Sqlite Mandelbrot

gistfile1.txt

-> ice ~ % sqlite3
SQLite version 3.8.6 2014-08-15 11:46:33
Enter ".help" for usage hints.
Connected to a transient in-memory database.
Use ".open FILENAME" to reopen on a persistent database.
sqlite> 
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') FROM a;
sqlite>                                     ....#
                                   ..#*..
                                 ..+####+.
                            .......+####....   +
                           ..##+*##########+.++++
                          .+.##################+.
              .............+###################+.+
              ..++..#.....*#####################+.
             ...+#######++#######################.
          ....+*################################.
 #############################################...
          ....+*################################.
             ...+#######++#######################.
              ..++..#.....*#####################+.
              .............+###################+.+
                          .+.##################+.
                           ..##+*##########+.++++
                            .......+####....   +
                                 ..+####+.
                                   ..#*..
                                    ....#
                                    +.
sqlite>