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interpolation_module.f90
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MODULE INT_MOD
! The Interpolation Module contains two procedures that interpolate data:
! Subroutine linint uses linear interpolation.
! Subroutine polintd uses polynomial interpolation.
!
! Created by: Elizabeth North
! Modified by: Elias Hunter
! Created on: 2003
! Last Modified on: 26 Apr 2019
! ROMSPath Version: 1.0.1
IMPLICIT NONE
PUBLIC
CONTAINS
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! ~~ ~~
! ~~ SUBROUTINE linint ~~
! ~~ ~~
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SUBROUTINE linint(xa,ya,n,x,y,m)
IMPLICIT NONE
INTEGER, INTENT(IN) :: n
DOUBLE PRECISION, INTENT(IN) :: xa(n),ya(n),x
DOUBLE PRECISION, INTENT(OUT) :: y,m
INTEGER :: jlo,jhi,k
DOUBLE PRECISION :: b
jlo=1
jhi=n
!determine which two xa location that x lies between
do
k=(jhi+jlo)/2
if(xa(k).gt.x)then
jhi=k
else
jlo=k
endif
if (jhi-jlo == 1) exit
enddo
!calculate the slope and intersect
m = ( ya(jlo) - ya(jhi) )/ ( xa(jlo) - xa(jhi) )
b = ya(jlo) - m*xa(jlo)
!linearly interpolate y
y = m*x + b
return
END SUBROUTINE linint
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! ~~ ~~
! ~~ FUNCTION polintd ~~
! ~~ ~~
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
DOUBLE PRECISION FUNCTION polintd(xa,ya,n,x)
IMPLICIT NONE
INTEGER, INTENT(IN) :: n
DOUBLE PRECISION, INTENT(IN) :: xa(n),ya(n),x
INTEGER :: i,ns
DOUBLE PRECISION :: dif,dift,a,b,c
ns=1
dif=abs(x-xa(1))
!Here we find the index, ns, of the closest table entry
do i=1,n
dift=abs(x-xa(i))
if (dift.lt.dif) then
ns=i
dif=dift
endif
enddo
!calculate the value of c
c = (xa(2)-x) * ( (ya(3)-ya(2)) / (xa(2)-xa(3)) )
c = c - (xa(2)-x) * ( (ya(2)-ya(1)) / (xa(1)-xa(2)) )
c = c / (xa(1) - xa(3))
!calculate the values of a and b
if (ns .EQ. 3) then
a = (ya(3)-ya(2))/(xa(2)-xa(3))
b = xa(3)-x
else
a = (ya(2)-ya(1))/(xa(1)-xa(2))
b = xa(1)-x
endif
!calculate the value of polintd via polynomial interpolation
polintd = ya(ns) + (xa(ns)-x)*a + b*c
END FUNCTION polintd
subroutine LL2ij(longrd,latgrd,angle,inlon,inlat,numpar, &
xi_rho,eta_rho,Ipar,Jpar)
use param_mod, only: Eradius,deg2rad,rad2deg
integer :: numpar,xi_rho,eta_rho
double precision,intent(in) :: longrd(1:xi_rho,1:eta_rho),latgrd(1:xi_rho,1:eta_rho),angle(1:xi_rho,1:eta_rho)
double precision,intent(in) :: inlon(1:numpar),inlat(1:numpar)
double precision,intent(out) :: Ipar(1:numpar),Jpar(1:numpar)
integer :: i,Imin,Imax,Jmin,Jmax,i0,j0,j
logical :: found, foundi, foundj
double precision :: aa2, ang, bb2, diag2, dx, dy, phi
double precision :: xfac, xpp, yfac, ypp
! OPEN(10,FILE='TESTSTUFF.dat',STATUS='REPLACE')
do i=1,numpar
Imin=1
Imax=xi_rho
Jmin=1
Jmax=eta_rho
found=inbox(Imin,Imax, Jmin,Jmax, &
& longrd, latgrd, &
& inlon(i), inlat(i))
IF (found) THEN
DO while (((Imax-Imin).gt.1).or.((Jmax-Jmin).gt.1))
IF ((Imax-Imin).gt.1) THEN
i0=(Imin+Imax)/2
found=inbox(Imin, i0, Jmin,Jmax, &
& longrd, latgrd, &
& inlon(i), inlat(i))
IF (found) THEN
Imax=i0
ELSE
Imin=i0
END IF
END IF
IF ((Jmax-Jmin).gt.1) THEN
j0=(Jmin+Jmax)/2
found=inbox(Imin, Imax, Jmin,j0, &
& longrd, latgrd, &
& inlon(i), inlat(i))
IF (found) THEN
Jmax=j0
ELSE
Jmin=j0
END IF
END IF
END DO
endif
! write(10,"(F10.4,F10.4,F10.4,F10.4,F10.4,F10.4)") inlon(i), inlat(i),longrd(Imin,Jmin),latgrd(Imin,Jmin),longrd(Imax,Jmax),latgrd(Imax,Jmax)
! write(10,"(F10.4,F10.4,I4,I4,I4,I4)") inlon(i), inlat(i),Imin,Imax,Jmin,Jmax
found=inbox(Imin,Imax, Jmin,Jmax, &
& longrd, latgrd, &
& inlon(i), inlat(i))
if (found) then
yfac=Eradius*deg2rad
xfac=yfac*COS(inlat(i)*deg2rad)
xpp=(inlon(i)-longrd(Imin,Jmin))*xfac
ypp=(inlat(i)-latgrd(Imin,Jmin))*yfac
diag2=((longrd(Imin+1,Jmin)-longrd(Imin,Jmin+1))*xfac)**2+ &
& ((latgrd(Imin+1,Jmin)-latgrd(Imin,Jmin+1))*yfac)**2
aa2=((longrd(Imin,Jmin)-longrd(Imin+1,Jmin))*xfac)**2+ &
& ((latgrd(Imin,Jmin)-latgrd(Imin+1,Jmin))*yfac)**2
bb2=((longrd(Imin,Jmin)-longrd(Imin,Jmin+1))*xfac)**2+ &
& ((latgrd(Imin,Jmin)-latgrd(Imin,Jmin+1))*yfac)**2
phi=ASIN((diag2-aa2-bb2)/(2.0*SQRT(aa2*bb2)))
ang=angle(Imin,Jmin)
dx=xpp*COS(ang)+ypp*SIN(ang)
dy=ypp*COS(ang)-xpp*SIN(ang)
dx=dx+dy*TAN(phi)
dy=dy/COS(phi)
dx=MIN(MAX(0.0,dx/SQRT(aa2)),1.0)
dy=MIN(MAX(0.0,dy/SQRT(bb2)),1.0)
Ipar(i)=DBLE(Imin)+dx
Jpar(i)=DBLE(Jmin)+dy
else
Ipar(i)=-1.0
Jpar(i)=-1.0
endif
enddo
! CLOSE(10)
end subroutine LL2ij
LOGICAL FUNCTION inbox(Li,Ui, Lj,Uj, &
& longrd, latgrd, &
& inlon, inlat)
integer, intent(in) :: Li,Ui, Lj,Uj
double precision,intent(in) :: longrd(:,:),latgrd(:,:)
double precision,intent(in) :: inlon, inlat
integer :: Nb, i, j, shft, ic
double precision, dimension(2*(Uj-Lj+Ui-Li)+1) :: Lonb, Latb
Nb=2*(Uj-Lj+Ui-Li)
shft=1-Li
DO i=Li,Ui-1
Lonb(i+shft)=longrd(i,Lj)
Latb(i+shft)=latgrd(i,Lj)
END DO
shft=1-Lj+Ui-Li
DO j=Lj,Uj-1
Lonb(j+shft)=longrd(Ui,j)
Latb(j+shft)=latgrd(Ui,j)
END DO
shft=1+Uj-Lj+2*Ui-Li
DO i=Ui,Li+1,-1
Lonb(shft-i)=longrd(i,Uj)
Latb(shft-i)=latgrd(i,Uj)
END DO
shft=1+2*Uj-Lj+2*(Ui-Li)
DO j=Uj,Lj+1,-1
Lonb(shft-j)=longrd(Li,j)
Latb(shft-j)=latgrd(Li,j)
END DO
inbox=inside(Nb, Lonb, Latb, inlon, inlat)
RETURN
END FUNCTION inbox
LOGICAL FUNCTION inside (Nb, Xb, Yb, Xo, Yo)
!
!=======================================================================
! !
! Given the vectors Xb and Yb of size Nb, defining the coordinates !
! of a closed polygon, this function find if the point (Xo,Yo) is !
! inside the polygon. If the point (Xo,Yo) falls exactly on the !
! boundary of the polygon, it still considered inside. !
! !
! This algorithm does not rely on the setting of Xb(Nb)=Xb(1) and !
! Yb(Nb)=Yb(1). Instead, it assumes that the last closing segment !
! is (Xb(Nb),Yb(Nb)) --> (Xb(1),Yb(1)). !
! !
! Reference: !
! !
! Reid, C., 1969: A long way from Euclid. Oceanography EMR, !
! page 174. !
! !
! Algorithm: !
! !
! The decision whether the point is inside or outside the polygon !
! is done by counting the number of crossings from the ray (Xo,Yo) !
! to (Xo,-infinity), hereafter called meridian, by the boundary of !
! the polygon. In this counting procedure, a crossing is counted !
! as +2 if the crossing happens from "left to right" or -2 if from !
! "right to left". If the counting adds up to zero, then the point !
! is outside. Otherwise, it is either inside or on the boundary. !
! !
! This routine is a modified version of the Reid (1969) algorithm, !
! where all crossings were counted as positive and the decision is !
! made based on whether the number of crossings is even or odd. !
! This new algorithm may produce different results in cases where !
! Xo accidentally coinsides with one of the (Xb(k),k=1:Nb) points. !
! In this case, the crossing is counted here as +1 or -1 depending !
! of the sign of (Xb(k+1)-Xb(k)). Crossings are not counted if !
! Xo=Xb(k)=Xb(k+1). Therefore, if Xo=Xb(k0) and Yo>Yb(k0), and if !
! Xb(k0-1) < Xb(k0) < Xb(k0+1), the crossing is counted twice but !
! with weight +1 (for segments with k=k0-1 and k=k0). Similarly if !
! Xb(k0-1) > Xb(k0) > Xb(k0+1), the crossing is counted twice with !
! weight -1 each time. If, on the other hand, the meridian only !
! touches the boundary, that is, for example, Xb(k0-1) < Xb(k0)=Xo !
! and Xb(k0+1) < Xb(k0)=Xo, then the crossing is counted as +1 for !
! segment k=k0-1 and -1 for segment k=k0, resulting in no crossing. !
! !
! Note 1: (Explanation of the logical condition) !
! !
! Suppose that there exist two points (x1,y1)=(Xb(k),Yb(k)) and !
! (x2,y2)=(Xb(k+1),Yb(k+1)), such that, either (x1 < Xo < x2) or !
! (x1 > Xo > x2). Therefore, meridian x=Xo intersects the segment !
! (x1,y1) -> (x2,x2) and the ordinate of the point of intersection !
! is: !
! !
! y1*(x2-Xo) + y2*(Xo-x1) !
! y = ----------------------- !
! x2-x1 !
! !
! The mathematical statement that point (Xo,Yo) either coinsides !
! with the point of intersection or lies to the north (Yo>=y) from !
! it is, therefore, equivalent to the statement: !
! !
! Yo*(x2-x1) >= y1*(x2-Xo) + y2*(Xo-x1), if x2-x1 > 0 !
! or !
! Yo*(x2-x1) <= y1*(x2-Xo) + y2*(Xo-x1), if x2-x1 < 0 !
! !
! which, after noting that Yo*(x2-x1) = Yo*(x2-Xo + Xo-x1) may be !
! rewritten as: !
! !
! (Yo-y1)*(x2-Xo) + (Yo-y2)*(Xo-x1) >= 0, if x2-x1 > 0 !
! or !
! (Yo-y1)*(x2-Xo) + (Yo-y2)*(Xo-x1) <= 0, if x2-x1 < 0 !
! !
! and both versions can be merged into essentially the condition !
! that (Yo-y1)*(x2-Xo)+(Yo-y2)*(Xo-x1) has the same sign as x2-x1. !
! That is, the product of these two must be positive or zero. !
! !
!=======================================================================
!
! Imported variable declarations.
!
integer, intent(in) :: Nb
double precision, intent(in) :: Xo, Yo
DOUBLE PRECISION, intent(inout) :: Xb(:), Yb(:)
!
! Local variable declarations.
!
integer, parameter :: Nstep =128
integer :: crossings, i, inc, k, kk, nc
integer, dimension(Nstep) :: Sindex
DOUBLE PRECISION :: dx1, dx2, dxy
!
!-----------------------------------------------------------------------
! Find intersections.
!-----------------------------------------------------------------------
!
! Set crossings counter and close the contour of the polygon.
!
crossings=0
Xb(Nb+1)=Xb(1)
Yb(Nb+1)=Yb(1)
! The search is optimized. First select the indices of segments
! where Xb(k) is different from Xb(k+1) and Xo falls between them.
! Then, further investigate these segments in a separate loop.
! Doing it in two stages takes less time because the first loop is
! pipelined.
!
DO kk=0,Nb-1,Nstep
nc=0
DO k=kk+1,MIN(kk+Nstep,Nb)
IF (((Xb(k+1)-Xo)*(Xo-Xb(k)).ge.0.0).and. &
& (Xb(k).ne.Xb(k+1))) THEN
nc=nc+1
Sindex(nc)=k
END IF
END DO
DO i=1,nc
k=Sindex(i)
IF (Xb(k).ne.Xb(k+1)) THEN
dx1=Xo-Xb(k)
dx2=Xb(k+1)-Xo
dxy=dx2*(Yo-Yb(k))-dx1*(Yb(k+1)-Yo)
inc=0
IF ((Xb(k).eq.Xo).and.(Yb(k).eq.Yo)) THEN
crossings=1
goto 10
ELSE IF (((dx1.eq.0.0).and.(Yo.ge.Yb(k ))).or. &
& ((dx2.eq.0.0).and.(Yo.ge.Yb(k+1)))) THEN
inc=1
ELSE IF ((dx1*dx2.gt.0.0).and. &
& ((Xb(k+1)-Xb(k))*dxy.ge.0.0)) THEN ! see note 1
inc=2
END IF
IF (Xb(k+1).gt.Xb(k)) THEN
crossings=crossings+inc
ELSE
crossings=crossings-inc
END IF
END IF
END DO
END DO
!
! Determine if point (Xo,Yo) is inside of closed polygon.
!
10 IF (crossings.eq.0) THEN
inside=.FALSE.
ELSE
inside=.TRUE.
END IF
RETURN
END FUNCTION inside
DOUBLE PRECISION FUNCTION getInterp2d(var,ng,Ipar,Jpar,t)
!This Function returns the interpolated value at the particle's location
!
use grid_mod, only: GRIDS
use hydro_mod, only: HYDRODATA
IMPLICIT NONE
CHARACTER(LEN=*), INTENT(IN) :: var
INTEGER, INTENT(IN) :: ng
DOUBLE PRECISION, INTENT(IN) :: Ipar,Jpar
INTEGER :: Inode,Jnode,t,i
DOUBLE PRECISION :: v(4),m(4),cff(4)
DOUBLE PRECISION :: cff4,X,Y
DOUBLE PRECISION :: Ival,nwater
Inode=floor(Ipar)
Jnode=floor(Jpar)
X=Ipar-Inode
Y=Jpar-Jnode
m(1) = GRIDS(ng)%mask_rho(Inode,Jnode)
m(2) = GRIDS(ng)%mask_rho(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_rho(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_rho(Inode,Jnode+1)
! f(x,y)=f(0,0)(1-x)(1-y)+f(1,0)x(1-y)+f(0,1)(1-x)y+f(1,1)xy,}
cff(1)=(1-X)*(1-Y)
cff(2)=X*(1-Y)
cff(3)=X*Y
cff(4)=(1-X)*Y
!Determine which data to interpolate from
SELECT CASE(var)
CASE("depth")
v(1) = GRIDS(ng)%H(Inode,Jnode)
v(2) = GRIDS(ng)%H(Inode+1,Jnode)
v(3) = GRIDS(ng)%H(Inode+1,Jnode+1)
v(4) = GRIDS(ng)%H(Inode,Jnode+1)
CASE("pm")
v(1) = GRIDS(ng)%pm(Inode,Jnode)
v(2) = GRIDS(ng)%pm(Inode+1,Jnode)
v(3) = GRIDS(ng)%pm(Inode+1,Jnode+1)
v(4) = GRIDS(ng)%pm(Inode,Jnode+1)
CASE("pn")
v(1) = GRIDS(ng)%pn(Inode,Jnode)
v(2) = GRIDS(ng)%pn(Inode+1,Jnode)
v(3) = GRIDS(ng)%pn(Inode+1,Jnode+1)
v(4) = GRIDS(ng)%pn(Inode,Jnode+1)
CASE("lon")
v(1) = GRIDS(ng)%lon_rho(Inode,Jnode)
v(2) = GRIDS(ng)%lon_rho(Inode+1,Jnode)
v(3) = GRIDS(ng)%lon_rho(Inode+1,Jnode+1)
v(4) = GRIDS(ng)%lon_rho(Inode,Jnode+1)
CASE("lat")
v(1) = GRIDS(ng)%lat_rho(Inode,Jnode)
v(2) = GRIDS(ng)%lat_rho(Inode+1,Jnode)
v(3) = GRIDS(ng)%lat_rho(Inode+1,Jnode+1)
v(4) = GRIDS(ng)%lat_rho(Inode,Jnode+1)
CASE("zeta")
v(1) = HYDRODATA(ng)%zeta(Inode,Jnode,t)
v(2) = HYDRODATA(ng)%zeta(Inode+1,Jnode,t)
v(3) = HYDRODATA(ng)%zeta(Inode+1,Jnode+1,t)
v(4) = HYDRODATA(ng)%zeta(Inode,Jnode+1,t)
call getcoeff(X,Y,m,cff)
CASE DEFAULT
write(*,*) 'Problem interpolating ',var
write(*,*) ' '
write(*,*) 'The Program Cannot Continue and Will Terminate'
stop
END SELECT
! if(tOK == 1) then
!Ival=cff1*v(1)+cff2*v(2)+cff3*v(3)+cff4*v(4)
! write(*,*) v(1),v(2),v(3),v(4),Ival
getInterp2D = cff(1)*v(1)+cff(2)*v(2)+cff(3)*v(3)+cff(4)*v(4)
END FUNCTION getInterp2D
DOUBLE PRECISION FUNCTION getInterp3d(var,ng,Ipar,Jpar,Zpar,t,ztype,zeta,depth)
!This Function returns the interpolated value at the particle's location
! using the interpolation variables stored from function setInterp, and
! the hydrodynamic variables that have been read in
use grid_mod, only: GRIDS,getSlevel,getWlevel
use hydro_mod, only: HYDRODATA
use param_mod, only: s_rho,s_w,xi_rho,eta_rho,xi_u,eta_u,xi_v,eta_v
IMPLICIT NONE
CHARACTER(LEN=*), INTENT(IN) :: var
INTEGER, INTENT(IN) :: ng,t,ztype
DOUBLE PRECISION, INTENT(IN) :: Ipar,Jpar,Zpar,zeta,depth
INTEGER :: Inode,Jnode,nz,i,Itop,Ibot
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:) :: zprof
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:,:) :: v
DOUBLE PRECISION :: m(4),cff(4),zcff(2)
DOUBLE PRECISION :: X,Y,uvIpar,uvJpar,Z
DOUBLE PRECISION :: Ival,zlev(2),nwater
SELECT CASE(ztype)
CASE(int(1))
nz=s_rho(ng)
itop=nz
ibot=nz
do i=1,nz
zlev(2)=getSlevel(zeta,depth,ng,i)
if (zlev(2).gt.Zpar) then
Itop=i
Ibot=i-1
if (i.eq.1) then
zlev(1)=depth
else
zlev(1)=getSlevel(zeta,depth,ng,i-1)
endif
exit
endif
enddo
if (i.gt.nz) then
Itop=nz
Ibot=nz
zcff(1)=0.5
zcff(2)=0.5
elseif (Itop.eq.1) then
Itop=1
Ibot=1
zcff(1)=0.5
zcff(2)=0.5
else
Z=(Zpar-zlev(1))/(zlev(2)-zlev(1))
zcff(1)=1.0-Z
zcff(2)=Z
endif
CASE (int(2))
nz=s_w(ng)
itop=nz
ibot=nz
do i=1,nz
zlev(2)=getWlevel(zeta,depth,ng,i)
if (zlev(2).gt.Zpar) then
zlev(1)=getWlevel(zeta,depth,ng,i-1)
Itop=i
Ibot=i-1
exit
endif
enddo
Z=(Zpar-zlev(1))/(zlev(2)-zlev(1))
zcff(1)=1.0-Z
zcff(2)=Z
CASE DEFAULT
write(*,*) 'NOT A VALID DEPTH TYPE'
write(*,*) ' '
write(*,*) 'The Program Cannot Continue and Will Terminate'
stop
END SELECT
ALLOCATE(v(4,nz))
ALLOCATE(zprof(nz))
Inode=floor(Ipar)
Jnode=floor(Jpar)
X=Ipar-Inode
Y=Jpar-Jnode
! f(x,y)=f(0,0)(1-x)(1-y)+f(1,0)x(1-y)+f(0,1)(1-x)y+f(1,1)xy,}
cff(1)=(1-X)*(1-Y)
cff(2)=X*(1-Y)
cff(3)=X*Y
cff(4)=(1-X)*Y
!Determine which data to interpolate from
SELECT CASE(var)
CASE("u")
uvIpar=Ipar-0.5d0
Inode=floor(uvIpar)
X=uvIpar-Inode
cff(1)=(1-X)*(1-Y)
cff(2)=X*(1-Y)
cff(3)=X*Y
cff(4)=(1-X)*Y
if (Inode.GE.xi_u(ng)) then
v(1,:) = HYDRODATA(ng)%U(xi_u(ng),Jnode,:,t)
v(2,:) = HYDRODATA(ng)%U(xi_u(ng),Jnode,:,t)
v(3,:) = HYDRODATA(ng)%U(xi_u(ng),Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%U(xi_u(ng),Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_u(xi_u(ng),Jnode,t)
m(2) = 0
m(3) = 0
m(4) = HYDRODATA(ng)%wetdry_mask_u(xi_u(ng),Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_u(xi_u(ng),Jnode)
m(2) = 0
m(3) = 0
m(4) = GRIDS(ng)%mask_u(xi_u(ng),Jnode+1)
#endif
elseif (Inode.LT.1) then
v(1,:) = HYDRODATA(ng)%U(1,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%U(1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%U(1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%U(1,Jnode+1,:,t)
#ifdef WETDRY
m(1) = 0
m(2) = HYDRODATA(ng)%wetdry_mask_u(1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_u(1,Jnode+1,t)
m(4) = 0
#else
m(1) = 0
m(2) = GRIDS(ng)%mask_u(1,Jnode)
m(3) = GRIDS(ng)%mask_u(1,Jnode+1)
m(4) = 0
#endif
else
v(1,:) = HYDRODATA(ng)%U(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%U(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%U(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%U(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_u(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_u(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_u(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_u(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_u(Inode,Jnode)
m(2) = GRIDS(ng)%mask_u(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_u(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_u(Inode,Jnode+1)
#endif
endif
nwater=m(1)+m(2)+m(3)+m(4)
if ((nwater.LT.4.0).and.(nwater.GT.0.0)) then
do i=1,nz
if (m(1).eq.0.0d0) v(1,i)=0.0
if (m(2).eq.0.0d0) v(2,i)=0.0
if (m(3).eq.0.0d0) v(3,i)=0.0
if (m(4).eq.0.0d0) v(4,i)=0.0
enddo
elseif (nwater.EQ.0.0) then
cff=0
v=0
endif
CASE("v")
uvJpar=Jpar-0.5
Jnode=floor(uvJpar)
if (Jnode.lt.1) Jnode=1
if (Jnode.gt.eta_v(ng)) Inode=eta_v(ng)
Y=uvJpar-Jnode
cff(1)=(1-X)*(1-Y)
cff(2)=X*(1-Y)
cff(3)=X*Y
cff(4)=(1-X)*Y
if (Jnode.GE.eta_v(ng)) then
v(1,:) = HYDRODATA(ng)%V(Inode,eta_v(ng),:,t)
v(2,:) = HYDRODATA(ng)%V(Inode+1,eta_v(ng),:,t)
v(3,:) = HYDRODATA(ng)%V(Inode+1,eta_v(ng),:,t)
v(4,:) = HYDRODATA(ng)%V(Inode,eta_v(ng),:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_v(Inode,eta_v(ng),t)
m(2) = HYDRODATA(ng)%wetdry_mask_v(Inode+1,eta_v(ng),t)
m(3) = 0
m(4) = 0
#else
m(1) = GRIDS(ng)%mask_v(Inode,eta_v(ng))
m(2) = GRIDS(ng)%mask_v(Inode+1,eta_v(ng))
m(3) = 0
m(4) = 0
#endif
elseif (Jnode.LT.1) then
v(1,:) = HYDRODATA(ng)%V(Inode,1,:,t)
v(2,:) = HYDRODATA(ng)%V(Inode+1,1,:,t)
v(3,:) = HYDRODATA(ng)%V(Inode+1,1,:,t)
v(4,:) = HYDRODATA(ng)%V(Inode,1,:,t)
#ifdef WETDRY
m(1) = 0
m(2) = 0
m(3) = HYDRODATA(ng)%wetdry_mask_v(Inode+1,1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_v(Inode,1,t)
#else
m(1) = 0
m(2) = 0
m(3) = GRIDS(ng)%mask_v(Inode+1,1)
m(4) = GRIDS(ng)%mask_v(Inode,1)
#endif
else
v(1,:) = HYDRODATA(ng)%V(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%V(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%V(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%V(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_v(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_v(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_v(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_v(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_v(Inode,Jnode)
m(2) = GRIDS(ng)%mask_v(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_v(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_v(Inode,Jnode+1)
#endif
endif
nwater=m(1)+m(2)+m(3)+m(4)
if ((nwater.LT.4.0).and.(nwater.GT.0.0)) then
!call getcoeff(X,Y,m,cff)
do i=1,nz
if (m(1).eq.0.0d0) v(1,i)=0.0
if (m(2).eq.0.0d0) v(2,i)=0.0
if (m(3).eq.0.0d0) v(3,i)=0.0
if (m(4).eq.0.0d0) v(4,i)=0.0
enddo
elseif (nwater.EQ.0.0) then
cff=0
v=0
endif
CASE("salt")
v(1,:) = HYDRODATA(ng)%salt(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%salt(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%salt(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%salt(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_rho(Inode,Jnode)
m(2) = GRIDS(ng)%mask_rho(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_rho(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_rho(Inode,Jnode+1)
#endif
nwater=m(1)+m(2)+m(3)+m(4)
if (nwater.LT.4.0) then
call getcoeff(X,Y,m,cff)
endif
CASE("temp")
v(1,:) = HYDRODATA(ng)%temp(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%temp(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%temp(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%temp(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_rho(Inode,Jnode)
m(2) = GRIDS(ng)%mask_rho(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_rho(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_rho(Inode,Jnode+1)
#endif
nwater=m(1)+m(2)+m(3)+m(4)
if (nwater.LT.4.0) then
call getcoeff(X,Y,m,cff)
endif
CASE("AKs")
v(1,:) = HYDRODATA(ng)%AKs(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%AKs(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%AKs(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%AKs(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_rho(Inode,Jnode)
m(2) = GRIDS(ng)%mask_rho(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_rho(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_rho(Inode,Jnode+1)
#endif
nwater=m(1)+m(2)+m(3)+m(4)
if (nwater.LT.4.0) then
call getcoeff(X,Y,m,cff)
endif
CASE("turbaccel")
v(1,:) = HYDRODATA(ng)%Accelstd_t(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%Accelstd_t(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%Accelstd_t(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%Accelstd_t(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_rho(Inode,Jnode)
m(2) = GRIDS(ng)%mask_rho(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_rho(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_rho(Inode,Jnode+1)
#endif
nwater=m(1)+m(2)+m(3)+m(4)
if (nwater.LT.4.0) then
call getcoeff(X,Y,m,cff)
endif
CASE("turbvort")
v(1,:) = HYDRODATA(ng)%Vortstd_t(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%Vortstd_t(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%Vortstd_t(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%Vortstd_t(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_rho(Inode,Jnode)
m(2) = GRIDS(ng)%mask_rho(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_rho(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_rho(Inode,Jnode+1)
#endif
nwater=m(1)+m(2)+m(3)+m(4)
if (nwater.LT.4.0) then
call getcoeff(X,Y,m,cff)
endif
CASE("waveaccelu")
v(1,:) = HYDRODATA(ng)%Accelustd_w(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%Accelustd_w(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%Accelustd_w(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%Accelustd_w(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_rho(Inode,Jnode)
m(2) = GRIDS(ng)%mask_rho(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_rho(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_rho(Inode,Jnode+1)
#endif
nwater=m(1)+m(2)+m(3)+m(4)
if (nwater.LT.4.0) then
call getcoeff(X,Y,m,cff)
endif
CASE("waveaccelv")
v(1,:) = HYDRODATA(ng)%Accelvstd_w(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%Accelvstd_w(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%Accelvstd_w(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%Accelvstd_w(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_rho(Inode,Jnode)
m(2) = GRIDS(ng)%mask_rho(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_rho(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_rho(Inode,Jnode+1)
#endif
nwater=m(1)+m(2)+m(3)+m(4)
if (nwater.LT.4.0) then
call getcoeff(X,Y,m,cff)
endif
CASE("w")
v(1,:) = HYDRODATA(ng)%W(Inode,Jnode,:,t)
v(2,:) = HYDRODATA(ng)%W(Inode+1,Jnode,:,t)
v(3,:) = HYDRODATA(ng)%W(Inode+1,Jnode+1,:,t)
v(4,:) = HYDRODATA(ng)%W(Inode,Jnode+1,:,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode,t)
m(2) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode,t)
m(3) = HYDRODATA(ng)%wetdry_mask_rho(Inode+1,Jnode+1,t)
m(4) = HYDRODATA(ng)%wetdry_mask_rho(Inode,Jnode+1,t)
#else
m(1) = GRIDS(ng)%mask_rho(Inode,Jnode)
m(2) = GRIDS(ng)%mask_rho(Inode+1,Jnode)
m(3) = GRIDS(ng)%mask_rho(Inode+1,Jnode+1)
m(4) = GRIDS(ng)%mask_rho(Inode,Jnode+1)
#endif
nwater=m(1)+m(2)+m(3)+m(4)
if (nwater.LT.4.0) then
call getcoeff(X,Y,m,cff)
endif
CASE DEFAULT
write(*,*) 'Problem interpolating ',var
write(*,*) ' '
write(*,*) 'The Program Cannot Continue and Will Terminate'
stop
END SELECT
do i=1,nz
zprof(i)= cff(1)*v(1,i)+cff(2)*v(2,i)+cff(3)*v(3,i)+cff(4)*v(4,i)
enddo
getInterp3D=(zcff(1)*zprof(Ibot)+zcff(2)*zprof(Itop))
DEALLOCATE(v)
DEALLOCATE(zprof)
END FUNCTION getInterp3D
DOUBLE PRECISION FUNCTION getInterpStr(var,ng,Ipar,Jpar,t)
!This Function returns the interpolated value at the particle's location
! using the interpolation variables stored from function setInterp, and
! the hydrodynamic variables that have been read in
use grid_mod, only: GRIDS
use hydro_mod, only: HYDRODATA
use param_mod, only: xi_rho,eta_rho,xi_u,eta_u,xi_v,eta_v
IMPLICIT NONE
CHARACTER(LEN=*), INTENT(IN) :: var
INTEGER, INTENT(IN) :: ng,t
DOUBLE PRECISION, INTENT(IN) :: Ipar,Jpar
INTEGER :: Inode,Jnode,i
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:) :: v
DOUBLE PRECISION :: m(4),cff(4)
DOUBLE PRECISION :: X,Y,uvIpar,uvJpar
DOUBLE PRECISION :: Ival,nwater
ALLOCATE(v(4))
! write(*,*) '-----'
!write(*,"(I,F10.4,F10.4,F10.4,F10.4,F10.4,F10.4)") ztype,zlev(1),ZPar,zlev(2),zeta,zcff(1),zcff(2)
! write(*,*) Itop,Ibot
Inode=floor(Ipar)
Jnode=floor(Jpar)
X=Ipar-Inode
Y=Jpar-Jnode
! f(x,y)=f(0,0)(1-x)(1-y)+f(1,0)x(1-y)+f(0,1)(1-x)y+f(1,1)xy,}
cff(1)=(1-X)*(1-Y)
cff(2)=X*(1-Y)
cff(3)=X*Y
cff(4)=(1-X)*Y
!Determine which data to interpolate from
SELECT CASE(var)
CASE("bustr")
uvIpar=Ipar-0.5d0
Inode=floor(uvIpar)
X=uvIpar-Inode
cff(1)=(1-X)*(1-Y)
cff(2)=X*(1-Y)
cff(3)=X*Y
cff(4)=(1-X)*Y
if (Inode.GE.xi_u(ng)) then
v(1) = HYDRODATA(ng)%bustr(xi_u(ng),Jnode,t)
v(2) = HYDRODATA(ng)%bustr(xi_u(ng),Jnode,t)
v(3) = HYDRODATA(ng)%bustr(xi_u(ng),Jnode+1,t)
v(4) = HYDRODATA(ng)%bustr(xi_u(ng),Jnode+1,t)
#ifdef WETDRY
m(1) = HYDRODATA(ng)%wetdry_mask_u(xi_u(ng),Jnode,t)