From 9755ad5c03c4736ee64ed437a7d2cdeb26f08de2 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 16 Feb 2026 13:34:44 +0100 Subject: [PATCH 1/7] new file: toolbox/examples/predatorpreyFilippov/comptestpprhs.m new file: toolbox/examples/predatorpreyFilippov/generateEulerSol.m new file: toolbox/examples/predatorpreyFilippov/sol_euler_red_1e-07.mat --- .../predatorpreyFilippov/comptestpprhs.m | 179 ++++++++++++++++++ .../predatorpreyFilippov/generateEulerSol.m | 120 ++++++++++++ 2 files changed, 299 insertions(+) create mode 100644 toolbox/examples/predatorpreyFilippov/comptestpprhs.m create mode 100644 toolbox/examples/predatorpreyFilippov/generateEulerSol.m diff --git a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m new file mode 100644 index 00000000..3bbab107 --- /dev/null +++ b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m @@ -0,0 +1,179 @@ +%% SETUP +% parameter values p = (r1, r2, beta1, beta2, q1, q2, m, e) +% order as in paper (see rhs file) +m = 0.790; +r1 = 0.836; +e = 0.948; +q1 = 0.772; +aq = 0.660; +beta2 = 0.896; + +beta1 = 7.81; q2 = 1.5; r2 = 0.3; + +% initial values, parameters, timespan +a = 0.286975; +x0_1 = [a ; a ; r1-r2]; +p = [r1, r2, beta1, beta2, q1, q2, m, e, aq]; +tspan = [0 100]; + +% configure plotting +X_plot = linspace(tspan(1), tspan(end), 1000); +fignum = 1000; +figure(fignum); clf; hold('on'); +plotit = @plotter; + +% solver selection and configuration +intEuler = @explEuler; +eulerStep = 1e-7; +integrator = @ode45; +intOptions = odeset('reltol', 1e-10, 'abstol', 1e-12, 'MaxStep', 0.5); + +% name generators +nameIfdiff = @(f) sprintf('ifdiff/%s', func2str(f)); +namePlainEuler = @(f) sprintf('plain %s' , func2str(f)); +nameODE45 = @(f) sprintf('naive %s' , func2str(f)); + +%% FIRST TIME RUN TO INITIALIZE THE JUST IN TIME COMPILER +% Run the ifdiff integration once to compile the code and have a better runtime for a later speed check +fprintf("Initializing solver %s ... \n", func2str(integrator)); +datahandle = prepareDatahandleForIntegration('pprhs', 'solver', integrator, 'options', intOptions); +solveODE(datahandle, tspan, x0_1, p); +disp("Compilation done..."); + +%% COMPUTATION +% Compute ifdiff solution as always when running the code +fprintf('Integrating with IFDIFF/%s ...\n', func2str(integrator)) +figure(fignum); +datahandle = prepareDatahandleForIntegration('pprhs', 'solver', func2str(integrator), 'options', intOptions); +th = tic(); +sol_ifdiff = solveODE(datahandle, tspan, x0_1, p); +time_ifdiff = toc(th); fprintf('IFDIFF took %g s\n', time_ifdiff); +X_ifdiff = X_plot; +Y_ifdiff = deval(sol_ifdiff, X_ifdiff); +linewidth = 3.0; +hIFDIFF = plotit(fignum, Y_ifdiff, 'g', nameIfdiff(integrator), linewidth); + +% EULER Integration +[owndir, ~] = fileparts(mfilename('fullpath')); +euler_fname = fullfile(owndir, sprintf('sol_euler_red_%.0e.mat', eulerStep)); +EulerFileIsPresent = isfile(euler_fname); +doEuler = true; +if EulerFileIsPresent + fprintf('Loading sol_euler from file %s\n', euler_fname); + tmp = load(euler_fname, 'sol_euler_ds'); + sol_euler = tmp.sol_euler_ds; + doEuler = true; +else + disp("Euler solution file missing... Terminating comparison."); + doEuler = false; + return +end + +if doEuler + X_euler = X_plot; + Y_euler = transpose(interp1(sol_euler.x, transpose(sol_euler.y), X_euler)); + linewidth = 2.0; + hEuler = plotit(fignum, Y_euler, 'c', namePlainEuler(intEuler), linewidth); +end + +% Compute unmodified ODE45 solution +intOptions2 = odeset('reltol', 1e-5, 'abstol', 1e-6, 'MaxStep', 0.5); +disp("Doing naive integration with base ode45 without IFDIFF..."); +tspan2 = linspace(0, 100, 10000); +ode45fun = @(t, y) pprhs(t, y, p); +tnaive = tic(); [t_naive, Y_naive] = ode45(ode45fun, tspan2, x0_1, intOptions2); elapsedTime = toc(tnaive); +disp("Done integrating naively."); +fprintf('Elapsed time: %.4f seconds\n', elapsedTime); +hNaiveODE45 = plotit(fignum, transpose(Y_naive), 'magenta', nameODE45(integrator), 1); + +%% ANALYSIS +fignum = fignum + 1; +errorPlot(fignum, X_plot, Y_ifdiff, Y_euler, nameIfdiff(integrator), namePlainEuler(intEuler)); + +%% Ask if user wants to experience Euler Solution generation +fprintf('\nDo you want to generate an euler trajectory from scratch? \n'); +choices = {"no (exit script)", "yes"}; +default_choice_index = 1; +[idx, val] = userchoice(choices, default_choice_index); +doEuler = false; +if idx == 2 + doEuler = true; +end + +if doEuler + generateEulerSol; +end + +% FINITO +return + +%% HELPERS +function errorPlot(fignum, x1, y1, y2, intname1, intname2) + figure(fignum); clf(fignum); + ydiff = calcDiff(y1, y2); + semilogy(x1, ydiff, 'LineWidth', 1.0); + xlabel('t'); + ylabel('||y||_2'); + title(sprintf('difference %s and %s', intname1, intname2)); + drawnow +end + + +function h = plotter(fignum, y, color, name, lw) + figure(fignum); hold on; + h = plot3(y(3,:), y(2,:), y(1,:), 'Color', color, 'LineWidth', lw, 'DisplayName', name); + view([97 51]); + grid on; + box on; + xlabel('Predator'); + ylabel('Prey 2'); + zlabel('Prey 1'); + legend('location', 'northeast'); + drawnow + pause(1.0); + set(fignum, 'Position', [200 250 750 375]); +end + + +function diffnorm = calcDiff(yA, yB) + % Go through x-coordinates of yA, find nearest x-coordinate in yB and compare. + % Algorithm: 1) Go through x of yA in Index i + % 2) Find nearest x in yB in a window centered around yB(:,i) + len = length(yA); + diffnorm = zeros(len, 1); + for i = 1:len + y = yA(:, i); + % find nearest x in yB in a time-window around the timepoint of y + window = 250; + j0 = max(1, i-window); + jf = max(len, j0+window); + jidx = j0:jf; + tmpdiff = yB(:, jidx) - repmat(y, [1, length(jidx)]); + tmpdiff = vecnorm(tmpdiff,2,1); + diffnorm(i) = min(tmpdiff); + diffnorm(i) = diffnorm(i) / norm(y); + end +end + + +function sol = explEuler(rhs, tspan, x0, stepsize) + xdim = length(x0); % get dimension + stepcount = (tspan(end)-tspan(1))/stepsize; + sfac = 0.001; % store factor + X = zeros(xdim, ceil(stepcount*sfac)+1); + Xi = reshape(x0, [], 1); + X(:,1) = Xi; + k = 2; nextout = ceil(1 / sfac); + for i=2:stepcount + Xi = Xi + stepsize * rhs(i*stepsize, Xi); + if (i == nextout) + X(:,k) = Xi; k = k + 1; + nextout = nextout + ceil(1 / sfac); + end + if ~mod(floor(100*i/stepcount), 10), fprintf('.'); end + end + fprintf('\n') + T = linspace(tspan(1), tspan(end), ceil(stepcount*sfac)+1); + sol.x = T; + sol.y = X; +end diff --git a/toolbox/examples/predatorpreyFilippov/generateEulerSol.m b/toolbox/examples/predatorpreyFilippov/generateEulerSol.m new file mode 100644 index 00000000..b4d2cdf0 --- /dev/null +++ b/toolbox/examples/predatorpreyFilippov/generateEulerSol.m @@ -0,0 +1,120 @@ +%% SETUP +% parameter values p = (r1, r2, beta1, beta2, q1, q2, m, e) +% order as in paper (see rhs file) +m = 0.790; +r1 = 0.836; +e = 0.948; +q1 = 0.772; +aq = 0.660; +beta2 = 0.896; + +beta1 = 7.81; q2 = 1.5; r2 = 0.3; + +% initial values, parameters, timespan +a = 0.286975; +x0_1 = [a ; a ; r1-r2]; +p = [r1, r2, beta1, beta2, q1, q2, m, e, aq]; +tspan = [0 100]; + +% configure plotting +X_plot = linspace(tspan(1), tspan(end), 1000); +fignum = 1002; +figure(fignum); clf; hold('on'); +plotit = @plotter; + +% solver selection and configuration +intEuler = @explEuler; +eulerStep = 1e-7; +namePlainEuler = @(f) sprintf('plain %s' , func2str(f)); + +%% COMPUTATION +% Now let the user decide if an euler solution is generated or loaded +fprintf('\nThis is the Euler solution generation script. Proceed with generation?\n'); +choices = {"no (load from .mat file)", "yes (can take up to 20 minutes)"}; +default_choice_index = 1; +[idx, val] = userchoice(choices, default_choice_index); +doEuler = false; +if idx == 2 + doEuler = true; +end + +% EULER Integration +[owndir, ~] = fileparts(mfilename('fullpath')); +euler_fname = fullfile(owndir, sprintf('sol_euler_red_%.0e.mat', eulerStep)); +EulerFileIsPresent = isfile(euler_fname); +if EulerFileIsPresent && ~doEuler + fprintf('Loading sol_euler from file %s\n', euler_fname); + tmp = load(euler_fname, 'sol_euler_ds'); + sol_euler = tmp.sol_euler_ds; + doEuler = true; +else + if ~EulerFileIsPresent + disp("Euler solution file missing... Generating file"); + else + disp("Computing Euler solution"); + end + % Generate euler solution + fprintf('Integrating with integrator %s (might take a while) ...\n', func2str(intEuler)) + figure(fignum); + th = tic(); + sol_euler = intEuler(@(t,x) pprhs(t,x,p), tspan, x0_1, eulerStep); + time_euler = toc(th); fprintf('Euler took %g s\n', time_euler); + fprintf('Saving result to %s for later reuse.\n', euler_fname); + % reduce euler solution to make file smaller and save it + ds = 100; + idx = 1:ds:numel(sol_euler.x); + sol_euler_ds.x = sol_euler.x(idx); + sol_euler_ds.y = sol_euler.y(:, idx); + save(euler_fname, "sol_euler_ds"); + doEuler = true; % in case we ended up here because the file did not exist +end + +if doEuler + X_euler = X_plot; + Y_euler = transpose(interp1(sol_euler.x, transpose(sol_euler.y), X_euler)); + linewidth = 2.0; + hEuler = plotit(fignum, Y_euler, 'c', namePlainEuler(intEuler), linewidth); +end + + + +% FINITO +return + +%% HELPERS +function sol = explEuler(rhs, tspan, x0, stepsize) + xdim = length(x0); % get dimension + stepcount = (tspan(end)-tspan(1))/stepsize; + sfac = 0.001; % store factor + X = zeros(xdim, ceil(stepcount*sfac)+1); + Xi = reshape(x0, [], 1); + X(:,1) = Xi; + k = 2; nextout = ceil(1 / sfac); + for i=2:stepcount + Xi = Xi + stepsize * rhs(i*stepsize, Xi); + if (i == nextout) + X(:,k) = Xi; k = k + 1; + nextout = nextout + ceil(1 / sfac); + end + if ~mod(floor(100*i/stepcount), 10), fprintf('.'); end + end + fprintf('\n') + T = linspace(tspan(1), tspan(end), ceil(stepcount*sfac)+1); + sol.x = T; + sol.y = X; +end + +function h = plotter(fignum, y, color, name, lw) + figure(fignum); hold on; + h = plot3(y(3,:), y(2,:), y(1,:), 'Color', color, 'LineWidth', lw, 'DisplayName', name); + view([97 51]); + grid on; + box on; + xlabel('Predator'); + ylabel('Prey 2'); + zlabel('Prey 1'); + legend('location', 'northeast'); + drawnow + pause(1.0); + set(fignum, 'Position', [200 250 750 375]); +end From ca574f63750f24dcbf4535873c46b318f51e56b8 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 16 Feb 2026 17:12:28 +0100 Subject: [PATCH 2/7] modified: toolbox/examples/predatorpreyFilippov/comptestpprhs.m --- .../predatorpreyFilippov/comptestpprhs.m | 35 +++++++++++++------ 1 file changed, 25 insertions(+), 10 deletions(-) diff --git a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m index 3bbab107..9641e800 100644 --- a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m +++ b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m @@ -1,3 +1,6 @@ +%% Turn off warnings corresponding to filippov behaviour +warning('off', 'IFDIFF:chattering'); + %% SETUP % parameter values p = (r1, r2, beta1, beta2, q1, q2, m, e) % order as in paper (see rhs file) @@ -29,9 +32,10 @@ intOptions = odeset('reltol', 1e-10, 'abstol', 1e-12, 'MaxStep', 0.5); % name generators -nameIfdiff = @(f) sprintf('ifdiff/%s', func2str(f)); -namePlainEuler = @(f) sprintf('plain %s' , func2str(f)); -nameODE45 = @(f) sprintf('naive %s' , func2str(f)); +nameIfdiff = @(f) sprintf('ifdiff/%s (correct)', func2str(f)); +namePlainEuler = @(f) sprintf('plain %s (correct)' , func2str(f)); +nameODE45 = @(f) sprintf('naive %s (false)' , func2str(f)); +nameODE45_2 = @(f) sprintf('more accurate naive %s' , func2str(f)); %% FIRST TIME RUN TO INITIALIZE THE JUST IN TIME COMPILER % Run the ifdiff integration once to compile the code and have a better runtime for a later speed check @@ -86,22 +90,33 @@ fprintf('Elapsed time: %.4f seconds\n', elapsedTime); hNaiveODE45 = plotit(fignum, transpose(Y_naive), 'magenta', nameODE45(integrator), 1); +warning('on', 'IFDIFF:chattering'); + %% ANALYSIS -fignum = fignum + 1; -errorPlot(fignum, X_plot, Y_ifdiff, Y_euler, nameIfdiff(integrator), namePlainEuler(intEuler)); +fignum2 = fignum + 1; +errorPlot(fignum2, X_plot, Y_ifdiff, Y_euler, nameIfdiff(integrator), namePlainEuler(intEuler)); %% Ask if user wants to experience Euler Solution generation fprintf('\nDo you want to generate an euler trajectory from scratch? \n'); -choices = {"no (exit script)", "yes"}; +choices = {"No", "Yes"}; default_choice_index = 1; [idx, val] = userchoice(choices, default_choice_index); -doEuler = false; if idx == 2 - doEuler = true; + generateEulerSol; end -if doEuler - generateEulerSol; +fprintf('\nDo you want to generate an "accurate" ode45 solution? (Might take a very long time)\n'); +choices2 = {"No (exit script)", "Yes"}; +[idx2, val2] = userchoice(choices2, default_choice_index); +if idx2 == 2 + fprintf('Computing naive solution with smaller tolerances (rel = 1e-8, abs = 1e-9)'); + % Takes naive solver about 20 minutes on Marvins machine + intOptions3 = odeset('reltol', 1e-8, 'abstol', 1e-9, 'MaxStep', 0.5); + ode45fun = @(t, y) pprhs(t, y, p); + tnaive = tic(); [t_naive2, Y_naive2] = ode45(ode45fun, tspan2, x0_1, intOptions3); elapsedTime = toc(tnaive); + disp("Done integrating naively."); + fprintf('Elapsed time: %.4f seconds\n', elapsedTime); + hNaiveODE45 = plotit(fignum, transpose(Y_naive2), 'red', nameODE45_2(integrator), 1); end % FINITO From 56c6e41ff831acde06074814866281b7653bd66a Mon Sep 17 00:00:00 2001 From: Marvin Date: Wed, 18 Feb 2026 15:03:03 +0100 Subject: [PATCH 3/7] modified: toolbox/examples/predatorpreyFilippov/comptestpprhs.m modified: toolbox/examples/predatorpreyFilippov/generateEulerSol.m new file: toolbox/internal/tools/explEuler.m --- .../predatorpreyFilippov/comptestpprhs.m | 37 ++++--------------- .../predatorpreyFilippov/generateEulerSol.m | 21 ----------- toolbox/internal/tools/explEuler.m | 22 +++++++++++ 3 files changed, 29 insertions(+), 51 deletions(-) create mode 100644 toolbox/internal/tools/explEuler.m diff --git a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m index 9641e800..d77b96cb 100644 --- a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m +++ b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m @@ -32,10 +32,10 @@ intOptions = odeset('reltol', 1e-10, 'abstol', 1e-12, 'MaxStep', 0.5); % name generators -nameIfdiff = @(f) sprintf('ifdiff/%s (correct)', func2str(f)); -namePlainEuler = @(f) sprintf('plain %s (correct)' , func2str(f)); -nameODE45 = @(f) sprintf('naive %s (false)' , func2str(f)); -nameODE45_2 = @(f) sprintf('more accurate naive %s' , func2str(f)); +nameIfdiff = @(f) sprintf('ifdiff/%s (correct)', func2str(f)); +namePlainEuler = @(f) sprintf('plain %s (correct)' , func2str(f)); +nameINTEGRATOR = @(f) sprintf('naive %s (false)' , func2str(f)); +nameINTEGRATOR_accurate = @(f) sprintf('more accurate naive %s' , func2str(f)); %% FIRST TIME RUN TO INITIALIZE THE JUST IN TIME COMPILER % Run the ifdiff integration once to compile the code and have a better runtime for a later speed check @@ -88,7 +88,7 @@ tnaive = tic(); [t_naive, Y_naive] = ode45(ode45fun, tspan2, x0_1, intOptions2); elapsedTime = toc(tnaive); disp("Done integrating naively."); fprintf('Elapsed time: %.4f seconds\n', elapsedTime); -hNaiveODE45 = plotit(fignum, transpose(Y_naive), 'magenta', nameODE45(integrator), 1); +hNaiveODE45 = plotit(fignum, transpose(Y_naive), 'magenta', nameINTEGRATOR(integrator), 1); warning('on', 'IFDIFF:chattering'); @@ -116,7 +116,7 @@ tnaive = tic(); [t_naive2, Y_naive2] = ode45(ode45fun, tspan2, x0_1, intOptions3); elapsedTime = toc(tnaive); disp("Done integrating naively."); fprintf('Elapsed time: %.4f seconds\n', elapsedTime); - hNaiveODE45 = plotit(fignum, transpose(Y_naive2), 'red', nameODE45_2(integrator), 1); + hNaiveODE45 = plotit(fignum, transpose(Y_naive2), 'red', nameINTEGRATOR_accurate(integrator), 1); end % FINITO @@ -168,27 +168,4 @@ function errorPlot(fignum, x1, y1, y2, intname1, intname2) diffnorm(i) = min(tmpdiff); diffnorm(i) = diffnorm(i) / norm(y); end -end - - -function sol = explEuler(rhs, tspan, x0, stepsize) - xdim = length(x0); % get dimension - stepcount = (tspan(end)-tspan(1))/stepsize; - sfac = 0.001; % store factor - X = zeros(xdim, ceil(stepcount*sfac)+1); - Xi = reshape(x0, [], 1); - X(:,1) = Xi; - k = 2; nextout = ceil(1 / sfac); - for i=2:stepcount - Xi = Xi + stepsize * rhs(i*stepsize, Xi); - if (i == nextout) - X(:,k) = Xi; k = k + 1; - nextout = nextout + ceil(1 / sfac); - end - if ~mod(floor(100*i/stepcount), 10), fprintf('.'); end - end - fprintf('\n') - T = linspace(tspan(1), tspan(end), ceil(stepcount*sfac)+1); - sol.x = T; - sol.y = X; -end +end \ No newline at end of file diff --git a/toolbox/examples/predatorpreyFilippov/generateEulerSol.m b/toolbox/examples/predatorpreyFilippov/generateEulerSol.m index b4d2cdf0..e8888ca8 100644 --- a/toolbox/examples/predatorpreyFilippov/generateEulerSol.m +++ b/toolbox/examples/predatorpreyFilippov/generateEulerSol.m @@ -82,27 +82,6 @@ return %% HELPERS -function sol = explEuler(rhs, tspan, x0, stepsize) - xdim = length(x0); % get dimension - stepcount = (tspan(end)-tspan(1))/stepsize; - sfac = 0.001; % store factor - X = zeros(xdim, ceil(stepcount*sfac)+1); - Xi = reshape(x0, [], 1); - X(:,1) = Xi; - k = 2; nextout = ceil(1 / sfac); - for i=2:stepcount - Xi = Xi + stepsize * rhs(i*stepsize, Xi); - if (i == nextout) - X(:,k) = Xi; k = k + 1; - nextout = nextout + ceil(1 / sfac); - end - if ~mod(floor(100*i/stepcount), 10), fprintf('.'); end - end - fprintf('\n') - T = linspace(tspan(1), tspan(end), ceil(stepcount*sfac)+1); - sol.x = T; - sol.y = X; -end function h = plotter(fignum, y, color, name, lw) figure(fignum); hold on; diff --git a/toolbox/internal/tools/explEuler.m b/toolbox/internal/tools/explEuler.m new file mode 100644 index 00000000..fbc100aa --- /dev/null +++ b/toolbox/internal/tools/explEuler.m @@ -0,0 +1,22 @@ +function sol = explEuler(rhs, tspan, x0, stepsize) + xdim = length(x0); % get dimension + stepcount = (tspan(end)-tspan(1))/stepsize; + sfac = 0.001; % store factor + X = zeros(xdim, ceil(stepcount*sfac)+1); + Xi = reshape(x0, [], 1); + X(:,1) = Xi; + k = 2; nextout = ceil(1 / sfac); + for i=2:stepcount + Xi = Xi + stepsize * rhs(i*stepsize, Xi); + if (i == nextout) + X(:,k) = Xi; k = k + 1; + nextout = nextout + ceil(1 / sfac); + end + if ~mod(floor(100*i/stepcount), 10), fprintf('.'); end + end + fprintf('\n') + T = linspace(tspan(1), tspan(end), ceil(stepcount*sfac)+1); + sol.x = T; + sol.y = X; +end + From 55dad9809b2f275fd5c982ef8553fe663aaba3e9 Mon Sep 17 00:00:00 2001 From: Marvin Date: Tue, 24 Feb 2026 08:47:50 +0100 Subject: [PATCH 4/7] modified: toolbox/examples/predatorpreyFilippov/comptestpprhs.m --- toolbox/examples/predatorpreyFilippov/comptestpprhs.m | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m index d77b96cb..414339be 100644 --- a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m +++ b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m @@ -109,9 +109,9 @@ choices2 = {"No (exit script)", "Yes"}; [idx2, val2] = userchoice(choices2, default_choice_index); if idx2 == 2 - fprintf('Computing naive solution with smaller tolerances (rel = 1e-8, abs = 1e-9)'); + fprintf('Computing naive solution with smaller tolerances (rel = 1e-7, abs = 1e-8)'); % Takes naive solver about 20 minutes on Marvins machine - intOptions3 = odeset('reltol', 1e-8, 'abstol', 1e-9, 'MaxStep', 0.5); + intOptions3 = odeset('reltol', 1e-7, 'abstol', 1e-8, 'MaxStep', 0.5); ode45fun = @(t, y) pprhs(t, y, p); tnaive = tic(); [t_naive2, Y_naive2] = ode45(ode45fun, tspan2, x0_1, intOptions3); elapsedTime = toc(tnaive); disp("Done integrating naively."); From 149aeba2d4369af82150cfc1f13689dcf52efe99 Mon Sep 17 00:00:00 2001 From: Marvin Date: Tue, 24 Feb 2026 13:42:35 +0100 Subject: [PATCH 5/7] modified: toolbox/examples/predatorpreyFilippov/comptestpprhs.m --- .../predatorpreyFilippov/comptestpprhs.m | 49 +++++++++---------- 1 file changed, 23 insertions(+), 26 deletions(-) diff --git a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m index 414339be..1d25a75f 100644 --- a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m +++ b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m @@ -14,9 +14,9 @@ beta1 = 7.81; q2 = 1.5; r2 = 0.3; % initial values, parameters, timespan -a = 0.286975; -x0_1 = [a ; a ; r1-r2]; -p = [r1, r2, beta1, beta2, q1, q2, m, e, aq]; +a = 0.286975; +x0_1 = [a ; a ; r1-r2]; +p = [r1, r2, beta1, beta2, q1, q2, m, e, aq]; tspan = [0 100]; % configure plotting @@ -26,10 +26,12 @@ plotit = @plotter; % solver selection and configuration -intEuler = @explEuler; -eulerStep = 1e-7; -integrator = @ode45; -intOptions = odeset('reltol', 1e-10, 'abstol', 1e-12, 'MaxStep', 0.5); +intEuler = @explEuler; +eulerStep = 1e-7; +integrator = @ode45; % naive integrator to compare with +intOptions = odeset('reltol', 1e-10, 'abstol', 1e-12, 'MaxStep', 0.5); % options for ifdiff integrator +naiveintOptions = odeset('reltol', 1e-5, 'abstol', 1e-6, 'MaxStep', 0.5); % for naive integration +naiveintOptions_accurate = odeset('reltol', 1e-7, 'abstol', 1e-8, 'MaxStep', 0.5); % name generators nameIfdiff = @(f) sprintf('ifdiff/%s (correct)', func2str(f)); @@ -61,7 +63,6 @@ [owndir, ~] = fileparts(mfilename('fullpath')); euler_fname = fullfile(owndir, sprintf('sol_euler_red_%.0e.mat', eulerStep)); EulerFileIsPresent = isfile(euler_fname); -doEuler = true; if EulerFileIsPresent fprintf('Loading sol_euler from file %s\n', euler_fname); tmp = load(euler_fname, 'sol_euler_ds'); @@ -80,12 +81,11 @@ hEuler = plotit(fignum, Y_euler, 'c', namePlainEuler(intEuler), linewidth); end -% Compute unmodified ODE45 solution -intOptions2 = odeset('reltol', 1e-5, 'abstol', 1e-6, 'MaxStep', 0.5); -disp("Doing naive integration with base ode45 without IFDIFF..."); +% Compute unmodified naive solution +fprintf('Doing naive integration with base %s without IFDIFF...', func2str(integrator)); tspan2 = linspace(0, 100, 10000); -ode45fun = @(t, y) pprhs(t, y, p); -tnaive = tic(); [t_naive, Y_naive] = ode45(ode45fun, tspan2, x0_1, intOptions2); elapsedTime = toc(tnaive); +RHSfun = @(t, y) pprhs(t, y, p); +tnaive = tic(); [t_naive_acc, Y_naive] = integrator(RHSfun, tspan2, x0_1, naiveintOptions); elapsedTime = toc(tnaive); disp("Done integrating naively."); fprintf('Elapsed time: %.4f seconds\n', elapsedTime); hNaiveODE45 = plotit(fignum, transpose(Y_naive), 'magenta', nameINTEGRATOR(integrator), 1); @@ -97,26 +97,23 @@ errorPlot(fignum2, X_plot, Y_ifdiff, Y_euler, nameIfdiff(integrator), namePlainEuler(intEuler)); %% Ask if user wants to experience Euler Solution generation -fprintf('\nDo you want to generate an euler trajectory from scratch? \n'); -choices = {"No", "Yes"}; default_choice_index = 1; -[idx, val] = userchoice(choices, default_choice_index); +fprintf('\nDo you want to generate an euler trajectory from scratch? \n'); +euler_traj_choices = {"No", "Yes"}; +[idx, val] = userchoice(euler_traj_choices, default_choice_index); if idx == 2 generateEulerSol; end -fprintf('\nDo you want to generate an "accurate" ode45 solution? (Might take a very long time)\n'); -choices2 = {"No (exit script)", "Yes"}; -[idx2, val2] = userchoice(choices2, default_choice_index); +fprintf('\nDo you want to generate an "accurate" %s solution? (Might take a very long time)\n', func2str(integrator)); +acc_naive_choices = {"No (exit script)", "Yes"}; +[idx2, val2] = userchoice(acc_naive_choices, default_choice_index); if idx2 == 2 fprintf('Computing naive solution with smaller tolerances (rel = 1e-7, abs = 1e-8)'); - % Takes naive solver about 20 minutes on Marvins machine - intOptions3 = odeset('reltol', 1e-7, 'abstol', 1e-8, 'MaxStep', 0.5); - ode45fun = @(t, y) pprhs(t, y, p); - tnaive = tic(); [t_naive2, Y_naive2] = ode45(ode45fun, tspan2, x0_1, intOptions3); elapsedTime = toc(tnaive); - disp("Done integrating naively."); - fprintf('Elapsed time: %.4f seconds\n', elapsedTime); - hNaiveODE45 = plotit(fignum, transpose(Y_naive2), 'red', nameINTEGRATOR_accurate(integrator), 1); + RHSfun = @(t, y) pprhs(t, y, p); + tnaive = tic(); [t_naive_acc, Y_naive_acc] = ode45(RHSfun, tspan2, x0_1, naiveintOptions_accurate); elapsedTime = toc(tnaive); + fprintf('\nDone integrating naively. Elapsed time: %.4f seconds\n', elapsedTime); + hNaiveODE45 = plotit(fignum, transpose(Y_naive_acc), 'red', nameINTEGRATOR_accurate(integrator), 1); end % FINITO From fc32ac46c61667d882a6aed9f24cf9d8d8f681b0 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 24 Aug 2026 13:22:33 +0200 Subject: [PATCH 6/7] Removed unecessary files for pull request --- .../predatorpreyFilippov/comptestpprhs.m | 168 ------------------ ...rPrey3D_solve.m => predatorPrey3D_bench.m} | 142 +++++++++++---- .../predatorpreyFilippov/sol_euler_1e-07.mat | Bin 0 -> 250890 bytes .../sol_euler_1e-07_disturb_wrt_y3.mat | Bin 0 -> 250887 bytes 4 files changed, 112 insertions(+), 198 deletions(-) delete mode 100644 toolbox/examples/predatorpreyFilippov/comptestpprhs.m rename toolbox/examples/predatorpreyFilippov/{predatorPrey3D_solve.m => predatorPrey3D_bench.m} (58%) create mode 100644 toolbox/examples/predatorpreyFilippov/sol_euler_1e-07.mat create mode 100644 toolbox/examples/predatorpreyFilippov/sol_euler_1e-07_disturb_wrt_y3.mat diff --git a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m deleted file mode 100644 index 1d25a75f..00000000 --- a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m +++ /dev/null @@ -1,168 +0,0 @@ -%% Turn off warnings corresponding to filippov behaviour -warning('off', 'IFDIFF:chattering'); - -%% SETUP -% parameter values p = (r1, r2, beta1, beta2, q1, q2, m, e) -% order as in paper (see rhs file) -m = 0.790; -r1 = 0.836; -e = 0.948; -q1 = 0.772; -aq = 0.660; -beta2 = 0.896; - -beta1 = 7.81; q2 = 1.5; r2 = 0.3; - -% initial values, parameters, timespan -a = 0.286975; -x0_1 = [a ; a ; r1-r2]; -p = [r1, r2, beta1, beta2, q1, q2, m, e, aq]; -tspan = [0 100]; - -% configure plotting -X_plot = linspace(tspan(1), tspan(end), 1000); -fignum = 1000; -figure(fignum); clf; hold('on'); -plotit = @plotter; - -% solver selection and configuration -intEuler = @explEuler; -eulerStep = 1e-7; -integrator = @ode45; % naive integrator to compare with -intOptions = odeset('reltol', 1e-10, 'abstol', 1e-12, 'MaxStep', 0.5); % options for ifdiff integrator -naiveintOptions = odeset('reltol', 1e-5, 'abstol', 1e-6, 'MaxStep', 0.5); % for naive integration -naiveintOptions_accurate = odeset('reltol', 1e-7, 'abstol', 1e-8, 'MaxStep', 0.5); - -% name generators -nameIfdiff = @(f) sprintf('ifdiff/%s (correct)', func2str(f)); -namePlainEuler = @(f) sprintf('plain %s (correct)' , func2str(f)); -nameINTEGRATOR = @(f) sprintf('naive %s (false)' , func2str(f)); -nameINTEGRATOR_accurate = @(f) sprintf('more accurate naive %s' , func2str(f)); - -%% FIRST TIME RUN TO INITIALIZE THE JUST IN TIME COMPILER -% Run the ifdiff integration once to compile the code and have a better runtime for a later speed check -fprintf("Initializing solver %s ... \n", func2str(integrator)); -datahandle = prepareDatahandleForIntegration('pprhs', 'solver', integrator, 'options', intOptions); -solveODE(datahandle, tspan, x0_1, p); -disp("Compilation done..."); - -%% COMPUTATION -% Compute ifdiff solution as always when running the code -fprintf('Integrating with IFDIFF/%s ...\n', func2str(integrator)) -figure(fignum); -datahandle = prepareDatahandleForIntegration('pprhs', 'solver', func2str(integrator), 'options', intOptions); -th = tic(); -sol_ifdiff = solveODE(datahandle, tspan, x0_1, p); -time_ifdiff = toc(th); fprintf('IFDIFF took %g s\n', time_ifdiff); -X_ifdiff = X_plot; -Y_ifdiff = deval(sol_ifdiff, X_ifdiff); -linewidth = 3.0; -hIFDIFF = plotit(fignum, Y_ifdiff, 'g', nameIfdiff(integrator), linewidth); - -% EULER Integration -[owndir, ~] = fileparts(mfilename('fullpath')); -euler_fname = fullfile(owndir, sprintf('sol_euler_red_%.0e.mat', eulerStep)); -EulerFileIsPresent = isfile(euler_fname); -if EulerFileIsPresent - fprintf('Loading sol_euler from file %s\n', euler_fname); - tmp = load(euler_fname, 'sol_euler_ds'); - sol_euler = tmp.sol_euler_ds; - doEuler = true; -else - disp("Euler solution file missing... Terminating comparison."); - doEuler = false; - return -end - -if doEuler - X_euler = X_plot; - Y_euler = transpose(interp1(sol_euler.x, transpose(sol_euler.y), X_euler)); - linewidth = 2.0; - hEuler = plotit(fignum, Y_euler, 'c', namePlainEuler(intEuler), linewidth); -end - -% Compute unmodified naive solution -fprintf('Doing naive integration with base %s without IFDIFF...', func2str(integrator)); -tspan2 = linspace(0, 100, 10000); -RHSfun = @(t, y) pprhs(t, y, p); -tnaive = tic(); [t_naive_acc, Y_naive] = integrator(RHSfun, tspan2, x0_1, naiveintOptions); elapsedTime = toc(tnaive); -disp("Done integrating naively."); -fprintf('Elapsed time: %.4f seconds\n', elapsedTime); -hNaiveODE45 = plotit(fignum, transpose(Y_naive), 'magenta', nameINTEGRATOR(integrator), 1); - -warning('on', 'IFDIFF:chattering'); - -%% ANALYSIS -fignum2 = fignum + 1; -errorPlot(fignum2, X_plot, Y_ifdiff, Y_euler, nameIfdiff(integrator), namePlainEuler(intEuler)); - -%% Ask if user wants to experience Euler Solution generation -default_choice_index = 1; -fprintf('\nDo you want to generate an euler trajectory from scratch? \n'); -euler_traj_choices = {"No", "Yes"}; -[idx, val] = userchoice(euler_traj_choices, default_choice_index); -if idx == 2 - generateEulerSol; -end - -fprintf('\nDo you want to generate an "accurate" %s solution? (Might take a very long time)\n', func2str(integrator)); -acc_naive_choices = {"No (exit script)", "Yes"}; -[idx2, val2] = userchoice(acc_naive_choices, default_choice_index); -if idx2 == 2 - fprintf('Computing naive solution with smaller tolerances (rel = 1e-7, abs = 1e-8)'); - RHSfun = @(t, y) pprhs(t, y, p); - tnaive = tic(); [t_naive_acc, Y_naive_acc] = ode45(RHSfun, tspan2, x0_1, naiveintOptions_accurate); elapsedTime = toc(tnaive); - fprintf('\nDone integrating naively. Elapsed time: %.4f seconds\n', elapsedTime); - hNaiveODE45 = plotit(fignum, transpose(Y_naive_acc), 'red', nameINTEGRATOR_accurate(integrator), 1); -end - -% FINITO -return - -%% HELPERS -function errorPlot(fignum, x1, y1, y2, intname1, intname2) - figure(fignum); clf(fignum); - ydiff = calcDiff(y1, y2); - semilogy(x1, ydiff, 'LineWidth', 1.0); - xlabel('t'); - ylabel('||y||_2'); - title(sprintf('difference %s and %s', intname1, intname2)); - drawnow -end - - -function h = plotter(fignum, y, color, name, lw) - figure(fignum); hold on; - h = plot3(y(3,:), y(2,:), y(1,:), 'Color', color, 'LineWidth', lw, 'DisplayName', name); - view([97 51]); - grid on; - box on; - xlabel('Predator'); - ylabel('Prey 2'); - zlabel('Prey 1'); - legend('location', 'northeast'); - drawnow - pause(1.0); - set(fignum, 'Position', [200 250 750 375]); -end - - -function diffnorm = calcDiff(yA, yB) - % Go through x-coordinates of yA, find nearest x-coordinate in yB and compare. - % Algorithm: 1) Go through x of yA in Index i - % 2) Find nearest x in yB in a window centered around yB(:,i) - len = length(yA); - diffnorm = zeros(len, 1); - for i = 1:len - y = yA(:, i); - % find nearest x in yB in a time-window around the timepoint of y - window = 250; - j0 = max(1, i-window); - jf = max(len, j0+window); - jidx = j0:jf; - tmpdiff = yB(:, jidx) - repmat(y, [1, length(jidx)]); - tmpdiff = vecnorm(tmpdiff,2,1); - diffnorm(i) = min(tmpdiff); - diffnorm(i) = diffnorm(i) / norm(y); - end -end \ No newline at end of file diff --git a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_solve.m b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m similarity index 58% rename from toolbox/examples/predatorpreyFilippov/predatorPrey3D_solve.m rename to toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m index 06de11ce..facdf76f 100644 --- a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_solve.m +++ b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m @@ -44,6 +44,12 @@ wrt_y = 3; eulerDisturbH = 1e-6; +%% FIRST TIME RUN TO INITIALIZE THE JUST IN TIME COMPILER +% Run the ifdiff integration once to compile the code and have a better runtime for a later speed check +fprintf("Initializing solver %s ... \n", func2str(intIfdiff)); +datahandle = prepareDatahandleForIntegration('pprhs', 'solver', intIfdiff, 'options', intOptions); +solveODE(datahandle, tspan, x0, p); +disp("Compilation done..."); %% Solve with IFDIFF datahandle = prepareDatahandleForIntegration(rhs, 'solver', intIfdiff, 'options', intOptions); @@ -53,7 +59,7 @@ configOld = makeConfig(configNew); try solIfdiff = solveODE(datahandle, tspan, x0, p); -catch ME +catch MEa makeConfig(configOld); rethrow(ME); end @@ -73,12 +79,46 @@ %% Plot solution +windowTitleX = "3D Solution Trajectories"; plot_x_ifdiff = deval(solIfdiff, plot_t); -axSol = plotSol3d([], plot_x_ifdiff, nameIfdiff, lwIfdiff, colorIfdiff, lsIfdiff); +axSol = plotSol3d([], plot_x_ifdiff, nameIfdiff, lwIfdiff, colorIfdiff, lsIfdiff, windowTitleX); plot_x_euler = interp1(solEuler.x, solEuler.y', plot_t)'; -plotSol3d(axSol, plot_x_euler, nameEuler, lwEuler, colorEuler, lsEuler); +plotSol3d(axSol, plot_x_euler, nameEuler, lwEuler, colorEuler, lsEuler, windowTitleX); +%% Plot difference between Euler and IFDIFF solutions +plot_diff = abs(plot_x_euler - plot_x_ifdiff); + +% Plot only every nth entry +idx = 1:10:length(plot_t); + +figure('Name', "Distances of solution states over time"); +for idx_y = 1:3 + semilogy(plot_t(idx), plot_diff(idx_y, idx), 'LineWidth', 1, 'DisplayName', sprintf('Species %d', idx_y)); + hold on; +end +hold off; + +grid on; +xlabel('Time'); +ylabel('Euler - IFDIFF'); +legend('location', 'northeast'); +title('Difference between Euler and IFDIFF solutions'); + +%% Plot Euclidean distance between Euler and IFDIFF solutions +euclidean_diff = vecnorm(plot_x_euler - plot_x_ifdiff, 2, 1); + +% Plot only every nth entry +idx = 1:10:length(plot_t); + +figure('Name', "Euclidian distance of solution trajectories over time"); +semilogy(plot_t(idx), euclidean_diff(idx), 'LineWidth', 1, 'DisplayName', 'Euclidean distance'); + +grid on; +xlabel('Time'); +ylabel('Euclidean distance'); +legend('location', 'northeast'); +title('Euclidean distance between Euler and IFDIFF solutions'); %% Compute Sensitivity with IFDIFF FDstep = generateFDstep(numel(x0), numel(p), 'hy', 1e-6, 'hp', 1e-6, 'ht', 1e-6); @@ -104,9 +144,25 @@ %% Plot Sensitivity +windowTitle = "Sensitivity and failiure modes of Euler nr. "; for idx_y=1:3 -ax = plotSens([], plot_t, plot_sens_ifdiff(idx_y, :), 'sensIFDIFF', lwIfdiff, colorIfdiff, lsIfdiff); -plotSens(ax, plot_t, plot_sens_euler(idx_y, :), 'sensEuler', lwEuler, colorEuler, lsEuler); + windowTitleX = windowTitle + idx_y; + % Preferred zoom for each sensitivity + switch idx_y + case 1 + zoomX = [79 81]; + zoomY = [0.32 0.385]; + + case 2 + zoomX = [61.2 61.3]; + zoomY = [17 30]; + + case 3 + zoomX = [47.5 47.8]; + zoomY = [9.1 9.7]; + end + ax = plotSens([], plot_t, plot_sens_ifdiff(idx_y, :), 'sensIFDIFF', lwIfdiff, colorIfdiff, lsIfdiff, windowTitleX, zoomX, zoomY); + plotSens(ax, plot_t, plot_sens_euler(idx_y, :), 'sensEuler', lwEuler, colorEuler, lsEuler, windowTitleX, zoomX, zoomY); end @@ -125,14 +181,15 @@ %% Helpers function sol_euler = loadEulerOrCompute(fname, vname, rhs, tspan, x0, p, step) +saveEvery = 100000; if isfile(fname) tmp = load(fname, vname); sol_euler = tmp.(vname); fprintf('Loading %s from file %s\n', vname, fname); return end -fprintf('Integrating with explicit Euler (might take a while) ...\n') -sol_euler = explEuler(rhs, tspan, x0, p, step); +fprintf('Integrating with explicit Euler (might take a while) ...\n'); +sol_euler = explEuler(rhs, tspan, x0, p, step, saveEvery); fprintf('Saving result to %s for later reuse.\n', fname); save(fname, vname); end @@ -143,7 +200,7 @@ function plotSwitches(ax, switches) function ax = plotSwitchingFuncOrAlpha(ax, t, x, name, lw, color, yyax, ylab) if isempty(ax) - f = figure; + f = figure('Name', 'Alpha and Switching Function'); ax = axes(f); end yyaxis(ax, yyax); @@ -160,23 +217,41 @@ function plotSwitches(ax, switches) ylim(ax, yl); end -function ax = plotSens(ax, t, x, name, lw, color, ls) +function ax = plotSens(ax, t, x, name, lw, color, ls, windowTitleX, zoomX, zoomY) if isempty(ax) - f = figure; - ax = axes(f); + f = figure('Name', windowTitleX, 'NumberTitle', 'off'); + tl = tiledlayout(f, 2, 1); + ax = nexttile(tl, 1); + axZoom = nexttile(tl, 2); + ax.UserData = axZoom; % Store reference to zoom axes +else + axZoom = ax.UserData; end + +% Full plot hold(ax, 'on'); plot(ax, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); hold(ax, 'off'); grid(ax, 'on'); -xlabel(ax, 'Time') -ylabel(ax, 'Sensitivity') +xlabel(ax, 'Time'); +ylabel(ax, 'Sensitivity'); legend(ax, 'location', 'northeast'); + +% Zoomed plot +hold(axZoom, 'on'); +plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); +hold(axZoom, 'off'); +grid(axZoom, 'on'); +xlabel(axZoom, 'Time'); +ylabel(axZoom, 'Sensitivity'); + +xlim(axZoom, zoomX); +ylim(axZoom, zoomY); end -function ax = plotSol3d(ax, x, name, lw, color, ls) +function ax = plotSol3d(ax, x, name, lw, color, ls, windowTitleX) if isempty(ax) - f = figure; + f = figure('Name', windowTitleX); ax = axes(f); end hold(ax, 'on'); @@ -192,27 +267,34 @@ function plotSwitches(ax, switches) legend(ax, 'location', 'northeast'); end -function sol = explEuler(rhs, tspan, x0, p, stepsize) +function sol = explEuler(rhs, tspan, x0, p, stepsize, saveEvery) xdim = length(x0); -stepcount = (tspan(end)-tspan(1)) / stepsize; -sfac = 0.001; % store factor -n_out = ceil(stepcount*sfac) + 1; - +stepcount = round((tspan(end) - tspan(1)) / stepsize); +n_out = ceil(stepcount / saveEvery) + 1; Xi = reshape(x0, [], 1); +% Output data structures X = zeros(xdim, n_out); -X(:,1) = Xi; - -k = 2; nextout = ceil(1 / sfac); -for i=2:stepcount - Xi = Xi + stepsize * rhs(i*stepsize, Xi, p); - if (i == nextout) - X(:,k) = Xi; k = k + 1; - nextout = nextout + ceil(1 / sfac); +T = zeros(1, n_out); +X(:, 1) = Xi; +T(1) = tspan(1); +k = 2; +for i = 1:stepcount + t = tspan(1) + (i - 1) * stepsize; + Xi = Xi + stepsize * rhs(t, Xi, p); + if mod(i, saveEvery) == 0 || i == stepcount + X(:, k) = Xi; + T(k) = t + stepsize; + k = k + 1; + end + if ~mod(i, max(1, floor(stepcount / 100))) + fprintf('.'); end - if ~mod(i, stepcount / 100), fprintf('.'); end end fprintf('\n'); -T = linspace(tspan(1), tspan(end), n_out); +% Remove unused preallocated entries +X = X(:, 1:k-1); +T = T(1:k-1); + sol.x = T; sol.y = X; end diff --git a/toolbox/examples/predatorpreyFilippov/sol_euler_1e-07.mat b/toolbox/examples/predatorpreyFilippov/sol_euler_1e-07.mat new file mode 100644 index 0000000000000000000000000000000000000000..f3ac9010b9a6faeaee857a079425ac3213729a29 GIT binary patch literal 250890 zcmeFZdt8j^|3AKtDbbcxa#b>-$YBWgozyzsA&0>#gk_>~sJUkxk`Ak)B3GtTQEC~7 z5E-XJbnfol4pNAkxtk`Zm_+ILyY9*Edw1XO-L;>`@A3Vup0(0p*6a~eCrlc#c-G4CTimyAwj8l+`^KGHJo!7UM=YD;xM0aNE6Wjc_?tKG z-0U*K)5ChiVo#3|vv#?TU{4>xo?<;2vz~;Hm^^9nv=LwV=bK;t^jff33mpeM?DLIR z{PwCv+npVa)M|%4oARl3YRZgvEe@lK&JC>ExuS7s+_fK8OtVZ1a?;gXdHTn(vsPbq zH;Y<4?McwQX^kT-LxKWUvb6hJnE$x^(Xur$It$}(Em?d1$cL*mwj@kYUU{gW;|Yg1 zw*_V0GcpA4Zd1j_9qOBo9e3z@@7wr(>M?bqto%v$-l2mx*mb;^QsdKh+clvp%T-b8 za?ZEw>JgL8lkNOk+vPcxueeXjpO$tf?k-Lo_-@#a?lpb&bxC6ci+H1(CJDOozP3Xgi z32j=G92?(WSWG@`FWTI>4kivTYS?qqb6vM1mXbs->^ShK-J@f+x9qMm&OPv5zPlhi 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    BuxGS-w>=g}{%NakFbAm^(O6Xq-$3 zy|}|sQtK4R{#w!!UrD%Hz4Y5vD;qO2~&@HxRS09~5W#s3ZN4-f9%>65&U!RWXiZAU(m_|sh=9gC+d#R%MkW9i@ zIt-4VS7f|A4MmIQdPcL2y}D0HN%C(x81+Wh^Gv5vlRDm#rANY|EyIVY9T`AM%|R#o zX}r5tU;klaf0iOUKW~-Dz_SaR3$)%%Lyma+eW(NpX9!PJzp7{8Jf);oJbW6pw$fkP z_L5-ynfdG~(+oIwvKjEFO=H(F$4u#sJ^z0I0096070`JwlwknJ@k)h8R*j6voiZDy zr0wKalG0_OgJ~L-u-mBvYgURDNmMGupyzEW85w5Z_jNVtK&u9Y4oBMTOtsJJOf_XY zr2oHveCN}W*HvDTpu$OoRs76a9eTf;Jgn6-xZ3son=D5Kt0tSJ&Tn+Mw^RNhfieh6 zYFHP*sh}&^k_W1TOV2=Gcsm0NPmgiZ7b-Z*^kvfDI%H=ARLj*2qC4YdoS=eYb9fRF zQ8=VJ+f|e^XczBl^PJ2g(@AIj*^$Di^zN|z9R?z|;q%mih3G`j*%cBBt#6G<`Bes~ z59&U)da;L^JsGBZ&8nVbO2- zOp+Z%u`=$uA~t-iFLQ5d%3_gk{U>a$lH%`BrfcOk2F(MBPtTXKurr=mpuR@2bXjY- zlOKbKBbwpFMizeSj}FBYQxva`FsPD@`S{~j31uN!&=axfAw^}_c&&UcgDAgIS2IHn zgTH>77_?D%I#1Q?wPc`l*J_GpbCAA|7|?v8aI!6Ik1-x|n=Ud__;9#sq_t?&Qygt% zN;o}%HqC6BayJLd5^*y<=COLR$E(oJwV_wH-& zd=BQ3fn|LX0k#Y8i=;0Id!;;z|mu|dFd5o^BjF~QdS!j^ZP9Ne^53Ijp~ zG)sFzLRbRzy}*v~dJgvU_8hx@TmY9Vdvf76LDEIj(%mz8h&9XJ4y6kCa7XMhc#R;? z!?0*%2@g*rM{RJPfEjBaWyGE%xY=80(-h3ZPq4f3vP?jYp|aZLBtb*UynS7A9t|dI zt%B Date: Mon, 24 Aug 2026 14:03:40 +0200 Subject: [PATCH 7/7] Changed linestyle and thickness in sensitivity plot for pprEx --- toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m index facdf76f..590a2bf4 100644 --- a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m +++ b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m @@ -239,7 +239,7 @@ function plotSwitches(ax, switches) % Zoomed plot hold(axZoom, 'on'); -plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); +plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); hold(axZoom, 'off'); grid(axZoom, 'on'); xlabel(axZoom, 'Time');