$ \bigcup_i \pendsof{S_i}{\pc} $.
All the ends of $\pc$ in the sources.
-\item[ $ \grefzc, \grefcc, \grefuc, \greffc $ ]
+\item[ $ \tipzc, \tipcc, \tipuc, \tipfc $ ]
The git ref for the Topbloke commit set $\pc$: respectively,
the original, current, updated, and final values.
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 $\grefzc$, to make $\greffc$.
+into $\tipzc$, to make $\tipfc$.
We start with $\pc = \pl$ where $\pl = \patchof{L}$.
Remove from that set (and ordering) any $E_j$ which
are $\le$ and $\neq$ some other $E_k$.
-Initially let $\set D_0 = \depsreqof{\grefzc}$.
+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
\section{Execution phase}
We process commit sets from the bottom up according to the relation
-$\hasdep$. For each commit set $\pc$ we construct $\greffc$ from
-$\grefzc$, as planned. By construction, $\hasdep$ has $\patchof{L}$
+$\hasdep$. 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
-$\greffa{\patchof{L}}$.
+$\tipfa{\patchof{L}}$.
After we are done, the result has the following properties:
-\[ \eqn{Best Tip}{
- \bigforall_{E_i \in \set E_{\pc}} \greffc \ge E_i
+\[ \eqn{Tip Inputs}{
+ \bigforall_{E_i \in \set E_{\pc}} \tipfc \ge E_i
+}\]
+\[ \eqn{Tip Dependencies}{
+ \bigforall_{\pc \hasdep \p} \tipfc \ge \tipfa \p
}\]
\[ \eqn{Perfect Contents}{
- \greffc \haspatch \p \equiv \pc \hasdep \py
+ \tipfc \haspatch \p \equiv \pc \hasdep \py
}\]
-For brevity we will write $\grefu$ for $\grefuc$, etc. We will start
-out with $\grefc = \grefz$, and at each step of the way construct some
-$\grefu$ from $\grefc$. The final $\grefu$ becomes $\greff$.
+For brevity we will 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 $\ge \grefc$. If
+Firstly, we will check each $E_i$ for being $\ge \tipc$. If
it is, are we fast forward to $E_i$
---- formally, $\grefu = \text{max}(\grefc, E_i)$ ---
+--- formally, $\tipu = \text{max}(\tipc, E_i)$ ---
and drop $E_i$ from the planned ordering.
\subsection{Merge Contributors for $\pcy$}
-Merge $\pcn$ into $\grefc$. That is, merge with
-$L = \grefc, R = \greffa{\pcn}, M = \baseof{\grefc}$.
-to construct $\grefu$.
+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
$M = \baseof{L} \haspatch \p$.
By Tip Contents for $L$, $D \le L \equiv D \le M$. $\qed$
-OK
-UP TO HERE
+WIP UP TO HERE
+
+Addition Merge Ends: If $\py \isdep \pcn$, we have already
+done the execution phase for $\pcn$ and $\py$. By
+Perfect Contents for $\pcn$, $\tipfa \pcn \haspatch \p$.
+
+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