On Sun, Nov 23, 2008 at 11:49:31AM -0800, David Fetter wrote:
> On Sun, Nov 23, 2008 at 12:34:21AM -0300, Alvaro Herrera wrote:
> > Gregory Stark wrote:
> >
> > > WITH RECURSIVE Z(IX, IY, CX, CY, X, Y, I) AS (
> > > [elided]
> >
> > FWIW you can halve the running time by restricting I to 27 instead of
> > 100 in the recursive term, and obtain the same result.
>
> I found it easier to read this way:
>
> WITH RECURSIVE
> Z(Ix, Iy, Cx, Cy, X, Y, I)
With the I < 27 in the first part, the second part doesn't need a
LEAST, so it now reads:
WITH RECURSIVE
Z(Ix, Iy, Cx, Cy, X, Y, I)
AS ( SELECT Ix, Iy, X::float, Y::float, X::float, Y::float, 0 FROM (SELECT -2.2 + 0.031 * i, i FROM
generate_series(0,101)AS i) AS xgen(x,ix) CROSS JOIN (SELECT -1.5 + 0.031 * i, i FROM generate_series(0,101) AS
i)AS ygen(y,iy) UNION ALL SELECT Ix, Iy, Cx, Cy, X * X - Y * Y + Cx AS X, Y * X * 2 + Cy, I + 1 FROM Z WHERE X
*X + Y * Y < 16::float AND I < 27
),
Zt (Ix, Iy, I) AS ( SELECT Ix, Iy, MAX(I) AS I FROM Z GROUP BY Iy, Ix ORDER BY Iy, Ix
)
SELECT array_to_string( array_agg( SUBSTRING(' .,,,-----++++%%%%@@@@#### ', GREATEST(I,1), 1) ),''
)
FROM Zt
GROUP BY Iy
ORDER BY Iy;
That cuts it to 786ms or so on my laptop :)
Cheers,
David.
--
David Fetter <david@fetter.org> http://fetter.org/
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