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plot_exp_lu.m
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plot_exp_lu.m
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function plot_exp_lu()
vareps = [1e-14, 1e-12, 1e-10, 1e-08, 1e-06, 1e-04, 1e-02];
n_eps = size(vareps, 2);
lineWidth = 2;
markerSize = 15;
%% matrix 1
load("results/lu1_1.mat");
load("results/lu1_2.mat");
load("results/lu1_3.mat");
load("results/lu1_1_bound.mat");
load("results/lu1_2_bound.mat");
load("results/lu1_3_bound.mat");
fontSize = 19;
%% plot 1
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 1),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 1),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 1),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 1),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=2');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-16, 1e4]);
yticks([ 1e-16, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu1_d2.pdf')
hold off
%% plot 2
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 2),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 2),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 2),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 2),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=5');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-16, 1e4]);
yticks([ 1e-16, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu1_d5.pdf')
hold off
%% plot 3
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 3),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 3),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 3),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 3),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=8');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-16, 1e4]);
yticks([ 1e-16, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu1_d8.pdf')
hold off
% ---------------------------------------------------------------------------------
%% matrix 2
load("results/lu2_depth2.mat");
load("results/lu2_depth5.mat");
load("results/lu2_depth8.mat");
fontSize = 19;
%% plot 1
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 1),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 1),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 1),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 1),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=2');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-15, 1e4]);
yticks([ 1e-15, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu2_d2.pdf')
hold off
%% plot 2
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 2),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 2),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 2),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 2),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=5');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-15, 1e4]);
yticks([ 1e-15, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu2_d5.pdf')
hold off
%% plot 3
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 3),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 3),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 3),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 3),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=8');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-15, 1e4]);
yticks([ 1e-15, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu2_d8.pdf')
hold off
% -----------------------------------------------------
%% matrix 3
load("results/lu3_depth2.mat");
load("results/lu3_depth5.mat");
load("results/lu3_depth8.mat");
fontSize = 19;
%% plot 1
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 1),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 1),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 1),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 1),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=2');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-16, 1e4]);
yticks([ 1e-16, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu3_d2.pdf')
hold off
%% plot 2
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 2),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 2),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 2),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 2),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=5');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-16, 1e4]);
yticks([ 1e-16, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu3_d5.pdf')
hold off
%% plot 3
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 3),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 3),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 3),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 3),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=8');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-16, 1e4]);
yticks([ 1e-16, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu3_d8.pdf')
hold off
% ---------------------------------------------------------------------------------
%% matrix 4
load("results/lu4_depth2.mat");
load("results/lu4_depth5.mat");
load("results/lu4_depth8.mat");
fontSize = 19;
%% plot 1
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 1),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 1),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 1),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 1),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=2');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-15, 1e4]);
yticks([ 1e-15, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu4_d2.pdf')
hold off
%% plot 2
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 2),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 2),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 2),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 2),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=5');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-15, 1e4]);
yticks([ 1e-15, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu4_d5.pdf')
hold off
%% plot 3
figure()
set(gcf, 'Position', [10 10 800 650]);
h = gobjects(6, 1);
h(1) = semilogy(1:n_eps, err_back_list1(:, 3),':b', 'Marker', 'o', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp64');
hold on
h(2) = semilogy(1:n_eps, err_back_list2(:, 3),'-.r', 'Marker', '*', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'fp32');
hold on
h(3) = semilogy(1:n_eps, err_back_list3(:, 3),'-.g', 'Marker', 's', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'bf16');
hold on
h(4) = semilogy(1:n_eps, err_bound_list1(:, 3),':k', 'Marker', '.', ...
'MarkerSize',markerSize, 'Linewidth',lineWidth, 'DisplayName', 'error bound');
ld = legend(h([1,2,3,4]), ...
'NumColumns',4, 'Location', 'Best', 'FontSize', fontSize, BackgroundAlpha=.3);
legend boxoff
rect = [0.5, 0, 0, 0.05];
set(ld, 'Position', rect);
[l, ~] = title('$\ell$=8');
set(l,'interpreter','latex');
xticklabels(split(num2str(vareps,'%.e ')));
ylim([1e-15, 1e4]);
yticks([ 1e-15, 1e-12, 1e-8, 1e-4, 1e-0, 1e4]);
%extraInputs = {'interpreter','latex','fontsize',fontSize};
%lx = xlabel('$\varepsilon$', extraInputs{:});
a = get(gca,'XTickLabel');
set(gca,'XTickLabel',a,'fontsize',fontSize); % ,'FontWeight','bold'
l.FontSize = fontSize+12;
grid on;
exportgraphics(gca, 'figures/lu4_d8.pdf')
hold off
end