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! version 3; Last Modified: May 7, 2008.
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***s/r v4d_irgdint_3_nw - Cubic interpolation without wrap around,
* based on EZ_IRGDINT_3_NW (Y.Chartier EZSCINT 2001)
*
subroutine v4d_irgdint_3_nw (zo,px,py,npts,ax,ay,cx,cy,zi,i1,i2,j1,j2,nk,jmin,jmax) 7
*
implicit none
*
integer npts,i1,i2,j1,j2,nk,jmin,jmax
real zo(nk,npts),zi(i1:i2,j1:j2,nk),
% px(npts),py(npts),ax(i1:i2),ay(j1:j2),cx(i1:i2,6),cy(j1:j2,6)
*
*author Tanguay M.
*
*revision
* v3_00 - Tanguay M. - initial MPI version
* v3_11 - Tanguay M. - correction for px or py negative
* v3_31 - Tanguay M. - Add OPENMP directives
*
*object
* see id section
*
*arguments
* Name I/O Description
*----------------------------------------------------------------
* zo O Interpolated field at positions px,py
* px I Position x in INPUT grid
* py I Position y in INPUT grid
* npts I Number of positions in zo
* zi I Field on INPUT grid
* ax I X axe of INPUT grid
* ay I Y axe of INPUT grid
* cx I AX difference on INPUT grid
* cy I AY difference on INPUT grid
* i1-i2 I Dimension x in INPUT grid
* j1-j2 I Dimension y in INPUT grid
* nk I Dimension z in INPUT grid
* jmin I Lower limit j
* jmax I Higher limit j
*----------------------------------------------------------------
*
integer i,j,n,k
real*8 a11_8,a12_8,a13_8,a14_8,a21_8,a22_8,a23_8,a24_8,
% a31_8,a32_8,a33_8,a34_8,a41_8,a42_8,a43_8,a44_8,
% b11_8,b12_8,b13_8,b14_8
*
real*8 x1_8,x2_8,x3_8,x4_8,y1_8,y2_8,y3_8,y4_8,
% a1_8,a2_8,a3_8,a4_8,b1_8,b2_8,b3_8,b4_8,
% c1_8,c2_8,c3_8,c4_8,c5_8,c6_8,
% x_8,y_8
*
* Definition of in-line functions
* -------------------------------
real fa,fa2,fa3,fa4
real*8 z1_8,z2_8,z3_8,z4_8
*
fa (a1_8,a2_8,a3_8,a4_8,x_8,x1_8,x2_8,x3_8)
% =a1_8+(x_8-x1_8)*(a2_8+(x_8-x2_8)*(a3_8+a4_8*(x_8-x3_8)))
*
fa2(c1_8,a1_8,a2_8)
% =c1_8*(a2_8-a1_8)
*
fa3(c1_8,c2_8,c3_8,a1_8,a2_8,a3_8)
% =c2_8*(c3_8*(a3_8-a2_8)-c1_8*(a2_8-a1_8))
*
fa4(c1_8,c2_8,c3_8,c4_8,c5_8,c6_8,a1_8,a2_8,a3_8,a4_8)
% =c4_8*(c5_8*(c6_8*(a4_8-a3_8)
% -c3_8*(a3_8-a2_8))-c2_8*(c3_8*(a3_8-a2_8)-c1_8*(a2_8-a1_8)))
*
!$omp parallel private(i,j,k,x1_8,x2_8,x3_8,x4_8,y1_8,y2_8,y3_8,y4_8,
!$omp$ z1_8,z2_8,z3_8,z4_8,x_8,y_8,
!$omp$ b1_8,b2_8,b3_8,b4_8,
!$omp$ a11_8,a12_8,a13_8,a14_8,
!$omp$ a21_8,a22_8,a23_8,a24_8,
!$omp$ a31_8,a32_8,a33_8,a34_8,
!$omp$ a41_8,a42_8,a43_8,a44_8,
!$omp$ b11_8,b12_8,b13_8,b14_8)
*
!$omp do
do n=1,npts
do k=1,nk
*
i = min(i2-2, max(i1+1, ifix(px(n))))
j = min(jmax-2,max(jmin+1,ifix(py(n))))
*
if (px(n).lt.0.) i = i-1
*
if (py(n).lt.0.) j = j-1
*
x1_8=ax(i-1)
x2_8=ax(i)
x3_8=ax(i+1)
x4_8=ax(i+2)
*
y1_8=ay(j-1)
y2_8=ay(j)
y3_8=ay(j+1)
y4_8=ay(j+2)
*
x_8 = x2_8 + (x3_8-x2_8)*(px(n)-i)
y_8 = ay(j) + (ay(j+1)-ay(j))*(py(n)-j)
*
* interpolation row 1
* -------------------
z1_8=zi(i-1,j-1,k)
z2_8=zi(i ,j-1,k)
z3_8=zi(i+1,j-1,k)
z4_8=zi(i+2,j-1,k)
*
a11_8 = z1_8
a12_8 = fa2(dble(cx(i,1)),z1_8,z2_8)
a13_8 = fa3(dble(cx(i,1)),dble(cx(i,2)),dble(cx(i,3)),z1_8,z2_8,z3_8)
a14_8 = fa4(dble(cx(i,1)),dble(cx(i,2)),dble(cx(i,3)),
% dble(cx(i,4)),dble(cx(i,5)),dble(cx(i,6)),z1_8,z2_8,z3_8,z4_8)
b1_8 = fa(a11_8,a12_8,a13_8,a14_8,x_8,x1_8,x2_8,x3_8)
*
* interpolation row 2
* -------------------
z1_8=zi(i-1,j,k)
z2_8=zi(i ,j,k)
z3_8=zi(i+1,j,k)
z4_8=zi(i+2,j,k)
*
a21_8 = z1_8
a22_8 = fa2(dble(cx(i,1)),z1_8,z2_8)
a23_8 = fa3(dble(cx(i,1)),dble(cx(i,2)),dble(cx(i,3)),z1_8,z2_8,z3_8)
a24_8 = fa4(dble(cx(i,1)),dble(cx(i,2)),dble(cx(i,3)),
% dble(cx(i,4)),dble(cx(i,5)),dble(cx(i,6)),z1_8,z2_8,z3_8,z4_8)
b2_8 = fa(a21_8,a22_8,a23_8,a24_8,x_8,x1_8,x2_8,x3_8)
*
* interpolation row 3
* -------------------
z1_8=zi(i-1,j+1,k)
z2_8=zi(i ,j+1,k)
z3_8=zi(i+1,j+1,k)
z4_8=zi(i+2,j+1,k)
*
a31_8 = z1_8
a32_8 = fa2(dble(cx(i,1)),z1_8,z2_8)
a33_8 = fa3(dble(cx(i,1)),dble(cx(i,2)),dble(cx(i,3)),z1_8,z2_8,z3_8)
a34_8 = fa4(dble(cx(i,1)),dble(cx(i,2)),dble(cx(i,3)),dble(cx(i,4)),
% dble(cx(i,5)),dble(cx(i,6)),z1_8,z2_8,z3_8,z4_8)
b3_8 = fa(a31_8,a32_8,a33_8,a34_8,x_8,x1_8,x2_8,x3_8)
*
* interpolation row 4
* -------------------
z1_8=zi(i-1,j+2,k)
z2_8=zi(i ,j+2,k)
z3_8=zi(i+1,j+2,k)
z4_8=zi(i+2,j+2,k)
*
a41_8 = z1_8
a42_8 = fa2(dble(cx(i,1)),z1_8,z2_8)
a43_8 = fa3(dble(cx(i,1)),dble(cx(i,2)),dble(cx(i,3)),z1_8,z2_8,z3_8)
a44_8 = fa4(dble(cx(i,1)),dble(cx(i,2)),dble(cx(i,3)),dble(cx(i,4)),
% dble(cx(i,5)),dble(cx(i,6)),z1_8,z2_8,z3_8,z4_8)
b4_8 = fa(a41_8,a42_8,a43_8,a44_8,x_8,x1_8,x2_8,x3_8)
*
* interpolation column
* --------------------
b11_8 = b1_8
b12_8 = fa2(dble(cy(j,1)),b1_8,b2_8)
b13_8 = fa3(dble(cy(j,1)),dble(cy(j,2)),dble(cy(j,3)),b1_8,b2_8,b3_8)
b14_8 = fa4(dble(cy(j,1)),dble(cy(j,2)),dble(cy(j,3)),
% dble(cy(j,4)),dble(cy(j,5)),dble(cy(j,6)),b1_8,b2_8,b3_8,b4_8)
zo(k,n) = fa(b11_8,b12_8,b13_8,b14_8,y_8,y1_8,y2_8,y3_8)
*
enddo
enddo
!$omp enddo
*
!$omp end parallel
*
return
end