📄 bessj1.f90
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FUNCTION bessj1(x)
REAL bessj1,x
REAL ax,xx,z
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 r1,r2,r3,r4,r5,r6/72362614232.d0,-7895059235.d0,&
242396853.1d0,-2972611.439d0,15704.48260d0,&
-30.16036606d0/,s1,s2,s3,s4,s5,s6/144725228442.d0,&
2300535178.d0,18583304.74d0,99447.43394d0,&
376.9991397d0,1.d0/
DATA p1,p2,p3,p4,p5/1.d0,.183105d-2,-.3516396496d-4,&
.2457520174d-5,-.240337019d-6/, q1,q2,q3,q4,q5/&
.04687499995d0,-.2002690873d-3,.8449199096d-5,&
-.88228987d-6,.105787412d-6/
if(abs(x)<8.) then
y=x**2
bessj1=x*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))))/&
(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6)))))
else
ax=abs(x)
z=8./ax
y=z**2
xx=ax-2.356194491
bessj1=sqrt(.636619772/ax)*(cos(xx)*(p1+y*(p2+y*&
(p3+y*(p4+y*p5))))-z*sin(xx)*(q1+y*(q2+y*&
(q3+y*(q4+y*q5)))))*sign(1.,x)
endif
END FUNCTION bessj1
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