在使用奇怪的递归模板模式(CRTP)时计算多维数组的线性索引

template <typename Derived>
class ArrayIndex {
public:
    static size_t calculateIndex(const std::vector<size_t>& dimensions, const std::vector<size_t>& indices) {
        static_assert(std::is_base_of<ArrayIndex, Derived>::value, "Derived class must inherit from ArrayIndex");
        return Derived::calculateIndex(dimensions, indices);
    }
};

template <typename Derived>
class MultiArrayIndex : public ArrayIndex<Derived> {
public:
    static size_t calculateIndex(const std::vector<size_t>& dimensions, const std::vector<size_t>& indices) {
        static_assert(std::is_base_of<MultiArrayIndex, Derived>::value, "Derived class must inherit from MultiArrayIndex");
        size_t numDimensions = dimensions.size();
        size_t index = 0;
        for (size_t i = 0; i < numDimensions; ++i) {
            index *= dimensions[i];
            index += indices[i];
        }
        return index;
    }
};

class MyArrayIndex : public MultiArrayIndex<MyArrayIndex> {
public:
    // 不需要再定义calculateIndex函数，直接使用基类中的实现
};

std::vector<size_t> dimensions = {3, 4, 5};
std::vector<size_t> indices = {1, 2, 3};
size_t linearIndex = MyArrayIndex::calculateIndex(dimensions, indices);