getshear2.m
author A.M. Thurnherr <athurnherr@yahoo.com>
Tue, 29 Jun 2021 09:14:43 -0400
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permissions -rw-r--r--
IX_14 Release Version
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function [ds,dr,ps,p]=getshear(d,p,ps,dr)
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%
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% - compute shear profiles 
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% - use only central difference
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% - use 2*std editing
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% 
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%  Martin Visbeck, LDEO, 3/7/97
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% resolution of final shear profile in meter
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idz=ps.dz;
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disp(['GETSHEAR2: average shear profile over (ps.dz) ',num2str(idz),' [m]'])
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% average over how much percent of the data
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ps=setdefv(ps,'shear_stdf',2);
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stdf=ps.shear_stdf;
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disp([' maximum std (stdf) ',num2str(stdf),' of data '])
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if nargin<4, dr.dummy=0; end
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% check if only one istrument is to be used
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if ps.up_dn_looker==2
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 % down looker only
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 d.weight(d.izu,:)=nan;
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elseif ps.up_dn_looker==3
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 % up looker only
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 d.weight(d.izd,:)=nan;
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end
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% weightmin
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ps=setdefv(ps,'shear_weightmin',0.1);
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disp([' minimum weight  ',num2str(ps.shear_weightmin),' of data '])
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is1=sum(sum(isfinite(d.weight)));
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w=double(d.weight>ps.shear_weightmin);
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ii=find(w==0);
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w(ii)=NaN;
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is2=sum(sum(isfinite(w)));
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disp([' will use ',int2str(is2/is1*100),' % of data '])
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% compute central shear
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 % disp([' compute central diff shear '])
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 iiok=1:length(d.z);
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 us=[NaN*d.ru(1,iiok);diff2(d.ru(:,iiok))./diff2(d.izm);NaN*d.ru(1,iiok)].*w;
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 vs=[NaN*d.rv(1,iiok);diff2(d.rv(:,iiok))./diff2(d.izm);NaN*d.rv(1,iiok)].*w;
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 ws=[NaN*d.rw(1,iiok);diff2(d.rw(:,iiok))./diff2(d.izm);NaN*d.rw(1,iiok)].*w;
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% loop over final depth profile
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if existf(dr,'z')==1
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 z=dr.z;
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else
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 izmax=-min(d.z);
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 izmax=-maxnan(-[izmax,p.zbottom]);
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 z=idz*0.5:idz:izmax;
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end
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ds.usm=zeros(length(z),1)*NaN;
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ds.vsm=ds.usm;
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ds.wsm=ds.usm;
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ds.use=ds.usm;
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ds.vse=ds.usm;
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ds.wse=ds.usm;
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ds.nn=ds.usm;
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ds.z=ds.usm;
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il=length(z);
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iv=0;
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%disp([' average shear estimates '])
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for in=1:il
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 i=z(in);
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 iv =iv+1;
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 % up and down
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 i2=find(abs(-d.izm-i-idz/2) <= idz);
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 i1=i2(find(isfinite(us(i2)+vs(i2))));
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 ds.nn(iv)=length(i1);
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 if ds.nn(iv) > 2
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  usmm=median(us(i1)');
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  ussd1=std(us(i1));
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  ii=i1(find(abs(us(i1)-usmm)<stdf*ussd1)); 
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  if length(ii)>1
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   ds.usm(iv)=mean(us(ii));
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   ds.use(iv)=std(us(ii));
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  end
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  vsmm=median(vs(i1)');
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  vssd1=std(vs(i1));
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  ii=i1(find(abs(vs(i1)-vsmm)<stdf*vssd1)); 
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  if length(ii)>1
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   ds.vsm(iv)=mean(vs(ii));
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   ds.vse(iv)=std(vs(ii));
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  end
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  wsmm=median(ws(i1)');
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  wssd1=std(ws(i1));
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  ii=i1(find(abs(ws(i1)-wsmm)<stdf*wssd1)); 
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  if length(ii)>1
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   ds.wsm(iv)=mean(ws(ii));
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   ds.wse(iv)=std(ws(ii));
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  end
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%  if exist('test')==1
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%    hist(vs(ii),[-1:0.05:1]*.2e-1)
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%    title(['z = ',num2str(z(iv))])
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%    pause(0.01)
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%  end
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 end
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% save depth vector
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  ds.z(iv)=i;
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% end of shear loop
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end
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% integrate shear profile (from bottom up)
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ii=find(isnan(ds.usm));
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ds.usm(ii)=0;
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ii=find(isnan(ds.vsm));
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ds.vsm(ii)=0;
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ii=find(isnan(ds.wsm));
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ds.wsm(ii)=0;
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ds.ur=flipud(cumsum(flipud(ds.usm)))*idz;
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ds.vr=flipud(cumsum(flipud(ds.vsm)))*idz;
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ds.wr=flipud(cumsum(flipud(ds.wsm)))*idz;
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ds.ur=ds.ur-mean(ds.ur);
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ds.vr=ds.vr-mean(ds.vr);
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ds.wr=ds.wr-mean(ds.wr);
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if existf(d,'down')==1
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 dz=2*abs(mean(diff(d.zd)));
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 fac=1/tan(d.down.Beam_angle*pi/180)*sqrt(2)*dz;
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 ds.ensemble_vel_err=ds.wse*fac;
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 dr.ensemble_vel_err=ds.wse*fac;
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end
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if nargin>3
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 dr.u_shear_method=ds.ur;
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 dr.v_shear_method=ds.vr;
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 dr.w_shear_method=ds.wr;
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 uds=stdnan(dr.u-mean(dr.u)-ds.ur);
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 vds=stdnan(dr.v-mean(dr.v)-ds.vr);
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 uvds=sqrt(uds.^2+vds.^2);
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 if uvds>meannan(dr.uerr)
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  warn=(' increased error because of shear - inverse difference');
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  disp(warn)
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  if uvds>1.5*meannan(dr.uerr) & uvds>0.1
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   p.warn(size(p.warn,1)+1,1:length(warn))=warn;
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  end
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  dr.uerr=dr.uerr/meannan(dr.uerr)*uvds/1.5;
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 end
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end
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%--------------------------------------------------
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function x = diff2(x,k,dn)
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%DIFF2   Difference function.  If X is a vector [x(1) x(2) ... x(n)],
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%       then DIFF(X) returns a vector of central differences between
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%       elements [x(3)-x(1)  x(4)-x(2) ... x(n)-x(n-2)].  If X is a
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%	matrix, the differences are calculated down each column:
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%       DIFF(X) = X(3:n,:) - X(1:n-2,:).
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%	DIFF(X,n) is the n'th difference function.
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%	J.N. Little 8-30-85
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%	Copyright (c) 1985, 1986 by the MathWorks, Inc.
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if nargin < 2,	k = 1; end
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if nargin < 3,	dn = 2; end
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for i=1:k
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	[m,n] = size(x);
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	if m == 1
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                x = x(1+dn:n) - x(1:n-dn);
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	else
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                x = x(1+dn:m,:) - x(1:m-dn,:);
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	end
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end
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