c ------------------------------------------------
      double complex function HPL3ar0(n1,n2,n3,x)
      implicit none
      integer n1,n2,n3,j,bcflag
      double complex x,ris,myi,llx
      double precision pi, zeta2, zeta3,ll2,xre

      pi=3.1415926535897932385D0
      zeta3=1.20205690315959428539973816151d0
      zeta2=pi**2/6d0
      myi = dcmplx(0d0,1d0)
      ll2 = dlog(2d0)
      bcflag = 0

      j=1+(n3+1)*1+(n2+1)*3+(n1+1)*9
      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)                   !-1-1-1
         
         
         ris = (x**3)/6d0 - (x**4)/4d0 + (7d0*x**5)/
     &        24d0 - (5d0*x**6)/16d0 + (29d0*x**7)/90d0 - (469d0*x**8
     &        )/1440d0 + (29531d0*x**9)/90720d0 - (1303d0*x**10)/4032
     &        d0
         
      case(2)                   !-1-10
         
         llx = log(x)
         
         ris = -((3d0*x**2)/4d0) + (7d0*x**3)/12d0 -
     &        (131d0*x**4)/288d0 + (53d0*x**5)/144d0 - (2213d0*x**6)
     &        /7200d0 + (947d0*x**7)/3600d0 - (647707d0*x**8)/2822400
     &        d0 + (1290829d0*x**9)/6350400d0 - (11574649d0*x**10)/63
     &        504000d0 + (x**2*llx)/2d0 - (x**3*llx)/2d0 + (11d0*x**4
     &        *llx)/24d0 - (5d0*x**5*llx)/12d0 + (137d0*x**6*llx)/360
     &        d0 - (7d0*x**7*llx)/20d0 + (363d0*x**8*llx)/1120d0 - (7
     &        61d0*x**9*llx)/2520d0 + (7129d0*x**10*llx)/25200d0
         
      case(3)                   !-1-11
         
         
         ris = (x**3)/6d0 - (x**4)/6d0 + (7d0*x**5)/
     &        40d0 - (119d0*x**6)/720d0 + (101d0*x**7)/630d0 - (305d0
     &        *x**8)/2016d0 + (13157d0*x**9)/90720d0 - (41603d0*x**10
     &        )/302400d0
         
      case(4)                   !-10-1
         
         
         ris = (x**2)/2d0 - (5d0*x**3)/12d0 + (49d0*
     &        x**4)/144d0 - (41d0*x**5)/144d0 + (5269d0*x**6)/21600d0
     &        - (767d0*x**7)/3600d0 + (266681d0*x**8)/1411200d0 - (1
     &        077749d0*x**9)/6350400d0 + (9778141d0*x**10)/63504000d0
         
      case(5)                   !-100
         
         llx = log(x)
         
         ris = x - (x**2)/8d0 + (x**3)/27d0 - (x**4)
     &        /64d0 + (x**5)/125d0 - (x**6)/216d0 + (x**7)/343d0 - (x
     &        **8)/512d0 + (x**9)/729d0 - (x**10)/1000d0 - x*llx + (x
     &        **2*llx)/4d0 - (x**3*llx)/9d0 + (x**4*llx)/16d0 - (x**5
     &        *llx)/25d0 + (x**6*llx)/36d0 - (x**7*llx)/49d0 + (x**8*
     &        llx)/64d0 - (x**9*llx)/81d0 + (x**10*llx)/100d0 + (x*ll
     &        x**2)/2d0 - (x**2*llx**2)/4d0 + (x**3*llx**2)/6d0 - (x*
     &        *4*llx**2)/8d0 + (x**5*llx**2)/10d0 - (x**6*llx**2)/12d
     &        0 + (x**7*llx**2)/14d0 - (x**8*llx**2)/16d0 + (x**9*llx
     &        **2)/18d0 - (x**10*llx**2)/20d0
         
      case(6)                   !-101
         
         
         ris = (x**2)/2d0 - (x**3)/4d0 + (31d0*x**4)
     &        /144d0 - (23d0*x**5)/144d0 + (3019d0*x**6)/21600d0 - (1
     &        39d0*x**7)/1200d0 + (48877d0*x**8)/470400d0 - (191833d0
     &        *x**9)/2116800d0 + (5257891d0*x**10)/63504000d0
         
      case(7)                   !-11-1
         
         
         ris = (x**3)/6d0 - (x**4)/12d0 + (13d0*x**5
     &        )/120d0 - (17d0*x**6)/240d0 + (5d0*x**7)/63d0 - (589d0*
     &        x**8)/10080d0 + (5669d0*x**9)/90720d0 - (85d0*x**10)/17
     &        28d0
         
      case(8)                   !-110
         
         llx = log(x)
         
         ris = -((3d0*x**2)/4d0) + (11d0*x**3)/36d0 
     &        - (77d0*x**4)/288d0 + (659d0*x**5)/3600d0 - (1163d0*x**
     &        6)/7200d0 + (2517d0*x**7)/19600d0 - (108919d0*x**8)/940
     &        800d0 + (1875737d0*x**9)/19051200d0 - (5731399d0*x**10)
     &        /63504000d0 + (x**2*llx)/2d0 - (x**3*llx)/6d0 + (5d0*x*
     &        *4*llx)/24d0 - (7d0*x**5*llx)/60d0 + (47d0*x**6*llx)/36
     &        0d0 - (37d0*x**7*llx)/420d0 + (319d0*x**8*llx)/3360d0 -
     &        (533d0*x**9*llx)/7560d0 + (1879d0*x**10*llx)/25200d0
         
      case(9)                   !-111
         
         
         ris = (x**3)/6d0 + (11d0*x**5)/120d0 - (x**
     &        6)/144d0 + (19d0*x**7)/315d0 - (13d0*x**8)/1440d0 + (79
     &        9d0*x**9)/18144d0 - (317d0*x**10)/33600d0
         
      case(10)                  !0-1-1
         
         
         ris = (x**2)/4d0 - (x**3)/6d0 + (11d0*x**4)
     &        /96d0 - (x**5)/12d0 + (137d0*x**6)/2160d0 - (x**7)/20d0
     &        + (363d0*x**8)/8960d0 - (761d0*x**9)/22680d0 + (7129d0
     &        *x**10)/252000d0
         
      case(11)                  !0-10
         
         llx = log(x)
         
         ris = -2*x + (x**2)/4d0 - (2d0*x**3)/27d0 +
     & (x**4)/32d0 - (2d0*x**5)/125d0 + (x**6)/108d0 - (2d0*x
     &        **7)/343d0 + (x**8)/256d0 - (2d0*x**9)/729d0 + (x**10)/
     &        500d0 + x*llx - (x**2*llx)/4d0 + (x**3*llx)/9d0 - (x**4
     &        *llx)/16d0 + (x**5*llx)/25d0 - (x**6*llx)/36d0 + (x**7*
     &        llx)/49d0 - (x**8*llx)/64d0 + (x**9*llx)/81d0 - (x**10*
     &        llx)/100d0
         
      case(12)                  !0-11
         
         
         ris = (x**2)/4d0 - (x**3)/18d0 + (5d0*x**4)
     &        /96d0 - (7d0*x**5)/300d0 + (47d0*x**6)/2160d0 - (37d0*x
     &        **7)/2940d0 + (319d0*x**8)/26880d0 - (533d0*x**9)/68040
     &        d0 + (1879d0*x**10)/252000d0
         
      case(13)                  !00-1
         
         
         ris = x - (x**2)/8d0 + (x**3)/27d0 - (x**4)
     &        /64d0 + (x**5)/125d0 - (x**6)/216d0 + (x**7)/343d0 - (x
     &        **8)/512d0 + (x**9)/729d0 - (x**10)/1000d0
         
      case(14)                  !000
         
         llx = log(x)
         
         ris = (llx**3)/6d0
         
      case(15)                  !001
         
         
         ris = x + (x**2)/8d0 + (x**3)/27d0 + (x**4)
     &        /64d0 + (x**5)/125d0 + (x**6)/216d0 + (x**7)/343d0 + (x
     &        **8)/512d0 + (x**9)/729d0 + (x**10)/1000d0
         
      case(16)                  !01-1
         
         
         ris = (x**2)/4d0 + (x**3)/18d0 + (5d0*x**4)
     &        /96d0 + (7d0*x**5)/300d0 + (47d0*x**6)/2160d0 + (37d0*x
     &        **7)/2940d0 + (319d0*x**8)/26880d0 + (533d0*x**9)/68040
     &        d0 + (1879d0*x**10)/252000d0
         
      case(17)                  !010
         
         llx = log(x)
         
         ris = -2*x - (x**2)/4d0 - (2d0*x**3)/27d0 -
     &        (x**4)/32d0 - (2d0*x**5)/125d0 - (x**6)/108d0 - (2d0*x
     &        **7)/343d0 - (x**8)/256d0 - (2d0*x**9)/729d0 - (x**10)/
     &        500d0 + x*llx + (x**2*llx)/4d0 + (x**3*llx)/9d0 + (x**4
     &        *llx)/16d0 + (x**5*llx)/25d0 + (x**6*llx)/36d0 + (x**7*
     &        llx)/49d0 + (x**8*llx)/64d0 + (x**9*llx)/81d0 + (x**10*
     &        llx)/100d0
         
      case(18)                  !011
         
         
         ris = (x**2)/4d0 + (x**3)/6d0 + (11d0*x**4)
     &        /96d0 + (x**5)/12d0 + (137d0*x**6)/2160d0 + (x**7)/20d0
     &        + (363d0*x**8)/8960d0 + (761d0*x**9)/22680d0 + (7129d0
     &        *x**10)/252000d0
         
      case(19)                  !1-1-1
         
         
         ris = (x**3)/6d0 + (11d0*x**5)/120d0 + (x**
     &        6)/144d0 + (19d0*x**7)/315d0 + (13d0*x**8)/1440d0 + (79
     &        9d0*x**9)/18144d0 + (317d0*x**10)/33600d0
         
      case(20)                  !1-10

         llx = log(x)
         
         ris = -((3d0*x**2)/4d0) - (11d0*x**3)/36d0 
     &        - (77d0*x**4)/288d0 - (659d0*x**5)/3600d0 - (1163d0*x**
     &        6)/7200d0 - (2517d0*x**7)/19600d0 - (108919d0*x**8)/940
     &        800d0 - (1875737d0*x**9)/19051200d0 - (5731399d0*x**10)
     &        /63504000d0 + (x**2*llx)/2d0 + (x**3*llx)/6d0 + (5d0*x*
     &        *4*llx)/24d0 + (7d0*x**5*llx)/60d0 + (47d0*x**6*llx)/36
     &        0d0 + (37d0*x**7*llx)/420d0 + (319d0*x**8*llx)/3360d0 +
     &        (533d0*x**9*llx)/7560d0 + (1879d0*x**10*llx)/25200d0
         
      case(21)                  !1-11
         
         
         ris = (x**3)/6d0 + (x**4)/12d0 + (13d0*x**5
     &        )/120d0 + (17d0*x**6)/240d0 + (5d0*x**7)/63d0 + (589d0*
     &        x**8)/10080d0 + (5669d0*x**9)/90720d0 + (85d0*x**10)/17
     &        28d0
         
      case(22)                  !10-1
         
         
         ris = (x**2)/2d0 + (x**3)/4d0 + (31d0*x**4)
     &        /144d0 + (23d0*x**5)/144d0 + (3019d0*x**6)/21600d0 + (1
     &        39d0*x**7)/1200d0 + (48877d0*x**8)/470400d0 + (191833d0
     &        *x**9)/2116800d0 + (5257891d0*x**10)/63504000d0
         
      case(23)                  !100
         
         llx = log(x)
         
         ris = x + (x**2)/8d0 + (x**3)/27d0 + (x**4)
     &        /64d0 + (x**5)/125d0 + (x**6)/216d0 + (x**7)/343d0 + (x
     &        **8)/512d0 + (x**9)/729d0 + (x**10)/1000d0 - x*llx - (x
     &        **2*llx)/4d0 - (x**3*llx)/9d0 - (x**4*llx)/16d0 - (x**5
     &        *llx)/25d0 - (x**6*llx)/36d0 - (x**7*llx)/49d0 - (x**8*
     &        llx)/64d0 - (x**9*llx)/81d0 - (x**10*llx)/100d0 + (x*ll
     &        x**2)/2d0 + (x**2*llx**2)/4d0 + (x**3*llx**2)/6d0 + (x*
     &        *4*llx**2)/8d0 + (x**5*llx**2)/10d0 + (x**6*llx**2)/12d
     &        0 + (x**7*llx**2)/14d0 + (x**8*llx**2)/16d0 + (x**9*llx
     &        **2)/18d0 + (x**10*llx**2)/20d0
         
      case(24)                  !101
         
         
         ris = (x**2)/2d0 + (5d0*x**3)/12d0 + (49d0*
     &        x**4)/144d0 + (41d0*x**5)/144d0 + (5269d0*x**6)/21600d0
     &        + (767d0*x**7)/3600d0 + (266681d0*x**8)/1411200d0 + (1
     &        077749d0*x**9)/6350400d0 + (9778141d0*x**10)/63504000d0
         
      case(25)                  !11-1
         
         
         ris = (x**3)/6d0 + (x**4)/6d0 + (7d0*x**5)/
     &        40d0 + (119d0*x**6)/720d0 + (101d0*x**7)/630d0 + (305d0
     &        *x**8)/2016d0 + (13157d0*x**9)/90720d0 + (41603d0*x**10
     &        )/302400d0
         
      case(26)                  !110
         
         llx = log(x)
         
         ris = -((3d0*x**2)/4d0) - (7d0*x**3)/12d0 -
     &        (131d0*x**4)/288d0 - (53d0*x**5)/144d0 - (2213d0*x**6)
     &        /7200d0 - (947d0*x**7)/3600d0 - (647707d0*x**8)/2822400
     &        d0 - (1290829d0*x**9)/6350400d0 - (11574649d0*x**10)/63
     &        504000d0 + (x**2*llx)/2d0 + (x**3*llx)/2d0 + (11d0*x**4
     &        *llx)/24d0 + (5d0*x**5*llx)/12d0 + (137d0*x**6*llx)/360
     &        d0 + (7d0*x**7*llx)/20d0 + (363d0*x**8*llx)/1120d0 + (7
     &        61d0*x**9*llx)/2520d0 + (7129d0*x**10*llx)/25200d0
         
      case(27)                  !111
         
         
         ris = (x**3)/6d0 + (x**4)/4d0 + (7d0*x**5)/
     &        24d0 + (5d0*x**6)/16d0 + (29d0*x**7)/90d0 + (469d0*x**8
     &        )/1440d0 + (29531d0*x**9)/90720d0 + (1303d0*x**10)/4032
     &        d0
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 (n3.eq.0.and.xre.gt.0d0) then
            if (xre.lt.1d0) then
               ris = dcmplx(dreal(ris),0d0)
            endif
c
         else if (n3.eq.1.and.xre.lt.1d0) then
            if (n1.ne.-1.and.n2.ne.-1) then
               ris = dcmplx(dreal(ris),0d0)
            else if (xre.gt.-1d0) then
               ris = dcmplx(dreal(ris),0d0)
            endif
c            
         else if (n3.eq.-1.and.xre.gt.-1d0) then
            if (n1.ne.1.and.n2.ne.1) then
               ris = dcmplx(dreal(ris),0d0)
            else if (xre.lt.1d0) then
               ris = dcmplx(dreal(ris),0d0)
            endif
         endif
      endif    

      HPL3ar0=ris
      return
      end function