LGenerics

Collection of algorithms and data structures organized as a Lazarus package. In order to use (FPC 3.2.2 and higher and Lazarus 2.2.0 and higher):

• download the package sources.
• open the lgenerics/LGenerics.lpk package so Lazarus knows about it.
• add LGenerics package to your project dependencies.

Implemented primitives:

• stack(unit lgStack)
• queue(unit lgQueue)
• deque(unit lgDeque)
• vector(unit lgVector)
• vector of bits(unit lgVector)
• priority queue based on binary heap(unit lgPriorityQueue)
• priority queue with key update and melding based on pairing heap(unit lgPriorityQueue)
• sorted list(unit lgList)
• hashed list - array based list with the ability to fast search by key(unit lgList)
• hashset(unit lgHashSet)
• fine-grained concurrent hashset(unit lgHashSet)
• sorted set(unit lgTreeSet)
• set of arbitrary size(unit lgUtil, TGSet)
• hash multiset(unit lgHashMultiSet)
• fine-grained concurrent hashmultiset(unit lgHashMultiSet)
• sorted multiset(unit lgTreeMultiSet)
• hashmap(unit lgHashMap)
• fine-grained concurrent hashmap(unit lgHashMap)
• sorted map(unit lgTreeMap)
• hash multimap(unit lgMultiMap)
• tree multimap(unit lgMultiMap)
• list miltimap(unit lgMultiMap)
• bijective map(unit lgBiMap)
• sparse 2D table(unit lgTable2D)
• disjoint set(unit lgHashSet)
• AVL tree(unit lgAvlTree)
• red-black tree(unit lgRbTree)
• some treap variants(unit lgTreap)
• general rooted tree(unit lgRootTree)
• sparse labeled undirected graph(unit lgSimpleGraph)
• sparse labeled directed graph(unit lgSimpleDigraph)

features:

• extended IEnumearble interface - filtering, mapping, etc.
• lite containers based on advanced records

Implemented graph features:

• core functions:
  • vertices/edges addition/removal/query/enumeration, edge contraction, degree
  • load/save to own binary format, primitive export to DOT format
• connectivity:
  • connected/strongly connected components, bipartite detection, degeneracy, k-core
  • articulation points, bridges, biconnected components
  • edge-connectivity
• traversals:
  • BFS/DFS traversals with visitors,
  • cycle/negative cycle detection,
  • topological sort
• operations:
  • induced subgraphs, complement, reverse, union, intersect, symmetric difference,
• chordality testing
• planarity testing: FMR Left-Right Planarity algorithm
• distance within graph:
  • eccentricity, radius, diameter, center, periphery
• matching:
  • maximum cardinality matching on bipartite/arbitrary graphs
  • minimum/maximum weight matching on bipartite graphs
• dominators in flowgraps: simple iterative and Semi-NCA algorithms
• some suggestions for NP-hard problems:
  • maximum independent set, maximal independent sets enumeration
  • maximum clique, cliques enumeration
  • minimum vertex cover, minimal vertex covers enumeration
  • vertex coloring, approximations and exact
  • minimum dominating set
  • Hamiltonian cycles and paths
  • local search TSP approximations, BnB TSP solver
• minimum spanning trees: Prims's and Kruskal's algorithms
• single source shortest paths:
  • Dijkstra with pairing heap, Bellman-Ford-Moor with Tarjan's subtree disassembly(BFMT)
• single pair shortest paths:
  • Dijkstra with binary heap, BFMT, bidirection Dijkstra, A*, NBA*
• all pairs shortest paths:
  • Floyd–Warshall, Johnson, BFMT
• networks:
  • maximum flow: push/relabel, capacity scaling Dinitz
  • minimum-cost flow: Busacker-Gowen, cost scaling push/relabel algorithm
  • global minimum cut: Stoer–Wagner, Nagamochi-Ibaraki

Algorithms on arrays and vectors(mostly unit lgArrayHelpers):

• reverse, right/left cyclic shifts
• permutations
• binary search
• N-th order statistics
• inversion counting
• distinct values selection
• introsort
• mergesort
• timsort(unit lgMiscUtils)
• counting sort
• radix sort
• translation of Orson Peters' PDQSort algorithm
• static segment tree
• longest increasing subsequence
• ...

Algorithms on strings and sequences(units lgStrHelpers, lgSeqUtils)

• Boyer-Moore string matching algorithm(in Fast Search variant)
• Boyer-Moore-Horspool-Raita algorithm
• Aho-Corasick automation for multiple string matching
• longest common subsequence of two sequences:
  • reducing the LCS problem to LIS
  • Kumar-Rangan algorithm for LCS
  • Myers O(ND) algorithm for LCS
• Levenshtein distance:
  • simple DP algorithm
  • modified Berghel-Roach algorithm
  • Myers bit-vector algorithm with cut-off heuristic
• LCS distance:
  • O(NP) Wu-Manber-Myers-Miller LCS distance algorithm
• restricted Damerau-Levenshtein distance
  • modified Berghel-Roach algorithm
• fuzzy string matching with k differences
  • Ukkonen EDP algorithm
• fuzzy string matching with k mismatches
  • using bitap algorithm
• fuzzy string matching with preprocessing(something similar to fuzzywuzzy)

Other:

• non-cryptogarphic hashes(unit lgHash):
  • Yann Collet's xxHash32, xxHash64
  • Austin Appleby's MurmurHash2, MurmurHash2A, MurmurHash3_x86_32, MurmurHash64A
• brief and dirty implementation of futures concept(unit lgAsync)
• brief channel implementation(unit lgAsync)
• brief implementation of thread pool(unit lgAsync)
• 128-bit integers(unit lgInt128)
• JSON validator/parser/generator(unit lgJson)
• JSON Patch/Diff(unit lgJson)
• JSON serialization/deserialization of native Pascal data structures using RTTI(unit lgPdo)
• JSON Type Definition schemas(unit lgJsonTypeDef)
  • validating a JSON document against a JTD schema(unit lgJsonTypeDef)
  • generating Pascal code from a JTD schema(unit lgJtdCodegen)
  • inferring JTD schemas from example data(unit lgJtdInfer)
• JSONPath implementation(unit LgJsonPath)
• CSV document processing(unit lgCsvUtils)
• Eisel-Lemire fast string-to-double conversion algorithm(unit lgJson)
• Ryū double-to-string conversion algorithm(unit lgJson)