cexprl.f
1.21 KB
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complex function cexprl (z)
c august 1980 edition. w. fullerton, c3, los alamos scientific lab.
c
c evaluate (cexp(z)-1)/z . for small cabs(z), we use the taylor
c series. we could instead use the expression
c cexprl(z) = (exp(x)*exp(i*y)-1)/z
c = (x*exprel(x) * (1 - 2*sin(y/2)**2) - 2*sin(y/2)**2
c + i*sin(y)*(1+x*exprel(x))) / z
c
complex z, cexp
external r1mach
data nterms, rbnd, sqeps / 0, 2*0.0 /
c
if (nterms.ne.0) go to 10
alneps = alog(r1mach(3))
xn = 3.72 - 0.3*alneps
xln = alog((xn+1.0)/1.36)
nterms = xn - (xn*xln+alneps)/(xln+1.36) + 1.5
rbnd = r1mach(3)
sqeps = 0.0
c
10 r = cabs(z)
if (r.le.0.5) go to 20
c
call entsrc (irold, 1)
cexprl = (cexp(z) - 1.0) / z
call erroff
call entsrc (irold2, irold)
if (abs(real(z)).lt.sqeps .and. cabs(cexprl).lt.sqeps) call
1 seteru (41hcexprl answer lt half prec, z near ni2pi,
2 41, 1, 1)
return
c
20 cexprl = (1.0, 0.0)
if (r.lt.rbnd) return
c
cexprl = (0.0, 0.0)
do 30 i=1,nterms
cexprl = 1.0 + cexprl*z/float(nterms+2-i)
30 continue
c
return
end