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scylladb/utils
Pavel Emelyanov cf1315cde5 double-decker: A combination of B+tree with array
The collection is K:V store

   bplus::tree<Key = K, Value = array_trusted_bounds<V>>

It will be used as partitions cache. The outer tree is used to
quickly map token to cache_entry, the inner array -- to resolve
(expected to be rare) hash collisions.

It also must be equipped with two comparators -- less one for
keys and full one for values. The latter is not kept on-board,
but it required on all calls.

The core API consists of just 2 calls

- Heterogenuous lower_bound(search_key) -> iterator : finds the
  element that's greater or equal to the provided search key

  Other than the iterator the call returns a "hint" object
  that helps the next call.

- emplace_before(iterator, key, hint, ...) : the call construct
  the element right before the given iterator. The key and hint
  are needed for more optimal algo, but strictly speaking not
  required.

  Adding an entry to the double_decker may result in growing the
  node's array. Here to B+ iterator's .reconstruct() method
  comes into play. The new array is created, old elements are
  moved onto it, then the fresh node replaces the old one.

// TODO: Ideally this should be turned into the
// template <typename OuterCollection, typename InnerCollection>
// but for now the double_decker still has some intimate knowledge
// about what outer and inner collections are.

Insertion into this collection _may_ invalidate iterators, but
may leave intact. Invalidation only happens in case of hashing
conflict, which can be clearly seen from the hint object, so
there's a good room for improvement.

The main usage by row_cache (the find_or_create_entry) looks like

   cache_entry find_or_create_entry() {
       bound_hint hint;

       it = lower_bound(decorated_key, &hint);
       if (!hint.found) {
           it = emplace_before(it, decorated_key.token(), hint,
                                 <constructor args>)
       }
       return *it;
  }

Now the hint. It contains 3 booleans, that are

  - match: set to true when the "greater or equal" condition
    evaluated to "equal". This frees the caller from the need
    to manually check whether the entry returned matches the
    search key or the new one should be inserted.

    This is the "!found" check from the above snippet.

To explain the next 2 bools, here's a small example. Consider
the tree containing two elements {token, partition key}:

   { 3, "a" }, { 5, "z" }

As the collection is sorted they go in the order shown. Next,
this is what the lower_bound would return for some cases:

   { 3, "z" } -> { 5, "z" }
   { 4, "a" } -> { 5, "z" }
   { 5, "a" } -> { 5, "z" }

Apparently, the lower bound for those 3 elements are the same,
but the code-flows of emplacing them before one differ drastically.

   { 3, "z" } : need to get previous element from the tree and
                push the element to it's vector's back
   { 4, "a" } : need to create new element in the tree and populate
                its empty vector with the single element
   { 5, "a" } : need to put the new element in the found tree
                element right before the found vector position

To make one of the above decisions the .emplace_before would need
to perform another set of comparisons of keys and elements.
Fortunately, the needed information was already known inside the
lower_bound call and can be reported via the hint.

Said that,

  - key_match: set to true if tree.lower_bound() found the element
    for the Key (which is token). For above examples this will be
    true for cases 3z and 5a.

  - key_tail: set to true if the tree element was found, but when
    comparing values from array the bounding element turned out
    to belong to the next tree element and the iterator was ++-ed.
    For above examples this would be true for case 3z only.

And the last, but not least -- the "erase self" feature. Which is
given only the cache_entry pointer at hands remove it from the
collection. To make this happen we need to make two steps:

1. get the array the entry sits in
2. get the b+ tree node the vectors sits in

Both methods are provided by array_trusted_bounds and bplus::tree.
So, when we need to get iterator from the given T pointer, the algo
looks like

- Walk back the T array untill hitting the head element
- Call array_trusted_bounds::from_element() getting the array
- Construct b+ iterator from obtained array
- Construct the double_decker iterator from b+ iterator and from
  the number of "steps back" from above
- Call double_decker::iterator.erase()

Signed-off-by: Pavel Emelyanov <xemul@scylladb.com>
2020-07-14 16:29:53 +03:00
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