!$Id: prolongrestrict_cell.f90,v 1.3 2012/12/01 04:03:16 zjcao Exp $
! Because of overlap determination, source region is always larger than target
! region
#include "macrodef.fh"
#ifdef Cell
#ifdef Vertex
#error Both Cell and Vertex are defined
#endif
!--------------------------------------------------------------------------
!
! Prepare the data on coarse level for prolong
! valid for all finite difference order
!--------------------------------------------------------------------------
subroutine prolongcopy3(wei,llbc,uubc,extc,func,&
llbf,uubf,exto,funo,&
llbp,uubp,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in) :: wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbp,uubp
integer,dimension(3), intent(in) :: extc,exto
real*8, dimension(extc(1),extc(2),extc(3)),intent(in) :: func
! both bounds ghost_width
real*8, dimension(exto(1)+2*ghost_width,exto(2)+2*ghost_width,exto(3)+2*ghost_width),intent(out):: funo
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8,dimension(1-ghost_width:extc(1),1-ghost_width:extc(2),1-ghost_width:extc(3)) :: fh
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbp,ubp,lbpc,ubpc,cxI
integer :: i,j,k
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::prolongcopy3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
! it's possible a iolated point for target but not for source
CD = (uubc-llbc)/extc
FD = CD/2
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbp = idint((llbp-base)/FD+0.4)+1
lbpc = idint((llbp-base)/CD+0.4)+1
ubp = idint((uubp-base)/FD+0.4)
ubpc = idint((uubp-base)/CD+0.4)
!sanity check
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
! ^ ^
imini=lbpc(1)-lbc(1) + 1 - ghost_width
imaxi=ubpc(1)-lbc(1) + 1 + ghost_width
jmini=lbpc(2)-lbc(2) + 1 - ghost_width
jmaxi=ubpc(2)-lbc(2) + 1 + ghost_width
kmini=lbpc(3)-lbc(3) + 1 - ghost_width
kmaxi=ubpc(3)-lbc(3) + 1 + ghost_width
cxI(1) = imaxi-imini+1
cxI(2) = jmaxi-jmini+1
cxI(3) = kmaxi-kmini+1
if(any(cxI.ne.exto+2*ghost_width).or. &
imaxi.gt.extc(1)+1.or.jmaxi.gt.extc(2)+1.or.kmaxi.gt.extc(3)+1)then
write(*,*)"error in prolongationcopy3 for"
if(any(cxI.ne.exto+2*ghost_width))then
write(*,*) cxI,exto+2*ghost_width
return
endif
write(*,*)"from"
write(*,*)llbc,uubc
write(*,*)lbc,ubc
write(*,*)"to"
write(*,*)llbf,uubf
write(*,*)lbf,ubf
write(*,*)"want"
write(*,*)llbp,uubp
write(*,*)lbp,ubp,lbpc,ubpc
if(imini.lt.1) write(*,*)"imini = ",imini
if(jmini.lt.1) write(*,*)"jmini = ",jmini
if(kmini.lt.1) write(*,*)"kmini = ",kmini
if(imaxi.gt.extc(1)) write(*,*)"imaxi = ",imaxi,"extc(1) = ",extc(1)
if(jmaxi.gt.extc(2)) write(*,*)"jmaxi = ",jmaxi,"extc(2) = ",extc(2)
if(kmaxi.gt.extc(3)) write(*,*)"kmaxi = ",kmaxi,"extc(3) = ",extc(3)
return
endif
! because some point needs 2*ghost_width
! while some point needs 2*ghost_width-1
! so we use 0 to fill empty points
if(imini < 1.or.jmini < 1.or.kmini < 1)then
if(imini<1.and.dabs(llbp(1))>CD(1)) write(*,*)"prolongcopy3 warning: ",llbp(1)
if(jmini<1.and.dabs(llbp(2))>CD(2)) write(*,*)"prolongcopy3 warning: ",llbp(2)
if(kmini<1.and.dabs(llbp(3))>CD(3)) write(*,*)"prolongcopy3 warning: ",llbp(3)
call symmetry_bd(ghost_width,extc,func,fh,SoA)
if(imaxi<=extc(1).and.jmaxi<=extc(2).and.kmaxi<=extc(3))then
funo = fh(imini:imaxi,jmini:jmaxi,kmini:kmaxi)
else
funo = 0.d0
cxI = 0
if(imaxi>extc(1))then
cxI(1) = 1
imaxi = extc(1)
endif
if(jmaxi>extc(2))then
cxI(2) = 1
jmaxi = extc(2)
endif
if(kmaxi>extc(3))then
cxI(3) = 1
kmaxi = extc(3)
endif
funo(1:exto(1)+2*ghost_width-cxI(1), &
1:exto(2)+2*ghost_width-cxI(2), &
1:exto(3)+2*ghost_width-cxI(3)) = fh(imini:imaxi,jmini:jmaxi,kmini:kmaxi)
endif
else
if(imaxi<=extc(1).and.jmaxi<=extc(2).and.kmaxi<=extc(3))then
funo = func(imini:imaxi,jmini:jmaxi,kmini:kmaxi)
else
funo = 0.d0
cxI = 0
if(imaxi>extc(1))then
cxI(1) = 1
imaxi = extc(1)
endif
if(jmaxi>extc(2))then
cxI(2) = 1
jmaxi = extc(2)
endif
if(kmaxi>extc(3))then
cxI(3) = 1
kmaxi = extc(3)
endif
funo(1:exto(1)+2*ghost_width-cxI(1), &
1:exto(2)+2*ghost_width-cxI(2), &
1:exto(3)+2*ghost_width-cxI(3)) = func(imini:imaxi,jmini:jmaxi,kmini:kmaxi)
endif
endif
return
end subroutine prolongcopy3
!=================================================================================================
#define MIX 0
!--------------------------------------------------------------------------
!
! Prolong data throug mix data of fine and coarse levels
!--------------------------------------------------------------------------
subroutine prolongmix3(wei,llbf,uubf,extf,funf,&
llbc,uubc,exti,funi,&
llbp,uubp,SoA,Symmetry, &
illb,iuub)
implicit none
!~~~~~~> input arguments
integer,intent(in) :: wei
! coarse fine coarse fine (real inner points)
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbp,uubp,illb,iuub
integer,dimension(3), intent(in) :: exti,extf
real*8, dimension(extf(1),extf(2),extf(3)),intent(inout) :: funf
! lower bound ghost_width; upper bound ghost_width-1
real*8, dimension(exti(1)+2*ghost_width,exti(2)+2*ghost_width,exti(3)+2*ghost_width),intent(in):: funi
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbp,ubp,lbpc,ubpc,ilb,iub
integer :: i,j,k,n,ii,jj,kk
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
real*8,dimension(3) :: CD,FD
integer,dimension(3) :: cxI,cxB,cxT,fg
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
real*8,dimension(2*ghost_width,2*ghost_width,2*ghost_width) :: ya
real*8,dimension(2*ghost_width) :: X,Y,Z
real*8, dimension(2*ghost_width,2*ghost_width) :: tmp2
real*8, dimension(2*ghost_width) :: tmp1
real*8 :: ddy
real*8,dimension(3) :: ccp
#if (ghost_width == 2)
real*8, parameter :: C1=-7.d0/1.28d2,C2=1.05d2/1.28d2
real*8, parameter :: C4=-5.d0/1.28d2,C3= 3.5d1/1.28d2
#elif (ghost_width == 3)
real*8, parameter :: C1=7.7d1/8.192d3,C2=-6.93d2/8.192d3,C3=3.465d3/4.096d3
real*8, parameter :: C6=6.3d1/8.192d3,C5=-4.95d2/8.192d3,C4=1.155d3/4.096d3
#elif (ghost_width == 4)
real*8, parameter :: C1=-4.95d2/2.62144d5,C2=5.005d3/2.62144d5,C3=-2.7027d4/2.62144d5,C4=2.25225d5/2.62144d5
real*8, parameter :: C8=-4.29d2/2.62144d5,C7=4.095d3/2.62144d5,C6=-1.9305d4/2.62144d5,C5=7.5075d4/2.62144d5
#elif (ghost_width == 5)
real*8, parameter :: C1=1.3585d4/3.3554432d7,C2=-1.59885d5/3.3554432d7,C3=2.30945d5/8.388608d6
real*8, parameter :: C4=-9.69969d5/8.388608d6,C5=1.4549535d7/1.6777216d7,C6=4.849845d6/1.6777216d7
real*8, parameter :: C7=-6.92835d5/8.388608d6,C8=1.88955d5/8.388608d6,C9=-1.38567d5/3.3554432d7
real*8, parameter :: C10=1.2155d4/3.3554432d7
#endif
if(wei.ne.3)then
write(*,*)"prolongrestrict_cell.f90::prolongmix3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
! it's possible a iolated point for target but not for source
FD = (uubf-llbf)/extf
CD = FD*2.d0
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbp = idint((llbp-base)/FD+0.4)+1
lbpc = idint((llbp-base)/CD+0.4)+1
ubp = idint((uubp-base)/FD+0.4)
ubpc = idint((uubp-base)/CD+0.4)
ilb = idint((illb-base)/FD+0.4)+1
iub = idint((iuub-base)/FD+0.4)
!sanity check
imino=lbp(1)-lbf(1) + 1
imaxo=ubp(1)-lbf(1) + 1
jmino=lbp(2)-lbf(2) + 1
jmaxo=ubp(2)-lbf(2) + 1
kmino=lbp(3)-lbf(3) + 1
kmaxo=ubp(3)-lbf(3) + 1
!sanity check
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
! ^ ^
! ghost_width for both sides
lbpc = lbpc - ghost_width
ubpc = ubpc + ghost_width
! index for real inner points
ilb = ilb - lbf+1
iub = iub - lbf+1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imaxo.gt.extf(1).or.jmaxo.gt.extf(2).or.kmaxo.gt.extf(3))then
write(*,*)"error in prolongmix3 for"
write(*,*)"from"
write(*,*)llbc,uubc
write(*,*)lbc,ubc
write(*,*)"to"
write(*,*)llbf,uubf
write(*,*)lbf,ubf
write(*,*)base,FD
write(*,*)"want"
write(*,*)llbp,uubp
write(*,*)lbp,ubp
if(imino.lt.1) write(*,*)"imino = ",imino
if(jmino.lt.1) write(*,*)"jmino = ",jmino
if(kmino.lt.1) write(*,*)"kmino = ",kmino
if(imaxo.gt.extf(1)) write(*,*)"imaxo = ",imaxo,"extf(1) = ",extf(1)
if(jmaxo.gt.extf(2)) write(*,*)"jmaxo = ",jmaxo,"extf(2) = ",extf(2)
if(kmaxo.gt.extf(3)) write(*,*)"kmaxo = ",kmaxo,"extf(3) = ",extf(3)
return
endif
do k=kmino,kmaxo
do j=jmino,jmaxo
do i=imino,imaxo
cxI(1) = i
cxI(2) = j
cxI(3) = k
ccp = llbf+(cxI-0.5d0)*FD
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbpc + 1
ya = funi(cxI(1)-ghost_width+1:cxI(1)+ghost_width,cxI(2)-ghost_width+1:cxI(2)+ghost_width,cxI(3)-ghost_width+1:cxI(3)+ghost_width)
fg = 0
where((illb.lt.ccp).and.(iuub.gt.ccp)) fg = 1
if(sum(fg).eq.3)then
write(*,*)"1 error in in prolongmix3:"
write(*,*)ccp,illb,iuub
stop
endif
! fix the wanted point at (0,0,0), set FD = 1
ii=i+lbf(1)-1
jj=j+lbf(2)-1
kk=k+lbf(3)-1
if(sum(fg).eq.2)then
cxI(1) = i
cxI(2) = j
cxI(3) = k
!!!! set X
if(ii/2*2==ii)then
! v
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
do n=1,ghost_width
X(ghost_width-n+1) = -0.5d0-(n-1)*2
X(ghost_width+n ) = 1.5d0+(n-1)*2
enddo
if(cxI(1).gt.iub(1))then
cxB(1) = iub(1)-ghost_width+1+(cxI(1)-iub(1)+1-MIX)/2
cxT(1) = iub(1)
elseif(cxI(1).lt.ilb(1))then
cxB(1) = ilb(1)
cxT(1) = ilb(1)+ghost_width-1-(ilb(1)-cxI(1)-MIX)/2
elseif(fg(1).eq.0)then
write(*,*)"2 error in in prolongmix3:"
write(*,*)ccp(1),illb(1),iuub(1)
stop
endif
else
! v
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
do n=1,ghost_width
X(ghost_width-n+1) = -1.5d0-(n-1)*2
X(ghost_width+n ) = 0.5d0+(n-1)*2
enddo
if(cxI(1).gt.iub(1))then
cxB(1) = iub(1)-ghost_width+1+(cxI(1)-iub(1)-MIX)/2
cxT(1) = iub(1)
elseif(cxI(1).lt.ilb(1))then
cxB(1) = ilb(1)
cxT(1) = ilb(1)+ghost_width-1-(ilb(1)-cxI(1)+1-MIX)/2
elseif(fg(1).eq.0)then
write(*,*)"3 error in in prolongmix3:"
write(*,*)ccp(1),illb(1),iuub(1)
stop
endif
endif
!!!! set Y
if(jj/2*2==jj)then
do n=1,ghost_width
Y(ghost_width-n+1) = -0.5d0-(n-1)*2
Y(ghost_width+n ) = 1.5d0+(n-1)*2
enddo
if(cxI(2).gt.iub(2))then
cxB(2) = iub(2)-ghost_width+1+(cxI(2)-iub(2)+1-MIX)/2
cxT(2) = iub(2)
elseif(cxI(2).lt.ilb(2))then
cxB(2) = ilb(2)
cxT(2) = ilb(2)+ghost_width-1-(ilb(2)-cxI(2)-MIX)/2
elseif(fg(2).eq.0)then
write(*,*)"4 error in in prolongmix3:"
write(*,*)ccp(2),illb(2),iuub(2)
stop
endif
else
do n=1,ghost_width
Y(ghost_width-n+1) = -1.5d0-(n-1)*2
Y(ghost_width+n ) = 0.5d0+(n-1)*2
enddo
if(cxI(2).gt.iub(2))then
cxB(2) = iub(2)-ghost_width+1+(cxI(2)-iub(2)-MIX)/2
cxT(2) = iub(2)
elseif(cxI(2).lt.ilb(2))then
cxB(2) = ilb(2)
cxT(2) = ilb(2)+ghost_width-1-(ilb(2)-cxI(2)+1-MIX)/2
elseif(fg(2).eq.0)then
write(*,*)"5 error in in prolongmix3:"
write(*,*)ccp(2),illb(2),iuub(2)
stop
endif
endif
!!!! set Z
if(kk/2*2==kk)then
do n=1,ghost_width
Z(ghost_width-n+1) = -0.5d0-(n-1)*2
Z(ghost_width+n ) = 1.5d0+(n-1)*2
enddo
if(cxI(3).gt.iub(3))then
cxB(3) = iub(3)-ghost_width+1+(cxI(3)-iub(3)+1-MIX)/2
cxT(3) = iub(3)
elseif(cxI(3).lt.ilb(3))then
cxB(3) = ilb(3)
cxT(3) = ilb(3)+ghost_width-1-(ilb(3)-cxI(3)-MIX)/2
elseif(fg(3).eq.0)then
write(*,*)"6 error in in prolongmix3:"
write(*,*)ccp(3),illb(3),iuub(3)
stop
endif
else
do n=1,ghost_width
Z(ghost_width-n+1) = -1.5d0-(n-1)*2
Z(ghost_width+n ) = 0.5d0+(n-1)*2
enddo
if(cxI(3).gt.iub(3))then
cxB(3) = iub(3)-ghost_width+1+(cxI(3)-iub(3)-MIX)/2
cxT(3) = iub(3)
elseif(cxI(3).lt.ilb(3))then
cxB(3) = ilb(3)
cxT(3) = ilb(3)+ghost_width-1-(ilb(3)-cxI(3)+1-MIX)/2
elseif(fg(3).eq.0)then
write(*,*)"7 error in in prolongmix3:"
write(*,*)ccp(3),illb(3),iuub(3)
stop
endif
endif
endif
! X, Y, and Z are possiblly not in order, I assume polint does not
! require this order
! because of the mismatch of points for fine level and coarse level
! we have to deal in this way
! for x direction
if(sum(fg).eq.2.and.fg(1) .eq. 0.and. &
(((cxI(1).gt.iub(1)).and.(ghost_width-cxI(1)+cxB(1)+1.gt.0)).or. &
(cxI(1).lt.ilb(1)).and.(ghost_width-cxI(1)+cxT(1).le.2*ghost_width)))then
#if (ghost_width == 2)
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
else
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
else
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
endif
endif
#elif (ghost_width == 3)
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5*ya(:,:,5)+C6*ya(:,:,6)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
else
tmp2= C6*ya(:,:,1)+C5*ya(:,:,2)+C4*ya(:,:,3)+C3*ya(:,:,4)+C2*ya(:,:,5)+C1*ya(:,:,6)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5*ya(:,:,5)+C6*ya(:,:,6)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
else
tmp2= C6*ya(:,:,1)+C5*ya(:,:,2)+C4*ya(:,:,3)+C3*ya(:,:,4)+C2*ya(:,:,5)+C1*ya(:,:,6)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
endif
endif
#elif (ghost_width == 4)
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
else
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
else
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
endif
endif
#elif (ghost_width == 5)
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
else
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
else
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
endif
endif
#endif
if(cxI(1).gt.iub(1))then
! consistent to coarse level, always X(ghost_width+1) = 0 for left
do n=cxB(1),cxT(1)
X(ghost_width-cxI(1)+n+1) = dble(n-cxI(1))
enddo
tmp1(ghost_width-cxI(1)+cxB(1)+1:ghost_width-cxI(1)+cxT(1)+1) = funf(cxB(1):cxT(1),j,k)
elseif(cxI(1).lt.ilb(1))then
! consistent to coarse level, always X(ghost_width ) = 0 for right
do n=cxB(1),cxT(1)
X(ghost_width-cxI(1)+n ) = dble(n-cxI(1))
enddo
tmp1(ghost_width-cxI(1)+cxB(1) :ghost_width-cxI(1)+cxT(1) ) = funf(cxB(1):cxT(1),j,k)
endif
call polint(X,tmp1,0.d0,funf(i,j,k),ddy,2*ghost_width)
! for y direction
elseif(sum(fg).eq.2.and.fg(2) .eq. 0.and. &
(((cxI(2).gt.iub(2)).and.(ghost_width-cxI(2)+cxB(2)+1.gt.0)).or. &
(cxI(2).lt.ilb(2)).and.(ghost_width-cxI(2)+cxT(2).le.2*ghost_width)))then
#if (ghost_width == 2)
if(ii/2*2==ii)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)
else
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
tmp1= C4*tmp2(1,:)+C3*tmp2(2,:)+C2*tmp2(3,:)+C1*tmp2(4,:)
else
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
tmp1= C4*tmp2(1,:)+C3*tmp2(2,:)+C2*tmp2(3,:)+C1*tmp2(4,:)
endif
endif
#elif (ghost_width == 3)
if(ii/2*2==ii)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5*ya(:,:,5)+C6*ya(:,:,6)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+C5*tmp2(5,:)+C6*tmp2(6,:)
else
tmp2= C6*ya(:,:,1)+C5*ya(:,:,2)+C4*ya(:,:,3)+C3*ya(:,:,4)+C2*ya(:,:,5)+C1*ya(:,:,6)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+C5*tmp2(5,:)+C6*tmp2(6,:)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5*ya(:,:,5)+C6*ya(:,:,6)
tmp1= C6*tmp2(1,:)+C5*tmp2(2,:)+C4*tmp2(3,:)+C3*tmp2(4,:)+C2*tmp2(5,:)+C1*tmp2(6,:)
else
tmp2= C6*ya(:,:,1)+C5*ya(:,:,2)+C4*ya(:,:,3)+C3*ya(:,:,4)+C2*ya(:,:,5)+C1*ya(:,:,6)
tmp1= C6*tmp2(1,:)+C5*tmp2(2,:)+C4*tmp2(3,:)+C3*tmp2(4,:)+C2*tmp2(5,:)+C1*tmp2(6,:)
endif
endif
#elif (ghost_width == 4)
if(ii/2*2==ii)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+&
C5*tmp2(5,:)+C6*tmp2(6,:)+C7*tmp2(7,:)+C8*tmp2(8,:)
else
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+&
C5*tmp2(5,:)+C6*tmp2(6,:)+C7*tmp2(7,:)+C8*tmp2(8,:)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
tmp1= C8*tmp2(1,:)+C7*tmp2(2,:)+C6*tmp2(3,:)+C5*tmp2(4,:)+&
C4*tmp2(5,:)+C3*tmp2(6,:)+C2*tmp2(7,:)+C1*tmp2(8,:)
else
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
tmp1= C8*tmp2(1,:)+C7*tmp2(2,:)+C6*tmp2(3,:)+C5*tmp2(4,:)+&
C4*tmp2(5,:)+C3*tmp2(6,:)+C2*tmp2(7,:)+C1*tmp2(8,:)
endif
endif
#elif (ghost_width == 5)
if(ii/2*2==ii)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+C5 *tmp2( 5,:)+&
C6*tmp2(6,:)+C7*tmp2(7,:)+C8*tmp2(8,:)+C9*tmp2(9,:)+C10*tmp2(10,:)
else
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+C5 *tmp2( 5,:)+&
C6*tmp2(6,:)+C7*tmp2(7,:)+C8*tmp2(8,:)+C9*tmp2(9,:)+C10*tmp2(10,:)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
tmp1= C10*tmp2(1,:)+C9*tmp2(2,:)+C8*tmp2(3,:)+C7*tmp2(4,:)+C6*tmp2( 5,:)+&
C5 *tmp2(6,:)+C4*tmp2(7,:)+C3*tmp2(8,:)+C2*tmp2(9,:)+C1*tmp2(10,:)
else
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
tmp1= C10*tmp2(1,:)+C9*tmp2(2,:)+C8*tmp2(3,:)+C7*tmp2(4,:)+C6*tmp2( 5,:)+&
C5 *tmp2(6,:)+C4*tmp2(7,:)+C3*tmp2(8,:)+C2*tmp2(9,:)+C1*tmp2(10,:)
endif
endif
#endif
if(cxI(2).gt.iub(2))then
! consistent to coarse level, always Y(ghost_width+1) = 0 for left
do n=cxB(2),cxT(2)
Y(ghost_width-cxI(2)+n+1) = dble(n-cxI(2))
enddo
tmp1(ghost_width-cxI(2)+cxB(2)+1:ghost_width-cxI(2)+cxT(2)+1) = funf(i,cxB(2):cxT(2),k)
elseif(cxI(2).lt.ilb(2))then
! consistent to coarse level, always Y(ghost_width ) = 0 for right
do n=cxB(2),cxT(2)
Y(ghost_width-cxI(2)+n ) = dble(n-cxI(2))
enddo
tmp1(ghost_width-cxI(2)+cxB(2) :ghost_width-cxI(2)+cxT(2) ) = funf(i,cxB(2):cxT(2),k)
endif
call polint(Y,tmp1,0.d0,funf(i,j,k),ddy,2*ghost_width)
! for z direction
elseif(sum(fg).eq.2.and.fg(3) .eq. 0.and. &
(((cxI(3).gt.iub(3)).and.(ghost_width-cxI(3)+cxB(3)+1.gt.0)).or. &
(cxI(3).lt.ilb(3)).and.(ghost_width-cxI(3)+cxT(3).le.2*ghost_width)))then
#if (ghost_width == 2)
if(jj/2*2==jj)then
if(ii/2*2==ii)then
tmp2= C1*ya(1,:,:)+C2*ya(2,:,:)+C3*ya(3,:,:)+C4*ya(4,:,:)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)
else
tmp2= C4*ya(1,:,:)+C3*ya(2,:,:)+C2*ya(3,:,:)+C1*ya(4,:,:)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)
endif
else
if(ii/2*2==ii)then
tmp2= C1*ya(1,:,:)+C2*ya(2,:,:)+C3*ya(3,:,:)+C4*ya(4,:,:)
tmp1= C4*tmp2(1,:)+C3*tmp2(2,:)+C2*tmp2(3,:)+C1*tmp2(4,:)
else
tmp2= C4*ya(1,:,:)+C3*ya(2,:,:)+C2*ya(3,:,:)+C1*ya(4,:,:)
tmp1= C4*tmp2(1,:)+C3*tmp2(2,:)+C2*tmp2(3,:)+C1*tmp2(4,:)
endif
endif
#elif (ghost_width == 3)
if(jj/2*2==jj)then
if(ii/2*2==ii)then
tmp2= C1*ya(1,:,:)+C2*ya(2,:,:)+C3*ya(3,:,:)+C4*ya(4,:,:)+C5*ya(5,:,:)+C6*ya(6,:,:)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+C5*tmp2(5,:)+C6*tmp2(6,:)
else
tmp2= C6*ya(1,:,:)+C5*ya(2,:,:)+C4*ya(3,:,:)+C3*ya(4,:,:)+C2*ya(5,:,:)+C1*ya(6,:,:)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+C5*tmp2(5,:)+C6*tmp2(6,:)
endif
else
if(ii/2*2==ii)then
tmp2= C1*ya(1,:,:)+C2*ya(2,:,:)+C3*ya(3,:,:)+C4*ya(4,:,:)+C5*ya(5,:,:)+C6*ya(6,:,:)
tmp1= C6*tmp2(1,:)+C5*tmp2(2,:)+C4*tmp2(3,:)+C3*tmp2(4,:)+C2*tmp2(5,:)+C1*tmp2(6,:)
else
tmp2= C6*ya(1,:,:)+C5*ya(2,:,:)+C4*ya(3,:,:)+C3*ya(4,:,:)+C2*ya(5,:,:)+C1*ya(6,:,:)
tmp1= C6*tmp2(1,:)+C5*tmp2(2,:)+C4*tmp2(3,:)+C3*tmp2(4,:)+C2*tmp2(5,:)+C1*tmp2(6,:)
endif
endif
#elif (ghost_width == 4)
if(jj/2*2==jj)then
if(ii/2*2==ii)then
tmp2= C1*ya(1,:,:)+C2*ya(2,:,:)+C3*ya(3,:,:)+C4*ya(4,:,:)+&
C5*ya(5,:,:)+C6*ya(6,:,:)+C7*ya(7,:,:)+C8*ya(8,:,:)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+&
C5*tmp2(5,:)+C6*tmp2(6,:)+C7*tmp2(7,:)+C8*tmp2(8,:)
else
tmp2= C8*ya(1,:,:)+C7*ya(2,:,:)+C6*ya(3,:,:)+C5*ya(4,:,:)+&
C4*ya(5,:,:)+C3*ya(6,:,:)+C2*ya(7,:,:)+C1*ya(8,:,:)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+&
C5*tmp2(5,:)+C6*tmp2(6,:)+C7*tmp2(7,:)+C8*tmp2(8,:)
endif
else
if(ii/2*2==ii)then
tmp2= C1*ya(1,:,:)+C2*ya(2,:,:)+C3*ya(3,:,:)+C4*ya(4,:,:)+&
C5*ya(5,:,:)+C6*ya(6,:,:)+C7*ya(7,:,:)+C8*ya(8,:,:)
tmp1= C8*tmp2(1,:)+C7*tmp2(2,:)+C6*tmp2(3,:)+C5*tmp2(4,:)+&
C4*tmp2(5,:)+C3*tmp2(6,:)+C2*tmp2(7,:)+C1*tmp2(8,:)
else
tmp2= C8*ya(1,:,:)+C7*ya(2,:,:)+C6*ya(3,:,:)+C5*ya(4,:,:)+&
C4*ya(5,:,:)+C3*ya(6,:,:)+C2*ya(7,:,:)+C1*ya(8,:,:)
tmp1= C8*tmp2(1,:)+C7*tmp2(2,:)+C6*tmp2(3,:)+C5*tmp2(4,:)+&
C4*tmp2(5,:)+C3*tmp2(6,:)+C2*tmp2(7,:)+C1*tmp2(8,:)
endif
endif
#elif (ghost_width == 5)
if(jj/2*2==jj)then
if(ii/2*2==ii)then
tmp2= C1*ya(1,:,:)+C2*ya(2,:,:)+C3*ya(3,:,:)+C4*ya(4,:,:)+C5 *ya( 5,:,:)+&
C6*ya(6,:,:)+C7*ya(7,:,:)+C8*ya(8,:,:)+C9*ya(9,:,:)+C10*ya(10,:,:)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+C5 *tmp2( 5,:)+&
C6*tmp2(6,:)+C7*tmp2(7,:)+C8*tmp2(8,:)+C9*tmp2(9,:)+C10*tmp2(10,:)
else
tmp2= C10*ya(1,:,:)+C9*ya(2,:,:)+C8*ya(3,:,:)+C7*ya(4,:,:)+C6*ya( 5,:,:)+&
C5 *ya(6,:,:)+C4*ya(7,:,:)+C3*ya(8,:,:)+C2*ya(9,:,:)+C1*ya(10,:,:)
tmp1= C1*tmp2(1,:)+C2*tmp2(2,:)+C3*tmp2(3,:)+C4*tmp2(4,:)+C5 *tmp2( 5,:)+&
C6*tmp2(6,:)+C7*tmp2(7,:)+C8*tmp2(8,:)+C9*tmp2(9,:)+C10*tmp2(10,:)
endif
else
if(ii/2*2==ii)then
tmp2= C1*ya(1,:,:)+C2*ya(2,:,:)+C3*ya(3,:,:)+C4*ya(4,:,:)+C5 *ya( 5,:,:)+&
C6*ya(6,:,:)+C7*ya(7,:,:)+C8*ya(8,:,:)+C9*ya(9,:,:)+C10*ya(10,:,:)
tmp1= C10*tmp2(1,:)+C9*tmp2(2,:)+C8*tmp2(3,:)+C7*tmp2(4,:)+C6*tmp2( 5,:)+&
C5 *tmp2(6,:)+C4*tmp2(7,:)+C3*tmp2(8,:)+C2*tmp2(9,:)+C1*tmp2(10,:)
else
tmp2= C10*ya(1,:,:)+C9*ya(2,:,:)+C8*ya(3,:,:)+C7*ya(4,:,:)+C6*ya( 5,:,:)+&
C5 *ya(6,:,:)+C4*ya(7,:,:)+C3*ya(8,:,:)+C2*ya(9,:,:)+C1*ya(10,:,:)
tmp1= C10*tmp2(1,:)+C9*tmp2(2,:)+C8*tmp2(3,:)+C7*tmp2(4,:)+C6*tmp2( 5,:)+&
C5 *tmp2(6,:)+C4*tmp2(7,:)+C3*tmp2(8,:)+C2*tmp2(9,:)+C1*tmp2(10,:)
endif
endif
#endif
#if 1
if(cxI(3).gt.iub(3))then
! consistent to coarse level, always Z(ghost_width+1) = 0 for left
do n=cxB(3),cxT(3)
Z(ghost_width-cxI(3)+n+1) = dble(n-cxI(3))
enddo
tmp1(ghost_width-cxI(3)+cxB(3)+1:ghost_width-cxI(3)+cxT(3)+1) = funf(i,j,cxB(3):cxT(3))
elseif(cxI(3).lt.ilb(3))then
! consistent to coarse level, always Z(ghost_width ) = 0 for right
do n=cxB(3),cxT(3)
Z(ghost_width-cxI(3)+n ) = dble(n-cxI(3))
enddo
tmp1(ghost_width-cxI(3)+cxB(3) :ghost_width-cxI(3)+cxT(3) ) = funf(i,j,cxB(3):cxT(3))
endif
call polint(Z,tmp1,0.d0,funf(i,j,k),ddy,2*ghost_width)
#else
if(kk/2*2==kk)then
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
else
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
endif
#endif
else
#if (ghost_width == 2)
if(ii/2*2==ii)then
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)
else
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)
else
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)
endif
endif
else
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
funf(i,j,k)= C4*tmp1(1)+C3*tmp1(2)+C2*tmp1(3)+C1*tmp1(4)
else
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
funf(i,j,k)= C4*tmp1(1)+C3*tmp1(2)+C2*tmp1(3)+C1*tmp1(4)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
funf(i,j,k)= C4*tmp1(1)+C3*tmp1(2)+C2*tmp1(3)+C1*tmp1(4)
else
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
funf(i,j,k)= C4*tmp1(1)+C3*tmp1(2)+C2*tmp1(3)+C1*tmp1(4)
endif
endif
endif
#elif (ghost_width == 3)
if(ii/2*2==ii)then
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5*ya(:,:,5)+C6*ya(:,:,6)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
else
tmp2= C6*ya(:,:,1)+C5*ya(:,:,2)+C4*ya(:,:,3)+C3*ya(:,:,4)+C2*ya(:,:,5)+C1*ya(:,:,6)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5*ya(:,:,5)+C6*ya(:,:,6)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
else
tmp2= C6*ya(:,:,1)+C5*ya(:,:,2)+C4*ya(:,:,3)+C3*ya(:,:,4)+C2*ya(:,:,5)+C1*ya(:,:,6)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
endif
endif
else
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5*ya(:,:,5)+C6*ya(:,:,6)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
else
tmp2= C6*ya(:,:,1)+C5*ya(:,:,2)+C4*ya(:,:,3)+C3*ya(:,:,4)+C2*ya(:,:,5)+C1*ya(:,:,6)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5*ya(:,:,5)+C6*ya(:,:,6)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
else
tmp2= C6*ya(:,:,1)+C5*ya(:,:,2)+C4*ya(:,:,3)+C3*ya(:,:,4)+C2*ya(:,:,5)+C1*ya(:,:,6)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
endif
endif
endif
#elif (ghost_width == 4)
if(ii/2*2==ii)then
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+&
C5*tmp1(5)+C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)
else
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+&
C5*tmp1(5)+C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+&
C5*tmp1(5)+C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)
else
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+&
C5*tmp1(5)+C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)
endif
endif
else
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
funf(i,j,k)= C8*tmp1(1)+C7*tmp1(2)+C6*tmp1(3)+C5*tmp1(4)+&
C4*tmp1(5)+C3*tmp1(6)+C2*tmp1(7)+C1*tmp1(8)
else
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
funf(i,j,k)= C8*tmp1(1)+C7*tmp1(2)+C6*tmp1(3)+C5*tmp1(4)+&
C4*tmp1(5)+C3*tmp1(6)+C2*tmp1(7)+C1*tmp1(8)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
funf(i,j,k)= C8*tmp1(1)+C7*tmp1(2)+C6*tmp1(3)+C5*tmp1(4)+&
C4*tmp1(5)+C3*tmp1(6)+C2*tmp1(7)+C1*tmp1(8)
else
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
funf(i,j,k)= C8*tmp1(1)+C7*tmp1(2)+C6*tmp1(3)+C5*tmp1(4)+&
C4*tmp1(5)+C3*tmp1(6)+C2*tmp1(7)+C1*tmp1(8)
endif
endif
endif
#elif (ghost_width == 5)
if(ii/2*2==ii)then
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+ C5*tmp1( 5)+&
C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)+C9*tmp1(9)+C10*tmp1(10)
else
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5 *tmp1( 5)+&
C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)+C9*tmp1(9)+C10*tmp1(10)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5 *tmp1( 5)+&
C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)+C9*tmp1(9)+C10*tmp1(10)
else
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5 *tmp1( 5)+&
C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)+C9*tmp1(9)+C10*tmp1(10)
endif
endif
else
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
funf(i,j,k)= C10*tmp1(1)+C9*tmp1(2)+C8*tmp1(3)+C7*tmp1(4)+C6*tmp1( 5)+&
C5 *tmp1(6)+C4*tmp1(7)+C3*tmp1(8)+C2*tmp1(9)+C1*tmp1(10)
else
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
funf(i,j,k)= C10*tmp1(1)+C9*tmp1(2)+C8*tmp1(3)+C7*tmp1(4)+C6*tmp1( 5)+&
C5 *tmp1(6)+C4*tmp1(7)+C3*tmp1(8)+C2*tmp1(9)+C1*tmp1(10)
endif
else
if(kk/2*2==kk)then
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
funf(i,j,k)= C10*tmp1(1)+C9*tmp1(2)+C8*tmp1(3)+C7*tmp1(4)+C6*tmp1( 5)+&
C5 *tmp1(6)+C4*tmp1(7)+C3*tmp1(8)+C2*tmp1(9)+C1*tmp1(10)
else
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
funf(i,j,k)= C10*tmp1(1)+C9*tmp1(2)+C8*tmp1(3)+C7*tmp1(4)+C6*tmp1( 5)+&
C5 *tmp1(6)+C4*tmp1(7)+C3*tmp1(8)+C2*tmp1(9)+C1*tmp1(10)
endif
endif
endif
#endif
endif
enddo
enddo
enddo
return
end subroutine prolongmix3
!///////////////////////////////////////////////////////////////////////////////////////////////
! for different finite differnce order
#if (ghost_width == 2)
!--------------------------------------------------------------------------------------
!
! Restrict from finner grids to coarser grids ignore the boundary point
!
! 4 points, 3rd order interpolation
! 1 2 3 4
! *---*---*---*
! ^
! f=-1/16*(f_1+f_4) + 9/16*(f_2+f_3)
!--------------------------------------------------------------------------------------
subroutine restrict3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbr,uubr,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in)::wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbr,uubr
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(inout):: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(in):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbr,ubr,lbrf,ubrf
integer,dimension(3) :: cxB,cxT,cxI
integer :: i,j,k
real*8, dimension(4,4,4) :: ya
real*8, dimension(4,4) :: tmp2
real*8, dimension(4) :: tmp1
real*8, parameter :: C1=-1.d0/1.6d1,C2=9.d0/1.6d1
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
logical::decide3d
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::restrict3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
! note say base = 0, llbf = 0, uubf = 2
! llbf->1 and uubf->2
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbr = idint((llbr-base)/CD+0.4)+1
lbrf = idint((llbr-base)/FD+0.4)+1
ubr = idint((uubr-base)/CD+0.4)
ubrf = idint((uubr-base)/FD+0.4)
!sanity check
imino=lbr(1)-lbc(1) + 1
imaxo=ubr(1)-lbc(1) + 1
jmino=lbr(2)-lbc(2) + 1
jmaxo=ubr(2)-lbc(2) + 1
kmino=lbr(3)-lbc(3) + 1
kmaxo=ubr(3)-lbc(3) + 1
imini=lbrf(1)-lbf(1) + 1
imaxi=ubrf(1)-lbf(1) + 1
jmini=lbrf(2)-lbf(2) + 1
jmaxi=ubrf(2)-lbf(2) + 1
kmini=lbrf(3)-lbf(3) + 1
kmaxi=ubrf(3)-lbf(3) + 1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extc(1).or.jmaxo.gt.extc(2).or.kmaxo.gt.extc(3).or.&
imaxi.gt.extf(1)-1.or.jmaxi.gt.extf(2)-1.or.kmaxi.gt.extf(3)-1)then
write(*,*)"error in restrict for"
write(*,*)"from"
write(*,*)lbf,ubf
write(*,*)"to"
write(*,*)lbc,ubc
write(*,*)"want"
write(*,*)lbr,ubr,lbrf,ubrf
write(*,*)"llbf = ",llbf
write(*,*)"uubf = ",uubf
write(*,*)"llbc = ",llbc
write(*,*)"uubc = ",uubc
write(*,*)"llbr = ",llbr
write(*,*)"uubr = ",uubr
write(*,*)"base = ",base
stop
endif
!~~~~~~> restriction start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to fine level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = 2*(cxI+lbc-1) - 1
! change to array index
cxI = cxI - lbf + 1
if(any(cxI+2 > extf)) write(*,*)"error in restrict"
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= C1*(funf(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+funf(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2))&
+C2*(funf(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+funf(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1))
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extf,funf,funf,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"restrict3 position index: ",i+lbc(1)-1,j+lbc(2)-1,k+lbc(3)-1
stop
endif
tmp2=C1*(ya(:,:,1)+ya(:,:,4))+C2*(ya(:,:,2)+ya(:,:,3))
endif
tmp1= C1*(tmp2(:,1)+tmp2(:,4))+C2*(tmp2(:,2)+tmp2(:,3))
func(i,j,k)= C1*(tmp1(1)+tmp1(4))+C2*(tmp1(2)+tmp1(3))
enddo
enddo
enddo
return
end subroutine restrict3
!--------------------------------------------------------------------------
!
! Prolongation from coarser grids to finer grids
! 4 points, 3rd order interpolation
! 1 2 3 4
! *---*---*---*
! ^
! f=-7/128*f_1 + 105/128*f_2
! -5/128*f_4 + 35/128*f_3
!--------------------------------------------------------------------------
subroutine prolong3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbp,uubp,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in) :: wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbp,uubp
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(in) :: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(inout):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbp,ubp,lbpc,ubpc
integer,dimension(3) :: cxB,cxT,cxI
integer :: i,j,k,ii,jj,kk
real*8, dimension(4,4,4) :: ya
real*8, dimension(4,4) :: tmp2
real*8, dimension(4) :: tmp1
real*8, parameter :: C1=-7.d0/1.28d2,C2=1.05d2/1.28d2
real*8, parameter :: C4=-5.d0/1.28d2,C3= 3.5d1/1.28d2
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
logical::decide3d
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::prolong3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbp = idint((llbp-base)/FD+0.4)+1
lbpc = idint((llbp-base)/CD+0.4)+1
ubp = idint((uubp-base)/FD+0.4)
ubpc = idint((uubp-base)/CD+0.4)
!sanity check
imino=lbp(1)-lbf(1) + 1
imaxo=ubp(1)-lbf(1) + 1
jmino=lbp(2)-lbf(2) + 1
jmaxo=ubp(2)-lbf(2) + 1
kmino=lbp(3)-lbf(3) + 1
kmaxo=ubp(3)-lbf(3) + 1
imini=lbpc(1)-lbc(1) + 1
imaxi=ubpc(1)-lbc(1) + 1
jmini=lbpc(2)-lbc(2) + 1
jmaxi=ubpc(2)-lbc(2) + 1
kmini=lbpc(3)-lbc(3) + 1
kmaxi=ubpc(3)-lbc(3) + 1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extf(1).or.jmaxo.gt.extf(2).or.kmaxo.gt.extf(3).or.&
imaxi.gt.extc(1)-1.or.jmaxi.gt.extc(2)-1.or.kmaxi.gt.extc(3)-1)then
write(*,*)"error in prolongation for"
write(*,*)"from"
write(*,*)llbc,uubc
write(*,*)lbc,ubc
write(*,*)"to"
write(*,*)llbf,uubf
write(*,*)lbf,ubf
write(*,*)"want"
write(*,*)llbp,uubp
write(*,*)lbp,ubp,lbpc,ubpc
return
endif
!~~~~~~> prolongation start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
ii=i+lbf(1)-1
jj=j+lbf(2)-1
kk=k+lbf(3)-1
if(any(cxI+2 > extc)) write(*,*)"error in prolong"
if(ii/2*2==ii)then
if(jj/2*2==jj)then
if(kk/2*2==kk)then
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= C1*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
C2*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
C3*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
C4*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)
else
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= C4*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
C3*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
C2*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
C1*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)
endif
else
if(kk/2*2==kk)then
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= C1*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
C2*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
C3*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
C4*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
endif
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)
else
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= C4*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
C3*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
C2*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
C1*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
endif
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)
endif
endif
else
if(jj/2*2==jj)then
if(kk/2*2==kk)then
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= C1*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
C2*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
C3*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
C4*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
funf(i,j,k)= C4*tmp1(1)+C3*tmp1(2)+C2*tmp1(3)+C1*tmp1(4)
else
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= C4*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
C3*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
C2*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
C1*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)
funf(i,j,k)= C4*tmp1(1)+C3*tmp1(2)+C2*tmp1(3)+C1*tmp1(4)
endif
else
if(kk/2*2==kk)then
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= C1*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
C2*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
C3*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
C4*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)
endif
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
funf(i,j,k)= C4*tmp1(1)+C3*tmp1(2)+C2*tmp1(3)+C1*tmp1(4)
else
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= C4*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
C3*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
C2*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
C1*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C4*ya(:,:,1)+C3*ya(:,:,2)+C2*ya(:,:,3)+C1*ya(:,:,4)
endif
tmp1= C4*tmp2(:,1)+C3*tmp2(:,2)+C2*tmp2(:,3)+C1*tmp2(:,4)
funf(i,j,k)= C4*tmp1(1)+C3*tmp1(2)+C2*tmp1(3)+C1*tmp1(4)
endif
endif
endif
enddo
enddo
enddo
return
end subroutine prolong3
subroutine prolong3new(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbp,uubp,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in) :: wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbp,uubp
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(in) :: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(inout):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbp,ubp,lbpc,ubpc
integer,dimension(3) :: cxB,cxT,cxI
integer :: i,j,k,ii,jj,kk
real*8, dimension(4,4,4) :: ya
real*8, dimension(4,4) :: tmp2
real*8, dimension(4) :: tmp1
real*8, parameter :: C1=-7.d0/1.28d2,C2=1.05d2/1.28d2
real*8, parameter :: C4=-5.d0/1.28d2,C3= 3.5d1/1.28d2
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
logical::decide3d
real*8,dimension(3) :: CD,FD
real*8,dimension(3,4) :: CC
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::prolong3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbp = idint((llbp-base)/FD+0.4)+1
lbpc = idint((llbp-base)/CD+0.4)+1
ubp = idint((uubp-base)/FD+0.4)
ubpc = idint((uubp-base)/CD+0.4)
!sanity check
imino=lbp(1)-lbf(1) + 1
imaxo=ubp(1)-lbf(1) + 1
jmino=lbp(2)-lbf(2) + 1
jmaxo=ubp(2)-lbf(2) + 1
kmino=lbp(3)-lbf(3) + 1
kmaxo=ubp(3)-lbf(3) + 1
imini=lbpc(1)-lbc(1) + 1
imaxi=ubpc(1)-lbc(1) + 1
jmini=lbpc(2)-lbc(2) + 1
jmaxi=ubpc(2)-lbc(2) + 1
kmini=lbpc(3)-lbc(3) + 1
kmaxi=ubpc(3)-lbc(3) + 1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extf(1).or.jmaxo.gt.extf(2).or.kmaxo.gt.extf(3).or.&
imaxi.gt.extc(1)-2.or.jmaxi.gt.extc(2)-2.or.kmaxi.gt.extc(3)-2)then
write(*,*)"error in prolongation for"
write(*,*)"from"
write(*,*)llbc,uubc
write(*,*)lbc,ubc
write(*,*)"to"
write(*,*)llbf,uubf
write(*,*)lbf,ubf
write(*,*)"want"
write(*,*)llbp,uubp
write(*,*)lbp,ubp,lbpc,ubpc
return
endif
!~~~~~~> prolongation start...
do i=1,3
if(lbp(i)/2*2 == lbp(i))then
CC(i,1) = C1
CC(i,2) = C2
CC(i,3) = C3
CC(i,4) = C4
else
CC(i,1) = C4
CC(i,2) = C3
CC(i,3) = C2
CC(i,4) = C1
endif
enddo
do k = kmino,kmaxo,2
do j = jmino,jmaxo,2
do i = imino,imaxo,2
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= CC(3,1)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
CC(3,2)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
CC(3,3)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
CC(3,4)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= CC(3,1)*ya(:,:,1)+CC(3,2)*ya(:,:,2)+CC(3,3)*ya(:,:,3)+CC(3,4)*ya(:,:,4)
endif
tmp1= CC(2,1)*tmp2(:,1)+CC(2,2)*tmp2(:,2)+CC(2,3)*tmp2(:,3)+CC(2,4)*tmp2(:,4)
funf(i,j,k)= CC(1,1)*tmp1(1)+CC(1,2)*tmp1(2)+CC(1,3)*tmp1(3)+CC(1,4)*tmp1(4)
enddo
enddo
enddo
do k = kmino+1,kmaxo,2
do j = jmino,jmaxo,2
do i = imino,imaxo,2
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= CC(3,4)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
CC(3,3)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
CC(3,2)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
CC(3,1)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= CC(3,4)*ya(:,:,1)+CC(3,3)*ya(:,:,2)+CC(3,2)*ya(:,:,3)+CC(3,1)*ya(:,:,4)
endif
tmp1= CC(2,1)*tmp2(:,1)+CC(2,2)*tmp2(:,2)+CC(2,3)*tmp2(:,3)+CC(2,4)*tmp2(:,4)
funf(i,j,k)= CC(1,1)*tmp1(1)+CC(1,2)*tmp1(2)+CC(1,3)*tmp1(3)+CC(1,4)*tmp1(4)
enddo
enddo
enddo
do k = kmino,kmaxo,2
do j = jmino+1,jmaxo,2
do i = imino,imaxo,2
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= CC(3,1)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
CC(3,2)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
CC(3,3)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
CC(3,4)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= CC(3,1)*ya(:,:,1)+CC(3,2)*ya(:,:,2)+CC(3,3)*ya(:,:,3)+CC(3,4)*ya(:,:,4)
endif
tmp1= CC(2,4)*tmp2(:,1)+CC(2,3)*tmp2(:,2)+CC(2,2)*tmp2(:,3)+CC(2,1)*tmp2(:,4)
funf(i,j,k)= CC(1,1)*tmp1(1)+CC(1,2)*tmp1(2)+CC(1,3)*tmp1(3)+CC(1,4)*tmp1(4)
enddo
enddo
enddo
do k = kmino+1,kmaxo,2
do j = jmino+1,jmaxo,2
do i = imino,imaxo,2
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= CC(3,4)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
CC(3,3)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
CC(3,2)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
CC(3,1)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= CC(3,4)*ya(:,:,1)+CC(3,3)*ya(:,:,2)+CC(3,2)*ya(:,:,3)+CC(3,1)*ya(:,:,4)
endif
tmp1= CC(2,4)*tmp2(:,1)+CC(2,3)*tmp2(:,2)+CC(2,2)*tmp2(:,3)+CC(2,1)*tmp2(:,4)
funf(i,j,k)= CC(1,1)*tmp1(1)+CC(1,2)*tmp1(2)+CC(1,3)*tmp1(3)+CC(1,4)*tmp1(4)
enddo
enddo
enddo
do k = kmino,kmaxo,2
do j = jmino,jmaxo,2
do i = imino+1,imaxo,2
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= CC(3,1)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
CC(3,2)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
CC(3,3)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
CC(3,4)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= CC(3,1)*ya(:,:,1)+CC(3,2)*ya(:,:,2)+CC(3,3)*ya(:,:,3)+CC(3,4)*ya(:,:,4)
endif
tmp1= CC(2,1)*tmp2(:,1)+CC(2,2)*tmp2(:,2)+CC(2,3)*tmp2(:,3)+CC(2,4)*tmp2(:,4)
funf(i,j,k)= CC(1,4)*tmp1(1)+CC(1,3)*tmp1(2)+CC(1,2)*tmp1(3)+CC(1,1)*tmp1(4)
enddo
enddo
enddo
do k = kmino+1,kmaxo,2
do j = jmino,jmaxo,2
do i = imino+1,imaxo,2
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= CC(3,4)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
CC(3,3)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
CC(3,2)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
CC(3,1)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= CC(3,4)*ya(:,:,1)+CC(3,3)*ya(:,:,2)+CC(3,2)*ya(:,:,3)+CC(3,1)*ya(:,:,4)
endif
tmp1= CC(2,1)*tmp2(:,1)+CC(2,2)*tmp2(:,2)+CC(2,3)*tmp2(:,3)+CC(2,4)*tmp2(:,4)
funf(i,j,k)= CC(1,4)*tmp1(1)+CC(1,3)*tmp1(2)+CC(1,2)*tmp1(3)+CC(1,1)*tmp1(4)
enddo
enddo
enddo
do k = kmino,kmaxo,2
do j = jmino+1,jmaxo,2
do i = imino+1,imaxo,2
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= CC(3,1)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
CC(3,2)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
CC(3,3)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
CC(3,4)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= CC(3,1)*ya(:,:,1)+CC(3,2)*ya(:,:,2)+CC(3,3)*ya(:,:,3)+CC(3,4)*ya(:,:,4)
endif
tmp1= CC(2,4)*tmp2(:,1)+CC(2,3)*tmp2(:,2)+CC(2,2)*tmp2(:,3)+CC(2,1)*tmp2(:,4)
funf(i,j,k)= CC(1,4)*tmp1(1)+CC(1,3)*tmp1(2)+CC(1,2)*tmp1(3)+CC(1,1)*tmp1(4)
enddo
enddo
enddo
do k = kmino+1,kmaxo,2
do j = jmino+1,jmaxo,2
do i = imino+1,imaxo,2
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>1.and.cxI(2)>1.and.cxI(3)>1)then
tmp2= CC(3,4)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)-1)+&
CC(3,3)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3) )+&
CC(3,2)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+1)+&
CC(3,1)*func(cxI(1)-1:cxI(1)+2,cxI(2)-1:cxI(2)+2,cxI(3)+2)
else
cxB=cxI-1
cxT=cxI+2
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,4,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= CC(3,4)*ya(:,:,1)+CC(3,3)*ya(:,:,2)+CC(3,2)*ya(:,:,3)+CC(3,1)*ya(:,:,4)
endif
tmp1= CC(2,4)*tmp2(:,1)+CC(2,3)*tmp2(:,2)+CC(2,2)*tmp2(:,3)+CC(2,1)*tmp2(:,4)
funf(i,j,k)= CC(1,4)*tmp1(1)+CC(1,3)*tmp1(2)+CC(1,2)*tmp1(3)+CC(1,1)*tmp1(4)
enddo
enddo
enddo
return
end subroutine prolong3new
#elif (ghost_width == 3)
! fourth order code
!--------------------------------------------------------------------------
!
! Prolongation from coarser grids to finer grids
! 6 points, 5th order interpolation
! 1 2 3 4 5 6
! *---*---*---*---*---*
! ^
! f=77/8192*f_1 - 693/8192*f_2 + 3465/4096*f_3 +
! 63/8192*f_6 - 495/8192*f_5 + 1155/4096*f_4
!--------------------------------------------------------------------------
#if 1
subroutine prolong3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbp,uubp,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in) :: wei
! coarse fine fine
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbp,uubp
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(in) :: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(inout):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbp,ubp,lbpc,ubpc
! when if=1 -> ic=0, this is different to vertex center grid
real*8, dimension(-2:extc(1),-2:extc(2),-2:extc(3)) :: funcc
integer,dimension(3) :: cxI
integer :: i,j,k,ii,jj,kk
real*8, dimension(6,6) :: tmp2
real*8, dimension(6) :: tmp1
real*8, parameter :: C1=7.7d1/8.192d3,C2=-6.93d2/8.192d3,C3=3.465d3/4.096d3
real*8, parameter :: C6=6.3d1/8.192d3,C5=-4.95d2/8.192d3,C4=1.155d3/4.096d3
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::prolong3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
if(any(dabs(CD-2*FD)>1.d-10))then
write(*,*)"prolong:",CD,FD
stop
endif
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbp = idint((llbp-base)/FD+0.4)+1
lbpc = idint((llbp-base)/CD+0.4)+1 ! this is wrong, but not essential
ubp = idint((uubp-base)/FD+0.4)
ubpc = idint((uubp-base)/CD+0.4) ! this is wrong, but not essential
!sanity check
imino=lbp(1)-lbf(1) + 1
imaxo=ubp(1)-lbf(1) + 1
jmino=lbp(2)-lbf(2) + 1
jmaxo=ubp(2)-lbf(2) + 1
kmino=lbp(3)-lbf(3) + 1
kmaxo=ubp(3)-lbf(3) + 1
imini=lbpc(1)-lbc(1) + 1
imaxi=ubpc(1)-lbc(1) + 1
jmini=lbpc(2)-lbc(2) + 1
jmaxi=ubpc(2)-lbc(2) + 1
kmini=lbpc(3)-lbc(3) + 1
kmaxi=ubpc(3)-lbc(3) + 1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extf(1).or.jmaxo.gt.extf(2).or.kmaxo.gt.extf(3).or.&
imaxi.gt.extc(1)-2.or.jmaxi.gt.extc(2)-2.or.kmaxi.gt.extc(3)-2)then
write(*,*)"error in prolongation for"
write(*,*)"from"
write(*,*)llbc,uubc
write(*,*)lbc,ubc
write(*,*)"to"
write(*,*)llbf,uubf
write(*,*)lbf,ubf
write(*,*)"want"
write(*,*)llbp,uubp
write(*,*)lbp,ubp,lbpc,ubpc
return
endif
call symmetry_bd(3,extc,func,funcc,SoA)
!~~~~~~> prolongation start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
if(any(cxI+3 > extc)) write(*,*)"error in prolong"
ii=i+lbf(1)-1
jj=j+lbf(2)-1
kk=k+lbf(3)-1
#if 0
if(ii/2*2==ii)then
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
else
tmp2= C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
endif
else
if(kk/2*2==kk)then
tmp2= C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
else
tmp2= C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
endif
endif
else
if(jj/2*2==jj)then
if(kk/2*2==kk)then
tmp2= C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
else
tmp2= C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
endif
else
if(kk/2*2==kk)then
tmp2= C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
else
tmp2= C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
endif
endif
endif
#else
if(kk/2*2==kk)then
tmp2= C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
else
tmp2= C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
endif
if(jj/2*2==jj)then
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
else
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
endif
if(ii/2*2==ii)then
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
else
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
endif
#endif
enddo
enddo
enddo
return
end subroutine prolong3
#else
subroutine prolong3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbp,uubp,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in) :: wei
! coarse fine fine
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbp,uubp
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(in) :: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(inout):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(extc(1)) :: cX
real*8, dimension(extc(2)) :: cY
real*8, dimension(extc(3)) :: cZ
real*8, dimension(extf(1)) :: fX
real*8, dimension(extf(2)) :: fY
real*8, dimension(extf(3)) :: fZ
! when if=1 -> ic=0, this is different to vertex center grid
real*8, dimension(-2:extc(1),-2:extc(2),-2:extc(3)) :: funcc
integer,dimension(3) :: cxI
integer :: i,j,k
real*8, dimension(6,6) :: tmp2
real*8, dimension(6) :: tmp1
real*8, parameter :: C1=7.7d1/8.192d3,C2=-6.93d2/8.192d3,C3=3.465d3/4.096d3
real*8, parameter :: C6=6.3d1/8.192d3,C5=-4.95d2/8.192d3,C4=1.155d3/4.096d3
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
real*8,dimension(3) :: CD,FD
real*8 :: tr
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::prolong3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
do i=1,extc(1)
cX(i) = llbc(1) + (i-0.5d0)*CD(1)
enddo
do i=1,extc(2)
cY(i) = llbc(2) + (i-0.5d0)*CD(2)
enddo
do i=1,extc(3)
cZ(i) = llbc(3) + (i-0.5d0)*CD(3)
enddo
do i=1,extf(1)
fX(i) = llbf(1) + (i-0.5d0)*FD(1)
enddo
do i=1,extf(2)
fY(i) = llbf(2) + (i-0.5d0)*FD(2)
enddo
do i=1,extf(3)
fZ(i) = llbf(3) + (i-0.5d0)*FD(3)
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
!sanity check, 0.4 is for round off error
imino=idint((llbp(1)-fX(1))/FD(1)+0.5+0.4)+1
imaxo=idint((uubp(1)-fX(1))/FD(1)-0.5+0.4)+1
jmino=idint((llbp(2)-fY(1))/FD(2)+0.5+0.4)+1
jmaxo=idint((uubp(2)-fY(1))/FD(2)-0.5+0.4)+1
kmino=idint((llbp(3)-fZ(1))/FD(3)+0.5+0.4)+1
kmaxo=idint((uubp(3)-fZ(1))/FD(3)-0.5+0.4)+1
! these are wrong, butnot essential
imini=idint((llbp(1)-cX(1))/CD(1)+0.5)+1
imaxi=idint((uubp(1)-cX(1))/CD(1)-0.5)+1
jmini=idint((llbp(2)-cY(1))/CD(2)+0.5)+1
jmaxi=idint((uubp(2)-cY(1))/CD(2)-0.5)+1
kmini=idint((llbp(3)-cZ(1))/CD(3)+0.5)+1
kmaxi=idint((uubp(3)-cZ(1))/CD(3)-0.5)+1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extf(1).or.jmaxo.gt.extf(2).or.kmaxo.gt.extf(3).or.&
imaxi.gt.extc(1)-2.or.jmaxi.gt.extc(2)-2.or.kmaxi.gt.extc(3)-2)then
write(*,*)"error in prolongation for"
write(*,*)"from"
write(*,*)llbc,uubc
write(*,*)"to"
write(*,*)llbf,uubf
write(*,*)"want"
write(*,*)llbp,uubp
return
endif
call symmetry_bd(3,extc,func,funcc,SoA)
!~~~~~~> prolongation start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
! floor(4.8)= 4,floor(-5.6)= - 6
cxI(1) = floor((fX(i)-cX(1))/CD(1))+1
cxI(2) = floor((fY(j)-cY(1))/CD(2))+1
cxI(3) = floor((fZ(k)-cZ(1))/CD(3))+1
tr = cZ(1)+(cxI(3)-1)*CD(3)
if(fZ(k)-tr < FD(3))then
tmp2= C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
else
tmp2= C6*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+&
C5*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+&
C4*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+&
C3*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1)+&
C2*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2)+&
C1*funcc(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3)
endif
tr = cY(1)+(cxI(2)-1)*CD(2)
if(fY(j)-tr < FD(2))then
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5*tmp2(:,5)+C6*tmp2(:,6)
else
tmp1= C6*tmp2(:,1)+C5*tmp2(:,2)+C4*tmp2(:,3)+C3*tmp2(:,4)+C2*tmp2(:,5)+C1*tmp2(:,6)
endif
tr = cX(1)+(cxI(1)-1)*CD(1)
if(fX(i)-tr < FD(1))then
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5*tmp1(5)+C6*tmp1(6)
else
funf(i,j,k)= C6*tmp1(1)+C5*tmp1(2)+C4*tmp1(3)+C3*tmp1(4)+C2*tmp1(5)+C1*tmp1(6)
endif
enddo
enddo
enddo
return
end subroutine prolong3
#endif
!--------------------------------------------------------------------------
!
! Restrict from finner grids to coarser grids ignore the boundary point
!
! 6 points, 5th order interpolation
! 1 2 3 4 5 6
! *---*---*---*---*---*
! ^
! f=3/256*(f_1+f_6) - 25/256*(f_2+f_5) + 75/128*(f_3+f_4)
!--------------------------------------------------------------------------
#if 1
subroutine restrict3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbr,uubr,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in)::wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbr,uubr
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(inout):: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(in):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbr,ubr,lbrf,ubrf
real*8, dimension(-1:extf(1),-1:extf(2),-1:extf(3)):: funff
integer,dimension(3) :: cxI
integer :: i,j,k
real*8, dimension(6,6) :: tmp2
real*8, dimension(6) :: tmp1
real*8, parameter :: C1=3.d0/2.56d2,C2=-2.5d1/2.56d2,C3=7.5d1/1.28d2
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::restrict3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
if(any(dabs(CD-2*FD)>1.d-10))then
write(*,*)"restrict:",CD,FD
stop
endif
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
! note say base = 0, llbf = 0, uubf = 2
! llbf->1 and uubf->2
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbr = idint((llbr-base)/CD+0.4)+1
lbrf = idint((llbr-base)/FD+0.4)+1 !this is wrong but not essential
ubr = idint((uubr-base)/CD+0.4)
ubrf = idint((uubr-base)/FD+0.4) !this is wrong but not essential
!sanity check
imino=lbr(1)-lbc(1) + 1
imaxo=ubr(1)-lbc(1) + 1
jmino=lbr(2)-lbc(2) + 1
jmaxo=ubr(2)-lbc(2) + 1
kmino=lbr(3)-lbc(3) + 1
kmaxo=ubr(3)-lbc(3) + 1
imini=lbrf(1)-lbf(1) + 1
imaxi=ubrf(1)-lbf(1) + 1
jmini=lbrf(2)-lbf(2) + 1
jmaxi=ubrf(2)-lbf(2) + 1
kmini=lbrf(3)-lbf(3) + 1
kmaxi=ubrf(3)-lbf(3) + 1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extc(1).or.jmaxo.gt.extc(2).or.kmaxo.gt.extc(3).or.&
imaxi.gt.extf(1)-2.or.jmaxi.gt.extf(2)-2.or.kmaxi.gt.extf(3)-2)then
write(*,*)"error in restrict for"
write(*,*)"from"
write(*,*)lbf,ubf
write(*,*)"to"
write(*,*)lbc,ubc
write(*,*)"want"
write(*,*)lbr,ubr,lbrf,ubrf
write(*,*)"llbf = ",llbf
write(*,*)"uubf = ",uubf
write(*,*)"llbc = ",llbc
write(*,*)"uubc = ",uubc
write(*,*)"llbr = ",llbr
write(*,*)"uubr = ",uubr
write(*,*)"base = ",base
stop
endif
call symmetry_bd(2,extf,funf,funff,SoA)
!~~~~~~> restriction start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to fine level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = 2*(cxI+lbc-1) - 1
! change to array index
cxI = cxI - lbf + 1
if(any(cxI+3 > extf)) write(*,*)"error in restrict"
tmp2= C1*(funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3))&
+C2*(funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2))&
+C3*(funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1))
tmp1= C1*(tmp2(:,1)+tmp2(:,6))+C2*(tmp2(:,2)+tmp2(:,5))+C3*(tmp2(:,3)+tmp2(:,4))
func(i,j,k)= C1*(tmp1(1)+tmp1(6))+C2*(tmp1(2)+tmp1(5))+C3*(tmp1(3)+tmp1(4))
enddo
enddo
enddo
return
end subroutine restrict3
#else
subroutine restrict3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbr,uubr,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in)::wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbr,uubr
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(inout):: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(in):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(extc(1)) :: cX
real*8, dimension(extc(2)) :: cY
real*8, dimension(extc(3)) :: cZ
real*8, dimension(extf(1)) :: fX
real*8, dimension(extf(2)) :: fY
real*8, dimension(extf(3)) :: fZ
real*8, dimension(-1:extf(1),-1:extf(2),-1:extf(3)):: funff
integer,dimension(3) :: cxI
integer :: i,j,k
real*8, dimension(6,6) :: tmp2
real*8, dimension(6) :: tmp1
real*8, parameter :: C1=3.d0/2.56d2,C2=-2.5d1/2.56d2,C3=7.5d1/1.28d2
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::restrict3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
do i=1,extc(1)
cX(i) = llbc(1) + (i-0.5)*CD(1)
enddo
do i=1,extc(2)
cY(i) = llbc(2) + (i-0.5)*CD(2)
enddo
do i=1,extc(3)
cZ(i) = llbc(3) + (i-0.5)*CD(3)
enddo
do i=1,extf(1)
fX(i) = llbf(1) + (i-0.5)*FD(1)
enddo
do i=1,extf(2)
fY(i) = llbf(2) + (i-0.5)*FD(2)
enddo
do i=1,extf(3)
fZ(i) = llbf(3) + (i-0.5)*FD(3)
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
!sanity check
!these are wrong but not essential
imini=idint((llbr(1)-fX(1))/FD(1)+0.5)+1
imaxi=idint((uubr(1)-fX(1))/FD(1)-0.5)+1
jmini=idint((llbr(2)-fY(1))/FD(2)+0.5)+1
jmaxi=idint((uubr(2)-fY(1))/FD(2)-0.5)+1
kmini=idint((llbr(3)-fZ(1))/FD(3)+0.5)+1
kmaxi=idint((uubr(3)-fZ(1))/FD(3)-0.5)+1
imino=idint((llbr(1)-cX(1))/CD(1)+0.5+0.4)+1
imaxo=idint((uubr(1)-cX(1))/CD(1)-0.5+0.4)+1
jmino=idint((llbr(2)-cY(1))/CD(2)+0.5+0.4)+1
jmaxo=idint((uubr(2)-cY(1))/CD(2)-0.5+0.4)+1
kmino=idint((llbr(3)-cZ(1))/CD(3)+0.5+0.4)+1
kmaxo=idint((uubr(3)-cZ(1))/CD(3)-0.5+0.4)+1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extc(1).or.jmaxo.gt.extc(2).or.kmaxo.gt.extc(3).or.&
imaxi.gt.extf(1)-2.or.jmaxi.gt.extf(2)-2.or.kmaxi.gt.extf(3)-2)then
write(*,*)"error in restrict for"
write(*,*)"from"
write(*,*)llbf,uubf
write(*,*)"to"
write(*,*)llbc,uubc
write(*,*)"want"
write(*,*)llbr,uubr
stop
endif
call symmetry_bd(2,extf,funf,funff,SoA)
!~~~~~~> restriction start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
! floor(4.8)= 4,floor(-5.6)= - 6
cxI(1) = floor((CX(i)-fX(1))/FD(1))+1
cxI(2) = floor((CY(j)-fY(1))/FD(2))+1
cxI(3) = floor((CZ(k)-fZ(1))/FD(3))+1
tmp2= C1*(funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-2)+funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+3))&
+C2*(funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)-1)+funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+2))&
+C3*(funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3) )+funff(cxI(1)-2:cxI(1)+3,cxI(2)-2:cxI(2)+3,cxI(3)+1))
tmp1= C1*(tmp2(:,1)+tmp2(:,6))+C2*(tmp2(:,2)+tmp2(:,5))+C3*(tmp2(:,3)+tmp2(:,4))
func(i,j,k)= C1*(tmp1(1)+tmp1(6))+C2*(tmp1(2)+tmp1(5))+C3*(tmp1(3)+tmp1(4))
enddo
enddo
enddo
return
end subroutine restrict3
#endif
#elif (ghost_width == 4)
! sixth order code
!--------------------------------------------------------------------------------------
!
! Restrict from finner grids to coarser grids ignore the boundary point
!
! 8 points, 7th order interpolation
! 1 2 3 4 5 6 7 8
! *---*---*---*---*---*---*---*
! ^
! f=-5/2048*(f_1+f_8) + 49/2048*(f_2+f_7) - 245/2048*(f_3+f_6) + 1225/2048*(f_4+f_5)
!--------------------------------------------------------------------------------------
subroutine restrict3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbr,uubr,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in)::wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbr,uubr
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(inout):: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(in):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbr,ubr,lbrf,ubrf
integer,dimension(3) :: cxB,cxT,cxI
integer :: i,j,k
real*8, dimension(8,8,8) :: ya
real*8, dimension(8,8) :: tmp2
real*8, dimension(8) :: tmp1
real*8, parameter :: C1=-5.d0/2.048d3,C2=4.9d1/2.048d3,C3=-2.45d2/2.048d3,C4=1.225d3/2.048d3
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
logical::decide3d
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::restrict3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
! note say base = 0, llbf = 0, uubf = 2
! llbf->1 and uubf->2
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbr = idint((llbr-base)/CD+0.4)+1
lbrf = idint((llbr-base)/FD+0.4)+1
ubr = idint((uubr-base)/CD+0.4)
ubrf = idint((uubr-base)/FD+0.4)
!sanity check
imino=lbr(1)-lbc(1) + 1
imaxo=ubr(1)-lbc(1) + 1
jmino=lbr(2)-lbc(2) + 1
jmaxo=ubr(2)-lbc(2) + 1
kmino=lbr(3)-lbc(3) + 1
kmaxo=ubr(3)-lbc(3) + 1
imini=lbrf(1)-lbf(1) + 1
imaxi=ubrf(1)-lbf(1) + 1
jmini=lbrf(2)-lbf(2) + 1
jmaxi=ubrf(2)-lbf(2) + 1
kmini=lbrf(3)-lbf(3) + 1
kmaxi=ubrf(3)-lbf(3) + 1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extc(1).or.jmaxo.gt.extc(2).or.kmaxo.gt.extc(3).or.&
imaxi.gt.extf(1)-3.or.jmaxi.gt.extf(2)-3.or.kmaxi.gt.extf(3)-3)then
!-3 is because
!|-x---x-|-x---x-|-x---
!|- -*- -|
write(*,*)"error in restrict for"
write(*,*)"from"
write(*,*)lbf,ubf
write(*,*)"to"
write(*,*)lbc,ubc
write(*,*)"want"
write(*,*)lbr,ubr,lbrf,ubrf
write(*,*)"llbf = ",llbf
write(*,*)"uubf = ",uubf
write(*,*)"llbc = ",llbc
write(*,*)"uubc = ",uubc
write(*,*)"llbr = ",llbr
write(*,*)"uubr = ",uubr
write(*,*)"base = ",base
stop
endif
!~~~~~~> restriction start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to fine level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = 2*(cxI+lbc-1) - 1
! change to array index
cxI = cxI - lbf + 1
if(any(cxI+4 > extf)) write(*,*)"error in restrict"
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>3.and.cxI(2)>3.and.cxI(3)>3)then
tmp2= C1*(funf(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-3)+funf(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+4))&
+C2*(funf(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-2)+funf(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+3))&
+C3*(funf(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-1)+funf(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+2))&
+C4*(funf(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3) )+funf(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+1))
else
cxB=cxI-3
cxT=cxI+4
if(decide3d(extf,funf,funf,cxB,cxT,SoA,ya,8,Symmetry))then
write(*,*)"restrict3 position index: ",i+lbc(1)-1,j+lbc(2)-1,k+lbc(3)-1
stop
endif
tmp2=C1*(ya(:,:,1)+ya(:,:,8))+C2*(ya(:,:,2)+ya(:,:,7))+C3*(ya(:,:,3)+ya(:,:,6))+C4*(ya(:,:,4)+ya(:,:,5))
endif
tmp1= C1*(tmp2(:,1)+tmp2(:,8))+C2*(tmp2(:,2)+tmp2(:,7))+C3*(tmp2(:,3)+tmp2(:,6))+C4*(tmp2(:,4)+tmp2(:,5))
func(i,j,k)= C1*(tmp1(1)+tmp1(8))+C2*(tmp1(2)+tmp1(7))+C3*(tmp1(3)+tmp1(6))+C4*(tmp1(4)+tmp1(5))
enddo
enddo
enddo
return
end subroutine restrict3
!--------------------------------------------------------------------------
!
! Prolongation from coarser grids to finer grids
! 8 points, 7th order interpolation
! 1 2 3 4 5 6 7 8
! *---*---*---*---*---*---*---*
! ^
! f=-495/262144*f_1 + 5005/262144*f_2 - 27027/262144*f_3 + 225225/262144*f_4
! -429/262144*f_8 + 4095/262144*f_7 - 19305/262144*f_6 + 75075/262144*f_5
!--------------------------------------------------------------------------
subroutine prolong3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbp,uubp,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in) :: wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbp,uubp
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(in) :: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(inout):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbp,ubp,lbpc,ubpc
integer,dimension(3) :: cxB,cxT,cxI
integer :: i,j,k,ii,jj,kk
real*8, dimension(8,8,8) :: ya
real*8, dimension(8,8) :: tmp2
real*8, dimension(8) :: tmp1
real*8, parameter :: C1=-4.95d2/2.62144d5,C2=5.005d3/2.62144d5,C3=-2.7027d4/2.62144d5,C4=2.25225d5/2.62144d5
real*8, parameter :: C8=-4.29d2/2.62144d5,C7=4.095d3/2.62144d5,C6=-1.9305d4/2.62144d5,C5=7.5075d4/2.62144d5
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
logical::decide3d
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::prolong3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbp = idint((llbp-base)/FD+0.4)+1
lbpc = idint((llbp-base)/CD+0.4)+1
ubp = idint((uubp-base)/FD+0.4)
ubpc = idint((uubp-base)/CD+0.4)
!sanity check
imino=lbp(1)-lbf(1) + 1
imaxo=ubp(1)-lbf(1) + 1
jmino=lbp(2)-lbf(2) + 1
jmaxo=ubp(2)-lbf(2) + 1
kmino=lbp(3)-lbf(3) + 1
kmaxo=ubp(3)-lbf(3) + 1
imini=lbpc(1)-lbc(1) + 1
imaxi=ubpc(1)-lbc(1) + 1
jmini=lbpc(2)-lbc(2) + 1
jmaxi=ubpc(2)-lbc(2) + 1
kmini=lbpc(3)-lbc(3) + 1
kmaxi=ubpc(3)-lbc(3) + 1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extf(1).or.jmaxo.gt.extf(2).or.kmaxo.gt.extf(3).or.&
imaxi.gt.extc(1)-3.or.jmaxi.gt.extc(2)-3.or.kmaxi.gt.extc(3)-3)then
write(*,*)"error in prolongation for"
write(*,*)"from"
write(*,*)llbc,uubc
write(*,*)lbc,ubc
write(*,*)"to"
write(*,*)llbf,uubf
write(*,*)lbf,ubf
write(*,*)"want"
write(*,*)llbp,uubp
write(*,*)lbp,ubp,lbpc,ubpc
return
endif
!~~~~~~> prolongation start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
if(any(cxI+4 > extc)) write(*,*)"error in prolong"
ii=i+lbf(1)-1
jj=j+lbf(2)-1
kk=k+lbf(3)-1
if(ii/2*2==ii)then
if(jj/2*2==jj)then
if(kk/2*2==kk)then
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>3.and.cxI(2)>3.and.cxI(3)>3)then
tmp2= C1*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-3)+&
C2*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-2)+&
C3*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-1)+&
C4*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3) )+&
C5*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+1)+&
C6*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+2)+&
C7*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+3)+&
C8*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+4)
else
cxB=cxI-3
cxT=cxI+4
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,8,Symmetry))then
write(*,*)"prolong3 position: "
write(*,*)llbf(1)+(i-0.5)*FD(1),llbf(2)+(j-0.5)*FD(2),llbf(3)+(k-0.5)*FD(3)
write(*,*)"llbf = ",llbf
stop
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+&
C5*tmp1(5)+C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)
else
if(cxI(1)>3.and.cxI(2)>3.and.cxI(3)>3)then
tmp2= C8*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-3)+&
C7*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-2)+&
C6*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-1)+&
C5*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3) )+&
C4*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+1)+&
C3*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+2)+&
C2*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+3)+&
C1*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+4)
else
cxB=cxI-3
cxT=cxI+4
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,8,Symmetry))then
write(*,*)"prolong3 position: "
write(*,*)llbf(1)+(i-0.5)*FD(1),llbf(2)+(j-0.5)*FD(2),llbf(3)+(k-0.5)*FD(3)
write(*,*)"llbf = ",llbf
stop
endif
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+&
C5*tmp1(5)+C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)
endif
else
if(kk/2*2==kk)then
if(cxI(1)>3.and.cxI(2)>3.and.cxI(3)>3)then
tmp2= C1*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-3)+&
C2*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-2)+&
C3*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-1)+&
C4*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3) )+&
C5*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+1)+&
C6*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+2)+&
C7*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+3)+&
C8*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+4)
else
cxB=cxI-3
cxT=cxI+4
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,8,Symmetry))then
write(*,*)"prolong3 position: "
write(*,*)llbf(1)+(i-0.5)*FD(1),llbf(2)+(j-0.5)*FD(2),llbf(3)+(k-0.5)*FD(3)
write(*,*)"llbf = ",llbf
stop
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
endif
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+&
C5*tmp1(5)+C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)
else
if(cxI(1)>3.and.cxI(2)>3.and.cxI(3)>3)then
tmp2= C8*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-3)+&
C7*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-2)+&
C6*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-1)+&
C5*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3) )+&
C4*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+1)+&
C3*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+2)+&
C2*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+3)+&
C1*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+4)
else
cxB=cxI-3
cxT=cxI+4
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,8,Symmetry))then
write(*,*)"prolong3 position: "
write(*,*)llbf(1)+(i-0.5)*FD(1),llbf(2)+(j-0.5)*FD(2),llbf(3)+(k-0.5)*FD(3)
write(*,*)"llbf = ",llbf
stop
endif
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
endif
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+&
C5*tmp1(5)+C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)
endif
endif
else
if(jj/2*2==jj)then
if(kk/2*2==kk)then
if(cxI(1)>3.and.cxI(2)>3.and.cxI(3)>3)then
tmp2= C1*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-3)+&
C2*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-2)+&
C3*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-1)+&
C4*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3) )+&
C5*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+1)+&
C6*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+2)+&
C7*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+3)+&
C8*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+4)
else
cxB=cxI-3
cxT=cxI+4
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,8,Symmetry))then
write(*,*)"prolong3 position: "
write(*,*)llbf(1)+(i-0.5)*FD(1),llbf(2)+(j-0.5)*FD(2),llbf(3)+(k-0.5)*FD(3)
write(*,*)"llbf = ",llbf
stop
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
funf(i,j,k)= C8*tmp1(1)+C7*tmp1(2)+C6*tmp1(3)+C5*tmp1(4)+&
C4*tmp1(5)+C3*tmp1(6)+C2*tmp1(7)+C1*tmp1(8)
else
if(cxI(1)>3.and.cxI(2)>3.and.cxI(3)>3)then
tmp2= C8*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-3)+&
C7*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-2)+&
C6*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-1)+&
C5*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3) )+&
C4*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+1)+&
C3*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+2)+&
C2*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+3)+&
C1*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+4)
else
cxB=cxI-3
cxT=cxI+4
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,8,Symmetry))then
write(*,*)"prolong3 position: "
write(*,*)llbf(1)+(i-0.5)*FD(1),llbf(2)+(j-0.5)*FD(2),llbf(3)+(k-0.5)*FD(3)
write(*,*)"llbf = ",llbf
stop
endif
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+&
C5*tmp2(:,5)+C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)
funf(i,j,k)= C8*tmp1(1)+C7*tmp1(2)+C6*tmp1(3)+C5*tmp1(4)+&
C4*tmp1(5)+C3*tmp1(6)+C2*tmp1(7)+C1*tmp1(8)
endif
else
if(kk/2*2==kk)then
if(cxI(1)>3.and.cxI(2)>3.and.cxI(3)>3)then
tmp2= C1*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-3)+&
C2*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-2)+&
C3*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-1)+&
C4*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3) )+&
C5*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+1)+&
C6*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+2)+&
C7*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+3)+&
C8*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+4)
else
cxB=cxI-3
cxT=cxI+4
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,8,Symmetry))then
write(*,*)"prolong3 position: "
write(*,*)llbf(1)+(i-0.5)*FD(1),llbf(2)+(j-0.5)*FD(2),llbf(3)+(k-0.5)*FD(3)
write(*,*)"llbf = ",llbf
stop
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+&
C5*ya(:,:,5)+C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)
endif
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
funf(i,j,k)= C8*tmp1(1)+C7*tmp1(2)+C6*tmp1(3)+C5*tmp1(4)+&
C4*tmp1(5)+C3*tmp1(6)+C2*tmp1(7)+C1*tmp1(8)
else
if(cxI(1)>3.and.cxI(2)>3.and.cxI(3)>3)then
tmp2= C8*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-3)+&
C7*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-2)+&
C6*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)-1)+&
C5*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3) )+&
C4*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+1)+&
C3*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+2)+&
C2*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+3)+&
C1*func(cxI(1)-3:cxI(1)+4,cxI(2)-3:cxI(2)+4,cxI(3)+4)
else
cxB=cxI-3
cxT=cxI+4
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,8,Symmetry))then
write(*,*)"prolong3 position: "
write(*,*)llbf(1)+(i-0.5)*FD(1),llbf(2)+(j-0.5)*FD(2),llbf(3)+(k-0.5)*FD(3)
write(*,*)"llbf = ",llbf
stop
endif
tmp2= C8*ya(:,:,1)+C7*ya(:,:,2)+C6*ya(:,:,3)+C5*ya(:,:,4)+&
C4*ya(:,:,5)+C3*ya(:,:,6)+C2*ya(:,:,7)+C1*ya(:,:,8)
endif
tmp1= C8*tmp2(:,1)+C7*tmp2(:,2)+C6*tmp2(:,3)+C5*tmp2(:,4)+&
C4*tmp2(:,5)+C3*tmp2(:,6)+C2*tmp2(:,7)+C1*tmp2(:,8)
funf(i,j,k)= C8*tmp1(1)+C7*tmp1(2)+C6*tmp1(3)+C5*tmp1(4)+&
C4*tmp1(5)+C3*tmp1(6)+C2*tmp1(7)+C1*tmp1(8)
endif
endif
endif
enddo
enddo
enddo
return
end subroutine prolong3
#elif (ghost_width == 5)
! eighth order code
!---------------------------------------------------------------------------------------------------------------
!
! Restrict from finner grids to coarser grids ignore the boundary point
!
! 10 points, 9th order interpolation
! 1 2 3 4 5 6 7 8 9 10
! *---*---*---*---*---*---*---*---*---*
! ^
! f=35/65536(f_1+f_10)-405/65536*(f_2+f_9) + 567/16384*(f_3+f_8) - 2205/16384*(f_4+f_7) + 19845/32768*(f_5+f_6)
!---------------------------------------------------------------------------------------------------------------
subroutine restrict3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbr,uubr,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in)::wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbr,uubr
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(inout):: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(in):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbr,ubr,lbrf,ubrf
integer,dimension(3) :: cxB,cxT,cxI
integer :: i,j,k
real*8, dimension(10,10,10) :: ya
real*8, dimension(10,10) :: tmp2
real*8, dimension(10) :: tmp1
real*8, parameter :: C1=3.5d1/6.5536d4,C2=-4.05d2/6.5536d4,C3=5.67d2/1.6384d4
real*8, parameter :: C4=-2.205d3/1.6384d4,C5=1.9845d4/3.2768d4
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
logical::decide3d
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::restrict3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
! note say base = 0, llbf = 0, uubf = 2
! llbf->1 and uubf->2
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbr = idint((llbr-base)/CD+0.4)+1
lbrf = idint((llbr-base)/FD+0.4)+1
ubr = idint((uubr-base)/CD+0.4)
ubrf = idint((uubr-base)/FD+0.4)
!sanity check
imino=lbr(1)-lbc(1) + 1
imaxo=ubr(1)-lbc(1) + 1
jmino=lbr(2)-lbc(2) + 1
jmaxo=ubr(2)-lbc(2) + 1
kmino=lbr(3)-lbc(3) + 1
kmaxo=ubr(3)-lbc(3) + 1
imini=lbrf(1)-lbf(1) + 1
imaxi=ubrf(1)-lbf(1) + 1
jmini=lbrf(2)-lbf(2) + 1
jmaxi=ubrf(2)-lbf(2) + 1
kmini=lbrf(3)-lbf(3) + 1
kmaxi=ubrf(3)-lbf(3) + 1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extc(1).or.jmaxo.gt.extc(2).or.kmaxo.gt.extc(3).or.&
imaxi.gt.extf(1)-4.or.jmaxi.gt.extf(2)-4.or.kmaxi.gt.extf(3)-4)then
write(*,*)"error in restrict for"
write(*,*)"from"
write(*,*)lbf,ubf
write(*,*)"to"
write(*,*)lbc,ubc
write(*,*)"want"
write(*,*)lbr,ubr,lbrf,ubrf
write(*,*)"llbf = ",llbf
write(*,*)"uubf = ",uubf
write(*,*)"llbc = ",llbc
write(*,*)"uubc = ",uubc
write(*,*)"llbr = ",llbr
write(*,*)"uubr = ",uubr
write(*,*)"base = ",base
stop
endif
!~~~~~~> restriction start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to fine level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = 2*(cxI+lbc-1) - 1
! change to array index
cxI = cxI - lbf + 1
if(any(cxI+5 > extf)) write(*,*)"error in restrict"
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>4.and.cxI(2)>4.and.cxI(3)>4)then
tmp2= C1*(funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-4)+funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+5))&
+C2*(funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-3)+funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+4))&
+C3*(funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-2)+funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+3))&
+C4*(funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-1)+funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+2))&
+C5*(funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3) )+funf(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+1))
else
cxB=cxI-4
cxT=cxI+5
if(decide3d(extf,funf,funf,cxB,cxT,SoA,ya,10,Symmetry))then
write(*,*)"restrict3 position index: ",i+lbc(1)-1,j+lbc(2)-1,k+lbc(3)-1
stop
endif
tmp2=C1*(ya(:,:,1)+ya(:,:,10))+C2*(ya(:,:,2)+ya(:,:,9))+C3*(ya(:,:,3)+ya(:,:,8)) &
+C4*(ya(:,:,4)+ya(:,:, 7))+C5*(ya(:,:,5)+ya(:,:,6))
endif
tmp1= C1*(tmp2(:,1)+tmp2(:,10))+C2*(tmp2(:,2)+tmp2(:,9))+C3*(tmp2(:,3)+tmp2(:,8)) &
+C4*(tmp2(:,4)+tmp2(:, 7))+C5*(tmp2(:,5)+tmp2(:,6))
func(i,j,k)= C1*(tmp1(1)+tmp1(10))+C2*(tmp1(2)+tmp1(9))+C3*(tmp1(3)+tmp1(8)) &
+C4*(tmp1(4)+tmp1( 7))+C5*(tmp1(5)+tmp1(6))
enddo
enddo
enddo
return
end subroutine restrict3
!--------------------------------------------------------------------------
!
! Prolongation from coarser grids to finer grids
! 10 points, 9th order interpolation
! 1 2 3 4 5 6 7 8 9 10
! *---*---*---*---*---*---*---*---*---*
! ^
!f= 13585/33554432*f_1-159885/33554432*f_2+230945/8388608*f_3- 969969/8388608*f_4+14549535/16777216*f_5
! +4849845/16777216*f_6- 692835/8388608*f_7+188955/8388608*f_8-138567/33554432*f_9+ 12155/33554432*f_10
!--------------------------------------------------------------------------
subroutine prolong3(wei,llbc,uubc,extc,func,&
llbf,uubf,extf,funf,&
llbp,uubp,SoA,Symmetry)
implicit none
!~~~~~~> input arguments
integer,intent(in) :: wei
! coarse fine coarse
real*8,dimension(3), intent(in) :: llbc,uubc,llbf,uubf,llbp,uubp
integer,dimension(3), intent(in) :: extc,extf
real*8, dimension(extc(1),extc(2),extc(3)),intent(in) :: func
real*8, dimension(extf(1),extf(2),extf(3)),intent(inout):: funf
real*8, dimension(1:3), intent(in) :: SoA
integer,intent(in)::Symmetry
!~~~~~~> local variables
real*8, dimension(1:3) :: base
integer,dimension(3) :: lbc,ubc,lbf,ubf,lbp,ubp,lbpc,ubpc
integer,dimension(3) :: cxB,cxT,cxI
integer :: i,j,k,ii,jj,kk
real*8, dimension(10,10,10) :: ya
real*8, dimension(10,10) :: tmp2
real*8, dimension(10) :: tmp1
real*8, parameter :: C1=1.3585d4/3.3554432d7,C2=-1.59885d5/3.3554432d7,C3=2.30945d5/8.388608d6
real*8, parameter :: C4=-9.69969d5/8.388608d6,C5=1.4549535d7/1.6777216d7,C6=4.849845d6/1.6777216d7
real*8, parameter :: C7=-6.92835d5/8.388608d6,C8=1.88955d5/8.388608d6,C9=-1.38567d5/3.3554432d7
real*8, parameter :: C10=1.2155d4/3.3554432d7
integer::imini,imaxi,jmini,jmaxi,kmini,kmaxi
integer::imino,imaxo,jmino,jmaxo,kmino,kmaxo
logical::decide3d
real*8,dimension(3) :: CD,FD
if(wei.ne.3)then
write(*,*)"prolongrestrict.f90::prolong3: this routine only surport 3 dimension"
write(*,*)"dim = ",wei
stop
endif
CD = (uubc-llbc)/extc
FD = (uubf-llbf)/extf
!take care the mismatch of the two segments of grid
do i=1,3
if(llbc(i) <= llbf(i))then
base(i) = llbc(i)
else
j=idint((llbc(i)-llbf(i))/FD(i)+0.4)
if(j/2*2 == j)then
base(i) = llbf(i)
else
base(i) = llbf(i) - CD(i)/2
endif
endif
enddo
!!! function idint:
!If A is of type REAL and |A| < 1, INT(A) equals 0. If |A| \geq 1,
!then INT(A) equals the largest integer that does not exceed the range of A
!and whose sign is the same as the sign of A.
lbf = idint((llbf-base)/FD+0.4)+1
ubf = idint((uubf-base)/FD+0.4)
lbc = idint((llbc-base)/CD+0.4)+1
ubc = idint((uubc-base)/CD+0.4)
lbp = idint((llbp-base)/FD+0.4)+1
lbpc = idint((llbp-base)/CD+0.4)+1
ubp = idint((uubp-base)/FD+0.4)
ubpc = idint((uubp-base)/CD+0.4)
!sanity check
imino=lbp(1)-lbf(1) + 1
imaxo=ubp(1)-lbf(1) + 1
jmino=lbp(2)-lbf(2) + 1
jmaxo=ubp(2)-lbf(2) + 1
kmino=lbp(3)-lbf(3) + 1
kmaxo=ubp(3)-lbf(3) + 1
imini=lbpc(1)-lbc(1) + 1
imaxi=ubpc(1)-lbc(1) + 1
jmini=lbpc(2)-lbc(2) + 1
jmaxi=ubpc(2)-lbc(2) + 1
kmini=lbpc(3)-lbc(3) + 1
kmaxi=ubpc(3)-lbc(3) + 1
if(imino.lt.1.or.jmino.lt.1.or.kmino.lt.1.or.&
imini.lt.1.or.jmini.lt.1.or.kmini.lt.1.or.&
imaxo.gt.extf(1).or.jmaxo.gt.extf(2).or.kmaxo.gt.extf(3).or.&
imaxi.gt.extc(1)-4.or.jmaxi.gt.extc(2)-4.or.kmaxi.gt.extc(3)-4)then
write(*,*)"error in prolongation for"
write(*,*)"from"
write(*,*)llbc,uubc
write(*,*)lbc,ubc
write(*,*)"to"
write(*,*)llbf,uubf
write(*,*)lbf,ubf
write(*,*)"want"
write(*,*)llbp,uubp
write(*,*)lbp,ubp,lbpc,ubpc
return
endif
!~~~~~~> prolongation start...
do k = kmino,kmaxo
do j = jmino,jmaxo
do i = imino,imaxo
cxI(1) = i
cxI(2) = j
cxI(3) = k
! change to coarse level reference
!|---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*--- ---*---|
!|=======x===============x===============x===============x=======|
cxI = (cxI+lbf-1)/2
! change to array index
cxI = cxI - lbc + 1
if(any(cxI+5 > extc)) write(*,*)"error in prolong"
ii=i+lbf(1)-1
jj=j+lbf(2)-1
kk=k+lbf(3)-1
if(ii/2*2==ii)then
if(jj/2*2==jj)then
if(kk/2*2==kk)then
! due to ghost zone, we can deal with symmetry boundary like this
if(cxI(1)>4.and.cxI(2)>4.and.cxI(3)>4)then
tmp2= C1 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-4)+&
C2 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-3)+&
C3 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-2)+&
C4 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-1)+&
C5 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3) )+&
C6 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+1)+&
C7 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+2)+&
C8 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+3)+&
C9 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+4)+&
C10*func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+5)
else
cxB=cxI-4
cxT=cxI+5
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,10,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+ C5*tmp1( 5)+&
C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)+C9*tmp1(9)+C10*tmp1(10)
else
if(cxI(1)>4.and.cxI(2)>4.and.cxI(3)>4)then
tmp2= C10*func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-4)+&
C9 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-3)+&
C8 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-2)+&
C7 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-1)+&
C6 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3) )+&
C5 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+1)+&
C4 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+2)+&
C3 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+3)+&
C2 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+4)+&
C1 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+5)
else
cxB=cxI-4
cxT=cxI+5
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,10,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5 *tmp1( 5)+&
C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)+C9*tmp1(9)+C10*tmp1(10)
endif
else
if(kk/2*2==kk)then
if(cxI(1)>4.and.cxI(2)>4.and.cxI(3)>4)then
tmp2= C1 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-4)+&
C2 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-3)+&
C3 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-2)+&
C4 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-1)+&
C5 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3) )+&
C6 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+1)+&
C7 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+2)+&
C8 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+3)+&
C9 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+4)+&
C10*func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+5)
else
cxB=cxI-4
cxT=cxI+5
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,10,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
endif
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5 *tmp1( 5)+&
C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)+C9*tmp1(9)+C10*tmp1(10)
else
if(cxI(1)>4.and.cxI(2)>4.and.cxI(3)>4)then
tmp2= C10*func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-4)+&
C9 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-3)+&
C8 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-2)+&
C7 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-1)+&
C6 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3) )+&
C5 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+1)+&
C4 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+2)+&
C3 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+3)+&
C2 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+4)+&
C1 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+5)
else
cxB=cxI-4
cxT=cxI+5
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,10,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
endif
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
funf(i,j,k)= C1*tmp1(1)+C2*tmp1(2)+C3*tmp1(3)+C4*tmp1(4)+C5 *tmp1( 5)+&
C6*tmp1(6)+C7*tmp1(7)+C8*tmp1(8)+C9*tmp1(9)+C10*tmp1(10)
endif
endif
else
if(jj/2*2==jj)then
if(kk/2*2==kk)then
if(cxI(1)>4.and.cxI(2)>4.and.cxI(3)>4)then
tmp2= C1 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-4)+&
C2 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-3)+&
C3 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-2)+&
C4 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-1)+&
C5 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3) )+&
C6 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+1)+&
C7 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+2)+&
C8 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+3)+&
C9 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+4)+&
C10*func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+5)
else
cxB=cxI-4
cxT=cxI+5
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,10,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
funf(i,j,k)= C10*tmp1(1)+C9*tmp1(2)+C8*tmp1(3)+C7*tmp1(4)+C6*tmp1( 5)+&
C5 *tmp1(6)+C4*tmp1(7)+C3*tmp1(8)+C2*tmp1(9)+C1*tmp1(10)
else
if(cxI(1)>4.and.cxI(2)>4.and.cxI(3)>4)then
tmp2= C10*func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-4)+&
C9 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-3)+&
C8 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-2)+&
C7 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-1)+&
C6 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3) )+&
C5 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+1)+&
C4 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+2)+&
C3 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+3)+&
C2 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+4)+&
C1 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+5)
else
cxB=cxI-4
cxT=cxI+5
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,10,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
endif
tmp1= C1*tmp2(:,1)+C2*tmp2(:,2)+C3*tmp2(:,3)+C4*tmp2(:,4)+C5 *tmp2(:, 5)+&
C6*tmp2(:,6)+C7*tmp2(:,7)+C8*tmp2(:,8)+C9*tmp2(:,9)+C10*tmp2(:,10)
funf(i,j,k)= C10*tmp1(1)+C9*tmp1(2)+C8*tmp1(3)+C7*tmp1(4)+C6*tmp1( 5)+&
C5 *tmp1(6)+C4*tmp1(7)+C3*tmp1(8)+C2*tmp1(9)+C1*tmp1(10)
endif
else
if(kk/2*2==kk)then
if(cxI(1)>4.and.cxI(2)>4.and.cxI(3)>4)then
tmp2= C1 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-4)+&
C2 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-3)+&
C3 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-2)+&
C4 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-1)+&
C5 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3) )+&
C6 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+1)+&
C7 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+2)+&
C8 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+3)+&
C9 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+4)+&
C10*func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+5)
else
cxB=cxI-4
cxT=cxI+5
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,10,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C1*ya(:,:,1)+C2*ya(:,:,2)+C3*ya(:,:,3)+C4*ya(:,:,4)+C5 *ya(:,:, 5)+&
C6*ya(:,:,6)+C7*ya(:,:,7)+C8*ya(:,:,8)+C9*ya(:,:,9)+C10*ya(:,:,10)
endif
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
funf(i,j,k)= C10*tmp1(1)+C9*tmp1(2)+C8*tmp1(3)+C7*tmp1(4)+C6*tmp1( 5)+&
C5 *tmp1(6)+C4*tmp1(7)+C3*tmp1(8)+C2*tmp1(9)+C1*tmp1(10)
else
if(cxI(1)>4.and.cxI(2)>4.and.cxI(3)>4)then
tmp2= C10*func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-4)+&
C9 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-3)+&
C8 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-2)+&
C7 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)-1)+&
C6 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3) )+&
C5 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+1)+&
C4 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+2)+&
C3 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+3)+&
C2 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+4)+&
C1 *func(cxI(1)-4:cxI(1)+5,cxI(2)-4:cxI(2)+5,cxI(3)+5)
else
cxB=cxI-4
cxT=cxI+5
if(decide3d(extc,func,func,cxB,cxT,SoA,ya,10,Symmetry))then
write(*,*)"prolong3 position index: ",i+lbf(1)-1,j+lbf(2)-1,k+lbf(3)-1
return
endif
tmp2= C10*ya(:,:,1)+C9*ya(:,:,2)+C8*ya(:,:,3)+C7*ya(:,:,4)+C6*ya(:,:, 5)+&
C5 *ya(:,:,6)+C4*ya(:,:,7)+C3*ya(:,:,8)+C2*ya(:,:,9)+C1*ya(:,:,10)
endif
tmp1= C10*tmp2(:,1)+C9*tmp2(:,2)+C8*tmp2(:,3)+C7*tmp2(:,4)+C6*tmp2(:, 5)+&
C5 *tmp2(:,6)+C4*tmp2(:,7)+C3*tmp2(:,8)+C2*tmp2(:,9)+C1*tmp2(:,10)
funf(i,j,k)= C10*tmp1(1)+C9*tmp1(2)+C8*tmp1(3)+C7*tmp1(4)+C6*tmp1( 5)+&
C5 *tmp1(6)+C4*tmp1(7)+C3*tmp1(8)+C2*tmp1(9)+C1*tmp1(10)
endif
endif
endif
enddo
enddo
enddo
return
end subroutine prolong3
#endif
#else
#ifndef Vertex
#error Not define Vertex nor Cell
#endif
#endif