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c -*-Fortran-*-
#include "cctk.h"
#include "cctk_Parameters.h"
subroutine prolongate_3d_real8_2tl_o5 (
$ src1, t1, src2, t2, srciext, srcjext, srckext,
$ dst, t, dstiext, dstjext, dstkext,
$ srcbbox, dstbbox, regbbox)
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_REAL8 one
parameter (one = 1)
CCTK_REAL8 eps
parameter (eps = 1.0d-10)
integer srciext, srcjext, srckext
CCTK_REAL8 src1(srciext,srcjext,srckext)
CCTK_REAL8 t1
CCTK_REAL8 src2(srciext,srcjext,srckext)
CCTK_REAL8 t2
integer dstiext, dstjext, dstkext
CCTK_REAL8 dst(dstiext,dstjext,dstkext)
CCTK_REAL8 t
c bbox(:,1) is lower boundary (inclusive)
c bbox(:,2) is upper boundary (inclusive)
c bbox(:,3) is stride
integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
integer offsetlo, offsethi
integer regiext, regjext, regkext
integer dstifac, dstjfac, dstkfac
integer srcioff, srcjoff, srckoff
integer dstioff, dstjoff, dstkoff
CCTK_REAL8 s1fac, s2fac
CCTK_REAL8 dstdiv
integer i, j, k
integer i0, j0, k0
integer fi, fj, fk
integer ifac(6), jfac(6), kfac(6)
integer ii, jj, kk
CCTK_REAL8 fac
CCTK_REAL8 res
integer d
do d=1,3
if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
$ .or. regbbox(d,3).eq.0) then
call CCTK_WARN (0, "Internal error: stride is zero")
end if
if (srcbbox(d,3).le.regbbox(d,3)
$ .or. dstbbox(d,3).ne.regbbox(d,3)) then
call CCTK_WARN (0, "Internal error: strides disagree")
end if
if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
end if
if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
$ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
$ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
end if
if (regbbox(d,1).gt.regbbox(d,2)) then
c This could be handled, but is likely to point to an error elsewhere
call CCTK_WARN (0, "Internal error: region extent is empty")
end if
if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
$ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
$ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
end if
regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
dstkfac = srcbbox(d,3) / dstbbox(d,3)
srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
offsetlo = regbbox(d,3)
if (mod(srckoff + 0, dstkfac).eq.0) then
offsetlo = 0
if (regkext.gt.1) then
offsetlo = regbbox(d,3)
end if
end if
offsethi = regbbox(d,3)
if (mod(srckoff + regkext-1, dstkfac).eq.0) then
offsethi = 0
if (regkext.gt.1) then
offsethi = regbbox(d,3)
end if
end if
if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
$ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
$ .or. regbbox(d,1).lt.dstbbox(d,1)
$ .or. regbbox(d,2).gt.dstbbox(d,2)) then
call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
end if
end do
if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
$ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
$ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
$ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
$ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
$ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
end if
regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
dstifac = srcbbox(1,3) / dstbbox(1,3)
dstjfac = srcbbox(2,3) / dstbbox(2,3)
dstkfac = srcbbox(3,3) / dstbbox(3,3)
srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
c Linear (first order) interpolation
if (t1.eq.t2) then
call CCTK_WARN (0, "Internal error: arrays have same time")
end if
if (t.lt.min(t1,t2)-eps .or. t.gt.max(t1,t2)+eps) then
call CCTK_WARN (0, "Internal error: extrapolation in time")
end if
s1fac = (t - t2) / (t1 - t2)
s2fac = (t - t1) / (t2 - t1)
c Loop over fine region
c (This expression cannot be evaluated as integer)
dstdiv = one / (120*dstifac**5) / (120*dstjfac**5) / (120*dstkfac**5)
do k = 0, regkext-1
k0 = (srckoff + k) / dstkfac
fk = mod(srckoff + k, dstkfac)
kfac(1) = (fk+ dstkfac) * (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * (- 1)
kfac(2) = (fk+2*dstkfac) * (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * ( 5)
kfac(3) = (fk+2*dstkfac) * (fk+dstkfac) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * (-10)
kfac(4) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk-2*dstkfac) * (fk-3*dstkfac) * ( 10)
kfac(5) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk- dstkfac) * (fk-3*dstkfac) * (- 5)
kfac(6) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk- dstkfac) * (fk-2*dstkfac) * ( 1)
do j = 0, regjext-1
j0 = (srcjoff + j) / dstjfac
fj = mod(srcjoff + j, dstjfac)
jfac(1) = (fj+ dstjfac) * (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * (- 1)
jfac(2) = (fj+2*dstjfac) * (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * ( 5)
jfac(3) = (fj+2*dstjfac) * (fj+dstjfac) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * (-10)
jfac(4) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj-2*dstjfac) * (fj-3*dstjfac) * ( 10)
jfac(5) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj- dstjfac) * (fj-3*dstjfac) * (- 5)
jfac(6) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj- dstjfac) * (fj-2*dstjfac) * ( 1)
do i = 0, regiext-1
i0 = (srcioff + i) / dstifac
fi = mod(srcioff + i, dstifac)
ifac(1) = (fi+ dstifac) * (fi ) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * (- 1)
ifac(2) = (fi+2*dstifac) * (fi ) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * ( 5)
ifac(3) = (fi+2*dstifac) * (fi+dstifac) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * (-10)
ifac(4) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi-2*dstifac) * (fi-3*dstifac) * ( 10)
ifac(5) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi- dstifac) * (fi-3*dstifac) * (- 5)
ifac(6) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi- dstifac) * (fi-2*dstifac) * ( 1)
res = 0
do kk=1,6
do jj=1,6
do ii=1,6
if (ifac(ii).ne.0 .and. jfac(jj).ne.0 .and. kfac(kk).ne.0) then
c (This expression cannot be evaluated as integer)
fac = one * ifac(ii) * jfac(jj) * kfac(kk)
if (check_array_accesses.ne.0) then
call checkindex (i0+ii-2, j0+jj-2, k0+kk-2, 1,1,1, srciext,srcjext,srckext, "source")
end if
res = res
$ + fac * s1fac * src1(i0+ii-2, j0+jj-2, k0+kk-2)
$ + fac * s2fac * src2(i0+ii-2, j0+jj-2, k0+kk-2)
end if
end do
end do
end do
if (check_array_accesses.ne.0) then
call checkindex (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, 1,1,1, dstiext,dstjext,dstkext, "destination")
end if
dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
end do
end do
end do
end
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