Mercurial > repos > public > sbplib
view diracDiscr.m @ 647:46c40711830f feature/d1_staggered
Add test for diracDiscr.m
author | Martin Almquist <malmquist@stanford.edu> |
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date | Tue, 14 Nov 2017 15:35:28 -0800 |
parents | 0990765e3e4d |
children | 9e5dd0d3cf60 |
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function ret = diracDiscr(x_0in , x , m_order, s_order, H) fnorm = diag(H); eta = abs(x-x_0in); h = x(2)-x(1); tot = m_order+s_order; S = []; M = []; poss = find(tot*h/2 >= eta); % Ensure that poss is not too long if length(poss) == (tot + 2) poss = poss(2:end-1); elseif length(poss) == (tot + 1) poss = poss(1:end-1); end % Use first tot grid points if length(poss)<tot && eta(end)>eta(1) index=1:tot; pol=(x(1:tot)-x(1))/(x(tot)-x(1)); x_0=(x_0in-x(1))/(x(tot)-x(1)); norm=fnorm(1:tot)/h; % Use last tot grid points elseif length(poss)<tot && eta(end)<eta(1) index = length(x)-tot:tot; pol = (x(end-tot:end)-x(end-tot))/(x(end)-x(end-tot)); norm = fnorm(end-tot:end)/h; x_0 = (x_0in-x(end-tot))/(x(end)-x(end-tot)); % Interior else pol = (x(poss)-x(poss(1)))/(x(poss(end))-x(poss(1))); x_0 = (x_0in-x(poss(1)))/(x(poss(end))-x(poss(1))); norm = fnorm(poss)/h; index = poss; end h_pol = pol(2)-pol(1); b = zeros(m_order+s_order,1); for i = 1:m_order b(i,1) = x_0^(i-1); end for i = 1:(m_order+s_order) for j = 1:m_order M(j,i) = pol(i)^(j-1)*h_pol*norm(i); end end for i = 1:(m_order+s_order) for j = 1:s_order S(j,i) = (-1)^(i-1)*pol(i)^(j-1); end end A = [M;S]; d = A\b; ret = x*0; ret(index) = d/h*h_pol; end