| 12 |
************************************************************************ |
************************************************************************ |
| 13 |
|
|
| 14 |
|
|
| 15 |
SUBROUTINE MINI_2(ISTEP,IFAIL) |
SUBROUTINE MINI2(ISTEP,IFAIL,IPRINT) |
| 16 |
|
|
| 17 |
IMPLICIT DOUBLE PRECISION (A-H,O-Z) |
IMPLICIT DOUBLE PRECISION (A-H,O-Z) |
| 18 |
|
|
| 19 |
include 'commontracker.f' !tracker general common |
include 'commontracker.f' !tracker general common |
| 20 |
include 'common_mini_2.f' !common for the tracking procedure |
include 'common_mini_2.f' !common for the tracking procedure |
| 21 |
|
|
| 22 |
logical DEBUG |
c logical DEBUG |
| 23 |
common/dbg/DEBUG |
c common/dbg/DEBUG |
| 24 |
|
|
| 25 |
parameter (inf=1.e8) !just a huge number... |
parameter (inf=1.e8) !just a huge number... |
| 26 |
c------------------------------------------------------------------------ |
c------------------------------------------------------------------------ |
| 31 |
c ordering, but they maintain their Z coordinates. so plane number 1 is |
c ordering, but they maintain their Z coordinates. so plane number 1 is |
| 32 |
c the first one that a particle meets, and its Z coordinate is > 0 |
c the first one that a particle meets, and its Z coordinate is > 0 |
| 33 |
c------------------------------------------------------------------------ |
c------------------------------------------------------------------------ |
| 34 |
DATA ZINI/23.5/ !z coordinate of the reference plane |
DATA ZINI/23.5/ !!! ***PP*** to be changed !z coordinate of the reference plane |
| 35 |
|
|
| 36 |
DATA XGOOD,YGOOD/nplanes*1.,nplanes*1./ !planes to be used in the tracking |
c DATA XGOOD,YGOOD/nplanes*1.,nplanes*1./ !planes to be used in the tracking |
| 37 |
|
|
| 38 |
DATA STEPAL/5*1.d-7/ !alpha vector step |
DATA STEPAL/5*1.d-7/ !alpha vector step |
| 39 |
DATA ISTEPMAX/100/ !maximum number of steps in the chi^2 minimization |
DATA ISTEPMAX/100/ !maximum number of steps in the chi^2 minimization |
| 48 |
|
|
| 49 |
|
|
| 50 |
DIMENSION DAL(5) !increment of vector alfa |
DIMENSION DAL(5) !increment of vector alfa |
| 51 |
|
DIMENSION CHI2DD_R(4,4),CHI2D_R(4) !hessiano e gradiente di chi2 |
| 52 |
|
|
| 53 |
INTEGER IFLAG |
INTEGER IFLAG |
| 54 |
c-------------------------------------------------------- |
c-------------------------------------------------------- |
| 60 |
c NB: the two metods gives equivalent results BUT |
c NB: the two metods gives equivalent results BUT |
| 61 |
c method 2 is faster!! |
c method 2 is faster!! |
| 62 |
c-------------------------------------------------------- |
c-------------------------------------------------------- |
| 63 |
DATA IFLAG/2/ |
DATA IFLAG/2/ |
| 64 |
|
|
| 65 |
|
LOGICAL TRKDEBUG |
| 66 |
|
COMMON/TRKD/TRKDEBUG |
| 67 |
|
|
| 68 |
|
IF(IPRINT.EQ.1) THEN |
| 69 |
|
TRKDEBUG = .TRUE. |
| 70 |
|
ELSE |
| 71 |
|
TRKDEBUG = .FALSE. |
| 72 |
|
ENDIF |
| 73 |
|
|
| 74 |
* ---------------------------------------------------------- |
* ---------------------------------------------------------- |
| 75 |
* define ALTOL(5) ---> tolerances on state vector |
* define ALTOL(5) ---> tolerances on state vector |
| 89 |
* |
* |
| 90 |
ISTEP=0 !num. steps to minimize chi^2 |
ISTEP=0 !num. steps to minimize chi^2 |
| 91 |
JFAIL=0 !error flag |
JFAIL=0 !error flag |
|
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
|
|
IF(JFAIL.NE.0) THEN |
|
|
IFAIL=1 |
|
|
if(DEBUG) |
|
|
$ PRINT *,'mini_2 ===> error on CHISQ computation !!!' |
|
|
RETURN |
|
|
ENDIF |
|
| 92 |
* |
* |
| 93 |
* ----------------------- |
* ----------------------- |
| 94 |
* START MINIMIZATION LOOP |
* START MINIMIZATION LOOP |
| 95 |
* ----------------------- |
* ----------------------- |
| 96 |
10 ISTEP=ISTEP+1 !<<<<<<<<<<<<<< NEW STEP !! |
10 ISTEP=ISTEP+1 !<<<<<<<<<<<<<< NEW STEP !! |
| 97 |
CHI2_P=CHI2 |
|
| 98 |
|
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
| 99 |
|
IF(JFAIL.NE.0) THEN |
| 100 |
|
IFAIL=1 |
| 101 |
|
CHI2=-9999. |
| 102 |
|
if(TRKDEBUG) |
| 103 |
|
$ PRINT *,'*** ERROR in mini *** wrong CHISQ' |
| 104 |
|
RETURN |
| 105 |
|
ENDIF |
| 106 |
|
|
| 107 |
|
* CHI2_P=CHI2 |
| 108 |
|
|
| 109 |
c print*,'@@@@@ ',istep,' - ',al |
c print*,'@@@@@ ',istep,' - ',al |
| 110 |
|
|
| 111 |
cost=1e-7 |
COST=1e-7 |
| 112 |
DO I=1,5 |
DO I=1,5 |
| 113 |
DO J=1,5 |
DO J=1,5 |
| 114 |
CHI2DD(I,J)=CHI2DD(I,J)*COST |
CHI2DD(I,J)=CHI2DD(I,J)*COST |
| 115 |
ENDDO |
ENDDO |
| 116 |
CHI2D(I)=CHI2D(I)*COST |
CHI2D(I)=CHI2D(I)*COST |
| 117 |
ENDDO |
ENDDO |
| 118 |
|
|
| 119 |
|
IF(PFIXED.EQ.0.) THEN |
| 120 |
|
|
| 121 |
*------------------------------------------------------------* |
*------------------------------------------------------------* |
| 122 |
* track fitting with FREE deflection |
* track fitting with FREE deflection |
| 123 |
*------------------------------------------------------------* |
*------------------------------------------------------------* |
| 124 |
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
| 125 |
IF(IFA.NE.0) THEN !not positive-defined |
IF(IFA.NE.0) THEN !not positive-defined |
| 126 |
if(DEBUG)then |
if(TRKDEBUG)then |
| 127 |
PRINT *, |
PRINT *, |
| 128 |
$ 'MINI_HOUGH ==> '// |
$ '*** ERROR in mini ***'// |
| 129 |
$ '** ERROR ** on matrix inversion (not positive-defined)!!!' |
$ 'on matrix inversion (not pos-def)' |
| 130 |
$ ,DET |
$ ,DET |
| 131 |
endif |
endif |
| 132 |
IFAIL=1 |
IF(CHI2.EQ.0) CHI2=-9999. |
| 133 |
RETURN |
IF(CHI2.GT.0) CHI2=-CHI2 |
| 134 |
ENDIF |
IFAIL=1 |
| 135 |
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
RETURN |
| 136 |
|
ENDIF |
| 137 |
|
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
| 138 |
* ******************************************* |
* ******************************************* |
| 139 |
* find new value of AL-pha !* |
* find new value of AL-pha |
| 140 |
* !* |
* |
| 141 |
DO I=1,5 !* |
DO I=1,5 |
| 142 |
DAL(I)=0. !* |
DAL(I)=0. |
| 143 |
DO J=1,5 !* |
DO J=1,5 |
| 144 |
DAL(I)=DAL(I)-CHI2DD(I,J)*CHI2D(J) !* |
DAL(I)=DAL(I)-CHI2DD(I,J)*CHI2D(J) |
| 145 |
COV(I,J)=CHI2DD(I,J) !* |
COV(I,J)=2.*COST*CHI2DD(I,J) |
| 146 |
ENDDO !* |
ENDDO |
| 147 |
ENDDO !* |
ENDDO |
| 148 |
DO I=1,5 !* |
DO I=1,5 |
| 149 |
AL(I)=AL(I)+DAL(I) !* |
AL(I)=AL(I)+DAL(I) |
| 150 |
ENDDO !* |
ENDDO |
| 151 |
|
*------------------------------------------------------------* |
| 152 |
|
* track fitting with FIXED deflection |
| 153 |
|
*------------------------------------------------------------* |
| 154 |
|
ELSE |
| 155 |
|
AL(5)=1./PFIXED |
| 156 |
|
DO I=1,4 |
| 157 |
|
CHI2D_R(I)=CHI2D(I) |
| 158 |
|
DO J=1,4 |
| 159 |
|
CHI2DD_R(I,J)=CHI2DD(I,J) |
| 160 |
|
ENDDO |
| 161 |
|
ENDDO |
| 162 |
|
CALL DSFACT(4,CHI2DD_R,4,IFA,DET,JFA) |
| 163 |
|
IF(IFA.NE.0) THEN |
| 164 |
|
if(TRKDEBUG)then |
| 165 |
|
PRINT *, |
| 166 |
|
$ '*** ERROR in mini ***'// |
| 167 |
|
$ 'on matrix inversion (not pos-def)' |
| 168 |
|
$ ,DET |
| 169 |
|
endif |
| 170 |
|
IF(CHI2.EQ.0) CHI2=-9999. |
| 171 |
|
IF(CHI2.GT.0) CHI2=-CHI2 |
| 172 |
|
IFAIL=1 |
| 173 |
|
RETURN |
| 174 |
|
ENDIF |
| 175 |
|
CALL DSFINV(4,CHI2DD_R,4) |
| 176 |
|
DO I=1,4 |
| 177 |
|
DAL(I)=0. |
| 178 |
|
DO J=1,4 |
| 179 |
|
DAL(I)=DAL(I)-CHI2DD_R(I,J)*CHI2D_R(J) |
| 180 |
|
COV(I,J)=2.*COST*CHI2DD_R(I,J) |
| 181 |
|
ENDDO |
| 182 |
|
ENDDO |
| 183 |
|
DAL(5)=0. |
| 184 |
|
DO I=1,4 |
| 185 |
|
AL(I)=AL(I)+DAL(I) |
| 186 |
|
ENDDO |
| 187 |
|
ENDIF |
| 188 |
|
*------------------------------------------------------------* |
| 189 |
|
* ---------------------------------------------------- * |
| 190 |
|
*------------------------------------------------------------* |
| 191 |
* ******************************************* |
* ******************************************* |
| 192 |
* check parameter bounds: |
* check parameter bounds: |
| 193 |
DO I=1,5 |
DO I=1,5 |
| 194 |
IF(AL(I).GT.ALMAX(I).OR.AL(I).LT.ALMIN(I))THEN |
IF(AL(I).GT.ALMAX(I).OR.AL(I).LT.ALMIN(I))THEN |
| 195 |
if(DEBUG)then |
if(TRKDEBUG)then |
| 196 |
PRINT*,' **WARNING** ' |
PRINT*,' *** WARNING in mini *** ' |
| 197 |
PRINT*,'MINI_2 ==> AL(',I,') out of range' |
PRINT*,'MINI_2 ==> AL(',I,') out of range' |
| 198 |
PRINT*,' value: ',AL(I), |
PRINT*,' value: ',AL(I), |
| 199 |
$ ' limits: ',ALMIN(I),ALMAX(I) |
$ ' limits: ',ALMIN(I),ALMAX(I) |
| 200 |
print*,'istep ',istep |
print*,'istep ',istep |
| 201 |
endif |
endif |
| 202 |
|
IF(CHI2.EQ.0) CHI2=-9999. |
| 203 |
|
IF(CHI2.GT.0) CHI2=-CHI2 |
| 204 |
IFAIL=1 |
IFAIL=1 |
| 205 |
RETURN |
RETURN |
| 206 |
ENDIF |
ENDIF |
| 207 |
ENDDO |
ENDDO |
| 208 |
* new estimate of chi^2: |
|
|
JFAIL=0 !error flag |
|
|
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
|
|
IF(JFAIL.NE.0) THEN |
|
|
IFAIL=1 |
|
|
if(DEBUG) |
|
|
$ PRINT *,'mini_2: ===> error on CHISQ computation !!!' |
|
|
RETURN |
|
|
ENDIF |
|
| 209 |
* check number of steps: |
* check number of steps: |
| 210 |
IF(ISTEP.gt.ISTEPMAX) then |
IF(ISTEP.gt.ISTEPMAX) then |
| 211 |
IFAIL=1 |
IFAIL=1 |
| 212 |
if(DEBUG) |
if(TRKDEBUG) |
| 213 |
$ PRINT *,'mini_2: WARNING ===> ISTEP.GT.ISTEPMAX=',ISTEPMAX |
$ PRINT *,'*** WARNING in mini *** ISTEP.GT.ISTEPMAX=', |
| 214 |
|
$ ISTEPMAX |
| 215 |
goto 11 |
goto 11 |
| 216 |
endif |
endif |
| 217 |
* --------------------------------------------- |
* --------------------------------------------- |
| 224 |
IF(ABS(DAL(I)).GT.ALTOL(I))GOTO 10 !>>>> new step! |
IF(ABS(DAL(I)).GT.ALTOL(I))GOTO 10 !>>>> new step! |
| 225 |
ENDDO |
ENDDO |
| 226 |
|
|
| 227 |
|
* new estimate of chi^2: |
| 228 |
|
JFAIL=0 !error flag |
| 229 |
|
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
| 230 |
|
IF(JFAIL.NE.0) THEN |
| 231 |
|
IFAIL=1 |
| 232 |
|
if(TRKDEBUG)THEN |
| 233 |
|
CHI2=-9999. |
| 234 |
|
if(TRKDEBUG) |
| 235 |
|
$ PRINT *,'*** ERROR in mini *** wrong CHISQ' |
| 236 |
|
ENDIF |
| 237 |
|
RETURN |
| 238 |
|
ENDIF |
| 239 |
|
COST=1e-7 |
| 240 |
|
DO I=1,5 |
| 241 |
|
DO J=1,5 |
| 242 |
|
CHI2DD(I,J)=CHI2DD(I,J)*COST |
| 243 |
|
ENDDO |
| 244 |
|
CHI2D(I)=CHI2D(I)*COST |
| 245 |
|
ENDDO |
| 246 |
|
IF(PFIXED.EQ.0.) THEN |
| 247 |
|
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
| 248 |
|
IF(IFA.NE.0) THEN !not positive-defined |
| 249 |
|
if(TRKDEBUG)then |
| 250 |
|
PRINT *, |
| 251 |
|
$ '*** ERROR in mini ***'// |
| 252 |
|
$ 'on matrix inversion (not pos-def)' |
| 253 |
|
$ ,DET |
| 254 |
|
endif |
| 255 |
|
IF(CHI2.EQ.0) CHI2=-9999. |
| 256 |
|
IF(CHI2.GT.0) CHI2=-CHI2 |
| 257 |
|
IFAIL=1 |
| 258 |
|
RETURN |
| 259 |
|
ENDIF |
| 260 |
|
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
| 261 |
|
DO I=1,5 |
| 262 |
|
DAL(I)=0. |
| 263 |
|
DO J=1,5 |
| 264 |
|
COV(I,J)=2.*COST*CHI2DD(I,J) |
| 265 |
|
ENDDO |
| 266 |
|
ENDDO |
| 267 |
|
ELSE |
| 268 |
|
DO I=1,4 |
| 269 |
|
CHI2D_R(I)=CHI2D(I) |
| 270 |
|
DO J=1,4 |
| 271 |
|
CHI2DD_R(I,J)=CHI2DD(I,J) |
| 272 |
|
ENDDO |
| 273 |
|
ENDDO |
| 274 |
|
CALL DSFACT(4,CHI2DD_R,4,IFA,DET,JFA) |
| 275 |
|
IF(IFA.NE.0) THEN |
| 276 |
|
if(TRKDEBUG)then |
| 277 |
|
PRINT *, |
| 278 |
|
$ '*** ERROR in mini ***'// |
| 279 |
|
$ 'on matrix inversion (not pos-def)' |
| 280 |
|
$ ,DET |
| 281 |
|
endif |
| 282 |
|
IF(CHI2.EQ.0) CHI2=-9999. |
| 283 |
|
IF(CHI2.GT.0) CHI2=-CHI2 |
| 284 |
|
IFAIL=1 |
| 285 |
|
RETURN |
| 286 |
|
ENDIF |
| 287 |
|
CALL DSFINV(4,CHI2DD_R,4) |
| 288 |
|
DO I=1,4 |
| 289 |
|
DAL(I)=0. |
| 290 |
|
DO J=1,4 |
| 291 |
|
COV(I,J)=2.*COST*CHI2DD_R(I,J) |
| 292 |
|
ENDDO |
| 293 |
|
ENDDO |
| 294 |
|
ENDIF |
| 295 |
|
***************************** |
| 296 |
|
|
| 297 |
* ------------------------------------ |
* ------------------------------------ |
| 298 |
* Number of Degree Of Freedom |
* Number of Degree Of Freedom |
| 302 |
$ +int(xgood(ip)) |
$ +int(xgood(ip)) |
| 303 |
$ +int(ygood(ip)) |
$ +int(ygood(ip)) |
| 304 |
enddo |
enddo |
| 305 |
ndof=ndof-5 |
if(pfixed.eq.0.) ndof=ndof-5 ! ***PP*** |
| 306 |
|
if(pfixed.ne.0.) ndof=ndof-4 ! ***PP*** |
| 307 |
|
if(ndof.le.0.) then |
| 308 |
|
ndof = 1 |
| 309 |
|
if(TRKDEBUG) |
| 310 |
|
$ print*,'*** WARNING *** in mini n.dof = 0 (set to 1)' |
| 311 |
|
endif |
| 312 |
* ------------------------------------ |
* ------------------------------------ |
| 313 |
* Reduced chi^2 |
* Reduced chi^2 |
| 314 |
CHI2 = CHI2/dble(ndof) |
CHI2 = CHI2/dble(ndof) |
| 315 |
|
|
|
|
|
| 316 |
11 CONTINUE |
11 CONTINUE |
| 317 |
|
|
| 318 |
101 CONTINUE |
NSTEP=ISTEP ! ***PP*** |
|
|
|
|
c print*,'END MINI' |
|
| 319 |
|
|
| 320 |
RETURN |
RETURN |
| 321 |
END |
END |
| 342 |
DIMENSION XV2(nplanes),YV2(nplanes),XV1(nplanes),YV1(nplanes) |
DIMENSION XV2(nplanes),YV2(nplanes),XV1(nplanes),YV1(nplanes) |
| 343 |
$ ,XV0(nplanes),YV0(nplanes) |
$ ,XV0(nplanes),YV0(nplanes) |
| 344 |
DIMENSION AL_P(5) |
DIMENSION AL_P(5) |
| 345 |
|
|
| 346 |
|
LOGICAL TRKDEBUG |
| 347 |
|
COMMON/TRKD/TRKDEBUG |
| 348 |
* |
* |
| 349 |
* chi^2 computation |
* chi^2 computation |
| 350 |
* |
* |
| 354 |
JFAIL=0 !error flag |
JFAIL=0 !error flag |
| 355 |
CALL POSXYZ(AL_P,JFAIL) !track intersection with tracking planes |
CALL POSXYZ(AL_P,JFAIL) !track intersection with tracking planes |
| 356 |
IF(JFAIL.NE.0) THEN |
IF(JFAIL.NE.0) THEN |
| 357 |
PRINT *,'CHISQ ==> error from tracking routine POSXYZ !!' |
IF(TRKDEBUG) |
| 358 |
|
$ PRINT *,'CHISQ ==> error from trk routine POSXYZ !!' |
| 359 |
IFAIL=1 |
IFAIL=1 |
| 360 |
RETURN |
RETURN |
| 361 |
ENDIF |
ENDIF |
| 426 |
JFAIL=0 |
JFAIL=0 |
| 427 |
CALL POSXYZ(AL_P,JFAIL) |
CALL POSXYZ(AL_P,JFAIL) |
| 428 |
IF(JFAIL.NE.0) THEN |
IF(JFAIL.NE.0) THEN |
| 429 |
PRINT *,'CHISQ ==> error from tracking routine POSXYZ !!' |
IF(TRKDEBUG) |
| 430 |
|
*23456789012345678901234567890123456789012345678901234567890123456789012 |
| 431 |
|
$ PRINT *,'CHISQ ==> error from trk routine POSXYZ' |
| 432 |
IFAIL=1 |
IFAIL=1 |
| 433 |
RETURN |
RETURN |
| 434 |
ENDIF |
ENDIF |
| 440 |
JFAIL=0 |
JFAIL=0 |
| 441 |
CALL POSXYZ(AL_P,JFAIL) |
CALL POSXYZ(AL_P,JFAIL) |
| 442 |
IF(JFAIL.NE.0) THEN |
IF(JFAIL.NE.0) THEN |
| 443 |
PRINT *,'CHISQ ==> error from tracking routine POSXYZ !!' |
IF(TRKDEBUG) |
| 444 |
|
$ PRINT *,'CHISQ ==> error from trk routine POSXYZ' |
| 445 |
IFAIL=1 |
IFAIL=1 |
| 446 |
RETURN |
RETURN |
| 447 |
ENDIF |
ENDIF |
| 472 |
|
|
| 473 |
COSTHE=DSQRT(1.-AL(3)**2) |
COSTHE=DSQRT(1.-AL(3)**2) |
| 474 |
IF(COSTHE.EQ.0.) THEN |
IF(COSTHE.EQ.0.) THEN |
| 475 |
PRINT *,'=== WARNING ===> COSTHE=0' |
IF(TRKDEBUG)PRINT *,'=== WARNING ===> COSTHE=0' |
| 476 |
STOP |
IFAIL=1 |
| 477 |
|
RETURN |
| 478 |
ENDIF |
ENDIF |
| 479 |
|
|
| 480 |
DXDAL(I,3)=(ZINI-ZM(I))*DCOS(AL(4))/COSTHE**3 |
DXDAL(I,3)=(ZINI-ZM(I))*DCOS(AL(4))/COSTHE**3 |
| 558 |
|
|
| 559 |
include 'commontracker.f' !tracker general common |
include 'commontracker.f' !tracker general common |
| 560 |
include 'common_mini_2.f' !common for the tracking procedure |
include 'common_mini_2.f' !common for the tracking procedure |
| 561 |
|
|
| 562 |
|
LOGICAL TRKDEBUG |
| 563 |
|
COMMON/TRKD/TRKDEBUG |
| 564 |
c |
c |
| 565 |
DIMENSION AL_P(5) |
DIMENSION AL_P(5) |
| 566 |
* |
* |
| 590 |
CALL GRKUTA(CHARGE,STEP,VECT,VOUT) |
CALL GRKUTA(CHARGE,STEP,VECT,VOUT) |
| 591 |
IF(VOUT(3).GT.VECT(3)) THEN |
IF(VOUT(3).GT.VECT(3)) THEN |
| 592 |
IFAIL=1 |
IFAIL=1 |
| 593 |
PRINT *,'posxy (grkuta): WARNING ===> backward track!!' |
if(TRKDEBUG) |
| 594 |
print*,'charge',charge |
$ PRINT *,'posxy (grkuta): WARNING ===> backward track!!' |
| 595 |
print*,'vect',vect |
if(.TRUE.)print*,'charge',charge |
| 596 |
print*,'vout',vout |
if(.TRUE.)print*,'vect',vect |
| 597 |
print*,'step',step |
if(.TRUE.)print*,'vout',vout |
| 598 |
|
if(.TRUE.)print*,'step',step |
| 599 |
RETURN |
RETURN |
| 600 |
ENDIF |
ENDIF |
| 601 |
Z=VOUT(3) |
Z=VOUT(3) |