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gforget |
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function [fld]=gcmfaces_remap_2d(lon,lat,fld,nDblRes,varargin); |
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%object: use bin average to remap ONE lat-lon grid FIELD to a gcmfaces grid |
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%input: lon,lat,fld are the gridded product arrays |
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% nDblRes is the number of times the input field |
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% resolution should be doubled before bin average. |
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%optional: mskExtrap is the mask to which to extrapolate after bin average |
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% If it is not specified we do no extrapolation |
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%note: nDblRes>0 is useful if the starting resolution is coarse |
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% enough that the bin average would leave many empty points. |
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%assumption:fld should show NaN for missing values |
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global mygrid; |
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if nargin>4; mskExtrap=varargin{1}; else; mskExtrap=[]; end; |
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%refine grid before bin average: |
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for ii=1:nDblRes; |
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[lon,lat,fld]=dbl_res(lon,lat,fld,ii); |
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end; |
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%put in vector form: |
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tmp1=find(~isnan(fld)); |
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lon=lon(tmp1); lat=lat(tmp1); fld=fld(tmp1); |
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%switch longitude range to -180+180 |
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lon(find(lon>180))=lon(find(lon>180))-360; |
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%compute bin average: |
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fld=gcmfaces_bindata(lon,lat,fld); |
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%potential extrapolation: |
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if ~isempty(mskExtrap); fld=diffsmooth2D_extrap_inv(fld,mskExtrap); end; |
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%apply surface land mask: |
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fld=fld.*mygrid.mskC(:,:,1); |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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function [lonOut,latOut,obsOut]=dbl_res(lon,lat,obs,extendNaN); |
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%object: use neighbor average to double the fields resolution |
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%inputs: lon,lat,fld are the gridded product arrays, with |
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% NaN for missing values in fld. |
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% extendNaN states whether between a real and a NaN |
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% we add a NaN (extendNaN==1) or a real (extendNaN~=1) |
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%outputs: lonOut,latOut,fldOut are the x2 resolution arrays |
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% |
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%assumptions: 0-360 longitudes and a consistent ordering of arrays |
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%check longitude range: |
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if ~isempty(find(lon(:)<0))|~isempty(find(lon(:)>360)); fprintf('problem in longitude specs\n'); return; end; |
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%check simple ordering: |
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tmp1=diff(lon(:,1)); if ~isempty(find(tmp1<=0)); fprintf('problem in longitude specs\n'); return; end; |
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%make sure that we are >=0 and <360: |
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if lon(1,1)>0&lon(end,1)==360; lon=[lon(end,:)-360;lon(1:end-1,:)]; |
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lat=[lat(end,:);lat(1:end-1,:)]; obs=[obs(end,:);obs(1:end-1,:)]; end; |
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%make sure that the last point is not duplicated: |
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if lon(1,1)==0&lon(end,1)==360; lon=lon(1:end-1,:); |
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lat=lat(1:end-1,:); obs=obs(1:end-1,:); end; |
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%what do we do with last longitude points: |
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if lon(1,1)>0&lon(end,1)<360; |
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addOnePt=1; %add point at the beginning |
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else; |
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addOnePt=2; %add point at the end |
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end; |
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for ii=1:3; |
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%0) get field |
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if ii==1; tmpA=lon; |
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elseif ii==2; tmpA=lat; |
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elseif ii==3; tmpA=obs; |
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end; |
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%1) zonal direction: |
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tmpB=nanmean2flds(tmpA(1:end-1,:),tmpA(2:end,:),extendNaN); |
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tmpC=ones(size(tmpA,1)*2-1,size(tmpA,2)); |
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tmpC(1:2:end,:)=tmpA; |
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tmpC(2:2:end-1,:)=tmpB; |
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%treat zonal edge of the domain |
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if addOnePt==1; %add one point at the beginning |
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if ii==1; offset=-360; else; offset=0; end; |
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tmpB=nanmean2flds(tmpA(1,:),offset+tmpA(end,:),extendNaN); tmpC=[tmpB;tmpC]; |
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end; |
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if addOnePt==2; %add one point at the end |
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if ii==1; offset=360; else; offset=0; end; |
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tmpB=nanmean2flds(offset+tmpA(1,:),tmpA(end,:),extendNaN); tmpC=[tmpC;tmpB]; |
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end; |
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%check that we did not go too far (should not happen) |
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if ii==1; tmp1=~isempty(find(lon(:)<0))|~isempty(find(lon(:)>360)); |
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if tmp1; fprintf('problem in longitude interp\n'); return; end; |
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end; |
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%2) meridional direction: |
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tmpB=nanmean2flds(tmpC(:,1:end-1),tmpC(:,2:end),extendNaN); |
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tmpA=ones(size(tmpC,1),size(tmpC,2)*2-1); |
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tmpA(:,1:2:end)=tmpC; |
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tmpA(:,2:2:end-1)=tmpB; |
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%3) store field: |
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if ii==1; lonOut=tmpA; |
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elseif ii==2; latOut=tmpA; |
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elseif ii==3; obsOut=tmpA; |
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end; |
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end; |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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function [fld]=nanmean2flds(fld1,fld2,extendNaN); |
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%object: compute the average of two fields, accounting for NaNs |
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%inputs: fld1 and fld2 are the two fields |
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% if extendNaN==1 the result is NaN if either fld1 or fld2 is NaN. |
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% Otherwise the result is real if either fld1 or fld2 is real. |
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if extendNaN==1; |
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fld=(fld1+fld2)/2; |
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else; |
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msk1=~isnan(fld1); fld1(isnan(fld1))=0; |
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msk2=~isnan(fld2); fld2(isnan(fld2))=0; |
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fld=fld1+fld2; |
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msk=msk1+msk2; |
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msk(msk==0)=NaN; |
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fld=fld./msk; |
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end; |
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