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fvn_fnlib/besi0e.f
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function besi0e (x)
c july 1977 version. w. fullerton, c3, los alamos scientific lab.
dimension bi0cs(12), ai0cs(21), ai02cs(22)
external csevl, inits, r1mach
c
c series for bi0 on the interval 0. to 9.00000d+00
c with weighted error 2.46e-18
c log weighted error 17.61
c significant figures required 17.90
c decimal places required 18.15
c
data bi0 cs( 1) / -.0766054725 2839144951e0 /
data bi0 cs( 2) / 1.9273379539 93808270e0 /
data bi0 cs( 3) / .2282644586 920301339e0 /
data bi0 cs( 4) / .0130489146 6707290428e0 /
data bi0 cs( 5) / .0004344270 9008164874e0 /
data bi0 cs( 6) / .0000094226 5768600193e0 /
data bi0 cs( 7) / .0000001434 0062895106e0 /
data bi0 cs( 8) / .0000000016 1384906966e0 /
data bi0 cs( 9) / .0000000000 1396650044e0 /
data bi0 cs(10) / .0000000000 0009579451e0 /
data bi0 cs(11) / .0000000000 0000053339e0 /
data bi0 cs(12) / .0000000000 0000000245e0 /
c
c series for ai0 on the interval 1.25000d-01 to 3.33333d-01
c with weighted error 7.87e-17
c log weighted error 16.10
c significant figures required 14.69
c decimal places required 16.76
c
data ai0 cs( 1) / .0757599449 4023796e0 /
data ai0 cs( 2) / .0075913808 1082334e0 /
data ai0 cs( 3) / .0004153131 3389237e0 /
data ai0 cs( 4) / .0000107007 6463439e0 /
data ai0 cs( 5) / -.0000079011 7997921e0 /
data ai0 cs( 6) / -.0000007826 1435014e0 /
data ai0 cs( 7) / .0000002783 8499429e0 /
data ai0 cs( 8) / .0000000082 5247260e0 /
data ai0 cs( 9) / -.0000000120 4463945e0 /
data ai0 cs(10) / .0000000015 5964859e0 /
data ai0 cs(11) / .0000000002 2925563e0 /
data ai0 cs(12) / -.0000000001 1916228e0 /
data ai0 cs(13) / .0000000000 1757854e0 /
data ai0 cs(14) / .0000000000 0112822e0 /
data ai0 cs(15) / -.0000000000 0114684e0 /
data ai0 cs(16) / .0000000000 0027155e0 /
data ai0 cs(17) / -.0000000000 0002415e0 /
data ai0 cs(18) / -.0000000000 0000608e0 /
data ai0 cs(19) / .0000000000 0000314e0 /
data ai0 cs(20) / -.0000000000 0000071e0 /
data ai0 cs(21) / .0000000000 0000007e0 /
c
c series for ai02 on the interval 0. to 1.25000d-01
c with weighted error 3.79e-17
c log weighted error 16.42
c significant figures required 14.86
c decimal places required 17.09
c
data ai02cs( 1) / .0544904110 1410882e0 /
data ai02cs( 2) / .0033691164 7825569e0 /
data ai02cs( 3) / .0000688975 8346918e0 /
data ai02cs( 4) / .0000028913 7052082e0 /
data ai02cs( 5) / .0000002048 9185893e0 /
data ai02cs( 6) / .0000000226 6668991e0 /
data ai02cs( 7) / .0000000033 9623203e0 /
data ai02cs( 8) / .0000000004 9406022e0 /
data ai02cs( 9) / .0000000000 1188914e0 /
data ai02cs(10) / -.0000000000 3149915e0 /
data ai02cs(11) / -.0000000000 1321580e0 /
data ai02cs(12) / -.0000000000 0179419e0 /
data ai02cs(13) / .0000000000 0071801e0 /
data ai02cs(14) / .0000000000 0038529e0 /
data ai02cs(15) / .0000000000 0001539e0 /
data ai02cs(16) / -.0000000000 0004151e0 /
data ai02cs(17) / -.0000000000 0000954e0 /
data ai02cs(18) / .0000000000 0000382e0 /
data ai02cs(19) / .0000000000 0000176e0 /
data ai02cs(20) / -.0000000000 0000034e0 /
data ai02cs(21) / -.0000000000 0000027e0 /
data ai02cs(22) / .0000000000 0000003e0 /
c
data nti0, ntai0, ntai02, xsml / 3*0, 0. /
c
if (nti0.ne.0) go to 10
nti0 = inits (bi0cs, 12, 0.1*r1mach(3))
ntai0 = inits (ai0cs, 21, 0.1*r1mach(3))
ntai02 = inits (ai02cs, 22, 0.1*r1mach(3))
xsml = sqrt (4.0*r1mach(3))
c
10 y = abs(x)
if (y.gt.3.0) go to 20
c
besi0e = 1.0
if (y.gt.xsml) besi0e = exp(-y) * ( 2.75 +
1 csevl (y*y/4.5-1.0, bi0cs, nti0) )
return
c
20 if (y.le.8.) besi0e = (.375 + csevl ((48./y-11.)/5., ai0cs, ntai0)
1 ) / sqrt(y)
if (y.gt.8.) besi0e = (.375 + csevl (16./y-1., ai02cs, ntai02))
1 / sqrt(y)
c
return
end
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