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gforget |
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%function: netcdf_ecco_GenericgridMatFirstStep |
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%object: compute the additional information to use an "ECCO format" data set with a non latlon grid |
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%author: Gael Forget (gforget@mit.edu) |
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%date: June 12th, 2007 |
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% |
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%inputs: |
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% - an "ECCO format" data set and grid files (profilesXCincl1PointOverlap* etc) |
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% that the model should generate when you first try to run pkg/profiles |
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% with a non latlon grid |
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% - directories for I/O |
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% - lat_polar (see below) |
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%output: mat files that are then fed to netcdf_ecco_GenericgridMat2Nc (step 2) |
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% |
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%lat_polar: positive value smaller than 90 |
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% [in Cube Sphere/Polar Cap case] |
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% lat_polar should be set to the latitude beyond which lies the cube polar tiles (all of the tile grid points) |
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% -> there we start by project coordinates on the polar tangent plane because the lat/lon system collapes at the pole |
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% -> we refer to this operation as "polar switch" below |
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% [in other grids that do not include the poles] |
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% set it to 85 |
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% |
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%rk: below you will find a parameter [choice_plot] do do some display |
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% |
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function []=netcdf_ecco_GenericgridMatFirstStep_4points(file_data,rep_data,rep_grid,rep_out,lat_polar); |
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warning off MATLAB:mir_warning_variable_used_as_function; |
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fprintf('\n WARNING from netcdf_ecco_GenericgridMatFirstStep.m : \n'); |
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fprintf('please have a look at netcdf_ecco_GenericgridNOTEONOVERLAPCORNERS \n\n'); |
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%choice to do some visual chek or not |
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choice_plot=0; if choice_plot==1; figure; end; fprintf('visualization off \n\n'); |
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%longitude systems: 1 <-> degree east from Greenwich [0 360] // 2 <-> degree east and west [-180 180] |
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lonSystModel=2; |
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if lonSystModel==1; fprintf('the script below assumes [-180 +180] longitudes => please do not change \n'); return; end |
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%-> both model and observations will first be switched to this system |
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eval(['ncload ' rep_data file_data ' prof_lon prof_lat;']); |
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%set the longitude system for observations: |
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[prof_lon]=netcdf_ecco_GenericgridRotateLon(prof_lon,0,0,lonSystModel); |
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prof_lonM2=prof_lon; prof_latM2=prof_lat; |
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list_subsets=[1:4]; |
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for subset_cur=list_subsets |
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switch subset_cur |
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case 1 |
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switch_to_polar=0; |
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list_profilesM2=find((prof_lonM2>=-90&prof_lonM2<90)&abs(prof_latM2)<lat_polar); |
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suff_cur='latlon1'; fprintf('computing mid latitudes, part 1 \n'); |
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case 2 |
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switch_to_polar=0; |
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list_profilesM2=find((prof_lonM2<-90|prof_lonM2>=90)&abs(prof_latM2)<lat_polar); |
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suff_cur='latlon2'; fprintf('computing mid latitudes, part 2 \n'); |
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case 3 |
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switch_to_polar=1; |
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list_profilesM2=find(prof_latM2>=switch_to_polar*lat_polar); |
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suff_cur='northpole'; fprintf('computing high latitude, northern hemisphere \n'); |
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case 4 |
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switch_to_polar=-1; |
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list_profilesM2=find(prof_latM2<=switch_to_polar*lat_polar); |
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suff_cur='southpole'; fprintf('computing high latitude, southern hemisphere \n'); |
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end |
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prof_lonM1=prof_lonM2(list_profilesM2); prof_latM1=prof_latM2(list_profilesM2); |
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%do the "polar switch" for the data |
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[prof_lonM1,prof_latM1]=netcdf_ecco_GenericgridPolarPlaneCoords(prof_lonM1,prof_latM1,switch_to_polar); |
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eval(['files_list=ls('' -1 ' rep_grid 'profilesXC*.data '');']); |
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tmp1=files_list; tmp2=strfind(files_list,rep_grid)+length(rep_grid); |
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tmp3=strfind(files_list,'.data')+4; |
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files_list=''; |
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for tmp4=1:length(tmp2); |
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files_list=strvcat(files_list, tmp1(tmp2(tmp4):tmp3(tmp4)) ); |
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end |
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for tcur=1:size(files_list,1) |
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prof_interp_XC11=NaN*zeros(length(prof_lonM2),1); prof_interp_YC11=prof_interp_XC11; |
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prof_interp_XCNINJ=prof_interp_XC11; prof_interp_YCNINJ=prof_interp_XC11; |
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prof_interp_i=NaN*zeros(length(prof_lonM2),4); prof_interp_j=prof_interp_i; prof_interp_weights=prof_interp_i; |
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prof_interp_lon=prof_interp_i; prof_interp_lat=prof_interp_i; |
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file_cur=deblank(files_list(tcur,:)); |
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tmp3=strfind(file_cur,'.'); |
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ni=str2num(file_cur(tmp3(end-2)+1:tmp3(end-1)-1)); |
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nj=str2num(file_cur(tmp3(end-1)+1:tmp3(end)-1)); |
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fid=fopen([rep_grid file_cur],'r','b'); XC_cur=fread(fid,[ni+2 nj+2],'float64'); fclose(fid); |
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tmp3=strfind(file_cur,'XC'); file_cur(tmp3)='Y'; |
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fid=fopen([rep_grid file_cur],'r','b'); YC_cur=fread(fid,[ni+2 nj+2],'float64'); fclose(fid); |
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XC_ref=XC_cur; YC_ref=YC_cur; |
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%set the longitude system for model: |
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[XC_cur(:)]=netcdf_ecco_GenericgridRotateLon(XC_cur(:),0,0,lonSystModel); |
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%tests to avoid bug particualr cases (test1&test2) and useless loops |
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%------------------------------------------------------------------- |
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%test1=1; if we are to do "polar switch", only tiles that have grid points in the "polar region" can be relevant! |
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test1=1; if switch_to_polar~=0; test1=~isempty(find(( YC_cur(:)-switch_to_polar*(lat_polar-10) )*switch_to_polar > 0)); end; |
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%test2: if no switch_to_polar do not address the polar tiles (the ones that go though all latitudes) |
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test2=1; if switch_to_polar==0; test2=isempty(find(XC_cur(:)>175))|isempty(find(XC_cur(:)<-175))|isempty(find(abs(XC_cur(:))<5)); end; |
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%alternative: |
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% test2=1; if switch_to_polar==0; test2=isempty(find(abs(XC_cur(:)+135)<30))|isempty(find(abs(XC_cur(:)+45)<30))|... |
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% isempty(find(abs(XC_cur(:)-135)<30))|isempty(find(abs(XC_cur(:)-45)<30)); end; |
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%test3: if no data don't bother! |
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test3=~isempty(list_profilesM2); |
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%fprintf([num2str([subset_cur tcur test1 test2 test3]) '\n']); |
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%%%%%%%%%%%%%%%%%%%% |
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if test1&test2&test3 |
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%%%%%%%%%%%%%%%%%%%% |
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if choice_plot==1; subplot(2,1,1); plot(XC_cur(:),YC_cur(:),'yx'); hold on; plot(XC_cur(1,1),YC_cur(1,1),'b.'); plot(XC_cur(end,1),YC_cur(end,1),'m.'); |
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tmp_lonM1=prof_lonM2(list_profilesM2); tmp_latM1=prof_latM2(list_profilesM2); plot(tmp_lonM1,tmp_latM1,'go'); axis([-180 180 -90 90]); end; |
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if switch_to_polar~=0; |
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%switch to polar plane coordinates |
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tmp1=find(( YC_cur(:)-switch_to_polar*(lat_polar-10) )*switch_to_polar <= 0); XC_cur(tmp1)=NaN; YC_cur(tmp1)=NaN; |
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[XC_cur,YC_cur]=netcdf_ecco_GenericgridPolarPlaneCoords(XC_cur,YC_cur,switch_to_polar); |
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[XC_cur,YC_cur]=netcdf_ecco_GenericgridFixFieldsOverlapCorners(XC_cur,YC_cur); |
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else |
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lon0global=0; |
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if ~isempty(find(abs(XC_cur(:))>175)); lon0tile=180; else; lon0tile=0; end; |
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%alternative: lon0tile=mean(XC_cur(:)); |
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prof_lonM1ref=prof_lonM1; |
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%do the "model flip" for the data ... or not |
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[prof_lonM1]=netcdf_ecco_GenericgridRotateLon(prof_lonM1,lon0global,lon0tile,lonSystModel); |
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%do the "model flip" for the model ... or not |
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[XC_cur]=netcdf_ecco_GenericgridRotateLon(XC_cur,lon0global,lon0tile,lonSystModel); |
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[XC_cur,YC_cur]=netcdf_ecco_GenericgridFixFieldsOverlapCorners(XC_cur,YC_cur); |
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end |
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if choice_plot==1; subplot(2,1,2); plot(XC_cur(:),YC_cur(:),'yx'); hold on; plot(XC_cur(1,1),YC_cur(1,1),'b.'); plot(XC_cur(end,1),YC_cur(end,1),'m.'); |
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plot(prof_lonM1,prof_latM1,'go'); if ~switch_to_polar; axis([-180 180 -90 90]); else; axis([-90 90 -90 90]); end; end; |
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x0=zeros((ni+1)*(nj+1),4); y0=x0; i0=x0; j0=x0; |
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tmp_count=0; |
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for icur=1:ni+1; for jcur=1:nj+1; |
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tmp_count=tmp_count+1; |
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x0(tmp_count,:)=[XC_cur(icur,jcur) XC_cur(icur+1,jcur) XC_cur(icur+1,jcur+1) XC_cur(icur,jcur+1)]; |
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y0(tmp_count,:)=[YC_cur(icur,jcur) YC_cur(icur+1,jcur) YC_cur(icur+1,jcur+1) YC_cur(icur,jcur+1)]; |
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i0(tmp_count,:)=[icur icur+1 icur+1 icur]; j0(tmp_count,:)=[jcur jcur jcur+1 jcur+1]; |
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end; end; |
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tmp1=find(~isnan(sum(x0,2))); |
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x0=x0(tmp1,:); y0=y0(tmp1,:); i0=i0(tmp1,:); j0=j0(tmp1,:); |
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%first step: restrict our attention to profiles that are within the area |
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%----------- |
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%will work in any case when |
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% 1) the cell is non polar, so we do not cross the longitude limit |
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% or |
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% 2) we use polar coordinates, which is well defined, for both model and data |
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%=> if this is not the case: I have put some NaNs in XC_cur |
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if isempty(find(isnan(XC_cur))) |
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x00=[XC_cur(:,1)' XC_cur(end,2:end-1) flipdim(XC_cur(:,end)',2) XC_cur(1,end-1:-1:2)]; |
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y00=[YC_cur(:,1)' YC_cur(end,2:end-1) flipdim(YC_cur(:,end)',2) YC_cur(1,end-1:-1:2)]; |
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list_profilesM1=zeros(size(prof_lonM1)); |
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length_div=1e3; |
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num_div=ceil(length(prof_lonM1)/length_div); |
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for cur_div=1:num_div |
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list_profiles0=[(cur_div-1)*length_div+1:min(cur_div*length_div,length(prof_lonM1))]; |
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[tmp1]=netcdf_ecco_GenericgridLocateCell(x00,y00,prof_lonM1(list_profiles0),prof_latM1(list_profiles0)); |
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list_profilesM1(list_profiles0(find(tmp1>0)))=1; |
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end |
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list_profilesM1=find(list_profilesM1>0); |
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prof_lon=prof_lonM1(list_profilesM1); prof_lat=prof_latM1(list_profilesM1); |
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else |
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list_profilesM1=[1:length(prof_lonM1)]'; prof_lon=prof_lonM1; prof_lat=prof_latM1; |
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end |
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%second step: the main computation |
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%--------------------------------- |
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if ~isempty(list_profilesM1) |
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length_div=1e2; |
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num_div=ceil(length(prof_lon)/length_div); |
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for cur_div=1:num_div |
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list_profiles0=[(cur_div-1)*length_div+1:min(cur_div*length_div,length(prof_lon))]; |
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%if mod(cur_div,20)==1; |
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%tmp1=length(find(~isnan(prof_interp_i(:,1)))); tmp2=length(prof_lon); |
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%fprintf([num2str(tcur) ' -- ' num2str(list_profiles0(1)) ' / ' num2str(length(prof_lon)) ' -- ' num2str(tmp1) '\n']); |
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%end |
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[list_profiles2]=netcdf_ecco_GenericgridLocateCell(x0,y0,prof_lon(list_profiles0),prof_lat(list_profiles0)); |
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[coeffs2]=netcdf_ecco_GenericgridCoeffs_4points(x0,y0,prof_lon(list_profiles0),prof_lat(list_profiles0)); |
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list_profiles3=find(sum(list_profiles2,2)>0); |
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for kkcur=1:length(list_profiles3) |
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%index in small data vector: |
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kcur0=list_profiles3(kkcur); |
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%more than one 1 can happen when close to cell edges; we pick the first; |
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tmp1=find(list_profiles2(kcur0,:)>0); tmp1=tmp1(1); |
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tmp2=squeeze(coeffs2(kcur0,tmp1,:)); %NOT PRACTICAL tmp3=find(tmp2>0); |
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%index in the full data vector: |
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kcur=list_profilesM2(list_profilesM1(list_profiles0(kcur0))); |
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%fill arrays: |
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prof_interp_XC11(kcur)=XC_ref(2,2); prof_interp_YC11(kcur)=YC_ref(2,2); |
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prof_interp_XCNINJ(kcur)=XC_ref(end-1,end-1); prof_interp_YCNINJ(kcur)=YC_ref(end-1,end-1); |
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prof_interp_i(kcur,:)=i0(tmp1,:)-1; |
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prof_interp_j(kcur,:)=j0(tmp1,:)-1; |
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prof_interp_weights(kcur,:)=tmp2(:); |
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end |
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end%for cur_div=1:num_div |
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end%if ~isempty(list_profilesM1) |
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if switch_to_polar==0; |
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%undo the "model flip" for the data |
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[prof_lonM1]=netcdf_ecco_GenericgridRotateLon(prof_lonM1,lon0tile,lon0global,lonSystModel); %needed for computation |
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[XC_cur]=netcdf_ecco_GenericgridRotateLon(XC_cur,lon0tile,lon0global,lonSystModel); %needed for plot only |
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% if ~isempty(find(mod(prof_lonM1,360)~=mod(prof_lonM1ref,360))); |
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% fprintf('pb due to change in longitudes => stop \n'); return; |
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% end |
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end |
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if choice_plot==1; tmp1=find(~isnan(prof_interp_i(:,1))); |
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tmp_i=prof_interp_i(tmp1,1); tmp_j=prof_interp_j(tmp1,1); tmp2=(tmp_j+1-1)*(ni+2)+(tmp_i+1); plot(XC_cur(tmp2),YC_cur(tmp2),'ro'); |
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% tmp_i=prof_interp_i(tmp1,2); tmp_j=prof_interp_j(tmp1,2); tmp2=(tmp_j+1-1)*(ni+2)+(tmp_i+1); plot(XC_cur(tmp2),YC_cur(tmp2),'bo'); |
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if ~switch_to_polar; |
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plot(prof_lonM2(tmp1),prof_latM2(tmp1),'k.'); |
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else; |
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tmp_x=prof_lonM2(tmp1); tmp_y=prof_latM2(tmp1); |
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[tmp_x,tmp_y]=netcdf_ecco_GenericgridPolarPlaneCoords(tmp_x,tmp_y,switch_to_polar); plot(tmp_x,tmp_y,'k.'); |
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end; |
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pause(2); clf; |
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end; |
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%third step : we do not use overlap corner points in interpolation |
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%----------- |
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% |
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gforget |
1.2 |
%1) rare case when algorithm has collapsed on overlap corners: |
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gforget |
1.1 |
tmp1=find(~isnan(prof_interp_XC11)&round(sum(prof_interp_weights,2)*1e6)*1e-6~=1); |
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gforget |
1.2 |
%1.1) rarest case: two points in overlap corner => mask profile |
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gforget |
1.1 |
tmp2=( (prof_interp_i(tmp1,:)==0&prof_interp_j(tmp1,:)==0)|( prof_interp_i(tmp1,:)==0&prof_interp_j(tmp1,:)==nj+1 )|... |
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|
|
( prof_interp_i(tmp1,:)==ni+1&prof_interp_j(tmp1,:)==0 )|( prof_interp_i(tmp1,:)==ni+1&prof_interp_j(tmp1,:)==nj+1 )); |
| 262 |
gforget |
1.2 |
if ~isempty(find(sum(tmp2,2)~=1)); |
| 263 |
|
|
%fprintf('this is unexpected!! \n'); return; |
| 264 |
|
|
fprintf([num2str(length(tmp2)) ' masked due to overlap corner issue \n']); |
| 265 |
|
|
tmp11=tmp1(find(sum(tmp2,2)~=1)); |
| 266 |
|
|
prof_interp_XC11(tmp11)=NaN; prof_interp_YC11(tmp11)=NaN; |
| 267 |
|
|
prof_interp_XCNINJ(tmp11)=NaN; prof_interp_YCNINJ(tmp11)=NaN; |
| 268 |
|
|
prof_interp_i(tmp11,:)=NaN; prof_interp_j(tmp11,:)=NaN; |
| 269 |
|
|
prof_interp_lon(tmp11,:)=NaN; prof_interp_lat(tmp11,:)=NaN; |
| 270 |
|
|
prof_interp_weights(tmp11,:)=NaN; |
| 271 |
|
|
%reset tmp1 to handle the other points |
| 272 |
|
|
tmp1=find(~isnan(prof_interp_XC11)&round(sum(prof_interp_weights,2)*1e6)*1e-6~=1); |
| 273 |
|
|
tmp2=( (prof_interp_i(tmp1,:)==0&prof_interp_j(tmp1,:)==0)|( prof_interp_i(tmp1,:)==0&prof_interp_j(tmp1,:)==nj+1 )|... |
| 274 |
|
|
( prof_interp_i(tmp1,:)==ni+1&prof_interp_j(tmp1,:)==0 )|( prof_interp_i(tmp1,:)==ni+1&prof_interp_j(tmp1,:)==nj+1 )); |
| 275 |
|
|
end |
| 276 |
|
|
%1.2) one point in overlap corner => equally weighted average of the three neighbors |
| 277 |
gforget |
1.1 |
tmp3=prof_interp_weights(tmp1,:); tmp3(find(tmp2==0))=1/3; tmp3(find(tmp2==1))=0; |
| 278 |
|
|
prof_interp_weights(tmp1,:)=tmp3; |
| 279 |
gforget |
1.2 |
%2) normal behaviour => distribute equally the corner weight to the three neighbors |
| 280 |
gforget |
1.1 |
tmp1=find(~isnan(prof_interp_XC11)); |
| 281 |
|
|
tmp2=( (prof_interp_i(tmp1,:)==0&prof_interp_j(tmp1,:)==0)|( prof_interp_i(tmp1,:)==0&prof_interp_j(tmp1,:)==nj+1 )|... |
| 282 |
|
|
( prof_interp_i(tmp1,:)==ni+1&prof_interp_j(tmp1,:)==0 )|( prof_interp_i(tmp1,:)==ni+1&prof_interp_j(tmp1,:)==nj+1 )); |
| 283 |
|
|
tmp3=find(sum(tmp2,2)==1); tmp1=tmp1(tmp3); tmp2=tmp2(tmp3,:); |
| 284 |
|
|
tmp3=prof_interp_weights(tmp1,:); |
| 285 |
|
|
if ~isempty(find(tmp2.*tmp3~=0)); fprintf('o'); |
| 286 |
|
|
tmp3=tmp3+1/3*sum(tmp3.*tmp2,2)*ones(1,4); tmp3(find(tmp2==1))=0; |
| 287 |
|
|
prof_interp_weights(tmp1,:)=tmp3; |
| 288 |
|
|
end |
| 289 |
|
|
|
| 290 |
|
|
%fourth step: store the lon/lat of the interpolation points for checks |
| 291 |
|
|
%------------ |
| 292 |
|
|
tmp1=find(~isnan(prof_interp_i)); |
| 293 |
|
|
tmp2=(ni+2)*prof_interp_j(tmp1)+prof_interp_i(tmp1)+1; |
| 294 |
|
|
%rk: the computation of the previous line accounts for the fact that i/j go from 0 to ni+1/nj+1 |
| 295 |
|
|
prof_interp_lon(tmp1)=XC_ref(tmp2); prof_interp_lat(tmp1)=YC_ref(tmp2); |
| 296 |
|
|
|
| 297 |
gforget |
1.2 |
|
| 298 |
gforget |
1.1 |
%fifth step: save in .mat file |
| 299 |
|
|
%------------------------------ |
| 300 |
|
|
tmp1=findstr(file_data,'.nc'); |
| 301 |
|
|
eval(['save ' rep_out file_data(1:tmp1(end)-1) '_4mygrid.' suff_cur '.' num2str(tcur) '.mat prof_interp_*;']); |
| 302 |
|
|
|
| 303 |
|
|
%%%%%%%%%%%%%%%%%%%%%%%% |
| 304 |
|
|
end%if test1&test2&test3 |
| 305 |
|
|
%%%%%%%%%%%%%%%%%%%%%%%% |
| 306 |
|
|
|
| 307 |
|
|
end%for tcur=... |
| 308 |
|
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|
| 309 |
|
|
end%for subset_cur=1:3 |
| 310 |
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| 311 |
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