Understanding the ABA Problem in Lock-Free Data Structures

Recently, I studied the ABA problem in lock-free stacks, and I would like to share my insights.Lock-free data structures are data structures implemented using CAS (Compare and Swap). In contrast, traditional data structures use locks.On CPUs with multiple hardware threads, lock-free data structures improve performance as the number of threads increases; whereas, lock-based data structures experience performance degradation with an increase in thread count.Lock-free data structures can achieve true parallelism, while lock-based structures are effectively serial due to lock contention.Understanding the ABA Problem in Lock-Free Data StructuresCAS

In C++, the CAS (Compare-And-Swap) operation is primarily implemented through the member functions compare_exchange_weak and compare_exchange_strong of the std::atomic class template. Both functions can atomically perform the comparison and swap operation.

bool compare_exchange_weak(T& expected, T desired,                          std::memory_order success,                          std::memory_order failure) noexcept;bool compare_exchange_strong(T& expected, T desired,                           std::memory_order success,                           std::memory_order failure) noexcept;

Parameter descriptions:

expected: A reference parameter that receives the expected value; if CAS fails, it will be updated to the current value.

desired: The new value that is desired to be set.

success: The memory order when CAS is successful.

failure: The memory order when CAS fails.

The comparison between these two functions is as follows:

Feature compare_exchange_weak compare_exchange_strong
False failure May occur Will not occur
Performance Higher Lower
Usage scenario Within a loop Single attempt
Code pattern <span>while (!cas_weak(...))</span> <span>if (cas_strong(...))</span>

Consider the following code, assuming there are two threads. Scenario 1: Before thread 1 executes head.compare_exchange_weak, thread 2 has not changed the value of head. At this point, thread 1 will atomically compare head and old_head, find them equal, and assign old_head->next to head. Scenario 2: Before thread 1 executes head.compare_exchange_weak, thread 2 has changed the value of head. In this case, thread 1 will atomically compare head and old_head, find them unequal, and assign head to old_head.

#include <atomic>#include <memory>#include <iostream>struct Node {    std::shared_ptr<int> data;  // Using shared_ptr to manage data    Node* next;    Node(const int& value) : data(std::make_shared<int>(value)), next(nullptr) {}};int main() {    std::atomic<Node*> head;    Node* old_head = head.load(std::memory_order_relaxed);    Node* new_head = nullptr;    do {        if (!old_head) break;        // Safely read the next pointer within the loop    } while (!head.compare_exchange_weak(old_head, old_head->next,                                        std::memory_order_acquire,                                        std::memory_order_relaxed));    return 0;}

It is important to note that only the compare_exchange_weak function is atomic, while the operations of assigning values to the function parameters are not. This point is quite significant for understanding the ABA problem; one cannot consider the reading of old_head, reading of old_head->next, and the compare_exchange_weak operation as a single atomic operation. For more details, please refer to the assembly code below.

Understanding the ABA Problem in Lock-Free Data StructuresLock-Free StackIn the following sections, I will use the lock-free stack as an example to introduce the ABA problem, so let’s first look at the implementation code.

#include <atomic>#include <memory>#include <iostream>#include <thread>#include <vector>#include <random>// Lock-free stack template classtemplate<typename T>class LockFreeStack {private:    // Stack node structure    struct Node {        std::shared_ptr<T> data;  // Using shared_ptr to manage data        Node* next;        Node(const T& value) : data(std::make_shared<T>(value)), next(nullptr) {}    };    // Head node pointer    std::atomic<Node*> head;public:    LockFreeStack() : head(nullptr) {}    // Disable copy constructor and assignment    LockFreeStack(const LockFreeStack&) = delete;    LockFreeStack& operator=(const LockFreeStack&) = delete;    ~LockFreeStack() {        // Clear the stack during destruction        while (pop());    }    // Push operation    void push(const T& value) {        Node* new_node = new Node(value);        new_node->next = head.load(std::memory_order_relaxed);        // Use CAS operation to update the head node        while (!head.compare_exchange_weak(new_node->next, new_node,                                          std::memory_order_release,                                          std::memory_order_relaxed));    }    // Pop operation, returns the data's shared_ptr    std::shared_ptr<T> pop() {        Node* old_head = head.load(std::memory_order_relaxed);        // Use CAS operation to update the head node        while (old_head &&                !head.compare_exchange_weak(old_head, old_head->next,                                          std::memory_order_acquire,                                          std::memory_order_relaxed));        if (!old_head) {            return std::shared_ptr<T>();  // Stack is empty, return null pointer        }        std::shared_ptr<T> res = old_head->data;  // Get data        delete old_head;  // Delete node        return res;    }    // Check if the stack is empty    bool empty() const {        return head.load(std::memory_order_acquire) == nullptr;    }    // Get the top element (without popping)    std::shared_ptr<T> top() const {        Node* current_head = head.load(std::memory_order_acquire);        if (!current_head) {            return std::shared_ptr<T>();        }        return current_head->data;    }};// Basic functionality testvoid basic_function_test() {    std::cout << "=== Basic Function Test ===\n";    LockFreeStack<int> stack;    // Test empty stack    std::cout << "Empty stack test: " << (stack.empty() ? "Passed" : "Failed") << std::endl;    // Test push and pop    stack.push(1);    stack.push(2);    stack.push(3);    auto top_val = stack.top();    if (top_val && *top_val == 3) {        std::cout << "Top test: Passed" << std::endl;    } else {        std::cout << "Top test: Failed" << std::endl;    }    auto val3 = stack.pop();    auto val2 = stack.pop();    auto val1 = stack.pop();    auto val_empty = stack.pop();    if (val3 && *val3 == 3 && val2 && *val2 == 2 && val1 && *val1 == 1 && !val_empty) {        std::cout << "Push/Pop test: Passed" << std::endl;    } else {        std::cout << "Push/Pop test: Failed" << std::endl;    }    std::cout << "Empty after pops: " << (stack.empty() ? "Yes" : "No") << std::endl;}int main() {    std::cout << "Lock-Free Stack Implementation Test\n";    std::cout << "===================================\n";    // Run basic functionality test    basic_function_test();    return 0;}

ABA Problem

Consider the following diagram, assuming the lock-free stack initially stores 3->2->1. Thread 1 loads old_head and old_head->next but has not yet executed CAS. If, from this moment until thread 1 executes CAS, thread 2 performs two pop operations and then executes a push, and the address newly allocated by the operating system happens to be 0x3000, and thread 2 ends. Next, when thread 1 starts CAS, it finds that the value of head is equal to old_head, and assigns 0x2000 to head, which has already been popped and deleted by thread 2. This can lead to undefined behavior.

Understanding the ABA Problem in Lock-Free Data Structures

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