# fgl

Martin Erwig's Functional Graph Library

LTS Haskell 9.9: | 5.5.3.1 |

Stackage Nightly 2017-10-21: | 5.5.4.0 |

Latest on Hackage: | 5.6.0.0 |

BSD3 licensed by

**Martin Erwig, Ivan Lazar Miljenovic**Maintained by

**Ivan.Miljenovic@gmail.com**#### Module documentation for 5.5.3.1

- Data
- Data.Graph
- Data.Graph.Inductive
- Data.Graph.Inductive.Basic
- Data.Graph.Inductive.Example
- Data.Graph.Inductive.Graph
- Data.Graph.Inductive.Internal
- Data.Graph.Inductive.Monad
- Data.Graph.Inductive.NodeMap
- Data.Graph.Inductive.PatriciaTree
- Data.Graph.Inductive.Query
- Data.Graph.Inductive.Query.ArtPoint
- Data.Graph.Inductive.Query.BCC
- Data.Graph.Inductive.Query.BFS
- Data.Graph.Inductive.Query.DFS
- Data.Graph.Inductive.Query.Dominators
- Data.Graph.Inductive.Query.GVD
- Data.Graph.Inductive.Query.Indep
- Data.Graph.Inductive.Query.MST
- Data.Graph.Inductive.Query.MaxFlow
- Data.Graph.Inductive.Query.MaxFlow2
- Data.Graph.Inductive.Query.Monad
- Data.Graph.Inductive.Query.SP
- Data.Graph.Inductive.Query.TransClos

- Data.Graph.Inductive.Tree

- Data.Graph.Inductive

- Data.Graph

An inductive representation of manipulating graph data structures.

Original website can be found at http://web.engr.oregonstate.edu/~erwig/fgl/haskell.

## Changes

5.6.0.0

-------

* The previous version should have been a major version bump due to

the API change.

5.5.4.0

-------

* Improved type safety of shortest-path functions (in

`Data.Graph.Inductive.Query.SP`) thanks to Nathan Collins.

- `getDistance`, `spLength` and `sp` now return `Maybe` values.

* Fixed building on GHC < 7.4; previously uncaught due to

cabal-install doing the wrong thing on Travis-CI.

5.5.3.1

-------

* Hopefully clearer documentation for `&`, `Context` and the

`ufold`-based functions.

* Thanks to David Feuer, the existing benchmark suite is now runnable

with `cabal bench`.

* Some performance improvements for `PatriciaTree`, thanks to David

Feuer.

5.5.3.0

-------

* Additional closure functions by Matthew Danish.

* `Bifunctor` instances for base >= 4.8.0.0.

* An `ST`-based `GraphM` instance.

* Addition of `order` and `size` functions for finding the number of

nodes and edges respectively in a graph (the former is an alias for

the existing `noNodes` function).

* The rules for faster implementations of `insNode` and `insEdge` for

`PatriciaTree` should fire more often now.

5.5.2.3

-------

* Earlier fix for `NFData` wasn't quite complete/correct.

5.5.2.2

-------

* Ensure firing of specialised rules for `PatriciaTree`.

* Better way of only creating `NFData` instances when possible.

5.5.2.1

-------

* Only create `NFData` instances for GHC >= 7.4.1.

5.5.2.0

-------

* Documentation, clean-up and refactoring of various parts of the

library.

- As part of this, various types now have instances for classes

like `Show`, `Eq`, `Ord`, `NFData`, etc. where applicable.

- In particular, the various options for use with depth-first

search and shortest path queries was documented by David

Luposchainsky.

* Addition of a proper test-suite. So far it covers the

`Data.Graph.Inductive.Graph` module and all

`Data.Graph.Inductive.Query.*` modules except for `Monad`.

- The tests are also automatically run for every (set of) commits

thanks to Travis-CI.

* Arbitrary instances for the two graph types are now available in the

new `fgl-arbitrary` sub-package.

* Now depends solely on the `transformers` library rather than `mtl`.

* Potentially breaking changes:

These changes are those where the behaviour was un-specified or

didn't match the documentation.

- `nodeRange` and `nodeRangeM` for the various graph data

structures erroneously returned `(0,0)` for empty graphs (making

them indistinguishable from graphs containing the single node

`0`). They now match the default implementation of throwing an

error.

- The behaviour of `delLEdge` when dealing with multiple edges was

unspecified; it now deletes only a single edge and the new

function `delAllLEdge` deletes all edges matching the one

provided.

* Additional functions thanks to Sergiu Ivanov:

- Creating sub-graphs by `Node`- and `Context`-filtering as well

as induced by a set of `Node`s.

- Graph condensation (i.e. graph of

strongly-connected-components).

- Various edge- and neighbor-based helper functions.

* The graph types now have `Generic` instances thanks to Piotr

Mlodawski.

* The `OrdGr` wrapper by Trevor Cook allows performing `Ord`-based

comparisons on graphs.

5.5.1.0

-------

* Support added for GHC 7.10 by Herbert Valerio Riedel.

* Additional DFS query functions added by Conrad Parker.

* Repository location changed to GitHub.

* Code cleanup:

- Replaced usage of internal FiniteMap copy with Data.Map and

Data.Set from the containers library.

- Remove usage of data type contexts.

- Use newtypes where applicable.

5.5.0.1

-------

* Fix up Eq instances for Tree and PatriciaTree so that they work with

multiple edges.

5.5.0.0

-------

* Add proper Show, Read and Eq instances to Data.Graph.Inductive.Tree

and Data.Graph.Inductive.PatriciaTree.

* Add pretty-printing functions to Data.Graph.Inductive.Graph. These

are based upon the old Show implementation for

Data.Graph.Inductive.Tree.

* Now use PatriciaTree by default rather than Tree (and recommend as

such). IntMap has been receiving a lot of optimisation work on it,

whereas the internal FiniteMap implementation hasn't received any

attention.

* The `version :: IO ()` action now uses the actual Cabal version.

* Remove Data.Graph.Inductive.Graphviz; use the graphviz package

instead.

5.4.2.4

-------

* Update to work with GHC-7.2 and Cabal-1.6.

5.4.2.3

-------

* Maintainership taken over by Ivan Miljenovic.

* Allow Data.Graph.Inductive.PatriciaTree to deal with multiple edges

between nodes.

5.4.2.2 (November 2008)

-----------------------

* Bugfix in Graphviz.sq

5.4.2.1 (June 2008)

-------------------

* bug fix in bcc by Reid Barton

* added new dynamic graph implementation:

Data.Graph.Inductive.PatriciaTree (thanks to Pho)

* added test/benchmark.hs: a benchmark to compare Tree and PatriciaTree

implementations (thanks to Pho)

5.4.2 (May 2008)

----------------

* added Setup.hs to tar file

* reimplementation of Data.Graph.Inductive.Query.Dominators

by Bertram Felgenhauer:

It was buggy and very slow for large graphs. See

http://www.haskell.org/pipermail/haskell-cafe/2008-April/041739.html

This patch also adds a new function, iDom, that returns the

immediate dominators of the graph nodes.

* Exported xdf*With functions from DFS.hs

* many little cleanups thanks to many people

(use 'darcs changes' to see the details)

5.4 (April 2007)

----------------

* changed the implementation for inspection functions (suc, pred, ...)

to correct the behavior in the presence of loops (thanks to Ralf

Juengling for pointing out the inconsistency)

5.3 (June 2006)

---------------

* fixed a bug in findP (thanks to lnagy@fit.edu)

* added function delLEdge in Graph.hs (thanks to Jose Labra)

* changed implementation of updFM and mkGraph (thanks to Don Stewart)

February 2005

-------------

* fixed an import error in Basic.hs

* removed Eq instance of gr because it caused overlapping instance

problems. Instead the function equal defined in Graph.hs can be

used

* added some more functions to the export list of DFS.hs

* changed the definition of LPath into a newtype to avoid overlapping

instances with lists

* fixed the Makefile (for GHC and GHCi)

January 2004

------------

* bug fix for nearestNode (src/Data/Graph/Inductive/Query/GVD.hs)

Update contributed by Aetion Technologies LLC (www.aetion.com)

* Refactor into hierarchical namespace

* Build changes:

- build a standard haskell library (libHSfgl.a, HSfgl.o)

- install as ghc package (fgl), uses Auto so no -package is needed

* Automatic Node generation for labels: Data.Graph.Inductive.NodeMap

* Graphviz output: Data.Graph.Inductive.Graphviz

September 2002

--------------

* Introduction of graph classes

* Monadic graphs and graph computation monad

* Graph implementation based on balanced (AVL) trees

* Fast graph implementation based on IO arrays

* New algorithms:

- Maximum flow

- Articulation points

- biconnected components

- dominators

- transitive closure

* minor changes in utility functions

- changed signatures (swapped order of arguments) of

functions context and lab to be consistent with other graph functions

- changed function first in RootPath: not existing path is now reported

as an empty list and will not produce an error

- esp version that returns a list of labeled edges

(to find minimum label in maxflow algorithm)

- BFS uses amortized O(1) queue

- Heap stores key and value separately

- ...

March 2001

----------

* Changes to User Guide

* a couple of new functions

* some internal changes

April 2000

----------

* User Guide

* Systematic structure for all depth-first search functions

* Graph Voronoi diagram

* Several small changes and additions in utility functions

February 2000

-------------

* Representation for inward-directed trees

* Breadth-first search

* Dijkstra's algorithm

* Minimum-spanning-tree algorithm

August 1999

-----------

* First Haskell version

-------

* The previous version should have been a major version bump due to

the API change.

5.5.4.0

-------

* Improved type safety of shortest-path functions (in

`Data.Graph.Inductive.Query.SP`) thanks to Nathan Collins.

- `getDistance`, `spLength` and `sp` now return `Maybe` values.

* Fixed building on GHC < 7.4; previously uncaught due to

cabal-install doing the wrong thing on Travis-CI.

5.5.3.1

-------

* Hopefully clearer documentation for `&`, `Context` and the

`ufold`-based functions.

* Thanks to David Feuer, the existing benchmark suite is now runnable

with `cabal bench`.

* Some performance improvements for `PatriciaTree`, thanks to David

Feuer.

5.5.3.0

-------

* Additional closure functions by Matthew Danish.

* `Bifunctor` instances for base >= 4.8.0.0.

* An `ST`-based `GraphM` instance.

* Addition of `order` and `size` functions for finding the number of

nodes and edges respectively in a graph (the former is an alias for

the existing `noNodes` function).

* The rules for faster implementations of `insNode` and `insEdge` for

`PatriciaTree` should fire more often now.

5.5.2.3

-------

* Earlier fix for `NFData` wasn't quite complete/correct.

5.5.2.2

-------

* Ensure firing of specialised rules for `PatriciaTree`.

* Better way of only creating `NFData` instances when possible.

5.5.2.1

-------

* Only create `NFData` instances for GHC >= 7.4.1.

5.5.2.0

-------

* Documentation, clean-up and refactoring of various parts of the

library.

- As part of this, various types now have instances for classes

like `Show`, `Eq`, `Ord`, `NFData`, etc. where applicable.

- In particular, the various options for use with depth-first

search and shortest path queries was documented by David

Luposchainsky.

* Addition of a proper test-suite. So far it covers the

`Data.Graph.Inductive.Graph` module and all

`Data.Graph.Inductive.Query.*` modules except for `Monad`.

- The tests are also automatically run for every (set of) commits

thanks to Travis-CI.

* Arbitrary instances for the two graph types are now available in the

new `fgl-arbitrary` sub-package.

* Now depends solely on the `transformers` library rather than `mtl`.

* Potentially breaking changes:

These changes are those where the behaviour was un-specified or

didn't match the documentation.

- `nodeRange` and `nodeRangeM` for the various graph data

structures erroneously returned `(0,0)` for empty graphs (making

them indistinguishable from graphs containing the single node

`0`). They now match the default implementation of throwing an

error.

- The behaviour of `delLEdge` when dealing with multiple edges was

unspecified; it now deletes only a single edge and the new

function `delAllLEdge` deletes all edges matching the one

provided.

* Additional functions thanks to Sergiu Ivanov:

- Creating sub-graphs by `Node`- and `Context`-filtering as well

as induced by a set of `Node`s.

- Graph condensation (i.e. graph of

strongly-connected-components).

- Various edge- and neighbor-based helper functions.

* The graph types now have `Generic` instances thanks to Piotr

Mlodawski.

* The `OrdGr` wrapper by Trevor Cook allows performing `Ord`-based

comparisons on graphs.

5.5.1.0

-------

* Support added for GHC 7.10 by Herbert Valerio Riedel.

* Additional DFS query functions added by Conrad Parker.

* Repository location changed to GitHub.

* Code cleanup:

- Replaced usage of internal FiniteMap copy with Data.Map and

Data.Set from the containers library.

- Remove usage of data type contexts.

- Use newtypes where applicable.

5.5.0.1

-------

* Fix up Eq instances for Tree and PatriciaTree so that they work with

multiple edges.

5.5.0.0

-------

* Add proper Show, Read and Eq instances to Data.Graph.Inductive.Tree

and Data.Graph.Inductive.PatriciaTree.

* Add pretty-printing functions to Data.Graph.Inductive.Graph. These

are based upon the old Show implementation for

Data.Graph.Inductive.Tree.

* Now use PatriciaTree by default rather than Tree (and recommend as

such). IntMap has been receiving a lot of optimisation work on it,

whereas the internal FiniteMap implementation hasn't received any

attention.

* The `version :: IO ()` action now uses the actual Cabal version.

* Remove Data.Graph.Inductive.Graphviz; use the graphviz package

instead.

5.4.2.4

-------

* Update to work with GHC-7.2 and Cabal-1.6.

5.4.2.3

-------

* Maintainership taken over by Ivan Miljenovic.

* Allow Data.Graph.Inductive.PatriciaTree to deal with multiple edges

between nodes.

5.4.2.2 (November 2008)

-----------------------

* Bugfix in Graphviz.sq

5.4.2.1 (June 2008)

-------------------

* bug fix in bcc by Reid Barton

* added new dynamic graph implementation:

Data.Graph.Inductive.PatriciaTree (thanks to Pho)

* added test/benchmark.hs: a benchmark to compare Tree and PatriciaTree

implementations (thanks to Pho)

5.4.2 (May 2008)

----------------

* added Setup.hs to tar file

* reimplementation of Data.Graph.Inductive.Query.Dominators

by Bertram Felgenhauer:

It was buggy and very slow for large graphs. See

http://www.haskell.org/pipermail/haskell-cafe/2008-April/041739.html

This patch also adds a new function, iDom, that returns the

immediate dominators of the graph nodes.

* Exported xdf*With functions from DFS.hs

* many little cleanups thanks to many people

(use 'darcs changes' to see the details)

5.4 (April 2007)

----------------

* changed the implementation for inspection functions (suc, pred, ...)

to correct the behavior in the presence of loops (thanks to Ralf

Juengling for pointing out the inconsistency)

5.3 (June 2006)

---------------

* fixed a bug in findP (thanks to lnagy@fit.edu)

* added function delLEdge in Graph.hs (thanks to Jose Labra)

* changed implementation of updFM and mkGraph (thanks to Don Stewart)

February 2005

-------------

* fixed an import error in Basic.hs

* removed Eq instance of gr because it caused overlapping instance

problems. Instead the function equal defined in Graph.hs can be

used

* added some more functions to the export list of DFS.hs

* changed the definition of LPath into a newtype to avoid overlapping

instances with lists

* fixed the Makefile (for GHC and GHCi)

January 2004

------------

* bug fix for nearestNode (src/Data/Graph/Inductive/Query/GVD.hs)

Update contributed by Aetion Technologies LLC (www.aetion.com)

* Refactor into hierarchical namespace

* Build changes:

- build a standard haskell library (libHSfgl.a, HSfgl.o)

- install as ghc package (fgl), uses Auto so no -package is needed

* Automatic Node generation for labels: Data.Graph.Inductive.NodeMap

* Graphviz output: Data.Graph.Inductive.Graphviz

September 2002

--------------

* Introduction of graph classes

* Monadic graphs and graph computation monad

* Graph implementation based on balanced (AVL) trees

* Fast graph implementation based on IO arrays

* New algorithms:

- Maximum flow

- Articulation points

- biconnected components

- dominators

- transitive closure

* minor changes in utility functions

- changed signatures (swapped order of arguments) of

functions context and lab to be consistent with other graph functions

- changed function first in RootPath: not existing path is now reported

as an empty list and will not produce an error

- esp version that returns a list of labeled edges

(to find minimum label in maxflow algorithm)

- BFS uses amortized O(1) queue

- Heap stores key and value separately

- ...

March 2001

----------

* Changes to User Guide

* a couple of new functions

* some internal changes

April 2000

----------

* User Guide

* Systematic structure for all depth-first search functions

* Graph Voronoi diagram

* Several small changes and additions in utility functions

February 2000

-------------

* Representation for inward-directed trees

* Breadth-first search

* Dijkstra's algorithm

* Minimum-spanning-tree algorithm

August 1999

-----------

* First Haskell version

Depends on:

Used by 92 packages:

ajhc, algebra-dag, algebra-sql, alms, arith-encode, async-pool, BiobaseNewick, cabal-macosx, cabal-sort, caffegraph, camfort, CarneadesDSL, CarneadesIntoDung, ChristmasTree, clash-lib, clash-systemverilog, clash-verilog, clash-vhdl, cnc-spec-compiler, Coadjute, darcs, dbmigrations, derangement, diagrams-graphviz, DifferenceLogic, drifter, Emping, esotericbot, Etage-Graph, ethereum-analyzer, fgl-arbitrary, fgl-extras-decompositions, fgl-visualize, ForestStructures, fortran-src, fsmActions, funsat, gbu, ghc-vis, grammar-combinators, Graphalyze, graph-generators, graph-matchings, graph-utils, graphviz, haskell-platform-test, hdf, hit-graph, hopenpgp-tools, hub, ige, infernu, ivory-opts, jvm-parser, liquid-fixpoint, llvm-analysis, llvm-pretty-bc-parser, mallard, mathgenealogy, maxsharing, music-util, netcore, optimusprime, Paraiso, phybin, platinum-parsing, prolog-graph, prolog-graph-lib, rdf, RNAdesign, ruler-core, scenegraph, SciFlow, sifflet, sifflet-lib, SourceGraph, supermonad, taskpool, Taxonomy, TaxonomyTools, TBit, teams, tensorflow, tensorflow-ops, TestExplode, th-typegraph, typerbole, uhc-light, uhc-util, vampire, visual-graphrewrite, Zora

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