-module(yog). -compile([no_auto_import, nowarn_unused_vars, nowarn_unused_function, nowarn_nomatch, inline]). -define(FILEPATH, "src/yog.gleam"). -export([new/1, directed/0, undirected/0, add_node/3, add_edge/4, add_unweighted_edge/3, add_simple_edge/3, successors/2, predecessors/2, neighbors/2, all_nodes/1, successor_ids/2]). -if(?OTP_RELEASE >= 27). -define(MODULEDOC(Str), -moduledoc(Str)). -define(DOC(Str), -doc(Str)). -else. -define(MODULEDOC(Str), -compile([])). -define(DOC(Str), -compile([])). -endif. ?MODULEDOC( " Yog - A comprehensive graph algorithm library for Gleam.\n" "\n" " Provides efficient implementations of classic graph algorithms with a\n" " clean, functional API.\n" "\n" " ## Quick Start\n" "\n" " ```gleam\n" " import yog\n" " import yog/pathfinding\n" " import gleam/int\n" "\n" " pub fn main() {\n" " let graph =\n" " yog.directed()\n" " |> yog.add_node(1, \"Start\")\n" " |> yog.add_node(2, \"Middle\")\n" " |> yog.add_node(3, \"End\")\n" " |> yog.add_edge(from: 1, to: 2, with: 5)\n" " |> yog.add_edge(from: 2, to: 3, with: 3)\n" " |> yog.add_edge(from: 1, to: 3, with: 10)\n" "\n" " case pathfinding.shortest_path(\n" " in: graph,\n" " from: 1,\n" " to: 3,\n" " with_zero: 0,\n" " with_add: int.add,\n" " with_compare: int.compare\n" " ) {\n" " Some(path) -> {\n" " // Path(nodes: [1, 2, 3], total_weight: 8)\n" " io.println(\"Shortest path found!\")\n" " }\n" " None -> io.println(\"No path exists\")\n" " }\n" " }\n" " ```\n" "\n" " ## Modules\n" "\n" " ### Core\n" " - **`yog/model`** - Graph data structures and basic operations\n" " - Create directed/undirected graphs\n" " - Add nodes and edges\n" " - Query successors, predecessors, neighbors\n" "\n" " - **`yog/builder/labeled`** - Build graphs with arbitrary labels\n" " - Use strings or any type as node identifiers\n" " - Automatically maps labels to internal integer IDs\n" " - Convert to standard Graph for use with all algorithms\n" "\n" " ### Algorithms\n" " - **`yog/pathfinding`** - Shortest path algorithms\n" " - Dijkstra's algorithm (non-negative weights)\n" " - A* search (with heuristics)\n" " - Bellman-Ford (negative weights, cycle detection)\n" "\n" " - **`yog/traversal`** - Graph traversal\n" " - Breadth-First Search (BFS)\n" " - Depth-First Search (DFS)\n" " - Early termination support\n" "\n" " - **`yog/mst`** - Minimum Spanning Tree\n" " - Kruskal's algorithm with Union-Find\n" "\n" " - **`yog/topological_sort`** - Topological ordering\n" " - Kahn's algorithm\n" " - Lexicographical variant (heap-based)\n" "\n" " - **`yog/components`** - Connected components\n" " - Tarjan's algorithm for Strongly Connected Components (SCC)\n" "\n" " - **`yog/connectivity`** - Graph connectivity analysis\n" " - Tarjan's algorithm for bridges and articulation points\n" "\n" " - **`yog/min_cut`** - Minimum cut algorithms\n" " - Stoer-Wagner algorithm for global minimum cut\n" "\n" " ### Data Structures\n" " - **`yog/disjoint_set`** - Union-Find / Disjoint Set\n" " - Path compression and union by rank\n" " - O(α(n)) amortized operations (practically constant)\n" " - Dynamic connectivity queries\n" " - Generic over any type\n" "\n" " ### Transformations\n" " - **`yog/transform`** - Graph transformations\n" " - Transpose (O(1) edge reversal!)\n" " - Map nodes and edges (functor operations)\n" " - Filter nodes with auto-pruning\n" " - Merge graphs\n" "\n" " ### Visualization\n" " - **`yog/render`** - Graph visualization\n" " - Mermaid diagram generation (GitHub/GitLab compatible)\n" " - Path highlighting for algorithm results\n" " - Customizable node and edge labels\n" "\n" " ## Features\n" "\n" " - **Functional and Immutable**: All operations return new graphs\n" " - **Generic**: Works with any node/edge data types\n" " - **Type-Safe**: Leverages Gleam's type system\n" " - **Well-Tested**: 454+ tests covering all algorithms and data structures\n" " - **Efficient**: Optimal data structures (pairing heaps, union-find)\n" " - **Documented**: Every function has examples\n" ). -file("src/yog.gleam", 135). ?DOC( " Creates a new empty graph of the specified type.\n" "\n" " ## Example\n" "\n" " ```gleam\n" " import yog\n" " import yog/model.{Directed}\n" "\n" " let graph = yog.new(Directed)\n" " ```\n" ). -spec new(yog@model:graph_type()) -> yog@model:graph(any(), any()). new(Graph_type) -> yog@model:new(Graph_type). -file("src/yog.gleam", 155). ?DOC( " Creates a new empty directed graph.\n" "\n" " This is a convenience function that's equivalent to `yog.new(Directed)`,\n" " but requires only a single import.\n" "\n" " ## Example\n" "\n" " ```gleam\n" " import yog\n" "\n" " let graph =\n" " yog.directed()\n" " |> yog.add_node(1, \"Start\")\n" " |> yog.add_node(2, \"End\")\n" " |> yog.add_edge(from: 1, to: 2, with: 10)\n" " ```\n" ). -spec directed() -> yog@model:graph(any(), any()). directed() -> yog@model:new(directed). -file("src/yog.gleam", 175). ?DOC( " Creates a new empty undirected graph.\n" "\n" " This is a convenience function that's equivalent to `yog.new(Undirected)`,\n" " but requires only a single import.\n" "\n" " ## Example\n" "\n" " ```gleam\n" " import yog\n" "\n" " let graph =\n" " yog.undirected()\n" " |> yog.add_node(1, \"A\")\n" " |> yog.add_node(2, \"B\")\n" " |> yog.add_edge(from: 1, to: 2, with: 5)\n" " ```\n" ). -spec undirected() -> yog@model:graph(any(), any()). undirected() -> yog@model:new(undirected). -file("src/yog.gleam", 189). ?DOC( " Adds a node to the graph with the given ID and data.\n" " If a node with this ID already exists, its data will be replaced.\n" "\n" " ## Example\n" "\n" " ```gleam\n" " graph\n" " |> yog.add_node(1, \"Node A\")\n" " |> yog.add_node(2, \"Node B\")\n" " ```\n" ). -spec add_node(yog@model:graph(EGL, EGM), integer(), EGL) -> yog@model:graph(EGL, EGM). add_node(Graph, Id, Data) -> yog@model:add_node(Graph, Id, Data). -file("src/yog.gleam", 204). ?DOC( " Adds an edge to the graph with the given weight.\n" "\n" " For directed graphs, adds a single edge from `src` to `dst`.\n" " For undirected graphs, adds edges in both directions.\n" "\n" " ## Example\n" "\n" " ```gleam\n" " graph\n" " |> yog.add_edge(from: 1, to: 2, with: 10)\n" " ```\n" ). -spec add_edge(yog@model:graph(EGR, EGS), integer(), integer(), EGS) -> yog@model:graph(EGR, EGS). add_edge(Graph, Src, Dst, Weight) -> yog@model:add_edge(Graph, Src, Dst, Weight). -file("src/yog.gleam", 226). ?DOC( " Adds an unweighted edge to the graph.\n" "\n" " This is a convenience function for graphs where edges have no meaningful weight.\n" " Uses `Nil` as the edge data type.\n" "\n" " ## Example\n" "\n" " ```gleam\n" " let graph: Graph(String, Nil) = yog.directed()\n" " |> yog.add_node(1, \"A\")\n" " |> yog.add_node(2, \"B\")\n" " |> yog.add_unweighted_edge(from: 1, to: 2)\n" " ```\n" ). -spec add_unweighted_edge(yog@model:graph(EGX, nil), integer(), integer()) -> yog@model:graph(EGX, nil). add_unweighted_edge(Graph, Src, Dst) -> yog@model:add_edge(Graph, Src, Dst, nil). -file("src/yog.gleam", 247). ?DOC( " Adds a simple edge with weight 1.\n" "\n" " This is a convenience function for graphs with integer weights where\n" " a default weight of 1 is appropriate (e.g., unweighted graphs, hop counts).\n" "\n" " ## Example\n" "\n" " ```gleam\n" " graph\n" " |> yog.add_simple_edge(from: 1, to: 2)\n" " |> yog.add_simple_edge(from: 2, to: 3)\n" " // Both edges have weight 1\n" " ```\n" ). -spec add_simple_edge(yog@model:graph(EHC, integer()), integer(), integer()) -> yog@model:graph(EHC, integer()). add_simple_edge(Graph, Src, Dst) -> yog@model:add_edge(Graph, Src, Dst, 1). -file("src/yog.gleam", 257). ?DOC( " Gets nodes you can travel TO from the given node (successors).\n" " Returns a list of tuples containing the destination node ID and edge data.\n" ). -spec successors(yog@model:graph(any(), EHI), integer()) -> list({integer(), EHI}). successors(Graph, Id) -> yog@model:successors(Graph, Id). -file("src/yog.gleam", 263). ?DOC( " Gets nodes you came FROM to reach the given node (predecessors).\n" " Returns a list of tuples containing the source node ID and edge data.\n" ). -spec predecessors(yog@model:graph(any(), EHN), integer()) -> list({integer(), EHN}). predecessors(Graph, Id) -> yog@model:predecessors(Graph, Id). -file("src/yog.gleam", 270). ?DOC( " Gets all nodes connected to the given node, regardless of direction.\n" " For undirected graphs, this is equivalent to successors.\n" " For directed graphs, this combines successors and predecessors.\n" ). -spec neighbors(yog@model:graph(any(), EHS), integer()) -> list({integer(), EHS}). neighbors(Graph, Id) -> yog@model:neighbors(Graph, Id). -file("src/yog.gleam", 275). ?DOC(" Returns all unique node IDs that have edges in the graph.\n"). -spec all_nodes(yog@model:graph(any(), any())) -> list(integer()). all_nodes(Graph) -> yog@model:all_nodes(Graph). -file("src/yog.gleam", 281). ?DOC( " Returns just the NodeIds of successors (without edge data).\n" " Convenient for traversal algorithms that only need the IDs.\n" ). -spec successor_ids(yog@model:graph(any(), any()), integer()) -> list(integer()). successor_ids(Graph, Id) -> yog@model:successor_ids(Graph, Id).