From e735e5328ee39a26b9ac630c672c5d8464601ea1 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 23 Apr 2026 12:15:11 +0200 Subject: [PATCH 01/43] tests on DAE sensitivities --- .../daeExample/sensitivities_daeExample.m | 34 +++++++++++++++++++ 1 file changed, 34 insertions(+) create mode 100644 toolbox/examples/daeExample/sensitivities_daeExample.m diff --git a/toolbox/examples/daeExample/sensitivities_daeExample.m b/toolbox/examples/daeExample/sensitivities_daeExample.m new file mode 100644 index 00000000..b596ba97 --- /dev/null +++ b/toolbox/examples/daeExample/sensitivities_daeExample.m @@ -0,0 +1,34 @@ +%% sensitivities daeExample + +%% Solution with ifdiff + +integrator = @ode15s; +x0 = [1; -1]; +tspan = [0 5]; +M = [1 0; 0 0]; +p = -0.2; + +opts_ifdiff = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-9,'RelTol', 1e-6); +datahandle = prepareDatahandleForIntegration('daeExampleRHS', 'integrator', integrator, 'options', opts_ifdiff); +sol = solveODE(datahandle, tspan, x0, p); + +%% Data for finite differences +dim_y = size(sol.y, 1); +dim_p = length(p); +FDstep = generateFDstep(dim_y, dim_p, 'hy_rel_flag', true,'hp_rel_flag', true, 'hy_min', 1e-6, 'hp_min', 1e-6); + +%% Generation of sensitivity functions +tic; +integrator_options = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); % generateSensitivityFunction doesn't take mass matrix options +sensitivities_function_ENDfull = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_full', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); +sensitivities_function_ENDpiece = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_piecewise', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', false); +sensitivities_function_VDE = generateSensitivityFunction(datahandle, sol, FDstep, 'integrator_options', integrator_options, 'method', 'VDE', 'calcGy', true,'calcGp',false, 'Gmatrices_intermediate', true, 'save_intermediates', false); +toc; + +%% Sensitivty calculations +t = [0 3]; +tic; +sensitivities_full = sensitivities_function_ENDfull(t); +sensitivities_piece = sensitivities_function_ENDpiece(t); +sensitivities_VDE = sensitivities_function_VDE(t); +toc; \ No newline at end of file From a7dbc4130deb24f15f5cae7182f08635ce652746 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 23 Apr 2026 19:56:38 +0200 Subject: [PATCH 02/43] Added explicit Euler solutions in DAE examples and function explicitEulerDAE --- toolbox/examples/daeExample/daeExample_main.m | 6 +- toolbox/examples/explicitEulerDAE.m | 74 +++++++++++++++++++ toolbox/examples/rlcExample/rlc_main.m | 15 +++- 3 files changed, 90 insertions(+), 5 deletions(-) create mode 100644 toolbox/examples/explicitEulerDAE.m diff --git a/toolbox/examples/daeExample/daeExample_main.m b/toolbox/examples/daeExample/daeExample_main.m index c840fa1f..47b1f7c5 100644 --- a/toolbox/examples/daeExample/daeExample_main.m +++ b/toolbox/examples/daeExample/daeExample_main.m @@ -3,7 +3,7 @@ %% Setup and integration integrator = @ode15s; -x0 = [1; -1]; +x0 = [0.5; -0.5]; tspan = [0 5]; M = [1 0; 0 0]; p = -0.2; @@ -15,6 +15,10 @@ sol_ifdiff = solveODE(datahandle, tspan, x0, p); sol_plain = integrator(@(t, x) daeExampleRHS(t, x, p), tspan, x0, opts_plain); +%% Explicit Euler for Comparison +h = 1e-6; +sol_euler = explicitEulerDAE(@(t,x,p) rlcRHS(t,x,p), 1, tspan, x0, p, h); + %% Plots clf; fig1 = figure(01); diff --git a/toolbox/examples/explicitEulerDAE.m b/toolbox/examples/explicitEulerDAE.m new file mode 100644 index 00000000..6567d9d7 --- /dev/null +++ b/toolbox/examples/explicitEulerDAE.m @@ -0,0 +1,74 @@ +function sol = explicitEulerDAE(rhs, DifferentialVars, tspan, x0, p, h, newtonOpts) +% explicitEulerDAE - Explicit Euler solver for semi-explicit, index 1 DAEs +% +% Solves: M * x' = f(t,x) by explicit Euler method +% INPUT: +% rhs - function handle: f(t, x, p) +% tspan - [t0 tf] +% x0 - initial state +% p - parameters +% h - step size +% newtonOpts - struct with field +% DifferentialVars - number of differential variables +% OPTIONS: +% maxIter (default 10) +% tol (default 1e-10) +% OUTPUT: +% sol.x - time vector +% sol.y - solution matrix + + % default options + if nargin < 7 + newtonOpts.maxIter = 10; + newtonOpts.tol = 1e-10; + end + + t = tspan(1):h:tspan(2); + N = length(t); + + nx = length(x0); + x = zeros(nx, N); + x(:,1) = x0; + + % calculate dimensions + nd = DifferentialVars; % number of differential variables + na = nx - nd; % number of algebraic variables + + for n = 1:N-1 + f_val = rhs(t(n), x(:,n), p); + x(1:nd, n+1) = x(1:nd, n) + h * f_val(1:nd); + z_guess = x(nd+1:end, n); + + for k = 1:newtonOpts.maxIter + x_trial = [x(1:nd, n+1); z_guess]; + F = rhs(t(n+1), x_trial, p); + g = F(nd+1:end); + J = zeros(na, na); + eps_fd = 1e-8; + + for i = 1:na + dz = zeros(na,1); + dz(i) = eps_fd; + + x_eps = [x(1:nd, n+1); z_guess + dz]; + F_eps = rhs(t(n+1), x_eps, p); + J(:,i) = (F_eps(nd+1:end) - g) / eps_fd; + end + + % Newton step (differential variables) + update = -J \ g; + z_new = z_guess + update; + + if norm(update) < newtonOpts.tol + break; + end + + z_guess = z_new; + end + + x(nd+1:end, n+1) = z_guess; + end + + sol.x = t; + sol.y = x; +end \ No newline at end of file diff --git a/toolbox/examples/rlcExample/rlc_main.m b/toolbox/examples/rlcExample/rlc_main.m index 0e5e5f20..8f50fbb9 100644 --- a/toolbox/examples/rlcExample/rlc_main.m +++ b/toolbox/examples/rlcExample/rlc_main.m @@ -23,24 +23,31 @@ sol_ifdiff = solveODE(datahandle, tspan, x0, p); sol_plain = integrator(@(t, x) rlcRHS(t, x, p), tspan, x0, opts_plain); + +%% Explicit Euler (for comparison) +h = 1e-6; +sol_euler = explicitEulerDAE(@(t,x,p) rlcRHS(t,x,p), 2, tspan, x0, p, h); + %% Plots clf; fig1 = figure(01); subplot(2,1,1); hold on; +Euler_plot_1 = plot(sol_euler.x, sol_euler.y(1,:), 'go--', 'DisplayName', 'Explicit Euler'); Plot_ifdiff_1 = plot(sol_ifdiff.x, sol_ifdiff.y(1,:), 'ro--', 'DisplayName', 'IFDIFF'); Plot_plain_1 = plot(sol_plain.x, sol_plain.y(1,:), 'k.-', 'DisplayName', 'plain ode15s'); -%Switch_plot_1 = xline(sol_ifdiff.switches, 'b', 'LineWidth', 1.0, 'DisplayName', 'Switch'); +Switch_plot_1 = xline(sol_ifdiff.switches, 'b', 'LineWidth', 1.0, 'DisplayName', 'Switch'); ylabel('i_L (A)'); xlabel('Time (s)'); legend(); hold off; subplot(2,1,2); -hold on -Plot_ifdiff_2 = plot(sol_ifdiff.x, sol_ifdiff.y(2,:), 'ro--', 'DisplayName', 'IFDIFF' ); -Plot_plain_2 = plot(sol_plain.x, sol_plain.y(2,:), 'k.-', 'DisplayName', 'plain ode15s'); +hold on; +Euler_plot_2 = plot(sol_euler.x, sol_euler.y(2,:), 'go--', 'DisplayName', 'Explicit Euler'); +Plot_ifdiff_2 = plot(sol_ifdiff.x, sol_ifdiff.y(2,:), 'ro--', 'DisplayName', 'IFDIFF' ); +Plot_plain_2 = plot(sol_plain.x, sol_plain.y(2,:), 'k.-', 'DisplayName', 'plain ode15s'); ylabel('i_C (A) = i_L (A) (via constraint)'); Switch_plot_2 = xline(sol_ifdiff.switches, 'b', 'LineWidth', 1.0, 'DisplayName', 'Switch'); xlabel('Time (s)'); From a1ec8fe40cc3ed810ad272c2e1f93ae09c8a0083 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 23 Apr 2026 20:33:50 +0200 Subject: [PATCH 03/43] Changes in daeExample_main.m --- toolbox/examples/daeExample/daeExample_main.m | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/toolbox/examples/daeExample/daeExample_main.m b/toolbox/examples/daeExample/daeExample_main.m index 47b1f7c5..81ff8f2e 100644 --- a/toolbox/examples/daeExample/daeExample_main.m +++ b/toolbox/examples/daeExample/daeExample_main.m @@ -3,7 +3,7 @@ %% Setup and integration integrator = @ode15s; -x0 = [0.5; -0.5]; +x0 = [1; -1]; tspan = [0 5]; M = [1 0; 0 0]; p = -0.2; @@ -17,7 +17,7 @@ %% Explicit Euler for Comparison h = 1e-6; -sol_euler = explicitEulerDAE(@(t,x,p) rlcRHS(t,x,p), 1, tspan, x0, p, h); +sol_euler = explicitEulerDAE(@(t,x,p) daeExampleRHS(t,x,p), 1, tspan, x0, p, h); %% Plots clf; From 363337cf6d72ad52bc61c1dc2752cd9ac39add24 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 4 May 2026 11:34:41 +0200 Subject: [PATCH 04/43] more work on sensitivities for DAEs --- .../sensitivities_CanonicalExample.m | 4 +- .../daeExample/sensitivities_daeExample.m | 127 ++++++++++++++++-- .../examples/rlcExample/sensitivities_rlc.m | 44 ++++++ .../sensitivities/legacy/getGy_Gp_update.m | 3 +- 4 files changed, 165 insertions(+), 13 deletions(-) create mode 100644 toolbox/examples/rlcExample/sensitivities_rlc.m diff --git a/toolbox/examples/canonicalExample/sensitivities_CanonicalExample.m b/toolbox/examples/canonicalExample/sensitivities_CanonicalExample.m index d8153004..5d6b19ef 100644 --- a/toolbox/examples/canonicalExample/sensitivities_CanonicalExample.m +++ b/toolbox/examples/canonicalExample/sensitivities_CanonicalExample.m @@ -2,7 +2,7 @@ integrator = @ode45; odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); -datahandle = prepareDatahandleForIntegration('canonicalExampleRHS', 'integrator', func2str(integrator), 'options', odeoptionsrhs_test); +datahandle = prepareDatahandleForIntegration('canonicalExampleRHS', 'integrator', integrator, 'options', odeoptionsrhs_test); tspan = [0 20]; initialvalues = [1;0]; @@ -40,7 +40,7 @@ t_plot = 0:0.01:20; %sensitivities_END_plot = sensitivities_function_ENDpiecewise(t_plot); -sensitivities_END_plot = sensitivities_function_VDE(t_plot); +sensitivities_END_plot = sensitivities_function_VDE(t_plot); %correct? sensdata_y11 = arrayfun( @(x) x.Gy(1,1), sensitivities_END_plot); sensdata_y12 = arrayfun( @(x) x.Gy(1,2), sensitivities_END_plot); diff --git a/toolbox/examples/daeExample/sensitivities_daeExample.m b/toolbox/examples/daeExample/sensitivities_daeExample.m index b596ba97..27ade8e1 100644 --- a/toolbox/examples/daeExample/sensitivities_daeExample.m +++ b/toolbox/examples/daeExample/sensitivities_daeExample.m @@ -15,20 +15,127 @@ %% Data for finite differences dim_y = size(sol.y, 1); dim_p = length(p); -FDstep = generateFDstep(dim_y, dim_p, 'hy_rel_flag', true,'hp_rel_flag', true, 'hy_min', 1e-6, 'hp_min', 1e-6); +FDstep = generateFDstep(dim_y, dim_p, 'hy_rel_flag', true,'hp_rel_flag', true, 'hy_min', 1e-3, 'hp_min', 1e-3); %% Generation of sensitivity functions tic; -integrator_options = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); % generateSensitivityFunction doesn't take mass matrix options -sensitivities_function_ENDfull = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_full', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); -sensitivities_function_ENDpiece = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_piecewise', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', false); -sensitivities_function_VDE = generateSensitivityFunction(datahandle, sol, FDstep, 'integrator_options', integrator_options, 'method', 'VDE', 'calcGy', true,'calcGp',false, 'Gmatrices_intermediate', true, 'save_intermediates', false); +integrator_options = odeset('AbsTol', 1e-14,'RelTol', 1e-12, 'MassSingular','no'); +sensitivities_function_ENDfull_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_full', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); +sensitivities_function_ENDpiece_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_piecewise', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); +sensitivities_function_VDE_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'integrator_options', integrator_options, 'method', 'VDE', 'calcGy', true,'calcGp',false, 'Gmatrices_intermediate', true, 'save_intermediates', true); toc; %% Sensitivty calculations -t = [0 3]; +t = [4 5]; tic; -sensitivities_full = sensitivities_function_ENDfull(t); -sensitivities_piece = sensitivities_function_ENDpiece(t); -sensitivities_VDE = sensitivities_function_VDE(t); -toc; \ No newline at end of file +sensitivities_full_DAE = sensitivities_function_ENDfull_DAE(t); +sensitivities_piece_DAE = sensitivities_function_ENDpiece_DAE(t); +sensitivities_VDE_DAE = sensitivities_function_VDE_DAE(t); +toc; + +%% Sensitivities Plots + +t_plot_DAE = 0:0.01:5; +sensitivities_END_plot_DAE = sensitivities_function_ENDfull_DAE(t_plot_DAE); + +sensdata_y11_DAE = arrayfun( @(x) x.Gy(1,1), sensitivities_END_plot_DAE); +sensdata_y12_DAE = arrayfun( @(x) x.Gy(1,2), sensitivities_END_plot_DAE); +sensdata_y21_DAE = arrayfun( @(x) x.Gy(2,1), sensitivities_END_plot_DAE); +sensdata_y22_DAE = arrayfun( @(x) x.Gy(2,2), sensitivities_END_plot_DAE); + + +%{ +figure(1) + +subplot(2,2,1) +hold on +plot(t_plot_DAE, sensdata_y11_DAE, 'b.') +axis([0 3 0 3]) +hold off +xlabel('t'); +ylabel('\partial y_1(t)/\partial y_{0,1}') +title('G_{y,11}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(2,2,2) +hold on +plot(t_plot_DAE, sensdata_y12_DAE, 'b.') +axis([0 3 0 3]) +hold off +xlabel('t'); +ylabel('\partial y_1(t)/\partial y_{0,1}') +title('G_{y,12}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(2,2,3) +hold on +plot(t_plot_DAE, sensdata_y21_DAE, 'b.') +axis([0 3 0 3]) +hold off +xlabel('t'); +ylabel('\partial y_2(t)/\partial y_{0,1}') +title('G_{y,21}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + + +subplot(2,2,4) +hold on +plot(t_plot_DAE, sensdata_y22_DAE, 'b.') +axis([0 3 0 3]) +hold off +xlabel('t'); +ylabel('\partial y_2(t)/\partial y_{0,1}') +title('G_{y,22}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); +figure(1) + +subplot(2,2,1) +hold on +plot(t_plot_DAE, sensdata_y11_DAE, 'b.') +axis([0 20 0 20]) +hold off +xlabel('t'); +ylabel('\partial y_1(t)/\partial y_{0,1}') +title('G_{y,11}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(2,2,2) +hold on +plot(t_plot_DAE, sensdata_y12_DAE, 'b.') +axis([0 20 0 20]) +hold off +xlabel('t'); +ylabel('\partial y_1(t)/\partial y_{0,1}') +title('G_{y,12}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(2,2,3) +hold on +plot(t_plot_DAE, sensdata_y21_DAE, 'b.') +axis([0 20 0 20]) +hold off +xlabel('t'); +ylabel('\partial y_2(t)/\partial y_{0,1}') +title('G_{y,21}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + + +subplot(2,2,4) +hold on +plot(t_plot_DAE, sensdata_y22_DAE, 'b.') +axis([0 3 0 3]) +hold off +xlabel('t'); +ylabel('\partial y_2(t)/\partial y_{0,1}') +title('G_{y,22}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +%} diff --git a/toolbox/examples/rlcExample/sensitivities_rlc.m b/toolbox/examples/rlcExample/sensitivities_rlc.m new file mode 100644 index 00000000..a24e43cb --- /dev/null +++ b/toolbox/examples/rlcExample/sensitivities_rlc.m @@ -0,0 +1,44 @@ +%% RLC Sensitivities + +%% Setup and integration +integrator = @ode15s; +M = diag([1,1,0]); +x0 = [0; 0; 0]; +tspan = [0 5]; + +L = 1.0; +R1 = 5.0; +R2 = 0.1; +C = 1.0; +Vs = 1.0; +Vth = 0.5; +p = [L; R1; R2; C; Vs; Vth]; + +opts_ifdiff = odeset('Mass', M,'AbsTol', 1e-8, 'RelTol', 1e-5); +opts_plain = odeset('Mass', M,'AbsTol', 1e-8, 'RelTol', 1e-5); + +datahandle = prepareDatahandleForIntegration('rlcRHS', 'integrator', integrator, 'options', opts_ifdiff); + +sol_ifdiff = solveODE(datahandle, tspan, x0, p); +sol_plain = integrator(@(t, x) rlcRHS(t, x, p), tspan, x0, opts_plain); + +%% Data for finite differences +dim_y = size(sol.y, 1); +dim_p = length(p); +FDstep = generateFDstep(dim_y, dim_p, 'hy_rel_flag', true,'hp_rel_flag', true, 'hy_min', 1e-3, 'hp_min', 1e-3); + +%% Generation of sensitivity functions +tic; +integrator_options = odeset('AbsTol', 1e-14,'RelTol', 1e-12, 'MassSingular','no'); +sensitivities_function_ENDfull_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_full', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); +sensitivities_function_ENDpiece_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_piecewise', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', false); +sensitivities_function_VDE_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'integrator_options', integrator_options, 'method', 'VDE', 'calcGy', true,'calcGp',false, 'Gmatrices_intermediate', true, 'save_intermediates', false); +toc; + +%% Sensitivty calculations +t = [0 5]; +tic; +sensitivities_full_DAE = sensitivities_function_ENDfull_DAE(t); +sensitivities_piece_DAE = sensitivities_function_ENDpiece_DAE(t); +sensitivities_VDE_DAE = sensitivities_function_VDE_DAE(t); +toc; \ No newline at end of file diff --git a/toolbox/internal/sensitivities/legacy/getGy_Gp_update.m b/toolbox/internal/sensitivities/legacy/getGy_Gp_update.m index c053ff5b..24edc86c 100644 --- a/toolbox/internal/sensitivities/legacy/getGy_Gp_update.m +++ b/toolbox/internal/sensitivities/legacy/getGy_Gp_update.m @@ -40,6 +40,7 @@ data.computeSensitivity.modelStage = startModel; datahandle.setData(data); +dbstop if naninf rhs = getRhsFromModelNum(datahandle, startModel); % Calculate the remaining update matrices for the update formula until modelNum. for i = startModel : (endModel-1) @@ -78,7 +79,7 @@ fplus = rhs(datahandle, ts, yPlus, parameters); % Calculate the updates according to the update formula - Updates.Uy_new{i} = unit + del_jumpy + (fplus - (del_jumpt + (unit+del_jumpy)*fminus)) * del_sigmay / diff_sigmat; + Updates.Uy_new{i} = unit + del_jumpy + (fplus - (del_jumpt + (uni t+del_jumpy)*fminus)) * del_sigmay / diff_sigmat; if Gp_flag del_sigmap = del_f_del_p(datahandle, switchingFunction, tsMinus, yMinus, parameters, h_p); From 708022cbc44aa5797dbfde8d80b9326841731598 Mon Sep 17 00:00:00 2001 From: pilar Date: Tue, 12 May 2026 16:52:15 +0200 Subject: [PATCH 05/43] more tests on DAE sensitivities --- toolbox/examples/daeExample/daeExample_main.m | 2 +- .../examples/daeExample/sensitivities_daeExample.m | 13 ++++++++----- .../internal/sensitivities/legacy/getGy_Gp_update.m | 3 +-- 3 files changed, 10 insertions(+), 8 deletions(-) diff --git a/toolbox/examples/daeExample/daeExample_main.m b/toolbox/examples/daeExample/daeExample_main.m index 81ff8f2e..e70bc09a 100644 --- a/toolbox/examples/daeExample/daeExample_main.m +++ b/toolbox/examples/daeExample/daeExample_main.m @@ -16,7 +16,7 @@ sol_plain = integrator(@(t, x) daeExampleRHS(t, x, p), tspan, x0, opts_plain); %% Explicit Euler for Comparison -h = 1e-6; +h = 1e-5; sol_euler = explicitEulerDAE(@(t,x,p) daeExampleRHS(t,x,p), 1, tspan, x0, p, h); %% Plots diff --git a/toolbox/examples/daeExample/sensitivities_daeExample.m b/toolbox/examples/daeExample/sensitivities_daeExample.m index 27ade8e1..1c9043c5 100644 --- a/toolbox/examples/daeExample/sensitivities_daeExample.m +++ b/toolbox/examples/daeExample/sensitivities_daeExample.m @@ -15,24 +15,27 @@ %% Data for finite differences dim_y = size(sol.y, 1); dim_p = length(p); -FDstep = generateFDstep(dim_y, dim_p, 'hy_rel_flag', true,'hp_rel_flag', true, 'hy_min', 1e-3, 'hp_min', 1e-3); +FDstep = generateFDstep(dim_y, dim_p, 'hy', 10); %% Generation of sensitivity functions tic; -integrator_options = odeset('AbsTol', 1e-14,'RelTol', 1e-12, 'MassSingular','no'); -sensitivities_function_ENDfull_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_full', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); +integrator_options = odeset('AbsTol', 1e-10,'RelTol', 1e-6); +% sensitivities_function_ENDfull_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_full', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); sensitivities_function_ENDpiece_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_piecewise', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); sensitivities_function_VDE_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'integrator_options', integrator_options, 'method', 'VDE', 'calcGy', true,'calcGp',false, 'Gmatrices_intermediate', true, 'save_intermediates', true); toc; %% Sensitivty calculations + + t = [4 5]; tic; -sensitivities_full_DAE = sensitivities_function_ENDfull_DAE(t); +% sensitivities_full_DAE = sensitivities_function_ENDfull_DAE(t); sensitivities_piece_DAE = sensitivities_function_ENDpiece_DAE(t); sensitivities_VDE_DAE = sensitivities_function_VDE_DAE(t); toc; +%{ %% Sensitivities Plots t_plot_DAE = 0:0.01:5; @@ -44,7 +47,6 @@ sensdata_y22_DAE = arrayfun( @(x) x.Gy(2,2), sensitivities_END_plot_DAE); -%{ figure(1) subplot(2,2,1) @@ -139,3 +141,4 @@ set(gca, 'Box', 'off'); %} + diff --git a/toolbox/internal/sensitivities/legacy/getGy_Gp_update.m b/toolbox/internal/sensitivities/legacy/getGy_Gp_update.m index 24edc86c..c053ff5b 100644 --- a/toolbox/internal/sensitivities/legacy/getGy_Gp_update.m +++ b/toolbox/internal/sensitivities/legacy/getGy_Gp_update.m @@ -40,7 +40,6 @@ data.computeSensitivity.modelStage = startModel; datahandle.setData(data); -dbstop if naninf rhs = getRhsFromModelNum(datahandle, startModel); % Calculate the remaining update matrices for the update formula until modelNum. for i = startModel : (endModel-1) @@ -79,7 +78,7 @@ fplus = rhs(datahandle, ts, yPlus, parameters); % Calculate the updates according to the update formula - Updates.Uy_new{i} = unit + del_jumpy + (fplus - (del_jumpt + (uni t+del_jumpy)*fminus)) * del_sigmay / diff_sigmat; + Updates.Uy_new{i} = unit + del_jumpy + (fplus - (del_jumpt + (unit+del_jumpy)*fminus)) * del_sigmay / diff_sigmat; if Gp_flag del_sigmap = del_f_del_p(datahandle, switchingFunction, tsMinus, yMinus, parameters, h_p); From 879ab835aea4787fff581660ef0daa17664d6f6d Mon Sep 17 00:00:00 2001 From: pilar Date: Wed, 27 May 2026 10:20:09 +0200 Subject: [PATCH 06/43] Reworked DAE example with non-linear constraint --- ...eExampleRHS.m => daeExampleRHS_reworked.m} | 13 ++++--- toolbox/examples/daeExample/daeExample_main.m | 30 ---------------- .../daeExample/daeExample_reworked_main.m | 34 +++++++++++++++++++ 3 files changed, 42 insertions(+), 35 deletions(-) rename toolbox/examples/daeExample/{daeExampleRHS.m => daeExampleRHS_reworked.m} (53%) delete mode 100644 toolbox/examples/daeExample/daeExample_main.m create mode 100644 toolbox/examples/daeExample/daeExample_reworked_main.m diff --git a/toolbox/examples/daeExample/daeExampleRHS.m b/toolbox/examples/daeExample/daeExampleRHS_reworked.m similarity index 53% rename from toolbox/examples/daeExample/daeExampleRHS.m rename to toolbox/examples/daeExample/daeExampleRHS_reworked.m index a13027ed..e86594a3 100644 --- a/toolbox/examples/daeExample/daeExampleRHS.m +++ b/toolbox/examples/daeExample/daeExampleRHS_reworked.m @@ -1,13 +1,16 @@ -function f = daeExampleRHS(~, x, p) - +function f = daeExampleRHS_reworked(~, x, p) + f = zeros(2,1); + % algebraic constraint - z = x(1) + x(2); + z = x(1) + x(2) + x(2)^3 - p; f(2) = z; - % differential variables + + % differential equation if x(2) < p f(1) = x(2); else f(1) = 0; end -end + +end \ No newline at end of file diff --git a/toolbox/examples/daeExample/daeExample_main.m b/toolbox/examples/daeExample/daeExample_main.m deleted file mode 100644 index e70bc09a..00000000 --- a/toolbox/examples/daeExample/daeExample_main.m +++ /dev/null @@ -1,30 +0,0 @@ -% DAE Example Main -% for more details, see daeExample_README.md - -%% Setup and integration -integrator = @ode15s; -x0 = [1; -1]; -tspan = [0 5]; -M = [1 0; 0 0]; -p = -0.2; - -opts_ifdiff = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-9,'RelTol', 1e-6); -opts_plain = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-9, 'RelTol', 1e-6); - -datahandle = prepareDatahandleForIntegration('daeExampleRHS', 'integrator', integrator, 'options', opts_ifdiff); -sol_ifdiff = solveODE(datahandle, tspan, x0, p); -sol_plain = integrator(@(t, x) daeExampleRHS(t, x, p), tspan, x0, opts_plain); - -%% Explicit Euler for Comparison -h = 1e-5; -sol_euler = explicitEulerDAE(@(t,x,p) daeExampleRHS(t,x,p), 1, tspan, x0, p, h); - -%% Plots -clf; -fig1 = figure(01); -hold on; -IFDIFF_plot_1 = plot(sol_ifdiff.x, sol_ifdiff.y, 'ro--', 'DisplayName', 'IFDIFF'); -Plain_plot_1 = plot(sol_plain.x, sol_plain.y, 'ko-', 'DisplayName', 'plain ode15s'); -Switch_plot = xline(sol_ifdiff.switches, 'b', 'LineWidth', 1.0, 'DisplayName', 'Switch'); -legend([Plain_plot_1(1), IFDIFF_plot_1(1), Switch_plot]); -hold off; diff --git a/toolbox/examples/daeExample/daeExample_reworked_main.m b/toolbox/examples/daeExample/daeExample_reworked_main.m new file mode 100644 index 00000000..ae1474b2 --- /dev/null +++ b/toolbox/examples/daeExample/daeExample_reworked_main.m @@ -0,0 +1,34 @@ +% DAE Example Main +% for more details, see ... + +%% Setup and integration +integrator = @ode15s; +p = -0.4; % -1 < p < 0 +x0 = [1; -1+p]; % 1+p to guarantee consistent initial cond. +t0 = 0; +tf = 5; +tspan = [t0 tf]; +M = [1 0; 0 0]; + +opts_ifdiff = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-8,'RelTol', 1e-6); +opts_plain = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-6, 'RelTol', 1e-3); + +sol_plain = integrator(@(t, x) daeExampleRHS_reworked(t, x, p), tspan, x0, opts_plain); + +datahandle = prepareDatahandleForIntegration('daeExampleRHS_reworked', 'integrator', integrator, 'options', opts_ifdiff); +sol_ifdiff = solveODE(datahandle, tspan, x0, p); + +%% Expl. Euler comparision +h = 1e-4; +sol_euler = explicitEulerDAE(@(t,x,p) daeExampleRHS_reworked(t,x,p), 1, tspan, x0, p, h); + +%% Plots +clf; +fig2 = figure(01); +hold on; +Euler_plot = plot(sol_euler.x, sol_euler.y, 'g*--', 'DisplayName', 'Euler'); +IFDIFF_plot = plot(sol_ifdiff.x, sol_ifdiff.y, 'ro--', 'DisplayName', 'IFDIFF'); +Plain_plot = plot(sol_plain.x, sol_plain.y, 'ko-', 'DisplayName', 'plain ode15s'); +Switch_plot = xline(sol_ifdiff.switches, 'b', 'LineWidth', 1.0, 'DisplayName', 'Switch'); +legend([Plain_plot(1), IFDIFF_plot(1), Euler_plot(1), Switch_plot ]); +hold off; \ No newline at end of file From bb766d6868c63672e5e37b98115f5ab11dff3522 Mon Sep 17 00:00:00 2001 From: pilar Date: Wed, 27 May 2026 10:25:30 +0200 Subject: [PATCH 07/43] Reworked DAE example with non-linear constraint --- toolbox/examples/daeExample/daeExampleRHS_reworked.m | 2 +- toolbox/examples/daeExample/daeExample_reworked_main.m | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/toolbox/examples/daeExample/daeExampleRHS_reworked.m b/toolbox/examples/daeExample/daeExampleRHS_reworked.m index e86594a3..b5934824 100644 --- a/toolbox/examples/daeExample/daeExampleRHS_reworked.m +++ b/toolbox/examples/daeExample/daeExampleRHS_reworked.m @@ -1,5 +1,5 @@ function f = daeExampleRHS_reworked(~, x, p) - + % f = zeros(2,1); % algebraic constraint diff --git a/toolbox/examples/daeExample/daeExample_reworked_main.m b/toolbox/examples/daeExample/daeExample_reworked_main.m index ae1474b2..c7bd6b09 100644 --- a/toolbox/examples/daeExample/daeExample_reworked_main.m +++ b/toolbox/examples/daeExample/daeExample_reworked_main.m @@ -1,5 +1,5 @@ % DAE Example Main -% for more details, see ... +% for more details, see [new README missing] %% Setup and integration integrator = @ode15s; From 065b2fb46bb39a5a76646a18cd8927129f7666d8 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 28 May 2026 14:33:22 +0200 Subject: [PATCH 08/43] restructured folders for DAE examples --- .../daeExample/daeExampleRHS_reworked.m | 0 .../daeExample/daeExample_README.md | 0 .../daeExample/daeExample_reworked_main.m | 0 .../daeExample/plots_daeExample/plot1.png | Bin .../daeExample/plots_daeExample/plot1_close.png | Bin .../daeExample/sensitivities_daeExample.m | 0 .../examples/{ => daeExamples}/explicitEulerDAE.m | 0 .../rlcExample/plots_rlc/rlc_plot.png | Bin .../rlcExample/plots_rlc/rlc_plot_close.png | Bin .../rlcExample/rlcExample_README.md | 0 .../examples/{ => daeExamples}/rlcExample/rlcRHS.m | 0 .../{ => daeExamples}/rlcExample/rlc_main.m | 0 .../rlcExample/sensitivities_rlc.m | 0 13 files changed, 0 insertions(+), 0 deletions(-) rename toolbox/examples/{ => daeExamples}/daeExample/daeExampleRHS_reworked.m (100%) rename toolbox/examples/{ => daeExamples}/daeExample/daeExample_README.md (100%) rename toolbox/examples/{ => daeExamples}/daeExample/daeExample_reworked_main.m (100%) rename toolbox/examples/{ => daeExamples}/daeExample/plots_daeExample/plot1.png (100%) rename toolbox/examples/{ => daeExamples}/daeExample/plots_daeExample/plot1_close.png (100%) rename toolbox/examples/{ => daeExamples}/daeExample/sensitivities_daeExample.m (100%) rename toolbox/examples/{ => daeExamples}/explicitEulerDAE.m (100%) rename toolbox/examples/{ => daeExamples}/rlcExample/plots_rlc/rlc_plot.png (100%) rename toolbox/examples/{ => daeExamples}/rlcExample/plots_rlc/rlc_plot_close.png (100%) rename toolbox/examples/{ => daeExamples}/rlcExample/rlcExample_README.md (100%) rename toolbox/examples/{ => daeExamples}/rlcExample/rlcRHS.m (100%) rename toolbox/examples/{ => daeExamples}/rlcExample/rlc_main.m (100%) rename toolbox/examples/{ => daeExamples}/rlcExample/sensitivities_rlc.m (100%) diff --git a/toolbox/examples/daeExample/daeExampleRHS_reworked.m b/toolbox/examples/daeExamples/daeExample/daeExampleRHS_reworked.m similarity index 100% rename from toolbox/examples/daeExample/daeExampleRHS_reworked.m rename to toolbox/examples/daeExamples/daeExample/daeExampleRHS_reworked.m diff --git a/toolbox/examples/daeExample/daeExample_README.md b/toolbox/examples/daeExamples/daeExample/daeExample_README.md similarity index 100% rename from toolbox/examples/daeExample/daeExample_README.md rename to toolbox/examples/daeExamples/daeExample/daeExample_README.md diff --git a/toolbox/examples/daeExample/daeExample_reworked_main.m b/toolbox/examples/daeExamples/daeExample/daeExample_reworked_main.m similarity index 100% rename from toolbox/examples/daeExample/daeExample_reworked_main.m rename to toolbox/examples/daeExamples/daeExample/daeExample_reworked_main.m diff --git a/toolbox/examples/daeExample/plots_daeExample/plot1.png b/toolbox/examples/daeExamples/daeExample/plots_daeExample/plot1.png similarity index 100% rename from toolbox/examples/daeExample/plots_daeExample/plot1.png rename to toolbox/examples/daeExamples/daeExample/plots_daeExample/plot1.png diff --git a/toolbox/examples/daeExample/plots_daeExample/plot1_close.png b/toolbox/examples/daeExamples/daeExample/plots_daeExample/plot1_close.png similarity index 100% rename from toolbox/examples/daeExample/plots_daeExample/plot1_close.png rename to toolbox/examples/daeExamples/daeExample/plots_daeExample/plot1_close.png diff --git a/toolbox/examples/daeExample/sensitivities_daeExample.m b/toolbox/examples/daeExamples/daeExample/sensitivities_daeExample.m similarity index 100% rename from toolbox/examples/daeExample/sensitivities_daeExample.m rename to toolbox/examples/daeExamples/daeExample/sensitivities_daeExample.m diff --git a/toolbox/examples/explicitEulerDAE.m b/toolbox/examples/daeExamples/explicitEulerDAE.m similarity index 100% rename from toolbox/examples/explicitEulerDAE.m rename to toolbox/examples/daeExamples/explicitEulerDAE.m diff --git a/toolbox/examples/rlcExample/plots_rlc/rlc_plot.png b/toolbox/examples/daeExamples/rlcExample/plots_rlc/rlc_plot.png similarity index 100% rename from toolbox/examples/rlcExample/plots_rlc/rlc_plot.png rename to toolbox/examples/daeExamples/rlcExample/plots_rlc/rlc_plot.png diff --git a/toolbox/examples/rlcExample/plots_rlc/rlc_plot_close.png b/toolbox/examples/daeExamples/rlcExample/plots_rlc/rlc_plot_close.png similarity index 100% rename from toolbox/examples/rlcExample/plots_rlc/rlc_plot_close.png rename to toolbox/examples/daeExamples/rlcExample/plots_rlc/rlc_plot_close.png diff --git a/toolbox/examples/rlcExample/rlcExample_README.md b/toolbox/examples/daeExamples/rlcExample/rlcExample_README.md similarity index 100% rename from toolbox/examples/rlcExample/rlcExample_README.md rename to toolbox/examples/daeExamples/rlcExample/rlcExample_README.md diff --git a/toolbox/examples/rlcExample/rlcRHS.m b/toolbox/examples/daeExamples/rlcExample/rlcRHS.m similarity index 100% rename from toolbox/examples/rlcExample/rlcRHS.m rename to toolbox/examples/daeExamples/rlcExample/rlcRHS.m diff --git a/toolbox/examples/rlcExample/rlc_main.m b/toolbox/examples/daeExamples/rlcExample/rlc_main.m similarity index 100% rename from toolbox/examples/rlcExample/rlc_main.m rename to toolbox/examples/daeExamples/rlcExample/rlc_main.m diff --git a/toolbox/examples/rlcExample/sensitivities_rlc.m b/toolbox/examples/daeExamples/rlcExample/sensitivities_rlc.m similarity index 100% rename from toolbox/examples/rlcExample/sensitivities_rlc.m rename to toolbox/examples/daeExamples/rlcExample/sensitivities_rlc.m From ee4bf5de70cbf126f127d0d975acdb01d1dd85d3 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 28 May 2026 15:27:58 +0200 Subject: [PATCH 09/43] rename in bounceball example and canonical example --- .../{bounceball_rhs.m => rhs_bounceball.m} | 2 +- .../{bounceball_test.m => run_bounceball.m} | 4 ++-- ...xample_naive.m => naiveCanonicalExample.m} | 4 ++-- ...ed.m => reformulatedCanonicalExampleRHS.m} | 2 +- ...alyticSolution.m => rhsAnalyticSolution.m} | 2 +- ...icalExampleRHS.m => rhsCanonicalExample.m} | 2 +- ...tended.m => rhsExtendedCanonicalExample.m} | 2 +- ...icalSolution.m => runAnalyticalSolution.m} | 4 ++-- ...xampleRHS_test.m => runCanonicalExample.m} | 21 +++++++++---------- ...d_test.m => runExtendedCanonicalExample.m} | 0 ...onicalExample.m => sensCanonicalExample.m} | 0 11 files changed, 21 insertions(+), 22 deletions(-) rename toolbox/examples/bounceball/{bounceball_rhs.m => rhs_bounceball.m} (94%) rename toolbox/examples/bounceball/{bounceball_test.m => run_bounceball.m} (92%) rename toolbox/examples/canonicalExample/{canonicalExample_naive.m => naiveCanonicalExample.m} (86%) rename toolbox/examples/canonicalExample/{canonicalExampleRHS_reformulated.m => reformulatedCanonicalExampleRHS.m} (76%) rename toolbox/examples/canonicalExample/{canonicalExampleAnalyticSolution.m => rhsAnalyticSolution.m} (99%) rename toolbox/examples/canonicalExample/{canonicalExampleRHS.m => rhsCanonicalExample.m} (81%) rename toolbox/examples/canonicalExample/{canonicalExampleRHS_extended.m => rhsExtendedCanonicalExample.m} (92%) rename toolbox/examples/canonicalExample/{analyticalSolution.m => runAnalyticalSolution.m} (90%) rename toolbox/examples/canonicalExample/{canonicalExampleRHS_test.m => runCanonicalExample.m} (94%) rename toolbox/examples/canonicalExample/{canonicalExampleRHS_extended_test.m => runExtendedCanonicalExample.m} (100%) rename toolbox/examples/canonicalExample/{sensitivities_CanonicalExample.m => sensCanonicalExample.m} (100%) diff --git a/toolbox/examples/bounceball/bounceball_rhs.m b/toolbox/examples/bounceball/rhs_bounceball.m similarity index 94% rename from toolbox/examples/bounceball/bounceball_rhs.m rename to toolbox/examples/bounceball/rhs_bounceball.m index 72a94a62..a1073942 100644 --- a/toolbox/examples/bounceball/bounceball_rhs.m +++ b/toolbox/examples/bounceball/rhs_bounceball.m @@ -1,4 +1,4 @@ -function dx = bounceball_rhs(t, x, p) +function dx = rhs_bounceball(t, x, p) % t: time % x: state % p: parameter vector diff --git a/toolbox/examples/bounceball/bounceball_test.m b/toolbox/examples/bounceball/run_bounceball.m similarity index 92% rename from toolbox/examples/bounceball/bounceball_test.m rename to toolbox/examples/bounceball/run_bounceball.m index 77849414..5a5b4a8f 100644 --- a/toolbox/examples/bounceball/bounceball_test.m +++ b/toolbox/examples/bounceball/run_bounceball.m @@ -7,9 +7,9 @@ fprintf('Preprocessing...\n '); odeoptions = odeset( 'AbsTol', 1e-14, 'RelTol', 1e-12); -filename = 'bounceball_rhs'; +filename = 'rhs_bounceball'; tic -handlerhs_test = prepareDatahandleForIntegration(filename, 'integrator', func2str(integrator), 'options', odeoptions); +handlerhs_test = prepareDatahandleForIntegration(filename, 'integrator', integrator, 'options', odeoptions); toc fprintf('Integration with ifdiff/%s...\n ', func2str(integrator)); diff --git a/toolbox/examples/canonicalExample/canonicalExample_naive.m b/toolbox/examples/canonicalExample/naiveCanonicalExample.m similarity index 86% rename from toolbox/examples/canonicalExample/canonicalExample_naive.m rename to toolbox/examples/canonicalExample/naiveCanonicalExample.m index 730dce7d..c6cda68e 100644 --- a/toolbox/examples/canonicalExample/canonicalExample_naive.m +++ b/toolbox/examples/canonicalExample/naiveCanonicalExample.m @@ -13,11 +13,11 @@ % integrate fprintf('Integrating ...') tic -sol = integrator(@(t,x) canonicalExampleRHS(t,x,p), tspan, y0, options); +sol = integrator(@(t,x) rhsCanonicalExample(t,x,p), tspan, y0, options); toc fprintf('Integrating with limited step size...') tic -soltrue = integrator(@(t,x) canonicalExampleRHS(t,x,p), tspan, y0, optionsExact); +soltrue = integrator(@(t,x) rhsCanonicalExample(t,x,p), tspan, y0, optionsExact); toc % evaluate solution diff --git a/toolbox/examples/canonicalExample/canonicalExampleRHS_reformulated.m b/toolbox/examples/canonicalExample/reformulatedCanonicalExampleRHS.m similarity index 76% rename from toolbox/examples/canonicalExample/canonicalExampleRHS_reformulated.m rename to toolbox/examples/canonicalExample/reformulatedCanonicalExampleRHS.m index df405751..30b33d50 100644 --- a/toolbox/examples/canonicalExample/canonicalExampleRHS_reformulated.m +++ b/toolbox/examples/canonicalExample/reformulatedCanonicalExampleRHS.m @@ -1,4 +1,4 @@ -function dx = canonicalExampleRHS_reformulated(t,x,p) +function dx = reformulatedCanonicalExampleRHS(t,x,p) dx = zeros(2,1); dx(1) = 0.01 * t.^2 + x(2).^3; diff --git a/toolbox/examples/canonicalExample/canonicalExampleAnalyticSolution.m b/toolbox/examples/canonicalExample/rhsAnalyticSolution.m similarity index 99% rename from toolbox/examples/canonicalExample/canonicalExampleAnalyticSolution.m rename to toolbox/examples/canonicalExample/rhsAnalyticSolution.m index 77237550..25e8781d 100644 --- a/toolbox/examples/canonicalExample/canonicalExampleAnalyticSolution.m +++ b/toolbox/examples/canonicalExample/rhsAnalyticSolution.m @@ -1,4 +1,4 @@ -function [funcSolPiecewise, tSwitch, switchingFunc, varargout] = canonicalExampleAnalyticSolution() +function [funcSolPiecewise, tSwitch, switchingFunc, varargout] = rhsAnalyticSolution() %[funcSolPiecewise, tSwitch, switchingFunc, varargout] = CANONICALEXAMPLEANALYTICSOLUTION() %[funcSolPiecewise, tSwitch, switchingFunc, t0, y0, p] = CANONICALEXAMPLEANALYTICSOLUTION() % diff --git a/toolbox/examples/canonicalExample/canonicalExampleRHS.m b/toolbox/examples/canonicalExample/rhsCanonicalExample.m similarity index 81% rename from toolbox/examples/canonicalExample/canonicalExampleRHS.m rename to toolbox/examples/canonicalExample/rhsCanonicalExample.m index 28f0344d..49996635 100644 --- a/toolbox/examples/canonicalExample/canonicalExampleRHS.m +++ b/toolbox/examples/canonicalExample/rhsCanonicalExample.m @@ -1,4 +1,4 @@ -function dx = canonicalExampleRHS(t,x,p) +function dx = rhsCanonicalExample(t,x,p) dx = zeros(2,1); dx(1) = 0.01 * t.^2 + x(2).^3; diff --git a/toolbox/examples/canonicalExample/canonicalExampleRHS_extended.m b/toolbox/examples/canonicalExample/rhsExtendedCanonicalExample.m similarity index 92% rename from toolbox/examples/canonicalExample/canonicalExampleRHS_extended.m rename to toolbox/examples/canonicalExample/rhsExtendedCanonicalExample.m index 9b76bf59..4da017fb 100644 --- a/toolbox/examples/canonicalExample/canonicalExampleRHS_extended.m +++ b/toolbox/examples/canonicalExample/rhsExtendedCanonicalExample.m @@ -1,4 +1,4 @@ -function dx = canonicalExampleRHS_extended(t,x,p) +function dx = rhsExtendedCanonicalExample(t,x,p) dx = zeros(2,1); %dx(1) = 0.01 * t.^2 + x(2).^2; dx(1) = 0.01*t + x(2); diff --git a/toolbox/examples/canonicalExample/analyticalSolution.m b/toolbox/examples/canonicalExample/runAnalyticalSolution.m similarity index 90% rename from toolbox/examples/canonicalExample/analyticalSolution.m rename to toolbox/examples/canonicalExample/runAnalyticalSolution.m index b3461fb9..92fca3bf 100644 --- a/toolbox/examples/canonicalExample/analyticalSolution.m +++ b/toolbox/examples/canonicalExample/runAnalyticalSolution.m @@ -3,7 +3,7 @@ tPlotStep = 0.01; %% Analytical solution -[solTrue, switches, switchingFunctions, t0, y0, p] = canonicalExampleAnalyticSolution; +[solTrue, switches, switchingFunctions, t0, y0, p] = rhsAnalyticSolution; tspan = [t0, tf]; tPlot = t0:tPlotStep:tf; @@ -26,7 +26,7 @@ %% Solution ifdiff integrator = @ode45; odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); -datahandle = prepareDatahandleForIntegration('canonicalExampleRHS', 'integrator', func2str(integrator), 'options', odeoptionsrhs_test); +datahandle = prepareDatahandleForIntegration('rhsCanonicalExample', 'integrator', integrator, 'options', odeoptionsrhs_test); sol = solveODE(datahandle, tspan, y0, p); %% Plot analytical solution vs. ifdiff diff --git a/toolbox/examples/canonicalExample/canonicalExampleRHS_test.m b/toolbox/examples/canonicalExample/runCanonicalExample.m similarity index 94% rename from toolbox/examples/canonicalExample/canonicalExampleRHS_test.m rename to toolbox/examples/canonicalExample/runCanonicalExample.m index 3771a592..91d03a5b 100644 --- a/toolbox/examples/canonicalExample/canonicalExampleRHS_test.m +++ b/toolbox/examples/canonicalExample/runCanonicalExample.m @@ -4,13 +4,19 @@ timeinterval = [t0,tf]; initstates = [1 0 ]; p = 5.437; +odeoptions = odeset( 'AbsTol', 1e-20, 'RelTol', 1e-12); + +%% +fprintf('Integration with %s...\n ', func2str(integrator)); +th = tic(); +sol_matlab = integrator(@(t,x) rhsCanonicalExample(t,x,p), timeinterval, initstates, odeoptions); +time_matlab = toc(th); fprintf('Took %g seconds\n', time_matlab); %% fprintf('Preprocessing...\n '); -odeoptions = odeset( 'AbsTol', 1e-20, 'RelTol', 1e-12); -filename = 'canonicalExampleRHS'; +filename = 'rhsCanonicalExample'; th = tic(); -dhandle = prepareDatahandleForIntegration(filename, 'integrator', func2str(integrator), 'options', odeoptions); +dhandle = prepareDatahandleForIntegration(filename, 'integrator', integrator, 'options', odeoptions); time_prepare = toc(th); fprintf('Took %g seconds\n', time_prepare); %% @@ -19,13 +25,6 @@ sol_ifdiff = solveODE(dhandle, timeinterval, initstates, p); time_ifdiff = toc(th); fprintf('Took %g seconds\n', time_ifdiff); -%% -fprintf('Integration with %s...\n ', func2str(integrator)); -th = tic(); -sol_matlab = integrator(@(t,x) canonicalExampleRHS(t,x,p), timeinterval, initstates, odeoptions); -time_matlab = toc(th); fprintf('Took %g seconds\n', time_matlab); - - %% % do explicit euler integration fprintf('AccurateEuler integration...\n '); @@ -38,7 +37,7 @@ dt = (tf-t0) / N_euler; % time increment for k = 1:N_euler T(k+1) = t0 + k*dt; - X(:,k+1) = X(:,k) + dt * canonicalExampleRHS(T(k), X(:,k), p); + X(:,k+1) = X(:,k) + dt * rhsCanonicalExample(T(k), X(:,k), p); end time_euler = toc(th); fprintf('Took %g seconds\n', time_euler); skipper = floor(N_euler/1000); diff --git a/toolbox/examples/canonicalExample/canonicalExampleRHS_extended_test.m b/toolbox/examples/canonicalExample/runExtendedCanonicalExample.m similarity index 100% rename from toolbox/examples/canonicalExample/canonicalExampleRHS_extended_test.m rename to toolbox/examples/canonicalExample/runExtendedCanonicalExample.m diff --git a/toolbox/examples/canonicalExample/sensitivities_CanonicalExample.m b/toolbox/examples/canonicalExample/sensCanonicalExample.m similarity index 100% rename from toolbox/examples/canonicalExample/sensitivities_CanonicalExample.m rename to toolbox/examples/canonicalExample/sensCanonicalExample.m From b55cd3ddb1d3dc2ee69bac7869dc1ae8d24ddc1b Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 28 May 2026 15:29:04 +0200 Subject: [PATCH 10/43] rename in bounceball --- .../examples/bounceball/{rhs_bounceball.m => rhsBounceball.m} | 2 +- .../examples/bounceball/{run_bounceball.m => runBounceball.m} | 0 2 files changed, 1 insertion(+), 1 deletion(-) rename toolbox/examples/bounceball/{rhs_bounceball.m => rhsBounceball.m} (94%) rename toolbox/examples/bounceball/{run_bounceball.m => runBounceball.m} (100%) diff --git a/toolbox/examples/bounceball/rhs_bounceball.m b/toolbox/examples/bounceball/rhsBounceball.m similarity index 94% rename from toolbox/examples/bounceball/rhs_bounceball.m rename to toolbox/examples/bounceball/rhsBounceball.m index a1073942..0a88140a 100644 --- a/toolbox/examples/bounceball/rhs_bounceball.m +++ b/toolbox/examples/bounceball/rhsBounceball.m @@ -1,4 +1,4 @@ -function dx = rhs_bounceball(t, x, p) +function dx = rhsBounceball(t, x, p) % t: time % x: state % p: parameter vector diff --git a/toolbox/examples/bounceball/run_bounceball.m b/toolbox/examples/bounceball/runBounceball.m similarity index 100% rename from toolbox/examples/bounceball/run_bounceball.m rename to toolbox/examples/bounceball/runBounceball.m From d90fa9c500f4e15618725c4feceec45000efbc23 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 28 May 2026 15:54:47 +0200 Subject: [PATCH 11/43] rename in coulomb example and dae Examples, added comments in explicitEulerDAE --- .../coulomb/{coulomb_rhs.m => rhsCoulomb.m} | 2 +- .../coulomb/{coulomb_test.m => runCoulomb.m} | 4 +- .../README_DaeExample.md} | 4 +- .../plotsDaeExample}/plot1.png | Bin .../plotsDaeExample}/plot1_close.png | Bin .../rhsDaeExample.m} | 2 +- .../runDaeExample.m} | 6 +- .../daeExample/sensitivities_daeExample.m | 144 ------------------ .../examples/daeExamples/explicitEulerDAE.m | 3 +- .../{plots_rlc => plotsRLC}/rlc_plot.png | Bin .../rlc_plot_close.png | Bin .../rlcExample/{rlcRHS.m => rhsRLC.m} | 2 +- .../rlcExample/{rlc_main.m => runRLC.m} | 8 +- .../rlcExample/sensitivities_rlc.m | 44 ------ 14 files changed, 16 insertions(+), 203 deletions(-) rename toolbox/examples/coulomb/{coulomb_rhs.m => rhsCoulomb.m} (96%) rename toolbox/examples/coulomb/{coulomb_test.m => runCoulomb.m} (93%) rename toolbox/examples/daeExamples/{daeExample/daeExample_README.md => acadamicDaeExample/README_DaeExample.md} (98%) rename toolbox/examples/daeExamples/{daeExample/plots_daeExample => acadamicDaeExample/plotsDaeExample}/plot1.png (100%) rename toolbox/examples/daeExamples/{daeExample/plots_daeExample => acadamicDaeExample/plotsDaeExample}/plot1_close.png (100%) rename toolbox/examples/daeExamples/{daeExample/daeExampleRHS_reworked.m => acadamicDaeExample/rhsDaeExample.m} (82%) rename toolbox/examples/daeExamples/{daeExample/daeExample_reworked_main.m => acadamicDaeExample/runDaeExample.m} (77%) delete mode 100644 toolbox/examples/daeExamples/daeExample/sensitivities_daeExample.m rename toolbox/examples/daeExamples/rlcExample/{plots_rlc => plotsRLC}/rlc_plot.png (100%) rename toolbox/examples/daeExamples/rlcExample/{plots_rlc => plotsRLC}/rlc_plot_close.png (100%) rename toolbox/examples/daeExamples/rlcExample/{rlcRHS.m => rhsRLC.m} (91%) rename toolbox/examples/daeExamples/rlcExample/{rlc_main.m => runRLC.m} (88%) delete mode 100644 toolbox/examples/daeExamples/rlcExample/sensitivities_rlc.m diff --git a/toolbox/examples/coulomb/coulomb_rhs.m b/toolbox/examples/coulomb/rhsCoulomb.m similarity index 96% rename from toolbox/examples/coulomb/coulomb_rhs.m rename to toolbox/examples/coulomb/rhsCoulomb.m index 8f1dda00..b36d2d6f 100644 --- a/toolbox/examples/coulomb/coulomb_rhs.m +++ b/toolbox/examples/coulomb/rhsCoulomb.m @@ -1,4 +1,4 @@ -function dx = coulomb_rhs(t,x,U) +function dx = rhsCoulomb(t,x,U) % INPUT: t - time % x - state % U - function handle of one variable (time) [voltage] diff --git a/toolbox/examples/coulomb/coulomb_test.m b/toolbox/examples/coulomb/runCoulomb.m similarity index 93% rename from toolbox/examples/coulomb/coulomb_test.m rename to toolbox/examples/coulomb/runCoulomb.m index 83814dc4..85cf5bf1 100644 --- a/toolbox/examples/coulomb/coulomb_test.m +++ b/toolbox/examples/coulomb/runCoulomb.m @@ -32,7 +32,7 @@ dt = (times.tf - times.t0) / Neuler; % time increment for k = 1:Neuler T(k+1) = times.t0 + k*dt; - X(:,k+1) = X(:,k) + dt * coulomb_rhs(T(k), X(:,k), Ufun); + X(:,k+1) = X(:,k) + dt * rhsCoulomb(T(k), X(:,k), Ufun); %if k > 10; break; end end fprintf('Euler integration took %g seconds.\n', toc()); @@ -43,7 +43,7 @@ % try with ode-solver odesolver = @ode15s; tic -sol = odesolver(@(t,x) coulomb_rhs(t,x,@U_umax3), [times.t0, times.tf], x0); +sol = odesolver(@(t,x) rhsCoulomb(t,x,@U_umax3), [times.t0, times.tf], x0); fprintf('%s integration took %g seconds.\n', func2str(odesolver), toc()); Tode = Teuler; Xode = deval(sol, Tode); diff --git a/toolbox/examples/daeExamples/daeExample/daeExample_README.md b/toolbox/examples/daeExamples/acadamicDaeExample/README_DaeExample.md similarity index 98% rename from toolbox/examples/daeExamples/daeExample/daeExample_README.md rename to toolbox/examples/daeExamples/acadamicDaeExample/README_DaeExample.md index 07c980ef..4afb48b7 100644 --- a/toolbox/examples/daeExamples/daeExample/daeExample_README.md +++ b/toolbox/examples/daeExamples/acadamicDaeExample/README_DaeExample.md @@ -123,12 +123,12 @@ legend([Plain_plot_1(1), IFDIFF_plot_1(1), Switch_plot]); hold off ``` -![](plots_daeExample/plot1.png) +![](plotsDaeExample/plot1.png) We notice that the integrator strategy results in small steps here for the plain solver as well as IFDIFF. This is standard behavior for `ode15s` which is a multi-step method; it is not a defect caused by improper treatment of switching events. However, if we take a closer look, we see that the integration with IFDIFF is accurate around the switching point. -![](plots_daeExample/plot1_close.png) +![](plotsDaeExample/plot1_close.png) ## Additional Content diff --git a/toolbox/examples/daeExamples/daeExample/plots_daeExample/plot1.png b/toolbox/examples/daeExamples/acadamicDaeExample/plotsDaeExample/plot1.png similarity index 100% rename from toolbox/examples/daeExamples/daeExample/plots_daeExample/plot1.png rename to toolbox/examples/daeExamples/acadamicDaeExample/plotsDaeExample/plot1.png diff --git a/toolbox/examples/daeExamples/daeExample/plots_daeExample/plot1_close.png b/toolbox/examples/daeExamples/acadamicDaeExample/plotsDaeExample/plot1_close.png similarity index 100% rename from toolbox/examples/daeExamples/daeExample/plots_daeExample/plot1_close.png rename to toolbox/examples/daeExamples/acadamicDaeExample/plotsDaeExample/plot1_close.png diff --git a/toolbox/examples/daeExamples/daeExample/daeExampleRHS_reworked.m b/toolbox/examples/daeExamples/acadamicDaeExample/rhsDaeExample.m similarity index 82% rename from toolbox/examples/daeExamples/daeExample/daeExampleRHS_reworked.m rename to toolbox/examples/daeExamples/acadamicDaeExample/rhsDaeExample.m index b5934824..4b294305 100644 --- a/toolbox/examples/daeExamples/daeExample/daeExampleRHS_reworked.m +++ b/toolbox/examples/daeExamples/acadamicDaeExample/rhsDaeExample.m @@ -1,4 +1,4 @@ -function f = daeExampleRHS_reworked(~, x, p) +function f = rhsDaeExample(~, x, p) % f = zeros(2,1); diff --git a/toolbox/examples/daeExamples/daeExample/daeExample_reworked_main.m b/toolbox/examples/daeExamples/acadamicDaeExample/runDaeExample.m similarity index 77% rename from toolbox/examples/daeExamples/daeExample/daeExample_reworked_main.m rename to toolbox/examples/daeExamples/acadamicDaeExample/runDaeExample.m index c7bd6b09..26cd65a8 100644 --- a/toolbox/examples/daeExamples/daeExample/daeExample_reworked_main.m +++ b/toolbox/examples/daeExamples/acadamicDaeExample/runDaeExample.m @@ -13,14 +13,14 @@ opts_ifdiff = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-8,'RelTol', 1e-6); opts_plain = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-6, 'RelTol', 1e-3); -sol_plain = integrator(@(t, x) daeExampleRHS_reworked(t, x, p), tspan, x0, opts_plain); +sol_plain = integrator(@(t, x) rhsDaeExample(t, x, p), tspan, x0, opts_plain); -datahandle = prepareDatahandleForIntegration('daeExampleRHS_reworked', 'integrator', integrator, 'options', opts_ifdiff); +datahandle = prepareDatahandleForIntegration('rhsDaeExample', 'integrator', integrator, 'options', opts_ifdiff); sol_ifdiff = solveODE(datahandle, tspan, x0, p); %% Expl. Euler comparision h = 1e-4; -sol_euler = explicitEulerDAE(@(t,x,p) daeExampleRHS_reworked(t,x,p), 1, tspan, x0, p, h); +sol_euler = explicitEulerDAE(@(t,x,p) rhsDaeExample(t,x,p), 1, tspan, x0, p, h); %% Plots clf; diff --git a/toolbox/examples/daeExamples/daeExample/sensitivities_daeExample.m b/toolbox/examples/daeExamples/daeExample/sensitivities_daeExample.m deleted file mode 100644 index 1c9043c5..00000000 --- a/toolbox/examples/daeExamples/daeExample/sensitivities_daeExample.m +++ /dev/null @@ -1,144 +0,0 @@ -%% sensitivities daeExample - -%% Solution with ifdiff - -integrator = @ode15s; -x0 = [1; -1]; -tspan = [0 5]; -M = [1 0; 0 0]; -p = -0.2; - -opts_ifdiff = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-9,'RelTol', 1e-6); -datahandle = prepareDatahandleForIntegration('daeExampleRHS', 'integrator', integrator, 'options', opts_ifdiff); -sol = solveODE(datahandle, tspan, x0, p); - -%% Data for finite differences -dim_y = size(sol.y, 1); -dim_p = length(p); -FDstep = generateFDstep(dim_y, dim_p, 'hy', 10); - -%% Generation of sensitivity functions -tic; -integrator_options = odeset('AbsTol', 1e-10,'RelTol', 1e-6); -% sensitivities_function_ENDfull_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_full', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); -sensitivities_function_ENDpiece_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_piecewise', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); -sensitivities_function_VDE_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'integrator_options', integrator_options, 'method', 'VDE', 'calcGy', true,'calcGp',false, 'Gmatrices_intermediate', true, 'save_intermediates', true); -toc; - -%% Sensitivty calculations - - -t = [4 5]; -tic; -% sensitivities_full_DAE = sensitivities_function_ENDfull_DAE(t); -sensitivities_piece_DAE = sensitivities_function_ENDpiece_DAE(t); -sensitivities_VDE_DAE = sensitivities_function_VDE_DAE(t); -toc; - -%{ -%% Sensitivities Plots - -t_plot_DAE = 0:0.01:5; -sensitivities_END_plot_DAE = sensitivities_function_ENDfull_DAE(t_plot_DAE); - -sensdata_y11_DAE = arrayfun( @(x) x.Gy(1,1), sensitivities_END_plot_DAE); -sensdata_y12_DAE = arrayfun( @(x) x.Gy(1,2), sensitivities_END_plot_DAE); -sensdata_y21_DAE = arrayfun( @(x) x.Gy(2,1), sensitivities_END_plot_DAE); -sensdata_y22_DAE = arrayfun( @(x) x.Gy(2,2), sensitivities_END_plot_DAE); - - -figure(1) - -subplot(2,2,1) -hold on -plot(t_plot_DAE, sensdata_y11_DAE, 'b.') -axis([0 3 0 3]) -hold off -xlabel('t'); -ylabel('\partial y_1(t)/\partial y_{0,1}') -title('G_{y,11}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(2,2,2) -hold on -plot(t_plot_DAE, sensdata_y12_DAE, 'b.') -axis([0 3 0 3]) -hold off -xlabel('t'); -ylabel('\partial y_1(t)/\partial y_{0,1}') -title('G_{y,12}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(2,2,3) -hold on -plot(t_plot_DAE, sensdata_y21_DAE, 'b.') -axis([0 3 0 3]) -hold off -xlabel('t'); -ylabel('\partial y_2(t)/\partial y_{0,1}') -title('G_{y,21}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - - -subplot(2,2,4) -hold on -plot(t_plot_DAE, sensdata_y22_DAE, 'b.') -axis([0 3 0 3]) -hold off -xlabel('t'); -ylabel('\partial y_2(t)/\partial y_{0,1}') -title('G_{y,22}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); -figure(1) - -subplot(2,2,1) -hold on -plot(t_plot_DAE, sensdata_y11_DAE, 'b.') -axis([0 20 0 20]) -hold off -xlabel('t'); -ylabel('\partial y_1(t)/\partial y_{0,1}') -title('G_{y,11}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(2,2,2) -hold on -plot(t_plot_DAE, sensdata_y12_DAE, 'b.') -axis([0 20 0 20]) -hold off -xlabel('t'); -ylabel('\partial y_1(t)/\partial y_{0,1}') -title('G_{y,12}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(2,2,3) -hold on -plot(t_plot_DAE, sensdata_y21_DAE, 'b.') -axis([0 20 0 20]) -hold off -xlabel('t'); -ylabel('\partial y_2(t)/\partial y_{0,1}') -title('G_{y,21}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - - -subplot(2,2,4) -hold on -plot(t_plot_DAE, sensdata_y22_DAE, 'b.') -axis([0 3 0 3]) -hold off -xlabel('t'); -ylabel('\partial y_2(t)/\partial y_{0,1}') -title('G_{y,22}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -%} - diff --git a/toolbox/examples/daeExamples/explicitEulerDAE.m b/toolbox/examples/daeExamples/explicitEulerDAE.m index 6567d9d7..61e0ad18 100644 --- a/toolbox/examples/daeExamples/explicitEulerDAE.m +++ b/toolbox/examples/daeExamples/explicitEulerDAE.m @@ -1,5 +1,6 @@ function sol = explicitEulerDAE(rhs, DifferentialVars, tspan, x0, p, h, newtonOpts) -% explicitEulerDAE - Explicit Euler solver for semi-explicit, index 1 DAEs +% explicitEulerDAE - Explicit Euler solver for semi-explicit, DAEs of +% differential index 1 % % Solves: M * x' = f(t,x) by explicit Euler method % INPUT: diff --git a/toolbox/examples/daeExamples/rlcExample/plots_rlc/rlc_plot.png b/toolbox/examples/daeExamples/rlcExample/plotsRLC/rlc_plot.png similarity index 100% rename from toolbox/examples/daeExamples/rlcExample/plots_rlc/rlc_plot.png rename to toolbox/examples/daeExamples/rlcExample/plotsRLC/rlc_plot.png diff --git a/toolbox/examples/daeExamples/rlcExample/plots_rlc/rlc_plot_close.png b/toolbox/examples/daeExamples/rlcExample/plotsRLC/rlc_plot_close.png similarity index 100% rename from toolbox/examples/daeExamples/rlcExample/plots_rlc/rlc_plot_close.png rename to toolbox/examples/daeExamples/rlcExample/plotsRLC/rlc_plot_close.png diff --git a/toolbox/examples/daeExamples/rlcExample/rlcRHS.m b/toolbox/examples/daeExamples/rlcExample/rhsRLC.m similarity index 91% rename from toolbox/examples/daeExamples/rlcExample/rlcRHS.m rename to toolbox/examples/daeExamples/rlcExample/rhsRLC.m index d601beeb..e76977b5 100644 --- a/toolbox/examples/daeExamples/rlcExample/rlcRHS.m +++ b/toolbox/examples/daeExamples/rlcExample/rhsRLC.m @@ -1,4 +1,4 @@ -function dx = rlcRHS(~,x,p) +function dx = rhsRLC(~,x,p) dx = zeros(3,1); L = p(1); R1 = p(2); R2 = p(3); C = p(4); Vs = p(5); Vth = p(6); diff --git a/toolbox/examples/daeExamples/rlcExample/rlc_main.m b/toolbox/examples/daeExamples/rlcExample/runRLC.m similarity index 88% rename from toolbox/examples/daeExamples/rlcExample/rlc_main.m rename to toolbox/examples/daeExamples/rlcExample/runRLC.m index 8f50fbb9..703ab6a5 100644 --- a/toolbox/examples/daeExamples/rlcExample/rlc_main.m +++ b/toolbox/examples/daeExamples/rlcExample/runRLC.m @@ -18,15 +18,15 @@ opts_ifdiff = odeset('Mass', M,'AbsTol', 1e-8, 'RelTol', 1e-5); opts_plain = odeset('Mass', M,'AbsTol', 1e-8, 'RelTol', 1e-5); -datahandle = prepareDatahandleForIntegration('rlcRHS', 'integrator', integrator, 'options', opts_ifdiff); +datahandle = prepareDatahandleForIntegration('rhsRLC', 'integrator', integrator, 'options', opts_ifdiff); sol_ifdiff = solveODE(datahandle, tspan, x0, p); -sol_plain = integrator(@(t, x) rlcRHS(t, x, p), tspan, x0, opts_plain); +sol_plain = integrator(@(t, x) rhsRLC(t, x, p), tspan, x0, opts_plain); %% Explicit Euler (for comparison) -h = 1e-6; -sol_euler = explicitEulerDAE(@(t,x,p) rlcRHS(t,x,p), 2, tspan, x0, p, h); +h = 1e-4; +sol_euler = explicitEulerDAE(@(t,x,p) rhsRLC(t,x,p), 2, tspan, x0, p, h); %% Plots clf; diff --git a/toolbox/examples/daeExamples/rlcExample/sensitivities_rlc.m b/toolbox/examples/daeExamples/rlcExample/sensitivities_rlc.m deleted file mode 100644 index a24e43cb..00000000 --- a/toolbox/examples/daeExamples/rlcExample/sensitivities_rlc.m +++ /dev/null @@ -1,44 +0,0 @@ -%% RLC Sensitivities - -%% Setup and integration -integrator = @ode15s; -M = diag([1,1,0]); -x0 = [0; 0; 0]; -tspan = [0 5]; - -L = 1.0; -R1 = 5.0; -R2 = 0.1; -C = 1.0; -Vs = 1.0; -Vth = 0.5; -p = [L; R1; R2; C; Vs; Vth]; - -opts_ifdiff = odeset('Mass', M,'AbsTol', 1e-8, 'RelTol', 1e-5); -opts_plain = odeset('Mass', M,'AbsTol', 1e-8, 'RelTol', 1e-5); - -datahandle = prepareDatahandleForIntegration('rlcRHS', 'integrator', integrator, 'options', opts_ifdiff); - -sol_ifdiff = solveODE(datahandle, tspan, x0, p); -sol_plain = integrator(@(t, x) rlcRHS(t, x, p), tspan, x0, opts_plain); - -%% Data for finite differences -dim_y = size(sol.y, 1); -dim_p = length(p); -FDstep = generateFDstep(dim_y, dim_p, 'hy_rel_flag', true,'hp_rel_flag', true, 'hy_min', 1e-3, 'hp_min', 1e-3); - -%% Generation of sensitivity functions -tic; -integrator_options = odeset('AbsTol', 1e-14,'RelTol', 1e-12, 'MassSingular','no'); -sensitivities_function_ENDfull_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_full', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', true); -sensitivities_function_ENDpiece_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'method', 'END_piecewise', 'calcGy', true,'calcGp',true, 'Gmatrices_intermediate', true, 'save_intermediates', false); -sensitivities_function_VDE_DAE = generateSensitivityFunction(datahandle, sol, FDstep, 'integrator_options', integrator_options, 'method', 'VDE', 'calcGy', true,'calcGp',false, 'Gmatrices_intermediate', true, 'save_intermediates', false); -toc; - -%% Sensitivty calculations -t = [0 5]; -tic; -sensitivities_full_DAE = sensitivities_function_ENDfull_DAE(t); -sensitivities_piece_DAE = sensitivities_function_ENDpiece_DAE(t); -sensitivities_VDE_DAE = sensitivities_function_VDE_DAE(t); -toc; \ No newline at end of file From 5db58dcfbe619d85146d7da7732e6e90ff4c4e9c Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 28 May 2026 16:36:25 +0200 Subject: [PATCH 12/43] rename in White Cabbage and Predator Prey Filippov --- .../generateResidualFunction.m | 2 +- ...getParams_Cabbage.m => getParamsCabbage.m} | 2 +- ...s_cabbage.m => plotSensitivitiesCabbage.m} | 0 .../{whiteCabbageRHS.m => rhsCabbage.m} | 2 +- .../{test_Cabbage.m => runCabbage.m} | 12 +- .../predatorpreyFilippov/rhsPredatorPrey.m | 4 + .../predatorpreyFilippov/rhsPredatorPrey3D.m | 43 +++ .../predatorpreyFilippov/runPredatorPrey.m | 6 +- .../predatorpreyFilippov/runPredatorPrey3D.m | 304 ++++++++++++++++++ 9 files changed, 364 insertions(+), 11 deletions(-) rename toolbox/examples/parameterEstimationWhiteCabbage/{getParams_Cabbage.m => getParamsCabbage.m} (90%) rename toolbox/examples/parameterEstimationWhiteCabbage/{plot_sensitivities_cabbage.m => plotSensitivitiesCabbage.m} (100%) rename toolbox/examples/parameterEstimationWhiteCabbage/{whiteCabbageRHS.m => rhsCabbage.m} (88%) rename toolbox/examples/parameterEstimationWhiteCabbage/{test_Cabbage.m => runCabbage.m} (86%) create mode 100644 toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m create mode 100644 toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/generateResidualFunction.m b/toolbox/examples/parameterEstimationWhiteCabbage/generateResidualFunction.m index da12e424..e7775570 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/generateResidualFunction.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/generateResidualFunction.m @@ -7,7 +7,7 @@ integrator_solveODE = @ode45; odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-6); - datahandle = prepareDatahandleForIntegration('whiteCabbageRHS', 'integrator', func2str(integrator_solveODE), 'options', odeoptionsrhs_test); + datahandle = prepareDatahandleForIntegration('rhsCabbage', 'integrator', integrator_solveODE, 'options', odeoptionsrhs_test); return diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/getParams_Cabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/getParamsCabbage.m similarity index 90% rename from toolbox/examples/parameterEstimationWhiteCabbage/getParams_Cabbage.m rename to toolbox/examples/parameterEstimationWhiteCabbage/getParamsCabbage.m index 82f94cf8..76e3d821 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/getParams_Cabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/getParamsCabbage.m @@ -1,4 +1,4 @@ -function parameters = getParams_Cabbage() +function parameters = getParamsCabbage() %Parameters for growth of white cabbage model parameters(1) = 34469.4; %a diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/plot_sensitivities_cabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m similarity index 100% rename from toolbox/examples/parameterEstimationWhiteCabbage/plot_sensitivities_cabbage.m rename to toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/whiteCabbageRHS.m b/toolbox/examples/parameterEstimationWhiteCabbage/rhsCabbage.m similarity index 88% rename from toolbox/examples/parameterEstimationWhiteCabbage/whiteCabbageRHS.m rename to toolbox/examples/parameterEstimationWhiteCabbage/rhsCabbage.m index f90c5c38..42405e1c 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/whiteCabbageRHS.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/rhsCabbage.m @@ -1,4 +1,4 @@ -function dy = whiteCabbageRHS(t, y, p) +function dy = rhsCabbage(t, y, p) %RHS for growth of white cabbage model dy = zeros(3,1); diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/test_Cabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m similarity index 86% rename from toolbox/examples/parameterEstimationWhiteCabbage/test_Cabbage.m rename to toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m index abaa956c..bca1c6e1 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/test_Cabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m @@ -1,12 +1,12 @@ %% Solution ifdiff integrator = @ode45; -odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); -datahandle = prepareDatahandleForIntegration('whiteCabbageRHS', 'integrator', func2str(integrator), 'options', odeoptionsrhs_test); +odeoptionsrhs = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); +datahandle = prepareDatahandleForIntegration('rhsCabbage', 'integrator', integrator, 'options', odeoptionsrhs); tspan = [0 118]; initialvalues = [2.48252;0;0]; -parameters_ODE = getParams_Cabbage(); +parameters_ODE = getParamsCabbage(); sol = solveODE(datahandle, tspan, initialvalues, parameters_ODE); %s = rng; @@ -29,9 +29,8 @@ %% Generation of residual function integrator_residual = @solveODE; -RHS = @whiteCabbageRHS; method = 'VDE'; -residual_function = generateResidualFunction(t, datahandle, sol, measurements, tspan, parameters_ODE, RHS, FDstep, integrator_residual, method); +residual_function = generateResidualFunction(t, datahandle, sol, measurements, tspan, parameters_ODE, @rhsCabbage, FDstep, integrator_residual, method); %% Parameter estimation options = optimoptions('lsqnonlin','SpecifyObjectiveGradient',true, 'Algorithm','levenberg-marquardt', 'Display', 'iter', 'DerivativeCheck', 'off', 'typicalX', [parameters_ODE;1;1;1]);%, 'TolX', 1e-14, 'TolFun', 1e-14); @@ -39,8 +38,7 @@ tic; [param_opt,resnorm,residual,exitflag,output,lambda,jacobian] = lsqnonlin(residual_function, parameters_init, [], [], options); toc; -percent = (param_opt*100./[getParams_Cabbage();2.48252;0;0])-100 -param_opt +percent = (param_opt*100./[getParamsCabbage();2.48252;0;0])-100*param_opt; %% Joint confidence intervals %CI = nlparci(param_opt,residual,'jacobian',jacobian); diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m index b481a0c6..840d5b7b 100644 --- a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m +++ b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m @@ -1,4 +1,8 @@ +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m function dx = rhsPredatorPrey(~, x, p) +======== +function dx = rhsPredatorPrey3D(~, x, p) +>>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m % 2-Prey-1-Predatory Model % % Source: diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m new file mode 100644 index 00000000..840d5b7b --- /dev/null +++ b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m @@ -0,0 +1,43 @@ +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m +function dx = rhsPredatorPrey(~, x, p) +======== +function dx = rhsPredatorPrey3D(~, x, p) +>>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m +% 2-Prey-1-Predatory Model +% +% Source: +% Tiago Carvalho, Douglas Duarte Novaes, Luiz Fernando Goncalves: +% Sliding Shilnikov connection in Filippov-type predator-prey model +% Nonlinear Dyn (2020) 100:2973-2987 + +% Preallocate +dx = zeros(3, 1); + +% Unpack state components and parameters +p1 = x(1); % prey1 +p2 = x(2); % prey2 +P = x(3); % Predator + +r1 = p(1); +r2 = p(2); +beta1 = p(3); +beta2 = p(4); +q1 = p(5); +q2 = p(6); +m = p(7); +e = p(8); +aq = p(9); + +% Switching manifold +H = beta1*p1 - aq*beta2*p2; + +if H >= 0 + dx(1) = (r1 - beta1*P) .* p1; + dx(2) = r2*p2; + dx(3) = (e*q1*beta1*p1 - m) .* P; +else + dx(1) = r1*p1; + dx(2) = (r2 - beta2*P) .* p2; + dx(3) = (e*q2*beta2*p2 - m) .* P; +end +end diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m index b8974100..88f26f39 100644 --- a/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +++ b/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m @@ -5,7 +5,7 @@ % Integrator intIfdiff = @ode45; intOptions = odeset('reltol', 1e-5, 'abstol', 1e-12); -eulerStep = 1e-7; +eulerStep = 1e-5; % Parameter values required for Shilnikov behavior in the paper (see RHS file). m = 0.790; @@ -25,7 +25,11 @@ x0 = [a; a; r1-r2]; % RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey.m rhs = @rhsPredatorPrey; +======== +rhs = @rhsPredatorPrey3D; +>>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m % Plotting plot_n = 10000; diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m new file mode 100644 index 00000000..88f26f39 --- /dev/null +++ b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m @@ -0,0 +1,304 @@ +%% Setup +% Time span +tspan = [0, 100]; + +% Integrator +intIfdiff = @ode45; +intOptions = odeset('reltol', 1e-5, 'abstol', 1e-12); +eulerStep = 1e-5; + +% Parameter values required for Shilnikov behavior in the paper (see RHS file). +m = 0.790; +r1 = 0.836; +e = 0.948; +q1 = 0.772; +aq = 0.660; +beta2 = 0.896; +% Some values changed for prettier plot (remains a Filippov system). +q2 = 1.500; % 1.084 (paper) +r2 = 0.300; % 0.126 (paper) +beta1 = 7.810; % 7.800 (Example plot in paper, but can be chosen arbitrarily, retaining Shilnikov behavior) +p = [r1, r2, beta1, beta2, q1, q2, m, e, aq]; + +% Initial values (used for plot in paper, but may be changed) +a = 0.286975; +x0 = [a; a; r1-r2]; + +% RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +rhs = @rhsPredatorPrey; +======== +rhs = @rhsPredatorPrey3D; +>>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m + +% Plotting +plot_n = 10000; +plot_t = linspace(tspan(1), tspan(end), plot_n); + +nameIfdiff = sprintf('Ifdiff/%s', func2str(intIfdiff)); +nameEuler = sprintf('Euler/%.0e', eulerStep); +lwIfdiff = 3; +lwEuler = 3; +colorIfdiff = [0, 0.447, 0.741]; +colorEuler = [0.85, 0.325, 0.098]; +lsIfdiff = '-'; +lsEuler = '--'; + +% Sensitivity +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('rhsPredatorPrey', 'solver', intIfdiff, 'options', intOptions); +solveODE(datahandle, tspan, x0, p); +disp("Compilation done..."); + +%% Solve with IFDIFF +datahandle = prepareDatahandleForIntegration(rhs, 'solver', intIfdiff, 'options', intOptions); +% Enable storing of convexification data +configNew = makeConfig(); +configNew.storeSlidingInfo = true; +configOld = makeConfig(configNew); +try + solIfdiff = solveODE(datahandle, tspan, x0, p); +catch MEa + makeConfig(configOld); + rethrow(ME); +end +makeConfig(configOld); + +%% Solve with Euler +[owndir, ~] = fileparts(mfilename('fullpath')); +if contains(owndir, 'Editor_') + [owndir, ~] = fileparts(matlab.desktop.editor.getActiveFilename); +end + +euler_prefix = sprintf('sol_euler_%.0e', eulerStep); +euler_vname = 'sol_euler'; +euler_fname = fullfile(owndir, [euler_prefix, '.mat']); + +solEuler = loadEulerOrCompute(euler_fname, euler_vname, rhs, tspan, x0, p, eulerStep); + + +%% Plot solution +windowTitleX = "3D Solution Trajectories"; +plot_x_ifdiff = deval(solIfdiff, plot_t); +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, 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); +sensFunVDE = generateSensitivityFunction(datahandle, solIfdiff, ... + 'method', 'VDE', ... + 'FDstep', FDstep, ... + 'calcGy', true, ... + 'calcGp', false); +sensVDE = sensFunVDE(plot_t); +G = arrayfun(@(s) s.Gy(:, wrt_y), sensVDE, 'UniformOutput', false); +plot_sens_ifdiff = [G{:}]; + + +%% Compute Sensitivity with Euler +euler_prefix_disturb = sprintf('%s_disturb_wrt_y%d', euler_prefix, wrt_y); +euler_fname_disturb = fullfile(owndir, [euler_prefix_disturb, '.mat']); + +x0_disturb = x0; +x0_disturb(wrt_y) = x0_disturb(wrt_y) + eulerDisturbH; +solEulerDisturb = loadEulerOrCompute(euler_fname_disturb, euler_vname, rhs, tspan, x0_disturb, p, eulerStep); +sensEuler = (solEulerDisturb.y - solEuler.y) / eulerDisturbH; +plot_sens_euler = interp1(solEuler.x, sensEuler', plot_t)'; + + +%% Plot Sensitivity +windowTitle = "Sensitivity and failiure modes of Euler nr. "; +for idx_y=1:3 + 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 + + +%% Plot alpha and switching function +data = datahandle.getData(); +t_alpha = data.sliding.convexification.t; +alpha = data.sliding.convexification.alpha; +ax = plotSwitchingFuncOrAlpha([], t_alpha, alpha, 'Alpha', 2, colorIfdiff, 'left', 'Alpha'); + +sw = solIfdiff.switchingFunction{1}; +sw_x = arrayfun(@(t) sw([], t, deval(solIfdiff, t), p), t_alpha); +plotSwitchingFuncOrAlpha(ax, t_alpha, sw_x, 'Switching Function', 2, colorEuler, 'right', 'Switching Function'); + +plotSwitches(ax, solIfdiff.switches) + + +%% 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, saveEvery); +fprintf('Saving result to %s for later reuse.\n', fname); +save(fname, vname); +end + +function plotSwitches(ax, switches) +xline(ax, switches, '--', 'LineWidth', 1.5, 'HandleVisibility', 'off'); +end + +function ax = plotSwitchingFuncOrAlpha(ax, t, x, name, lw, color, yyax, ylab) +if isempty(ax) + f = figure('Name', 'Alpha and Switching Function'); + ax = axes(f); +end +yyaxis(ax, yyax); +hold(ax, 'on'); +plot(ax, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color); +hold(ax, 'off'); +grid(ax, 'on'); +xlabel(ax, 't'); +ylabel(ax, ylab); +legend(ax, 'location', 'northeast'); + +yl = ylim(ax); +yl(1) = 0; +ylim(ax, yl); +end + +function ax = plotSens(ax, t, x, name, lw, color, ls, windowTitleX, zoomX, zoomY) +if isempty(ax) + 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'); +legend(ax, 'location', 'best'); + +% Zoomed plot +hold(axZoom, 'on'); +plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); +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, windowTitleX) +if isempty(ax) + f = figure('Name', windowTitleX); + ax = axes(f); +end +hold(ax, 'on'); +plot3(ax, x(3, :), x(2, :), x(1, :), 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); +hold(ax, 'off'); + +view(ax, [97 51]); +box(ax, 'on'); +grid(ax, 'on'); +xlabel(ax, 'Predator'); +ylabel(ax, 'Prey 2'); +zlabel(ax, 'Prey 1'); +legend(ax, 'location', 'northeast'); +end + +function sol = explEuler(rhs, tspan, x0, p, stepsize, saveEvery) +xdim = length(x0); +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); +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 +end +fprintf('\n'); +% Remove unused preallocated entries +X = X(:, 1:k-1); +T = T(1:k-1); + +sol.x = T; +sol.y = X; +end From 989b7864f2177d4ba160418a53e6db5a7a06561d Mon Sep 17 00:00:00 2001 From: pilar Date: Tue, 9 Jun 2026 14:05:00 +0200 Subject: [PATCH 13/43] Refactor bounceball and predatorprey --- toolbox/examples/bounceball/rhsBounceball.m | 15 ++++++++++++--- toolbox/examples/bounceball/runBounceball.m | 2 +- .../predatorpreyFilippov/runPredatorPrey3D.m | 2 +- 3 files changed, 14 insertions(+), 5 deletions(-) diff --git a/toolbox/examples/bounceball/rhsBounceball.m b/toolbox/examples/bounceball/rhsBounceball.m index 0a88140a..fec7d80f 100644 --- a/toolbox/examples/bounceball/rhsBounceball.m +++ b/toolbox/examples/bounceball/rhsBounceball.m @@ -14,14 +14,23 @@ dx = zeros(2,1); m = p(2); + g = p(3); + threshold = 1e-6; + % if E + E = 0.5*m*x(2)^2 + m*g*x(1); % RHS logic - if x(1)>=0 - g = exp(2*t)*p(3); + if E < threshold + g = 0; else - g = -exp(2*t)*p(3); + if x(1)>=0 + g = exp(2*t)*g; + else + g = -exp(2*t)*g; + end end + dx(1) = x(2); dx(2) = -g/m; diff --git a/toolbox/examples/bounceball/runBounceball.m b/toolbox/examples/bounceball/runBounceball.m index 5a5b4a8f..13ee29fe 100644 --- a/toolbox/examples/bounceball/runBounceball.m +++ b/toolbox/examples/bounceball/runBounceball.m @@ -7,7 +7,7 @@ fprintf('Preprocessing...\n '); odeoptions = odeset( 'AbsTol', 1e-14, 'RelTol', 1e-12); -filename = 'rhs_bounceball'; +filename = 'rhsBounceball'; tic handlerhs_test = prepareDatahandleForIntegration(filename, 'integrator', integrator, 'options', odeoptions); toc diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m index 88f26f39..7d9786f1 100644 --- a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +++ b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m @@ -5,7 +5,7 @@ % Integrator intIfdiff = @ode45; intOptions = odeset('reltol', 1e-5, 'abstol', 1e-12); -eulerStep = 1e-5; +eulerStep = 1e-7; % Parameter values required for Shilnikov behavior in the paper (see RHS file). m = 0.790; From cb44b5a6dc531cea5d7d718ff674164bf4d90a87 Mon Sep 17 00:00:00 2001 From: pilar Date: Tue, 9 Jun 2026 14:31:49 +0200 Subject: [PATCH 14/43] removed funfun from examples (already integrated in testsuite) --- toolbox/examples/funfun/funinif_ext.m | 3 -- toolbox/examples/funfun/funinif_rhs.m | 7 ----- toolbox/examples/funfun/funinif_test.m | 40 -------------------------- 3 files changed, 50 deletions(-) delete mode 100644 toolbox/examples/funfun/funinif_ext.m delete mode 100644 toolbox/examples/funfun/funinif_rhs.m delete mode 100644 toolbox/examples/funfun/funinif_test.m diff --git a/toolbox/examples/funfun/funinif_ext.m b/toolbox/examples/funfun/funinif_ext.m deleted file mode 100644 index 51f33346..00000000 --- a/toolbox/examples/funfun/funinif_ext.m +++ /dev/null @@ -1,3 +0,0 @@ -function val = funinif_ext(t,x) - val = exp(1)*(t+0)*x; -end \ No newline at end of file diff --git a/toolbox/examples/funfun/funinif_rhs.m b/toolbox/examples/funfun/funinif_rhs.m deleted file mode 100644 index 93203a9c..00000000 --- a/toolbox/examples/funfun/funinif_rhs.m +++ /dev/null @@ -1,7 +0,0 @@ -function val = funinif_rhs(t,y,~) - if t > funinif_ext(t,y) - val = 1; - else - val = 1.1; - end -end \ No newline at end of file diff --git a/toolbox/examples/funfun/funinif_test.m b/toolbox/examples/funfun/funinif_test.m deleted file mode 100644 index 3d4e3693..00000000 --- a/toolbox/examples/funfun/funinif_test.m +++ /dev/null @@ -1,40 +0,0 @@ -% Test if function call in if condition is allowed - -% initialize -x0 = 1; -t0 = 0; -tf = 9; -tspan = [t0 tf]; -T = t0:((tf-t0)/100):tf; - -% setup -odesolver = @ode45; -options = odeset('AbsTol', 1e-15, 'RelTol', 1e-3); -% options = odeset('AbsTol', 1e-20, 'RelTol', 1e-8, 'MaxStep', 1e-3); -rhs_name = 'funinif_rhs'; -% rhs_name = 'funinif_rhs'; - -% try with ode-solver -tic -solode = odesolver(@(t,x) funinif_rhs(t,x), tspan, x0, options); -fprintf('%s integration took %g seconds.\n', func2str(odesolver), toc()); -X = deval(solode, T); - -% ifdiff -tic -hdl = prepareDatahandleForIntegration(rhs_name, 'integrator', func2str(odesolver), 'options', options); -fprintf('Ifdiff handle preparation took %g seconds.\n', toc()); -tic -[solif, dataif] = solveODE(hdl, tspan, x0, []); -fprintf('Ifdiff integration took %g seconds.\n', toc()); -XX = deval(solif, T); - -% plot solutions -figure(313); clf; -subplot(2,1,1); plot(T, XX, 'go-'); hold on; -subplot(2,1,1); plot(T, X , 'b.-'); -legend('ifdiff',func2str(odesolver),'Location','Best'); -subplot(2,1,2); plot(T, X-XX, 'k.-'); -legend('difference','Location','Best'); - - From 55ca65e3283aedb847c22431bfb7ce5ca50d3412 Mon Sep 17 00:00:00 2001 From: pilar Date: Tue, 9 Jun 2026 15:13:17 +0200 Subject: [PATCH 15/43] refactored spiral, sign --- .../examples/canonicalExample/runCanonicalExample.m | 2 +- ...ign_inconsistent_rhs.m => rhsSignInconsistent.m} | 2 +- ...nconsistent_rhs_2d.m => rhsSignInconsistent2d.m} | 2 +- ...gn_inconsistent_test.m => runSignInconsistent.m} | 6 +++--- ...consistent_2d_test.m => runSignInconsistent2d.m} | 9 +++------ toolbox/examples/spiral/rhsSpiral.m | 13 +++++++++++++ .../examples/spiral/{spiral_test.m => runSpiral.m} | 6 +++--- toolbox/examples/spiral/spiral_rhs.m | 8 -------- 8 files changed, 25 insertions(+), 23 deletions(-) rename toolbox/examples/sign/{sign_inconsistent_rhs.m => rhsSignInconsistent.m} (76%) rename toolbox/examples/sign/{sign_inconsistent_rhs_2d.m => rhsSignInconsistent2d.m} (78%) rename toolbox/examples/sign/{sign_inconsistent_test.m => runSignInconsistent.m} (92%) rename toolbox/examples/sign/{sign_inconsistent_2d_test.m => runSignInconsistent2d.m} (91%) create mode 100644 toolbox/examples/spiral/rhsSpiral.m rename toolbox/examples/spiral/{spiral_test.m => runSpiral.m} (87%) delete mode 100644 toolbox/examples/spiral/spiral_rhs.m diff --git a/toolbox/examples/canonicalExample/runCanonicalExample.m b/toolbox/examples/canonicalExample/runCanonicalExample.m index 91d03a5b..fde1e5d6 100644 --- a/toolbox/examples/canonicalExample/runCanonicalExample.m +++ b/toolbox/examples/canonicalExample/runCanonicalExample.m @@ -4,7 +4,7 @@ timeinterval = [t0,tf]; initstates = [1 0 ]; p = 5.437; -odeoptions = odeset( 'AbsTol', 1e-20, 'RelTol', 1e-12); +odeoptions = odeset( 'AbsTol', 1e-20, 'RelTol', 1e-12, 'MaxStep', 1000); %% fprintf('Integration with %s...\n ', func2str(integrator)); diff --git a/toolbox/examples/sign/sign_inconsistent_rhs.m b/toolbox/examples/sign/rhsSignInconsistent.m similarity index 76% rename from toolbox/examples/sign/sign_inconsistent_rhs.m rename to toolbox/examples/sign/rhsSignInconsistent.m index 47b3c402..42a78343 100644 --- a/toolbox/examples/sign/sign_inconsistent_rhs.m +++ b/toolbox/examples/sign/rhsSignInconsistent.m @@ -1,4 +1,4 @@ -function dx = sign_inconsistent_rhs(t,x,p) +function dx = rhsSignInconsistent(t,x,p) dx = zeros(1,1); dx(1) = 2 - 4*sign(x(1)-p(1)); diff --git a/toolbox/examples/sign/sign_inconsistent_rhs_2d.m b/toolbox/examples/sign/rhsSignInconsistent2d.m similarity index 78% rename from toolbox/examples/sign/sign_inconsistent_rhs_2d.m rename to toolbox/examples/sign/rhsSignInconsistent2d.m index be5ae881..39911eb2 100644 --- a/toolbox/examples/sign/sign_inconsistent_rhs_2d.m +++ b/toolbox/examples/sign/rhsSignInconsistent2d.m @@ -1,4 +1,4 @@ -function dx = sign_inconsistent_rhs_2d(t,x,p) +function dx = rhsSignInconsistent2d(t,x,p) dx = zeros(2,1); sign_value = sign(x(2)-p(1)); diff --git a/toolbox/examples/sign/sign_inconsistent_test.m b/toolbox/examples/sign/runSignInconsistent.m similarity index 92% rename from toolbox/examples/sign/sign_inconsistent_test.m rename to toolbox/examples/sign/runSignInconsistent.m index 62a067e9..3ccd5942 100644 --- a/toolbox/examples/sign/sign_inconsistent_test.m +++ b/toolbox/examples/sign/runSignInconsistent.m @@ -1,5 +1,5 @@ integrator = @ode45; -initstates = [1]; +initstates = 1; p = 0; doIfdiff = true; @@ -12,9 +12,9 @@ fprintf('Preprocessing...\n '); odeoptions = odeset( 'AbsTol', 1e-14, 'MaxStep', 2); - filename = 'sign_inconsistent_rhs'; + filename = 'rhsSignInconsistent'; datahandle = prepareDatahandleForIntegration(filename, ... - 'integrator', func2str(integrator), 'options', odeoptions); + 'integrator', integrator, 'options', odeoptions); fprintf('Integration with ifdiff/%s...\n ', func2str(integrator)); tic diff --git a/toolbox/examples/sign/sign_inconsistent_2d_test.m b/toolbox/examples/sign/runSignInconsistent2d.m similarity index 91% rename from toolbox/examples/sign/sign_inconsistent_2d_test.m rename to toolbox/examples/sign/runSignInconsistent2d.m index 52f7c72d..bca0ceff 100644 --- a/toolbox/examples/sign/sign_inconsistent_2d_test.m +++ b/toolbox/examples/sign/runSignInconsistent2d.m @@ -1,17 +1,16 @@ integrator = @ode45; t0 = 0; -tf = 1; -% tf = 0.5+30*eps; +tf = 1; % tf = 0.5+30*eps; timeinterval = [t0,tf]; initstates = [1, 1]; p = 0; fprintf('Preprocessing...\n '); odeoptions = odeset( 'AbsTol', 1e-14, 'MaxStep', 2); -filename = 'sign_inconsistent_rhs_2d'; +filename = 'rhsSignInconsistent2d'; tic datahandle = prepareDatahandleForIntegration(filename, ... - 'solver', func2str(integrator), 'options', odeoptions); + 'solver', integrator, 'options', odeoptions); toc fprintf('Integration with ifdiff/%s...\n ', func2str(integrator)); @@ -20,8 +19,6 @@ % sol_ode45 = ode45(@(t,x) sign_inconsistent_rhs_2d(t,x,p), timeinterval, initstates); toc - - % Read out number of switches during integration n_switches = max(size(datahandle.getData().SWP_detection.switchingpoints)); fprintf('Total number of switches during integration: %d \n', n_switches); diff --git a/toolbox/examples/spiral/rhsSpiral.m b/toolbox/examples/spiral/rhsSpiral.m new file mode 100644 index 00000000..953b37ea --- /dev/null +++ b/toolbox/examples/spiral/rhsSpiral.m @@ -0,0 +1,13 @@ +function dx = rhsSpiral(~, x, p) + % ODE showing a spiral behavior, while every cross of an axis results + % in a switch. In this way, the switching frequency goes to infinity. + dx = zeros(2,1); + threshold = 1e-3; + + if sign(x(1)) > threshold + dx(1) = -sign(x(1)) + 2*sign(x(2)); + dx(2) = -2*sign(x(1)) - sign(x(2)); + else + dx = [sign(x(1));sign(x(2))]; + end +end \ No newline at end of file diff --git a/toolbox/examples/spiral/spiral_test.m b/toolbox/examples/spiral/runSpiral.m similarity index 87% rename from toolbox/examples/spiral/spiral_test.m rename to toolbox/examples/spiral/runSpiral.m index 1be3e5e8..19e27571 100644 --- a/toolbox/examples/spiral/spiral_test.m +++ b/toolbox/examples/spiral/runSpiral.m @@ -6,10 +6,10 @@ p = []; fprintf('Preprocessing...\n '); -odeoptions = odeset( 'AbsTol', 1e-8, 'RelTol', 1e-6, 'MaxStep', 10000); -filename = 'spiral_rhs'; +odeoptions = odeset( 'AbsTol', 1e-8, 'RelTol', 1e-6); +filename = 'rhsSpiral'; tic -handlerhs_test = prepareDatahandleForIntegration(filename, 'integrator', func2str(integrator), 'options', odeoptions); +handlerhs_test = prepareDatahandleForIntegration(filename, 'integrator', integrator, 'options', odeoptions); toc % solution diff --git a/toolbox/examples/spiral/spiral_rhs.m b/toolbox/examples/spiral/spiral_rhs.m deleted file mode 100644 index 0b76ad8d..00000000 --- a/toolbox/examples/spiral/spiral_rhs.m +++ /dev/null @@ -1,8 +0,0 @@ -function dx = spiral_rhs(t, x, p) - % ODE showing a spiral behavior, while every cross of an axis results - % in a switch. In this way, the switching frequency goes to infinity. - dx = zeros(2,1); - - dx(1) = -sign(x(1)) + 2*sign(x(2)); - dx(2) = -2*sign(x(1)) - sign(x(2)); -end \ No newline at end of file From 78bd17dbfbbfabd6d4e6f93331f6418293fe4263 Mon Sep 17 00:00:00 2001 From: pilar Date: Tue, 9 Jun 2026 17:21:32 +0200 Subject: [PATCH 16/43] refactor statejump, subway; removed func2str from datahandle call --- .../bounceball/{bounceballRHS.m => rhsBounceball.m} | 2 +- .../{bounceballZenoRHS.m => rhsBounceballZeno.m} | 2 +- toolbox/examples/statejump/bounceballError.m | 4 ++-- toolbox/examples/statejump/bounceballZeno.m | 4 ++-- toolbox/examples/statejump/jumpSensitivities.m | 8 ++++---- .../{jumpSensitivityRHS.m => rhsJumpSensitivity.m} | 2 +- .../examples/statejump/{bounceball.m => runBounceball.m} | 4 ++-- toolbox/examples/statejump/sinCosMain.m | 2 +- .../subway/Sensitivities/Plot_Sensitivities_NewYork.m | 2 +- ...elRhs_wrapped.m => rhsNewYorkCitySubwayModelWrapped.m} | 2 +- ...rkCitySubwayModelRhs.m => rhsNewYorkCitySubwayModel.m} | 2 +- ...esis.m => runNewYorkCityExampleIntegrationForThesis.m} | 7 +++---- 12 files changed, 20 insertions(+), 21 deletions(-) rename toolbox/examples/statejump/bounceball/{bounceballRHS.m => rhsBounceball.m} (98%) rename toolbox/examples/statejump/bounceball/{bounceballZenoRHS.m => rhsBounceballZeno.m} (96%) rename toolbox/examples/statejump/jumpSensitivities/{jumpSensitivityRHS.m => rhsJumpSensitivity.m} (89%) rename toolbox/examples/statejump/{bounceball.m => runBounceball.m} (90%) rename toolbox/examples/subway/Sensitivities/{newYorkCitySubwayModelRhs_wrapped.m => rhsNewYorkCitySubwayModelWrapped.m} (98%) rename toolbox/examples/subway/{newYorkCitySubwayModelRhs.m => rhsNewYorkCitySubwayModel.m} (98%) rename toolbox/examples/subway/{newYorkCityExampleIntegrationForThesis.m => runNewYorkCityExampleIntegrationForThesis.m} (97%) diff --git a/toolbox/examples/statejump/bounceball/bounceballRHS.m b/toolbox/examples/statejump/bounceball/rhsBounceball.m similarity index 98% rename from toolbox/examples/statejump/bounceball/bounceballRHS.m rename to toolbox/examples/statejump/bounceball/rhsBounceball.m index a2864231..1337aad6 100644 --- a/toolbox/examples/statejump/bounceball/bounceballRHS.m +++ b/toolbox/examples/statejump/bounceball/rhsBounceball.m @@ -1,4 +1,4 @@ -function dx = bounceballRHS(~, x, p) +function dx = rhsBounceball(~, x, p) % basic bouncing ball. It loses energy on each bounce, but not by air friction. There is no % solution to Zeno's phenomenon when the ball is very low, just don't integrate that far. % p = [g, gamma] diff --git a/toolbox/examples/statejump/bounceball/bounceballZenoRHS.m b/toolbox/examples/statejump/bounceball/rhsBounceballZeno.m similarity index 96% rename from toolbox/examples/statejump/bounceball/bounceballZenoRHS.m rename to toolbox/examples/statejump/bounceball/rhsBounceballZeno.m index 06f7da8a..4a238355 100644 --- a/toolbox/examples/statejump/bounceball/bounceballZenoRHS.m +++ b/toolbox/examples/statejump/bounceball/rhsBounceballZeno.m @@ -1,4 +1,4 @@ -function dx = bounceballZenoRHS(~, x, p) +function dx = rhsBounceballZeno(~, x, p) % basic bouncing ball with Zeno's phenomenon treatment. It loses energy on each bounce, but % not by air friction. % p = [g, gamma, eByMassMin] diff --git a/toolbox/examples/statejump/bounceballError.m b/toolbox/examples/statejump/bounceballError.m index fd6f95eb..7d7dceae 100644 --- a/toolbox/examples/statejump/bounceballError.m +++ b/toolbox/examples/statejump/bounceballError.m @@ -94,7 +94,7 @@ standardTic = tic; % Standard solution and sensitivities -datahandle = prepareDatahandleForIntegration('bounceballRHS', ... +datahandle = prepareDatahandleForIntegration('rhsBounceball', ... 'solver', func2str(solverStandard), ... 'options', optionsStandard); solStandard = solveODE(datahandle, [t0 tEnd], x0, p); @@ -130,7 +130,7 @@ % Strict solution and sensitivities strictTic = tic; % Strict solution and sensitivities -datahandle = prepareDatahandleForIntegration('bounceballRHS', ... +datahandle = prepareDatahandleForIntegration('rhsBounceball', ... 'solver', func2str(solverStrict), ... 'options', optionsStrict); solStrict = solveODE(datahandle, [t0 tEnd], x0, p); diff --git a/toolbox/examples/statejump/bounceballZeno.m b/toolbox/examples/statejump/bounceballZeno.m index 8b9b8d99..7fd4b66b 100644 --- a/toolbox/examples/statejump/bounceballZeno.m +++ b/toolbox/examples/statejump/bounceballZeno.m @@ -14,8 +14,8 @@ tEnd = 25; % zeno begins (analytically) at 20.3935964107270316 for these particular data x0 = [h0; v0]; -datahandle = prepareDatahandleForIntegration('bounceballZenoRHS', ... - 'solver', func2str(solver), ... +datahandle = prepareDatahandleForIntegration('rhsBounceballZeno', ... + 'solver', solver, ... 'options', options); sol = solveODE(datahandle, [t0 tEnd], x0, p); diff --git a/toolbox/examples/statejump/jumpSensitivities.m b/toolbox/examples/statejump/jumpSensitivities.m index 32b2507b..79b8bbed 100644 --- a/toolbox/examples/statejump/jumpSensitivities.m +++ b/toolbox/examples/statejump/jumpSensitivities.m @@ -42,8 +42,8 @@ % IFDIFF solution (standard tolerances) datahandle = prepareDatahandleForIntegration( ... - 'jumpSensitivityRHS', ... - 'solver', func2str(solverStandard), ... + 'rhsJumpSensitivity', ... + 'solver', solverStandard, ... 'options', optionsStandard); solStandard = solveODE(datahandle, [t0 tEnd], x0, p); @@ -68,8 +68,8 @@ % IFDIFF solution with strict tolerances. The smaller FDstep makes most of the difference, % but the strict ODE tolerances also help a little bit datahandle = prepareDatahandleForIntegration( ... - 'jumpSensitivityRHS', ... - 'solver', func2str(solverStrict), ... + 'rhsJumpSensitivity', ... + 'solver', solverStrict, ... 'options', optionsStrict); solStrict = solveODE(datahandle, [t0 tEnd], x0, p); diff --git a/toolbox/examples/statejump/jumpSensitivities/jumpSensitivityRHS.m b/toolbox/examples/statejump/jumpSensitivities/rhsJumpSensitivity.m similarity index 89% rename from toolbox/examples/statejump/jumpSensitivities/jumpSensitivityRHS.m rename to toolbox/examples/statejump/jumpSensitivities/rhsJumpSensitivity.m index 6d121df6..8db37471 100644 --- a/toolbox/examples/statejump/jumpSensitivities/jumpSensitivityRHS.m +++ b/toolbox/examples/statejump/jumpSensitivities/rhsJumpSensitivity.m @@ -1,4 +1,4 @@ -function dx = jumpSensitivityRHS(~, x, p) +function dx = rhsJumpSensitivity(~, x, p) %JUMPSENSITIVITYRHS A simple jumping model for testing sensitivity computation across jumps. dx = 0; sigma = x(1) - (1/p(1)); diff --git a/toolbox/examples/statejump/bounceball.m b/toolbox/examples/statejump/runBounceball.m similarity index 90% rename from toolbox/examples/statejump/bounceball.m rename to toolbox/examples/statejump/runBounceball.m index f0295246..be415ef8 100644 --- a/toolbox/examples/statejump/bounceball.m +++ b/toolbox/examples/statejump/runBounceball.m @@ -12,8 +12,8 @@ tEnd = 20; % zeno begins (analytically) at 20.3935964107270316 for these particular data x0 = [h0; v0]; -datahandle = prepareDatahandleForIntegration('bounceballRHS', ... - 'solver', func2str(solver), ... +datahandle = prepareDatahandleForIntegration('rhsBounceball', ... + 'solver', solver, ... 'options', options); sol = solveODE(datahandle, [t0 tEnd], x0, p); diff --git a/toolbox/examples/statejump/sinCosMain.m b/toolbox/examples/statejump/sinCosMain.m index 1fd53d1c..d6fe83f6 100644 --- a/toolbox/examples/statejump/sinCosMain.m +++ b/toolbox/examples/statejump/sinCosMain.m @@ -6,7 +6,7 @@ p = 0; x0 = [0; 1]; -datahandle = prepareDatahandleForIntegration('sinCosRHS', 'solver', func2str(solver), 'options', options); +datahandle = prepareDatahandleForIntegration('sinCosRHS', 'solver', solver, 'options', options); sol = solveODE(datahandle, [t0 tF], x0, p); T = linspace(t0, tF, 100); diff --git a/toolbox/examples/subway/Sensitivities/Plot_Sensitivities_NewYork.m b/toolbox/examples/subway/Sensitivities/Plot_Sensitivities_NewYork.m index 0eeb8ff5..9955fe06 100644 --- a/toolbox/examples/subway/Sensitivities/Plot_Sensitivities_NewYork.m +++ b/toolbox/examples/subway/Sensitivities/Plot_Sensitivities_NewYork.m @@ -5,7 +5,7 @@ parameters = nysscc_getPhysicsParameters_vector(); odeoptionssubwaymodel = odeset( 'AbsTol', 1e-20, 'RelTol', 1e-10); -datahandle = prepareDatahandleForIntegration('newYorkCitySubwayModelRhs_wrapped', 'integrator', func2str(integrator), 'options', odeoptionssubwaymodel); +datahandle = prepareDatahandleForIntegration('rhsNewYorkCitySubwayModelWrapped', 'integrator', integrator, 'options', odeoptionssubwaymodel); sol = solveODE(datahandle, tspan, initValues, parameters); sol_ode45 = ode45(@(t,x) newYorkCitySubwayModelRhs(t,x, nysscc_getPhysicsParameters()),tspan, initValues,odeoptionssubwaymodel); diff --git a/toolbox/examples/subway/Sensitivities/newYorkCitySubwayModelRhs_wrapped.m b/toolbox/examples/subway/Sensitivities/rhsNewYorkCitySubwayModelWrapped.m similarity index 98% rename from toolbox/examples/subway/Sensitivities/newYorkCitySubwayModelRhs_wrapped.m rename to toolbox/examples/subway/Sensitivities/rhsNewYorkCitySubwayModelWrapped.m index 6e6fd0a1..da396b08 100644 --- a/toolbox/examples/subway/Sensitivities/newYorkCitySubwayModelRhs_wrapped.m +++ b/toolbox/examples/subway/Sensitivities/rhsNewYorkCitySubwayModelWrapped.m @@ -1,4 +1,4 @@ -function dy = newYorkCitySubwayModelRhs_wrapped(t, y, p) +function dy = rhsNewYorkCitySubwayModelWrapped(t, y, p) pp.Tmax = p(1); pp.S = p(2); diff --git a/toolbox/examples/subway/newYorkCitySubwayModelRhs.m b/toolbox/examples/subway/rhsNewYorkCitySubwayModel.m similarity index 98% rename from toolbox/examples/subway/newYorkCitySubwayModelRhs.m rename to toolbox/examples/subway/rhsNewYorkCitySubwayModel.m index e51ec295..8b96e548 100644 --- a/toolbox/examples/subway/newYorkCitySubwayModelRhs.m +++ b/toolbox/examples/subway/rhsNewYorkCitySubwayModel.m @@ -1,7 +1,7 @@ % newYorkCitySubwayRhs02.m -> version two % right-hand side function of the new york city subway model -function dy = newYorkCitySubwayModelRhs(t, y, p) +function dy = rhsNewYorkCitySubwayModel(t, y, p) % 't': time % 'y': states % 'p': parameters diff --git a/toolbox/examples/subway/newYorkCityExampleIntegrationForThesis.m b/toolbox/examples/subway/runNewYorkCityExampleIntegrationForThesis.m similarity index 97% rename from toolbox/examples/subway/newYorkCityExampleIntegrationForThesis.m rename to toolbox/examples/subway/runNewYorkCityExampleIntegrationForThesis.m index b3f8fa0e..d7ca2a72 100644 --- a/toolbox/examples/subway/newYorkCityExampleIntegrationForThesis.m +++ b/toolbox/examples/subway/runNewYorkCityExampleIntegrationForThesis.m @@ -1,15 +1,14 @@ % new York city integration integrator = @ode45; - timeinterval = [0.0, 65.0]; initstates = [0.0, 0.0, 0.0].'; odeoptionssubwaymodel = odeset( 'AbsTol', 1e-20, 'RelTol', 1e-10); %% tic -hdlnyc = prepareDatahandleForIntegration('newYorkCitySubwayModelRhs', ... - 'integrator', func2str(integrator), 'options', odeoptionssubwaymodel); +hdlnyc = prepareDatahandleForIntegration('rhsNewYorkCitySubwayModel', ... + 'integrator', integrator, 'options', odeoptionssubwaymodel); toc %% @@ -22,7 +21,7 @@ toc -sol = ode45(@(t,x) newYorkCitySubwayModelRhs(t,x, nysscc_getPhysicsParameters()),timeinterval, initstates,odeoptionssubwaymodel); +sol = ode45(@(t,x) rhsNewYorkCitySubwayModel(t,x, nysscc_getPhysicsParameters()),timeinterval, initstates,odeoptionssubwaymodel); %% hold on From 2fd8857232c1dd3b575ec23b9da8bf9b2bd69fe7 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 20 Aug 2026 14:49:38 +0200 Subject: [PATCH 17/43] more work for example rename --- ...HS.m => rhsCanonicalExampleReformulated.m} | 2 +- .../rhsExtendedCanonicalExample.m | 32 ---------- .../canonicalExample/runAnalyticalSolution.m | 2 +- .../runExtendedCanonicalExample.m | 40 ------------- .../canonicalExample/sensCanonicalExample.m | 2 +- .../daeExampleWorkshop/README_DAE_Workshop.md | 20 +++++++ .../rhsDaeExampleWorkshop.m | 16 +++++ .../runDaeExampleWorkshop.m | 60 +++++++++++++++++++ .../confidenceIntervalHelper.m | 42 +++++++++++++ .../runCabbage.m | 6 ++ 10 files changed, 147 insertions(+), 75 deletions(-) rename toolbox/examples/canonicalExample/{reformulatedCanonicalExampleRHS.m => rhsCanonicalExampleReformulated.m} (77%) delete mode 100644 toolbox/examples/canonicalExample/rhsExtendedCanonicalExample.m delete mode 100644 toolbox/examples/canonicalExample/runExtendedCanonicalExample.m create mode 100644 toolbox/examples/daeExamples/daeExampleWorkshop/README_DAE_Workshop.md create mode 100644 toolbox/examples/daeExamples/daeExampleWorkshop/rhsDaeExampleWorkshop.m create mode 100644 toolbox/examples/daeExamples/daeExampleWorkshop/runDaeExampleWorkshop.m create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m diff --git a/toolbox/examples/canonicalExample/reformulatedCanonicalExampleRHS.m b/toolbox/examples/canonicalExample/rhsCanonicalExampleReformulated.m similarity index 77% rename from toolbox/examples/canonicalExample/reformulatedCanonicalExampleRHS.m rename to toolbox/examples/canonicalExample/rhsCanonicalExampleReformulated.m index 30b33d50..fbafb4b0 100644 --- a/toolbox/examples/canonicalExample/reformulatedCanonicalExampleRHS.m +++ b/toolbox/examples/canonicalExample/rhsCanonicalExampleReformulated.m @@ -1,4 +1,4 @@ -function dx = reformulatedCanonicalExampleRHS(t,x,p) +function dx = rhsCanonicalExampleReformulated(t,x,p) dx = zeros(2,1); dx(1) = 0.01 * t.^2 + x(2).^3; diff --git a/toolbox/examples/canonicalExample/rhsExtendedCanonicalExample.m b/toolbox/examples/canonicalExample/rhsExtendedCanonicalExample.m deleted file mode 100644 index 4da017fb..00000000 --- a/toolbox/examples/canonicalExample/rhsExtendedCanonicalExample.m +++ /dev/null @@ -1,32 +0,0 @@ -function dx = rhsExtendedCanonicalExample(t,x,p) -dx = zeros(2,1); -%dx(1) = 0.01 * t.^2 + x(2).^2; -dx(1) = 0.01*t + x(2); -dx(2) = 0; - -% a = 1:10:41; -% dx(2) = aNiceFunction(x,t,p, a, dx(2)); - -% dx(2) = checkFeasibility(... -% x, t, p, ... % standardinput (in general for switchingpoint detection not necessarly required) -% 2, 3, ... % intervalboarders -% 1, dx(2), 1); % - - -a = 1:10:101; - -dx(2) = aNiceFunction(x,t,p,a, dx(2)); - -a = a + 5000; -dx(2) = aNiceFunction(x,t,p,a, dx(2)); - -a = a + 5000; -dx(2) = aNiceFunction(x,t,p,a, dx(2)); - -a = a + 5000; -dx(2) = aNiceFunction(x,t,p,a, dx(2)); - - - -end - diff --git a/toolbox/examples/canonicalExample/runAnalyticalSolution.m b/toolbox/examples/canonicalExample/runAnalyticalSolution.m index 92fca3bf..0e0723bd 100644 --- a/toolbox/examples/canonicalExample/runAnalyticalSolution.m +++ b/toolbox/examples/canonicalExample/runAnalyticalSolution.m @@ -44,7 +44,7 @@ %set(gca,'XTick',0:5:20); %% Plot analytical solution vs ode45 -canonicalExampleRHS_ode45 = @(t,y) canonicalExampleRHS(t,y,p); +canonicalExampleRHS_ode45 = @(t,y) rhsCanonicalExample(t,y,p); sol_ode45 = ode45(canonicalExampleRHS_ode45, tspan, y0); figure diff --git a/toolbox/examples/canonicalExample/runExtendedCanonicalExample.m b/toolbox/examples/canonicalExample/runExtendedCanonicalExample.m deleted file mode 100644 index 5eae7939..00000000 --- a/toolbox/examples/canonicalExample/runExtendedCanonicalExample.m +++ /dev/null @@ -1,40 +0,0 @@ -integrator = @ode45; -timeinterval = [0, 100]; -initstates = [1 0]; -%p = 5.437; -p = 0.5; -%% - -options = odeset('AbsTol', 1e-14, 'RelTol', 1e-12); - -filename = 'canonicalExampleRHS_extended'; -clc -tic -hdlrhs_test = prepareDatahandleForIntegration(filename, 'integrator', func2str(integrator), 'options', options); -toc - - -%% - -clc - -tic -[sol_rhs_test, datanyc] = solveODE(hdlrhs_test, timeinterval, initstates, p); -toc - -%% -tic -ode = ode45(@(t,x) canonicalExampleRHS_extended(t,x,p), timeinterval, initstates, options); -toc - - -%% -hold on -plot(sol_rhs_test.x, sol_rhs_test.y(1,:), '*r', sol_rhs_test.x, sol_rhs_test.y(2,:), '*r') -plot(ode.x, ode.y(1,:), 'k', ode.x, ode.y(2,:), 'k') -hold off - - - - - diff --git a/toolbox/examples/canonicalExample/sensCanonicalExample.m b/toolbox/examples/canonicalExample/sensCanonicalExample.m index 5d6b19ef..ef874e85 100644 --- a/toolbox/examples/canonicalExample/sensCanonicalExample.m +++ b/toolbox/examples/canonicalExample/sensCanonicalExample.m @@ -2,7 +2,7 @@ integrator = @ode45; odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); -datahandle = prepareDatahandleForIntegration('canonicalExampleRHS', 'integrator', integrator, 'options', odeoptionsrhs_test); +datahandle = prepareDatahandleForIntegration('rhsCanonicalExample', 'integrator', integrator, 'options', odeoptionsrhs_test); tspan = [0 20]; initialvalues = [1;0]; diff --git a/toolbox/examples/daeExamples/daeExampleWorkshop/README_DAE_Workshop.md b/toolbox/examples/daeExamples/daeExampleWorkshop/README_DAE_Workshop.md new file mode 100644 index 00000000..ef3fe8f0 --- /dev/null +++ b/toolbox/examples/daeExamples/daeExampleWorkshop/README_DAE_Workshop.md @@ -0,0 +1,20 @@ +# README Differential Algebraic Equation Example (from Workshop 2026) + +The mathematical formulation for ´rhsDaeExampleWorkshop.m´ +Let $t \in [0,3]$, $\text{x} = (x_1, x_2)^T$: + +$$ + (D) \quad + \begin{cases} + \dot{x}_ 1 = f(t,x,p) = + \begin{cases} + x_2, & \text{if } x_2 < p \\ + 0, & \text{if } x_2 \geq p + \end{cases} \\ + g(t,x,p) = x_1 + x_2 + 10(x_1^5 + x_2^3) = 0 \\ + \text{x}_0 = (1.0, -1.0)^T, p = -0.3 + \end{cases} +$$ + +On a larger scale, ´ode15s´ solution looks correct, but it fails around the switch at $t_s \approx 1.068$. When we zoom in, we see that ´ode15s´ does not notice the switch but instead fits a polynomial where the dynamics should change to constant immediately. +Since ´ode15s´ assumes a continuously differentiable solution trajectory and does not feature switching point detection, it is the wrong means of solving this problem. diff --git a/toolbox/examples/daeExamples/daeExampleWorkshop/rhsDaeExampleWorkshop.m b/toolbox/examples/daeExamples/daeExampleWorkshop/rhsDaeExampleWorkshop.m new file mode 100644 index 00000000..58055e61 --- /dev/null +++ b/toolbox/examples/daeExamples/daeExampleWorkshop/rhsDaeExampleWorkshop.m @@ -0,0 +1,16 @@ +function f = rhsDaeExampleWorkshop(~, x, p) + + f = zeros(2,1); + + % algebraic constraint + z = x(1) + x(2) + 10*(x(1)^5 + x(2)^3); + f(2) = z; + + % differential equation + if x(2) < p + f(1) = x(2); + else + f(1) = 0; + end + +end diff --git a/toolbox/examples/daeExamples/daeExampleWorkshop/runDaeExampleWorkshop.m b/toolbox/examples/daeExamples/daeExampleWorkshop/runDaeExampleWorkshop.m new file mode 100644 index 00000000..ebb7f69e --- /dev/null +++ b/toolbox/examples/daeExamples/daeExampleWorkshop/runDaeExampleWorkshop.m @@ -0,0 +1,60 @@ +% Differential Algebraic Equation Example +% from Workshop 2026 (more info, see README_DAE_Workshop.md) + +%% Setup +integrator = @ode15s; +x0 = [1; -1]; +t0 = 0; +tf = 3; +tspan = [t0 tf]; +p = -0.3; + +% mass matrix +M = [1 0; 0 0]; +opts = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-9,'RelTol', 1e-5); + + +%% Solution with IFDIFF +filename = 'rhsDaeExampleWorkshop'; +datahandle = prepareDatahandleForIntegration(filename, 'integrator', integrator, 'options', opts); +sol_ifdiff = solveODE(datahandle, tspan, x0, p); + +%% Solution with ode15s +sol_plain = integrator(@(t, x) rhsDaeExampleWorkshop(t, x, p), tspan, x0, opts); + + +%% Plots + +t_eval = t0:1e-6:tf; +y_ifdiff = deval(sol_ifdiff, t_eval); +y_plain = deval(sol_plain, t_eval); + +% plot colors +c_ifdiff = [0.85, 0.33, 0.1]; +c_plain = [0.0, 0.45, 0.74]; + + +% large scale plot +% on a larger scale both solutions look correct +fig1 = figure(1); +clf(fig1, "reset"); +hold("on"); +IFDIFF_plot = plot(t_eval, y_ifdiff, '-', 'Color', c_ifdiff, 'LineWidth', 1.2, 'DisplayName', 'IFDIFF'); +Plain_plot = plot(t_eval, y_plain, '--', 'Color', c_plain, 'DisplayName', 'plain ode15s'); +legend([Plain_plot(1), IFDIFF_plot(1)]); +grid("on"); +hold("off"); + +% zoom in at switching point +% ode15s interpolates around the switch whereas ifdiff detects and handles +% it correctly +fig2 = figure(2); +clf(fig2, "reset"); +hold("on"); +IFDIFF_plot = plot(t_eval, y_ifdiff, '-', 'Color', c_ifdiff, 'DisplayName', 'IFDIFF'); +Plain_plot = plot(t_eval, y_plain, '-', 'Color', c_plain, 'DisplayName', 'plain ode15s'); +xlim([1.0664 1.0702]) +ylim([0.4271 0.4277]) +legend([Plain_plot(1), IFDIFF_plot(1)]); +grid("on"); +hold("off"); \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m b/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m new file mode 100644 index 00000000..3cef00fd --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m @@ -0,0 +1,42 @@ +function ci = confidenceIntervalHelper(beta, resid, varargin) + % confidenceIntervalHelper Computes confidence intervals like nlparci + % + % + % varargin: + + J = []; + Sigma = []; + alpha = 0.05; + if nargin>=3 && ischar(varargin{1}) + okargs = {'jacobian' 'covariance' 'alpha'}; + defaults = {[] [] 0.05}; + [eid emsg J Sigma alpha] = statgetargs(okargs,defaults,varargin{:}); + if ~isempty(eid) + error(sprintf('stats:nlparci:%s',eid),emsg); + end + else + % CI = NLPARCI(BETA,RESID,J,ALPHA) + if nargin>=3, J = varargin{1}; end + if nargin>=4, alpha = varargin{2}; end + end + if nargin<=2 || isempty(resid) || (isempty(J) && isempty(Sigma)) + error('stats:nlparci:TooFewInputs',... + 'Requires BETA, RESID, and either J or SIGMA.'); + end; + if ~isreal(beta) || ~isreal(J) + error('stats:nlparci:ComplexParams',... + ['Cannot compute confidence intervals for complex parameters. You must\n' ... + 'reparameterize the model into its real and imaginary parts.']); + end + if isempty(alpha) + alpha = 0.05; + elseif ~isscalar(alpha) || ~isnumeric(alpha) || alpha<=0 || alpha >= 1 + error('stats:nlparci:BadAlpha',... + 'ALPHA must be a scalar between 0 and 1.'); + end + + + % Calculate confidence interval + delta = se * tinv(1-alpha/2,v); + ci = [(beta(:) - delta) (beta(:) + delta)]; +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m index bca1c6e1..0354aa3a 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m @@ -41,7 +41,13 @@ percent = (param_opt*100./[getParamsCabbage();2.48252;0;0])-100*param_opt; %% Joint confidence intervals +<<<<<<< HEAD %CI = nlparci(param_opt,residual,'jacobian',jacobian); +======= +% if Statistics&ML toolbox is installed, use nlparci instead of the helper +% CI = nlparci(param_opt,residual,'jacobian',jacobian); +CI = confidenceIntervalHelper(param_opt, residual, jacobian, 0.05); +>>>>>>> 60a6498 (more work for example rename) %% Solution with estimated parameters From 3c2df5fca64f0d0c02b97d0050dfa27212ed2148 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 27 Aug 2026 16:14:58 +0200 Subject: [PATCH 18/43] Added CI computation for WhiteCabbage and further rename in Live Examples --- .../rhsCanonicalExampleReformulated.m | 19 ----- .../liveExamples/CanonicalSensitivities.mlx | Bin 125753 -> 0 bytes .../liveExamples/canonicalExRHS_test_live.mlx | Bin 84796 -> 0 bytes .../liveExamples/runCanonicalExampleLive.mlx | Bin 0 -> 64586 bytes .../liveExamples/sensCanonicalExample.mlx | Bin 0 -> 65743 bytes .../HelpersWhiteCabbage/BetaCdf.m | 41 ++++++++++ .../HelpersWhiteCabbage/BetaInv.m | 73 ++++++++++++++++++ .../HelpersWhiteCabbage/BetaPdf.m | 38 +++++++++ .../HelpersWhiteCabbage/Tinv.m | 44 +++++++++++ .../HelpersWhiteCabbage/computeCI.m | 25 ++++++ .../generateResidualFunction.m | 0 .../getParamsCabbage.m | 0 .../parameterEstimationWhiteCabbage/betacdf.m | 41 ++++++++++ .../parameterEstimationWhiteCabbage/betainv.m | 73 ++++++++++++++++++ .../parameterEstimationWhiteCabbage/betapdf.m | 38 +++++++++ .../computeTinv.m | 44 +++++++++++ .../confidenceIntervalHelper.m | 42 ---------- .../runCabbage.m | 9 +-- 18 files changed, 419 insertions(+), 68 deletions(-) delete mode 100644 toolbox/examples/canonicalExample/rhsCanonicalExampleReformulated.m delete mode 100644 toolbox/examples/liveExamples/CanonicalSensitivities.mlx delete mode 100644 toolbox/examples/liveExamples/canonicalExRHS_test_live.mlx create mode 100644 toolbox/examples/liveExamples/runCanonicalExampleLive.mlx create mode 100644 toolbox/examples/liveExamples/sensCanonicalExample.mlx create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaPdf.m create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/Tinv.m create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m rename toolbox/examples/parameterEstimationWhiteCabbage/{ => HelpersWhiteCabbage}/generateResidualFunction.m (100%) rename toolbox/examples/parameterEstimationWhiteCabbage/{ => HelpersWhiteCabbage}/getParamsCabbage.m (100%) create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/betacdf.m create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/betainv.m create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/betapdf.m create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/computeTinv.m delete mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m diff --git a/toolbox/examples/canonicalExample/rhsCanonicalExampleReformulated.m b/toolbox/examples/canonicalExample/rhsCanonicalExampleReformulated.m deleted file mode 100644 index fbafb4b0..00000000 --- a/toolbox/examples/canonicalExample/rhsCanonicalExampleReformulated.m +++ /dev/null @@ -1,19 +0,0 @@ -function dx = rhsCanonicalExampleReformulated(t,x,p) - -dx = zeros(2,1); -dx(1) = 0.01 * t.^2 + x(2).^3; - -if x(1) > p(1) + 0.5 - dx(2) = 0; -else - if x(1) > p(1) - dx(2) = 5; - else - dx(2) = 0; - end -end - -end - - - diff --git a/toolbox/examples/liveExamples/CanonicalSensitivities.mlx b/toolbox/examples/liveExamples/CanonicalSensitivities.mlx deleted file mode 100644 index d4486ded3b73a93b7f3e17dec967a54e8a99306a..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 125753 zcmV)tK$pKzO9KQH000080000X0NKVps5Joq0IdT6022TJ09!+EZggdCbYE0?aAk8{ 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z0H$9bdX6U6P7L(_djF^3sQ^N>=Z23O`6yg6LfSrr8z03b7{!f$oFVX+#IQ7f_YGD7V$Ulw9 zzkvc?{|nInWK#YK_0QYz-%ycn{|nTAyD9&P`OnGzZ_Kathkrjv{@J~MOnrH2NT`2F S!hF3rzQ!luE4?5H$o~O?-1*A@ literal 0 HcmV?d00001 diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m new file mode 100644 index 00000000..bda690bd --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m @@ -0,0 +1,41 @@ +function cdf = BetaCdf (x, a, b) +% BETACDF CDF of the Beta distribution +% CDF = betacdf(X, A, B) computes, for each element of X, the CDF +% at X of the beta distribution with parameters A and B (i.e. +% mean of the distribution is A/(A+B) and variance is +% A*B/(A+B)^2/(A+B+1) ). + +if (nargin ~= 3) + error ('betacdf: you should provide three arguments'); +end + +if (~isscalar (a) || ~isscalar(b)) + [retval, x, a, b] = common_size (x, a, b); + if (retval > 0) + error ('betacdf: x, a and b must be of common size or scalar'); + end +end + +sz = size(x); +cdf = zeros (sz); + +k = find (~(a > 0) | ~(b > 0) | isnan (x)); +if (any (k)) + cdf (k) = NaN; +end + +k = find ((x >= 1) & (a > 0) & (b > 0)); +if (any (k)) + cdf (k) = 1; +end + +k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); +if (any (k)) + if (isscalar (a) && isscalar(b)) + cdf (k) = betainc (x(k), a, b); + else + cdf (k) = betainc (x(k), a(k), b(k)); + end +end + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m new file mode 100644 index 00000000..a5dc47bb --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m @@ -0,0 +1,73 @@ +function inv = BetaInv (x, a, b) +% BETAINV Quantile function of the Beta distribution +% INV = betainv(X, A, B) computes, for each element of X, the +% quantile (the inverse of the CDF) at X of the Beta distribution +% with parameters A and B (i.e. mean of the distribution is +% A/(A+B) and variance is A*B/(A+B)^2/(A+B+1) ). + +if (nargin ~= 3) + error ('betainv: you must give three arguments'); +end + +if (~isscalar (a) || ~isscalar(b)) + [retval, x, a, b] = common_size (x, a, b); + if (retval > 0) + error ('betainv: x, a and b must be of common size or scalars'); + end +end + +sz = size (x); +inv = zeros (sz); + +k = find ((x < 0) | (x > 1) | ~(a > 0) | ~(b > 0) | isnan (x)); +if (any (k)) + inv (k) = NaN; +end + +k = find ((x == 1) & (a > 0) & (b > 0)); +if (any (k)) + inv (k) = 1; +end + +k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); +if (any (k)) + if (~isscalar(a) || ~isscalar(b)) + a = a (k); + b = b (k); + y = a ./ (a + b); + else + y = a / (a + b) * ones (size (k)); + end + x = x (k); + l = find (y < eps); + if (any (l)) + y(l) = sqrt (eps) * ones (length (l), 1); + end + l = find (y > 1 - eps); + if (any (l)) + y(l) = 1 - sqrt (eps) * ones (length (l), 1); + end + + y_old = y; + for i = 1 : 10000 + h = (BetaCdf (y_old, a, b) - x) ./ BetaPdf (y_old, a, b); + y_new = y_old - h; + ind = find (y_new <= eps); + if (any (ind)) + y_new (ind) = y_old (ind) / 10; + end + ind = find (y_new >= 1 - eps); + if (any (ind)) + y_new (ind) = 1 - (1 - y_old (ind)) / 10; + end + h = y_old - y_new; + if (max (abs (h)) < sqrt (eps)) + break + end + y_old = y_new; + end + + inv (k) = y_new; +end + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaPdf.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaPdf.m new file mode 100644 index 00000000..ee8d4b48 --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaPdf.m @@ -0,0 +1,38 @@ +function pdf = BetaPdf (x, a, b) +% BETAPDF PDF of the Beta distribution +% PDF = betapdf(X, A, B) computes, for each element of X, the PDF +% at X of the beta distribution with parameters A and B (i.e. +% mean of the distribution is A/(A+B) and variance is +% A*B/(A+B)^2/(A+B+1) ). + +if (nargin ~= 3) + error ('betapdf: you must give three arguments'); +end + +if (~isscalar (a) || ~isscalar(b)) + [retval, x, a, b] = common_size (x, a, b); + if (retval > 0) + error ('betapdf: x, a and b must be of common size or scalar'); + end +end + +sz = size (x); +pdf = zeros (sz); + +k = find (~(a > 0) | ~(b > 0) | isnan (x)); +if (any (k)) + pdf (k) = NaN; +end + +k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); +if (any (k)) + if (isscalar(a) && isscalar(b)) + pdf(k) = exp ((a - 1) .* log (x(k)) ... + + (b - 1) .* log (1 - x(k))-gammaln(a)-gammaln(b)+gammaln(a+b)); + else + pdf(k) = exp ((a(k) - 1) .* log (x(k)) ... + + (b(k) - 1) .* log (1 - x(k))-gammaln(a(k))-gammaln(b(k))+gammaln(a(k)+b(k))); + end +end + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/Tinv.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/Tinv.m new file mode 100644 index 00000000..60429616 --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/Tinv.m @@ -0,0 +1,44 @@ +function inv = Tinv (x, n) + + if (nargin ~= 2) + error("tinv: Incorrect usage: inv = tinv(x, n)"); + end + + if (~isreal (x) || ~isreal (n)) + error ("tinv: X and N must not be complex"); + end + + if (isa (x, "single") || isa (n, "single")) + inv = NaN (size (x), "single"); + else + inv = NaN (size (x)); + end + + k = (x == 0) & (n > 0); + inv(k) = -Inf; + + k = (x == 1) & (n > 0); + inv(k) = Inf; + + if (isscalar (n)) + k = (x > 0) & (x < 1); + if ((n > 0) && (n < 10000)) + inv(k) = (sign (x(k) - 1/2) ... + .* sqrt (n * (1 ./ BetaInv (2*min (x(k), 1 - x(k)), ... + n/2, 1/2) - 1))); + elseif (n >= 10000) + %% For large n, use the quantiles of the standard normal + inv(k) = sqrt (2) * erfinv (2 * x(k) - 1); + end + else + k = (x > 0) & (x < 1) & (n > 0) & (n < 10000); + inv(k) = (sign (x(k) - 1/2) ... + .* sqrt (n(k) .* (1 ./ BetaInv (2*min (x(k), 1 - x(k)), ... + n(k)/2, 1/2) - 1))); + + %% For large n, use the quantiles of the standard normal + k = (x > 0) & (x < 1) & (n >= 10000); + inv(k) = sqrt (2) * erfinv (2 * x(k) - 1); + end + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m new file mode 100644 index 00000000..a8c3f353 --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m @@ -0,0 +1,25 @@ +function CI = computeCI(param, res, J) +%COMPUTECI Summary of this function goes here +% Detailed explanation goes here + +% get degrees of freedom +np = numel(param); +nr = numel(res); +dof = nr - np; + +s2 = (transpose(res) * res) / dof; + +% QR factorization is badly conditioned +[~,R] = qr(J,0); +Rinv = R \ eye(size(R)); +CovP = s2 * (Rinv * transpose(Rinv)); + +% we use 1-alpha=0.95 => alpha=0.05 +% and hence tcrit=1-alpha/2 = 0.975 +tcrit = computeTinv(0.975, dof); + +SE = sqrt(diag(CovP)); + +CI = [param - tcrit*SE, param + tcrit*SE]; + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/generateResidualFunction.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/generateResidualFunction.m similarity index 100% rename from toolbox/examples/parameterEstimationWhiteCabbage/generateResidualFunction.m rename to toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/generateResidualFunction.m diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/getParamsCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/getParamsCabbage.m similarity index 100% rename from toolbox/examples/parameterEstimationWhiteCabbage/getParamsCabbage.m rename to toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/getParamsCabbage.m diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/betacdf.m b/toolbox/examples/parameterEstimationWhiteCabbage/betacdf.m new file mode 100644 index 00000000..bda690bd --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/betacdf.m @@ -0,0 +1,41 @@ +function cdf = BetaCdf (x, a, b) +% BETACDF CDF of the Beta distribution +% CDF = betacdf(X, A, B) computes, for each element of X, the CDF +% at X of the beta distribution with parameters A and B (i.e. +% mean of the distribution is A/(A+B) and variance is +% A*B/(A+B)^2/(A+B+1) ). + +if (nargin ~= 3) + error ('betacdf: you should provide three arguments'); +end + +if (~isscalar (a) || ~isscalar(b)) + [retval, x, a, b] = common_size (x, a, b); + if (retval > 0) + error ('betacdf: x, a and b must be of common size or scalar'); + end +end + +sz = size(x); +cdf = zeros (sz); + +k = find (~(a > 0) | ~(b > 0) | isnan (x)); +if (any (k)) + cdf (k) = NaN; +end + +k = find ((x >= 1) & (a > 0) & (b > 0)); +if (any (k)) + cdf (k) = 1; +end + +k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); +if (any (k)) + if (isscalar (a) && isscalar(b)) + cdf (k) = betainc (x(k), a, b); + else + cdf (k) = betainc (x(k), a(k), b(k)); + end +end + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/betainv.m b/toolbox/examples/parameterEstimationWhiteCabbage/betainv.m new file mode 100644 index 00000000..7228b14f --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/betainv.m @@ -0,0 +1,73 @@ +function inv = BetaInv (x, a, b) +% BETAINV Quantile function of the Beta distribution +% INV = betainv(X, A, B) computes, for each element of X, the +% quantile (the inverse of the CDF) at X of the Beta distribution +% with parameters A and B (i.e. mean of the distribution is +% A/(A+B) and variance is A*B/(A+B)^2/(A+B+1) ). + +if (nargin ~= 3) + error ('betainv: you must give three arguments'); +end + +if (~isscalar (a) || ~isscalar(b)) + [retval, x, a, b] = common_size (x, a, b); + if (retval > 0) + error ('betainv: x, a and b must be of common size or scalars'); + end +end + +sz = size (x); +inv = zeros (sz); + +k = find ((x < 0) | (x > 1) | ~(a > 0) | ~(b > 0) | isnan (x)); +if (any (k)) + inv (k) = NaN; +end + +k = find ((x == 1) & (a > 0) & (b > 0)); +if (any (k)) + inv (k) = 1; +end + +k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); +if (any (k)) + if (~isscalar(a) || ~isscalar(b)) + a = a (k); + b = b (k); + y = a ./ (a + b); + else + y = a / (a + b) * ones (size (k)); + end + x = x (k); + l = find (y < eps); + if (any (l)) + y(l) = sqrt (eps) * ones (length (l), 1); + end + l = find (y > 1 - eps); + if (any (l)) + y(l) = 1 - sqrt (eps) * ones (length (l), 1); + end + + y_old = y; + for i = 1 : 10000 + h = (betacdf (y_old, a, b) - x) ./ betapdf (y_old, a, b); + y_new = y_old - h; + ind = find (y_new <= eps); + if (any (ind)) + y_new (ind) = y_old (ind) / 10; + end + ind = find (y_new >= 1 - eps); + if (any (ind)) + y_new (ind) = 1 - (1 - y_old (ind)) / 10; + end + h = y_old - y_new; + if (max (abs (h)) < sqrt (eps)) + break + end + y_old = y_new; + end + + inv (k) = y_new; +end + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/betapdf.m b/toolbox/examples/parameterEstimationWhiteCabbage/betapdf.m new file mode 100644 index 00000000..ee8d4b48 --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/betapdf.m @@ -0,0 +1,38 @@ +function pdf = BetaPdf (x, a, b) +% BETAPDF PDF of the Beta distribution +% PDF = betapdf(X, A, B) computes, for each element of X, the PDF +% at X of the beta distribution with parameters A and B (i.e. +% mean of the distribution is A/(A+B) and variance is +% A*B/(A+B)^2/(A+B+1) ). + +if (nargin ~= 3) + error ('betapdf: you must give three arguments'); +end + +if (~isscalar (a) || ~isscalar(b)) + [retval, x, a, b] = common_size (x, a, b); + if (retval > 0) + error ('betapdf: x, a and b must be of common size or scalar'); + end +end + +sz = size (x); +pdf = zeros (sz); + +k = find (~(a > 0) | ~(b > 0) | isnan (x)); +if (any (k)) + pdf (k) = NaN; +end + +k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); +if (any (k)) + if (isscalar(a) && isscalar(b)) + pdf(k) = exp ((a - 1) .* log (x(k)) ... + + (b - 1) .* log (1 - x(k))-gammaln(a)-gammaln(b)+gammaln(a+b)); + else + pdf(k) = exp ((a(k) - 1) .* log (x(k)) ... + + (b(k) - 1) .* log (1 - x(k))-gammaln(a(k))-gammaln(b(k))+gammaln(a(k)+b(k))); + end +end + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/computeTinv.m b/toolbox/examples/parameterEstimationWhiteCabbage/computeTinv.m new file mode 100644 index 00000000..60429616 --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/computeTinv.m @@ -0,0 +1,44 @@ +function inv = Tinv (x, n) + + if (nargin ~= 2) + error("tinv: Incorrect usage: inv = tinv(x, n)"); + end + + if (~isreal (x) || ~isreal (n)) + error ("tinv: X and N must not be complex"); + end + + if (isa (x, "single") || isa (n, "single")) + inv = NaN (size (x), "single"); + else + inv = NaN (size (x)); + end + + k = (x == 0) & (n > 0); + inv(k) = -Inf; + + k = (x == 1) & (n > 0); + inv(k) = Inf; + + if (isscalar (n)) + k = (x > 0) & (x < 1); + if ((n > 0) && (n < 10000)) + inv(k) = (sign (x(k) - 1/2) ... + .* sqrt (n * (1 ./ BetaInv (2*min (x(k), 1 - x(k)), ... + n/2, 1/2) - 1))); + elseif (n >= 10000) + %% For large n, use the quantiles of the standard normal + inv(k) = sqrt (2) * erfinv (2 * x(k) - 1); + end + else + k = (x > 0) & (x < 1) & (n > 0) & (n < 10000); + inv(k) = (sign (x(k) - 1/2) ... + .* sqrt (n(k) .* (1 ./ BetaInv (2*min (x(k), 1 - x(k)), ... + n(k)/2, 1/2) - 1))); + + %% For large n, use the quantiles of the standard normal + k = (x > 0) & (x < 1) & (n >= 10000); + inv(k) = sqrt (2) * erfinv (2 * x(k) - 1); + end + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m b/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m deleted file mode 100644 index 3cef00fd..00000000 --- a/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m +++ /dev/null @@ -1,42 +0,0 @@ -function ci = confidenceIntervalHelper(beta, resid, varargin) - % confidenceIntervalHelper Computes confidence intervals like nlparci - % - % - % varargin: - - J = []; - Sigma = []; - alpha = 0.05; - if nargin>=3 && ischar(varargin{1}) - okargs = {'jacobian' 'covariance' 'alpha'}; - defaults = {[] [] 0.05}; - [eid emsg J Sigma alpha] = statgetargs(okargs,defaults,varargin{:}); - if ~isempty(eid) - error(sprintf('stats:nlparci:%s',eid),emsg); - end - else - % CI = NLPARCI(BETA,RESID,J,ALPHA) - if nargin>=3, J = varargin{1}; end - if nargin>=4, alpha = varargin{2}; end - end - if nargin<=2 || isempty(resid) || (isempty(J) && isempty(Sigma)) - error('stats:nlparci:TooFewInputs',... - 'Requires BETA, RESID, and either J or SIGMA.'); - end; - if ~isreal(beta) || ~isreal(J) - error('stats:nlparci:ComplexParams',... - ['Cannot compute confidence intervals for complex parameters. You must\n' ... - 'reparameterize the model into its real and imaginary parts.']); - end - if isempty(alpha) - alpha = 0.05; - elseif ~isscalar(alpha) || ~isnumeric(alpha) || alpha<=0 || alpha >= 1 - error('stats:nlparci:BadAlpha',... - 'ALPHA must be a scalar between 0 and 1.'); - end - - - % Calculate confidence interval - delta = se * tinv(1-alpha/2,v); - ci = [(beta(:) - delta) (beta(:) + delta)]; -end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m index 0354aa3a..fa2dc509 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m @@ -41,14 +41,9 @@ percent = (param_opt*100./[getParamsCabbage();2.48252;0;0])-100*param_opt; %% Joint confidence intervals -<<<<<<< HEAD -%CI = nlparci(param_opt,residual,'jacobian',jacobian); -======= -% if Statistics&ML toolbox is installed, use nlparci instead of the helper +% if Statistics&ML toolbox is installed, use nlparci instead of helper % CI = nlparci(param_opt,residual,'jacobian',jacobian); -CI = confidenceIntervalHelper(param_opt, residual, jacobian, 0.05); ->>>>>>> 60a6498 (more work for example rename) - +CI = computeCI(param_opt, residual, jacobian); %% Solution with estimated parameters initialvalues_opt = param_opt(10:12); From da9e255d564f55e05de8af79043c702b0448c2cd Mon Sep 17 00:00:00 2001 From: pilar Date: Sun, 30 Aug 2026 20:52:01 +0200 Subject: [PATCH 19/43] Rename in live examples and respective helpers; changes in state jump examples; deleted doubled functions for CI computation --- toolbox/examples/bounceball/rhsBounceball.m | 37 --------- toolbox/examples/bounceball/runBounceball.m | 36 --------- .../examples/liveExamples/FilippovLive.mlx | Bin 128348 -> 70900 bytes .../liveExamples/StateJumpExample.mlx | Bin 130688 -> 81174 bytes .../liveExamples/WhiteCabbageLive.mlx | Bin 102974 -> 8073 bytes ...{bounceballRHS_cp.m => rhsBounceball_cp.m} | 2 +- .../helperFunctions/simulateBouncingBall.m | 2 +- .../parameterEstimationWhiteCabbage/betacdf.m | 41 ---------- .../parameterEstimationWhiteCabbage/betainv.m | 73 ------------------ .../parameterEstimationWhiteCabbage/betapdf.m | 38 --------- .../computeTinv.m | 44 ----------- 11 files changed, 2 insertions(+), 271 deletions(-) delete mode 100644 toolbox/examples/bounceball/rhsBounceball.m delete mode 100644 toolbox/examples/bounceball/runBounceball.m rename toolbox/examples/liveExamples/helperFunctions/{bounceballRHS_cp.m => rhsBounceball_cp.m} (83%) delete mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/betacdf.m delete mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/betainv.m delete mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/betapdf.m delete mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/computeTinv.m diff --git a/toolbox/examples/bounceball/rhsBounceball.m b/toolbox/examples/bounceball/rhsBounceball.m deleted file mode 100644 index fec7d80f..00000000 --- a/toolbox/examples/bounceball/rhsBounceball.m +++ /dev/null @@ -1,37 +0,0 @@ -function dx = rhsBounceball(t, x, p) - % t: time - % x: state - % p: parameter vector - % p(1) is a bounce-parameter (currently not in use!) - % p(2) is object's mass - % p(3) is gravitational force - % - % This example implements a simple model of a ball bouncing in - % one dimension, i.e., horizontally. - % To avoid state-jumps, we allow the position x(1) of the ball - % to be negative. After integration, one should take the absolute - % value of x(1). - - dx = zeros(2,1); - m = p(2); - g = p(3); - threshold = 1e-6; - % if E - E = 0.5*m*x(2)^2 + m*g*x(1); - - % RHS logic - if E < threshold - g = 0; - else - if x(1)>=0 - g = exp(2*t)*g; - else - g = -exp(2*t)*g; - end - end - - - dx(1) = x(2); - dx(2) = -g/m; - -end \ No newline at end of file diff --git a/toolbox/examples/bounceball/runBounceball.m b/toolbox/examples/bounceball/runBounceball.m deleted file mode 100644 index 13ee29fe..00000000 --- a/toolbox/examples/bounceball/runBounceball.m +++ /dev/null @@ -1,36 +0,0 @@ -integrator = @ode45; -t0 = 0; -tf = 3; -timeinterval = [t0,tf]; -initstates = [0, 1]; -p = [0.9, 1, 9.81]; - -fprintf('Preprocessing...\n '); -odeoptions = odeset( 'AbsTol', 1e-14, 'RelTol', 1e-12); -filename = 'rhsBounceball'; -tic -handlerhs_test = prepareDatahandleForIntegration(filename, 'integrator', integrator, 'options', odeoptions); -toc - -fprintf('Integration with ifdiff/%s...\n ', func2str(integrator)); -tic -sol_rhs_test = solveODE(handlerhs_test, timeinterval, initstates, p); -toc - -% Switches -sw_pts = cell2mat(handlerhs_test.getData().SWP_detection.switchingpoints); -sw_pts_y = deval(sol_rhs_test, sw_pts); -n_sw_pts = max(size(handlerhs_test.getData().SWP_detection.switchingpoints)); -fprintf('Total number of switches during integration: %d \n', n_sw_pts); - -% Visualize solution -clf('reset'); -axis([0 20 0 1.1]); -lineWidth = 0.8; - -T_gridsize = 0.0001; -T = t0:T_gridsize:tf; -Y = deval(sol_rhs_test,T); -plot(T, abs(Y(1,:)), sw_pts, abs(sw_pts_y(1,:)), 'o', 'lineWidth', lineWidth); -legend('x_1(t)','Switches', 'Location', 'North'); -sgtitle("Zeno's phenomenon in model of bouncing ball"); \ No newline at end of file diff --git a/toolbox/examples/liveExamples/FilippovLive.mlx b/toolbox/examples/liveExamples/FilippovLive.mlx index 1b2878b24fc8667409b019406d976038c7ac640c..92794a2ae6bbe916d8e8d6a6acef0a21afa0a413 100644 GIT binary patch delta 69946 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zH`QU99fwU0djp&%x<6=3w!!y{){!_eO!`_8cn^Tk)0iATnkaYXk6$2`_rmG52v9B= z?AKi;U32F~^!nub8B20!Mie1rl>6i`K?vG3k>F#j9ano!EkOMRetQI?7v&(x@@_i+ z%405hD*Pj<@*bI^$3QyL4x8e+cs>sjc6JaJ*$V)GxZqX?3QsDGqhJ7_ECc{ZfEb{v z0%qp+IdvM!+p&0(eVnfB8o636pTuS%iQD_-E&J{@?5huaf9naDjSSI!CF-zHVu7Hd z-4bYJvCB5G4PA$;;6I=9DgV^amA!G)>%!i$Cz)3)r4Cqs-yU+#QF1C}-fDy+_=$iJ zve!nYL>(CGo)uBI`PANkoO|X@x#6|)-Jl-Q z^x$Yw#4ek1@hAT6l#m7=ImU9S`*0Z_u9BW3Ea6U75a&w6p zz`k7hX~j+QCsUhh_G76jn-d|t|2BnD9YHcc%R?hb1|1tgy|^XdY4_r`?>Xz zL&k5IkA9eP+urH{+;D_}%VAoj*u!1b(@NV_5vi&Oq6T72Cb!Tt__@FxW&&U664ekW zq8@TL=pdJ5D4)XMrr%8nJ>T`cOJ9GH(!|7%2hXan+GkKm5r^zs;)-}d*RS7TUO~p` zhR?ToaRSvUeNLaQg46+kFQ{_Rur4(Y1{~KB0(S3^pHW|;x++}nYxdjSU@GB1SXW* W=j 0) - error ('betacdf: x, a and b must be of common size or scalar'); - end -end - -sz = size(x); -cdf = zeros (sz); - -k = find (~(a > 0) | ~(b > 0) | isnan (x)); -if (any (k)) - cdf (k) = NaN; -end - -k = find ((x >= 1) & (a > 0) & (b > 0)); -if (any (k)) - cdf (k) = 1; -end - -k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); -if (any (k)) - if (isscalar (a) && isscalar(b)) - cdf (k) = betainc (x(k), a, b); - else - cdf (k) = betainc (x(k), a(k), b(k)); - end -end - -end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/betainv.m b/toolbox/examples/parameterEstimationWhiteCabbage/betainv.m deleted file mode 100644 index 7228b14f..00000000 --- a/toolbox/examples/parameterEstimationWhiteCabbage/betainv.m +++ /dev/null @@ -1,73 +0,0 @@ -function inv = BetaInv (x, a, b) -% BETAINV Quantile function of the Beta distribution -% INV = betainv(X, A, B) computes, for each element of X, the -% quantile (the inverse of the CDF) at X of the Beta distribution -% with parameters A and B (i.e. mean of the distribution is -% A/(A+B) and variance is A*B/(A+B)^2/(A+B+1) ). - -if (nargin ~= 3) - error ('betainv: you must give three arguments'); -end - -if (~isscalar (a) || ~isscalar(b)) - [retval, x, a, b] = common_size (x, a, b); - if (retval > 0) - error ('betainv: x, a and b must be of common size or scalars'); - end -end - -sz = size (x); -inv = zeros (sz); - -k = find ((x < 0) | (x > 1) | ~(a > 0) | ~(b > 0) | isnan (x)); -if (any (k)) - inv (k) = NaN; -end - -k = find ((x == 1) & (a > 0) & (b > 0)); -if (any (k)) - inv (k) = 1; -end - -k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); -if (any (k)) - if (~isscalar(a) || ~isscalar(b)) - a = a (k); - b = b (k); - y = a ./ (a + b); - else - y = a / (a + b) * ones (size (k)); - end - x = x (k); - l = find (y < eps); - if (any (l)) - y(l) = sqrt (eps) * ones (length (l), 1); - end - l = find (y > 1 - eps); - if (any (l)) - y(l) = 1 - sqrt (eps) * ones (length (l), 1); - end - - y_old = y; - for i = 1 : 10000 - h = (betacdf (y_old, a, b) - x) ./ betapdf (y_old, a, b); - y_new = y_old - h; - ind = find (y_new <= eps); - if (any (ind)) - y_new (ind) = y_old (ind) / 10; - end - ind = find (y_new >= 1 - eps); - if (any (ind)) - y_new (ind) = 1 - (1 - y_old (ind)) / 10; - end - h = y_old - y_new; - if (max (abs (h)) < sqrt (eps)) - break - end - y_old = y_new; - end - - inv (k) = y_new; -end - -end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/betapdf.m b/toolbox/examples/parameterEstimationWhiteCabbage/betapdf.m deleted file mode 100644 index ee8d4b48..00000000 --- a/toolbox/examples/parameterEstimationWhiteCabbage/betapdf.m +++ /dev/null @@ -1,38 +0,0 @@ -function pdf = BetaPdf (x, a, b) -% BETAPDF PDF of the Beta distribution -% PDF = betapdf(X, A, B) computes, for each element of X, the PDF -% at X of the beta distribution with parameters A and B (i.e. -% mean of the distribution is A/(A+B) and variance is -% A*B/(A+B)^2/(A+B+1) ). - -if (nargin ~= 3) - error ('betapdf: you must give three arguments'); -end - -if (~isscalar (a) || ~isscalar(b)) - [retval, x, a, b] = common_size (x, a, b); - if (retval > 0) - error ('betapdf: x, a and b must be of common size or scalar'); - end -end - -sz = size (x); -pdf = zeros (sz); - -k = find (~(a > 0) | ~(b > 0) | isnan (x)); -if (any (k)) - pdf (k) = NaN; -end - -k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); -if (any (k)) - if (isscalar(a) && isscalar(b)) - pdf(k) = exp ((a - 1) .* log (x(k)) ... - + (b - 1) .* log (1 - x(k))-gammaln(a)-gammaln(b)+gammaln(a+b)); - else - pdf(k) = exp ((a(k) - 1) .* log (x(k)) ... - + (b(k) - 1) .* log (1 - x(k))-gammaln(a(k))-gammaln(b(k))+gammaln(a(k)+b(k))); - end -end - -end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/computeTinv.m b/toolbox/examples/parameterEstimationWhiteCabbage/computeTinv.m deleted file mode 100644 index 60429616..00000000 --- a/toolbox/examples/parameterEstimationWhiteCabbage/computeTinv.m +++ /dev/null @@ -1,44 +0,0 @@ -function inv = Tinv (x, n) - - if (nargin ~= 2) - error("tinv: Incorrect usage: inv = tinv(x, n)"); - end - - if (~isreal (x) || ~isreal (n)) - error ("tinv: X and N must not be complex"); - end - - if (isa (x, "single") || isa (n, "single")) - inv = NaN (size (x), "single"); - else - inv = NaN (size (x)); - end - - k = (x == 0) & (n > 0); - inv(k) = -Inf; - - k = (x == 1) & (n > 0); - inv(k) = Inf; - - if (isscalar (n)) - k = (x > 0) & (x < 1); - if ((n > 0) && (n < 10000)) - inv(k) = (sign (x(k) - 1/2) ... - .* sqrt (n * (1 ./ BetaInv (2*min (x(k), 1 - x(k)), ... - n/2, 1/2) - 1))); - elseif (n >= 10000) - %% For large n, use the quantiles of the standard normal - inv(k) = sqrt (2) * erfinv (2 * x(k) - 1); - end - else - k = (x > 0) & (x < 1) & (n > 0) & (n < 10000); - inv(k) = (sign (x(k) - 1/2) ... - .* sqrt (n(k) .* (1 ./ BetaInv (2*min (x(k), 1 - x(k)), ... - n(k)/2, 1/2) - 1))); - - %% For large n, use the quantiles of the standard normal - k = (x > 0) & (x < 1) & (n >= 10000); - inv(k) = sqrt (2) * erfinv (2 * x(k) - 1); - end - -end \ No newline at end of file From 50cea57ce29ee6bdab0b7df040780a262c8c8c48 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 31 Aug 2026 09:14:12 +0200 Subject: [PATCH 20/43] changed comment in computeCI --- .../HelpersWhiteCabbage/computeCI.m | 10 ++++++---- 1 file changed, 6 insertions(+), 4 deletions(-) diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m index a8c3f353..ab1c519f 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m @@ -1,6 +1,8 @@ function CI = computeCI(param, res, J) -%COMPUTECI Summary of this function goes here -% Detailed explanation goes here +%COMPUTECI computes the 95% confidence intervals in White Cabbage PE +% param - parameter vector (of optimized parameters) +% res - residual function +% J - Jacobian % get degrees of freedom np = numel(param); @@ -9,7 +11,7 @@ s2 = (transpose(res) * res) / dof; -% QR factorization is badly conditioned +% QR factorization since J is badly conditioned [~,R] = qr(J,0); Rinv = R \ eye(size(R)); CovP = s2 * (Rinv * transpose(Rinv)); @@ -22,4 +24,4 @@ CI = [param - tcrit*SE, param + tcrit*SE]; -end \ No newline at end of file +end From 1fbf5e08e9d29b34311c6f1b2ca991043f3c74f7 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 31 Aug 2026 10:07:28 +0200 Subject: [PATCH 21/43] Renames in helpers for CI computation --- .../HelpersWhiteCabbage/BetaCdf.m | 8 ++++---- .../HelpersWhiteCabbage/BetaInv.m | 8 ++++---- .../HelpersWhiteCabbage/computeCI.m | 11 +++++++---- .../HelpersWhiteCabbage/{Tinv.m => tInv.m} | 4 ++-- 4 files changed, 17 insertions(+), 14 deletions(-) rename toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/{Tinv.m => tInv.m} (97%) diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m index bda690bd..84dad671 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m @@ -1,18 +1,18 @@ function cdf = BetaCdf (x, a, b) % BETACDF CDF of the Beta distribution -% CDF = betacdf(X, A, B) computes, for each element of X, the CDF +% CDF = BetaCdf(X, A, B) computes, for each element of X, the CDF % at X of the beta distribution with parameters A and B (i.e. % mean of the distribution is A/(A+B) and variance is % A*B/(A+B)^2/(A+B+1) ). if (nargin ~= 3) - error ('betacdf: you should provide three arguments'); + error ('Betacdf: you should provide three arguments'); end if (~isscalar (a) || ~isscalar(b)) [retval, x, a, b] = common_size (x, a, b); if (retval > 0) - error ('betacdf: x, a and b must be of common size or scalar'); + error ('Betacdf: x, a and b must be of common size or scalar'); end end @@ -38,4 +38,4 @@ end end -end \ No newline at end of file +end diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m index a5dc47bb..e470840b 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m @@ -1,18 +1,18 @@ function inv = BetaInv (x, a, b) % BETAINV Quantile function of the Beta distribution -% INV = betainv(X, A, B) computes, for each element of X, the +% INV = Betainv(X, A, B) computes, for each element of X, the % quantile (the inverse of the CDF) at X of the Beta distribution % with parameters A and B (i.e. mean of the distribution is % A/(A+B) and variance is A*B/(A+B)^2/(A+B+1) ). if (nargin ~= 3) - error ('betainv: you must give three arguments'); + error ('Betainv: you must give three arguments'); end if (~isscalar (a) || ~isscalar(b)) [retval, x, a, b] = common_size (x, a, b); if (retval > 0) - error ('betainv: x, a and b must be of common size or scalars'); + error ('Betainv: x, a and b must be of common size or scalars'); end end @@ -70,4 +70,4 @@ inv (k) = y_new; end -end \ No newline at end of file +end diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m index ab1c519f..44e76d5d 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m @@ -1,25 +1,28 @@ function CI = computeCI(param, res, J) -%COMPUTECI computes the 95% confidence intervals in White Cabbage PE +%COMPUTECI computes the confidence level 95% confidence intervals in White Cabbage PE % param - parameter vector (of optimized parameters) % res - residual function % J - Jacobian -% get degrees of freedom np = numel(param); nr = numel(res); dof = nr - np; +% variance s2 = (transpose(res) * res) / dof; -% QR factorization since J is badly conditioned +% QR factorization for J and computation of +% parameter covariance matrix [~,R] = qr(J,0); Rinv = R \ eye(size(R)); CovP = s2 * (Rinv * transpose(Rinv)); +% critical t-value % we use 1-alpha=0.95 => alpha=0.05 % and hence tcrit=1-alpha/2 = 0.975 -tcrit = computeTinv(0.975, dof); +tcrit = tInv(0.975, dof); +% standard error SE = sqrt(diag(CovP)); CI = [param - tcrit*SE, param + tcrit*SE]; diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/Tinv.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m similarity index 97% rename from toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/Tinv.m rename to toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m index 60429616..fa7ad924 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/Tinv.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m @@ -1,4 +1,4 @@ -function inv = Tinv (x, n) +function inv = tInv (x, n) if (nargin ~= 2) error("tinv: Incorrect usage: inv = tinv(x, n)"); @@ -41,4 +41,4 @@ inv(k) = sqrt (2) * erfinv (2 * x(k) - 1); end -end \ No newline at end of file +end From 8fcee983cc947cb006d2908d7ef55dd6f8b04f62 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 7 Sep 2026 11:51:45 +0200 Subject: [PATCH 22/43] Rename in Live Scripts and respective helpers --- .../liveExamples/StateJumpExample.mlx | Bin 81174 -> 81069 bytes .../liveExamples/WhiteCabbageLive.mlx | Bin 8073 -> 67495 bytes ...anon_sens_p.m => plotCanonSensParameter.m} | 2 +- ...comparison.m => plotCanonicalComparison.m} | 2 +- ...on_subplots.m => plotComparisonSubplots.m} | 2 +- ...rhsBounceball_cp.m => rhsBounceballCopy.m} | 2 +- ...un_accurate_euler.m => runAccurateEuler.m} | 2 +- .../liveExamples/runCanonicalExampleLive.mlx | Bin 64586 -> 64517 bytes .../liveExamples/sensCanonicalExample.mlx | Bin 65743 -> 5933 bytes .../runCabbage.m | 2 +- 10 files changed, 6 insertions(+), 6 deletions(-) rename toolbox/examples/liveExamples/helperFunctions/{plot_canon_sens_p.m => plotCanonSensParameter.m} (94%) rename toolbox/examples/liveExamples/helperFunctions/{plot_canonical_comparison.m => plotCanonicalComparison.m} (86%) rename toolbox/examples/liveExamples/helperFunctions/{plot_comparison_subplots.m => plotComparisonSubplots.m} (90%) rename toolbox/examples/liveExamples/helperFunctions/{rhsBounceball_cp.m => rhsBounceballCopy.m} (82%) rename toolbox/examples/liveExamples/helperFunctions/{run_accurate_euler.m => runAccurateEuler.m} (77%) diff --git a/toolbox/examples/liveExamples/StateJumpExample.mlx b/toolbox/examples/liveExamples/StateJumpExample.mlx index 4b5c24e0fca78ed00d6244830ab2e31daf16c620..75ccb5e133d3cd79261d838895550f91fcc6ebf6 100644 GIT binary patch delta 63981 zcmV(zK<2-e`UI`{1hB;d2^Q%4ypIR~06&w?0z7}?0e7)nSXf}Q!17WJXYvsJ)7Q(B z^gF;VZxE>unbK4|noX zN2;Wav&iUJI-H0rcHy`aN8guOZkg21u$3tbMys9YvE@)y+|G@57SbX+Ze~UsoAXFi 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a/toolbox/examples/liveExamples/helperFunctions/plot_canon_sens_p.m +++ b/toolbox/examples/liveExamples/helperFunctions/plotCanonSensParameter.m @@ -1,4 +1,4 @@ -function plot_canon_sens_p(t_plot, sensitivities_END_plot, sensitivities_END_plot2) +function plotCanonSensParameter(t_plot, sensitivities_END_plot, sensitivities_END_plot2) % just for very specific example (only used in one live script) % arguments are as follows: %t_plot = 0:0.01:20; diff --git a/toolbox/examples/liveExamples/helperFunctions/plot_canonical_comparison.m b/toolbox/examples/liveExamples/helperFunctions/plotCanonicalComparison.m similarity index 86% rename from toolbox/examples/liveExamples/helperFunctions/plot_canonical_comparison.m rename to toolbox/examples/liveExamples/helperFunctions/plotCanonicalComparison.m index b6767c4e..7bb25701 100644 --- a/toolbox/examples/liveExamples/helperFunctions/plot_canonical_comparison.m +++ b/toolbox/examples/liveExamples/helperFunctions/plotCanonicalComparison.m @@ -1,4 +1,4 @@ -function plot_canonical_comparison(fignum, tf, T, Y_ifdiff, Y_euler, Y_matlabsolver, sol_matlab, sol_ifdiff, ymax) +function plotCanonicalComparison(fignum, tf, T, Y_ifdiff, Y_euler, Y_matlabsolver, sol_matlab, sol_ifdiff, ymax) figure(fignum); clf('reset'); hold on; diff --git a/toolbox/examples/liveExamples/helperFunctions/plot_comparison_subplots.m b/toolbox/examples/liveExamples/helperFunctions/plotComparisonSubplots.m similarity index 90% rename from toolbox/examples/liveExamples/helperFunctions/plot_comparison_subplots.m rename to toolbox/examples/liveExamples/helperFunctions/plotComparisonSubplots.m index 34a17fab..5497f7d2 100644 --- a/toolbox/examples/liveExamples/helperFunctions/plot_comparison_subplots.m +++ b/toolbox/examples/liveExamples/helperFunctions/plotComparisonSubplots.m @@ -1,4 +1,4 @@ -function plot_comparison_subplots(fignum, tf, t0, T, Y_ifdiff, Y_euler, Y_matlabsolver, sol_ifdiff, integrator) +function plotComparisonSubplots(fignum, tf, t0, T, Y_ifdiff, Y_euler, Y_matlabsolver, sol_ifdiff, integrator) Ydiff_Euler = Y_euler - Y_ifdiff; Ydiff_Matlab = Y_matlabsolver - Y_ifdiff; fignum = fignum + 1; diff --git a/toolbox/examples/liveExamples/helperFunctions/rhsBounceball_cp.m b/toolbox/examples/liveExamples/helperFunctions/rhsBounceballCopy.m similarity index 82% rename from toolbox/examples/liveExamples/helperFunctions/rhsBounceball_cp.m rename to toolbox/examples/liveExamples/helperFunctions/rhsBounceballCopy.m index dc9fe498..ade9ef71 100644 --- a/toolbox/examples/liveExamples/helperFunctions/rhsBounceball_cp.m +++ b/toolbox/examples/liveExamples/helperFunctions/rhsBounceballCopy.m @@ -1,4 +1,4 @@ -function dx = rhsBounceball_cp(~, x, p) +function dx = rhsBounceballCopy(~, x, p) dx = [x(2); -p(1)]; if ifdiff_jumpif(x(1), -1) deltaH = -x(1) + eps(1)*(1/p(1)) * p(2)^2*x(2)^2; diff --git a/toolbox/examples/liveExamples/helperFunctions/run_accurate_euler.m b/toolbox/examples/liveExamples/helperFunctions/runAccurateEuler.m similarity index 77% rename from toolbox/examples/liveExamples/helperFunctions/run_accurate_euler.m rename to toolbox/examples/liveExamples/helperFunctions/runAccurateEuler.m index 7e8c04ee..14c1c890 100644 --- a/toolbox/examples/liveExamples/helperFunctions/run_accurate_euler.m +++ b/toolbox/examples/liveExamples/helperFunctions/runAccurateEuler.m @@ -1,4 +1,4 @@ -function [T, Y_euler, Y_matlabsolver, Y_ifdiff] = run_accurate_euler(N_euler, t0, tf, initstates, p, canonicalExampleRHS, sol_matlab, sol_ifdiff) +function [T, Y_euler, Y_matlabsolver, Y_ifdiff] = runAccurateEuler(N_euler, t0, tf, initstates, p, canonicalExampleRHS, sol_matlab, sol_ifdiff) X = zeros(2, N_euler+1); X(:,1) = initstates; T = zeros(1, N_euler+1); diff --git a/toolbox/examples/liveExamples/runCanonicalExampleLive.mlx b/toolbox/examples/liveExamples/runCanonicalExampleLive.mlx index ebcf46033d60eac63e0ecb93c5a29af8cbd5cfb5..1f5768953d638f3f107bc29785eca5469d772239 100644 GIT binary patch delta 48826 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z{00EKeHnh4F?)nCeC|ot16~!d-zH$Ud&2?Rw}0606tLUC;Q$?6?6(SuTf>t8H9Yov zg~Tm;Nr{zxT z?cd{uHWaAD(z<7k#&e6+UbW~0tdpHCaS~IEK#Q)CdRyYBdL1n=a-Qpkx1EL(AHZR> zswRanOmr3=Y-hlF2@VC5c1)NO@4PpR5GQt^xQhd!L%8Xz;yyg>mKZMH_!dY?>5M4w zyno@IlcO*)qYOLpuHnWoRDu;Nq;bKb>bXe&>pOESK%QU$-R>! z)%SheX9E}ZPsq#t-Q)1pNb2LQ1mJ3dP;s&|VS#&SP;juX-OkB#c5_>=ah1|^8qrxq zvzpG?bjtF@Ye9a^|8S~M(MJ9!4aQ|e=N2_xvOH%wy^x*-p-S?n%WCooP)h>@lgs}a zv!MHI0|`W$Kiy~v005Sg75_LJd}8F$2?PKDw;%uj5dZ)H0000000000?Ez4eX#XSx z$UBcGlaT)w0*DZksQ*U--w~7X|49Pq5|i=&8ld$~{mAU~C2Hz9_ G0002Hx`~zm From d73cbc62e42a1acf4963dc855f22bd7346cda5c0 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 14 Sep 2026 11:31:58 +0200 Subject: [PATCH 24/43] set seed in runCabbage.m --- .../examples/parameterEstimationWhiteCabbage/runCabbage.m | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m index f7592f16..918690ff 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m @@ -8,7 +8,6 @@ initialvalues = [2.48252;0;0]; parameters_ODE = getParamsCabbage(); sol = solveODE(datahandle, tspan, initialvalues, parameters_ODE); -%s = rng; %% Precalculations for finite differences for sensitivities dim_y = size(sol.y, 1); @@ -19,7 +18,8 @@ t = 0:118; disturb = true; sigma = 5; -%rng(s); +seed = 72; +rng(seed); rand = randn(dim_y*length(t),1); if disturb measurements = reshape(deval(sol, t), [], 1) + sigma.*rand; @@ -38,7 +38,8 @@ tic; [param_opt,resnorm,residual,exitflag,output,lambda,jacobian] = lsqnonlin(residual_function, parameters_init, [], [], options); toc; -percent = (param_opt*100./[getParamsCabbage();2.48252;0;0])-100*param_opt; +percent = (param_opt*100./[getParamsCabbage();2.48252;0;0])-100*param_opt +param_opt %% Joint confidence intervals % if Statistics&ML toolbox is installed, use nlparci instead of helper: From 0d707ad0f4a10c4641fdbccb3a96e3d7c6c1b1f5 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 14 Sep 2026 11:52:08 +0200 Subject: [PATCH 25/43] minor running time related changes in computeCI.m --- .../HelpersWhiteCabbage/computeCI.m | 16 ++++++++++------ 1 file changed, 10 insertions(+), 6 deletions(-) diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m index 44e76d5d..fc97a04e 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m @@ -8,22 +8,26 @@ nr = numel(res); dof = nr - np; -% variance -s2 = (transpose(res) * res) / dof; +% Approximation when a column is zero vector +temp = find(max(abs(J)) == 0); +if ~isempty(temp) + J(:,temp) = sqrt(eps(class(J))); +end % QR factorization for J and computation of % parameter covariance matrix [~,R] = qr(J,0); Rinv = R \ eye(size(R)); -CovP = s2 * (Rinv * transpose(Rinv)); +diag_info = sum(Rinv.*Rinv, 2); +rmse = norm(res)/sqrt(dof); % critical t-value -% we use 1-alpha=0.95 => alpha=0.05 -% and hence tcrit=1-alpha/2 = 0.975 +% we use alpha = 0.05 +% and hence tcrit = 1-alpha/2 = 0.975 tcrit = tInv(0.975, dof); % standard error -SE = sqrt(diag(CovP)); +SE = sqrt(diag_info)*rmse; CI = [param - tcrit*SE, param + tcrit*SE]; From 1ab2a9adf97313fad8f45278401cb5c8610d2707 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 14 Sep 2026 12:40:45 +0200 Subject: [PATCH 26/43] Changed name for analytical solution of Canonical Examples; namechanges in Test directory; refactored test for DAEs since example was changed. --- tests/TestHelperFunctions.m | 4 +- tests/TestIgnore.m | 12 +++--- tests/TestSensitivities.m | 12 +++--- tests/TestSolverCompatibility.m | 20 +++++----- tests/TestStateJumps.m | 40 +++++++++---------- ...n.m => canonicalExampleAnalyticSolution.m} | 2 +- .../canonicalExample/runAnalyticalSolution.m | 2 +- .../acadamicDaeExample/runDaeExample.m | 4 +- .../runDaeExampleWorkshop.m | 2 +- 9 files changed, 49 insertions(+), 49 deletions(-) rename toolbox/examples/canonicalExample/{rhsAnalyticSolution.m => canonicalExampleAnalyticSolution.m} (99%) diff --git a/tests/TestHelperFunctions.m b/tests/TestHelperFunctions.m index 93c17dcd..30da0c7b 100644 --- a/tests/TestHelperFunctions.m +++ b/tests/TestHelperFunctions.m @@ -26,7 +26,7 @@ function helperFunctionInElseBlock(this) datahandle = prepareDatahandleForIntegration( ... 'funinelse_RHS', ... - 'integrator', func2str(integrator), ... + 'integrator', integrator, ... 'options', odeoptions); tEnd = 20; tspan = [0 tEnd]; @@ -44,7 +44,7 @@ function manyFunctions(this) datahandle = prepareDatahandleForIntegration( ... 'manyFunctions', ... - 'integrator', func2str(integrator), ... + 'integrator', integrator, ... 'options', odeoptions); tEnd = 30; tspan = [0 tEnd]; diff --git a/tests/TestIgnore.m b/tests/TestIgnore.m index 599506f3..0d8a5ee4 100644 --- a/tests/TestIgnore.m +++ b/tests/TestIgnore.m @@ -21,7 +21,7 @@ function testIgnoreSimple(testCase) p = 0; datahandle = prepareDatahandleForIntegration('simpleIgnoreRHS', ... - 'solver', func2str(solver), ... + 'solver', solver, ... 'options', options); data = datahandle.getData(); % ensure only one of the two ifs got turned into a ctrlif @@ -42,7 +42,7 @@ function testIgnoreNested(testCase) p = 0; datahandle = prepareDatahandleForIntegration('nestedIgnoreRHS', ... - 'solver', func2str(solver), ... + 'solver', solver, ... 'options', options); data = datahandle.getData(); % ensure only one of the two ifs got turned into a ctrlif @@ -63,7 +63,7 @@ function testIgnoredIfInNonIgnoredIf(testCase) p = 0; datahandle = prepareDatahandleForIntegration('ignoredIfInNonIgnoredIfRHS', ... - 'solver', func2str(solver), ... + 'solver', solver, ... 'options', options); data = datahandle.getData(); % ensure only the outer if got turned into a ctrlif @@ -84,7 +84,7 @@ function testIgnoredIfInHelper(testCase) p = 0; datahandle = prepareDatahandleForIntegration('ignoreInHelperRHS', ... - 'solver', func2str(solver), ... + 'solver', solver, ... 'options', options); data = datahandle.getData(); % ensure only one of the two ifs got turned into a ctrlif @@ -108,7 +108,7 @@ function testHelperInIgnore(testCase) p = 0; datahandle = prepareDatahandleForIntegration('helperInIgnoreRHS', ... - 'solver', func2str(solver), ... + 'solver', solver, ... 'options', options); data = datahandle.getData(); @@ -131,7 +131,7 @@ function testIgnoreAndNotIgnore(testCase) p = 0; datahandle = prepareDatahandleForIntegration('ignoreAndNotIgnoreRHS', ... - 'solver', func2str(solver), ... + 'solver', solver, ... 'options', options); data = datahandle.getData(); diff --git a/tests/TestSensitivities.m b/tests/TestSensitivities.m index 0d06e225..f7a73409 100644 --- a/tests/TestSensitivities.m +++ b/tests/TestSensitivities.m @@ -11,8 +11,8 @@ function testCanonexDirectional(testCase, method) [integrator, options, t0, tEnd, p, x0] = getOdeDataForCanonex(testCase); datahandle = prepareDatahandleForIntegration( ... - 'canonicalExampleRHS', ... - 'solver', func2str(integrator), ... + 'rhsCanonicalExample', ... + 'solver', integrator, ... 'options', options); sol = solveODE(datahandle, [t0 tEnd], x0, p); @@ -34,8 +34,8 @@ function testCanonexVde(testCase) % Test the sensitivities generated with the VDE method on the canonical example. [integrator, options, t0, tEnd, p, x0] = getOdeDataForCanonex(testCase); datahandle = prepareDatahandleForIntegration( ... - 'canonicalExampleRHS', ... - 'solver', func2str(integrator), ... + 'rhsCanonicalExample', ... + 'solver', integrator, ... 'options', options); sol = solveODE(datahandle, [t0 tEnd], x0, p); @@ -80,7 +80,7 @@ function testCanonexEndPiecewise(testCase) % Test the sensitivities generated with the END_piecewise method on the canonical example. [integrator, options, t0, tEnd, p, x0] = getOdeDataForCanonex(testCase); datahandle = prepareDatahandleForIntegration( ... - 'canonicalExampleRHS', ... + 'rhsCanonicalExample', ... 'solver', func2str(integrator), ... 'options', options); sol = solveODE(datahandle, [t0 tEnd], x0, p); @@ -129,7 +129,7 @@ function testCanonexEndFull(testCase) % instead of ts+eps(ts). [integrator, options, t0, tEnd, p, x0] = getOdeDataForCanonex(testCase); datahandle = prepareDatahandleForIntegration( ... - 'canonicalExampleRHS', ... + 'rhsCanonicalExample', ... 'solver', func2str(integrator), ... 'options', options); sol = solveODE(datahandle, [t0 tEnd], x0, p); diff --git a/tests/TestSolverCompatibility.m b/tests/TestSolverCompatibility.m index f00cb997..27caa6ce 100644 --- a/tests/TestSolverCompatibility.m +++ b/tests/TestSolverCompatibility.m @@ -21,7 +21,7 @@ function setTimer(testCase) canonex_tspan = [0 20]; canonex_x0 = [1;0]; canonex_p = 5.437; - canonex_rhsFunction = 'canonicalExampleRHS'; + canonex_rhsFunction = 'rhsCanonicalExample'; canonex_odeoptions = odeset('AbsTol', 1e-12, 'RelTol', 1e-10); canonex_xEnd = [49.255067; 1.348824]; canonex_SWPs = [11.000275475 11.27004032]; @@ -29,19 +29,19 @@ function setTimer(testCase) subway_tspan = [0 65]; subway_x0 = [0; 0; 0]; % subway_p initialized later because we need to initIFDIFF() before - subway_rhsFunction = 'newYorkCitySubwayModelRhs'; + subway_rhsFunction = 'rhsNewYorkCitySubwayModel.m'; subway_odeoptions = odeset( 'AbsTol', 1e-20, 'RelTol', 1e-10); subway_xEnd = [2112.07361577; 0.00124794; 4124.77885608]; subway_SWPs = [0.63166061, 2.43955402, 3.64338000, 5.60010643, 12.60705000, 45.78275000, 57.16005000]; % DAE example: input parameters and expected results - dae_tspan = [0 5]; + dae_tspan = [0 3]; + dae_p = -0.3 dae_x0 = [1; -1]; - dae_p = -0.2 - dae_rhsFunction = 'daeExampleRHS'; - dae_odeoptions = odeset('Mass', [1 0; 0 0], 'MassSingular', 'yes', 'AbsTol', 1e-9,'RelTol', 1e-6); - dae_xEnd = [0.199999951200446; -0.199999951200446] - dae_SWPs = [1.609435443361949]; + dae_rhsFunction = 'rhsDaeExampleWorkshop'; + dae_odeoptions = odeset('Mass', [1 0; 0 0], 'MassSingular', 'yes', 'AbsTol', 1e-9,'RelTol', 1e-5); + dae_xEnd = [0.427392826365841; -0.299999535808094] + dae_SWPs = [1.068023313185268]; end properties (Access = private) @@ -185,8 +185,8 @@ function testOde23tDAE(testCase) % lower tolerance since ode23t is an order 2 method % (uses trapezoidal rule) - testCase.verifyEqual(sol.y(:, end), testCase.expected_xEnd, "RelTol", 1e-5); - testCase.verifyEqual(sol.switches, testCase.expected_SWPs, "RelTol", 1e-4); + testCase.verifyEqual(sol.y(:, end), testCase.expected_xEnd, "RelTol", 1e-3); + testCase.verifyEqual(sol.switches, testCase.expected_SWPs, "RelTol", 1e-3); end function testOde23tbCanonex(testCase) setCanonexParameters(testCase); diff --git a/tests/TestStateJumps.m b/tests/TestStateJumps.m index 2da8e876..8f094a68 100644 --- a/tests/TestStateJumps.m +++ b/tests/TestStateJumps.m @@ -28,7 +28,7 @@ function testIdenticalIfs(testCase) options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration( ... 'identicalIfRHS', ... - 'solver', func2str(integrator), ... + 'solver', integrator, ... 'options', options); t0 = 0; tEnd = 3; @@ -57,7 +57,7 @@ function testTwoJumpsOppositeDirections(testCase) options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration( ... 'twoJumpsGoodRHS', ... - 'solver', func2str(integrator), ... + 'solver', integrator, ... 'options', options); t0 = 0; tEnd = 4.1; % switches at tEnd exactly unfortunately aren't handled too gracefully @@ -88,7 +88,7 @@ function testTwoJumpsSameDirection(testCase) datahandle = prepareDatahandleForIntegration( ... 'twoJumpsBadRHS', ... - 'solver', func2str(integrator), ... + 'solver', integrator, ... 'options', options); testCase.verifyError(@() solveODE(datahandle, [t0 tF], x0, p), ''); @@ -100,7 +100,7 @@ function testJumpChangesModel(testCase) options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration( ... 'jumpChangesModelRHS', ... - 'solver', func2str(integrator), ... + 'solver', integrator, ... 'options', options); t0 = 0; tEnd = 4; @@ -118,7 +118,7 @@ function testJumpInHelper(testCase) options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration( ... 'jumpInHelperRHS', ... - 'solver', func2str(integrator), ... + 'solver', integrator, ... 'options', options); t0 = 0; tEnd = 25; @@ -146,7 +146,7 @@ function testJumpInHelperWithJumpsDisabled(testCase) options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration( ... 'jumpInHelperRHS', ... - 'solver', func2str(integrator), ... + 'solver', integrator, ... 'options', options); t0 = 0; tEnd = 25; @@ -171,8 +171,8 @@ function testBounceball(testCase) integrator = TestStateJumps.defaultIntegrator; options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration( ... - 'bounceballRHS', ... - 'solver', func2str(integrator), ... + 'rhsBounceball', ... + 'solver', integrator, ... 'options', options); g = 9.807; gamma = 0.9; @@ -230,7 +230,7 @@ function testTwoUpdates(testCase) options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration( ... 'twoUpdatesRHS', ... - 'solver', func2str(integrator), ... + 'solver', integrator, ... 'options', options); sol = solveODE(datahandle, [0 7], 0, 0); testCase.verifyEqual(length(sol.switches), 2); @@ -241,13 +241,13 @@ function testTwoUpdates(testCase) end function testSensitivitiesSimpleVDE(testCase) - % Test sensitivity computation across jumps using the simple, one-dimensional jumpSensitivityRHS. + % Test sensitivity computation across jumps using the simple, one-dimensional rhsJumpSensitivity. integrator = TestStateJumps.defaultIntegrator; options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); [t0, tEnd, p, x0] = jumpSensitivityInitdata(); datahandle = prepareDatahandleForIntegration( ... - 'jumpSensitivityRHS', ... - 'solver', func2str(integrator), ... + 'rhsJumpSensitivity', ... + 'solver', integrator, ... 'options', options); sol = solveODE(datahandle, [t0 tEnd], x0, p); testCase.verifyEqual(length(sol.switches), 1); @@ -277,13 +277,13 @@ function testSensitivitiesSimpleVDE(testCase) testCase.verifyEqual(Gp{4}, Gy2(tEnd) * (Uy1 * Gp1(t1Minus) + Up1) + Gp2(tEnd), 'RelTol', rtol2); end function testSensitivitiesSimpleEND_piecewise(testCase) - % Test sensitivity computation across jumps using the simple, one-dimensional jumpSensitivityRHS. + % Test sensitivity computation across jumps using the simple, one-dimensional rhsJumpSensitivity. integrator = TestStateJumps.defaultIntegrator; options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); [t0, tEnd, p, x0] = jumpSensitivityInitdata(); datahandle = prepareDatahandleForIntegration( ... - 'jumpSensitivityRHS', ... - 'solver', func2str(integrator), ... + 'rhsJumpSensitivity', ... + 'solver', integrator, ... 'options', options); sol = solveODE(datahandle, [t0 tEnd], x0, p); testCase.verifyEqual(length(sol.switches), 1); @@ -314,13 +314,13 @@ function testSensitivitiesSimpleEND_piecewise(testCase) testCase.verifyEqual(Gp{4}, Gy2(tEnd) * (Uy1 * Gp1(t1Minus) + Up1) + Gp2(tEnd), 'RelTol', rtol2); end function testSensitivitiesSimpleEND_full(testCase) - % Test sensitivity computation across jumps using the simple, one-dimensional jumpSensitivityRHS. + % Test sensitivity computation across jumps using the simple, one-dimensional rhsJumpSensitivity. integrator = TestStateJumps.defaultIntegrator; options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); [t0, tEnd, p, x0] = jumpSensitivityInitdata(); datahandle = prepareDatahandleForIntegration( ... - 'jumpSensitivityRHS', ... - 'solver', func2str(integrator), ... + 'rhsJumpSensitivity', ... + 'solver', integrator, ... 'options', options); sol = solveODE(datahandle, [t0 tEnd], x0, p); testCase.verifyEqual(length(sol.switches), 1); @@ -367,7 +367,7 @@ function testHelperInJump(testCase) datahandle = prepareDatahandleForIntegration( ... 'helperInJumpRHS', ... - 'solver', func2str(integrator), ... + 'solver', integrator, ... 'options', options); sol = solveODE(datahandle, [t0 tF], x0, p); @@ -386,7 +386,7 @@ function testHelperInJumpInHelper(testCase) options = odeset('AbsTol', 1e-8, 'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration( ... 'helperInJumpInHelperRHS', ... - 'solver', func2str(integrator), ... + 'solver', integrator, ... 'options', options); t0 = 0; tEnd = 3; diff --git a/toolbox/examples/canonicalExample/rhsAnalyticSolution.m b/toolbox/examples/canonicalExample/canonicalExampleAnalyticSolution.m similarity index 99% rename from toolbox/examples/canonicalExample/rhsAnalyticSolution.m rename to toolbox/examples/canonicalExample/canonicalExampleAnalyticSolution.m index 25e8781d..77237550 100644 --- a/toolbox/examples/canonicalExample/rhsAnalyticSolution.m +++ b/toolbox/examples/canonicalExample/canonicalExampleAnalyticSolution.m @@ -1,4 +1,4 @@ -function [funcSolPiecewise, tSwitch, switchingFunc, varargout] = rhsAnalyticSolution() +function [funcSolPiecewise, tSwitch, switchingFunc, varargout] = canonicalExampleAnalyticSolution() %[funcSolPiecewise, tSwitch, switchingFunc, varargout] = CANONICALEXAMPLEANALYTICSOLUTION() %[funcSolPiecewise, tSwitch, switchingFunc, t0, y0, p] = CANONICALEXAMPLEANALYTICSOLUTION() % diff --git a/toolbox/examples/canonicalExample/runAnalyticalSolution.m b/toolbox/examples/canonicalExample/runAnalyticalSolution.m index 0e0723bd..cebac8a5 100644 --- a/toolbox/examples/canonicalExample/runAnalyticalSolution.m +++ b/toolbox/examples/canonicalExample/runAnalyticalSolution.m @@ -3,7 +3,7 @@ tPlotStep = 0.01; %% Analytical solution -[solTrue, switches, switchingFunctions, t0, y0, p] = rhsAnalyticSolution; +[solTrue, switches, switchingFunctions, t0, y0, p] = canonicalExampleAnalyticSolution; tspan = [t0, tf]; tPlot = t0:tPlotStep:tf; diff --git a/toolbox/examples/daeExamples/acadamicDaeExample/runDaeExample.m b/toolbox/examples/daeExamples/acadamicDaeExample/runDaeExample.m index 26cd65a8..dda38ed0 100644 --- a/toolbox/examples/daeExamples/acadamicDaeExample/runDaeExample.m +++ b/toolbox/examples/daeExamples/acadamicDaeExample/runDaeExample.m @@ -11,7 +11,7 @@ M = [1 0; 0 0]; opts_ifdiff = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-8,'RelTol', 1e-6); -opts_plain = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-6, 'RelTol', 1e-3); +opts_plain = odeset('Mass', M, 'MassSingular', 'yes', 'AbsTol', 1e-8, 'RelTol', 1e-6); sol_plain = integrator(@(t, x) rhsDaeExample(t, x, p), tspan, x0, opts_plain); @@ -31,4 +31,4 @@ Plain_plot = plot(sol_plain.x, sol_plain.y, 'ko-', 'DisplayName', 'plain ode15s'); Switch_plot = xline(sol_ifdiff.switches, 'b', 'LineWidth', 1.0, 'DisplayName', 'Switch'); legend([Plain_plot(1), IFDIFF_plot(1), Euler_plot(1), Switch_plot ]); -hold off; \ No newline at end of file +hold off; diff --git a/toolbox/examples/daeExamples/daeExampleWorkshop/runDaeExampleWorkshop.m b/toolbox/examples/daeExamples/daeExampleWorkshop/runDaeExampleWorkshop.m index ebb7f69e..c59ae7cd 100644 --- a/toolbox/examples/daeExamples/daeExampleWorkshop/runDaeExampleWorkshop.m +++ b/toolbox/examples/daeExamples/daeExampleWorkshop/runDaeExampleWorkshop.m @@ -57,4 +57,4 @@ ylim([0.4271 0.4277]) legend([Plain_plot(1), IFDIFF_plot(1)]); grid("on"); -hold("off"); \ No newline at end of file +hold("off"); From e34fe0f6f126b745eed7b7b250bfd779b25d6f77 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 21 Sep 2026 10:05:10 +0200 Subject: [PATCH 27/43] Made sensitivity plots for white cabbage example pretty and fast. One could say pretty fast :) --- .../plotSensitivitiesCabbage.m | 302 +++++------------- 1 file changed, 75 insertions(+), 227 deletions(-) diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m index 62569868..8d2e3a61 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m @@ -1,12 +1,12 @@ %% Solution ifdiff integrator = @ode45; -odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); -datahandle = prepareDatahandleForIntegration('whiteCabbageRHS', 'integrator', func2str(integrator), 'options', odeoptionsrhs_test); +odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-6); +datahandle = prepareDatahandleForIntegration('rhsCabbage', 'integrator', func2str(integrator), 'options', odeoptionsrhs_test); tspan = [0 118]; initialvalues = [2.48252;0;0]; -parameters_ODE = getParams_Cabbage(); +parameters_ODE = getParamsCabbage(); sol = solveODE(datahandle, tspan, initialvalues, parameters_ODE); %% Precalculations for finite differences for sensitivities @@ -24,243 +24,91 @@ %% figure(1) -subplot(3,3,1) -hold on -for i = 1:length(t_sens) - plot(t_sens(i),sensitivites(i).Gy(1,1), '.b') -end -axis([0 118 0 500]) -hold off -xlabel('t'); -ylabel('\partial y_L(t)/\partial y_{0,L}') -title('G_{y,11}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); +clf -subplot(3,3,2) - hold on -for i = 1:length(t_sens) - plot(t_sens(i),sensitivites(i).Gy(1,2), '.b') -end -axis([0 118 -1 1.5]) -hold off -xlabel('t'); -ylabel('\partial y_L(t)/\partial y_{0,S}') -title('G_{y,12}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); +% Extract Gy matrices +GyCell = arrayfun(@(s) s.Gy, sensitivites, 'UniformOutput', false); +Gy = cat(3, GyCell{:}); -subplot(3,3,3) -hold on -for i = 1:length(t_sens) - plot(t_sens(i),sensitivites(i).Gy(1,3), '.b') -end -axis([0 118 -1 1.5]) -hold off -xlabel('t'); -ylabel('\partial y_L(t)/\partial y_{0,H}') -title('G_{y,13}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); +labels = 'LSH'; +set(gcf, 'Position', [100 100 1100 850]); -subplot(3,3,4) -hold on -for i = 1:length(t_sens) - plot(t_sens(i),sensitivites(i).Gy(2,1), '.b') -end -axis([0 118 0 500]) -hold off -xlabel('t'); -ylabel('\partial y_S(t)/\partial y_{0,L}') -title('G_{y,21}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); +for row = 1:3 + for col = 1:3 + subplot(3,3,(row-1)*3 + col) -subplot(3,3,5) - hold on -for i = 1:length(t_sens) - plot(t_sens(i),sensitivites(i).Gy(2,2), '.b') -end -axis([0 118 -1 1.5]) -hold off -xlabel('t'); -ylabel('\partial y_S(t)/\partial y_{0,S}') -title('G_{y,22}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); + plot(t_sens, squeeze(Gy(row,col,:)), '.', 'Color', [0.1 0.35 0.8], 'MarkerSize', 7); -subplot(3,3,6) -hold on -for i = 1:length(t_sens) - plot(t_sens(i),sensitivites(i).Gy(2,3), '.b') -end -axis([0 118 -1 1.5]) -hold off -xlabel('t'); -ylabel('\partial y_S(t)/\partial y_{0,H}') -title('G_{y,23}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); + if col == 1 + ylim([0 500]) + else + ylim([-1 1.5]) + end + xlim([0 118]) -subplot(3,3,7) -hold on -for i = 1:length(t_sens) - plot(t_sens(i),sensitivites(i).Gy(3,1), '.b') -end -axis([0 118 0 500]) -hold off -xlabel('t'); -ylabel('\partial y_H(t)/\partial y_{0,L}') -title('G_{y,31}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); + xlabel('$t$', 'Interpreter', 'latex', 'FontSize', 13) + ylabel(sprintf('$\\partial y_{%s}(t)/\\partial y_{0,%s}$', labels(row), labels(col)), 'Interpreter', 'latex', 'FontSize', 13) + title(sprintf('$G_{y,%d%d}(t;t_0)$', row, col), 'Interpreter', 'latex', 'FontSize', 14, 'FontWeight', 'normal') + set(gca, ... + 'FontSize', 11, ... + 'LineWidth', 1, ... + 'Box', 'off', ... + 'TickDir', 'out', ... + 'TickLength', [0.015 0.015]) -subplot(3,3,8) -hold on -for i = 1:length(t_sens) - plot(t_sens(i),sensitivites(i).Gy(3,2), '.b') -end -axis([0 118 -1 1.5]) -hold off -xlabel('t'); -ylabel('\partial y_H(t)/\partial y_{0,S}') -title('G_{y,32}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); + grid on + set(gca, 'GridAlpha', 0.15) -subplot(3,3,9) -hold on -for i = 1:length(t_sens) - plot(t_sens(i),sensitivites(i).Gy(3,3), '.b') + end end -axis([0 118 -1 1.5]) -hold off -xlabel('t'); -ylabel('\partial y_H(t)/\partial y_{0,H}') -title('G_{y,33}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); %% Plot sensitivities parameters sensitivities_function_p = generateSensitivityFunction(datahandle, sol, 'FDstep', FDstep, 'calcGy', false, 'method', method, 'p_typ', parameters_ODE); t_sens = 0:0.1:118; +ticid = tic; sensitivites = sensitivities_function_p(t_sens); - +toc(ticid); %% figure(2) -subplot(3,3,1) -for i = 1:length(t_sens) - axis([0 118 0 0.02]) - plot(t_sens(i),sensitivites(i).Gp(1,1), '.b') - hold on -end -hold off -xlabel('t'); -ylabel('\partial y_L(t)/\partial a') -title('G_{p,11}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(3,3,2) -for i = 1:length(t_sens) - axis([0 118 -20 150]) - plot(t_sens(i),sensitivites(i).Gp(1,5), '.b') - hold on -end -hold off -xlabel('t'); -ylabel('\partial y_L(t)/\partial r_S') -title('G_{p,15}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(3,3,3) -for i = 1:length(t_sens) - axis([0 118 0 4000]) - plot(t_sens(i),sensitivites(i).Gp(1,6), '.b') - hold on -end -hold off -xlabel('t'); -ylabel('\partial y_L(t)/\partial r_H') -title('G_{p,16}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(3,3,4) -for i = 1:length(t_sens) - axis([0 118 0 0.02]) - plot(t_sens(i),sensitivites(i).Gp(2,1), '.b') - hold on -end -hold off -xlabel('t'); -ylabel('\partial y_S(t)/\partial a') -title('G_{p,21}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(3,3,5) -for i = 1:length(t_sens) - axis([0 118 -20 150]) - plot(t_sens(i),sensitivites(i).Gp(2,5), '.b') - hold on -end -hold off -xlabel('t'); -ylabel('\partial y_S(t)/\partial r_S') -title('G_{p,25}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(3,3,6) -for i = 1:length(t_sens) - axis([0 118 0 4000]) - plot(t_sens(i),sensitivites(i).Gp(2,6), '.b') - hold on -end -hold off -xlabel('t'); -ylabel('\partial y_S(t)/\partial r_H') -title('G_{p,26}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(3,3,7) -for i = 1:length(t_sens) - axis([0 118 0 0.02]) - plot(t_sens(i),sensitivites(i).Gp(3,1), '.b') - hold on -end -hold off -xlabel('t'); -ylabel('\partial y_H(t)/\partial a') -title('G_{p,31}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(3,3,8) -for i = 1:length(t_sens) - axis([0 118 -20 150]) - plot(t_sens(i),sensitivites(i).Gp(3,5), '.b') - hold on -end -hold off -xlabel('t'); -ylabel('\partial y_H(t)/\partial r_S') -title('G_{p,35}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); - -subplot(3,3,9) -for i = 1:length(t_sens) - axis([0 118 0 4000]) - plot(t_sens(i),sensitivites(i).Gp(3,6), '.b') - hold on -end -hold off -xlabel('t'); -ylabel('\partial y_H(t)/\partial r_H') -title('G_{p,36}(t; t_0)') -set(gca, 'FontSize', 22); -set(gca, 'Box', 'off'); +clf + +% Extract all Gp matrices +GpCell = arrayfun(@(s) s.Gp, sensitivites, 'UniformOutput', false); +Gp = cat(3, GpCell{:}); + +labels = 'LSH'; + +cols = [1 5 6]; + +ylims = [ + 0 0.02 + -20 150 + 0 4000 +]; + +paramLabels = {'a', 'r_S', 'r_H'}; +set(gcf, 'Position', [100 100 1100 850]); + +for row = 1:3 + for j = 1:3 + col = cols(j); + subplot(3,3,(row-1)*3 + j) + plot(t_sens, squeeze(Gp(row,col,:)), '.', 'Color', [0.1 0.35 0.8], 'MarkerSize', 7); + + xlim([0 118]) + ylim(ylims(j,:)) + + xlabel('$t$', 'Interpreter', 'latex', 'FontSize', 13) + ylabel(sprintf('$\\partial y_{%s}(t)/\\partial %s$', labels(row), paramLabels{j}), 'Interpreter', 'latex', 'FontSize', 13) + title(sprintf('$G_{p,%d%d}(t;t_0)$', row, col), 'Interpreter', 'latex', 'FontSize', 14, 'FontWeight', 'normal') + set(gca, ... + 'FontSize', 11, ... + 'LineWidth', 1, ... + 'Box', 'off', ... + 'TickDir', 'out', ... + 'TickLength', [0.015 0.015]) + + grid on + set(gca, 'GridAlpha', 0.15) + end +end \ No newline at end of file From d085d889901dc6348ebfe08b486dfef08d536e54 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 24 Aug 2026 13:22:33 +0200 Subject: [PATCH 28/43] Removed unecessary files for pull request --- toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m | 4 ---- 1 file changed, 4 deletions(-) diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m index 7d9786f1..eea2a0ee 100644 --- a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +++ b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m @@ -25,11 +25,7 @@ x0 = [a; a; r1-r2]; % RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey.m rhs = @rhsPredatorPrey; -======== -rhs = @rhsPredatorPrey3D; ->>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m % Plotting plot_n = 10000; From 48f3bb3651161a553bcb0014b4906d24334ec364 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 31 Aug 2026 18:26:30 +0200 Subject: [PATCH 29/43] Renamed files to fit new naming scheme by Pilar --- .../predatorpreyFilippov/rhsPredatorPrey.m | 14 + .../predatorpreyFilippov/rhsPredatorPrey3D.m | 43 --- .../predatorpreyFilippov/runPredatorPrey.m | 16 + .../predatorpreyFilippov/runPredatorPrey3D.m | 300 ------------------ 4 files changed, 30 insertions(+), 343 deletions(-) delete mode 100644 toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m delete mode 100644 toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m index 840d5b7b..3c20d164 100644 --- a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m +++ b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m @@ -1,8 +1,22 @@ +<<<<<<< HEAD +======= +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m +>>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar) <<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m function dx = rhsPredatorPrey(~, x, p) ======== function dx = rhsPredatorPrey3D(~, x, p) >>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m +<<<<<<< HEAD +======= +======== +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m +function dx = rhsPredatorPrey3D(~, x, p) +======== +function dx = rhsPredatorPrey(~, x, p) +>>>>>>>> 5dee82a (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m +>>>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m +>>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar) % 2-Prey-1-Predatory Model % % Source: diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m deleted file mode 100644 index 840d5b7b..00000000 --- a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m +++ /dev/null @@ -1,43 +0,0 @@ -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m -function dx = rhsPredatorPrey(~, x, p) -======== -function dx = rhsPredatorPrey3D(~, x, p) ->>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m -% 2-Prey-1-Predatory Model -% -% Source: -% Tiago Carvalho, Douglas Duarte Novaes, Luiz Fernando Goncalves: -% Sliding Shilnikov connection in Filippov-type predator-prey model -% Nonlinear Dyn (2020) 100:2973-2987 - -% Preallocate -dx = zeros(3, 1); - -% Unpack state components and parameters -p1 = x(1); % prey1 -p2 = x(2); % prey2 -P = x(3); % Predator - -r1 = p(1); -r2 = p(2); -beta1 = p(3); -beta2 = p(4); -q1 = p(5); -q2 = p(6); -m = p(7); -e = p(8); -aq = p(9); - -% Switching manifold -H = beta1*p1 - aq*beta2*p2; - -if H >= 0 - dx(1) = (r1 - beta1*P) .* p1; - dx(2) = r2*p2; - dx(3) = (e*q1*beta1*p1 - m) .* P; -else - dx(1) = r1*p1; - dx(2) = (r2 - beta2*P) .* p2; - dx(3) = (e*q2*beta2*p2 - m) .* P; -end -end diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m index 88f26f39..e5db01be 100644 --- a/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +++ b/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m @@ -5,7 +5,11 @@ % Integrator intIfdiff = @ode45; intOptions = odeset('reltol', 1e-5, 'abstol', 1e-12); +<<<<<<< HEAD eulerStep = 1e-5; +======= +eulerStep = 1e-7; +>>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar) % Parameter values required for Shilnikov behavior in the paper (see RHS file). m = 0.790; @@ -25,11 +29,23 @@ x0 = [a; a; r1-r2]; % RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. +<<<<<<< HEAD <<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey.m rhs = @rhsPredatorPrey; ======== rhs = @rhsPredatorPrey3D; >>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +======= +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +rhs = @rhsPredatorPrey; +======== +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +rhs = @rhsPredatorPrey3D; +======== +rhs = @rhsPredatorPrey; +>>>>>>>> 5dee82a (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +>>>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +>>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar) % Plotting plot_n = 10000; diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m deleted file mode 100644 index eea2a0ee..00000000 --- a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +++ /dev/null @@ -1,300 +0,0 @@ -%% Setup -% Time span -tspan = [0, 100]; - -% Integrator -intIfdiff = @ode45; -intOptions = odeset('reltol', 1e-5, 'abstol', 1e-12); -eulerStep = 1e-7; - -% Parameter values required for Shilnikov behavior in the paper (see RHS file). -m = 0.790; -r1 = 0.836; -e = 0.948; -q1 = 0.772; -aq = 0.660; -beta2 = 0.896; -% Some values changed for prettier plot (remains a Filippov system). -q2 = 1.500; % 1.084 (paper) -r2 = 0.300; % 0.126 (paper) -beta1 = 7.810; % 7.800 (Example plot in paper, but can be chosen arbitrarily, retaining Shilnikov behavior) -p = [r1, r2, beta1, beta2, q1, q2, m, e, aq]; - -% Initial values (used for plot in paper, but may be changed) -a = 0.286975; -x0 = [a; a; r1-r2]; - -% RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. -rhs = @rhsPredatorPrey; - -% Plotting -plot_n = 10000; -plot_t = linspace(tspan(1), tspan(end), plot_n); - -nameIfdiff = sprintf('Ifdiff/%s', func2str(intIfdiff)); -nameEuler = sprintf('Euler/%.0e', eulerStep); -lwIfdiff = 3; -lwEuler = 3; -colorIfdiff = [0, 0.447, 0.741]; -colorEuler = [0.85, 0.325, 0.098]; -lsIfdiff = '-'; -lsEuler = '--'; - -% Sensitivity -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('rhsPredatorPrey', 'solver', intIfdiff, 'options', intOptions); -solveODE(datahandle, tspan, x0, p); -disp("Compilation done..."); - -%% Solve with IFDIFF -datahandle = prepareDatahandleForIntegration(rhs, 'solver', intIfdiff, 'options', intOptions); -% Enable storing of convexification data -configNew = makeConfig(); -configNew.storeSlidingInfo = true; -configOld = makeConfig(configNew); -try - solIfdiff = solveODE(datahandle, tspan, x0, p); -catch MEa - makeConfig(configOld); - rethrow(ME); -end -makeConfig(configOld); - -%% Solve with Euler -[owndir, ~] = fileparts(mfilename('fullpath')); -if contains(owndir, 'Editor_') - [owndir, ~] = fileparts(matlab.desktop.editor.getActiveFilename); -end - -euler_prefix = sprintf('sol_euler_%.0e', eulerStep); -euler_vname = 'sol_euler'; -euler_fname = fullfile(owndir, [euler_prefix, '.mat']); - -solEuler = loadEulerOrCompute(euler_fname, euler_vname, rhs, tspan, x0, p, eulerStep); - - -%% Plot solution -windowTitleX = "3D Solution Trajectories"; -plot_x_ifdiff = deval(solIfdiff, plot_t); -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, 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); -sensFunVDE = generateSensitivityFunction(datahandle, solIfdiff, ... - 'method', 'VDE', ... - 'FDstep', FDstep, ... - 'calcGy', true, ... - 'calcGp', false); -sensVDE = sensFunVDE(plot_t); -G = arrayfun(@(s) s.Gy(:, wrt_y), sensVDE, 'UniformOutput', false); -plot_sens_ifdiff = [G{:}]; - - -%% Compute Sensitivity with Euler -euler_prefix_disturb = sprintf('%s_disturb_wrt_y%d', euler_prefix, wrt_y); -euler_fname_disturb = fullfile(owndir, [euler_prefix_disturb, '.mat']); - -x0_disturb = x0; -x0_disturb(wrt_y) = x0_disturb(wrt_y) + eulerDisturbH; -solEulerDisturb = loadEulerOrCompute(euler_fname_disturb, euler_vname, rhs, tspan, x0_disturb, p, eulerStep); -sensEuler = (solEulerDisturb.y - solEuler.y) / eulerDisturbH; -plot_sens_euler = interp1(solEuler.x, sensEuler', plot_t)'; - - -%% Plot Sensitivity -windowTitle = "Sensitivity and failiure modes of Euler nr. "; -for idx_y=1:3 - 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 - - -%% Plot alpha and switching function -data = datahandle.getData(); -t_alpha = data.sliding.convexification.t; -alpha = data.sliding.convexification.alpha; -ax = plotSwitchingFuncOrAlpha([], t_alpha, alpha, 'Alpha', 2, colorIfdiff, 'left', 'Alpha'); - -sw = solIfdiff.switchingFunction{1}; -sw_x = arrayfun(@(t) sw([], t, deval(solIfdiff, t), p), t_alpha); -plotSwitchingFuncOrAlpha(ax, t_alpha, sw_x, 'Switching Function', 2, colorEuler, 'right', 'Switching Function'); - -plotSwitches(ax, solIfdiff.switches) - - -%% 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, saveEvery); -fprintf('Saving result to %s for later reuse.\n', fname); -save(fname, vname); -end - -function plotSwitches(ax, switches) -xline(ax, switches, '--', 'LineWidth', 1.5, 'HandleVisibility', 'off'); -end - -function ax = plotSwitchingFuncOrAlpha(ax, t, x, name, lw, color, yyax, ylab) -if isempty(ax) - f = figure('Name', 'Alpha and Switching Function'); - ax = axes(f); -end -yyaxis(ax, yyax); -hold(ax, 'on'); -plot(ax, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color); -hold(ax, 'off'); -grid(ax, 'on'); -xlabel(ax, 't'); -ylabel(ax, ylab); -legend(ax, 'location', 'northeast'); - -yl = ylim(ax); -yl(1) = 0; -ylim(ax, yl); -end - -function ax = plotSens(ax, t, x, name, lw, color, ls, windowTitleX, zoomX, zoomY) -if isempty(ax) - 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'); -legend(ax, 'location', 'best'); - -% Zoomed plot -hold(axZoom, 'on'); -plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); -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, windowTitleX) -if isempty(ax) - f = figure('Name', windowTitleX); - ax = axes(f); -end -hold(ax, 'on'); -plot3(ax, x(3, :), x(2, :), x(1, :), 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); -hold(ax, 'off'); - -view(ax, [97 51]); -box(ax, 'on'); -grid(ax, 'on'); -xlabel(ax, 'Predator'); -ylabel(ax, 'Prey 2'); -zlabel(ax, 'Prey 1'); -legend(ax, 'location', 'northeast'); -end - -function sol = explEuler(rhs, tspan, x0, p, stepsize, saveEvery) -xdim = length(x0); -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); -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 -end -fprintf('\n'); -% Remove unused preallocated entries -X = X(:, 1:k-1); -T = T(1:k-1); - -sol.x = T; -sol.y = X; -end From e71674d87ab10066b8ffc7e472b440e4a45d5b5b Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 28 May 2026 16:36:25 +0200 Subject: [PATCH 30/43] rename in White Cabbage and Predator Prey Filippov --- .../runCabbage.m | 1 + .../predatorpreyFilippov/rhsPredatorPrey.m | 57 ------------------- .../predatorpreyFilippov/rhsPredatorPrey3D.m | 39 +++++++++++++ ...{runPredatorPrey.m => runPredatorPrey3D.m} | 20 ------- 4 files changed, 40 insertions(+), 77 deletions(-) delete mode 100644 toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m create mode 100644 toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m rename toolbox/examples/predatorpreyFilippov/{runPredatorPrey.m => runPredatorPrey3D.m} (90%) diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m index 918690ff..d03f949e 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m @@ -41,6 +41,7 @@ percent = (param_opt*100./[getParamsCabbage();2.48252;0;0])-100*param_opt param_opt + %% Joint confidence intervals % if Statistics&ML toolbox is installed, use nlparci instead of helper: % CI = nlparci(param_opt,residual,'jacobian',jacobian); diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m deleted file mode 100644 index 3c20d164..00000000 --- a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m +++ /dev/null @@ -1,57 +0,0 @@ -<<<<<<< HEAD -======= -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m ->>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar) -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m -function dx = rhsPredatorPrey(~, x, p) -======== -function dx = rhsPredatorPrey3D(~, x, p) ->>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m -<<<<<<< HEAD -======= -======== -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m -function dx = rhsPredatorPrey3D(~, x, p) -======== -function dx = rhsPredatorPrey(~, x, p) ->>>>>>>> 5dee82a (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m ->>>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m ->>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar) -% 2-Prey-1-Predatory Model -% -% Source: -% Tiago Carvalho, Douglas Duarte Novaes, Luiz Fernando Goncalves: -% Sliding Shilnikov connection in Filippov-type predator-prey model -% Nonlinear Dyn (2020) 100:2973-2987 - -% Preallocate -dx = zeros(3, 1); - -% Unpack state components and parameters -p1 = x(1); % prey1 -p2 = x(2); % prey2 -P = x(3); % Predator - -r1 = p(1); -r2 = p(2); -beta1 = p(3); -beta2 = p(4); -q1 = p(5); -q2 = p(6); -m = p(7); -e = p(8); -aq = p(9); - -% Switching manifold -H = beta1*p1 - aq*beta2*p2; - -if H >= 0 - dx(1) = (r1 - beta1*P) .* p1; - dx(2) = r2*p2; - dx(3) = (e*q1*beta1*p1 - m) .* P; -else - dx(1) = r1*p1; - dx(2) = (r2 - beta2*P) .* p2; - dx(3) = (e*q2*beta2*p2 - m) .* P; -end -end diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m new file mode 100644 index 00000000..b481a0c6 --- /dev/null +++ b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m @@ -0,0 +1,39 @@ +function dx = rhsPredatorPrey(~, x, p) +% 2-Prey-1-Predatory Model +% +% Source: +% Tiago Carvalho, Douglas Duarte Novaes, Luiz Fernando Goncalves: +% Sliding Shilnikov connection in Filippov-type predator-prey model +% Nonlinear Dyn (2020) 100:2973-2987 + +% Preallocate +dx = zeros(3, 1); + +% Unpack state components and parameters +p1 = x(1); % prey1 +p2 = x(2); % prey2 +P = x(3); % Predator + +r1 = p(1); +r2 = p(2); +beta1 = p(3); +beta2 = p(4); +q1 = p(5); +q2 = p(6); +m = p(7); +e = p(8); +aq = p(9); + +% Switching manifold +H = beta1*p1 - aq*beta2*p2; + +if H >= 0 + dx(1) = (r1 - beta1*P) .* p1; + dx(2) = r2*p2; + dx(3) = (e*q1*beta1*p1 - m) .* P; +else + dx(1) = r1*p1; + dx(2) = (r2 - beta2*P) .* p2; + dx(3) = (e*q2*beta2*p2 - m) .* P; +end +end diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m similarity index 90% rename from toolbox/examples/predatorpreyFilippov/runPredatorPrey.m rename to toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m index e5db01be..eea2a0ee 100644 --- a/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +++ b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m @@ -5,11 +5,7 @@ % Integrator intIfdiff = @ode45; intOptions = odeset('reltol', 1e-5, 'abstol', 1e-12); -<<<<<<< HEAD -eulerStep = 1e-5; -======= eulerStep = 1e-7; ->>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar) % Parameter values required for Shilnikov behavior in the paper (see RHS file). m = 0.790; @@ -29,23 +25,7 @@ x0 = [a; a; r1-r2]; % RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. -<<<<<<< HEAD -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey.m rhs = @rhsPredatorPrey; -======== -rhs = @rhsPredatorPrey3D; ->>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m -======= -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m -rhs = @rhsPredatorPrey; -======== -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m -rhs = @rhsPredatorPrey3D; -======== -rhs = @rhsPredatorPrey; ->>>>>>>> 5dee82a (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/runPredatorPrey.m ->>>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/runPredatorPrey.m ->>>>>>> d197a43 (Renamed files to fit new naming scheme by Pilar) % Plotting plot_n = 10000; From ce25f468f4ef1356a0d6a0a624ee666192c2a5b8 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 20 Aug 2026 14:49:38 +0200 Subject: [PATCH 31/43] more work for example rename --- .../confidenceIntervalHelper.m | 42 +++++++++++++++++++ 1 file changed, 42 insertions(+) create mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m b/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m new file mode 100644 index 00000000..3cef00fd --- /dev/null +++ b/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m @@ -0,0 +1,42 @@ +function ci = confidenceIntervalHelper(beta, resid, varargin) + % confidenceIntervalHelper Computes confidence intervals like nlparci + % + % + % varargin: + + J = []; + Sigma = []; + alpha = 0.05; + if nargin>=3 && ischar(varargin{1}) + okargs = {'jacobian' 'covariance' 'alpha'}; + defaults = {[] [] 0.05}; + [eid emsg J Sigma alpha] = statgetargs(okargs,defaults,varargin{:}); + if ~isempty(eid) + error(sprintf('stats:nlparci:%s',eid),emsg); + end + else + % CI = NLPARCI(BETA,RESID,J,ALPHA) + if nargin>=3, J = varargin{1}; end + if nargin>=4, alpha = varargin{2}; end + end + if nargin<=2 || isempty(resid) || (isempty(J) && isempty(Sigma)) + error('stats:nlparci:TooFewInputs',... + 'Requires BETA, RESID, and either J or SIGMA.'); + end; + if ~isreal(beta) || ~isreal(J) + error('stats:nlparci:ComplexParams',... + ['Cannot compute confidence intervals for complex parameters. You must\n' ... + 'reparameterize the model into its real and imaginary parts.']); + end + if isempty(alpha) + alpha = 0.05; + elseif ~isscalar(alpha) || ~isnumeric(alpha) || alpha<=0 || alpha >= 1 + error('stats:nlparci:BadAlpha',... + 'ALPHA must be a scalar between 0 and 1.'); + end + + + % Calculate confidence interval + delta = se * tinv(1-alpha/2,v); + ci = [(beta(:) - delta) (beta(:) + delta)]; +end \ No newline at end of file From 19a2fa564b37be93d4fb74754a140ad52037c23e Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 21 Sep 2026 12:14:38 +0200 Subject: [PATCH 32/43] Refactor computeCI and tInv for confidence intervals in runCabbage --- .../HelpersWhiteCabbage/BetaCdf.m | 41 -------- .../HelpersWhiteCabbage/BetaInv.m | 73 --------------- .../HelpersWhiteCabbage/BetaPdf.m | 38 -------- .../HelpersWhiteCabbage/computeCI.m | 46 ++++----- .../HelpersWhiteCabbage/tInv.m | 93 +++++++++++-------- .../confidenceIntervalHelper.m | 42 --------- .../plotSensitivitiesCabbage.m | 5 + .../runCabbage.m | 2 +- 8 files changed, 83 insertions(+), 257 deletions(-) delete mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m delete mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m delete mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaPdf.m delete mode 100644 toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m deleted file mode 100644 index 84dad671..00000000 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaCdf.m +++ /dev/null @@ -1,41 +0,0 @@ -function cdf = BetaCdf (x, a, b) -% BETACDF CDF of the Beta distribution -% CDF = BetaCdf(X, A, B) computes, for each element of X, the CDF -% at X of the beta distribution with parameters A and B (i.e. -% mean of the distribution is A/(A+B) and variance is -% A*B/(A+B)^2/(A+B+1) ). - -if (nargin ~= 3) - error ('Betacdf: you should provide three arguments'); -end - -if (~isscalar (a) || ~isscalar(b)) - [retval, x, a, b] = common_size (x, a, b); - if (retval > 0) - error ('Betacdf: x, a and b must be of common size or scalar'); - end -end - -sz = size(x); -cdf = zeros (sz); - -k = find (~(a > 0) | ~(b > 0) | isnan (x)); -if (any (k)) - cdf (k) = NaN; -end - -k = find ((x >= 1) & (a > 0) & (b > 0)); -if (any (k)) - cdf (k) = 1; -end - -k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); -if (any (k)) - if (isscalar (a) && isscalar(b)) - cdf (k) = betainc (x(k), a, b); - else - cdf (k) = betainc (x(k), a(k), b(k)); - end -end - -end diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m deleted file mode 100644 index e470840b..00000000 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaInv.m +++ /dev/null @@ -1,73 +0,0 @@ -function inv = BetaInv (x, a, b) -% BETAINV Quantile function of the Beta distribution -% INV = Betainv(X, A, B) computes, for each element of X, the -% quantile (the inverse of the CDF) at X of the Beta distribution -% with parameters A and B (i.e. mean of the distribution is -% A/(A+B) and variance is A*B/(A+B)^2/(A+B+1) ). - -if (nargin ~= 3) - error ('Betainv: you must give three arguments'); -end - -if (~isscalar (a) || ~isscalar(b)) - [retval, x, a, b] = common_size (x, a, b); - if (retval > 0) - error ('Betainv: x, a and b must be of common size or scalars'); - end -end - -sz = size (x); -inv = zeros (sz); - -k = find ((x < 0) | (x > 1) | ~(a > 0) | ~(b > 0) | isnan (x)); -if (any (k)) - inv (k) = NaN; -end - -k = find ((x == 1) & (a > 0) & (b > 0)); -if (any (k)) - inv (k) = 1; -end - -k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); -if (any (k)) - if (~isscalar(a) || ~isscalar(b)) - a = a (k); - b = b (k); - y = a ./ (a + b); - else - y = a / (a + b) * ones (size (k)); - end - x = x (k); - l = find (y < eps); - if (any (l)) - y(l) = sqrt (eps) * ones (length (l), 1); - end - l = find (y > 1 - eps); - if (any (l)) - y(l) = 1 - sqrt (eps) * ones (length (l), 1); - end - - y_old = y; - for i = 1 : 10000 - h = (BetaCdf (y_old, a, b) - x) ./ BetaPdf (y_old, a, b); - y_new = y_old - h; - ind = find (y_new <= eps); - if (any (ind)) - y_new (ind) = y_old (ind) / 10; - end - ind = find (y_new >= 1 - eps); - if (any (ind)) - y_new (ind) = 1 - (1 - y_old (ind)) / 10; - end - h = y_old - y_new; - if (max (abs (h)) < sqrt (eps)) - break - end - y_old = y_new; - end - - inv (k) = y_new; -end - -end diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaPdf.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaPdf.m deleted file mode 100644 index ee8d4b48..00000000 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/BetaPdf.m +++ /dev/null @@ -1,38 +0,0 @@ -function pdf = BetaPdf (x, a, b) -% BETAPDF PDF of the Beta distribution -% PDF = betapdf(X, A, B) computes, for each element of X, the PDF -% at X of the beta distribution with parameters A and B (i.e. -% mean of the distribution is A/(A+B) and variance is -% A*B/(A+B)^2/(A+B+1) ). - -if (nargin ~= 3) - error ('betapdf: you must give three arguments'); -end - -if (~isscalar (a) || ~isscalar(b)) - [retval, x, a, b] = common_size (x, a, b); - if (retval > 0) - error ('betapdf: x, a and b must be of common size or scalar'); - end -end - -sz = size (x); -pdf = zeros (sz); - -k = find (~(a > 0) | ~(b > 0) | isnan (x)); -if (any (k)) - pdf (k) = NaN; -end - -k = find ((x > 0) & (x < 1) & (a > 0) & (b > 0)); -if (any (k)) - if (isscalar(a) && isscalar(b)) - pdf(k) = exp ((a - 1) .* log (x(k)) ... - + (b - 1) .* log (1 - x(k))-gammaln(a)-gammaln(b)+gammaln(a+b)); - else - pdf(k) = exp ((a(k) - 1) .* log (x(k)) ... - + (b(k) - 1) .* log (1 - x(k))-gammaln(a(k))-gammaln(b(k))+gammaln(a(k)+b(k))); - end -end - -end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m index fc97a04e..ab2abe7d 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m @@ -1,34 +1,38 @@ -function CI = computeCI(param, res, J) -%COMPUTECI computes the confidence level 95% confidence intervals in White Cabbage PE -% param - parameter vector (of optimized parameters) -% res - residual function -% J - Jacobian +function CI = computeCI(p, res, J, varargin) +% CI = computeCI(p, res, J, varargin) +% computes the confidence confidence intervals in the parameter +% estimation problem in runCabbage.m +% INPUT: p - parameter vector (of optimized parameters) +% res - residual (from lsqnonlin solve) +% J - Jacobian +% varargin - optional specification of significance level; +% 'alpha' - parameter in (0,1) -np = numel(param); +default_alpha = 0.05; % for 95% CI +alpha = olGetOption(varargin, 'alpha', default_alpha); + +np = numel(p); nr = numel(res); dof = nr - np; +res_variance = sum(res.^2)/dof; % Approximation when a column is zero vector -temp = find(max(abs(J)) == 0); -if ~isempty(temp) - J(:,temp) = sqrt(eps(class(J))); +index = find(max(abs(J)) == 0); +if ~isempty(index) + J(:,index) = 1e-8; end -% QR factorization for J and computation of -% parameter covariance matrix -[~,R] = qr(J,0); -Rinv = R \ eye(size(R)); -diag_info = sum(Rinv.*Rinv, 2); -rmse = norm(res)/sqrt(dof); +% computation of parameter covariance matrix by QR factorization +[~, R] = qr(J, 0); +Cov_p = res_variance * inv(R) * transpose(inv(R)); -% critical t-value -% we use alpha = 0.05 -% and hence tcrit = 1-alpha/2 = 0.975 -tcrit = tInv(0.975, dof); +% critical t-value at 1-alpha/2 +t_crit = tInv(alpha, dof); % standard error -SE = sqrt(diag_info)*rmse; +std_errors = sqrt(diag(Cov_p)); +margin = t_crit * std_errors; -CI = [param - tcrit*SE, param + tcrit*SE]; +CI = [p - margin, p + margin]; end diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m index fa7ad924..4f767168 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m @@ -1,44 +1,55 @@ -function inv = tInv (x, n) - - if (nargin ~= 2) - error("tinv: Incorrect usage: inv = tinv(x, n)"); - end - - if (~isreal (x) || ~isreal (n)) - error ("tinv: X and N must not be complex"); - end - - if (isa (x, "single") || isa (n, "single")) - inv = NaN (size (x), "single"); - else - inv = NaN (size (x)); - end - - k = (x == 0) & (n > 0); - inv(k) = -Inf; - - k = (x == 1) & (n > 0); - inv(k) = Inf; - - if (isscalar (n)) - k = (x > 0) & (x < 1); - if ((n > 0) && (n < 10000)) - inv(k) = (sign (x(k) - 1/2) ... - .* sqrt (n * (1 ./ BetaInv (2*min (x(k), 1 - x(k)), ... - n/2, 1/2) - 1))); - elseif (n >= 10000) - %% For large n, use the quantiles of the standard normal - inv(k) = sqrt (2) * erfinv (2 * x(k) - 1); - end - else - k = (x > 0) & (x < 1) & (n > 0) & (n < 10000); - inv(k) = (sign (x(k) - 1/2) ... - .* sqrt (n(k) .* (1 ./ BetaInv (2*min (x(k), 1 - x(k)), ... - n(k)/2, 1/2) - 1))); +function t_crit = tInv(alpha, dof) +% tcrit = tInv(alpha, dof) +% Computes the two-sided critical t-value for significance level alpha. +% INPUT: +% alpha - significance level in (0,1) (e.g. alpha = 0.05 for 95% CI) +% dof - degrees of freedom +% OUTPUT: +% t_crit - critical t-value + +% confidence level (e.g. 0.975 if alpha = 0.05) +conf_level = 1 - 0.5*alpha; + +% Input validation +if dof <= 0 + error('Degrees of freedom must be positive'); +end +if conf_level < 0 || conf_level > 1 + error('Cutoff must be in (0, 1)'); +end + +% at mid-point +tol = 1e-12; +if abs(conf_level - 0.5) < tol + t_crit = 0; + return; +end + +% Computation for negative t +if conf_level < 0.5 + sign_t = -1; + conf_level_pos = 1 - conf_level; +else + sign_t = 1; + conf_level_pos = conf_level; +end + + +%% +% CDF(t) = 1 - 0.5*betainc(dof/(dof+t^2), dof/2, 0.5) +% Solve: CDF(t) = conf_level_pos - %% For large n, use the quantiles of the standard normal - k = (x > 0) & (x < 1) & (n >= 10000); - inv(k) = sqrt (2) * erfinv (2 * x(k) - 1); - end +objFunc = @(t) 1 - 0.5*betainc(dof./(dof + t.^2), dof/2, 0.5) - conf_level_pos; +t_upper = 1; +while objFunc(t_upper) < 0 + t_upper = t_upper * 2; + if t_upper > 1e5 + error('Failed to bracket root for tInv; conf_level might be too close to 1'); + end end + +t_pos = fzero(objFunc, [0, t_upper]); +t_crit = sign_t * t_pos; + +end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m b/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m deleted file mode 100644 index 3cef00fd..00000000 --- a/toolbox/examples/parameterEstimationWhiteCabbage/confidenceIntervalHelper.m +++ /dev/null @@ -1,42 +0,0 @@ -function ci = confidenceIntervalHelper(beta, resid, varargin) - % confidenceIntervalHelper Computes confidence intervals like nlparci - % - % - % varargin: - - J = []; - Sigma = []; - alpha = 0.05; - if nargin>=3 && ischar(varargin{1}) - okargs = {'jacobian' 'covariance' 'alpha'}; - defaults = {[] [] 0.05}; - [eid emsg J Sigma alpha] = statgetargs(okargs,defaults,varargin{:}); - if ~isempty(eid) - error(sprintf('stats:nlparci:%s',eid),emsg); - end - else - % CI = NLPARCI(BETA,RESID,J,ALPHA) - if nargin>=3, J = varargin{1}; end - if nargin>=4, alpha = varargin{2}; end - end - if nargin<=2 || isempty(resid) || (isempty(J) && isempty(Sigma)) - error('stats:nlparci:TooFewInputs',... - 'Requires BETA, RESID, and either J or SIGMA.'); - end; - if ~isreal(beta) || ~isreal(J) - error('stats:nlparci:ComplexParams',... - ['Cannot compute confidence intervals for complex parameters. You must\n' ... - 'reparameterize the model into its real and imaginary parts.']); - end - if isempty(alpha) - alpha = 0.05; - elseif ~isscalar(alpha) || ~isnumeric(alpha) || alpha<=0 || alpha >= 1 - error('stats:nlparci:BadAlpha',... - 'ALPHA must be a scalar between 0 and 1.'); - end - - - % Calculate confidence interval - delta = se * tinv(1-alpha/2,v); - ci = [(beta(:) - delta) (beta(:) + delta)]; -end \ No newline at end of file diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m index 8d2e3a61..fdfb7775 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m @@ -1,8 +1,13 @@ %% Solution ifdiff integrator = @ode45; +<<<<<<< HEAD odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration('rhsCabbage', 'integrator', func2str(integrator), 'options', odeoptionsrhs_test); +======= +odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); +datahandle = prepareDatahandleForIntegration('rhsCabbage', 'integrator', integrator, 'options', odeoptionsrhs_test); +>>>>>>> 3ce4bb0 (Refactor computeCI and tInv for confidence intervals in runCabbage) tspan = [0 118]; initialvalues = [2.48252;0;0]; diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m index d03f949e..1bfc6d75 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/runCabbage.m @@ -45,7 +45,7 @@ %% Joint confidence intervals % if Statistics&ML toolbox is installed, use nlparci instead of helper: % CI = nlparci(param_opt,residual,'jacobian',jacobian); -CI = computeCI(param_opt, residual, jacobian); +CI = computeCI(param_opt, residual, jacobian, 'alpha', 0.05); %% Solution with estimated parameters initialvalues_opt = param_opt(10:12); From 982412d5f5d6e908eab03cca503b0ad8563628f1 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 21 Sep 2026 12:22:00 +0200 Subject: [PATCH 33/43] Rebased new sensitivities plot onto local; removed func2str in datahandle call. --- .../plotSensitivitiesCabbage.m | 8 ++------ 1 file changed, 2 insertions(+), 6 deletions(-) diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m index fdfb7775..7c172dba 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m @@ -1,13 +1,9 @@ %% Solution ifdiff integrator = @ode45; -<<<<<<< HEAD odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-6); -datahandle = prepareDatahandleForIntegration('rhsCabbage', 'integrator', func2str(integrator), 'options', odeoptionsrhs_test); -======= -odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); datahandle = prepareDatahandleForIntegration('rhsCabbage', 'integrator', integrator, 'options', odeoptionsrhs_test); ->>>>>>> 3ce4bb0 (Refactor computeCI and tInv for confidence intervals in runCabbage) + tspan = [0 118]; initialvalues = [2.48252;0;0]; @@ -116,4 +112,4 @@ grid on set(gca, 'GridAlpha', 0.15) end -end \ No newline at end of file +end From ae481bcc0ee385d2160843c989756e4efc262978 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 21 Sep 2026 17:00:16 +0200 Subject: [PATCH 34/43] Discussed changes in computeCI and tInv --- .../HelpersWhiteCabbage/computeCI.m | 26 +++++++++++-------- .../HelpersWhiteCabbage/tInv.m | 24 ++++++----------- 2 files changed, 23 insertions(+), 27 deletions(-) diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m index ab2abe7d..cf733ca8 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/computeCI.m @@ -1,22 +1,25 @@ -function CI = computeCI(p, res, J, varargin) +function CI = computeCI(p, res, J, alpha) % CI = computeCI(p, res, J, varargin) % computes the confidence confidence intervals in the parameter % estimation problem in runCabbage.m -% INPUT: p - parameter vector (of optimized parameters) -% res - residual (from lsqnonlin solve) -% J - Jacobian -% varargin - optional specification of significance level; -% 'alpha' - parameter in (0,1) - -default_alpha = 0.05; % for 95% CI -alpha = olGetOption(varargin, 'alpha', default_alpha); +% INPUT: +% p - parameter vector (of optimized parameters) +% res - residual (from lsqnonlin solve) +% J - Jacobian +% varargin: alpha - parameter in (0,1) +% OUTPUT: +% CI - two-sided confidence intervals + +if nargin < 4 + alpha = 0.05; % defaultfor 95% CI +end np = numel(p); nr = numel(res); dof = nr - np; res_variance = sum(res.^2)/dof; -% Approximation when a column is zero vector +% approximation when a column is zero vector index = find(max(abs(J)) == 0); if ~isempty(index) J(:,index) = 1e-8; @@ -24,7 +27,8 @@ % computation of parameter covariance matrix by QR factorization [~, R] = qr(J, 0); -Cov_p = res_variance * inv(R) * transpose(inv(R)); +R_inv = R \ eye(size(R)); +Cov_p = res_variance * R_inv * transpose(R_inv); % critical t-value at 1-alpha/2 t_crit = tInv(alpha, dof); diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m index 4f767168..c992251b 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/HelpersWhiteCabbage/tInv.m @@ -7,15 +7,15 @@ % OUTPUT: % t_crit - critical t-value -% confidence level (e.g. 0.975 if alpha = 0.05) +% two sided confidence level (e.g. 0.975 if alpha = 0.05) conf_level = 1 - 0.5*alpha; -% Input validation +% input validation if dof <= 0 error('Degrees of freedom must be positive'); end if conf_level < 0 || conf_level > 1 - error('Cutoff must be in (0, 1)'); + error('Confidence level must be in (0,1)'); end % at mid-point @@ -25,7 +25,7 @@ return; end -% Computation for negative t +% computation for negative t (due to point symmetry of CDF) if conf_level < 0.5 sign_t = -1; conf_level_pos = 1 - conf_level; @@ -34,22 +34,14 @@ conf_level_pos = conf_level; end - -%% +% determine t_crit % CDF(t) = 1 - 0.5*betainc(dof/(dof+t^2), dof/2, 0.5) % Solve: CDF(t) = conf_level_pos -objFunc = @(t) 1 - 0.5*betainc(dof./(dof + t.^2), dof/2, 0.5) - conf_level_pos; - -t_upper = 1; -while objFunc(t_upper) < 0 - t_upper = t_upper * 2; - if t_upper > 1e5 - error('Failed to bracket root for tInv; conf_level might be too close to 1'); - end -end +objFunc = @(t) 1 - 0.5*betainc(dof/(dof + t^2), dof/2, 0.5) - conf_level_pos; -t_pos = fzero(objFunc, [0, t_upper]); +options = optimoptions('fsolve', 'TolFun', 1e-10, 'Display', 'off'); +t_pos = fsolve(objFunc, 1, options); t_crit = sign_t * t_pos; end \ No newline at end of file From c0c428b7b467ea498c542b1c7878ac7abbf3867a Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 24 Aug 2026 13:22:33 +0200 Subject: [PATCH 35/43] Removed unecessary files for pull request --- .../predatorPrey3D_bench.m | 324 ++++++++++++++++++ .../predatorpreyFilippov/runPredatorPrey3D.m | 12 + 2 files changed, 336 insertions(+) create mode 100644 toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m diff --git a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m new file mode 100644 index 00000000..cbd21329 --- /dev/null +++ b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m @@ -0,0 +1,324 @@ +%% Setup +% Time span +tspan = [0, 100]; + +% Integrator +intIfdiff = @ode45; +intOptions = odeset('reltol', 1e-5, 'abstol', 1e-12); +eulerStep = 1e-7; + +% Parameter values required for Shilnikov behavior in the paper (see RHS file). +m = 0.790; +r1 = 0.836; +e = 0.948; +q1 = 0.772; +aq = 0.660; +beta2 = 0.896; +% Some values changed for prettier plot (remains a Filippov system). +q2 = 1.500; % 1.084 (paper) +r2 = 0.300; % 0.126 (paper) +beta1 = 7.810; % 7.800 (Example plot in paper, but can be chosen arbitrarily, retaining Shilnikov behavior) +p = [r1, r2, beta1, beta2, q1, q2, m, e, aq]; + +% Initial values (used for plot in paper, but may be changed) +a = 0.286975; +x0 = [a; a; r1-r2]; + +% RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. +<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +rhs = @rhsPredatorPrey3D; +======== +rhs = @rhsPredatorPrey; +>>>>>>>> 5dee82a (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +======= +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +rhs = @rhsPredatorPrey; +======== +rhs = @rhsPredatorPrey3D; +>>>>>>>> 20eb956 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +>>>>>>> 06aec17 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m + +% Plotting +plot_n = 10000; +plot_t = linspace(tspan(1), tspan(end), plot_n); + +nameIfdiff = sprintf('Ifdiff/%s', func2str(intIfdiff)); +nameEuler = sprintf('Euler/%.0e', eulerStep); +lwIfdiff = 3; +lwEuler = 3; +colorIfdiff = [0, 0.447, 0.741]; +colorEuler = [0.85, 0.325, 0.098]; +lsIfdiff = '-'; +lsEuler = '--'; + +% Sensitivity +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)); +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +datahandle = prepareDatahandleForIntegration('rhsPredatorPrey', 'solver', intIfdiff, 'options', intOptions); +======== +datahandle = prepareDatahandleForIntegration('pprhs', 'solver', intIfdiff, 'options', intOptions); +>>>>>>>> c6b97c1 (Removed unecessary files for pull request):toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m +solveODE(datahandle, tspan, x0, p); +disp("Compilation done..."); + +%% Solve with IFDIFF +datahandle = prepareDatahandleForIntegration(rhs, 'solver', intIfdiff, 'options', intOptions); +% Enable storing of convexification data +configNew = makeConfig(); +configNew.storeSlidingInfo = true; +configOld = makeConfig(configNew); +try + solIfdiff = solveODE(datahandle, tspan, x0, p); +catch MEa + makeConfig(configOld); + rethrow(ME); +end +makeConfig(configOld); + +%% Solve with Euler +[owndir, ~] = fileparts(mfilename('fullpath')); +if contains(owndir, 'Editor_') + [owndir, ~] = fileparts(matlab.desktop.editor.getActiveFilename); +end + +euler_prefix = sprintf('sol_euler_%.0e', eulerStep); +euler_vname = 'sol_euler'; +euler_fname = fullfile(owndir, [euler_prefix, '.mat']); + +solEuler = loadEulerOrCompute(euler_fname, euler_vname, rhs, tspan, x0, p, eulerStep); + + +%% Plot solution +windowTitleX = "3D Solution Trajectories"; +plot_x_ifdiff = deval(solIfdiff, plot_t); +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, 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); +sensFunVDE = generateSensitivityFunction(datahandle, solIfdiff, ... + 'method', 'VDE', ... + 'FDstep', FDstep, ... + 'calcGy', true, ... + 'calcGp', false); +sensVDE = sensFunVDE(plot_t); +G = arrayfun(@(s) s.Gy(:, wrt_y), sensVDE, 'UniformOutput', false); +plot_sens_ifdiff = [G{:}]; + + +%% Compute Sensitivity with Euler +euler_prefix_disturb = sprintf('%s_disturb_wrt_y%d', euler_prefix, wrt_y); +euler_fname_disturb = fullfile(owndir, [euler_prefix_disturb, '.mat']); + +x0_disturb = x0; +x0_disturb(wrt_y) = x0_disturb(wrt_y) + eulerDisturbH; +solEulerDisturb = loadEulerOrCompute(euler_fname_disturb, euler_vname, rhs, tspan, x0_disturb, p, eulerStep); +sensEuler = (solEulerDisturb.y - solEuler.y) / eulerDisturbH; +plot_sens_euler = interp1(solEuler.x, sensEuler', plot_t)'; + + +%% Plot Sensitivity +windowTitle = "Sensitivity and failiure modes of Euler nr. "; +for idx_y=1:3 + 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 + + +%% Plot alpha and switching function +data = datahandle.getData(); +t_alpha = data.sliding.convexification.t; +alpha = data.sliding.convexification.alpha; +ax = plotSwitchingFuncOrAlpha([], t_alpha, alpha, 'Alpha', 2, colorIfdiff, 'left', 'Alpha'); + +sw = solIfdiff.switchingFunction{1}; +sw_x = arrayfun(@(t) sw([], t, deval(solIfdiff, t), p), t_alpha); +plotSwitchingFuncOrAlpha(ax, t_alpha, sw_x, 'Switching Function', 2, colorEuler, 'right', 'Switching Function'); + +plotSwitches(ax, solIfdiff.switches) + + +%% 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, saveEvery); +fprintf('Saving result to %s for later reuse.\n', fname); +save(fname, vname); +end + +function plotSwitches(ax, switches) +xline(ax, switches, '--', 'LineWidth', 1.5, 'HandleVisibility', 'off'); +end + +function ax = plotSwitchingFuncOrAlpha(ax, t, x, name, lw, color, yyax, ylab) +if isempty(ax) + f = figure('Name', 'Alpha and Switching Function'); + ax = axes(f); +end +yyaxis(ax, yyax); +hold(ax, 'on'); +plot(ax, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color); +hold(ax, 'off'); +grid(ax, 'on'); +xlabel(ax, 't'); +ylabel(ax, ylab); +legend(ax, 'location', 'northeast'); + +yl = ylim(ax); +yl(1) = 0; +ylim(ax, yl); +end + +function ax = plotSens(ax, t, x, name, lw, color, ls, windowTitleX, zoomX, zoomY) +if isempty(ax) + 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'); +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +legend(ax, 'location', 'best'); + +% Zoomed plot +hold(axZoom, 'on'); +plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); +======== +legend(ax, 'location', 'northeast'); + +% Zoomed plot +hold(axZoom, 'on'); +plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); +>>>>>>>> c6b97c1 (Removed unecessary files for pull request):toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m +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, windowTitleX) +if isempty(ax) + f = figure('Name', windowTitleX); + ax = axes(f); +end +hold(ax, 'on'); +plot3(ax, x(3, :), x(2, :), x(1, :), 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); +hold(ax, 'off'); + +view(ax, [97 51]); +box(ax, 'on'); +grid(ax, 'on'); +xlabel(ax, 'Predator'); +ylabel(ax, 'Prey 2'); +zlabel(ax, 'Prey 1'); +legend(ax, 'location', 'northeast'); +end + +function sol = explEuler(rhs, tspan, x0, p, stepsize, saveEvery) +xdim = length(x0); +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); +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 +end +fprintf('\n'); +% 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/runPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m index eea2a0ee..96ad722b 100644 --- a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +++ b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m @@ -47,7 +47,11 @@ %% 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)); +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m datahandle = prepareDatahandleForIntegration('rhsPredatorPrey', 'solver', intIfdiff, 'options', intOptions); +======== +datahandle = prepareDatahandleForIntegration('pprhs', 'solver', intIfdiff, 'options', intOptions); +>>>>>>>> c6b97c1 (Removed unecessary files for pull request):toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m solveODE(datahandle, tspan, x0, p); disp("Compilation done..."); @@ -235,11 +239,19 @@ function plotSwitches(ax, switches) grid(ax, 'on'); xlabel(ax, 'Time'); ylabel(ax, 'Sensitivity'); +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m legend(ax, 'location', 'best'); % Zoomed plot hold(axZoom, 'on'); plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); +======== +legend(ax, 'location', 'northeast'); + +% Zoomed plot +hold(axZoom, 'on'); +plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); +>>>>>>>> c6b97c1 (Removed unecessary files for pull request):toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m hold(axZoom, 'off'); grid(axZoom, 'on'); xlabel(axZoom, 'Time'); From abb4234401b8b2446c70c3db1dd8f38552d7270b Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 24 Aug 2026 14:03:40 +0200 Subject: [PATCH 36/43] Changed linestyle and thickness in sensitivity plot for pprEx --- .../predatorpreyFilippov/predatorPrey3D_bench.m | 17 +++++------------ 1 file changed, 5 insertions(+), 12 deletions(-) diff --git a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m index cbd21329..5aaf724f 100644 --- a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m +++ b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m @@ -25,19 +25,8 @@ x0 = [a; a; r1-r2]; % RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. -<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey.m -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m -rhs = @rhsPredatorPrey3D; -======== -rhs = @rhsPredatorPrey; ->>>>>>>> 5dee82a (Renamed files to fit new naming scheme by Pilar):toolbox/examples/predatorpreyFilippov/runPredatorPrey.m -======= -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey.m rhs = @rhsPredatorPrey; -======== -rhs = @rhsPredatorPrey3D; ->>>>>>>> 20eb956 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m ->>>>>>> 06aec17 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m + % Plotting plot_n = 10000; @@ -262,8 +251,12 @@ function plotSwitches(ax, switches) % Zoomed plot hold(axZoom, 'on'); +<<<<<<< HEAD plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); >>>>>>>> c6b97c1 (Removed unecessary files for pull request):toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m +======= +plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); +>>>>>>> 2b44ca7 (Changed linestyle and thickness in sensitivity plot for pprEx) hold(axZoom, 'off'); grid(axZoom, 'on'); xlabel(axZoom, 'Time'); From 5fa92b2a1cacf4981e4d418c9737822741249761 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 31 Aug 2026 13:25:22 +0200 Subject: [PATCH 37/43] Small change in plot --- toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m | 3 +++ 1 file changed, 3 insertions(+) diff --git a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m index 5aaf724f..6df856e6 100644 --- a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m +++ b/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m @@ -240,7 +240,10 @@ function plotSwitches(ax, switches) grid(ax, 'on'); xlabel(ax, 'Time'); ylabel(ax, 'Sensitivity'); +<<<<<<< HEAD <<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +======= +>>>>>>> 78b2add (Small change in plot) legend(ax, 'location', 'best'); % Zoomed plot From 2a4db56ccf528d52182a21849df0c41d3690e7af Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 31 Aug 2026 18:26:30 +0200 Subject: [PATCH 38/43] Renamed files to fit new naming scheme by Pilar --- ...{rhsPredatorPrey3D.m => rhsPredatorPrey.m} | 0 ...edatorPrey3D_bench.m => runPredatorPrey.m} | 21 +------------------ 2 files changed, 1 insertion(+), 20 deletions(-) rename toolbox/examples/predatorpreyFilippov/{rhsPredatorPrey3D.m => rhsPredatorPrey.m} (100%) rename toolbox/examples/predatorpreyFilippov/{predatorPrey3D_bench.m => runPredatorPrey.m} (90%) diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m similarity index 100% rename from toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m rename to toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m diff --git a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m similarity index 90% rename from toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m rename to toolbox/examples/predatorpreyFilippov/runPredatorPrey.m index 6df856e6..8182770f 100644 --- a/toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m +++ b/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m @@ -27,7 +27,6 @@ % RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. rhs = @rhsPredatorPrey; - % Plotting plot_n = 10000; plot_t = linspace(tspan(1), tspan(end), plot_n); @@ -48,11 +47,8 @@ %% 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)); -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m datahandle = prepareDatahandleForIntegration('rhsPredatorPrey', 'solver', intIfdiff, 'options', intOptions); -======== -datahandle = prepareDatahandleForIntegration('pprhs', 'solver', intIfdiff, 'options', intOptions); ->>>>>>>> c6b97c1 (Removed unecessary files for pull request):toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m + solveODE(datahandle, tspan, x0, p); disp("Compilation done..."); @@ -240,26 +236,11 @@ function plotSwitches(ax, switches) grid(ax, 'on'); xlabel(ax, 'Time'); ylabel(ax, 'Sensitivity'); -<<<<<<< HEAD -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m -======= ->>>>>>> 78b2add (Small change in plot) legend(ax, 'location', 'best'); % Zoomed plot hold(axZoom, 'on'); plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); -======== -legend(ax, 'location', 'northeast'); - -% Zoomed plot -hold(axZoom, 'on'); -<<<<<<< HEAD -plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); ->>>>>>>> c6b97c1 (Removed unecessary files for pull request):toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m -======= -plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); ->>>>>>> 2b44ca7 (Changed linestyle and thickness in sensitivity plot for pprEx) hold(axZoom, 'off'); grid(axZoom, 'on'); xlabel(axZoom, 'Time'); From ed7ba48f827fd26a6a3d7b0f446a6678a157d2b5 Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 28 May 2026 16:36:25 +0200 Subject: [PATCH 39/43] rename in White Cabbage and Predator Prey Filippov --- .../plotSensitivitiesCabbage.m | 251 +++++++++++++++ ...{rhsPredatorPrey.m => rhsPredatorPrey3D.m} | 4 + .../predatorpreyFilippov/runPredatorPrey.m | 301 ------------------ 3 files changed, 255 insertions(+), 301 deletions(-) rename toolbox/examples/predatorpreyFilippov/{rhsPredatorPrey.m => rhsPredatorPrey3D.m} (75%) delete mode 100644 toolbox/examples/predatorpreyFilippov/runPredatorPrey.m diff --git a/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m b/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m index 7c172dba..55fee6c7 100644 --- a/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m +++ b/toolbox/examples/parameterEstimationWhiteCabbage/plotSensitivitiesCabbage.m @@ -1,6 +1,7 @@ %% Solution ifdiff integrator = @ode45; +<<<<<<< HEAD odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-6); datahandle = prepareDatahandleForIntegration('rhsCabbage', 'integrator', integrator, 'options', odeoptionsrhs_test); @@ -8,6 +9,14 @@ tspan = [0 118]; initialvalues = [2.48252;0;0]; parameters_ODE = getParamsCabbage(); +======= +odeoptionsrhs_test = odeset( 'AbsTol', 1e-14,'RelTol', 1e-12); +datahandle = prepareDatahandleForIntegration('whiteCabbageRHS', 'integrator', func2str(integrator), 'options', odeoptionsrhs_test); + +tspan = [0 118]; +initialvalues = [2.48252;0;0]; +parameters_ODE = getParams_Cabbage(); +>>>>>>> 60ae785 (rename in White Cabbage and Predator Prey Filippov) sol = solveODE(datahandle, tspan, initialvalues, parameters_ODE); %% Precalculations for finite differences for sensitivities @@ -25,6 +34,7 @@ %% figure(1) +<<<<<<< HEAD clf % Extract Gy matrices @@ -62,10 +72,129 @@ end end +======= +subplot(3,3,1) +hold on +for i = 1:length(t_sens) + plot(t_sens(i),sensitivites(i).Gy(1,1), '.b') +end +axis([0 118 0 500]) +hold off +xlabel('t'); +ylabel('\partial y_L(t)/\partial y_{0,L}') +title('G_{y,11}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,2) + hold on +for i = 1:length(t_sens) + plot(t_sens(i),sensitivites(i).Gy(1,2), '.b') +end +axis([0 118 -1 1.5]) +hold off +xlabel('t'); +ylabel('\partial y_L(t)/\partial y_{0,S}') +title('G_{y,12}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,3) +hold on +for i = 1:length(t_sens) + plot(t_sens(i),sensitivites(i).Gy(1,3), '.b') +end +axis([0 118 -1 1.5]) +hold off +xlabel('t'); +ylabel('\partial y_L(t)/\partial y_{0,H}') +title('G_{y,13}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,4) +hold on +for i = 1:length(t_sens) + plot(t_sens(i),sensitivites(i).Gy(2,1), '.b') +end +axis([0 118 0 500]) +hold off +xlabel('t'); +ylabel('\partial y_S(t)/\partial y_{0,L}') +title('G_{y,21}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,5) + hold on +for i = 1:length(t_sens) + plot(t_sens(i),sensitivites(i).Gy(2,2), '.b') +end +axis([0 118 -1 1.5]) +hold off +xlabel('t'); +ylabel('\partial y_S(t)/\partial y_{0,S}') +title('G_{y,22}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,6) +hold on +for i = 1:length(t_sens) + plot(t_sens(i),sensitivites(i).Gy(2,3), '.b') +end +axis([0 118 -1 1.5]) +hold off +xlabel('t'); +ylabel('\partial y_S(t)/\partial y_{0,H}') +title('G_{y,23}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,7) +hold on +for i = 1:length(t_sens) + plot(t_sens(i),sensitivites(i).Gy(3,1), '.b') +end +axis([0 118 0 500]) +hold off +xlabel('t'); +ylabel('\partial y_H(t)/\partial y_{0,L}') +title('G_{y,31}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,8) +hold on +for i = 1:length(t_sens) + plot(t_sens(i),sensitivites(i).Gy(3,2), '.b') +end +axis([0 118 -1 1.5]) +hold off +xlabel('t'); +ylabel('\partial y_H(t)/\partial y_{0,S}') +title('G_{y,32}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,9) +hold on +for i = 1:length(t_sens) + plot(t_sens(i),sensitivites(i).Gy(3,3), '.b') +end +axis([0 118 -1 1.5]) +hold off +xlabel('t'); +ylabel('\partial y_H(t)/\partial y_{0,H}') +title('G_{y,33}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); +>>>>>>> 60ae785 (rename in White Cabbage and Predator Prey Filippov) %% Plot sensitivities parameters sensitivities_function_p = generateSensitivityFunction(datahandle, sol, 'FDstep', FDstep, 'calcGy', false, 'method', method, 'p_typ', parameters_ODE); t_sens = 0:0.1:118; +<<<<<<< HEAD ticid = tic; sensitivites = sensitivities_function_p(t_sens); toc(ticid); @@ -113,3 +242,125 @@ set(gca, 'GridAlpha', 0.15) end end +======= +sensitivites = sensitivities_function_p(t_sens); + +%% +figure(2) +subplot(3,3,1) +for i = 1:length(t_sens) + axis([0 118 0 0.02]) + plot(t_sens(i),sensitivites(i).Gp(1,1), '.b') + hold on +end +hold off +xlabel('t'); +ylabel('\partial y_L(t)/\partial a') +title('G_{p,11}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,2) +for i = 1:length(t_sens) + axis([0 118 -20 150]) + plot(t_sens(i),sensitivites(i).Gp(1,5), '.b') + hold on +end +hold off +xlabel('t'); +ylabel('\partial y_L(t)/\partial r_S') +title('G_{p,15}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,3) +for i = 1:length(t_sens) + axis([0 118 0 4000]) + plot(t_sens(i),sensitivites(i).Gp(1,6), '.b') + hold on +end +hold off +xlabel('t'); +ylabel('\partial y_L(t)/\partial r_H') +title('G_{p,16}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,4) +for i = 1:length(t_sens) + axis([0 118 0 0.02]) + plot(t_sens(i),sensitivites(i).Gp(2,1), '.b') + hold on +end +hold off +xlabel('t'); +ylabel('\partial y_S(t)/\partial a') +title('G_{p,21}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,5) +for i = 1:length(t_sens) + axis([0 118 -20 150]) + plot(t_sens(i),sensitivites(i).Gp(2,5), '.b') + hold on +end +hold off +xlabel('t'); +ylabel('\partial y_S(t)/\partial r_S') +title('G_{p,25}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,6) +for i = 1:length(t_sens) + axis([0 118 0 4000]) + plot(t_sens(i),sensitivites(i).Gp(2,6), '.b') + hold on +end +hold off +xlabel('t'); +ylabel('\partial y_S(t)/\partial r_H') +title('G_{p,26}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,7) +for i = 1:length(t_sens) + axis([0 118 0 0.02]) + plot(t_sens(i),sensitivites(i).Gp(3,1), '.b') + hold on +end +hold off +xlabel('t'); +ylabel('\partial y_H(t)/\partial a') +title('G_{p,31}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,8) +for i = 1:length(t_sens) + axis([0 118 -20 150]) + plot(t_sens(i),sensitivites(i).Gp(3,5), '.b') + hold on +end +hold off +xlabel('t'); +ylabel('\partial y_H(t)/\partial r_S') +title('G_{p,35}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); + +subplot(3,3,9) +for i = 1:length(t_sens) + axis([0 118 0 4000]) + plot(t_sens(i),sensitivites(i).Gp(3,6), '.b') + hold on +end +hold off +xlabel('t'); +ylabel('\partial y_H(t)/\partial r_H') +title('G_{p,36}(t; t_0)') +set(gca, 'FontSize', 22); +set(gca, 'Box', 'off'); +>>>>>>> 60ae785 (rename in White Cabbage and Predator Prey Filippov) diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m similarity index 75% rename from toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m rename to toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m index b481a0c6..840d5b7b 100644 --- a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m +++ b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m @@ -1,4 +1,8 @@ +<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m function dx = rhsPredatorPrey(~, x, p) +======== +function dx = rhsPredatorPrey3D(~, x, p) +>>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m % 2-Prey-1-Predatory Model % % Source: diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m deleted file mode 100644 index 8182770f..00000000 --- a/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m +++ /dev/null @@ -1,301 +0,0 @@ -%% Setup -% Time span -tspan = [0, 100]; - -% Integrator -intIfdiff = @ode45; -intOptions = odeset('reltol', 1e-5, 'abstol', 1e-12); -eulerStep = 1e-7; - -% Parameter values required for Shilnikov behavior in the paper (see RHS file). -m = 0.790; -r1 = 0.836; -e = 0.948; -q1 = 0.772; -aq = 0.660; -beta2 = 0.896; -% Some values changed for prettier plot (remains a Filippov system). -q2 = 1.500; % 1.084 (paper) -r2 = 0.300; % 0.126 (paper) -beta1 = 7.810; % 7.800 (Example plot in paper, but can be chosen arbitrarily, retaining Shilnikov behavior) -p = [r1, r2, beta1, beta2, q1, q2, m, e, aq]; - -% Initial values (used for plot in paper, but may be changed) -a = 0.286975; -x0 = [a; a; r1-r2]; - -% RHS function dx = f(t, x, p), must be implemented in separate file for IFDIFF. -rhs = @rhsPredatorPrey; - -% Plotting -plot_n = 10000; -plot_t = linspace(tspan(1), tspan(end), plot_n); - -nameIfdiff = sprintf('Ifdiff/%s', func2str(intIfdiff)); -nameEuler = sprintf('Euler/%.0e', eulerStep); -lwIfdiff = 3; -lwEuler = 3; -colorIfdiff = [0, 0.447, 0.741]; -colorEuler = [0.85, 0.325, 0.098]; -lsIfdiff = '-'; -lsEuler = '--'; - -% Sensitivity -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('rhsPredatorPrey', 'solver', intIfdiff, 'options', intOptions); - -solveODE(datahandle, tspan, x0, p); -disp("Compilation done..."); - -%% Solve with IFDIFF -datahandle = prepareDatahandleForIntegration(rhs, 'solver', intIfdiff, 'options', intOptions); -% Enable storing of convexification data -configNew = makeConfig(); -configNew.storeSlidingInfo = true; -configOld = makeConfig(configNew); -try - solIfdiff = solveODE(datahandle, tspan, x0, p); -catch MEa - makeConfig(configOld); - rethrow(ME); -end -makeConfig(configOld); - -%% Solve with Euler -[owndir, ~] = fileparts(mfilename('fullpath')); -if contains(owndir, 'Editor_') - [owndir, ~] = fileparts(matlab.desktop.editor.getActiveFilename); -end - -euler_prefix = sprintf('sol_euler_%.0e', eulerStep); -euler_vname = 'sol_euler'; -euler_fname = fullfile(owndir, [euler_prefix, '.mat']); - -solEuler = loadEulerOrCompute(euler_fname, euler_vname, rhs, tspan, x0, p, eulerStep); - - -%% Plot solution -windowTitleX = "3D Solution Trajectories"; -plot_x_ifdiff = deval(solIfdiff, plot_t); -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, 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); -sensFunVDE = generateSensitivityFunction(datahandle, solIfdiff, ... - 'method', 'VDE', ... - 'FDstep', FDstep, ... - 'calcGy', true, ... - 'calcGp', false); -sensVDE = sensFunVDE(plot_t); -G = arrayfun(@(s) s.Gy(:, wrt_y), sensVDE, 'UniformOutput', false); -plot_sens_ifdiff = [G{:}]; - - -%% Compute Sensitivity with Euler -euler_prefix_disturb = sprintf('%s_disturb_wrt_y%d', euler_prefix, wrt_y); -euler_fname_disturb = fullfile(owndir, [euler_prefix_disturb, '.mat']); - -x0_disturb = x0; -x0_disturb(wrt_y) = x0_disturb(wrt_y) + eulerDisturbH; -solEulerDisturb = loadEulerOrCompute(euler_fname_disturb, euler_vname, rhs, tspan, x0_disturb, p, eulerStep); -sensEuler = (solEulerDisturb.y - solEuler.y) / eulerDisturbH; -plot_sens_euler = interp1(solEuler.x, sensEuler', plot_t)'; - - -%% Plot Sensitivity -windowTitle = "Sensitivity and failiure modes of Euler nr. "; -for idx_y=1:3 - 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 - - -%% Plot alpha and switching function -data = datahandle.getData(); -t_alpha = data.sliding.convexification.t; -alpha = data.sliding.convexification.alpha; -ax = plotSwitchingFuncOrAlpha([], t_alpha, alpha, 'Alpha', 2, colorIfdiff, 'left', 'Alpha'); - -sw = solIfdiff.switchingFunction{1}; -sw_x = arrayfun(@(t) sw([], t, deval(solIfdiff, t), p), t_alpha); -plotSwitchingFuncOrAlpha(ax, t_alpha, sw_x, 'Switching Function', 2, colorEuler, 'right', 'Switching Function'); - -plotSwitches(ax, solIfdiff.switches) - - -%% 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, saveEvery); -fprintf('Saving result to %s for later reuse.\n', fname); -save(fname, vname); -end - -function plotSwitches(ax, switches) -xline(ax, switches, '--', 'LineWidth', 1.5, 'HandleVisibility', 'off'); -end - -function ax = plotSwitchingFuncOrAlpha(ax, t, x, name, lw, color, yyax, ylab) -if isempty(ax) - f = figure('Name', 'Alpha and Switching Function'); - ax = axes(f); -end -yyaxis(ax, yyax); -hold(ax, 'on'); -plot(ax, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color); -hold(ax, 'off'); -grid(ax, 'on'); -xlabel(ax, 't'); -ylabel(ax, ylab); -legend(ax, 'location', 'northeast'); - -yl = ylim(ax); -yl(1) = 0; -ylim(ax, yl); -end - -function ax = plotSens(ax, t, x, name, lw, color, ls, windowTitleX, zoomX, zoomY) -if isempty(ax) - 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'); -legend(ax, 'location', 'best'); - -% Zoomed plot -hold(axZoom, 'on'); -plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); -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, windowTitleX) -if isempty(ax) - f = figure('Name', windowTitleX); - ax = axes(f); -end -hold(ax, 'on'); -plot3(ax, x(3, :), x(2, :), x(1, :), 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); -hold(ax, 'off'); - -view(ax, [97 51]); -box(ax, 'on'); -grid(ax, 'on'); -xlabel(ax, 'Predator'); -ylabel(ax, 'Prey 2'); -zlabel(ax, 'Prey 1'); -legend(ax, 'location', 'northeast'); -end - -function sol = explEuler(rhs, tspan, x0, p, stepsize, saveEvery) -xdim = length(x0); -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); -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 -end -fprintf('\n'); -% Remove unused preallocated entries -X = X(:, 1:k-1); -T = T(1:k-1); - -sol.x = T; -sol.y = X; -end From d3a50a5b78f76dc5414ed51c259f9a85d7869a43 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 24 Aug 2026 14:03:40 +0200 Subject: [PATCH 40/43] Changed linestyle and thickness in sensitivity plot for pprEx --- .../predatorpreyFilippov/runPredatorPrey3D.m | 12 ------------ 1 file changed, 12 deletions(-) diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m index 96ad722b..eea2a0ee 100644 --- a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m +++ b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m @@ -47,11 +47,7 @@ %% 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)); -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m datahandle = prepareDatahandleForIntegration('rhsPredatorPrey', 'solver', intIfdiff, 'options', intOptions); -======== -datahandle = prepareDatahandleForIntegration('pprhs', 'solver', intIfdiff, 'options', intOptions); ->>>>>>>> c6b97c1 (Removed unecessary files for pull request):toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m solveODE(datahandle, tspan, x0, p); disp("Compilation done..."); @@ -239,19 +235,11 @@ function plotSwitches(ax, switches) grid(ax, 'on'); xlabel(ax, 'Time'); ylabel(ax, 'Sensitivity'); -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m legend(ax, 'location', 'best'); % Zoomed plot hold(axZoom, 'on'); plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw-1, 'Color', color); -======== -legend(ax, 'location', 'northeast'); - -% Zoomed plot -hold(axZoom, 'on'); -plot(axZoom, t, x, 'DisplayName', name, 'LineWidth', lw, 'Color', color, 'LineStyle', ls); ->>>>>>>> c6b97c1 (Removed unecessary files for pull request):toolbox/examples/predatorpreyFilippov/predatorPrey3D_bench.m hold(axZoom, 'off'); grid(axZoom, 'on'); xlabel(axZoom, 'Time'); From b18a160a48057af06e39ca8da4dc6fb09dea9f89 Mon Sep 17 00:00:00 2001 From: Marvin Date: Mon, 31 Aug 2026 18:26:30 +0200 Subject: [PATCH 41/43] Renamed files to fit new naming scheme by Pilar --- .../{rhsPredatorPrey3D.m => rhsPredatorPrey.m} | 4 ---- .../{runPredatorPrey3D.m => runPredatorPrey.m} | 0 2 files changed, 4 deletions(-) rename toolbox/examples/predatorpreyFilippov/{rhsPredatorPrey3D.m => rhsPredatorPrey.m} (75%) rename toolbox/examples/predatorpreyFilippov/{runPredatorPrey3D.m => runPredatorPrey.m} (100%) diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m similarity index 75% rename from toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m rename to toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m index 840d5b7b..b481a0c6 100644 --- a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m +++ b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m @@ -1,8 +1,4 @@ -<<<<<<<< HEAD:toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m function dx = rhsPredatorPrey(~, x, p) -======== -function dx = rhsPredatorPrey3D(~, x, p) ->>>>>>>> d6700f1 (rename in White Cabbage and Predator Prey Filippov):toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m % 2-Prey-1-Predatory Model % % Source: diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m similarity index 100% rename from toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m rename to toolbox/examples/predatorpreyFilippov/runPredatorPrey.m From 5946fa36193b6abc05cc9dadbd9a74c5f575fabb Mon Sep 17 00:00:00 2001 From: pilar Date: Thu, 28 May 2026 16:36:25 +0200 Subject: [PATCH 42/43] rename in White Cabbage and Predator Prey Filippov --- .../{rhsPredatorPrey.m => rhsPredatorPrey3D.m} | 0 .../{runPredatorPrey.m => runPredatorPrey3D.m} | 0 2 files changed, 0 insertions(+), 0 deletions(-) rename toolbox/examples/predatorpreyFilippov/{rhsPredatorPrey.m => rhsPredatorPrey3D.m} (100%) rename toolbox/examples/predatorpreyFilippov/{runPredatorPrey.m => runPredatorPrey3D.m} (100%) diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m similarity index 100% rename from toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m rename to toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m similarity index 100% rename from toolbox/examples/predatorpreyFilippov/runPredatorPrey.m rename to toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m From 96a438eb1d0767e427ae4136c5d0b4fd368552f9 Mon Sep 17 00:00:00 2001 From: pilar Date: Mon, 21 Sep 2026 17:50:01 +0200 Subject: [PATCH 43/43] Change in runPredatorPrey script --- .../{rhsPredatorPrey3D.m => rhsPredatorPrey.m} | 0 .../{runPredatorPrey3D.m => runPredatorPrey.m} | 0 2 files changed, 0 insertions(+), 0 deletions(-) rename toolbox/examples/predatorpreyFilippov/{rhsPredatorPrey3D.m => rhsPredatorPrey.m} (100%) rename toolbox/examples/predatorpreyFilippov/{runPredatorPrey3D.m => runPredatorPrey.m} (100%) diff --git a/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m similarity index 100% rename from toolbox/examples/predatorpreyFilippov/rhsPredatorPrey3D.m rename to toolbox/examples/predatorpreyFilippov/rhsPredatorPrey.m diff --git a/toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m b/toolbox/examples/predatorpreyFilippov/runPredatorPrey.m similarity index 100% rename from toolbox/examples/predatorpreyFilippov/runPredatorPrey3D.m rename to toolbox/examples/predatorpreyFilippov/runPredatorPrey.m