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FUNCTION bessy1(x)
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REAL bessy1,x
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CU USES bessj1
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REAL xx,z,bessj1
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DOUBLE PRECISION p1,p2,p3,p4,p5,q1,q2,q3,q4,q5,r1,r2,r3,r4,r5,r6,
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*s1,s2,s3,s4,s5,s6,s7,y
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SAVE p1,p2,p3,p4,p5,q1,q2,q3,q4,q5,r1,r2,r3,r4,r5,r6,s1,s2,s3,s4,
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*s5,s6,s7
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DATA p1,p2,p3,p4,p5/1.d0,.183105d-2,-.3516396496d-4,
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*.2457520174d-5,-.240337019d-6/, q1,q2,q3,q4,q5/.04687499995d0,
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*-.2002690873d-3,.8449199096d-5,-.88228987d-6,.105787412d-6/
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DATA r1,r2,r3,r4,r5,r6/-.4900604943d13,.1275274390d13,
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*-.5153438139d11,.7349264551d9,-.4237922726d7,.8511937935d4/,s1,s2,
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*s3,s4,s5,s6,s7/.2499580570d14,.4244419664d12,.3733650367d10,
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*.2245904002d8,.1020426050d6,.3549632885d3,1.d0/
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if(x.lt.8.)then
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y=x**2
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bessy1=x*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))))/(s1+y*(s2+y*(s3+
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*y*(s4+y*(s5+y*(s6+y*s7))))))+.636619772*(bessj1(x)*log(x)-1./x)
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else
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z=8./x
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y=z**2
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xx=x-2.356194491
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bessy1=sqrt(.636619772/x)*(sin(xx)*(p1+y*(p2+y*(p3+y*(p4+y*
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*p5))))+z*cos(xx)*(q1+y*(q2+y*(q3+y*(q4+y*q5)))))
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endif
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return
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END
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