PAKCS
Exported names: Imported modules:

Module Control.SearchTree.Generators

This library implements some operations to generate search trees for various data types.

The library also provides combinators to support the easy definition of search tree generators for user-defined data types. If a data type is defined by 

data T a1 ... an = ... | C t1 ... tn | ....

then one can define a search tree generator for this type by 

genT gena1 ... genan =
  ... ||| genCons<n> C gen_t1 ... gen_t1 ||| ...

where gen_ti denotes the search tree generator for type ti. For instance, a search tree generator for the type 

data Tree a = Leaf a
            | Node [Tree a]

can be defined by 

genTree gena =  genCons1 Leaf gena
            ||| genCons1 Node (genList (genTree gena))

Author: Michael Hanus

Version: December 2018

Summary of exported operations:

(|||) :: SearchTree a -> SearchTree a -> SearchTree a   
Constructs an alternative of two search trees.
genCons0 :: a -> SearchTree a   
Constructs a generator for a nullary constructor.
genCons1 :: (a -> b) -> SearchTree a -> SearchTree b   
Constructs a generator for a unary constructor where the generator for the argument type is provided.
genCons2 :: (a -> b -> c) -> SearchTree a -> SearchTree b -> SearchTree c   
Constructs a generator for a binary constructor where the generators for the argument types are provided.
genCons3 :: (a -> b -> c -> d) -> SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d   
Constructs a generator for a ternary constructor where the generators for the argument types are provided.
genCons4 :: (a -> b -> c -> d -> e) -> SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d -> SearchTree e   
Constructs a generator for a constructor of arity 4 where the generators for the argument types are provided.
genCons5 :: (a -> b -> c -> d -> e -> f) -> SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d -> SearchTree e -> SearchTree f   
Constructs a generator for a constructor of arity 5 where the generators for the argument types are provided.
genNat :: SearchTree Int   
Generates a search tree for positive natural numbers:
genInt :: SearchTree Int   
Generates a search tree for integer values.
genFloat :: SearchTree Float   
Generates a search tree for Float values.
genBool :: SearchTree Bool   
Generates a search tree for Boolean values.
genChar :: SearchTree Char   
Generates a search tree for character values.
genList :: SearchTree a -> SearchTree [a]   
Generates a search tree for list values where the search tree for the elements is given as a parameter.
genMaybe :: SearchTree a -> SearchTree (Maybe a)   
Generates a search tree for Maybe values where the search tree for the possible element is given as a parameter.
genEither :: SearchTree a -> SearchTree b -> SearchTree (Either a b)   
Generates a search tree for Either values where the search tree for the possible elements is given as a parameter.
genUnit :: SearchTree ()   
Generates a search tree for the unit values.
genPair :: SearchTree a -> SearchTree b -> SearchTree (a,b)   
Generates a search tree for pair of values where the search tree generators for the components types are given as parameters.
genTriple :: SearchTree a -> SearchTree b -> SearchTree c -> SearchTree (a,b,c)   
Generates a search tree for triple of values where the search tree generators for the components types are given as parameters.
genTuple4 :: SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d -> SearchTree (a,b,c,d)   
Generates a search tree for quadruple of values where the search tree generators for the components types are given as parameters.
genTuple5 :: SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d -> SearchTree e -> SearchTree (a,b,c,d,e)   
Generates a search tree for 5-tuple of values where the search tree generators for the components types are given as parameters.
genOrdering :: SearchTree Ordering   
Generates a search tree for the Ordering values.

Exported operations:

(|||) :: SearchTree a -> SearchTree a -> SearchTree a   

Constructs an alternative of two search trees.

Further infos:
  • defined as right-associative infix operator with precedence 1
  • solution complete, i.e., able to compute all solutions

genCons0 :: a -> SearchTree a   

Constructs a generator for a nullary constructor.

Further infos:
  • solution complete, i.e., able to compute all solutions

genCons1 :: (a -> b) -> SearchTree a -> SearchTree b   

Constructs a generator for a unary constructor where the generator for the argument type is provided.

genCons2 :: (a -> b -> c) -> SearchTree a -> SearchTree b -> SearchTree c   

Constructs a generator for a binary constructor where the generators for the argument types are provided.

genCons3 :: (a -> b -> c -> d) -> SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d   

Constructs a generator for a ternary constructor where the generators for the argument types are provided.

genCons4 :: (a -> b -> c -> d -> e) -> SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d -> SearchTree e   

Constructs a generator for a constructor of arity 4 where the generators for the argument types are provided.

genCons5 :: (a -> b -> c -> d -> e -> f) -> SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d -> SearchTree e -> SearchTree f   

Constructs a generator for a constructor of arity 5 where the generators for the argument types are provided.

genNat :: SearchTree Int   

Generates a search tree for positive natural numbers:

genInt :: SearchTree Int   

Generates a search tree for integer values.

genFloat :: SearchTree Float   

Generates a search tree for Float values.

genBool :: SearchTree Bool   

Generates a search tree for Boolean values.

Further infos:
  • solution complete, i.e., able to compute all solutions

genChar :: SearchTree Char   

Generates a search tree for character values. In order to obtain readable values, we only generate letters and digits.

genList :: SearchTree a -> SearchTree [a]   

Generates a search tree for list values where the search tree for the elements is given as a parameter.

genMaybe :: SearchTree a -> SearchTree (Maybe a)   

Generates a search tree for Maybe values where the search tree for the possible element is given as a parameter.

genEither :: SearchTree a -> SearchTree b -> SearchTree (Either a b)   

Generates a search tree for Either values where the search tree for the possible elements is given as a parameter.

genUnit :: SearchTree ()   

Generates a search tree for the unit values.

Further infos:
  • solution complete, i.e., able to compute all solutions

genPair :: SearchTree a -> SearchTree b -> SearchTree (a,b)   

Generates a search tree for pair of values where the search tree generators for the components types are given as parameters.

genTriple :: SearchTree a -> SearchTree b -> SearchTree c -> SearchTree (a,b,c)   

Generates a search tree for triple of values where the search tree generators for the components types are given as parameters.

genTuple4 :: SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d -> SearchTree (a,b,c,d)   

Generates a search tree for quadruple of values where the search tree generators for the components types are given as parameters.

genTuple5 :: SearchTree a -> SearchTree b -> SearchTree c -> SearchTree d -> SearchTree e -> SearchTree (a,b,c,d,e)   

Generates a search tree for 5-tuple of values where the search tree generators for the components types are given as parameters.

genOrdering :: SearchTree Ordering   

Generates a search tree for the Ordering values.

Further infos:
  • solution complete, i.e., able to compute all solutions