6
Essential characteristics
7
-------------------------
9
In the general case (no criss-cross), it is a three-way merge. When
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there is a criss-cross at the tree level, but not for the particular
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file, it is still a three-way merge. When there's a file-level
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criss-cross, it's superior to a three-way merge.
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First, we compare the files we are trying to merge, and find the lines
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that differ. Next, we try to determine why they differ; this is
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essential to the merge operation, because it affects how we resolve the
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differences. In this merger, there are three possible outcomes:
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1. The line was added in this version: "new-this"
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2. The line was deleted in the other version: "killed-other"
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3. The line was preserved as part of merge resolution in this version,
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but deleted in the other version: "conflicted-this"
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Option 3 is new, but I believe it is essential. When each side has made
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a conflicting merge resolution, we should let the user decide how to
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combine the two resolutions, i.e. we should emit a conflict. We cannot
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silently drop the line, or silently keep the line, which can happen if
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we choose options 1 or 2. If we choose options 1 or 2, there's also a
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possibility that a conflict will be produced, but no guarantee. We need
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a guarantee, which is why we need a new possible outcome.
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To decide whether a line is "new-this", "killed-other" or
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"conflicted-this", we compare this version against the versions from
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each "least common ancestor" (LCA), in graph terminology. For each LCA
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version, if the line is not present in the LCA version, we add it to the
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"new" set. If the line is present in the LCA version, we add it to the
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When we are done going through each LCA version, each unique line will
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be in at least one of the sets. If it is only in the "new" set, it's
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handled as "new-this". If it is only in the "killed" set, it's handled
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as "killed-other". If it is in both sets, it's handled as
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The logic here is a bit tricky: first, we know that the line is present
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in some, but not all, LCAs. We can assume that all LCAs were produced
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by merges of the same sets of revisions. That means that in those LCAs,
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there were different merge resolutions. Since THIS and OTHER disagree
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about whether the line is present, those differences have propogated
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into THIS and OTHER. Therefore, we should declare that the lines are in
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conflict, and let the user handle the issue.
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LCA merge and Three-way merge
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-----------------------------
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Now, in the common case, there's a single LCA, and LCA merge behaves as
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a three-way merge. Since there's only one LCA, we cannot get the
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"conflicted-this" outcome, only "new-this" or "killed-other. Let's look
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at the typical description of three-way merges:
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+-----+------+-------+------------+
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|THIS | BASE | OTHER | OUT |
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+-----+------+-------+------------+
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+-----+------+-------+------------+
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+-----+------+-------+------------+
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+-----+------+-------+------------+
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+-----+------+-------+------------+
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|A | B | C |\*conflict\*|
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+-----+------+-------+------------+
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Now, let's assume that BASE is a common ancestor, as is typically the
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case. In fact, for best-case merges, BASE is the sole LCA.
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We always pick the version that represents a change from BASE, if there
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is one. For the AAAA line, there is no change, so the output is
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rightfully BASE/THIS/OTHER. For ABAA, the THIS and OTHER are changes
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from BASE, and they are the same change so they both win. (This case is
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sometimes called convergence.) For ABBA, THIS is a change from BASE, so
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THIS wins. For AABB, OTHER is a change from BASE, so OTHER wins. For
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ABC*, THIS and OTHER are both changes to BASE, but they are different
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changes, so they can't both win cleanly. Instead, we have a conflict.
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Now in three-way merging, we typically talk about regions of text. In
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weave/knit/newness/lca merge, we also have regions. Each contiguous
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group of "unchanged" lines is a region, and the areas between them are
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Let's assign a to THIS and b to OTHER. "unchanged" regions represent
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the AAAA or ABAA cases; it doesn't matter which, because the outcome is
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the same regardless. Regions which consist of only "new-a" or
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"killed-a" represent the ABBA case. Regions which consist of only
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"new-b" or "killed-b" represent the AABB case. Regions which have
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(new-a or killed-a) AND (new-b or killed-b) are the ABC* case-- both
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sides have made changes, and they are different changes, so a conflict
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This is what I mean when I say that it is a three-way merge in the
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common case; if there is only one LCA, then it is merely an alternative
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implementation of three-way. (One that happens to automatically do
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``--reprocess``, ftw).
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1. It was time. Although knit / annotate merge and newness merge have
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tried to emulate the behavior of the original weave merge algorithm,
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``--merge-type=weave`` hasn't been based on weaves for a long time.
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2. Behavior differences. This algorithm should behave like a three-way
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merge in the common case, while its predecessors did not. It also has
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explicit support for handling conflicting merge resolutions, so it
118
should behave better in criss-cross merge scenarios.
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Unlike the current "weave" merge implementation, lca merge does not
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perform any whole-history operations. LCA selection should scale with
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the number of uncommon revisions. Text comparison time should scale
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mO(n\ :sup:`2`\ ), where m is the number of LCAs, and n is the number of lines
127
in the file. The current weave merge compares each uncommon ancestor,
128
potentially several times, so it is >= kO(n\ :sup:`2`\ ), where k is the
129
number of uncommon ancestors. So "lca" should beat "weave" both in history
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analysis time and in text comparison time.
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1. Inaccurate LCA selection. Our current LCA algorithm uses
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``Graph.heads()``, which is known to be flawed. It may occasionally give
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bad results. This risk is mitigated by the fact that the per-file graphs
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tend to be simpler than the revision graph. And since we're already using
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this LCA algorithm, this is not an additional risk. I hope that John Meinel
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will soon have a fixed version of ``Graph.heads`` for us.
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2. False matches. Weaves have a concept of line identity, but knits and
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later formats do not. So a line may appear to be common to two files, when
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in fact it was introduced separately into each for entirely different
144
reasons. This risk is the same for three-way merging. It is mitigated by
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using Patience sequence matching, which a longest-common-subsequence match.
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I think this could be a great merge algorithm, and a candidate to make
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our default, but this work would not have been possible without the work
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of others, especially:
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- Martin Pool's weave merge and knit/annotate merge algorithms.
155
- Bram Cohen's discussions of merge algorithms
156
- Andrew Tridgell's dissection of BitKeeper merge
157
- Nathaniel Smith's analysis of why criss-cross histories necessarily
158
produce poor three-way merges.