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Rings.wxm
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/* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/
/* [ Created with wxMaxima version 22.04.0 ] */
/* [wxMaxima: input start ] */
/* COPYRIGHT NOTICE
Copyright (C) 2009 Mario Rodriguez Riotorto
This program is free software; you can redistribute
it and/or modify it under the terms of the
GNU General Public License as published by
the Free Software Foundation; either version 2
of the License, or (at your option) any later version.
This program is distributed in the hope that it
will be useful, but WITHOUT ANY WARRANTY;
without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details at
http://www.gnu.org/copyleft/gpl.html
*/
/*
This is a small package for turtle graphics in Maxima.
Internal variables concerning object 'turtle':
- xcor
- ycor
- heading
- pendownp
Functions for object 'turtle':
- forward(n)
- arc(angle,radius)
- left(n)
- right(n)
- back(n)
- setxy(n,n)
- setx(n)
- sety(n)
- home()
- towards(number,number)
- penup()
- pendown()
- repeat(n, ....)
- to(name, ....)
- setpencolor(number)
- setpensize(number)
- setheading(angle)
- make(variable, number)
- when(condition, ..., ...)
- ifelse(condition,[...],[...])
*/
put('turtle, 1, 'version) $
if not get('draw,'version) then load("draw") $
turtle([logo]):=
block([codraw:[points_joined = true,
transparent = true,
point_type = dot],
numer: true,
to_routines, var,
_segment,_forward,_backward,_jump,_substvar,_parse],
var[heading]: 90,
var[xcor]: 0,
var[ycor]: 0,
var[pendownp]: true,
local(_segment,_forward,_backward,_jump,_substvar,_parse),
_segment(p1,p2):=
codraw: endcons(points([p1,p2]), codraw),
_forward(d):=
block([rad: var[heading]*%pi/180],
_segment([var[xcor], var[ycor]],
[var[xcor], var[ycor]]:
[var[xcor], var[ycor]]+d*[cos(rad), sin(rad)])),
_backward(d):=
block([rad: var[heading]*%pi/180+%pi],
_segment([var[xcor], var[ycor]],
[var[xcor], var[ycor]]:
[var[xcor], var[ycor]]+d*[cos(rad), sin(rad)])),
_jump(x,y):=
block([pos2:[var[xcor], var[ycor]]],
if not x = false then pos2[1]: x,
if not y = false then pos2[2]: y,
_segment([var[xcor], var[ycor]], pos2),
[var[xcor], var[ycor]]: pos2),
_substvar(expr):=
subst(map("=",
flatten(sublist(arrayinfo(var),listp)),
flatten(listarray(var))),
expr),
_parse(l):=
for s in l do
(if not atom(s) and op(s) = 'make
then s: make(args(s)[1], _substvar(args(s)[2]))
else if not atom(s) and op(s) # 'repeat and op(s) # 'to
then s: _substvar(s),
if not atom(s) and op(s) = 'forward
then _forward(ev(first(args(s)), nouns))
elseif not atom(s) and op(s) = 'back
then _backward(ev(first(args(s)), nouns))
elseif not atom(s) and op(s) = 'right
then var[heading]: var[heading] - ev(first(args(s)),nouns)
elseif not atom(s) and op(s) = 'left
then var[heading]: var[heading] + ev(first(args(s)),nouns)
elseif not atom(s) and op(s) = 'setxy
then _jump(ev(args(s)[1],nouns),
ev(args(s)[2],nouns))
elseif not atom(s) and op(s) = 'setx
then _jump(ev(args(s)[1],nouns), false)
elseif not atom(s) and op(s) = 'sety
then _jump(false, ev(args(s)[1],nouns))
elseif not atom(s) and op(s) = 'home
then _jump(0,0)
elseif not atom(s) and op(s) = 'towards
then var[heading]:
block([u,v,fu,fv,a],
[u,v]: ev(args(s),nouns) - [var[xcor], var[ycor]],
[fu,fv]: float([u,v]),
if fu=0.0
then if fv>0.0
then 90
elseif fv<0.0
then -90
else var[heading]
else (a: atan(v/u)*180/%pi,
if fu>0.0
then a
else 180+a))
elseif not atom(s) and op(s) = 'penup
then (var[pendownp]: true,
codraw: endcons(points_joined = false, codraw))
elseif not atom(s) and op(s) = 'pendown
then (var[pendownp]: false,
codraw: endcons(points_joined = true, codraw))
elseif not atom(s) and op(s) = 'repeat
then
for i:1 thru args(s)[1] do
_parse(rest(args(s)))
elseif not atom(s) and op(s) = 'to
then to_routines[args(s)[1]]: rest(args(s))
elseif not atom(s) and op(s) = 'setpencolor
then block([colores:["black", "blue", "green", "cyan", "red",
"magenta", "yellow", "white", "brown",
"#d2b48c"/*tan*/, "forest-green", "aquamarine",
"salmon", "purple", "orange", "grey"]],
codraw: endcons(color = colores[ev(mod(args(s)[1],
length(colores))+1, nouns)],
codraw))
elseif not atom(s) and op(s) = 'setpensize
then codraw: endcons(line_width = round(abs(ev(args(s)[1],nouns))), codraw)
elseif not atom(s) and op(s) = 'setheading
then var[heading]: ev(first(args(s)),nouns)
elseif not atom(s) and op(s) = 'arc
then codraw: endcons(ellipse(var[xcor],
var[ycor],
ev(args(s)[2],nouns),
ev(args(s)[2],nouns),
var[heading],
ev(args(s)[1],nouns)),
codraw)
elseif not atom(s) and op(s) = 'when and is(ev(args(s)[1],nouns))
then _parse(rest(args(s)))
elseif not atom(s) and op(s) = 'ifelse
then if is(ev(args(s)[1],nouns))
then _parse(part(s,2))
else _parse(part(s,3))
elseif not atom(s) and listp(to_routines[op(s)])
then if length(to_routines[op(s)][1]) > 0
then /* routine with parameters */
_parse(subst(map("=", to_routines[op(s)][1], args(s)),
rest(to_routines[op(s)])))
else /* routine without parameters */
_parse(to_routines[op(s)])
elseif not atom(s) and op(s) = 'make
then var[args(s)[1]]: ev(args(s)[2],nouns)
),
_parse(args(logo)),
remarray(to_routines, var),
codraw)$
/* [wxMaxima: input end ] */
/* [wxMaxima: input start ] */
set_draw_defaults(
terminal = svg,
dimensions = [350,350],
proportional_axes = xy) $
/* [wxMaxima: input end ] */
/* [wxMaxima: input start ] */
showtime:true$
/* [wxMaxima: input end ] */
/* [wxMaxima: input start ] */
/* Rings */
/* Around 128 s for repeat(4,
right(90),
rings(4,10)
) */
wxdraw2d(
turtle(
to(rings,[depth,side],
ifelse(depth=0,
[
forward(side)
],
[
rings(depth-1,side),
rings(depth-1,side),
right(90),
rings(depth-1,side),
right(90),
rings(depth-1,side),
right(90),
rings(depth-1,side),
right(90),
rings(depth-1,side),
right(90),
rings(depth-1,side),
left(90),
rings(depth-1,side)
]
)
),
repeat(4,
right(90),
rings(4,10)
)
)
);
/* [wxMaxima: input end ] */
/* Old versions of Maxima abort on loading files that end in a comment. */
"Created with wxMaxima 22.04.0"$