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- function plot3dFun(fun, x_lim, y_lim, size, plot_title, filename)
- % 3D plots a function
- % fun: The function to plot
- % x_lim: The range for x axis. ex: [-2, 2]
- % y_lim: The range for y axis. ex: [0, 2]
- % size: The number of points for each axis
- % plot_title: The latex title for the plot
- %
-
- global image_width,
- global image_height;
-
- % Generate a grid for x and y
- x_space = linspace(x_lim(1), x_lim(2), size);
- y_space = linspace(y_lim(1), y_lim(2), size);
- [X, Y] = meshgrid(x_space, y_space);
-
- % Evaluate the function on the grid
- for i = 1:size
- for j = 1:size
- % Pass each [x1; x2] as input to fun
- Z(i, j) = fun([X(i, j); Y(i, j)]);
- end
- end
-
- % 3D plot
- figure('Name', 'f(x,y)', 'NumberTitle', 'off');
- set(gcf, 'Position', [100, 100, image_width, image_height]); % Set the figure size
- surf(X, Y, Z);
-
- % Customize the plot
- xlabel('x1'); % Label for x-axis
- ylabel('x2'); % Label for y-axis
- zlabel('f(x, y)'); % Label for z-axis
- title(plot_title, 'Interpreter', 'latex', 'FontSize', 16); % Title of the plot
- colorbar;
-
- % save the figure
- if strcmp(filename, '') == 0
- print(gcf, filename, '-dpng', '-r300');
- end
- end
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