📄 bessy0.f90
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FUNCTION bessy0(x)
REAL bessy0,x
!USES bessj0
REAL xx,z,bessj0
DOUBLE PRECISION p1,p2,p3,p4,p5,q1,q2,q3,q4,q5,&
r1,r2,r3,r4,r5,r6,s1,s2,s3,s4,s5,s6,y
SAVE p1,p2,p3,p4,p5,q1,q2,q3,q4,q5,r1,r2,r3,r4,r5,r6,&
s1,s2,s3,s4,s5,s6
DATA p1,p2,p3,p4,p5/1.d0,-.1098628627d-2,.2734510407d-4,&
-.2073370639d-5,.2093887211d-6/, q1,q2,q3,q4,q5/&
-.1562499995d-1,.1430488765d-3,-.6911147651d-5,&
.7621095161d-6,-.934945152d-7/
DATA r1,r2,r3,r4,r5,r6/-2957821389.d0,7062834065.d0,&
-512359803.6d0,10879881.29d0,-86327.92757d0,&
228.4622733d0/,s1,s2,s3,s4,s5,s6/40076544269.d0,&
745249964.8d0,7189466.438d0,47447.26470d0,&
226.1030244d0,1.d0/
if(x<8.)then
y=x**2
bessy0=(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))))/&
(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6)))))+&
.636619772*bessj0(x)*log(x)
else
z=8./x
y=z**2
xx=x-.785398164
bessy0=sqrt(.636619772/x)*(sin(xx)*(p1+y*(p2+y*&
(p3+y*(p4+y*p5))))+z*cos(xx)*(q1+y*(q2+y*&
(q3+y*(q4+y*q5)))))
endif
END FUNCTION bessy0
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