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// Copyright 2017 The Abseil Authors.
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// See the License for the specific language governing permissions and
// limitations under the License.
// GraphCycles detects the introduction of a cycle into a directed
// graph that is being built up incrementally.
// Nodes are identified by small integers. It is not possible to
// record multiple edges with the same (source, destination) pair;
// requests to add an edge where one already exists are silently
// ignored.
// It is also not possible to introduce a cycle; an attempt to insert
// an edge that would introduce a cycle fails and returns false.
// GraphCycles uses no internal locking; calls into it should be
// serialized externally.
// Performance considerations:
// Works well on sparse graphs, poorly on dense graphs.
// Extra information is maintained incrementally to detect cycles quickly.
// InsertEdge() is very fast when the edge already exists, and reasonably fast
// otherwise.
// FindPath() is linear in the size of the graph.
// The current implemenation uses O(|V|+|E|) space.
#include <cstdint>
namespace absl {
inline namespace lts_2018_12_18 {
namespace synchronization_internal {
// Opaque identifier for a graph node.
struct GraphId {
uint64_t handle;
bool operator==(const GraphId& x) const { return handle == x.handle; }
bool operator!=(const GraphId& x) const { return handle != x.handle; }
// Return an invalid graph id that will never be assigned by GraphCycles.
inline GraphId InvalidGraphId() {
return GraphId{0};
class GraphCycles {
// Return the id to use for ptr, assigning one if necessary.
// Subsequent calls with the same ptr value will return the same id
// until Remove().
GraphId GetId(void* ptr);
// Remove "ptr" from the graph. Its corresponding node and all
// edges to and from it are removed.
void RemoveNode(void* ptr);
// Return the pointer associated with id, or nullptr if id is not
// currently in the graph.
void* Ptr(GraphId id);
// Attempt to insert an edge from source_node to dest_node. If the
// edge would introduce a cycle, return false without making any
// changes. Otherwise add the edge and return true.
bool InsertEdge(GraphId source_node, GraphId dest_node);
// Remove any edge that exists from source_node to dest_node.
void RemoveEdge(GraphId source_node, GraphId dest_node);
// Return whether node exists in the graph.
bool HasNode(GraphId node);
// Return whether there is an edge directly from source_node to dest_node.
bool HasEdge(GraphId source_node, GraphId dest_node) const;
// Return whether dest_node is reachable from source_node
// by following edges.
bool IsReachable(GraphId source_node, GraphId dest_node) const;
// Find a path from "source" to "dest". If such a path exists,
// place the nodes on the path in the array path[], and return
// the number of nodes on the path. If the path is longer than
// max_path_len nodes, only the first max_path_len nodes are placed
// in path[]. The client should compare the return value with
// max_path_len" to see when this occurs. If no path exists, return
// 0. Any valid path stored in path[] will start with "source" and
// end with "dest". There is no guarantee that the path is the
// shortest, but no node will appear twice in the path, except the
// source and destination node if they are identical; therefore, the
// return value is at most one greater than the number of nodes in
// the graph.
int FindPath(GraphId source, GraphId dest, int max_path_len,
GraphId path[]) const;
// Update the stack trace recorded for id with the current stack
// trace if the last time it was updated had a smaller priority
// than the priority passed on this call.
// *get_stack_trace is called to get the stack trace.
void UpdateStackTrace(GraphId id, int priority,
int (*get_stack_trace)(void**, int));
// Set *ptr to the beginning of the array that holds the recorded
// stack trace for id and return the depth of the stack trace.
int GetStackTrace(GraphId id, void*** ptr);
// Check internal invariants. Crashes on failure, returns true on success.
// Expensive: should only be called from
bool CheckInvariants() const;
// ----------------------------------------------------
struct Rep;
Rep *rep_; // opaque representation
GraphCycles(const GraphCycles&) = delete;
GraphCycles& operator=(const GraphCycles&) = delete;
} // namespace synchronization_internal
} // inline namespace lts_2018_12_18
} // namespace absl