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4c039060 | 1 | /************************************************************************** |
2 | * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. * | |
3 | * * | |
4 | * Author: The ALICE Off-line Project. * | |
5 | * Contributors are mentioned in the code where appropriate. * | |
6 | * * | |
7 | * Permission to use, copy, modify and distribute this software and its * | |
8 | * documentation strictly for non-commercial purposes is hereby granted * | |
9 | * without fee, provided that the above copyright notice appears in all * | |
10 | * copies and that both the copyright notice and this permission notice * | |
11 | * appear in the supporting documentation. The authors make no claims * | |
12 | * about the suitability of this software for any purpose. It is * | |
13 | * provided "as is" without express or implied warranty. * | |
14 | **************************************************************************/ | |
15 | ||
f531a546 | 16 | // $Id$ |
4c039060 | 17 | |
959fbac5 | 18 | /////////////////////////////////////////////////////////////////////////// |
19 | // Class AliSample | |
6516b62d | 20 | // Perform statistics on various multi-dimensional data samples. |
959fbac5 | 21 | // A data sample can be filled using the "Enter" and/or "Remove" functions, |
22 | // whereas the "Reset" function resets the complete sample to 'empty'. | |
23 | // The info which can be extracted from a certain data sample are the | |
24 | // sum, mean, variance, sigma, covariance and correlation. | |
84bb7c66 | 25 | // The "Data" function provides all statistics data for a certain sample. |
959fbac5 | 26 | // The variables for which these stat. parameters have to be calculated |
27 | // are indicated by the index of the variable which is passed as an | |
28 | // argument to the various member functions. | |
29 | // The index convention for a data point (x,y) is : x=1 y=2 | |
30 | // | |
31 | // Example : | |
32 | // --------- | |
33 | // For an AliSample s a data point (x,y) can be entered as s.Enter(x,y) and | |
34 | // the mean_x can be obtained as s.GetMean(1) whereas the mean_y is obtained | |
35 | // via s.GetMean(2). | |
36 | // The correlation between x and y is available via s.GetCor(1,2). | |
84bb7c66 | 37 | // The x-statistics are obtained via s.Data(1), y-statistics via s.Data(2), |
38 | // and the covariance and correlation between x and y via s.Data(1,2). | |
39 | // All statistics of a sample are obtained via s.Data(). | |
959fbac5 | 40 | // |
41 | //--- Author: Nick van Eijndhoven 30-mar-1996 CERN Geneva | |
f531a546 | 42 | //- Modified: NvE $Date$ UU-SAP Utrecht |
959fbac5 | 43 | /////////////////////////////////////////////////////////////////////////// |
44 | ||
d88f97cc | 45 | #include "AliSample.h" |
c72198f1 | 46 | #include "Riostream.h" |
d88f97cc | 47 | |
6516b62d | 48 | ClassImp(AliSample) // Class implementation to enable ROOT I/O |
49 | ||
d88f97cc | 50 | AliSample::AliSample() |
51 | { | |
52 | // Creation of an Aliample object and resetting the statistics values | |
53 | // The dimension is initialised to maximum | |
54 | fDim=fMaxdim; | |
55 | fNames[0]='X'; | |
56 | fNames[1]='Y'; | |
57 | fNames[2]='Z'; | |
58 | fN=0; | |
59 | Reset(); | |
60 | } | |
61 | /////////////////////////////////////////////////////////////////////////// | |
62 | AliSample::~AliSample() | |
63 | { | |
64 | // Default destructor | |
65 | } | |
66 | /////////////////////////////////////////////////////////////////////////// | |
67 | void AliSample::Reset() | |
68 | { | |
69 | // Resetting the statistics values for a certain Sample object | |
70 | // Dimension is NOT changed | |
71 | fN=0; | |
72 | for (Int_t i=0; i<fDim; i++) | |
73 | { | |
74 | fSum[i]=0.; | |
75 | fMean[i]=0.; | |
76 | fVar[i]=0.; | |
77 | fSigma[i]=0.; | |
78 | for (Int_t j=0; j<fDim; j++) | |
79 | { | |
80 | fSum2[i][j]=0.; | |
81 | fCov[i][j]=0.; | |
82 | fCor[i][j]=0.; | |
83 | } | |
84 | } | |
85 | } | |
86 | /////////////////////////////////////////////////////////////////////////// | |
87 | void AliSample::Enter(Float_t x) | |
88 | { | |
89 | // Entering a value into a 1-dim. sample | |
90 | // In case of first entry the dimension is set to 1 | |
91 | if (fN == 0) | |
92 | { | |
93 | fDim=1; | |
94 | fNames[0]='X'; | |
95 | fNames[1]='-'; | |
96 | fNames[2]='-'; | |
97 | } | |
98 | if (fDim != 1) | |
99 | { | |
100 | cout << " *AliSample::enter* Error : Not a 1-dim sample." << endl; | |
101 | } | |
102 | else | |
103 | { | |
104 | fN+=1; | |
105 | fSum[0]+=x; | |
106 | fSum2[0][0]+=x*x; | |
107 | Compute(); | |
108 | } | |
109 | } | |
110 | /////////////////////////////////////////////////////////////////////////// | |
111 | void AliSample::Remove(Float_t x) | |
112 | { | |
113 | // Removing a value from a 1-dim. sample | |
114 | if (fDim != 1) | |
115 | { | |
116 | cout << " *AliSample::remove* Error : Not a 1-dim sample." << endl; | |
117 | } | |
118 | else | |
119 | { | |
120 | fN-=1; | |
121 | fSum[0]-=x; | |
122 | fSum2[0][0]-=x*x; | |
123 | Compute(); | |
124 | } | |
125 | } | |
126 | /////////////////////////////////////////////////////////////////////////// | |
127 | void AliSample::Enter(Float_t x,Float_t y) | |
128 | { | |
129 | // Entering a pair (x,y) into a 2-dim. sample | |
130 | // In case of first entry the dimension is set to 2 | |
131 | if (fN == 0) | |
132 | { | |
133 | fDim=2; | |
134 | fNames[0]='X'; | |
135 | fNames[1]='Y'; | |
136 | fNames[2]='-'; | |
137 | } | |
138 | if (fDim != 2) | |
139 | { | |
140 | cout << " *AliSample::enter* Error : Not a 2-dim sample." << endl; | |
141 | } | |
142 | else | |
143 | { | |
144 | fN+=1; | |
145 | fSum[0]+=x; | |
146 | fSum[1]+=y; | |
147 | fSum2[0][0]+=x*x; | |
148 | fSum2[0][1]+=x*y; | |
149 | fSum2[1][0]+=y*x; | |
150 | fSum2[1][1]+=y*y; | |
151 | Compute(); | |
152 | } | |
153 | } | |
154 | /////////////////////////////////////////////////////////////////////////// | |
155 | void AliSample::Remove(Float_t x,Float_t y) | |
156 | { | |
157 | // Removing a pair (x,y) from a 2-dim. sample | |
158 | if (fDim != 2) | |
159 | { | |
160 | cout << " *AliSample::remove* Error : Not a 2-dim sample." << endl; | |
161 | } | |
162 | else | |
163 | { | |
164 | fN-=1; | |
165 | fSum[0]-=x; | |
166 | fSum[1]-=y; | |
167 | fSum2[0][0]-=x*x; | |
168 | fSum2[0][1]-=x*y; | |
169 | fSum2[1][0]-=y*x; | |
170 | fSum2[1][1]-=y*y; | |
171 | Compute(); | |
172 | } | |
173 | } | |
174 | /////////////////////////////////////////////////////////////////////////// | |
175 | void AliSample::Enter(Float_t x,Float_t y,Float_t z) | |
176 | { | |
177 | // Entering a set (x,y,z) into a 3-dim. sample | |
178 | // In case of first entry the dimension is set to 3 | |
179 | if (fN == 0) | |
180 | { | |
181 | fDim=3; | |
182 | fNames[0]='X'; | |
183 | fNames[1]='Y'; | |
184 | fNames[2]='Z'; | |
185 | } | |
186 | if (fDim != 3) | |
187 | { | |
188 | cout << " *AliSample::enter* Error : Not a 3-dim sample." << endl; | |
189 | } | |
190 | else | |
191 | { | |
192 | fN+=1; | |
193 | fSum[0]+=x; | |
194 | fSum[1]+=y; | |
195 | fSum[2]+=z; | |
196 | fSum2[0][0]+=x*x; | |
197 | fSum2[0][1]+=x*y; | |
198 | fSum2[0][2]+=x*z; | |
199 | fSum2[1][0]+=y*x; | |
200 | fSum2[1][1]+=y*y; | |
201 | fSum2[1][2]+=y*z; | |
202 | fSum2[2][0]+=z*x; | |
203 | fSum2[2][1]+=z*y; | |
204 | fSum2[2][2]+=z*z; | |
205 | Compute(); | |
206 | } | |
207 | } | |
208 | /////////////////////////////////////////////////////////////////////////// | |
209 | void AliSample::Remove(Float_t x,Float_t y,Float_t z) | |
210 | { | |
211 | // Removing a set (x,y,z) from a 3-dim. sample | |
212 | if (fDim != 3) | |
213 | { | |
214 | cout << " *AliSample::remove* Error : Not a 3-dim sample." << endl; | |
215 | } | |
216 | else | |
217 | { | |
218 | fN-=1; | |
219 | fSum[0]-=x; | |
220 | fSum[1]-=y; | |
221 | fSum[2]-=z; | |
222 | fSum2[0][0]-=x*x; | |
223 | fSum2[0][1]-=x*y; | |
224 | fSum2[0][2]-=x*z; | |
225 | fSum2[1][0]-=y*x; | |
226 | fSum2[1][1]-=y*y; | |
227 | fSum2[1][2]-=y*z; | |
228 | fSum2[2][0]-=z*x; | |
229 | fSum2[2][1]-=z*y; | |
230 | fSum2[2][2]-=z*z; | |
231 | Compute(); | |
232 | } | |
233 | } | |
234 | /////////////////////////////////////////////////////////////////////////// | |
235 | void AliSample::Compute() | |
236 | { | |
237 | // Computation of the various statistical values | |
238 | // after each entering or removing action on a certain sample | |
239 | Float_t rn=fN; | |
240 | for (Int_t k=0; k<fDim; k++) | |
241 | { | |
242 | fMean[k]=fSum[k]/rn; | |
243 | fVar[k]=(fSum2[k][k]/rn)-(fMean[k]*fMean[k]); | |
244 | if (fVar[k] < 0.) fVar[k]=0.; | |
245 | fSigma[k]=sqrt(fVar[k]); | |
246 | } | |
247 | for (Int_t i=0; i<fDim; i++) | |
248 | { | |
249 | for (Int_t j=0; j<fDim; j++) | |
250 | { | |
251 | fCov[i][j]=(fSum2[i][j]/rn)-(fMean[i]*fMean[j]); | |
252 | Float_t sigij=fSigma[i]*fSigma[j]; | |
253 | if (sigij != 0.) fCor[i][j]=fCov[i][j]/sigij; | |
254 | } | |
255 | } | |
256 | } | |
257 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 258 | Int_t AliSample::GetDimension() const |
d88f97cc | 259 | { |
260 | // Provide the dimension of a certain sample | |
261 | return fDim; | |
262 | } | |
263 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 264 | Int_t AliSample::GetN() const |
d88f97cc | 265 | { |
266 | // Provide the number of entries of a certain sample | |
267 | return fN; | |
268 | } | |
269 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 270 | Float_t AliSample::GetSum(Int_t i) const |
d88f97cc | 271 | { |
272 | // Provide the sum of a certain variable | |
273 | if (fDim < i) | |
274 | { | |
275 | cout << " *AliSample::sum* Error : Dimension less than " << i << endl; | |
276 | return 0.; | |
277 | } | |
278 | else | |
279 | { | |
280 | return fSum[i-1]; | |
281 | } | |
282 | } | |
283 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 284 | Float_t AliSample::GetMean(Int_t i) const |
d88f97cc | 285 | { |
286 | // Provide the mean of a certain variable | |
287 | if (fDim < i) | |
288 | { | |
289 | cout << " *AliSample::mean* Error : Dimension less than " << i << endl; | |
290 | return 0.; | |
291 | } | |
292 | else | |
293 | { | |
294 | return fMean[i-1]; | |
295 | } | |
296 | } | |
297 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 298 | Float_t AliSample::GetVar(Int_t i) const |
d88f97cc | 299 | { |
300 | // Provide the variance of a certain variable | |
301 | if (fDim < i) | |
302 | { | |
303 | cout << " *AliSample::var* Error : Dimension less than " << i << endl; | |
304 | return 0.; | |
305 | } | |
306 | else | |
307 | { | |
308 | return fVar[i-1]; | |
309 | } | |
310 | } | |
311 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 312 | Float_t AliSample::GetSigma(Int_t i) const |
d88f97cc | 313 | { |
314 | // Provide the standard deviation of a certain variable | |
315 | if (fDim < i) | |
316 | { | |
317 | cout << " *AliSample::sigma* Error : Dimension less than " << i << endl; | |
318 | return 0.; | |
319 | } | |
320 | else | |
321 | { | |
322 | return fSigma[i-1]; | |
323 | } | |
324 | } | |
325 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 326 | Float_t AliSample::GetCov(Int_t i,Int_t j) const |
d88f97cc | 327 | { |
328 | // Provide the covariance between variables i and j | |
329 | if ((fDim < i) || (fDim < j)) | |
330 | { | |
331 | Int_t k=i; | |
332 | if (j > i) k=j; | |
333 | cout << " *AliSample::cov* Error : Dimension less than " << k << endl; | |
334 | return 0.; | |
335 | } | |
336 | else | |
337 | { | |
338 | return fCov[i-1][j-1]; | |
339 | } | |
340 | } | |
341 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 342 | Float_t AliSample::GetCor(Int_t i,Int_t j) const |
d88f97cc | 343 | { |
344 | // Provide the correlation between variables i and j | |
345 | if ((fDim < i) || (fDim < j)) | |
346 | { | |
347 | Int_t k=i; | |
348 | if (j > i) k=j; | |
349 | cout << " *AliSample::cor* Error : Dimension less than " << k << endl; | |
350 | return 0.; | |
351 | } | |
352 | else | |
353 | { | |
354 | return fCor[i-1][j-1]; | |
355 | } | |
356 | } | |
357 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 358 | void AliSample::Data() const |
d88f97cc | 359 | { |
360 | // Printing of statistics of all variables | |
361 | for (Int_t i=0; i<fDim; i++) | |
362 | { | |
363 | cout << " " << fNames[i] << " : N = " << fN; | |
364 | cout << " Sum = " << fSum[i] << " Mean = " << fMean[i]; | |
365 | cout << " Var = " << fVar[i] << " Sigma = " << fSigma[i] << endl; | |
366 | } | |
367 | } | |
368 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 369 | void AliSample::Data(Int_t i) const |
d88f97cc | 370 | { |
371 | // Printing of statistics of ith variable | |
372 | if (fDim < i) | |
373 | { | |
84bb7c66 | 374 | cout << " *AliSample::Data(i)* Error : Dimension less than " << i << endl; |
d88f97cc | 375 | } |
376 | else | |
377 | { | |
378 | cout << " " << fNames[i-1] << " : N = " << fN; | |
379 | cout << " Sum = " << fSum[i-1] << " Mean = " << fMean[i-1]; | |
380 | cout << " Var = " << fVar[i-1] << " Sigma = " << fSigma[i-1] << endl; | |
381 | } | |
382 | } | |
383 | /////////////////////////////////////////////////////////////////////////// | |
261c0caf | 384 | void AliSample::Data(Int_t i,Int_t j) const |
d88f97cc | 385 | { |
386 | // Printing of covariance and correlation between variables i and j | |
387 | if ((fDim < i) || (fDim < j)) | |
388 | { | |
389 | Int_t k=i; | |
390 | if (j > i) k=j; | |
84bb7c66 | 391 | cout << " *AliSample::Data(i,j)* Error : Dimension less than " << k << endl; |
d88f97cc | 392 | } |
393 | else | |
394 | { | |
395 | cout << " " << fNames[i-1] << "-" << fNames[j-1] << " correlation :"; | |
396 | cout << " Cov. = " << fCov[i-1][j-1] << " Cor. = " << fCor[i-1][j-1] << endl; | |
397 | } | |
398 | } | |
399 | /////////////////////////////////////////////////////////////////////////// |