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irre32.f
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irre32.f
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#define _REAL_ double precision
! ----- for an irregular point (i0,j0,k0), find corresponding coefficients
!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
!+ [Enter a one-line description of subroutine irre32 here]
subroutine irre32(ifail, &
i0,j0,k0,info,bmax,x,y,z,phi,index, &
q0p,qyp,qzp,w0p,wyp,wzp,wyyp,wzzp,wyzp, &
nq,maxirr,index2,cirreg,wp,qp,xx,rhs)
implicit _REAL_ (a-h,o-z)
parameter(im=4, ime=4, immax=im, ns=27, in=ns, &
inmax=in, imnn=im+2*in, &
lwar=3*inmax*inmax/2+10*inmax+2*immax+1, &
liwar=in)
common /cmache/eps
common /lmn/l, m, n, nirreg
common /hxyz/hx,hy,hz,hmax
dimension x(0:l+1), y(0:m+1), z(0:n+1)
dimension phi(0:l+1,0:m+1, 0:n+1)
dimension index(l,m,n),index2(l,m,n)
dimension cirreg(maxirr, 15)
dimension wp(maxirr), qp(maxirr)
dimension q0p(maxirr),qyp(maxirr),qzp(maxirr)
dimension w0p(maxirr),wyp(maxirr),wzp(maxirr)
dimension wyyp(maxirr),wzzp(maxirr),wyzp(maxirr)
dimension t(3,3),a(20)
dimension xloc(3),tmpx(3)
dimension bl_out(3),bl_in(3)
dimension cc(inmax,inmax), ca(immax,inmax), caa(immax,inmax)
dimension cd(inmax),cb(immax),xx(in),xl(in),xu(in),uu(imnn)
dimension war(lwar),iwar(liwar)
dimension tmpcoe(7)
ir = index2(i0, j0, k0)
x1 = cirreg(ir, 1)
y1 = cirreg(ir, 2)
z1 = cirreg(ir, 3)
xyy = cirreg(ir, 4)
xzz = cirreg(ir, 5)
xyz = cirreg(ir, 6)
t(1,1) = cirreg(ir, 7)
t(1,2) = cirreg(ir, 8)
t(1,3) = cirreg(ir, 9)
t(2,1) = cirreg(ir, 10)
t(2,2) = cirreg(ir, 11)
t(2,3) = cirreg(ir, 12)
t(3,1) = cirreg(ir, 13)
t(3,2) = cirreg(ir, 14)
t(3,3) = cirreg(ir, 15)
! ----- find jump conditions
call fjmps(x1,y1,z1, fjmp)
call fkjmps(x1,y1,z1, fkjmp)
ujmp = wp(ir)
wy = wyp(ir)
wz = wzp(ir)
wyy = wyyp(ir)
wzz = wzzp(ir)
wyz = wyzp(ir)
q = qp(ir)
qy = qyp(ir)
qz = qzp(ir)
call betas(x1,y1,z1,t,bl_in,bl_out,b_in,b_out)
fkk_in = fk_in(x1,y1,z1)
fkk_out = fk_out(x1,y1,z1)
hxx=hx*hx
hyy=hy*hy
hzz=hz*hz
h1=fmin(hxx,fmin(hyy,hzz))
eps=0.1e-11
do i=1,immax
do j=1,inmax
ca(i,j) = 0.0
end do
cb(i) = 0.0
end do
nc = 0
kr = 0
do i=i0-1,i0+1
do j=j0-1,j0+1
do k=k0-1,k0+1
nc = nc + 1
kr = kr +1
if (i == i0 .and. j == j0 .and. k == k0) then
! kr = kr -1
kctr = nc
! ca(kr+ime,nc) = -1.0d0
! cb(kr+ime) = -1.0d-20
else
! ca(kr+ime,nc) = 1.0d0
! cb(kr+ime) = -100.0d0
end if
xl(nc) = 0.0
xu(nc) = 2.0*bmax/h1
end do
end do
end do
xl(kctr)=-12.0*bmax/h1
xu(kctr)=0.0
rho = b_in/b_out
rho1 = 1 - rho
bl2jmp = bl_out(2)-bl_in(2)
bl3jmp = bl_out(3)-bl_in(3)
temp = fkjmp/b_out
nc = 0
do i=i0-1,i0+1
do j=j0-1,j0+1
do k=k0-1,k0+1
nc = nc + 1
! ----------- local coordinates transformation
tmpx(1) = x(i) - x1
tmpx(2) = y(j) - y1
tmpx(3) = z(k) - z1
call matvec(3,3,t, tmpx, xloc)
! ----------- form the coefficients of equality constraints
if (index(i,j,k) <= 3) then
ca(1,nc) = 1.0
ca(2,nc) = xloc(1)
ca(3,nc) = xloc(2)
ca(4,nc) = xloc(3)
else
ca(1,nc) = 1.0-0.5*temp*xloc(1)*xloc(1)
ca(2,nc) = rho*xloc(1) &
- 0.5*xloc(1)*xloc(1)*(rho1*(xyy+xzz) &
- bl_in(1)/b_out + rho*bl_out(1)/b_out) &
+ 0.5*xloc(2)*xloc(2)*xyy*rho1 &
+ 0.5*xloc(3)*xloc(3)*xzz*rho1 &
+ xloc(1)*xloc(2)*(bl_in(2)/b_out &
- rho*bl_out(2)/b_out) &
+ xloc(1)*xloc(3)*(bl_in(3)/b_out &
- rho*bl_out(3)/b_out) &
+ xloc(2)*xloc(3)*xyz*rho1
ca(3,nc) = - 0.5*xloc(1)*xloc(1)*bl2jmp/b_out &
+ xloc(1)*xloc(2)*xyy*rho1 &
+ xloc(1)*xloc(3)*xyz*rho1 &
+ xloc(2)
ca(4,nc) = - 0.5*xloc(1)*xloc(1)*bl3jmp/b_out &
+ xloc(1)*xloc(3)*xzz*rho1 &
+ xloc(1)*xloc(2)*xyz*rho1 &
+ xloc(3)
end if
end do ! k=k0-1,k0+1
end do ! j=j0-1,j0+1
end do ! i=i0-1,i0+1
if (info > 3) then
cb(1) = fkjmp
end if
cb(2) = -bl_in(1)
cb(3) = -bl_in(2)
cb(4) = -bl_in(3)
do i=1,inmax
do j=1,inmax
cc(i,j) = 0.0
end do
cc(i,i) = 1.0
end do
hxyz=hx*hx+hy*hy+hz*hz
nc = 0
do i=i0-1,i0+1
do j=j0-1,j0+1
do k=k0-1,k0+1
nc = nc + 1
ndis=abs(i-i0)+abs(j-j0)+abs(k-k0)
if (ndis <= 1) then
if (phi(i,j,k) <= 0.0) then
cd(nc)=-3.0*fb_in(x(i),y(j),z(k))/hxyz
else
cd(nc)=-3.0*fb_out(x(i),y(j),z(k))/hxyz
end if
else
cd(nc)=0.0
end if
if (ndis == 0) cd(nc)=-6.0*cd(nc)
end do
end do
end do
do ijk=1, in
! ca(11, ijk) = 1.0
end do
! cb(11) = 0.0
if (info > 3) then
call cpymat(immax,inmax,ca,caa)
end if
iprint = 1
iwar(1) = 1
! ----- solve quadratic programming
call ql0001(im,ime,immax,in,inmax,imnn,cc,cd,ca,cb,xl,xu, &
xx,uu,iout,ifail,iprint,war,lwar,iwar,liwar)
tmp=0.0
do ii=1,4
tmp1=0.0
do ji=1,inmax
tmp1=tmp1+ca(ii,ji)*xx(ji)
end do
if(abs(tmp1+cb(ii)) > tmp) tmp = abs(tmp1+cb(ii))
end do
if(ifail > 10) then
write(*,*) "irre32-Warning!",i0,j0,k0,"Inconsistent Constraints"
do i=1, in
xx(i) = 0.0
end do
call regula(i0,j0,k0,info,x,y,z, tmpcoe,rhs)
xx(5) = tmpcoe(2)
xx(23) = tmpcoe(3)
xx(11) = tmpcoe(4)
xx(17) = tmpcoe(5)
xx(13) = tmpcoe(6)
xx(15) = tmpcoe(7)
xx(14) = tmpcoe(1)
return
end if
do i=1,20
a(i) = 0.0
end do
nc = 0
do i=i0-1,i0+1
do j=j0-1,j0+1
do k=k0-1,k0+1
nc = nc + 1
tmpx(1) = x(i) - x1
tmpx(2) = y(j) - y1
tmpx(3) = z(k) - z1
call matvec(3,3,t, tmpx, xloc)
if (index(i,j,k) <= 3) then
a(1) =a(1) +xx(nc)
a(3) =a(3) +xx(nc)*xloc(1)
a(5) =a(5) +xx(nc)*xloc(2)
a(7) =a(7) +xx(nc)*xloc(3)
a(9) =a(9) +xx(nc)*xloc(1)*xloc(1)*0.5
a(11)=a(11)+xx(nc)*xloc(2)*xloc(2)*0.5
a(13)=a(13)+xx(nc)*xloc(3)*xloc(3)*0.5
a(15)=a(15)+xx(nc)*xloc(1)*xloc(2)
a(17)=a(17)+xx(nc)*xloc(1)*xloc(3)
a(19)=a(19)+xx(nc)*xloc(2)*xloc(3)
else
a(2) =a(2) +xx(nc)
a(4) =a(4) +xx(nc)*xloc(1)
a(6) =a(6) +xx(nc)*xloc(2)
a(8) =a(8) +xx(nc)*xloc(3)
a(10)=a(10)+xx(nc)*xloc(1)*xloc(1)*0.5
a(12)=a(12)+xx(nc)*xloc(2)*xloc(2)*0.5
a(14)=a(14)+xx(nc)*xloc(3)*xloc(3)*0.5
a(16)=a(16)+xx(nc)*xloc(1)*xloc(2)
a(18)=a(18)+xx(nc)*xloc(1)*xloc(3)
a(20)=a(20)+xx(nc)*xloc(2)*xloc(3)
end if
end do
end do ! j=j0-1,j0+1
end do ! i=i0-1,i0+1
tmp = 1.0/b_out
tmp1 = a(4) + a(10)*(xyy+xzz-bl_out(1)*tmp) &
- a(12)*xyy - a(14)*xzz - a(16)*bl_out(2)*tmp &
- a(18)*bl_out(3)*tmp - a(20)*xyz
tmp2 = a(6) - a(10)*bl_out(2)*tmp &
+ a(16)*xyy + a(18)*xyz
tmp3 = a(8) - a(10)*bl_out(3)*tmp &
+ a(16)*xyz + a(18)*xzz
corr = a(10)*((fjmp-fkk_out*ujmp)*tmp-wyy-wzz) &
+ a(12)*wyy + a(14)*wzz + a(16)*qy*tmp &
+ a(18)*qz*tmp + a(20)*wyz + a(2)*ujmp &
+ tmp*tmp1*q + tmp2*wy + tmp3*wz
!.......if the grid point is on (+) side
if (info > 3) then
corr = corr + fkk_out*ujmp - fjmp
end if
if (info <= 3) then
fkk = fk_in(x(i0),y(j0),z(k0))
rhs = ff_in(x(i0),y(j0),z(k0))
else
fkk = fk_out(x(i0),y(j0),z(k0))
rhs = ff_out(x(i0),y(j0),z(k0))
end if
xx(kctr) = xx(kctr)+fkk
rhs = rhs + corr
return
end subroutine irre32