invent proper enviroment type for individual generation
This commit is contained in:
Johannes Merl
parent
62cf1acc6d
commit
0f428bea16
290
src/GA.hs
290
src/GA.hs
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@ -1,12 +1,11 @@
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{-# LANGUAGE DeriveFoldable #-}
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{-# LANGUAGE DeriveFunctor #-}
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{-# LANGUAGE DeriveTraversable #-}
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{-# LANGUAGE GeneralizedNewtypeDeriving #-}
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{-# LANGUAGE OverloadedStrings #-}
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{-# LANGUAGE TemplateHaskell #-}
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{-# LANGUAGE TupleSections #-}
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{-# LANGUAGE NoImplicitPrelude #-}
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{-# LANGUAGE MultiParamTypeClasses #-}
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-- |
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-- Module : GA
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-- Description : Abstract genetic algorithm
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@ -25,11 +24,12 @@ module GA where
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import Control.Arrow hiding (first, second)
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import Data.List.NonEmpty ((<|))
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import qualified Data.List.NonEmpty as NE
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import qualified Data.List.NonEmpty.Extra as NE (appendl, sortOn)
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import qualified Data.List.NonEmpty.Extra as NE (appendl)
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import Data.Random
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import System.Random.MWC (create)
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import Pipes
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import Protolude
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import Pretty
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import Test.QuickCheck hiding (sample, shuffle)
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import Test.QuickCheck.Instances ()
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import Test.QuickCheck.Monadic
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@ -41,33 +41,28 @@ type N = Int
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type R = Double
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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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-- 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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new :: i -> RVar i
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-- |
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-- An Environment that Individuals of type i can be created from
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-- It stores all information required to create and change Individuals correctly
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--
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class (Eq e, Pretty e, Individual i) => Environment i e where
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-- |
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-- Generates a completely random individual.
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--
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new :: e -> RVar i
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-- |
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-- Generates a random population of the given size.
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population :: N -> i -> RVar (Population i)
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population n i
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population :: e -> N -> RVar (Population i)
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population env n
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| n <= 0 = undefined
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| otherwise = NE.fromList <$> replicateM n (new i)
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| otherwise = NE.fromList <$> replicateM n (new env)
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mutate :: i -> RVar i
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mutate :: e -> i -> RVar i
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crossover1 :: i -> i -> RVar (Maybe (i, i))
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crossover1 :: e -> i -> i -> RVar (Maybe (i, i))
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-- |
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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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-- 'proportionate1').
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fitness :: i -> R
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-- |
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-- Performs an n-point crossover.
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@ -75,24 +70,28 @@ class Eq i => Individual i where
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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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-- implementation).
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crossover :: N -> i -> i -> RVar (Maybe (i, i))
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crossover n i1 i2
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crossover :: e -> N -> i -> i -> RVar (Maybe (i, i))
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crossover env n i1 i2
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| n <= 0 = return $ Just (i1, i2)
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| otherwise = do
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isM <- crossover1 i1 i2
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maybe (return Nothing) (uncurry (crossover (n - 1))) isM
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isM <- crossover1 env i1 i2
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maybe (return Nothing) (uncurry (crossover env (n - 1))) isM
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-- |
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-- Needed for QuickCheck tests, for now, a very simplistic implementation should
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-- suffice.
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instance Individual Integer where
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new _ = uniform 0 (0 + 100000)
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-- An Evaluator that Individuals of type i can be evaluated by
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-- It stores all information required to evaluate an individuals fitness
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--
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class (Eq e, Individual i) => Evaluator i e where
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-- |
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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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-- 'proportionate1').
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fitness :: e -> i -> R
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mutate i = uniform (i - 10) (i + 10)
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class (Pretty i, Eq i) => Individual i
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crossover1 i1 i2 = return $ Just (i1 - i2, i2 - i1)
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fitness = fromIntegral . negate
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-- |
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-- Populations are just basic non-empty lists.
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@ -101,32 +100,24 @@ type Population i = NonEmpty i
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-- |
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-- Produces offspring circularly from the given list of parents.
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children ::
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(Individual i) =>
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(Individual i, Environment i e) =>
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e ->
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-- | The @nX@ of the @nX@-point crossover operator
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N ->
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NonEmpty i ->
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RVar (NonEmpty i)
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children _ (i :| []) = (:| []) <$> mutate i
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children nX (i1 :| [i2]) = children2 nX i1 i2
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children nX (i1 :| i2 : is') =
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(<>) <$> children2 nX i1 i2 <*> children nX (NE.fromList is')
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children e _ (i :| []) = (:| []) <$> mutate e i
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children e nX (i1 :| [i2]) = children2 e nX i1 i2
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children e nX (i1 :| i2 : is') =
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(<>) <$> children2 e nX i1 i2 <*> children e nX (NE.fromList is')
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prop_children_asManyAsParents ::
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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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again $
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monadicIO $
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do
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mwc <- Test.QuickCheck.Monadic.run create
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is' <- Test.QuickCheck.Monadic.run $ sampleFrom mwc (children nX is)
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return $ counterexample (show is') $ length is' == length is
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children2 :: (Individual i) => N -> i -> i -> RVar (NonEmpty i)
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children2 nX i1 i2 = do
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children2 :: (Individual i, Environment i e) => e -> N -> i -> i -> RVar (NonEmpty i)
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children2 e nX i1 i2 = do
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-- TODO Add crossover probability?
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(i3, i4) <- fromMaybe (i1, i2) <$> crossover nX i1 i2
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i5 <- mutate i3
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i6 <- mutate i4
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(i3, i4) <- fromMaybe (i1, i2) <$> crossover e nX i1 i2
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i5 <- mutate e i3
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i6 <- mutate e i4
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return $ i5 :| [i6]
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-- |
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@ -153,31 +144,16 @@ bestsBy' k f pop
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| k <= 0 = bestsBy' 1 f pop
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| otherwise = NE.take k $ map fst $ NE.sortBy (comparing (Down . snd)) $ map (\i -> (i, f i)) pop
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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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k > 0 ==>
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monadicIO $
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do
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let a = fst $ bestsBy k fitness pop
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let b = bestsBy' k fitness pop
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assert $ NE.toList a == b
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prop_bestsBy_lengths :: Individual a => Int -> Population a -> Property
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prop_bestsBy_lengths k pop =
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k > 0 ==> monadicIO $ do
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let (bests, rest) = bestsBy k fitness pop
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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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-- |
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-- The @k@ worst individuals in the population (and the rest of the population).
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worst :: (Individual i) => N -> Population i -> (NonEmpty i, [i])
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worst k pop = bestsBy k (negate . fitness) pop
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worst :: (Individual i, Evaluator i e) => e -> N -> Population i -> (NonEmpty i, [i])
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worst e k = bestsBy k (negate . fitness e)
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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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bests :: (Individual i) => N -> Population i -> (NonEmpty i, [i])
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bests k pop = bestsBy k fitness pop
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bests :: (Individual i, Evaluator i e) => e -> N -> Population i -> (NonEmpty i, [i])
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bests e k = bestsBy k (fitness e)
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-- TODO add top x percent parent selection (select n guys, sort by fitness first)
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@ -188,7 +164,9 @@ bests k pop = bestsBy k fitness pop
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-- elitist, even if the percentage is 0 or low enough for rounding to result in 0
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-- elitists).
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stepSteady ::
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(Individual i) =>
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(Individual i, Evaluator i eval, Environment i env ) =>
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eval ->
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env ->
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-- | Mechanism for selecting parents
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Selection RVar i ->
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-- | Number of parents @nParents@ for creating @nParents@ children
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@ -199,46 +177,34 @@ stepSteady ::
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R ->
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Population i ->
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RVar (Population i)
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stepSteady select nParents nX pElite pop = do
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stepSteady eval env 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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-- only reevaluate iChildren)
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iParents <- select nParents pop
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iChildren <- NE.filter (`notElem` pop) <$> children nX iParents
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iChildren <- NE.filter (`notElem` pop) <$> children env nX iParents
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let pop' = pop `NE.appendl` iChildren
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let eliteSize = floor . (pElite *) . fromIntegral $ NE.length pop
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let (elitists, rest) = bests eliteSize pop'
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let (elitists, rest) = bests eval eliteSize pop'
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case rest of
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[] -> return elitists
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otherwise ->
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_notEmpty ->
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-- NOTE 'bests' always returns at least one individual, thus we need this
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-- slightly ugly branching
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if length elitists == length pop
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then return elitists
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else
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return $ elitists <> (fst $ bests (length pop - length elitists) (NE.fromList rest))
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prop_stepSteady_constantPopSize ::
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(Individual a, Show a) => NonEmpty a -> Property
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prop_stepSteady_constantPopSize pop =
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forAll
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( (,)
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<$> choose (1, length pop)
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<*> choose (1, length pop)
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)
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$ \(nParents, nX) -> monadicIO $ do
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let pElite = 0.1
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mwc <- Test.QuickCheck.Monadic.run create
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pop' <- Test.QuickCheck.Monadic.run $ sampleFrom mwc (stepSteady (tournament 4) nParents nX pElite pop)
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return . counterexample (show pop') $ length pop' == length pop
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return $ elitists <> (fst $ bests eval (length pop - length elitists) (NE.fromList rest))
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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 Enviroment and Evaluator, runs the GA until the termination criterion is
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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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-- solution.
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run ::
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(Individual i) =>
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(Individual i, Evaluator i eval, Environment i env ) =>
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eval ->
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env ->
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-- | Mechanism for selecting parents
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Selection RVar i ->
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-- | Number of parents @nParents@ for creating @nParents@ children
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@ -247,21 +213,22 @@ run ::
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N ->
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-- | Elitism ratio @pElite@
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R ->
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RVar (Population i) ->
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-- | Population size
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N ->
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Termination i ->
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Producer (Int, R) IO (Population i)
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run select nParents nX pElite pop term = do
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run eval env select nParents nX pElite nPop term = do
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mwc <- lift create
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let x = \currPop generation -> do
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currPop' <- lift $ sampleFrom mwc $ currPop
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if term currPop' generation
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then return currPop'
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else do
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let nextPop = stepSteady select nParents nX pElite currPop'
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let fBest = fitness $ NE.head $ fst $ bests 1 currPop'
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let nextPop = stepSteady eval env select nParents nX pElite currPop'
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let fBest = fitness eval $ NE.head $ fst $ bests eval 1 currPop'
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Pipes.yield (generation, fBest)
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x nextPop (generation + 1)
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x pop 0
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x (population env nPop) 0
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-- * Selection mechanisms
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@ -289,34 +256,24 @@ chain select1 n pop
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-- Selects @n@ individuals from the population by repeatedly selecting a single
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-- indidual using a tournament of the given size (the same individual can be
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-- selected multiple times, see 'chain').
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tournament :: (Individual i) => N -> Selection RVar i
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tournament nTrnmnt = chain (tournament1 nTrnmnt)
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prop_tournament_selectsN :: Individual a => Int -> Int -> NonEmpty a -> Property
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prop_tournament_selectsN nTrnmnt n pop =
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0 < nTrnmnt
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&& nTrnmnt < length pop
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&& 0 < n
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==> monadicIO
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$ do
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mwc <- Test.QuickCheck.Monadic.run create
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pop' <- Test.QuickCheck.Monadic.run $ sampleFrom mwc (tournament 2 n pop)
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assert $ length pop' == n
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tournament :: (Individual i, Evaluator i e) => e -> N -> Selection RVar i
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tournament eval nTrnmnt = chain (tournament1 eval nTrnmnt)
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-- |
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-- Selects one individual from the population using tournament selection.
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tournament1 ::
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(Individual i) =>
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(Individual i, Evaluator i e) =>
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e ->
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-- | Tournament size
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N ->
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Population i ->
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RVar i
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tournament1 nTrnmnt pop
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tournament1 eval nTrnmnt pop
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-- TODO Use Positive for this constraint
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| nTrnmnt <= 0 = undefined
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| otherwise = do
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paricipants <- withoutReplacement nTrnmnt pop
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return $ NE.head $ fst $ bests 1 paricipants
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return $ NE.head $ fst $ bests eval 1 paricipants
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-- |
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-- Selects @n@ individuals uniformly at random from the population (without
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@ -331,13 +288,6 @@ withoutReplacement n pop
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| n >= length pop = return pop
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| otherwise = fmap (NE.fromList) (shuffleNofM n (length pop) (NE.toList pop))
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prop_withoutReplacement_selectsN :: Int -> NonEmpty a -> Property
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prop_withoutReplacement_selectsN n pop =
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0 < n && n <= length pop ==> monadicIO (do
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mwc <- Test.QuickCheck.Monadic.run create
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pop' <- Test.QuickCheck.Monadic.run $ sampleFrom mwc (withoutReplacement n pop)
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assert $ length pop' == n)
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-- * Termination criteria
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-- |
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@ -358,13 +308,105 @@ shuffle' :: NonEmpty a -> RVar (NonEmpty a)
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shuffle' xs@(_ :| []) = return xs
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shuffle' xs = fmap (NE.fromList) (shuffle (toList xs))
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instance Pretty Integer where
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pretty i = "Found int: " <> show i
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instance Individual Integer
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newtype IntTestEnviroment = IntTestEnviroment ((Integer,Integer),Integer) deriving (Eq) -- IntTestEnviroment ((0,100000),10)
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instance Pretty IntTestEnviroment where
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-- instance Pretty (Maybe Student) where
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pretty (IntTestEnviroment ((i,j),k)) = "IntTestEnviroment of Individuals between " <> (show i) <> " and " <> (show j) <> " variance when mutating is " <> (show k)
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instance Environment Integer IntTestEnviroment where
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new (IntTestEnviroment ((from,to),_)) = uniform from to
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mutate (IntTestEnviroment ((from,to),wiggle)) i = uniform (max from (i - wiggle)) (min to (i + wiggle))
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crossover1 _ i1 i2 = do
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i1' <- uniform i1 i2
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i2' <- uniform i1 i2
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return $ Just (i1',i2')
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data NoData = NoData deriving (Eq)
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instance Evaluator Integer NoData where
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fitness _ = fromIntegral . negate
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prop_children_asManyAsParents ::
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N -> NonEmpty Integer -> Property
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prop_children_asManyAsParents nX is =
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again $
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monadicIO $
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do
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let e = IntTestEnviroment ((0,100000),10)
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mwc <- Test.QuickCheck.Monadic.run create
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is' <- Test.QuickCheck.Monadic.run $ sampleFrom mwc (children e nX is)
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return $ counterexample (show is') $ length is' == length is
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prop_bestsBy_isBestsBy' :: Int -> Population Integer -> Property
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prop_bestsBy_isBestsBy' k pop =
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k > 0 ==>
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monadicIO $
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do
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let a = fst $ bestsBy k (fitness NoData) pop
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let b = bestsBy' k (fitness NoData) pop
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assert $ NE.toList a == b
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prop_bestsBy_lengths :: Int -> Population Integer -> Property
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prop_bestsBy_lengths k pop =
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k > 0 ==> monadicIO $ do
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let (bests, rest) = bestsBy k (fitness NoData) pop
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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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prop_stepSteady_constantPopSize ::
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NonEmpty Integer -> Property
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prop_stepSteady_constantPopSize pop =
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forAll
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( (,)
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<$> choose (1, length pop)
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<*> choose (1, length pop)
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)
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$ \(nParents, nX) -> monadicIO $ do
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let pElite = 0.1
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let eval = NoData
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let env = IntTestEnviroment ((0,100000),10)
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mwc <- Test.QuickCheck.Monadic.run create
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pop' <- Test.QuickCheck.Monadic.run $ sampleFrom mwc (stepSteady eval env (tournament eval 4) nParents nX pElite pop)
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return . counterexample (show pop') $ length pop' == length pop
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prop_tournament_selectsN :: Int -> Int -> NonEmpty Integer -> Property
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prop_tournament_selectsN nTrnmnt n pop =
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0 < nTrnmnt
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&& nTrnmnt < length pop
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&& 0 < n
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==> monadicIO
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$ do
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mwc <- Test.QuickCheck.Monadic.run create
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pop' <- Test.QuickCheck.Monadic.run $ sampleFrom mwc (tournament NoData 2 n pop)
|
||||
assert $ length pop' == n
|
||||
|
||||
prop_withoutReplacement_selectsN :: Int -> NonEmpty a -> Property
|
||||
prop_withoutReplacement_selectsN n pop =
|
||||
0 < n && n <= length pop ==> monadicIO (do
|
||||
mwc <- Test.QuickCheck.Monadic.run create
|
||||
pop' <- Test.QuickCheck.Monadic.run $ sampleFrom mwc (withoutReplacement n pop)
|
||||
assert $ length pop' == n)
|
||||
|
||||
prop_shuffle_length :: NonEmpty a -> Property
|
||||
prop_shuffle_length xs = monadicIO(do
|
||||
mwc <- Test.QuickCheck.Monadic.run create
|
||||
xs' <- Test.QuickCheck.Monadic.run $ sampleFrom mwc (shuffle' xs)
|
||||
assert $ length xs' == length xs)
|
||||
|
||||
return []
|
||||
|
||||
runTests :: IO Bool
|
||||
runTests = $quickCheckAll
|
||||
|
||||
return []
|
||||
|
|
|
|||
11
src/Main.hs
11
src/Main.hs
|
|
@ -48,14 +48,15 @@ main :: IO ()
|
|||
main =
|
||||
execParser optionsWithHelp >>= \opts -> do
|
||||
hSetBuffering stdout NoBuffering
|
||||
let pop = population (populationSize opts) (I prios [])
|
||||
let env = AssignmentEnviroment (students prios, topics prios)
|
||||
let run' = run prios env (tournament prios 2) 2 1 (5 / 100) (populationSize opts) (steps (iterations opts)) :: Producer (Int, R) IO (Population Assignment)
|
||||
pop' <-
|
||||
runEffect (for (run (tournament 2) 2 1 (5 / 100) pop (steps (iterations opts))) logCsv)
|
||||
let (res, _) = bests 5 pop'
|
||||
sequence_ $ format <$> res
|
||||
runEffect (for run' logCsv)
|
||||
let (res, _) = bests prios 5 pop'
|
||||
mapM_ format res
|
||||
where
|
||||
format s = do
|
||||
let f = fitness s
|
||||
let f = fitness prios s
|
||||
putErrText $ show f <> "\n" <> pretty s
|
||||
logCsv = putText . csv
|
||||
csv (t, f) = show t <> " " <> show f
|
||||
|
|
|
|||
104
src/Seminar.hs
104
src/Seminar.hs
|
|
@ -2,6 +2,7 @@
|
|||
{-# LANGUAGE OverloadedStrings #-}
|
||||
{-# LANGUAGE TemplateHaskell #-}
|
||||
{-# LANGUAGE NoImplicitPrelude #-}
|
||||
{-# LANGUAGE MultiParamTypeClasses #-}
|
||||
|
||||
module Seminar where
|
||||
|
||||
|
|
@ -98,45 +99,27 @@ lowestPriority = fromMaybe 0 . maximumMay . fmap snd . join . fmap snd . unP
|
|||
|
||||
type Assignment = [(Maybe Student, Maybe Topic)]
|
||||
|
||||
data I = I Priorities Assignment
|
||||
deriving (Eq, Show)
|
||||
instance Individual Assignment
|
||||
|
||||
instance Pretty I where
|
||||
pretty (I p a) =
|
||||
T.unlines (gene <$> a)
|
||||
where
|
||||
gene :: (Maybe Student, Maybe Topic) -> Text
|
||||
gene (s, t) =
|
||||
pretty s <> ": " <> pretty t <> prio s t
|
||||
prio :: Maybe Student -> Maybe Topic -> Text
|
||||
prio s t = " (" <> show (prioOf' p s t) <> ")"
|
||||
newtype AssignmentEnviroment = AssignmentEnviroment ([Student],[Topic]) deriving Eq
|
||||
|
||||
-- |
|
||||
-- The priority value given by a student to a topic including the case of her not
|
||||
-- receiving a topic.
|
||||
prioOf' :: Priorities -> Maybe Student -> Maybe Topic -> Int
|
||||
-- TODO Maybe make this neutral?
|
||||
prioOf' p Nothing Nothing = lowestPriority p + 2
|
||||
prioOf' p (Just s) Nothing = lowestPriority p + 2
|
||||
prioOf' p Nothing (Just t) = lowestPriority p + 2
|
||||
prioOf' p (Just s) (Just t) = prioOf p s t
|
||||
instance Pretty AssignmentEnviroment where
|
||||
pretty (AssignmentEnviroment (persons,assignables)) = "Persons: " <> show persons <> " Assignables: " <> show assignables
|
||||
|
||||
instance Individual I where
|
||||
new (I p _) =
|
||||
I p . zip students' <$> shuffle topics'
|
||||
where
|
||||
topics' = (Just <$> topics p) ++ tPadding
|
||||
tPadding = replicate (length (students p) - length (topics p)) Nothing
|
||||
students' = (Just <$> students p) ++ sPadding
|
||||
sPadding = replicate (length (topics p) - length (students p)) Nothing
|
||||
instance Environment Assignment AssignmentEnviroment where
|
||||
new (AssignmentEnviroment (persons,assignables)) = do
|
||||
let aPadding = replicate (length persons - length assignables) Nothing
|
||||
let paddedAssignables = (Just <$> assignables) ++ aPadding
|
||||
let pPadding = replicate (length assignables - length persons) Nothing
|
||||
let paddedPersons = (Just <$> persons) ++ pPadding
|
||||
|
||||
fitness (I p a) =
|
||||
negate . sum $ fromIntegral . uncurry (prioOf' p) <$> a
|
||||
mixedAssignables <- shuffle paddedAssignables
|
||||
return $ zip paddedPersons mixedAssignables
|
||||
|
||||
mutate (I p a) = do
|
||||
x <- uniform 0 (length a - 1)
|
||||
y <- uniform 0 (length a - 1)
|
||||
return . I p $ switch x y a
|
||||
mutate _ assignment = do
|
||||
x <- uniform 0 (length assignment - 1)
|
||||
y <- uniform 0 (length assignment - 1)
|
||||
return $ switch x y assignment
|
||||
|
||||
-- \|
|
||||
-- Borrowed from TSP: Crossover cuts the parents in two and swaps them (if this
|
||||
|
|
@ -144,31 +127,50 @@ instance Individual I where
|
|||
--
|
||||
-- TODO Assumes that both individuals are based on the same priorities.
|
||||
--
|
||||
crossover1 (I p a1) (I _ a2) = do
|
||||
let l = fromIntegral $ min (length a1) (length a2) :: Double
|
||||
crossover1 e assignment1 assignment2 = do
|
||||
let l = fromIntegral $ min (length assignment1) (length assignment2) :: Double
|
||||
x <- uniform 0 l
|
||||
let a1' = zipWith3 (f x) a1 a2 [0 ..]
|
||||
let a2' = zipWith3 (f x) a2 a1 [0 ..]
|
||||
if valid p a1' && valid p a2'
|
||||
then return . Just $ (I p a1', I p a2')
|
||||
let assignment1' = zipWith3 (f x) assignment1 assignment2 [0 ..]
|
||||
let assignment2' = zipWith3 (f x) assignment2 assignment1 [0 ..]
|
||||
if valid e assignment1' && valid e assignment2'
|
||||
then return . Just $ ( assignment1', assignment2')
|
||||
else return Nothing
|
||||
where
|
||||
f x v1 v2 i = if i <= x then v1 else v2
|
||||
|
||||
|
||||
instance Pretty Assignment where
|
||||
pretty (a) =
|
||||
T.unlines (gene <$> a)
|
||||
where
|
||||
gene :: (Maybe Student, Maybe Topic) -> Text
|
||||
gene (s, t) =
|
||||
pretty s <> ": " <> pretty t
|
||||
|
||||
-- |
|
||||
-- The priority value given by a student to a topic including the case of her not
|
||||
-- receiving a topic.
|
||||
prioOf' :: Priorities -> Maybe Student -> Maybe Topic -> Int
|
||||
-- TODO Maybe make this neutral?
|
||||
prioOf' p Nothing Nothing = lowestPriority p + 2
|
||||
prioOf' p (Just _) Nothing = lowestPriority p + 2
|
||||
prioOf' p Nothing (Just _) = lowestPriority p + 2
|
||||
prioOf' p (Just s) (Just t) = prioOf p s t
|
||||
|
||||
instance Evaluator Assignment Priorities where
|
||||
fitness prio assment =
|
||||
negate . sum $ fromIntegral . uncurry (prioOf' prio) <$> assment
|
||||
|
||||
-- |
|
||||
-- Swaps topics at positions 'i'' and 'j'' in the given assignment.
|
||||
switch :: Int -> Int -> Assignment -> Assignment
|
||||
switch i' j' xs
|
||||
| i' == j' = xs
|
||||
| 0 <= i' && i' < length xs && 0 <= j' && j' < length xs =
|
||||
let i = min i' j'
|
||||
j = max i' j'
|
||||
ei = xs !! i
|
||||
ej = xs !! j
|
||||
left = take i xs
|
||||
middle = take (j - i - 1) $ drop (i + 1) xs
|
||||
right = drop (j + 1) xs
|
||||
in left ++ [(fst ei, snd ej)] ++ middle ++ [(fst ej, snd ei)] ++ right
|
||||
zipWith (\ind y ->
|
||||
if ind == i' then (fst y, snd (xs !! j'))
|
||||
else if ind == j' then (fst y, snd (xs !! i'))
|
||||
else y) [0..] xs
|
||||
| otherwise = xs
|
||||
|
||||
-- |
|
||||
|
|
@ -177,10 +179,10 @@ switch i' j' xs
|
|||
-- less topics than students).
|
||||
--
|
||||
-- Assumes that the priorities are well-formed.
|
||||
valid :: Priorities -> Assignment -> Bool
|
||||
valid p a =
|
||||
valid :: AssignmentEnviroment -> Assignment -> Bool
|
||||
valid (AssignmentEnviroment (persons,assignables)) a =
|
||||
-- all students must be part of the solution
|
||||
sort (students p) == (catMaybes $ sort studentsAssigned)
|
||||
sort (persons) == (catMaybes $ sort studentsAssigned)
|
||||
-- each actual topic (i.e. not “no topic”) is assigned at most once
|
||||
&& nubOrd (delete Nothing topicsAssigned) == delete Nothing topicsAssigned
|
||||
where
|
||||
|
|
|
|||
Loading…
Reference in New Issue
Block a user