exprel.f
1.01 KB
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function exprel (x)
c august 1977 edition. w. fullerton, c3, los alamos scientific lab.
c
c evaluate exprel(x) = (exp(x) - 1.0) / x. for small abs(x) the
c taylor series is used. if x is negative the reflection formula
c exprel(x) = exp(x) * exprel(abs(x))
c may be used this reflection formula will be of use when the
c evaluation for small abs(x) is done by chebyshev series rather than
c taylor series.
c
external r1mach
data nterms, xbnd / 0, 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
xbnd = r1mach(3)
c
10 absx = abs(x)
if (absx.le.0.5) go to 20
call entsrc (irold, 1)
exprel = (exp(x)-1.0)/x
call entsrc (ir, irold)
return
c
20 exprel = 1.0
if (absx.lt.xbnd) return
c
exprel = 0.0
do 30 i=1,nterms
exprel = 1.0 + exprel*x/float(nterms+2-i)
30 continue
c
return
end