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binomial heaps sanity checks are wrong #4

@avikivity

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@avikivity
    template <typename Compare>
    void siftup(node_pointer n, Compare const & cmp)
    {
        while (n->parent) {
            node_pointer parent = n->parent;
            node_pointer grand_parent = parent->parent;
            if (cmp(n->value, parent->value))
                return;

            n->remove_from_parent();

            n->swap_children(parent);
            n->update_children();
            parent->update_children();

            if (grand_parent) {
                parent->remove_from_parent();
                grand_parent->add_child(n);
            } else {
                node_list_iterator it = trees.erase(node_list_type::s_iterator_to(*parent));
                trees.insert(it, *n);
            }
            n->add_child(parent);
            BOOST_HEAP_ASSERT(parent->child_count() == n->child_count());
        }
    }

How can the parent child count equal the child count? Obviously the parent has at least one more child than the parent.

    void sanity_check(void)
    {
#ifdef BOOST_HEAP_SANITYCHECKS
        sorted_by_degree();

        if (!empty()) {
            node_pointer found_top = detail::find_max_child<node_list_type, node_type, internal_compare>(trees, super_t::get_internal_cmp());
            BOOST_HEAP_ASSERT(top_element == found_top);
        }

        if (constant_time_size) {
            size_t counted = detail::count_list_nodes<node_type, node_list_type>(trees);
            size_t stored = size_holder::get_size();
            BOOST_HEAP_ASSERT(counted == stored);
        }
#endif
    }

What happens if there are two equivalent elements? One might be top_element and the other calculated in found_top. We need to compare them via the comparator, not via node identity.

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