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Wed, Jun 25, 10:47
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diff --git a/labo/D3/TemplateTPII.pdf b/labo/D3/TemplateTPII.pdf
index 73ae622..914a13c 100644
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diff --git a/labo/D3/TemplateTPII.synctex.gz b/labo/D3/TemplateTPII.synctex.gz
deleted file mode 100644
index e9e5cf0..0000000
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diff --git a/physnum/rap7/Energy.m b/physnum/rap7/Energy.m
index caecf5a..d89b8bb 100644
--- a/physnum/rap7/Energy.m
+++ b/physnum/rap7/Energy.m
@@ -1,126 +1,126 @@
% Ce script Matlab automatise la production de resultats
% lorsqu'on doit faire une serie de simulations en
% variant un des parametres d'entree.
%
% Il utilise les arguments du programme (voir ConfigFile.h)
% pour remplacer la valeur d'un parametre du fichier d'input
% par la valeur scannee.
%
%% Parametres %%
%%%%%%%%%%%%%%%%
repertoire = './'; % Chemin d'acces au code compile (NB: enlever le ./ sous Windows)
executable = 'exercice7'; % Nom de l'executable (NB: ajouter .exe sous Windows)
input = 'configuration.in'; % Nom du fichier d'entree de base
out_mode = 2; % energy mode, do not change
L = 20;
tfin = 50; % plusieurs transits
% number of samples
-n = 1000;
+n = 200;
beta = 1;
u = 6;
-dt = 0.03;
+dt = 0.05;
dx = dt * u / beta;
-n_ohm = 1;
+n_ohm = 5;
centre = n_ohm * pi * u / L;
-variation = 0.5;
+variation = 4.5;
omega = linspace(centre-variation, centre+variation, n)';
b_left_type = 2;
b_right_type = 0;
% border follow
%b_right = '';
% border fixed
b_right = sprintf('%.15g', 0);
%% Simulations %%
%%%%%%%%%%%%%%%%%
output = cell(n, 1);
for i=1:n
output{i} = sprintf('m_outs/energy_om%.15g', omega(i));
b_left = sprintf('{%.15g, %.15g, %.15g}', 10, omega(i), 0);
cmd = sprintf('%s%s %s N=%d L=%.15g u=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d out_mode=%d output=%s', ...
repertoire, executable, input,...
floor(L/dx), L, u, ...
tfin, dt, ...
b_left, b_left_type, ...
b_right, b_right_type, ...
out_mode, output{i});
disp(cmd);
system(cmd);
end
%% Analyse %%
%%%%%%%%%%%%%
% pre-build f
E = zeros(n, 1);
range = 5;
for i=1:n
data = load(sprintf('%s.out', output{i}));
maxind = findmax(data(:,2));
if (maxind + range > length(data(:,2))) || (maxind <= range)
E(i) = data(maxind, 2);
else
fit = polyfit(data(maxind-range:maxind+range, 1),data(maxind-range:maxind+range, 2), 2);
E(i) = fit(3) - fit(2)^2 / (4*fit(1));
end
end
% fit max energy in frequency, resonance
maxind = findmax(E);
Efit = polyfit(omega(maxind-range:maxind+range), E(maxind-range:maxind+range), 2);
fprintf('Omega ref = %.15g\n', centre);
fprintf('Omega | E max = %.15g\n', - Efit(2) / (2*Efit(1)));
fprintf('E max = %.15g\n', Efit(3) - Efit(2)^2 / (4*Efit(1)));
%% PLOT %%
figure
grid on
xlabel('omega')
ylabel('Energy')
plot(omega, E, 'k+');
%% WRITE ON FILE %%
outfile = sprintf('outs/energy/n%.15g_var%.15g.dat', n_ohm, variation);
% print data on file
out = fopen(outfile, 'w');
fprintf(out, 'omega E\n');
for i = 1:n
fprintf(out, '%.15g %.15g\n', omega(i), E(i));
end
fclose(out);
%% UTILS %%
function ind = findmax(L)
m = -1e300;
for i=1:length(L)
if m < L(i)
m = L(i);
ind = i;
end
end
end
diff --git a/physnum/rap7/Energy.m~ b/physnum/rap7/Energy.m~
deleted file mode 100644
index 0a9318b..0000000
--- a/physnum/rap7/Energy.m~
+++ /dev/null
@@ -1,125 +0,0 @@
-% Ce script Matlab automatise la production de resultats
-% lorsqu'on doit faire une serie de simulations en
-% variant un des parametres d'entree.
-%
-% Il utilise les arguments du programme (voir ConfigFile.h)
-% pour remplacer la valeur d'un parametre du fichier d'input
-% par la valeur scannee.
-%
-
-%% Parametres %%
-%%%%%%%%%%%%%%%%
-
-repertoire = './'; % Chemin d'acces au code compile (NB: enlever le ./ sous Windows)
-executable = 'exercice7'; % Nom de l'executable (NB: ajouter .exe sous Windows)
-input = 'configuration.in'; % Nom du fichier d'entree de base
-out_mode = 2; % energy mode, do not change
-
-L = 20;
-tfin = 50; % plusieurs transits
-
-% number of samples
-n = 200;
-
-beta = 1;
-u = 6;
-dt = 0.05;
-dx = dt * u / beta;
-
-n_ohm = 3;
-centre = n_ohm * pi * u / L;
-variation = 0.5;
-
-omega = linspace(centre-variation, centre+variation, n)';
-
-b_left_type = 2;
-
-b_right_type = 0;
-
-% border follow
-%b_right = '';
-
-% border fixed
-b_right = sprintf('%.15g', 0);
-
-%% Simulations %%
-%%%%%%%%%%%%%%%%%
-
-output = cell(n, 1);
-
-for i=1:n
-
- output{i} = sprintf('m_outs/energy_om%.15g', omega(i));
-
- b_left = sprintf('{%.15g, %.15g, %.15g}', 10, omega(i), 0);
-
- cmd = sprintf('%s%s %s N=%d L=%.15g u=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d out_mode=%d output=%s', ...
- repertoire, executable, input,...
- floor(L/dx), L, u, ...
- tfin, dt, ...
- b_left, b_left_type, ...
- b_right, b_right_type, ...
- out_mode, output{i});
- disp(cmd);
- system(cmd);
-end
-
-%% Analyse %%
-%%%%%%%%%%%%%
-
-% pre-build f
-E = zeros(n, 1);
-range = 5;
-
-for i=1:n
- data = load(sprintf('%s.out', output{i}));
- maxind = findmax(data(:,2));
-
- if (maxind + range > length(data(:,2))) || (maxind <= range)
- E(i) = data(maxind, 2);
- else
- fit = polyfit(data(maxind-range:maxind+range, 1),data(maxind-range:maxind+range, 2), 2);
- E(i) = fit(3) - fit(2)^2 / (4*fit(1));
- end
-end
-
-% fit max energy in frequency, resonance
-
-maxind = findmax(E);
-Efit = polyfit(omega(maxind-range:maxind+range), E(maxind-range:maxind+range), 2);
-
-fprintf('Omega | E max = %.15g\n', - Efit(1) / (2*Efit(2)));
-fprintf('E max = %.15g\n', Efit(3) - Efit(2)^2 / (4*Efit(1)));
-
-%% PLOT %%
-
-figure
-grid on
-xlabel('omega')
-ylabel('Energy')
-plot(omega, E, 'k+');
-
-%% WRITE ON FILE %%
-
-outfile = sprintf('outs/energy_n%.15g_var%.15g.dat', );
-
-% print data on file
-out = fopen(outfile, 'w');
-fprintf(out, 'omega E\n');
-for i = 1:n
- fprintf(out, '%.15g %.15g\n', omega(i), E(i));
-end
-fclose(out);
-
-%% UTILS %%
-
-function ind = findmax(L)
- m = -1e300;
- for i=1:length(L)
- if m < L(i)
- m = L(i);
- ind = i;
- end
- end
-end
-
diff --git a/physnum/rap7/Graphics.m b/physnum/rap7/Graphics.m
index e2253c5..4b0417a 100644
--- a/physnum/rap7/Graphics.m
+++ b/physnum/rap7/Graphics.m
@@ -1,108 +1,127 @@
% Ce script Matlab automatise la production de resultats
% lorsqu'on doit faire une serie de simulations en
% variant un des parametres d'entree.
%
% Il utilise les arguments du programme (voir ConfigFile.h)
% pour remplacer la valeur d'un parametre du fichier d'input
% par la valeur scannee.
%
%% Parametres %%
%%%%%%%%%%%%%%%%
repertoire = './'; % Chemin d'acces au code compile (NB: enlever le ./ sous Windows)
executable = 'exercice7'; % Nom de l'executable (NB: ajouter .exe sous Windows)
input = 'configuration.in'; % Nom du fichier d'entree de base
-real_time = 1; % simulate on graphics
+real_time = 0; % simulate on graphics
+u_function = 1; % const u or ocean
-L = 20;
-tfin = 15;
+%L = 37.6991;
+L = 800000;
+%tfin = 70;
+tfin = 15*60*20;
beta = 1;
-u = 6;
-dt = 0.03;
+%u = 6;
+u = 280.14;
+%dt = 0.02;
+dt = 0.8;
+
+sampling = 5;
+
dx = dt * u / beta;
N = floor(L/dx);
b_left_type = 2;
-b_left = sprintf('{%.15g, %.15g, %.15g}', 10, 5, 0);
%b_left = sprintf('{%.15g, %.15g, %.15g}', 10, 5, 0);
+b_left = sprintf('{%.15g, %.15g, %.15g}', 10, 2*pi/(15*60), 0);
-b_right_type = 0;
+b_right_type = 3;
% border follow
-%b_right = '';
+b_right = '';
% border fixed
-b_right = sprintf('%.15g', 0);
+%b_right = sprintf('%.15g', 0);
output = 'm_outs/map';
%% Simulations %%
%%%%%%%%%%%%%%%%%
-cmd = sprintf('%s%s %s N=%d L=%.15g u=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d output=%s', ...
+cmd = sprintf('%s%s %s N=%d L=%.15g u=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d u_function=%d sampling=%d output=%s >& log', ...
repertoire, executable, input,...
N, L, u, ...
tfin, dt, ...
b_left, b_left_type, ...
b_right, b_right_type, ...
- output);
+ u_function, sampling, output);
disp(cmd);
system(cmd);
%% Analyse %%
%%%%%%%%%%%%%
-steps = floor(tfin/ dt);
+steps = floor(tfin/ dt / sampling);
limit = 30;
times = zeros(steps, 1);
f = zeros(steps, N+1);
% pre-build f
for step=0:(steps-1)
- data = load(sprintf('%s%d_step.out', output, step));
- f(step+1,:) = data(:,2);
- times(step+1) = dt * step;
+ data = load(sprintf('%s%d_step.out', output, step * sampling));
+ f(step+1,:) = data(:,1);
+ times(step+1) = dt * step * sampling;
end
-x = data(:,1);
+x = gen_space(L, dx);
%% REAL TIME %%
if (real_time)
% make animation
figure, hold on
grid on
xlabel('x')
ylabel('wave')
for step=0:(steps-1)
cla reset
data = load(sprintf('%s%d_step.out', output, step));
plot(data(:,1), data(:, 2))
ylim([-limit limit])
pause(0.015);
end
end
%% BOUND %%
figure
grid on
xlabel('t')
ylabel('bound')
plot(times, f(:,N+1))
%% PHASE %%
figure
pcolor(x, times, f)
shading flat
+
+%% UTILS %%
+
+function X = gen_space(L, dx)
+ N = floor(L/dx);
+ X = zeros(N+1, 0);
+
+ for i=0:N
+ X(i+1) = dx * i;
+ end
+end
diff --git a/physnum/rap7/Graphics.m b/physnum/rap7/Graphics.m~
similarity index 91%
copy from physnum/rap7/Graphics.m
copy to physnum/rap7/Graphics.m~
index e2253c5..6176f3e 100644
--- a/physnum/rap7/Graphics.m
+++ b/physnum/rap7/Graphics.m~
@@ -1,108 +1,110 @@
% Ce script Matlab automatise la production de resultats
% lorsqu'on doit faire une serie de simulations en
% variant un des parametres d'entree.
%
% Il utilise les arguments du programme (voir ConfigFile.h)
% pour remplacer la valeur d'un parametre du fichier d'input
% par la valeur scannee.
%
%% Parametres %%
%%%%%%%%%%%%%%%%
repertoire = './'; % Chemin d'acces au code compile (NB: enlever le ./ sous Windows)
executable = 'exercice7'; % Nom de l'executable (NB: ajouter .exe sous Windows)
input = 'configuration.in'; % Nom du fichier d'entree de base
real_time = 1; % simulate on graphics
+u_function = 0; % const u or ocean
-L = 20;
+%L = 20;
+L = 8000;
tfin = 15;
beta = 1;
u = 6;
dt = 0.03;
dx = dt * u / beta;
N = floor(L/dx);
b_left_type = 2;
b_left = sprintf('{%.15g, %.15g, %.15g}', 10, 5, 0);
%b_left = sprintf('{%.15g, %.15g, %.15g}', 10, 5, 0);
b_right_type = 0;
% border follow
%b_right = '';
% border fixed
b_right = sprintf('%.15g', 0);
output = 'm_outs/map';
%% Simulations %%
%%%%%%%%%%%%%%%%%
-cmd = sprintf('%s%s %s N=%d L=%.15g u=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d output=%s', ...
+cmd = sprintf('%s%s %s N=%d L=%.15g u=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d u_function=%d output=%s', ...
repertoire, executable, input,...
N, L, u, ...
tfin, dt, ...
b_left, b_left_type, ...
b_right, b_right_type, ...
- output);
+ u_function, output);
disp(cmd);
system(cmd);
%% Analyse %%
%%%%%%%%%%%%%
steps = floor(tfin/ dt);
limit = 30;
times = zeros(steps, 1);
f = zeros(steps, N+1);
% pre-build f
for step=0:(steps-1)
data = load(sprintf('%s%d_step.out', output, step));
f(step+1,:) = data(:,2);
times(step+1) = dt * step;
end
x = data(:,1);
%% REAL TIME %%
if (real_time)
% make animation
figure, hold on
grid on
xlabel('x')
ylabel('wave')
for step=0:(steps-1)
cla reset
data = load(sprintf('%s%d_step.out', output, step));
plot(data(:,1), data(:, 2))
ylim([-limit limit])
pause(0.015);
end
end
%% BOUND %%
figure
grid on
xlabel('t')
ylabel('bound')
plot(times, f(:,N+1))
%% PHASE %%
figure
pcolor(x, times, f)
shading flat
diff --git a/physnum/rap7/Vitesse.m b/physnum/rap7/Vitesse.m
index e12062c..e04849d 100644
--- a/physnum/rap7/Vitesse.m
+++ b/physnum/rap7/Vitesse.m
@@ -1,84 +1,143 @@
% Ce script Matlab automatise la production de resultats
% lorsqu'on doit faire une serie de simulations en
% variant un des parametres d'entree.
%
% Il utilise les arguments du programme (voir ConfigFile.h)
% pour remplacer la valeur d'un parametre du fichier d'input
% par la valeur scannee.
%
%% Parametres %%
%%%%%%%%%%%%%%%%
repertoire = './'; % Chemin d'acces au code compile (NB: enlever le ./ sous Windows)
executable = 'exercice7'; % Nom de l'executable (NB: ajouter .exe sous Windows)
input = 'configuration.in'; % Nom du fichier d'entree de base
L = 800000;
-tfin = 15*60*5;
-beta = 1;
-dt = 0.03;
-%dx = dt * u / beta;
-dx = 1;
+beta = 0.9;
+%u = 6;
+u = 280.14;
+dt = 1.2;
+
+sampling = 1;
+
+tfin = 10500;
+
+dx = dt * u / beta;
N = floor(L/dx);
b_left_type = 2;
-b_left = sprintf('{%.15g, %.15g, %.15g}', 1, 15*60, 0);
+b_left = sprintf('{%.15g, %.15g, %.15g}', 1, 2*pi/(15*60), 0);
%b_left = sprintf('{%.15g, %.15g, %.15g}', 10, 5, 0);
-b_right_type = 0;
+b_right_type = 3;
% border follow
b_right = '';
% border fixed
%b_right = sprintf('%.15g', 0);
-output = 'm_outs/vit';
+output = 'm_outs/map';
%% Simulations %%
%%%%%%%%%%%%%%%%%
-cmd = sprintf('%s%s %s N=%d L=%.15g u=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d u_function=%d output=%s', ...
+cmd = sprintf('%s%s %s N=%d L=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d u_function=%d sampling=%d output=%s', ...
repertoire, executable, input,...
- N, L, u, ...
+ N, L, ...
tfin, dt, ...
b_left, b_left_type, ...
b_right, b_right_type, ...
- 1, output);
+ 1, sampling, output);
disp(cmd);
system(cmd);
+%% Loading %%
-%% Data loading %%
-%%%%%%%%%%%%%
-
-steps = floor(tfin/ dt);
+steps = floor(tfin/ dt / sampling);
+limit = 30;
times = zeros(steps, 1);
f = zeros(steps, N+1);
% pre-build f
for step=0:(steps-1)
- data = load(sprintf('%s%d_step.out', output, step));
- f(step+1,:) = data(:,2);
- times(step+1) = dt * step;
+ data = load(sprintf('%s%d_step.out', output, step * sampling));
+ f(step+1,:) = data(:,1);
+ times(step+1) = dt * sampling * step;
end
-x = data(:,1);
+x = gen_space(L, dx);
-%% Analyse %%
+%% Data processing %%
+%%%%%%%%%%%%%
-u = zeros(N, 0);
-j = 1; % space step
+t = zeros(N+1, 0);
-for step=1:steps % time loop
-
+fitlim = 11;
+
+% loop on discretization
+for i=1:(N+1)
+ ind = first_pk(i, f);
+ fit = polyfit(times(ind-fitlim:ind+fitlim), f(ind-fitlim:ind+fitlim, i), 2);
+ t(i) = - fit(2) / (2*fit(1));
end
-%% Utils %%
+s = 8;
+
+u = zeros(N-s, 0);
+xmid = zeros(N-s, 0);
+
+% derivative
+for i=(1+s):(N-s)
+ u(i-s) = (x(i+s) - x(i-s))/(t(i+s) - t(i-s));
+ xmid(i-s) = x(i); %+ (x(i+1) - x(i)) / 2;
+end
+%% PLOT %%
+figure
+grid on
+xlabel('x')
+ylabel('u')
+plot(xmid, u)
+
+%% WRITE ON FILE %%
+
+outfile = 'outs/vitesse.dat';
+
+% print data on file
+out = fopen(outfile, 'w');
+fprintf(out, 'x u\n');
+for i = 1:N
+ fprintf(out, '%.15g %.15g\n', xmid(i), u(i));
+end
+fclose(out);
+
+%% UTILS %%
+
+function X = gen_space(L, dx)
+ N = floor(L/dx);
+ X = zeros(N+1);
+
+ for i=0:N
+ X(i+1) = dx * i;
+ end
+end
+
+function ind = first_pk(index, f)
+ z = smoothdata(f(:,index));
+ [~, p] = findpeaks(z);
+
+ if (~isempty(p))
+ ind = p(2);
+ else
+ disp("Error: first_pk, peaks not found");
+ ind = -1;
+ end
+end
diff --git a/physnum/rap7/Vitesse.m~ b/physnum/rap7/Vitesse.m~
index 2cd737e..f8c652a 100644
--- a/physnum/rap7/Vitesse.m~
+++ b/physnum/rap7/Vitesse.m~
@@ -1,72 +1,141 @@
% Ce script Matlab automatise la production de resultats
% lorsqu'on doit faire une serie de simulations en
% variant un des parametres d'entree.
%
% Il utilise les arguments du programme (voir ConfigFile.h)
% pour remplacer la valeur d'un parametre du fichier d'input
% par la valeur scannee.
%
%% Parametres %%
%%%%%%%%%%%%%%%%
repertoire = './'; % Chemin d'acces au code compile (NB: enlever le ./ sous Windows)
executable = 'exercice7'; % Nom de l'executable (NB: ajouter .exe sous Windows)
input = 'configuration.in'; % Nom du fichier d'entree de base
L = 800000;
-tfin = 15*60*5;
beta = 1;
+%u = 6;
+u = 280.14;
+dt = 0.8;
+
+sampling = 2;
+
+tfin = 10009;
-dt = 0.03;
dx = dt * u / beta;
N = floor(L/dx);
b_left_type = 2;
-b_left = sprintf('{%.15g, %.15g, %.15g}', 1, 15*60, 0);
+b_left = sprintf('{%.15g, %.15g, %.15g}', 1, 2*pi/(15*60), 0);
%b_left = sprintf('{%.15g, %.15g, %.15g}', 10, 5, 0);
-b_right_type = 0;
+b_right_type = 3;
% border follow
b_right = '';
% border fixed
%b_right = sprintf('%.15g', 0);
output = 'm_outs/map';
%% Simulations %%
%%%%%%%%%%%%%%%%%
-cmd = sprintf('%s%s %s N=%d L=%.15g u=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d u_function=%d output=%s', ...
+cmd = sprintf('%s%s %s N=%d L=%.15g t=%.15g dt=%.15g "b_left=%s" b_left_type=%d "b_right=%s" b_right_type=%d u_function=%d sampling=%d output=%s', ...
repertoire, executable, input,...
- N, L, u, ...
+ N, L, ...
tfin, dt, ...
b_left, b_left_type, ...
b_right, b_right_type, ...
- 1, output);
+ 1, sampling, output);
disp(cmd);
system(cmd);
+%% Loading %%
-%% Analyse %%
-%%%%%%%%%%%%%
-
-steps = floor(tfin/ dt);
+steps = floor(tfin/ dt / sampling);
limit = 30;
times = zeros(steps, 1);
f = zeros(steps, N+1);
% pre-build f
for step=0:(steps-1)
- data = load(sprintf('%s%d_step.out', output, step));
- f(step+1,:) = data(:,2);
- times(step+1) = dt * step;
+ data = load(sprintf('%s%d_step.out', output, step * sampling));
+ f(step+1,:) = data(:,1);
+ times(step+1) = dt * sampling * step;
+end
+
+x = gen_space(L, dx);
+
+%% Data processing %%
+%%%%%%%%%%%%%
+
+t = zeros(N+1, 0);
+
+fitlim = 11;
+
+% loop on discretization
+for i=1:(N+1)
+ ind = first_pk(i, f);
+ fit = polyfit(times(ind-fitlim:ind+fitlim), f(ind-fitlim:ind+fitlim, i), 2);
+ t(i) = - fit(2) / (2*fit(1));
+end
+
+u = zeros(N-1, 0);
+xmid = zeros(N-1, 0);
+
+% derivative
+for i=3:(N-1)
+ u(i-2) = (x(i+2) - x(i-2))/(t(i+2) - t(i-2));
+ xmid(i-2) = x(i); %x(i) + (x(i+1) - x(i)) / 2;
+end
+
+%% PLOT %%
+
+figure
+grid on
+xlabel('x')
+ylabel('u')
+plot(xmid, u)
+
+%% WRITE ON FILE %%
+
+outfile = 'outs/vitesse.dat';
+
+% print data on file
+out = fopen(outfile, 'w');
+fprintf(out, 'x u\n');
+for i = 1:N
+ fprintf(out, '%.15g %.15g\n', xmid(i), u(i));
+end
+fclose(out);
+
+%% UTILS %%
+
+function X = gen_space(L, dx)
+ N = floor(L/dx);
+ X = zeros(N+1);
+
+ for i=0:N
+ X(i+1) = dx * i;
+ end
end
-x = data(:,1);
+function ind = first_pk(index, f)
+
+ [~, p] = findpeaks(f(:,index));
+
+ if (~isempty(p))
+ ind = p(2);
+ else
+ disp("Error: first_pk, peaks not found");
+ ind = -1;
+ end
+end
diff --git a/physnum/rap7/bin/exercice7.o b/physnum/rap7/bin/exercice7.o
index 1cd64e7..dca34e7 100644
Binary files a/physnum/rap7/bin/exercice7.o and b/physnum/rap7/bin/exercice7.o differ
diff --git a/physnum/rap7/bin/wave.o b/physnum/rap7/bin/wave.o
index 4aa9646..cd9b91b 100644
Binary files a/physnum/rap7/bin/wave.o and b/physnum/rap7/bin/wave.o differ
diff --git a/physnum/rap7/configuration.in b/physnum/rap7/configuration.in
index cbb85b7..5603d87 100644
--- a/physnum/rap7/configuration.in
+++ b/physnum/rap7/configuration.in
@@ -1,72 +1,74 @@
t = 10
dt = 0.1
L = 8e5
N = 10
%
% scheme values:
% A = 0 (d'Alembert)
% B = 1
% C = 2
scheme = 0
%
% u parameters
%
% u_function values:
% constant = 0
% ocean = 1
%
u = 1
u_function = 0
%
% ocean case
g = 9.81
h_ocean = 8000
h_recif = 20
xlim = (2e5, 3.7e5, 4.3e5, 6e5)
%
%
% boundary b_mode values:
% fixed = 0,
% free = 1,
% harmonic = 2,
% follow = 3
%
b_left_type = 2
b_right_type = 0
%
% Syntax for all boundary types:
%
% fixed: b = <Amplitude>
% free: b = % leave it empty
% harmonic: b = {<Amplitude>, <Omega>, <Phi>}
% follow: b = % leave it empty
%
b_left = {5, 5, 0}
b_right = 0
%
%
% initial conditions
%
% i_mode values:
% sleep = 0,
% progressive = 1,
% regressive = 2
%
i_mode = 0
%
% i_function values
% zero = 0
%
i_function = 0
%
% output settings
%
output = try
%
% out_mode values: map = 0, energy = 1,
%
out_mode = 0
%
target = 0
%
verbose = false
+%
+sampling = 1
diff --git a/physnum/rap7/exercice7 b/physnum/rap7/exercice7
index 0dca69e..f6d8635 100755
Binary files a/physnum/rap7/exercice7 and b/physnum/rap7/exercice7 differ
diff --git a/physnum/rap7/log b/physnum/rap7/log
new file mode 100644
index 0000000..459d8a0
--- /dev/null
+++ b/physnum/rap7/log
@@ -0,0 +1,27 @@
+ verbose=0
+ t=18000
+ dt=0.5
+ L=800000
+ N=5711
+ sampling=5
+ u=280.14
+ g=9.81
+ h_ocean=8000
+ h_recif=20
+ xlim=(200000, 370000, 430000)
+ output=m_outs/map
+ out_mode=0
+ target=0
+ scheme=0
+ u_function=1
+ b_left_type=2
+ b_right_type=3
+ b_left=Harmonic boundary: {10,0.00698131700798,0}
+ b_right=Following boundary, the most realistic one, ammirate!
+ i_mode=0
+ i_function=0
+[exercice7.cpp:163, Symulation] 200000
+[exercice7.cpp:163, Symulation] 370000
+[exercice7.cpp:163, Symulation] 430000
+[exercice7.cpp:163, Symulation] 600000
+[wave.cpp:28, wave_system] Printing u(x)
diff --git a/physnum/rap7/outs/energy/ampio.dat b/physnum/rap7/outs/energy/ampio.dat
new file mode 100644
index 0000000..f2faa8d
--- /dev/null
+++ b/physnum/rap7/outs/energy/ampio.dat
@@ -0,0 +1,201 @@
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diff --git a/physnum/rap7/outs/energy/ampiox10.dat b/physnum/rap7/outs/energy/ampiox10.dat
new file mode 100644
index 0000000..eed6f94
--- /dev/null
+++ b/physnum/rap7/outs/energy/ampiox10.dat
@@ -0,0 +1,201 @@
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diff --git a/physnum/rap7/outs/general.dat b/physnum/rap7/outs/general.dat
index f224ac1..91ea835 100644
--- a/physnum/rap7/outs/general.dat
+++ b/physnum/rap7/outs/general.dat
@@ -1,23 +1,27 @@
% Illustration map
dt = 0.005
beta = 1
tfin = 15
L = 20
+% Bounce wave-length study
+L = 3.765 * n (phase 0)
+L = 3.765 * (n + 0.5)
+
% Convergence test x = 5, tfin = 1.5
conv5m value: -1.9020, A = 10
% Energy, n = 1
Omega ref = 0.942477796076938
Omega | E max = 0.943254609924714
E max = 224470.734123498
% Energy, n = 3
Omega ref = 2.82743338823081
Omega | E max = 2.82824734806316
E max = 224908.047060013
% Energy, n = 6
Omega ref = 5.65486677646163
Omega | E max = 5.6564689322422
E max = 224857.27575779
diff --git a/physnum/rap7/outs/map/L_15.eps b/physnum/rap7/outs/map/L_15.eps
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+ /FontMatrix get 0 get /Ts exch def /FontInfo get dup
+ /UnderlinePosition get Ts mul /To exch def
+ /UnderlineThickness get Ts mul /Tt exch def
+ ux uy To add moveto Tcx uy To add lineto
+ Tt setlinewidth stroke
+ grestore
+} bd
+/OLE {
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+ gsave
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+ /UnderlinePosition get Ts mul /To exch def
+ /UnderlineThickness get Ts mul /Tt exch def
+ ux uy To add cs add moveto Tcx uy To add cs add lineto
+ Tt setlinewidth stroke
+ grestore
+} bd
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+ cf findfont cs scalefont dup
+ /FontMatrix get 0 get /Ts exch def /FontInfo get dup
+ /UnderlinePosition get Ts mul /To exch def
+ /UnderlineThickness get Ts mul /Tt exch def
+ ux uy To add cs 10 mul 26 idiv add moveto Tcx uy To add cs 10 mul 26 idiv add lineto
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+ grestore
+} bd
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+} bd
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+} for
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+} {
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+} ifelse
+} if
+} ifelse
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+} if
+} if
+} if
+} forall
+d length 0 gt {
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+} bd
+/RE { % /NewFontName [NewEncodingArray] /FontName RE -
+ findfont dup length dict begin
+ {
+ 1 index /FID ne
+ {def} {pop pop} ifelse
+ } forall
+ /Encoding exch def
+ /FontName 1 index def
+ currentdict definefont pop
+ end
+} bind def
+%%EndResource
+%%BeginResource: procset (Apache XML Graphics EPS ProcSet) 1.0 0
+%%Version: 1.0 0
+%%Copyright: (Copyright 2002-2003 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0)
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+1 setlinewidth 0 setlinejoin
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+/languagelevel where % If level not equal to 1 then
+{pop languagelevel % set strokeadjust and
+1 ne % overprint to their defaults.
+{false setstrokeadjust false setoverprint
+} if
+} if
+} bd
+/EndEPSF { %def
+count op_count sub {pop} repeat % Clean up stacks
+countdictstack dict_count sub {end} repeat
+b4_Inc_state restore
+} bd
+%%EndResource
+%%EndProlog
+%%Page: 1 1
+%%PageBoundingBox: 0 0 1022 506
+%%BeginPageSetup
+[1 0 0 -1 0 506] CT
+%%EndPageSetup
+GS
+[0.75 0 0 0.75 0 0.5] CT
+1 GC
+N
+0 0 1362 674 re
+f
+GR
+GS
+[0.48003 0 0 0.48006 0 182.44161] CT
+[1 0 0 1 0 0] CT
+N
+0 -379 M
+2128 -379 L
+2128 674 L
+0 674 L
+0 -379 L
+cp
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+GS
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+{{
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+<<
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+ /Decode [0 1 0 1 0 1]
+ /DataSource Data
+ /Height 674
+ /ImageMatrix [1362 0 0 674 0 0]
+ /Width 1362
+ /BitsPerComponent 8
+>> image
+} stopped {handleerror} if
+ RawData flushfile
+} exec
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+} {
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+} if
+} for
+} {
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+} {
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+} if
+} forall
+} {
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+} ifelse
+} ifelse
+} if
+} ifelse
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+} if
+} if
+} forall
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+ {
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+ /Encoding exch def
+ /FontName 1 index def
+ currentdict definefont pop
+ end
+} bind def
+%%EndResource
+%%BeginResource: procset (Apache XML Graphics EPS ProcSet) 1.0 0
+%%Version: 1.0 0
+%%Copyright: (Copyright 2002-2003 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0)
+/BeginEPSF { %def
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+userdict begin % Push userdict on dict stack
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+1 setlinewidth 0 setlinejoin
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+1 ne % overprint to their defaults.
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+} if
+} if
+} bd
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+countdictstack dict_count sub {end} repeat
+b4_Inc_state restore
+} bd
+%%EndResource
+%%EndProlog
+%%Page: 1 1
+%%PageBoundingBox: 0 0 1022 506
+%%BeginPageSetup
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+%%EndPageSetup
+GS
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+1 GC
+N
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+f
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+[1 0 0 1 0 0] CT
+N
+0 -379 M
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+0 674 L
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+<<
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+ /Height 674
+ /ImageMatrix [1362 0 0 674 0 0]
+ /Width 1362
+ /BitsPerComponent 8
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+} stopped {handleerror} if
+ RawData flushfile
+} exec
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diff --git a/physnum/rap7/src/exercice7.cpp b/physnum/rap7/src/exercice7.cpp
index 6b31e23..06ae611 100644
--- a/physnum/rap7/src/exercice7.cpp
+++ b/physnum/rap7/src/exercice7.cpp
@@ -1,290 +1,309 @@
#include <iostream>
#include <string>
#include <cmath>
#include <vector>
#include <fstream>
#include "ConfigFile.tpp"
#include "debug.hpp"
#include "vecNext.h"
#include "wave.h"
using namespace std;
// constants, defined in main
class Symulation
{
// symulation and output setup
ofstream output;
bool verbose;
const double tfin; // total time
const double dt;
const double L; // total length
const int N; // number of intervals
+ const int sampling; // sampling points
+
// u
const double u_value;
// gravity for ocean case
const double g;
const double h_ocean;
const double h_recif;
const SVector<double, 4> xlim; // a, b, c, d
// wave system emulator wrapper
wave_system * sys;
// enumerators
enum class u_func : int
{
constant = 0,
ocean = 1
};
enum class i_func : int
{
zero = 0
};
enum class outmode : int
{
map = 0,
target = 1,
energy = 2
};
string outstr;
outmode outm;
int target_point;
public:
Symulation(ConfigFile& config)
: verbose(config.get<bool>("verbose")),
tfin(config.get<double>("t")),
dt(config.get<double>("dt")),
L(config.get<double>("L")),
N(config.get<int>("N")),
+ sampling(config.get<int>("sampling")),
u_value(config.get<double>("u")),
g(config.get<double>("g")),
h_ocean(config.get<double>("h_ocean")),
h_recif(config.get<double>("h_recif")),
xlim(config.get<SVector<double, 4>>("xlim")),
sys(NULL),
outstr(config.get<std::string>("output")),
outm((outmode) config.get<int>("out_mode")),
target_point(config.get<double>("target") * N / L)
{
if (outm != outmode::map)
{
output.open(outstr + ".out", ios::out);
if (output.fail())
throw "Cannot open output file";
}
// set output precision
output << std::setprecision(15);
if (verbose)
cout << std::setprecision(15);
// equation setup
wave_system::scheme scheme = (wave_system::scheme) config.get<int>("scheme");
// u determination setup
u_func um = (u_func) config.get<int>("u_function");
std::function<double(double)> u;
+ //double (*u)(double) = 0;
switch(um)
{
case u_func::constant:
u = [&](double) { return u_value; };
break;
case u_func::ocean:
- u = [&](double x) { return sqrt(g * h(x)); };
+ u = [&](double x) {
+ //npdebug("Height: ", h(x))
+ //npdebug("Gravity: ", g)
+ //npdebug("Sqrt: ", sqrt(g * h(x)))
+ return sqrt(g * h(x));
+ };
break;
}
// boundary conditions setup
bound_t b_left_type = (bound_t) config.get<int>("b_left_type");
bound_t b_right_type = (bound_t) config.get<int>("b_right_type");
bound::boundary *b_left = init_bounds(config, b_left_type, "b_left"),
*b_right = init_bounds(config, b_right_type, "b_right");
// initial conditions setup
init_t i_mode = (init_t) config.get<int>("i_mode");
i_func init_f = (i_func) config.get<int>("i_function");
std::function<double(double)> init;
switch(init_f)
{
case i_func::zero:
- init = [&](double x) { return 0; };
+ init = std::function<double(double)>([&](double x) { return 0; });
break;
}
// finally create system object
/*npdebug("dx value: ", L/N)
npdebug("dt value: ", dt)
npdebug("N value: ", N)
npdebug("Scheme value: ", (int)scheme)
npdebug("b_left value: ", b_left)
npdebug("b_right value: ", b_right)
npdebug("i_mode value: ", (int)i_mode)*/
- npdebug(target_point * L / N);
+ //npdebug(target_point * L / N);
+ for (int i = 0; i < 4; ++i)
+ {
+ npdebug(xlim[i])
+ }
sys = new wave_system(L/N, dt, N-1, scheme, u, b_left, b_right, i_mode, init);
}
~Symulation()
{
delete sys;
if (outm != outmode::map)
output.close();
}
/*
* Loading boundary conditions helper function
*/
inline bound::boundary * init_bounds(ConfigFile& config, bound_t type, const char *id)
{
bound::boundary * b = NULL;
switch(type)
{
case bound_t::fixed:
b = new bound::fixed(config.get<bound::fixed>(id));
break;
case bound_t::free:
b = new bound::free(config.get<bound::free>(id));
break;
case bound_t::harmonic:
b = new bound::harmonic(config.get<bound::harmonic>(id));
break;
case bound_t::follow:
b = new bound::follow(config.get<bound::follow>(id));
break;
}
return b;
}
/*
* high of the ocean
*/
- inline double h(double x) const
+ virtual double h(double x) const
{
+ //npdebug(x, " ", xlim[0], " ", xlim[1], " ", xlim[2], " ", xlim[3], " ", h_recif, " ", h_ocean);
+
if (x <= xlim[0])
return h_ocean;
else if (x <= xlim[1])
- return h_ocean + (h_recif - h_ocean) * pow(sin(0.5 * M_PI * (x - xlim[0])/(xlim[1] - xlim[0])), 2);
+ return h_ocean + (h_recif - h_ocean) * pow(sin(0.5 * M_PI * (x - xlim[0])/(xlim[1] - xlim[0])) ,2);
else if (x <= xlim[2])
return h_recif;
else if (x <= xlim[3])
- return h_recif + (h_recif - h_ocean) * pow(sin(0.5 * M_PI * (xlim[2] - x)/(xlim[2] - xlim[3])), 2);
+ return h_recif - (h_recif - h_ocean) * pow(sin(0.5 * M_PI * (xlim[2] - x)/(xlim[2] - xlim[3])),2);
else
return h_ocean;
}
/*
* Init function set
*/
// TODO other possibilities
// Helper functions
template<class T>
inline void write_arg(const T& value)
{
output << value << " ";
if (verbose)
cout << value << " ";
}
template<class ...Args>
inline void write(const Args& ...args)
{
(write_arg(args), ...);
output << endl;
if (verbose)
cout << endl;
}
inline void print_map()
{
- wave_system::xmap mp(*sys);
+ //wave_system::xmap mp(*sys);
for (int i = 0; i < N+1; i++)
- write(mp[i], sys->at()[i]);
+ //write(mp[i], sys->at()[i]);
+ write(sys->at()[i]);
}
// symulation execution
int exec()
{
size_t n(0);
while(sys->time() <= tfin || abs(sys->time() - tfin) < 1e-12)
{
- switch(outm)
- {
- case outmode::map:
- output.open(outstr + std::to_string(n++) + "_step.out", ios::out);
- print_map();
- output.close();
- break;
-
- case outmode::target:
- write(sys->time(), sys->at()[target_point], sys->at()[target_point+1]);
- break;
-
- case outmode::energy:
- write(sys->time(), sys->energy());
- break;
+ if (n % sampling == 0) {
+ switch(outm)
+ {
+ case outmode::map:
+ output.open(outstr + std::to_string(n) + "_step.out", ios::out);
+ print_map();
+ output.close();
+ break;
+
+ case outmode::target:
+ write(sys->time(), sys->at()[target_point], sys->at()[target_point+1]);
+ break;
+
+ case outmode::energy:
+ write(sys->time(), sys->energy());
+ break;
+ }
}
+ ++n;
sys->step();
}
return 0;
}
};
int main(int argc, char* argv[])
{
string inputPath("configuration.in"); // Fichier d'input par defaut
if(argc>1) // Fichier d'input specifie par l'utilisateur ("./Exercice5 config_perso.in")
inputPath = argv[1];
ConfigFile configFile(inputPath); // Les parametres sont lus et stockes dans une "map" de strings.
for(int i(2); i<argc; ++i) // Input complementaires ("./Exercice5 config_perso.in input_scan=[valeur]")
configFile.process(argv[i]);
Symulation s(configFile);
return s.exec();
}
diff --git a/physnum/rap7/src/wave.cpp b/physnum/rap7/src/wave.cpp
index b7de2f8..9f011d5 100644
--- a/physnum/rap7/src/wave.cpp
+++ b/physnum/rap7/src/wave.cpp
@@ -1,149 +1,154 @@
#include "wave.h"
#include <cmath>
#include <string>
#include "findiff.h"
#include "vecNext.h"
#include "debug.hpp"
wave_system::wave_system(
const double& _dx,
const double& _dt,
const std::size_t& _N,
scheme s,
const std::function<double(double)>& _u,
bound::boundary * _left,
bound::boundary * _right,
init_t itype,
const std::function<double(double)>& init)
: dx(_dx), dt(_dt), N(_N), t(0), u(N+2),
f({map(N+2), map(N+2)}), b_left(_left), b_right(_right), M(N+2)
{
/*
* Initial conditions setup
*/
+ npdebug("Printing u(x)")
+
// setup of u
for (int k = 0; k <= N+1; ++k)
+ {
u[k] = _u(k * dx);
+ //npdebug("x = ", k * dx, ", u = ", u[k])
+ }
// setup of f
// f_-1
for (int k = 1; k <= N; ++k)
{
double m(0);
switch(itype)
{
case init_t::sleep:
break;
case init_t::progressive:
m = - u[k]; // TODO sign inversion?
break;
case init_t::regressive:
m = u[k]; // TODO sign inversion?
break;
}
f[0][k] = init(k * dx + m * dt);
}
// set boundary conditions on both vectors
f[0][0] = f[1][0] = b_left->get(*this, true); // left
f[0][N+1] = f[1][N+1] = b_right->get(*this, false); // right
// f_0
for (int k = 1; k <= N; ++k)
f[1][k] = init(k * dx);
// building M matrix
M[0][0] = 0;
M[0][1] = 0;
switch(s)
{
case scheme::A:
scheme_A();
break;
case scheme::B:
scheme_B();
break;
case scheme::C:
scheme_C();
break;
}
M[N+1][N] = 0;
M[N+1][N+1] = 0;
}
double wave_system::energy() const
{
double E;
xmap xmp(*this);
for (int i = 0; i < N+2; i++)
{
E += findiff::trapezium(i, xmp, [&](double x, bool){
return pow(f[1][(int)(x/dx)], 2); // square of f
}, 0.5); // mixed trapezium rule
}
return E;
}
void wave_system::scheme_A()
{
for (int k = 1; k < N+1; ++k)
{
double b = pow(u[k] * dt / dx, 2);
M[k][k-1] = M[k][k+1] = b;
M[k][k] = 2 * (1 - b);
}
}
void wave_system::scheme_B()
{
for (int k = 1; k < N+1; ++k)
{
double b = pow(dt / dx, 2);
M[k][k-1] = u[k] * b * (u[k] - (u[k+1] - u[k-1])/2);
M[k][k+1] = u[k] * b * (u[k] + (u[k+1] - u[k-1])/2);
M[k][k] = 2 * (1 - pow(u[k], 2) * b);
}
}
void wave_system::scheme_C()
{
for (int k = 1; k < N+1; ++k)
{
double b = pow(dt / dx, 2);
M[k][k-1] = u[k] * b * (u[k] - (u[k+1] - u[k-1]));
M[k][k+1] = u[k] * b * (u[k] + (u[k+1] - u[k-1]));
M[k][k] = 2 * (1 - b * (u[k] * (u[k+1] - 3*u[k] + u[k-1]) + pow(u[k+1] - u[k-1], 2)/4));
}
}
void wave_system::step()
{
// first, evolve the system, obtain M
map old = f[1];
f[1] = M * old - f[0]; // f_n+1
f[0] = old;
// apply boundary conditions for the new step
f[1][0] = b_left->get(*this, true);
f[1][N+1] = b_right->get(*this, false);
// increase time counter
t += dt;
}

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