📄 trapez.m
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function q = trapez(x,y,a,b)% trapez : Trapezoidal integration%Syntax: q = trapez(x,y,{a,b}) or q = trapez(y)%% Computes the integral value of y(x) between limits a and b by trapezoidal rule.% Author: EF <manuf@ldv.univ-montp2.fr>% Description: trapezoidal integration% Written by: Duane Hanselman, University of Maine, (207)-581-2246% revised by E.Farhi.if (nargin <1) error('q = trapez(x,y,{a,b}) or q = trapez(y)')endif (nargin == 1) y = x; x = 1:length(y);endx = x(:); y = y(:); % make sure x and y are row vectorsly = length(y);lx = length(x);if (lx ~= ly) error(' x and y must be the same length')endif (nargin <=2 ) a=x(1); b=x(lx);endq=find( (x>=a) & (x<=b) );x=x(q);y=y(q);ly = length(y);q = ( [0 y] + [y 0] ) / 2 .* ( [x 0] - [0 x] );q = sum( q(2:ly) );
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