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plot_exp_rcerr.m
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function plot_exp_rcerr()
clear all
vareps = [1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1]; % u2.u, u3.u
depths = [2, 5, 8];
n_d = size(depths, 2);
n_eps = size(vareps, 2);
%% P64
load("results/rcerr_err_list1.mat");
load("results/rcerr_err_list_amp1.mat");
load("results/rcerr_err_bound_list1.mat");
rect = [0.5, 0, 0, 0.05];
fontSize = 18;
lineWidth = 2;
markerSize = 15;
figure()
set(gcf, 'Position', [10 10 800 600])
semilogy(1:n_eps, err_list(:, 1), '-b', 'Marker', 'o', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_list_amp(:, 1),'--r', 'Marker', '*', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_bound_list(:, 1),':k', 'Marker', '.', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
[l, s] = title('$\ell$=2');
set(l,'interpreter','latex');
set(gca,'XTick',1:n_eps, 'XTickLabel', split(num2str(vareps,'%.e ')), 'fontsize',fontSize) % ,'FontWeight','bold'
l.FontSize = fontSize+12;
ylim([0, max(err_bound_list,[],"all")+10]);
yticks([1e-11, 1e-8, 1e-5, 1e-2, 1e+1]);
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
grid on;
exportgraphics(gca, 'figures/P64_depth1.pdf')
hold off
figure()
set(gcf, 'Position', [10 10 800 600])
semilogy(1:n_eps, err_list(:, 2), '-b', 'Marker', 'o', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_list_amp(:, 2),'--r', 'Marker', '*', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_bound_list(:, 2),':k', 'Marker', '.', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
[l, s] = title('$\ell$=5');
set(l,'interpreter','latex');
set(gca,'XTick',1:n_eps, 'XTickLabel', split(num2str(vareps,'%.e ')), 'fontsize',fontSize) % ,'FontWeight','bold'
l.FontSize = fontSize+12;
ylim([0, max(err_bound_list,[],"all")+10]);
yticks([1e-11, 1e-8, 1e-5, 1e-2, 1e+1]);
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
grid on;
exportgraphics(gca, 'figures/P64_depth2.pdf')
hold off
figure()
set(gcf, 'Position', [10 10 800 600])
semilogy(1:n_eps, err_list(:, 3), '-b', 'Marker', 'o', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_list_amp(:, 3),'--r', 'Marker', '*', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_bound_list(:, 3),':k', 'Marker', '.', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
[l, s] = title('$\ell$=8');
set(l,'interpreter','latex');
set(gca,'XTick',1:n_eps, 'XTickLabel', split(num2str(vareps,'%.e ')), 'fontsize',fontSize) % ,'FontWeight','bold'
l.FontSize = fontSize+12;
ylim([0, max(err_bound_list,[],"all")+10]);
yticks([1e-11, 1e-8, 1e-5, 1e-2, 1e+1]);
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
grid on;
exportgraphics(gca, 'figures/P64_depth3.pdf')
hold off
% delete(gcf)
% delete(gca)
% ex37
load("results/rcerr_err_list2.mat");
load("results/rcerr_err_list_amp2.mat");
load("results/rcerr_err_bound_list2.mat");
rect = [0.5, 0, 0, 0.05];
fontSize = 18;
lineWidth = 2;
markerSize = 15;
figure()
set(gcf, 'Position', [10 10 800 600])
semilogy(1:n_eps, err_list(:, 1), '-b', 'Marker', 'o', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_list_amp(:, 1),'--r', 'Marker', '*', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_bound_list(:, 1),':k', 'Marker', '.', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
[l, s] = title('$\ell$=2');
set(l,'interpreter','latex');
set(gca,'XTick',1:n_eps, 'XTickLabel', split(num2str(vareps,'%.e ')), 'fontsize',fontSize) % ,'FontWeight','bold'
l.FontSize = fontSize+12;
ylim([0, max(err_bound_list,[],"all")+10]);
yticks([1e-11, 1e-8, 1e-5, 1e-2, 1e+1]);
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
grid on;
exportgraphics(gca, 'figures/ex37_depth1.pdf')
hold off
figure()
set(gcf, 'Position', [10 10 800 600])
semilogy(1:n_eps, err_list(:, 2), '-b', 'Marker', 'o', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_list_amp(:, 2),'--r', 'Marker', '*', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_bound_list(:, 2),':k', 'Marker', '.', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
[l, s] = title('$\ell$=5');
set(l,'interpreter','latex');
set(gca,'XTick',1:n_eps, 'XTickLabel', split(num2str(vareps,'%.e ')), 'fontsize',fontSize) % ,'FontWeight','bold'
l.FontSize = fontSize+12;
ylim([0, max(err_bound_list,[],"all")+10]);
yticks([1e-11, 1e-8, 1e-5, 1e-2, 1e+1]);
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
grid on;
exportgraphics(gca, 'figures/ex37_depth2.pdf')
hold off
figure()
set(gcf, 'Position', [10 10 800 600])
semilogy(1:n_eps, err_list(:, 3), '-b', 'Marker', 'o', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_list_amp(:, 3),'--r', 'Marker', '*', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_bound_list(:, 3),':k', 'Marker', '.', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
[l, s] = title('$\ell$=8');
set(l,'interpreter','latex');
set(gca,'XTick',1:n_eps, 'XTickLabel', split(num2str(vareps,'%.e ')), 'fontsize',fontSize) % ,'FontWeight','bold'
l.FontSize = fontSize+12;
ylim([0, max(err_bound_list,[],"all")+10]);
yticks([1e-11, 1e-8, 1e-5, 1e-2, 1e+1]);
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
grid on;
exportgraphics(gca, 'figures/ex37_depth3.pdf')
hold off
% delete(gcf)
% delete(gca)
% saylr3
load("results/rcerr_err_list3.mat");
load("results/rcerr_err_list_amp3.mat");
load("results/rcerr_err_bound_list3.mat");
rect = [0.5, 0, 0, 0.05];
fontSize = 18;
lineWidth = 2;
markerSize = 15;
figure()
set(gcf, 'Position', [10 10 800 600])
semilogy(1:n_eps, err_list(:, 1), '-b', 'Marker', 'o', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_list_amp(:, 1),'--r', 'Marker', '*', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_bound_list(:, 1),':k', 'Marker', '.', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
[l, s] = title('$\ell$=2');
set(l,'interpreter','latex');
set(gca,'XTick',1:n_eps, 'XTickLabel', split(num2str(vareps,'%.e ')), 'fontsize',fontSize) % ,'FontWeight','bold'
l.FontSize = fontSize+12;
ylim([0, max(err_bound_list,[],"all")+10]);
yticks([1e-11, 1e-8, 1e-5, 1e-2, 1e+1]);
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
grid on;
exportgraphics(gca, 'figures/saylr3_depth1.pdf')
hold off
figure()
set(gcf, 'Position', [10 10 800 600])
semilogy(1:n_eps, err_list(:, 2), '-b', 'Marker', 'o', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_list_amp(:, 2),'--r', 'Marker', '*', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_bound_list(:, 2),':k', 'Marker', '.', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
[l, s] = title('$\ell$=5');
set(l,'interpreter','latex');
set(gca,'XTick',1:n_eps, 'XTickLabel', split(num2str(vareps,'%.e ')), 'fontsize',fontSize) % ,'FontWeight','bold'
l.FontSize = fontSize+12;
ylim([0, max(err_bound_list,[],"all")+10]);
yticks([1e-11, 1e-8, 1e-5, 1e-2, 1e+1]);
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
grid on;
exportgraphics(gca, 'figures/saylr3_depth2.pdf')
hold off
figure()
set(gcf, 'Position', [10 10 800 600])
semilogy(1:n_eps, err_list(:, 3), '-b', 'Marker', 'o', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_list_amp(:, 3),'--r', 'Marker', '*', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
hold on
semilogy(1:n_eps, err_bound_list(:, 3),':k', 'Marker', '.', 'MarkerSize',markerSize, 'Linewidth',lineWidth)
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
[l, s] = title('$\ell$=8');
set(l,'interpreter','latex');
set(gca,'XTick',1:n_eps, 'XTickLabel', split(num2str(vareps,'%.e ')), 'fontsize',fontSize) % ,'FontWeight','bold'
l.FontSize = fontSize+12;
ylim([0, max(err_bound_list,[],"all")+10]);
yticks([1e-11, 1e-8, 1e-5, 1e-2, 1e+1]);
legend('fp64', ...
'adaptive precision', ...
'error bound', 'Position', rect, 'NumColumns',3, 'FontSize', fontSize+5)
legend boxoff
grid on;
exportgraphics(gca, 'figures/saylr3_depth3.pdf')
hold off
end