namespace AIStudio.Tools.RAG;
///
/// Cuts what a search found into pages, without keeping anything between two of them.
///
///
///
/// Neither the vector store nor the keyword index knows an offset, and neither needs one: page p
/// of size k is cut from the first p·k + 1 matches of every channel. The one match beyond the
/// page tells whether a next page is worth asking for. The first page is therefore exactly what a
/// search for k matches always returned. A data source which cannot page that far, such as an ERI
/// data source, says so through IDataSource.GetLastPage.
///
///
/// Staying without state is not a shortcut but a requirement: tool results do not travel into
/// later turns, so a page has to come out of the query and its number alone.
///
///
public static class RetrievalPaging
{
///
/// How many matches a page beyond the first may fetch at most, per channel.
///
///
/// Every page fetches its whole window again, from the vector store and the keyword index. The
/// first page is exempt: its size is what the user or the organization configured, and
/// fetching it is what the retrieval always did.
///
public const int MAX_RESULT_WINDOW = 100;
///
/// The last page which can be retrieved for the given page size.
///
/// The number of matches per page.
/// The number of the last page, which is at least 1.
public static int GetLastPage(int pageSize) => pageSize < 1 ? 1 : Math.Max(1, (MAX_RESULT_WINDOW - 1) / pageSize);
///
/// How many matches every channel has to deliver for the given page.
///
/// The page, starting at 1.
/// The number of matches per page.
/// The size of the window, i.e., the page, all pages before it, and one match more.
/// The page is below 1 or beyond the last page.
public static int GetWindowSize(int page, int pageSize) => GetPageEnd(page, pageSize) + 1;
///
/// Cuts one page out of what a single channel found.
///
/// What the channel found, the most relevant first, fetched with the window of this page.
/// The page, starting at 1.
/// The number of matches per page.
/// The matches of this page, and whether the next page is worth asking for.
/// The page is below 1 or beyond the last page.
public static (IReadOnlyList Matches, bool HasMore) Cut(IReadOnlyList matches, int page, int pageSize)
{
var end = GetPageEnd(page, pageSize);
var start = end - pageSize;
var pageMatches = matches.Skip(start).Take(pageSize).ToList();
return (pageMatches, HasMore(page, pageSize, matches.Count));
}
///
/// Cuts one page out of what two channels found, the channels taking turns.
///
///
///
/// Both channels make one ranking: the best match of the first channel, then the best of the
/// second, then the second best of each, and so on. A page is the next stretch of that ranking,
/// as many matches as the page size, whichever channel they come from. A channel which runs out
/// of matches leaves its turns to the other one, which then fills the page on its own. So a
/// page holds as many matches as configured, and each channel brings its best ones first.
/// This order is deterministic on purpose; reranking would replace it, and change the first
/// page with it.
///
///
/// A match both channels found takes the first of its two places. Hence, no match turns up
/// twice, neither on one page nor on two. Matches without a key are never taken for one
/// another.
///
///
/// The window of the page is enough to place every match up to the one beyond the page: the
/// first n places of the ranking come from the first n matches of each channel at most, since
/// the first n matches of one channel alone already fill n places.
///
///
/// What the first channel found, the most relevant first, fetched with the window of this page.
/// What the second channel found, likewise.
/// What identifies a match across both channels. Letter case does not matter.
/// The page, starting at 1.
/// The number of matches per page.
/// The matches of this page, and whether the next page is worth asking for.
/// The page is below 1 or beyond the last page.
public static (IReadOnlyList Matches, bool HasMore) Merge(IReadOnlyList first, IReadOnlyList second, Func getKey, int page, int pageSize)
{
var end = GetPageEnd(page, pageSize);
var start = end - pageSize;
// The one match beyond the page tells whether the next page is worth asking for:
var ranking = TakeTurns(first, second, getKey, end + 1);
var pageMatches = ranking.Skip(start).Take(pageSize).ToList();
return (pageMatches, HasMore(page, pageSize, ranking.Count));
}
///
/// Joins what two channels found into one ranking, the channels taking turns.
///
/// What the first channel found, the most relevant first.
/// What the second channel found, likewise.
/// What identifies a match across both channels. Letter case does not matter.
/// How many places of the ranking are needed.
/// The first places of the ranking, fewer than asked for only when both channels ran out.
private static List TakeTurns(IReadOnlyList first, IReadOnlyList second, Func getKey, int count)
{
var ranking = new List(count);
var placedKeys = new HashSet(StringComparer.OrdinalIgnoreCase);
for (var rank = 0; ranking.Count < count && (rank < first.Count || rank < second.Count); rank++)
{
Place(first, rank);
if (ranking.Count < count)
Place(second, rank);
}
return ranking;
void Place(IReadOnlyList channel, int rank)
{
if (rank >= channel.Count)
return;
var match = channel[rank];
var key = getKey(match);
// The other channel, or this one further up, placed it already:
if (!string.IsNullOrWhiteSpace(key) && !placedKeys.Add(key))
return;
ranking.Add(match);
}
}
///
/// Where the given page ends, i.e., the number of matches on it and on all pages before it.
///
private static int GetPageEnd(int page, int pageSize)
{
var lastPage = GetLastPage(pageSize);
if (page < 1 || page > lastPage)
throw new ArgumentOutOfRangeException(nameof(page), page, $"With {pageSize} matches per page, the page has to be between 1 and {lastPage}.");
return page * Math.Max(0, pageSize);
}
///
/// A single match beyond this page is enough to ask for the next one, unless this page is the
/// last one which can be retrieved at all.
///
/// The page, starting at 1.
/// The number of matches per page.
/// How many matches the window of this page held.
private static bool HasMore(int page, int pageSize, int count) => page < GetLastPage(pageSize) && count > page * pageSize;
}