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GHC 9.10.3 · lts/ghc-9.10.x · 248f8f0 · 2026-10-05

Modulehxt-9.3.1.22Haskell2010

Control.Arrow.ArrowTree

List arrows for tree processing.

Trees that implement the Data.Tree.Class interface, can be processed with these arrows.

  • 2 classes
  • Packagehxt-9.3.1.22
  • Exports2
  • LanguageHaskell2010
  • LicenceMIT
  • SourceArrowTree.hs
classclass (ArrowPlus a, ArrowIf a) => ArrowTree (a :: Type -> Type -> Type) where
#

The interface for tree arrows

all functions have default implementations

Methods

  • mkLeaf :: Tree t => b -> a c (t b)

    construct a leaf

  • mkTree :: Tree t => b -> [t b] -> a c (t b)

    construct an inner node

  • getChildren :: Tree t => a (t b) (t b)

    select the children of the root of a tree

  • getNode :: Tree t => a (t b) b

    select the node info of the root of a tree

  • hasNode :: Tree t => (b -> Bool) -> a (t b) (t b)

    select the attribute of the root of a tree

  • setChildren :: Tree t => [t b] -> a (t b) (t b)

    substitute the children of the root of a tree

  • setNode :: Tree t => b -> a (t b) (t b)

    substitute the attribute of the root of a tree

  • changeChildren :: Tree t => ([t b] -> [t b]) -> a (t b) (t b)

    edit the children of the root of a tree

  • changeNode :: Tree t => (b -> b) -> a (t b) (t b)

    edit the attribute of the root of a tree

  • processChildren :: Tree t => a (t b) (t b) -> a (t b) (t b)

    apply an arrow element wise to all children of the root of a tree collect these results and substitute the children with this result

    example: processChildren isText deletes all subtrees, for which isText does not hold

    example: processChildren (none `when` isCmt) removes all children, for which isCmt holds

  • replaceChildren :: Tree t => a (t b) (t b) -> a (t b) (t b)

    similar to processChildren, but the new children are computed by processing the whole input tree

    example: replaceChildren (deep isText) selects all subtrees for which isText holds and substitutes the children component of the root node with this list

  • (/>) :: Tree t => a b (t c) -> a (t c) d -> a b dinfixl 5

    pronounced "slash", meaning g inside f

    defined as f /> g = f >>> getChildren >>> g

    example: hasName "html" /> hasName "body" /> hasName "h1"

    This expression selects all "h1" elements in the "body" element of an "html" element, an expression, that corresponds 1-1 to the XPath selection path "html/body/h1"

  • (//>) :: Tree t => a b (t c) -> a (t c) d -> a b dinfixl 5

    pronounced "double slash", meaning g arbitrarily deep inside f

    defined as f //> g = f >>> getChildren >>> deep g

    example: hasName "html" //> hasName "table"

    This expression selects all top level "table" elements within an "html" element, an expression. Attention: This does not correspond to the XPath selection path "html//table". The latter on matches all table elements even nested ones, but //> gives in many cases the appropriate functionality.

  • (</) :: Tree t => a (t b) (t b) -> a (t b) (t b) -> a (t b) (t b)infixl 5

    pronounced "outside" meaning f containing g

    defined as f </ g = f `containing` (getChildren >>> g)

  • deep :: Tree t => a (t b) c -> a (t b) c

    recursively searches a whole tree for subtrees, for which a predicate holds. The search is performed top down. When a tree is found, this becomes an element of the result list. The tree found is not further examined for any subtress, for which the predicate also could hold. See multi for this kind of search.

    example: deep isHtmlTable selects all top level table elements in a document (with an appropriate definition for isHtmlTable) but no tables occuring within a table cell.

  • deepest :: Tree t => a (t b) c -> a (t b) c

    recursively searches a whole tree for subrees, for which a predicate holds. The search is performed bottom up.

    example: deepest isHtmlTable selects all innermost table elements in a document but no table elements containing tables. See deep and multi for other search strategies.

  • multi :: Tree t => a (t b) c -> a (t b) c

    recursively searches a whole tree for subtrees, for which a predicate holds. The search is performed top down. All nodes of the tree are searched, even within the subtrees of trees for which the predicate holds.

    example: multi isHtmlTable selects all table elements, even nested ones.

  • processBottomUp :: Tree t => a (t b) (t b) -> a (t b) (t b)

    recursively transforms a whole tree by applying an arrow to all subtrees, this is done bottom up depth first, leaves first, root as last tree

    example: processBottomUp (getChildren `when` isHtmlFont) removes all font tags in a HTML document, even nested ones (with an appropriate definition of isHtmlFont)

  • processTopDown :: Tree t => a (t b) (t b) -> a (t b) (t b)

    similar to processBottomUp, but recursively transforms a whole tree by applying an arrow to all subtrees with a top down depth first traversal strategie. In many cases processBottomUp and processTopDown give same results.

  • processBottomUpWhenNot :: Tree t => a (t b) (t b) -> a (t b) (t b) -> a (t b) (t b)

    recursively transforms a whole tree by applying an arrow to all subtrees, but transformation stops when a predicte does not hold for a subtree, leaves are transformed first

  • processTopDownUntil :: Tree t => a (t b) (t b) -> a (t b) (t b)

    recursively transforms a whole tree by applying an arrow to all subtrees, but transformation stops when a tree is successfully transformed. the transformation is done top down

    example: processTopDownUntil (isHtmlTable `guards` tranformTable) transforms all top level table elements into something else, but inner tables remain unchanged

  • insertChildrenAt :: Tree t => Int -> a (t b) (t b) -> a (t b) (t b)

    computes a list of trees by applying an arrow to the input and inserts this list in front of index i in the list of children

    example: insertChildrenAt 0 (deep isCmt) selects all subtrees for which isCmt holds and copies theses in front of the existing children

  • insertChildrenAfter :: Tree t => a (t b) (t b) -> a (t b) (t b) -> a (t b) (t b)

    similar to insertChildrenAt, but the insertion position is searched with a predicate

  • insertTreeTemplate :: Tree t => a (t b) (t b) -> [IfThen (a (t b) c) (a (t b) (t b))] -> a (t b) (t b)

    an arrow for inserting a whole subtree with some holes in it (a template) into a document. The holes can be filled with contents from the input.

    Example

    insertTreeTemplateTest :: ArrowXml a => a b XmlTree
    insertTreeTemplateTest
        = doc
          >>>
          insertTreeTemplate template pattern
        where
        doc                                                                -- the input data
           = constA "<x><y>The Title</y><z>The content</z></x>"
             >>> xread
        template                                                           -- the output template with 2 holes: xxx and yyy
           = constA "<html><head><title>xxx</title></head><body><h1>yyy</h1></body></html>"
             >>> xread
        pattern
           = [ hasText (== "xxx")                                          -- fill the xxx hole with the input contents from element "x/y"
               :-> ( getChildren >>> hasName "y" >>> deep isText )
    
             , hasText (== "yyy")                                          -- fill the yyy hole with the input contents from element "x/z"
               :-> ( getChildren >>> hasName "z" >>> getChildren )
             ]

    computes the XML tree for the following document

    "<html><head><title>The Title</title></head><body><h1>The content</h1></body></html>"
Instances4ArrowTree
  • ArrowTree IOLADefined in hxt-9.3.1.22 · Control.Arrow.IOListArrow
  • ArrowTree LADefined in hxt-9.3.1.22 · Control.Arrow.ListArrow
  • ArrowTree (IOSLA s)Defined in hxt-9.3.1.22 · Control.Arrow.IOStateListArrow
  • ArrowTree (SLA s)Defined in hxt-9.3.1.22 · Control.Arrow.StateListArrow
classclass Tree (t :: Type -> Type) where
#

The interface for trees

Instances2Tree
  • Tree NTreeDefined in hxt-9.3.1.22 · Data.Tree.NTree.TypeDefs

    Implementation of Data.Tree.Class interface for rose trees

  • Tree NTZipperDefined in hxt-9.3.1.22 · Data.Tree.NTree.Zipper.TypeDefs