Cantor set: Difference between revisions
Content deleted Content added
m →Haskell :: Cantor Interval bars: Tidied |
m →Haskell :: Dual representation: (Tidying, applying Ormolu) |
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===Dual representation=== |
===Dual representation=== |
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Intervals as fraction pairs, and intervals as graphic bars: |
Intervals as fraction pairs, and intervals as graphic bars: |
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<lang haskell>import Data. |
<lang haskell>import Data.List (intercalate, mapAccumL, maximumBy) |
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import Data. |
import Data.Ratio (Ratio, denominator, numerator, (%)) |
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-------------------------- CANTOR ------------------------ |
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cantor :: (Rational, Rational) -> [[(Rational, Rational)]] |
cantor :: (Rational, Rational) -> [[(Rational, Rational)]] |
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r = (y - x) / 3 |
r = (y - x) / 3 |
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--------------------------- TEST ------------------------- |
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main :: IO () |
main :: IO () |
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putStrLn $ intervalBars xs |
putStrLn $ intervalBars xs |
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------------------------- DISPLAY ------------------------ |
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intervalBars :: [[(Rational, Rational)]] -> String |
intervalBars :: [[(Rational, Rational)]] -> String |
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go w xs = |
go w xs = |
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concat . snd $ |
concat . snd $ |
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mapAccumL |
mapAccumL |
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(\a (rx, ry) -> |
( \a (rx, ry) -> |
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let (wy, wx) = (w * ry, w * rx) |
let (wy, wx) = (w * ry, w * rx) |
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in ( wy |
in ( wy, |
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replicate (floor (wx - a)) ' ' |
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replicate (floor (wy - wx)) '█' |
<> replicate (floor (wy - wx)) '█' |
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) |
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) |
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0 |
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xs |
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intervalRatios :: [(Rational, Rational)] -> String |
intervalRatios :: [(Rational, Rational)] -> String |
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intervalRatios = |
intervalRatios = |
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('(' :) . (<> ")") |
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. intercalate ") (" |
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. fmap go |
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where |
where |
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go (rx, ry) = intercalate ", " $ showRatio <$> [rx, ry] |
go (rx, ry) = intercalate ", " $ showRatio <$> [rx, ry] |
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showRatio :: Rational -> String |
showRatio :: Rational -> String |
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showRatio = (( |
showRatio = ((<>) . show . numerator) <*> (go . denominator) |
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where |
where |
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go x |
go x |
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