[PATCH v2 01/19] Documentation: describe incremental MIDX format

[Taylor Blau <me@ttaylorr.com>]

Prepare to implement incremental multi-pack indexes (MIDXs) over the
next several commits by first describing the relevant prerequisites
(like a new chunk in the MIDX format, the directory structure for
incremental MIDXs, etc.)

The format is described in detail in the patch contents below, but the
high-level description is as follows.

Incremental MIDXs live in $GIT_DIR/objects/pack/multi-pack-index.d, and
each `*.midx` within that directory has a single "parent" MIDX, which is
the MIDX layer immediately before it in the MIDX chain. The chain order
resides in a file 'multi-pack-index-chain' in the same directory.

Signed-off-by: Taylor Blau <me@ttaylorr.com>
---
 Documentation/technical/multi-pack-index.txt | 100 +++++++++++++++++++
 1 file changed, 100 insertions(+)

diff --git a/Documentation/technical/multi-pack-index.txt b/Documentation/technical/multi-pack-index.txt
index f2221d2b44..d05e3d6dd9 100644
--- a/Documentation/technical/multi-pack-index.txt
+++ b/Documentation/technical/multi-pack-index.txt
@@ -61,6 +61,106 @@ Design Details
 - The MIDX file format uses a chunk-based approach (similar to the
   commit-graph file) that allows optional data to be added.
 
+Incremental multi-pack indexes
+------------------------------
+
+As repositories grow in size, it becomes more expensive to write a
+multi-pack index (MIDX) that includes all packfiles. To accommodate
+this, the "incremental multi-pack indexes" feature allows for combining
+a "chain" of multi-pack indexes.
+
+Each individual component of the chain need only contain a small number
+of packfiles. Appending to the chain does not invalidate earlier parts
+of the chain, so repositories can control how much time is spent
+updating the MIDX chain by determining the number of packs in each layer
+of the MIDX chain.
+
+=== Design state
+
+At present, the incremental multi-pack indexes feature is missing two
+important components:
+
+  - The ability to rewrite earlier portions of the MIDX chain (i.e., to
+    "compact" some collection of adjacent MIDX layers into a single
+    MIDX). At present the only supported way of shrinking a MIDX chain
+    is to rewrite the entire chain from scratch without the `--split`
+    flag.
++
+There are no fundamental limitations that stand in the way of being able
+to implement this feature. It is omitted from the initial implementation
+in order to reduce the complexity, but will be added later.
+
+  - Support for reachability bitmaps. The classic single MIDX
+    implementation does support reachability bitmaps (see the section
+    titled "multi-pack-index reverse indexes" in
+    linkgit:gitformat-pack[5] for more details).
++
+As above, there are no fundamental limitations that stand in the way of
+extending the incremental MIDX format to support reachability bitmaps.
+The design below specifically takes this into account, and support for
+reachability bitmaps will be added in a future patch series. It is
+omitted from this series for the same reason as above.
++
+In brief, to support reachability bitmaps with the incremental MIDX
+feature, the concept of the pseudo-pack order is extended across each
+layer of the incremental MIDX chain to form a concatenated pseudo-pack
+order. This concatenation takes place in the same order as the chain
+itself (in other words, the concatenated pseudo-pack order for a chain
+`{$H1, $H2, $H3}` would be the pseudo-pack order for `$H1`, followed by
+the pseudo-pack order for `$H2`, followed by the pseudo-pack order for
+`$H3`).
++
+The layout will then be extended so that each layer of the incremental
+MIDX chain can write a `*.bitmap`. The objects in each layer's bitmap
+are offset by the number of objects in the previous layers of the chain.
+
+=== File layout
+
+Instead of storing a single `multi-pack-index` file (with an optional
+`.rev` and `.bitmap` extension) in `$GIT_DIR/objects/pack`, incremental
+MIDXs are stored in the following layout:
+
+----
+$GIT_DIR/objects/pack/multi-pack-index.d/
+$GIT_DIR/objects/pack/multi-pack-index.d/multi-pack-index-chain
+$GIT_DIR/objects/pack/multi-pack-index.d/multi-pack-index-$H1.midx
+$GIT_DIR/objects/pack/multi-pack-index.d/multi-pack-index-$H2.midx
+$GIT_DIR/objects/pack/multi-pack-index.d/multi-pack-index-$H3.midx
+----
+
+The `multi-pack-index-chain` file contains a list of the incremental
+MIDX files in the chain, in order. The above example shows a chain whose
+`multi-pack-index-chain` file would contain the following lines:
+
+----
+$H1
+$H2
+$H3
+----
+
+The `multi-pack-index-$H1.midx` file contains the first layer of the
+multi-pack-index chain. The `multi-pack-index-$H2.midx` file contains
+the second layer of the chain, and so on.
+
+=== Object positions for incremental MIDXs
+
+In the original multi-pack-index design, we refer to objects via their
+lexicographic position (by object IDs) within the repository's singular
+multi-pack-index. In the incremental multi-pack-index design, we refer
+to objects via their index into a concatenated lexicographic ordering
+among each component in the MIDX chain.
+
+If `objects_nr()` is a function that returns the number of objects in a
+given MIDX layer, then the index of an object at lexicographic position
+`i` within, say, $H3 is defined as:
+
+----
+objects_nr($H2) + objects_nr($H1) + i
+----
+
+(in the C implementation, this is often computed as `i +
+m->num_objects_in_base`).
+
 Future Work
 -----------
 
-- 
2.46.0.rc0.94.g9b2aff57b3