]>
Commit | Line | Data |
---|---|---|
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 | ||
16 | /* | |
17 | $Log$ | |
959fbac5 | 18 | Revision 1.2 1999/09/29 09:24:28 fca |
19 | Introduction of the Copyright and cvs Log | |
20 | ||
4c039060 | 21 | */ |
22 | ||
959fbac5 | 23 | /////////////////////////////////////////////////////////////////////////// |
24 | // Class AliSample | |
25 | // Perform statistics on various multi-dimensional data samples | |
26 | // A data sample can be filled using the "Enter" and/or "Remove" functions, | |
27 | // whereas the "Reset" function resets the complete sample to 'empty'. | |
28 | // The info which can be extracted from a certain data sample are the | |
29 | // sum, mean, variance, sigma, covariance and correlation. | |
30 | // The "Info" function provides all statistics data for a certain sample. | |
31 | // The variables for which these stat. parameters have to be calculated | |
32 | // are indicated by the index of the variable which is passed as an | |
33 | // argument to the various member functions. | |
34 | // The index convention for a data point (x,y) is : x=1 y=2 | |
35 | // | |
36 | // Example : | |
37 | // --------- | |
38 | // For an AliSample s a data point (x,y) can be entered as s.Enter(x,y) and | |
39 | // the mean_x can be obtained as s.GetMean(1) whereas the mean_y is obtained | |
40 | // via s.GetMean(2). | |
41 | // The correlation between x and y is available via s.GetCor(1,2). | |
42 | // The x-statistics are obtained via s.Info(1), y-statistics via s.Info(2), | |
43 | // and the covariance and correlation between x and y via s.Info(1,2). | |
44 | // All statistics of a sample are obtained via s.Info(). | |
45 | // | |
46 | //--- Author: Nick van Eijndhoven 30-mar-1996 CERN Geneva | |
47 | /////////////////////////////////////////////////////////////////////////// | |
48 | ||
d88f97cc | 49 | #include "AliSample.h" |
50 | ||
51 | AliSample::AliSample() | |
52 | { | |
53 | // Creation of an Aliample object and resetting the statistics values | |
54 | // The dimension is initialised to maximum | |
55 | fDim=fMaxdim; | |
56 | fNames[0]='X'; | |
57 | fNames[1]='Y'; | |
58 | fNames[2]='Z'; | |
59 | fN=0; | |
60 | Reset(); | |
61 | } | |
62 | /////////////////////////////////////////////////////////////////////////// | |
63 | AliSample::~AliSample() | |
64 | { | |
65 | // Default destructor | |
66 | } | |
67 | /////////////////////////////////////////////////////////////////////////// | |
68 | void AliSample::Reset() | |
69 | { | |
70 | // Resetting the statistics values for a certain Sample object | |
71 | // Dimension is NOT changed | |
72 | fN=0; | |
73 | for (Int_t i=0; i<fDim; i++) | |
74 | { | |
75 | fSum[i]=0.; | |
76 | fMean[i]=0.; | |
77 | fVar[i]=0.; | |
78 | fSigma[i]=0.; | |
79 | for (Int_t j=0; j<fDim; j++) | |
80 | { | |
81 | fSum2[i][j]=0.; | |
82 | fCov[i][j]=0.; | |
83 | fCor[i][j]=0.; | |
84 | } | |
85 | } | |
86 | } | |
87 | /////////////////////////////////////////////////////////////////////////// | |
88 | void AliSample::Enter(Float_t x) | |
89 | { | |
90 | // Entering a value into a 1-dim. sample | |
91 | // In case of first entry the dimension is set to 1 | |
92 | if (fN == 0) | |
93 | { | |
94 | fDim=1; | |
95 | fNames[0]='X'; | |
96 | fNames[1]='-'; | |
97 | fNames[2]='-'; | |
98 | } | |
99 | if (fDim != 1) | |
100 | { | |
101 | cout << " *AliSample::enter* Error : Not a 1-dim sample." << endl; | |
102 | } | |
103 | else | |
104 | { | |
105 | fN+=1; | |
106 | fSum[0]+=x; | |
107 | fSum2[0][0]+=x*x; | |
108 | Compute(); | |
109 | } | |
110 | } | |
111 | /////////////////////////////////////////////////////////////////////////// | |
112 | void AliSample::Remove(Float_t x) | |
113 | { | |
114 | // Removing a value from a 1-dim. sample | |
115 | if (fDim != 1) | |
116 | { | |
117 | cout << " *AliSample::remove* Error : Not a 1-dim sample." << endl; | |
118 | } | |
119 | else | |
120 | { | |
121 | fN-=1; | |
122 | fSum[0]-=x; | |
123 | fSum2[0][0]-=x*x; | |
124 | Compute(); | |
125 | } | |
126 | } | |
127 | /////////////////////////////////////////////////////////////////////////// | |
128 | void AliSample::Enter(Float_t x,Float_t y) | |
129 | { | |
130 | // Entering a pair (x,y) into a 2-dim. sample | |
131 | // In case of first entry the dimension is set to 2 | |
132 | if (fN == 0) | |
133 | { | |
134 | fDim=2; | |
135 | fNames[0]='X'; | |
136 | fNames[1]='Y'; | |
137 | fNames[2]='-'; | |
138 | } | |
139 | if (fDim != 2) | |
140 | { | |
141 | cout << " *AliSample::enter* Error : Not a 2-dim sample." << endl; | |
142 | } | |
143 | else | |
144 | { | |
145 | fN+=1; | |
146 | fSum[0]+=x; | |
147 | fSum[1]+=y; | |
148 | fSum2[0][0]+=x*x; | |
149 | fSum2[0][1]+=x*y; | |
150 | fSum2[1][0]+=y*x; | |
151 | fSum2[1][1]+=y*y; | |
152 | Compute(); | |
153 | } | |
154 | } | |
155 | /////////////////////////////////////////////////////////////////////////// | |
156 | void AliSample::Remove(Float_t x,Float_t y) | |
157 | { | |
158 | // Removing a pair (x,y) from a 2-dim. sample | |
159 | if (fDim != 2) | |
160 | { | |
161 | cout << " *AliSample::remove* Error : Not a 2-dim sample." << endl; | |
162 | } | |
163 | else | |
164 | { | |
165 | fN-=1; | |
166 | fSum[0]-=x; | |
167 | fSum[1]-=y; | |
168 | fSum2[0][0]-=x*x; | |
169 | fSum2[0][1]-=x*y; | |
170 | fSum2[1][0]-=y*x; | |
171 | fSum2[1][1]-=y*y; | |
172 | Compute(); | |
173 | } | |
174 | } | |
175 | /////////////////////////////////////////////////////////////////////////// | |
176 | void AliSample::Enter(Float_t x,Float_t y,Float_t z) | |
177 | { | |
178 | // Entering a set (x,y,z) into a 3-dim. sample | |
179 | // In case of first entry the dimension is set to 3 | |
180 | if (fN == 0) | |
181 | { | |
182 | fDim=3; | |
183 | fNames[0]='X'; | |
184 | fNames[1]='Y'; | |
185 | fNames[2]='Z'; | |
186 | } | |
187 | if (fDim != 3) | |
188 | { | |
189 | cout << " *AliSample::enter* Error : Not a 3-dim sample." << endl; | |
190 | } | |
191 | else | |
192 | { | |
193 | fN+=1; | |
194 | fSum[0]+=x; | |
195 | fSum[1]+=y; | |
196 | fSum[2]+=z; | |
197 | fSum2[0][0]+=x*x; | |
198 | fSum2[0][1]+=x*y; | |
199 | fSum2[0][2]+=x*z; | |
200 | fSum2[1][0]+=y*x; | |
201 | fSum2[1][1]+=y*y; | |
202 | fSum2[1][2]+=y*z; | |
203 | fSum2[2][0]+=z*x; | |
204 | fSum2[2][1]+=z*y; | |
205 | fSum2[2][2]+=z*z; | |
206 | Compute(); | |
207 | } | |
208 | } | |
209 | /////////////////////////////////////////////////////////////////////////// | |
210 | void AliSample::Remove(Float_t x,Float_t y,Float_t z) | |
211 | { | |
212 | // Removing a set (x,y,z) from a 3-dim. sample | |
213 | if (fDim != 3) | |
214 | { | |
215 | cout << " *AliSample::remove* Error : Not a 3-dim sample." << endl; | |
216 | } | |
217 | else | |
218 | { | |
219 | fN-=1; | |
220 | fSum[0]-=x; | |
221 | fSum[1]-=y; | |
222 | fSum[2]-=z; | |
223 | fSum2[0][0]-=x*x; | |
224 | fSum2[0][1]-=x*y; | |
225 | fSum2[0][2]-=x*z; | |
226 | fSum2[1][0]-=y*x; | |
227 | fSum2[1][1]-=y*y; | |
228 | fSum2[1][2]-=y*z; | |
229 | fSum2[2][0]-=z*x; | |
230 | fSum2[2][1]-=z*y; | |
231 | fSum2[2][2]-=z*z; | |
232 | Compute(); | |
233 | } | |
234 | } | |
235 | /////////////////////////////////////////////////////////////////////////// | |
236 | void AliSample::Compute() | |
237 | { | |
238 | // Computation of the various statistical values | |
239 | // after each entering or removing action on a certain sample | |
240 | Float_t rn=fN; | |
241 | for (Int_t k=0; k<fDim; k++) | |
242 | { | |
243 | fMean[k]=fSum[k]/rn; | |
244 | fVar[k]=(fSum2[k][k]/rn)-(fMean[k]*fMean[k]); | |
245 | if (fVar[k] < 0.) fVar[k]=0.; | |
246 | fSigma[k]=sqrt(fVar[k]); | |
247 | } | |
248 | for (Int_t i=0; i<fDim; i++) | |
249 | { | |
250 | for (Int_t j=0; j<fDim; j++) | |
251 | { | |
252 | fCov[i][j]=(fSum2[i][j]/rn)-(fMean[i]*fMean[j]); | |
253 | Float_t sigij=fSigma[i]*fSigma[j]; | |
254 | if (sigij != 0.) fCor[i][j]=fCov[i][j]/sigij; | |
255 | } | |
256 | } | |
257 | } | |
258 | /////////////////////////////////////////////////////////////////////////// | |
259 | Int_t AliSample::GetDimension() | |
260 | { | |
261 | // Provide the dimension of a certain sample | |
262 | return fDim; | |
263 | } | |
264 | /////////////////////////////////////////////////////////////////////////// | |
265 | Int_t AliSample::GetN() | |
266 | { | |
267 | // Provide the number of entries of a certain sample | |
268 | return fN; | |
269 | } | |
270 | /////////////////////////////////////////////////////////////////////////// | |
271 | Float_t AliSample::GetSum(Int_t i) | |
272 | { | |
273 | // Provide the sum of a certain variable | |
274 | if (fDim < i) | |
275 | { | |
276 | cout << " *AliSample::sum* Error : Dimension less than " << i << endl; | |
277 | return 0.; | |
278 | } | |
279 | else | |
280 | { | |
281 | return fSum[i-1]; | |
282 | } | |
283 | } | |
284 | /////////////////////////////////////////////////////////////////////////// | |
285 | Float_t AliSample::GetMean(Int_t i) | |
286 | { | |
287 | // Provide the mean of a certain variable | |
288 | if (fDim < i) | |
289 | { | |
290 | cout << " *AliSample::mean* Error : Dimension less than " << i << endl; | |
291 | return 0.; | |
292 | } | |
293 | else | |
294 | { | |
295 | return fMean[i-1]; | |
296 | } | |
297 | } | |
298 | /////////////////////////////////////////////////////////////////////////// | |
299 | Float_t AliSample::GetVar(Int_t i) | |
300 | { | |
301 | // Provide the variance of a certain variable | |
302 | if (fDim < i) | |
303 | { | |
304 | cout << " *AliSample::var* Error : Dimension less than " << i << endl; | |
305 | return 0.; | |
306 | } | |
307 | else | |
308 | { | |
309 | return fVar[i-1]; | |
310 | } | |
311 | } | |
312 | /////////////////////////////////////////////////////////////////////////// | |
313 | Float_t AliSample::GetSigma(Int_t i) | |
314 | { | |
315 | // Provide the standard deviation of a certain variable | |
316 | if (fDim < i) | |
317 | { | |
318 | cout << " *AliSample::sigma* Error : Dimension less than " << i << endl; | |
319 | return 0.; | |
320 | } | |
321 | else | |
322 | { | |
323 | return fSigma[i-1]; | |
324 | } | |
325 | } | |
326 | /////////////////////////////////////////////////////////////////////////// | |
327 | Float_t AliSample::GetCov(Int_t i,Int_t j) | |
328 | { | |
329 | // Provide the covariance between variables i and j | |
330 | if ((fDim < i) || (fDim < j)) | |
331 | { | |
332 | Int_t k=i; | |
333 | if (j > i) k=j; | |
334 | cout << " *AliSample::cov* Error : Dimension less than " << k << endl; | |
335 | return 0.; | |
336 | } | |
337 | else | |
338 | { | |
339 | return fCov[i-1][j-1]; | |
340 | } | |
341 | } | |
342 | /////////////////////////////////////////////////////////////////////////// | |
343 | Float_t AliSample::GetCor(Int_t i,Int_t j) | |
344 | { | |
345 | // Provide the correlation between variables i and j | |
346 | if ((fDim < i) || (fDim < j)) | |
347 | { | |
348 | Int_t k=i; | |
349 | if (j > i) k=j; | |
350 | cout << " *AliSample::cor* Error : Dimension less than " << k << endl; | |
351 | return 0.; | |
352 | } | |
353 | else | |
354 | { | |
355 | return fCor[i-1][j-1]; | |
356 | } | |
357 | } | |
358 | /////////////////////////////////////////////////////////////////////////// | |
359 | void AliSample::Info() | |
360 | { | |
361 | // Printing of statistics of all variables | |
362 | for (Int_t i=0; i<fDim; i++) | |
363 | { | |
364 | cout << " " << fNames[i] << " : N = " << fN; | |
365 | cout << " Sum = " << fSum[i] << " Mean = " << fMean[i]; | |
366 | cout << " Var = " << fVar[i] << " Sigma = " << fSigma[i] << endl; | |
367 | } | |
368 | } | |
369 | /////////////////////////////////////////////////////////////////////////// | |
370 | void AliSample::Info(Int_t i) | |
371 | { | |
372 | // Printing of statistics of ith variable | |
373 | if (fDim < i) | |
374 | { | |
375 | cout << " *AliSample::Info(i)* Error : Dimension less than " << i << endl; | |
376 | } | |
377 | else | |
378 | { | |
379 | cout << " " << fNames[i-1] << " : N = " << fN; | |
380 | cout << " Sum = " << fSum[i-1] << " Mean = " << fMean[i-1]; | |
381 | cout << " Var = " << fVar[i-1] << " Sigma = " << fSigma[i-1] << endl; | |
382 | } | |
383 | } | |
384 | /////////////////////////////////////////////////////////////////////////// | |
385 | void AliSample::Info(Int_t i,Int_t j) | |
386 | { | |
387 | // Printing of covariance and correlation between variables i and j | |
388 | if ((fDim < i) || (fDim < j)) | |
389 | { | |
390 | Int_t k=i; | |
391 | if (j > i) k=j; | |
392 | cout << " *AliSample::Info(i,j)* Error : Dimension less than " << k << endl; | |
393 | } | |
394 | else | |
395 | { | |
396 | cout << " " << fNames[i-1] << "-" << fNames[j-1] << " correlation :"; | |
397 | cout << " Cov. = " << fCov[i-1][j-1] << " Cor. = " << fCor[i-1][j-1] << endl; | |
398 | } | |
399 | } | |
400 | /////////////////////////////////////////////////////////////////////////// |