Add tree structure generation

This commit is contained in:
2021-04-15 21:35:03 +02:00
parent 6119276d45
commit 38d67520cc
18 changed files with 531 additions and 153 deletions
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{-
Annotating tree structures with desired properties for rooms.
-}
module Dodge.Layout.Tree.Annotate
where
import Dodge.RandomHelp
import Dodge.Layout.Tree.Polymorphic
import Data.Tree
import Control.Monad.State
import System.Random
data Annotation
= Lock Int
| Key Int
addLock :: RandomGen g => Int -> Tree [Annotation] -> State g (Tree [Annotation])
addLock i t = do
(beforeLock, afterLock) <- splitTrunk t
newBefore <- applyToRandomNode (Key i :) beforeLock
return $ addToTrunk newBefore [Node [Lock i] afterLock]
--annoToRoom :: RandomGen g => [Annotation] -> State g (Either Room Room)
--annoToRoom as = undefined
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{-|
Combining and composing trees with 'Either' nodes.
-}
module Dodge.Layout.Tree.Either
( expandTreeBy
) where
import Data.Tree
-- | 'Left' elements get new children as given by the node function,
-- 'Right' elements inherit the children from the base tree
expandTreeBy
:: (a -> Tree (Either b b)) -- ^ Node function
-> Tree a -- ^ Base tree
-> Tree b
expandTreeBy f (Node x []) = fmap removeEither (f x)
expandTreeBy f (Node x xs) = appendAndRemove $ f x
where
appendAndRemove (Node (Left y) ys) = Node y (map appendAndRemove ys)
appendAndRemove (Node (Right y) _ ) = Node y (map (expandTreeBy f) xs)
removeEither (Left y) = y
removeEither (Right y) = y
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{-
Procedural generation of tree structures.
A /trunk/ refers to the successive first nodes in lists of children.
-}
module Dodge.Layout.Tree.GenerateStructure
where
import Dodge.RandomHelp
import Data.Tree
import Control.Monad.State
import System.Random
{-
Single branched tree (a trunk).
-}
treePath :: Int -> Tree ()
treePath 0 = Node () []
treePath x = Node () [treePath (x-1)]
{-
Adds a branch at a certain point down a trunk.
-}
addBranchAt
:: Int -- ^ Depth to add branch at
-> Tree () -- ^ Branch to add
-> Tree () -- ^ Starting tree
-> Tree ()
addBranchAt 0 b (Node () xs) = Node () (xs ++ [b])
addBranchAt i b (Node () (x:xs))
= Node () (addBranchAt (i-1) b x : xs)
{-
Randomly generate a tree containing a maximum of three nodes.
-}
smallBranch :: RandomGen g => State g (Tree ())
smallBranch = takeOne
[ treePath 0
, treePath 1
, treePath 2
, addBranchAt 0 (treePath 0) (treePath 1)
]
{-
Randomly generate a small tree.
-}
aTreeStrut :: RandomGen g => State g (Tree ())
aTreeStrut = do
d <- state $ randomR (9,11:: Int)
nbs <- state $ randomR (2,5)
bds <- takeN nbs [1 .. d - 1]
bs <- replicateM nbs smallBranch
let trunk = treePath d
return $ foldr (uncurry addBranchAt) trunk $ zip bds bs
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module Dodge.Layout.Tree.Polymorphic
where
import Dodge.RandomHelp
import Data.Tree
import Control.Monad.State
import System.Random
{-
Creates a linear tree.
Safe.
-}
treePost :: [a] -> a -> Tree a
treePost [] y = Node y []
treePost (x:xs) y = Node x [treePost xs y]
{-
Creates a tree with one trunk branch,
input as a list, that ends in another tree.
-}
treeTrunk
:: [a] -- ^ The trunk
-> Tree a -- ^ The end of the tree
-> Tree a
treeTrunk [] t = t
treeTrunk (x:xs) t = Node x [treeTrunk xs t]
{-
Applies a function to the root of a tree.
-}
applyToRoot :: (a -> a) -> Tree a -> Tree a
applyToRoot f (Node x xs) = Node (f x) xs
treeSize = length . flatten
{-
Applies a function to a specific node determined by a list of indices.
Unsafe (partial function).
-}
applyToNode :: [Int] -> (a -> a) -> Tree a -> Tree a
applyToNode [] f t = applyToRoot f t
applyToNode (i:is) f (Node x xs) = Node x (ys ++ [applyToNode is f z] ++ zs)
where
(ys, z:zs) = splitAt i xs
zipTree :: Tree a -> Tree b -> Tree (a,b)
zipTree (Node x xs) (Node y ys) = Node (x,y) $ zipWith zipTree xs ys
{-
Makes each node into its child number, i.e. the index it has
in the list of children of its parent.
-}
treeChildNums :: Tree a -> Tree Int
treeChildNums t = setRoot 0 t
where
setRoot :: Int -> Tree a -> Tree Int
setRoot i (Node x xs) = Node i (zipWith setRoot [0..] xs)
{-
Makes each node into its path, i.e. the list of indices that,
when followed from the root, lead to the node.
-}
treePaths :: Tree a -> Tree [a]
treePaths (Node x xs) = fmap (x :) $ Node [] (map treePaths xs)
{-
Picks a random path in the tree.
Uniform probability that the path leads to any specific node.
-}
randomPath :: RandomGen g => Tree a -> State g [Int]
randomPath = takeOne . flatten . treePaths . treeChildNums
{-
Apply a function to a node picked uniformly at random.
-}
applyToRandomNode :: RandomGen g => (a -> a) -> Tree a -> State g (Tree a)
applyToRandomNode f t = do
p <- randomPath t
return $ applyToNode p f t
{-
Add a forest to the end of a tree.
-}
addToTrunk :: Tree a -> [Tree a] -> Tree a
addToTrunk (Node x []) f = Node x f
addToTrunk (Node x (t:ts)) f = Node x (addToTrunk t f : ts)
{-
Find the depth of a tree along the trunk.
-}
trunkDepth :: Tree a -> Int
trunkDepth (Node _ []) = 0
trunkDepth (Node _ (x:xs)) = trunkDepth x + 1
{-
Split a tree at a given point along its trunk.
-}
splitTrunkAt :: Int -> Tree a -> (Tree a, [Tree a])
splitTrunkAt 0 (Node x xs) = (Node x [],xs)
splitTrunkAt i (Node y (x:xs)) =
let (t, ts) = (splitTrunkAt (i-1) x)
in (Node y (t : xs) , ts)
{-
Split a tree at a random point along its trunk.
-}
splitTrunk :: RandomGen g => Tree a -> State g (Tree a, [Tree a])
splitTrunk t = do
i <- state $ randomR (0, trunkDepth t)
return $ splitTrunkAt i t