| 12 |
************************************************************************ |
************************************************************************ |
| 13 |
|
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| 14 |
|
|
| 15 |
SUBROUTINE MINI_2(ISTEP,IFAIL) |
SUBROUTINE MINI2(ISTEP,IFAIL,IPRINT) |
| 16 |
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|
| 17 |
IMPLICIT DOUBLE PRECISION (A-H,O-Z) |
IMPLICIT DOUBLE PRECISION (A-H,O-Z) |
| 18 |
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|
| 22 |
c logical DEBUG |
c logical DEBUG |
| 23 |
c common/dbg/DEBUG |
c common/dbg/DEBUG |
| 24 |
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|
| 25 |
parameter (inf=1.e8) !just a huge number... |
parameter (dinf=1.d15) !just a huge number... |
| 26 |
c------------------------------------------------------------------------ |
c------------------------------------------------------------------------ |
| 27 |
c variables used in the tracking procedure (mini and its subroutines) |
c variables used in the tracking procedure (mini and its subroutines) |
| 28 |
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 |
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|
| 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 |
| 41 |
* !the tracking procedure |
* !the tracking procedure |
| 42 |
DATA STEPMAX/100./ !maximum number of steps in the trackin gprocess |
DATA STEPMAX/100./ !maximum number of steps in the trackin gprocess |
| 43 |
|
|
| 44 |
c DATA ALMAX/inf,inf,inf,inf,0.25e2/ !limits on alpha vector components |
c DATA ALMAX/dinf,dinf,1.,dinf,dinf/ !limits on alpha vector components |
| 45 |
c DATA ALMIN/-inf,-inf,-inf,-inf,-0.25e2/ !" |
c DATA ALMIN/-dinf,-dinf,-1.,-dinf,-dinf/ !" |
| 46 |
DATA ALMAX/inf,inf,1.,inf,0.25e2/ !limits on alpha vector components |
DATA ALMAX/dinf,dinf,1.,dinf,dinf/ !limits on alpha vector components |
| 47 |
DATA ALMIN/-inf,-inf,-1.,-inf,-0.25e2/ !" |
DATA ALMIN/-dinf,-dinf,-1.,-dinf,-dinf/ !" |
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|
| 48 |
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|
| 49 |
DIMENSION DAL(5) !increment of vector alfa |
DIMENSION DAL(5) !increment of vector alfa |
| 50 |
|
DIMENSION CHI2DD_R(4,4),CHI2D_R(4) !hessiano e gradiente di chi2 |
| 51 |
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|
| 52 |
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c elena-------- |
| 53 |
|
REAL*8 AVRESX,AVRESY |
| 54 |
|
c elena-------- |
| 55 |
|
|
| 56 |
INTEGER IFLAG |
INTEGER IFLAG |
| 57 |
c-------------------------------------------------------- |
c-------------------------------------------------------- |
| 58 |
c IFLAG =1 ---- chi2 derivatives computed by using |
c IFLAG =1 ---- chi2 derivatives computed by using |
| 63 |
c NB: the two metods gives equivalent results BUT |
c NB: the two metods gives equivalent results BUT |
| 64 |
c method 2 is faster!! |
c method 2 is faster!! |
| 65 |
c-------------------------------------------------------- |
c-------------------------------------------------------- |
| 66 |
DATA IFLAG/2/ |
DATA IFLAG/2/ |
| 67 |
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|
| 68 |
|
c LOGICAL TRKDEBUG,TRKVERBOSE |
| 69 |
|
c COMMON/TRKD/TRKDEBUG,TRKVERBOSE |
| 70 |
|
LOGICAL TRKDEBUG,TRKVERBOSE |
| 71 |
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COMMON/TRKD/TRKDEBUG,TRKVERBOSE |
| 72 |
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|
| 73 |
|
IF(IPRINT.EQ.1) THEN |
| 74 |
|
TRKVERBOSE = .TRUE. |
| 75 |
|
TRKDEBUG = .FALSE. |
| 76 |
|
ELSEIF(IPRINT.EQ.2)THEN |
| 77 |
|
TRKVERBOSE = .TRUE. |
| 78 |
|
TRKDEBUG = .TRUE. |
| 79 |
|
ELSE |
| 80 |
|
TRKVERBOSE = .FALSE. |
| 81 |
|
TRKDEBUG = .FALSE. |
| 82 |
|
ENDIF |
| 83 |
|
|
| 84 |
|
* ---------------------------------------------------------- |
| 85 |
|
* evaluate average spatial resolution |
| 86 |
|
* ---------------------------------------------------------- |
| 87 |
|
AVRESX = RESXAV |
| 88 |
|
AVRESY = RESYAV |
| 89 |
|
DO IP=1,6 |
| 90 |
|
IF( XGOOD(IP).EQ.1 )THEN |
| 91 |
|
NX=NX+1 |
| 92 |
|
AVRESX=AVRESX+RESX(IP) |
| 93 |
|
ENDIF |
| 94 |
|
IF(NX.NE.0)AVRESX=AVRESX/NX |
| 95 |
|
IF( YGOOD(IP).EQ.1 )THEN |
| 96 |
|
NY=NY+1 |
| 97 |
|
AVRESY=AVRESY+RESY(IP) |
| 98 |
|
ENDIF |
| 99 |
|
IF(NX.NE.0)AVRESY=AVRESY/NY |
| 100 |
|
ENDDO |
| 101 |
|
|
| 102 |
* ---------------------------------------------------------- |
* ---------------------------------------------------------- |
| 103 |
* define ALTOL(5) ---> tolerances on state vector |
* define ALTOL(5) ---> tolerances on state vector |
| 104 |
* |
* |
| 105 |
* ---------------------------------------------------------- |
* ---------------------------------------------------------- |
| 106 |
FACT=10. !scale factor to define |
* changed in order to evaluate energy-dependent |
| 107 |
!tolerance on alfa |
* tolerances on all 5 parameters |
| 108 |
ALTOL(1)=RESX(1)/FACT !al(1) = x |
FACT=100. !scale factor to define tolerance on alfa |
| 109 |
ALTOL(2)=RESY(1)/FACT !al(2) = y |
c deflection error (see PDG) |
| 110 |
ALTOL(3)=DSQRT(RESX(1)**2 !al(3)=sin(theta) |
DELETA1 = 0.01/0.3/0.4/0.4451**2*SQRT(720./(6.+4.)) |
| 111 |
$ +RESY(1)**2)/44.51/FACT |
DELETA2 = 0.016/0.3/0.4/0.4451*SQRT(0.4451/9.36) |
| 112 |
ALTOL(4)=ALTOL(3) !al(4)=phi |
c$$$ ALTOL(1) = AVRESX/FACT !al(1) = x |
| 113 |
|
c$$$ ALTOL(2) = AVRESY/FACT !al(2) = y |
| 114 |
|
c$$$ ALTOL(3) = DSQRT(AVRESX**2 !al(3)=sin(theta) |
| 115 |
|
c$$$ $ +AVRESY**2)/44.51/FACT |
| 116 |
|
c$$$ ALTOL(4) = ALTOL(3) !al(4)=phi |
| 117 |
c deflection error (see PDG) |
c deflection error (see PDG) |
| 118 |
DELETA1=0.01*RESX(1)/0.3/0.4/0.4451**2*SQRT(720./(6.+4.)) |
c$$$ DELETA1 = 0.01*AVRESX/0.3/0.4/0.4451**2*SQRT(720./(6.+4.)) |
| 119 |
DELETA2=0.016/0.3/0.4/0.4451*SQRT(0.4451/9.36) |
c$$$ DELETA2 = 0.016/0.3/0.4/0.4451*SQRT(0.4451/9.36) |
| 120 |
* ---------------------------------------------------------- |
* ---------------------------------------------------------- |
| 121 |
* |
* |
| 122 |
ISTEP=0 !num. steps to minimize chi^2 |
ISTEP=0 !num. steps to minimize chi^2 |
| 123 |
JFAIL=0 !error flag |
JFAIL=0 !error flag |
| 124 |
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
|
| 125 |
IF(JFAIL.NE.0) THEN |
if(TRKDEBUG) print*,'guess: ',al |
| 126 |
IFAIL=1 |
if(TRKDEBUG) print*,'mini2: step ',istep,chi2,1./AL(5) |
| 127 |
if(DEBUG) |
|
|
$ PRINT *,'mini_2 ===> error on CHISQ computation !!!' |
|
|
RETURN |
|
|
ENDIF |
|
| 128 |
* |
* |
| 129 |
* ----------------------- |
* ----------------------- |
| 130 |
* START MINIMIZATION LOOP |
* START MINIMIZATION LOOP |
| 131 |
* ----------------------- |
* ----------------------- |
| 132 |
10 ISTEP=ISTEP+1 !<<<<<<<<<<<<<< NEW STEP !! |
10 ISTEP=ISTEP+1 !<<<<<<<<<<<<<< NEW STEP !! |
|
CHI2_P=CHI2 |
|
|
|
|
|
c print*,'@@@@@ ',istep,' - ',al |
|
| 133 |
|
|
| 134 |
cost=1e-7 |
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
| 135 |
|
IF(JFAIL.NE.0) THEN |
| 136 |
|
IFAIL=1 |
| 137 |
|
CHI2=-9999. |
| 138 |
|
if(TRKVERBOSE) |
| 139 |
|
$ PRINT *,'*** ERROR in mini *** wrong CHISQ' |
| 140 |
|
RETURN |
| 141 |
|
ENDIF |
| 142 |
|
|
| 143 |
|
COST=1e-5 |
| 144 |
DO I=1,5 |
DO I=1,5 |
| 145 |
DO J=1,5 |
DO J=1,5 |
| 146 |
CHI2DD(I,J)=CHI2DD(I,J)*COST |
CHI2DD(I,J)=CHI2DD(I,J)*COST |
| 147 |
ENDDO |
ENDDO |
| 148 |
CHI2D(I)=CHI2D(I)*COST |
CHI2D(I)=CHI2D(I)*COST |
| 149 |
ENDDO |
ENDDO |
| 150 |
|
|
| 151 |
|
IF(PFIXED.EQ.0.) THEN |
| 152 |
|
|
| 153 |
*------------------------------------------------------------* |
*------------------------------------------------------------* |
| 154 |
* track fitting with FREE deflection |
* track fitting with FREE deflection |
| 155 |
*------------------------------------------------------------* |
*------------------------------------------------------------* |
| 156 |
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
| 157 |
IF(IFA.NE.0) THEN !not positive-defined |
IF(IFA.NE.0) THEN !not positive-defined |
| 158 |
if(DEBUG)then |
if(TRKVERBOSE)then |
| 159 |
PRINT *, |
PRINT *, |
| 160 |
$ 'MINI_HOUGH ==> '// |
$ '*** ERROR in mini ***'// |
| 161 |
$ '** ERROR ** on matrix inversion (not positive-defined)!!!' |
$ 'on matrix inversion (not pos-def)' |
| 162 |
$ ,DET |
$ ,DET |
| 163 |
endif |
endif |
| 164 |
IFAIL=1 |
IF(CHI2.EQ.0) CHI2=-9999. |
| 165 |
RETURN |
IF(CHI2.GT.0) CHI2=-CHI2 |
| 166 |
ENDIF |
IFAIL=1 |
| 167 |
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
RETURN |
| 168 |
|
ENDIF |
| 169 |
|
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
| 170 |
* ******************************************* |
* ******************************************* |
| 171 |
* find new value of AL-pha !* |
* find new value of AL-pha |
| 172 |
* !* |
* ******************************************* |
| 173 |
DO I=1,5 !* |
DO I=1,5 |
| 174 |
DAL(I)=0. !* |
DAL(I)=0. |
| 175 |
DO J=1,5 !* |
DO J=1,5 |
| 176 |
DAL(I)=DAL(I)-CHI2DD(I,J)*CHI2D(J) !* |
DAL(I)=DAL(I)-CHI2DD(I,J)*CHI2D(J) |
| 177 |
COV(I,J)=CHI2DD(I,J) !* |
COV(I,J)=2.*COST*CHI2DD(I,J) |
| 178 |
ENDDO !* |
ENDDO |
| 179 |
ENDDO !* |
ENDDO |
| 180 |
DO I=1,5 !* |
DO I=1,5 |
| 181 |
AL(I)=AL(I)+DAL(I) !* |
AL(I)=AL(I)+DAL(I) |
| 182 |
ENDDO !* |
ENDDO |
| 183 |
|
*------------------------------------------------------------* |
| 184 |
|
* track fitting with FIXED deflection |
| 185 |
|
*------------------------------------------------------------* |
| 186 |
|
ELSE |
| 187 |
|
AL(5)=1./PFIXED |
| 188 |
|
DO I=1,4 |
| 189 |
|
CHI2D_R(I)=CHI2D(I) |
| 190 |
|
DO J=1,4 |
| 191 |
|
CHI2DD_R(I,J)=CHI2DD(I,J) |
| 192 |
|
ENDDO |
| 193 |
|
ENDDO |
| 194 |
|
CALL DSFACT(4,CHI2DD_R,4,IFA,DET,JFA) |
| 195 |
|
IF(IFA.NE.0) THEN |
| 196 |
|
if(TRKVERBOSE)then |
| 197 |
|
PRINT *, |
| 198 |
|
$ '*** ERROR in mini ***'// |
| 199 |
|
$ 'on matrix inversion (not pos-def)' |
| 200 |
|
$ ,DET |
| 201 |
|
endif |
| 202 |
|
IF(CHI2.EQ.0) CHI2=-9999. |
| 203 |
|
IF(CHI2.GT.0) CHI2=-CHI2 |
| 204 |
|
IFAIL=1 |
| 205 |
|
RETURN |
| 206 |
|
ENDIF |
| 207 |
|
CALL DSFINV(4,CHI2DD_R,4) |
| 208 |
* ******************************************* |
* ******************************************* |
| 209 |
|
* find new value of AL-pha |
| 210 |
|
* ******************************************* |
| 211 |
|
DO I=1,4 |
| 212 |
|
DAL(I)=0. |
| 213 |
|
DO J=1,4 |
| 214 |
|
DAL(I)=DAL(I)-CHI2DD_R(I,J)*CHI2D_R(J) |
| 215 |
|
COV(I,J)=2.*COST*CHI2DD_R(I,J) |
| 216 |
|
ENDDO |
| 217 |
|
ENDDO |
| 218 |
|
DAL(5)=0. |
| 219 |
|
DO I=1,4 |
| 220 |
|
AL(I)=AL(I)+DAL(I) |
| 221 |
|
ENDDO |
| 222 |
|
ENDIF |
| 223 |
|
|
| 224 |
|
if(TRKDEBUG) print*,'mini2: step ',istep,chi2,1./AL(5) |
| 225 |
|
|
| 226 |
|
*------------------------------------------------------------* |
| 227 |
|
* ---------------------------------------------------- * |
| 228 |
|
*------------------------------------------------------------* |
| 229 |
* check parameter bounds: |
* check parameter bounds: |
| 230 |
|
*------------------------------------------------------------* |
| 231 |
DO I=1,5 |
DO I=1,5 |
| 232 |
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 |
| 233 |
if(DEBUG)then |
if(TRKVERBOSE)then |
| 234 |
PRINT*,' **WARNING** ' |
PRINT*,' *** WARNING in mini *** ' |
| 235 |
PRINT*,'MINI_2 ==> AL(',I,') out of range' |
PRINT*,'MINI_2 ==> AL(',I,') out of range' |
| 236 |
PRINT*,' value: ',AL(I), |
PRINT*,' value: ',AL(I), |
| 237 |
$ ' limits: ',ALMIN(I),ALMAX(I) |
$ ' limits: ',ALMIN(I),ALMAX(I) |
| 238 |
print*,'istep ',istep |
print*,'istep ',istep |
| 239 |
endif |
endif |
| 240 |
|
IF(CHI2.EQ.0) CHI2=-9999. |
| 241 |
|
IF(CHI2.GT.0) CHI2=-CHI2 |
| 242 |
IFAIL=1 |
IFAIL=1 |
| 243 |
RETURN |
RETURN |
| 244 |
ENDIF |
ENDIF |
| 245 |
ENDDO |
ENDDO |
| 246 |
* 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 |
|
| 247 |
* check number of steps: |
* check number of steps: |
| 248 |
IF(ISTEP.gt.ISTEPMAX) then |
*------------------------------------------------------------* |
| 249 |
IFAIL=1 |
IF(ISTEP.ge.ISTEPMAX) then |
| 250 |
if(DEBUG) |
c$$$ IFAIL=1 |
| 251 |
$ PRINT *,'mini_2: WARNING ===> ISTEP.GT.ISTEPMAX=',ISTEPMAX |
c$$$ if(TRKVERBOSE) |
| 252 |
|
c$$$ $ PRINT *,'*** WARNING in mini *** ISTEP.GT.ISTEPMAX=', |
| 253 |
|
c$$$ $ ISTEPMAX |
| 254 |
goto 11 |
goto 11 |
| 255 |
endif |
endif |
| 256 |
|
*------------------------------------------------------------* |
| 257 |
* --------------------------------------------- |
* --------------------------------------------- |
| 258 |
* evaluate deflection tolerance on the basis of |
* evaluate deflection tolerance on the basis of |
| 259 |
* estimated deflection |
* estimated deflection |
| 260 |
* --------------------------------------------- |
* --------------------------------------------- |
| 261 |
ALTOL(5)=DSQRT(DELETA1**2+DELETA2**2*AL(5)**2)/FACT |
*------------------------------------------------------------* |
| 262 |
|
c$$$ ALTOL(5) = DSQRT(DELETA1**2+DELETA2**2*AL(5)**2)/FACT |
| 263 |
|
ALTOL(5) = DSQRT((DELETA1*AVRESX)**2+DELETA2**2*AL(5)**2)/FACT |
| 264 |
|
ALTOL(1) = ALTOL(5)/DELETA1 |
| 265 |
|
ALTOL(2) = ALTOL(1) |
| 266 |
|
ALTOL(3) = DSQRT(ALTOL(1)**2+ALTOL(2)**2)/44.51 |
| 267 |
|
ALTOL(4) = ALTOL(3) |
| 268 |
|
|
| 269 |
*---- check tolerances: |
*---- check tolerances: |
| 270 |
|
c$$$ DO I=1,5 |
| 271 |
|
c$$$ if(TRKVERBOSE)print*,i,' -- ',DAL(I),ALTOL(I) !>>>> new step! |
| 272 |
|
c$$$ ENDDO |
| 273 |
|
c$$$ print*,'chi2 -- ',DCHI2 |
| 274 |
|
|
| 275 |
|
IF(ISTEP.LT.3) GOTO 10 ! ***PP*** |
| 276 |
DO I=1,5 |
DO I=1,5 |
| 277 |
IF(ABS(DAL(I)).GT.ALTOL(I))GOTO 10 !>>>> new step! |
IF(ABS(DAL(I)).GT.ALTOL(I))GOTO 10 !>>>> new step! |
| 278 |
ENDDO |
ENDDO |
| 279 |
|
|
| 280 |
|
* new estimate of chi^2: |
| 281 |
|
JFAIL=0 !error flag |
| 282 |
|
CALL CHISQ(IFLAG,JFAIL) !chi^2 and its derivatives |
| 283 |
|
IF(JFAIL.NE.0) THEN |
| 284 |
|
IFAIL=1 |
| 285 |
|
if(TRKVERBOSE)THEN |
| 286 |
|
CHI2=-9999. |
| 287 |
|
if(TRKVERBOSE) |
| 288 |
|
$ PRINT *,'*** ERROR in mini *** wrong CHISQ' |
| 289 |
|
ENDIF |
| 290 |
|
RETURN |
| 291 |
|
ENDIF |
| 292 |
|
COST=1e-7 |
| 293 |
|
DO I=1,5 |
| 294 |
|
DO J=1,5 |
| 295 |
|
CHI2DD(I,J)=CHI2DD(I,J)*COST |
| 296 |
|
ENDDO |
| 297 |
|
CHI2D(I)=CHI2D(I)*COST |
| 298 |
|
ENDDO |
| 299 |
|
IF(PFIXED.EQ.0.) THEN |
| 300 |
|
CALL DSFACT(5,CHI2DD,5,IFA,DET,JFA) !CHI2DD matrix determinant |
| 301 |
|
IF(IFA.NE.0) THEN !not positive-defined |
| 302 |
|
if(TRKVERBOSE)then |
| 303 |
|
PRINT *, |
| 304 |
|
$ '*** ERROR in mini ***'// |
| 305 |
|
$ 'on matrix inversion (not pos-def)' |
| 306 |
|
$ ,DET |
| 307 |
|
endif |
| 308 |
|
IF(CHI2.EQ.0) CHI2=-9999. |
| 309 |
|
IF(CHI2.GT.0) CHI2=-CHI2 |
| 310 |
|
IFAIL=1 |
| 311 |
|
RETURN |
| 312 |
|
ENDIF |
| 313 |
|
CALL DSFINV(5,CHI2DD,5) !CHI2DD matrix inversion |
| 314 |
|
DO I=1,5 |
| 315 |
|
DAL(I)=0. |
| 316 |
|
DO J=1,5 |
| 317 |
|
COV(I,J)=2.*COST*CHI2DD(I,J) |
| 318 |
|
ENDDO |
| 319 |
|
ENDDO |
| 320 |
|
ELSE |
| 321 |
|
DO I=1,4 |
| 322 |
|
CHI2D_R(I)=CHI2D(I) |
| 323 |
|
DO J=1,4 |
| 324 |
|
CHI2DD_R(I,J)=CHI2DD(I,J) |
| 325 |
|
ENDDO |
| 326 |
|
ENDDO |
| 327 |
|
CALL DSFACT(4,CHI2DD_R,4,IFA,DET,JFA) |
| 328 |
|
IF(IFA.NE.0) THEN |
| 329 |
|
if(TRKVERBOSE)then |
| 330 |
|
PRINT *, |
| 331 |
|
$ '*** ERROR in mini ***'// |
| 332 |
|
$ 'on matrix inversion (not pos-def)' |
| 333 |
|
$ ,DET |
| 334 |
|
endif |
| 335 |
|
IF(CHI2.EQ.0) CHI2=-9999. |
| 336 |
|
IF(CHI2.GT.0) CHI2=-CHI2 |
| 337 |
|
IFAIL=1 |
| 338 |
|
RETURN |
| 339 |
|
ENDIF |
| 340 |
|
CALL DSFINV(4,CHI2DD_R,4) |
| 341 |
|
DO I=1,4 |
| 342 |
|
DAL(I)=0. |
| 343 |
|
DO J=1,4 |
| 344 |
|
COV(I,J)=2.*COST*CHI2DD_R(I,J) |
| 345 |
|
ENDDO |
| 346 |
|
ENDDO |
| 347 |
|
ENDIF |
| 348 |
|
***************************** |
| 349 |
|
|
| 350 |
* ------------------------------------ |
* ------------------------------------ |
| 351 |
* Number of Degree Of Freedom |
* Number of Degree Of Freedom |
| 355 |
$ +int(xgood(ip)) |
$ +int(xgood(ip)) |
| 356 |
$ +int(ygood(ip)) |
$ +int(ygood(ip)) |
| 357 |
enddo |
enddo |
| 358 |
ndof=ndof-5 |
if(pfixed.eq.0.) ndof=ndof-5 ! ***PP*** |
| 359 |
|
if(pfixed.ne.0.) ndof=ndof-4 ! ***PP*** |
| 360 |
|
if(ndof.le.0.) then |
| 361 |
|
ndof = 1 |
| 362 |
|
if(TRKVERBOSE) |
| 363 |
|
$ print*,'*** WARNING *** in mini n.dof = 0 (set to 1)' |
| 364 |
|
endif |
| 365 |
|
|
| 366 |
|
if(TRKDEBUG) print*,'mini2: -ok- ',istep,chi2,1./AL(5) |
| 367 |
|
|
| 368 |
* ------------------------------------ |
* ------------------------------------ |
| 369 |
* Reduced chi^2 |
* Reduced chi^2 |
| 370 |
CHI2 = CHI2/dble(ndof) |
CHI2 = CHI2/dble(ndof) |
| 371 |
|
|
| 372 |
|
c print*,'mini2: chi2 ',chi2 |
|
11 CONTINUE |
|
| 373 |
|
|
| 374 |
101 CONTINUE |
11 CONTINUE |
| 375 |
|
|
| 376 |
c print*,'END MINI' |
NSTEP=ISTEP ! ***PP*** |
| 377 |
|
|
| 378 |
RETURN |
RETURN |
| 379 |
END |
END |
| 400 |
DIMENSION XV2(nplanes),YV2(nplanes),XV1(nplanes),YV1(nplanes) |
DIMENSION XV2(nplanes),YV2(nplanes),XV1(nplanes),YV1(nplanes) |
| 401 |
$ ,XV0(nplanes),YV0(nplanes) |
$ ,XV0(nplanes),YV0(nplanes) |
| 402 |
DIMENSION AL_P(5) |
DIMENSION AL_P(5) |
| 403 |
|
|
| 404 |
|
c LOGICAL TRKVERBOSE |
| 405 |
|
c COMMON/TRKD/TRKVERBOSE |
| 406 |
|
LOGICAL TRKDEBUG,TRKVERBOSE |
| 407 |
|
COMMON/TRKD/TRKDEBUG,TRKVERBOSE |
| 408 |
* |
* |
| 409 |
* chi^2 computation |
* chi^2 computation |
| 410 |
* |
* |
| 414 |
JFAIL=0 !error flag |
JFAIL=0 !error flag |
| 415 |
CALL POSXYZ(AL_P,JFAIL) !track intersection with tracking planes |
CALL POSXYZ(AL_P,JFAIL) !track intersection with tracking planes |
| 416 |
IF(JFAIL.NE.0) THEN |
IF(JFAIL.NE.0) THEN |
| 417 |
PRINT *,'CHISQ ==> error from tracking routine POSXYZ !!' |
IF(TRKVERBOSE) |
| 418 |
|
$ PRINT *,'CHISQ ==> error from trk routine POSXYZ !!' |
| 419 |
IFAIL=1 |
IFAIL=1 |
| 420 |
RETURN |
RETURN |
| 421 |
ENDIF |
ENDIF |
| 467 |
+ *( XGOOD(I)*(1-YGOOD(I)) ) |
+ *( XGOOD(I)*(1-YGOOD(I)) ) |
| 468 |
+ +((XV(I)-XM(I))**2+(YV(I)-YM(I))**2)/RESY(i)**2 |
+ +((XV(I)-XM(I))**2+(YV(I)-YM(I))**2)/RESY(i)**2 |
| 469 |
+ *( (1-XGOOD(I))*YGOOD(I) ) |
+ *( (1-XGOOD(I))*YGOOD(I) ) |
| 470 |
|
c$$$ print*,(XV(I)-XM(I))**2/RESX(i)**2 *( XGOOD(I)*YGOOD(I) ) |
| 471 |
|
c$$$ print*,(YV(I)-YM(I))**2/RESY(i)**2 *( YGOOD(I)*XGOOD(I) ) |
| 472 |
|
c$$$ print*,((XV(I)-XM(I))**2+(YV(I)-YM(I))**2)/RESX(i)**2 |
| 473 |
|
c$$$ + *( XGOOD(I)*(1-YGOOD(I)) ) |
| 474 |
|
c$$$ print*,((XV(I)-XM(I))**2+(YV(I)-YM(I))**2)/RESY(i)**2 |
| 475 |
|
c$$$ + *( (1-XGOOD(I))*YGOOD(I) ) |
| 476 |
|
c$$$ print*,XV(I),XM(I),XGOOD(I) |
| 477 |
|
c$$$ print*,YV(I),YM(I),YGOOD(I) |
| 478 |
ENDDO |
ENDDO |
| 479 |
|
c$$$ print*,'CHISQ ',chi2 |
| 480 |
* ------------------------------------------------ |
* ------------------------------------------------ |
| 481 |
* |
* |
| 482 |
* calculation of derivatives (dX/dAL_fa and dY/dAL_fa) |
* calculation of derivatives (dX/dAL_fa and dY/dAL_fa) |
| 495 |
JFAIL=0 |
JFAIL=0 |
| 496 |
CALL POSXYZ(AL_P,JFAIL) |
CALL POSXYZ(AL_P,JFAIL) |
| 497 |
IF(JFAIL.NE.0) THEN |
IF(JFAIL.NE.0) THEN |
| 498 |
PRINT *,'CHISQ ==> error from tracking routine POSXYZ !!' |
IF(TRKVERBOSE) |
| 499 |
|
*23456789012345678901234567890123456789012345678901234567890123456789012 |
| 500 |
|
$ PRINT *,'CHISQ ==> error from trk routine POSXYZ' |
| 501 |
IFAIL=1 |
IFAIL=1 |
| 502 |
RETURN |
RETURN |
| 503 |
ENDIF |
ENDIF |
| 509 |
JFAIL=0 |
JFAIL=0 |
| 510 |
CALL POSXYZ(AL_P,JFAIL) |
CALL POSXYZ(AL_P,JFAIL) |
| 511 |
IF(JFAIL.NE.0) THEN |
IF(JFAIL.NE.0) THEN |
| 512 |
PRINT *,'CHISQ ==> error from tracking routine POSXYZ !!' |
IF(TRKVERBOSE) |
| 513 |
|
$ PRINT *,'CHISQ ==> error from trk routine POSXYZ' |
| 514 |
IFAIL=1 |
IFAIL=1 |
| 515 |
RETURN |
RETURN |
| 516 |
ENDIF |
ENDIF |
| 541 |
|
|
| 542 |
COSTHE=DSQRT(1.-AL(3)**2) |
COSTHE=DSQRT(1.-AL(3)**2) |
| 543 |
IF(COSTHE.EQ.0.) THEN |
IF(COSTHE.EQ.0.) THEN |
| 544 |
PRINT *,'=== WARNING ===> COSTHE=0' |
IF(TRKVERBOSE)PRINT *,'=== WARNING ===> COSTHE=0' |
| 545 |
STOP |
IFAIL=1 |
| 546 |
|
RETURN |
| 547 |
ENDIF |
ENDIF |
| 548 |
|
|
| 549 |
DXDAL(I,3)=(ZINI-ZM(I))*DCOS(AL(4))/COSTHE**3 |
DXDAL(I,3)=(ZINI-ZM(I))*DCOS(AL(4))/COSTHE**3 |
| 627 |
|
|
| 628 |
include 'commontracker.f' !tracker general common |
include 'commontracker.f' !tracker general common |
| 629 |
include 'common_mini_2.f' !common for the tracking procedure |
include 'common_mini_2.f' !common for the tracking procedure |
| 630 |
|
|
| 631 |
|
c LOGICAL TRKVERBOSE |
| 632 |
|
c COMMON/TRKD/TRKVERBOSE |
| 633 |
|
LOGICAL TRKDEBUG,TRKVERBOSE |
| 634 |
|
COMMON/TRKD/TRKDEBUG,TRKVERBOSE |
| 635 |
c |
c |
| 636 |
DIMENSION AL_P(5) |
DIMENSION AL_P(5) |
| 637 |
* |
* |
| 651 |
VOUT(6)=-1.*DSQRT(1.-AL_P(3)**2) |
VOUT(6)=-1.*DSQRT(1.-AL_P(3)**2) |
| 652 |
IF(AL_P(5).NE.0.) VOUT(7)=DABS(1./AL_P(5)) |
IF(AL_P(5).NE.0.) VOUT(7)=DABS(1./AL_P(5)) |
| 653 |
IF(AL_P(5).EQ.0.) VOUT(7)=1.E8 |
IF(AL_P(5).EQ.0.) VOUT(7)=1.E8 |
| 654 |
|
|
| 655 |
|
c$$$ print*,'POSXY (prima) ',vout |
| 656 |
|
|
| 657 |
DO I=1,nplanes |
DO I=1,nplanes |
| 658 |
step=vout(3)-zv(i) |
step=vout(3)-zv(i) |
| 659 |
10 DO J=1,7 |
10 DO J=1,7 |
| 664 |
CALL GRKUTA(CHARGE,STEP,VECT,VOUT) |
CALL GRKUTA(CHARGE,STEP,VECT,VOUT) |
| 665 |
IF(VOUT(3).GT.VECT(3)) THEN |
IF(VOUT(3).GT.VECT(3)) THEN |
| 666 |
IFAIL=1 |
IFAIL=1 |
| 667 |
if(WARNING) |
if(TRKVERBOSE) |
| 668 |
$ PRINT *,'posxy (grkuta): WARNING ===> backward track!!' |
$ PRINT *,'posxy (grkuta): WARNING ===> backward track!!' |
| 669 |
if(WARNING)print*,'charge',charge |
c$$$ if(.TRUE.)print*,'charge',charge |
| 670 |
if(WARNING)print*,'vect',vect |
c$$$ if(.TRUE.)print*,'vect',vect |
| 671 |
if(WARNING)print*,'vout',vout |
c$$$ if(.TRUE.)print*,'vout',vout |
| 672 |
if(WARNING)print*,'step',step |
c$$$ if(.TRUE.)print*,'step',step |
| 673 |
|
if(TRKVERBOSE)print*,'charge',charge |
| 674 |
|
if(TRKVERBOSE)print*,'vect',vect |
| 675 |
|
if(TRKVERBOSE)print*,'vout',vout |
| 676 |
|
if(TRKVERBOSE)print*,'step',step |
| 677 |
RETURN |
RETURN |
| 678 |
ENDIF |
ENDIF |
| 679 |
Z=VOUT(3) |
Z=VOUT(3) |
| 687 |
GOTO 11 |
GOTO 11 |
| 688 |
ENDIF |
ENDIF |
| 689 |
|
|
| 690 |
|
|
| 691 |
* ----------------------------------------------- |
* ----------------------------------------------- |
| 692 |
* evaluate track coordinates |
* evaluate track coordinates |
| 693 |
100 XV(I)=VOUT(1) |
100 XV(I)=VOUT(1) |
| 699 |
|
|
| 700 |
ENDDO |
ENDDO |
| 701 |
|
|
| 702 |
|
c$$$ print*,'POSXY (dopo) ',vout |
| 703 |
|
|
| 704 |
|
|
| 705 |
RETURN |
RETURN |
| 706 |
END |
END |
| 707 |
|
|
| 746 |
|
|
| 747 |
return |
return |
| 748 |
end |
end |
| 749 |
|
|
| 750 |
|
|
| 751 |
|
*************************************************** |
| 752 |
|
* * |
| 753 |
|
* * |
| 754 |
|
* * |
| 755 |
|
* * |
| 756 |
|
* * |
| 757 |
|
* * |
| 758 |
|
************************************************** |
| 759 |
|
|
| 760 |
|
subroutine guess() |
| 761 |
|
|
| 762 |
|
c IMPLICIT DOUBLE PRECISION (A-H,O-Z) |
| 763 |
|
|
| 764 |
|
include 'commontracker.f' !tracker general common |
| 765 |
|
include 'common_mini_2.f' !common for the tracking procedure |
| 766 |
|
|
| 767 |
|
REAL*4 XP(NPLANES),ZP(NPLANES),AP(NPLANES),RP(NPLANES) |
| 768 |
|
REAL*4 CHI,XC,ZC,RADIUS |
| 769 |
|
* ---------------------------------------- |
| 770 |
|
* Y view |
| 771 |
|
* ---------------------------------------- |
| 772 |
|
* ---------------------------------------- |
| 773 |
|
* initial guess with a straigth line |
| 774 |
|
* ---------------------------------------- |
| 775 |
|
SZZ=0. |
| 776 |
|
SZY=0. |
| 777 |
|
SSY=0. |
| 778 |
|
SZ=0. |
| 779 |
|
S1=0. |
| 780 |
|
DO I=1,nplanes |
| 781 |
|
IF(YGOOD(I).EQ.1)THEN |
| 782 |
|
YY = YM(I) |
| 783 |
|
IF(XGOOD(I).EQ.0)THEN |
| 784 |
|
YY = (YM_A(I) + YM_B(I))/2 |
| 785 |
|
ENDIF |
| 786 |
|
SZZ=SZZ+ZM(I)*ZM(I) |
| 787 |
|
SZY=SZY+ZM(I)*YY |
| 788 |
|
SSY=SSY+YY |
| 789 |
|
SZ=SZ+ZM(I) |
| 790 |
|
S1=S1+1. |
| 791 |
|
ENDIF |
| 792 |
|
ENDDO |
| 793 |
|
DET=SZZ*S1-SZ*SZ |
| 794 |
|
AY=(SZY*S1-SZ*SSY)/DET |
| 795 |
|
BY=(SZZ*SSY-SZY*SZ)/DET |
| 796 |
|
Y0 = AY*ZINI+BY |
| 797 |
|
* ---------------------------------------- |
| 798 |
|
* X view |
| 799 |
|
* ---------------------------------------- |
| 800 |
|
* ---------------------------------------- |
| 801 |
|
* 1) initial guess with a circle |
| 802 |
|
* ---------------------------------------- |
| 803 |
|
NP=0 |
| 804 |
|
DO I=1,nplanes |
| 805 |
|
IF(XGOOD(I).EQ.1)THEN |
| 806 |
|
XX = XM(I) |
| 807 |
|
IF(YGOOD(I).EQ.0)THEN |
| 808 |
|
XX = (XM_A(I) + XM_B(I))/2 |
| 809 |
|
ENDIF |
| 810 |
|
NP=NP+1 |
| 811 |
|
XP(NP)=XX |
| 812 |
|
ZP(NP)=ZM(I) |
| 813 |
|
ENDIF |
| 814 |
|
ENDDO |
| 815 |
|
IFLAG=0 !no debug mode |
| 816 |
|
CALL TRICIRCLE(NP,XP,ZP,AP,RP,CHI,XC,ZC,RADIUS,IFLAG) |
| 817 |
|
c print*,' circle: ',XC,ZC,RADIUS,' --- ',CHI,IFLAG |
| 818 |
|
IF(IFLAG.NE.0)GOTO 10 !straigth fit |
| 819 |
|
if(CHI.gt.100)GOTO 10 !straigth fit |
| 820 |
|
ARG = RADIUS**2-(ZINI-ZC)**2 |
| 821 |
|
IF(ARG.LT.0)GOTO 10 !straigth fit |
| 822 |
|
DC = SQRT(ARG) |
| 823 |
|
IF(XC.GT.0)DC=-DC |
| 824 |
|
X0=XC+DC |
| 825 |
|
AX = -(ZINI-ZC)/DC |
| 826 |
|
DEF=100./(RADIUS*0.3*0.43) |
| 827 |
|
IF(XC.GT.0)DEF=-DEF |
| 828 |
|
|
| 829 |
|
IF(ABS(X0).GT.30)THEN |
| 830 |
|
c$$$ PRINT*,'STRANGE GUESS: XC,ZC,R ',XC,ZC,RADIUS |
| 831 |
|
c$$$ $ ,' - CHI ',CHI,' - X0,AX,DEF ',X0,AX,DEF |
| 832 |
|
GOTO 10 !straigth fit |
| 833 |
|
ENDIF |
| 834 |
|
GOTO 20 !guess is ok |
| 835 |
|
|
| 836 |
|
* ---------------------------------------- |
| 837 |
|
* 2) initial guess with a straigth line |
| 838 |
|
* - if circle does not intersect reference plane |
| 839 |
|
* - if bad chi**2 |
| 840 |
|
* ---------------------------------------- |
| 841 |
|
10 CONTINUE |
| 842 |
|
SZZ=0. |
| 843 |
|
SZX=0. |
| 844 |
|
SSX=0. |
| 845 |
|
SZ=0. |
| 846 |
|
S1=0. |
| 847 |
|
DO I=1,nplanes |
| 848 |
|
IF(XGOOD(I).EQ.1)THEN |
| 849 |
|
XX = XM(I) |
| 850 |
|
IF(YGOOD(I).EQ.0)THEN |
| 851 |
|
XX = (XM_A(I) + XM_B(I))/2 |
| 852 |
|
ENDIF |
| 853 |
|
SZZ=SZZ+ZM(I)*ZM(I) |
| 854 |
|
SZX=SZX+ZM(I)*XX |
| 855 |
|
SSX=SSX+XX |
| 856 |
|
SZ=SZ+ZM(I) |
| 857 |
|
S1=S1+1. |
| 858 |
|
ENDIF |
| 859 |
|
ENDDO |
| 860 |
|
DET=SZZ*S1-SZ*SZ |
| 861 |
|
AX=(SZX*S1-SZ*SSX)/DET |
| 862 |
|
BX=(SZZ*SSX-SZX*SZ)/DET |
| 863 |
|
DEF = 0 |
| 864 |
|
X0 = AX*ZINI+BX |
| 865 |
|
|
| 866 |
|
20 CONTINUE |
| 867 |
|
* ---------------------------------------- |
| 868 |
|
* guess |
| 869 |
|
* ---------------------------------------- |
| 870 |
|
|
| 871 |
|
AL(1) = X0 |
| 872 |
|
AL(2) = Y0 |
| 873 |
|
tath = sqrt(AY**2+AX**2) |
| 874 |
|
AL(3) = tath/sqrt(1+tath**2) |
| 875 |
|
c$$$ IF(AX.NE.0)THEN |
| 876 |
|
c$$$ AL(4)= atan(AY/AX) |
| 877 |
|
c$$$ ELSE |
| 878 |
|
c$$$ AL(4) = acos(-1.)/2 |
| 879 |
|
c$$$ IF(AY.LT.0)AL(4) = AL(4)+acos(-1.) |
| 880 |
|
c$$$ ENDIF |
| 881 |
|
c$$$ IF(AX.LT.0)AL(4)= acos(-1.)+ AL(4) |
| 882 |
|
c$$$ AL(4) = -acos(-1.) + AL(4) !from incidence direction to tracking ref.sys. |
| 883 |
|
|
| 884 |
|
c$$$ AL(4) = 0. |
| 885 |
|
c$$$ IF(AX.NE.0.AND.AY.NE.0)THEN |
| 886 |
|
c$$$ AL(4)= atan(AY/AX) |
| 887 |
|
c$$$ ELSEIF(AY.EQ.0)THEN |
| 888 |
|
c$$$ AL(4) = 0. |
| 889 |
|
c$$$ IF(AX.LT.0)AL(4) = AL(4)+acos(-1.) |
| 890 |
|
c$$$ ELSEIF(AX.EQ.0)THEN |
| 891 |
|
c$$$ AL(4) = acos(-1.)/2 |
| 892 |
|
c$$$ IF(AY.LT.0)AL(4) = AL(4)+acos(-1.) |
| 893 |
|
c$$$ ENDIF |
| 894 |
|
c$$$ IF(AX.LT.0)AL(4)= acos(-1.)+ AL(4) |
| 895 |
|
c$$$ AL(4) = -acos(-1.) + AL(4) !from incidence direction to tracking ref.sys. |
| 896 |
|
|
| 897 |
|
c$$$ AL(4)=0. |
| 898 |
|
c$$$ IF( AX.NE.0.OR.AY.NE.0. ) THEN |
| 899 |
|
c$$$ AL(4) = ASIN(AY/SQRT(AX**2+AY**2)) |
| 900 |
|
c$$$ IF(AX.LT.0.) AL(4) = ACOS(-1.0)-AL(4) |
| 901 |
|
c$$$ ENDIF |
| 902 |
|
|
| 903 |
|
AL(4)=0. |
| 904 |
|
IF( AX.NE.0.OR.AY.NE.0. ) THEN |
| 905 |
|
AL(4) = ASIN(AY/SQRT(AX**2+AY**2)) |
| 906 |
|
IF(AX.LT.0.AND.AY.GE.0) AL(4) = ACOS(-1.0)-AL(4) |
| 907 |
|
IF(AX.LT.0.AND.AY.LT.0) AL(4) = -ACOS(-1.0)-AL(4) |
| 908 |
|
ENDIF |
| 909 |
|
IF(AY.GT.0.) AL(4) = AL(4)-ACOS(-1.0) |
| 910 |
|
IF(AY.LE.0.) AL(4) = AL(4)+ACOS(-1.0) |
| 911 |
|
|
| 912 |
|
AL(5) = DEF |
| 913 |
|
|
| 914 |
|
c print*,' guess: ',(al(i),i=1,5) |
| 915 |
|
|
| 916 |
|
end |
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