#include /* ------------------------------------------------------------------------------------------------------------------ */ /* */ typedef struct { c_size_t v; /* Current vertex */ c_size_t edge_idx; /* Next neighbor index to examine in the adjacency list */ } c_CycleFrame_t; /* ------------------------------------------------------------------------------------------------------------------ */ /* */ /* Private non-recursive DFS engine subroutine */ static void c_NonrecursiveDirectedCycle_Process(c_NonrecursiveDirectedCycle_t* self, const c_Digraph_t* graph, c_size_t root, c_CycleFrame_t* frame_stack) { c_size_t stack_size = 0; /* Push initial root activation frame entry */ self->marked[root] = C_TRUE; self->on_stack[root] = C_TRUE; frame_stack[stack_size++] = (c_CycleFrame_t){ .v = root, .edge_idx = 0 }; while (stack_size > 0) { c_CycleFrame_t* current_frame = &frame_stack[stack_size - 1]; c_size_t u = current_frame->v; c_AdjList_t* adj = &graph->adj_list[u]; c_size_t neighbor_count = (c_size_t)c_UIntArray_GetSize(adj); c_bool_t advanced = C_FALSE; while (current_frame->edge_idx < neighbor_count) { c_uint_t target_value = 0; c_err_t err = c_UIntArray_Get(adj, current_frame->edge_idx, &target_value); current_frame->edge_idx++; /* Advance neighbor loop pointer state */ if (err == C_SUCCESS) { c_size_t w = (c_size_t)target_value; /* Case A: Found an unvisited branch, push execution block down */ if (!self->marked[w]) { self->marked[w] = C_TRUE; self->on_stack[w] = C_TRUE; self->edge_to[w] = u; frame_stack[stack_size++] = (c_CycleFrame_t){ .v = w, .edge_idx = 0 }; advanced = C_TRUE; break; } /* Case B: Backedge detected (vertex is still active on stack) -> Cycle Found! */ else if (self->on_stack[w]) { c_size_t* reverse_stack = (c_size_t*)c_Allocator_Calloc(&self->allocator, graph->V, sizeof(c_size_t)); if (!reverse_stack) return; c_size_t trace_size = 0; for (c_size_t x = u; x != w; x = self->edge_to[x]) { reverse_stack[trace_size++] = x; } reverse_stack[trace_size++] = w; reverse_stack[trace_size++] = u; /* Build proper forward loop trail order inside cycle sequence container */ while (trace_size > 0) { c_VertexIdList_Append(&self->cycle, (c_uint_t)reverse_stack[--trace_size]); } c_Allocator_Free(&self->allocator, reverse_stack); return; /* Instantly yield loop upon detection */ } } } /* If short-circuit evaluation trapped a cycle at child nodes, cleanly escape up */ if (c_NonrecursiveDirectedCycle_HasCycle(self)) return; /* If all edges out of vertex u have been fully cleared, pop it from stack tracking */ if (!advanced) { self->on_stack[u] = C_FALSE; stack_size--; } } } c_err_t c_NonrecursiveDirectedCycle_Init(c_NonrecursiveDirectedCycle_t* self, const c_Digraph_t* graph, c_Allocator_t* allocator) { if (!self || !graph) return C_ERR_PARAM; self->allocator = allocator ? *allocator : c_DefaultAllocator; self->marked = (c_bool_t*)c_Allocator_Calloc(&self->allocator, graph->V, sizeof(c_bool_t)); self->edge_to = (c_size_t*)c_Allocator_Calloc(&self->allocator, graph->V, sizeof(c_size_t)); self->on_stack = (c_bool_t*)c_Allocator_Calloc(&self->allocator, graph->V, sizeof(c_bool_t)); c_VertexIdList_Init(&self->cycle, 0, allocator); if (!self->marked || !self->edge_to || !self->on_stack) { c_NonrecursiveDirectedCycle_Destroy(self); return C_ERR_NOMEM; } /* Allocate explicit local runtime runtime loop frame stack structure sized O(V) */ c_CycleFrame_t* frame_stack = (c_CycleFrame_t*)c_Allocator_Calloc(&self->allocator, graph->V, sizeof(c_CycleFrame_t)); if (!frame_stack) { c_NonrecursiveDirectedCycle_Destroy(self); return C_ERR_NOMEM; } /* Sweep disconnected structural pockets across graph nodes boundary safely */ for (c_size_t v = 0; v < graph->V; ++v) { if (!self->marked[v] && !c_NonrecursiveDirectedCycle_HasCycle(self)) { c_NonrecursiveDirectedCycle_Process(self, graph, v, frame_stack); } } c_Allocator_Free(&self->allocator, frame_stack); return C_SUCCESS; } void c_NonrecursiveDirectedCycle_Destroy(c_NonrecursiveDirectedCycle_t* self) { if (!self) return; if (self->marked) c_Allocator_Free(&self->allocator, self->marked); if (self->edge_to) c_Allocator_Free(&self->allocator, self->edge_to); if (self->on_stack) c_Allocator_Free(&self->allocator, self->on_stack); c_VertexIdList_Destroy(&self->cycle); self->marked = NULL; self->edge_to = NULL; self->on_stack = NULL; } c_err_t c_NonrecursiveDirectedCycle_GetCycle(c_NonrecursiveDirectedCycle_t* self, c_VertexIdList_t* out_cycle) { if (!self || !out_cycle) return C_ERR_PARAM; if (!c_NonrecursiveDirectedCycle_HasCycle(self)) return C_ERR_FAIL; c_size_t size = (c_size_t)c_VertexIdList_GetSize(&self->cycle); for (c_size_t i = 0; i < size; ++i) { c_uint_t val = 0; c_err_t err = c_VertexIdList_Get((c_VertexIdList_t*)&self->cycle, i, &val); if (err == C_SUCCESS) { c_err_t app_err = c_VertexIdList_Append(out_cycle, val); if (app_err != C_SUCCESS) return app_err; } } return C_SUCCESS; }