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subroutine jeppe1(nx,my,xx,yy,ff,cc)
implicit real*8(a-h,o-z)
parameter(nnx=49,mmy=37)
dimension xx(nx),yy(my),ff(nnx,mmy),ff1(nnx,mmy),ff2(nnx,mmy),
xff12(nnx,mmy),yy0(4),yy1(4),yy2(4),yy12(4),z(16),wt(16,16),
xcl(16),cc(nx,my,4,4),iwt(16,16)
data iwt/1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
x 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
x -3,0,0,3,0,0,0,0,-2,0,0,-1,0,0,0,0,
x 2,0,0,-2,0,0,0,0,1,0,0,1,0,0,0,0,
x 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
x 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
x 0,0,0,0,-3,0,0,3,0,0,0,0,-2,0,0,-1,
x 0,0,0,0,2,0,0,-2,0,0,0,0,1,0,0,1,
x -3,3,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0,
x 0,0,0,0,0,0,0,0,-3,3,0,0,-2,-1,0,0,
x 9,-9,9,-9,6,3,-3,-6,6,-6,-3,3,4,2,1,2,
x -6,6,-6,6,-4,-2,2,4,-3,3,3,-3,-2,-1,-1,-2,
x 2,-2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,
x 0,0,0,0,0,0,0,0,2,-2,0,0,1,1,0,0,
x -6,6,-6,6,-3,-3,3,3,-4,4,2,-2,-2,-2,-1,-1,
x 4,-4,4,-4,2,2,-2,-2,2,-2,-2,2,1,1,1,1/
do 42 m=1,my
dx=xx(2)-xx(1)
ff1(1,m)=(ff(2,m)-ff(1,m))/dx
dx=xx(nx)-xx(nx-1)
ff1(nx,m)=(ff(nx,m)-ff(nx-1,m))/dx
do 41 n=2,nx-1
ff1(n,m)=polderiv(xx(n-1),xx(n),xx(n+1),ff(n-1,m),ff(n,m),
xff(n+1,m))
41 continue
42 continue
do 44 n=1,nx
dy=yy(2)-yy(1)
ff2(n,1)=(ff(n,2)-ff(n,1))/dy
dy=yy(my)-yy(my-1)
ff2(n,my)=(ff(n,my)-ff(n,my-1))/dy
do 43 m=2,my-1
ff2(n,m)=polderiv(yy(m-1),yy(m),yy(m+1),ff(n,m-1),ff(n,m),
xff(n,m+1))
43 continue
44 continue
do 46 m=1,my
dx=xx(2)-xx(1)
ff12(1,m)=(ff2(2,m)-ff2(1,m))/dx
dx=xx(nx)-xx(nx-1)
ff12(nx,m)=(ff2(nx,m)-ff2(nx-1,m))/dx
do 45 n=2,nx-1
ff12(n,m)=polderiv(xx(n-1),xx(n),xx(n+1),ff2(n-1,m),ff2(n,m),
xff2(n+1,m))
45 continue
46 continue
do 53 n=1,nx-1
do 52 m=1,my-1
d1=xx(n+1)-xx(n)
d2=yy(m+1)-yy(m)
d1d2=d1*d2
yy0(1)=ff(n,m)
yy0(2)=ff(n+1,m)
yy0(3)=ff(n+1,m+1)
yy0(4)=ff(n,m+1)
yy1(1)=ff1(n,m)
yy1(2)=ff1(n+1,m)
yy1(3)=ff1(n+1,m+1)
yy1(4)=ff1(n,m+1)
yy2(1)=ff2(n,m)
yy2(2)=ff2(n+1,m)
yy2(3)=ff2(n+1,m+1)
yy2(4)=ff2(n,m+1)
yy12(1)=ff12(n,m)
yy12(2)=ff12(n+1,m)
yy12(3)=ff12(n+1,m+1)
yy12(4)=ff12(n,m+1)
do 47 k=1,4
z(k)=yy0(k)
z(k+4)=yy1(k)*d1
z(k+8)=yy2(k)*d2
z(k+12)=yy12(k)*d1d2
47 continue
do 49 l=1,16
xxd=0.
do 48 k=1,16
xxd=xxd+iwt(k,l)*z(k)
48 continue
cl(l)=xxd
49 continue
l=0
do 51 k=1,4
do 50 j=1,4
l=l+1
cc(n,m,k,j)=cl(l)
50 continue
51 continue
52 continue
53 continue
return
end
subroutine jeppe2(x,y,nx,my,xx,yy,cc,z)
implicit real*8(a-h,o-z)
dimension xx(nx),yy(my),cc(nx,my,4,4)
n=locx(xx,nx,x)
m=locx(yy,my,y)
t=(x-xx(n))/(xx(n+1)-xx(n))
u=(y-yy(m))/(yy(m+1)-yy(m))
z=0.
do 1 l=4,1,-1
z=t*z+((cc(n,m,l,4)*u+cc(n,m,l,3))*u
. +cc(n,m,l,2))*u+cc(n,m,l,1)
1 continue
return
end
integer function locx(xx,nx,x)
implicit real*8(a-h,o-z)
dimension xx(nx)
if(x.le.xx(1)) then
locx=1
return
endif
if(x.ge.xx(nx)) then
locx=nx-1
return
endif
ju=nx+1
jl=0
1 if((ju-jl).le.1) go to 2
jm=(ju+jl)/2
if(x.ge.xx(jm)) then
jl=jm
else
ju=jm
endif
go to 1
2 locx=jl
return
end
real*8 function polderiv(x1,x2,x3,y1,y2,y3)
implicit real*8(a-h,o-z)
polderiv=(x3*x3*(y1-y2)-2.0*x2*(x3*(y1-y2)+x1*
.(y2-y3))+x2*x2*(y1-y3)+x1*x1*(y2-y3))/((x1-x2)*(x1-x3)*(x2-x3))
return
end
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