Superellipse: Difference between revisions

→‎{{header|Lua}}: added Lua solution
(→‎{{header|Lua}}: added Lua solution)
Line 677:
end function
</lang>
 
=={{header|Lua}}==
Scale of a and b were reduced to facilitate an ASCII solution:
<lang lua>local abs,cos,floor,pi,pow,sin = math.abs,math.cos,math.floor,math.pi,math.pow,math.sin
local bitmap = {
init = function(self, w, h, value)
self.w, self.h, self.pixels = w, h, {}
for y=1,h do self.pixels[y]={} end
self:clear(value)
end,
clear = function(self, value)
for y=1,self.h do
for x=1,self.w do
self.pixels[y][x] = value or " "
end
end
end,
set = function(self, x, y, value)
x,y = floor(x+0.5),floor(y+0.5)
if x>0 and y>0 and x<=self.w and y<=self.h then
self.pixels[y][x] = value or "#"
end
end,
superellipse = function(self, ox, oy, n, a, b, c)
local function sgn(n) return n>=0 and 1 or -1 end
for t = 0, 1, 0.002 do
local theta = t * 2 * pi
local x = ox + a * pow(abs(cos(theta)), 2/n) * sgn(cos(theta))
local y = oy + b * pow(abs(sin(theta)), 2/n) * sgn(sin(theta))
self:set(x, y, c)
end
end,
render = function(self)
for y=1,self.h do
print(table.concat(self.pixels[y]))
end
end,
}
 
bitmap:init(80, 80, "..")
bitmap:superellipse(41, 41, 2.5, 38, 38, "[]")
bitmap:render()</lang>
{{out}}
<pre style="font-size:25%">................................................................................................................................................................
..........................................................[][][][][][][][][][][][][][][][][][][][][]............................................................
............................................[][][][][][][]..........................................[][][][][][][]..............................................
......................................[][][][]..................................................................[][][][]........................................
................................[][][][]..............................................................................[][][][]..................................
............................[][][]..........................................................................................[][][]..............................
........................[][][]..................................................................................................[][][]..........................
......................[][]..........................................................................................................[][]........................
..................[][]..................................................................................................................[][]....................
................[][]......................................................................................................................[][]..................
..............[][]..........................................................................................................................[][]................
............[][]..............................................................................................................................[][]..............
............[]..................................................................................................................................[]..............
..........[]......................................................................................................................................[]............
........[][]......................................................................................................................................[][]..........
........[]..........................................................................................................................................[]..........
......[]..............................................................................................................................................[]........
......[]..............................................................................................................................................[]........
....[][]..............................................................................................................................................[][]......
....[]..................................................................................................................................................[]......
....[]..................................................................................................................................................[]......
....[]..................................................................................................................................................[]......
..[][]..................................................................................................................................................[][]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[]......................................................................................................................................................[]....
..[][]..................................................................................................................................................[][]....
....[]..................................................................................................................................................[]......
....[]..................................................................................................................................................[]......
....[]..................................................................................................................................................[]......
....[][]..............................................................................................................................................[][]......
......[]..............................................................................................................................................[]........
......[]..............................................................................................................................................[]........
........[]..........................................................................................................................................[]..........
........[][]......................................................................................................................................[][]..........
..........[]......................................................................................................................................[]............
............[]..................................................................................................................................[]..............
............[][]..............................................................................................................................[][]..............
..............[][]..........................................................................................................................[][]................
................[][]......................................................................................................................[][]..................
..................[][]..................................................................................................................[][]....................
......................[][]..........................................................................................................[][]........................
........................[][][]..................................................................................................[][][]..........................
............................[][][]..........................................................................................[][][]..............................
................................[][][][]..............................................................................[][][][]..................................
......................................[][][][]..................................................................[][][][]........................................
............................................[][][][][][][]..........................................[][][][][][][]..............................................
..........................................................[][][][][][][][][][][][][][][][][][][][][]............................................................
................................................................................................................................................................
................................................................................................................................................................
</pre>
 
=={{header|Maple}}==
Anonymous user