| 46 |
DATA ALMAX/dinf,dinf,1.,dinf,dinf/ !limits on alpha vector components |
DATA ALMAX/dinf,dinf,1.,dinf,dinf/ !limits on alpha vector components |
| 47 |
DATA ALMIN/-dinf,-dinf,-1.,-dinf,-dinf/ !" |
DATA ALMIN/-dinf,-dinf,-1.,-dinf,-dinf/ !" |
| 48 |
|
|
| 49 |
DIMENSION DAL(5) !increment of vector alfa |
c$$$ DIMENSION DAL(5) !increment of vector alfa |
| 50 |
DIMENSION CHI2DD_R(4,4),CHI2D_R(4) !hessiano e gradiente di chi2 |
DIMENSION CHI2DD_R(4,4),CHI2D_R(4) !hessiano e gradiente di chi2 |
| 51 |
|
|
| 52 |
c elena-------- |
c elena-------- |
| 67 |
|
|
| 68 |
c LOGICAL TRKDEBUG,TRKVERBOSE |
c LOGICAL TRKDEBUG,TRKVERBOSE |
| 69 |
c COMMON/TRKD/TRKDEBUG,TRKVERBOSE |
c COMMON/TRKD/TRKDEBUG,TRKVERBOSE |
| 70 |
LOGICAL TRKDEBUG,TRKVERBOSE |
LOGICAL TRKDEBUG,TRKVERBOSE,STUDENT,FIRSTSTEPS,FIRSTSTUDENT |
| 71 |
COMMON/TRKD/TRKDEBUG,TRKVERBOSE |
COMMON/TRKD/TRKDEBUG,TRKVERBOSE |
| 72 |
|
|
| 73 |
|
DIMENSION AL0(5) |
| 74 |
|
LOGICAL SUCCESS_NEW,SUCCESS_OLD |
| 75 |
|
* |
| 76 |
|
* define kind of minimization (0x=chi2+gaussian or 1x=likelihood+student) |
| 77 |
|
* |
| 78 |
|
STUDENT = .false. |
| 79 |
|
FIRSTSTEPS = .true. |
| 80 |
|
FIRSTSTUDENT = .true. |
| 81 |
|
IF(MOD(INT(TRACKMODE/10),10).EQ.1) STUDENT = .true. |
| 82 |
|
|
| 83 |
IF(IPRINT.EQ.1) THEN |
IF(IPRINT.EQ.1) THEN |
| 84 |
TRKVERBOSE = .TRUE. |
TRKVERBOSE = .TRUE. |
| 85 |
TRKDEBUG = .FALSE. |
TRKDEBUG = .FALSE. |
| 115 |
* ---------------------------------------------------------- |
* ---------------------------------------------------------- |
| 116 |
* changed in order to evaluate energy-dependent |
* changed in order to evaluate energy-dependent |
| 117 |
* tolerances on all 5 parameters |
* tolerances on all 5 parameters |
| 118 |
FACT=100. !scale factor to define tolerance on alfa |
cPP FACT=1.0e10 !scale factor to define tolerance on alfa |
| 119 |
c deflection error (see PDG) |
c deflection error (see PDG) |
| 120 |
DELETA1 = 0.01/0.3/0.4/0.4451**2*SQRT(720./(6.+4.)) |
DELETA1 = 0.01/0.3/0.4/0.4451**2*SQRT(720./(6.+4.)) |
| 121 |
DELETA2 = 0.016/0.3/0.4/0.4451*SQRT(0.4451/9.36) |
DELETA2 = 0.016/0.3/0.4/0.4451*SQRT(0.4451/9.36) |
| 131 |
* |
* |
| 132 |
ISTEP=0 !num. steps to minimize chi^2 |
ISTEP=0 !num. steps to minimize chi^2 |
| 133 |
JFAIL=0 !error flag |
JFAIL=0 !error flag |
| 134 |
|
CHI2=0 |
| 135 |
|
|
| 136 |
if(TRKDEBUG) print*,'guess: ',al |
if(TRKDEBUG) print*,'guess: ',al |
| 137 |
if(TRKDEBUG) print*,'mini2: step ',istep,chi2,1./AL(5) |
if(TRKDEBUG) print*,'mini2: step ',istep,chi2,1./AL(5) |
| 142 |
* ----------------------- |
* ----------------------- |
| 143 |
10 ISTEP=ISTEP+1 !<<<<<<<<<<<<<< NEW STEP !! |
10 ISTEP=ISTEP+1 !<<<<<<<<<<<<<< NEW STEP !! |
| 144 |
|
|
| 145 |
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
* ------------------------------- |
| 146 |
IF(JFAIL.NE.0) THEN |
* **** Chi2+gaussian minimization |
| 147 |
IFAIL=1 |
* ------------------------------- |
| 148 |
CHI2=-9999. |
|
| 149 |
if(TRKVERBOSE) |
IF(.NOT.STUDENT.OR.FIRSTSTEPS) THEN |
| 150 |
$ PRINT *,'*** ERROR in mini *** wrong CHISQ' |
|
| 151 |
RETURN |
IF(ISTEP.GE.3) FIRSTSTEPS = .false. |
| 152 |
ENDIF |
|
| 153 |
|
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
| 154 |
COST=1e-5 |
IF(JFAIL.NE.0) THEN |
| 155 |
DO I=1,5 |
IFAIL=1 |
| 156 |
DO J=1,5 |
CHI2=-9999. |
| 157 |
CHI2DD(I,J)=CHI2DD(I,J)*COST |
if(TRKVERBOSE) |
| 158 |
|
$ PRINT *,'*** ERROR in mini *** wrong CHISQ' |
| 159 |
|
RETURN |
| 160 |
|
ENDIF |
| 161 |
|
|
| 162 |
|
c COST=1e-5 |
| 163 |
|
COST=1. |
| 164 |
|
DO I=1,5 |
| 165 |
|
IF(CHI2DD(I,I).NE.0.)COST=COST/DABS(CHI2DD(I,I))**0.2 |
| 166 |
|
ENDDO |
| 167 |
|
DO I=1,5 |
| 168 |
|
DO J=1,5 |
| 169 |
|
CHI2DD(I,J)=CHI2DD(I,J)*COST |
| 170 |
|
ENDDO |
| 171 |
|
c$$$ CHI2D(I)=CHI2D(I)*COST |
| 172 |
ENDDO |
ENDDO |
|
CHI2D(I)=CHI2D(I)*COST |
|
|
ENDDO |
|
| 173 |
|
|
| 174 |
IF(PFIXED.EQ.0.) THEN |
IF(PFIXED.EQ.0.) THEN |
| 175 |
|
|
| 176 |
*------------------------------------------------------------* |
*------------------------------------------------------------* |
| 177 |
* track fitting with FREE deflection |
* track fitting with FREE deflection |
| 178 |
*------------------------------------------------------------* |
*------------------------------------------------------------* |
| 179 |
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
| 180 |
IF(IFA.NE.0) THEN !not positive-defined |
IF(IFA.NE.0) THEN !not positive-defined |
| 181 |
if(TRKVERBOSE)then |
if(TRKVERBOSE)then |
| 182 |
PRINT *, |
PRINT *, |
| 183 |
$ '*** ERROR in mini ***'// |
$ '*** ERROR in mini ***'// |
| 184 |
$ 'on matrix inversion (not pos-def)' |
$ 'on matrix inversion (not pos-def)' |
| 185 |
$ ,DET |
$ ,DET |
| 186 |
endif |
endif |
| 187 |
IF(CHI2.EQ.0) CHI2=-9999. |
IF(CHI2.EQ.0) CHI2=-9999. |
| 188 |
IF(CHI2.GT.0) CHI2=-CHI2 |
IF(CHI2.GT.0) CHI2=-CHI2 |
| 189 |
IFAIL=1 |
IFAIL=1 |
| 190 |
RETURN |
RETURN |
| 191 |
ENDIF |
ENDIF |
| 192 |
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
| 193 |
* ******************************************* |
* ******************************************* |
| 194 |
* find new value of AL-pha |
* find new value of AL-pha |
| 195 |
* ******************************************* |
* ******************************************* |
| 196 |
DO I=1,5 |
DO I=1,5 |
| 197 |
DAL(I)=0. |
DAL(I)=0. |
| 198 |
DO J=1,5 |
DO J=1,5 |
| 199 |
DAL(I)=DAL(I)-CHI2DD(I,J)*CHI2D(J) |
DAL(I)=DAL(I)-CHI2DD(I,J)*CHI2D(J) *COST |
| 200 |
COV(I,J)=2.*COST*CHI2DD(I,J) |
COV(I,J)=2.*COST*CHI2DD(I,J) |
| 201 |
ENDDO |
ENDDO |
| 202 |
ENDDO |
ENDDO |
| 203 |
DO I=1,5 |
DO I=1,5 |
| 204 |
AL(I)=AL(I)+DAL(I) |
AL(I)=AL(I)+DAL(I) |
| 205 |
ENDDO |
ENDDO |
| 206 |
*------------------------------------------------------------* |
*------------------------------------------------------------* |
| 207 |
* track fitting with FIXED deflection |
* track fitting with FIXED deflection |
| 208 |
*------------------------------------------------------------* |
*------------------------------------------------------------* |
| 209 |
ELSE |
ELSE |
| 210 |
AL(5)=1./PFIXED |
AL(5)=1./PFIXED |
| 211 |
DO I=1,4 |
DO I=1,4 |
| 212 |
CHI2D_R(I)=CHI2D(I) |
CHI2D_R(I)=CHI2D(I) |
| 213 |
DO J=1,4 |
DO J=1,4 |
| 214 |
CHI2DD_R(I,J)=CHI2DD(I,J) |
CHI2DD_R(I,J)=CHI2DD(I,J) |
| 215 |
|
ENDDO |
| 216 |
ENDDO |
ENDDO |
| 217 |
ENDDO |
CALL DSFACT(4,CHI2DD_R,4,IFA,DET,JFA) |
| 218 |
CALL DSFACT(4,CHI2DD_R,4,IFA,DET,JFA) |
IF(IFA.NE.0) THEN |
| 219 |
IF(IFA.NE.0) THEN |
if(TRKVERBOSE)then |
| 220 |
if(TRKVERBOSE)then |
PRINT *, |
| 221 |
PRINT *, |
$ '*** ERROR in mini ***'// |
| 222 |
$ '*** ERROR in mini ***'// |
$ 'on matrix inversion (not pos-def)' |
| 223 |
$ 'on matrix inversion (not pos-def)' |
$ ,DET |
| 224 |
$ ,DET |
endif |
| 225 |
endif |
IF(CHI2.EQ.0) CHI2=-9999. |
| 226 |
IF(CHI2.EQ.0) CHI2=-9999. |
IF(CHI2.GT.0) CHI2=-CHI2 |
| 227 |
IF(CHI2.GT.0) CHI2=-CHI2 |
IFAIL=1 |
| 228 |
IFAIL=1 |
RETURN |
| 229 |
RETURN |
ENDIF |
| 230 |
ENDIF |
CALL DSFINV(4,CHI2DD_R,4) |
|
CALL DSFINV(4,CHI2DD_R,4) |
|
| 231 |
* ******************************************* |
* ******************************************* |
| 232 |
* find new value of AL-pha |
* find new value of AL-pha |
| 233 |
* ******************************************* |
* ******************************************* |
| 234 |
DO I=1,4 |
DO I=1,4 |
| 235 |
DAL(I)=0. |
DAL(I)=0. |
| 236 |
DO J=1,4 |
DO J=1,4 |
| 237 |
DAL(I)=DAL(I)-CHI2DD_R(I,J)*CHI2D_R(J) |
DAL(I)=DAL(I)-CHI2DD_R(I,J)*CHI2D_R(J) *COST |
| 238 |
COV(I,J)=2.*COST*CHI2DD_R(I,J) |
COV(I,J)=2.*COST*CHI2DD_R(I,J) |
| 239 |
|
ENDDO |
| 240 |
|
ENDDO |
| 241 |
|
DAL(5)=0. |
| 242 |
|
DO I=1,4 |
| 243 |
|
AL(I)=AL(I)+DAL(I) |
| 244 |
|
ENDDO |
| 245 |
|
ENDIF |
| 246 |
|
|
| 247 |
|
if(TRKDEBUG) print*,'mini2: step ',istep,chi2,1./AL(5) |
| 248 |
|
|
| 249 |
|
c$$$ PRINT*,'DAL ',(DAL(K),K=1,5) |
| 250 |
|
c$$$ PRINT*,'CHI2DOLD ',(CHI2DOLD(K),K=1,5) |
| 251 |
|
|
| 252 |
|
|
| 253 |
|
ENDIF |
| 254 |
|
|
| 255 |
|
* ------------------------------- |
| 256 |
|
* **** Likelihood+Student minimization |
| 257 |
|
* ------------------------------- |
| 258 |
|
|
| 259 |
|
IF(STUDENT.AND.(.NOT.FIRSTSTEPS)) THEN |
| 260 |
|
|
| 261 |
|
IF(FIRSTSTUDENT) THEN |
| 262 |
|
FIRSTSTUDENT = .false. |
| 263 |
|
ISTEP = 1 |
| 264 |
|
ENDIF |
| 265 |
|
|
| 266 |
|
CALL CHISQSTT(1,JFAIL) |
| 267 |
|
DO I=1,5 |
| 268 |
|
DAL(I)=0. |
| 269 |
|
DO J=1,5 |
| 270 |
|
DAL(I)=DAL(I)-CHI2DD(I,J)*CHI2D(J) |
| 271 |
|
ENDDO |
| 272 |
|
ENDDO |
| 273 |
|
|
| 274 |
|
DO I=1,5 |
| 275 |
|
DO j=1,5 |
| 276 |
|
COV(I,J) = 2.*CHI2DD(I,J) |
| 277 |
ENDDO |
ENDDO |
| 278 |
ENDDO |
ENDDO |
| 279 |
DAL(5)=0. |
|
| 280 |
DO I=1,4 |
CHI2TOLL = 1.E-3 |
| 281 |
AL(I)=AL(I)+DAL(I) |
ALPHA = 3.0 |
| 282 |
|
BETA = -0.4 |
| 283 |
|
E=1. |
| 284 |
|
EA=1. |
| 285 |
|
EB=1. |
| 286 |
|
EC=1. |
| 287 |
|
FA=1. |
| 288 |
|
FB=1. |
| 289 |
|
FC=1. |
| 290 |
|
SUCCESS_OLD = .FALSE. |
| 291 |
|
SUCCESS_NEW = .FALSE. |
| 292 |
|
|
| 293 |
|
CALL CHISQSTT(0,JFAIL) |
| 294 |
|
c$$$ PRINT*,CHI2 |
| 295 |
|
CHI2_NEW = CHI2 |
| 296 |
|
FC = CHI2 |
| 297 |
|
EC = 0. |
| 298 |
|
|
| 299 |
|
100 CONTINUE |
| 300 |
|
DO I=1,5 |
| 301 |
|
AL0(I)=AL(I) |
| 302 |
|
ENDDO |
| 303 |
|
DO I=1,5 |
| 304 |
|
AL(I)=AL(I)+E*DAL(I) |
| 305 |
ENDDO |
ENDDO |
| 306 |
|
CALL CHISQSTT(0,JFAIL) |
| 307 |
|
CHI2_OLD = CHI2_NEW |
| 308 |
|
CHI2_NEW = CHI2 |
| 309 |
|
FA = FB |
| 310 |
|
FB = FC |
| 311 |
|
FC = CHI2 |
| 312 |
|
EA = EB |
| 313 |
|
EB = EC |
| 314 |
|
EC = E |
| 315 |
|
|
| 316 |
|
c$$$ PRINT*,E,CHI2_NEW |
| 317 |
|
|
| 318 |
|
IF(CHI2_NEW.LE.CHI2_OLD) THEN ! success |
| 319 |
|
IF(DABS(CHI2_NEW-CHI2_OLD).LT.CHI2TOLL) GOTO 101 |
| 320 |
|
SUCCESS_OLD = SUCCESS_NEW |
| 321 |
|
SUCCESS_NEW = .TRUE. |
| 322 |
|
E = E*ALPHA |
| 323 |
|
ELSE ! failure |
| 324 |
|
SUCCESS_OLD = SUCCESS_NEW |
| 325 |
|
SUCCESS_NEW = .FALSE. |
| 326 |
|
CHI2_NEW = CHI2_OLD |
| 327 |
|
DO I=1,5 |
| 328 |
|
AL(I)=AL0(I) |
| 329 |
|
ENDDO |
| 330 |
|
IF(SUCCESS_OLD) THEN |
| 331 |
|
DENOM = (EB-EA)*(FB-FC) - (EB-EC)*(FB-FA) |
| 332 |
|
IF(DENOM.NE.0.) THEN |
| 333 |
|
E = EB - 0.5*( (EB-EA)**2*(FB-FC) |
| 334 |
|
$ - (EB-EC)**2*(FB-FA) ) / DENOM |
| 335 |
|
ELSE |
| 336 |
|
E = BETA*E |
| 337 |
|
ENDIF |
| 338 |
|
ELSE |
| 339 |
|
E = BETA*E |
| 340 |
|
ENDIF |
| 341 |
|
c$$$ E = BETA*E |
| 342 |
|
ENDIF |
| 343 |
|
GOTO 100 |
| 344 |
|
|
| 345 |
|
101 CONTINUE |
| 346 |
|
|
| 347 |
|
DO I=1,5 |
| 348 |
|
DAL(I)=E*DAL(I) |
| 349 |
|
ENDDO |
| 350 |
|
|
| 351 |
|
c$$$ print*,' ' |
| 352 |
|
c$$$ PRINT*,'DAL ',(DAL(K),K=1,5) |
| 353 |
|
c$$$ PRINT*,'CHI2DOLD ',(CHI2DOLD(K),K=1,5) |
| 354 |
|
c$$$ print*,'==== CHI2 ====' |
| 355 |
|
c$$$ print*,chi2 |
| 356 |
|
c$$$ print*,'==== CHI2d ====' |
| 357 |
|
c$$$ print*,(chi2d(i),i=1,5) |
| 358 |
|
c$$$ print*,'==== CHI2dd ====' |
| 359 |
|
c$$$ do j=1,5 |
| 360 |
|
c$$$ print*,(chi2dd(j,i),i=1,5) |
| 361 |
|
c$$$ enddo |
| 362 |
|
c$$$ print*,'================' |
| 363 |
|
c$$$ print*,' ' |
| 364 |
|
|
| 365 |
|
*========= FIN QUI ============= |
| 366 |
|
|
| 367 |
ENDIF |
ENDIF |
| 368 |
|
|
| 369 |
if(TRKDEBUG) print*,'mini2: step ',istep,chi2,1./AL(5) |
|
| 370 |
|
|
| 371 |
|
|
| 372 |
|
|
| 373 |
*------------------------------------------------------------* |
*------------------------------------------------------------* |
| 374 |
* ---------------------------------------------------- * |
* ---------------------------------------------------- * |
| 413 |
ALTOL(3) = DSQRT(ALTOL(1)**2+ALTOL(2)**2)/44.51 |
ALTOL(3) = DSQRT(ALTOL(1)**2+ALTOL(2)**2)/44.51 |
| 414 |
ALTOL(4) = ALTOL(3) |
ALTOL(4) = ALTOL(3) |
| 415 |
|
|
| 416 |
|
c$$$ print*,' -- ',(DAL(I),ALTOL(I),' - ',i=1,5) !>>>> new step! |
| 417 |
|
|
| 418 |
*---- check tolerances: |
*---- check tolerances: |
| 419 |
c$$$ DO I=1,5 |
c$$$ DO I=1,5 |
| 420 |
c$$$ if(TRKVERBOSE)print*,i,' -- ',DAL(I),ALTOL(I) !>>>> new step! |
c$$$ if(TRKVERBOSE)print*,i,' -- ',DAL(I),ALTOL(I) !>>>> new step! |
| 421 |
c$$$ ENDDO |
c$$$ ENDDO |
| 422 |
c$$$ print*,'chi2 -- ',DCHI2 |
c$$$ print*,'chi2 -- ',DCHI2 |
| 423 |
|
|
| 424 |
|
IF(ISTEP.LT.ISTEPMIN) GOTO 10 ! ***PP*** |
| 425 |
DO I=1,5 |
DO I=1,5 |
| 426 |
IF(ABS(DAL(I)).GT.ALTOL(I))GOTO 10 !>>>> new step! |
IF(ABS(DAL(I)).GT.ALTOL(I))GOTO 10 !>>>> new step! |
| 427 |
ENDDO |
ENDDO |
| 428 |
|
|
| 429 |
* new estimate of chi^2: |
***************************** |
| 430 |
JFAIL=0 !error flag |
* final estimate of chi^2 |
| 431 |
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
***************************** |
| 432 |
IF(JFAIL.NE.0) THEN |
|
| 433 |
IFAIL=1 |
* ------------------------------- |
| 434 |
if(TRKVERBOSE)THEN |
* **** Chi2+gaussian minimization |
| 435 |
CHI2=-9999. |
* ------------------------------- |
| 436 |
if(TRKVERBOSE) |
|
| 437 |
$ PRINT *,'*** ERROR in mini *** wrong CHISQ' |
IF(.NOT.STUDENT) THEN |
| 438 |
ENDIF |
|
| 439 |
RETURN |
JFAIL=0 !error flag |
| 440 |
ENDIF |
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
| 441 |
COST=1e-7 |
IF(JFAIL.NE.0) THEN |
|
DO I=1,5 |
|
|
DO J=1,5 |
|
|
CHI2DD(I,J)=CHI2DD(I,J)*COST |
|
|
ENDDO |
|
|
CHI2D(I)=CHI2D(I)*COST |
|
|
ENDDO |
|
|
IF(PFIXED.EQ.0.) THEN |
|
|
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
|
|
IF(IFA.NE.0) THEN !not positive-defined |
|
|
if(TRKVERBOSE)then |
|
|
PRINT *, |
|
|
$ '*** ERROR in mini ***'// |
|
|
$ 'on matrix inversion (not pos-def)' |
|
|
$ ,DET |
|
|
endif |
|
|
IF(CHI2.EQ.0) CHI2=-9999. |
|
|
IF(CHI2.GT.0) CHI2=-CHI2 |
|
| 442 |
IFAIL=1 |
IFAIL=1 |
| 443 |
RETURN |
if(TRKVERBOSE)THEN |
| 444 |
|
CHI2=-9999. |
| 445 |
|
if(TRKVERBOSE) |
| 446 |
|
$ PRINT *,'*** ERROR in mini *** wrong CHISQ' |
| 447 |
|
ENDIF |
| 448 |
|
RETURN |
| 449 |
ENDIF |
ENDIF |
| 450 |
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
c COST=1e-7 |
| 451 |
DO I=1,5 |
COST=1. |
| 452 |
DAL(I)=0. |
DO I=1,5 |
| 453 |
DO J=1,5 |
IF(CHI2DD(I,I).NE.0.)COST=COST/DABS(CHI2DD(I,I))**0.2 |
| 454 |
COV(I,J)=2.*COST*CHI2DD(I,J) |
ENDDO |
| 455 |
ENDDO |
DO I=1,5 |
| 456 |
ENDDO |
DO J=1,5 |
| 457 |
ELSE |
CHI2DD(I,J)=CHI2DD(I,J)*COST |
|
DO I=1,4 |
|
|
CHI2D_R(I)=CHI2D(I) |
|
|
DO J=1,4 |
|
|
CHI2DD_R(I,J)=CHI2DD(I,J) |
|
| 458 |
ENDDO |
ENDDO |
| 459 |
ENDDO |
ENDDO |
| 460 |
CALL DSFACT(4,CHI2DD_R,4,IFA,DET,JFA) |
IF(PFIXED.EQ.0.) THEN |
| 461 |
IF(IFA.NE.0) THEN |
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
| 462 |
if(TRKVERBOSE)then |
IF(IFA.NE.0) THEN !not positive-defined |
| 463 |
PRINT *, |
if(TRKVERBOSE)then |
| 464 |
$ '*** ERROR in mini ***'// |
PRINT *, |
| 465 |
$ 'on matrix inversion (not pos-def)' |
$ '*** ERROR in mini ***'// |
| 466 |
$ ,DET |
$ 'on matrix inversion (not pos-def)' |
| 467 |
endif |
$ ,DET |
| 468 |
IF(CHI2.EQ.0) CHI2=-9999. |
endif |
| 469 |
IF(CHI2.GT.0) CHI2=-CHI2 |
IF(CHI2.EQ.0) CHI2=-9999. |
| 470 |
IFAIL=1 |
IF(CHI2.GT.0) CHI2=-CHI2 |
| 471 |
RETURN |
IFAIL=1 |
| 472 |
|
RETURN |
| 473 |
|
ENDIF |
| 474 |
|
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
| 475 |
|
DO I=1,5 |
| 476 |
|
c$$$ DAL(I)=0. |
| 477 |
|
DO J=1,5 |
| 478 |
|
COV(I,J)=2.*COST*CHI2DD(I,J) |
| 479 |
|
ENDDO |
| 480 |
|
ENDDO |
| 481 |
|
ELSE |
| 482 |
|
DO I=1,4 |
| 483 |
|
CHI2D_R(I)=CHI2D(I) |
| 484 |
|
DO J=1,4 |
| 485 |
|
CHI2DD_R(I,J)=CHI2DD(I,J) |
| 486 |
|
ENDDO |
| 487 |
|
ENDDO |
| 488 |
|
CALL DSFACT(4,CHI2DD_R,4,IFA,DET,JFA) |
| 489 |
|
IF(IFA.NE.0) THEN |
| 490 |
|
if(TRKVERBOSE)then |
| 491 |
|
PRINT *, |
| 492 |
|
$ '*** ERROR in mini ***'// |
| 493 |
|
$ 'on matrix inversion (not pos-def)' |
| 494 |
|
$ ,DET |
| 495 |
|
endif |
| 496 |
|
IF(CHI2.EQ.0) CHI2=-9999. |
| 497 |
|
IF(CHI2.GT.0) CHI2=-CHI2 |
| 498 |
|
IFAIL=1 |
| 499 |
|
RETURN |
| 500 |
|
ENDIF |
| 501 |
|
CALL DSFINV(4,CHI2DD_R,4) |
| 502 |
|
DO I=1,4 |
| 503 |
|
c$$$ DAL(I)=0. |
| 504 |
|
DO J=1,4 |
| 505 |
|
COV(I,J)=2.*COST*CHI2DD_R(I,J) |
| 506 |
|
ENDDO |
| 507 |
|
ENDDO |
| 508 |
ENDIF |
ENDIF |
| 509 |
CALL DSFINV(4,CHI2DD_R,4) |
|
| 510 |
DO I=1,4 |
ENDIF |
| 511 |
DAL(I)=0. |
|
| 512 |
DO J=1,4 |
* ------------------------------- |
| 513 |
COV(I,J)=2.*COST*CHI2DD_R(I,J) |
* **** Likelihood+student minimization |
| 514 |
|
* ------------------------------- |
| 515 |
|
|
| 516 |
|
IF(STUDENT) THEN |
| 517 |
|
CALL CHISQSTT(1,JFAIL) |
| 518 |
|
DO I=1,5 |
| 519 |
|
DO j=1,5 |
| 520 |
|
COV(I,J) = 2.*CHI2DD(I,J) |
| 521 |
ENDDO |
ENDDO |
| 522 |
ENDDO |
ENDDO |
| 523 |
ENDIF |
ENDIF |
| 524 |
|
|
| 525 |
***************************** |
***************************** |
| 526 |
|
|
| 527 |
* ------------------------------------ |
* ------------------------------------ |
| 540 |
$ print*,'*** WARNING *** in mini n.dof = 0 (set to 1)' |
$ print*,'*** WARNING *** in mini n.dof = 0 (set to 1)' |
| 541 |
endif |
endif |
| 542 |
|
|
|
if(TRKDEBUG) print*,'mini2: -ok- ',istep,chi2,1./AL(5) |
|
|
|
|
| 543 |
* ------------------------------------ |
* ------------------------------------ |
| 544 |
* Reduced chi^2 |
* Reduced chi^2 |
| 545 |
CHI2 = CHI2/dble(ndof) |
CHI2 = CHI2/dble(ndof) |
| 548 |
|
|
| 549 |
11 CONTINUE |
11 CONTINUE |
| 550 |
|
|
| 551 |
|
if(TRKDEBUG) print*,'mini2: -ok- ',istep,chi2,1./AL(5) |
| 552 |
|
|
| 553 |
NSTEP=ISTEP ! ***PP*** |
NSTEP=ISTEP ! ***PP*** |
| 554 |
|
|
| 555 |
|
c$$$ print*,'>>>>> NSTEP = ',NSTEP |
| 556 |
|
|
| 557 |
RETURN |
RETURN |
| 558 |
END |
END |
| 559 |
|
|
| 619 |
* measured position of the cluster. |
* measured position of the cluster. |
| 620 |
* --------------------------------------------------------- |
* --------------------------------------------------------- |
| 621 |
CHI2=0. |
CHI2=0. |
| 622 |
DO I=1,nplanes |
DO I=1,nplanes |
| 623 |
IF(XGOOD(I).EQ.1.AND.YGOOD(I).EQ.0)THEN !X-cl |
IF(XGOOD(I).EQ.1.AND.YGOOD(I).EQ.0)THEN !X-cl |
| 624 |
BETA = (XM_B(I)-XM_A(I))/(YM_B(I)-YM_A(I)) |
BETA = (XM_B(I)-XM_A(I))/(YM_B(I)-YM_A(I)) |
| 625 |
ALFA = XM_A(I) - BETA * YM_A(I) |
ALFA = XM_A(I) - BETA * YM_A(I) |
| 775 |
RETURN |
RETURN |
| 776 |
END |
END |
| 777 |
|
|
| 778 |
|
****************************************************************************** |
| 779 |
|
* |
| 780 |
|
* routine to compute Likelihodd+Student and its derivatives |
| 781 |
|
* |
| 782 |
|
* (modified in respect to the previous one in order to include |
| 783 |
|
* single clusters. In this case the residual is evaluated by |
| 784 |
|
* calculating the distance between the track intersection and the |
| 785 |
|
* segment AB associated to the single cluster) |
| 786 |
|
* |
| 787 |
|
****************************************************************************** |
| 788 |
|
|
| 789 |
|
SUBROUTINE CHISQSTT(IFLAG,JFAIL) |
| 790 |
|
|
| 791 |
|
IMPLICIT DOUBLE PRECISION (A-H,O-Z) |
| 792 |
|
|
| 793 |
|
include 'commontracker.f' !tracker general common |
| 794 |
|
include 'common_mini_2.f' !common for the tracking procedure |
| 795 |
|
|
| 796 |
|
LOGICAL TRKDEBUG,TRKVERBOSE |
| 797 |
|
COMMON/TRKD/TRKDEBUG,TRKVERBOSE |
| 798 |
|
|
| 799 |
|
DIMENSION AL_P(5) |
| 800 |
|
DIMENSION VECTEMP(5) |
| 801 |
|
c$$$ DIMENSION U(5) ! BFGS |
| 802 |
|
|
| 803 |
|
DO I=1,5 |
| 804 |
|
AL_P(I)=AL(I) |
| 805 |
|
ENDDO |
| 806 |
|
JFAIL=0 !error flag |
| 807 |
|
CALL POSXYZ(AL_P,JFAIL) !track intersection with tracking planes |
| 808 |
|
IF(JFAIL.NE.0) THEN |
| 809 |
|
IF(TRKVERBOSE) |
| 810 |
|
$ PRINT *,'CHISQSTT ==> error from trk routine POSXYZ !!' |
| 811 |
|
IFAIL=1 |
| 812 |
|
RETURN |
| 813 |
|
ENDIF |
| 814 |
|
|
| 815 |
|
DO I=1,nplanes |
| 816 |
|
DXDAL(I,1)=1. |
| 817 |
|
DYDAL(I,1)=0. |
| 818 |
|
DXDAL(I,2)=0. |
| 819 |
|
DYDAL(I,2)=1. |
| 820 |
|
COSTHE=DSQRT(1.-AL(3)**2) |
| 821 |
|
IF(COSTHE.EQ.0.) THEN |
| 822 |
|
IF(TRKVERBOSE)PRINT *,'=== WARNING ===> COSTHE=0' |
| 823 |
|
IFAIL=1 |
| 824 |
|
RETURN |
| 825 |
|
ENDIF |
| 826 |
|
DXDAL(I,3)=(ZINI-ZM(I))*DCOS(AL(4))/COSTHE**3 |
| 827 |
|
DYDAL(I,3)=(ZINI-ZM(I))*DSIN(AL(4))/COSTHE**3 |
| 828 |
|
DXDAL(I,4)=-AL(3)*(ZINI-ZM(I))*DSIN(AL(4))/COSTHE |
| 829 |
|
DYDAL(I,4)=AL(3)*(ZINI-ZM(I))*DCOS(AL(4))/COSTHE |
| 830 |
|
IF(AL(5).NE.0.) THEN |
| 831 |
|
DXDAL(I,5)= |
| 832 |
|
+ (XV(I)-(AL(1)+AL(3)/COSTHE*(ZINI-ZM(I)) |
| 833 |
|
+ *DCOS(AL(4))))/AL(5) |
| 834 |
|
DYDAL(I,5)= |
| 835 |
|
+ (YV(I)-(AL(2)+AL(3)/COSTHE*(ZINI-ZM(I)) |
| 836 |
|
+ *DSIN(AL(4))))/AL(5) |
| 837 |
|
ELSE |
| 838 |
|
DXDAL(I,5)=100.*( 0.25 *0.3*0.4*(0.01*(ZINI-ZM(I)))**2 ) |
| 839 |
|
DYDAL(I,5)=0. |
| 840 |
|
ENDIF |
| 841 |
|
ENDDO |
| 842 |
|
|
| 843 |
|
IF(IFLAG.EQ.0) THEN ! function calulation |
| 844 |
|
CHI2=0. |
| 845 |
|
DO I=1,nplanes |
| 846 |
|
IF(XGOOD(I).EQ.1.AND.YGOOD(I).EQ.0)THEN !X-cl |
| 847 |
|
BETA = (XM_B(I)-XM_A(I))/(YM_B(I)-YM_A(I)) |
| 848 |
|
ALFA = XM_A(I) - BETA * YM_A(I) |
| 849 |
|
YM(I) = ( YV(I) + BETA*XV(I) - BETA*ALFA )/(1+BETA**2) |
| 850 |
|
if(YM(I).lt.dmin1(YM_A(I),YM_B(I))) |
| 851 |
|
$ YM(I)=dmin1(YM_A(I),YM_B(I)) |
| 852 |
|
if(YM(I).gt.dmax1(YM_A(I),YM_B(I))) |
| 853 |
|
$ YM(I)=dmax1(YM_A(I),YM_B(I)) |
| 854 |
|
XM(I) = ALFA + BETA * YM(I) !<<<< measured coordinates |
| 855 |
|
ELSEIF(XGOOD(I).EQ.0.AND.YGOOD(I).EQ.1)THEN !Y-cl |
| 856 |
|
BETA = (YM_B(I)-YM_A(I))/(XM_B(I)-XM_A(I)) |
| 857 |
|
ALFA = YM_A(I) - BETA * XM_A(I) |
| 858 |
|
XM(I) = ( XV(I) + BETA*YV(I) - BETA*ALFA )/(1+BETA**2) |
| 859 |
|
if(XM(I).lt.dmin1(XM_A(I),XM_B(I))) |
| 860 |
|
$ XM(I)=dmin1(XM_A(I),XM_B(I)) |
| 861 |
|
if(XM(I).gt.dmax1(XM_A(I),XM_B(I))) |
| 862 |
|
$ XM(I)=dmax1(XM_A(I),XM_B(I)) |
| 863 |
|
YM(I) = ALFA + BETA * XM(I) !<<<< measured coordinates |
| 864 |
|
ENDIF |
| 865 |
|
TERMX = DLOG( (TAILX(I)*RESX(I)**2+(XV(I)-XM(I))**2)/ |
| 866 |
|
$ (TAILX(I)*RESX(I)**2) ) |
| 867 |
|
TERMY = DLOG( (TAILY(I)*RESY(I)**2+(YV(I)-YM(I))**2)/ |
| 868 |
|
$ (TAILY(I)*RESY(I)**2) ) |
| 869 |
|
CHI2=CHI2 |
| 870 |
|
$ +(TAILX(I)+1.0)*TERMX *( XGOOD(I) ) |
| 871 |
|
$ +(TAILY(I)+1.0)*TERMY *( YGOOD(I) ) |
| 872 |
|
ENDDO |
| 873 |
|
ENDIF |
| 874 |
|
|
| 875 |
|
IF(IFLAG.EQ.1) THEN ! derivative calulation |
| 876 |
|
DO I=1,5 |
| 877 |
|
CHI2DOLD(I)=CHI2D(I) |
| 878 |
|
ENDDO |
| 879 |
|
DO J=1,5 |
| 880 |
|
CHI2D(J)=0. |
| 881 |
|
DO I=1,nplanes |
| 882 |
|
CHI2D(J)=CHI2D(J) |
| 883 |
|
$ +2.*(TAILX(I)+1.0)*(XV(I)-XM(I))/ |
| 884 |
|
$ (TAILX(I)*RESX(I)**2+(XV(I)-XM(I))**2)* |
| 885 |
|
$ DXDAL(I,J) *XGOOD(I) |
| 886 |
|
$ +2.*(TAILY(I)+1.0)*(YV(I)-YM(I))/ |
| 887 |
|
$ (TAILY(I)*RESY(I)**2+(YV(I)-YM(I))**2)* |
| 888 |
|
$ DYDAL(I,J) *YGOOD(I) |
| 889 |
|
ENDDO |
| 890 |
|
ENDDO |
| 891 |
|
DO K=1,5 |
| 892 |
|
VECTEMP(K)=0. |
| 893 |
|
DO M=1,5 |
| 894 |
|
VECTEMP(K) = VECTEMP(K) + |
| 895 |
|
$ COV(K,M)/2.*(CHI2D(M)-CHI2DOLD(M)) |
| 896 |
|
ENDDO |
| 897 |
|
ENDDO |
| 898 |
|
DOWN1 = 0. |
| 899 |
|
DO K=1,5 |
| 900 |
|
DOWN1 = DOWN1 + DAL(K)*(CHI2D(K)-CHI2DOLD(K)) |
| 901 |
|
ENDDO |
| 902 |
|
IF(DOWN1.EQ.0.) THEN |
| 903 |
|
PRINT*,'WARNING IN MATRIX CALULATION (STUDENT), DOWN1 = 0' |
| 904 |
|
IFAIL=1 |
| 905 |
|
RETURN |
| 906 |
|
ENDIF |
| 907 |
|
DOWN2 = 0. |
| 908 |
|
DO K=1,5 |
| 909 |
|
DO M=1,5 |
| 910 |
|
DOWN2 = DOWN2 + (CHI2D(K)-CHI2DOLD(K))*VECTEMP(K) |
| 911 |
|
ENDDO |
| 912 |
|
ENDDO |
| 913 |
|
IF(DOWN2.EQ.0.) THEN |
| 914 |
|
PRINT*,'WARNING IN MATRIX CALULATION (STUDENT), DOWN2 = 0' |
| 915 |
|
IFAIL=1 |
| 916 |
|
RETURN |
| 917 |
|
ENDIF |
| 918 |
|
c$$$ DO K=1,5 ! BFGS |
| 919 |
|
c$$$ U(K) = DAL(K)/DOWN1 - VECTEMP(K)/DOWN2 |
| 920 |
|
c$$$ ENDDO |
| 921 |
|
DO I=1,5 |
| 922 |
|
DO J=1,5 |
| 923 |
|
CHI2DD(I,J) = COV(I,J)/2. |
| 924 |
|
$ +DAL(I)*DAL(J)/DOWN1 |
| 925 |
|
$ -VECTEMP(I)*VECTEMP(J)/DOWN2 |
| 926 |
|
c$$$ $ +DOWN2*U(I)*U(J) ! BFGS |
| 927 |
|
ENDDO |
| 928 |
|
ENDDO |
| 929 |
|
ENDIF |
| 930 |
|
|
| 931 |
|
RETURN |
| 932 |
|
END |
| 933 |
|
|
| 934 |
***************************************************************** |
***************************************************************** |
| 935 |
* |
* |
| 936 |
* Routine to compute the track intersection points |
* Routine to compute the track intersection points |
| 969 |
c |
c |
| 970 |
DIMENSION AL_P(5) |
DIMENSION AL_P(5) |
| 971 |
* |
* |
| 972 |
DO I=1,nplanes |
cpp DO I=1,nplanes |
| 973 |
ZV(I)=ZM(I) ! |
cpp ZV(I)=ZM(I) ! |
| 974 |
ENDDO |
cpp ENDDO |
| 975 |
* |
* |
| 976 |
* set parameters for GRKUTA |
* set parameters for GRKUTA |
| 977 |
* |
* |
| 989 |
c$$$ print*,'POSXY (prima) ',vout |
c$$$ print*,'POSXY (prima) ',vout |
| 990 |
|
|
| 991 |
DO I=1,nplanes |
DO I=1,nplanes |
| 992 |
step=vout(3)-zv(i) |
cpp step=vout(3)-zv(i) |
| 993 |
|
step=vout(3)-zm(i) |
| 994 |
10 DO J=1,7 |
10 DO J=1,7 |
| 995 |
VECT(J)=VOUT(J) |
VECT(J)=VOUT(J) |
| 996 |
VECTINI(J)=VOUT(J) |
VECTINI(J)=VOUT(J) |
| 1032 |
AYV(I)=DATAN(VOUT(5)/VOUT(6))*180./ACOS(-1.) |
AYV(I)=DATAN(VOUT(5)/VOUT(6))*180./ACOS(-1.) |
| 1033 |
* ----------------------------------------------- |
* ----------------------------------------------- |
| 1034 |
|
|
| 1035 |
|
IF(TRACKMODE.EQ.1) THEN |
| 1036 |
|
* ----------------------------------------------- |
| 1037 |
|
* change of energy by bremsstrahlung for electrons |
| 1038 |
|
VOUT(7) = VOUT(7) * 0.997 !0.9968 |
| 1039 |
|
* ----------------------------------------------- |
| 1040 |
|
ENDIF |
| 1041 |
|
|
| 1042 |
ENDDO |
ENDDO |
| 1043 |
|
|
| 1044 |
c$$$ print*,'POSXY (dopo) ',vout |
c$$$ print*,'POSXY (dopo) ',vout |
| 1084 |
RESY(IP) = 1000. !12.d-4 |
RESY(IP) = 1000. !12.d-4 |
| 1085 |
XGOOD(IP) = 0 |
XGOOD(IP) = 0 |
| 1086 |
YGOOD(IP) = 0 |
YGOOD(IP) = 0 |
| 1087 |
|
DEDXTRK_X(IP) = 0 |
| 1088 |
|
DEDXTRK_Y(IP) = 0 |
| 1089 |
|
AXV(IP) = 0 |
| 1090 |
|
AYV(IP) = 0 |
| 1091 |
|
XV(IP) = -100 |
| 1092 |
|
YV(IP) = -100 |
| 1093 |
enddo |
enddo |
| 1094 |
|
|
| 1095 |
return |
return |
| 1162 |
ENDDO |
ENDDO |
| 1163 |
IFLAG=0 !no debug mode |
IFLAG=0 !no debug mode |
| 1164 |
CALL TRICIRCLE(NP,XP,ZP,AP,RP,CHI,XC,ZC,RADIUS,IFLAG) |
CALL TRICIRCLE(NP,XP,ZP,AP,RP,CHI,XC,ZC,RADIUS,IFLAG) |
| 1165 |
c print*,' circle: ',XC,ZC,RADIUS,' --- ',CHI,IFLAG |
|
| 1166 |
|
c$$$ print*,' circle: ',XC,ZC,RADIUS,' --- ',CHI,IFLAG |
| 1167 |
|
c$$$ print*,' XP ',(xp(i),i=1,np) |
| 1168 |
|
c$$$ print*,' ZP ',(zp(i),i=1,np) |
| 1169 |
|
c$$$ print*,' AP ',(ap(i),i=1,np) |
| 1170 |
|
c$$$ print*,' XP ',(rp(i),i=1,np) |
| 1171 |
|
|
| 1172 |
IF(IFLAG.NE.0)GOTO 10 !straigth fit |
IF(IFLAG.NE.0)GOTO 10 !straigth fit |
| 1173 |
if(CHI.gt.100)GOTO 10 !straigth fit |
c if(CHI.gt.100)GOTO 10 !straigth fit |
| 1174 |
ARG = RADIUS**2-(ZINI-ZC)**2 |
ARG = RADIUS**2-(ZINI-ZC)**2 |
| 1175 |
IF(ARG.LT.0)GOTO 10 !straigth fit |
IF(ARG.LT.0)GOTO 10 !straigth fit |
| 1176 |
DC = SQRT(ARG) |
DC = SQRT(ARG) |
| 1180 |
DEF=100./(RADIUS*0.3*0.43) |
DEF=100./(RADIUS*0.3*0.43) |
| 1181 |
IF(XC.GT.0)DEF=-DEF |
IF(XC.GT.0)DEF=-DEF |
| 1182 |
|
|
| 1183 |
|
|
| 1184 |
|
|
| 1185 |
IF(ABS(X0).GT.30)THEN |
IF(ABS(X0).GT.30)THEN |
| 1186 |
c$$$ PRINT*,'STRANGE GUESS: XC,ZC,R ',XC,ZC,RADIUS |
c$$$ PRINT*,'STRANGE GUESS: XC,ZC,R ',XC,ZC,RADIUS |
| 1187 |
c$$$ $ ,' - CHI ',CHI,' - X0,AX,DEF ',X0,AX,DEF |
c$$$ $ ,' - CHI ',CHI,' - X0,AX,DEF ',X0,AX,DEF |