Logo ROOT   6.14/05
Reference Guide
ContourList.C File Reference

Detailed Description

View in nbviewer Open in SWAN Getting Contours From TH2D.

Image produced by .x ContourList.C

The contours values are drawn next to each contour.

pict1_ContourList.C.png
pict2_ContourList.C.png

Output produced by .x ContourList.C

It shows that 6 contours and 12 graphs were found.

Processing /mnt/build/workspace/root-makedoc-v614/rootspi/rdoc/src/v6-14-00-patches/tutorials/hist/ContourList.C...
TotalConts = 6
Contour 0 has 2 Graphs
Contour 1 has 2 Graphs
Contour 2 has 2 Graphs
Contour 3 has 2 Graphs
Contour 4 has 2 Graphs
Contour 5 has 2 Graphs
Z-Level Passed in as: Z = -0.100000
Graph: 1 -- 147 Elements
Graph: 2 -- 147 Elements
Z-Level Passed in as: Z = -0.500000
Graph: 3 -- 93 Elements
Graph: 4 -- 93 Elements
Z-Level Passed in as: Z = -0.700000
Graph: 5 -- 65 Elements
Graph: 6 -- 65 Elements
Z-Level Passed in as: Z = 0.100000
Graph: 7 -- 147 Elements
Graph: 8 -- 147 Elements
Z-Level Passed in as: Z = 0.400000
Graph: 9 -- 107 Elements
Graph: 10 -- 107 Elements
Z-Level Passed in as: Z = 0.800000
Graph: 11 -- 49 Elements
Graph: 12 -- 49 Elements
Extracted 6 Contours and 12 Graphs
(TCanvas *) 0x26376d0

ContourList.C

Double_t SawTooth(Double_t x, Double_t WaveLen);
TCanvas *ContourList(){
const Double_t PI = TMath::Pi();
TCanvas* c = new TCanvas("c","Contour List",0,0,600,600);
c->SetRightMargin(0.15);
c->SetTopMargin(0.15);
Int_t i, j;
Int_t nZsamples = 80;
Int_t nPhiSamples = 80;
Double_t HofZwavelength = 4.0; // 4 meters
Double_t dZ = HofZwavelength/(Double_t)(nZsamples - 1);
Double_t dPhi = 2*PI/(Double_t)(nPhiSamples - 1);
TArrayD z(nZsamples);
TArrayD HofZ(nZsamples);
TArrayD phi(nPhiSamples);
TArrayD FofPhi(nPhiSamples);
// Discretized Z and Phi Values
for ( i = 0; i < nZsamples; i++) {
z[i] = (i)*dZ - HofZwavelength/2.0;
HofZ[i] = SawTooth(z[i], HofZwavelength);
}
for(Int_t i=0; i < nPhiSamples; i++){
phi[i] = (i)*dPhi;
FofPhi[i] = sin(phi[i]);
}
// Create Histogram
TH2D *HistStreamFn = new TH2D("HstreamFn",
"#splitline{Histogram with negative and positive contents. Six contours are defined.}{It is plotted with options CONT LIST to retrieve the contours points in TGraphs}",
nZsamples, z[0], z[nZsamples-1], nPhiSamples, phi[0], phi[nPhiSamples-1]);
// Load Histogram Data
for (Int_t i = 0; i < nZsamples; i++) {
for(Int_t j = 0; j < nPhiSamples; j++){
HistStreamFn->SetBinContent(i,j, HofZ[i]*FofPhi[j]);
}
}
gStyle->SetTitleW(0.99);
gStyle->SetTitleH(0.08);
Double_t contours[6];
contours[0] = -0.7;
contours[1] = -0.5;
contours[2] = -0.1;
contours[3] = 0.1;
contours[4] = 0.4;
contours[5] = 0.8;
HistStreamFn->SetContour(6, contours);
// Draw contours as filled regions, and Save points
HistStreamFn->Draw("CONT Z LIST");
c->Update(); // Needed to force the plotting and retrieve the contours in TGraphs
// Get Contours
TObjArray *conts = (TObjArray*)gROOT->GetListOfSpecials()->FindObject("contours");
TList* contLevel = NULL;
TGraph* curv = NULL;
TGraph* gc = NULL;
Int_t nGraphs = 0;
Int_t TotalConts = 0;
if (conts == NULL){
printf("*** No Contours Were Extracted!\n");
TotalConts = 0;
return 0;
} else {
TotalConts = conts->GetSize();
}
printf("TotalConts = %d\n", TotalConts);
for(i = 0; i < TotalConts; i++){
contLevel = (TList*)conts->At(i);
printf("Contour %d has %d Graphs\n", i, contLevel->GetSize());
nGraphs += contLevel->GetSize();
}
nGraphs = 0;
TCanvas* c1 = new TCanvas("c1","Contour List",610,0,600,600);
c1->SetTopMargin(0.15);
TH2F *hr = new TH2F("hr",
"#splitline{Negative contours are returned first (highest to lowest). Positive contours are returned from}{lowest to highest. On this plot Negative contours are drawn in red and positive contours in blue.}",
2, -2, 2, 2, 0, 6.5);
hr->Draw();
Double_t xval0, yval0, zval0;
l.SetTextSize(0.03);
char val[20];
for(i = 0; i < TotalConts; i++){
contLevel = (TList*)conts->At(i);
if (i<3) zval0 = contours[2-i];
else zval0 = contours[i];
printf("Z-Level Passed in as: Z = %f\n", zval0);
// Get first graph from list on curves on this level
curv = (TGraph*)contLevel->First();
for(j = 0; j < contLevel->GetSize(); j++){
curv->GetPoint(0, xval0, yval0);
if (zval0<0) curv->SetLineColor(kRed);
if (zval0>0) curv->SetLineColor(kBlue);
nGraphs ++;
printf("\tGraph: %d -- %d Elements\n", nGraphs,curv->GetN());
// Draw clones of the graphs to avoid deletions in case the 1st
// pad is redrawn.
gc = (TGraph*)curv->Clone();
gc->Draw("C");
sprintf(val,"%g",zval0);
l.DrawLatex(xval0,yval0,val);
curv = (TGraph*)contLevel->After(curv); // Get Next graph
}
}
c1->Update();
printf("\n\n\tExtracted %d Contours and %d Graphs \n", TotalConts, nGraphs );
return c1;
}
Double_t SawTooth(Double_t x, Double_t WaveLen){
// This function is specific to a sawtooth function with period
// WaveLen, symmetric about x = 0, and with amplitude = 1. Each segment
// is 1/4 of the wavelength.
//
// |
// /\ |
// / \ |
// / \ |
// / \
// /--------\--------/------------
// |\ /
// | \ /
// | \ /
// | \/
//
if ( (x < -WaveLen/2) || (x > WaveLen/2)) y = -99999999; // Error X out of bounds
if (x <= -WaveLen/4) {
y = x + 2.0;
} else if ((x > -WaveLen/4) && (x <= WaveLen/4)) {
y = -x ;
} else if (( x > WaveLen/4) && (x <= WaveLen/2)) {
y = x - 2.0;
}
return y;
}
Authors
Josh de Bever (CSI Medical Physics Group, The University of Western Ontario, London, Ontario, Canada), Olivier Couet

Definition in file ContourList.C.