (int ib=0; ib<h1->GetXaxis()->GetNbins(); ib++) {
for (int ich=0; ich<nch; ich++) {
x[ich]=h2->GetBinContent(ch0+ich+1,ib+1);
}
val=energyCalibrationFunctions::median(x, nch);
h1->SetBinContent(ib+1,val);
}
} else if (direction==1) {
h1=new TH1F("median","Median",h2->GetXaxis()->GetNbins(),h2->GetXaxis()->GetXmin(),h2->GetXaxis()->GetXmax());
for (int ib=0; ib<h1->GetYaxis()->GetNbins(); ib++) {
for (int ich=0; ich<nch; ich++) {
x[ich]=h2->GetBinContent(ib+1,ch0+ich+1);
}
val=energyCalibrationFunctions::median(x, nch);
h1->SetBinContent(ib+1,val);
}
}
delete [] x;
return h1;
}
void energyCalibration::setStartParameters(Double_t *par){
bg_offset=par[0];
bg_slope=par[1];
flex=par[2];
noise=par[3];
ampl=par[4];
cs_slope=par[5];
}
void energyCalibration::getStartParameters(Double_t *par){
par[0]=bg_offset;
par[1]=bg_slope;
par[2]=flex;
par[3]=noise;
par[4]=ampl;
par[5]=cs_slope;
}
#endif
int energyCalibration::setChargeSharing(int p) {
if (p>=0) {
cs_flag=p;
#ifdef MYROOT
if (p) {
fscurve->ReleaseParameter(5);
fspectrum->ReleaseParameter(1);
} else {
fscurve->FixParameter(5,0);
fspectrum->FixParameter(1,0);
}
#endif
}
return cs_flag;
}
#ifdef MYROOT
void energyCalibration::initFitFunction(TF1 *fun, TH1 *h1) {
Double_t min=fit_min, max=fit_max;
Double_t mypar[6];
if (max==-1)
max=h1->GetXaxis()->GetXmax();
if (min==-1)
min=h1->GetXaxis()->GetXmin();
if (bg_offset==-1)
mypar[0]=0;
else
mypar[0]=bg_offset;
if (bg_slope==-1)
mypar[1]=0;
else
mypar[1]=bg_slope;
if (flex==-1)
mypar[2]=(min+max)/2.;
else
mypar[2]=flex;
if (noise==-1)
mypar[3]=0.1;
else
mypar[3]=noise;
if (ampl==-1)
mypar[4]=h1->GetBinContent(h1->GetXaxis()->FindBin(0.5*(max+min)));
else
mypar[4]=ampl;
if (cs_slope==-1)
mypar[5]=0;
else
mypar[5]=cs_slope;
fun->SetParameters(mypar);
fun->SetRange(min,max);
}
TF1* energyCalibration::fitFunction(TF1 *fun, TH1 *h1, Double_t *mypar, Double_t *emypar) {
TF1* fitfun;
char fname[100];
strcpy(fname, fun->GetName());
if (plot_flag) {
h1->Fit(fname,"R0Q");
} else
h1->Fit(fname,"R0Q");
fitfun= h1->GetFunction(fname);
fitfun->GetParameters(mypar);
for (int ip=0; ip<6; ip++) {
emypar[ip]=fitfun->GetParError(ip);
}
return fitfun;
}
TF1* energyCalibration::fitSCurve(TH1 *h1, Double_t *mypar, Double_t *emypar) {
initFitFunction(fscurve,h1);
return fitFunction(fscurve, h1, mypar, emypar);
}
TF1* energyCalibration::fitSpectrum(TH1 *h1, Double_t *mypar, Double_t *emypar) {
initFitFunction(fspectrum,h1);
return fitFunction(fspectrum, h1, mypar, emypar);
}
TF1* energyCalibration::fitSpectrumPixel(TH1 *h1, Double_t *mypar, Double_t *emypar) {
initFitFunction(fspixel,h1);
return fitFunction(fspixel, h1, mypar, emypar);
}
TGraphErrors* energyCalibration::linearCalibration(int nscan, Double_t *en, Double_t *een, Double_t *fl, Double_t *efl, Double_t &gain, Double_t &off, Double_t &egain, Double_t &eoff) {
TGraphErrors *gr;
Double_t mypar[2];
gr = new TGraphErrors(nscan,en,fl,een,efl);
if (plot_flag) {
gr->Fit("pol1");
gr->SetMarkerStyle(20);
} else
gr->Fit("pol1","0Q");
TF1 *fitfun= gr->GetFunction("pol1");
fitfun->GetParameters(mypar);
egain=fitfun->GetParError(1);
eoff=fitfun->GetParError(0);
gain=funcs->setScanSign()*mypar[1];
off=mypar[0];
return gr;
}
TGraphErrors* energyCalibration::calibrate(int nscan, Double_t *en, Double_t *een, TH1F **h1, Double_t &gain, Double_t &off, Double_t &egain, Double_t &eoff, int integral) {
TH1F *h;
Double_t mypar[6], emypar[6];
Double_t fl[nscan], efl[nscan];
for (int ien=0; ien<nscan; ien++) {
h=h1[ien];
if (integral)
fitSCurve(h,mypar,emypar);
else
fitSpectrum(h,mypar,emypar);
fl[ien]=mypar[2];
efl[ien]=emypar[2];
}
return linearCalibration(nscan,en,een,fl,efl,gain,off, egain, eoff);
}
#endif
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