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rot.F90
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rot.F90
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module rotation
! use shr_kind_mod, only: r8 => shr_kind_r8
private
public rotby
public rotby2
public rotby3
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
FUNCTION ROTBY( AA,N,THETA ) RESULT(AR)
implicit none
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
INTEGER, intent(IN) :: N
REAL, intent(IN) :: AA(N,N),THETA
REAL :: AR(N,N)
real :: x(n),y(n)
real :: xp(n,n),yp(n,n)
real :: r(n,n),wt(n,n)
real :: THETRAD,PI,swt
integer :: i,j,l,m,n2
PI = 2*ACOS(0.0)
THETRAD = theta*(PI/180.)
n2=n/2
do i=1,n
x(i)=-n2+i*1.-.5
end do
n2=n/2
do i=1,n
y(i)=-n2+i*1.-.5
end do
do j=1,n
do i=1,n
xp(i,j)=x(i)*cos(thetrad) - y(j)*sin(thetrad)
yp(i,j)=y(j)*cos(thetrad) + x(i)*sin(thetrad)
end do
end do
do j=1,n
do i=1,n
if ( (xp(i,j)<x(1)).or.(xp(i,j)>x(n)).or.(yp(i,j)<y(1)).or.(yp(i,j)>y(n)) ) then
ar(i,j)=-99999.9
else
ar(i,j)=1.
endif
end do
end do
do j=1,n
do i=1,n
r = (xp - x(i))**2 + (yp-y(j))**2
where( r <= 2. )
wt=2.-r
elsewhere
wt=0.
endwhere
swt = sum(wt)
if (swt > 0.) ar(i,j) = sum( aa*wt )/swt
end do
end do
end FUNCTION ROTBY
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
FUNCTION ROTBY2( AA,N,THETA ) RESULT(AR)
implicit none
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
INTEGER, intent(IN) :: N
REAL, intent(IN) :: AA(N,N),THETA
REAL :: AR(N,N)
real :: x(n),y(n)
real :: xp(n,n),yp(n,n)
real :: r(n,n),wt(n,n)
real :: THETRAD,PI,swt
integer :: i,j,l,m,n2,ii,jj,i1,j1,r00,r10,r01,r11
PI = 2*ACOS(0.0)
THETRAD = -theta*(PI/180.)
n2=n/2
do i=1,n
x(i)=-n2+i*1. -1. - 0.5
end do
n2=n/2
do i=1,n
y(i)=-n2+i*1. -1. - 0.5
end do
do j=1,n
do i=1,n
xp(i,j)=x(i)*cos(thetrad) - y(j)*sin(thetrad)
yp(i,j)=y(j)*cos(thetrad) + x(i)*sin(thetrad)
end do
end do
do j=1,n
do i=1,n
if ( (xp(i,j)<x(1)).or.(xp(i,j)>x(n)).or.(yp(i,j)<y(1)).or.(yp(i,j)>y(n)) ) then
ar(i,j)=-9999999.9
else
ii=count( x<=xp(i,j))
jj=count( y<=yp(i,j))
!!ar(i,j)=aa(ii,jj)
i1=ii+1
j1=jj+1
if (ii==n) i1=n
if (jj==n) j1=n
r00 = 2.-(xp(i,j) - x(ii))**2 + (yp(i,j) - y(ii))**2
r10 = 2.-(xp(i,j) - x(i1))**2 + (yp(i,j) - y(ii))**2
r01 = 2.-(xp(i,j) - x(ii))**2 + (yp(i,j) - y(i1))**2
r11 = 2.-(xp(i,j) - x(i1))**2 + (yp(i,j) - y(i1))**2
ar(i,j) = ( r00*aa(ii,jj)+r10*aa(i1,jj)+r01*aa(ii,j1)+r11*aa(i1,j1) ) / &
(r00+r01+r10+r11)
endif
end do
end do
!write(111) aa
!write(111) ar
!write(111) xp
!write(111) yp
end FUNCTION ROTBY2
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
FUNCTION ROTBY3( AA,N,THETA ) RESULT(AR)
implicit none
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
INTEGER, intent(IN) :: N
REAL, intent(IN) :: AA(N,N),THETA
REAL :: AR(N,N)
real :: x(n),y(n)
real :: xp(n,n),yp(n,n)
real :: r(n,n),wt(n,n)
real :: THETRAD,PI,swt
integer :: i,j,l,m,n2,ii,jj,i1,j1,r00,r10,r01,r11,ic,d00
PI = 2*ACOS(0.0)
THETRAD = -theta*(PI/180.)
n2=n/2
do i=1,n
x(i)=-n2+i*1. - 0.5
end do
n2=n/2
do i=1,n
y(i)=-n2+i*1. - 0.5
end do
do j=1,n
do i=1,n
xp(i,j)=x(i)*cos(thetrad) - y(j)*sin(thetrad)
yp(i,j)=y(j)*cos(thetrad) + x(i)*sin(thetrad)
end do
end do
do j=1,n
do i=1,n
if ( (xp(i,j)<x(1)).or.(xp(i,j)>x(n)).or.(yp(i,j)<y(1)).or.(yp(i,j)>y(n)) ) then
ar(i,j)=-9999999.9
else
do ic=1,n-1
if ( x(ic+1) > xp(i,j) ) then
ii=ic
exit
end if
end do
do ic=1,n-1
if ( y(ic+1) > yp(i,j) ) then
jj=ic
exit
end if
end do
!ii=count( x<=xp(i,j))
!jj=count( y<=yp(i,j))
!!ar(i,j)=aa(ii,jj)
i1=ii+1
j1=jj+1
if (ii==n) i1=n
if (jj==n) j1=n
r00=0.
r10=0.
r01=0.
r11=0.
if ( ( abs( xp(i,j) - x(ii) ) <= 0.5 ) .and. ( abs( yp(i,j) - y(jj) ) <= 0.5 ) ) then
r00=1.
end if
if ( ( abs( xp(i,j) - x(ii) ) > 0.5 ) .and. ( abs( yp(i,j) - y(jj) ) <= 0.5 ) ) then
r10=1.
end if
if ( ( abs( xp(i,j) - x(ii) ) <= 0.5 ) .and. ( abs( yp(i,j) - y(jj) ) > 0.5 ) ) then
r01=1.
end if
if ( ( abs( xp(i,j) - x(ii) ) > 0.5 ) .and. ( abs( yp(i,j) - y(jj) ) > 0.5 ) ) then
r11=1.
end if
ar(i,j) = ( r00*aa(ii,jj)+r10*aa(i1,jj)+r01*aa(ii,j1)+r11*aa(i1,j1) ) / &
(r00+r01+r10+r11)
endif
end do
end do
end FUNCTION ROTBY3
end module rotation