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JCOMPAREHISTOGRAMS::JTestKolmogorov_t Class Reference

Implementation of the different Kolmogorov-related tests. More...

#include <JTestKolmogorov_t.hh>

Inheritance diagram for JCOMPAREHISTOGRAMS::JTestKolmogorov_t:
JCOMPAREHISTOGRAMS::JTestKolmogorov_1D JCOMPAREHISTOGRAMS::JTestKolmogorov_2D JCOMPAREHISTOGRAMS::JTestKolmogorovSlice

Public Member Functions

 JTestKolmogorov_t ()
 Default constructor. More...
 
JTestResult JKolmogorovTest (TH1 *h1, TH1 *h2, double threshold, std::string testName, std::string parameterName)
 Kolmogorov test for 1D histograms. More...
 
JTestResult JKolmogorovTestSlice (TH2 *h1, TH2 *h2, double threshold, double failuresThreshold, std::string testName, std::string parameterName, char slice)
 Kolmogorov test for sliced 2D histograms. More...
 
JTestResult JKolmogorovTest2D (TH2 *h1, TH2 *h2, double threshold, std::string testName, std::string parameterName)
 Kolmogorov test for 2D histograms. More...
 

Detailed Description

Implementation of the different Kolmogorov-related tests.

Definition at line 21 of file JTestKolmogorov_t.hh.

Constructor & Destructor Documentation

JCOMPAREHISTOGRAMS::JTestKolmogorov_t::JTestKolmogorov_t ( )
inline

Default constructor.

Definition at line 27 of file JTestKolmogorov_t.hh.

27 {}

Member Function Documentation

JTestResult JCOMPAREHISTOGRAMS::JTestKolmogorov_t::JKolmogorovTest ( TH1 *  h1,
TH1 *  h2,
double  threshold,
std::string  testName,
std::string  parameterName 
)
inline

Kolmogorov test for 1D histograms.


The input parameter threshold, is used to evaluate whether the test is passed or failed.
The evaluation is done by comparing the threshold value with the result of the Kolmogorov test. The output of a Kolmogorov test is a p-value.
The parameter threshold should therefore be a real value between 0 and 1.

Parameters
h1First histogram
h2Second historgram
thresholdp-value
parameterNameName of the parameter used to test the histograms
testNameName of the test used to compare the histograms
Returns
Test result

Definition at line 43 of file JTestKolmogorov_t.hh.

43  {
44 
45  using namespace std;
46  using namespace JPP;
47 
48  int n1 = h1 -> GetNbinsX();
49  int n2 = h2 -> GetNbinsX();
50 
51  if(n1 != n2)
52  ERROR("Histograms with different bining. The objects: " << h1 -> GetName() << " can not be compared." << endl);
53 
54  TH2D* h3 = (TH2D*)h1->Clone(h1->GetName()==h2->GetName() ?
55  MAKE_CSTRING(to_string(h1->GetName())) :
56  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
57 
58  bool afunc1 = false;
59  bool afunc2 = false;
60  double s1 = 1./h1->Integral();
61  double s2 = 1./h2->Integral();
62 
63  double ew1, ew2, w1 = 0, w2 = 0;
64 
65  for (int bin = 1; bin <= n1; ++bin){
66  ew1 = h1->GetBinError(bin);
67  ew2 = h2->GetBinError(bin);
68  w1 += ew1*ew1;
69  w2 += ew2*ew2;
70  }
71 
72  double esum1 = 0, esum2 = 0;
73  if (w1 > 0)
74  esum1 = 1./s1/s1/w1;
75  else
76  afunc1 = true;
77  if (w2 > 0)
78  esum2 = 1./s2/s2/w2;
79  else
80  afunc2 = true;
81  if (afunc2 && afunc1) {
82  ERROR("Errors are zero for both histograms\n");
83  }
84 
85  double c1 = 0, c2 = 0;
86 
87  double dmax = 0;
88  for (int bin=1 ; bin<=n1 ; ++bin){
89  c1 += s1*h1->GetBinContent(bin);
90  c2 += s2*h2->GetBinContent(bin);
91  double d = TMath::Abs(c1-c2)*TMath::Sqrt(esum1*esum2/(esum1+esum2));
92  double p = TMath::KolmogorovProb(d);
93  h3->SetBinContent(bin,p);
94  dmax = TMath::Max(dmax,TMath::Abs(c1-c2));
95  }
96 
97  double z;
98 
99  if (afunc1)
100  z = dmax*TMath::Sqrt(esum2);
101  else if (afunc2)
102  z = dmax*TMath::Sqrt(esum1);
103  else
104  z = dmax*TMath::Sqrt(esum1*esum2/(esum1+esum2));
105 
106  double pValue = TMath::KolmogorovProb(z);
107 
108  bool passed;
109 
110  (pValue < threshold ? passed = false : passed = true);
111 
112  JResultTitle title(testName, parameterName, passed , pValue);
113 
114  h3->SetTitle(title.getTitle().c_str());
115 
116  JTestResult r (testName,
117  JRootObjectID(MAKE_STRING(h1->GetDirectory()->GetPath() << h1->GetName())),
118  JRootObjectID(MAKE_STRING(h2->GetDirectory()->GetPath() << h1->GetName())),
119  parameterName, pValue, threshold, h3, passed);
120 
121  return r;
122  };
MAKE_CSTRING
#define MAKE_CSTRING(A)
Make C-string.
Definition: JPrint.hh:151
h1
then for HISTOGRAM in h0 h1
Definition: JMatrixNZ.sh:71
JTOOLS::r
data_type r[M+1]
Definition: JPolint.hh:758
MAKE_STRING
#define MAKE_STRING(A)
Make string.
Definition: JPrint.hh:142
ERROR
#define ERROR(A)
Definition: JMessage.hh:66
c1
TCanvas * c1
Global variables to handle mouse events.
Definition: JDrawModule3D.cc:34
d
then JMuonMCEvt f $INPUT_FILE o $INTERMEDIATE_FILE d
Definition: JMuonPath.sh:47
JLANG::to_string
std::string to_string(const T &value)
Convert value to string.
Definition: JLangToolkit.hh:207
JTestResult JCOMPAREHISTOGRAMS::JTestKolmogorov_t::JKolmogorovTestSlice ( TH2 *  h1,
TH2 *  h2,
double  threshold,
double  failuresThreshold,
std::string  testName,
std::string  parameterName,
char  slice 
)
inline

Kolmogorov test for sliced 2D histograms.


The histograms are sliced along the axis specified by the slice parameter. A slice per bin is made.
For each of the slices, the input parameter threshold is used to evaluate whether the test is passed or failed.
The evaluation is done by comparing the threshold value with the result of the Kolmogorov test. The output of the Kolmogorov test is a p-value.
The parameter threshold should therefore be a real value between 0 and 1. The fraction of failed tests is compared to the input parameter failuresThreshold. If this fraction is larger than failuresThreshold, the test fails.

Parameters
h1First histogram
h2Second histogram
thresholdThreshold value for the test result
failuresThresholdThreshold value for the test result
parameterNameName of the parameter used to test the histograms
testNameName of the test used to compare the histograms
sliceThe axis along which the histogram is sliced.
Returns
Test result.

Definition at line 143 of file JTestKolmogorov_t.hh.

143  {
144 
145  using namespace std;
146  using namespace JPP;
147 
148  int nFailures = 0;
149 
150  JTestResult r;
151 
152  if(slice == 'x' || slice == 'X'){
153 
154  int nSlices1 = h1->GetNbinsX();
155  int nSlices2 = h2->GetNbinsX();
156 
157  TH1* h3 = h1->ProjectionX(h1->GetName()==h2->GetName() ?
158  MAKE_CSTRING(to_string(h1->GetName())) :
159  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
160 
161  if(nSlices1 != nSlices2)
162  ERROR("Histograms with different binning. The objects: " << h1->GetName() << " and " << h2->GetName() << " can not be compared." << endl);
163 
164  for (int i=1 ; i<=nSlices1 ; ++i){
165 
166  std::string sliceName = MAKE_STRING(h1->GetName() + to_string("_") + to_string(i));
167 
168  TH1D* s1 = h1->ProjectionY (sliceName.c_str(),i,i);
169  TH1D* s2 = h2->ProjectionY (sliceName.c_str(),i,i);
170 
171  double p = s1 -> KolmogorovTest (s2);
172 
173  bool passed;
174 
175  (p < threshold ? passed = false : passed = true);
176 
177  if (!passed) nFailures++;
178 
179  h3->SetBinContent(i,p);
180 
181  }
182 
183  bool passed;
184 
185  (nFailures/nSlices1 > failuresThreshold ? passed = false : passed = true);
186 
187  JResultTitle title(testName, parameterName, passed , nFailures);
188 
189  h3->SetTitle(title.getTitle().c_str());
190 
191  r = JTestResult (testName,
192  JRootObjectID(MAKE_STRING(h1->GetDirectory()->GetPath() << h1->GetName())),
193  JRootObjectID(MAKE_STRING(h2->GetDirectory()->GetPath() << h1->GetName())),
194  parameterName, nFailures, failuresThreshold, h3, passed);
195 
196  }else if (slice == 'y' || slice == 'Y'){
197 
198  int nSlices1 = h1->GetNbinsY();
199  int nSlices2 = h2->GetNbinsY();
200 
201  TH1* h3 = h1->ProjectionY(h1->GetName()==h2->GetName() ?
202  MAKE_CSTRING(to_string(h1->GetName())) :
203  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
204 
205  if(nSlices1 != nSlices2)
206  ERROR("Histograms with different binning. The objects: " << h1->GetName() << " can not be compared." << endl);
207 
208  for (int i=1 ; i<=nSlices1 ; ++i){
209 
210  std::string sliceName = MAKE_STRING(h1->GetName() + to_string("_") + to_string(i));
211 
212  TH1D* s1 = h1->ProjectionX (sliceName.c_str(),i,i);
213  TH1D* s2 = h2->ProjectionX (sliceName.c_str(),i,i);
214 
215  double p = s1 -> KolmogorovTest (s2);
216 
217  bool passed;
218 
219  (p < threshold ? passed = false : passed = true);
220 
221  if (!passed) nFailures++;
222 
223  h3->SetBinContent(i,p);
224  }
225 
226  bool passed;
227 
228  (nFailures/nSlices1 > failuresThreshold ? passed = false : passed = true);
229 
230  JResultTitle title(testName, parameterName, passed , nFailures);
231 
232  h3->SetTitle(title.getTitle().c_str());
233 
234  r = JTestResult (testName,
235  JRootObjectID(MAKE_STRING(h1->GetDirectory()->GetPath() << h1->GetName())),
236  JRootObjectID(MAKE_STRING(h2->GetDirectory()->GetPath() << h1->GetName())),
237  parameterName, nFailures, failuresThreshold, h3, passed);
238 
239  }
240 
241  return r;
242  };
MAKE_CSTRING
#define MAKE_CSTRING(A)
Make C-string.
Definition: JPrint.hh:151
h1
then for HISTOGRAM in h0 h1
Definition: JMatrixNZ.sh:71
JTOOLS::r
data_type r[M+1]
Definition: JPolint.hh:758
MAKE_STRING
#define MAKE_STRING(A)
Make string.
Definition: JPrint.hh:142
ERROR
#define ERROR(A)
Definition: JMessage.hh:66
JLANG::to_string
std::string to_string(const T &value)
Convert value to string.
Definition: JLangToolkit.hh:207
JTestResult JCOMPAREHISTOGRAMS::JTestKolmogorov_t::JKolmogorovTest2D ( TH2 *  h1,
TH2 *  h2,
double  threshold,
std::string  testName,
std::string  parameterName 
)
inline

Kolmogorov test for 2D histograms.


The input parameter threshold, is used to evaluate whether the test is passed or failed.
The evaluation is done by comparing the threshold value with the result of the Kolmogorov test. The output of a Kolmogorov test is a p-value.
The parameter threshold should therefore be a real value between 0 and 1.

Parameters
h1First histogram
h2Second historgram
thresholdp-value
parameterNameName of the parameter used to test the histograms
testNameName of the test used to compare the histograms
Returns
Test result

Definition at line 260 of file JTestKolmogorov_t.hh.

260  {
261 
262  using namespace std;
263  using namespace JPP;
264 
265  int n1x = h1 -> GetNbinsX();
266  int n2x = h2 -> GetNbinsX();
267  int n1y = h1 -> GetNbinsY();
268  int n2y = h2 -> GetNbinsY();
269 
270  if(n1x != n2x || n1y != n2y)
271  ERROR("Histograms with different bining. The objects: " << h1 -> GetName() << " can not be compared." << endl);
272 
273  if(h1->Integral()==0 || h2->Integral()==0)
274  ERROR("Empty histogram: " << h1 -> GetName() << " can not be compared." << endl);
275 
276  double s1 = 1./h1->Integral();
277  double s2 = 1./h2->Integral();
278 
279  TH2D* h3 = (TH2D*)h1->Clone(h1->GetName()==h2->GetName() ?
280  MAKE_CSTRING(to_string(h1->GetName())) :
281  MAKE_CSTRING(to_string(h1->GetName()) + "_VS_" + to_string(h2->GetName())));
282 
283  bool afunc1 = false;
284  bool afunc2 = false;
285 
286  double ew1, ew2, w1 = 0, w2 = 0;
287 
288  for (int i = 1; i <= n1x; ++i){
289  for (int j = 1; j <= n1y; ++j){
290  ew1 = h1->GetBinError(i,j);
291  ew2 = h2->GetBinError(i,j);
292  w1 += ew1*ew1;
293  w2 += ew2*ew2;
294  }
295  }
296 
297  double esum1 = 0, esum2 = 0;
298  if (w1 > 0)
299  esum1 = 1./s1/s1/w1;
300  else
301  afunc1 = true;
302  if (w2 > 0)
303  esum2 = 1./s2/s2/w2;
304  else
305  afunc2 = true;
306  if (afunc2 && afunc1) {
307  ERROR("Errors are zero for both histograms\n");
308  }
309 
310  double c1 = 0, c2 = 0;
311 
312  double dmax1 = 0;
313  for (int i=1 ; i<=n1x ; ++i){
314  for (int j=1 ; j<=n1y ; ++j){
315  c1 += s1*h1->GetBinContent(i,j);
316  c2 += s2*h2->GetBinContent(i,j);
317  double d = TMath::Abs(c1-c2)*TMath::Sqrt(esum1*esum2/(esum1+esum2));
318  h3->Fill(i,j,d);
319  dmax1 = TMath::Max(dmax1,TMath::Abs(c1-c2));
320  }
321  }
322 
323  c1 = 0, c2 = 0;
324 
325  double dmax2 = 0;
326  for (int j=1 ; j<=n1y ; ++j){
327  for (int i=1 ; i<=n1x ; ++i){
328  c1 += s1*h1->GetBinContent(i,j);
329  c2 += s2*h2->GetBinContent(i,j);
330  double d = TMath::Abs(c1-c2)*TMath::Sqrt(esum1*esum2/(esum1+esum2));
331  h3->Fill(i,j,d);
332  dmax1 = TMath::Max(dmax2,TMath::Abs(c1-c2));
333  }
334  }
335 
336  double dmax = 0.5*(dmax1+dmax2);
337  double z;
338 
339  if (afunc1)
340  z = dmax*TMath::Sqrt(esum2);
341  else if (afunc2)
342  z = dmax*TMath::Sqrt(esum1);
343  else
344  z = dmax*TMath::Sqrt(esum1*esum2/(esum1+esum2));
345 
346  double pValue = TMath::KolmogorovProb(z);
347 
348  for (int i=1 ; i<=n1x ; ++i){
349  for (int j=1 ; j<=n1y ; ++j){
350  h3->SetBinContent(i,j,TMath::KolmogorovProb(0.5 * h3->GetBinContent(i,j)));
351  }
352  }
353 
354  bool passed;
355 
356  (pValue < threshold ? passed = false : passed = true);
357 
358  JResultTitle title(testName, parameterName, passed , pValue);
359 
360  h3->SetTitle(title.getTitle().c_str());
361 
362  JTestResult r (testName,
363  JRootObjectID(MAKE_STRING(h1->GetDirectory()->GetPath() << h1->GetName())),
364  JRootObjectID(MAKE_STRING(h2->GetDirectory()->GetPath() << h1->GetName())),
365  parameterName, pValue, threshold, h3, passed);
366 
367  return r;
368  };
MAKE_CSTRING
#define MAKE_CSTRING(A)
Make C-string.
Definition: JPrint.hh:151
h1
then for HISTOGRAM in h0 h1
Definition: JMatrixNZ.sh:71
JTOOLS::r
data_type r[M+1]
Definition: JPolint.hh:758
MAKE_STRING
#define MAKE_STRING(A)
Make string.
Definition: JPrint.hh:142
ERROR
#define ERROR(A)
Definition: JMessage.hh:66
c1
TCanvas * c1
Global variables to handle mouse events.
Definition: JDrawModule3D.cc:34
d
then JMuonMCEvt f $INPUT_FILE o $INTERMEDIATE_FILE d
Definition: JMuonPath.sh:47
JLANG::to_string
std::string to_string(const T &value)
Convert value to string.
Definition: JLangToolkit.hh:207
JTOOLS::j
int j
Definition: JPolint.hh:682
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