midpoitt.m

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%function midpoitt%MIDPOITT Unit test for the function MIDPOINT.%	O. Lemoine - February 1996.N=256;k=2; c=1;t1=.5*ones(1,N); nu1=ones(1,N); t0=t1-c;nu=(2:N+1);% Localization on a power-law group-delaytg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 1 failed');end % Same thing for other values of k and ck=1; c=1/2; t0=t1-c;tg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 2 failed');end % Same thing for other values of k and ck=1/2; c=10; t0=t1-c;tg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 3 failed');end % Same thing for other values of k and ck=0; c=-3; t0=t1-c;tg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 4 failed');end % Same thing for other values of k and ck=5; c=25; t0=t1-c;tg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 5 failed');end N=235;k=2; c=1;t1=.5*ones(1,N); nu1=ones(1,N); t0=t1-c;nu=(2:N+1);% Localization on a power-law group-delaytg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 6 failed');end % Same thing for other values of k and ck=1; c=1/2; t0=t1-c;tg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 7 failed');end % Same thing for other values of k and ck=1/2; c=10; t0=t1-c;tg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 8 failed');end % Same thing for other values of k and ck=0; c=-3; t0=t1-c;tg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 9 failed');end % Same thing for other values of k and ck=5; c=25; t0=t1-c;tg=t0+c*nu.^(k-1);[ti,nui]=midpoint(t1,nu1,tg,nu,k);d=ti-(t0+c*nui.^(k-1));if abs(sum(d))>sqrt(eps), error('midpoint test 10 failed');end 

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