From 97e0ca7f099fedfd7ee41c2f0ad4f5a443b70579 Mon Sep 17 00:00:00 2001
From: citrons <citrons@mondecitronne.com>
Date: Fri, 1 Aug 2025 21:08:00 -0500
Subject: initial commit

---
 mandelbrot.lua | 21 +++++++++++++++++++++
 1 file changed, 21 insertions(+)
 create mode 100644 mandelbrot.lua

(limited to 'mandelbrot.lua')

diff --git a/mandelbrot.lua b/mandelbrot.lua
new file mode 100644
index 0000000..a94f46f
--- /dev/null
+++ b/mandelbrot.lua
@@ -0,0 +1,21 @@
+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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