double precision function dexprl (x) c july 1980 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 double precision x, absx, alneps, xbnd, xln, xn, d1mach, 1 dexp, dlog external d1mach, dexp, dlog data nterms, xbnd / 0, 0.0d0 / c if (nterms.ne.0) go to 10 alneps = dlog(d1mach(3)) xn = 3.72d0 - 0.3d0*alneps xln = dlog((xn+1.0d0)/1.36d0) nterms = xn - (xn*xln+alneps)/(xln+1.36d0) + 1.5d0 xbnd = d1mach(3) c 10 absx = dabs(x) if (absx.le.0.5d0) go to 20 call entsrc (irold, 1) dexprl = (dexp(x)-1.0d0)/x call entsrc (ir, irold) return c 20 dexprl = 1.0d0 if (absx.lt.xbnd) return c dexprl = 0.0d0 do 30 i=1,nterms dexprl = 1.0d0 + dexprl*x/dble(float(nterms+2-i)) 30 continue c return end