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LagetXsec1.f
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LagetXsec1.f
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c------------------------------------------------------------------------------
c
c this file is also callable from python
c
c uses aldo binary file for faster loading
c wrapper for SIMC
real*8 function LagetXsec(ev)
implicit none
include 'simulate.inc'
real*8 get_sigma_laget
real*8 e0_i, qmu2, omega, theta_cm, phi_x
real*8 p_perp2, pm, pm_par, pf, q_lab, Ep
real*8 pf_par, pf_par_cm, p_perp
real*8 beta_cm, gamma_cm, cos_phi, sin_gamma
type(event):: ev
e0_i = ev%EIN
qmu2 = ev%Q2
omega = ev%NU
q_lab = ev%Q
pf = ev%P%P
pm = ev%PM
pm_par = ev%PMPAR
Ep = ev%P%E
c calculate center of mass angles
beta_cm = q_lab/(Md + omega)
gamma_cm = 1./sqrt(1. - beta_cm**2)
p_perp2 = pm**2 - pm_par**2
p_perp = sqrt(p_perp2)
pf_par = sqrt( pf**2 - p_perp2)
pf_par_cm = gamma_cm*pf_par - gamma_cm*beta_cm*Ep
if (pf_par_cm .eq. 0.) theta_cm = pi/2.
if (pf_par_cm .gt. 0.) theta_cm = atan( p_perp/ pf_par_cm)
if (pf_par_cm .lt. 0.) theta_cm = pi + atan( p_perp/ pf_par_cm)
c calculate phi_c from the unit vectors
sin_gamma = 1. - (ev%uq%x*ev%up%x+ev%uq%y*ev%up%y+ev%uq%z*ev%up%z)**2
if (sin_gamma.lt.0) then
write(6,'(1x,''WARNING: LagetXsec: sin_gamma = '',f10.3)')
> sin_gamma, nevent
sin_gamma = 0.0
endif
sin_gamma = sqrt(sin_gamma)
cos_phi = 0.0
if (sin_gamma.ne.0) cos_phi=
> ( ev%uq%y*(ev%uq%y*ev%up%z-ev%uq%z*ev%up%y)
> - ev%uq%x*(ev%uq%z*ev%up%x-ev%uq%x*ev%up%z))
! sin_gamma = norm of uq x up
! sqrt(1.-ev%uq%z**2) = norm of uq x uk, uk unitvector of incident beam
cos_phi = cos_phi / sin_gamma / sqrt(1.-ev%uq%z**2)
if (abs(cos_phi).gt.1.) then !set to +/-1, warn if >1.d-10
cos_phi = sign(1.0,cos_phi)
if ( (abs(cos_phi)-1.) .gt. 1.d-10) write(6,*)
> 'WARNING: LagetXsect gets cos_phi = ',cos_phi
endif
phi_x = acos(cos_phi)
c call to get the cross section
c convert fm**2 to ub fir simc: factor 1e4
LagetXsec = get_sigma_laget( e0_i,qmu2,omega,theta_cm,phi_x)*1.d4
! print *, e0_i,qmu2,omega,theta_cm,phi_x, LagetXsec
return
end
c------------------------------------------------------------------------------
c
c calculate interpolated cross sections for a given
c kinematics using j.m.laget's reponse function
c
c this code has been extraced from mceep
c same as Laget_Xsec.f but one can select the calculation of FSi
c with the parametere do_fsi: = 1 yes, =0 no
c------------------------------------------------------------------------------
c
c
subroutine init_laget( datadir, do_fsi, interpol_type,
> save_data, use_binary_file)
integer n_dat_dir, do_fsi, interpol_type
integer save_data, use_binary_file
character*100 dat_dir
character*(*) datadir
logical save_grid, use_binary
common/fc__control_c/ save_grid, use_binary
integer ioutside_count
common /int_control/ioutside_count
common/fc__datdir_c/ dat_dir
common/fc__datdir_i/ n_dat_dir
real*8 xm_e,xm_p,xm_n,xm_d,xmd,spn,dpn,xme2,xmn2,xmp2,xmd2,spn2
common/fc__some_mas / dpn,xmd,spn2,xmd2,xmn2
c laget data grid
common/fc__grid_sig / sig_l,sig_t,sig_lt,sig_tt
common/fc__laget_mod/ laget_intp,laget_pwia,laget_fsi,laget_mec
real*8 sig_l(100,500,91),sig_t(100,500,91)
real*8 sig_lt(100,500,91), sig_tt(100,500,91)
data xm_e / 510.99890d-03 /, xm_p / 938.27200d+00 /,
+ xm_n / 939.56533d+00 /, xm_d / 187.56128d+01 /
c
c laget calculation selectors
c
integer laget_intp,laget_pwia,laget_fsi,laget_mec
integer error
integer i1, i2
c
c
c ------------------------------------------------------------------------
c d(e,e'p)n laget unpolarized response functions
c ------------------------------------------------------------------------
c
integer lin, log, scat_neutron, scat_proton, scat_both
integer fsi, no_fsi, mec, no_mec
parameter (lin=1)
parameter (log = 2)
parameter (scat_neutron = 0)
parameter (scat_proton = 1)
parameter (scat_both = 2)
parameter (no_fsi = 0)
parameter (fsi = 1)
parameter (no_mec = 0)
parameter (mec = 1)
* outside error counter
ioutside_count = 0
*---- particle masses and relevant combinations
xmd = xm_d
*- dimension 1 combinations
spn = xm_n + xm_p
dpn = xm_n - xm_p
*- dimension 2 combinations
xme2 = xm_e * xm_e
xmd2 = xm_d * xm_d
xmp2 = xm_p * xm_p
xmn2 = xm_n * xm_n
spn2 = spn * spn
if (save_data .eq. 1) then
save_grid = .True.
else
save_grid = .False.
endif
if (use_binary_file .eq. 1) then
use_binary = .True.
else
use_binary = .False.
endif
c make sure there is non nonsense
if (save_grid) use_binary = .False.
if (use_binary) save_grid = .False.
c
c standard configuration
c
c use log. interpolation (better)
c
laget_intp = interpol_type
laget_pwia = scat_both
laget_fsi = do_fsi
laget_mec = no_mec
c
c setup data directory name
c
call fs__nospac(datadir, i1, i2)
dat_dir = datadir(i1:i2)
n_dat_dir = len(dat_dir)
write(*,'(a)') ' start loading the data grid...'
call fs__grid_load(sig_l,sig_t,sig_lt,sig_tt, error)
if (error .ne. 0) then
write(*,'(a)') ' problem reading of data grid load !'
write(*,'(a)') ' I would not continue !'
return
endif
write(*,'(a)') ' end of data grid load !'
c
return
end
c------------------------------------------------------------------------------
c
c this file is also callable from python
c
real*8 function get_sigma_laget(e0_i,qmu2,omega,theta_cm,phi_x)
C------------------------------------------------------------------------------
c purpose:
c get (e,e'n) cross sections and polarizations
c according to choices made in subroutine phys_choice.
c
c coincidence cross sections (sigma_eep) are returned
c with the following units:
c fm^2 sr^-2 mev^-1 (bound state)
c fm^2 sr^-2 mev^-1 (mev/c)^-1 (continuum)
c note that the continuum cross section should be
c differential in the hadron momentum (not kinetic energy)
c since it is the momentum which is randomly sampled.
c the recoil factor for the continuum case is equal to
c the ejectile total energy divided by the momentum.
c division by this factor converts the cross section
c from being differential in energy (as, for example
c is the case for the deforest cc1 cross section) to
c differential in momentum.
c ---------------------------------------------------------------------
c
c
implicit none
c
c arguments
c
real*8 e0_i,qmu2,omega,theta_cm,phi_x
c
c return value
c
real*8 sigma_eep
c grid
common/fc__grid_sig / sig_l,sig_t,sig_lt,sig_tt
c
c laget grid
real*8 sig_l(100,500,91),sig_t(100,500,91)
real*8 sig_lt(100,500,91), sig_tt(100,500,91)
c
real*8 hbarc, pi
parameter (hbarc = 197.3286d0)
parameter (pi=3.14159265359d0)
c
c ------------------------------------------------------------------------
c laget unpolarized response functions (j.-m. laget)
c ------------------------------------------------------------------------
c
call fs__laget_xsec(sigma_eep,e0_i,qmu2,omega,theta_cm,phi_x,
+ sig_l,sig_t,sig_lt,sig_tt)
get_sigma_laget = sigma_eep * 1.d-4 ! ub -> fm^2
return
end
c
c------------------------------------------------------------------------------
c
subroutine fs__laget_xsec(xsec,p_bea,g_mas,g_ene,p_tgs,p_phi,
+ sig_l,sig_t,sig_lt,sig_tt)
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c author: e. voutier
c date: october 2005
c purpose: determine d(e,e'p) cross section at current kinematics
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c calculate the d(e,e'p) cross section for a selected kinematics from an
c input data grid via
c the interpolation procedure specified by the user via the laget_intp
c parameter (1 for linear, 2 for logarythmic in recoil momentum).
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c input variables :
c
c p_bea 3-momentum of the electron beam (mev/c)
c g_mas quadrimomentum transfer (mev^2)
c g_ene energy transfer (mev)
c p_tgs proton angle in the center of mass frame (rd)
c p_phi out-of-plane angle of the proton (rd)
c sig_l array of the longitudinal cross sections
c sig_t array of the transverse cross sections
c sig_lt array of the longitudinal-transverse cross sections
c sig_tt array of the transverse-transverse cross sections
c
c passed via common :
c
c laget_intp interpolation index
c
c output variables :
c
c xsec actual d(e,e'p) cross section (µb.mev-1.sr-2)
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
implicit none
include 'grid_par.inc'
integer laget_ps_fail,laget_grid_fail
integer*4 laget_intp,laget_pwia,laget_fsi,laget_mec
real*8 ff__intrpol,ff__intrlog
real*8 xsec,p_bea,g_mas,g_ene,p_tgs,p_phi
real*8 sig_l(nq2,nom,nta),sig_t(nq2,nom,nta),
+ sig_lt(nq2,nom,nta),
+ sig_tt(nq2,nom,nta)
real*8 p_cms,e_cms,p_ara,p_erp,p_mom,p_ene
real*8 s_cms,w_cms,g_ama,g_abe
real*8 e_sca,p_sca,c_tet
real*8 e_bea
real*8 g_mom
real*8 xm_e,xm_p,xm_n,xm_d,xmd,spn,dpn,xme2,xmn2,xmp2,xmd2,spn2
real*8 eps,epsp,flux,jcob,sigl,sigt,siglt,sigtt
real*8 xb_min,xb_max,om_min,om_max
real*8 cfin,pi
common/fc__some_mas / dpn,xmd,spn2,xmd2,xmn2
common/fc__sigmas / sigl,sigt,siglt,sigtt
c common/fc__grid_par / nq2,nom,nta
common/fc__laget_cnt/ laget_ps_fail,laget_grid_fail
common/fc__laget_mod/ laget_intp,laget_pwia,laget_fsi,laget_mec
integer ioutside_count
common /int_control/ioutside_count
data xm_e / 510.99890d-03 /, xm_p / 938.27200d+00 /,
+ xm_n / 939.56533d+00 /, xm_d / 187.56128d+01 /
data cfin / 137.03599d+00 /
pi = dacos( -1.d+00 )
*---- particle masses and relevant combinations
xmd = xm_d
*- dimension 1 combinations
spn = xm_n + xm_p
dpn = xm_n - xm_p
*- dimension 2 combinations
xme2 = xm_e * xm_e
xmd2 = xm_d * xm_d
xmp2 = xm_p * xm_p
xmn2 = xm_n * xm_n
spn2 = spn * spn
*---- initialisations
xsec = 0.d+00
sigl = 0.d+00
sigt = 0.d+00
siglt = 0.d+00
sigtt = 0.d+00
*---- beam energy
e_bea = dsqrt( p_bea * p_bea + xme2 )
*---- phase space restriction
xb_min = e_bea * dsqrt(g_mas) +
+ p_bea*dsqrt( g_mas + 4.d+00*xme2 )
xb_min = dsqrt(g_mas) * xb_min / xm_p /
+ ( 4.d+00*p_bea*p_bea - g_mas )
xb_max = xm_d * g_mas / xm_p / ( g_mas + spn2 - xmd2 )
om_min = 0.5d+00 * g_mas / xm_p / xb_max
om_max = 0.5d+00 * g_mas / xm_p / xb_min
if( (g_ene.lt.om_min).or.(g_ene.gt.om_max) ) then
laget_ps_fail = laget_ps_fail + 1
write (6,*) 'parameres : ', xb_min, xb_max, om_min, om_max
write (6,*) 'Impossible Kinematics '
write (6,*) 'Beam Energy : ', e_bea
write (6,*) 'Q2 : ', g_mas
write (6,*) 'omega : ', g_ene
write (6,*) 'theta-p :', p_tgs
write (6,*) 'phi-p : ', p_phi
go to 1
endif
*---- kinematics of the current event
*- scattered electron
e_sca = e_bea - g_ene ! energy
p_sca = dsqrt( e_sca * e_sca - xme2 ) ! momentum
c_tet = e_bea * e_sca - xme2 - 0.5d+00 * g_mas
c_tet = c_tet / p_bea / p_sca ! polar angle
! cosinus
*- virtual photon
g_mom = dsqrt( g_mas + g_ene * g_ene ) ! momentum
*- center of mass frame
s_cms = xmd2 - g_mas + 2.d+00*xm_d*g_ene ! invariant squared
! mass
w_cms = dsqrt( s_cms ) ! invariant mass
g_ama = ( g_ene + xm_d ) / w_cms ! gamma
g_abe = g_mom / w_cms ! gamma * beta
*- knocked-out proton
p_cms = ( s_cms - spn2 ) * ( s_cms - dpn * dpn ) / s_cms
p_cms = 0.5d+00 * dsqrt( p_cms ) ! momentum in the
! cms frame
e_cms = dsqrt( p_cms * p_cms + xmp2 ) ! energy in the
! cms frame
p_ara = g_abe * e_cms + g_ama * p_cms * dcos( p_tgs )
p_erp = p_cms * dsin( p_tgs )
p_mom = dsqrt( p_ara*p_ara + p_erp*p_erp ) ! momentum in the
! lab frame
p_ene = g_ama * e_cms + g_abe * p_cms * dcos( p_tgs ) ! energy in the
! lab frame
*---- virtual photon polarization
eps = g_mom * g_mom * (1.d+00 - c_tet) / (1.d+00 + c_tet) / g_mas
eps = 1.d+00 / ( 1.d+00 + eps + eps )
epsp = dsqrt( 0.5d+00 * g_mas * eps * (1.d+00 + eps) ) / g_ene
*---- virtual photon flux
flux = 0.5d+00 * e_sca * g_mom / pi / pi / e_bea / g_mas / cfin
flux = flux / ( 1.d+00 - eps )
*---- calculation of the center of mass to the lab frame jacobian
jcob = g_ene + xm_d - ( p_ene * g_mom * p_ara / p_mom / p_mom )
jcob = w_cms * p_mom / p_cms / dabs( jcob )
*---- interpolation of the individual response functions
if( laget_intp.eq.1 ) then
*- linear interpolation in angle
sigl = ff__intrpol( sig_l,g_mas,g_ene,p_tgs)
sigt = ff__intrpol( sig_t,g_mas,g_ene,p_tgs)
siglt = ff__intrpol(sig_lt,g_mas,g_ene,p_tgs)
sigtt = ff__intrpol(sig_tt,g_mas,g_ene,p_tgs)
else
*- logarythmic interpolation in recoil momentum
sigl = ff__intrlog( sig_l,g_mas,g_ene,p_tgs)
sigt = ff__intrlog( sig_t,g_mas,g_ene,p_tgs)
siglt = ff__intrlog(sig_lt,g_mas,g_ene,p_tgs)
sigtt = ff__intrlog(sig_tt,g_mas,g_ene,p_tgs)
endif
*- safety check to protect against overflow (nan)
if((sigl.eq.0.d+00).and.(sigt.eq.0.d+00).and.(siglt.eq.0.d+00)
+ .and.(sigtt.eq.0.d+00)) then
if (ioutside_count .le. 100) then
write (6,*) 'all is zero, interpolation problem !'
endif
go to 1
endif
*---- differential cross section (µb.mev-1.sr-2)
xsec = flux * jcob
+ * (
+ sigt
+ + eps * ( sigl + sigtt * dcos(p_phi+p_phi) )
+ - epsp * siglt * dcos(p_phi)
+ )
1 return
end
c
c------------------------------------------------------------------------------
c------------------------------------------------------------------------------
c
subroutine fs__grid_load(sig_l,sig_t,sig_lt,sig_tt, error)
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c author: e. voutier
c date: october 2005
c purpose: load the partial cross section data grid
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c load into the common area the response functions of the d(e,e'p)
c reaction determined in
c the framework of jean-marc laget's formalism over a grid sampled
c in q2, omega and tta_p (the proton angle in the center of mass frame)
c in the range:
c
c 0.05 gev2 <= q2 <= 5.00 gev2 step = 0.05 gev2
c 0.01 gev <= omega <= 5.00 gev step = 0.01 gev
c 0 dg <= tta_p <= 180 dg step = 2 dg
c
c the physics options are specified according to the convention
c encoded in the parameters ipwia, ifsi,and imec that are part of the
c filename.
c
c 000 neutron contribution only : pwia
c 001 neutron contribution only : pwia + mec
c 010 neutron contribution only : pwia + fsi
c 011 neutron contribution only : pwia + fsi + mec
c 100 proton contribution only : pwia
c 101 proton contribution only : pwia + mec
c 110 proton contribution only : pwia + fsi
c 111 proton contribution only : pwia + fsi + mec
c 200 neutron + proton contrib. : pwia
c 201 neutron + proton contrib. : pwia + mec
c 210 neutron + proton contrib. : pwia + fsi
c 211 neutron + proton contrib. : pwia + fsi + mec
c
c the physics option parameters are passed via common :
c
c laget_pwia
c laget_fsi
c laget_mec
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c output variables :
c
c sig_l array of the longitudinal cross sections
c sig_t array of the transverse cross sections
c sig_lt array of the longitudinal-transverse cross sections
c sig_tt array of the transverse-transverse cross sections
c
c these photoproduction like cross sections are connected to the usual
c response functions via simple kinematic factors.
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
implicit none
logical save_grid, use_binary
common/fc__control_c/ save_grid, use_binary
common/fc__datdir_c/ dat_dir
common/fc__datdir_i/ n_dat_dir
common/fc__laget_mod/ laget_intp,laget_pwia,laget_fsi,laget_mec
character*4 q2val,omval
character*1 pw,fs,mc
character*300 fname,tmpnam
character*100 dat_dir
character*50 subdir
integer error, i1, i2
integer*4 n_q2,n_om,n_ta, n_tot
integer*4 i_q2,i_om, i_count
integer*4 nchar,n_dat_dir
integer*4 laget_intp,laget_pwia,laget_fsi,laget_mec
c parameter ( n_q2 = 100 )
c parameter ( n_om = 500 )
c parameter ( n_ta = 91 )
include 'grid_par.inc'
real*8 sig_l(nq2,nom,nta), sig_t(nq2,nom,nta),
+ sig_lt(nq2,nom,nta), sig_tt(nq2,nom,nta)
real*8 q2_step,om_step,ta_step
real*8 g_mas,g_ene
real frac
common/fc__grid_deu / q2_step,om_step,ta_step
*- grid parameters
q2_step = 5.d+06 / dfloat(nq2)
om_step = 5.d+03 / dfloat(nom)
ta_step = dacos(-1.d+00) / dfloat(nta-1)
write(pw,'(i1)') laget_pwia
write(fs,'(i1)') laget_fsi
write(mc,'(i1)') laget_mec
*---- user selection of the physics grid
*- no fsi nor mec
if(laget_fsi.eq.0) then
subdir = 'deut_laget/pwia/'
*- with fsi and mec
elseif(laget_mec.eq.1) then
subdir = 'deut_laget/pful/'
*- with fsi only
else
subdir = 'deut_laget/pfsi/'
endif
write(6,*) 'interpolate data from : '//subdir
*---- load the physics selected grid
if (use_binary) then
call fs__nospac(subdir,i1, i2)
tmpnam = subdir(i1:i2)//'grid.bin'
call fs__nospac(tmpnam, i1,i2)
print *, 'using binary grid : '//tmpnam(i1:i2)
open(10, file = tmpnam(i1:i2), form = 'unformatted',
> status = 'old', err = 998)
read(10, err = 999) sig_l,sig_t,sig_lt,sig_tt
error = 0
close(10)
return
endif
n_tot = nq2 * nom
i_count = 0
do i_q2=1,nq2
g_mas = q2_step * dfloat(i_q2)
write(q2val,'(f4.2)') 1.d-06 * g_mas
do i_om=1,nom
g_ene = om_step * dfloat(i_om)
write(omval,'(i4)') idint(g_ene)
if(idint(g_ene).lt.10) then
omval = '000'//omval(4:4)
elseif(idint(g_ene).lt.100) then
omval = '00'//omval(3:4)
elseif(idint(g_ene).lt.1000) then
omval = '0'//omval(2:4)
endif
tmpnam = dat_dir(1:n_dat_dir)//'/'//subdir//
+ 'q2_'//q2val//'_om_'//omval//
+ '_'//pw//fs//mc//'.dat'
call fs__squeeze(tmpnam,fname,nchar)
call fs__read_data
+ (i_q2,i_om,sig_l,sig_t,sig_lt,sig_tt,fname, error)
if (error .ne. 0) then
return ! error loading data
endif
i_count = i_count + 1
frac = float(i_count)/n_tot*100
if (mod(frac, 5.) .lt. 1.e-5) then
print *, frac, ' % read'
endif
enddo
enddo
print *, 'save_grid = ', save_grid, ' use binary = ', use_binary
if (save_grid) then
call fs__nospac(subdir,i1, i2)
tmpnam = subdir(i1:i2)//'grid.bin'
call fs__nospac(tmpnam,i1,i2)
print *, 'saving binary data grid in : '//tmpnam(i1:i2)
open(10, file = tmpnam(i1:i2), form = 'unformatted')
write(10) sig_l,sig_t,sig_lt,sig_tt
close(10)
endif
return
998 print *, 'cannot open : '//tmpnam(i1:i2)
error = -1
return
999 print *, 'read error from: '//tmpnam(i1:i2)
error = -2
return
end
c
c-----------------------------------------------------------------------------
c-----------------------------------------------------------------------------
c
subroutine fs__read_data(ix,iy,xl,xt,xlt,xtt,fname,error)
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c author: e. voutier
c date: october 2005
c purpose: open and read a basic data file with specified name
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c utility tool for opening the cross section data base of jean-marc laget
c and load partial cross sections into specified arrays.
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c input variables :
c
c ix quadrimomentum transfer index
c iy energy transfer index
c fname data file name
c
c output variables :
c
c xl array of the longitudinal cross sections
c xt array of the transverse cross sections
c xlt array of the longitudinal-transverse cross sections
c xtt array of the transverse-transverse cross sections
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
implicit none
include 'grid_par.inc'
character*(*) fname
integer*4 ix,iy,iz
integer error
real*8 xlt(nq2,nom,nta),xtt(nq2,nom,nta)
real*8 xl(nq2,nom,nta),xt(nq2,nom,nta)
open(10,file=fname,status='old',err = 998)
error = 0
do 100 iz = 1,nta
100 read(10,'(4(2x,e16.9))',err = 999)
+ xl(ix,iy,iz),xt(ix,iy,iz),xlt(ix,iy,iz),xtt(ix,iy,iz)
c 100 read(10,*,err = 999)
c + xl(ix,iy,iz),xt(ix,iy,iz),xlt(ix,iy,iz),xtt(ix,iy,iz)
c close(10)
return
998 write (6,*) ' cannot open : ', fname
error = -1
return
999 write (6,*) ' error reading : ', fname
error = -2
return
end
c
c-----------------------------------------------------------------------------
c-----------------------------------------------------------------------------
c
double precision function ff__intrpol(xdat,x,y,z)
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c author: e. voutier
c date: october 2005
c purpose: 3-dimensional linear interpolation
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c determine the selected partial cross section (response function) via a
c 3-dimensional linear interpolation.
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c input variables :
c
c xdat 3-dimensional array of cross section data
c x quadrimomentum transfer
c y energy transfer
c z proton angle in the enter of mass frame
c
c output variable :
c
c ff__intrpol interpolated value of the cross section at (x,y,z)
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
implicit none
include 'grid_par.inc'
integer*4 ix1,iy1,iz1,ix2,iy2,iz2
real*8 q2_step,om_step,ta_step
real*8 xdat(nq2,nom,nta),x,y,z
real*8 s_111,s_121,s_112,s_122,s_211,s_221,s_212,s_222
real*8 ax,ay,az,axy,axz,ayz,axyz
integer ioutside_count
common /int_control/ioutside_count
common/fc__grid_deu / q2_step,om_step,ta_step
c common/fc__grid_par / nq2,nom,nta
ff__intrpol = 0.d+00
*---- lower array index
ix1 = idint( x / q2_step )
iy1 = idint( y / om_step )
iz1 = idint( z / ta_step ) + 1
*---- upper array index
ix2 = ix1 + 1
iy2 = iy1 + 1
iz2 = iz1 + 1
*- correction for grid boundaries
if(ix1.eq.nq2) ix2 = ix1
if(iy1.eq.nom) iy2 = iy1
if(iz1.eq.nta) iz2 = iz1
if( (ix1.lt.1).or.(ix2.gt.nq2).or.(iy1.lt.1).or.(iy2.gt.nom) )then
if (ioutside_count .le. 100) then
ioutside_count = ioutside_count + 1
write(6,*) ioutside_count, ' cross section grid out of range : q2, qomega', x, y
endif
ff__intrpol = 0.d0
return
endif
ax = ( x - q2_step * dfloat(ix1) ) / q2_step
ay = ( y - om_step * dfloat(iy1) ) / om_step
az = ( z - ta_step * dfloat(iz1-1) ) / ta_step
axy = ax * ay
axz = ax * az
ayz = ay * az
axyz = ax * ay * az
s_111 = xdat(ix1,iy1,iz1)
s_121 = xdat(ix1,iy2,iz1)
s_112 = xdat(ix1,iy1,iz2)
s_122 = xdat(ix1,iy2,iz2)
s_211 = xdat(ix2,iy1,iz1)
s_221 = xdat(ix2,iy2,iz1)
s_212 = xdat(ix2,iy1,iz2)
s_222 = xdat(ix2,iy2,iz2)
ff__intrpol = s_111 *
+ ( 1.d+00 - ax - ay - az + axy + axz + ayz - axyz )
+ + s_121 *
+ ( ay - axy - ayz + axyz )
+ + s_112 *
+ ( az - axz - ayz + axyz )
+ + s_122 *
+ ( ayz - axyz )
+ + s_211 *
+ ( ax - axy - axz + axyz )
+ + s_221 *
+ ( axy - axyz )
+ + s_212 *
+ ( axz - axyz )
+ + s_222 *
+ ( axyz )
return
end
c
c-----------------------------------------------------------------------------
c-----------------------------------------------------------------------------
c
double precision function ff__intrlog(xdat,x,y,z)
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c author: e. voutier
c date: october 2005
c purpose: 3-dimensional interpolation (2 linear + 1 logarythmic)
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c determine the selected partial cross section (response function) via a
c 3-dimensional interpolation assuming a linear interpolation in x and y,
c and a logarythmic interpolation in f(z) corresponding to the recoil
c momentum.
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c input variables :
c
c xdat 3-dimensional array of cross section data
c x quadrimomentum transfer
c y energy transfer
c z proton angle in the center of mass frame
c
c output variable :
c
c ff__intrlog interpolated value of the cross section at (x,y,z)
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
implicit none
include 'grid_par.inc'
integer*4 ix1,iy1,iz1,ix2,iy2,iz2
real*8 q2_step,om_step,ta_step
real*8 xdat(nq2,nom,nta),x,y,z
real*8 ff__inlgcor
real*8 s_111,s_121,s_112,s_122,s_211,s_221,s_212,s_222
real*8 q2_1,q2_2,om_1,om_2,pt_1,pt_2
real*8 s_11,s_12,s_21,s_22
real*8 ax,ay,axy
common/fc__grid_deu / q2_step,om_step,ta_step
c common/fc__grid_par / nq2,nom,nta
integer ioutside_count
common /int_control/ioutside_count
ff__intrlog = 0.d+00
*---- lower array index
ix1 = idint( x / q2_step )
iy1 = idint( y / om_step )
iz1 = idint( z / ta_step ) + 1
*---- upper array index
ix2 = ix1 + 1
iy2 = iy1 + 1
iz2 = iz1 + 1
*- correction for grid boundaries
if(ix1.eq.nq2) ix2 = ix1
if(iy1.eq.nom) iy2 = iy1
if(iz1.eq.nta) iz2 = iz1
if( (ix1.lt.1).or.(ix2.gt.nq2).or.(iy1.lt.1).or.(iy2.gt.nom) )then
if (ioutside_count .le.100) then
write(6,*) ' cross section grid out of range '
endif
ff__intrlog = 0.d0
return
endif
q2_1 = q2_step * dfloat(ix1)
q2_2 = q2_step + dfloat(ix2)
om_1 = om_step * dfloat(iy1)
om_2 = om_step * dfloat(iy2)
pt_1 = ta_step * dfloat(iz1-1)
pt_2 = ta_step * dfloat(iz2-1)
s_111 = xdat(ix1,iy1,iz1)
s_121 = xdat(ix1,iy2,iz1)
s_112 = xdat(ix1,iy1,iz2)
s_122 = xdat(ix1,iy2,iz2)
s_211 = xdat(ix2,iy1,iz1)
s_221 = xdat(ix2,iy2,iz1)
s_212 = xdat(ix2,iy1,iz2)
s_222 = xdat(ix2,iy2,iz2)
s_11 = ff__inlgcor(q2_1,om_1,pt_1,z,pt_2,s_111,s_112)
s_12 = ff__inlgcor(q2_1,om_2,pt_1,z,pt_2,s_121,s_122)
s_21 = ff__inlgcor(q2_2,om_1,pt_1,z,pt_2,s_211,s_212)
s_22 = ff__inlgcor(q2_2,om_2,pt_1,z,pt_2,s_221,s_222)
ax = ( x - q2_1 ) / q2_step
ay = ( y - om_1 ) / om_step
axy = ax * ay
ff__intrlog = s_11 * ( 1.d+00 - ax - ay + axy )
+ + s_12 * ( ay - axy )
+ + s_21 * ( ax - axy )
+ + s_22 * ( axy )
return
end
c
c-----------------------------------------------------------------------------
c-----------------------------------------------------------------------------
c
double precision function ff__inlgcor(x,y,z1,z,z2,f1,f2)
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c author: e. voutier
c date: october 2005
c purpose: 1-dimensional logarythmic interpolation
c
c - - - - - - - - - - - - - - - - - - - - - - - - -
c
c perform a logarythmic interpolation between the points z1 and z2 for
c non-singular f1 value. singular cases are reduced to a linear
c interpolation and correspond to a nul f1 (phase space effects at the
c kinematic boundaries) and a sign change between f1 and f2.