tide_pred

 TIDE_PRED predicts tidal currents for time t from TIDE_FIT output
 TIDE_PRED(t,ell) predicts tidal currents for the time t 
 based on the ellipse output from TIDE_ELL. 

 [ucoef,unew]=tide_fit(jd,uv,periods,goplot)
          ell=tide_ell(ucoef,periods)      
      [up,vp]=tide_pred(t,ell)

 where 
      t = julian day vector to be predicted
     up(:,n) = predicted u component for periods(n)
     vp(:,n) = predicted v component for periods(n)

0001   function [up,vp]=tide_pred(t,ell)
0002 % TIDE_PRED predicts tidal currents for time t from TIDE_FIT output
0003 % TIDE_PRED(t,ell) predicts tidal currents for the time t
0004 % based on the ellipse output from TIDE_ELL.
0005 %
0006 % [ucoef,unew]=tide_fit(jd,uv,periods,goplot)
0007 %          ell=tide_ell(ucoef,periods)
0008 %      [up,vp]=tide_pred(t,ell)
0009 %
0010 % where
0011 %      t = julian day vector to be predicted
0012 %     up(:,n) = predicted u component for periods(n)
0013 %     vp(:,n) = predicted v component for periods(n)
0014 
0015 % Neglects mean in prediction. Uses same time origin as TIDE_FIT.
0016 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0017 % 5/20/98:
0018 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0019 
0020 periods=ell(:,1);
0021 freq=(2.*pi)*ones(size(periods))./periods; % cph
0022 nfreq=length(freq);
0023 
0024 t=t(:);
0025 tt=t*24; % convert to hours from origin
0026 nt=length(tt);
0027 
0028 umaj=ell(:,2);
0029 umin=ell(:,3);
0030 deg2rad=pi./180;
0031 inc=deg2rad.*ell(:,4);
0032 phase=deg2rad.*ell(:,5);
0033 
0034 up=zeros(nt,nfreq);vp=up;
0035 ur=zeros(nt,1);vr=ur;
0036 
0037 for nf=1:nfreq
0038    ur=umaj(nf).*cos(freq(nf).*tt - phase(nf));
0039    vr=umin(nf).*sin(freq(nf).*tt - phase(nf));
0040    up(:,nf)=cos(inc(nf)).*ur - sin(inc(nf)).*vr;
0041    vp(:,nf)=sin(inc(nf)).*ur + cos(inc(nf)).*vr;
0042 end
0043 
0044 % compute and plot sum as check
0045 upsum=(sum(up'))';
0046 vpsum=(sum(vp'))';
0047 
0048 plot(t,upsum,t,vpsum,'r')
0049 pause