c ------------------------------------------------ double complex function HPL2ar0(n1,n2,x) implicit none integer n1,n2,j,bcflag double complex x,ris,myi,llx double precision pi, zeta2,ll2,xre pi=3.1415926535897932385D0 zeta2=pi**2/6d0 myi = dcmplx(0d0,1d0) ll2 = dlog(2d0) bcflag = 0 j=1+(n2+1)+(n1+1)*3 ris = dcmplx(0d0,0d0) c--- +i*epsilon to get branch cuts right --- if (dimag(x).eq.0d0) then x = x + dcmplx(0d0,1d-60) bcflag = 1 endif c--- select case(j) case(1) !-1-1 ris = (x**2)/2d0 - (x**3)/2d0 + (11d0*x**4) & /24d0 - (5d0*x**5)/12d0 + (137d0*x**6)/360d0 - (7d0*x** & 7)/20d0 + (363d0*x**8)/1120d0 - (761d0*x**9)/2520d0 + ( & 7129d0*x**10)/25200d0 case(2) !-10 llx = log(x) ris = -x + (x**2)/4d0 - (x**3)/9d0 + (x**4) & /16d0 - (x**5)/25d0 + (x**6)/36d0 - (x**7)/49d0 + (x**8 & )/64d0 - (x**9)/81d0 + (x**10)/100d0 + x*llx - (x**2*ll & x)/2d0 + (x**3*llx)/3d0 - (x**4*llx)/4d0 + (x**5*llx)/5 & d0 - (x**6*llx)/6d0 + (x**7*llx)/7d0 - (x**8*llx)/8d0 + & (x**9*llx)/9d0 - (x**10*llx)/10d0 case(3) !-11 ris = (x**2)/2d0 - (x**3)/6d0 + (5d0*x**4)/ & 24d0 - (7d0*x**5)/60d0 + (47d0*x**6)/360d0 - (37d0*x**7 & )/420d0 + (319d0*x**8)/3360d0 - (533d0*x**9)/7560d0 + ( & 1879d0*x**10)/25200d0 case(4) !0-1 ris = x - (x**2)/4d0 + (x**3)/9d0 - (x**4)/ & 16d0 + (x**5)/25d0 - (x**6)/36d0 + (x**7)/49d0 - (x**8) & /64d0 + (x**9)/81d0 - (x**10)/100d0 case(5) !00 llx = log(x) ris = (llx**2)/2d0 case(6) !01 ris = x + (x**2)/4d0 + (x**3)/9d0 + (x**4)/ & 16d0 + (x**5)/25d0 + (x**6)/36d0 + (x**7)/49d0 + (x**8) & /64d0 + (x**9)/81d0 + (x**10)/100d0 case(7) !1-1 ris = (x**2)/2d0 + (x**3)/6d0 + (5d0*x**4)/ & 24d0 + (7d0*x**5)/60d0 + (47d0*x**6)/360d0 + (37d0*x**7 & )/420d0 + (319d0*x**8)/3360d0 + (533d0*x**9)/7560d0 + ( & 1879d0*x**10)/25200d0 case(8) !10 llx = log(x) ris = -x - (x**2)/4d0 - (x**3)/9d0 - (x**4) & /16d0 - (x**5)/25d0 - (x**6)/36d0 - (x**7)/49d0 - (x**8 & )/64d0 - (x**9)/81d0 - (x**10)/100d0 + x*llx + (x**2*ll & x)/2d0 + (x**3*llx)/3d0 + (x**4*llx)/4d0 + (x**5*llx)/5 & d0 + (x**6*llx)/6d0 + (x**7*llx)/7d0 + (x**8*llx)/8d0 + & (x**9*llx)/9d0 + (x**10*llx)/10d0 case(9) !11 ris = (x**2)/2d0 + (x**3)/2d0 + (11d0*x**4) & /24d0 + (5d0*x**5)/12d0 + (137d0*x**6)/360d0 + (7d0*x** & 7)/20d0 + (363d0*x**8)/1120d0 + (761d0*x**9)/2520d0 + ( & 7129d0*x**10)/25200d0 c End of expansions around x = 0 end select c --- set the imaginary part back to zero if it has been modified to c --- get the branch cuts right (and should be zero). if (bcflag.eq.1) then xre = dreal(x) if (n2.eq.0.and.xre.gt.0d0) then if (xre.lt.1d0) then ris = dcmplx(dreal(ris),0d0) endif c else if (n2.eq.1.and.xre.lt.1d0) then if (n1.ne.-1) then ris = dcmplx(dreal(ris),0d0) else if (xre.gt.-1d0) then ris = dcmplx(dreal(ris),0d0) endif c else if (n2.eq.-1.and.xre.gt.-1d0) then if (n1.ne.1) then ris = dcmplx(dreal(ris),0d0) else if (xre.lt.1d0) then ris = dcmplx(dreal(ris),0d0) endif endif endif HPL2ar0=ris return end function