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#
# data structures
#
length = 300;
center = ['x' = 200; 'y' = 250;];
radius = 2 * length / sqrt (12);
fractalangle = 0;
maxlevel = 2;
sizes = [
'button' = [ 'x' = 100; 'y' = 40; ];
'canvas' = [ 'x' = 400; 'y' = 500; ];
'view' = [ 'x' = 400; 'y' = 600; ];
];
sq = function (x) {
return x * x;
};
#
# create view and other widgets
#
init = function () {
view = createwidget (-1, [
'type' = 'view'; 'name' = 'fractal'; 'size' = sizes.view;
]);
array1 = createwidget (view, [
'type' = 'array'; 'borderwidth' = 1; 'mode' = 'vertical';
]);
widgets[array1].resize = resize;
array2 = createwidget (array1, [
'type' = 'array'; 'borderwidth' = 1; 'mode' = 'horizontal';
]);
widgets[array2].resize = resize;
array3 = createwidget (array2, [
'type' = 'array'; 'borderwidth' = 1; 'mode' = 'vertical';
]);
widgets[array3].resize = resize;
morebutton = createwidget (array3, [
'type' = 'button'; 'text' = 'more';
]);
widgets[morebutton].pressed = pressed;
lessbutton = createwidget (array3, [
'type' = 'button'; 'text' = 'less';
]);
widgets[lessbutton].pressed = pressed;
setwidgetattr (morebutton, ['size' = sizes.button;]);
setwidgetattr (lessbutton, ['size' = sizes.button;]);
atext = createwidget (array2, [
'type' = 'text'; 'mode' = 'oneline';
]);
widgets[atext].oneline = oneline;
setwidgetattr (atext, [
'size' = ['x' = sizes.button.x; 'y' = sizes.button.y * 2;];
]);
scroll = createwidget (array1, ['type' = 'scroll';]);
canvas = createwidget (scroll, ['type' = 'canvas';]);
wrect = [0 = ['x' = 0; 'y' = 0;]; 1 = sizes.canvas;];
setwidgetattr (canvas, ['window' = wrect; 'viewport' = wrect[1];]);
};
#
# drawing functions
#
# draw a Koch curve (a ``snowflake'' fractal)
#
# start with a triangle and keep replacing edges
# with the construct: _/\_
# until the recursion level reaches 'maxlevel'
#
fractal = function (level, length, angle) {
local nlength, newpenpos;
if (level >= maxlevel) {
newpenpos.x = penpos.x + length * cos (angle);
newpenpos.y = penpos.y + length * sin (angle);
line (canvas, null, penpos, newpenpos, ['color' = 1;]);
penpos = newpenpos;
return;
}
nlength = length / 3;
fractal (level + 1, nlength, angle);
fractal (level + 1, nlength, angle + 60);
fractal (level + 1, nlength, angle - 60);
fractal (level + 1, nlength, angle);
};
redrawfractal = function () {
clear (canvas);
setpick (canvas, center, wrect);
penpos = [
'x' = center.x + cos (fractalangle + 210) * radius;
'y' = center.y + sin (fractalangle + 210) * radius;
];
fractal (0, length, fractalangle + 60);
fractal (0, length, fractalangle - 60);
fractal (0, length, fractalangle - 180);
remove ('penpos');
};
#
# editing functions
#
# transform the fractal.
#
# map point 'prevpoint' to point 'currpoint'
# with respect to the center of the fractal.
#
transformfractal = function (prevpoint, currpoint) {
local prevtan, currtan, prevradius, currradius;
prevtan = atan (prevpoint.y - center.y, prevpoint.x - center.x);
currtan = atan (currpoint.y - center.y, currpoint.x - center.x);
fractalangle = fractalangle + (currtan - prevtan);
prevradius = sqrt (
sq (prevpoint.y - center.y) + sq (prevpoint.x - center.x)
);
currradius = sqrt (
sq (currpoint.y - center.y) + sq (currpoint.x - center.x)
);
radius = radius / prevradius * currradius;
length = radius / 2 * sqrt (12);
};
#
# main actions
#
redraw = function (data) {
redrawfractal ();
};
changemaxlevel = function (dn) {
maxlevel = maxlevel + dn;
if (maxlevel < 0)
maxlevel = 0;
redrawfractal ();
};
resize = function (data) {
local ret;
if (data.widget == array1) {
ret = [
array2 = [
'x' = data.size.x;
'y' = sizes.button.y * 2;
];
scroll = [
'x' = data.size.x;
'y' = data.size.y - sizes.button.y * 2;
];
];
} else if (data.widget == array2) {
ret = [
array3 = [
'x' = sizes.button.x;
'y' = 2 * sizes.button.y;
];
atext = [
'x' = data.size.x - sizes.button.x;
'y' = 2 * sizes.button.y;
];
];
} else if (data.widget == array3) {
ret = [
morebutton = sizes.button;
lessbutton = sizes.button;
];
}
return ret;
};
#
# user interface functions
#
# bind changes to the fractal to user actions
#
leftup = function (data) {
transformfractal (data.ppos, data.pos);
redrawfractal ();
};
menu = [
0 = 'more';
1 = 'less';
];
domenu = function (i) {
local s;
s = menu[i];
if (s == 'more')
changemaxlevel (1);
else if (s == 'less')
changemaxlevel (-1);
};
rightdown = function (data) {
domenu (displaymenu (canvas, menu));
};
pressed = function (data) {
if (data.widget == morebutton)
changemaxlevel (1);
else if (data.widget == lessbutton)
changemaxlevel (-1);
};
oneline = function (data) {
local dn;
dn = ston (data.text);
if (dn > 0 | dn < 0)
changemaxlevel (dn - maxlevel);
};
#
# postscript generation
#
dops = function () {
local r;
r = [0 = ['x' = 0; 'y' = 0;]; 1 = ['x' = 8 * 300; 'y' = 10.5 * 300;];];
canvas = opencanvas ('pscanvas', '', r);
setwidgetattr (canvas, ['window' = wrect;]);
redraw ();
closecanvas (canvas);
canvas=defcanvas;
};
init ();
#txtview ('off');