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trg_track.f
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trg_track.f
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*------------------------------------------------------------------------
*
* TRG_TRACK GEN Target Rracking routines
* -=========-
*
* Raytracing of 3-d motion in polarized target field by solution
* of differential equations of motion via 4th order Runge-Kutta. Field
* orientation arbitrary.
*
* Note: - the HMS routines use a right handed coord. system with
* x : pointing downwards
* y : perpendicular to x,z,
* pointing to the left (if seen in z-direction)
* z : BEAM axis or HMS axis, pointing downstream or
* from the target to the focal plane respectively
*
* - the B field map uses a cylindrical coordinate system
* with z along the field axis and r perpendicular to it
*
* - all length (x,y,z,dl,l,...) are measured in [cm]
* - all velocities are measured in [cm/ns]
* - all angles are measured counter clock wise in [deg]
* - time is measured in [ns]
* - the B field is measured in [T]
*
* original devloped by ???
* widely modified by MM
* - converted into subroutines
* - rotation algorytm correced (at moment: phi==0 assumed)
* - changed coordinate system
* beam direction: z
* horizontal plane: zy
* out of plane: x (points downwards)
*
* Supplies:
* trgInit (map,theta,phi)
* load the target field map
* trgTrackToPlane (u,E,dl,a,b,c,d,ok)
* track a single particle with given start parameters
* and find the intersection of the particle track with
* a given plane
*
* Note: - Before calling trgTrack,trgXTrack or trgTrackToPlane
* the target field map has to be loaded by a call to
* trgInit
*
* 99/11/24 GAW: in trgInit - fixed bug in uniform field
* - added zero field option
* in trgTrackToPlane - fixed bug in which routine took
* an extra step if crossed the targeted plane
* in the first step
* 99/12/06 GAW: numerous modifications to work with 2 spectrometers
*------------------------------------------------------------------------
SUBROUTINE trgTrackToPlane (u,E,dl,a,b,c,d,ok,spect)
IMPLICIT NONE
! REAL*8 u(6),E,dl,a,b,c,d
REAL*8 u(9),E,dl,a,b,c,d ! OR - 4/04
INTEGER spect
LOGICAL ok
* -- track a single particle with given start parameters
* and find the intersection of the particle track with a given plane
*
* Parameter:
* u IO : coordinate vector (initial/final)
* u0(1,2,3) : x, y, z [cm]
* u0(4,5,6) : dx/dt, dy/dt, dz/dt [cm/ns]
* E I : particle energy [MeV] * sign of particle charge
* (negative for electrons, positive for protons/deuterons)
* dl I : step size [cm]
* a..d I : parameter of the intersection plane
* 0 = a*x+b*y+c*z+d;
* ok IO : status variable
* - if false no action is taken
* - set to false when no intersection point is found
*
REAL*8 factor
COMMON /trgConversionFactor/factor
! REAL*8 ts,n,an,bn,cn,dn,maxdist,dist0,dist1,u0(6),u1(6)
REAL*8 ts,n,an,bn,cn,dn,maxdist,dist0,dist1,u0(9),u1(9) ! OR - 4/04
INTEGER i,steps,max_steps
! For Bdl
do i=7,9
u(i)=0.0
u0(i)=0.0
u1(i)=0.0
end do
IF (.NOT. OK) RETURN
n = 1.d00/SQRT (a*a+b*b+c*c)
an = a*n
bn = b*n
cn = c*n
dn = d*n
factor = 90.d00/E
ts = -dl/sqrt(u(4)**2+u(5)**2+u(6)**2)
dist0 = u(1)*an + u(2)*bn + u(3)*cn + dn
maxdist = max(ABS(dist0)*4.d00,1.0d00)
! check for the tracking direction
! CALL trgRK4(u,u1,ts,spect)
CALL trgRK4Bdl(u,u1,ts,spect)
dist1 = u1(1)*an + u1(2)*bn + u1(3)*cn + dn
IF ((SIGN(1.D00,dist0) .EQ. SIGN(1.D00,dist1)) .AND.
> (ABS(dist0) .LT. ABS(dist1))) ts=-ts
! track through the intersection plane
! GAW 99/11/22
! Previously, if dist1 and dist0 had different signs, it move the track one
! extra step so that interpolation in end is wrong. The added if prevents that.
steps = 0
max_steps = int(max(dist0,10.*dl)/dl)*10
IF (SIGN(1.D00,dist0).eq.SIGN(1.D00,dist1)) THEN
dist1 = dist0
DO WHILE ((SIGN(1.D00,dist0) .EQ. SIGN(1.D00,dist1)) .AND. ok)
! CALL trgRK4(u1,u0,ts,spect)
CALL trgRK4Bdl(u1,u0,ts,spect)
dist0 = u0(1)*an + u0(2)*bn + u0(3)*cn + dn
IF (SIGN(1.D00,dist0) .EQ. SIGN(1.D00,dist1)) THEN
! CALL trgRK4(u0,u1,ts,spect)
CALL trgRK4Bdl(u0,u1,ts,spect)
dist1 = u1(1)*an + u1(2)*bn + u1(3)*cn + dn
ENDIF
ok = (ABS(dist1) .LT. maxdist).and.steps.lt.max_steps
C write(*,*) dist0,dist1
steps = steps+1
ENDDO
ELSE
DO i=1,6
u0(i) = u(i)
ENDDO
ENDIF
IF (ok) THEN
! calculate the intersection point
DO i=1,6
u(i) = u0(i) + (u1(i)-u0(i)) * dist0/(dist0-dist1)
ENDDO
! Bdl
do i=7,9
u(i) = u0(i) + (u1(i)-u0(i)) * dist0/(dist0-dist1)
! u(i)=u0(i)
end do
ENDIF
RETURN
END
*------------------------------------------------------------------------------
* load the field map and calculate the magnetic field strength
*
SUBROUTINE trgInit (map,theta_e,phi_e,theta_p,phi_p)
IMPLICIT NONE
CHARACTER map*(*)
REAL*8 theta_e,phi_e,theta_p,phi_p
* -- read field map (for calculations in the LAB system)
*
* Parameter:
* map I : filename of the fieldmap (=' ': uniform field test case)
* theta_e,phi_e I : inplane(theta) & out of plane(phi) angle for e spect
* theta_p,phi_p I : inplane(theta) & out of plane(phi) angle for p spect
*
* note: currently phi is always treated as 0
*
* GAW 99/12/06 modified to work with 2 spectrometers
INTEGER nz,nr
PARAMETER (nz = 51)
PARAMETER (nr = 51)
REAL*8 B_field_z(nz,nr),B_field_r(nz,nr),zz(nz),rr(nr)
REAL*8 B_theta_e,B_stheta_e,B_ctheta_e,B_phi_e,B_sphi_e,B_cphi_e
REAL*8 B_theta_p,B_stheta_p,B_ctheta_p,B_phi_p,B_sphi_p,B_cphi_p
COMMON /trgFieldStrength/ B_field_z,B_field_r,zz,rr
COMMON /trgFieldAngles_e/ B_theta_e,B_stheta_e,B_ctheta_e,
> B_phi_e, B_sphi_e, B_cphi_e
COMMON /trgFieldAngles_p/ B_theta_p,B_stheta_p,B_ctheta_p,
> B_phi_p, B_sphi_p, B_cphi_p
REAL*8 pi180
real*8 scale ! hard coded rescaling of B field for RSS
parameter (scale=0.98104) ! B_RSS = 5.0033 T - OARA 4/12/04
PARAMETER (pi180 = 3.141592653d00/180.d00)
INTEGER ir,iz
REAL*8 xx
B_theta_e = theta_e
B_stheta_e = SIN(theta_e*pi180)
B_ctheta_e = COS(theta_e*pi180)
B_theta_p = theta_p
B_stheta_p = SIN(theta_p*pi180)
B_ctheta_p = COS(theta_p*pi180)
! Note: for performance reasons B_phi is always treated 0 in trgField
B_phi_e = phi_e
B_sphi_e = SIN(phi_e*pi180)
B_cphi_e = COS(phi_e*pi180)
B_phi_p = phi_p
B_sphi_p = SIN(phi_p*pi180)
B_cphi_p = COS(phi_p*pi180)
CGAW write(*,*) 'trginit',theta_e,theta_p
! GAW 99/11/22: Add zero field option
IF (map.EQ.'0') THEN
DO ir=1,nr
rr(ir) = 2.*float(ir-1)
zz(ir) = 2.*float(ir-1)
DO iz=1,nz
B_field_r(iz,ir) = 0.
B_field_z(iz,ir) = 0.
ENDDO
ENDDO
! GAW 99/11/22: End
ELSEIF (map .NE. ' ') THEN !read in numerical field map
OPEN (unit=1,file=map,status='old')
DO ir=1,nr
rr(ir) = 2.*float(ir-1)
zz(ir) = 2.*float(ir-1)
DO iz=1,nz
READ (1,*)xx,xx,B_field_z(iz,ir),B_field_r(iz,ir),xx,xx,xx
! rescale field to desired value
B_field_z(iz,ir) = B_field_z(iz,ir) * scale
B_field_r(iz,ir) = B_field_r(iz,ir) * scale
ENDDO
ENDDO
CLOSE (unit=1)
ELSE
! GAW 99/11/19: Must initialize rr and zz before going through loop since
! do tests on them.
DO ir=1,nr ! uniform 5T field over 26 cm in z
rr(ir) = 2.*float(ir-1) ! and 16 cm in r
zz(ir) = 2.*float(ir-1)
ENDDO
DO ir=1,nr ! uniform 5T field over 26 cm in z
DO iz=1,nz
B_field_r(iz,ir) = 0.
IF (rr(ir) .LE. 16. .and. zz(iz) .LE. 26.) THEN
CGAW B_field_z(iz,ir) = 0.0
B_field_z(iz,ir) = 5.0
ELSE
B_field_z(iz,ir) = 0.0
ENDIF
ENDDO
ENDDO
ENDIF
RETURN
END
SUBROUTINE trgField (x_,B_,spect)
IMPLICIT NONE
! REAL*8 x_(3),B_(3)
REAL*8 x_(6),B_(3)
* -- calculate actual field
*
* Parameter:
* x_ I : lab coordinates
* B_ O : B field in lab coordinates
* spect I: id for spectrometer (-1=e-, +1=p)
*
* Notes:
* - 2-Dimensional Linear Interpolation:
* Assumes uniform spacing of fieldmap in x,y
* - for performance reasons B_phi is always treated 0
*
* GAW 99/12/06 modified to work with 2 spectrometers
INTEGER nz,nr
PARAMETER (nz = 51)
PARAMETER (nr = 51)
REAL*8 B_field_z(nz,nr),B_field_r(nz,nr),zz(nz),rr(nr)
REAL*8 B_theta_e,B_stheta_e,B_ctheta_e,B_phi_e,B_sphi_e,B_cphi_e
REAL*8 B_theta_p,B_stheta_p,B_ctheta_p,B_phi_p,B_sphi_p,B_cphi_p
COMMON /trgFieldStrength/ B_field_z,B_field_r,zz,rr
COMMON /trgFieldAngles_e/ B_theta_e,B_stheta_e,B_ctheta_e,
> B_phi_e, B_sphi_e, B_cphi_e
COMMON /trgFieldAngles_p/ B_theta_p,B_stheta_p,B_ctheta_p,
> B_phi_p, B_sphi_p, B_cphi_p
REAL*8 B_tht, B_stht, B_ctht, B_ph, B_sph, B_cph
INTEGER i,j,spect
REAL*8 x(3),B(3),z,r,az,ar,a0,a1
real*8 xx(3),x_sur(2),y_sur(2),z_sur(2) ! OR - 4/04
real*8 azim,az0,az_corr,horiz,az_corr2 ! OR - 7/04
real*8 B_scale,B_corr ! OR - 7/04
logical forwd ! OR - 4/04 B offset forward only
common/fwd/forwd ! OR -4/04
integer flag_az ! OR - 7/04
logical azcor
save B_scale
common /azimuth/ flag_az ! OR - 7/04
! data flagaz /1/
c
c Survey system z=beam downstream, x=left of beam y= above beam
c
! data x_sur /-.161d0, .123d0/,
! 1 y_sur / .147d0, .108d0/,
! 1 z_sur / .339d0, -.205d0/! Survey offsets cm, 1= perp
!! 1 z_sur / .197d0, -.205d0/! Survey offsets cm, 1= perp
data x_sur / .0d0, .0d0/
data y_sur / .0d0, .0d0/
data z_sur / .0d0, .0d0/! Survey offsets cm, 1= perp
! set up angles for electron or proton spectrometer
! if(flag_az.eq.1.and.forwd) then ! OR - 7/04
horiz=atan(x_(5)/x_(6))
azim=atan(x_(4)/(x_(6)*cos(horiz+0.2295)))
! azim=x_(4)/x_(6)
! flag_az = 0
! end if
if (spect.eq.-1) then
B_tht = B_theta_e
B_stht = B_stheta_e
B_ctht = B_ctheta_e
B_ph = B_phi_e
B_sph = B_sphi_e
B_cph = B_cphi_e
else if (spect.eq.1) then
B_tht = B_theta_p
B_stht = B_stheta_p
B_ctht = B_ctheta_p
B_ph = B_phi_p
B_sph = B_sphi_p
B_cph = B_cphi_p
endif
! rotate to coordinates with z' along field direction
! write(*,*) x,xx
x(1) = x_(1)
x(2) = B_stht*x_(3) + B_ctht*x_(2)
x(3) = B_ctht*x_(3) - B_stht*x_(2)
! compute zylinder coordinates
z = ABS (x(3))
r = SQRT (x(1)**2 + x(2)**2)
! interpolate the field map
i = INT((z-zz(1))/(zz(2)-zz(1))) + 1
j = INT((r-rr(1))/(rr(2)-rr(1))) + 1
IF ((i+1 .GT. nz) .OR. (i .LT. 1) .OR.
> (j+1 .GT. nr) .OR. (j .LT. 1)) THEN
! Missing initialization of field - inserted by OR 4/04
B(1)=0.
B(2)=0.
B(3)=0.
B_(1)=0.
B_(2)=0.
B_(3)=0.
ELSE
! calculate the Bz component
az = ((z-zz(i))/(zz(2)-zz(1)))
ar = ((r-rr(j))/(rr(2)-rr(1)))
a0=az*(B_field_z(i+1,j) -B_field_z(i,j)) +B_field_z(i,j)
a1=az*(B_field_z(i+1,j+1)-B_field_z(i,j+1))+B_field_z(i,j+1)
B(3) = (ar*(a1-a0)+a0)
IF (r .gt. 0.) THEN
! calculate the Bx,By components
a0=az*(B_field_r(i+1,j) -B_field_r(i,j)) +B_field_r(i,j)
a1=az*(B_field_r(i+1,j+1)-B_field_r(i,j+1))+B_field_r(i,j+1)
B(2) = (ar*(a1-a0)+a0)/r
IF (x(3) .LT. 0.) B(2)= -B(2)
B(1) = B(2)*x(1)
B(2) = B(2)*x(2)
c
c Check azimuth correction B=B_0+(az_az0[rad])*az_corr[T/rad]
c
c Uncomment !f for forward-only azim corr.
c uncomment !! to "cancel" azim corr.
!f if(forwd) then
! az0 = 0.d0 ! OR - 7/04
! az0 = -0.04d0 ! OR - 7/04 az-off
!f az0 = -0.025d0 ! OR - 7/04
! az_corr = -0.36d1
!f az_corr = 0.26d1 ! az-off
! az_corr = 0.26d1/5.003d0 ! not enough
! az_corr = 0.d1
! az_corr2 = -0.1
!f B(3) = B(3)+(azim-az0)*az_corr
! 1 +(azim-az0)**2*az_corr2
! B(3) = B(3)*(1+(azim-az0)*az_corr)! not enough
!f B(2) = B(2)+(azim-az0)*az_corr
!! else
! az0 = 0.d0 ! OR - 7/04
! az0 = -0.04d0 ! OR - 7/04 az-off
!! az0 = -0.025d0 ! OR - 7/04
! az_corr = -0.36d1
!! az_corr = 0.26d1 ! az-off
! az_corr = 0.26d1/5.003d0 ! not enough
! az_corr = 0.d0
! az_corr2 = -0.1
!! B(3) = B(3)+(azim-az0)*az_corr
! 1 +(azim-az0)**2*az_corr2
! B(3) = B(3)*(1+(azim-az0)*az_corr)! not enough
!! B(2) = B(2)+(azim-az0)*az_corr
!f end if
c
c New azim corr
c
! azcor = .true.
c if(B_tht.lt.0) then ! B_tht = -103.15 deg = perp
c azcor = .true. ! = -90 - 13.15 (theta_e)
c else if(B_tht.gt.0) then ! B_tht = 166.85 deg = para
azcor = .false. ! = 180 - 13.15
c end if
!no fwd if(azcor.and.forwd) then
if(azcor) then
az0 = -0.025d0 ! OR - 7/04
az_corr = 0.26d1 ! az-off
! az_corr2 = -0.1
B_corr = (azim-az0)*az_corr
if(flag_az.eq.1.and.forwd) then
B_scale = 5.003/(5.003+abs(B_corr))
! B_scale = B(3)/(B(3)+B_corr) ! B(3) = B_max = 5.003 the 1st. time
flag_az = 0
else
B_scale = 1.d0
end if
B(3) = B(3)+B_corr
B(3) = B(3)*B_scale
! 1 +(azim-az0)**2*az_corr2 ! quadratic
B(2) = B(2)+B_corr
B(2) = B(2)*B_scale
end if
!no fwd end if
! transform B field to lab. system
B_(1) = B(1)
B_(2) = - B_stht*B(3) + B_ctht*B(2)
B_(3) = B_ctht*B(3) + B_stht*B(2)
ELSE
B_(1) = 0.
B_(2) = - B_stht*B(3)
B_(3) = B_ctht*B(3)
ENDIF
ENDIF
RETURN
END
*------------------------------------------------------------------------------
* solve the differential equation of the particle
*
SUBROUTINE trgDeriv(u,dudt,spect)
IMPLICIT NONE
REAL*8 u(9),dudt(9)
* -- calculate the derivatives du(i)/dt for the runke kutta routine
*
* Parameter:
* u I : actual coordinate vector
* u(1,2,3) I : x, y, z
* u(4,5,6) I : dx/dt, dy/dt, dz/dt
* u(7,8,9) I : integral Bxdx, Bydy, Bzdz
* dudt O : derivative du/dt
* dudt(1,2,3) : dx/dt, dy/dt, dz/dt
* dudt(4,5,6) : d^2xdt^2, d^2ydt^2, d^2zdt^2
* dudt(7,8,9) : B x v
* spect I : -1 for e spectrometer, +1 for p spectrometer
REAL*8 factor
COMMON /trgConversionFactor/factor
INTEGER spect
REAL*8 B(3)
CALL trgField (u,B,spect)
! These are just the velocities
dudt(1) = u(4)
dudt(2) = u(5)
dudt(3) = u(6)
! This is just (v_vec X B_vec)
dudt(7) = u(5)*B(3) - u(6)*B(2)
dudt(8) = u(6)*B(1) - u(4)*B(3)
dudt(9) = u(4)*B(2) - u(5)*B(1)
! This is just (v_vec X B_vec) * factor
dudt(4) = dudt(7)*factor
dudt(5) = dudt(8)*factor
dudt(6) = dudt(9)*factor
RETURN
END
SUBROUTINE trgRK4(u0,u1,h,spect)
IMPLICIT NONE
REAL*8 u0(6),u1(6),h
* -- Fourth-order Runge-Kutta from Numerical Recipes book
* for tracking through the target field
*
* Parameter:
* u0 I : input coordinate vector
* u1 O : output coordinate vector
* u(1,2,3) : x, y, z
* u(4,5,6) : dx/dt, dy/dt, dz/dt
* h I : time step
* spect I: -1 for e spectrometer, +1 for p spectrometer
INTEGER i,spect
REAL*8 ut(6),dudt(9),dut(9),dum(9),hh,h6
hh=h*0.5
h6=h/6.
CALL trgDeriv(u0,dudt,spect)
DO i=1,6
ut(i) = u0(i) + hh*dudt(i)
ENDDO
CALL trgDeriv(ut,dut,spect)
DO i=1,6
ut(i) = u0(i) + hh*dut(i)
ENDDO
CALL trgDeriv(ut,dum,spect)
DO i=1,6
ut(i) = u0(i) +h*dum(i)
dum(i)= dut(i) +dum(i)
ENDDO
CALL trgDeriv(ut,dut,spect)
DO i=1,6
u1(i)=u0(i)+h6*(dudt(i)+dut(i)+2.*dum(i))
ENDDO
RETURN
END
SUBROUTINE trgRK4Bdl(u0,u1,h,spect)
IMPLICIT NONE
REAL*8 u0(9),u1(9),h
* -- Fourth-order Runge-Kutta from Numerical Recipes book
* for tracking through the target field (incl. B/dl calculation)
*
* Parameter:
* u0 I : input coordinate vector
* u1 O : output coordinate vector
* u(1,2,3) : x, y, z
* u(4,5,6) : dx/dt, dy/dt, dz/dt
* u(7,8,9) : integral Bxdx, Bydy, Bzdz
* h I : time step
* spect I: -1 for e spectrometer, +1 for p spectrometer
INTEGER i,spect
REAL*8 ut(9),dudt(9),dut(9),dum(9),hh,h6
hh=h*0.5
h6=h/6.
CALL trgDeriv(u0,dudt,spect)
DO i=1,9
ut(i) = u0(i) + hh*dudt(i)
ENDDO
CALL trgDeriv(ut,dut,spect)
DO i=1,9
ut(i) = u0(i) + hh*dut(i)
ENDDO
CALL trgDeriv(ut,dum,spect)
DO i=1,9
ut(i) = u0(i) +h*dum(i)
dum(i)= dut(i) +dum(i)
ENDDO
CALL trgDeriv(ut,dut,spect)
DO i=1,9
u1(i)=u0(i)+h6*(dudt(i)+dut(i)+2.*dum(i))
ENDDO
RETURN
END
C------------------------------------------------------------------------------
!
! Tracking of charged particles through the target field.
!
! Author: Glen Warren, December 1999
!
! Much of the code is taken from Markus Muehlbauer's work on the Hall C replay
! engine.
!
C------------------------------------------------------------------------------
! subroutine track_from_tgt(x,y,z,dx,dy,mom,mass,spect,ok)
subroutine track_from_tgt(x,y,z,dx,dy,mom,mass,spect,ok,bdl)
C Given vertex coordinates, momentum and mass, tracks particle through a
C field to field-free region 100 cm from target. It is assumed that the
C code that calls this routine will reconstruct the track to z=0.
C
C x,y,z,dx,dy coordinates follow COSY a la Hall C:
C z = into spectrometer
C x = down (direction of increasing momentum)
C y = z cross x.
C dx = dx/dz
C dy = dy/dz
C
C coordinates for tracking are:
C vT(1,2,3) are the position in X,Y,Z [cm]
C vT(4,5,6) are the velocity in the X,Y,Z direction [cm/ns].
implicit none
real*8 x,y,z,dx,dy ! in: initial coords. out: coords of image track
real*8 mom ! momentum (MeV). (mom<0 for e-, mom>0 for p,d)
real*8 mass ! mass of particle (MeV)
integer spect
logical ok
real*8 cc ! speed of light in cm/ns
parameter (cc = 29.9792458)
real*8 vel ! velocity of particle [cm/ns]
real*8 eng ! energy of particle
! real*8 vT(6)
real*8 vT(9) ! OR - 4/04
real bdl ! OR - 4/04
logical forwd ! OR - 4/04
common/fwd/forwd ! OR - 4/04
integer flag_az ! OR - 7/04
common /azimuth/flag_az ! OR 7-04
forwd = .false. ! OR - 4/04
flag_az = 0 ! OR - 7/04
c write(*,*) 'from target',spect
c write(*,*) mom,mass
c call print_coord2('init track, beam: ',x,y,z,dx,dy)
vel = abs(mom)/sqrt(mom**2+mass**2)*cc
eng = sign(1.d00,mom)*sqrt(mom**2+mass**2)
c
c
vT(1) = x
vT(2) = y
vT(3) = z
vT(6) = vel/sqrt(1+dx**2+dy**2)
vT(4) = dx*vT(6)
vT(5) = dy*vT(6)
! for debugging, run track first to z=0.
ok = .true.
call trgTrackToPlane(vT,eng,1.d00,0.d00,0.d00,1.d00,0.d00,ok,spect)
c write(*,*) ' debug call to trgtracktoplane ' ,ok,spect
c call print_coord3('init track, z=0:',vt)
! track through magnetic field to z=100 cm plane
ok = .true.
call trgTrackToPlane(vT,eng,1.d00,0.d00,0.d00,1.d00,-100.d00,ok,spect)
c write(*,*) ' after z=-100. call',ok,spect
c call print_coord3('init track, z=100:',vt)
! translate back into SIMC variables
x = vT(1)
y = vT(2)
z = vT(3)
dx = vT(4)/vT(6)
dy = vT(5)/vt(6)
return
end
C------------------------------------------------------------------------------
! subroutine track_to_tgt(delta,y,dx,dy,frx,fry,mom,mass,ctheta,
! > stheta,spect,ok,xfp,xpfp,yfp,ypfp)
! subroutine track_to_tgt(delta,y,dx,dy,frx,fry,mom,mass,ctheta,
! > stheta,spect,ok,xfp,xpfp,yfp,ypfp,xtgt) ! OR 4/04
subroutine track_to_tgt(delta,y,dx,dy,frx,fry,mom,mass,ctheta,
> stheta,spect,ok,xfp,xpfp,yfp,ypfp,xtgt,bdl) ! OR 4/04
implicit none
real*8 delta,y,dx,dy ! in: first guess reconstructed coords.
! out: final reconstructed coords.
real*8 frx ! raster horizontal position (points right)
real*8 fry ! raster vertical position (points up)
real*8 mom ! momentum (MeV). (mom<0 for e-, mom>0 for p,d)
real*8 mass ! mass of particle (MeV)
real*8 ctheta,stheta ! cosine and sine of central spectrometer angle
real*8 delta_y,delta_z
real*8 xfp,yfp,xpfp,ypfp
integer spect
logical ok
! real*8 vT(6),vTx(6)
real*8 vT(9),vTx(9) ! OR - 4/04
real*8 xx,delx
real*8 xxd
integer*2 i,n
real*8 vel,cc,eng,mom_0
real*8 xtgt ! OR 4/04
real*8 bdl ! OR - 4/04
real*8 vtsave(6)
integer ii
logical forwd ! OR - 4/04
common/fwd/forwd ! OR - 4/04
integer flag_az ! OR - 7/04
common /azimuth/flag_az ! OR 7-04
parameter (cc=29.9792458d00)
forwd = .false. ! OR - 4/04
! flag_az = 1 ! OR - 7/04
! do reconstruction considering target field. Taken from gen_track.f from
! Markus Muehlbauer
!
bdl = 0.0 ! OR - 4/04
! bdl = -10.0 ! OR - 4/04
c write(*,*) 'to target',spect
c call print_coord1('after first mc_hms_recon',y,delta,dx,dy,fry,0.)
c
c initialize xtgt = x_tar - OR 4/04
c
xtgt = 0.d0
!
! copy vertical offset into another variable
xx = -fry
! use first call to mc_hms_recon as a first guess. Next trace back 100 cm
! to enter field free region and calculate vector for field tracking program.
vel = abs(mom)/sqrt(mom**2+mass**2)*cc
eng = sign(1.d00,mom)*sqrt(mom**2+mass**2)
mom_0 = mom/(1.d0+delta/100.d0)
c write(*,*) 'vel,eng,mom_0 = ',vel,eng,mom_0,y,dx,dy
vT(1) = -fry + 100.d00*dx
vT(2) = y + 100.d00*dy
vT(3) = 100.d00
vT(6) = vel/SQRT(1+dy**2+dx**2)
vT(4) = dx*vT(6)
vT(5) = dy*vT(6)
do ii=1,6
vtsave(ii)=vt(ii)
enddo
c call print_coord3('first track at z=100',vT)
! and track into the magnetic field to the beam plane (perp. to y)
c write(*,*) ' Before 1st call trgtracktoplane ',vt
ok = .true.
CALL trgTrackToPlane (vT,eng,1.d00,0.d00,-ctheta,stheta,-frx,ok,spect)
! write(*,*) ' Bdl - 1',vT(7),vT(8),vT(9),ok ! OR - 4/04
c write(*,*) ' 1st call trgtracktoplane ',-ctheta,stheta,frx,ok,vt
c call print_coord3( 'first track on beam',vT)
n = 0
delx = 1.
DO WHILE ((delx .GT. .05) .AND. (n .LT. 10) .AND. ok)
delx = abs(-fry-vT(1))
c write(*,*) '----------------'
c write(*,*) 'do while: ',n,delx
! track to the z=0 plane to find a correction for the x-offset
vTx(1) = -fry
DO i=2,6
vTx(i) = vT(i)
ENDDO
c call print_coord3( 'vT, beam',vT)
c call print_coord3( 'vTx, beam',vTx)
CALL trgTrackToPlane (vT, eng,1.d00,0.d00,0.d00,1.d00,0.d00,ok,spect)
! write(*,*) ' Bdl - 2',vT(7),vT(8),vT(9),ok ! OR - 4/04
CALL trgTrackToPlane (vTx,eng,1.d00,0.d00,0.d00,1.d00,0.d00,ok,spect)
! write(*,*) ' Bdl - 3',vTx(7),vTx(8),vTx(9),ok ! OR - 4/04
c call print_coord3( 'vT, z=0',vT)
c call print_coord3( 'vTx, z=0',vTx)
xx = xx+min(1.,max(-1.,(vTx(1)-vT(1))))
xxd = xx
! now find a better approximation
c call print_coord1('before mc_hms_recon',y,delta,dx,dy,-xxd,0.)
call simc_hms_recon (delta,dy,dx,y
> ,xxd,xfp,xpfp,yfp,ypfp)
mom = mom_0*(1.d0+delta/100.d0)
vel = abs(mom)/sqrt(mom**2+mass**2)*cc
eng = sign(1.d00,mom)*sqrt(mom**2+mass**2)
c call print_coord1('after mc_hms_recon',y,delta,dx,dy,-xxd,0.)
! drift to a field free region and calculate the velocities
vT(1) = xx + 100.d00*dx
vT(2) = y + 100.d00*dy
vT(3) = 100.d00
vT(6) = vel/SQRT(1+dy**2+dx**2)
vT(4) = dx*vT(6)
vT(5) = dy*vT(6)
! and track into the magnetic field to the beam plane (perp. to y)
c call print_coord3( 'before last track',vT)
c
c 10/20/2003 change frx to -frx which gives better resolution.
c
CALL trgTrackToPlane (vT,eng,1.d00,0.d00,-ctheta,stheta,-frx,ok,spect)
bdl = sqrt(vT(7)**2+vT(8)**2+vT(9)**2) ! OR - 4/04
! write(*,*) ' Bdl - 4',vT(7),vT(8),vT(9),ok,bdl ! OR - 4/04
c call print_coord3( 'after last track:',vT)
n = n+1
ENDDO
IF (delx .GT. .2) ok = .FALSE.
c if (.not. ok) write(*,*) ' failed',delx,fry,n,delta,dy,dx,y
c > ,xxd,xfp,xpfp,yfp,ypfp
! calculate the result in HMS coordinates
dy = vT(5)/vT(6)
dx = vT(4)/vT(6)
y = vT(2)
xtgt = vT(1) ! x_tar - OR 4/04
!x write(*,*) 'd_xyz_tar vs bdl',vtsave(5)-vT(5),vtsave(4)-vT(4),
!x 1 vtsave(6)-vT(6),bdl
!x write(*,*) 'xyz_tar vs bdl',vtsave(4),vt(4),vtsave(4)-vt(4),bdl
return
end
! routines to print coordinates given different input - GAW
subroutine print_coord1(txt,y,delta,dxdz,dydz,x,z)
implicit none
character*(*) txt
real*8 y,delta,dxdz,dydz,x,z
real*8 vT(6)
vt(1) = -x
vt(2) = y
vt(3) = z
vt(6) = 30/sqrt(1.+dxdz**2+dydz**2)
vt(4) = dxdz
vt(5) = dydz
c if (debug(6)) write(*,100) txt,vt(1),vt(2),vt(3),vt(4),
c > vt(5),sqrt(vt(4)**2+vt(5)**2+vt(6)**2)
write(*,100) txt,vt(1),vt(2),vt(3),vt(4),
> vt(5),sqrt(vt(4)**2+vt(5)**2+vt(6)**2)
100 format(a20,6f10.4)
return
end
subroutine print_coord2(txt,x,y,z,dxdz,dydz)
implicit none
character*(*) txt
real*8 y,dxdz,dydz,x,z
real*8 vT(6)
vt(1) = x
vt(2) = y
vt(3) = z
vt(6) = 30/sqrt(1.+dxdz**2+dydz**2)
vt(4) = dxdz
vt(5) = dydz
c if (debug(6)) write(*,100) txt,vt(1),vt(2),vt(3),vt(4),
c > vt(5),sqrt(vt(4)**2+vt(5)**2+vt(6)**2)
100 format(a20,6f10.4)
return
end
subroutine print_coord3(txt,vt)
implicit none
character*(*) txt
real*8 vT(6)
c if (debug(6)) write(*,100) txt,vt(1),vt(2),vt(3),vt(4)/vt(6),
c > vt(5)/vt(6),sqrt(vt(4)**2+vt(5)**2+vt(6)**2)
write(*,100) txt,vt(1),vt(2),vt(3),vt(4)/vt(6),
> vt(5)/vt(6),sqrt(vt(4)**2+vt(5)**2+vt(6)**2)
100 format(a20,6f10.4)
return
end