1 |
function [u6t,v6t] = split_UV_cub(u3d,v3d,ksign,kad) |
2 |
% [u6t,v6t] = split_UV_cub(u3d,v3d,[ksign,kad]) |
3 |
%--------------------------------------------- |
4 |
% split 2d/3d arrays u,v to 3d x 6 faces, and: |
5 |
% (kad=1): add 1 column to U and one row to V |
6 |
% => output is u6t(nc+1,nc,[nr],6) & v6t(nc,nc+1,[nr],6) |
7 |
% (kad=2): add 1 column + 2 rows to U and 2 columns + 1 row to V |
8 |
% => output is u6t(nc+1,nc+2,[nr],6) & v6t(nc+2,nc+1,[nr],6) |
9 |
%---------------------------------------------- |
10 |
% $Header: /u/gcmpack/MITgcm/utils/cs_grid/split_UV_cub.m,v 1.2 2005/09/06 17:47:43 jmc Exp $ |
11 |
% $Name: $ |
12 |
|
13 |
if nargin < 3 , ksign = 0; end |
14 |
if nargin < 4 , kad = 1; end |
15 |
% ksign = 0 ==> no sign ; ksign = 1 ==> change the sign where needed |
16 |
% ==> in fact, used only if kad=2 |
17 |
plmn = 1 - 2*ksign ; |
18 |
|
19 |
dims=size(u3d); |
20 |
if dims(1) ~= 6*dims(2), |
21 |
fprintf(' ERROR in split_UV_cub: 1rst array has the wrong shape !\n'); |
22 |
fprintf(' dimensions:'); fprintf(' %i',dims); fprintf(' ; => STOP\n'); |
23 |
u6t=0; v6t=0; return; |
24 |
end |
25 |
dims=size(v3d); nDim=length(dims); |
26 |
%fprintf(' nDim= %i , dims:',nDim);fprintf(' %i',dims);fprintf('\n'); |
27 |
if dims(1) ~= 6*dims(2), |
28 |
fprintf(' ERROR in split_UV_cub: 2nd array has the wrong shape !\n'); |
29 |
fprintf(' dimensions:'); fprintf(' %i',dims); fprintf(' ; => STOP\n'); |
30 |
u6t=0; v6t=0; return; |
31 |
end |
32 |
nx=dims(1); nc=dims(2); ncp=nc+1; n2p=nc+2; |
33 |
if nDim == 2, nr=1; else nr=prod(dims(3:end)); end |
34 |
%u3d=reshape(u3d,[nx nc nr]); |
35 |
%v3d=reshape(v3d,[nx nc nr]); |
36 |
|
37 |
%================================================================= |
38 |
|
39 |
u3d=reshape(u3d,[nc 6 nc nr]); |
40 |
v3d=reshape(v3d,[nc 6 nc nr]); |
41 |
u3d=permute(u3d,[1 3 4 2]); |
42 |
v3d=permute(v3d,[1 3 4 2]); |
43 |
|
44 |
if kad == 0, |
45 |
%- split on to 6 faces with no overlap: |
46 |
dims(1)=nc; |
47 |
u6t=u3d; |
48 |
v6t=v3d; |
49 |
|
50 |
elseif kad == 1, |
51 |
|
52 |
dims(1)=ncp; |
53 |
%- split on to 6 faces with overlap in i+1 for u and j+1 for v : |
54 |
u6t=zeros(ncp,nc,nr,6); |
55 |
v6t=zeros(nc,ncp,nr,6); |
56 |
u6t([1:nc],:,:,:)=u3d(:,:,:,:); |
57 |
v6t(:,[1:nc],:,:)=v3d(:,:,:,:); |
58 |
|
59 |
u6t(ncp,[1:nc],:,1)=u3d(1,[1:nc],:,2); |
60 |
u6t(ncp,[1:nc],:,2)=v3d([nc:-1:1],1,:,4); |
61 |
u6t(ncp,[1:nc],:,3)=u3d(1,[1:nc],:,4); |
62 |
u6t(ncp,[1:nc],:,4)=v3d([nc:-1:1],1,:,6); |
63 |
u6t(ncp,[1:nc],:,5)=u3d(1,[1:nc],:,6); |
64 |
u6t(ncp,[1:nc],:,6)=v3d([nc:-1:1],1,:,2); |
65 |
|
66 |
v6t([1:nc],ncp,:,1)=u3d(1,[nc:-1:1],:,3); |
67 |
v6t([1:nc],ncp,:,2)=v3d([1:nc],1,:,3); |
68 |
v6t([1:nc],ncp,:,3)=u3d(1,[nc:-1:1],:,5); |
69 |
v6t([1:nc],ncp,:,4)=v3d([1:nc],1,:,5); |
70 |
v6t([1:nc],ncp,:,5)=u3d(1,[nc:-1:1],:,1); |
71 |
v6t([1:nc],ncp,:,6)=v3d([1:nc],1,:,1); |
72 |
|
73 |
elseif kad == 2, |
74 |
|
75 |
dims(1)=ncp; |
76 |
dims(2)=n2p; |
77 |
%- split on to 6 faces: |
78 |
u6t=zeros(ncp,n2p,nr,6); |
79 |
v6t=zeros(n2p,ncp,nr,6); |
80 |
u6t([1:nc],[2:ncp],:,:)=u3d(:,:,:,:); |
81 |
v6t([2:ncp],[1:nc],:,:)=v3d(:,:,:,:); |
82 |
|
83 |
%- add overlap in i=nc+1 for u and j=nc+1 for v : |
84 |
u6t(ncp,[2:ncp],:,1)=u3d(1,[1:nc],:,2); |
85 |
u6t(ncp,[2:ncp],:,2)=v3d([nc:-1:1],1,:,4); |
86 |
u6t(ncp,[2:ncp],:,3)=u3d(1,[1:nc],:,4); |
87 |
u6t(ncp,[2:ncp],:,4)=v3d([nc:-1:1],1,:,6); |
88 |
u6t(ncp,[2:ncp],:,5)=u3d(1,[1:nc],:,6); |
89 |
u6t(ncp,[2:ncp],:,6)=v3d([nc:-1:1],1,:,2); |
90 |
|
91 |
v6t([2:ncp],ncp,:,1)=u3d(1,[nc:-1:1],:,3); |
92 |
v6t([2:ncp],ncp,:,2)=v3d([1:nc],1,:,3); |
93 |
v6t([2:ncp],ncp,:,3)=u3d(1,[nc:-1:1],:,5); |
94 |
v6t([2:ncp],ncp,:,4)=v3d([1:nc],1,:,5); |
95 |
v6t([2:ncp],ncp,:,5)=u3d(1,[nc:-1:1],:,1); |
96 |
v6t([2:ncp],ncp,:,6)=v3d([1:nc],1,:,1); |
97 |
|
98 |
%- add overlap in j=0,nc+1 for u and i=0,nc+1 for v : |
99 |
u6t([1:ncp], 1 ,:,1)=u6t([1:ncp],ncp,:,6); |
100 |
u6t([1:ncp],n2p,:,1)=v6t( 2 ,[ncp:-1:1],:,3)*plmn; |
101 |
u6t([1:ncp], 1 ,:,3)=u6t([1:ncp],ncp,:,2); |
102 |
u6t([1:ncp],n2p,:,3)=v6t( 2 ,[ncp:-1:1],:,5)*plmn; |
103 |
u6t([1:ncp], 1 ,:,5)=u6t([1:ncp],ncp,:,4); |
104 |
u6t([1:ncp],n2p,:,5)=v6t( 2 ,[ncp:-1:1],:,1)*plmn; |
105 |
|
106 |
u6t([1:ncp], 1 ,:,2)=v6t(ncp,[ncp:-1:1],:,6)*plmn; |
107 |
u6t([1:ncp],n2p,:,2)=u6t([1:ncp], 2 ,:,3); |
108 |
u6t([1:ncp], 1 ,:,4)=v6t(ncp,[ncp:-1:1],:,2)*plmn; |
109 |
u6t([1:ncp],n2p,:,4)=u6t([1:ncp], 2 ,:,5); |
110 |
u6t([1:ncp], 1 ,:,6)=v6t(ncp,[ncp:-1:1],:,4)*plmn; |
111 |
u6t([1:ncp],n2p,:,6)=u6t([1:ncp], 2 ,:,1); |
112 |
|
113 |
v6t( 1 ,[1:ncp],:,1)=u6t([ncp:-1:1],ncp,:,5)*plmn; |
114 |
v6t(n2p,[1:ncp],:,1)=v6t( 2 ,[1:ncp],:,2); |
115 |
v6t( 1 ,[1:ncp],:,3)=u6t([ncp:-1:1],ncp,:,1)*plmn; |
116 |
v6t(n2p,[1:ncp],:,3)=v6t( 2 ,[1:ncp],:,4); |
117 |
v6t( 1 ,[1:ncp],:,5)=u6t([ncp:-1:1],ncp,:,3)*plmn; |
118 |
v6t(n2p,[1:ncp],:,5)=v6t( 2 ,[1:ncp],:,6); |
119 |
|
120 |
v6t( 1 ,[1:ncp],:,2)=v6t(ncp,[1:ncp],:,1); |
121 |
v6t(n2p,[1:ncp],:,2)=u6t([ncp:-1:1], 2 ,:,4)*plmn; |
122 |
v6t( 1 ,[1:ncp],:,4)=v6t(ncp,[1:ncp],:,3); |
123 |
v6t(n2p,[1:ncp],:,4)=u6t([ncp:-1:1], 2 ,:,6)*plmn; |
124 |
v6t( 1 ,[1:ncp],:,6)=v6t(ncp,[1:ncp],:,5); |
125 |
v6t(n2p,[1:ncp],:,6)=u6t([ncp:-1:1], 2 ,:,2)*plmn; |
126 |
|
127 |
end |
128 |
|
129 |
%- restaure the right shape: |
130 |
if nDim == 2, |
131 |
u6t=squeeze(u6t); |
132 |
v6t=squeeze(v6t); |
133 |
else |
134 |
u6t=reshape(u6t,[dims 6]); |
135 |
v6t=reshape(v6t,[dims(2) dims(1) dims(3:end) 6]); |
136 |
end |
137 |
|
138 |
return |