1 简介
该代码实现任意函数的动态显示功能，直接复制即可运行。
2 完整代码
function plot_gui
% Plot gui 3d
% -----------
%
% Write f(x,y) or f(x,y,t)
% Press 'plot' button to plot
%
% Examples
% --------
%
% x
% y
% x*y
% sin(x)
% sin(x+t)
%
% Keyboard
% --------
%
% e i
% s d f g h j k l
%
% e,d: Move forward or backward
% s,f: Move left or right
% g,h: Move up or down
%
% j,l: Turn left or right
% i,k: Turn up or down
%
% Enter: Pause t
%
% Options
% -------
%
% Variable Description
%
% xlims Surface [x min, x max]
% ylims Surface [y min, y max]
% density Surface pts across each axes
%
% color Surface color [red, green, blue]
% alpha Surface transparency
% lineplt Surface show lines (T) or surface (F)
%
% t0 Start time
% dt Time-step
% T End time
%
% move_v Camera move speed
% turn_v Camera turn speed
% pause_t Pause time for each update
% ------------------- Gui Layout ------------------------
% Figure Window and Callbacks
fig = figure( ...
'color', 'white', ...
'menubar', 'none', ...
'name', 'plot gui', ...
'numbertitle', 'off', ...
'interruptible', 'on', ...
'windowkeypressfcn', @key_down, ...
'windowkeyreleasefcn', @key_up, ...
'closerequestfcn', @close_fcn);
% Visible Gui Elements
top_panel = annotation('rectangle', ...
'units', 'normalized', ...
'position', [0, .9, 1, .1], ...
'facecolor', [.2, .2, .2]);
options_btn = uicontrol( 'style', 'pushbutton', ...
'units', 'normalized', ...
'position', [.01, .91, .13, .08], ...
'backgroundcolor', [.3,.3,.3], ...
'foregroundcolor', [1 1 1], ...
'fontsize', 12, ...
'fontweight', 'bold',...
'fontname', 'arial', ...
'string', 'options', ...
'callback', @options_on_off);
plot_btn = uicontrol( 'style', 'pushbutton', ...
'units', 'normalized', ...
'position', [.15, .91, .09, .08], ...
'backgroundcolor', [.2 .3 .4], ...
'foregroundcolor', [1 1 1], ...
'fontsize', 12, ...
'fontweight', 'bold',...
'fontname', 'arial', ...
'string', 'plot', ...
'callback', @plot_init);
fn_textedit = uicontrol( 'style', 'edit', ...
'units', 'normalized', ...
'position', [0.25, 0.91, 0.55, 0.08], ...
'fontsize', 14, ...
'string', 'cos(2*x) + cos(2*y*t)');
time_textbox = annotation('textbox', ...
'position', [.82, .9,.1,.1], ...
'edgecolor', 'none', ....
'color', [.9, .9, .9], ...
'fontsize', 14, ...
'string', ' ', ...
'horizontalalignment', 'left', ...
'verticalalignment', 'middle');
% Toggleable Gui Elements
info_textbox = annotation('textbox', ...
'position', [.45, 0,.55,.9], ...
'edgecolor', 'none', ....
'fontsize', 14, ...
'interpreter', 'latex', ...
'visible', 'off', ...
'string', ...
{
' move, turn, pause';
' . e . . . . i . .';
' s d f g h j k l enter';});
options_textedit = uicontrol( 'style', 'edit', ...
'units', 'normalized', ...
'position', [0, 0, .45, .9], ...
'fontsize', 12, ...
'horizontalalignment', 'left', ...
'visible', 'off', ...
'max', 30, ...
'backgroundcolor', [1,1,1], ...
'string', char({...
'% Surface ';
'xlims = [0, 10];';
'ylims = [0, 10];';
'density = 100;';
'color = [.8, .8, 1];';
'alpha = 1;';
'lineplt = false;';
' ';
'% Time ';
't0 = 0;';
'dt = .02;';
'T = 1;';
' ';
'% Camera';
'move_v = .2;';
'turn_v = .02;';
'pause_t = .02;';}));
% ------------------------- Graphics ---------------------------
% Axes with Projection Camera
ax = axes( ...
'units', 'normalized', ...
'position', [0,0,1,1], ...
'color', [.9, .9, .9], ...
'projection', 'perspective', ...
'cameraviewangle', 30, ...
'dataaspectratio', [1,1,1], ...
'interruptible', 'on', ...
'xgrid', 'on', 'ygrid', 'on', 'zgrid', 'on', ...
'ticklabelinterpreter', 'latex', ...
'ticklen', [0,0], 'box', 'on');
% Latex Axes Labels
set(ax.XLabel, 'interpreter','latex', 'string','X', 'color',[ 0, 0,.2]);
set(ax.YLabel, 'interpreter','latex', 'string','Y', 'color',[ 0,.2, 0]);
set(ax.ZLabel, 'interpreter','latex', 'string','Z', 'color',[.2, 0, 0], ...
'rotation', 0);
% Lights
light('style', 'infinite');
light('style', 'local', 'position', [5,5,10]);
% Surface data and Graphics Object
surf_grid_dens = 100;
surf_x = linspace(0, 10, surf_grid_dens);
surf_y = linspace(0, 10, surf_grid_dens);
surf_z = zeros(surf_grid_dens, surf_grid_dens);
surf_obj = surface( 'edgecolor', 'none', 'facelighting', 'gouraud');
% Camera Options
cam_turn_speed = .005;
cam_move_speed = .2;
% Camera Position, Angles
cam_pos = [-15, -2, 12];
cam_el = -.53;
cam_az = .4;
% Camera Move,Turn Velocity
cam_el_vel = 0;
cam_az_vel = 0;
cam_up_vel = 0;
cam_fwd_vel = 0;
cam_side_vel = 0;
% ------------------- Options Variables -----------------------
% Surface Limits
xlims = [];
ylims = [];
% Number of points across each axes
density = [];
% Surface Color and transparency
color = [];
alpha = [];
% Surface = false, Lines = true,
lineplt = false;
% Plot params for t = t0:dt:T
t0 = [];
dt = [];
T = [];
% Camera speed
pause_t = [];
move_v = [];
turn_v = [];
% ---------------------- Main ---------------------------
% Gui Variables
t = 0;
plot_func = '';
loop_on = true;
options_on = false;
lineplt = true;
% Init Axes and Surface
cam_update;
plot_init;
% Main Program Loop
while loop_on
% Update Camera if Active
if cam_fwd_vel ~= 0 || cam_side_vel ~= 0 || ...
cam_el_vel ~= 0 || cam_az_vel ~= 0 || ...
cam_up_vel ~= 0
cam_update;
end
% Update Plot if active t
if t < T
t = t + dt;
time_textbox.String = sprintf('t = %4.2f', t);
surf_update;
end
% Draw
pause(pause_t);
end
% ------------------------ Plot Init Fn --------------------
function plot_init(~,~)
% Evaluate options
txt = options_textedit.String;
dim = size(txt,1);
for i = 1:dim
eval(txt(i,:));
end
% Prepare Options
ax.XLim = xlims;
ax.YLim = ylims;
surf_grid_dens = density;
cam_move_speed = move_v;
cam_turn_speed = turn_v;
% Line/surface plot option
if lineplt == false
surf_obj.FaceColor = color;
surf_obj.FaceAlpha = alpha;
surf_obj.EdgeAlpha = 0;
else
surf_obj.EdgeColor = color;
surf_obj.EdgeAlpha = alpha;
surf_obj.FaceAlpha = 0;
end
% Get Plot Function
func_string = fn_textedit.String;
if isempty(func_string)
func_string = '0';
end
plot_func = str2func(strcat('@(x,y,t) ', func_string));
% Handle Static/Dynamic Plot
if any(func_string == 't') == 0
t = T;
time_textbox.String = ' ';
else
t = t0;
end
% Generate X,Y,Z arrays
surf_x = linspace(xlims(1), xlims(2), density);
surf_y = linspace(ylims(1), ylims(2), density);
surf_z = zeros( density, density);
% Init Surface Buffers, Update
surf_obj.XData = surf_x;
surf_obj.YData = surf_y;
surf_obj.ZData = zeros( density, density);
surf_update;
end
% --------------------- Surface Update Fn -----------------
function surf_update
% Run z = f(x,y,t)
for I = 1:surf_grid_dens
for J = 1:surf_grid_dens
x = surf_x(J);
y = surf_y(I);
z = plot_func(x,y,t);
surf_z(I,J) = z;
end
end
% Update Surface
surf_obj.ZData = surf_z;
end
% -------------------- Camera Update Function ---------------
function cam_update
% Time-step for elevation and azimuth
cam_el = cam_el + cam_el_vel;
cam_az = cam_az + cam_az_vel;
% Time-step for position
cam_pos = cam_pos + ...
cam_up_vel*[0,0,1] + ...
cam_fwd_vel*unit_vec(cam_el, cam_az) + ...
cam_side_vel*unit_vec( 0, cam_az + pi/2);
% Update axes camera
ax.CameraPosition = cam_pos;
ax.CameraTarget = cam_pos + unit_vec(cam_el, cam_az);
end
% ---------------------- Unit Vec Function ------------------
function u = unit_vec(el,az)
u = [ ...
cos(el)*cos(az), ...
cos(el)*sin(az), ...
sin(el)];
end
% ----------------- Options Toggle Function --------------------
function options_on_off(~,~)
if options_on == false
options_on = true;
info_textbox.Visible = 'on';
options_textedit.Visible = 'on';
ax.Position = [.6,0,.3,1];
else
options_on = false;
info_textbox.Visible = 'off';
options_textedit.Visible = 'off';
ax.Position = [0,0,1,1];
end
pause(.001);
end
% --------------------- Keyboard Callbacks ---------------------
function key_down(~,e)
switch e.Key
case 'e', cam_fwd_vel = cam_move_speed;
case 'd', cam_fwd_vel = - cam_move_speed;
case 's', cam_side_vel = cam_move_speed;
case 'f', cam_side_vel = - cam_move_speed;
case 'i', cam_el_vel = cam_turn_speed/2;
case 'k', cam_el_vel = - cam_turn_speed/2;
case 'j', cam_az_vel = cam_turn_speed;
case 'l', cam_az_vel = - cam_turn_speed;
case 'h', cam_up_vel = cam_move_speed;
case 'g', cam_up_vel = - cam_move_speed;
case 'return', t = T;
end
end
function key_up(~,~)
cam_fwd_vel = 0;
cam_side_vel = 0;
cam_el_vel = 0;
cam_az_vel = 0;
cam_up_vel = 0;
end
% Figure Close Fn
function close_fcn(~,~)
loop_on = false;
delete(fig);
end
end
3 仿真结果
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