Broadly speaking the update proceeds as follows: during the Ranking
phase we construct the intended graph of dependencies between patches
-(which involves select a merge order for the base branch of each
+(and incidentally select a merge order for the base branch of each
patch). Then during the Traversal phase we walk that graph from the
bottom up, constructing for each patch by a series of merges and other
operations first a new base branch head commit and then a new tip
requested in the commit $K$ ($K \in \pn$) for the patch $\p$.
\item[ $\pc \hasdirdep \p$ ]
-The Topbloke commit set $\pc$ has as a direct contributor the
-commit set $\p$. This is an acyclic relation.
+The patch $\pc$ has as a direct dependency the
+patch $\p$. This is an acyclic relation.
\item[ $\p \hasdep \pq$ ]
-The commit set $\p$ has as direct or indirect contributor the commit
-set $\pq$.
+The patch $\p$ has as direct or indirect dependency the
+patch $\pq$.
Acyclic; the completion of $\hasdirdep$ into a
partial order.
\item[ $\pendsof{\set J}{\p}$ ]
Convenience notation for
-the maximal elements of $\bigcup_{J \in \set J} \pendsof{J}{\p}$
+the $\le$-maximal elements of $\bigcup_{J \in \set J} \pendsof{J}{\p}$
(where $\set J$ is some set of commits).
\item[ $\pendsof{\set X}{\p} \le T$ ]
Convenience notation for
$\bigforall_{E \in \pendsof{\set X}{\p}} E \le T$
+\item[ $\allsrcs$ ]
+$\bigcup_{\p \in \allpatches} \set H^{\pn} \cup \set H^{\py}$.
+All the input commits to the update algorithm. (See below.)
+
%\item[ $\set E_{\pc}$ ]
%$ \bigcup_i \pendsof{S_{\pc,i}}{\pc} $.
%All the ends of $\pc$ in the sources.
The topmost patch which we are trying to update. This and
all of its dependencies will be updated.
-\item[ $h : \pc^{+/-} \mapsto \set H_{\pc^{+/-}}$ ]
+\item[ $h : \pc^{+/-} \mapsto \set H^{\pc^{+/-}}$ ]
Function for getting the existing heads $\set H$ of the branch $\pc^{+/-}$.
+These are the heads which will be merged and used in this update.
This will include the current local and remote git refs, as desired.
\item[ $g : \pc, \Gamma \mapsto \Gamma'$ ]
$\Gamma$ computed as an appropriate merge of the dependencies requested by the
sources and should return the complete actual set $\Gamma'$ of direct
dependencies to use. This allows the specification of any desired
-(acyclic) relation $\hasdirdep$.
+(acyclic) relations $\hasdirdep$ and $\hasdep$.
\end{basedescript}
-\section{Ranking phase}
-
-{\bf Ranking} is:
-\begin{enumerate}
-\item Set $\allpatches = \{ \}$.
-\item Repeatedly:
-\begin{enumerate}
-\item Clear out the graph $\hasdirdep$ so it has neither nodes nor edges.
-\item Execute {\bf Rank-Recurse}($\pc_0$) .
-\item Until $\allpatches$ remains unchanged.
-\end{enumerate}
-\end{enumerate}
-
-{\bf Rank-Recurse}($\pc$) is:
-\begin{enumerate}
-\item Add $\pc$ to $\allpatches$ if it is not there already.
-\item Let $\set S_{\pcn} = h(\pcn)
- \cup \{ \baseof{E} \; | \; \pendsof{ \left[
- \bigcup_{\p \in \allpatches} h(\pn) \cup h(\py)
- \right]
- }{ \pcy } \} $
-\end{enumerate}
-
-\section{Planning phase}
-
-The results of the planning phase consist of:
-\begin{itemize*}
-\item{ The relation $\hasdirdep$ and hence the partial order $\hasdep$. }
-\item{ For each commit set $\pc$, a confirmed set of sources $\set S_{\pc}$. }
-\item{ For each commit set $\pc$, the order in which to merge the sources
- $E_{\pc,j} \in \set E_{\pc}$. }
-\item{ For each $E_{\pc,j}$ an intended merge base $M_{\pc,j}$. }
-\end{itemize*}
-
-We use a recursive planning algorith, recursing over Topbloke commit
-sets (ie, sets $\py$ or $\pn$). We'll call the commit set we're
-processing at each step $\pc$.
-At each recursive step
-we make a plan to merge all $\set E_{\pc} = \{ E_{\pc,j \ldots} \}$
-and all the direct contributors of $\pc$ (as determined below)
-into $\tipzc$, to make $\tipfc$.
-
-We start with $\pc = \pl$ where $\pl = \patchof{L}$.
-
-
-\subsection{Direct contributors for $\pc = \pcn$}
-
-The direct contributors of $\pcn$ are the commit sets corresponding to
-the tip branches for the direct dependencies of the patch $\pc$. We
-need to calculate what the direct dependencies are going to be.
-
-Choose an (arbitrary, but ideally somehow optimal in
-a way not discussed here) ordering of $\set E_{\pc}$, $E_{\pc,j}$
-($j = 1 \ldots m$).
-For brevity we will write $E_j$ for $E_{\pc,j}$.
-Remove from that set (and ordering) any $E_j$ which
-are $\le$ and $\neq$ some other $E_k$.
-
-Initially let $\set D_0 = \depsreqof{\tipzc}$.
-For each $E_j$ starting with $j=1$ choose a corresponding intended
-merge base $M_j$ such that $M_j \le E_j \land M_j \le T_{\pc,j-1}$.
-Calculate $\set D_j$ as the 3-way merge of the sets $\set D_{j-1}$ and
-$\depsreqof{E_j}$ using as a base $\depsreqof{M_j}$. This will
-generate $D_m$ as the putative direct contributors of $\pcn$.
-
-However, the invocation may give instructions that certain direct
-dependencies are definitely to be included, or excluded. As a result
-the set of actual direct contributors is some arbitrary set of patches
-(strictly, some arbitrary set of Topbloke tip commit sets).
-
-\subsection{Direct contributors for $\pc = \pcy$}
-
-The sole direct contributor of $\pcy$ is $\pcn$.
-
-\subsection{Recursive step}
-
-For each direct contributor $\p$, we add the edge $\pc \hasdirdep \p$
-and augment the ordering $\hasdep$ accordingly.
-
-If this would make a cycle in $\hasdep$, we abort . The operation must
-then be retried by the user, if desired, but with different or
-additional instructions for modifying the direct contributors of some
-$\pqn$ involved in the cycle.
-
-For each such $\p$, after updating $\hasdep$, we recursively make a plan
-for $\pc' = \p$.
-
-
-
-\section{Execution phase}
-
-We process commit sets from the bottom up according to the relation
-$\hasdep$. For each commit set $\pc$ we construct $\tipfc$ from
-$\tipzc$, as planned. By construction, $\hasdep$ has $\patchof{L}$
-as its maximum, so this operation will finish by updating
-$\tipca{\patchof{L}}$ with $\tipfa{\patchof{L}}$.
+\stdsection{Important variables and values in the update algorithm}
-After we are done with each commit set $\pc$, the
-new tip $\tipfc$ has the following properties:
-\[ \eqn{Tip Sources}{
- \bigforall_{E_i \in \set E_{\pc}} \tipfc \ge E_i
-}\]
-\[ \eqn{Tip Dependencies}{
- \bigforall_{\pc \hasdep \p} \tipfc \ge \tipfa \p
-}\]
-\[ \eqn{Perfect Contents}{
- \tipfc \haspatch \p \equiv \pc \hasdep \py
-}\]
-
-For brevity we will sometimes write $\tipu$ for $\tipuc$, etc. We will start
-out with $\tipc = \tipz$, and at each step of the way construct some
-$\tipu$ from $\tipc$. The final $\tipu$ becomes $\tipf$.
-
-\subsection{Preparation}
-
-Firstly, we will check each $E_i$ for being $\ge \tipc$. If
-it is, are we fast forward to $E_i$
---- formally, $\tipu = \text{max}(\tipc, E_i)$ ---
-and drop $E_i$ from the planned ordering.
-
-Then we will merge the direct contributors and the sources' ends.
-This generates more commits $\tipuc \in \pc$, but none in any other
-commit set. We maintain
-$$
- \bigforall_{\p \isdep \pc}
- \pancsof{\tipcc}{\p} \subset
- \pancsof{\tipfa \p}{\p}
-$$
-\proof{
- For $\tipcc = \tipzc$, $T$ ...WRONG WE NEED $\tipfa \p$ TO BE IN $\set E$ SOMEHOW
+\begin{basedescript}{
+\desclabelwidth{5em}
+\desclabelstyle{\nextlinelabel}
}
+\item[ $\Gamma_{\pc}$ ]
+The desired direct dependencies of $\pc$, a set of patches.
-\subsection{Merge Contributors for $\pcy$}
-
-Merge $\pcn$ into $\tipc$. That is, merge with
-$L = \tipc, R = \tipfa{\pcn}, M = \baseof{\tipc}$.
-to construct $\tipu$.
-
-Merge conditions:
-
-Ingredients satisfied by construction.
-Tip Merge satisfied by construction. Merge Acyclic follows
-from Perfect Contents and $\hasdep$ being acyclic.
-
-Removal Merge Ends: For $\p = \pc$, $M \nothaspatch \p$; OK.
-For $\p \neq \pc$, by Tip Contents,
-$M \haspatch \p \equiv L \haspatch \p$, so we need only
-worry about $X = R, Y = L$; ie $L \haspatch \p$,
-$M = \baseof{L} \haspatch \p$.
-By Tip Contents for $L$, $D \le L \equiv D \le M$. OK.~~$\qed$
+\item[ $\allpatches$ ]
+The set of all the patches we are dealing with (constructed
+during the update algorithm).
-WIP UP TO HERE
+\item[ $\tipcn, \tipcy$ ]
+The new tips of the git branches $\pcn$ and $\pcy$, containing
+all the appropriate commits (and the appropriate other patches),
+as generated by the Traversal phase of the update algorithm.
-Addition Merge Ends: If $\py \isdep \pcn$, we have already
-done the execution phase for $\pcn$ and $\py$. By
-Perfect Contents for $\pcn$, $\tipfa \pcn \haspatch \p$ i.e.
-$R \haspatch \p$. So we only need to worry about $Y = R = \tipfa \pcn$.
-By Tip Dependencies $\tipfa \pcn \ge \tipfa \py$.
-And by Tip Sources $\tipfa \py \ge $
+\item[ $\allreach$ ]
+The set of all reachable commits.
-want to prove $E \le \tipfc$ where $E \in \pendsof{\tipcc}{\py}$
+A reachable commit is one we might refer to explicitly in any of these
+algorithms, and any ancestor of such a commit. We explicitly
+enumerate all of the input commits ($\allsrcs$), so the reachable
+commits are originally the input commits and their ancestors.
-$\pancsof{\tipcc}{\py} = $
+$\allreach$ varies over time as we generate more commits. Each
+commit we generate will have only reachable commits as ancestors, so
+generating a new commit (only) adds that new commit to $\allreach$.
+\item[ $\allreachof{\py}$ ]
+The set of reachable commits at the point where we have just generated
+$\tippy$, i.e. just after $\alg{Merge-Tip}(\p)$.
-computed $\tipfa \py$, and by Perfect Contents for $\py$
-
-
-with $M=M_j, L=T_{\pc,j-1}, R=E_j$,
-and calculate what the resulting desired direct dependencies file
-(ie, the set of patches $\set D_j$)
-would be. Eventually we
-
-So, formally, we select somehow an order of sources $S_i$. For each
-
-
-Make use of the following recursive algorithm, Plan
-
-
-
-
- recursively make a plan to merge all $E = \pends$
-
-Specifically, in
+\end{basedescript}
~ian / topbloke-formulae.git / blobdiff