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gforget |
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function [xh,yh,zh,varargout]=MITprof_pdf(x,xBinCenters,y,yBinCenters,varargin); |
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%input: |
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% x/y position vectors or 2D arrays |
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% xBinCenters position bin centers |
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% yBinCenters position bin centers |
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% choiceStat [optional] type of statistic (pdf, hist, sum, mean, or var) |
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% z [optional] data vector or 2D array |
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% |
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%note: all inputs are assumed to have be nan-masked accordingly |
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% |
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%output: |
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% xh/yh are the position arrays for the historgam bin centers |
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% zh is the 2D histogram |
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warning('off','MATLAB:dsearch:DeprecatedFunction'); |
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if nargin>4; choiceStat=varargin{1}; else; choiceStat='pdf'; end; |
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if nargin>5; z=varargin{2}; else; z=[]; end; |
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%take care of input dimensions: |
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if size(x,1)==1; x=x'; end; if size(y,1)==1; y=y'; end; |
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% |
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if size(y,2)==1; %x is array => make sure y is so |
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if size(x,2)==size(y,1); |
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y=ones(size(x,1),1)*y'; |
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else; |
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y=y*ones(1,size(x,2)); |
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end; |
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end; |
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% |
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if size(x,2)==1; %y is array => make sure x is so |
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if size(y,2)==size(x,1); |
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x=ones(size(y,1),1)*x'; |
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else; |
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x=x*ones(1,size(y,2)); |
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end; |
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end; |
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% |
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if size(z,2)>1;%z is array => make sure x/y are so |
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if size(x,2)==1&size(x,1)==size(z,1); x=x*ones(1,size(z,2)); end; |
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if size(x,2)==1&size(x,1)==size(z,2); x=ones(size(z,1),1)*x'; end; |
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% |
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if size(y,2)==1&size(y,1)==size(z,1); y=y*ones(1,size(z,2)); end; |
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if size(y,2)==1&size(y,1)==size(z,2); y=ones(size(z,1),1)*y'; end; |
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end; |
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if isempty(z); z=NaN*x; end;%to facilitate vector length tests |
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%switch to vector form: |
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x=x(:); y=y(:); z=z(:); |
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%check vectors length: |
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if length(x)~=length(y)|length(x)~=length(z)|length(y)~=length(z); |
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error('inconsistent diemnsions of [x,y[,z]]'); |
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end; |
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%prepare output arrays: |
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if size(xBinCenters,1)==1; xh=xBinCenters'; else; xh=xBinCenters; end; |
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if size(yBinCenters,1)==1; yh=yBinCenters'; else; yh=yBinCenters; end; |
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if size(xh,2)>1|size(yh,2)>1; error('inconsistent diemnsions of [xBinCenters yBinCenters]'); end; |
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xh=xh*ones(1,size(yh,1)); |
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yh=ones(size(xh,1),1)*yh'; |
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%build the histogram |
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TRI=delaunay(xh,yh); nxy = prod(size(xh)); |
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Stri=sparse(TRI(:,[1 1 2 2 3 3]),TRI(:,[2 3 1 3 1 2]),1,nxy,nxy); |
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%compute grid point vector associated with lon/lat vectors |
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if nargin>5; ii=find(~isnan(x.*y.*z)); else; ii=find(~isnan(x.*y)); end; |
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x=x(ii); y=y(ii); z=z(ii); |
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ik=dsearch(xh,yh,TRI,x,y,Stri); |
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%compute bin sums: |
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nh=zeros(size(xh)); if nargin>5; zh=nh; zh2=zh; end; |
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for k=1:length(ik) |
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nh(ik(k))=nh(ik(k))+1; |
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if nargin>5; |
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zh(ik(k))=zh(ik(k))+z(k); |
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zh2(ik(k))=zh2(ik(k))+z(k)^2; |
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end; |
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end % k=1:length(ik) |
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ii=find(nh(:)==0); nh(ii)=NaN; |
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if nargin>5; zh(ii)=NaN; zh2(ii)=NaN; end; |
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%compute output: |
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if strcmp(choiceStat,'pdf'); %hist + normalization along second dimension |
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zh=nh; zh(isnan(zh))=0; |
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%normalize by total number of samples |
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zh=zh./(nansum(zh,2)*ones(1,size(zh,2))); |
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%normalize by delta(yh) => pdf |
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tmp2=diff(yh,1,2); |
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tmp2=0.5*(tmp2(:,1:end-1)+tmp2(:,2:end)); |
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tmp2=[tmp2(:,1) tmp2 tmp2(:,end)]; |
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zh=zh./tmp2; |
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elseif strcmp(choiceStat,'hist'); |
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zh=nh; |
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elseif strcmp(choiceStat,'sum'); |
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zh=zh; |
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elseif strcmp(choiceStat,'mean'); |
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zh=zh./nh; |
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elseif strcmp(choiceStat,'var'); |
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zh=zh2./nh-(zh./nh).^2; |
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end; |
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if nargout>3; |
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varargout{1}=nh; |
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else; |
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varargout={}; |
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end; |
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%for debugging purposes: |
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if 0; figure; pcolor(xh,yh,zh); colorbar; end; |
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warning('on','MATLAB:dsearch:DeprecatedFunction'); |
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