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matrices.f90
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! Part of Zinc FE package. Author: John Blackburn
module matrices
! ----------------------------------------------------------------------
! Set up and evalute c,a,f,q,g
! Used by zinc, qpr, zpp and scan (eventually zmesh?)
! Gives access to c,a,f,q,g possibly by calling user functions cfun etc
! Uses explicit DLL loading for these functions
! The pointers below should be initialised by calling usersetup
! CONDITIONAL COMPILATION: For static linking, define staticzinc (CPP)
! ----------------------------------------------------------------------
! define staticzinc for static linkage
use common, only : EXPRLEN
use evaluate, only : Tlist
use ISO_C_BINDING, only : C_INTPTR_T
implicit none
save
! private (would like to but...)
! These are the procedures
public CCval,aaval,ffval,qqval,ggval
public usersetup,userfree,lookup,lookind,addtable
public getelinfo,getfaceinfo,fixnodes,readmatrix,wrtmatrix,freematrix
! Various data below is used. Hence all public for now
#ifdef STATICZINC
! Static interfaces
interface
function Cfun(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character label*(*)
integer nvar,istep,imax,jmax,kmax
double precision Cfun,x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function Cfun
function afun(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character label*(*)
integer nvar,istep,imax,jmax,kmax
double precision afun,x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function afun
function ffun(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character label*(*)
integer nvar,istep,imax,jmax,kmax
double precision x,y,z,ffun,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function ffun
function qfun(label,x,y,z,nx,ny,nz,ur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character(*) label
double precision qfun,x,y,z,nx,ny,nz,ur(nvar)
integer nvar,istep,imax,jmax,kmax
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function qfun
function gfun(label,x,y,z,nx,ny,nz,ur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character(*) label
double precision gfun,x,y,z,nx,ny,nz,ur(nvar)
integer nvar,istep,imax,jmax,kmax
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function gfun
function BCfun(label,x,y,z,ur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character(*) label
double precision BCfun,x,y,z,ur(nvar)
integer nvar,istep,imax,jmax,kmax
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function BCfun
function scanfun(label,x,y,z,nx,ny,nz,ur,dur,nvar)
character(*) label
double precision scanfun,x,y,z,nx,ny,nz,ur(nvar),dur(nvar,*)
integer nvar
end function scanfun
! ----------------------------------------------------------------------
subroutine dCfun_du(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax,dCdu)
character(*) label
integer nvar,istep,imax,jmax,kmax
double precision dCdu(nvar),x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end subroutine dCfun_du
subroutine dCfun_ddu(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax,dCddu)
character(*) label
integer nvar,istep,imax,jmax,kmax
double precision dCddu(nvar,*),x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end subroutine dCfun_ddu
subroutine dffun_du(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax,dfdu)
character(*) label
integer nvar,istep,imax,jmax,kmax
double precision dfdu(nvar),x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end subroutine dffun_du
subroutine dffun_ddu(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax,dfddu)
character(*) label
integer nvar,istep,imax,jmax,kmax
double precision dfddu(nvar,*),x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end subroutine dffun_ddu
end interface
#else
! interfaces for dynamic linking of DLL
abstract interface
function Cfunint(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character label*(*)
integer nvar,istep,imax,jmax,kmax
double precision Cfunint,x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function Cfunint
function afunint(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character label*(*)
integer nvar,istep,imax,jmax,kmax
double precision afunint,x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function afunint
function ffunint(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character label*(*)
integer nvar,istep,imax,jmax,kmax
double precision x,y,z,ffunint,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function ffunint
function qfunint(label,x,y,z,nx,ny,nz,ur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character(*) label
double precision qfunint,x,y,z,nx,ny,nz,ur(nvar)
integer nvar,istep,imax,jmax,kmax
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function qfunint
function gfunint(label,x,y,z,nx,ny,nz,ur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character(*) label
double precision gfunint,x,y,z,nx,ny,nz,ur(nvar)
integer nvar,istep,imax,jmax,kmax
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function gfunint
function BCfunint(label,x,y,z,ur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
character(*) label
double precision BCfunint,x,y,z,ur(nvar)
integer nvar,istep,imax,jmax,kmax
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end function BCfunint
function scanfunint(label,x,y,z,nx,ny,nz,ur,dur,nvar)
character(*) label
double precision scanfunint,x,y,z,nx,ny,nz,ur(nvar),dur(nvar,*)
integer nvar
end function scanfunint
! ----------------------------------------------------------------------
subroutine dCfun_duint(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax,dCdu)
character(*) label
integer nvar,istep,imax,jmax,kmax
double precision dCdu(nvar),x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end subroutine dCfun_duint
subroutine dCfun_dduint(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax,dCddu)
character(*) label
integer nvar,istep,imax,jmax,kmax
double precision dCddu(nvar,*),x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end subroutine dCfun_dduint
subroutine dffun_duint(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax,dfdu)
character(*) label
integer nvar,istep,imax,jmax,kmax
double precision dfdu(nvar),x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end subroutine dffun_duint
subroutine dffun_dduint(label,x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax,dfddu)
character(*) label
integer nvar,istep,imax,jmax,kmax
double precision dfddu(nvar,*),x,y,z,ur(nvar),dur(nvar,*)
integer ireg(0:imax,0:jmax,0:kmax),iregup(0:imax,0:jmax,0:kmax)
double precision rnode(0:imax,0:jmax,0:kmax,*),vec(*)
end subroutine dffun_dduint
! function dCfun_duint(token,ur,dur)
! character(*) token
! double precision ur(:),dur(:,:),dCfun_duint(size(ur))
! end function dCfun_duint
! function dCfun_dduint(token,ur,dur)
! character(*) token
! double precision ur(:),dur(:,:),dCfun_dduint(size(ur),3)
! end function dCfun_dduint
! function dffun_duint(token,ur,dur)
! character(*) token
! double precision ur(:),dur(:,:),dffun_duint(size(ur))
! end function dffun_duint
! function dffun_dduint(token,ur,dur)
! character(*) token
! double precision ur(:),dur(:,:),dffun_dduint(size(ur),3)
! end function dffun_dduint
end interface
procedure(cfunint), pointer :: cfun
procedure(afunint), pointer :: afun
procedure(ffunint), pointer :: ffun
procedure(qfunint), pointer :: qfun
procedure(gfunint), pointer :: gfun
procedure(BCfunint), pointer :: BCfun
procedure(scanfunint), pointer :: scanfun
procedure(dCfun_duint), pointer :: dCfun_du
procedure(dCfun_dduint), pointer :: dCfun_ddu
procedure(dffun_duint), pointer :: dffun_du
procedure(dffun_dduint), pointer :: dffun_ddu
integer(C_INTPTR_T) :: hmodule=0
#endif
! ----------------------------------------------------------------------
! C, a, f, q, g storage
! ----------------------------------------------------------------------
double precision, allocatable :: CC(:,:,:,:,:)
integer, allocatable :: iCC(:,:,:,:,:)
character(EXPRLEN), allocatable :: sCC(:,:,:,:,:)
type(Tlist), allocatable :: tCC(:,:,:,:,:)
double precision, allocatable :: aa(:,:,:)
integer, allocatable :: iaa(:,:,:)
character(EXPRLEN), allocatable :: saa(:,:,:)
type(Tlist), allocatable :: taa(:,:,:)
double precision, allocatable :: ff(:,:)
integer, allocatable :: iff(:,:)
character(EXPRLEN), allocatable :: sff(:,:)
type(Tlist), allocatable :: tff(:,:)
double precision, allocatable :: qq(:,:,:)
integer, allocatable :: iqq(:,:,:)
character(EXPRLEN), allocatable :: sqq(:,:,:)
type(Tlist), allocatable :: tqq(:,:,:)
double precision, allocatable :: gg(:,:)
integer, allocatable :: igg(:,:)
character(EXPRLEN), allocatable :: sgg(:,:)
type(Tlist), allocatable :: tgg(:,:)
integer, allocatable :: table(:,:)
integer ntable
logical, allocatable :: regCNL(:),regANL(:),regFNL(:),regQNL(:),regGNL(:),regfixNL(:)
logical isQNL,isRNL,isfixNL,isNL
integer, allocatable :: iregfix(:,:)
double precision, allocatable :: regfix(:,:)
character(EXPRLEN), allocatable :: sregfix(:,:)
type(Tlist), allocatable :: tregfix(:,:)
double precision, allocatable :: init(:)
integer, allocatable :: initi(:)
character(EXPRLEN), allocatable :: inits(:)
type(Tlist), allocatable :: initt(:)
logical, private :: nvar_set, key_db_set, omega_set, key_sim_set, ndim_set
logical, private :: nreg_set, restart_set, scale_set
logical, private :: key_Q_set, nstride_set, labels_set, zou_format_set, rst_format_set
logical, private :: nstep_set, tstep_set, nstrideNL_set, key_export_set
logical, private :: idbmin_set,idbmax_set
logical, private :: jdbmin_set,jdbmax_set
logical, private :: kdbmin_set,kdbmax_set
logical, private :: tol_set,itmax_set,residual_set,nodecheck_set,newton_set,removeFixed_set
contains
subroutine usersetup(scansetup)
! ----------------------------------------------------------------------
! If any of (C,a,f,q,g,BC) have tokens or scansetup, load DLL
! set up appropriate functions
! if scansetup is true, set up scanfun also (for ZPP)
! Conditional compilation: if STATICZINC, this function is blank
! ----------------------------------------------------------------------
use ISO_C_BINDING
use common, only : fname,newton
use iofile, only : prterr
logical scansetup
#ifndef STATICZINC
interface
function LoadLibrary(lpFileName) bind(C,name='LoadLibraryA')
use ISO_C_BINDING
implicit none
!GCC$ ATTRIBUTES STDCALL :: LoadLibrary
integer(C_INTPTR_T) LoadLibrary
character(kind=C_CHAR) lpFileName(*)
end function LoadLibrary
function GetProcAddress(hModule, lpProcName) bind(C,name='GetProcAddress')
use ISO_C_BINDING
implicit none
!GCC$ ATTRIBUTES STDCALL :: GetProcAddress
type(C_FUNPTR) GetProcAddress
integer(C_INTPTR_T), value :: hModule
character(kind=C_CHAR) lpProcName(*)
end function GetProcAddress
end interface
type(C_FUNPTR) FunAddress
logical CCtoken,aatoken,fftoken,qqtoken,ggtoken,BCtoken
CCtoken=any(iCC.eq.3)
aatoken=any(iaa.eq.3)
fftoken=any(iff.eq.3)
qqtoken=any(iqq.eq.3)
ggtoken=any(igg.eq.3)
BCtoken=any(iregfix.eq.4) ! Note "4"
if (CCtoken.or.aatoken.or.fftoken.or.qqtoken.or.ggtoken.or.BCtoken.or.scansetup) then
print *,'Loading DLL file: ',trim(fname)//'.dll'
hmodule=LoadLibrary(trim(fname)//'.dll'//achar(0))
if (hmodule.eq.0) call prterr('DLL not found')
if (CCtoken) then
FunAddress=GetProcAddress(hmodule,'cfun'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find cfun')
call C_F_PROCPOINTER(FunAddress,cfun)
if (newton=='YES') then
FunAddress=GetProcAddress(hmodule,'dcfun_du'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find dCfun_du')
call C_F_PROCPOINTER(FunAddress,dcfun_du)
FunAddress=GetProcAddress(hmodule,'dcfun_ddu'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find dCfun_ddu')
call C_F_PROCPOINTER(FunAddress,dcfun_ddu)
endif
endif
if (aatoken) then
FunAddress=GetProcAddress(hmodule,'afun'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find afun')
call C_F_PROCPOINTER(FunAddress,afun)
endif
if (fftoken) then
FunAddress=GetProcAddress(hmodule,'ffun'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find ffun')
call C_F_PROCPOINTER(FunAddress,ffun)
if (newton=='YES') then
FunAddress=GetProcAddress(hmodule,'dffun_du'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find dffun_du')
call C_F_PROCPOINTER(FunAddress,dffun_du)
FunAddress=GetProcAddress(hmodule,'dffun_ddu'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find dffun_ddu')
call C_F_PROCPOINTER(FunAddress,dffun_ddu)
endif
endif
if (qqtoken) then
FunAddress=GetProcAddress(hmodule,'qfun'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find qfun')
call C_F_PROCPOINTER(FunAddress,qfun)
endif
if (ggtoken) then
FunAddress=GetProcAddress(hmodule,'gfun'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find gfun')
call C_F_PROCPOINTER(FunAddress,gfun)
endif
if (BCtoken) then
FunAddress=GetProcAddress(hmodule,'bcfun'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find BCfun')
call C_F_PROCPOINTER(FunAddress,BCfun)
endif
if (scansetup) then
FunAddress=GetProcAddress(hmodule,'scanfun'//achar(0))
if (.NOT.C_ASSOCIATED(FunAddress)) call prterr('Could not find scanfun')
call C_F_PROCPOINTER(FunAddress,scanfun)
endif
endif
#endif
end subroutine usersetup
! ######################################################################
subroutine userfree
#ifndef STATICZINC
interface
function FreeLibrary(hLibModule) bind(C,name='FreeLibrary')
use ISO_C_BINDING
implicit none
!GCC$ ATTRIBUTES STDCALL :: FreeLibrary
integer(C_INT) FreeLibrary
integer(C_INTPTR_T), value :: hLibModule
end function FreeLibrary
end interface
integer ret
if (hmodule.ne.0) then
ret=FreeLibrary(hmodule)
if (ret.eq.0) print *,'Warning: failed to release DLL library'
endif
#endif
end subroutine userfree
! ######################################################################
function CCval(irege,ii,jj,kk,ll,ur,dur,rc,iCCx)
! ----------------------------------------------------------------------
! Get C(ii,jj,kk,ll) for reg irege
! In cases 2 and 3, this will depend on ur, dur, rc
! These can be calculated using getelinfo
! ----------------------------------------------------------------------
use evaluate
use common
integer irege,ii,jj,kk,ll
double precision CCval,ur(nvar),dur(nvar,NDIM),rc(NDIM),x,y,z
integer iCCx,ivar,j
iCCx=iCC(irege,ii,jj,kk,ll)
x=rc(1)
if (NDIM>=2) y=rc(2)
if (NDIM==3) z=rc(3)
if (iCCx.eq.0) then
CCval=CC(irege,ii,jj,kk,ll)
else if (iCCx.eq.1) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
! call evalexpr(sCCx,CCval)
call evaltoken(tCC(irege,ii,jj,kk,ll),CCval)
else if (iCCx.eq.2) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
do ivar=1,nvar
call defparam(us(ivar),ur(ivar))
do j=1,NDIM
call defparam(dus(ivar,j),dur(ivar,j))
enddo
enddo
! call evalexpr(sCCx,CCval)
call evaltoken(tCC(irege,ii,jj,kk,ll),CCval)
else if (iCCx.eq.3) then
CCval= Cfun(sCC(irege,ii,jj,kk,ll),x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
endif
end function CCval
! ######################################################################
function aaval(irege,ii,kk,ur,dur,rc,iaax)
use evaluate
use common
integer irege,ii,kk
double precision aaval,ur(nvar),dur(nvar,NDIM),rc(NDIM),x,y,z
integer iaax,ivar,j
iaax=iaa(irege,ii,kk)
x=rc(1)
if (NDIM>=2) y=rc(2)
if (NDIM==3) z=rc(3)
if (iaax.eq.0) then
aaval=aa(irege,ii,kk)
else if (iaax.eq.1) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
! call evalexpr(saax,aaval)
call evaltoken(taa(irege,ii,kk),aaval)
else if (iaax.eq.2) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
do ivar=1,nvar
call defparam(us(ivar),ur(ivar))
do j=1,3
call defparam(dus(ivar,j),dur(ivar,j))
enddo
enddo
! call evalexpr(saax,aaval)
call evaltoken(taa(irege,ii,kk),aaval)
else if (iaax.eq.3) then
aaval= afun(saa(irege,ii,kk),x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
endif
end function aaval
! ######################################################################
function ffval(irege,ii,ur,dur,rc)
use evaluate
use common
integer irege,ii
double precision ffval,ur(nvar),dur(nvar,NDIM),rc(NDIM),x,y,z
integer iffx,ivar,j
iffx=iff(irege,ii)
x=rc(1)
if (NDIM>=2) y=rc(2)
if (NDIM==3) z=rc(3)
if (iffx.eq.0) then
ffval=ff(irege,ii)
else if (iffx.eq.1) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
! call evalexpr(sffx,ffval)
call evaltoken(tff(irege,ii),ffval)
else if (iffx.eq.2) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
do ivar=1,nvar
call defparam(us(ivar),ur(ivar))
do j=1,3
call defparam(dus(ivar,j),dur(ivar,j))
enddo
enddo
! call evalexpr(sffx,ffval)
call evaltoken(tff(irege,ii),ffval)
else if (iffx.eq.3) then
ffval= ffun(sff(irege,ii),x,y,z,ur,dur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
endif
end function ffval
! ######################################################################
function qqval(irege1,irege2,ii,kk,ur,rc,norm,iqqx)
use evaluate
use common
integer irege1,irege2,ii,kk
double precision qqval,ur(nvar),rc(NDIM),norm(3),x,y,z
integer iqqx,ivar,ind
ind=lookup(irege1,irege2)
if (ind.eq.0) then
iqqx=-1 ! not found
qqval=0
return
endif
iqqx=iqq(ind,ii,kk)
x=rc(1)
if (NDIM>=2) y=rc(2)
if (NDIM==3) z=rc(3)
if (iqqx.eq.0) then
qqval=qq(ind,ii,kk)
else if (iqqx.eq.1) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
call defparam('NX',norm(1))
call defparam('NY',norm(2))
call defparam('NZ',norm(3))
! call evalexpr(sqqx,qqval)
call evaltoken(tqq(ind,ii,kk),qqval)
else if (iqqx.eq.2) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
call defparam('NX',norm(1))
call defparam('NY',norm(2))
call defparam('NZ',norm(3))
do ivar=1,nvar
call defparam(us(ivar),ur(ivar))
enddo
! call evalexpr(sqqx,qqval)
call evaltoken(tqq(ind,ii,kk),qqval)
else if (iqqx.eq.3) then
qqval=qfun(sqq(ind,ii,kk),x,y,z,norm(1),norm(2),norm(3),ur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
endif
end function qqval
! ######################################################################
function ggval(irege1,irege2,ii,ur,rc,norm)
use evaluate
use common
implicit none
integer irege1,irege2,ii
double precision ggval,ur(nvar),rc(NDIM),norm(3),x,y,z
integer iggx,ivar,ind
ind=lookup(irege1,irege2)
if (ind.eq.0) then
ggval=0
return
endif
iggx=igg(ind,ii)
x=rc(1)
if (NDIM>=2) y=rc(2)
if (NDIM==3) z=rc(3)
if (iggx.eq.0) then
ggval=gg(ind,ii)
else if (iggx.eq.1) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
call defparam('NX',norm(1))
call defparam('NY',norm(2))
call defparam('NZ',norm(3))
! call evalexpr(sggx,ggval)
call evaltoken(tgg(ind,ii),ggval)
else if (iggx.eq.2) then
call defparam('X',x)
if (NDIM>=2) call defparam('Y',y)
if (NDIM==3) call defparam('Z',z)
call defparam('ISTEP',istep)
call defparam('NX',norm(1))
call defparam('NY',norm(2))
call defparam('NZ',norm(3))
do ivar=1,nvar
call defparam(us(ivar),ur(ivar))
enddo
! call evalexpr(sggx,ggval)
call evaltoken(tgg(ind,ii),ggval)
else if (iggx.eq.3) then
ggval=gfun(sgg(ind,ii),x,y,z,norm(1),norm(2),norm(3),ur,nvar,istep, &
ireg,iregup,rnode,vec,imax,jmax,kmax)
endif
end function ggval
! ######################################################################
function lookup(ireg1,ireg2)
! given region numbers of elements on either side of face. Get index number of face
integer lookup,ireg1,ireg2,i
do i=1,ntable
if ((ireg1.eq.table(i,1).and.ireg2.eq.table(i,2)).or.&
(ireg1.eq.table(i,2).and.ireg2.eq.table(i,1))) then
lookup=i
return
endif
enddo
lookup=0
end function lookup
! ######################################################################
function lookind(string)
! convert user input to integer. user can enter [xyz]max/min
use iofile, only : prterr
character(*) string
integer lookind
if (string.eq.'XMIN') then
lookind=-1
else if (string.eq.'XMAX') then
lookind=-2
else if (string.eq.'YMIN') then
lookind=-3
else if (string.eq.'YMAX') then
lookind=-4
else if (string.eq.'ZMIN') then
lookind=-5
else if (string.eq.'ZMAX') then
lookind=-6
else
read (string,*,err=999) lookind
endif
return
999 call prterr('Incomprehensible surface specification')
end function lookind
! ######################################################################
subroutine addtable(ireg1,ireg2)
integer ireg1,ireg2,i
do i=1,ntable
if ((ireg1.eq.table(i,1).and.ireg2.eq.table(i,2)).or.&
(ireg1.eq.table(i,2).and.ireg2.eq.table(i,1))) then
! call prterr('Duplicate surface specification')
return
endif
enddo
ntable=ntable+1
table(ntable,1)=ireg1
table(ntable,2)=ireg2
end subroutine addtable
! ######################################################################
subroutine getelinfo(itabsrt,rtabsrt,ur,dur)
! ----------------------------------------------------------------------
! Only called for non-linear systems
! note that element centre is not here since this may be needed
! for linear problems which depend on space
! ----------------------------------------------------------------------
use common, only : vec,nvar,zero,NDIM
use geom
use shape
use indexQ
integer itabsrt(2**NDIM,NDIM)
double precision rtabsrt(2**NDIM,NDIM),ur(nvar),dur(nvar,NDIM)
integer ii,jj,l,inode,jnode,knode
double precision ul(2**NDIM,nvar),jac(NDIM,NDIM),invjac(NDIM,NDIM),jacdet,dN(NDIM)
if (NDIM==3) then
do l=1,8
inode=itabsrt(l,1)
jnode=itabsrt(l,2)
knode=itabsrt(l,3)
do ii=1,nvar
ul(l,ii)=vec(indQ(inode,jnode,knode,ii))
enddo
enddo
else if (NDIM==2) then
do l=1,4
inode=itabsrt(l,1)
jnode=itabsrt(l,2)
do ii=1,nvar
ul(l,ii)=vec(indQ(inode,jnode,0,ii))
enddo
enddo
else
do l=1,2
inode=itabsrt(l,1)
do ii=1,nvar
ul(l,ii)=vec(indQ(inode,0,0,ii))
enddo
enddo
endif
call jacobian(zero,zero,zero,rtabsrt,jac,invjac,jacdet)
ur=0
dur=0
do l=1,2**NDIM
call getdN(l,zero,zero,zero,invjac,dN)
do ii=1,nvar
ur(ii)=ur(ii)+ul(l,ii)*Nl(l,zero,zero,zero)
enddo
do ii=1,nvar
do jj=1,NDIM
dur(ii,jj)=dur(ii,jj)+ul(l,ii)*dN(jj)
enddo
enddo
enddo
end subroutine getelinfo
! ######################################################################
subroutine getfaceinfo(irege1,irege2,centre1,centre2,itabsrt,rtabsrt,ur,rc,norm)
! ----------------------------------------------------------------------
! Called for all systems (with Neuman boundaries) including
! linear systems. itabsrt, rtabsrt are (8,3) but only first (4,3) is used
! Bit unnecessary in linear systems but faces not called for every element
! ----------------------------------------------------------------------
use common, only : vec,nvar,zero
use indexQ
use shape
use util
use iofile, only : prterr
integer irege1,irege2,itabsrt(8,3)
double precision centre1(3),centre2(3),rtabsrt(8,3),ur(nvar),rc(3),norm(3)
integer l,inode,jnode,knode,ii,ind
double precision ul(4,nvar)
double precision norm1(3),norm2(3),norm3(3),norm4(3),test(3),vec1(3),vec2(3)
rc(1)=sum(rtabsrt(1:4,1))/4
rc(2)=sum(rtabsrt(1:4,2))/4
rc(3)=sum(rtabsrt(1:4,3))/4
do l=1,4
inode=itabsrt(l,1)
jnode=itabsrt(l,2)
knode=itabsrt(l,3)
do ii=1,nvar
ul(l,ii)=vec(indQ(inode,jnode,knode,ii))
enddo
enddo
ur=0
do l=1,4
do ii=1,nvar
ur(ii)=ur(ii)+ul(l,ii)*N2d(l,zero,zero)
enddo
enddo
ind=lookup(irege1,irege2)
if (ind.eq.0) then
call prterr('getfaceinfo: illegal face')
endif
vec1=rtabsrt(2,:)-rtabsrt(1,:)
vec2=rtabsrt(4,:)-rtabsrt(1,:)
norm1=cross(vec1,vec2)
vec1=rtabsrt(3,:)-rtabsrt(2,:)
vec2=rtabsrt(1,:)-rtabsrt(2,:)
norm2=cross(vec1,vec2)
vec1=rtabsrt(4,:)-rtabsrt(3,:)
vec2=rtabsrt(2,:)-rtabsrt(3,:)
norm3=cross(vec1,vec2)
vec1=rtabsrt(1,:)-rtabsrt(4,:)
vec2=rtabsrt(3,:)-rtabsrt(4,:)
norm4=cross(vec1,vec2)
if (dot_product(norm1,norm2).lt.0.or.dot_product(norm1,norm3).lt.0.or.dot_product(norm1,norm4).lt.0.or.&