📄 spline.f
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subroutine spline(x,y,n,yp1,ypn,y2)
parameter (nmax=100)
integer n,i,k
real x(n),y(n),y2(n),u(nmax)
real yp1,ypn,sig,p,qn,un
if (yp1.gt..99e30) then
y2(1)=0.
u(1)=0.
else
y2(1)=-0.5
u(1)=(3./(x(2)-x(1)))*((y(2)-y(1))/(x(2)-x(1))-yp1)
endif
do 11 i=2,n-1
sig=(x(i)-x(i-1))/(x(i+1)-x(i-1))
p=sig*y2(i-1)+2.
y2(i)=(sig-1.)/p
u(i)=(6.*((y(i+1)-y(i))/(x(i+1)-x(i))-(y(i)-y(i-1))
* /(x(i)-x(i-1)))/(x(i+1)-x(i-1))-sig*u(i-1))/p
11 continue
if (ypn.gt..99e30) then
qn=0.
un=0.
else
qn=0.5
un=(3./(x(n)-x(n-1)))*(ypn-(y(n)-y(n-1))/(x(n)-x(n-1)))
endif
y2(n)=(un-qn*u(n-1))/(qn*y2(n-1)+1.)
do 12 k=n-1,1,-1
y2(k)=y2(k)*y2(k+1)+u(k)
12 continue
return
end
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