!        Generated by TAPENADE     (INRIA, Tropics team)
!  Tapenade 3.4 (r3375) - 10 Feb 2010 15:08
!
!  Differentiation of loggausspdf in forward (tangent) mode: (multi-directional mode)
!   variations   of useful results: res
!   with respect to varying inputs: pars
! pars(1) = mu_x
! pars(2) = mu_y
! pars(3) = sigma_x
! pars(4) = sigma_y
! pars(5) = rho
SUBROUTINE LOGGAUSSPDF_DV(n, x, y, pars, parsd, res, resd, nbdirs)
  USE DIFFSIZES
  IMPLICIT NONE
  REAL*8, PARAMETER :: twopi=6.283185307179586e+00_8
  INTEGER, INTENT(IN) :: n
  REAL*8, DIMENSION(n), INTENT(IN) :: x
  REAL*8, DIMENSION(n), INTENT(IN) :: y
  REAL*8, DIMENSION(5), INTENT(IN) :: pars
  REAL*8, DIMENSION(nbdirsmax, 5), INTENT(IN) :: parsd
  REAL*8, DIMENSION(n), INTENT(OUT) :: res
  REAL*8, DIMENSION(nbdirsmax, n), INTENT(OUT) :: resd
  REAL*8, DIMENSION(n) :: cen1, cen2
  REAL*8, DIMENSION(nbdirsmax, n) :: cen1d, cen2d
  REAL*8 :: t1, f1, f2, f12
  REAL*8, DIMENSION(nbdirsmax) :: t1d, f1d, f2d, f12d
  REAL*8 :: arg1
  REAL*8, DIMENSION(nbdirsmax) :: arg1d
  REAL*8 :: result1
  REAL*8, DIMENSION(nbdirsmax) :: result1d
  REAL*8 :: arg2
  REAL*8, DIMENSION(nbdirsmax) :: arg2d
  INTEGER :: nd
  INTEGER :: nbdirs
  INTRINSIC LOG
  INTRINSIC SQRT
  REAL*8 :: result10
  t1 = -(0.5_8/(1.0_8-pars(5)**2))
  f1 = t1/pars(3)**2
  f2 = t1/pars(4)**2
  f12 = -(2.0*pars(5)*t1/(pars(3)*pars(4)))
  cen1 = x - pars(1)
  cen2 = y - pars(2)
  arg1 = 1.0_8 - pars(5)**2
  result1 = SQRT(arg1)
  arg2 = twopi*pars(3)*pars(4)*result1
  DO nd=1,nbdirs
    t1d(nd) = (-(0.5_8*2*pars(5)*parsd(nd, 5)))/(1.0_8-pars(5)**2)**2
    f1d(nd) = (t1d(nd)*pars(3)**2-t1*2*pars(3)*parsd(nd, 3))/(pars(3)**2&
&      )**2
    f2d(nd) = (t1d(nd)*pars(4)**2-t1*2*pars(4)*parsd(nd, 4))/(pars(4)**2&
&      )**2
    f12d(nd) = -((2.0*(parsd(nd, 5)*t1+pars(5)*t1d(nd))*pars(3)*pars(4)-&
&      2.0*pars(5)*t1*(parsd(nd, 3)*pars(4)+pars(3)*parsd(nd, 4)))/(pars(&
&      3)*pars(4))**2)
    cen1d(nd, :) = -parsd(nd, 1)
    cen2d(nd, :) = -parsd(nd, 2)
    arg1d(nd) = -(2*pars(5)*parsd(nd, 5))
    IF (!arg1 .EQ. 0.0) THEN
      result1d(nd) = 0.0
    ELSE
      result10 = SQRT(arg1)
      result1d(nd) = arg1d(nd)/(2.0*result10)
    END IF
    arg2d(nd) = twopi*((parsd(nd, 3)*result1+pars(3)*result1d(nd))*pars(&
&      4)+pars(3)*result1*parsd(nd, 4))
    resd(nd, :) = f1d(nd)*cen1**2 - arg2d(nd)/arg2 + f1*2*cen1*cen1d(nd&
&      , :) + f2d(nd)*cen2**2 + f2*2*cen2*cen2d(nd, :) + (f12d(nd)*cen1+&
&      f12*cen1d(nd, :))*cen2 + f12*cen1*cen2d(nd, :)
  END DO
  res = -LOG(arg2) + f1*cen1**2 + f2*cen2**2 + f12*cen1*cen2
END SUBROUTINE LOGGAUSSPDF_DV