#ifndef INCLUDED_C_FLOYDWARSHALL_H #define INCLUDED_C_FLOYDWARSHALL_H #ifndef INCLUDED_C_EDGEWEIGHTEDDIGRAPH_H #include #endif /*INCLUDED_C_EDGEWEIGHTEDDIGRAPH_H*/ #ifndef INCLUDED_C_EDGEIDLIST_H #include #endif /*INCLUDED_C_EDGEIDLIST_H*/ /* ------------------------------------------------------------------------------------------------------------------ */ /* */ typedef struct { double** dist_to; /* dist_to[u][v] = distance of shortest path from u to v */ c_size_t** next_vertex; /* next_vertex[u][v] = immediate next vertex on path from u to v */ c_size_t** edge_to; /* edge_to[u][v] = global directed edge_id for choice transition u -> next */ c_size_t V; /* Total number of vertices in the digraph */ c_bool_t has_neg_cycle; /* Flag indicating if a negative cycle was intercepted */ c_Allocator_t allocator; /* Deep copy of the user-provided allocator */ } c_FloydWarshall_t; /* ------------------------------------------------------------------------------------------------------------------ */ /* */ /** * @brief Computes all-pairs shortest paths in a general edge-weighted digraph. * @param allocator Explicit allocator context used to configure internal tracking state memory */ c_err_t c_FloydWarshall_Init(c_FloydWarshall_t* self, c_EdgeWeightedDigraph_t* graph, c_Allocator_t* allocator); /** * @brief Releases internal tracking buffers safely. */ void c_FloydWarshall_Destroy(c_FloydWarshall_t* self); /** * @brief Is there a directed path from vertex 'u' to vertex 'v'? */ C_STATIC_FORCE_INLINE c_bool_t c_FloydWarshall_HasPath(c_FloydWarshall_t* self, c_size_t u, c_size_t v) { if (!self || self->has_neg_cycle || u >= self->V || v >= self->V || !self->dist_to) return C_FALSE; return self->dist_to[u][v] < DBL_MAX; } /** * @brief Returns the distance of the shortest path from vertex 'u' to vertex 'v'. * @return Distance value, or DBL_MAX if unreachable / parameter error */ C_STATIC_FORCE_INLINE double c_FloydWarshall_Dist(c_FloydWarshall_t* self, c_size_t u, c_size_t v) { if (!self || u >= self->V || v >= self->V || !self->dist_to) return DBL_MAX; if (self->has_neg_cycle) return -DBL_MAX; return self->dist_to[u][v]; } /** * @brief Does the edge-weighted digraph contain any negative cycles? */ C_STATIC_FORCE_INLINE c_bool_t c_FloydWarshall_HasNegativeCycle(c_FloydWarshall_t* self) { return self ? self->has_neg_cycle : C_FALSE; } /** * @brief Reconstructs the exact shortest path from vertex 'u' to vertex 'v' and appends it to out_path. * @param out_path An initialized c_EdgeIdList_t container to collect the sequence of global directed edge_ids. */ c_err_t c_FloydWarshall_Path(c_FloydWarshall_t* self, c_size_t u, c_size_t v, c_EdgeIdList_t* out_path); #endif /*INCLUDED_C_FLOYDWARSHALL_H*/