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ray.f
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C****
C**** RAY TRACE - MIT VERSION 1987 (13/01/87)
C**** DR. STANLEY KOWALSKI
C**** MASS INST OF TECH
C**** BLDG 26-427
C**** CAMBRIDGE MASS 02139
C**** PH 617+253-4288
C****
C****
C**** Recent modifications:
C**** Rob Pywell
C**** University of Saskatchewan
C**** [email protected]
C****
C**** RP For g77 compile with
C**** FFLAGS= -fugly-assumed -fugly-comma -pedantic -fbounds-check -fno-automatic
C**** REVISIONS:
C****
C**** 20-Sep-13 RP fixed errors caused by subroutine variables not static
C**** 30-Aug-13 RP got rid of compiler errors for linux gcc
C**** 05-Jul-90 RP got rid of compiler warning errors
C**** 05-Jul-90 RP changed call exit to stop for SUN4
C**** 03-Jun-88 RP made max no. of rays a parameter NRY
C**** 02-Jun-88 RP fixed date,time,cpu time for SUN fortran
C**** minor syntax modifications to compile with SUN fortran
C**** 10-Sep-87 RP changed DIPOLE radius output to G format, avoid overflows
C**** 17-Jun-87 RP removed references to CPU time for ULTRIX fort
C**** 13-JAN-87 SK DMAP - Corrected indexing variable K
C**** 21-JUN-86 SK Major error in BDPP corrected re MTYP=1,2,5
C**** 30-APR-86 SK Analytic algorithim for DIPOLE- s
C**** 17-APR-86 SK Modified BDMP algorithim
C**** 29-MAR-86 SK Field Map Routines for MTYP=3, 4
C**** 20-MAR-86 SK Field Map Generation Routines
C**** 21-MAR-86 SK SHROT - Translate Particle to end of System
C**** 19-MAR-86 SK BDIP, BDPP, NDIP, NDPP Reference to Y
C**** 17-MAR-86 SK Remove reference to CSC and SCOR ; not used
C**** 17-MAR-86 SK BDIP - Removed some extraneous coding.
C**** 10-OCT-85 SK Waist printout in routine MTRX1
C**** 07-SEP-85 SK MTYP=2,3,4 Modified Algorithm for s.
C**** 04-SEP-85 SK Modified Algorithm for fringe field
C**** MTYP=3,4 Magnetic Dipole
C**** 03-SEP-85 SK Velocity of light C=2.99792458
C**** C**2 = 8.98755
C**** Atomic mass = 931.5016 Mev/amu
C**** 03-SEP-85 SK Print Control; JPRT
C**** Electrostatic Dipole, (Z/D+1.)
C**** Velocity Selector, (Z/D+1.)
C**** Poles Error (Octapole - G2)
C**** Lens; Chromatic Aberration
C****
C****
C****
parameter (NRY=999)
IMPLICIT REAL*8(A-H,O-Z)
IMPLICIT INTEGER*4(I-N)
REAL*8 K
LOGICAL LPLT
character*24 daet,ctime
INTEGER*4 time
real*4 etime
real*4 cputime, tyme(2)
character*4 NT1,NT2, NTITLE
character*4 ITITLE(200)
character*4 NWD, NWORD
C*VMS REAL*4 DAET, TYME
C*VMS DIMENSION DAET(3), TYME(2)
C*IBM DIMENSION DAET(5), TYME(2)
DIMENSION XO(NRY), YO(NRY), ZO(NRY), VXO(NRY), VYO(NRY), VZO(NRY)
DIMENSION XI(NRY), YI(NRY), ZI(NRY), VXI(NRY), VYI(NRY), VZI(NRY),
1 DELP(NRY)
DIMENSION NWORD(15),DATA(75,200),IDATA(200),NTITLE(20)
DIMENSION TC(6), DTC(6), R(6,6), T2(5,6,6)
COMMON /BLCK00/ LPLT
COMMON /BLCK 0/ DATA
COMMON /BLCKR0/ ITITLE
COMMON /BLCK 1/ XI, YI, ZI, VXI, VYI, VZI, DELP
COMMON /BLCK 2/ XO, YO, ZO, VXO, VYO, VZO, RTL(NRY), RLL(NRY)
COMMON /BLCK 4/ ENERGY, VEL, PMASS, Q0
COMMON /BLCK 5/ XA, YA, ZA, VXA, VYA, VZA
COMMON /BLCK 6/ NP, JFOCAL
COMMON /BLCK 7/ NCODE
COMMON /BLCK10/ BX, BY, BZ, K, TC, DTC
COMMON /BLCK11/ EX, EY, EZ, QMC
COMMON /BLCR11/ IVEC
COMMON /BLCK15/TMIN,PMIN,XMAX,TMAX,YMAX,PMAX,DMAX
C*REP DATA NWORD/4HSENT, 4HDIPO, 4HQUAD, 4HHEXA, 4HOCTA, 4HDECA, 4HEDIP,
C*REP1 4HVELS, 4HPOLE, 4HMULT, 4HSHRT, 4HDRIF, 4HCOLL, 4HSOLE, 4HLENS/
DATA NWORD/'SENT', 'DIPO', 'QUAD', 'HEXA', 'OCTA', 'DECA', 'EDIP',
1 'VELS', 'POLE', 'MULT', 'SHRT', 'DRIF', 'COLL', 'SOLE', 'LENS'/
DATA C /2.99792458D10/
C*VMS DATA TYME/ ' ', ' ' /
DATA NT1, NT2/' RT8','7.0 '/
C****
C****
100 FORMAT( 8F10.5 )
101 FORMAT( 20A4 )
102 FORMAT(10I5)
103 FORMAT( /// 10X, 'KEY WORD DOES NOT MATCH STORED LIST - NWD= ',A4)
104 FORMAT( // 10X, ' GO TO STATEMENT IN MAIN FELL THROUGH - I= ',I5/)
105 FORMAT( 1H1, 10X, 20A4 )
106 FORMAT( 1H1 )
107 FORMAT( 6F10.5/ 5F10.5/3F10.5/4F10.5/ 4F10.5/ 6F10.5/ 6F10.5/
1 6F10.5/ 4F10.5/ 7F10.5/ 7F10.5 )
108 FORMAT('1',62X, 'RAY ', I4, // 30X, 'ENERGY=',F8.3,' MEV ', 7X,
1 'PMOM=', F8.3, ' MEV/C', 6X, 'VELC=', 1PD11.3, ' CM/SEC' /
2 30X, 'DELE/E=', 0PF8.3, ' (PC)', 5X, 'DELP/P=', F8.3,
3 ' (PC) ', 4X, 'DELV/V=', F7.3, ' (PC)' /)
109 FORMAT( 3F10.5/ 5F10.5/ 4F10.5/ 6F10.5/ 6F10.5 )
111 FORMAT( 2F10.5/ 6F10.5/ 2F10.5/ 6F10.5/ 3F10.5 )
112 FORMAT( 3F10.5/ 4F10.5/ 5F10.5/ 4F10.5/ 6F10.5/ 6F10.5 / 8F10.5 )
113 FORMAT( A4, 16X, A4 )
114 FORMAT( 1F10.5 / 5F10.5 / 2F10.5 )
115 FORMAT( 4F10.5/ 5F10.5/ 2F10.5/ 4F10.5/ 4F10.5/ 4F10.5/ 6F10.5/
1 6F10.5/ 6F10.5/ 6F10.5 )
116 FORMAT( /10X, ' PARTICLE ENERGY =', F10.4, ' MEV' /
1 10X, 'PARTICLE MOMENTUM =', F10.4, ' MEV/C' /
2 10X, 'PARTICLE VELOCITY =',1PD14.4, ' CM/SEC' /
3 10X, ' MASS =',0PF10.4, ' AMU' /
4 10X, ' CHARGE =', F10.4, ' EQ' )
C*VMS117 FORMAT( 10X, 3A4, 1X, 2A4, I12, ' CPU.SEC' )
C*IBM117 FORMAT( 10X, 3A4, 1X, 2A4, 2A4 )
117 format(10x,a : 2x,f10.1,' CPU SECONDS')
118 FORMAT(4F10.5/5F10.5/F10.5/4F10.5/4F10.5/6F10.5/6F10.5)
119 FORMAT( /// ' MAXIMUM NUMBER OF BEAM ELEMENTS EXCEEDED ' /// )
C****
C*VMS CALL DATE(DAET)
C*VMS CALL TIME(TYME)
C*IBM CALL WHEN(DAET)
C**** CALL ERRSET( NUMBER, CONT, COUNT, TYPE, LOG, MAXLIN )
C*VMS CALL ERRSET( 63, .TRUE., .FALSE., .FALSE., .FALSE., 2048)
C*VMS CALL ERRSET( 72, .TRUE., .FALSE., .FALSE., .TRUE., 2560)
C*VMS CALL ERRSET( 74, .TRUE., .FALSE., .FALSE., .TRUE., 2560)
C*VMS CALL ERRSET( 88, .TRUE., .FALSE., .FALSE., .TRUE., 2560)
C*VMS CALL ERRSET( 89, .TRUE., .FALSE., .FALSE., .TRUE., 2560)
C*IBM CALL ERRSET( 207, 256, 1 )
C*IBM CALL ERRSET( 208, 256, 1 )
C*IBM CALL ERRSET( 209, 256, 1 )
C*IBM CALL ERRSET( 210, 256, 1 )
C****
C****
5 LPLT = .FALSE.
IVEC = 0
LNEN = 0
NMAX = 200
DO 1 I=1,NMAX
IDATA(I)= 0
DO 1 J=1,75
DATA(J,I) = 0.
1 CONTINUE
READ ( 5,101,END=99) NTITLE
NTITLE(19) = NT1
NTITLE(20) = NT2
READ (5,102)NR, IP, NSKIP, JFOCAL, JPRT, JNR, NPLT
READ (5,100) ENERGY, DEN, XNEN, PMASS, Q0
IF( NPLT .NE. 0 ) LPLT = .TRUE.
IF( NR .GT. NRY) NR=NRY
IF( Q0 .EQ. 0. ) Q0 = 1.
EMASS = PMASS*931.5016
QMC = EMASS/(8.98755D10*Q0)
ETOT = EMASS + ENERGY
VEL = ( DSQRT( ( 2.*EMASS + ENERGY)*ENERGY) / ETOT ) * C
VEL0 = VEL
EN0 = ENERGY
PMOM0 = DSQRT( (2.*EMASS + EN0)*EN0)
NEN = XNEN
IF( NEN .EQ. 0 ) NEN = 1
NO = 1
2 IF( NO .LE. NMAX ) GO TO 6
PRINT 119
stop
6 READ (5,113) NWD, ITITLE(NO)
DO 3 I=1,15
IF( NWD .EQ. NWORD(I) ) GO TO 4
3 CONTINUE
PRINT 103, NWD
99 stop
4 GO TO( 11, 12, 13, 13, 13, 13, 17, 18, 19, 20,21,22,23,24,25), I
C****
C****
C****
C****
PRINT 104, I
stop
C****
C**** DIPOLE LENS TYPE = 2
C****
12 IDATA(NO) = 2
READ (5,107) ( DATA( J,NO ) , J=1,6 ), ( DATA( J,NO ), J=11,22 ),
1 ( DATA( J,NO ) , J=25,64)
NO = NO + 1
GO TO 2
C****
C**** PURE MULTIPOLES
C**** QUADRUPOLE LENS TYPE = 3
C**** HEXAPOLE LENS TYPE = 4
C**** OCTAPOLE LENS TYPE = 5
C**** DECAPOLE LENS TYPE = 6
C****
13 IDATA(NO) = I
READ (5,109)( DATA( J,NO ) , J=1,3 ), ( DATA( J,NO ), J=10,30 )
NO = NO + 1
GO TO 2
C****
C**** ELECTROSTATIC DEFLECTOR TYPE=7
C****
17 IDATA(NO) = 7
READ(5,118) (DATA(J, NO), J=1, 4), (DATA(J, NO), J=11,20),
1 (DATA(J, NO), J=25,40)
NO = NO + 1
GO TO 2
C****
C**** VELOCITY SELECTOR TYPE = 8
C****
18 IDATA(NO) = 8
READ (5,115) ( DATA(J,NO),J=1,4), (DATA(J,NO), J=7,11 ),
1 ( DATA(J,NO),J=12,13),(DATA(J,NO),J=16,51)
NO = NO + 1
GO TO 2
C****
C**** MULTIPOLE (POLES) TYPE = 9
C****
19 IDATA(NO) = 9
READ (5,112) ( DATA( J,NO ) , J=1,3 ), ( DATA( J,NO ), J=10,34 ),
1 ( DATA( J,NO ) , J=35,42)
NO = NO + 1
GO TO 2
C****
C**** MULTIPOLE LENS TYPE = 10
C****
20 IDATA(NO) = 10
READ (5,111) ( DATA( J,NO ) , J=1,2 ), ( DATA( J,NO ), J=10,17 ),
1 ( DATA( J,NO ) , J=20,28 )
NO = NO + 1
GO TO 2
C****
C**** SHIFT AND ROTATE TYPE = 11
C****
21 IDATA(NO) = 11
READ (5,100) ( DATA( J,NO ) , J=1,6 )
NO = NO + 1
GO TO 2
C****
C**** DRIFT TYPE = 12
C****
22 IDATA(NO) = 12
READ (5,100) ( DATA( J,NO ) , J=1,1 )
NO = NO + 1
GO TO 2
C****
C**** COLLIMATOR TYPE = 13
C****
23 IDATA(NO) = 13
READ(5,100) (DATA(J,NO),J=1,5)
NO = NO+1
GO TO 2
C****
C**** SOLENOID TYPE = 14
C****
24 IDATA(NO) = 14
READ (5,114) (DATA(J,NO),J=1,1), ( DATA(J,NO), J=10,16)
NO = NO+1
GO TO 2
C****
C**** LENS TYPE = 15
C****
25 IDATA(NO) = 15
READ (5,100) (DATA(J,NO), J=1,11 )
NO = NO+1
GO TO 2
C****
C**** SYSTEM END TYPE = 1
C****
11 IDATA(NO) = 1
C****
C****
C**** CALCULATE FIELD MAPS
C****
C****
CALL FMAP( IDATA,NO,IP )
C*VMS ICPU = ITCPU( )/100
c daet = ctime(time())
c cputime = etime(tyme)
c print 117, daet,cputime
C*VMS PRINT 117, DAET, TYME, ICPU
C****
C**** STANDARD RAYS AUTOMATIC SET-UP
C**** IF( NR .GT. JNR ) APPEND ADDITIONAL RAYS FROM INPUT
C****
IF (JNR.EQ.0) GO TO 66
READ (5,100) TMIN,PMIN,XMAX,TMAX,YMAX,PMAX,DMAX
CALL RAYS(JNR)
IF( JNR .GE. NR ) GO TO 52
JNRP = JNR+1
DO 49 J=JNRP,NR
49 READ(5,100,END=60) XI(J),VXI(J),YI(J),VYI(J),ZI(J),VZI(J),
1 DELP(J)
GO TO 52
C****
C**** INPUT RAYS
C****
66 DO 56 J=1,NR
READ(5,100,END=60 )XI(J),VXI(J),YI(J),VYI(J),ZI(J),VZI(J),DELP(J)
56 CONTINUE
GO TO 52
60 NR = J-1
52 DO 53 JEN=1,NEN
C****
C****
C****
NP = IP
IF( (NP .LE. 100) .OR. (NP .GE. 200) ) GO TO 65
IF( JEN .EQ. (NEN/2+1) ) NP = IP-100
65 CONTINUE
IF( (NP .GT. 100) .AND. (JEN .NE. 1) ) GO TO 55
PRINT 105, NTITLE
C*VMS PRINT 117, DAET, TYME
daet = ctime(time())
print 117, daet
PRINT 116, EN0, PMOM0, VEL0, PMASS, Q0
DO 54 NO = 1,200
ITYPE = IDATA(NO)
IF( ITYPE .EQ. 1 ) GO TO 55
54 CALL PRNT( ITYPE, NO )
55 CONTINUE
C**** IF( ( NP .GT. 100) .AND. (JEN .EQ. 1 ) ) PRINT 106
DO 57 J=1,NR
ENERGY = (1.+DELP(J)/100. ) *EN0
ETOT = EMASS + ENERGY
VEL = ( DSQRT( (2.*EMASS + ENERGY) *ENERGY) /ETOT)*C
PMOM = DSQRT( (2.*EMASS + ENERGY) *ENERGY)
K = (Q0/ETOT)*8.98755D10
C****
T = 0.
NUM = 0
XA = XI(J)
YA = YI(J)
ZA = ZI(J)
VXA =VEL*DSIN( VXI(J)/1000. ) * DCOS( VYI(J)/1000. )
VYA =VEL*DSIN( VYI(J)/1000. )
VZA =VEL*DCOS( VXI(J)/1000. ) * DCOS( VYI(J)/1000. )
XDVEL = (VEL-VEL0)*100./VEL0
DELTP = (PMOM-PMOM0)*100./PMOM0
IF( NP .LE. 100) PRINT 108,J, ENERGY,PMOM,VEL,DELP(J),DELTP,XDVEL
DO 50 NO =1,200
ITYPE = IDATA(NO )
GO TO( 31,32,33,33,33,33,37,38,39,40,41,42,46,44,45) ,ITYPE
stop
C****
C****
32 CALL DIPOLE ( NO, NP, T, TP ,NUM )
GO TO 51
33 NCODE = ITYPE-2
CALL MULTPL ( NO, NP, T, TP ,NUM )
GO TO 51
37 IVEC = 1
CALL EDIPL(NO, NP, T, TP, NUM)
IVEC = 0
GO TO 51
38 IVEC = 1
CALL VELS ( NO, NP, T, TP ,NUM )
IVEC = 0
GO TO 51
39 CALL POLES ( NO, NP, T, TP ,NUM )
GO TO 51
40 CALL MULT ( NO, NP, T, TP ,NUM )
GO TO 51
41 CALL SHROT ( NO, NP, T, TP ,NUM )
GO TO 50
42 CALL DRIFT ( NO, NP, T, TP ,NUM )
GO TO 50
44 CALL SOLND ( NO, NP, T, TP ,NUM )
GO TO 51
45 CALL LENS ( NO, NP, T, TP ,NUM )
GO TO 50
46 CALL COLL ( NO, J, IFLAG )
IF( IFLAG .NE. 0 ) GO TO 57
GO TO 50
51 XA = TC(1)
YA = TC(2)
ZA = TC(3)
VXA= TC(4)
VYA= TC(5)
VZA= TC(6)
50 CONTINUE
31 CONTINUE
CALL OPTIC( J, JFOCAL, NP, T, TP )
IF (LPLT ) CALL PLTOUT ( JEN, J, NUM )
57 CONTINUE
ENERGY = EN0
VEL = VEL0
IF( NP .GT. 100 ) GO TO 59
PRINT 105, NTITLE
C*VMS PRINT 117, DAET,TYME
daet = ctime(time())
print 117, daet
PRINT 116, EN0, PMOM0, VEL0, PMASS, Q0
DO 58 NO =1,200
ITYPE = IDATA(NO )
IF ( ITYPE .EQ. 1 ) GO TO 59
58 CALL PRNT( ITYPE, NO )
59 CONTINUE
IF( NSKIP .NE. 0 ) GO TO 61
IF( NR .GE. 46 ) GO TO 62
IF( NR .GE. 14 ) GO TO 63
IF( NR .GE. 6 ) GO TO 64
GO TO 61
62 CALL MATRIX(R,T2)
GO TO 61
63 PRINT 105, NTITLE
C*VMS ICPU = ITCPU( )/100
C*VMS PRINT 117, DAET, TYME, ICPU
daet = ctime(time())
cputime = etime(tyme)
print 117, daet,cputime
CALL MTRX1( 0, JEN, NR, ENERGY, JPRT )
LNEN = 1
GO TO 61
64 PRINT 105, NTITLE
C*VMS ICPU = ITCPU( )/100
C*VMS PRINT 117, DAET, TYME, ICPU
daet = ctime(time())
cputime = etime(tyme)
print 117, daet,cputime
CALL MTRX1( 1, JEN, NR, ENERGY, JPRT )
LNEN = 1
61 IF( JPRT .EQ. 3 ) GO TO 67
if( JPRT .EQ. 0 ) GO TO 68
IF( .NOT. ( (JPRT .EQ. 1) .AND. (JEN .EQ. (NEN/2+1) ) ) ) GO TO 67
68 CALL PRNT1 ( NR )
67 EN0 = EN0 + DEN
ENERGY = EN0
ETOT = EMASS + EN0
VEL0 = ( DSQRT( ( 2.*EMASS + EN0)*EN0 ) /ETOT)*C
PMOM0 = DSQRT( (2.*EMASS + EN0)*EN0)
53 CONTINUE
IF( (LNEN .EQ. 0 ) .OR. (NEN .EQ. 1 ) ) GO TO 5
PRINT 105, NTITLE
C**** CALL TIME(TYME)
C*VMS ICPU = ITCPU( )/100
C*VMS PRINT 117, DAET, TYME, ICPU
daet = ctime(time())
cputime = etime(tyme)
print 117, daet,cputime
C*IBM CALL WHEN(DAET)
CALL MPRNT( NEN )
PRINT 106
GO TO 5
END
SUBROUTINE RAYS(NR)
C****
parameter (NRY=999)
IMPLICIT REAL*8(A-H,O-Z)
IMPLICIT INTEGER*4(I-N)
DIMENSION XI(NRY), YI(NRY), ZI(NRY), VXI(NRY), VYI(NRY), VZI(NRY),
1 DELP(NRY)
COMMON /BLCK 1/ XI, YI, ZI, VXI, VYI, VZI, DELP
COMMON /BLCK15/ TMIN, PMIN, XMAX, TMAX, YMAX, PMAX, DMAX
100 FORMAT (///10X, 'JNR = ', I10 ///)
C****
C****
DO 1 I=1,NRY
XI(I)=0.
YI(I)=0.
ZI(I)=0.
VXI(I)=0.
VYI(I)=0.
VZI(I)=0.
DELP(I)=0.
1 CONTINUE
IF (TMIN.EQ.0.) TMIN=1.0
IF (PMIN.EQ.0.) PMIN=1.0
TMAX2 = TMAX/2.0
TMAX3 = TMAX/3.0
PMAX2 = PMAX/2.0
PMAX3 = 2.*PMAX/3.0
IF (NR.EQ.2) GO TO 2
IF (NR.EQ.6) GO TO 2
IF (NR.EQ.14) GO TO 2
IF (NR.EQ.46) GO TO 3
PRINT 100, NR
stop
2 VXI(2)=TMIN
VYI(2)=PMIN
IF (NR.EQ.2) GO TO 5
VXI(3)=TMAX2
VXI(4)=-TMAX2
VXI(5)=TMAX
VXI(6)=-TMAX
IF (NR.EQ.6) GO TO 5
VYI(7)=PMAX2
VXI(8)=TMAX2
VYI(8)=PMAX2
VXI(9)=-TMAX2
VYI(9)=PMAX2
VXI(10)=TMAX
VYI(10)=PMAX2
VXI(11)=-TMAX
VYI(11)=PMAX2
VYI(12)=PMAX
VXI(13)=TMAX2
VYI(13)=PMAX
VXI(14)=-TMAX2
VYI(14)=PMAX
C****
C****
C****
5 DO 4 I=1,NR
XI(I) = XMAX
YI(I) = YMAX
4 DELP(I) = DMAX
RETURN
C****
C****
C****
3 VXI(2)=TMIN
VYI(2)=PMIN
XI(3)=XMAX
XI(4)=-XMAX
VXI(5)=TMAX3
VXI(6)=-TMAX3
YI(7)=YMAX
YI(8)=-YMAX
VYI(9)=PMAX3
VYI(10)=-PMAX3
DELP(11)=DMAX
DELP(12)=-DMAX
XI(13)=XMAX
VXI(13)=TMAX3
XI(14)=-XMAX
VXI(14)=-TMAX3
XI(15)=XMAX
DELP(15)=DMAX
XI(16)=-XMAX
DELP(16)=-DMAX
VXI(17)=TMAX3
DELP(17)=DMAX
VXI(18)=-TMAX3
DELP(18)=-DMAX
YI(19)=YMAX
VYI(19)=PMAX3
YI(20)=-YMAX
VYI(20)=PMAX3
XI(21)=XMAX
YI(21)=YMAX
XI(22)=-XMAX
YI(22)=YMAX
XI(23)=XMAX
VYI(23)=PMAX3
XI(24)=-XMAX
VYI(24)=PMAX3
VXI(25)=TMAX3
YI(25)=YMAX
YI(26)=YMAX
VXI(27)=TMAX3
VYI(27)=PMAX3
VXI(28)=-TMAX3
VYI(28)=PMAX3
YI(29)=YMAX
DELP(29)=DMAX
YI(30)=YMAX
DELP(30)=-DMAX
VYI(31)=PMAX3
DELP(31)=DMAX
VYI(32)=PMAX3
DELP(32)=-DMAX
VXI(33)=TMAX
VXI(34)=-TMAX
XI(35)=XMAX
VXI(35)=TMAX
XI(36)=-XMAX
VXI(36)=TMAX
XI(37)=XMAX
VXI(37)=-TMAX
XI(38)=-XMAX
VXI(38)=-TMAX
VXI(39)=TMAX
DELP(39)=DMAX
VXI(40)=TMAX
DELP(40)=-DMAX
VXI(41)=-TMAX
DELP(41)=DMAX
VXI(42)=-TMAX
DELP(42)=-DMAX
VYI(43)=PMAX
VXI(44)=TMAX
VYI(44)=PMAX
DELP(45)=3.*DMAX
DELP(46)=-3.*DMAX
RETURN
END
SUBROUTINE FMAP(IDATA, NO, NP)
C****
C****
C**** Control Section for calculating Dipole Field Maps on a
C**** Rectangular grid.
C****
C****
C****
IMPLICIT REAL*8(A-H,O-Z)
IMPLICIT INTEGER*4(I-N)
character*4 ITITLE
DIMENSION IDATA(200)
DIMENSION DATA( 75,200 ) ,ITITLE(200)
COMMON /BLCK 0/ DATA
COMMON /BLCKR0/ ITITLE
COMMON /BLCK26/ JMAP(5), IX, IZ, idum
COMMON /BLCR26/ BZMAP(101,101,2,5)
DATA PRNT /0/
C****
C****
C****
120 FORMAT( / ' *** FATAL ERROR **** - ELEMENT NO=', I5,
1' EXCEEDS MAXIMUM FIELD MAP INDEX' , / ' IMAP=', I5 /)
121 FORMAT( / ' ***WARNING*** FIELD MAPS NOT IMPLIMENTED FOR THIS
1 MTYP: NO=',I5, ' MTYP=',I5, ' IMAP=',I5 /)
122 FORMAT( '1', // ' FIELD MAP PARAMETERS ', / 5X,
1 'IMAP NO MTYP IR NXLO NXHI NZLO NZHI ' )
C****
C****
C**** BZMAP(NX,NZ,IR,IMAP)
C**** NX : X-POSITION INDEX
C**** NZ : Z-POSITION INDEX
C**** IR=1 : ENTRANCE FRINGE FIELD
C**** IR=2 : EXIT FRINGE FIELD
C**** IMAP=(1-5) : IDENTIFIES FIELD MAP
C****
C****
C****
C**** CLEAR FIELD MAP AND INDEX ARRAYS
C****
DO 1 I=1,5
1 JMAP(I)=0
DO 2 I1=1,101
DO 2 I2=1,101
DO 2 I3=1,2
DO 2 I4=1,5
2 BZMAP(I1,I2,I3,I4)=0.
C****
C**** CYCLE THROUGH ELEMENTS TO FIND DIPOLES WHICH NEED FIELD MAPS
C**** CALCULATED.
C****
DO 3 I=1,NO
IF( IDATA(I) .NE. 2 ) GO TO 3
C****
C**** CHECK FOR MAP INDEX AND WHETHER DIPOLE NEEDS A MAP TO BE
C**** CALCULATED
C****
MTYP = DATA(5,I)
IMAP = DATA(6,I)
IF( IMAP .EQ. 0 ) GO TO 3
C****
C**** CHECK FOR VALID MTYPs
C****
IF( MTYP .LE. 5 ) GO TO 6
PRINT 121, I, MTYP, IMAP
C****
C**** RESET INVALID FIELD-MAP
C****
DATA(6,I) = 0.
GO TO 3
C****
C**** CHECK TO SEE IF MAP WITH THIS INDEX IMAP=(1-5) HAS ALLREADY
C**** BEEN CALCULATED
C**** CHECK IMAP INDEX LIMITS
C****
6 CONTINUE
IF( IMAP .LE. 5 ) GO TO 4
PRINT 120, I, IMAP
stop
4 CONTINUE
IF( JMAP(IMAP) .NE. 0 ) GO TO 5
C****
C**** IDENTIFY DIPOLE MAGNETIC ELEMENT USED TO CALCULATE FIELD MAP
C**** FOR INDEX IMAP.
C****
JMAP(IMAP)=I
C****
C**** CALCULATE FIELD MAP FOR INDEX IMAP
C****
IF( PRNT .EQ. 0 ) PRINT 122
PRNT = 1
CALL DMAP( I, NP )
GO TO 3
5 CONTINUE
C****
C**** CHECK TO SEE THAT DIPOLE HAS EXACTLY THE SAME FIELD DESCRIPTION
C**** AS DIPOLE WHOSE MAP HAS ALLREADY BEEN CALCULATED
C****
3 CONTINUE
RETURN
END
SUBROUTINE DMAP( NO, NP )
C****
C****
C**** CALCULATE FIELD MAPS
C****
C****
IMPLICIT REAL*8(A-H,O-Z)
IMPLICIT INTEGER*4(I-N)
REAL*8 LF1, LF2, K, NDX
character*4 ITITLE
DIMENSION DATA( 75,200 ) ,ITITLE(200)
DIMENSION TC(6), DTC(6)
c not used ** , DS(6), ES(6)
DIMENSION NXLMT(5,2,2), NZLMT(5,2,2)
COMMON /BLCK 0/ DATA
COMMON /BLCKR0/ ITITLE
COMMON /BLCK 4/ ENERGY, VEL, PMASS, Q0
COMMON /BLCK 5/ XA, YA, ZA, VXA, VYA, VZA
COMMON /BLCK10/ BX, BY, BZ, K, TC, DTC
COMMON /BLCK20/ NDX,BET1,GAMA,DELT
COMMON /BLCK21/ RCA,DELS,BR,S2,S3,S4,S5,S6,S7,S8
COMMON /BLCK22/ D, DG, S, BF, BT, WDIP
COMMON /BLCK23/ C0, C1, C2, C3, C4, C5
COMMON /BLCK24/ RB, XC, ZC
COMMON /BLCK25/ IN, MTYP, NSRF, IMAP, IR
COMMON /BLCK26/ JMAP(5), IX, IZ, idum
COMMON /BLCR26/ BZMAP(101,101,2,5)
C****
C****
DATA NXMAX /101/
DATA NZMAX /101/
DATA NZ1MAX/ 60/
DATA NZ2MAX/ 40/
C****
C****
IX = NXMAX/2+1
IZ = NZ2MAX +1
C****
C****
100 FORMAT( '1',// ' ENTRANCE FRINGING FIELD MAP : IMAP=', I3 / )
101 FORMAT( '1',// ' EXIT FRINGING FIELD MAP : IMAP=', I3 / )
102 FORMAT( '1' )
103 FORMAT( ' NX', 4X, 15I8 )
104 FORMAT( I4, F8.3, 15F8.4 )
105 FORMAT( /' ***WARNING*** MAP INDICES EXCEED LIMITS -RESET-'/
1 ' NO=',I4, ' IMAP=',I4, 'IR=',I4,
2 ' NXLO=',I4,' NXHI=',I4,' NZLO=',I4,' NZHI=',I4 /)
106 FORMAT( 3X, 8I6 )
107 FORMAT( ' X', 6X, 15F8.3 )
108 FORMAT( ' NZ Z' )
110 FORMAT( /'***WARNING*** INPUT DG CHANGED TO STAY WITHIN ARRAY
1 LIMITS : DG(Input)=',F10.3, ' DG(Cacl.)=',F10.3 /)
C****
C****
C****
C****
LF1 = DATA( 1,NO )
LF2 = DATA( 3,NO )
DG = DATA( 4,NO )
MTYP = DATA( 5,NO )
IMAP = DATA( 6,NO )
D = DATA( 13,NO )
RB = DATA( 14,NO )
BF = DATA( 15,NO )
ALPHA= DATA( 17,NO )
BETA = DATA( 18,NO )
NDX = DATA( 19,NO )
BET1 = DATA( 20,NO )
GAMA = DATA( 21,NO )
DELT = DATA( 22,NO )
Z11 = DATA( 25,NO )
Z12 = DATA( 26,NO )
Z21 = DATA( 27,NO )
Z22 = DATA( 28,NO )
BR1 = DATA( 41,NO )
BR2 = DATA( 42,NO )
WDE = DATA( 49,NO )
WDX = DATA( 50,NO )
IF( MTYP .EQ. 0 ) MTYP = 1
IF( WDE .EQ. 0. ) THEN
WDE = 5.*D
DATA( 49,NO ) = WDE
END IF
IF( WDX .EQ. 0. ) THEN
WDX = 5.*D
DATA( 50,NO ) = WDX
END IF
C****
C****
C****
DX1 = (WDE + 2.*DABS(Z11)*DTAN( DABS(ALPHA/57.29578)))/(NXMAX-7)
DX2 = (WDX + 2.*DABS(Z22)*DTAN( DABS(BETA/57.29578)) )/(NXMAX-7)
DZ11 = (LF1+DABS(Z11))/(NZ1MAX-3)
DZ12 = (LF1+DABS(Z12))/(NZ2MAX-3)
DZ21 = (LF2+DABS(Z21))/(NZ2MAX-3)
DZ22 = (LF2+DABS(Z22))/(NZ1MAX-3)
DGI = DG
IF( DX1 .GT. DG ) DG = DX1
IF( DX2 .GT. DG ) DG = DX2
IF( DZ11 .GT. DG ) DG = DZ11
IF( DZ12 .GT. DG ) DG = DZ12
IF( DZ21 .GT. DG ) DG = DZ21
IF( DZ22 .GT. DG ) DG = DZ22
IF( DG .NE. DGI) THEN
DATA(4,NO) = DG
PRINT 110, DGI, DG
END IF
C****
C**** IR=1
C****
C****
IFLAG = 0
IR = 1
NDX1 = ( WDE+2.*DABS(Z11)*DTAN( DABS(ALPHA/57.29578) ) )/(2.*DG)
NXLO = IX-NDX1-3
NXHI = IX+NDX1+3
NZLO = IZ-3+(Z12-LF1)/DG
NZHI = IZ+3+(Z11+LF1)/DG
NXLMT( IMAP,IR,1 ) = NXLO
NXLMT( IMAP,IR,2 ) = NXHI
NZLMT( IMAP,IR,1 ) = NZLO
NZLMT( IMAP,IR,2 ) = NZHI
C****
C**** CHECK IF INDEX .LT. 1 ; PRINT WARNING
C**** CHECK IF NX .GT. NXMAX ; PRINT WARNING
C**** CHECK IF NZ .GT. NZMAX ; PRINT WARNING
C****
IF( NXLO .LE. 0 ) THEN
NXLMT(IMAP,IR,1) = 1
IFLAG = 1
END IF
IF( NXHI .GT. NXMAX ) THEN
NXLMT(IMAP,IR,2) = NXMAX
IFLAG = 1
END IF
C****
C****
IF( NZLO .LE. 0 ) THEN
NZLMT(IMAP,IR,1) = 1
IFLAG = 1
END IF
IF( NZHI .GT. NZMAX ) THEN
NZLMT(IMAP,IR,2) = NZMAX
IFLAG = 1
END IF
C****
C****
IF(IFLAG .NE. 0) PRINT 105, NO, IMAP,IR, NXLO, NXHI, NZLO, NZHI
C****
C**** IR=2
C****
IFLAG = 0
IR = 2
NDX1 = ( WDX+2.*DABS(Z22)*DTAN( DABS(BETA/57.29578) ) )/(2.*DG)
NXLO = IX-NDX1-3
NXHI = IX+NDX1+3
NZLO = IZ-3+(Z21-LF2)/DG
NZHI = IZ+3+(Z22+LF2)/DG
NXLMT( IMAP,IR,1 ) = NXLO
NXLMT( IMAP,IR,2 ) = NXHI
NZLMT( IMAP,IR,1 ) = NZLO
NZLMT( IMAP,IR,2 ) = NZHI
C****
C**** CHECK IF INDEX .LT. 1 ; PRINT WARNING
C**** CHECK IF NX .GT. NXMAX ; PRINT WARNING
C**** CHECK IF NZ .GT. NZMAX ; PRINT WARNING
C****
IF( NXLO .LE. 0 ) THEN
NXLMT(IMAP,IR,1) = 1
IFLAG = 1
END IF
IF( NXHI .GT. NXMAX ) THEN
NXLMT(IMAP,IR,2) = NXMAX
IFLAG = 1
END IF
C****
C****
IF( NZLO .LE. 0 ) THEN
NZLMT(IMAP,IR,1) = 1
IFLAG = 1
END IF
IF( NZHI .GT. NZMAX ) THEN
NZLMT(IMAP,IR,2) = NZMAX
IFLAG = 1
END IF
C****
C****
IF(IFLAG .NE. 0) PRINT 105, NO, IMAP,IR, NXLO, NXHI, NZLO, NZHI
C****
C**** CALCULATE MAPS FOR ENTRANCE AND EXIT FRINGE FIELDS
C****
DO 1 IR=1,2
IF( IR .EQ. 1 ) THEN
C****
C**** SETUP ENTRANCE FRINGE FIELD PARAMETERS
C****
XC= RB*DCOS( ALPHA/ 57.29578 )
ZC=-RB*DSIN( ALPHA/ 57.29578 )
BR = BR1
C0 = DATA( 29,NO )
C1 = DATA( 30,NO )
C2 = DATA( 31,NO )
C3 = DATA( 32,NO )
C4 = DATA( 33,NO )
C5 = DATA( 34,NO )
DELS = DATA( 45,NO )
RCA = DATA( 47,NO )
S2 = DATA( 51,NO ) / RB + RCA/2.D0
S3 = DATA( 52,NO ) / RB**2
S4 = DATA( 53,NO ) / RB**3 + RCA**3/8.D0
S5 = DATA( 54,NO ) / RB**4
S6 = DATA( 55,NO ) / RB**5 + RCA**5/16.D0
S7 = DATA( 56,NO ) / RB**6
S8 = DATA( 57,NO ) / RB**7 + RCA**7/25.6D0
C****
C**** CHECK IF WE HAVE A FLAT BOUNDARY
C**** NSRF=0 FLAT
C**** =1 CURVED
C****
NSRF = 1
IF( (S2 .EQ. 0.) .AND. (S3 .EQ. 0.) .AND. (S4 .EQ. 0.) .AND.
1 (S5 .EQ. 0.) .AND. (S6 .EQ. 0.) .AND. (S7 .EQ. 0.) .AND.
2 (S8 .EQ. 0.) ) NSRF = 0
C****
END IF
C****
C****
IF( IR .EQ. 2 ) THEN
C****
C**** SETUP EXIT FRINGE FIELD PARAMETERS
C****
C****
XC=-RB*DCOS( BETA / 57.29578 )
ZC=-RB*DSIN( BETA / 57.29578 )
BR = BR2
C0 = DATA( 35,NO )
C1 = DATA( 36,NO )
C2 = DATA( 37,NO )
C3 = DATA( 38,NO )
C4 = DATA( 39,NO )
C5 = DATA( 40,NO )
DELS = DATA( 46,NO )
RCA = DATA( 48,NO )
S2 = DATA( 58,NO ) / RB + RCA/2.D0
S3 = DATA( 59,NO ) / RB**2
S4 = DATA( 60,NO ) / RB**3 + RCA**3/8.D0
S5 = DATA( 61,NO ) / RB**4
S6 = DATA( 62,NO ) / RB**5 + RCA**5/16.D0
S7 = DATA( 63,NO ) / RB**6
S8 = DATA( 64,NO ) / RB**7 + RCA**7/25.6D0
C****
C**** CHECK IF WE HAVE A FLAT BOUNDARY
C**** NSRF=0 FLAT
C**** =1 CURVED
C****
NSRF = 1
IF( (S2 .EQ. 0.) .AND. (S3 .EQ. 0.) .AND. (S4 .EQ. 0.) .AND.
1 (S5 .EQ. 0.) .AND. (S6 .EQ. 0.) .AND. (S7 .EQ. 0.) .AND.
2 (S8 .EQ. 0.) ) NSRF = 0
C****
C****
END IF
C****
NXLO = NXLMT(IMAP,IR,1)
NXHI = NXLMT(IMAP,IR,2)
NZLO = NZLMT(IMAP,IR,1)
NZHI = NZLMT(IMAP,IR,2)
C****
C**** MTYP = 3, 4
C****
IF( (MTYP .EQ. 3) .OR. (MTYP .EQ. 4) ) THEN
DO 3 I=NXLO,NXHI
DO 3 J=NZLO,NZHI
X = (I-IX)*DG
Z = (J-IZ)*DG
DX = X-XC
DZ = Z-ZC
ZFB = ZEFB(X)
IF( Z .GT. ZFB ) DZ = ZFB-ZC
DR = DSQRT( DX*DX + DZ*DZ ) - RB
CALL NDPP( B0,Z,X,DR)
BZMAP(I, J, IR, IMAP ) = B0/BF
3 CONTINUE
GO TO 4
END IF
C****
C**** MTYP = 0, 1, 2, 5
C****
DO 2 I=NXLO,NXHI
DO 2 J=NZLO,NZHI
X = (I-IX)*DG
Z = (J-IZ)*DG
CALL BDPP( B0,Z,X)
BZMAP(I, J, IR, IMAP ) = B0/BF
2 CONTINUE
C****
C****
4 PRINT 106, IMAP, NO, MTYP, IR, NXLO, NXHI, NZLO, NZHI
1 CONTINUE
C****
C**** PRINT MAPS
C***
IF( NP .LE. 100 ) THEN
DO 10 IR=1,2
IF( IR .EQ. 1 ) PRINT 100, IMAP
IF( IR .EQ. 2 ) PRINT 101, IMAP
NXLO = NXLMT(IMAP,IR,1)
NXHI = NXLMT(IMAP,IR,2)
NZLO = NZLMT(IMAP,IR,1)