#include #define CYCLE_SENTINEL ((c_size_t)-1) typedef struct { c_size_t v; /* Current vertex index */ c_size_t edge_idx; /* Next neighbor index to pull from adjacency out-list */ } c_DigraphCycleFrame_t; /* Private non-recursive DFS machine loop processor */ static void c_EdgeWeightedDirectedCycle_Process(c_EdgeWeightedDirectedCycle_t* self, c_EdgeWeightedDigraph_t* graph, c_size_t root, c_DigraphCycleFrame_t* frame_stack) { c_size_t stack_size = 0; /* Push initial root activation block onto structural runtime stack */ self->marked[root] = C_TRUE; self->on_stack[root] = C_TRUE; frame_stack[stack_size++] = (c_DigraphCycleFrame_t){ .v = root, .edge_idx = 0 }; while (stack_size > 0) { c_DigraphCycleFrame_t* current_frame = &frame_stack[stack_size - 1]; c_size_t u = current_frame->v; c_UIntArray_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 generic_edge_id = 0; c_err_t err = c_UIntArray_Get(adj, current_frame->edge_idx, &generic_edge_id); current_frame->edge_idx++; /* Advance out-list pointer position */ if (err == C_SUCCESS) { c_size_t edge_id = (c_size_t)generic_edge_id; c_size_t w = graph->edges_pool[edge_id].to; /* Case A: Encountered an unvisited node, simulate recursive call descent */ if (!self->marked[w]) { self->marked[w] = C_TRUE; self->on_stack[w] = C_TRUE; self->edge_to[w] = edge_id; frame_stack[stack_size++] = (c_DigraphCycleFrame_t){ .v = w, .edge_idx = 0 }; advanced = C_TRUE; break; } /* Case B: Backedge detected (target node is currently alive on stack) -> Cycle Trapped! */ 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; reverse_stack[trace_size++] = edge_id; /* Seal final back edge closing the loop */ /* Trace backward using edge origin nodes until reaching intersection w */ c_size_t curr_v = u; while (curr_v != w) { c_size_t prev_edge_id = self->edge_to[curr_v]; if (prev_edge_id == CYCLE_SENTINEL) break; reverse_stack[trace_size++] = prev_edge_id; curr_v = graph->edges_pool[prev_edge_id].from; } /* Append elements forward into persistent container matching execution path */ while (trace_size > 0) { c_VertexIdList_Append(&self->cycle, (c_uint_t)reverse_stack[--trace_size]); } c_Allocator_Free(&self->allocator, reverse_stack); return; /* Return instantly to stop unnecessary processing */ } } } /* Short-circuit bubbling up if an evaluation path already verified a cycle */ if (c_EdgeWeightedDirectedCycle_HasCycle(self)) return; /* If all outbound avenues from node u are fully parsed, pop it from execution tracking */ if (!advanced) { self->on_stack[u] = C_FALSE; stack_size--; } } } c_err_t c_EdgeWeightedDirectedCycle_Init(c_EdgeWeightedDirectedCycle_t* self, c_EdgeWeightedDigraph_t* graph, c_Allocator_t* allocator) { if (!self || !graph) return C_ERR_PARAM; self->allocator = allocator ? *allocator : c_DefaultAllocator; c_VertexIdList_Init(&self->cycle, 0, allocator); if (graph->V == 0) return C_SUCCESS; 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)); if (!self->marked || !self->edge_to || !self->on_stack) { c_EdgeWeightedDirectedCycle_Destroy(self); return C_ERR_NOMEM; } for (c_size_t i = 0; i < graph->V; ++i) { self->edge_to[i] = CYCLE_SENTINEL; } /* Allocate continuous explicit compiler-emulated frame scratch buffer stack O(V) */ c_DigraphCycleFrame_t* frame_stack = (c_DigraphCycleFrame_t*)c_Allocator_Calloc(&self->allocator, graph->V, sizeof(c_DigraphCycleFrame_t)); if (!frame_stack) { c_EdgeWeightedDirectedCycle_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_EdgeWeightedDirectedCycle_HasCycle(self)) { c_EdgeWeightedDirectedCycle_Process(self, graph, v, frame_stack); } } c_Allocator_Free(&self->allocator, frame_stack); return C_SUCCESS; } void c_EdgeWeightedDirectedCycle_Destroy(c_EdgeWeightedDirectedCycle_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_EdgeWeightedDirectedCycle_GetCycle(c_EdgeWeightedDirectedCycle_t* self, c_VertexIdList_t* out_cycle) { if (!self || !out_cycle) return C_ERR_PARAM; if (!c_EdgeWeightedDirectedCycle_HasCycle(self)) return C_ERR_FAIL; /* Copy pre-computed internal cycle sequence using high-speed block layout rules */ return c_UIntArray_Copy(out_cycle, (c_UIntArray_t*)&self->cycle); }