cantera/ext/recipes/spline.f
2003-04-14 17:57:48 +00:00

31 lines
876 B
Fortran
Executable file

SUBROUTINE SPLINE(X,Y,N,YP1,YPN,Y2)
implicit double precision (a-h,o-z)
PARAMETER (NMAX=100)
DIMENSION X(N),Y(N),Y2(N),U(NMAX)
IF (YP1.GT..99D30) THEN
Y2(1)=0.
U(1)=0.
ELSE
Y2(1)=-0.5d0
U(1)=(3.d0/(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.d0
Y2(I)=(SIG-1.)/P
U(I)=(6.d0*((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..99d30) THEN
QN=0.d0
UN=0.d0
ELSE
QN=0.5d0
UN=(3.d0/(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.d0)
DO 12 K=N-1,1,-1
Y2(K)=Y2(K)*Y2(K+1)+U(K)
12 CONTINUE
RETURN
END