docs: document communication_v2 user-level flags and fix manual errors

- psb_halo: document tran and mode arguments; note work is array-only
- psb_ovrl: document mode argument
- add psb_comm_status_{sync,start,wait}_ to the Named Constants list
- fix psb_add_ -> psb_sum_ in the psb_ovrl update operator list
- remove duplicated psb_gather synopsis line
- drop spurious alpha from the psb_halo data-type table header
- regenerate psblas-3.9.pdf

docs/src/commrout.tex

@@ -24,7 +24,7 @@ where:
 \begin{center}
 \begin{tabular}{ll}
 \hline
-$\alpha$, $x$ & {\bf Subroutine}\\
+$x$ & {\bf Subroutine}\\
 \hline
 Integer           & psb\_halo \\
 Short Precision Real & psb\_halo \\
@@ -38,10 +38,10 @@ Long Precision Complex & psb\_halo \\
 \end{table}
 
 \noindent\fortinline|call psb_halo(x, desc_a, info)|\\
-\fortinline|call psb_halo(x, desc_a, info, work, data)|
+\fortinline|call psb_halo(x, desc_a, info, work, tran, mode, data)|
 
 \begin{description}
-\item[Type:] Synchronous.
+\item[Type:] Synchronous or split-phase, depending on \fortinline|mode|.
 \item[\bf On Entry]
 \item[x] global dense matrix $x$.\\
 Scope: {\bf local} \\
@@ -59,7 +59,29 @@ Specified as: a structured data of type \descdata.
 Scope: {\bf local} \\
 Type: {\bf optional}\\
 Intent: {\bf inout}.\\
-Specified as: a rank one array of the same type of $x$. 
+Specified as: a rank one array of the same type of $x$. This argument
+is only available when $x$ is a rank one or two array; it is not
+accepted when $x$ is an object of type \vdata.
+\item[tran] indicates whether to apply the transposed halo exchange.\\
+Scope: {\bf global} \\
+Type: {\bf optional} \\
+Intent: {\bf in}.\\
+Specified as: a single character. Values: \fortinline|'N'|, \fortinline|'T'|,
+\fortinline|'C'|, default: \fortinline|'N'|.
+\item[mode] communication mode.\\
+Scope: {\bf global} \\
+Type: {\bf optional} \\
+Intent: {\bf in}.\\
+Specified as: an integer. Values: \fortinline|psb_comm_status_sync_|,
+\fortinline|psb_comm_status_start_|, \fortinline|psb_comm_status_wait_|, default:
+\fortinline|psb_comm_status_sync_|. Selects whether the exchange is
+performed as a single synchronous operation
+(\fortinline|psb_comm_status_sync_|) or split into a non-blocking start
+phase (\fortinline|psb_comm_status_start_|) and a later wait phase
+(\fortinline|psb_comm_status_wait_|), so that communication may be
+overlapped with computation. When the split-phase mode is used, the
+halo entries of $x$ must not be referenced between the start and the
+matching wait call.
 \item[data] index list selector.\\
 Scope: {\bf global} \\
 Type: {\bf optional} \\
@@ -188,10 +210,10 @@ Long Precision Complex & psb\_ovrl \\
 \end{table}
 
 \noindent\fortinline|call psb_ovrl(x, desc_a, info)|\\
-\fortinline|call psb_ovrl(x, desc_a, info, update=update_type, work=work)| 
+\fortinline|call psb_ovrl(x, desc_a, info, update=update_type, mode=mode, work=work)|
 
 \begin{description}
-\item[Type:] Synchronous.
+\item[Type:] Synchronous or split-phase, depending on \fortinline|mode|.
 \item[\bf On Entry]
 \item[x] global dense matrix $x$.\\
 Scope: {\bf local} \\
@@ -208,7 +230,7 @@ Specified as: a structured data of type \descdata.
 \item[update] Update operator. \\
 \begin{description}
 \item[update = psb\_none\_] Do nothing;
-\item[update = psb\_add\_] Sum overlap entries, i.e. apply $P^T$;
+\item[update = psb\_sum\_] Sum overlap entries, i.e. apply $P^T$;
 \item[update = psb\_avg\_] Average overlap entries, i.e. apply $P_aP^T$;
 %% \item[update = psb\_square\_root\_] square root update $\sqrt{P_a}$;
 \end{description}
@@ -217,11 +239,25 @@ Intent: {\bf in}.\\
 Default: $update\_type = psb\_avg\_ $\\
 Scope: {\bf global} \\
 Specified as: a integer variable.
+\item[mode] communication mode.\\
+Scope: {\bf global} \\
+Type: {\bf optional} \\
+Intent: {\bf in}.\\
+Specified as: an integer. Values: \fortinline|psb_comm_status_sync_|,
+\fortinline|psb_comm_status_start_|, \fortinline|psb_comm_status_wait_|, default:
+\fortinline|psb_comm_status_sync_|. Selects whether the overlap exchange
+is performed as a single synchronous operation or split into a
+non-blocking start phase and a later wait phase, so that communication
+may be overlapped with computation. When the split-phase mode is used,
+the overlap entries of $x$ must not be referenced between the start and
+the matching wait call.
 \item[work] the work array. \\
 Scope: {\bf local} \\
 Type: {\bf optional}\\
 Intent: {\bf inout}.\\
-Specified as: a one dimensional array of the same type of $x$.
+Specified as: a one dimensional array of the same type of $x$. This
+argument is only available when $x$ is a rank one or two array; it is
+not accepted when $x$ is an object of type \vdata.
 
 \item[\bf On Return] 
 \item[x] global dense result matrix $x$.\\
@@ -381,7 +417,6 @@ Long Precision Complex & psb\_gather \\
 \end{table}
 
 \noindent\fortinline|call psb_gather(glob_x, loc_x, desc_a, info, root)|
-\fortinline|call psb_gather(glob_x, loc_x, desc_a, info, root)|
 
 
 \begin{description}

docs/src/datastruct.tex

@@ -518,6 +518,12 @@ method is called by all processes.
   list;
 \item[psb\_comm\_mov\_] Exchange data based on the \fortinline|ovr_mst_idx|
   list;
+\item[psb\_comm\_status\_sync\_] Perform a data exchange as a single
+  synchronous operation (default);
+\item[psb\_comm\_status\_start\_] Begin a split-phase data exchange
+  (non-blocking start);
+\item[psb\_comm\_status\_wait\_] Complete a split-phase data exchange
+  started with \fortinline|psb_comm_status_start_|;
 
 %% \item[psb\_square\_root\_] Update with the square root of the average
 %%   of overlapped elements;