SUBROUTINE LGOBFUN_DV_DV(n, x, y, wts, x0, y0, pp, ppd0, ppd, hx, hy, ll&
& , lld, lldd, cv, fixrho, nbdirs, nbdirs0)
USE DIFFSIZES
IMPLICIT NONE
INTEGER, INTENT(IN) :: n
REAL*8, DIMENSION(n), INTENT(IN) :: x
REAL*8, DIMENSION(n), INTENT(IN) :: y
REAL*8, DIMENSION(n), INTENT(IN) :: wts
REAL*8, INTENT(IN) :: x0
REAL*8, INTENT(IN) :: y0
REAL*8, DIMENSION(5), INTENT(IN) :: pp
REAL*8, DIMENSION(nbdirsmax, 5), INTENT(IN) :: ppd0
REAL*8, DIMENSION(5, 5), INTENT(IN) :: ppd
REAL*8, INTENT(IN) :: hx
REAL*8, INTENT(IN) :: hy
LOGICAL, INTENT(IN) :: cv
REAL*8, INTENT(IN) :: fixrho
REAL*8, INTENT(OUT) :: ll
REAL*8, INTENT(OUT) :: lld(5)
REAL*8, INTENT(OUT) :: lldd(nbdirsmax, 5)
REAL*8, DIMENSION(n) :: lgauss
REAL*8, DIMENSION(nbdirsmax, n) :: lgaussd0
REAL*8, DIMENSION(5, n) :: lgaussd
REAL*8, DIMENSION(nbdirsmax, 5, n) :: lgaussdd
REAL*8, DIMENSION(5) :: pars2
REAL*8, DIMENSION(nbdirsmax, 5) :: pars2d0
REAL*8, DIMENSION(5, 5) :: pars2d
REAL*8, DIMENSION(nbdirsmax, 5, 5) :: pars2dd
REAL*8, DIMENSION(1) :: xtmp, ytmp, restmp
REAL*8, DIMENSION(nbdirsmax, 1) :: xtmpd0, ytmpd0, restmpd0
REAL*8, DIMENSION(5, 1) :: xtmpd, ytmpd, restmpd
REAL*8, DIMENSION(nbdirsmax, 5, 1) :: restmpdd
REAL*8, DIMENSION(5) :: pars
REAL*8, DIMENSION(nbdirsmax, 5) :: parsd0
REAL*8, DIMENSION(5, 5) :: parsd
REAL*8, DIMENSION(nbdirsmax, 5, 5) :: parsdd
REAL*8, DIMENSION(n) :: arg1
REAL*8, DIMENSION(5, n) :: arg1d
REAL*8, DIMENSION(nbdirsmax, 5, n) :: arg1dd
REAL*8 :: arg10
REAL*8 :: arg10d0(nbdirsmax)
REAL*8 :: arg10d(5)
REAL*8 :: arg10dd(nbdirsmax, 5)
INTEGER :: nd
INTEGER :: nbdirs
INTRINSIC EXP
INTRINSIC ABS
INTRINSIC SUM
REAL*8 :: abs2
REAL*8 :: abs1
INTRINSIC SQRT
REAL*8 :: result1
REAL*8 :: result1d(nbdirsmax)
INTEGER :: nd0
INTEGER :: nbdirs0
ll = 0.0_8
IF (cv) THEN
DO nd0=1,nbdirs0
parsdd(nd0, :, :) = 0.0_8
END DO
DO nd=1,nbdirs
DO nd0=1,nbdirs0
parsdd(nd0, nd, 1:2) = 0.0_8
parsdd(nd0, nd, 3:4) = ppd(nd, 3:4)*ppd0(nd0, 3:4)*EXP(pp(3:4))
END DO
parsd(nd, 1:2) = ppd(nd, 1:2)
parsd(nd, 3:4) = ppd(nd, 3:4)*EXP(pp(3:4))
END DO
DO nd0=1,nbdirs0
parsd0(nd0, 1:2) = ppd0(nd0, 1:2)
parsd0(nd0, 3:4) = ppd0(nd0, 3:4)*EXP(pp(3:4))
END DO
pars(1:2) = pp(1:2)
pars(3:4) = EXP(pp(3:4))
IF (fixrho .GE. 0.) THEN
abs1 = fixrho
ELSE
abs1 = -fixrho
END IF
IF (abs1 .LT. 1.0_8) THEN
DO nd0=1,nbdirs0
lldd(nd0, :) = 0.0_8
END DO
DO nd=1,nbdirs
DO nd0=1,nbdirs0
parsdd(nd0, nd, 5) = 0.0_8
lldd(nd0, nd) = -(0.5_8*2*ppd(nd, 5)*ppd0(nd0, 5))
END DO
parsd(nd, 5) = 0.0_8
lld(nd) = -(0.5_8*2*pp(5)*ppd(nd, 5))
END DO
DO nd0=1,nbdirs0
parsd0(nd0, 5) = 0.0_8
END DO
pars(5) = fixrho
ll = -(0.5_8*pp(5)**2)
ELSE
DO nd=1,nbdirs
DO nd0=1,nbdirs0
parsdd(nd0, nd, 5) = ((2.0_8*ppd(nd, 5)*(ppd0(nd0, 5)*EXP(pp(5&
& ))*(1.0_8+EXP(pp(5)))+EXP(pp(5))**2*ppd0(nd0, 5))-2.0_8*ppd(&
& nd, 5)*2*EXP(pp(5))**2*ppd0(nd0, 5))*(1.0_8+EXP(pp(5)))**2-(&
& 2.0_8*ppd(nd, 5)*EXP(pp(5))*(1.0_8+EXP(pp(5)))-2.0_8*EXP(pp(&
& 5))**2*ppd(nd, 5))*2*(1.0_8+EXP(pp(5)))*ppd0(nd0, 5)*EXP(pp(&
& 5)))/((1.0_8+EXP(pp(5)))**2)**2
END DO
parsd(nd, 5) = (2.0_8*ppd(nd, 5)*EXP(pp(5))*(1.0_8+EXP(pp(5)))-&
& 2.0_8*EXP(pp(5))**2*ppd(nd, 5))/(1.0_8+EXP(pp(5)))**2
END DO
DO nd0=1,nbdirs0
parsd0(nd0, 5) = (2.0_8*ppd0(nd0, 5)*EXP(pp(5))*(1.0_8+EXP(pp(5)&
& ))-2.0_8*EXP(pp(5))**2*ppd0(nd0, 5))/(1.0_8+EXP(pp(5)))**2
END DO
pars(5) = -1.0_8 + 2.0_8*EXP(pp(5))/(1.0_8+EXP(pp(5)))
DO nd=1,nbdirs
DO nd0=1,nbdirs0
lldd(nd0, nd) = 0.0_8
END DO
lld(nd) = 0.0_8
END DO
DO nd0=1,nbdirs0
lldd(nd0, :) = 0.0_8
END DO
END IF
ELSE
DO nd=1,nbdirs
DO nd0=1,nbdirs0
parsdd(nd0, nd, :) = 0.0_8
END DO
parsd(nd, :) = ppd(nd, :)
END DO
DO nd0=1,nbdirs0
parsd0(nd0, :) = ppd0(nd0, :)
END DO
pars = pp
IF (fixrho .GE. 0.) THEN
abs2 = fixrho
ELSE
abs2 = -fixrho
END IF
IF (abs2 .LT. 1.0_8) THEN
DO nd=1,nbdirs
DO nd0=1,nbdirs0
parsdd(nd0, nd, 5) = 0.0_8
END DO
parsd(nd, 5) = 0.0_8
END DO
DO nd0=1,nbdirs0
parsd0(nd0, 5) = 0.0_8
END DO
pars(5) = fixrho
DO nd=1,nbdirs
DO nd0=1,nbdirs0
lldd(nd0, nd) = 0.0_8
END DO
lld(nd) = 0.0_8
END DO
DO nd0=1,nbdirs0
lldd(nd0, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
parsdd(nd0, :, :) = 0.0_8
END DO
ELSE
DO nd=1,nbdirs
DO nd0=1,nbdirs0
lldd(nd0, nd) = 0.0_8
END DO
lld(nd) = 0.0_8
END DO
DO nd0=1,nbdirs0
lldd(nd0, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
parsdd(nd0, :, :) = 0.0_8
END DO
END IF
END IF
CALL LOGGAUSSPDF_DV_DV(n, x, y, pars, parsd0, parsd, parsdd, lgauss, &
& lgaussd0, lgaussd, lgaussdd, nbdirs, nbdirs0)
DO nd0=1,nbdirs0
arg10d0(nd0) = 2*pars(3)*parsd0(nd0, 3)
END DO
arg10 = pars(3)**2 + hx**2
DO nd0=1,nbdirs0
arg1dd(nd0, :, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
pars2dd(nd0, :, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
arg10dd(nd0, :) = 0.0_8
END DO
DO nd=1,nbdirs
DO nd0=1,nbdirs0
arg1dd(nd0, nd, :) = wts*lgaussdd(nd0, nd, :)
lldd(nd0, nd) = lldd(nd0, nd) + SUM(arg1dd(nd0, nd, :))/(1.0_8*n)
pars2dd(nd0, nd, 1:2) = parsdd(nd0, nd, 1:2)
arg10dd(nd0, nd) = 2*(parsd0(nd0, 3)*parsd(nd, 3)+pars(3)*parsdd(&
& nd0, nd, 3))
END DO
arg1d(nd, :) = wts*lgaussd(nd, :)
lld(nd) = lld(nd) + SUM(arg1d(nd, :))/(1.0_8*n)
pars2d(nd, 1:2) = parsd(nd, 1:2)
arg10d(nd) = 2*pars(3)*parsd(nd, 3)
IF (arg10 .EQ. 0.0) THEN
DO nd0=1,nbdirs0
pars2dd(nd0, nd, 3) = 0.0_8
END DO
pars2d(nd, 3) = 0.0_8
ELSE
result1 = SQRT(arg10)
DO nd0=1,nbdirs0
IF (arg10 .EQ. 0.0) THEN
result1d(nd0) = 0.0_8
ELSE
result1d(nd0) = arg10d0(nd0)/(2.0*SQRT(arg10))
END IF
pars2dd(nd0, nd, 3) = (arg10dd(nd0, nd)*2.0*result1-arg10d(nd)*&
& 2.0*result1d(nd0))/(2.0*result1)**2
END DO
pars2d(nd, 3) = arg10d(nd)/(2.0*result1)
END IF
DO nd0=1,nbdirs0
arg10dd(nd0, nd) = 2*(parsd0(nd0, 4)*parsd(nd, 4)+pars(4)*parsdd(&
& nd0, nd, 4))
END DO
arg10d(nd) = 2*pars(4)*parsd(nd, 4)
xtmpd(nd, 1) = 0.0_8
ytmpd(nd, 1) = 0.0_8
END DO
arg1(:) = wts*lgauss
ll = ll + SUM(arg1(:))/(1.0_8*n)
DO nd0=1,nbdirs0
pars2d0(nd0, 1:2) = parsd0(nd0, 1:2)
IF (arg10 .EQ. 0.0) THEN
pars2d0(nd0, 3) = 0.0_8
ELSE
pars2d0(nd0, 3) = arg10d0(nd0)/(2.0*SQRT(arg10))
END IF
arg10d0(nd0) = 2*pars(4)*parsd0(nd0, 4)
END DO
pars2(1:2) = pars(1:2)
pars2(3) = SQRT(arg10)
arg10 = pars(4)**2 + hy**2
DO nd0=1,nbdirs0
IF (arg10 .EQ. 0.0) THEN
pars2d0(nd0, 4) = 0.0_8
ELSE
pars2d0(nd0, 4) = arg10d0(nd0)/(2.0*SQRT(arg10))
END IF
END DO
pars2(4) = SQRT(arg10)
DO nd=1,nbdirs
IF (arg10 .EQ. 0.0) THEN
DO nd0=1,nbdirs0
pars2dd(nd0, nd, 4) = 0.0_8
END DO
pars2d(nd, 4) = 0.0_8
ELSE
result1 = SQRT(arg10)
DO nd0=1,nbdirs0
IF (arg10 .EQ. 0.0) THEN
result1d(nd0) = 0.0_8
ELSE
result1d(nd0) = arg10d0(nd0)/(2.0*SQRT(arg10))
END IF
pars2dd(nd0, nd, 4) = (arg10dd(nd0, nd)*2.0*result1-arg10d(nd)*&
& 2.0*result1d(nd0))/(2.0*result1)**2
END DO
pars2d(nd, 4) = arg10d(nd)/(2.0*result1)
END IF
DO nd0=1,nbdirs0
pars2dd(nd0, nd, 5) = ((((parsdd(nd0, nd, 5)*pars(3)+parsd(nd, 5)*&
& parsd0(nd0, 3)+parsd0(nd0, 5)*parsd(nd, 3)+pars(5)*parsdd(nd0, &
& nd, 3))*pars(4)+(parsd(nd, 5)*pars(3)+pars(5)*parsd(nd, 3))*&
& parsd0(nd0, 4)+(parsd0(nd0, 5)*pars(3)+pars(5)*parsd0(nd0, 3))*&
& parsd(nd, 4)+pars(5)*pars(3)*parsdd(nd0, nd, 4))*pars2(3)*pars2(&
& 4)+((parsd(nd, 5)*pars(3)+pars(5)*parsd(nd, 3))*pars(4)+pars(5)*&
& pars(3)*parsd(nd, 4))*(pars2d0(nd0, 3)*pars2(4)+pars2(3)*pars2d0&
& (nd0, 4))-((parsd0(nd0, 5)*pars(3)+pars(5)*parsd0(nd0, 3))*pars(&
& 4)+pars(5)*pars(3)*parsd0(nd0, 4))*(pars2d(nd, 3)*pars2(4)+pars2&
& (3)*pars2d(nd, 4))-pars(5)*pars(3)*pars(4)*(pars2dd(nd0, nd, 3)*&
& pars2(4)+pars2d(nd, 3)*pars2d0(nd0, 4)+pars2d0(nd0, 3)*pars2d(nd&
& , 4)+pars2(3)*pars2dd(nd0, nd, 4)))*pars2(3)**2*pars2(4)**2-(((&
& parsd(nd, 5)*pars(3)+pars(5)*parsd(nd, 3))*pars(4)+pars(5)*pars(&
& 3)*parsd(nd, 4))*pars2(3)*pars2(4)-pars(5)*pars(3)*pars(4)*(&
& pars2d(nd, 3)*pars2(4)+pars2(3)*pars2d(nd, 4)))*2*pars2(3)*pars2&
& (4)*(pars2d0(nd0, 3)*pars2(4)+pars2(3)*pars2d0(nd0, 4)))/((pars2&
& (3)*pars2(4))**2)**2
END DO
pars2d(nd, 5) = (((parsd(nd, 5)*pars(3)+pars(5)*parsd(nd, 3))*pars(4&
& )+pars(5)*pars(3)*parsd(nd, 4))*pars2(3)*pars2(4)-pars(5)*pars(3)*&
& pars(4)*(pars2d(nd, 3)*pars2(4)+pars2(3)*pars2d(nd, 4)))/(pars2(3)&
& *pars2(4))**2
END DO
DO nd0=1,nbdirs0
pars2d0(nd0, 5) = (((parsd0(nd0, 5)*pars(3)+pars(5)*parsd0(nd0, 3))*&
& pars(4)+pars(5)*pars(3)*parsd0(nd0, 4))*pars2(3)*pars2(4)-pars(5)*&
& pars(3)*pars(4)*(pars2d0(nd0, 3)*pars2(4)+pars2(3)*pars2d0(nd0, 4)&
& ))/(pars2(3)*pars2(4))**2
xtmpd0(nd0, 1) = 0.0_8
ytmpd0(nd0, 1) = 0.0_8
END DO
pars2(5) = pars(5)*pars(3)*pars(4)/(pars2(3)*pars2(4))
xtmp(1) = x0
ytmp(1) = y0
CALL LOGGAUSSPDF_DV_DV(1, xtmp, ytmp, pars2, pars2d0, pars2d, pars2dd&
& , restmp, restmpd0, restmpd, restmpdd, nbdirs, &
& nbdirs0)
DO nd=1,nbdirs
DO nd0=1,nbdirs0
lldd(nd0, nd) = lldd(nd0, nd) - restmpdd(nd0, nd, 1)*EXP(restmp(1)&
& ) - restmpd(nd, 1)*restmpd0(nd0, 1)*EXP(restmp(1))
END DO
lld(nd) = lld(nd) - restmpd(nd, 1)*EXP(restmp(1))
END DO
ll = ll - EXP(restmp(1))
END SUBROUTINE LGOBFUN_DV_DV
SUBROUTINE LOGGAUSSPDF_DV_DV(n, x, y, pars, parsd0, parsd, parsdd, res, &
& resd0, resd, resdd, nbdirs, nbdirs0)
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) :: parsd0
REAL*8, DIMENSION(5, 5), INTENT(IN) :: parsd
REAL*8, DIMENSION(nbdirsmax, 5, 5), INTENT(IN) :: parsdd
REAL*8, DIMENSION(n), INTENT(OUT) :: res
REAL*8, DIMENSION(nbdirsmax, n), INTENT(OUT) :: resd0
REAL*8, DIMENSION(5, n), INTENT(OUT) :: resd
REAL*8, DIMENSION(nbdirsmax, 5, n), INTENT(OUT) :: resdd
REAL*8, DIMENSION(n) :: cen1, cen2
REAL*8, DIMENSION(nbdirsmax, n) :: cen1d0, cen2d0
REAL*8, DIMENSION(5, n) :: cen1d, cen2d
REAL*8, DIMENSION(nbdirsmax, 5, n) :: cen1dd, cen2dd
REAL*8 :: t1, f1, f2, f12
REAL*8 :: t1d0(nbdirsmax), f1d0(nbdirsmax), f2d0(nbdirsmax), f12d0(&
& nbdirsmax)
REAL*8 :: t1d(5), f1d(5), f2d(5), f12d(5)
REAL*8 :: t1dd(nbdirsmax, 5), f1dd(nbdirsmax, 5), f2dd(nbdirsmax, 5), &
& f12dd(nbdirsmax, 5)
REAL*8 :: arg1
REAL*8 :: arg1d0(nbdirsmax)
REAL*8 :: arg1d(5)
REAL*8 :: arg1dd(nbdirsmax, 5)
REAL*8 :: result1
REAL*8 :: result1d0(nbdirsmax)
REAL*8 :: result1d(5)
REAL*8 :: result1dd(nbdirsmax, 5)
REAL*8 :: arg2
REAL*8 :: arg2d0(nbdirsmax)
REAL*8 :: arg2d(5)
REAL*8 :: arg2dd(nbdirsmax, 5)
INTEGER :: nd
INTEGER :: nbdirs
INTRINSIC LOG
INTRINSIC SQRT
REAL*8 :: result10
REAL*8 :: result10d(nbdirsmax)
INTEGER :: nd0
INTEGER :: nbdirs0
t1 = -(0.5_8/(1.0_8-pars(5)**2))
arg1 = 1.0_8 - pars(5)**2
result1 = SQRT(arg1)
DO nd0=1,nbdirs0
t1d0(nd0) = (-(0.5_8*2*pars(5)*parsd0(nd0, 5)))/(1.0_8-pars(5)**2)**&
& 2
f1d0(nd0) = (t1d0(nd0)*pars(3)**2-t1*2*pars(3)*parsd0(nd0, 3))/(pars&
& (3)**2)**2
f2d0(nd0) = (t1d0(nd0)*pars(4)**2-t1*2*pars(4)*parsd0(nd0, 4))/(pars&
& (4)**2)**2
f12d0(nd0) = -((2.0*(parsd0(nd0, 5)*t1+pars(5)*t1d0(nd0))*pars(3)*&
& pars(4)-2.0*pars(5)*t1*(parsd0(nd0, 3)*pars(4)+pars(3)*parsd0(nd0&
& , 4)))/(pars(3)*pars(4))**2)
cen1d0(nd0, :) = -parsd0(nd0, 1)
cen2d0(nd0, :) = -parsd0(nd0, 2)
arg1d0(nd0) = -(2*pars(5)*parsd0(nd0, 5))
IF (arg1 .EQ. 0.0) THEN
result1d0(nd0) = 0.0_8
ELSE
result1d0(nd0) = arg1d0(nd0)/(2.0*SQRT(arg1))
END IF
arg2d0(nd0) = twopi*((parsd0(nd0, 3)*result1+pars(3)*result1d0(nd0))&
& *pars(4)+pars(3)*result1*parsd0(nd0, 4))
END DO
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)
arg2 = twopi*pars(3)*pars(4)*result1
DO nd0=1,nbdirs0
resdd(nd0, :, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
arg1dd(nd0, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
f12dd(nd0, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
cen2dd(nd0, :, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
f1dd(nd0, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
arg2dd(nd0, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
f2dd(nd0, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
result1dd(nd0, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
t1dd(nd0, :) = 0.0_8
END DO
DO nd0=1,nbdirs0
cen1dd(nd0, :, :) = 0.0_8
END DO
DO nd=1,nbdirs
t1d(nd) = (-(0.5_8*2*pars(5)*parsd(nd, 5)))/(1.0_8-pars(5)**2)**2
DO nd0=1,nbdirs0
t1dd(nd0, nd) = (-(0.5_8*2*(parsd0(nd0, 5)*parsd(nd, 5)+pars(5)*&
& parsdd(nd0, nd, 5))*(1.0_8-pars(5)**2)**2)-0.5_8*2**3*pars(5)**2&
& *parsd(nd, 5)*(1.0_8-pars(5)**2)*parsd0(nd0, 5))/((1.0_8-pars(5)&
& **2)**2)**2
f1dd(nd0, nd) = ((t1dd(nd0, nd)*pars(3)**2+t1d(nd)*2*pars(3)*&
& parsd0(nd0, 3)-2*((t1d0(nd0)*pars(3)+t1*parsd0(nd0, 3))*parsd(nd&
& , 3))-2*(t1*pars(3)*parsdd(nd0, nd, 3)))*pars(3)**4-(t1d(nd)*&
& pars(3)**2-t1*2*pars(3)*parsd(nd, 3))*2**2*pars(3)**3*parsd0(nd0&
& , 3))/((pars(3)**2)**2)**2
f2dd(nd0, nd) = ((t1dd(nd0, nd)*pars(4)**2+t1d(nd)*2*pars(4)*&
& parsd0(nd0, 4)-2*((t1d0(nd0)*pars(4)+t1*parsd0(nd0, 4))*parsd(nd&
& , 4))-2*(t1*pars(4)*parsdd(nd0, nd, 4)))*pars(4)**4-(t1d(nd)*&
& pars(4)**2-t1*2*pars(4)*parsd(nd, 4))*2**2*pars(4)**3*parsd0(nd0&
& , 4))/((pars(4)**2)**2)**2
f12dd(nd0, nd) = -(((2.0*((parsdd(nd0, nd, 5)*t1+parsd(nd, 5)*t1d0&
& (nd0)+parsd0(nd0, 5)*t1d(nd)+pars(5)*t1dd(nd0, nd))*pars(3)*pars&
& (4)+(parsd(nd, 5)*t1+pars(5)*t1d(nd))*(parsd0(nd0, 3)*pars(4)+&
& pars(3)*parsd0(nd0, 4)))-2.0*((parsd0(nd0, 5)*t1+pars(5)*t1d0(&
& nd0))*(parsd(nd, 3)*pars(4)+pars(3)*parsd(nd, 4))+pars(5)*t1*(&
& parsdd(nd0, nd, 3)*pars(4)+parsd(nd, 3)*parsd0(nd0, 4)+parsd0(&
& nd0, 3)*parsd(nd, 4)+pars(3)*parsdd(nd0, nd, 4))))*pars(3)**2*&
& pars(4)**2-(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)))*2*&
& pars(3)*pars(4)*(parsd0(nd0, 3)*pars(4)+pars(3)*parsd0(nd0, 4)))&
& /((pars(3)*pars(4))**2)**2)
cen1dd(nd0, nd, :) = -parsdd(nd0, nd, 1)
cen2dd(nd0, nd, :) = -parsdd(nd0, nd, 2)
arg1dd(nd0, nd) = -(2*(parsd0(nd0, 5)*parsd(nd, 5)+pars(5)*parsdd(&
& nd0, nd, 5)))
END DO
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
DO nd0=1,nbdirs0
result1dd(nd0, nd) = 0.0_8
END DO
result1d(nd) = 0.0
ELSE
result10 = SQRT(arg1)
DO nd0=1,nbdirs0
IF (arg1 .EQ. 0.0) THEN
result10d(nd0) = 0.0_8
ELSE
result10d(nd0) = arg1d0(nd0)/(2.0*SQRT(arg1))
END IF
result1dd(nd0, nd) = (arg1dd(nd0, nd)*2.0*result10-arg1d(nd)*2.0&
& *result10d(nd0))/(2.0*result10)**2
END DO
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))
DO nd0=1,nbdirs0
arg2dd(nd0, nd) = twopi*((parsdd(nd0, nd, 3)*result1+parsd(nd, 3)*&
& result1d0(nd0)+parsd0(nd0, 3)*result1d(nd)+pars(3)*result1dd(nd0&
& , nd))*pars(4)+(parsd(nd, 3)*result1+pars(3)*result1d(nd))*&
& parsd0(nd0, 4)+(parsd0(nd0, 3)*result1+pars(3)*result1d0(nd0))*&
& parsd(nd, 4)+pars(3)*result1*parsdd(nd0, nd, 4))
resdd(nd0, nd, :) = f1dd(nd0, nd)*cen1**2 + f1d(nd)*2*cen1*cen1d0(&
& nd0, :) - (arg2dd(nd0, nd)*arg2-arg2d(nd)*arg2d0(nd0))/arg2**2 +&
& 2*((f1d0(nd0)*cen1+f1*cen1d0(nd0, :))*cen1d(nd, :)) + 2*(f1*cen1&
& *cen1dd(nd0, nd, :)) + f2dd(nd0, nd)*cen2**2 + f2d(nd)*2*cen2*&
& cen2d0(nd0, :) + 2*((f2d0(nd0)*cen2+f2*cen2d0(nd0, :))*cen2d(nd&
& , :)) + 2*(f2*cen2*cen2dd(nd0, nd, :)) + (f12dd(nd0, nd)*cen1+&
& f12d(nd)*cen1d0(nd0, :)+f12d0(nd0)*cen1d(nd, :)+f12*cen1dd(nd0, &
& nd, :))*cen2 + (f12d(nd)*cen1+f12*cen1d(nd, :))*cen2d0(nd0, :) +&
& (f12d0(nd0)*cen1+f12*cen1d0(nd0, :))*cen2d(nd, :) + f12*cen1*&
& cen2dd(nd0, nd, :)
END DO
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
DO nd0=1,nbdirs0
resd0(nd0, :) = f1d0(nd0)*cen1**2 - arg2d0(nd0)/arg2 + f1*2*cen1*&
& cen1d0(nd0, :) + f2d0(nd0)*cen2**2 + f2*2*cen2*cen2d0(nd0, :) + (&
& f12d0(nd0)*cen1+f12*cen1d0(nd0, :))*cen2 + f12*cen1*cen2d0(nd0, :)
END DO
res = -LOG(arg2) + f1*cen1**2 + f2*cen2**2 + f12*cen1*cen2
END SUBROUTINE LOGGAUSSPDF_DV_DV