📄 vint2vave.m
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function vave=vint2vave(vint,t,tout)
% VINT2VAVE: convert interval velocity to average
%
% vave=vint2vave(vint,t,tout)
% vave=vint2vave(vint,t)
%
% VINS2VAVE computes average velocity as a function of time
% given interval velocity as a function of time.
%
% vint = input interval velocity vector
% t = input time vecot to go with vint
% tout = vector of output times at which vave estimates are
% desired. Requirement tout >= t(1)
%*********** default tout=t *********
%
%
% G.F. Margrave June 1995, CREWES Project
%
% NOTE: It is illegal for you to use this software for a purpose other
% than non-profit education or research UNLESS you are employed by a CREWES
% Project sponsor. By using this software, you are agreeing to the terms
% detailed in this software's Matlab source file.
% BEGIN TERMS OF USE LICENSE
%
% This SOFTWARE is maintained by the CREWES Project at the Department
% of Geology and Geophysics of the University of Calgary, Calgary,
% Alberta, Canada. The copyright and ownership is jointly held by
% its author (identified above) and the CREWES Project. The CREWES
% project may be contacted via email at: crewesinfo@crewes.org
%
% The term 'SOFTWARE' refers to the Matlab source code, translations to
% any other computer language, or object code
%
% Terms of use of this SOFTWARE
%
% 1) Use of this SOFTWARE by any for-profit commercial organization is
% expressly forbidden unless said organization is a CREWES Project
% Sponsor.
%
% 2) A CREWES Project sponsor may use this SOFTWARE under the terms of the
% CREWES Project Sponsorship agreement.
%
% 3) A student or employee of a non-profit educational institution may
% use this SOFTWARE subject to the following terms and conditions:
% - this SOFTWARE is for teaching or research purposes only.
% - this SOFTWARE may be distributed to other students or researchers
% provided that these license terms are included.
% - reselling the SOFTWARE, or including it or any portion of it, in any
% software that will be resold is expressly forbidden.
% - transfering the SOFTWARE in any form to a commercial firm or any
% other for-profit organization is expressly forbidden.
%
% END TERMS OF USE LICENSE
%test input arguments
if(length(vint)~=length(t))
error('vint and t must have same lengths')
end
%force column vectors
vint=vint(:);
t=t(:);
if(nargin < 3)
%integrate vint
dt=diff(t);
vave=zeros(size(vint));
nt=length(t);
i1=1:nt-1;
vave(i1)=cumsum(dt.*vint(i1));
vave(i1)=vave(i1)./(t(i1+1)-t(1));
vave(end)=vave(end-1);
vave=vave(:); %return a column vector
else
tout=tout(:);
ind=find(tout<t(1));
if(~isempty(ind))
error('tout must be greater than t(1)');
end
dt=diff(t);
vave2=zeros(size(vint));
nt=length(t);
i1=1:nt-1;
vave2(i1)=cumsum(dt.*vint(i1));
vave2(i1)=vave2(i1)./(t(i1+1)-t(1));
vave2(end)=vave2(end-1);
vave=pwlint(t,vave2,tout);
vave=vave(:); %return a column vector;
end
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