SUBROUTINE
LGOBFUN_DV_DV
(n
, x
, y
, wts
, x0
, y0
, pp
, ppd0
, ppd
, hx
, hy
, ll
&
&
, lld
, lldd
, nbdirs
, nbdirs0
)
USE
DIFFSIZES_DV
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(nbdirsmax0, 5
), INTENT(IN)
:: ppd0
REAL*8
, DIMENSION(
nbdirsmax, 5
)
, INTENT(IN)
:: ppd
REAL*8
, INTENT(IN)
:: hx
REAL*8
, INTENT(IN)
:: hy
REAL*8
, INTENT(OUT)
:: ll
REAL*8
, DIMENSION(
nbdirsmax)
, INTENT(OUT)
:: lld
REAL*8
, DIMENSION(nbdirsmax0, nbdirsmax), INTENT(OUT)
:: lldd
REAL*8
, DIMENSION(
n)
:: lgauss
REAL*8
, DIMENSION(nbdirsmax0, n) :: lgaussd0
REAL*8
, DIMENSION(
nbdirsmax, n)
:: lgaussd
REAL*8
, DIMENSION(nbdirsmax0, nbdirsmax, n) :: lgaussdd
REAL*8
, DIMENSION(
5
)
:: pars2
REAL*8
, DIMENSION(nbdirsmax0, 5
) :: pars2d0
REAL*8
, DIMENSION(
nbdirsmax, 5
)
:: pars2d
REAL*8
, DIMENSION(nbdirsmax0, nbdirsmax, 5
) :: pars2dd
REAL*8
, DIMENSION(
1
)
:: xtmp
, ytmp
, restmp
REAL*8
, DIMENSION(nbdirsmax0, 1
) :: xtmpd0
, ytmpd0
, restmpd0
REAL*8
, DIMENSION(
nbdirsmax, 1
)
:: xtmpd
, ytmpd
, restmpd
REAL*8
, DIMENSION(nbdirsmax0, nbdirsmax, 1
) :: restmpdd
REAL*8
, DIMENSION(
5
)
:: pars
REAL*8
, DIMENSION(nbdirsmax0, 5
) :: parsd0
REAL*8
, DIMENSION(
nbdirsmax, 5
)
:: parsd
REAL*8
, DIMENSION(nbdirsmax0, nbdirsmax, 5
) :: parsdd
REAL*8
, DIMENSION(
n)
:: arg1
REAL*8
, DIMENSION(
nbdirsmax, n)
:: arg1d
REAL*8
, DIMENSION(nbdirsmax0, nbdirsmax, n) :: arg1dd
REAL*8
:: arg10
REAL*8
, DIMENSION(nbdirsmax0) :: arg10d0
REAL*8
, DIMENSION(
nbdirsmax)
:: arg10d
REAL*8
, DIMENSION(nbdirsmax0, nbdirsmax) :: arg10dd
INTEGER
:: nd
INTEGER
:: nbdirs
INTRINSIC
EXP
INTRINSIC
SUM
INTRINSIC
SQRT
REAL*8
:: result1
REAL*8
, DIMENSION(nbdirsmax0) :: result1d
INTEGER
:: nd0
INTEGER
:: nbdirs0
pars(1
:2
) = pp(1
:2
)
pars(3
:4
) = EXP
(pp(3
:4
))
pars(5
) = -1.0_8
+ 2.0_8
*EXP
(pp(5
))/(1.0_8
+EXP
(pp(5
)))
DO
nd0=1
,nbdirs0
parsd0(nd0, 1
:2
) = ppd0(nd0, 1
:2
)
parsd0(nd0, 3
:4
) = ppd0(nd0, 3
:4
)*EXP
(pp(3
:4
))
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
arg10d0(nd0) = 2
*pars(3
)*parsd0(nd0, 3
)
END DO
arg10 = pars(3
)**2
+ hx**2
DO
nd0=1
,nbdirs0
pars2dd(nd0, :, :) = 0.0_8
END DO
DO
nd0=1
,nbdirs0
arg10dd(nd0, :) = 0.0_8
END DO
DO
nd0=1
,nbdirs0
parsdd(nd0, :, :) = 0.0_8
END DO
DO
nd=1
,nbdirs
parsd(nd, 1
:2
) = ppd(nd, 1
:2
)
parsd(nd, 3
:4
) = ppd(nd, 3
:4
)*EXP
(pp(3
:4
))
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
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
))
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
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
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
CALL
LOGGAUSSPDF_DV_DV
(n, x, y, pars, parsd0, parsd, parsdd, lgauss, &
&
lgaussd0, lgaussd, lgaussdd, nbdirs, nbdirs0)
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
nd0=1
,nbdirs0
lldd(nd0, :) = 0.0_8
END DO
DO
nd0=1
,nbdirs0
arg1dd(nd0, :, :) = 0.0_8
END DO
DO
nd=1
,nbdirs
DO
nd0=1
,nbdirs0
arg1dd(nd0, nd, :) = wts*lgaussdd(nd0, nd, :)
lldd(nd0, nd) = SUM
(arg1dd(nd0, nd, :))/(1.0_8
*n)
END DO
arg1d(nd, :) = wts*lgaussd(nd, :)
lld(nd) = SUM
(arg1d(nd, :))/(1.0_8
*n)
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
arg1(:) = wts*lgauss
ll = SUM
(arg1(:))/(1.0_8
*n)
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