Saturday, June 03, 2006
Mandelbrot Fractals Using Stored Procedures
DELIMITER // CREATE SCHEMA fractal // USE fractal // CREATE TABLE disp ( id INT PRIMARY KEY, content VARCHAR(1000) ) // CREATE TABLE shade ( id INT PRIMARY KEY, value INT ) // INSERT INTO shade (id,value) VALUES (0,ORD(' ')),(1,ORD('.')),(2,ORD(',')), (3,ORD('-')),(4,ORD('~')),(5,ORD('*')),(6,ORD(':')),(7,ORD(';')),(8,ORD('+')), (9,ORD('o')),(10,ORD('O')),(11,ORD('&')),(12,ORD('%')),(13,ORD('@')) // CREATE PROCEDURE mandelbrot (IN x_max INT, IN y_max INT) BEGIN DECLARE x INT DEFAULT 0; DECLARE y INT DEFAULT 0; DECLARE xf0 FLOAT; DECLARE yf0 FLOAT; DECLARE xf1 FLOAT; DECLARE yf1 FLOAT; DECLARE tf FLOAT; DECLARE l INT; DECLARE l_max INT; DECLARE buffer VARCHAR(1000); DECLARE tint INT; TRUNCATE disp; SELECT MAX(id) INTO l_max FROM shade LIMIT 1; WHILE y<y_max DO SET buffer=''; SET x=0; WHILE x<x_max DO SET xf0=x*4.0/x_max-2.0; SET yf0=y*4.0/y_max-2.0; SET xf1=xf0; SET yf1=yf0; SET l=0; WHILE l<l_max AND xf1*xf1+yf1*yf1<4.0 DO SET tf=xf1*xf1-yf1*yf1+xf0; SET yf1=2.0*xf1*yf1+yf0; SET xf1=tf; SET l=l+1; END WHILE; SELECT value INTO tint FROM shade WHERE id=l; SET buffer=CONCAT(CHAR(tint),buffer); SET x=x+1; END WHILE; INSERT INTO disp (id,content) VALUES (y,buffer); SET y=y+1; END WHILE; SELECT content FROM disp ORDER BY id ASC; END // CALL mandelbrot (50,20) //
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lol!
I'm still in awe at how you wrote a Mandelbrot generator on my Casio calculator some 12 years ago!
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I'm still in awe at how you wrote a Mandelbrot generator on my Casio calculator some 12 years ago!
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