1 files changed, 17 insertions, 0 deletions
diff --git a/ext/wasm/sql/000-mandelbrot.sql b/ext/wasm/sql/000-mandelbrot.sql
new file mode 100644
index 0000000..3aa5f57
--- /dev/null
+++ b/ext/wasm/sql/000-mandelbrot.sql
@@ -0,0 +1,17 @@
+WITH RECURSIVE
+  xaxis(x) AS (VALUES(-2.0) UNION ALL SELECT x+0.05 FROM xaxis WHERE x<1.2),
+  yaxis(y) AS (VALUES(-1.0) UNION ALL SELECT y+0.1 FROM yaxis WHERE y<1.0),
+  m(iter, cx, cy, x, y) AS (
+    SELECT 0, x, y, 0.0, 0.0 FROM xaxis, yaxis
+    UNION ALL
+    SELECT iter+1, cx, cy, x*x-y*y + cx, 2.0*x*y + cy FROM m 
+     WHERE (x*x + y*y) < 4.0 AND iter<28
+  ),
+  m2(iter, cx, cy) AS (
+    SELECT max(iter), cx, cy FROM m GROUP BY cx, cy
+  ),
+  a(t) AS (
+    SELECT group_concat( substr(' .+*#', 1+min(iter/7,4), 1), '') 
+    FROM m2 GROUP BY cy
+  )
+SELECT group_concat(rtrim(t),x'0a') as Mandelbrot FROM a;