From 69748c659fcb4f0b6f6baeb6080715b2aa8bdaa0 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 16 Feb 2026 13:34:44 +0100 Subject: [PATCH 1/6] 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 ++++++++++++ .../sol_euler_red_1e-07.mat | Bin 0 -> 250622 bytes 3 files changed, 299 insertions(+) create mode 100644 toolbox/examples/predatorpreyFilippov/comptestpprhs.m create mode 100644 toolbox/examples/predatorpreyFilippov/generateEulerSol.m create mode 100644 toolbox/examples/predatorpreyFilippov/sol_euler_red_1e-07.mat diff --git a/toolbox/examples/predatorpreyFilippov/comptestpprhs.m b/toolbox/examples/predatorpreyFilippov/comptestpprhs.m new file mode 100644 index 0000000..3bbab10 --- /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 0000000..b4d2cdf --- /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 diff --git 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z`D4m?^vO1aO^gt+tZK))_ErMfS(&q@j)zU%;})S3aY8<);m#w1q?Mar(k>oxMW!vf z1QF4`-TQ1D!CqTYko_l*V|R^8YnF)O=9?;4CBaNtwOTq=K;BhzomZX+AAOcA)<}>o zc~N*zE+8ouTs65%#No(Die*J08?mw?3saeo*34xwg6;_*}^!GDPZ+DYB| BK>q*$ literal 0 HcmV?d00001 From adddd9f424cb882510ef707208551e0d20b45b1b Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 16 Feb 2026 17:12:28 +0100 Subject: [PATCH 2/6] 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 3bbab10..9641e80 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 06d0378eda62983720e8c8dea858d9695a5a3bc2 Mon Sep 17 00:00:00 2001 From: Marvin Date: Tue, 17 Feb 2026 09:34:37 +0100 Subject: [PATCH 3/6] Changes to be committed: deleted: testpprhs.m --- .../examples/predatorpreyFilippov/testpprhs.m | 162 ------------------ 1 file changed, 162 deletions(-) delete mode 100644 toolbox/examples/predatorpreyFilippov/testpprhs.m diff --git a/toolbox/examples/predatorpreyFilippov/testpprhs.m b/toolbox/examples/predatorpreyFilippov/testpprhs.m deleted file mode 100644 index 1dc2795..0000000 --- a/toolbox/examples/predatorpreyFilippov/testpprhs.m +++ /dev/null @@ -1,162 +0,0 @@ -%% 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; -intIfdiff = @ode45; -intOptions = odeset('reltol', 1e-5, 'abstol', 1e-5, 'MaxStep', 0.5); - -% select what to do -doIfdiff = true; -doEuler = false; % Euler takes very long! false: loads from file, if exists -doErrorplot = true; % compare ifdiff and plain euler - -% name generators -nameIfdiff = @(f) sprintf('ifdiff/%s', func2str(f)); -namePlain = @(f) sprintf('plain %s' , func2str(f)); - - -%% IFDIFF -if doIfdiff - fprintf('Integrating with IFDIFF/%s ...\n', func2str(intIfdiff)) - figure(fignum); - datahandle = prepareDatahandleForIntegration('pprhs', 'solver', func2str(intIfdiff), '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(intIfdiff), linewidth); -end - - -%% EULER Integration -[owndir, ~] = fileparts(mfilename('fullpath')); -euler_fname = fullfile(owndir, sprintf('sol_euler_%.0e.mat', eulerStep)); -if doEuler - 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); - save(euler_fname, "sol_euler"); -elseif isfile(euler_fname) - fprintf('Loading sol_euler from file %s\n', euler_fname); - tmp = load(euler_fname, 'sol_euler'); - sol_euler = tmp.sol_euler; - doEuler = true; -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', namePlain(intEuler), linewidth); -end - -%% ANALYSIS -if doErrorplot - if (doIfdiff && doEuler) - fignum = fignum + 1; errorPlot(fignum, X_plot, Y_ifdiff, Y_euler, nameIfdiff(intIfdiff), namePlain(intEuler)) - else - fprintf('Not enough data to compare. Either IFDIFF or Euler solution missing.\n') - end -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 From 3c522d19924d2b4d923d434a320344d2f8b285ba Mon Sep 17 00:00:00 2001 From: Marvin Date: Wed, 18 Feb 2026 15:03:03 +0100 Subject: [PATCH 4/6] 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 9641e80..d77b96c 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 b4d2cdf..e8888ca 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 0000000..fbc100a --- /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 15cd471787c04ea1196f989f45d85e2728f0ee75 Mon Sep 17 00:00:00 2001 From: Marvin Date: Tue, 24 Feb 2026 08:47:50 +0100 Subject: [PATCH 5/6] 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 d77b96c..414339b 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 a2918afb4e6f9a2b393ad55d5ca4223515331b12 Mon Sep 17 00:00:00 2001 From: Marvin Date: Tue, 24 Feb 2026 13:42:35 +0100 Subject: [PATCH 6/6] 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 414339b..1d25a75 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