🎨 Reformat modules with new ormolu defaults
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src/GA.hs
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src/GA.hs
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@ -2,25 +2,24 @@
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{-# LANGUAGE DeriveFunctor #-}
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{-# LANGUAGE DeriveFunctor #-}
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{-# LANGUAGE DeriveTraversable #-}
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{-# LANGUAGE DeriveTraversable #-}
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{-# LANGUAGE GeneralizedNewtypeDeriving #-}
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{-# LANGUAGE GeneralizedNewtypeDeriving #-}
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{-# LANGUAGE NoImplicitPrelude #-}
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{-# LANGUAGE OverloadedStrings #-}
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{-# LANGUAGE OverloadedStrings #-}
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{-# LANGUAGE TemplateHaskell #-}
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{-# LANGUAGE TemplateHaskell #-}
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{-# LANGUAGE TupleSections #-}
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{-# LANGUAGE TupleSections #-}
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{-# LANGUAGE NoImplicitPrelude #-}
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{-|
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-- |
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Module : GA
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-- Module : GA
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Description : Abstract genetic algorithm
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-- Description : Abstract genetic algorithm
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Copyright : David Pätzel, 2019
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-- Copyright : David Pätzel, 2019
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License : GPL-3
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-- License : GPL-3
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Maintainer : David Pätzel <david.paetzel@posteo.de>
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-- Maintainer : David Pätzel <david.paetzel@posteo.de>
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Stability : experimental
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-- Stability : experimental
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--
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Simplistic abstract definition of a genetic algorithm.
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-- Simplistic abstract definition of a genetic algorithm.
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--
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In order to use it for a certain problem, basically, you have to make your
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-- In order to use it for a certain problem, basically, you have to make your
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solution type an instance of 'Individual' and then simply call the 'run'
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-- solution type an instance of 'Individual' and then simply call the 'run'
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function.
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-- function.
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-}
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module GA where
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module GA where
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import Control.Arrow hiding (first, second)
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import Control.Arrow hiding (first, second)
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@ -42,19 +41,17 @@ type N = Int
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type R = Double
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type R = Double
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class Eq i => Individual i where
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class Eq i => Individual i where
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-- |
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-- Generates a completely random individual given an existing individual.
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--
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-- We have to add @i@ here as a parameter in order to be able to inject stuff.
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{-|
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Generates a completely random individual given an existing individual.
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We have to add @i@ here as a parameter in order to be able to inject stuff.
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-}
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-- TODO This (and also, Seminar.I, which contains an ugly parameter @p@) has
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-- TODO This (and also, Seminar.I, which contains an ugly parameter @p@) has
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-- to be done nicer!
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-- to be done nicer!
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new :: (MonadRandom m) => i -> m i
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new :: (MonadRandom m) => i -> m i
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{-|
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-- |
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Generates a random population of the given size.
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-- Generates a random population of the given size.
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-}
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population :: (MonadRandom m) => N -> i -> m (Population i)
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population :: (MonadRandom m) => N -> i -> m (Population i)
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population n i
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population n i
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| n <= 0 = undefined
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| n <= 0 = undefined
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@ -64,21 +61,19 @@ class Eq i => Individual i where
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crossover1 :: (MonadRandom m) => i -> i -> m (Maybe (i, i))
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crossover1 :: (MonadRandom m) => i -> i -> m (Maybe (i, i))
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{-|
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-- |
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An individual's fitness. Higher values are considered “better”.
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-- An individual's fitness. Higher values are considered “better”.
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--
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We explicitely allow fitness values to be have any sign (see, for example,
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-- We explicitely allow fitness values to be have any sign (see, for example,
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'proportionate1').
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-- 'proportionate1').
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-}
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fitness :: (Monad m) => i -> m R
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fitness :: (Monad m) => i -> m R
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{-|
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-- |
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Performs an n-point crossover.
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-- Performs an n-point crossover.
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--
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Given the function for single-point crossover, 'crossover1', this function can
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-- Given the function for single-point crossover, 'crossover1', this function can
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be derived through recursion and a monad combinator (which is also the default
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-- be derived through recursion and a monad combinator (which is also the default
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implementation).
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-- implementation).
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-}
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crossover :: (MonadRandom m) => N -> i -> i -> m (Maybe (i, i))
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crossover :: (MonadRandom m) => N -> i -> i -> m (Maybe (i, i))
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crossover n i1 i2
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crossover n i1 i2
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| n <= 0 = return $ Just (i1, i2)
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| n <= 0 = return $ Just (i1, i2)
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@ -86,12 +81,10 @@ class Eq i => Individual i where
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isM <- crossover1 i1 i2
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isM <- crossover1 i1 i2
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maybe (return Nothing) (uncurry (crossover (n - 1))) isM
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maybe (return Nothing) (uncurry (crossover (n - 1))) isM
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{-|
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-- |
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Needed for QuickCheck tests, for now, a very simplistic implementation should
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-- Needed for QuickCheck tests, for now, a very simplistic implementation should
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suffice.
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-- suffice.
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-}
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instance Individual Integer where
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instance Individual Integer where
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new _ = sample $ uniform 0 (0 + 100000)
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new _ = sample $ uniform 0 (0 + 100000)
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mutate i = sample $ uniform (i - 10) (i + 10)
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mutate i = sample $ uniform (i - 10) (i + 10)
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@ -100,30 +93,29 @@ instance Individual Integer where
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fitness = return . fromIntegral . negate
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fitness = return . fromIntegral . negate
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{-|
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-- |
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Populations are just basic non-empty lists.
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-- Populations are just basic non-empty lists.
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-}
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type Population i = NonEmpty i
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type Population i = NonEmpty i
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{-|
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-- |
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Produces offspring circularly from the given list of parents.
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-- Produces offspring circularly from the given list of parents.
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-}
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children ::
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children
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(Individual i, MonadRandom m) =>
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:: (Individual i, MonadRandom m)
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-- | The @nX@ of the @nX@-point crossover operator
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=> N -- ^ The @nX@ of the @nX@-point crossover operator
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N ->
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-> NonEmpty i
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NonEmpty i ->
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-> m (NonEmpty i)
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m (NonEmpty i)
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children _ (i :| []) = (:| []) <$> mutate i
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children _ (i :| []) = (:| []) <$> mutate i
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children nX (i1 :| [i2]) = children2 nX i1 i2
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children nX (i1 :| [i2]) = children2 nX i1 i2
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children nX (i1 :| i2 : is') =
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children nX (i1 :| i2 : is') =
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(<>) <$> children2 nX i1 i2 <*> children nX (NE.fromList is')
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(<>) <$> children2 nX i1 i2 <*> children nX (NE.fromList is')
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prop_children_asManyAsParents
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prop_children_asManyAsParents ::
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:: (Individual a, Show a) => N -> NonEmpty a -> Property
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(Individual a, Show a) => N -> NonEmpty a -> Property
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prop_children_asManyAsParents nX is =
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prop_children_asManyAsParents nX is =
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again
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again $
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$ monadicIO
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monadicIO $
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$ do
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do
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is' <- lift $ children nX is
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is' <- lift $ children nX is
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return $ counterexample (show is') $ length is' == length is
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return $ counterexample (show is') $ length is' == length is
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@ -135,18 +127,17 @@ children2 nX i1 i2 = do
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i6 <- mutate i4
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i6 <- mutate i4
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return $ i5 :| [i6]
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return $ i5 :| [i6]
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{-|
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-- |
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The best according to a function; returns up to @k@ results and the remaining
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-- The best according to a function; returns up to @k@ results and the remaining
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population.
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-- population.
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--
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If @k <= 0@, this returns the best one anyway (as if @k == 1@).
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-- If @k <= 0@, this returns the best one anyway (as if @k == 1@).
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-}
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bestsBy ::
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bestsBy
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(Individual i, Monad m) =>
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:: (Individual i, Monad m)
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N ->
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=> N
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(i -> m R) ->
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-> (i -> m R)
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Population i ->
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-> Population i
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m (NonEmpty i, [i])
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-> m (NonEmpty i, [i])
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bestsBy k f pop@(i :| pop')
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bestsBy k f pop@(i :| pop')
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| k <= 0 = bestsBy 1 f pop
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| k <= 0 = bestsBy 1 f pop
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| otherwise = foldM run (i :| [], []) pop'
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| otherwise = foldM run (i :| [], []) pop'
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@ -157,10 +148,9 @@ bestsBy k f pop@(i :| pop')
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sorted =
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sorted =
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fmap (fmap fst . NE.sortOn (Down . snd)) . traverse (\i -> (i,) <$> f i)
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fmap (fmap fst . NE.sortOn (Down . snd)) . traverse (\i -> (i,) <$> f i)
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{-|
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-- |
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The @k@ best individuals in the population when comparing using the supplied
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-- The @k@ best individuals in the population when comparing using the supplied
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function.
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-- function.
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-}
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bestsBy' :: (Individual i, Monad m) => N -> (i -> m R) -> Population i -> m [i]
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bestsBy' :: (Individual i, Monad m) => N -> (i -> m R) -> Population i -> m [i]
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bestsBy' k f =
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bestsBy' k f =
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fmap (NE.take k . fmap fst . NE.sortBy (comparing (Down . snd)))
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fmap (NE.take k . fmap fst . NE.sortBy (comparing (Down . snd)))
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prop_bestsBy_isBestsBy' :: Individual a => Int -> Population a -> Property
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prop_bestsBy_isBestsBy' :: Individual a => Int -> Population a -> Property
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prop_bestsBy_isBestsBy' k pop =
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prop_bestsBy_isBestsBy' k pop =
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k > 0
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k > 0 ==>
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==> monadicIO
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monadicIO $
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$ do
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do
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a <- fst <$> bestsBy k fitness pop
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a <- fst <$> bestsBy k fitness pop
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b <- bestsBy' k fitness pop
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b <- bestsBy' k fitness pop
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assert $ NE.toList a == b
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assert $ NE.toList a == b
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prop_bestsBy_lengths k pop =
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prop_bestsBy_lengths k pop =
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k > 0 ==> monadicIO $ do
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k > 0 ==> monadicIO $ do
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(bests, rest) <- bestsBy k fitness pop
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(bests, rest) <- bestsBy k fitness pop
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assert
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assert $
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$ length bests == min k (length pop) && length bests + length rest == length pop
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length bests == min k (length pop) && length bests + length rest == length pop
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{-|
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-- |
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The @k@ worst individuals in the population (and the rest of the population).
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-- The @k@ worst individuals in the population (and the rest of the population).
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-}
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worst :: (Individual i, Monad m) => N -> Population i -> m (NonEmpty i, [i])
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worst :: (Individual i, Monad m) => N -> Population i -> m (NonEmpty i, [i])
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worst = flip bestsBy (fmap negate . fitness)
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worst = flip bestsBy (fmap negate . fitness)
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{-|
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-- |
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The @k@ best individuals in the population (and the rest of the population).
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-- The @k@ best individuals in the population (and the rest of the population).
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-}
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bests :: (Individual i, Monad m) => N -> Population i -> m (NonEmpty i, [i])
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bests :: (Individual i, Monad m) => N -> Population i -> m (NonEmpty i, [i])
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bests = flip bestsBy fitness
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bests = flip bestsBy fitness
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-- TODO add top x percent parent selection (select n guys, sort by fitness first)
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-- TODO add top x percent parent selection (select n guys, sort by fitness first)
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{-|
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Performs one iteration of a steady state genetic algorithm that in each
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-- |
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iteration that creates @k@ offspring simply deletes the worst @k@ individuals
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-- Performs one iteration of a steady state genetic algorithm that in each
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while making sure that the given percentage of elitists survive (at least 1
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-- iteration that creates @k@ offspring simply deletes the worst @k@ individuals
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elitist, even if the percentage is 0 or low enough for rounding to result in 0
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-- while making sure that the given percentage of elitists survive (at least 1
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elitists).
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-- elitist, even if the percentage is 0 or low enough for rounding to result in 0
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-}
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-- elitists).
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stepSteady
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stepSteady ::
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:: (Individual i, MonadRandom m, Monad m)
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(Individual i, MonadRandom m, Monad m) =>
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=> Selection m i -- ^ Mechanism for selecting parents
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-- | Mechanism for selecting parents
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-> N -- ^ Number of parents @nParents@ for creating @nParents@ children
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Selection m i ->
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-> N -- ^ How many crossover points (the @nX@ in @nX@-point crossover)
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-- | Number of parents @nParents@ for creating @nParents@ children
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-> R -- ^ Elitism ratio @pElite@
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N ->
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-> Population i
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-- | How many crossover points (the @nX@ in @nX@-point crossover)
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-> m (Population i)
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N ->
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-- | Elitism ratio @pElite@
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R ->
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Population i ->
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m (Population i)
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stepSteady select nParents nX pElite pop = do
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stepSteady select nParents nX pElite pop = do
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-- TODO Consider keeping the fitness evaluations already done for pop (so we
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-- TODO Consider keeping the fitness evaluations already done for pop (so we
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-- only reevaluate iChildren)
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-- only reevaluate iChildren)
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then return elitists
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then return elitists
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else
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else
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(elitists <>)
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(elitists <>)
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. fst <$> bests (length pop - length elitists) (i :| is)
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. fst
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<$> bests (length pop - length elitists) (i :| is)
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where
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where
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nBest = floor . (pElite *) . fromIntegral $ NE.length pop
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nBest = floor . (pElite *) . fromIntegral $ NE.length pop
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prop_stepSteady_constantPopSize
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prop_stepSteady_constantPopSize ::
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:: (Individual a, Show a) => NonEmpty a -> Property
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(Individual a, Show a) => NonEmpty a -> Property
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prop_stepSteady_constantPopSize pop =
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prop_stepSteady_constantPopSize pop =
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forAll
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forAll
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( (,)
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( (,)
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pop' <- lift $ stepSteady (tournament 4) nParents nX pElite pop
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pop' <- lift $ stepSteady (tournament 4) nParents nX pElite pop
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return . counterexample (show pop') $ length pop' == length pop
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return . counterexample (show pop') $ length pop' == length pop
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{-|
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-- |
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Given an initial population, runs the GA until the termination criterion is
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-- Given an initial population, runs the GA until the termination criterion is
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fulfilled.
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-- fulfilled.
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--
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Uses the pipes library to, in each step, 'Pipes.yield' the currently best known
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-- Uses the pipes library to, in each step, 'Pipes.yield' the currently best known
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solution.
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-- solution.
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-}
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run ::
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run
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(Individual i, Monad m, MonadRandom m) =>
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:: (Individual i, Monad m, MonadRandom m)
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-- | Mechanism for selecting parents
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=> Selection m i -- ^ Mechanism for selecting parents
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Selection m i ->
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-> N -- ^ Number of parents @nParents@ for creating @nParents@ children
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-- | Number of parents @nParents@ for creating @nParents@ children
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-> N -- ^ How many crossover points (the @nX@ in @nX@-point crossover)
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N ->
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-> R -- ^ Elitism ratio @pElite@
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-- | How many crossover points (the @nX@ in @nX@-point crossover)
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-> Population i
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N ->
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-> Termination i
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-- | Elitism ratio @pElite@
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-> Producer (Int, R) m (Population i)
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R ->
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Population i ->
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Termination i ->
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Producer (Int, R) m (Population i)
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run select nParents nX pElite pop term = step' 0 pop
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run select nParents nX pElite pop term = step' 0 pop
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where
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where
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step' t pop
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step' t pop
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@ -268,57 +264,55 @@ run select nParents nX pElite pop term = step' 0 pop
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(iBests, _) <- lift $ bests 1 pop'
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(iBests, _) <- lift $ bests 1 pop'
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fs <- lift . sequence $ fitness <$> iBests
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fs <- lift . sequence $ fitness <$> iBests
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let fBest = NE.head fs
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let fBest = NE.head fs
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yield (t, fBest)
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Pipes.yield (t, fBest)
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step' (t + 1) pop'
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step' (t + 1) pop'
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-- * Selection mechanisms
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-- * Selection mechanisms
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{-|
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-- |
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A function generating a monadic action which selects a given number of
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-- A function generating a monadic action which selects a given number of
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individuals from the given population.
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-- individuals from the given population.
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-}
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type Selection m i = N -> Population i -> m (NonEmpty i)
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type Selection m i = N -> Population i -> m (NonEmpty i)
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{-|
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-- |
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Selects @n@ individuals from the population the given mechanism by repeatedly
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-- Selects @n@ individuals from the population the given mechanism by repeatedly
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selecting a single individual using the given selection mechanism (with
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-- selecting a single individual using the given selection mechanism (with
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replacement, so the same individual can be selected multiple times).
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-- replacement, so the same individual can be selected multiple times).
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-}
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chain ::
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chain
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(Individual i, MonadRandom m) =>
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:: (Individual i, MonadRandom m)
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(Population i -> m i) ->
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=> (Population i -> m i)
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Selection m i
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-> Selection m i
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-- TODO Ensure that the same individual is not selected multiple times
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-- TODO Ensure that the same individual is not selected multiple times
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-- (require Selections to partition)
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-- (require Selections to partition)
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chain select1 n pop
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chain select1 n pop
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| n > 1 = (<|) <$> select1 pop <*> chain select1 (n - 1) pop
|
| n > 1 = (<|) <$> select1 pop <*> chain select1 (n - 1) pop
|
||||||
| otherwise = (:|) <$> select1 pop <*> return []
|
| otherwise = (:|) <$> select1 pop <*> return []
|
||||||
|
|
||||||
{-|
|
-- |
|
||||||
Selects @n@ individuals from the population by repeatedly selecting a single
|
-- Selects @n@ individuals from the population by repeatedly selecting a single
|
||||||
indidual using a tournament of the given size (the same individual can be
|
-- indidual using a tournament of the given size (the same individual can be
|
||||||
selected multiple times, see 'chain').
|
-- selected multiple times, see 'chain').
|
||||||
-}
|
|
||||||
tournament :: (Individual i, MonadRandom m) => N -> Selection m i
|
tournament :: (Individual i, MonadRandom m) => N -> Selection m i
|
||||||
tournament nTrnmnt = chain (tournament1 nTrnmnt)
|
tournament nTrnmnt = chain (tournament1 nTrnmnt)
|
||||||
|
|
||||||
prop_tournament_selectsN :: Individual a => Int -> Int -> NonEmpty a -> Property
|
prop_tournament_selectsN :: Individual a => Int -> Int -> NonEmpty a -> Property
|
||||||
prop_tournament_selectsN nTrnmnt n pop =
|
prop_tournament_selectsN nTrnmnt n pop =
|
||||||
0 < nTrnmnt && nTrnmnt < length pop
|
0 < nTrnmnt
|
||||||
&& 0 < n ==> monadicIO
|
&& nTrnmnt < length pop
|
||||||
|
&& 0 < n
|
||||||
|
==> monadicIO
|
||||||
$ do
|
$ do
|
||||||
pop' <- lift $ tournament 2 n pop
|
pop' <- lift $ tournament 2 n pop
|
||||||
assert $ length pop' == n
|
assert $ length pop' == n
|
||||||
|
|
||||||
{-|
|
-- |
|
||||||
Selects one individual from the population using tournament selection.
|
-- Selects one individual from the population using tournament selection.
|
||||||
-}
|
tournament1 ::
|
||||||
tournament1
|
(Individual i, MonadRandom m) =>
|
||||||
:: (Individual i, MonadRandom m)
|
-- | Tournament size
|
||||||
=> N
|
N ->
|
||||||
-- ^ Tournament size
|
Population i ->
|
||||||
-> Population i
|
m i
|
||||||
-> m i
|
|
||||||
tournament1 nTrnmnt pop
|
tournament1 nTrnmnt pop
|
||||||
-- TODO Use Positive for this constraint
|
-- TODO Use Positive for this constraint
|
||||||
| nTrnmnt <= 0 = undefined
|
| nTrnmnt <= 0 = undefined
|
||||||
|
@ -326,16 +320,15 @@ tournament1 nTrnmnt pop
|
||||||
where
|
where
|
||||||
trnmnt = withoutReplacement nTrnmnt pop
|
trnmnt = withoutReplacement nTrnmnt pop
|
||||||
|
|
||||||
{-|
|
-- |
|
||||||
Selects @n@ individuals uniformly at random from the population (without
|
-- Selects @n@ individuals uniformly at random from the population (without
|
||||||
replacement, so if @n >= length pop@, simply returns @pop@).
|
-- replacement, so if @n >= length pop@, simply returns @pop@).
|
||||||
-}
|
withoutReplacement ::
|
||||||
withoutReplacement
|
(MonadRandom m) =>
|
||||||
:: (MonadRandom m)
|
-- | How many individuals to select
|
||||||
=> N
|
N ->
|
||||||
-- ^ How many individuals to select
|
Population i ->
|
||||||
-> Population i
|
m (NonEmpty i)
|
||||||
-> m (NonEmpty i)
|
|
||||||
withoutReplacement 0 _ = undefined
|
withoutReplacement 0 _ = undefined
|
||||||
withoutReplacement n pop
|
withoutReplacement n pop
|
||||||
| n >= length pop = return pop
|
| n >= length pop = return pop
|
||||||
|
@ -350,23 +343,20 @@ prop_withoutReplacement_selectsN n pop =
|
||||||
|
|
||||||
-- * Termination criteria
|
-- * Termination criteria
|
||||||
|
|
||||||
{-|
|
-- |
|
||||||
Termination decisions may take into account the current population and the
|
-- Termination decisions may take into account the current population and the
|
||||||
current iteration number.
|
-- current iteration number.
|
||||||
-}
|
|
||||||
type Termination i = Population i -> N -> Bool
|
type Termination i = Population i -> N -> Bool
|
||||||
|
|
||||||
{-|
|
-- |
|
||||||
Termination after a number of steps.
|
-- Termination after a number of steps.
|
||||||
-}
|
|
||||||
steps :: N -> Termination i
|
steps :: N -> Termination i
|
||||||
steps tEnd _ t = t >= tEnd
|
steps tEnd _ t = t >= tEnd
|
||||||
|
|
||||||
-- * Helper functions
|
-- * Helper functions
|
||||||
|
|
||||||
{-|
|
-- |
|
||||||
Shuffles a non-empty list.
|
-- Shuffles a non-empty list.
|
||||||
-}
|
|
||||||
shuffle' :: (MonadRandom m) => NonEmpty a -> m (NonEmpty a)
|
shuffle' :: (MonadRandom m) => NonEmpty a -> m (NonEmpty a)
|
||||||
shuffle' xs@(_ :| []) = return xs
|
shuffle' xs@(_ :| []) = return xs
|
||||||
shuffle' xs = do
|
shuffle' xs = do
|
||||||
|
|
24
src/Main.hs
24
src/Main.hs
|
@ -1,16 +1,16 @@
|
||||||
{-# LANGUAGE FlexibleContexts #-}
|
{-# LANGUAGE FlexibleContexts #-}
|
||||||
{-# LANGUAGE NoImplicitPrelude #-}
|
|
||||||
{-# LANGUAGE OverloadedStrings #-}
|
{-# LANGUAGE OverloadedStrings #-}
|
||||||
|
{-# LANGUAGE NoImplicitPrelude #-}
|
||||||
|
|
||||||
import Options.Applicative
|
import Options.Applicative
|
||||||
import Pipes
|
import Pipes
|
||||||
import Pretty
|
import Pretty
|
||||||
import Protolude hiding (for, option)
|
import Protolude hiding (for, option)
|
||||||
import System.IO
|
import System.IO
|
||||||
import Szenario191
|
-- import Szenario212Pun
|
||||||
|
import Szenario222
|
||||||
|
|
||||||
data Options
|
data Options = Options
|
||||||
= Options
|
|
||||||
{ iterations :: N,
|
{ iterations :: N,
|
||||||
populationSize :: N
|
populationSize :: N
|
||||||
}
|
}
|
||||||
|
@ -18,14 +18,16 @@ data Options
|
||||||
options :: Parser Options
|
options :: Parser Options
|
||||||
options =
|
options =
|
||||||
Options
|
Options
|
||||||
<$> option auto
|
<$> option
|
||||||
|
auto
|
||||||
( long "iterations"
|
( long "iterations"
|
||||||
<> short 'i'
|
<> short 'i'
|
||||||
<> metavar "N"
|
<> metavar "N"
|
||||||
<> value 1000
|
<> value 1000
|
||||||
<> help "Number of iterations"
|
<> help "Number of iterations"
|
||||||
)
|
)
|
||||||
<*> option auto
|
<*> option
|
||||||
|
auto
|
||||||
( long "population-size"
|
( long "population-size"
|
||||||
<> short 'p'
|
<> short 'p'
|
||||||
<> metavar "N"
|
<> metavar "N"
|
||||||
|
@ -35,19 +37,21 @@ options =
|
||||||
|
|
||||||
optionsWithHelp :: ParserInfo Options
|
optionsWithHelp :: ParserInfo Options
|
||||||
optionsWithHelp =
|
optionsWithHelp =
|
||||||
info (helper <*> options)
|
info
|
||||||
|
(helper <*> options)
|
||||||
( fullDesc
|
( fullDesc
|
||||||
<> progDesc "Run a GA"
|
<> progDesc "Run a GA"
|
||||||
<> header "haga - Haskell implementations of EAs"
|
<> header "haga - Haskell implementations of EAs"
|
||||||
)
|
)
|
||||||
|
|
||||||
main :: IO ()
|
main :: IO ()
|
||||||
main = execParser optionsWithHelp >>= \opts -> do
|
main =
|
||||||
|
execParser optionsWithHelp >>= \opts -> do
|
||||||
hSetBuffering stdout NoBuffering
|
hSetBuffering stdout NoBuffering
|
||||||
pop <- population (populationSize opts) (I prios [])
|
pop <- population (populationSize opts) (I prios [])
|
||||||
pop' <-
|
pop' <-
|
||||||
runEffect
|
runEffect $
|
||||||
$ for (run (tournament 2) 2 1 (5 / 100) pop (steps $ iterations opts)) log
|
for (run (tournament 2) 2 1 (5 / 100) pop (steps $ iterations opts)) log
|
||||||
(res, _) <- bests 5 pop'
|
(res, _) <- bests 5 pop'
|
||||||
sequence_ $ format <$> res
|
sequence_ $ format <$> res
|
||||||
where
|
where
|
||||||
|
|
|
@ -1,5 +1,5 @@
|
||||||
{-# LANGUAGE NoImplicitPrelude #-}
|
|
||||||
{-# LANGUAGE OverloadedStrings #-}
|
{-# LANGUAGE OverloadedStrings #-}
|
||||||
|
{-# LANGUAGE NoImplicitPrelude #-}
|
||||||
|
|
||||||
module Szenario191
|
module Szenario191
|
||||||
( module Seminar,
|
( module Seminar,
|
||||||
|
|
Loading…
Reference in New Issue
Block a user