% 
% Read in CS 510 input fields
xc1 = zeros(511,511,6);
yc1 = zeros(511,511,6);
dxf1 = zeros(511,511,6);
dyf1 = zeros(511,511,6);
ra1 = zeros(511,511,6);
xg1 = zeros(511,511,6);
yg1 = zeros(511,511,6);
dxv1 = zeros(511,511,6);
dyu1 = zeros(511,511,6);
raz1 = zeros(511,511,6);
dxc1 = zeros(511,511,6);
dyc1 = zeros(511,511,6);
raw1 = zeros(511,511,6);
ras1 = zeros(511,511,6);
dxg1 = zeros(511,511,6);
dyg1 = zeros(511,511,6);
for iface=1:6
fid = fopen(['tile00' num2str(iface) '.mitgrid'],'r','b');
xc1(:,:,iface) = fread(fid,[511 511],'real*8');
yc1(:,:,iface) = fread(fid,[511 511],'real*8');
dxf1(:,:,iface) = fread(fid,[511 511],'real*8');
dyf1(:,:,iface) = fread(fid,[511 511],'real*8');
ra1(:,:,iface) = fread(fid,[511 511],'real*8');
xg1(:,:,iface) = fread(fid,[511 511],'real*8');
yg1(:,:,iface) = fread(fid,[511 511],'real*8');
dxv1(:,:,iface) = fread(fid,[511 511],'real*8');
dyu1(:,:,iface) = fread(fid,[511 511],'real*8');
raz1(:,:,iface) = fread(fid,[511 511],'real*8');
dxc1(:,:,iface) = fread(fid,[511 511],'real*8');
dyc1(:,:,iface) = fread(fid,[511 511],'real*8');
raw1(:,:,iface) = fread(fid,[511 511],'real*8');
ras1(:,:,iface) = fread(fid,[511 511],'real*8');
dxg1(:,:,iface) = fread(fid,[511 511],'real*8');
dyg1(:,:,iface) = fread(fid,[511 511],'real*8');
end
%
% Now output (approx 1 deg) grid
ratio = 5;
xc2 = zeros(103,103,6);
yc2 = zeros(103,103,6);
dxf2 = zeros(103,103,6);
dyf2 = zeros(103,103,6);
ra2 = zeros(103,103,6);
xg2 = zeros(103,103,6);
yg2 = zeros(103,103,6);
dxv2 = zeros(103,103,6);
dyu2 = zeros(103,103,6);
raz2 = zeros(103,103,6);
dxc2 = zeros(103,103,6);
dyc2 = zeros(103,103,6);
raw2 = zeros(103,103,6);
ras2 = zeros(103,103,6);
dxg2 = zeros(103,103,6);
anglecos2 = zeros(103,103,6);
anglesin2 = zeros(103,103,6);
dyg2 = zeros(103,103,6);
% Create left, x-center, bottom and y-center indeces into 510 grid
ileft=[1:5:510];
icent=ileft+2;
jbott=[1:5:510];
jcent=jbott+2;
% First do the interior of each face
for iface=1:6
% lats and lons
xc2(1:102,1:102,iface)=xc1(icent,jcent,iface);
yc2(1:102,1:102,iface)=yc1(icent,jcent,iface);
xg2(1:102,1:102,iface)=xg1(ileft,jbott,iface);
yg2(1:102,1:102,iface)=yg1(ileft,jbott,iface);
for ipnt=0:ratio-1
dxf2(1:102,1:102,iface)=dxf2(1:102,1:102,iface) + dxf1(ileft+ipnt,jcent,iface);
dxg2(1:102,1:102,iface)=dxg2(1:102,1:102,iface) + dxg1(ileft+ipnt,jbott,iface);
dxv2(2:102,1:102,iface)=dxv2(2:102,1:102,iface) + dxv1(icent(1:101)+ipnt+1,jbott(1:102),iface);
dxc2(2:102,1:102,iface)=dxc2(2:102,1:102,iface) + dxc1(icent(1:101)+ipnt+1,jcent(1:102),iface);
end
% dx's and dy's
for jpnt=0:ratio-1
dyf2(1:102,1:102,iface)=dyf2(1:102,1:102,iface) + dyf1(icent,jbott+jpnt,iface);
dyg2(1:102,1:102,iface)=dyg2(1:102,1:102,iface) + dyg1(ileft,jbott+jpnt,iface);
dyu2(1:102,2:102,iface)=dyu2(1:102,2:102,iface) + dyu1(ileft(1:102),jcent(1:101)+jpnt+1,iface);
dyc2(1:102,2:102,iface)=dyc2(1:102,2:102,iface) + dyc1(icent(1:102),jcent(1:101)+jpnt+1,iface);
end
% Construct values that we don't know yet - use grid symmetries for edge dx's and dy's
dxc2(1,1:102,iface)=dxc1(1,jcent(1:102),iface) + 2.*dxc1(2,jcent(1:102),iface) + 2.*dxc1(3,jcent(1:102),iface);
dxv2(1,1:102,iface)=dxv1(1,jbott(1:102),iface) + 2.*dxv1(2,jbott(1:102),iface) + 2.*dxv1(3,jbott(1:102),iface);
dyc2(1:102,1,iface)=dyc1(icent(1:102),1,iface) + 2.*dyc1(icent(1:102),2,iface) + 2.*dyc1(icent(1:102),3,iface);
dyu2(1:102,1,iface)=dyu1(ileft(1:102),1,iface) + 2.*dyu1(ileft(1:102),2,iface) + 2.*dyu1(ileft(1:102),3,iface);
% Areas
for ipnt=0:ratio-1
for jpnt=0:ratio-1
ra2(1:102,1:102,iface)=ra2(1:102,1:102,iface) + ra1(ileft+ipnt,jbott+jpnt,iface);
ras2(1:102,2:102,iface)=ras2(1:102,2:102,iface) + ras1(ileft(1:102)+ipnt,jcent(1:101)+jpnt+1,iface);
raw2(2:102,1:102,iface)=raw2(2:102,1:102,iface) + raw1(icent(1:101)+ipnt+1,jbott(1:102)+jpnt,iface);
raz2(2:102,2:102,iface)=raz2(2:102,2:102,iface) + raz1(icent(1:101)+ipnt+1,jcent(1:101)+jpnt+1,iface);
end
end
% Construct values that we don't know yet - use grid symmetries for edge areas
for ipnt=0:ratio-1
ras2(1:102,1,iface) = ras2(1:102,1,iface) + ...
       ras1(ileft(1:102)+ipnt,1,iface) + 2.*ras1(ileft(1:102)+ipnt,2,iface) + 2.*ras1(ileft(1:102)+ipnt,3,iface);
end
for jpnt=0:ratio-1
raw2(1,1:102,iface) = raw2(1,1:102,iface) + ...
       raw1(1,jbott(1:102)+jpnt,iface) + 2.*raw1(2,jbott(1:102)+jpnt,iface) + 2.*raw1(3,jbott(1:102)+jpnt,iface);
end
% Construct values that we don't know yet - vorticity point area, along face edges than at face corner
for jpnt=0:ratio-1
raz2(1,2:102,iface) = raz2(1,2:102,iface) + ...
       raz1(1,jcent(1:101)+jpnt+1,iface) + 2.*raz1(2,jcent(1:101)+jpnt+1,iface) + 2.*raz1(3,jcent(1:101)+jpnt+1,iface);
end
for ipnt=0:ratio-1
raz2(2:102,1,iface) = raz2(2:102,1,iface) + ...
       raz1(icent(1:101)+ipnt+1,1,iface) + 2.*raz1(icent(1:101)+1+ipnt,2,iface) + 2.*raz1(icent(1:101)+1+ipnt,3,iface);
end
raz2(1,1,iface) = sum(raz1(1:3,1,iface),1) + 2.*sum(raz1(1,2:3,iface),2) + ...
                                             3.*sum(raz1(2:3,3,iface),1) + sum(raz1(2:3,2,iface),1);
end
% Now the exchanges to fill up the extra column and row
% Exchange for lon and lat's at center and corners - no directions (xc is always xc)
xc2(1:102,103,[1 3 5])=xc2(1,102:-1:1,[3 5 1]);
xc2(103,1:102,[1 3 5])=xc2(1,1:102,[2 4 6]);
xc2(1:102,103,[2 4 6])=xc2(1:102,1,[3 5 1]);
xc2(103,1:102,[2 4 6])=xc2(102:-1:1,1,[4 6 2]);
xc2(103,103,[1 2 3 4 5 6])=xc2(1,1,[3 4 5 6 1 2]);
yc2(1:102,103,[1 3 5])=yc2(1,102:-1:1,[3 5 1]);
yc2(103,1:102,[1 3 5])=yc2(1,1:102,[2 4 6]);
yc2(1:102,103,[2 4 6])=yc2(1:102,1,[3 5 1]);
yc2(103,1:102,[2 4 6])=yc2(102:-1:1,1,[4 6 2]);
yc2(103,103,[1 2 3 4 5 6])=yc2(1,1,[3 4 5 6 1 2]);
xg2(1:102,103,[1 3 5])=xg2(1,102:-1:1,[3 5 1]);
xg2(103,1:102,[1 3 5])=xg2(1,1:102,[2 4 6]);
xg2(1:102,103,[2 4 6])=xg2(1:102,1,[3 5 1]);
xg2(103,1:102,[2 4 6])=xg2(102:-1:1,1,[4 6 2]);
xg2(103,103,[1 2 3 4 5 6])=xg2(1,1,[3 4 5 6 1 2]);
yg2(1:102,103,[1 3 5])=yg2(1,102:-1:1,[3 5 1]);
yg2(103,1:102,[1 3 5])=yg2(1,1:102,[2 4 6]);
yg2(1:102,103,[2 4 6])=yg2(1:102,1,[3 5 1]);
yg2(103,1:102,[2 4 6])=yg2(102:-1:1,1,[4 6 2]);
yg2(103,103,[1 2 3 4 5 6])=yg2(1,1,[3 4 5 6 1 2]);
% Exchange for areas at center - no directions
ra2(1:102,103,[1 3 5])=ra2(1,102:-1:1,[3 5 1]);
ra2(103,1:102,[1 3 5])=ra2(1,1:102,[2 4 6]);
ra2(1:102,103,[2 4 6])=ra2(1:102,1,[3 5 1]);
ra2(103,1:102,[2 4 6])=ra2(102:-1:1,1,[4 6 2]);
ra2(103,103,[1 2 3 4 5 6])=ra2(1,1,[3 4 5 6 1 2]);
% Exchange for areas at south and west edges - no directions
ras2(1:102,103,[1 3 5])=raw2(1,102:-1:1,[3 5 1]);
ras2(103,1:102,[1 3 5])=ras2(1,1:102,[2 4 6]);
ras2(1:102,103,[2 4 6])=ras2(1:102,1,[3 5 1]);
ras2(103,1:102,[2 4 6])=raw2(102:-1:1,1,[4 6 2]);
ras2(103,103,[1 2 3 4 5 6])=ras2(1,1,[3 4 5 6 1 2]);
raw2(1:102,103,[1 3 5])=ras2(1,102:-1:1,[3 5 1]);
raw2(103,1:102,[1 3 5])=raw2(1,1:102,[2 4 6]);
raw2(1:102,103,[2 4 6])=raw2(1:102,1,[3 5 1]);
raw2(103,1:102,[2 4 6])=ras2(102:-1:1,1,[4 6 2]);
raw2(103,103,[1 2 3 4 5 6])=raw2(1,1,[3 4 5 6 1 2]);
% Exchange for areas at vorticity points - no directions
% Special case: define upper edge assuming symmetry in y
%   Done because the edge values are ambiguously defined
%   for quantities defined on a corner
%%%%raz2(1:102,103,[1 3 5])=raz2(1,102:-1:1,[3 5 1]);
%%%%raz2(1:102,103,[2 4 6])=raz2(1:102,1,[3 5 1]);
%%%%raz2(103,1:102,[1 3 5])=raz2(1,1:102,[2 4 6]);
%%%%raz2(103,1:102,[2 4 6])=raz2(102:-1:1,1,[4 6 2]);
raz2(1:102,103,:)=raz2(1:102,1,:);
raz2(103,1:102,:)=raz2(1,1:102,:);
raz2(103,103,[1 2 3 4 5 6])=raz2(1,1,[3 4 5 6 1 2]);
%
% Exchange for dx's and dy's at center - direction but no sign (dx is sometimes from dy)
dxf2(1:102,103,[1 3 5])=dyf2(1,102:-1:1,[3 5 1]);
dxf2(103,1:102,[1 3 5])=dxf2(1,1:102,[2 4 6]);
dxf2(1:102,103,[2 4 6])=dxf2(1:102,1,[3 5 1]);
dxf2(103,1:102,[2 4 6])=dyf2(102:-1:1,1,[4 6 2]);
dxf2(103,103,[1 2 3 4 5 6])=dxf2(1,1,[3 4 5 6 1 2]);
dyf2(1:102,103,[1 3 5])=dxf2(1,102:-1:1,[3 5 1]);
dyf2(103,1:102,[1 3 5])=dyf2(1,1:102,[2 4 6]);
dyf2(1:102,103,[2 4 6])=dyf2(1:102,1,[3 5 1]);
dyf2(103,1:102,[2 4 6])=dxf2(102:-1:1,1,[4 6 2]);
dyf2(103,103,[1 2 3 4 5 6])=dyf2(1,1,[3 4 5 6 1 2]);
dxg2(1:102,103,[1 3 5])=dyg2(1,102:-1:1,[3 5 1]);
dxg2(103,1:102,[1 3 5])=dxg2(1,1:102,[2 4 6]);
dxg2(1:102,103,[2 4 6])=dxg2(1:102,1,[3 5 1]);
dxg2(103,1:102,[2 4 6])=dyg2(102:-1:1,1,[4 6 2]);
dxg2(103,103,[1 2 3 4 5 6])=dxg2(1,1,[3 4 5 6 1 2]);
dyg2(1:102,103,[1 3 5])=dxg2(1,102:-1:1,[3 5 1]);
dyg2(103,1:102,[1 3 5])=dyg2(1,1:102,[2 4 6]);
dyg2(1:102,103,[2 4 6])=dyg2(1:102,1,[3 5 1]);
dyg2(103,1:102,[2 4 6])=dxg2(102:-1:1,1,[4 6 2]);
dyg2(103,103,[1 2 3 4 5 6])=dyg2(1,1,[3 4 5 6 1 2]);
% Exchange for dx's and dy's at edges - direction but no sign (dx is sometimes from dy)
dxc2(1:102,103,[1 3 5])=dyc2(1,102:-1:1,[3 5 1]);
dxc2(103,1:102,[1 3 5])=dxc2(1,1:102,[2 4 6]);
dxc2(1:102,103,[2 4 6])=dxc2(1:102,1,[3 5 1]);
dxc2(103,1:102,[2 4 6])=dyc2(102:-1:1,1,[4 6 2]);
dxc2(103,103,[1 2 3 4 5 6])=dxc2(1,1,[3 4 5 6 1 2]);
dyc2(1:102,103,[1 3 5])=dxc2(1,102:-1:1,[3 5 1]);
dyc2(103,1:102,[1 3 5])=dyc2(1,1:102,[2 4 6]);
dyc2(1:102,103,[2 4 6])=dyc2(1:102,1,[3 5 1]);
dyc2(103,1:102,[2 4 6])=dxc2(102:-1:1,1,[4 6 2]);
dyc2(103,103,[1 2 3 4 5 6])=dyc2(1,1,[3 4 5 6 1 2]);
% Special case: define upper edge assuming symmetry in y
%   Done because the edge values are ambiguously defined
%   for quantities defined on a corner
%%%%dxv2(1:102,103,[1 3 5])=dyu2(1,102:-1:1,[3 5 1]);
%%%%dxv2(103,1:102,[1 3 5])=dxv2(1,1:102,[2 4 6]);
%%%%dxv2(1:102,103,[2 4 6])=dxv2(1:102,1,[3 5 1]);
%%%%dxv2(103,1:102,[2 4 6])=dyu2(102:-1:1,1,[4 6 2]);
%%%%dyu2(1:102,103,[1 3 5])=dxv2(1,102:-1:1,[3 5 1]);
%%%%dyu2(103,1:102,[1 3 5])=dyu2(1,1:102,[2 4 6]);
%%%%dyu2(1:102,103,[2 4 6])=dyu2(1:102,1,[3 5 1]);
%%%%dyu2(103,1:102,[2 4 6])=dxv2(102:-1:1,1,[4 6 2]);
dxv2(1:102,103,:)=dxv2(1:102,1,:);
dxv2(103,1:102,:)=dxv2(1,1:102,:);
dxv2(103,103,[1 2 3 4 5 6])=dxv2(1,1,[3 4 5 6 1 2]);
dyu2(1:102,103,:)=dyu2(1:102,1,:);
dyu2(103,1:102,:)=dyu2(1,1:102,:);
dyu2(103,103,[1 2 3 4 5 6])=dyu2(1,1,[3 4 5 6 1 2]);
%
% All done with grid values - now compute angles
ygarg1=reshape(permute(yg2(1:102,1:102,:),[1 3 2]),[612 102]);
racarg2=reshape(permute(ra2(1:102,1:102,:),[1 3 2]),[612 102]);
dxgarg3=reshape(permute(dxg2(1:102,1:102,:),[1 3 2]),[612 102]);
dygarg4=reshape(permute(dyg2(1:102,1:102,:),[1 3 2]),[612 102]);
[AngleCS,AngleSN] = cubeCalcAngle(ygarg1,racarg2,dxgarg3,dygarg4);
anglecos2(1:102,1:102,:)=permute(reshape(AngleCS,[102 6 102]),[1 3 2]);
anglesin2(1:102,1:102,:)=permute(reshape(AngleSN,[102 6 102]),[1 3 2]);
%
% And now write it all out
for iface=1:6
fid = fopen(['onedegcube.face00' num2str(iface) '.bin'],'w','b');
fwrite(fid,xc2(:,:,iface),'real*8');
fwrite(fid,yc2(:,:,iface),'real*8');
fwrite(fid,dxf2(:,:,iface),'real*8');
fwrite(fid,dyf2(:,:,iface),'real*8');
fwrite(fid,ra2(:,:,iface),'real*8');
fwrite(fid,xg2(:,:,iface),'real*8');
fwrite(fid,yg2(:,:,iface),'real*8');
fwrite(fid,dxv2(:,:,iface),'real*8');
fwrite(fid,dyu2(:,:,iface),'real*8');
fwrite(fid,raz2(:,:,iface),'real*8');
fwrite(fid,dxc2(:,:,iface),'real*8');
fwrite(fid,dyc2(:,:,iface),'real*8');
fwrite(fid,raw2(:,:,iface),'real*8');
fwrite(fid,ras2(:,:,iface),'real*8');
fwrite(fid,dxg2(:,:,iface),'real*8');
fwrite(fid,dyg2(:,:,iface),'real*8');
fwrite(fid,anglecos2(:,:,iface),'real*8');
fwrite(fid,anglesin2(:,:,iface),'real*8');
fclose(fid);
end