Created
June 7, 2014 21:29
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Mandelbrot fractal with OGR
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Credits to http://www.sqlite.org/lang_with.html#mandelbrot | |
$ LD_LIBRARY_PATH=/home/even/install-sqlite-3.8.5/lib:$LD_LIBRARY_PATH ogrinfo :memory: -sql "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 x'0a' || group_concat(rtrim(t),x'0a') as mandelbrot FROM a" -dialect sqlite | |
INFO: Open of `:memory:' | |
using driver `SQLite' successful. | |
Layer name: SELECT | |
Geometry: None | |
Feature Count: 1 | |
Layer SRS WKT: | |
(unknown) | |
mandelbrot: String (0.0) | |
OGRFeature(SELECT):0 | |
mandelbrot (String) = | |
....# | |
..#*.. | |
..+####+. | |
.......+####.... + | |
..##+*##########+.++++ | |
.+.##################+. | |
.............+###################+.+ | |
..++..#.....*#####################+. | |
...+#######++#######################. | |
....+*################################. | |
#############################################... | |
....+*################################. | |
...+#######++#######################. | |
..++..#.....*#####################+. | |
.............+###################+.+ | |
.+.##################+. | |
..##+*##########+.++++ | |
.......+####.... + | |
..+####+. | |
..#*.. | |
....# | |
+. |
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