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local bignum = require "bignum"
local M = {}
local function sq(x, y)
return x*x - y*y, 2 * x * y
end
function M.orbit(iter, x, y)
local o = {}
local zx, zy = bignum.float(0, 32), bignum.float(0, 32)
for i = 1, iter do
local rx, ry = bignum.tonumber(zx), bignum.tonumber(zy)
table.insert(o, {rx, ry})
zx, zy = sq(zx, zy)
zx, zy = zx + x, zy + y
end
return o
end
return M
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