{-# LANGUAGE OverloadedStrings #-}
{-# LANGUAGE QuasiQuotes #-}
module PGExtras.Queries.Mandelbrot (mandelbrotSQL, displayMandelbrot) where
import PGExtras.Helpers (maybeText)
import Database.PostgreSQL.Simple
import Text.RawString.QQ
import qualified Data.Text as Text
import Control.Monad (forM_)
import Data.List (intercalate)
mandelbrotSQL :: Query
mandelbrotSQL :: Query
mandelbrotSQL = [r|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),
(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 < 100
)
SELECT array_to_string(array_agg(SUBSTRING(' .,,,-----++++%%%%@@@@#### ', LEAST(GREATEST(I,1),27), 1)),''), 't' as t
FROM (
SELECT IX, IY, MAX(I) AS I
FROM Z
GROUP BY IY, IX
ORDER BY IY, IX
) AS ZT
GROUP BY IY
ORDER BY IY;|]
displayMandelbrot :: [(Maybe Text.Text, Maybe Text.Text)] -> IO ()
displayMandelbrot :: [(Maybe Text, Maybe Text)] -> IO ()
displayMandelbrot rows :: [(Maybe Text, Maybe Text)]
rows = do
String -> IO ()
putStrLn (String -> IO ()) -> String -> IO ()
forall a b. (a -> b) -> a -> b
$ String
description
String -> IO ()
putStrLn (String -> IO ()) -> String -> IO ()
forall a b. (a -> b) -> a -> b
$ String -> [String] -> String
forall a. [a] -> [[a]] -> [a]
intercalate " | " [String]
tableHeaders
[(Maybe Text, Maybe Text)]
-> ((Maybe Text, Maybe Text) -> IO ()) -> IO ()
forall (t :: * -> *) (m :: * -> *) a b.
(Foldable t, Monad m) =>
t a -> (a -> m b) -> m ()
forM_ [(Maybe Text, Maybe Text)]
rows (((Maybe Text, Maybe Text) -> IO ()) -> IO ())
-> ((Maybe Text, Maybe Text) -> IO ()) -> IO ()
forall a b. (a -> b) -> a -> b
$ \(arg1 :: Maybe Text
arg1, _) ->
String -> IO ()
putStrLn (String -> IO ()) -> String -> IO ()
forall a b. (a -> b) -> a -> b
$ Maybe Text -> String
maybeText(Maybe Text
arg1)
description :: [Char]
description :: String
description = "The mandelbrot set"
tableHeaders :: [[Char]]
= ["name", "ratio"]