From cd16dbb39bcd0d72f3808e1ac99482fb8b54e8dd Mon Sep 17 00:00:00 2001 From: Stefan Dresselhaus Date: Mon, 7 May 2018 00:44:12 +0200 Subject: [PATCH] Tree generates arbitrary compounds (needs rename -.-) --- Makefile | 6 ++ app/Main.hs | 28 +++-- exampleGraph.png | Bin 0 -> 1612478 bytes exampleGraph.twopi | 103 +++++++++++++++++++ src/{Arbitrary.hs => ArbitraryEnzymeTree.hs} | 41 +++++++- src/Environment.hs | 42 ++++---- 6 files changed, 185 insertions(+), 35 deletions(-) create mode 100644 exampleGraph.png create mode 100644 exampleGraph.twopi rename src/{Arbitrary.hs => ArbitraryEnzymeTree.hs} (59%) diff --git a/Makefile b/Makefile index 3a5e798..a017163 100644 --- a/Makefile +++ b/Makefile @@ -1,6 +1,12 @@ .PHONY: run pdf ghci INPUT = sketch.md.lhs +TWOPIS = $(wildcard *.twopi) + +png: $(TWOPIS:.twopi=.png) + +%.png : %.twopi + twopi -Tpng -Goverlap=scale -o $@ $< pdf: $(INPUT) pandoc -f markdown+lhs+smart+emoji -H make-code-footnotesize.tex \ diff --git a/app/Main.hs b/app/Main.hs index f89563e..512b538 100644 --- a/app/Main.hs +++ b/app/Main.hs @@ -1,8 +1,5 @@ -{-# LANGUAGE TypeApplications #-} - module Main where -import Environment import Text.Printf import Control.Monad.Reader import Numeric.LinearAlgebra @@ -12,6 +9,8 @@ import Control.Concurrent import qualified Debug.Trace as Debug import System.IO +import ArbitraryEnzymeTree +import Environment -- Example definitions -- ------------------- @@ -31,8 +30,8 @@ greenfly = Predator [] 0.2 -- killed by any toxic Component -- Environment -exampleEnvironment :: Environment -exampleEnvironment = +exampleEnvironment :: Int -> [Enzyme] -> Environment +exampleEnvironment addedC es = Environment { soil = [ (Nitrate, 2) , (Phosphor, 3) @@ -40,9 +39,9 @@ exampleEnvironment = ] , predators = [ (greenfly, 0.1) ] , metabolismIteration = 100 - , maxCompound = maxCompoundWithoutGeneric + , maxCompound = maxCompoundWithoutGeneric + addedC , toxicCompounds = [(Produced FPP,0.5)] --FPP kills 100% if produced amount above 0.2 units - , possibleEnzymes = [pps,fpps] + , possibleEnzymes = [pps,fpps] ++ es } -- Plants @@ -111,10 +110,12 @@ main :: IO () main = do hSetBuffering stdin NoBuffering hSetBuffering stdout NoBuffering - let emptyPlants = replicate 100 emptyPlant - printEnvironment exampleEnvironment + randomCompounds <- generateTreeFromList 10 (toEnum <$> [(maxCompoundWithoutGeneric+1)..] :: [Compound]) -- generate roughly 10 compounds + let env = exampleEnvironment (getTreeSize randomCompounds) (generateEnzymeFromTree randomCompounds) + emptyPlants = replicate 100 emptyPlant + printEnvironment env putStr "\ESC[?1049h" - loop 100 emptyPlants exampleEnvironment + loop 100 emptyPlants env putStrLn "Simulation ended. Press key to exit." _ <- getChar putStr "\ESC[?1049l" @@ -170,3 +171,10 @@ printColor x c colorOff :: String colorOff = "\ESC[0m" + +generateEnzymeFromTree :: EnzymeTree s Compound -> [Enzyme] +generateEnzymeFromTree t = (makeSimpleEnzyme c . getElement <$> sts) + ++ concatMap generateEnzymeFromTree sts + where + c = getElement t + sts = getSubTrees t diff --git a/exampleGraph.png b/exampleGraph.png new file mode 100644 index 0000000000000000000000000000000000000000..b36c5738443c2a59cad54eba787fbbc37e2b0bfe GIT binary patch literal 1612478 zcmafc30%#2_kZ*F4bK?M7`r4($WkFnyBU&O6onRT6AGn9`(87~PI0BA&C()mluBBS zCG8X~T4_W3zSsYK?zoH5^ZNV!p4V---TV1|mUG_cectDM&h1uJnmT#GWIjH=sf-=l z)cN@MC-L#kT=3tC_?w$UCzbIs(MUyU8{ZiH-_6vpt9*Qm`54=N*=z6LTIQ5rxN1Ly4t!K+kXFUX4cP7c8lpL%3fcY_wzO3@LJ2R;;h~cDowggj`0sw=AV9d ze0^fdF=3r(_oO9@&o6x`y*M{xUB;BIk&)L0QcE9s@Q4UgIkz5r7Z(?a&f7O{f*(HIxM|a-@Vj?+ z;1}-QyQi+9arMTH8+-Tdi}y(FEDKTbv2H3BseEjs($`w4v48*m=Hu)y=Dap{D^G3< 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zcuT~TneUdqa7%1D|4dnw9Bq2XuFEa7eUrMESy*LQmCDotn5yS1*HBvBN2;cv{S%BY zT|21T{*8*)yzf-)!}ecn`cT`{C* { "Substrate Nitrate" "GenericEnzyme 15" "GenericEnzyme 37" "GenericEnzyme 55" "GenericEnzyme 75" }; + "Substrate Nitrate" -> { "Substrate Photosynthesis" "GenericEnzyme 6" }; + "Substrate Photosynthesis" -> { "Produced PP" "GenericEnzyme 1" }; + "Produced PP" -> { "Produced FPP" "GenericEnzyme 0" }; + "Produced FPP" -> { }; + "GenericEnzyme 0" -> { }; + "GenericEnzyme 1" -> { "GenericEnzyme 2" "GenericEnzyme 3" "GenericEnzyme 4" "GenericEnzyme 5" }; + "GenericEnzyme 2" -> { }; + "GenericEnzyme 3" -> { }; + "GenericEnzyme 4" -> { }; + "GenericEnzyme 5" -> { }; + "GenericEnzyme 6" -> { "GenericEnzyme 7" "GenericEnzyme 9" "GenericEnzyme 10" "GenericEnzyme 11" "GenericEnzyme 13" "GenericEnzyme 14" }; + "GenericEnzyme 7" -> { "GenericEnzyme 8" }; + "GenericEnzyme 8" -> { }; + "GenericEnzyme 9" -> { }; + "GenericEnzyme 10" -> { }; + "GenericEnzyme 11" -> { "GenericEnzyme 12" }; + "GenericEnzyme 12" -> { }; + "GenericEnzyme 13" -> { }; + "GenericEnzyme 14" -> { }; + "GenericEnzyme 15" -> { "GenericEnzyme 16" "GenericEnzyme 19" "GenericEnzyme 22" "GenericEnzyme 27" "GenericEnzyme 32" }; + "GenericEnzyme 16" -> { "GenericEnzyme 17" "GenericEnzyme 18" }; + "GenericEnzyme 17" -> { }; + "GenericEnzyme 18" -> { }; + "GenericEnzyme 19" -> { "GenericEnzyme 20" "GenericEnzyme 21" }; + "GenericEnzyme 20" -> { }; + "GenericEnzyme 21" -> { }; + "GenericEnzyme 22" -> { "GenericEnzyme 23" "GenericEnzyme 24" "GenericEnzyme 26" }; + "GenericEnzyme 23" -> { }; + "GenericEnzyme 24" -> { "GenericEnzyme 25" }; + "GenericEnzyme 25" -> { }; + "GenericEnzyme 26" -> { }; + "GenericEnzyme 27" -> { "GenericEnzyme 28" "GenericEnzyme 30" }; + "GenericEnzyme 28" -> { "GenericEnzyme 29" }; + "GenericEnzyme 29" -> { }; + "GenericEnzyme 30" -> { "GenericEnzyme 31" }; + "GenericEnzyme 31" -> { }; + "GenericEnzyme 32" -> { "GenericEnzyme 33" "GenericEnzyme 34" }; + "GenericEnzyme 33" -> { }; + "GenericEnzyme 34" -> { "GenericEnzyme 35" }; + "GenericEnzyme 35" -> { "GenericEnzyme 36" }; + "GenericEnzyme 36" -> { }; + "GenericEnzyme 37" -> { "GenericEnzyme 38" "GenericEnzyme 47" }; + "GenericEnzyme 38" -> { "GenericEnzyme 39" "GenericEnzyme 40" "GenericEnzyme 43" "GenericEnzyme 46" }; + "GenericEnzyme 39" -> { }; + "GenericEnzyme 40" -> { "GenericEnzyme 41" }; + "GenericEnzyme 41" -> { "GenericEnzyme 42" }; + "GenericEnzyme 42" -> { }; + "GenericEnzyme 43" -> { "GenericEnzyme 44" }; + "GenericEnzyme 44" -> { "GenericEnzyme 45" }; + "GenericEnzyme 45" -> { }; + "GenericEnzyme 46" -> { }; + "GenericEnzyme 47" -> { "GenericEnzyme 48" "GenericEnzyme 49" "GenericEnzyme 50" "GenericEnzyme 51" }; + "GenericEnzyme 48" -> { }; + "GenericEnzyme 49" -> { }; + "GenericEnzyme 50" -> { }; + "GenericEnzyme 51" -> { "GenericEnzyme 52" "GenericEnzyme 53" }; + "GenericEnzyme 52" -> { }; + "GenericEnzyme 53" -> { "GenericEnzyme 54" }; + "GenericEnzyme 54" -> { }; + "GenericEnzyme 55" -> { "GenericEnzyme 56" "GenericEnzyme 59" "GenericEnzyme 64" "GenericEnzyme 67" "GenericEnzyme 72" }; + "GenericEnzyme 56" -> { "GenericEnzyme 57" "GenericEnzyme 58" }; + "GenericEnzyme 57" -> { }; + "GenericEnzyme 58" -> { }; + "GenericEnzyme 59" -> { "GenericEnzyme 60" "GenericEnzyme 63" }; + "GenericEnzyme 60" -> { "GenericEnzyme 61" "GenericEnzyme 62" }; + "GenericEnzyme 61" -> { }; + "GenericEnzyme 62" -> { }; + "GenericEnzyme 63" -> { }; + "GenericEnzyme 64" -> { "GenericEnzyme 65" "GenericEnzyme 66" }; + "GenericEnzyme 65" -> { }; + "GenericEnzyme 66" -> { }; + "GenericEnzyme 67" -> { "GenericEnzyme 68" "GenericEnzyme 69" "GenericEnzyme 70" "GenericEnzyme 71" }; + "GenericEnzyme 68" -> { }; + "GenericEnzyme 69" -> { }; + "GenericEnzyme 70" -> { }; + "GenericEnzyme 71" -> { }; + "GenericEnzyme 72" -> { "GenericEnzyme 73" "GenericEnzyme 74" }; + "GenericEnzyme 73" -> { }; + "GenericEnzyme 74" -> { }; + "GenericEnzyme 75" -> { "GenericEnzyme 76" "GenericEnzyme 85" }; + "GenericEnzyme 76" -> { "GenericEnzyme 77" "GenericEnzyme 78" "GenericEnzyme 79" "GenericEnzyme 80" "GenericEnzyme 82" "GenericEnzyme 84" }; + "GenericEnzyme 77" -> { }; + "GenericEnzyme 78" -> { }; + "GenericEnzyme 79" -> { }; + "GenericEnzyme 80" -> { "GenericEnzyme 81" }; + "GenericEnzyme 81" -> { }; + "GenericEnzyme 82" -> { "GenericEnzyme 83" }; + "GenericEnzyme 83" -> { }; + "GenericEnzyme 84" -> { }; + "GenericEnzyme 85" -> { "GenericEnzyme 86" "GenericEnzyme 91" }; + "GenericEnzyme 86" -> { "GenericEnzyme 87" "GenericEnzyme 88" "GenericEnzyme 89" }; + "GenericEnzyme 87" -> { }; + "GenericEnzyme 88" -> { }; + "GenericEnzyme 89" -> { "GenericEnzyme 90" }; + "GenericEnzyme 90" -> { }; + "GenericEnzyme 91" -> { "GenericEnzyme 92" "GenericEnzyme 93" "GenericEnzyme 95" }; + "GenericEnzyme 92" -> { }; + "GenericEnzyme 93" -> { "GenericEnzyme 94" }; + "GenericEnzyme 94" -> { }; + "GenericEnzyme 95" -> { }; +} diff --git a/src/Arbitrary.hs b/src/ArbitraryEnzymeTree.hs similarity index 59% rename from src/Arbitrary.hs rename to src/ArbitraryEnzymeTree.hs index d133dfb..4940185 100644 --- a/src/Arbitrary.hs +++ b/src/ArbitraryEnzymeTree.hs @@ -2,12 +2,24 @@ {-# LANGUAGE DeriveFoldable #-} {-# LANGUAGE DeriveTraversable #-} {-# LANGUAGE DeriveGeneric #-} -module Arbitrary where +{-# LANGUAGE OverloadedStrings #-} +module ArbitraryEnzymeTree + ( EnzymeTree + , getTreeSize + , getElement + , getShape + , getSubTrees + , treeFromList + , generateTreeFromList + , generateDotFromTree + ) where import Test.QuickCheck -import GHC.Generics (Generic(..)) +import GHC.Generics (Generic()) import Text.Pretty.Simple import Data.List +import Data.String (IsString(..)) +import Data.Monoid data TreeShape = Root { treeSize :: Int @@ -46,9 +58,34 @@ getTreeSize (EnzymeTree (Root a _) _ _) = a getShape :: EnzymeTree s a -> TreeShape getShape (EnzymeTree s _ _) = s +getElement :: EnzymeTree s a -> a +getElement (EnzymeTree _ e _) = e + +getSubTrees :: EnzymeTree s a -> [EnzymeTree TreeShape a] +getSubTrees (EnzymeTree _ _ s) = s + treeFromList :: TreeShape -> [a] -> EnzymeTree s a treeFromList (Root n ns) (a:as) = EnzymeTree (Root n ns) a (unfoldr go (ns,as)) where go :: ([TreeShape],[a]) -> Maybe (EnzymeTree s a,([TreeShape],[a])) go (n:ns,as) = Just (treeFromList n (take (treeSize n) as), (ns, drop (treeSize n) as)) go ([],_) = Nothing + +generateTreeFromList :: Int -> [a] -> IO (EnzymeTree s a) +generateTreeFromList s a = flip treeFromList a . getShape <$> generate (resize s arbitrary :: Gen (EnzymeTree s ())) + + +generateDotFromTree :: (Show a, IsString b, Monoid b) => b -> EnzymeTree s a -> b +generateDotFromTree name t = "digraph " <> name <> " {\n" + <> generateDotFromTree' t + <> "}\n" + where + generateDotFromTree' :: (Show a, IsString b, Monoid b) => EnzymeTree s a -> b + generateDotFromTree' (EnzymeTree _ num ns) = + " " <> wrap (ts num) <> " -> { " + <> mconcat (intersperse " " (wrap . ts . getElement <$> ns)) + <> " };\n" + <> mconcat (generateDotFromTree' <$> ns) + where + ts = fromString . show + wrap x = "\"" <> x <> "\"" diff --git a/src/Environment.hs b/src/Environment.hs index 2b1525b..424e5c2 100644 --- a/src/Environment.hs +++ b/src/Environment.hs @@ -1,9 +1,5 @@ -{-# LANGUAGE RecordWildCards #-} -{-# LANGUAGE TypeApplications #-} - module Environment where - import Data.Functor ((<$>)) import Control.Applicative ((<*>)) import Control.Monad (forM_) @@ -30,17 +26,17 @@ data Component = PP | FPP deriving (Show, Enum, Bounded, Eq) --- | Compounds are either direct nutrients, already processed components or GenericEnzymes +-- | Compounds are either direct nutrients, already processed components or GenericCompound data Compound = Substrate Nutrient | Produced Component - | GenericEnzyme Int + | GenericCompound Int deriving (Show, Eq) instance Enum Compound where toEnum x | x <= maxS = Substrate . toEnum $ x | x - (maxS+1) <= maxP = Produced . toEnum $ x - (maxS + 1) - | otherwise = GenericEnzyme $ x - (maxS + 1) - (maxP + 1) + | otherwise = GenericCompound $ x - (maxS + 1) - (maxP + 1) where maxS = fromEnum (maxBound :: Nutrient) maxP = fromEnum (maxBound :: Component) @@ -49,7 +45,7 @@ instance Enum Compound where fromEnum (Produced x) = fromEnum x + maxS + 1 where maxS = fromEnum (maxBound :: Nutrient) - fromEnum (GenericEnzyme x) = x + maxS + maxP + 2 + fromEnum (GenericCompound x) = x + maxS + maxP + 2 where maxS = fromEnum (maxBound :: Nutrient) maxP = fromEnum (maxBound :: Component) @@ -153,7 +149,7 @@ fitness p = do nutrients <- absorbNutrients p -- absorb soil products <- produceCompounds p nutrients -- produce compounds survivalRate <- deterPredators products -- defeat predators with produced compounds - let sumEnzymes = sum $ (\(_,q,a) -> (fromIntegral q)*a) <$> genome p -- amount of enzymes * activation = resources "wasted" + let sumEnzymes = sum $ (\(_,q,a) -> fromIntegral q*a) <$> genome p -- amount of enzymes * activation = resources "wasted" costOfEnzymes = 0.95 ** sumEnzymes return $ survivalRate * costOfEnzymes -- can also be written as, but above is more clear. @@ -161,11 +157,11 @@ fitness p = do produceCompounds :: Plant -> [(Nutrient, Amount)] -> World (Vector Amount) produceCompounds (Plant genes _) substrate = do - numIter <- metabolismIteration <$> ask - numCompounds <- maxCompound <$> ask + numIter <- asks metabolismIteration + numCompounds <- asks maxCompound let - initialAmount = (assoc (numCompounds+1) 0 ((\(n,a) -> (fromEnum $ Substrate n,a)) <$> substrate)) :: Vector Amount - enzymes = (\(e,q,a) -> (synthesis e,(fromIntegral q)*a)) <$> genes -- [(((Component,Amount),(Component,Amount)),q*a)], Amount got * by quantity & activation + initialAmount = assoc (numCompounds+1) 0 ((\(n,a) -> (fromEnum $ Substrate n,a)) <$> substrate) :: Vector Amount + enzymes = (\(e,q,a) -> (synthesis e,fromIntegral q*a)) <$> genes -- [(((Component,Amount),(Component,Amount)),q*a)], Amount got * by quantity & activation positions = concat $ (\(((i,ia),(o,oa)),f) -> [((fromEnum i,fromEnum i),f*ia),((fromEnum o,fromEnum o),f*ia),((fromEnum o,fromEnum i),f*oa),((fromEnum i,fromEnum o),f*oa)]) <$> enzymes -- [((row,column),amount)] mat = accum (konst 0 (numCompounds+1,numCompounds+1)) (+) positions --accumulate all entries into one matrix. -- mat is now the rate of change in u'(t) = A u(t) @@ -179,14 +175,14 @@ produceCompounds (Plant genes _) substrate = do deterPredators :: Vector Amount -> World Probability deterPredators cs = do - ps <- predators <$> ask - ts <- toxicCompounds <$> ask - let + ps <- asks predators + ts <- asks toxicCompounds + let deter :: Predator -> Double -- multiply (toxicity of t with 100% effectiveness at l| for all toxins t | and t not in p's resistance-list) - deter p = product [1 - min 1 (cs ! (fromEnum t) / l) | (t,l) <- ts, not (t `elem` resistance p)] + deter p = product [1 - min 1 (cs ! fromEnum t / l) | (t,l) <- ts, t `notElem` resistance p] -- multiply (probability of occurence * intensity of destruction / probability to deter predator | for all predators) - return . product $ [min 1 ((1-prob) * fitnessImpact p / deter p) | (p,prob) <- ps] + return . product $ [min 1 ((1-prob) * fitnessImpact p / deter p) | (p,prob) <- ps] -- Mating & Creation of diversity -- ------------------------------ @@ -201,7 +197,7 @@ haploMate (Plant genes abs) = do r3 <- liftIO ((randoms <$> newStdGen) :: IO [Double]) r4 <- liftIO ((randoms <$> newStdGen) :: IO [Double]) r5 <- liftIO ((randoms <$> newStdGen) :: IO [Double]) - enzymes <- possibleEnzymes <$> ask + enzymes <- asks possibleEnzymes re1 <- liftIO ((randomRs (0,length enzymes - 1) <$> newStdGen) :: IO [Int]) re2 <- liftIO ((randomRs (0,length enzymes - 1) <$> newStdGen) :: IO [Int]) let @@ -221,17 +217,17 @@ haploMate (Plant genes abs) = do duplicateGene _ [] = [] addGene :: [Double] -> [Int] -> Genome -> Genome - addGene (r:rs) (s:ss) g = if r < 0.01 then ((enzymes !! s),1,1):g else g + addGene (r:rs) (s:ss) g = if r < 0.01 then (enzymes !! s,1,1):g else g noiseActivation :: [Double] -> Genome -> Genome noiseActivation (r:rs) ((e,q,a):gs) = (e,q,max 0 $ min 1 $ a-0.01+0.02*r):noiseActivation rs gs noiseActivation _ [] = [] mutateGene :: [Double] -> [Int] -> Genome -> Genome - mutateGene (r:rs) (s:ss) ((e,1,a):gs) = if r < 0.05 then ((enzymes !! s),1,a):mutateGene rs ss gs + mutateGene (r:rs) (s:ss) ((e,1,a):gs) = if r < 0.05 then (enzymes !! s,1,a):mutateGene rs ss gs else (e,1,a):mutateGene rs ss gs - mutateGene (r:rs) (s:ss) ((e,q,a):gs) = if r < 0.05 then (e,q-1,a):((enzymes !! s),1,a):mutateGene rs ss gs + mutateGene (r:rs) (s:ss) ((e,q,a):gs) = if r < 0.05 then (e,q-1,a):(enzymes !! s,1,a):mutateGene rs ss gs else (e,q,a):mutateGene rs ss gs mutateGene (r:rs) (s:ss) [] = [] return $ Plant genes' abs @@ -243,7 +239,7 @@ haploMate (Plant genes abs) = do -- | Plant with no secondary metabolism with unlimited extraction from environment. emptyPlant :: Plant -emptyPlant = Plant [] (soil <$> ask) +emptyPlant = Plant [] (asks soil) getAmountOf :: Compound -> [(Compound, Amount)] -> Amount getAmountOf c = sum . fmap snd . filter ((== c) . fst)