diff --git a/docs/html/WARNINGS b/docs/html/WARNINGS new file mode 100644 index 00000000..5b6c6c23 --- /dev/null +++ b/docs/html/WARNINGS @@ -0,0 +1,12 @@ +No implementation found for style `pstricks' +No implementation found for style `fancybox' +No implementation found for style `ifthen' +No implementation found for style `listings' + +redefining command \thepage + +Substitution of arg to newlabelxx delayed. + +? brace missing for \oldcontentsline + +? brace missing for \textrm diff --git a/docs/html/footnode.html b/docs/html/footnode.html index 9b6f0db5..17cb8332 100644 --- a/docs/html/footnode.html +++ b/docs/html/footnode.html @@ -14,7 +14,7 @@ - + @@ -137,8 +137,8 @@ sample scatter/gather routines. . -
... follows4
+
... follows4
The string is case-insensitive 
.
@@ -173,12 +173,12 @@ sample scatter/gather routines.
 .
-
... method5
+
... method5
Note: the implementation is for $FCG(1)$. 
.
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+latex2htmlLength oddsidemargin=28.0pt
+
+latex2htmlLength evensidemargin=79.0pt
+
+LaTeX Font Info:    Try loading font information for OMS+cmr on input line 225.
+
+(/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd
+File: omscmr.fd 2014/09/29 v2.5h Standard LaTeX font definitions
+)
+LaTeX Font Info:    Font shape `OMS/cmr/m/n' in size <9> not available
+(Font)              Font shape `OMS/cmsy/m/n' tried instead on input line 225.
+LaTeX Font Info:    Try loading font information for U+msa on input line 228.
+(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd
+File: umsa.fd 2013/01/14 v3.01 AMS symbols A
+)
+LaTeX Font Info:    Try loading font information for U+msb on input line 228.
+(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd
+File: umsb.fd 2013/01/14 v3.01 AMS symbols B
+)
+
+! LaTeX Error: Misplaced \endSbox! Should be in LR mode.
+
+See the LaTeX manual or LaTeX Companion for explanation.
+Type  H   for immediate help.
+ ...                                              
+                                                  
+l.229   \end{Sbox}
+                  %
+You're in trouble here.  Try typing    to proceed.
+If that doesn't work, type  X   to quit.
+
+l2hSize :Sbox7771:0.0pt::0.0pt::0.0pt.
+[1
+
+
+
+]
+
+! LaTeX Error: Misplaced \endSbox! Should be in LR mode.
+
+See the LaTeX manual or LaTeX Companion for explanation.
+Type  H   for immediate help.
+ ...                                              
+                                                  
+l.260   \end{Sbox}
+                  %
+You're in trouble here.  Try typing    to proceed.
+If that doesn't work, type  X   to quit.
+
+l2hSize :Sbox7788:0.0pt::0.0pt::0.0pt.
+[2
+
+
+]
+Package atveryend Info: Empty hook `BeforeClearDocument' on input line 273.
+Package atveryend Info: Empty hook `AfterLastShipout' on input line 273.
+(./images.aux)
+Package atveryend Info: Empty hook `AtVeryEndDocument' on input line 273.
+Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 273.
+Package rerunfilecheck Info: File `images.out' has not changed.
+(rerunfilecheck)             Checksum: D41D8CD98F00B204E9800998ECF8427E;0.
+Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 273.
+ ) 
+Here is how much of TeX's memory you used:
+ 13704 strings out of 494799
+ 227394 string characters out of 6177696
+ 322233 words of memory out of 5000000
+ 16868 multiletter control sequences out of 15000+600000
+ 6061 words of font info for 25 fonts, out of 8000000 for 9000
+ 81 hyphenation exceptions out of 8191
+ 36i,6n,40p,409b,1382s stack positions out of 5000i,500n,10000p,200000b,80000s
+
+Output written on images.dvi (2 pages, 3212 bytes).
diff --git a/docs/html/images.out b/docs/html/images.out
new file mode 100644
index 00000000..e69de29b
diff --git a/docs/html/images.pl b/docs/html/images.pl
new file mode 100644
index 00000000..2fcccff4
--- /dev/null
+++ b/docs/html/images.pl
@@ -0,0 +1,1182 @@
+# LaTeX2HTML 2018 (Released Feb 1, 2018)
+# Associate images original text with physical files.
+
+
+$key = q/(0dotsnp-1);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$(0\dots np-1)$|; 
+
+$key = q/(1dotsmg);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$(1\dots mg)$|; 
+
+$key = q/(1dotsnp);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$(1\dots np)$|; 
+
+$key = q/(i+irw-1),ja(j),val(j);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$(i+irw-1),ja(j),val(j)$|; 
+
+$key = q/-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$-1$|; 
+
+$key = q/-1<=root<=np-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$-1<= root <= np-1$|; 
+
+$key = q/-1leiamlenp-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$-1 \le iam \le np-1$|; 
+
+$key = q/-1lerootlenp-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$-1\le root\le np-1$|; 
+
+$key = q/0,1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$0,1$|; 
+
+$key = q/0;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$0$|; 
+
+$key = q/0<=dst<=np-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$0<= dst <= np-1$|; 
+
+$key = q/0<=m<=size(dat,1);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$0<= m <= size(dat,1)$|; 
+
+$key = q/0<=root<=np-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$0<= root <= np-1$|; 
+
+$key = q/0<=src<=np-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$0<= src <= np-1$|; 
+
+$key = q/0leiamlenp-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$0 \le iam \le np-1$|; 
+
+$key = q/0leidlenp-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$0 \le id \le np-1$|; 
+
+$key = q/0lepv(i)|; 
+
+$key = q/1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$1$|; 
+
+$key = q/1dotsn;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$1\dots n$|; 
+
+$key = q/1dotsn_{hbox{row}_i};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$1\dots n_{\hbox{row}_i}$|; 
+
+$key = q/=0;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$=0$|; 
+
+$key = q/>0;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$>0$|; 
+
+$key = q/A;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$A$|; 
+
+$key = q/A^T;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$A^T$|; 
+
+$key = q/CG;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$CG$|; 
+
+$key = q/D;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$D$|; 
+
+$key = q/FCG(1);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$FCG(1)$|; 
+
+$key = q/I;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$I$|; 
+
+$key = q/ILU(0);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ILU(0)$|; 
+
+$key = q/IX;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$IX$|; 
+
+$key = q/N_I=nl;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$N_I=nl$|; 
+
+$key = q/O(n^2);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$O(n^2)$|; 
+
+$key = q/O(nlogn);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$O(n \log n)$|; 
+
+$key = q/P^T;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$P^T$|; 
+
+$key = q/P^{T};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$P^{T}$|; 
+
+$key = q/P_a;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$P_a$|; 
+
+$key = q/P_aP^T;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$P_aP^T$|; 
+
+$key = q/Q;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$Q$|; 
+
+$key = q/T;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$T$|; 
+
+$key = q/X;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$X$|; 
+
+$key = q/a;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$a$|; 
+
+$key = q/a_{ij}ne0;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$a_{ij} \ne0$|; 
+
+$key = q/alpha;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$\alpha$|; 
+
+$key = q/amax;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$amax$|; 
+
+$key = q/asum;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$asum$|; 
+
+$key = q/beta;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$\beta$|; 
+
+$key = q/calB;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$\cal B$|; 
+
+$key = q/calH;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$\cal H$|; 
+
+$key = q/calI;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$\cal I$|; 
+
+$key = q/collect;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$collect$|; 
+
+$key = q/dat;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$dat$|; 
+
+$key = q/dat_i;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$dat_i$|; 
+
+$key = q/diag(1)=1(noscaling);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$diag(1) = 1 (no scaling)$|; 
+
+$key = q/dot;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$dot$|; 
+
+$key = q/dst;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$dst$|; 
+
+$key = q/fbox{TheSbox};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\fbox{\TheSbox}|; 
+
+$key = q/flag=psb_sort_keep_idx_;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$flag = psb\_sort\_keep\_idx\_$|; 
+
+$key = q/flag=psb_sort_ovw_idx_;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$flag = psb\_sort\_ovw\_idx\_$|; 
+
+$key = q/glob_x;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$glob\_x$|; 
+
+$key = q/glob_x_{1:m,1:n};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$glob\_x_{1:m,1:n}$|; 
+
+$key = q/i+irw-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$i+irw-1$|; 
+
+$key = q/i;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$i$|; 
+
+$key = q/i=1,dots,nz;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$i=1,\dots,nz$|; 
+
+$key = q/i=1,nr;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$i=1,nr$|; 
+
+$key = q/ia(i),ja(i),val(i);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ia(i),ja(i),val(i)$|; 
+
+$key = q/ia(i),ja(i);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ia(i),ja(i)$|; 
+
+$key = q/ia(i);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ia(i)$|; 
+
+$key = q/iam=-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$iam=-1$|; 
+
+$key = q/id;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$id$|; 
+
+$key = q/iin{1dotsmg};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$i\in \{1\dots mg\}$|; 
+
+$key = q/includegraphics[scale=0.45]{figuresslashtry8x8.eps};FSF=1.6;AAT/;
+$cached_env_img{$key} = q|\includegraphics[scale=0.45]{figures/try8x8.eps}|; 
+
+$key = q/includegraphics[scale=0.45]{figuresslashtry8x8};FSF=1.6;AAT/;
+$cached_env_img{$key} = q|\includegraphics[scale=0.45]{figures/try8x8}|; 
+
+$key = q/includegraphics[scale=0.65]{figuresslashpoints.eps};FSF=1.6;AAT/;
+$cached_env_img{$key} = q|\includegraphics[scale=0.65]{figures/points.eps}|; 
+
+$key = q/includegraphics[scale=0.65]{figuresslashpsblas.eps};FSF=1.6;AAT/;
+$cached_env_img{$key} = q|\includegraphics[scale=0.65]{figures/psblas.eps}|; 
+
+$key = q/includegraphics[scale=0.65]{figuresslashpsblas};FSF=1.6;AAT/;
+$cached_env_img{$key} = q|\includegraphics[scale=0.65]{figures/psblas}|; 
+
+$key = q/includegraphics[scale=0.65]{figuresslashtry8x8_ov.eps};FSF=1.6;AAT/;
+$cached_env_img{$key} = q|\includegraphics[scale=0.65]{figures/try8x8_ov.eps}|; 
+
+$key = q/includegraphics[scale=0.65]{figuresslashtry8x8_ov};FSF=1.6;AAT/;
+$cached_env_img{$key} = q|\includegraphics[scale=0.65]{figures/try8x8_ov}|; 
+
+$key = q/irst>0;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$irst>0$|; 
+
+$key = q/irw(i);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$irw(i)$|; 
+
+$key = q/itmax=1000;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$itmax = 1000$|; 
+
+$key = q/itmaxge1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$itmax \ge 1$|; 
+
+$key = q/itrace;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$itrace$|; 
+
+$key = q/itrace=-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$itrace = -1$|; 
+
+$key = q/ix(1:n);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ix(1:n)$|; 
+
+$key = q/ix(:);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ix(:)$|; 
+
+$key = q/ix(i);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ix(i)$|; 
+
+$key = q/ix(i)leftarrowi;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ix(i) \leftarrow
+i$|; 
+
+$key = q/j;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$j$|; 
+
+$key = q/j=irp(i),dots,irp(i+1)-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$j=irp(i),\dots,irp(i+1)-1$|; 
+
+$key = q/ja(i);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ja(i)$|; 
+
+$key = q/lidx(1:nl);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$lidx(1:nl)$|; 
+
+$key = q/loc_x_i;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$loc\_x_i$|; 
+
+$key = q/m;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$m$|; 
+
+$key = q/mg;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$mg$|; 
+
+$key = q/n;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$n$|; 
+
+$key = q/n_{hbox{row}_i}+1dotsn_{hbox{col}_i};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$|; 
+
+$key = q/nlge0;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$nl\ge 0$|; 
+
+$key = q/nnz;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$nnz$|; 
+
+$key = q/np-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$np-1$|; 
+
+$key = q/np;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$np$|; 
+
+$key = q/nr+1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$nr+1$|; 
+
+$key = q/nrm2;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$nrm2$|; 
+
+$key = q/nv>1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$nv>1$|; 
+
+$key = q/nz;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$nz$|; 
+
+$key = q/nzin+nz;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$nzin+nz$|; 
+
+$key = q/ptype;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$ptype$|; 
+
+$key = q/r_i=b-Ax_i;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$r_i=b-Ax_i$|; 
+
+$key = q/res;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$res$|; 
+
+$key = q/root=-1;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$root=-1$|; 
+
+$key = q/rotatebox{-90}{includegraphics[scale=0.65]{figuresslashpoints}};FSF=1.6;AAT/;
+$cached_env_img{$key} = q|\rotatebox{-90}{\includegraphics[scale=0.65]{figures/points}}|; 
+
+$key = q/row;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$row$|; 
+
+$key = q/scatter;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$scatter$|; 
+
+$key = q/size(dat,1);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$size(dat,1)$|; 
+
+$key = q/slash;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$/$|; 
+
+$key = q/src;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$src$|; 
+
+$key = q/trans=N;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$trans = N$|; 
+
+$key = q/unitd=U;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$unitd = U$|; 
+
+$key = q/update_type=psb_avg_;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$update\_type = psb\_avg\_ $|; 
+
+$key = q/val;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$val$|; 
+
+$key = q/vg(i);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$vg(i)$|; 
+
+$key = q/vg;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$vg$|; 
+
+$key = q/vl(1:nl);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$vl(1:nl)$|; 
+
+$key = q/vl;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$vl$|; 
+
+$key = q/x(i);MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$x(i)$|; 
+
+$key = q/x(i)=0;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$x(i) = 0$|; 
+
+$key = q/x;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$x$|; 
+
+$key = q/x_i,y;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$x_i, y$|; 
+
+$key = q/x_i;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$x_i$|; 
+
+$key = q/x_{:,:};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$x_{:, :}$|; 
+
+$key = q/y(i)=0;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$y(i) = 0$|; 
+
+$key = q/y;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$y$|; 
+
+$key = q/y_{:,:};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$y_{:, :}$|; 
+
+$key = q/{displaymath}14{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}\verb\vert psb_version_string_\vert\end{displaymath}|; 
+
+$key = q/{displaymath}amaxleftarrowmax_i{(|re(x_i)|+|im(x_i)|)}{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath}|; 
+
+$key = q/{displaymath}amaxleftarrowmax_i|x_i|{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}|; 
+
+$key = q/{displaymath}asumleftarrow|re(x)|_1+|im(x)|_1{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}|; 
+
+$key = q/{displaymath}asumleftarrow|x_i|{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath}|; 
+
+$key = q/{displaymath}dotleftarrowx(i)y(i).{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}dot \leftarrow x(i) y(i).\end{displaymath}|; 
+
+$key = q/{displaymath}dotleftarrowx^Hy{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}dot \leftarrow x^H y\end{displaymath}|; 
+
+$key = q/{displaymath}dotleftarrowx^Ty{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}dot \leftarrow x^T y\end{displaymath}|; 
+
+$key = q/{displaymath}err=frac{|r_i|}{(|A||x_i|+|b|)}|; 
+
+$key = q/{displaymath}err=frac{|r_i|}{|b|_2}|; 
+
+$key = q/{displaymath}err=frac{|r_i|}{|r_0|_2}|; 
+
+$key = q/{displaymath}glob_xleftarrowcollect(loc_x_i){displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath}|; 
+
+$key = q/{displaymath}loc_x_ileftarrowscatter(glob_x){displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath}|; 
+
+$key = q/{displaymath}nrm1leftarrow|A|_1{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath}|; 
+
+$key = q/{displaymath}nrm2leftarrowsqrt{x^Hx}{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath}|; 
+
+$key = q/{displaymath}nrm2leftarrowsqrt{x^Tx}{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath}|; 
+
+$key = q/{displaymath}nrmileftarrow|A|_infty{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath}|; 
+
+$key = q/{displaymath}res(i)leftarrowmax_k|x(k,i)|{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}|; 
+
+$key = q/{displaymath}res(i)leftarrowx(:,i)^Ty(:,i){displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}|; 
+
+$key = q/{displaymath}res(i)leftarrow|re(x)|_1+|im(x)|_1{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}|; 
+
+$key = q/{displaymath}res(i)leftarrow|x(:,i)|_2{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}|; 
+
+$key = q/{displaymath}res(i)leftarrow|x_i|{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}|; 
+
+$key = q/{displaymath}res=sqrt{sum_idat_i^2},{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}res = \sqrt{\sum_i dat_i^2},\end{displaymath}|; 
+
+$key = q/{displaymath}slashleftarrow1slashx(i).{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}/ \leftarrow 1/x(i).\end{displaymath}|; 
+
+$key = q/{displaymath}slashleftarrowx(i)slashy(i).{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}/ \leftarrow x(i)/y(i).\end{displaymath}|; 
+
+$key = q/{displaymath}xleftarrowQx{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}x \leftarrow Q x \end{displaymath}|; 
+
+$key = q/{displaymath}xleftarrowx{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}x \leftarrow x \end{displaymath}|; 
+
+$key = q/{displaymath}yleftarrowalpha>x+betay{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath}|; 
+
+$key = q/{displaymath}yleftarrowalphaA^Hx+betay{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}
+y \leftarrow \alpha A^H x + \beta y
+\end{displaymath}|; 
+
+$key = q/{displaymath}yleftarrowalphaA^Tx+betay{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}
+y \leftarrow \alpha A^T x + \beta y
+\end{displaymath}|; 
+
+$key = q/{displaymath}yleftarrowalphaAx+betay{displaymath};MSF=1.6;AAT/;
+$cached_env_img{$key} = q|\begin{displaymath}
+y \leftarrow \alpha A x + \beta y
+\end{displaymath}|; 
+
+$key = q/{eqnarraystar}y&leftarrow&alphaT^{-1}x+betayy&leftarrow&alphaDT^{-1}x+betayy&lefhaDT^{-H}x+betayy&leftarrow&alphaT^{-H}Dx+betay{eqnarraystar};MSF=1.6;TAGS=R;AAT/;
+$cached_env_img{$key} = q|\begin{eqnarray*}
+y &\leftarrow& \alpha T^{-1} x + \beta y\\\\
+y &\leftarrow& \al...
+...-H} x + \beta y\\\\
+y &\leftarrow& \alpha T^{-H} D x + \beta y\\\\
+\end{eqnarray*}|; 
+
+$key = q/{lstlisting}callhb_read(a,iret,iunit,filename,b,mtitle){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call hb_read(a, iret, iunit, filename, b, mtitle)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callhb_write(a,iret,iunit,filename,key,rhs,mtitle){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call hb_write(a, iret, iunit, filename, key, rhs, mtitle)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callmm_array_read(b,iret,iunit,filename){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call mm_array_read(b, iret, iunit, filename)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callmm_array_write(b,iret,iunit,filename){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call mm_array_write(b, iret, iunit, filename)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callmm_mat_read(a,iret,iunit,filename){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call mm_mat_read(a, iret, iunit, filename)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callmm_mat_write(a,mtitle,iret,iunit,filename){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call mm_mat_write(a, mtitle, iret, iunit, filename)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callpsb_error(icontxt){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call psb_error(icontxt)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callpsb_errpush(err_c,r_name,i_err,a_err){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call psb_errpush(err_c, r_name, i_err, a_err)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callpsb_gather(glob_x,loc_x,desc_a,info,root)callpsb_gather(glob_x,loc_x,desc_a,info,root){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call psb_gather(glob_x, loc_x, desc_a, info, root)
+call psb_gather(glob_x, loc_x, desc_a, info, root)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callpsb_halo(x,desc_a,info)callpsb_halo(x,desc_a,info,work,data){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call psb_halo(x, desc_a, info)
+call psb_halo(x, desc_a, info, work, data)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callpsb_krylov(method,a,prec,b,x,eps,desc_a,info,&&itmax,iter,err,itrace,irst,istop,cond){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call psb_krylov(method,a,prec,b,x,eps,desc_a,info,&
+& itmax,iter,err,itrace,irst,istop,cond)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callpsb_ovrl(x,desc_a,info)callpsb_ovrl(x,desc_a,info,update=update_type,work=work){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call psb_ovrl(x, desc_a, info)
+call psb_ovrl(x, desc_a, info, update=update_type, work=work)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callpsb_scatter(glob_x,loc_x,desc_a,info,root,mold){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call psb_scatter(glob_x, loc_x, desc_a, info, root, mold)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callpsb_set_erraction(err_act){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call psb_set_erraction(err_act)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}callpsb_set_errverbosity(v){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+call psb_set_errverbosity(v)
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}vres(1)=psb_geamax(x1,desc_a,info,global=.false.)vres(2)=psb_geamax(eamax(x3,desc_a,info,global=.false.)callpsb_amx(ictxt,vres(1:3)){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+vres(1) = psb_geamax(x1,desc_a,info,global=.false.)
+vres(2)...
+...(x3,desc_a,info,global=.false.)
+call psb_amx(ictxt,vres(1:3))
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}vres(1)=psb_geasum(x1,desc_a,info,global=.false.)vres(2)=psb_geasum(easum(x3,desc_a,info,global=.false.)callpsb_sum(ictxt,vres(1:3)){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+vres(1) = psb_geasum(x1,desc_a,info,global=.false.)
+vres(2)...
+...(x3,desc_a,info,global=.false.)
+call psb_sum(ictxt,vres(1:3))
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}vres(1)=psb_gedot(x1,y1,desc_a,info,global=.false.)vres(2)=psb_gedotot(x3,y3,desc_a,info,global=.false.)callpsb_sum(ictxt,vres(1:3)){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.)
+vres(...
+...,y3,desc_a,info,global=.false.)
+call psb_sum(ictxt,vres(1:3))
+\end{lstlisting}|; 
+
+$key = q/{lstlisting}vres(1)=psb_genrm2(x1,desc_a,info,global=.false.)vres(2)=psb_genrm2(nrm2(x3,desc_a,info,global=.false.)callpsb_nrm2(ictxt,vres(1:3)){lstlisting};AAT/;
+$cached_env_img{$key} = q|\begin{lstlisting}
+vres(1) = psb_genrm2(x1,desc_a,info,global=.false.)
+vres(2)...
+...x3,desc_a,info,global=.false.)
+call psb_nrm2(ictxt,vres(1:3))
+\end{lstlisting}|; 
+
+$key = q/|{calI}_i|+|{calB}_i|+|{calH}_i|;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert +\vert{\cal H}_i\vert$|; 
+
+$key = q/|{calI}_i|+|{calB}_i|;MSF=1.6;AAT/;
+$cached_env_img{$key} = q|$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert$|; 
+
+1;
+
diff --git a/docs/html/images.tex b/docs/html/images.tex
new file mode 100644
index 00000000..2191e46c
--- /dev/null
+++ b/docs/html/images.tex
@@ -0,0 +1,273 @@
+\batchmode
+\documentclass[10pt,a4paper,twoside]{article}
+
+\usepackage{pstricks}
+\usepackage{fancybox}
+\usepackage{amsfonts}
+\usepackage[bookmarks=true,             bookmarksnumbered=true,             bookmarksopen=false,             plainpages=false,            pdfpagelabels,            colorlinks,             linkcolor=blue]{hyperref}
+\usepackage{ifthen}
+\usepackage{graphicx}
+
+\newtheorem{theorem}{Theorem} 
+\newtheorem{corollary}{Corollary} \usepackage{listings}
+
+
+\pdfoutput=0
+
+
+
+\newcounter{subroutine}[subsection] 
+\newcounter{example}[subroutine] \makeatletter%
+\providecommand{\subsubroutine}[2]{%
+\stepcounter{subroutine}%
+      \subsection*{\flushleft #1---#2 \endflushleft}%
+      \addcontentsline{toc}{subsubsection}{#1}%
+      \markright{#1}}%%
+\providecommand{\subsubsubroutine}[2]{%
+\stepcounter{subroutine}%
+      \subsubsection*{\flushleft #1---#2 \endflushleft}%
+      \addcontentsline{toc}{paragraph}{#1}%
+      \markright{#1}}%%
+\providecommand{\examplename}{Example}%
+\providecommand{\syntaxname}{Syntax} 
+
+\makeatother%
+\providecommand{\example}{\stepcounter{example}%
+\section*{Example~\arabic{example}}} 
+
+%
+\providecommand{\precdata}{\hyperlink{precdata}{{\tt psb\_prec\_type}}}%
+\providecommand{\descdata}{\hyperlink{descdata}{{\tt psb\_desc\_type}}}%
+\providecommand{\spdata}{\hyperlink{spdata}{{\tt psb\_Tspmat\_type}}}%
+\providecommand{\vdata}{\hyperlink{vdata}{{\tt psb\_T\_vect\_type}}}%
+\providecommand{\spbasedata}{\hypertarget{spbasedata}{{\tt psb\_T\_base\_sparse\_mat}}}%
+\providecommand{\vbasedata}{\hypertarget{vbasedata}{{\tt psb\_T\_base\_vect\_type}}} 
+
+
+
+
+\usepackage[latin1]{inputenc}
+
+
+
+\makeatletter
+
+\makeatletter
+\count@=\the\catcode`\_ \catcode`\_=8 
+\newenvironment{tex2html_wrap}{}{}%
+\catcode`\<=12\catcode`\_=\count@
+\newcommand{\providedcommand}[1]{\expandafter\providecommand\csname #1\endcsname}%
+\newcommand{\renewedcommand}[1]{\expandafter\providecommand\csname #1\endcsname{}%
+  \expandafter\renewcommand\csname #1\endcsname}%
+\newcommand{\newedenvironment}[1]{\newenvironment{#1}{}{}\renewenvironment{#1}}%
+\let\newedcommand\renewedcommand
+\let\renewedenvironment\newedenvironment
+\makeatother
+\let\mathon=$
+\let\mathoff=$
+\ifx\AtBeginDocument\undefined \newcommand{\AtBeginDocument}[1]{}\fi
+\newbox\sizebox
+\setlength{\hoffset}{0pt}\setlength{\voffset}{0pt}
+\addtolength{\textheight}{\footskip}\setlength{\footskip}{0pt}
+\addtolength{\textheight}{\topmargin}\setlength{\topmargin}{0pt}
+\addtolength{\textheight}{\headheight}\setlength{\headheight}{0pt}
+\addtolength{\textheight}{\headsep}\setlength{\headsep}{0pt}
+\setlength{\textwidth}{349pt}
+\newwrite\lthtmlwrite
+\makeatletter
+\let\realnormalsize=\normalsize
+\global\topskip=2sp
+\def\preveqno{}\let\real@float=\@float \let\realend@float=\end@float
+\def\@float{\let\@savefreelist\@freelist\real@float}
+\def\liih@math{\ifmmode$\else\bad@math\fi}
+\def\end@float{\realend@float\global\let\@freelist\@savefreelist}
+\let\real@dbflt=\@dbflt \let\end@dblfloat=\end@float
+\let\@largefloatcheck=\relax
+\let\if@boxedmulticols=\iftrue
+\def\@dbflt{\let\@savefreelist\@freelist\real@dbflt}
+\def\adjustnormalsize{\def\normalsize{\mathsurround=0pt \realnormalsize
+ \parindent=0pt\abovedisplayskip=0pt\belowdisplayskip=0pt}%
+ \def\phantompar{\csname par\endcsname}\normalsize}%
+\def\lthtmltypeout#1{{\let\protect\string \immediate\write\lthtmlwrite{#1}}}%
+\newcommand\lthtmlhboxmathA{\adjustnormalsize\setbox\sizebox=\hbox\bgroup\kern.05em }%
+\newcommand\lthtmlhboxmathB{\adjustnormalsize\setbox\sizebox=\hbox to\hsize\bgroup\hfill }%
+\newcommand\lthtmlvboxmathA{\adjustnormalsize\setbox\sizebox=\vbox\bgroup %
+ \let\ifinner=\iffalse \let\)\liih@math }%
+\newcommand\lthtmlboxmathZ{\@next\next\@currlist{}{\def\next{\voidb@x}}%
+ \expandafter\box\next\egroup}%
+\newcommand\lthtmlmathtype[1]{\gdef\lthtmlmathenv{#1}}%
+\newcommand\lthtmllogmath{\dimen0\ht\sizebox \advance\dimen0\dp\sizebox
+  \ifdim\dimen0>.95\vsize
+   \lthtmltypeout{%
+*** image for \lthtmlmathenv\space is too tall at \the\dimen0, reducing to .95 vsize ***}%
+   \ht\sizebox.95\vsize \dp\sizebox\z@ \fi
+  \lthtmltypeout{l2hSize %
+:\lthtmlmathenv:\the\ht\sizebox::\the\dp\sizebox::\the\wd\sizebox.\preveqno}}%
+\newcommand\lthtmlfigureA[1]{\let\@savefreelist\@freelist
+       \lthtmlmathtype{#1}\lthtmlvboxmathA}%
+\newcommand\lthtmlpictureA{\bgroup\catcode`\_=8 \lthtmlpictureB}%
+\newcommand\lthtmlpictureB[1]{\lthtmlmathtype{#1}\egroup
+       \let\@savefreelist\@freelist \lthtmlhboxmathB}%
+\newcommand\lthtmlpictureZ[1]{\hfill\lthtmlfigureZ}%
+\newcommand\lthtmlfigureZ{\lthtmlboxmathZ\lthtmllogmath\copy\sizebox
+       \global\let\@freelist\@savefreelist}%
+\newcommand\lthtmldisplayA{\bgroup\catcode`\_=8 \lthtmldisplayAi}%
+\newcommand\lthtmldisplayAi[1]{\lthtmlmathtype{#1}\egroup\lthtmlvboxmathA}%
+\newcommand\lthtmldisplayB[1]{\edef\preveqno{(\theequation)}%
+  \lthtmldisplayA{#1}\let\@eqnnum\relax}%
+\newcommand\lthtmldisplayZ{\lthtmlboxmathZ\lthtmllogmath\lthtmlsetmath}%
+\newcommand\lthtmlinlinemathA{\bgroup\catcode`\_=8 \lthtmlinlinemathB}
+\newcommand\lthtmlinlinemathB[1]{\lthtmlmathtype{#1}\egroup\lthtmlhboxmathA
+  \vrule height1.5ex width0pt }%
+\newcommand\lthtmlinlineA{\bgroup\catcode`\_=8 \lthtmlinlineB}%
+\newcommand\lthtmlinlineB[1]{\lthtmlmathtype{#1}\egroup\lthtmlhboxmathA}%
+\newcommand\lthtmlinlineZ{\egroup\expandafter\ifdim\dp\sizebox>0pt %
+  \expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetinline}
+\newcommand\lthtmlinlinemathZ{\egroup\expandafter\ifdim\dp\sizebox>0pt %
+  \expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetmath}
+\newcommand\lthtmlindisplaymathZ{\egroup %
+  \centerinlinemath\lthtmllogmath\lthtmlsetmath}
+\def\lthtmlsetinline{\hbox{\vrule width.1em \vtop{\vbox{%
+  \kern.1em\copy\sizebox}\ifdim\dp\sizebox>0pt\kern.1em\else\kern.3pt\fi
+  \ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}}
+\def\lthtmlsetmath{\hbox{\vrule width.1em\kern-.05em\vtop{\vbox{%
+  \kern.1em\kern0.8 pt\hbox{\hglue.17em\copy\sizebox\hglue0.8 pt}}\kern.3pt%
+  \ifdim\dp\sizebox>0pt\kern.1em\fi \kern0.8 pt%
+  \ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}}
+\def\centerinlinemath{%
+  \dimen1=\ifdim\ht\sizebox<\dp\sizebox \dp\sizebox\else\ht\sizebox\fi
+  \advance\dimen1by.5pt \vrule width0pt height\dimen1 depth\dimen1 
+ \dp\sizebox=\dimen1\ht\sizebox=\dimen1\relax}
+
+\def\lthtmlcheckvsize{\ifdim\ht\sizebox<\vsize 
+  \ifdim\wd\sizebox<\hsize\expandafter\hfill\fi \expandafter\vfill
+  \else\expandafter\vss\fi}%
+\providecommand{\selectlanguage}[1]{}%
+\makeatletter \tracingstats = 1 
+
+
+\begin{document}
+\pagestyle{empty}\thispagestyle{empty}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength hsize=\the\hsize}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength vsize=\the\vsize}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength hoffset=\the\hoffset}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength voffset=\the\voffset}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength topmargin=\the\topmargin}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength topskip=\the\topskip}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength headheight=\the\headheight}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength headsep=\the\headsep}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength parskip=\the\parskip}\lthtmltypeout{}%
+\lthtmltypeout{latex2htmlLength oddsidemargin=\the\oddsidemargin}\lthtmltypeout{}%
+\makeatletter
+\if@twoside\lthtmltypeout{latex2htmlLength evensidemargin=\the\evensidemargin}%
+\else\lthtmltypeout{latex2htmlLength evensidemargin=\the\oddsidemargin}\fi%
+\lthtmltypeout{}%
+\makeatother
+\setcounter{page}{1}
+\onecolumn
+
+% !!! IMAGES START HERE !!!
+
+\begingroup 
+\renewcommand{\thepage}{toc}
+\endgroup
+\stepcounter{section}
+\stepcounter{section}
+\stepcounter{subsection}
+\stepcounter{subsection}
+\stepcounter{subsection}
+\stepcounter{subsubsection}
+\stepcounter{subsection}
+\stepcounter{section}
+\stepcounter{subsection}
+\stepcounter{subsubsection}
+\stepcounter{subsubsection}
+\stepcounter{subsection}
+\stepcounter{subsubsection}
+\stepcounter{subsubsection}
+\stepcounter{subsection}
+\stepcounter{subsubsection}
+\stepcounter{subsection}
+\stepcounter{subsection}
+\stepcounter{section}
+\stepcounter{section}
+\stepcounter{section}
+\stepcounter{section}
+\stepcounter{section}
+{\newpage\clearpage
+\lthtmlfigureA{Sbox7771}%
+\begin{Sbox}
+    \begin{minipage}[tl]{0.95\textwidth}
+\small
+\begin{lstlisting}
+subroutine psb_foo(some args, info)
+   ...
+   if(error detected) then
+      info=errcode1
+      call psb_errpush('psb_foo', errcode1)
+      goto 9999
+   end if
+   ...
+   call psb_bar(some args, info)
+   if(info .ne. zero) then
+      info=errcode2
+      call psb_errpush('psb_foo', errcode2)
+      goto 9999
+   end if
+   ...
+9999 continue
+   if (err_act .eq. act_abort) then
+     call psb_error(icontxt)
+     return
+   else
+     return
+   end if
+\par
+end subroutine psb_foo
+\end{lstlisting}
+    \end{minipage}
+  \end{Sbox}%
+\lthtmlfigureZ
+\lthtmlcheckvsize\clearpage}
+
+
+
+\setlength{\fboxsep}{8pt}%
+
+\setlength{\fboxsep}{8pt}
+{\newpage\clearpage
+\lthtmlfigureA{Sbox7788}%
+\begin{Sbox}
+    \begin{minipage}[tl]{0.95\textwidth}
+\begin{verbatim}
+
+==========================================================
+Process: 0.  PSBLAS Error (4010) in subroutine: df_sample           
+Error from call to subroutine mat dist            
+==========================================================
+Process: 0.  PSBLAS Error (4010) in subroutine: mat_distv           
+Error from call to subroutine psb_spasb           
+==========================================================
+Process: 0.  PSBLAS Error (4010) in subroutine: psb_spasb           
+Error from call to subroutine psb_cest            
+==========================================================
+Process: 0.  PSBLAS Error (136) in subroutine: psb_cest            
+Format FOO is unknown
+==========================================================
+Aborting...\end{verbatim}
+
+    \end{minipage}
+  \end{Sbox}%
+\lthtmlfigureZ
+\lthtmlcheckvsize\clearpage}
+
+
+
+\setlength{\fboxsep}{8pt}%
+
+\setlength{\fboxsep}{8pt}
+\stepcounter{section}
+\stepcounter{section}
+\stepcounter{section}
+
+\end{document}
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diff --git a/docs/html/index.html b/docs/html/index.html
index e3200a83..cccebd92 100644
--- a/docs/html/index.html
+++ b/docs/html/index.html
@@ -20,18 +20,18 @@
 
 
 

-
 next 
 up 
 previous 
-
 contents  
 

- Next:  Next: Contents
-       Contents 
 

 

@@ -61,345 +61,351 @@ Dec 1st, 2018
+

+

Notes

    -
  1. For processes in the virtual parallel machine the identifier - will satisfy $0 \le iam \le np-1$; + WIDTH="180" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img131.png" + ALT="$flag = psb\_sort\_ovw\_idx\_$"> then the entries in $ix(1:n)$ + where $n$ is the size of $x$ are initialized to +$ix(i) \leftarrow +i$; thus, upon return from the subroutine, for each + index $i$ we have in $ix(i)$ the position that the item $x(i)$ + occupied in the original data sequence;
    2. -
  2. If the user has requested on psb_init a number of - processes less than the total available in the parallel execution - environment, the remaining processes will have on return If +$flag = psb\_sort\_keep\_idx\_$ the routine will assume that + the entries in $iam=-1$; - the only call involving icontxt that any such process may - execute is to psb_exit. + ALT="$ix(:)$"> have already been initialized by the user; +
    3. +
  3. The three sorting algorithms have a similar $O(n \log n)$ expected + running time; in the average case quicksort will be the + fastest and merge-sort the slowest. However note that: + +
      +
    1. The worst case running time for quicksort is $O(n^2)$; the algorithm + implemented here follows the well-known median-of-three heuristics, + but the worst case may still apply; +
      2. +
    2. The worst case running time for merge-sort and heap-sort is + $O(n \log n)$ as the average case; +
      3. +
    3. The merge-sort algorithm is implemented to take advantage of + subsequences that may be already in the desired ordering prior to + the subroutine call; this situation is relatively common when + dealing with groups of indices of sparse matrix entries, thus + merge-sort is the preferred choice when a sorting is needed + by other routines in the library.
    +
    4. +
+ +

-

+ +
+ + +next + +up + +previous + +contents +
+ Next: Parallel environment routines + Up: Data management routines + Previous: psb_sizeof Memory +   Contents
+ diff --git a/docs/html/node102.html b/docs/html/node102.html index ef55917c..10f2e367 100644 --- a/docs/html/node102.html +++ b/docs/html/node102.html @@ -3,8 +3,8 @@ -psb_exit -- Exit from PSBLAS parallel environment - +Parallel environment routines + @@ -14,136 +14,93 @@ - - - + + +
- next - + up - previous - contents
- Next: psb_get_mpicomm Get - Up: Parallel environment routines - Previous: psb_info Return -   Next: psb_init Initializes + Up: userhtml + Previous: Sorting utilities +   Contents

-

-psb_exit -- Exit from PSBLAS parallel - environment -

- -

-

-call psb_exit(icontxt)
-call psb_exit(icontxt,close)
-
- -

-This subroutine exits from the PSBLAS parallel virtual machine. -

-
Type:
-
Synchronous. -
-
On Entry
-
-
-
icontxt
-
the communication context identifying the virtual - parallel machine. +

+
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -

-
close
-
Whether to close all data structures related to the - virtual parallel machine, besides those associated with icontxt. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: a logical variable, default value: true. -
-
- -

-Notes - -

    -
  1. This routine may be called even if a previous call to - psb_info has returned with $iam=-1$; indeed, it it is the only - routine that may be called with argument icontxt in this - situation. -
    2. -
  2. A call to this routine with close=.true. implies a call - to MPI_Finalize, after which no parallel routine may be called. -
    3. -
  3. If the user whishes to use multiple communication contexts in the - same program, or to enter and exit multiple times into the parallel - environment, this routine may be called to - selectively close the contexts with close=.false., while on - the last call it should be called with close=.true. to - shutdown in a clean way the entire parallel environment. -
    4. -
+Parallel environment routines +

+

+ +Subsections -
- - -next - -up - -previous - -contents -
- Next: psb_get_mpicomm Get - Up: Parallel environment routines - Previous: psb_info Return -   Contents
- + + +
diff --git a/docs/html/node103.html b/docs/html/node103.html index 86979e32..419c426d 100644 --- a/docs/html/node103.html +++ b/docs/html/node103.html @@ -3,8 +3,8 @@ -psb_get_mpicomm -- Get the MPI communicator - +psb_init -- Initializes PSBLAS parallel environment + @@ -16,67 +16,97 @@ - +
- next - + up - previous - contents
- Next: psb_get_rank Get - Up: Parallel environment routines - Previous: psb_exit Exit -   Next: psb_info Return + Up: Parallel environment routines + Previous: Parallel environment routines +   Contents

-

-psb_get_mpicomm -- Get the MPI communicator +

+psb_init -- Initializes PSBLAS parallel + environment 

-call psb_get_mpicomm(icontxt, icomm)
+call psb_init(icontxt, np, basectxt, ids)

-This subroutine returns the MPI communicator associated with a PSBLAS context +This subroutine initializes the PSBLAS parallel environment, defining +a virtual parallel machine.

Type:
-
Asynchronous. +
Synchronous.
On Entry
-
icontxt
-
the communication context identifying the virtual - parallel machine. +
np
+
Number of processes in the PSBLAS virtual parallel machine.
Scope: global.
-Type: required. +Type: optional.
Intent: in.
-Specified as: an integer variable. +Specified as: an integer value. Default: use all available processes. +
+
basectxt
+
the initial communication context. The new context + will be defined from the processes participating in the initial one. +
+Scope: global. +
+Type: optional. +
+Intent: in. +
+Specified as: an integer value. Default: use MPI_COMM_WORLD. +
+
ids
+
Identities of the processes to use for the new context; the + argument is ignored when np is not specified. This allows the + processes in the new environment to be in an order different from the + original one. +
+Scope: global. +
+Type: optional. +
+Intent: in. +
+Specified as: an integer array. Default: use the indices $(0\dots np-1)$.
@@ -85,19 +115,63 @@ Specified as: an integer variable.
On Return
-
icomm
-
The MPI communicator associated with the PSBLAS virtual parallel machine. +
icontxt
+
the communication context identifying the virtual + parallel machine. Note that this is always a duplicate of + basectxt, so that library communications are completely + separated from other communication operations.
Scope: global.
Type: required.
Intent: out. -
+
+Specified as: an integer variable. +

-

+Notes + +
    +
  1. A call to this routine must precede any other PSBLAS call. +
    2. +
  2. It is an error to specify a value for $np$ greater than the + number of processes available in the underlying base parallel + environment. +
    3. +
+ +

+ +

+ + +next + +up + +previous + +contents +
+ Next: psb_info Return + Up: Parallel environment routines + Previous: Parallel environment routines +   Contents
+ diff --git a/docs/html/node104.html b/docs/html/node104.html index 2c8cd368..6eda8e7e 100644 --- a/docs/html/node104.html +++ b/docs/html/node104.html @@ -3,8 +3,8 @@ -psb_get_rank -- Get the MPI rank - +psb_info -- Return information about PSBLAS parallel environment + @@ -16,52 +16,51 @@ - +
- next - + up - previous - contents
- Next: psb_wtime Wall - Up: Parallel environment routines - Previous: psb_get_mpicomm Get -   Next: psb_exit Exit + Up: Parallel environment routines + Previous: psb_init Initializes +   Contents

-

-psb_get_rank -- Get the MPI rank +

+psb_info -- Return information about PSBLAS parallel + environment 

-call psb_get_rank(rank, icontxt, id)
+call psb_info(icontxt, iam, np)

-This subroutine returns the MPI rank of the PSBLAS process $id$ +This subroutine returns information about the PSBLAS parallel environment, defining +a virtual parallel machine.

Type:
Asynchronous. @@ -81,43 +80,65 @@ Intent: in.
Specified as: an integer variable.
-
id
-
Identifier of a process in the PSBLAS virtual parallel machine. +
+ +

+

+
On Return
+
+
+
iam
+
Identifier of current process in the PSBLAS virtual parallel machine.
Scope: local.
Type: required.
-Intent: in. +Intent: out.
Specified as: an integer value. $0 \le id \le np-1$
-
- -

-

-
On Return
-
-
-
rank
-
The MPI rank associated with the PSBLAS process $id$. + WIDTH="139" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img141.png" + ALT="$-1 \le iam \le np-1$">
+
np
+
Number of processes in the PSBLAS virtual parallel machine.
-Scope: local. +Scope: global.
Type: required.
Intent: out. -
+
+Specified as: an integer variable.
+

+Notes + +

    +
  1. For processes in the virtual parallel machine the identifier + will satisfy +$0 \le iam \le np-1$; +
    2. +
  2. If the user has requested on psb_init a number of + processes less than the total available in the parallel execution + environment, the remaining processes will have on return $iam=-1$; + the only call involving icontxt that any such process may + execute is to psb_exit. +
    3. +
+


diff --git a/docs/html/node105.html b/docs/html/node105.html index a93ed542..a9efb2cb 100644 --- a/docs/html/node105.html +++ b/docs/html/node105.html @@ -3,8 +3,8 @@ -psb_wtime -- Wall clock timing - +psb_exit -- Exit from PSBLAS parallel environment + @@ -16,66 +16,134 @@ - +
- next - + up - previous - contents
- Next: psb_barrier Sinchronization - Up: Parallel environment routines - Previous: psb_get_rank Get -   Next: psb_get_mpicomm Get + Up: Parallel environment routines + Previous: psb_info Return +   Contents

-

-psb_wtime -- Wall clock timing +

+psb_exit -- Exit from PSBLAS parallel + environment 

-time = psb_wtime()
+call psb_exit(icontxt)
+call psb_exit(icontxt,close)

-This function returns a wall clock timer. The resolution of the timer -is dependent on the underlying parallel environment implementation. +This subroutine exits from the PSBLAS parallel virtual machine.

Type:
-
Asynchronous. +
Synchronous.
-
On Exit
+
On Entry
-
Function value
-
the elapsed time in seconds. +
icontxt
+
the communication context identifying the virtual + parallel machine.
-Returned as: a real(psb_dpk_) variable. +Scope: global. +
+Type: required. +
+Intent: in. +
+Specified as: an integer variable. +
+
close
+
Whether to close all data structures related to the + virtual parallel machine, besides those associated with icontxt. +
+Scope: global. +
+Type: optional. +
+Intent: in. +
+Specified as: a logical variable, default value: true.

-

+Notes + +
    +
  1. This routine may be called even if a previous call to + psb_info has returned with $iam=-1$; indeed, it it is the only + routine that may be called with argument icontxt in this + situation. +
    2. +
  2. A call to this routine with close=.true. implies a call + to MPI_Finalize, after which no parallel routine may be called. +
    3. +
  3. If the user whishes to use multiple communication contexts in the + same program, or to enter and exit multiple times into the parallel + environment, this routine may be called to + selectively close the contexts with close=.false., while on + the last call it should be called with close=.true. to + shutdown in a clean way the entire parallel environment. +
    4. +
+ +

+ +

+ + +next + +up + +previous + +contents +
+ Next: psb_get_mpicomm Get + Up: Parallel environment routines + Previous: psb_info Return +   Contents
+ diff --git a/docs/html/node106.html b/docs/html/node106.html index 74bd3f51..047d0ff4 100644 --- a/docs/html/node106.html +++ b/docs/html/node106.html @@ -3,8 +3,8 @@ -psb_barrier -- Sinchronization point parallel environment - +psb_get_mpicomm -- Get the MPI communicator + @@ -16,54 +16,52 @@ - +
- next - + up - previous - contents
- Next: psb_abort Abort - Up: Parallel environment routines - Previous: psb_wtime Wall -   Next: psb_get_rank Get + Up: Parallel environment routines + Previous: psb_exit Exit +   Contents

-

-psb_barrier -- Sinchronization point parallel - environment +

+psb_get_mpicomm -- Get the MPI communicator 

-call psb_barrier(icontxt)
+call psb_get_mpicomm(icontxt, icomm)

-This subroutine acts as an explicit synchronization point for the PSBLAS -parallel virtual machine. +This subroutine returns the MPI communicator associated with a PSBLAS context

Type:
-
Synchronous. +
Asynchronous.
On Entry
@@ -82,6 +80,22 @@ Specified as: an integer variable.
+

+

+
On Return
+
+
+
icomm
+
The MPI communicator associated with the PSBLAS virtual parallel machine. +
+Scope: global. +
+Type: required. +
+Intent: out. +
+
+


diff --git a/docs/html/node107.html b/docs/html/node107.html index 0f37acf3..a7b9c720 100644 --- a/docs/html/node107.html +++ b/docs/html/node107.html @@ -3,8 +3,8 @@ -psb_abort -- Abort a computation - +psb_get_rank -- Get the MPI rank + @@ -16,49 +16,52 @@ - +
- next - + up - previous - contents
- Next: psb_bcast Broadcast - Up: Parallel environment routines - Previous: psb_barrier Sinchronization -   Next: psb_wtime Wall + Up: Parallel environment routines + Previous: psb_get_mpicomm Get +   Contents

-

-psb_abort -- Abort a computation +

+psb_get_rank -- Get the MPI rank 

-call psb_abort(icontxt)
+call psb_get_rank(rank, icontxt, id)

-This subroutine aborts computation on the parallel virtual machine. +This subroutine returns the MPI rank of the PSBLAS process $id$

Type:
Asynchronous. @@ -78,6 +81,41 @@ Intent: in.
Specified as: an integer variable.
+
id
+
Identifier of a process in the PSBLAS virtual parallel machine. +
+Scope: local. +
+Type: required. +
+Intent: in. +
+Specified as: an integer value. +$0 \le id \le np-1$
+
+ +

+

+
On Return
+
+
+
rank
+
The MPI rank associated with the PSBLAS process $id$. +
+Scope: local. +
+Type: required. +
+Intent: out. +

diff --git a/docs/html/node108.html b/docs/html/node108.html index cada5b11..813dd87f 100644 --- a/docs/html/node108.html +++ b/docs/html/node108.html @@ -3,8 +3,8 @@ -psb_bcast -- Broadcast data - +psb_wtime -- Wall clock timing + @@ -16,116 +16,61 @@ - +

- next - + up - previous - contents
- Next: psb_sum Global - Up: Parallel environment routines - Previous: psb_abort Abort -   Next: psb_barrier Sinchronization + Up: Parallel environment routines + Previous: psb_get_rank Get +   Contents

-

-psb_bcast -- Broadcast data +

+psb_wtime -- Wall clock timing 

-call psb_bcast(icontxt, dat, root)
+time = psb_wtime()

-This subroutine implements a broadcast operation based on the -underlying communication library. +This function returns a wall clock timer. The resolution of the timer +is dependent on the underlying parallel environment implementation.

Type:
-
Synchronous. +
Asynchronous.
-
On Entry
+
On Exit
-
icontxt
-
the communication context identifying the virtual - parallel machine. +
Function value
+
the elapsed time in seconds.
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer variable. -
-
dat
-
On the root process, the data to be broadcast. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array, or a character or logical variable, -which may be a scalar or rank 1 array. Type, kind, rank and size must agree on all processes. -
-
root
-
Root process holding data to be broadcast. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$0<= root <= np-1$, default 0
-
- -

-

-
On Return
-
-
-
dat
-
On processes other than root, the data to be broadcast. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind, rank and size must agree on all processes. +Returned as: a real(psb_dpk_) variable.
diff --git a/docs/html/node109.html b/docs/html/node109.html index c023b27a..e9725952 100644 --- a/docs/html/node109.html +++ b/docs/html/node109.html @@ -3,8 +3,8 @@ -psb_sum -- Global sum - +psb_barrier -- Sinchronization point parallel environment + @@ -16,50 +16,51 @@ - +
- next - + up - previous - contents
- Next: psb_max Global - Up: Parallel environment routines - Previous: psb_bcast Broadcast -   Next: psb_abort Abort + Up: Parallel environment routines + Previous: psb_wtime Wall +   Contents

-

-psb_sum -- Global sum +

+psb_barrier -- Sinchronization point parallel + environment 

-call psb_sum(icontxt, dat, root)
+call psb_barrier(icontxt)

-This subroutine implements a sum reduction operation based on the -underlying communication library. +This subroutine acts as an explicit synchronization point for the PSBLAS +parallel virtual machine.

Type:
Synchronous. @@ -79,99 +80,10 @@ Intent: in.
Specified as: an integer variable.
-
dat
-
The local contribution to the global sum. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
root
-
Process to hold the final sum, or $-1$ to make it available - on all processes. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$-1<= root <= np-1$, default -1.
-
- -

-

-
On Return
-
-
-
dat
-
On destination process(es), the result of the sum operation. -
-Scope: global. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. -
-Type, kind, rank and size must agree on all processes. -

-Notes - -

    -
  1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. -
    2. -
  2. The dat argument may also be a long integer scalar. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_max Global - Up: Parallel environment routines - Previous: psb_bcast Broadcast -   Contents
- +
diff --git a/docs/html/node11.html b/docs/html/node11.html index c3adba33..4952cd9b 100644 --- a/docs/html/node11.html +++ b/docs/html/node11.html @@ -23,26 +23,26 @@
- next - up - previous - contents
- Next: Next: get_local_rows Get - Up: Up: Descriptor data structure - Previous: Previous: Descriptor data structure -   Contents

diff --git a/docs/html/node110.html b/docs/html/node110.html index 06883b02..df63b41c 100644 --- a/docs/html/node110.html +++ b/docs/html/node110.html @@ -3,8 +3,8 @@ -psb_max -- Global maximum - +psb_abort -- Abort a computation + @@ -16,53 +16,52 @@ - +
- next - + up - previous - contents
- Next: psb_min Global - Up: Parallel environment routines - Previous: psb_sum Global -   Next: psb_bcast Broadcast + Up: Parallel environment routines + Previous: psb_barrier Sinchronization +   Contents

-

-psb_max -- Global maximum +

+psb_abort -- Abort a computation 

-call psb_max(icontxt, dat, root)
+call psb_abort(icontxt)

-This subroutine implements a maximum valuereduction -operation based on the underlying communication library. +This subroutine aborts computation on the parallel virtual machine.

Type:
-
Synchronous. +
Asynchronous.
On Entry
@@ -79,98 +78,10 @@ Intent: in.
Specified as: an integer variable.
-
dat
-
The local contribution to the global maximum. -
-Scope: local. -
-Type: required. -
-Intent: inout. -
-Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
root
-
Process to hold the final maximum, or $-1$ to make it available - on all processes. -
-Scope: global. -
-Type: optional. -
-Intent: in. -
-Specified as: an integer value -$-1<= root <= np-1$, default -1. -

-

-
On Return
-
-
-
dat
-
On destination process(es), the result of the maximum operation. -
-Scope: global. -
-Type: required. -
-Intent: in. -
-Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
-
- -

-Notes - -

    -
  1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. -
    2. -
  2. The dat argument may also be a long integer scalar. -
    3. -
- -

- -

- - -next - -up - -previous - -contents -
- Next: psb_min Global - Up: Parallel environment routines - Previous: psb_sum Global -   Contents
- +
diff --git a/docs/html/node111.html b/docs/html/node111.html index 76e40bd5..febe6db2 100644 --- a/docs/html/node111.html +++ b/docs/html/node111.html @@ -3,8 +3,8 @@ -psb_min -- Global minimum - +psb_bcast -- Broadcast data + @@ -16,50 +16,50 @@ - +
- next - + up - previous - contents
- Next: psb_amx Global - Up: Parallel environment routines - Previous: psb_max Global -   Next: psb_sum Global + Up: Parallel environment routines + Previous: psb_abort Abort +   Contents

-

-psb_min -- Global minimum +

+psb_bcast -- Broadcast data 

-call psb_min(icontxt, dat, root)
+call psb_bcast(icontxt, dat, root)

-This subroutine implements a minimum value reduction -operation based on the underlying communication library. +This subroutine implements a broadcast operation based on the +underlying communication library.

Type:
Synchronous. @@ -80,23 +80,20 @@ Intent: in. Specified as: an integer variable.
dat
-
The local contribution to the global minimum. +
On the root process, the data to be broadcast.
-Scope: local. +Scope: global.
Type: required.
Intent: inout.
-Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array, or a character or logical variable, +which may be a scalar or rank 1 array. Type, kind, rank and size must agree on all processes.
root
-
Process to hold the final value, or $-1$ to make it available - on all processes. +
Root process holding data to be broadcast.
Scope: global.
@@ -105,13 +102,12 @@ Type: optional. Intent: in.
Specified as: an integer value $-1<= root <= np-1$, default -1. -
+ WIDTH="153" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img146.png" + ALT="$0<= root <= np-1$">, default 0

@@ -120,7 +116,7 @@ Specified as: an integer value - -next - -up - -previous - -contents -
- Next: psb_amx Global - Up: Parallel environment routines - Previous: psb_max Global -   Contents - +

diff --git a/docs/html/node112.html b/docs/html/node112.html index 36e57ef8..7038a6b6 100644 --- a/docs/html/node112.html +++ b/docs/html/node112.html @@ -3,8 +3,8 @@ -psb_amx -- Global maximum absolute value - +psb_sum -- Global sum + @@ -16,50 +16,50 @@ - +
- next - + up - previous - contents
- Next: psb_amn Global - Up: Parallel environment routines - Previous: psb_min Global -   Next: psb_max Global + Up: Parallel environment routines + Previous: psb_bcast Broadcast +   Contents

-

-psb_amx -- Global maximum absolute value +

+psb_sum -- Global sum 

-call psb_amx(icontxt, dat, root)
+call psb_sum(icontxt, dat, root)

-This subroutine implements a maximum absolute value reduction -operation based on the underlying communication library. +This subroutine implements a sum reduction operation based on the +underlying communication library.

Type:
Synchronous. @@ -80,9 +80,9 @@ Intent: in. Specified as: an integer variable.
dat
-
The local contribution to the global maximum. +
The local contribution to the global sum.
-Scope: local. +Scope: global.
Type: required.
@@ -92,9 +92,9 @@ Specified as: an integer, real or complex variable, which may be a scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
root
-
Process to hold the final value, or Process to hold the final sum, or $-1$ to make it available on all processes.
@@ -108,10 +108,9 @@ Specified as: an integer value $-1<= root <= np-1$, default -1. -
+ WIDTH="165" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img147.png" + ALT="$-1<= root <= np-1$">, default -1.

@@ -120,7 +119,7 @@ Specified as: an integer value - next - + up - previous - contents
- Next: psb_amn Global - Up: Parallel environment routines - Previous: psb_min Global -   Next: psb_max Global + Up: Parallel environment routines + Previous: psb_bcast Broadcast +   Contents diff --git a/docs/html/node113.html b/docs/html/node113.html index 587b7431..f1e003d0 100644 --- a/docs/html/node113.html +++ b/docs/html/node113.html @@ -3,8 +3,8 @@ -psb_amn -- Global minimum absolute value - +psb_max -- Global maximum + @@ -16,49 +16,49 @@ - +

- next - + up - previous - contents
- Next: psb_nrm2 Global - Up: Parallel environment routines - Previous: psb_amx Global -   Next: psb_min Global + Up: Parallel environment routines + Previous: psb_sum Global +   Contents

-

-psb_amn -- Global minimum absolute value +

+psb_max -- Global maximum 

-call psb_amn(icontxt, dat, root)
+call psb_max(icontxt, dat, root)

-This subroutine implements a minimum absolute value reduction +This subroutine implements a maximum valuereduction operation based on the underlying communication library.

Type:
@@ -80,7 +80,7 @@ Intent: in. Specified as: an integer variable.
dat
-
The local contribution to the global minimum. +
The local contribution to the global maximum.
Scope: local.
@@ -88,13 +88,13 @@ Type: required.
Intent: inout.
-Specified as: an integer, real or complex variable, which may be a +Specified as: an integer or real variable, which may be a scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
root
-
Process to hold the final value, or Process to hold the final maximum, or $-1$ to make it available on all processes.
@@ -108,8 +108,8 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
@@ -120,18 +120,16 @@ Specified as: an integer value - next - + up - previous - contents
- Next: psb_nrm2 Global - Up: Parallel environment routines - Previous: psb_amx Global -   Next: psb_min Global + Up: Parallel environment routines + Previous: psb_sum Global +   Contents diff --git a/docs/html/node114.html b/docs/html/node114.html index 0f1bd184..15ca157e 100644 --- a/docs/html/node114.html +++ b/docs/html/node114.html @@ -3,8 +3,8 @@ -psb_nrm2 -- Global 2-norm reduction - +psb_min -- Global minimum + @@ -16,49 +16,49 @@ - +
- next - + up - previous - contents
- Next: psb_snd Send - Up: Parallel environment routines - Previous: psb_amn Global -   Next: psb_amx Global + Up: Parallel environment routines + Previous: psb_max Global +   Contents

-

-psb_nrm2 -- Global 2-norm reduction +

+psb_min -- Global minimum 

-call psb_nrm2(icontxt, dat, root)
+call psb_min(icontxt, dat, root)

-This subroutine implements a 2-norm value reduction +This subroutine implements a minimum value reduction operation based on the underlying communication library.

Type:
@@ -88,13 +88,13 @@ Type: required.
Intent: inout.
-Specified as: a real variable, which may be a -scalar, or a rank 1 array. Kind, rank and size must agree on all processes. +Specified as: an integer or real variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
root
Process to hold the final value, or $-1$ to make it available on all processes.
@@ -108,8 +108,8 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
@@ -120,7 +120,7 @@ Specified as: an integer value - -\begin{displaymath}res = \sqrt{\sum_i dat_i^2},\end{displaymath} - -
-

-with care taken to avoid unnecessary overflow. -
  • The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.
    • +
  • The dat argument may also be a long integer scalar. +

    • - next - + up - previous - contents
    - Next: psb_snd Send - Up: Parallel environment routines - Previous: psb_amn Global -   Next: psb_amx Global + Up: Parallel environment routines + Previous: psb_max Global +   Contents
    diff --git a/docs/html/node115.html b/docs/html/node115.html index 2da350d6..afa24b62 100644 --- a/docs/html/node115.html +++ b/docs/html/node115.html @@ -3,8 +3,8 @@ -psb_snd -- Send data - +psb_amx -- Global maximum absolute value + @@ -16,52 +16,53 @@ - +
    - next - + up - previous - contents
    - Next: psb_rcv Receive - Up: Parallel environment routines - Previous: psb_nrm2 Global -   Next: psb_amn Global + Up: Parallel environment routines + Previous: psb_min Global +   Contents

    -

    -psb_snd -- Send data +

    +psb_amx -- Global maximum absolute value 

    -call psb_snd(icontxt, dat, dst, m)
+call psb_amx(icontxt, dat, root)

    -This subroutine sends a packet of data to a destination. +This subroutine implements a maximum absolute value reduction +operation based on the underlying communication library.

    Type:
    -
    Synchronous: see usage notes. +
    Synchronous.
    On Entry
    @@ -79,65 +80,38 @@ Intent: in. Specified as: an integer variable.
    dat
    -
    The data to be sent. +
    The local contribution to the global maximum.
    Scope: local.
    Type: required.
    -Intent: in. +Intent: inout.
    Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is -not specified, size must agree as well. +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
    -
    dst
    -
    Destination process. -
    -Scope: global. -
    -Type: required. -
    -Intent: in. -
    -Specified as: an integer value -$0<= dst <= np-1$. -
    -
    m
    -
    Number of rows. +
    root
    +
    Process to hold the final value, or $-1$ to make it available + on all processes.
    Scope: global.
    -Type: Optional. +Type: optional.
    Intent: in.
    Specified as: an integer value $0<= m <= size(dat,1)$. -
    -When $dat$ is a rank 2 array, specifies the number of rows to be sent -independently of the leading dimension $size(dat,1)$; must have the -same value on sending and receiving processes. -
    + ALT="$-1<= root <= np-1$">, default -1. +

    @@ -145,17 +119,29 @@ same value on sending and receiving processes.

    On Return
    +
    dat
    +
    On destination process(es), the result of the maximum operation. +
    +Scope: global. +
    +Type: required. +
    +Intent: inout. +
    +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. +

    Notes

      -
    1. This subroutine implies a synchronization, but only between the - calling process and the destination process $dst$. +
    2. The dat argument is both input and output, and its + value may be changed even on processes different from the final + result destination. +
      3. +
    3. The dat argument may also be a long integer scalar.
    @@ -163,26 +149,26 @@ same value on sending and receiving processes.
    - next - + up - previous - contents
    - Next: psb_rcv Receive - Up: Parallel environment routines - Previous: psb_nrm2 Global -   Next: psb_amn Global + Up: Parallel environment routines + Previous: psb_min Global +   Contents
    diff --git a/docs/html/node116.html b/docs/html/node116.html index 6f0eaa1e..6ed39834 100644 --- a/docs/html/node116.html +++ b/docs/html/node116.html @@ -3,8 +3,8 @@ -psb_rcv -- Receive data - +psb_amn -- Global minimum absolute value + @@ -14,53 +14,55 @@ + - +
    - next - + up - previous - contents
    - Next: Error handling - Up: Parallel environment routines - Previous: psb_snd Send -   Next: psb_nrm2 Global + Up: Parallel environment routines + Previous: psb_amx Global +   Contents

    -

    -psb_rcv -- Receive data +

    +psb_amn -- Global minimum absolute value 

    -call psb_rcv(icontxt, dat, src, m)
+call psb_amn(icontxt, dat, root)

    -This subroutine receives a packet of data to a destination. +This subroutine implements a minimum absolute value reduction +operation based on the underlying communication library.

    Type:
    -
    Synchronous: see usage notes. +
    Synchronous.
    On Entry
    @@ -77,50 +79,39 @@ Intent: in.
    Specified as: an integer variable.
    -
    src
    -
    Source process. +
    dat
    +
    The local contribution to the global minimum.
    -Scope: global. +Scope: local.
    Type: required.
    -Intent: in. +Intent: inout.
    -Specified as: an integer value -$0<= src <= np-1$. -
    -
    m
    -
    Number of rows. +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. +
    +
    root
    +
    Process to hold the final value, or $-1$ to make it available + on all processes.
    Scope: global.
    -Type: Optional. +Type: optional.
    Intent: in.
    Specified as: an integer value $0<= m <= size(dat,1)$. -
    -When $dat$ is a rank 2 array, specifies the number of rows to be sent -independently of the leading dimension $size(dat,1)$; must have the -same value on sending and receiving processes. -
    + ALT="$-1<= root <= np-1$">, default -1. +

    @@ -129,20 +120,18 @@ same value on sending and receiving processes.

    dat
    -
    The data to be received. +
    On destination process(es), the result of the minimum operation.
    -Scope: local. +Scope: global.
    Type: required.
    Intent: inout.
    Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is -not specified, size must agree as well. +scalar, or a rank 1 or 2 array. +
    +Type, kind, rank and size must agree on all processes.
    @@ -150,11 +139,11 @@ not specified, size must agree as well. Notes
      -
    1. This subroutine implies a synchronization, but only between the - calling process and the source process $src$. +
    2. The dat argument is both input and output, and its + value may be changed even on processes different from the final + result destination. +
      3. +
    3. The dat argument may also be a long integer scalar.
    @@ -162,26 +151,26 @@ not specified, size must agree as well.
    - next - + up - previous - contents
    - Next: Error handling - Up: Parallel environment routines - Previous: psb_snd Send -   Next: psb_nrm2 Global + Up: Parallel environment routines + Previous: psb_amx Global +   Contents
    diff --git a/docs/html/node117.html b/docs/html/node117.html index 3f350078..765c6835 100644 --- a/docs/html/node117.html +++ b/docs/html/node117.html @@ -3,8 +3,8 @@ -Error handling - +psb_nrm2 -- Global 2-norm reduction + @@ -15,326 +15,194 @@ - - + +
    - next - + up - previous - contents
    - Next: Utilities - Up: userhtml - Previous: psb_rcv Receive -   Next: psb_snd Send + Up: Parallel environment routines + Previous: psb_amn Global +   Contents

    -

    -Error handling -

    +

    +psb_nrm2 -- Global 2-norm reduction +

    -The PSBLAS library error handling policy has been completely rewritten -in version 2.0. The idea behind the design of this new error handling -strategy is to keep error messages on a stack allowing the user to -trace back up to the point where the first error message has been -generated. Every routine in the PSBLAS-2.0 library has, as last -non-optional argument, an integer info variable; whenever, -inside the routine, an error is detected, this variable is set to a -value corresponding to a specific error code. Then this error code is -also pushed on the error stack and then either control is returned to -the caller routine or the execution is aborted, depending on the users -choice. At the time when the execution is aborted, an error message is -printed on standard output with a level of verbosity than can be -chosen by the user. If the execution is not aborted, then, the caller -routine checks the value returned in the info variable and, if -not zero, an error condition is raised. This process continues on all the -levels of nested calls until the level where the user decides to abort -the program execution. - -

    -Figure 9 shows the layout of a generic psb_foo -routine with respect to the PSBLAS-2.0 error handling policy. It is -possible to see how, whenever an error condition is detected, the -info variable is set to the corresponding error code which is, -then, pushed on top of the stack by means of the -psb_errpush. An error condition may be directly detected inside -a routine or indirectly checking the error code returned returned by a -called routine. Whenever an error is encountered, after it has been -pushed on stack, the program execution skips to a point where the -error condition is handled; the error condition is handled either by -returning control to the caller routine or by calling the -psb\_error routine which prints the content of the error stack -and aborts the program execution, according to the choice made by the -user with psb_set_erraction. The default is to print the error -and terminate the program, but the user may choose to handle the error -explicitly. - -

    - -

    - - - -
    Figure 9: -The layout of a generic psb_foo - routine with respect to PSBLAS-2.0 error handling policy.
    -
    - -
    - -\fbox{\TheSbox} -
    -
    - -

    -Figure 10 reports a sample error message generated by -the PSBLAS-2.0 library. This error has been generated by the fact that -the user has chosen the invalid “FOO” storage format to represent -the sparse matrix. From this error message it is possible to see that -the error has been detected inside the psb_cest subroutine -called by psb_spasb ... by process 0 (i.e. the root process). - -

    - -

    - - - -
    Figure 10: -A sample PSBLAS-2.0 error - message. Process 0 detected an error condition inside the psb_cest subroutine
    -
    - -
    - -\fbox{\TheSbox} -
    -
    - -

    -ifstarsubroutinesubroutinepsb_errpushPushes an error code onto the error - stack - -

    -
    -\begin{lstlisting} -call psb_errpush(err_c, r_name, i_err, a_err) -\end{lstlisting} -
    +

    +call psb_nrm2(icontxt, dat, root)
+

    +This subroutine implements a 2-norm value reduction +operation based on the underlying communication library.

    Type:
    -
    Asynchronous. +
    Synchronous.
    -
    On Entry
    +
    On Entry
    -
    err_c
    -
    the error code +
    icontxt
    +
    the communication context identifying the virtual + parallel machine.
    -Scope: local +Scope: global.
    -Type: required +Type: required.
    Intent: in.
    -Specified as: an integer. +Specified as: an integer variable.
    -
    r_name
    -
    the soutine where the error has been caught. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a string. -
    -
    i_err
    -
    addional info for error code -
    -Scope: local -
    -Type: optional -
    -Specified as: an integer array -
    -
    a_err
    -
    addional info for error code -
    -Scope: local +
    dat
    +
    The local contribution to the global minimum.
    -Type: optional +Scope: local.
    -Specified as: a string. -
    -
    - -

    -ifstarsubroutinesubroutinepsb_errorPrints the error stack content and aborts - execution - -

    +Type: required.
    -\begin{lstlisting} -call psb_error(icontxt) -\end{lstlisting} +Intent: inout.
    - -

    -

    -
    Type:
    -
    Asynchronous. +Specified as: a real variable, which may be a +scalar, or a rank 1 array. Kind, rank and size must agree on all processes.
    -
    On Entry
    -
    -
    -
    icontxt
    -
    the communication context. +
    root
    +
    Process to hold the final value, or $-1$ to make it available + on all processes.
    -Scope: global +Scope: global.
    -Type: optional +Type: optional.
    Intent: in.
    -Specified as: an integer. -
    +Specified as: an integer value +$-1<= root <= np-1$, default -1. +
    -

    -ifstarsubroutinesubroutinepsb_set_errverbositySets the verbosity of error - messages. - -

    -
    -\begin{lstlisting} -call psb_set_errverbosity(v) -\end{lstlisting} -
    -

    -
    Type:
    -
    Asynchronous. -
    -
    On Entry
    +
    On Return
    -
    v
    -
    the verbosity level +
    dat
    +
    On destination process(es), the result of the 2-norm reduction.
    -Scope: global +Scope: global.
    -Type: required +Type: required.
    -Intent: in. +Intent: inout. +
    +Specified as: a real variable, which may be a +scalar, or a rank 1 array.
    -Specified as: an integer. +Kind, rank and size must agree on all processes.

    -ifstarsubroutinesubroutinepsb_set_erractionSet the type of action to be - taken upon error condition. +Notes + +

      +
    1. This reduction is appropriate to compute the results of multiple + (local) NRM2 operations at the same time. +
      2. +
    2. Denoting by $dat_i$ the value of the variable $dat$ on process + $i$, the output $res$ is equivalent to the computation of +

      +
      + -

      -
      \begin{lstlisting} -call psb_set_erraction(err_act) -\end{lstlisting} -
      - -

      -

      -
      Type:
      -
      Asynchronous. -
      -
      On Entry
      -
      -
      -
      err_act
      -
      the type of action. -
      -Scope: global -
      -Type: required -
      -Intent: in. -
      -Specified as: an integer. Possible values: psb_act_ret, -psb_act_abort. -
      -
      + WIDTH="119" HEIGHT="55" BORDER="0" + SRC="img150.png" + ALT="\begin{displaymath}res = \sqrt{\sum_i dat_i^2},\end{displaymath}"> +
      +
      +

      +with care taken to avoid unnecessary overflow. +
      3. +
    3. The dat argument is both input and output, and its + value may be changed even on processes different from the final + result destination. +
      4. +

    - next - + up - previous - contents
    - Next: Utilities - Up: userhtml - Previous: psb_rcv Receive -   Next: psb_snd Send + Up: Parallel environment routines + Previous: psb_amn Global +   Contents
    diff --git a/docs/html/node118.html b/docs/html/node118.html index 9e19b009..43baeea3 100644 --- a/docs/html/node118.html +++ b/docs/html/node118.html @@ -3,8 +3,8 @@ -Utilities - +psb_snd -- Send data + @@ -14,78 +14,177 @@ - + - +
    - next - + up - previous - contents
    - Next: hb_read Read - Up: userhtml - Previous: Error handling -   Next: psb_rcv Receive + Up: Parallel environment routines + Previous: psb_nrm2 Global +   Contents

    -

    - +

    +psb_snd -- Send data +

    + +

    +

    +call psb_snd(icontxt, dat, dst, m)
+
    + +

    +This subroutine sends a packet of data to a destination. +

    +
    Type:
    +
    Synchronous: see usage notes. +
    +
    On Entry
    +
    +
    +
    icontxt
    +
    the communication context identifying the virtual + parallel machine. +
    +Scope: global. +
    +Type: required. +
    +Intent: in. +
    +Specified as: an integer variable. +
    +
    dat
    +
    The data to be sent. +
    +Scope: local. +
    +Type: required. +
    +Intent: in. +
    +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is +not specified, size must agree as well. +
    +
    dst
    +
    Destination process. +
    +Scope: global. +
    +Type: required. +
    +Intent: in. +
    +Specified as: an integer value +$0<= dst <= np-1$. +
    +
    m
    +
    Number of rows.
    -Utilities - +Scope: global. +
    +Type: Optional. +
    +Intent: in. +
    +Specified as: an integer value +$0<= m <= size(dat,1)$. +
    +When $dat$ is a rank 2 array, specifies the number of rows to be sent +independently of the leading dimension $size(dat,1)$; must have the +same value on sending and receiving processes. +
    +

    -We have some utilities available for input and output of -sparse matrices; the interfaces to these routines are available in the -module psb_util_mod. +

    +
    On Return
    +
    +
    +

    -

    - -Subsections +Notes - - -
    +
      +
    1. This subroutine implies a synchronization, but only between the + calling process and the destination process $dst$. +
      2. +
    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: psb_rcv Receive + Up: Parallel environment routines + Previous: psb_nrm2 Global +   Contents
    + diff --git a/docs/html/node119.html b/docs/html/node119.html index 31f1fbaf..2d94be94 100644 --- a/docs/html/node119.html +++ b/docs/html/node119.html @@ -3,8 +3,8 @@ -hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format - +psb_rcv -- Receive data + @@ -14,78 +14,112 @@ - - +
    - next - + up - previous - contents
    - Next: hb_write Write - Up: Utilities - Previous: Utilities -   Next: Error handling + Up: Parallel environment routines + Previous: psb_snd Send +   Contents

    -

    - hb_read -- Read a sparse matrix from a file in the - Harwell-Boeing format +

    +psb_rcv -- Receive data

    -
    -\begin{lstlisting} -call hb_read(a, iret, iunit, filename, b, mtitle) -\end{lstlisting} -
    +

    +call psb_rcv(icontxt, dat, src, m)
+

    +This subroutine receives a packet of data to a destination.

    Type:
    -
    Asynchronous. +
    Synchronous: see usage notes.
    On Entry
    -
    filename
    -
    The name of the file to be read. +
    icontxt
    +
    the communication context identifying the virtual + parallel machine.
    -Type:optional. +Scope: global.
    -Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input -in Unix jargon) is used. Default: -. -
    -
    iunit
    -
    The Fortran file unit number. +Type: required.
    -Type:optional. +Intent: in.
    -Specified as: an integer value. Only meaningful if filename is not -. +Specified as: an integer variable. +
    +
    src
    +
    Source process. +
    +Scope: global. +
    +Type: required. +
    +Intent: in. +
    +Specified as: an integer value +$0<= src <= np-1$. +
    +
    m
    +
    Number of rows. +
    +Scope: global. +
    +Type: Optional. +
    +Intent: in. +
    +Specified as: an integer value +$0<= m <= size(dat,1)$. +
    +When $dat$ is a rank 2 array, specifies the number of rows to be sent +independently of the leading dimension $size(dat,1)$; must have the +same value on sending and receiving processes.
    @@ -94,64 +128,60 @@ Specified as: an integer value. Only meaningful if filename is not -On Return
    -
    a
    -
    the sparse matrix read from file. +
    dat
    +
    The data to be received.
    -Type:required. +Scope: local.
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    b
    -
    Rigth hand side(s). +Type: required.
    -Type: Optional +Intent: inout.
    -An array of type real or complex, rank 2 and having the ALLOCATABLE -attribute; will be allocated and filled in if the input file contains -a right hand side, otherwise will be left in the UNALLOCATED state. -
    -
    mtitle
    -
    Matrix title. -
    -Type: Optional -
    -A charachter variable of length 72 holding a copy of the -matrix title as specified by the Harwell-Boeing format and contained -in the input file. -
    -
    iret
    -
    Error code. -
    -Type: required -
    -An integer value; 0 means no error has been detected. +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is +not specified, size must agree as well.
    +

    +Notes + +

      +
    1. This subroutine implies a synchronization, but only between the + calling process and the source process $src$. +
      2. +
    +

    - next - + up - previous - contents
    - Next: hb_write Write - Up: Utilities - Previous: Utilities -   Next: Error handling + Up: Parallel environment routines + Previous: psb_snd Send +   Contents
    diff --git a/docs/html/node12.html b/docs/html/node12.html index 165f326d..019a46a1 100644 --- a/docs/html/node12.html +++ b/docs/html/node12.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: get_local_cols Get - Up: Up: Descriptor data structure - Previous: Previous: Descriptor Methods -   Contents

    @@ -84,7 +84,7 @@ Scope: local. $|{\cal I}_i| + |{\cal B}_i|$ --> $\vert{\cal I}_i\vert + \vert{\cal B}_i\vert$. The returned value is specific to the calling process. diff --git a/docs/html/node120.html b/docs/html/node120.html index 11e1a5b6..21a186b7 100644 --- a/docs/html/node120.html +++ b/docs/html/node120.html @@ -3,8 +3,8 @@ -hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format - +Error handling + @@ -15,51 +15,143 @@ - - + +
    - next - + up - previous - contents
    - Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read -   Next: Utilities + Up: userhtml + Previous: psb_rcv Receive +   Contents

    -

    -hb_write -- Write a sparse matrix to a file - in the Harwell-Boeing format -

    +

    +Error handling +

    + +

    +The PSBLAS library error handling policy has been completely rewritten +in version 2.0. The idea behind the design of this new error handling +strategy is to keep error messages on a stack allowing the user to +trace back up to the point where the first error message has been +generated. Every routine in the PSBLAS-2.0 library has, as last +non-optional argument, an integer info variable; whenever, +inside the routine, an error is detected, this variable is set to a +value corresponding to a specific error code. Then this error code is +also pushed on the error stack and then either control is returned to +the caller routine or the execution is aborted, depending on the users +choice. At the time when the execution is aborted, an error message is +printed on standard output with a level of verbosity than can be +chosen by the user. If the execution is not aborted, then, the caller +routine checks the value returned in the info variable and, if +not zero, an error condition is raised. This process continues on all the +levels of nested calls until the level where the user decides to abort +the program execution. + +

    +Figure 9 shows the layout of a generic psb_foo +routine with respect to the PSBLAS-2.0 error handling policy. It is +possible to see how, whenever an error condition is detected, the +info variable is set to the corresponding error code which is, +then, pushed on top of the stack by means of the +psb_errpush. An error condition may be directly detected inside +a routine or indirectly checking the error code returned returned by a +called routine. Whenever an error is encountered, after it has been +pushed on stack, the program execution skips to a point where the +error condition is handled; the error condition is handled either by +returning control to the caller routine or by calling the +psb\_error routine which prints the content of the error stack +and aborts the program execution, according to the choice made by the +user with psb_set_erraction. The default is to print the error +and terminate the program, but the user may choose to handle the error +explicitly. + +

    + +

    + + + +
    Figure 9: +The layout of a generic psb_foo + routine with respect to PSBLAS-2.0 error handling policy.
    +
    + +
    + +\fbox{\TheSbox} +
    +
    + +

    +Figure 10 reports a sample error message generated by +the PSBLAS-2.0 library. This error has been generated by the fact that +the user has chosen the invalid “FOO” storage format to represent +the sparse matrix. From this error message it is possible to see that +the error has been detected inside the psb_cest subroutine +called by psb_spasb ... by process 0 (i.e. the root process). + +

    + +

    + + + +
    Figure 10: +A sample PSBLAS-2.0 error + message. Process 0 detected an error condition inside the psb_cest subroutine
    +
    + +
    + +\fbox{\TheSbox} +
    +
    + +

    +ifstarsubroutinesubroutinepsb_errpushPushes an error code onto the error + stack


    \begin{lstlisting} -call hb_write(a, iret, iunit, filename, key, rhs, mtitle) +call psb_errpush(err_c, r_name, i_err, a_err) \end{lstlisting}
    @@ -68,72 +160,154 @@ call hb_write(a, iret, iunit, filename, key, rhs, mtitle)

    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    a
    -
    the sparse matrix to be written. +
    err_c
    +
    the error code
    -Type:required. +Scope: local
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    b
    -
    Rigth hand side. +Type: required
    -Type: Optional +Intent: in.
    -An array of type real or complex, rank 1 and having the ALLOCATABLE -attribute; will be allocated and filled in if the input file contains -a right hand side. +Specified as: an integer.
    -
    filename
    -
    The name of the file to be written to. +
    r_name
    +
    the soutine where the error has been caught. +
    +Scope: local +
    +Type: required
    -Type:optional. +Intent: in.
    -Specified as: a character variable containing a valid file name, or --, in which case the default output unit 6 (i.e. standard output -in Unix jargon) is used. Default: -. +Specified as: a string. +
    +
    i_err
    +
    addional info for error code +
    +Scope: local +
    +Type: optional +
    +Specified as: an integer array +
    +
    a_err
    +
    addional info for error code +
    +Scope: local +
    +Type: optional +
    +Specified as: a string. +
    + + +

    +ifstarsubroutinesubroutinepsb_errorPrints the error stack content and aborts + execution + +

    +
    +\begin{lstlisting} +call psb_error(icontxt) +\end{lstlisting} +
    + +

    +

    +
    Type:
    +
    Asynchronous.
    -
    iunit
    -
    The Fortran file unit number. +
    On Entry
    +
    +
    +
    icontxt
    +
    the communication context. +
    +Scope: global
    -Type:optional. +Type: optional
    -Specified as: an integer value. Only meaningful if filename is not -. +Intent: in. +
    +Specified as: an integer.
    -
    key
    -
    Matrix key. +
    + +

    +ifstarsubroutinesubroutinepsb_set_errverbositySets the verbosity of error + messages. + +


    -Type: Optional +\begin{lstlisting} +call psb_set_errverbosity(v) +\end{lstlisting}
    -A charachter variable of length 8 holding the -matrix key as specified by the Harwell-Boeing format and to be -written to file. + +

    +

    +
    Type:
    +
    Asynchronous.
    -
    mtitle
    -
    Matrix title. +
    On Entry
    +
    +
    +
    v
    +
    the verbosity level +
    +Scope: global
    -Type: Optional +Type: required
    -A charachter variable of length 72 holding the -matrix title as specified by the Harwell-Boeing format and to be -written to file. +Intent: in. +
    +Specified as: an integer.
    +

    +ifstarsubroutinesubroutinepsb_set_erractionSet the type of action to be + taken upon error condition. + +

    +
    +\begin{lstlisting} +call psb_set_erraction(err_act) +\end{lstlisting} +
    +

    -
    On Return
    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    -
    iret
    -
    Error code. +
    err_act
    +
    the type of action. +
    +Scope: global +
    +Type: required
    -Type: required +Intent: in.
    -An integer value; 0 means no error has been detected. +Specified as: an integer. Possible values: psb_act_ret, +psb_act_abort.
    @@ -141,26 +315,26 @@ An integer value; 0 means no error has been detected.
    - next - + up - previous - contents
    - Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read -   Next: Utilities + Up: userhtml + Previous: psb_rcv Receive +   Contents
    diff --git a/docs/html/node121.html b/docs/html/node121.html index 2854dbbe..384e43c7 100644 --- a/docs/html/node121.html +++ b/docs/html/node121.html @@ -3,8 +3,8 @@ -mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format - +Utilities + @@ -14,103 +14,77 @@ - + - +
    - next - + up - previous - contents
    - Next: mm_array_read Read - Up: Utilities - Previous: hb_write Write -   Next: hb_read Read + Up: userhtml + Previous: Error handling +   Contents

    -

    -mm_mat_read -- Read a sparse matrix from a - file in the MatrixMarket format -

    - -

    -
    -\begin{lstlisting} -call mm_mat_read(a, iret, iunit, filename) -\end{lstlisting} +

    +
    +Utilities +

    -

    -
    Type:
    -
    Asynchronous. -
    -
    On Entry
    -
    -
    -
    filename
    -
    The name of the file to be read. -
    -Type:optional. -
    -Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input -in Unix jargon) is used. Default: -. -
    -
    iunit
    -
    The Fortran file unit number. -
    -Type:optional. -
    -Specified as: an integer value. Only meaningful if filename is not -. -
    -
    +We have some utilities available for input and output of +sparse matrices; the interfaces to these routines are available in the +module psb_util_mod.

    -

    -
    On Return
    -
    -
    -
    a
    -
    the sparse matrix read from file. -
    -Type:required. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    iret
    -
    Error code. -
    -Type: required -
    -An integer value; 0 means no error has been detected. -
    -
    +
    + +Subsections -

    +

    +
    diff --git a/docs/html/node122.html b/docs/html/node122.html index 5a57cd34..b3438b33 100644 --- a/docs/html/node122.html +++ b/docs/html/node122.html @@ -3,8 +3,8 @@ -mm_array_read -- Read a dense array from a file in the MatrixMarket format - +hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format + @@ -16,50 +16,50 @@ - +
    - next - + up - previous - contents
    - Next: mm_mat_write Write - Up: Utilities - Previous: mm_mat_read Read -   Next: hb_write Write + Up: Utilities + Previous: Utilities +   Contents

    -

    -mm_array_read -- Read a dense array from a - file in the MatrixMarket format +

    + hb_read -- Read a sparse matrix from a file in the + Harwell-Boeing format


    \begin{lstlisting} -call mm_array_read(b, iret, iunit, filename) +call hb_read(a, iret, iunit, filename, b, mtitle) \end{lstlisting}
    @@ -94,15 +94,31 @@ Specified as: an integer value. Only meaningful if filename is not -On Return

    +
    a
    +
    the sparse matrix read from file. +
    +Type:required. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    b
    Rigth hand side(s).
    -Type: required +Type: Optional
    -An array of type real or complex, rank 1 or 2 and having the ALLOCATABLE +An array of type real or complex, rank 2 and having the ALLOCATABLE attribute; will be allocated and filled in if the input file contains a right hand side, otherwise will be left in the UNALLOCATED state.
    +
    mtitle
    +
    Matrix title. +
    +Type: Optional +
    +A charachter variable of length 72 holding a copy of the +matrix title as specified by the Harwell-Boeing format and contained +in the input file. +
    iret
    Error code.
    @@ -113,7 +129,31 @@ An integer value; 0 means no error has been detected.

    -

    + +
    + + +next + +up + +previous + +contents +
    + Next: hb_write Write + Up: Utilities + Previous: Utilities +   Contents
    + diff --git a/docs/html/node123.html b/docs/html/node123.html index 4dd5f34e..f8e65c33 100644 --- a/docs/html/node123.html +++ b/docs/html/node123.html @@ -3,8 +3,8 @@ -mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format - +hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format + @@ -16,52 +16,54 @@ - +
    - next - + up - previous - contents
    - Next: mm_array_write Write - Up: Utilities - Previous: mm_array_read Read -   Next: mm_mat_read Read + Up: Utilities + Previous: hb_read Read +   Contents

    -

    -mm_mat_write -- Write a sparse matrix to a - file in the MatrixMarket format +

    +hb_write -- Write a sparse matrix to a file + in the Harwell-Boeing format


    \begin{lstlisting} -call mm_mat_write(a, mtitle, iret, iunit, filename) +call hb_write(a, iret, iunit, filename, key, rhs, mtitle) \end{lstlisting}
    + +

    Type:
    Asynchronous. @@ -76,13 +78,14 @@ Type:required.
    Specified as: a structured data of type spdatapsb_Tspmat_type.
    -
    mtitle
    -
    Matrix title. +
    b
    +
    Rigth hand side.
    -Type: required +Type: Optional
    -A charachter variable holding a descriptive title for the matrix to be - written to file. +An array of type real or complex, rank 1 and having the ALLOCATABLE +attribute; will be allocated and filled in if the input file contains +a right hand side.
    filename
    The name of the file to be written to. @@ -100,6 +103,24 @@ Type:optional.
    Specified as: an integer value. Only meaningful if filename is not -.
    +
    key
    +
    Matrix key. +
    +Type: Optional +
    +A charachter variable of length 8 holding the +matrix key as specified by the Harwell-Boeing format and to be +written to file. +
    +
    mtitle
    +
    Matrix title. +
    +Type: Optional +
    +A charachter variable of length 72 holding the +matrix title as specified by the Harwell-Boeing format and to be +written to file. +

    @@ -117,7 +138,31 @@ An integer value; 0 means no error has been detected.

    -

    + +
    + + +next + +up + +previous + +contents +
    + Next: mm_mat_read Read + Up: Utilities + Previous: hb_read Read +   Contents
    + diff --git a/docs/html/node124.html b/docs/html/node124.html index e7e3f85f..f1307a9d 100644 --- a/docs/html/node124.html +++ b/docs/html/node124.html @@ -3,8 +3,8 @@ -mm_array_write -- Write a dense array from a file in the MatrixMarket format - +mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format + @@ -14,51 +14,52 @@ + - +
    - next - + up - previous - contents
    - Next: Preconditioner routines - Up: Utilities - Previous: mm_mat_write Write -   Next: mm_array_read Read + Up: Utilities + Previous: hb_write Write +   Contents

    -

    -mm_array_write -- Write a dense array from a +

    +mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format


    \begin{lstlisting} -call mm_array_write(b, iret, iunit, filename) +call mm_mat_read(a, iret, iunit, filename) \end{lstlisting}
    @@ -70,14 +71,8 @@ call mm_array_write(b, iret, iunit, filename)

    On Entry
    -
    b
    -
    Rigth hand side(s). -
    -Type: required -
    -An array of type real or complex, rank 1 or 2; will be written..
    filename
    -
    The name of the file to be written. +
    The name of the file to be read.
    Type:optional.
    @@ -99,6 +94,13 @@ Specified as: an integer value. Only meaningful if filename is not -On Return
    +
    a
    +
    the sparse matrix read from file. +
    +Type:required. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    iret
    Error code.
    diff --git a/docs/html/node125.html b/docs/html/node125.html index 0b67b710..07ecfc91 100644 --- a/docs/html/node125.html +++ b/docs/html/node125.html @@ -3,8 +3,8 @@ -Preconditioner routines - +mm_array_read -- Read a dense array from a file in the MatrixMarket format + @@ -14,84 +14,105 @@ - - - + + +
    - next - + up - previous - contents
    - Next: init Initialize - Up: userhtml - Previous: mm_array_write Write -   Next: mm_mat_write Write + Up: Utilities + Previous: mm_mat_read Read +   Contents

    -

    - -
    -Preconditioner routines -

    +

    +mm_array_read -- Read a dense array from a + file in the MatrixMarket format +

    -The base PSBLAS library contains the implementation of two simple -preconditioning techniques: +
    +\begin{lstlisting} +call mm_array_read(b, iret, iunit, filename) +\end{lstlisting} +
    -

      -
    • Diagonal Scaling -
      • -
    • Block Jacobi with ILU(0) factorization -
      • -
    -The supporting data type and subroutine interfaces are defined in the -module psb_prec_mod. -The old interfaces psb_precinit and psb_precbld are still supported for -backward compatibility +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    filename
    +
    The name of the file to be read. +
    +Type:optional. +
    +Specified as: a character variable containing a valid file name, or +-, in which case the default input unit 5 (i.e. standard input +in Unix jargon) is used. Default: -. +
    +
    iunit
    +
    The Fortran file unit number. +
    +Type:optional. +
    +Specified as: an integer value. Only meaningful if filename is not -. +
    +

    -

    - -Subsections +
    +
    On Return
    +
    +
    +
    b
    +
    Rigth hand side(s). +
    +Type: required +
    +An array of type real or complex, rank 1 or 2 and having the ALLOCATABLE +attribute; will be allocated and filled in if the input file contains +a right hand side, otherwise will be left in the UNALLOCATED state. +
    +
    iret
    +
    Error code. +
    +Type: required +
    +An integer value; 0 means no error has been detected. +
    +
    - - +


    diff --git a/docs/html/node126.html b/docs/html/node126.html index aa0d47e7..6f5c409c 100644 --- a/docs/html/node126.html +++ b/docs/html/node126.html @@ -3,8 +3,8 @@ -init -- Initialize a preconditioner - +mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format + @@ -16,130 +16,103 @@ - +
    - next - + up - previous - contents
    - Next: build Builds - Up: Preconditioner routines - Previous: Preconditioner routines -   Next: mm_array_write Write + Up: Utilities + Previous: mm_array_read Read +   Contents

    -

    -init -- Initialize a preconditioner +

    +mm_mat_write -- Write a sparse matrix to a + file in the MatrixMarket format

    -

    -call prec%init(icontxt,ptype, info)
-
    - -

    +
    +\begin{lstlisting} +call mm_mat_write(a, mtitle, iret, iunit, filename) +\end{lstlisting} +

    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    icontxt
    -
    the communication context. -
    -Scope:global. +
    a
    +
    the sparse matrix to be written.
    Type:required.
    -Intent: in. -
    -Specified as: an integer value. +Specified as: a structured data of type spdatapsb_Tspmat_type.
    -
    ptype
    -
    the type of preconditioner. -Scope: global +
    mtitle
    +
    Matrix title.
    -Type: required +Type: required
    -Intent: in. -
    -Specified as: a character string, see usage notes. -
    -
    On Exit
    -

    +A charachter variable holding a descriptive title for the matrix to be + written to file.

    -
    prec
    -
    Scope: local +
    filename
    +
    The name of the file to be written to.
    -Type: required +Type:optional.
    -Intent: inout. -
    -Specified as: a preconditioner data structure precdatapsb_prec_type. +Specified as: a character variable containing a valid file name, or +-, in which case the default output unit 6 (i.e. standard output +in Unix jargon) is used. Default: -.
    -
    info
    -
    Scope: global -
    -Type: required +
    iunit
    +
    The Fortran file unit number.
    -Intent: out. +Type:optional.
    -Error code: if no error, 0 is returned. +Specified as: an integer value. Only meaningful if filename is not -.
    -Notes -Legal inputs to this subroutine are interpreted depending on the -$ptype$ string as follows4: + +

    -
    NONE
    -
    No preconditioning, i.e. the preconditioner is just a copy - operator. -
    -
    DIAG
    -
    Diagonal scaling; each entry of the input vector is - multiplied by the reciprocal of the sum of the absolute values of - the coefficients in the corresponding row of matrix $A$; +
    On Return
    +
    -
    BJAC
    -
    Precondition by a factorization of the - block-diagonal of matrix $A$, where block boundaries are determined - by the data allocation boundaries for each process; requires no - communication. Only the incomplete factorization $ILU(0)$ is - currently implemented. +
    iret
    +
    Error code. +
    +Type: required +
    +An integer value; 0 means no error has been detected.
    diff --git a/docs/html/node127.html b/docs/html/node127.html index e6a55901..2f598cdf 100644 --- a/docs/html/node127.html +++ b/docs/html/node127.html @@ -3,8 +3,8 @@ -build -- Builds a preconditioner - +mm_array_write -- Write a dense array from a file in the MatrixMarket format + @@ -14,120 +14,83 @@ - - +
    - next - + up - previous - contents
    - Next: apply Preconditioner - Up: Preconditioner routines - Previous: init Initialize -   Next: Preconditioner routines + Up: Utilities + Previous: mm_mat_write Write +   Contents

    -

    -build -- Builds a preconditioner +

    +mm_array_write -- Write a dense array from a + file in the MatrixMarket format

    -

    -call prec%build(a, desc_a, info[,amold,vmold,imold])
-
    +
    +\begin{lstlisting} +call mm_array_write(b, iret, iunit, filename) +\end{lstlisting} +

    Type:
    -
    Synchronous. +
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    a
    -
    the system sparse matrix. -Scope: local -
    -Type: required -
    -Intent: in, target. -
    -Specified as: a sparse matrix data structure spdatapsb_Tspmat_type. -
    -
    prec
    -
    the preconditioner. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: an already initialized precondtioner data structure precdatapsb_prec_type -
    -
    desc_a
    -
    the problem communication descriptor. -Scope: local -
    -Type: required -
    -Intent: in, target. -
    -Specified as: a communication descriptor data structure descdatapsb_desc_type. -
    -
    amold
    -
    The desired dynamic type for the internal matrix storage. -
    -Scope: local. -
    -Type: optional. -
    -Intent: in. -
    -Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. -
    -
    vmold
    -
    The desired dynamic type for the internal vector storage. +
    b
    +
    Rigth hand side(s).
    -Scope: local. +Type: required
    -Type: optional. +An array of type real or complex, rank 1 or 2; will be written..
    +
    filename
    +
    The name of the file to be written.
    -Intent: in. +Type:optional.
    -Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. +Specified as: a character variable containing a valid file name, or +-, in which case the default input unit 5 (i.e. standard input +in Unix jargon) is used. Default: -.
    -
    imold
    -
    The desired dynamic type for the internal integer vector storage. -
    -Scope: local. -
    -Type: optional. +
    iunit
    +
    The Fortran file unit number.
    -Intent: in. +Type:optional.
    -Specified as: an object of a class derived from (integer) vbasedatapsb_T_base_vect_type. +Specified as: an integer value. Only meaningful if filename is not -.
    @@ -136,59 +99,17 @@ Specified as: an object of a class derived from (integer) vbasedatapsb_T_bas
    On Return
    -
    prec
    -
    the preconditioner. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a precondtioner data structure precdatapsb_prec_type -
    -
    info
    +
    iret
    Error code.
    -Scope: local -
    Type: required
    -Intent: out. -
    An integer value; 0 means no error has been detected.
    -The amold, vmold and imold arguments may be -employed to interface with special devices, such as GPUs and other -accelerators.

    - -

    - - -next - -up - -previous - -contents -
    - Next: apply Preconditioner - Up: Preconditioner routines - Previous: init Initialize -   Contents
    - +
    diff --git a/docs/html/node128.html b/docs/html/node128.html index d6071c08..06233ef9 100644 --- a/docs/html/node128.html +++ b/docs/html/node128.html @@ -3,8 +3,8 @@ -apply -- Preconditioner application routine - +Preconditioner routines + @@ -14,139 +14,84 @@ - - - + + +
    - next - + up - previous - contents
    - Next: descr Prints - Up: Preconditioner routines - Previous: build Builds -   Next: init Initialize + Up: userhtml + Previous: mm_array_write Write +   Contents

    -

    -apply -- Preconditioner application - routine -

    +

    + +
    +Preconditioner routines +

    -

    -call prec%apply(x,y,desc_a,info,trans,work)
-call prec%apply(x,desc_a,info,trans)
-
    +The base PSBLAS library contains the implementation of two simple +preconditioning techniques: -

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    prec
    -
    the preconditioner. -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a preconditioner data structure precdatapsb_prec_type. -
    -
    x
    -
    the source vector. -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    -
    desc_a
    -
    the problem communication descriptor. -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a communication data structure descdatapsb_desc_type. -
    -
    trans
    -
    Scope: -
    -Type: optional -
    -Intent: in. -
    -Specified as: a character. -
    -
    work
    -
    an optional work space -Scope: local -
    -Type: optional -
    -Intent: inout. -
    -Specified as: a double precision array. -
    -
    +
      +
    • Diagonal Scaling +
      • +
    • Block Jacobi with ILU(0) factorization +
      • +
    +The supporting data type and subroutine interfaces are defined in the +module psb_prec_mod. +The old interfaces psb_precinit and psb_precbld are still supported for +backward compatibility

    -

    -
    On Return
    -
    -
    -
    y
    -
    the destination vector. -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    +
    + +Subsections -

    +

    +
    diff --git a/docs/html/node129.html b/docs/html/node129.html index de6f38ea..0ff25da7 100644 --- a/docs/html/node129.html +++ b/docs/html/node129.html @@ -3,8 +3,8 @@ -descr -- Prints a description of current preconditioner - +init -- Initialize a preconditioner + @@ -16,47 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: clone clone - Up: Preconditioner routines - Previous: apply Preconditioner -   Next: build Builds + Up: Preconditioner routines + Previous: Preconditioner routines +   Contents

    -

    -descr -- Prints a description of current - preconditioner +

    +init -- Initialize a preconditioner 

    -call prec%descr()
-call prec%descr(iout, root)
+call prec%init(icontxt,ptype, info)

    @@ -67,43 +65,81 @@ call prec%descr(iout, root)

    On Entry
    -
    prec
    -
    the preconditioner. -Scope: local +
    icontxt
    +
    the communication context.
    -Type: required +Scope:global. +
    +Type:required.
    Intent: in.
    -Specified as: a preconditioner data structure precdatapsb_prec_type. +Specified as: an integer value.
    -
    iout
    -
    output unit. -Scope: local +
    ptype
    +
    the type of preconditioner. +Scope: global
    -Type: optional +Type: required
    Intent: in.
    -Specified as: an integer number. Default: default output unit. +Specified as: a character string, see usage notes.
    -
    root
    -
    Process from which to print -Scope: local +
    On Exit
    +

    +

    +
    prec
    +
    Scope: local
    -Type: optional +Type: required
    -Intent: in. +Intent: inout.
    -Specified as: an integer number between 0 and $np-1$, in which case -the specified process will print the description, or $-1$, in which case -all processes will print. Default: 0. +Specified as: a preconditioner data structure precdatapsb_prec_type. +
    +
    info
    +
    Scope: global +
    +Type: required +
    +Intent: out. +
    +Error code: if no error, 0 is returned. +
    + +Notes +Legal inputs to this subroutine are interpreted depending on the +$ptype$ string as follows4: +
    +
    NONE
    +
    No preconditioning, i.e. the preconditioner is just a copy + operator. +
    +
    DIAG
    +
    Diagonal scaling; each entry of the input vector is + multiplied by the reciprocal of the sum of the absolute values of + the coefficients in the corresponding row of matrix $A$; +
    +
    BJAC
    +
    Precondition by a factorization of the + block-diagonal of matrix $A$, where block boundaries are determined + by the data allocation boundaries for each process; requires no + communication. Only the incomplete factorization $ILU(0)$ is + currently implemented.
    diff --git a/docs/html/node13.html b/docs/html/node13.html index 0fdc4242..bbbcaa1b 100644 --- a/docs/html/node13.html +++ b/docs/html/node13.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: get_global_rows Get - Up: Up: Descriptor data structure - Previous: Previous: get_local_rows Get -   Contents

    @@ -85,7 +85,7 @@ Scope: local. $|{\cal I}_i| + |{\cal B}_i| +|{\cal H}_i|$ --> $\vert{\cal I}_i\vert + \vert{\cal B}_i\vert +\vert{\cal H}_i\vert$. The returned value is specific to the calling process. diff --git a/docs/html/node130.html b/docs/html/node130.html index 8cad168c..532b6c53 100644 --- a/docs/html/node130.html +++ b/docs/html/node130.html @@ -3,8 +3,8 @@ -clone -- clone current preconditioner - +build -- Builds a preconditioner + @@ -16,60 +16,119 @@ - +
    - next - + up - previous - contents
    - Next: free Free - Up: Preconditioner routines - Previous: descr Prints -   Next: apply Preconditioner + Up: Preconditioner routines + Previous: init Initialize +   Contents

    -

    -clone -- clone current - preconditioner +

    +build -- Builds a preconditioner

    +

    -call  prec%clone(precout,info)
+call prec%build(a, desc_a, info[,amold,vmold,imold])

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    +
    a
    +
    the system sparse matrix. +Scope: local +
    +Type: required +
    +Intent: in, target. +
    +Specified as: a sparse matrix data structure spdatapsb_Tspmat_type. +
    prec
    the preconditioner.
    -Scope: local. +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: an already initialized precondtioner data structure precdatapsb_prec_type
    +
    desc_a
    +
    the problem communication descriptor. +Scope: local +
    +Type: required +
    +Intent: in, target. +
    +Specified as: a communication descriptor data structure descdatapsb_desc_type. +
    +
    amold
    +
    The desired dynamic type for the internal matrix storage. +
    +Scope: local. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. +
    +
    vmold
    +
    The desired dynamic type for the internal vector storage. +
    +Scope: local. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. +
    +
    imold
    +
    The desired dynamic type for the internal integer vector storage. +
    +Scope: local. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an object of a class derived from (integer) vbasedatapsb_T_base_vect_type. +

    @@ -77,16 +136,59 @@ Scope: local.

    On Return
    -
    precout
    -
    A copy of the input object. -
    +
    prec
    +
    the preconditioner. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a precondtioner data structure precdatapsb_prec_type +
    info
    -
    Return code. +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected.
    +The amold, vmold and imold arguments may be +employed to interface with special devices, such as GPUs and other +accelerators.

    -

    + +
    + + +next + +up + +previous + +contents +
    + Next: apply Preconditioner + Up: Preconditioner routines + Previous: init Initialize +   Contents
    + diff --git a/docs/html/node131.html b/docs/html/node131.html index 2c00d6de..289b69ab 100644 --- a/docs/html/node131.html +++ b/docs/html/node131.html @@ -3,8 +3,8 @@ -free -- Free a preconditioner - +apply -- Preconditioner application routine + @@ -14,91 +14,137 @@ + - +
    - next - + up - previous - contents
    - Next: Iterative Methods - Up: Preconditioner routines - Previous: clone clone -   Next: descr Prints + Up: Preconditioner routines + Previous: build Builds +   Contents

    -

    -free -- Free a preconditioner +

    +apply -- Preconditioner application + routine 

    -call prec%free(info)
+call prec%apply(x,y,desc_a,info,trans,work)
+call prec%apply(x,desc_a,info,trans)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    prec
    the preconditioner. +Scope: local +
    +Type: required +
    +Intent: in.
    -Scope: local. +Specified as: a preconditioner data structure precdatapsb_prec_type. +
    +
    x
    +
    the source vector. +Scope: local
    Type: required
    Intent: inout.
    -Specified as: a preconditioner data structure precdatapsb_prec_type. +Specified as: a rank one array or an object of type vdatapsb_T_vect_type.
    -
    On Exit
    -

    +

    desc_a
    +
    the problem communication descriptor. +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a communication data structure descdatapsb_desc_type.
    -
    prec
    -
    Scope: local +
    trans
    +
    Scope: +
    +Type: optional +
    +Intent: in. +
    +Specified as: a character. +
    +
    work
    +
    an optional work space +Scope: local +
    +Type: optional +
    +Intent: inout. +
    +Specified as: a double precision array. +
    +
    + +

    +

    +
    On Return
    +
    +
    +
    y
    +
    the destination vector. +Scope: local
    Type: required
    Intent: inout.
    -Specified as: a preconditioner data structure precdatapsb_prec_type. +Specified as: a rank one array or an object of type vdatapsb_T_vect_type.
    info
    -
    Scope: global +
    Error code.
    -Type: required +Scope: local +
    +Type: required
    Intent: out.
    -Error code: if no error, 0 is returned. +An integer value; 0 means no error has been detected.
    -Notes -Releases all internal storage.


    diff --git a/docs/html/node132.html b/docs/html/node132.html index 9c42bbe2..6244d986 100644 --- a/docs/html/node132.html +++ b/docs/html/node132.html @@ -3,8 +3,8 @@ -Iterative Methods - +descr -- Prints a description of current preconditioner + @@ -14,62 +14,100 @@ - - - + + +
    - next - + up - previous - contents
    - Next: psb_krylov Krylov - Up: userhtml - Previous: free Free -   Next: clone clone + Up: Preconditioner routines + Previous: apply Preconditioner +   Contents

    -

    - -
    -Iterative Methods -

    +

    +descr -- Prints a description of current + preconditioner +

    -In this chapter we provide routines for preconditioners and iterative -methods. The interfaces for Krylov subspace methods are available in -the module psb_krylov_mod. +

    +call prec%descr()
+call prec%descr(iout, root)
+

    -

    - -Subsections +
    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    prec
    +
    the preconditioner. +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a preconditioner data structure precdatapsb_prec_type. +
    +
    iout
    +
    output unit. +Scope: local +
    +Type: optional +
    +Intent: in. +
    +Specified as: an integer number. Default: default output unit. +
    +
    root
    +
    Process from which to print +Scope: local +
    +Type: optional +
    +Intent: in. +
    +Specified as: an integer number between 0 and $np-1$, in which case +the specified process will print the description, or $-1$, in which case +all processes will print. Default: 0. +
    +
    - - +


    diff --git a/docs/html/node133.html b/docs/html/node133.html index ba43c36f..fadd4e4b 100644 --- a/docs/html/node133.html +++ b/docs/html/node133.html @@ -3,8 +3,8 @@ -psb_krylov -- Krylov Methods Driver Routine - +clone -- clone current preconditioner + @@ -14,427 +14,79 @@ + - +
    - next - + up - previous - contents
    - Next: Bibliography - Up: Iterative Methods - Previous: Iterative Methods -   Next: free Free + Up: Preconditioner routines + Previous: descr Prints +   Contents

    -

    -
    -psb_krylov -- Krylov Methods Driver - Routine +

    +clone -- clone current + preconditioner

    -

    -This subroutine is a driver that provides a general interface for all -the Krylov-Subspace family methods implemented in PSBLAS version 2. - -

    -The stopping criterion can take the following values: -

    -
    1
    -
    normwise backward error in the infinity -norm; the iteration is stopped when -

    -
    - - -\begin{displaymath}err = \frac{\Vert r_i\Vert}{(\Vert A\Vert\Vert x_i\Vert+\Vert b\Vert)} < eps \end{displaymath} -
    -
    -

    -
    -
    2
    -
    Relative residual in the 2-norm; the iteration is stopped -when -

    -
    - - -\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert b\Vert _2} < eps \end{displaymath} -
    -
    -

    -
    -
    3
    -
    Relative residual reduction in the 2-norm; the iteration is stopped -when -

    -
    - - -\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert r_0\Vert _2} < eps \end{displaymath} -
    -
    -

    -
    -
    -The behaviour is controlled by the istop argument (see -later). In the above formulae, $x_i$ is the tentative solution and -$r_i=b-Ax_i$ the corresponding residual at the $i$-th iteration. - -

    -
    -\begin{lstlisting} -call psb_krylov(method,a,prec,b,x,eps,desc_a,info,& -& itmax,iter,err,itrace,irst,istop,cond) -\end{lstlisting} -
    +

    +call  prec%clone(precout,info)
+

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    method
    -
    a string that defines the iterative method to be - used. Supported values are: -
    -
    CG:
    -
    the Conjugate Gradient method; - -
    -
    CGS:
    -
    the Conjugate Gradient Stabilized method; - -

    -

    -
    GCR:
    -
    the Generalized Conjugate Residual method; - -
    -
    FCG:
    -
    the Flexible Conjugate Gradient method5; - -

    -

    -
    BICG:
    -
    the Bi-Conjugate Gradient method; - -
    -
    BICGSTAB:
    -
    the Bi-Conjugate Gradient Stabilized method; - -
    -
    BICGSTABL:
    -
    the Bi-Conjugate Gradient Stabilized method with restarting; - -
    -
    RGMRES:
    -
    the Generalized Minimal Residual method with restarting. - -
    -
    -
    -
    a
    -
    the local portion of global sparse matrix -$A$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    prec
    -
    The data structure containing the preconditioner. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type precdatapsb_prec_type. -
    -
    b
    -
    The RHS vector. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    -
    x
    -
    The initial guess. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    -
    eps
    -
    The stopping tolerance. -
    -Scope: global -
    -Type: required -
    -Intent: in. -
    -Specified as: a real number. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    itmax
    -
    The maximum number of iterations to perform. +
    the preconditioner.
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Default: $itmax = 1000$. -
    -Specified as: an integer variable $itmax \ge 1$. -
    -
    itrace
    -
    If $>0$ print out an informational message about - convergence every $itrace$ iterations. If $=0$ print a message in - case of convergence failure. -
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Default: $itrace = -1$. +Scope: local.
    -
    irst
    -
    An integer specifying the restart parameter. -
    -Scope: global -
    -Type: optional. -
    -Intent: in. -
    -Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES -methods, otherwise it is ignored. +

    -

    -
    istop
    -
    An integer specifying the stopping criterion. -
    -Scope: global -
    -Type: optional. -
    -Intent: in. -
    -Values: 1: use the normwise backward error, 2: use the scaled 2-norm -of the residual, 3: use the residual reduction in the 2-norm. Default: 2. -
    +
    On Return
    -
    x
    -
    The computed solution. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    -
    iter
    -
    The number of iterations performed. -
    -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Returned as: an integer variable. -
    -
    err
    -
    The convergence estimate on exit. -
    -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Returned as: a real number. -
    -
    cond
    -
    An estimate of the condition number of matrix $A$; only - available with the $CG$ method on real data. -
    -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Returned as: a real number. A correct result will be greater than or -equal to one; if specified for non-real data, or an error occurred, -zero is returned. +
    precout
    +
    A copy of the input object.
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +
    Return code.

    - -

    - -

    - -

    - -

    - - -next - -up - -previous - -contents -
    - Next: Bibliography - Up: Iterative Methods - Previous: Iterative Methods -   Contents
    - +
    diff --git a/docs/html/node134.html b/docs/html/node134.html index fa6197a5..c98f860c 100644 --- a/docs/html/node134.html +++ b/docs/html/node134.html @@ -3,8 +3,8 @@ -Bibliography - +free -- Free a preconditioner + @@ -14,164 +14,91 @@ - - - + +
    - next - + up - previous - contents
    - Next: About this document ... - Up: userhtml - Previous: psb_krylov Krylov -   Next: Iterative Methods + Up: Preconditioner routines + Previous: clone clone +   Contents -

    +
    +
    - -

    -Bibliography -

    1 -
    - D. Barbieri, V. Cardellini, S. Filippone and D. Rouson -Design Patterns for Scientific Computations on Sparse Matrices, - HPSS 2011, Algorithms and Programming Tools for Next-Generation High-Performance Scientific Software, Bordeaux, Sep. 2011 + +

    +free -- Free a preconditioner +

    -

    2 -
    -G. Bella, S. Filippone, A. De Maio and M. Testa, -A Simulation Model for Forest Fires, -in J. Dongarra, K. Madsen, J. Wasniewski, editors, -Proceedings of PARA 04 Workshop on State of the Art -in Scientific Computing, pp. 546-553, Lecture Notes in Computer Science, -Springer, 2005. -

    3 -
    A. Buttari, D. di Serafino, P. D'Ambra, S. Filippone,
    -2LEV-D2P4: a package of high-performance preconditioners,
    -Applicable Algebra in Engineering, Communications and Computing, -Volume 18, Number 3, May, 2007, pp. 223-239 -

    4 -
    P. D'Ambra, S. Filippone, D. Di Serafino
    -On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners -
    -Applied Numerical Mathematics, Elsevier Science, -Volume 57, Issues 11-12, November-December 2007, Pages 1181-1196. +
    +call prec%free(info)
+

    -

    5 -
    - Dongarra, J. J., DuCroz, J., Hammarling, S. and Hanson, R., -An Extended Set of Fortran Basic Linear Algebra Subprograms, -ACM Trans. Math. Softw. vol. 14, 1-17, 1988. -

    6 -
    - Dongarra, J., DuCroz, J., Hammarling, S. and Duff, I., -A Set of level 3 Basic Linear Algebra Subprograms, -ACM Trans. Math. Softw. vol. 16, 1-17, 1990. -

    7 -
    -J. J. Dongarra and R. C. Whaley, -A User's Guide to the BLACS v. 1.1, -Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of -Tennessee, March 1995 (updated May 1997). -

    8 -
    -I. Duff, M. Marrone, G. Radicati and C. Vittoli, -Level 3 Basic Linear Algebra Subprograms for Sparse Matrices: -a User Level Interface, -ACM Transactions on Mathematical Software, 23(3), pp. 379-401, 1997. -

    9 -
    -I. Duff, M. Heroux and R. Pozo, -An Overview of the Sparse Basic Linear -Algebra Subprograms: the New Standard from the BLAS Technical Forum, -ACM Transactions on Mathematical Software, 28(2), pp. 239-267, 2002. -

    10 -
    -S. Filippone and M. Colajanni, -PSBLAS: A Library for Parallel Linear Algebra -Computation on Sparse Matrices, +
    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    prec
    +
    the preconditioner.
    -ACM Transactions on Mathematical Software, 26(4), pp. 527-550, 2000. -

    11 -
    -S. Filippone and A. Buttari, -Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003, +Scope: local.
    -ACM Transactions on Mathematical Software, 38(4), 2012. -

    12 -
    -S. Filippone, P. D'Ambra, M. Colajanni, -Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics -Applications Code on Linux Clusters, -in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, -Parallel Computing - Advances & Current Issues, -pp. 441-448, Imperial College Press, 2002. -

    13 -
    - Gamma, E., Helm, R., Johnson, R., and Vlissides, - J. 1995. - Design Patterns: Elements of Reusable Object-Oriented Software. - Addison-Wesley. - -

    -

    14 -
    -Karypis, G. and Kumar, V., -METIS: Unstructured Graph Partitioning and Sparse Matrix - Ordering System. -Minneapolis, MN 55455: University of Minnesota, Department of - Computer Science, 1995. -Internet Address: http://www.cs.umn.edu/~karypis. -

    15 -
    -Lawson, C., Hanson, R., Kincaid, D. and Krogh, F., - Basic Linear Algebra Subprograms for Fortran usage, -ACM Trans. Math. Softw. vol. 5, 38-329, 1979. - -

    -

    16 -
    -Machiels, L. and Deville, M. -Fortran 90: An entry to object-oriented programming for the solution - of partial differential equations. -ACM Trans. Math. Softw. vol. 23, 32-49. -

    17 -
    -Metcalf, M., Reid, J. and Cohen, M. -Fortran 95/2003 explained. -Oxford University Press, 2004. -

    18 -
    -Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The - Object-Oriented Way. Cambridge University Press (2011) - -

    -

    19 -
    -M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra, -MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, -MIT Press, 1998. +Type: required +
    +Intent: inout. +
    +Specified as: a preconditioner data structure precdatapsb_prec_type. +
    +
    On Exit
    +

    +

    +
    prec
    +
    Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a preconditioner data structure precdatapsb_prec_type. +
    +
    info
    +
    Scope: global +
    +Type: required +
    +Intent: out. +
    +Error code: if no error, 0 is returned. +
    +Notes +Releases all internal storage.


    diff --git a/docs/html/node135.html b/docs/html/node135.html index 29fee5d5..9dda9479 100644 --- a/docs/html/node135.html +++ b/docs/html/node135.html @@ -3,8 +3,8 @@ -About this document ... - +Iterative Methods + @@ -14,53 +14,62 @@ - + + +
    -next - +next + up - previous - contents
    - Up: Next: psb_krylov Krylov + Up: userhtml - Previous: Bibliography -   Previous: free Free +   Contents

    -

    -About this document ... -

    -

    -This document was generated using the -LaTeX2HTML translator Version 2018 (Released Feb 1, 2018) -

    -Copyright © 1993, 1994, 1995, 1996, -Nikos Drakos, -Computer Based Learning Unit, University of Leeds. +

    +
    -Copyright © 1997, 1998, 1999, -Ross Moore, -Mathematics Department, Macquarie University, Sydney. +Iterative Methods +

    +

    -The command line arguments were:
    - latex2html -local_icons -noaddress -dir ../../html userhtml.tex +In this chapter we provide routines for preconditioners and iterative +methods. The interfaces for Krylov subspace methods are available in +the module psb_krylov_mod. +

    -The translation was initiated on 2019-05-28 +

    + +Subsections + + +
    diff --git a/docs/html/node136.html b/docs/html/node136.html new file mode 100644 index 00000000..1899d05d --- /dev/null +++ b/docs/html/node136.html @@ -0,0 +1,440 @@ + + + + + +psb_krylov -- Krylov Methods Driver Routine + + + + + + + + + + + + + + + + + +
    + +next + +up + +previous + +contents +
    + Next: Bibliography + Up: Iterative Methods + Previous: Iterative Methods +   Contents +
    +
    + + +

    +
    +psb_krylov -- Krylov Methods Driver + Routine +

    + +

    +This subroutine is a driver that provides a general interface for all +the Krylov-Subspace family methods implemented in PSBLAS version 2. + +

    +The stopping criterion can take the following values: +

    +
    1
    +
    normwise backward error in the infinity +norm; the iteration is stopped when +

    +
    + + +\begin{displaymath}err = \frac{\Vert r_i\Vert}{(\Vert A\Vert\Vert x_i\Vert+\Vert b\Vert)} < eps \end{displaymath} +
    +
    +

    +
    +
    2
    +
    Relative residual in the 2-norm; the iteration is stopped +when +

    +
    + + +\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert b\Vert _2} < eps \end{displaymath} +
    +
    +

    +
    +
    3
    +
    Relative residual reduction in the 2-norm; the iteration is stopped +when +

    +
    + + +\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert r_0\Vert _2} < eps \end{displaymath} +
    +
    +

    +
    +
    +The behaviour is controlled by the istop argument (see +later). In the above formulae, $x_i$ is the tentative solution and +$r_i=b-Ax_i$ the corresponding residual at the $i$-th iteration. + +

    +
    +\begin{lstlisting} +call psb_krylov(method,a,prec,b,x,eps,desc_a,info,& +& itmax,iter,err,itrace,irst,istop,cond) +\end{lstlisting} +
    + +

    +

    +
    Type:
    +
    Synchronous. +
    +
    On Entry
    +
    +
    +
    method
    +
    a string that defines the iterative method to be + used. Supported values are: +
    +
    CG:
    +
    the Conjugate Gradient method; + +
    +
    CGS:
    +
    the Conjugate Gradient Stabilized method; + +

    +

    +
    GCR:
    +
    the Generalized Conjugate Residual method; + +
    +
    FCG:
    +
    the Flexible Conjugate Gradient method5; + +

    +

    +
    BICG:
    +
    the Bi-Conjugate Gradient method; + +
    +
    BICGSTAB:
    +
    the Bi-Conjugate Gradient Stabilized method; + +
    +
    BICGSTABL:
    +
    the Bi-Conjugate Gradient Stabilized method with restarting; + +
    +
    RGMRES:
    +
    the Generalized Minimal Residual method with restarting. + +
    +
    +
    +
    a
    +
    the local portion of global sparse matrix +$A$. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    +
    prec
    +
    The data structure containing the preconditioner. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type precdatapsb_prec_type. +
    +
    b
    +
    The RHS vector. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
    +
    x
    +
    The initial guess. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
    +
    eps
    +
    The stopping tolerance. +
    +Scope: global +
    +Type: required +
    +Intent: in. +
    +Specified as: a real number. +
    +
    desc_a
    +
    contains data structures for communications. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type descdatapsb_desc_type. +
    +
    itmax
    +
    The maximum number of iterations to perform. +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Default: $itmax = 1000$. +
    +Specified as: an integer variable $itmax \ge 1$. +
    +
    itrace
    +
    If $>0$ print out an informational message about + convergence every $itrace$ iterations. If $=0$ print a message in + case of convergence failure. +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Default: $itrace = -1$. +
    +
    irst
    +
    An integer specifying the restart parameter. +
    +Scope: global +
    +Type: optional. +
    +Intent: in. +
    +Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES +methods, otherwise it is ignored. + +

    +

    +
    istop
    +
    An integer specifying the stopping criterion. +
    +Scope: global +
    +Type: optional. +
    +Intent: in. +
    +Values: 1: use the normwise backward error, 2: use the scaled 2-norm +of the residual, 3: use the residual reduction in the 2-norm. Default: 2. +
    +
    On Return
    +
    +
    +
    x
    +
    The computed solution. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
    +
    iter
    +
    The number of iterations performed. +
    +Scope: global +
    +Type: optional +
    +Intent: out. +
    +Returned as: an integer variable. +
    +
    err
    +
    The convergence estimate on exit. +
    +Scope: global +
    +Type: optional +
    +Intent: out. +
    +Returned as: a real number. +
    +
    cond
    +
    An estimate of the condition number of matrix $A$; only + available with the $CG$ method on real data. +
    +Scope: global +
    +Type: optional +
    +Intent: out. +
    +Returned as: a real number. A correct result will be greater than or +equal to one; if specified for non-real data, or an error occurred, +zero is returned. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +
    + +

    + +

    + +

    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: Bibliography + Up: Iterative Methods + Previous: Iterative Methods +   Contents
    + + + + diff --git a/docs/html/node137.html b/docs/html/node137.html new file mode 100644 index 00000000..4717ee2d --- /dev/null +++ b/docs/html/node137.html @@ -0,0 +1,180 @@ + + + + + +Bibliography + + + + + + + + + + + + + + + + + + +
    + +next + +up + +previous + +contents +
    + Next: About this document ... + Up: userhtml + Previous: psb_krylov Krylov +   Contents +

    + + +

    +Bibliography +

    1 +
    + D. Barbieri, V. Cardellini, S. Filippone and D. Rouson +Design Patterns for Scientific Computations on Sparse Matrices, + HPSS 2011, Algorithms and Programming Tools for Next-Generation High-Performance Scientific Software, Bordeaux, Sep. 2011 + +

    +

    2 +
    +G. Bella, S. Filippone, A. De Maio and M. Testa, +A Simulation Model for Forest Fires, +in J. Dongarra, K. Madsen, J. Wasniewski, editors, +Proceedings of PARA 04 Workshop on State of the Art +in Scientific Computing, pp. 546-553, Lecture Notes in Computer Science, +Springer, 2005. +

    3 +
    A. Buttari, D. di Serafino, P. D'Ambra, S. Filippone,
    +2LEV-D2P4: a package of high-performance preconditioners,
    +Applicable Algebra in Engineering, Communications and Computing, +Volume 18, Number 3, May, 2007, pp. 223-239 +

    4 +
    P. D'Ambra, S. Filippone, D. Di Serafino
    +On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners +
    +Applied Numerical Mathematics, Elsevier Science, +Volume 57, Issues 11-12, November-December 2007, Pages 1181-1196. + +

    +

    5 +
    + Dongarra, J. J., DuCroz, J., Hammarling, S. and Hanson, R., +An Extended Set of Fortran Basic Linear Algebra Subprograms, +ACM Trans. Math. Softw. vol. 14, 1-17, 1988. +

    6 +
    + Dongarra, J., DuCroz, J., Hammarling, S. and Duff, I., +A Set of level 3 Basic Linear Algebra Subprograms, +ACM Trans. Math. Softw. vol. 16, 1-17, 1990. +

    7 +
    +J. J. Dongarra and R. C. Whaley, +A User's Guide to the BLACS v. 1.1, +Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of +Tennessee, March 1995 (updated May 1997). +

    8 +
    +I. Duff, M. Marrone, G. Radicati and C. Vittoli, +Level 3 Basic Linear Algebra Subprograms for Sparse Matrices: +a User Level Interface, +ACM Transactions on Mathematical Software, 23(3), pp. 379-401, 1997. +

    9 +
    +I. Duff, M. Heroux and R. Pozo, +An Overview of the Sparse Basic Linear +Algebra Subprograms: the New Standard from the BLAS Technical Forum, +ACM Transactions on Mathematical Software, 28(2), pp. 239-267, 2002. +

    10 +
    +S. Filippone and M. Colajanni, +PSBLAS: A Library for Parallel Linear Algebra +Computation on Sparse Matrices, +
    +ACM Transactions on Mathematical Software, 26(4), pp. 527-550, 2000. +

    11 +
    +S. Filippone and A. Buttari, +Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003, +
    +ACM Transactions on Mathematical Software, 38(4), 2012. +

    12 +
    +S. Filippone, P. D'Ambra, M. Colajanni, +Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics +Applications Code on Linux Clusters, +in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, +Parallel Computing - Advances & Current Issues, +pp. 441-448, Imperial College Press, 2002. +

    13 +
    + Gamma, E., Helm, R., Johnson, R., and Vlissides, + J. 1995. + Design Patterns: Elements of Reusable Object-Oriented Software. + Addison-Wesley. + +

    +

    14 +
    +Karypis, G. and Kumar, V., +METIS: Unstructured Graph Partitioning and Sparse Matrix + Ordering System. +Minneapolis, MN 55455: University of Minnesota, Department of + Computer Science, 1995. +Internet Address: http://www.cs.umn.edu/~karypis. +

    15 +
    +Lawson, C., Hanson, R., Kincaid, D. and Krogh, F., + Basic Linear Algebra Subprograms for Fortran usage, +ACM Trans. Math. Softw. vol. 5, 38-329, 1979. + +

    +

    16 +
    +Machiels, L. and Deville, M. +Fortran 90: An entry to object-oriented programming for the solution + of partial differential equations. +ACM Trans. Math. Softw. vol. 23, 32-49. +

    17 +
    +Metcalf, M., Reid, J. and Cohen, M. +Fortran 95/2003 explained. +Oxford University Press, 2004. +

    18 +
    +Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The + Object-Oriented Way. Cambridge University Press (2011) + +

    +

    19 +
    +M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra, +MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, +MIT Press, 1998. +
    + +

    +

    + + + diff --git a/docs/html/node138.html b/docs/html/node138.html new file mode 100644 index 00000000..6fd05bf8 --- /dev/null +++ b/docs/html/node138.html @@ -0,0 +1,67 @@ + + + + + +About this document ... + + + + + + + + + + + + + + + + +
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    +Copyright © 1993, 1994, 1995, 1996, +Nikos Drakos, +Computer Based Learning Unit, University of Leeds. +
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    @@ -68,7 +68,7 @@ passing.

    The PSBLAS library version 3 is implemented in the Fortran 2003 [17] programming language, with reuse and/or + HREF="node137.html#metcalf">17] programming language, with reuse and/or adaptation of existing Fortran 77 and Fortran 95 software, plus a handful of C routines. @@ -78,11 +78,11 @@ mostly in the handling of requirements for evolution and adaptation of the library to new computing architectures and integration of new algorithms. For a detailed discussion of our design see [11]; other + HREF="node137.html#Sparse03">11]; other works discussing advanced programming in Fortran 2003 include [1,18]; sufficient support for + HREF="node137.html#DesPat:11">1,18]; sufficient support for Fortran 2003 is now available from many compilers, including the GNU Fortran compiler from the Free Software Foundation (as of version 4.8). @@ -91,7 +91,7 @@ Previous approaches have been based on mixing Fortran 95, with its support for object-based design, with other languages; these have been advocated by a number of authors, e.g. [16]. Moreover, the Fortran 95 facilities for dynamic + HREF="node137.html#machiels">16]. Moreover, the Fortran 95 facilities for dynamic memory management and interface overloading greatly enhance the usability of the PSBLAS subroutines. In this way, the library can take care of runtime memory @@ -102,12 +102,12 @@ implementation or compilation time. The presentation of the PSBLAS library follows the general structure of the proposal for serial Sparse BLAS [8,9], which in its turn is based on the + HREF="node137.html#sblas97">8,9], which in its turn is based on the proposal for BLAS on dense matrices [15,5,6]. + HREF="node137.html#BLAS1">15,5,6].

    The applicability of sparse iterative solvers to many different areas @@ -142,26 +142,26 @@ computational fluid dynamics applications.

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    @@ -57,9 +57,9 @@ The spdatapsb_Tspmat_type class contains all information about the local portion of the sparse matrix and its storage mode. Its design is based on the STATE design pattern [13] as detailed + HREF="node137.html#DesignPatterns">13] as detailed in [11]; the type declaration is shown in + HREF="node137.html#Sparse03">11]; the type declaration is shown in figure 4 where T is a placeholder for the data type and precision variants
    @@ -141,74 +141,74 @@ variants are obtained by conversion to/from it. Subsections
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    @@ -56,7 +56,7 @@ General overview The PSBLAS library is designed to handle the implementation of iterative solvers for sparse linear systems on distributed memory parallel computers. The system coefficient matrix $A$ must be square; it may be real or complex, nonsymmetric, and its sparsity pattern @@ -75,10 +75,10 @@ calls to the serial sparse BLAS subroutines. In a similar way, the inter-process message exchanges are encapsulated in an applicaiton layer that has been strongly inspired by the Basic Linear Algebra Communication Subroutines (BLACS) library [7]. + HREF="node137.html#BLACS">7]. Usually there is no need to deal directly with MPI; however, in some cases, MPI routines are used directly to improve efficiency. For -further details on our communication layer see Sec. 7. +further details on our communication layer see Sec. 7.

    @@ -131,7 +131,7 @@ equation indices to processes. In particular it is consistent with the usage of graph partitioning tools commonly available in the literature, e.g. METIS [14]. + HREF="node137.html#METIS">14]. Dense vectors conform to sparse matrices, that is, the entries of a vector follow the same distribution of the matrix rows. @@ -151,44 +151,44 @@ bottleneck would make this option unattractive in most cases. Subsections

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    @@ -62,21 +62,21 @@ PDE. Each point of the discretization mesh will have (at least) one associated equation/variable, and therefore one index. We say that point $i$ depends on point $j$ if the equation for a variable associated with $i$ contains a term in $j$, or equivalently if $a_{ij} \ne0$. After the partition of the discretization mesh into sub-domains @@ -123,25 +123,25 @@ Overlap points do not usually exist in the basic data distributions; however they are a feature of Domain Decomposition Schwarz preconditioners which are the subject of related research work [4,3]. + HREF="node137.html#2007c">4,3].

    We denote the sets of internal, boundary and halo points for a given subdomain by $\cal I$, $\cal B$ and $\cal H$. Each subdomain is assigned to one process; each process usually owns one subdomain, although the user may choose to assign more than one subdomain to a process. If each process $i$ owns one subdomain, the number of rows in the local sparse matrix is @@ -149,7 +149,7 @@ subdomain, the number of rows in the local sparse matrix is $|{\cal I}_i| + |{\cal B}_i|$ --> $\vert{\cal I}_i\vert + \vert{\cal B}_i\vert$, and the number of local columns (i.e. those for which there exists at least one non-zero entry in the @@ -157,7 +157,7 @@ local rows) is $\vert{\cal I}_i\vert + \vert{\cal B}_i\vert +\vert{\cal H}_i\vert$. @@ -170,7 +170,7 @@ Point classfication.

    \includegraphics[scale=0.65]{figures/points.eps} - next - up - previous - contents
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    @@ -57,7 +57,7 @@ The vdatapsb_T_vect_type data structure encapsulates the dense vectors in a way similar to sparse matrices, i.e. including a base type vbasedata psb_T_base_vect_type. The user will not, in general, access the vector components directly, -but rather via the routines of sec. 6. Among other +but rather via the routines of sec. 6. Among other simple things, we define here an extraction method that can be used to get a full copy of the part of the vector stored on the local process. @@ -119,44 +119,44 @@ private memory. Subsections
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    @@ -89,15 +89,15 @@ Type: optional; default: entire vector.
    Function value
    An allocatable array holding a copy of the dense vector contents. If the argument $n$ is specified, the size of the returned array equals the minimum between $n$ and the internal size of the vector, or 0 if $n$ is negative; otherwise, the size of the array is the same as the internal size of the vector. diff --git a/docs/html/node49.html b/docs/html/node49.html index 08d0b52c..8344bc75 100644 --- a/docs/html/node49.html +++ b/docs/html/node49.html @@ -22,26 +22,26 @@
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    @@ -125,7 +125,7 @@ internally defined in the PSBLAS software package: For example the psb_geins, psb_spins and - psb_cdins perform the same action (see 6) on + psb_cdins perform the same action (see 6) on dense matrices, sparse matrices and communication descriptors respectively. Interface overloading allows the usage of the same subroutine @@ -167,26 +167,26 @@ whose current value is 3.4.0
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    @@ -52,7 +52,7 @@ Heap data structure

    -Among the tools routines of sec. 6, we have a number +Among the tools routines of sec. 6, we have a number of sorting utilities; the heap sort is implemented in terms of heaps having the following signatures:

    diff --git a/docs/html/node52.html b/docs/html/node52.html index deb3c842..1d9cf8ca 100644 --- a/docs/html/node52.html +++ b/docs/html/node52.html @@ -14,7 +14,7 @@ - + @@ -23,26 +23,26 @@
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    @@ -58,33 +58,39 @@ Computational routines Subsections
    diff --git a/docs/html/node53.html b/docs/html/node53.html index 6df5a187..b3c9a66e 100644 --- a/docs/html/node53.html +++ b/docs/html/node53.html @@ -23,26 +23,26 @@
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    @@ -78,7 +78,7 @@ call psb_geaxpby(alpha, x, beta, y, desc_a, info)


    -
    +
    @@ -86,16 +86,16 @@ Data types
    Table 1: Data types
    @@ -129,7 +129,7 @@ Data types
    alpha
    the scalar $\alpha$.
    @@ -145,7 +145,7 @@ type indicated in Table 1.
    x
    the local portion of global dense matrix $x$.
    @@ -158,16 +158,16 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 1. The rank of $x$ must be the same of $y$.
    beta
    the scalar $\beta$.
    @@ -182,7 +182,7 @@ Specified as: a number of the data type indicated in Table $y$.
    @@ -194,10 +194,10 @@ Intent: inout.
    Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of the type indicated in Table     1. The rank of $y$ must be the same of $x$.
    @@ -223,7 +223,7 @@ Specified as: an object of type descdatapsb_desc_type.
    y
    the local portion of result submatrix $y$.
    @@ -253,26 +253,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_gedot Dot - Up: Up: Computational routines - Previous: Previous: Computational routines -   Contents
    diff --git a/docs/html/node54.html b/docs/html/node54.html index 1cfefa4f..9ab3fd9c 100644 --- a/docs/html/node54.html +++ b/docs/html/node54.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_gedots Generalized - Up: Up: Computational routines - Previous: Previous: psb_geaxpby General -   Contents

    @@ -54,19 +54,19 @@ psb_gedot -- Dot Product

    This function computes dot product between two vectors $x$ and $y$.
    If $x$ and $y$ are real vectors it computes dot-product as: @@ -86,10 +86,10 @@ dot \leftarrow x^T y

    Else if $x$ and $y$ are complex vectors then it computes dot-product as:

    @@ -101,7 +101,7 @@ dot \leftarrow x^H y --> \begin{displaymath}dot \leftarrow x^H y\end{displaymath} @@ -113,7 +113,7 @@ dot \leftarrow x^H y psb_gedot(x, y, desc_a, info [,global])

    -
    +
    $x$, $y$, $\alpha$, $\beta$ Subroutine
    @@ -121,13 +121,13 @@ Data types
    Table 2: Data types
    @@ -162,7 +162,7 @@ Data types
    x
    the local portion of global dense matrix $x$.
    @@ -175,17 +175,17 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 2. The rank of $x$ must be the same of $y$.
    y
    the local portion of global dense matrix $y$.
    @@ -198,10 +198,10 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 2. The rank of $y$ must be the same of $x$.
    @@ -236,10 +236,10 @@ Default: global=.true.
    Function value
    is the dot product of vectors $x$ and $y$.
    @@ -272,7 +272,7 @@ An integer value; 0 means no error has been detected. by using the following scheme:
    \begin{lstlisting} vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.) @@ -290,26 +290,26 @@ In this way the global communication, which for small sizes is a <DIV CLASS=
    - next - up - previous - contents
    - Next: Next: psb_gedots Generalized - Up: Up: Computational routines - Previous: Previous: psb_geaxpby General -   Contents diff --git a/docs/html/node55.html b/docs/html/node55.html index f14e7e64..1244a8d8 100644 --- a/docs/html/node55.html +++ b/docs/html/node55.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_normi Infinity-Norm - Up: Up: Computational routines - Previous: Previous: psb_gedot Dot -   Contents

    @@ -55,10 +55,10 @@ psb_gedots -- Generalized Dot Product

    This subroutine computes a series of dot products among the columns of two dense matrices $x$ and $y$:

    @@ -70,7 +70,7 @@ res(i) \leftarrow x(:,i)^T y(:,i) --> \begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath} @@ -78,17 +78,17 @@ res(i) \leftarrow x(:,i)^T y(:,i)

    If the matrices are complex, then the usual convention applies, i.e. the conjugate transpose of $x$ is used. If $x$ and $y$ are of rank one, then $res$ is a scalar, else it is a rank one array. @@ -98,7 +98,7 @@ is a rank one array. call psb_gedots(res, x, y, desc_a, info)

    -
    +
    $dot$, $x$, $y$ Function
    @@ -106,13 +106,13 @@ Data types
    Table 3: Data types
    @@ -147,7 +147,7 @@ Data types
    x
    the local portion of global dense matrix $x$.
    @@ -160,17 +160,17 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 3. The rank of $x$ must be the same of $y$.
    y
    the local portion of global dense matrix $y$.
    @@ -183,10 +183,10 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 3. The rank of $y$ must be the same of $x$.
    @@ -206,10 +206,10 @@ Specified as: an object of type descdatapsb_desc_type.
    res
    is the dot product of vectors $x$ and $y$.
    @@ -237,26 +237,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_normi Infinity-Norm - Up: Up: Computational routines - Previous: Previous: psb_gedot Dot -   Contents
    diff --git a/docs/html/node56.html b/docs/html/node56.html index d626f7f6..7f1ecd2b 100644 --- a/docs/html/node56.html +++ b/docs/html/node56.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_geamaxs Generalized - Up: Up: Computational routines - Previous: Previous: psb_gedots Generalized -   Contents

    @@ -55,12 +55,12 @@ psb_normi -- Infinity-Norm of Vector

    This function computes the infinity-norm of a vector $x$.
    If $x$ is a real vector it computes infinity norm as: @@ -73,14 +73,14 @@ amax \leftarrow \max_i |x_i| --> \begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}

    else if $x$ is a complex vector then it computes the infinity-norm as:

    @@ -92,7 +92,7 @@ amax \leftarrow \max_i {(|re(x_i)| + |im(x_i)|)} --> \begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath} @@ -107,7 +107,7 @@ psb_normi(x, desc_a, info [,global])


    -
    +
    $res$, $x$, $y$ Subroutine
    @@ -115,11 +115,11 @@ Data types
    Table 4: Data types
    @@ -158,7 +158,7 @@ Data types
    x
    the local portion of global dense matrix $x$. @@ -205,7 +205,7 @@ Default: global=.true.
    Function value
    is the infinity norm of vector $x$.
    @@ -238,7 +238,7 @@ An integer value; 0 means no error has been detected. by using the following scheme:
    \begin{lstlisting} vres(1) = psb_geamax(x1,desc_a,info,global=.false.) @@ -256,26 +256,26 @@ In this way the global communication, which for small sizes is a <DIV CLASS=
    - next - up - previous - contents
    - Next: Next: psb_geamaxs Generalized - Up: Up: Computational routines - Previous: Previous: psb_gedots Generalized -   Contents diff --git a/docs/html/node57.html b/docs/html/node57.html index fdd2f842..60bc14e4 100644 --- a/docs/html/node57.html +++ b/docs/html/node57.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_norm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_normi Infinity-Norm -   Contents

    @@ -55,7 +55,7 @@ psb_geamaxs -- Generalized Infinity Norm

    This subroutine computes a series of infinity norms on the columns of a dense matrix $x$:

    @@ -67,7 +67,7 @@ res(i) \leftarrow \max_k |x(k,i)| --> \begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath} @@ -81,7 +81,7 @@ call psb_geamaxs(res, x, desc_a, info)


    -
    +
    $amax$ $x$ Function
    @@ -89,11 +89,11 @@ Data types
    Table 5: Data types
    @@ -132,7 +132,7 @@ Data types
    x
    the local portion of global dense matrix $x$.
    @@ -162,7 +162,7 @@ Specified as: an object of type descdatapsb_desc_type.
    res
    is the infinity norm of the columns of $x$.
    @@ -189,26 +189,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_norm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_normi Infinity-Norm -   Contents
    diff --git a/docs/html/node58.html b/docs/html/node58.html index c4fd28f7..489a80f3 100644 --- a/docs/html/node58.html +++ b/docs/html/node58.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_geasums Generalized - Up: Up: Computational routines - Previous: Previous: psb_geamaxs Generalized -   Contents

    @@ -54,12 +54,12 @@ psb_norm1 -- 1-Norm of Vector

    This function computes the 1-norm of a vector $x$.
    If $x$ is a real vector it computes 1-norm as: @@ -72,14 +72,14 @@ asum \leftarrow \|x_i\| --> \begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath}

    else if $x$ is a complex vector then it computes 1-norm as:

    @@ -91,7 +91,7 @@ asum \leftarrow \|re(x)\|_1 + \|im(x)\|_1 --> \begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath} @@ -106,7 +106,7 @@ psb_norm1(x, desc_a, info [,global])


    -
    +
    $res$ $x$ Subroutine
    @@ -114,11 +114,11 @@ Data types
    Table 6: Data types
    @@ -157,7 +157,7 @@ Data types
    x
    the local portion of global dense matrix $x$. @@ -203,7 +203,7 @@ Default: global=.true.
    Function value
    is the 1-norm of vector $x$.
    @@ -236,7 +236,7 @@ An integer value; 0 means no error has been detected. by using the following scheme:
    \begin{lstlisting} vres(1) = psb_geasum(x1,desc_a,info,global=.false.) @@ -254,26 +254,26 @@ In this way the global communication, which for small sizes is a <DIV CLASS=
    - next - up - previous - contents
    - Next: Next: psb_geasums Generalized - Up: Up: Computational routines - Previous: Previous: psb_geamaxs Generalized -   Contents diff --git a/docs/html/node59.html b/docs/html/node59.html index 4ab320ea..bed7c250 100644 --- a/docs/html/node59.html +++ b/docs/html/node59.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_norm2 2-Norm - Up: Up: Computational routines - Previous: Previous: psb_norm1 1-Norm -   Contents

    @@ -55,7 +55,7 @@ psb_geasums -- Generalized 1-Norm of Vector

    This subroutine computes a series of 1-norms on the columns of a dense matrix $x$:

    @@ -67,19 +67,19 @@ res(i) \leftarrow \max_k |x(k,i)| --> \begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}

    This function computes the 1-norm of a vector $x$.
    If $x$ is a real vector it computes 1-norm as: @@ -92,14 +92,14 @@ res(i) \leftarrow \|x_i\| --> \begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}

    else if $x$ is a complex vector then it computes 1-norm as:

    @@ -111,7 +111,7 @@ res(i) \leftarrow \|re(x)\|_1 + \|im(x)\|_1 --> \begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath} @@ -125,7 +125,7 @@ call psb_geasums(res, x, desc_a, info)


    -
    +
    $asum$ $x$ Function
    @@ -133,11 +133,11 @@ Data types
    Table 7: Data types
    @@ -176,7 +176,7 @@ Data types
    x
    the local portion of global dense matrix $x$. @@ -209,7 +209,7 @@ Specified as: an object of type descdatapsb_desc_type.
    res
    contains the 1-norm of (the columns of) $x$.
    @@ -237,26 +237,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_norm2 2-Norm - Up: Up: Computational routines - Previous: Previous: psb_norm1 1-Norm -   Contents
    diff --git a/docs/html/node6.html b/docs/html/node6.html index 91707813..15321ca3 100644 --- a/docs/html/node6.html +++ b/docs/html/node6.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: User-defined index mappings - Up: Up: General overview - Previous: Previous: Library contents -   Contents

    @@ -61,7 +61,7 @@ space to which there corresponds an index space and a matrix sparsity pattern. As an example, consider a cell-centered finite-volume discretization of the Navier-Stokes equations on a simulation domain; the index space $1\dots n$ is isomorphic to the set of cell centers, whereas the pattern of the associated linear system matrix is @@ -72,7 +72,7 @@ by the discretization stencil. Thus the first order of business is to establish an index space, and this is done with a call to psb_cdall in which we specify the size of the index space $n$ and the allocation of the elements of the index space to the various processes making up the MPI (virtual) @@ -81,22 +81,22 @@ parallel machine.

    The index space is partitioned among processes, and this creates a mapping from the “global” numbering $1\dots n$ to a numbering “local” to each process; each process $i$ will own a certain subset $1\dots n_{\hbox{row}_i}$, each element of which corresponds to a certain element of $1\dots n$. The user does not set explicitly this mapping; when the application needs to indicate to which element of the index @@ -106,7 +106,7 @@ library will translate into the appropriate “local” numbering.

    For a given index space $1\dots n$ there are many possible associated topologies, i.e. many different discretization stencils; thus the @@ -115,7 +115,7 @@ defined a sparsity pattern, either explicitly through psb_cdins or implicitly through psb_spins. The descriptor is finalized with a call to psb_cdasb and a sparse matrix with a call to psb_spasb. After psb_cdasb each process $i$ will have defined a set of “halo” (or “ghost”) indices @@ -123,16 +123,16 @@ defined a set of “halo” (or “ghost”) indices $n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$ --> $n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$, denoting elements of the index space that are not assigned to process $i$; however the variables associated with them are needed to complete computations associated with the sparse matrix $A$, and thus they have to be fetched from (neighbouring) processes. The descriptor of the index @@ -247,33 +247,33 @@ from optimal. Subsections

    - next - up - previous - contents
    - Next: Next: User-defined index mappings - Up: Up: General overview - Previous: Previous: Library contents -   Contents
    diff --git a/docs/html/node60.html b/docs/html/node60.html index f663ca4c..231ca72d 100644 --- a/docs/html/node60.html +++ b/docs/html/node60.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_genrm2s Generalized - Up: Up: Computational routines - Previous: Previous: psb_geasums Generalized -   Contents

    @@ -54,12 +54,12 @@ psb_norm2 -- 2-Norm of Vector

    This function computes the 2-norm of a vector $x$.
    If $x$ is a real vector it computes 2-norm as: @@ -72,14 +72,14 @@ nrm2 \leftarrow \sqrt{x^T x} --> \begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath}

    else if $x$ is a complex vector then it computes 2-norm as:

    @@ -91,7 +91,7 @@ nrm2 \leftarrow \sqrt{x^H x} --> \begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath} @@ -100,7 +100,7 @@ nrm2 \leftarrow \sqrt{x^H x}


    -
    +
    $res$ $x$ Subroutine
    @@ -108,11 +108,11 @@ Data types
    Table 8: Data types
    @@ -157,7 +157,7 @@ psb_norm2(x, desc_a, info [,global])
    x
    the local portion of global dense matrix $x$.
    @@ -203,7 +203,7 @@ Default: global=.true.
    Function Value
    is the 2-norm of vector $x$.
    @@ -238,7 +238,7 @@ An integer value; 0 means no error has been detected. by using the following scheme:
    \begin{lstlisting} vres(1) = psb_genrm2(x1,desc_a,info,global=.false.) @@ -256,26 +256,26 @@ In this way the global communication, which for small sizes is a <DIV CLASS=
    - next - up - previous - contents
    - Next: Next: psb_genrm2s Generalized - Up: Up: Computational routines - Previous: Previous: psb_geasums Generalized -   Contents diff --git a/docs/html/node61.html b/docs/html/node61.html index 867d4545..bdbc1061 100644 --- a/docs/html/node61.html +++ b/docs/html/node61.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_norm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_norm2 2-Norm -   Contents

    @@ -55,7 +55,7 @@ psb_genrm2s -- Generalized 2-Norm of Vector

    This subroutine computes a series of 2-norms on the columns of a dense matrix $x$:

    @@ -67,7 +67,7 @@ res(i) \leftarrow \|x(:,i)\|_2 --> \begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath} @@ -81,7 +81,7 @@ call psb_genrm2s(res, x, desc_a, info)


    -
    +
    $nrm2$ $x$ Function
    @@ -89,11 +89,11 @@ Data types
    Table 9: Data types
    @@ -132,7 +132,7 @@ Data types
    x
    the local portion of global dense matrix $x$. @@ -165,7 +165,7 @@ Specified as: an object of type descdatapsb_desc_type.
    res
    contains the 1-norm of (the columns of) $x$.
    @@ -192,26 +192,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_norm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_norm2 2-Norm -   Contents
    diff --git a/docs/html/node62.html b/docs/html/node62.html index 6ef4e36d..497fbdd5 100644 --- a/docs/html/node62.html +++ b/docs/html/node62.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_normi Infinity - Up: Up: Computational routines - Previous: Previous: psb_genrm2s Generalized -   Contents

    @@ -54,7 +54,7 @@ psb_norm1 -- 1-Norm of Sparse Matrix

    This function computes the 1-norm of a matrix $A$:
    @@ -68,7 +68,7 @@ nrm1 \leftarrow \|A\|_1 --> \begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath} @@ -77,11 +77,11 @@ nrm1 \leftarrow \|A\|_1 where:

    $A$
    represents the global matrix $A$
    @@ -89,7 +89,7 @@ where:


    -
    +
    $res$ $x$ Subroutine
    @@ -97,7 +97,7 @@ Data types
    Table 10: Data types
    @@ -138,7 +138,7 @@ psb_norm1(A, desc_a, info)
    a
    the local portion of the global sparse matrix $A$.
    @@ -166,7 +166,7 @@ Specified as: an object of type descdatapsb_desc_type.
    Function value
    is the 1-norm of sparse submatrix $A$.
    diff --git a/docs/html/node63.html b/docs/html/node63.html index d084adad..a4d42680 100644 --- a/docs/html/node63.html +++ b/docs/html/node63.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_spmm Sparse - Up: Up: Computational routines - Previous: Previous: psb_norm1 1-Norm -   Contents

    @@ -54,7 +54,7 @@ psb_normi -- Infinity Norm of Sparse Matrix

    This function computes the infinity-norm of a matrix $A$:
    @@ -68,7 +68,7 @@ nrmi \leftarrow \|A\|_\infty --> \begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath} @@ -77,11 +77,11 @@ nrmi \leftarrow \|A\|_\infty where:

    $A$
    represents the global matrix $A$
    @@ -89,7 +89,7 @@ where:


    -
    +
    $A$ Function
    @@ -97,7 +97,7 @@ Data types
    Table 11: Data types
    @@ -138,7 +138,7 @@ psb_normi(A, desc_a, info)
    a
    the local portion of the global sparse matrix $A$.
    @@ -166,7 +166,7 @@ Specified as: an object of type descdatapsb_desc_type.
    Function value
    is the infinity-norm of sparse submatrix $A$.
    diff --git a/docs/html/node64.html b/docs/html/node64.html index 9f15d14c..12cdf45b 100644 --- a/docs/html/node64.html +++ b/docs/html/node64.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_spsm Triangular - Up: Up: Computational routines - Previous: Previous: psb_normi Infinity -   Contents

    @@ -88,7 +88,7 @@ y \leftarrow \alpha A^T x + \beta y
    $A$ Function
    \begin{displaymath} y \leftarrow \alpha A^T x + \beta y @@ -122,29 +122,29 @@ y \leftarrow \alpha A^H x + \beta y where: <DL> <DT><STRONG><SPAN CLASS=$x$
    is the global dense matrix $x_{:, :}$
    $y$
    is the global dense matrix $y_{:, :}$
    $A$
    is the global sparse matrix $A$
    @@ -152,7 +152,7 @@ where:


    -
    +
    @@ -160,19 +160,19 @@ Data types
    Table 12: Data types
    @@ -213,7 +213,7 @@ call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
    alpha
    the scalar $\alpha$.
    @@ -229,7 +229,7 @@ Table 12.
    a
    the local portion of the sparse matrix $A$.
    @@ -244,7 +244,7 @@ Specified as: an object of type spdatapsb_Tspmat_type.
    x
    the local portion of global dense matrix $x$. @@ -258,16 +258,16 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 12. The rank of $x$ must be the same of $y$.
    beta
    the scalar $\beta$.
    @@ -282,7 +282,7 @@ Specified as: a number of the data type indicated in Table $y$. @@ -296,10 +296,10 @@ Intent: inout. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 12. The rank of $y$ must be the same of $x$.
    @@ -336,7 +336,7 @@ Type: optional Intent: in.
    Default: $trans = N$
    @@ -354,10 +354,10 @@ Type: optional Intent: inout.
    Specified as: a rank one array of the same type of $x$ and $y$ with the TARGET attribute. @@ -369,7 +369,7 @@ the TARGET attribute.
    y
    the local portion of result matrix $y$.
    @@ -400,26 +400,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_spsm Triangular - Up: Up: Computational routines - Previous: Previous: psb_normi Infinity -   Contents
    diff --git a/docs/html/node65.html b/docs/html/node65.html index 7617d650..0283a958 100644 --- a/docs/html/node65.html +++ b/docs/html/node65.html @@ -14,6 +14,7 @@ + @@ -22,26 +23,26 @@
    - next - up - previous - contents
    - Next: Communication routines - Up: Next: psb_gemlt Entrywise + Up: Computational routines - Previous: Previous: psb_spmm Sparse -   Contents

    @@ -86,34 +87,34 @@ y &\leftarrow& \alpha T^{-H} D x + \beta y\\ where:
    $x$
    is the global dense matrix $x_{:, :}$
    $y$
    is the global dense matrix $y_{:, :}$
    $T$
    is the global sparse block triangular submatrix $T$
    $D$
    is the scaling diagonal matrix. @@ -129,7 +130,7 @@ call psb_spsm(alpha, t, x, beta, y, desc_a, info,&


    -
    +
    $A$, $x$, $y$, $\alpha$, $\beta$ Subroutine
    @@ -137,22 +138,22 @@ Data types
    Table 13: Data types
    @@ -186,7 +187,7 @@ Data types
    alpha
    the scalar $\alpha$.
    @@ -202,7 +203,7 @@ Table 13.
    t
    the global portion of the sparse matrix $T$.
    @@ -218,7 +219,7 @@ Specified as: an object type specified in
    x
    the local portion of global dense matrix $x$. @@ -232,16 +233,16 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 13. The rank of $x$ must be the same of $y$.
    beta
    the scalar $\beta$.
    @@ -256,7 +257,7 @@ Specified as: a number of the data type indicated in Table $y$. @@ -270,10 +271,10 @@ Intent: inout. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 13. The rank of $y$ must be the same of $x$.
    @@ -308,7 +309,7 @@ Type: optional Intent: in.
    Default: $trans = N$
    @@ -334,7 +335,7 @@ Type: optional Intent: in.
    Default: $unitd = U$
    @@ -380,7 +381,7 @@ Default: $diag(1) = 1 (no scaling)$
    @@ -397,7 +398,7 @@ Type: optional Intent: inout.
    Specified as: a rank one array of the same type of $x$ with the TARGET attribute. @@ -410,7 +411,7 @@ TARGET attribute.
    y
    the local portion of global dense matrix $y$. @@ -442,26 +443,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Communication routines - Up: Next: psb_gemlt Entrywise + Up: Computational routines - Previous: Previous: psb_spmm Sparse -   Contents
    diff --git a/docs/html/node66.html b/docs/html/node66.html index e73a47eb..7112a950 100644 --- a/docs/html/node66.html +++ b/docs/html/node66.html @@ -3,8 +3,8 @@ -Communication routines - +psb_gemlt -- Entrywise Product + @@ -14,64 +14,226 @@ - - - + + +
    - next - + up - previous - contents
    - Next: psb_halo Halo - Up: userhtml - Previous: Next: psb_gediv Entrywise + Up: Computational routines + Previous: psb_spsm Triangular -   Contents

    -

    -Communication routines -

    -The routines in this chapter implement various global communication operators -on vectors associated with a discretization mesh. For auxiliary communication -routines not tied to a discretization space see 6. +

    +psb_gemlt -- Entrywise Product +

    -

    - -Subsections +This function computes the entrywise product between two vectors $x$ and +$y$ +

    +
    + + +\begin{displaymath}dot \leftarrow x(i) y(i).\end{displaymath} +
    +
    +

    + +

    +

    +psb_gemlt(x, y, desc_a, info)
+
    +

    +
    +
    $T$, $x$, $y$, $D$, $\alpha$, $\beta$ Subroutine
    + + +
    Table 14: +Data types
    + + + + + + + + + + + + + + + + +
    $dot$, $x$, $y$Function
    Short Precision Realpsb_gemlt
    Long Precision Realpsb_gemlt
    Short Precision Complexpsb_gemlt
    Long Precision Complexpsb_gemlt
    +
    +
    +

    +
    - - -
    +

    +

    +
    Type:
    +
    Synchronous. + +
    +
    On Entry
    +
    +
    +
    x
    +
    the local portion of global dense vector + $x$. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: an object of type vdatapsb_T_vect_type + containing numbers of type specified in + Table 2. + +
    +
    y
    +
    the local portion of global dense vector + $y$. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: an object of type vdatapsb_T_vect_type + containing numbers of type specified in + Table 2. + +
    +
    desc_a
    +
    contains data structures for communications. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: an object of type descdatapsb_desc_type. + +
    +
    On Return
    +
    +
    +
    y
    +
    the local portion of result submatrix $y$. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: an object of type vdatapsb_T_vect_type containing numbers of the type + indicated in Table 14. + +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +
    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: psb_gediv Entrywise + Up: Computational routines + Previous: psb_spsm Triangular +   Contents
    + diff --git a/docs/html/node67.html b/docs/html/node67.html index 1ab4ea30..ff68685c 100644 --- a/docs/html/node67.html +++ b/docs/html/node67.html @@ -3,8 +3,8 @@ -psb_halo -- Halo Data Communication - +psb_gediv -- Entrywise Division + @@ -16,146 +16,153 @@ - +
    - next - + up - previous - contents
    - Next: psb_ovrl Overlap - Up: Communication routines - Previous: Communication routines -   Next: psb_geinv Entrywise + Up: Computational routines + Previous: psb_gemlt Entrywise +   Contents

    -

    -psb_halo -- Halo Data Communication +

    +psb_gediv -- Entrywise Division

    -These subroutines gathers the values of the halo -elements: - -

    +This function computes the entrywise division between two vectors $x$ and +$y$

    \begin{displaymath}x \leftarrow x \end{displaymath} + WIDTH="96" HEIGHT="29" BORDER="0" + SRC="img60.png" + ALT="\begin{displaymath}/ \leftarrow x(i)/y(i).\end{displaymath}">

    -where: -
    -
    $x$
    -
    is a global dense submatrix. -
    -

    +

    +psb_gediv(x, y, desc_a, info, [flag)
+

    -
    +
    - - +
    Table 14: +Table 15: Data types
    -
    +
    - - - - + ALT="$x$">, $y$ + - + - + - + - +
    $\alpha$, $/$, $x$Subroutine
    Integerpsb_haloFunction
    Short Precision Realpsb_halopsb_gediv
    Long Precision Realpsb_halopsb_gediv
    Short Precision Complexpsb_halopsb_gediv
    Long Precision Complexpsb_halopsb_gediv
    -


    -

    -
    -\begin{lstlisting} -call psb_halo(x, desc_a, info) -call psb_halo(x, desc_a, info, work, data) -\end{lstlisting} -
    -

    Type:
    Synchronous. +
    On Entry
    x
    -
    global dense matrix the local portion of global dense vector + $x$. +
    +Scope: local +
    +Type: required
    +Intent: in. +
    +Specified as: an object of type vdatapsb_T_vect_type + containing numbers of type specified in + Table 2. + +
    +
    y
    +
    the local portion of global dense vector + $y$. +
    Scope: local
    Type: required
    -Intent: inout. +Intent: in.
    -Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 14. +Specified as: an object of type vdatapsb_T_vect_type + containing numbers of type specified in + Table 2. +
    desc_a
    contains data structures for communications. @@ -166,41 +173,29 @@ Type: required
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: an object of type descdatapsb_desc_type. +
    -
    work
    -
    the work array. +
    flag
    +
    check if any of the $y(i) = 0$, and in case returns error halting the computation.
    Scope: local
    Type: optional + Intent: in.
    -Intent: inout. -
    -Specified as: a rank one array of the same type of $x$. -
    -
    data
    -
    index list selector. -
    -Scope: global -
    -Type: optional -
    -Specified as: an integer. Values:psb_comm_halo_,psb_comm_mov_, -psb_comm_ext_, default: psb_comm_halo_. Chooses the -index list on which to base the data exchange. - -

    +Specified as: the logical value flag=.true. +

    On Return
    x
    -
    global dense result matrix the local portion of result submatrix $x$.
    @@ -210,15 +205,12 @@ Type: required
    Intent: inout.
    -Returned as: a rank one or two array -containing numbers of type specified in -Table 14. +Specified as: an object of type vdatapsb_T_vect_type containing numbers of the type + indicated in Table 14. +
    info
    -
    the local portion of result submatrix $y$. +
    Error code.
    Scope: local
    @@ -226,406 +218,34 @@ Type: required
    Intent: out.
    -An integer value that contains an error code. +An integer value; 0 means no error has been detected.
    -
    - - - -
    Figure 7: -Sample discretization mesh.
    -
    -\includegraphics[scale=0.45]{figures/try8x8.eps} - -\includegraphics[scale=0.45]{figures/try8x8} - -
    -
    - -

    -Usage Example -Consider the discretization mesh depicted in fig. 7, -partitioned among two processes as shown by the dashed line; the data -distribution is such that each process will own 32 entries in the -index space, with a halo made of 8 entries placed at local indices 33 -through 40. If process 0 assigns an initial value of 1 to its entries -in the $x$ vector, and process 1 assigns a value of 2, then after a -call to psb_halo the contents of the local vectors will be the -following: -
    -

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    -Process 0  -Process 1
    - I GLOB(I) X(I)   I GLOB(I) X(I)
    - 1 1 1.0   1 33 2.0
    - 2 2 1.0   2 34 2.0
    - 3 3 1.0   3 35 2.0
    - 4 4 1.0   4 36 2.0
    - 5 5 1.0   5 37 2.0
    - 6 6 1.0   6 38 2.0
    - 7 7 1.0   7 39 2.0
    - 8 8 1.0   8 40 2.0
    - 9 9 1.0   9 41 2.0
    - 10 10 1.0   10 42 2.0
    - 11 11 1.0   11 43 2.0
    - 12 12 1.0   12 44 2.0
    - 13 13 1.0   13 45 2.0
    - 14 14 1.0   14 46 2.0
    - 15 15 1.0   15 47 2.0
    - 16 16 1.0   16 48 2.0
    - 17 17 1.0   17 49 2.0
    - 18 18 1.0   18 50 2.0
    - 19 19 1.0   19 51 2.0
    - 20 20 1.0   20 52 2.0
    -21 21 1.0   21 53 2.0
    -22 22 1.0   22 54 2.0
    -23 23 1.0   23 55 2.0
    -24 24 1.0   24 56 2.0
    -25 25 1.0   25 57 2.0
    -26 26 1.0   26 58 2.0
    -27 27 1.0   27 59 2.0
    -28 28 1.0   28 60 2.0
    -29 29 1.0   29 61 2.0
    -30 30 1.0   30 62 2.0
    -31 31 1.0   31 63 2.0
    -32 32 1.0   32 64 2.0
    -33 33 2.0   33 25 1.0
    -34 34 2.0   34 26 1.0
    -35 35 2.0   35 27 1.0
    -36 36 2.0   36 28 1.0
    -37 37 2.0   37 29 1.0
    -38 38 2.0   38 30 1.0
    -39 39 2.0   39 31 1.0
    -40 40 2.0   40 32 1.0
    -
    -

    - next - + up - previous - contents
    - Next: psb_ovrl Overlap - Up: Communication routines - Previous: Communication routines -   Next: psb_geinv Entrywise + Up: Computational routines + Previous: psb_gemlt Entrywise +   Contents
    diff --git a/docs/html/node68.html b/docs/html/node68.html index eff574f4..56b7396a 100644 --- a/docs/html/node68.html +++ b/docs/html/node68.html @@ -3,8 +3,8 @@ -psb_ovrl -- Overlap Update - +psb_geinv -- Entrywise Inversion + @@ -14,157 +14,136 @@ - - +
    - next - + up - previous - contents
    - Next: psb_gather Gather - Up: Communication routines - Previous: psb_halo Halo -   Next: Communication routines + Up: Computational routines + Previous: psb_gediv Entrywise +   Contents

    -

    -psb_ovrl -- Overlap Update +

    +psb_geinv -- Entrywise Inversion

    -These subroutines applies an overlap operator to the input vector: - -

    +This function computes the entrywise inverse of a vector $x$ and puts it into +$y$

    \begin{displaymath}x \leftarrow Q x \end{displaymath} + ALT="\begin{displaymath}/ \leftarrow 1/x(i).\end{displaymath}">

    -where: -
    -
    $x$
    -
    is the global dense submatrix $x$ -
    -
    $Q$
    -
    is the overlap operator; it is the composition of two -operators $P_a$ and $P^{T}$. -
    -

    +

    +psb_geinv(x, y, desc_a, info, [flag)
+

    -
    +
    - - +
    Table 15: +Table 16: Data types
    -
    +
    - + ALT="$x$">, $y$ + - + - + - + - +
    $/$, $x$SubroutineFunction
    Short Precision Realpsb_ovrlpsb_geinv
    Long Precision Realpsb_ovrlpsb_geinv
    Short Precision Complexpsb_ovrlpsb_geinv
    Long Precision Complexpsb_ovrlpsb_geinv
    -


    -

    -
    -\begin{lstlisting} -call psb_ovrl(x, desc_a, info) -call psb_ovrl(x, desc_a, info, update=update_type, work=work) -\end{lstlisting} -
    -

    Type:
    Synchronous. +
    On Entry
    x
    -
    global dense matrix the local portion of global dense vector + $x$. -
    +
    Scope: local
    Type: required
    -Intent: inout. +Intent: in.
    -Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -containing numbers of type specified in -Table 15. +Specified as: an object of type vdatapsb_T_vect_type + containing numbers of type specified in + Table 2. +
    desc_a
    contains data structures for communications. @@ -175,65 +154,29 @@ Type: required
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    update
    -
    Update operator. -
    -
    update = psb_none_
    -
    Do nothing; -
    -
    update = psb_add_
    -
    Sum overlap entries, i.e. apply $P^T$; -
    -
    update = psb_avg_
    -
    Average overlap entries, i.e. apply $P_aP^T$; -
    -
    -Scope: global -
    -Intent: in. -
    -Default: -$update\_type = psb\_avg\_ $ -
    -Scope: global -
    -Specified as: a integer variable. +Specified as: an object of type descdatapsb_desc_type. +
    -
    work
    -
    the work array. +
    flag
    +
    check if any of the $x(i) = 0$, and in case returns error halting the computation.
    Scope: local
    Type: optional + Intent: in.
    -Intent: inout. -
    -Specified as: a one dimensional array of the same type of $x$. - -

    +Specified as: the logical value flag=.true. +

    On Return
    -
    x
    -
    global dense result matrix y +
    the local portion of result submatrix $x$.
    @@ -241,11 +184,11 @@ Scope: local
    Type: required
    -Intent: inout. +Intent: out.
    -Specified as: an array of rank one or two -containing numbers of type specified in -Table 15. +Specified as: an object of type vdatapsb_T_vect_type containing numbers of the type + indicated in Table 16. +
    info
    Error code. @@ -260,500 +203,30 @@ An integer value; 0 means no error has been detected.
    -

    -Notes - -

      -
    1. If there is no overlap in the data distribution associated with - the descriptor, no operations are performed; -
      2. -
    2. The operator $P^{T}$ performs the reduction sum of overlap -elements; it is a “prolongation” operator $P^T$ that -replicates overlap elements, accounting for the physical replication -of data; -
      3. -
    3. The operator $P_a$ performs a scaling on the overlap elements by -the amount of replication; thus, when combined with the reduction -operator, it implements the average of replicated elements over all of -their instances. -
      4. -
    - -

    - -

    - - - -
    Figure 8: -Sample discretization mesh.
    -
    -\includegraphics[scale=0.65]{figures/try8x8_ov.eps} - -\includegraphics[scale=0.65]{figures/try8x8_ov} - -
    -
    - -Example of use -Consider the discretization mesh depicted in fig. 8, -partitioned among two processes as shown by the dashed lines, with an -overlap of 1 extra layer with respect to the partition of -fig. 7; the data -distribution is such that each process will own 40 entries in the -index space, with an overlap of 16 entries placed at local indices 25 -through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries -in the $x$ vector, and process 1 assigns a value of 2, then after a -call to psb_ovrl with psb_avg_ and a call to -psb_halo_ the contents of the local vectors will be the -following (showing a transition among the two subdomains) - -

    -
    -

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    -Process 0  -Process 1
    - I GLOB(I) X(I)   I GLOB(I) X(I)
    - 1 1 1.0   1 33 1.5
    - 2 2 1.0   2 34 1.5
    - 3 3 1.0   3 35 1.5
    - 4 4 1.0   4 36 1.5
    - 5 5 1.0   5 37 1.5
    - 6 6 1.0   6 38 1.5
    - 7 7 1.0   7 39 1.5
    - 8 8 1.0   8 40 1.5
    - 9 9 1.0   9 41 2.0
    - 10 10 1.0   10 42 2.0
    - 11 11 1.0   11 43 2.0
    - 12 12 1.0   12 44 2.0
    - 13 13 1.0   13 45 2.0
    - 14 14 1.0   14 46 2.0
    - 15 15 1.0   15 47 2.0
    - 16 16 1.0   16 48 2.0
    - 17 17 1.0   17 49 2.0
    - 18 18 1.0   18 50 2.0
    - 19 19 1.0   19 51 2.0
    - 20 20 1.0   20 52 2.0
    - 21 21 1.0   21 53 2.0
    - 22 22 1.0   22 54 2.0
    - 23 23 1.0   23 55 2.0
    - 24 24 1.0   24 56 2.0
    - 25 25 1.5   25 57 2.0
    - 26 26 1.5   26 58 2.0
    - 27 27 1.5   27 59 2.0
    - 28 28 1.5   28 60 2.0
    - 29 29 1.5   29 61 2.0
    - 30 30 1.5   30 62 2.0
    - 31 31 1.5   31 63 2.0
    - 32 32 1.5   32 64 2.0
    - 33 33 1.5   33 25 1.5
    - 34 34 1.5   34 26 1.5
    - 35 35 1.5   35 27 1.5
    - 36 36 1.5   36 28 1.5
    - 37 37 1.5   37 29 1.5
    - 38 38 1.5   38 30 1.5
    - 39 39 1.5   39 31 1.5
    - 40 40 1.5   40 32 1.5
    - 41 41 2.0   41 17 1.0
    - 42 42 2.0   42 18 1.0
    - 43 43 2.0   43 19 1.0
    - 44 44 2.0   44 20 1.0
    - 45 45 2.0   45 21 1.0
    - 46 46 2.0   46 22 1.0
    - 47 47 2.0   47 23 1.0
    - 48 48 2.0   48 24 1.0
    -
    -

    - next - + up - previous - contents
    - Next: psb_gather Gather - Up: Communication routines - Previous: psb_halo Halo -   Next: Communication routines + Up: Computational routines + Previous: psb_gediv Entrywise +   Contents
    diff --git a/docs/html/node69.html b/docs/html/node69.html index 79a9d84c..dd04cb65 100644 --- a/docs/html/node69.html +++ b/docs/html/node69.html @@ -3,8 +3,8 @@ -psb_gather -- Gather Global Dense Matrix - +Communication routines + @@ -14,257 +14,64 @@ - - - + + +
    - next - + up - previous - contents
    - Next: psb_scatter Scatter - Up: Communication routines - Previous: psb_ovrl Overlap -   Next: psb_halo Halo + Up: userhtml + Previous: psb_geinv Entrywise +   Contents

    -

    -psb_gather -- Gather Global Dense Matrix -

    - -

    -These subroutines collect the portions of global dense matrix -distributed over all process into one single array stored on one -process. - -

    -

    -
    - - -\begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath} -
    -
    -

    -where: -
    -
    $glob\_x$
    -
    is the global submatrix -$glob\_x_{1:m,1:n}$ -
    -
    $loc\_x_i$
    -
    is the local portion of global dense matrix on -process $i$. -
    -
    $collect$
    -
    is the collect function. -
    -
    +

    +Communication routines +

    +The routines in this chapter implement various global communication operators +on vectors associated with a discretization mesh. For auxiliary communication +routines not tied to a discretization space see 6.

    -

    -
    - - - -
    Table 16: -Data types
    -
    - - - - - - - - - - - - - - - - - - - -
    $x_i, y$Subroutine
    Integerpsb_gather
    Short Precision Realpsb_gather
    Long Precision Realpsb_gather
    Short Precision Complexpsb_gather
    Long Precision Complexpsb_gather
    -
    -
    -

    -
    - -

    -
    -\begin{lstlisting} -call psb_gather(glob_x, loc_x, desc_a, info, root) -call psb_gather(glob_x, loc_x, desc_a, info, root) -\end{lstlisting} -
    - -

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    loc_x
    -
    the local portion of global dense matrix -$glob\_x$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type -indicated in Table 16. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    root
    -
    The process that holds the global copy. If $root=-1$ all - the processes will have a copy of the global vector. -
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Specified as: an integer variable -$-1\le root\le np-1$, default $-1$. -
    -
    On Return
    -
    -
    -
    glob_x
    -
    The array where the local parts must be gathered. -
    -Scope: global -
    -Type: required -
    -Intent: out. -
    -Specified as: a rank one or two array with the ALLOCATABLE attribute. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    - -

    - -

    - - -next - -up - -previous - -contents -
    - Next: psb_scatter Scatter - Up: Communication routines - Previous: psb_ovrl Overlap -   Contents
    - +
    + +Subsections + + + +
    diff --git a/docs/html/node7.html b/docs/html/node7.html index 155a14f7..2823bee4 100644 --- a/docs/html/node7.html +++ b/docs/html/node7.html @@ -22,26 +22,26 @@
    - next - up - previous - contents
    - Next: Next: Programming model - Up: Up: Application structure - Previous: Previous: Application structure -   Contents

    @@ -61,7 +61,7 @@ to the constraints outlined in sec. 2.3< $1\dots n_{\hbox{row}_i}$ --> $1\dots n_{\hbox{row}_i}$; @@ -70,7 +70,7 @@ to the constraints outlined in sec. 2.3< $n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$ --> $n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$; diff --git a/docs/html/node70.html b/docs/html/node70.html index d16ab510..cca8cb37 100644 --- a/docs/html/node70.html +++ b/docs/html/node70.html @@ -3,8 +3,8 @@ -psb_scatter -- Scatter Global Dense Matrix - +psb_halo -- Halo Data Communication + @@ -14,98 +14,77 @@ + - +
    - next - + up - previous - contents
    - Next: Data management routines - Up: Communication routines - Previous: psb_gather Gather -   Next: psb_ovrl Overlap + Up: Communication routines + Previous: Communication routines +   Contents

    -

    -psb_scatter -- Scatter Global Dense Matrix +

    +psb_halo -- Halo Data Communication

    -These subroutines scatters the portions of global dense matrix owned -by a process to all the processes in the processes grid. +These subroutines gathers the values of the halo +elements:


    \begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath} + WIDTH="43" HEIGHT="24" BORDER="0" + SRC="img65.png" + ALT="\begin{displaymath}x \leftarrow x \end{displaymath}">

    where:
    $glob\_x$
    -
    is the global matrix -$glob\_x_{1:m,1:n}$ -
    -
    $loc\_x_i$
    -
    is the local portion of global dense matrix on -process $i$. -
    -
    $scatter$
    -
    is the scatter function. + WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img20.png" + ALT="$x$"> +
    is a global dense submatrix.


    -
    +
    @@ -113,25 +92,28 @@ Data types
    Table 17: Data types
    + WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img22.png" + ALT="$\alpha$">, $x$ - + - + - + - + - +
    $x_i, y$ Subroutine
    Integerpsb_scatterpsb_halo
    Short Precision Realpsb_scatterpsb_halo
    Long Precision Realpsb_scatterpsb_halo
    Short Precision Complexpsb_scatterpsb_halo
    Long Precision Complexpsb_scatterpsb_halo
    @@ -143,10 +125,11 @@ Data types


    \begin{lstlisting} -call psb_scatter(glob_x, loc_x, desc_a, info, root, mold) +call psb_halo(x, desc_a, info) +call psb_halo(x, desc_a, info, work, data) \end{lstlisting}
    @@ -158,16 +141,21 @@ call psb_scatter(glob_x, loc_x, desc_a, info, root, mold)

    On Entry
    -
    glob_x
    -
    The array that must be scattered into local pieces. +
    x
    +
    global dense matrix $x$.
    -Scope: global +Scope: local
    -Type: required +Type: required
    -Intent: in. +Intent: inout.
    -Specified as: a rank one or two array. +Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type +containing numbers of type specified in +Table 17.
    desc_a
    contains data structures for communications. @@ -180,61 +168,57 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    -
    root
    -
    The process that holds the global copy. If $root=-1$ all - the processes have a copy of the global vector. +
    work
    +
    the work array.
    -Scope: global +Scope: local
    Type: optional
    -Intent: in. +Intent: inout.
    -Specified as: an integer variable -$-1\le root\le np-1$, default -psb_root_, i.e. process 0. +Specified as: a rank one array of the same type of $x$.
    -
    mold
    -
    The desired dynamic type for the internal vector storage. +
    data
    +
    index list selector.
    -Scope: local. -
    -Type: optional. +Scope: global
    -Intent: in. +Type: optional
    -Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is -only allowed when loc_x is of type vdatapsb_T_vect_type. +Specified as: an integer. Values:psb_comm_halo_,psb_comm_mov_, +psb_comm_ext_, default: psb_comm_halo_. Chooses the +index list on which to base the data exchange. + +

    On Return
    -
    loc_x
    -
    the local portion of global dense matrix -$glob\_x$. +
    x
    +
    global dense result matrix $x$.
    Scope: local
    -Type: required +Type: required
    -Intent: out. +Intent: inout.
    -Specified as: a rank one or two ALLOCATABLE array or an object of type vdatapsb_T_vect_type containing numbers of the type -indicated in Table 17. +Returned as: a rank one or two array +containing numbers of type specified in +Table 17.
    info
    -
    Error code. +
    the local portion of result submatrix $y$.
    Scope: local
    @@ -242,34 +226,406 @@ Type: required
    Intent: out.
    -An integer value; 0 means no error has been detected. +An integer value that contains an error code.
    +
    + + + +
    Figure 7: +Sample discretization mesh.
    +
    +\includegraphics[scale=0.45]{figures/try8x8.eps} + +\includegraphics[scale=0.45]{figures/try8x8} + +
    +
    + +

    +Usage Example +Consider the discretization mesh depicted in fig. 7, +partitioned among two processes as shown by the dashed line; the data +distribution is such that each process will own 32 entries in the +index space, with a halo made of 8 entries placed at local indices 33 +through 40. If process 0 assigns an initial value of 1 to its entries +in the $x$ vector, and process 1 assigns a value of 2, then after a +call to psb_halo the contents of the local vectors will be the +following: +
    +

    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    +Process 0  +Process 1
    + I GLOB(I) X(I)   I GLOB(I) X(I)
    + 1 1 1.0   1 33 2.0
    + 2 2 1.0   2 34 2.0
    + 3 3 1.0   3 35 2.0
    + 4 4 1.0   4 36 2.0
    + 5 5 1.0   5 37 2.0
    + 6 6 1.0   6 38 2.0
    + 7 7 1.0   7 39 2.0
    + 8 8 1.0   8 40 2.0
    + 9 9 1.0   9 41 2.0
    + 10 10 1.0   10 42 2.0
    + 11 11 1.0   11 43 2.0
    + 12 12 1.0   12 44 2.0
    + 13 13 1.0   13 45 2.0
    + 14 14 1.0   14 46 2.0
    + 15 15 1.0   15 47 2.0
    + 16 16 1.0   16 48 2.0
    + 17 17 1.0   17 49 2.0
    + 18 18 1.0   18 50 2.0
    + 19 19 1.0   19 51 2.0
    + 20 20 1.0   20 52 2.0
    +21 21 1.0   21 53 2.0
    +22 22 1.0   22 54 2.0
    +23 23 1.0   23 55 2.0
    +24 24 1.0   24 56 2.0
    +25 25 1.0   25 57 2.0
    +26 26 1.0   26 58 2.0
    +27 27 1.0   27 59 2.0
    +28 28 1.0   28 60 2.0
    +29 29 1.0   29 61 2.0
    +30 30 1.0   30 62 2.0
    +31 31 1.0   31 63 2.0
    +32 32 1.0   32 64 2.0
    +33 33 2.0   33 25 1.0
    +34 34 2.0   34 26 1.0
    +35 35 2.0   35 27 1.0
    +36 36 2.0   36 28 1.0
    +37 37 2.0   37 29 1.0
    +38 38 2.0   38 30 1.0
    +39 39 2.0   39 31 1.0
    +40 40 2.0   40 32 1.0
    +
    +

    - next - + up - previous - contents
    - Next: Data management routines - Up: Communication routines - Previous: psb_gather Gather -   Next: psb_ovrl Overlap + Up: Communication routines + Previous: Communication routines +   Contents
    diff --git a/docs/html/node71.html b/docs/html/node71.html index ae405046..1947ee48 100644 --- a/docs/html/node71.html +++ b/docs/html/node71.html @@ -3,8 +3,8 @@ -Data management routines - +psb_ovrl -- Overlap Update + @@ -14,120 +14,748 @@ - - - + + +
    - next - + up - previous - contents
    - Next: psb_cdall Allocates - Up: userhtml - Previous: psb_scatter Scatter -   Next: psb_gather Gather + Up: Communication routines + Previous: psb_halo Halo +   Contents

    -

    - +

    +psb_ovrl -- Overlap Update +

    + +

    +These subroutines applies an overlap operator to the input vector: + +

    +

    +
    + + +\begin{displaymath}x \leftarrow Q x \end{displaymath} +
    +
    +

    +where: +
    +
    $x$
    +
    is the global dense submatrix $x$ +
    +
    $Q$
    +
    is the overlap operator; it is the composition of two +operators $P_a$ and $P^{T}$. +
    +
    + +

    +

    +
    + + + +
    Table 18: +Data types
    +
    + + + + + + + + + + + + + + + + +
    $x$Subroutine
    Short Precision Realpsb_ovrl
    Long Precision Realpsb_ovrl
    Short Precision Complexpsb_ovrl
    Long Precision Complexpsb_ovrl
    +
    +
    +

    +
    + +

    +
    +\begin{lstlisting} +call psb_ovrl(x, desc_a, info) +call psb_ovrl(x, desc_a, info, update=update_type, work=work) +\end{lstlisting} +
    + +

    +

    +
    Type:
    +
    Synchronous. +
    +
    On Entry
    +
    +
    +
    x
    +
    global dense matrix $x$. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type +containing numbers of type specified in +Table 18. +
    +
    desc_a
    +
    contains data structures for communications. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type descdatapsb_desc_type. +
    +
    update
    +
    Update operator. +
    +
    update = psb_none_
    +
    Do nothing; +
    +
    update = psb_add_
    +
    Sum overlap entries, i.e. apply $P^T$; +
    +
    update = psb_avg_
    +
    Average overlap entries, i.e. apply $P_aP^T$; +
    +
    +Scope: global +
    +Intent: in. +
    +Default: +$update\_type = psb\_avg\_ $ +
    +Scope: global +
    +Specified as: a integer variable. +
    +
    work
    +
    the work array. +
    +Scope: local +
    +Type: optional +
    +Intent: inout. +
    +Specified as: a one dimensional array of the same type of $x$. + +

    +

    +
    On Return
    +
    +
    +
    x
    +
    global dense result matrix $x$. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: an array of rank one or two +containing numbers of type specified in +Table 18. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out.
    -Data management routines - +An integer value; 0 means no error has been detected. +
    +

    -

    - -Subsections - - - -
    +Notes + +
      +
    1. If there is no overlap in the data distribution associated with + the descriptor, no operations are performed; +
      2. +
    2. The operator $P^{T}$ performs the reduction sum of overlap +elements; it is a “prolongation” operator $P^T$ that +replicates overlap elements, accounting for the physical replication +of data; +
      3. +
    3. The operator $P_a$ performs a scaling on the overlap elements by +the amount of replication; thus, when combined with the reduction +operator, it implements the average of replicated elements over all of +their instances. +
      4. +
    + +

    + +

    + + + +
    Figure 8: +Sample discretization mesh.
    +
    +\includegraphics[scale=0.65]{figures/try8x8_ov.eps} + +\includegraphics[scale=0.65]{figures/try8x8_ov} + +
    +
    + +Example of use +Consider the discretization mesh depicted in fig. 8, +partitioned among two processes as shown by the dashed lines, with an +overlap of 1 extra layer with respect to the partition of +fig. 7; the data +distribution is such that each process will own 40 entries in the +index space, with an overlap of 16 entries placed at local indices 25 +through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries +in the $x$ vector, and process 1 assigns a value of 2, then after a +call to psb_ovrl with psb_avg_ and a call to +psb_halo_ the contents of the local vectors will be the +following (showing a transition among the two subdomains) + +

    +
    +

    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    +Process 0  +Process 1
    + I GLOB(I) X(I)   I GLOB(I) X(I)
    + 1 1 1.0   1 33 1.5
    + 2 2 1.0   2 34 1.5
    + 3 3 1.0   3 35 1.5
    + 4 4 1.0   4 36 1.5
    + 5 5 1.0   5 37 1.5
    + 6 6 1.0   6 38 1.5
    + 7 7 1.0   7 39 1.5
    + 8 8 1.0   8 40 1.5
    + 9 9 1.0   9 41 2.0
    + 10 10 1.0   10 42 2.0
    + 11 11 1.0   11 43 2.0
    + 12 12 1.0   12 44 2.0
    + 13 13 1.0   13 45 2.0
    + 14 14 1.0   14 46 2.0
    + 15 15 1.0   15 47 2.0
    + 16 16 1.0   16 48 2.0
    + 17 17 1.0   17 49 2.0
    + 18 18 1.0   18 50 2.0
    + 19 19 1.0   19 51 2.0
    + 20 20 1.0   20 52 2.0
    + 21 21 1.0   21 53 2.0
    + 22 22 1.0   22 54 2.0
    + 23 23 1.0   23 55 2.0
    + 24 24 1.0   24 56 2.0
    + 25 25 1.5   25 57 2.0
    + 26 26 1.5   26 58 2.0
    + 27 27 1.5   27 59 2.0
    + 28 28 1.5   28 60 2.0
    + 29 29 1.5   29 61 2.0
    + 30 30 1.5   30 62 2.0
    + 31 31 1.5   31 63 2.0
    + 32 32 1.5   32 64 2.0
    + 33 33 1.5   33 25 1.5
    + 34 34 1.5   34 26 1.5
    + 35 35 1.5   35 27 1.5
    + 36 36 1.5   36 28 1.5
    + 37 37 1.5   37 29 1.5
    + 38 38 1.5   38 30 1.5
    + 39 39 1.5   39 31 1.5
    + 40 40 1.5   40 32 1.5
    + 41 41 2.0   41 17 1.0
    + 42 42 2.0   42 18 1.0
    + 43 43 2.0   43 19 1.0
    + 44 44 2.0   44 20 1.0
    + 45 45 2.0   45 21 1.0
    + 46 46 2.0   46 22 1.0
    + 47 47 2.0   47 23 1.0
    + 48 48 2.0   48 24 1.0
    +
    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: psb_gather Gather + Up: Communication routines + Previous: psb_halo Halo +   Contents
    + diff --git a/docs/html/node72.html b/docs/html/node72.html index 6277372e..dbff365a 100644 --- a/docs/html/node72.html +++ b/docs/html/node72.html @@ -3,8 +3,8 @@ -psb_cdall -- Allocates a communication descriptor - +psb_gather -- Gather Global Dense Matrix + @@ -16,226 +16,215 @@ - +
    - next - + up - previous - contents
    - Next: psb_cdins Communication - Up: Data management routines - Previous: Data management routines -   Next: psb_scatter Scatter + Up: Communication routines + Previous: psb_ovrl Overlap +   Contents

    -

    -psb_cdall -- Allocates a communication descriptor +

    +psb_gather -- Gather Global Dense Matrix

    -

    -call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts)
-call psb_cdall(icontxt, desc_a, info,vg=vg,[mg=mg,flag=flag])
-call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx])
-call psb_cdall(icontxt, desc_a, info,nl=nl)
-call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)
-
    +These subroutines collect the portions of global dense matrix +distributed over all process into one single array stored on one +process.

    -This subroutine initializes the communication descriptor associated -with an index space. One of the optional arguments -parts, vg, vl, nl or repl -must be specified, thereby choosing -the specific initialization strategy. +

    +
    + + +\begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath} +
    +
    +

    +where:
    -
    On Entry
    -
    -
    -
    Type:
    -
    Synchronous. -
    -
    icontxt
    -
    the communication context. -
    -Scope:global. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer value. -
    -
    vg
    -
    Data allocation: each index $i\in \{1\dots mg\}$ is allocated - to process $vg(i)$. -
    -Scope:global. -
    -Type:optional. -
    -Intent: in. -
    -Specified as: an integer array. + WIDTH="90" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img81.png" + ALT="$glob\_x_{1:m,1:n}$">
    -
    flag
    -
    Specifies whether entries in $vg$ are zero- or one-based. -
    -Scope:global. -
    -Type:optional. -
    -Intent: in. -
    -Specified as: an integer value $0,1$, default $0$. - -

    -

    -
    mg
    -
    the (global) number of rows of the problem. -
    -Scope:global. -
    -Type:optional. -
    -Intent: in. -
    -Specified as: an integer value. It is required if parts or -repl is specified, it is optional if vg is specified. +
    $loc\_x_i$
    +
    is the local portion of global dense matrix on +process $i$.
    -
    parts
    -
    the subroutine that defines the partitioning scheme. -
    -Scope:global. -
    -Type:required. -
    -Specified as: a subroutine. +
    $collect$
    +
    is the collect function.
    -
    vl
    -
    Data allocation: the set of global indices - $vl(1:nl)$ belonging to the calling process. -
    -Scope:local. +
    + +

    +

    +
    + + + +
    Table 19: +Data types
    +
    + + + + + + + + + + + + + + + + + + + +
    $x_i, y$Subroutine
    Integerpsb_gather
    Short Precision Realpsb_gather
    Long Precision Realpsb_gather
    Short Precision Complexpsb_gather
    Long Precision Complexpsb_gather
    +
    +
    +


    -Type:optional. + +


    -Intent: in. +\begin{lstlisting} +call psb_gather(glob_x, loc_x, desc_a, info, root) +call psb_gather(glob_x, loc_x, desc_a, info, root) +\end{lstlisting}
    -Specified as: an integer array. + +

    +

    +
    Type:
    +
    Synchronous.
    -
    nl
    -
    Data allocation: in a generalized block-row distribution the - number of indices belonging to the current process. -
    -Scope:local. -
    -Type:optional. -
    -Intent: in. -
    -Specified as: an integer value. May be specified together with -vl. +
    On Entry
    +
    -
    repl
    -
    Data allocation: build a replicated index space - (i.e. all processes own all indices). +
    loc_x
    +
    the local portion of global dense matrix +$glob\_x$.
    -Scope:global. +Scope: local
    -Type:optional. +Type: required
    Intent: in.
    -Specified as: the logical value .true. +Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type +indicated in Table 19.
    -
    globalcheck
    -
    Data allocation: do global checks on the local - index lists vl +
    desc_a
    +
    contains data structures for communications.
    -Scope:global. +Scope: local
    -Type:optional. +Type: required
    Intent: in.
    -Specified as: a logical value, default: .false. +Specified as: a structured data of type descdatapsb_desc_type.
    -
    lidx
    -
    Data allocation: the set of local indices - $lidx(1:nl)$ to be assigned to the global indices $vl$. +
    root
    +
    The process that holds the global copy. If $root=-1$ all + the processes will have a copy of the global vector.
    -Scope:local. +Scope: global
    -Type:optional. +Type: optional
    Intent: in.
    -Specified as: an integer array. +Specified as: an integer variable +$-1\le root\le np-1$, default $-1$.
    -
    - -

    -

    On Return
    -
    desc_a
    -
    the communication descriptor. +
    glob_x
    +
    The array where the local parts must be gathered.
    -Scope:local. +Scope: global
    -Type:required. +Type: required
    Intent: out.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: a rank one or two array with the ALLOCATABLE attribute.
    info
    Error code. @@ -250,199 +239,30 @@ An integer value; 0 means no error has been detected.
    -

    -Notes - -

      -
    1. One of the optional arguments parts, vg, - vl, nl or repl must be specified, thereby choosing the - initialization strategy as follows: -
      -
      parts
      -
      In this case we have a subroutine specifying the mapping - between global indices and process/local index pairs. If this - optional argument is specified, then it is mandatory to - specify the argument mg as well. - The subroutine must conform to the following interface: -
      -  interface 
-     subroutine psb_parts(glob_index,mg,np,pv,nv)
-       integer, intent (in)  :: glob_index,np,mg
-       integer, intent (out) :: nv, pv(*)
-     end subroutine psb_parts
-  end interface
-
      - The input arguments are: -
      -
      glob_index
      -
      The global index to be mapped; - -
      -
      np
      -
      The number of processes in the mapping; - -
      -
      mg
      -
      The total number of global rows in the mapping; - -
      -
      - The output arguments are: -
      -
      nv
      -
      The number of entries in pv; - -
      -
      pv
      -
      A vector containing the indices of the processes to - which the global index should be assigend; each entry must satisfy - -$0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple - processes, i.e. we have an overlap among the subdomains. - -
      -
      -
      -
      vg
      -
      In this case the association between an index and a process - is specified via an integer vector vg(1:mg); - each index -$i\in \{1\dots mg\}$ is assigned to process $vg(i)$. - The vector vg must be identical on all - calling processes; its entries may have the ranges $(0\dots np-1)$ - or $(1\dots np)$ according to the value of flag. - The size $mg$ may be specified via the optional argument mg; - the default is to use the entire vector vg, thus having - mg=size(vg). -
      -
      vl
      -
      In this case we are specifying the list of indices - vl(1:nl) assigned to the current process; thus, the global - problem size $mg$ is given by - the range of the aggregate of the individual vectors vl specified - in the calling processes. The size may be specified via the optional - argument nl; the default is to use the entire vector - vl, thus having nl=size(vl). - If globalcheck=.true. the subroutine will check how many - times each entry in the global index space $(1\dots mg)$ is - specified in the input lists vl, thus allowing for the - presence of overlap in the input, and checking for “orphan” - indices. If globalcheck=.false., the subroutine will not - check for overlap, and may be significantly faster, but the user - is implicitly guaranteeing that there are neither orphan nor - overlap indices. -
      -
      lidx
      -
      The optional argument lidx is available for - those cases in which the user has already established a - global-to-local mapping; if it is specified, each index in - vl(i) will be mapped to the corresponding local index - lidx(i). When specifying the argument lidx the user - would also likely employ lidx in calls to psb_cdins - and local in calls to psb_spins and psb_geins; - see also sec. 2.3.1. -
      -
      nl
      -
      If this argument is specified alone (i.e. without vl) - the result is a generalized row-block distribution in which each - process $I$ gets assigned a consecutive chunk of $N_I=nl$ global - indices. -
      -
      repl
      -
      This arguments specifies to replicate all indices on - all processes. This is a special purpose data allocation that is - useful in the construction of some multilevel preconditioners. -
      -
      -
      2. -
    2. On exit from this routine the descriptor is in the build - state. -
      3. -
    3. Calling the routine with vg or parts implies that - every process will scan the entire index space to figure out the - local indices. -
      4. -
    4. Overlapped indices are possible with both parts and - vl invocations. -
      5. -
    5. When the subroutine is invoked with vl in - conjunction with globalcheck=.true., it will perform a scan - of the index space to search for overlap or orphan indices. -
      6. -
    6. When the subroutine is invoked with vl in - conjunction with globalcheck=.false., no index space scan - will take place. Thus it is the responsibility of the user to make - sure that the indices specified in vl have neither orphans nor - overlaps; if this assumption fails, results will be - unpredictable. -
      7. -
    7. Orphan and overlap indices are - impossible by construction when the subroutine is invoked with - nl (alone), or vg. -
      8. -
    -

    - next - + up - previous - contents
    - Next: psb_cdins Communication - Up: Data management routines - Previous: Data management routines -   Next: psb_scatter Scatter + Up: Communication routines + Previous: psb_ovrl Overlap +   Contents
    diff --git a/docs/html/node73.html b/docs/html/node73.html index 364e18a0..924e3506 100644 --- a/docs/html/node73.html +++ b/docs/html/node73.html @@ -3,8 +3,8 @@ -psb_cdins -- Communication descriptor insert routine - +psb_scatter -- Scatter Global Dense Matrix + @@ -14,133 +14,196 @@ - - +
    - next - + up - previous - contents
    - Next: psb_cdasb Communication - Up: Data management routines - Previous: psb_cdall Allocates -   Next: Data management routines + Up: Communication routines + Previous: psb_gather Gather +   Contents

    -

    -psb_cdins -- Communication descriptor insert - routine +

    +psb_scatter -- Scatter Global Dense Matrix

    -

    -call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla])
-call psb_cdins(nz,ja,desc,info[,jla,mask,lidx])
-
    +These subroutines scatters the portions of global dense matrix owned +by a process to all the processes in the processes grid.

    -This subroutine examines the edges of the graph associated with the -discretization mesh (and isomorphic to the sparsity pattern of a -linear system coefficient matrix), storing them as necessary into the -communication descriptor. In the first form the edges are specified as -pairs of indices $ia(i),ja(i)$; the starting index $ia(i)$ should -belong to the current process. -In the second form only the remote indices $ja(i)$ are specified. +

    +
    + -

    +\begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath} +

    +
    +

    +where:
    -
    Type:
    -
    Asynchronous. +
    $glob\_x$
    +
    is the global matrix +$glob\_x_{1:m,1:n}$
    -
    On Entry
    -
    +
    $loc\_x_i$
    +
    is the local portion of global dense matrix on +process $i$.
    -
    nz
    -
    the number of points being inserted. -
    -Scope: local. +
    $scatter$
    +
    is the scatter function. +
    +
    + +

    +

    +
    + + + +
    Table 20: +Data types
    +
    + + + + + + + + + + + + + + + + + + + +
    $x_i, y$Subroutine
    Integerpsb_scatter
    Short Precision Realpsb_scatter
    Long Precision Realpsb_scatter
    Short Precision Complexpsb_scatter
    Long Precision Complexpsb_scatter
    +
    +
    +


    -Type: required. + +


    -Intent: in. +\begin{lstlisting} +call psb_scatter(glob_x, loc_x, desc_a, info, root, mold) +\end{lstlisting}
    -Specified as: an integer value. + +

    +

    +
    Type:
    +
    Synchronous. +
    +
    On Entry
    +
    -
    ia
    -
    the indices of the starting vertex of the edges being inserted. +
    glob_x
    +
    The array that must be scattered into local pieces.
    -Scope: local. +Scope: global
    -Type: required. +Type: required
    Intent: in.
    -Specified as: an integer array of length $nz$. +Specified as: a rank one or two array.
    -
    ja
    -
    the indices of the end vertex of the edges being inserted. +
    desc_a
    +
    contains data structures for communications.
    -Scope: local. +Scope: local
    -Type: required. +Type: required
    Intent: in.
    -Specified as: an integer array of length $nz$. +Specified as: a structured data of type descdatapsb_desc_type.
    -
    mask
    -
    Mask entries in ja, they are inserted only when the - corresponding mask entries are .true. +
    root
    +
    The process that holds the global copy. If $root=-1$ all + the processes have a copy of the global vector.
    -Scope: local. +Scope: global
    -Type: optional. +Type: optional
    Intent: in.
    -Specified as: a logical array of length $nz$, default .true.. +Specified as: an integer variable +$-1\le root\le np-1$, default +psb_root_, i.e. process 0.
    -
    lidx
    -
    User defined local indices for ja. +
    mold
    +
    The desired dynamic type for the internal vector storage.
    Scope: local.
    @@ -148,28 +211,27 @@ Type: optional.
    Intent: in.
    -Specified as: an integer array of length $nz$. +Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is +only allowed when loc_x is of type vdatapsb_T_vect_type.
    -
    - -

    -

    On Return
    -
    desc_a
    -
    the updated communication descriptor. +
    loc_x
    +
    the local portion of global dense matrix +$glob\_x$.
    -Scope:local. +Scope: local
    -Type:required. +Type: required
    -Intent: inout. +Intent: out.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: a rank one or two ALLOCATABLE array or an object of type vdatapsb_T_vect_type containing numbers of the type +indicated in Table 20.
    info
    Error code. @@ -182,76 +244,32 @@ Intent: out.
    An integer value; 0 means no error has been detected.
    -
    ila
    -
    the local indices of the starting vertex of the edges being inserted. -
    -Scope: local. -
    -Type: optional. -
    -Intent: out. -
    -Specified as: an integer array of length $nz$. -
    -
    jla
    -
    the local indices of the end vertex of the edges being inserted. -
    -Scope: local. -
    -Type: optional. -
    -Intent: out. -
    -Specified as: an integer array of length $nz$. - -

    -

    -Notes - -
      -
    1. This routine may only be called if the descriptor is in the - build state; -
      2. -
    2. This routine automatically ignores edges that do not -insist on the current process, i.e. edges for which neither the starting -nor the end vertex belong to the current process. -
      3. -
    3. The second form of this routine will be useful when dealing with - user-specified index mappings; see also 2.3.1. -
      4. -

    - next - + up - previous - contents
    - Next: psb_cdasb Communication - Up: Data management routines - Previous: psb_cdall Allocates -   Next: Data management routines + Up: Communication routines + Previous: psb_gather Gather +   Contents
    diff --git a/docs/html/node74.html b/docs/html/node74.html index dce0fc24..4d97a7eb 100644 --- a/docs/html/node74.html +++ b/docs/html/node74.html @@ -3,8 +3,8 @@ -psb_cdasb -- Communication descriptor assembly routine - +Data management routines + @@ -14,119 +14,119 @@ - - - + + +
    - next - + up - previous - contents
    - Next: psb_cdcpy Copies - Up: Data management routines - Previous: psb_cdins Communication -   Next: psb_cdall Allocates + Up: userhtml + Previous: psb_scatter Scatter +   Contents

    -

    -psb_cdasb -- Communication descriptor assembly - routine -

    - -

    -

    -call psb_cdasb(desc_a, info [, mold])
-
    - -

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    desc_a
    -
    the communication descriptor. -
    -Scope:local. -
    -Type:required. -
    -Intent: inout. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    mold
    -
    The desired dynamic type for the internal index storage. -
    -Scope: local. -
    -Type: optional. -
    -Intent: in. +

    +
    -Specified as: a object of type derived from (integer) vbasedatapsb_T_base_vect_type. -

    -
    +Data management routines +

    -

    -
    On Return
    -
    -
    -
    desc_a
    -
    the communication descriptor. -
    -Scope:local. -
    -Type:required. -
    -Intent: inout. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    -Notes - -
      -
    1. On exit from this routine the descriptor is in the assembled - state. -
      2. -
    +
    + +Subsections -

    +

    +
    diff --git a/docs/html/node75.html b/docs/html/node75.html index 508603a4..dc27405d 100644 --- a/docs/html/node75.html +++ b/docs/html/node75.html @@ -3,8 +3,8 @@ -psb_cdcpy -- Copies a communication descriptor - +psb_cdall -- Allocates a communication descriptor + @@ -16,68 +16,209 @@ - +
    - next - + up - previous - contents
    - Next: psb_cdfree Frees - Up: Data management routines - Previous: psb_cdasb Communication -   Next: psb_cdins Communication + Up: Data management routines + Previous: Data management routines +   Contents

    -

    -psb_cdcpy -- Copies a communication descriptor +

    +psb_cdall -- Allocates a communication descriptor 

    -call psb_cdcpy(desc_in, desc_out, info)
+call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts)
+call psb_cdall(icontxt, desc_a, info,vg=vg,[mg=mg,flag=flag])
+call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx])
+call psb_cdall(icontxt, desc_a, info,nl=nl)
+call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)

    +This subroutine initializes the communication descriptor associated +with an index space. One of the optional arguments +parts, vg, vl, nl or repl +must be specified, thereby choosing +the specific initialization strategy.

    -
    Type:
    -
    Asynchronous. -
    -
    On Entry
    +
    On Entry
    -
    desc_in
    -
    the communication descriptor. +
    Type:
    +
    Synchronous. +
    +
    icontxt
    +
    the communication context.
    -Scope:local. +Scope:global.
    Type:required.
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: an integer value. +
    +
    vg
    +
    Data allocation: each index +$i\in \{1\dots mg\}$ is allocated + to process $vg(i)$. +
    +Scope:global. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: an integer array. +
    +
    flag
    +
    Specifies whether entries in $vg$ are zero- or one-based. +
    +Scope:global. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: an integer value $0,1$, default $0$.

    +
    mg
    +
    the (global) number of rows of the problem. +
    +Scope:global. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: an integer value. It is required if parts or +repl is specified, it is optional if vg is specified. +
    +
    parts
    +
    the subroutine that defines the partitioning scheme. +
    +Scope:global. +
    +Type:required. +
    +Specified as: a subroutine. +
    +
    vl
    +
    Data allocation: the set of global indices + $vl(1:nl)$ belonging to the calling process. +
    +Scope:local. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: an integer array. +
    +
    nl
    +
    Data allocation: in a generalized block-row distribution the + number of indices belonging to the current process. +
    +Scope:local. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: an integer value. May be specified together with +vl. +
    +
    repl
    +
    Data allocation: build a replicated index space + (i.e. all processes own all indices). +
    +Scope:global. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: the logical value .true. +
    +
    globalcheck
    +
    Data allocation: do global checks on the local + index lists vl +
    +Scope:global. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: a logical value, default: .false. +
    +
    lidx
    +
    Data allocation: the set of local indices + $lidx(1:nl)$ to be assigned to the global indices $vl$. +
    +Scope:local. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: an integer array. +

    @@ -85,8 +226,8 @@ Specified as: a structured data of type descdatapsb_desc_type.

    On Return
    -
    desc_out
    -
    the communication descriptor copy. +
    desc_a
    +
    the communication descriptor.
    Scope:local.
    @@ -110,7 +251,200 @@ An integer value; 0 means no error has been detected.

    -

    +Notes + +
      +
    1. One of the optional arguments parts, vg, + vl, nl or repl must be specified, thereby choosing the + initialization strategy as follows: +
      +
      parts
      +
      In this case we have a subroutine specifying the mapping + between global indices and process/local index pairs. If this + optional argument is specified, then it is mandatory to + specify the argument mg as well. + The subroutine must conform to the following interface: +
      +  interface 
+     subroutine psb_parts(glob_index,mg,np,pv,nv)
+       integer, intent (in)  :: glob_index,np,mg
+       integer, intent (out) :: nv, pv(*)
+     end subroutine psb_parts
+  end interface
+
      + The input arguments are: +
      +
      glob_index
      +
      The global index to be mapped; + +
      +
      np
      +
      The number of processes in the mapping; + +
      +
      mg
      +
      The total number of global rows in the mapping; + +
      +
      + The output arguments are: +
      +
      nv
      +
      The number of entries in pv; + +
      +
      pv
      +
      A vector containing the indices of the processes to + which the global index should be assigend; each entry must satisfy + +$0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple + processes, i.e. we have an overlap among the subdomains. + +
      +
      +
      +
      vg
      +
      In this case the association between an index and a process + is specified via an integer vector vg(1:mg); + each index +$i\in \{1\dots mg\}$ is assigned to process $vg(i)$. + The vector vg must be identical on all + calling processes; its entries may have the ranges $(0\dots np-1)$ + or $(1\dots np)$ according to the value of flag. + The size $mg$ may be specified via the optional argument mg; + the default is to use the entire vector vg, thus having + mg=size(vg). +
      +
      vl
      +
      In this case we are specifying the list of indices + vl(1:nl) assigned to the current process; thus, the global + problem size $mg$ is given by + the range of the aggregate of the individual vectors vl specified + in the calling processes. The size may be specified via the optional + argument nl; the default is to use the entire vector + vl, thus having nl=size(vl). + If globalcheck=.true. the subroutine will check how many + times each entry in the global index space $(1\dots mg)$ is + specified in the input lists vl, thus allowing for the + presence of overlap in the input, and checking for “orphan” + indices. If globalcheck=.false., the subroutine will not + check for overlap, and may be significantly faster, but the user + is implicitly guaranteeing that there are neither orphan nor + overlap indices. +
      +
      lidx
      +
      The optional argument lidx is available for + those cases in which the user has already established a + global-to-local mapping; if it is specified, each index in + vl(i) will be mapped to the corresponding local index + lidx(i). When specifying the argument lidx the user + would also likely employ lidx in calls to psb_cdins + and local in calls to psb_spins and psb_geins; + see also sec. 2.3.1. +
      +
      nl
      +
      If this argument is specified alone (i.e. without vl) + the result is a generalized row-block distribution in which each + process $I$ gets assigned a consecutive chunk of $N_I=nl$ global + indices. +
      +
      repl
      +
      This arguments specifies to replicate all indices on + all processes. This is a special purpose data allocation that is + useful in the construction of some multilevel preconditioners. +
      +
      +
      2. +
    2. On exit from this routine the descriptor is in the build + state. +
      3. +
    3. Calling the routine with vg or parts implies that + every process will scan the entire index space to figure out the + local indices. +
      4. +
    4. Overlapped indices are possible with both parts and + vl invocations. +
      5. +
    5. When the subroutine is invoked with vl in + conjunction with globalcheck=.true., it will perform a scan + of the index space to search for overlap or orphan indices. +
      6. +
    6. When the subroutine is invoked with vl in + conjunction with globalcheck=.false., no index space scan + will take place. Thus it is the responsibility of the user to make + sure that the indices specified in vl have neither orphans nor + overlaps; if this assumption fails, results will be + unpredictable. +
      7. +
    7. Orphan and overlap indices are + impossible by construction when the subroutine is invoked with + nl (alone), or vg. +
      8. +
    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: psb_cdins Communication + Up: Data management routines + Previous: Data management routines +   Contents
    + diff --git a/docs/html/node76.html b/docs/html/node76.html index 6a43fb9f..46ac9253 100644 --- a/docs/html/node76.html +++ b/docs/html/node76.html @@ -3,8 +3,8 @@ -psb_cdfree -- Frees a communication descriptor - +psb_cdins -- Communication descriptor insert routine + @@ -16,65 +16,142 @@ - +
    - next - + up - previous - contents
    - Next: psb_cdbldext Build - Up: Data management routines - Previous: psb_cdcpy Copies -   Next: psb_cdasb Communication + Up: Data management routines + Previous: psb_cdall Allocates +   Contents

    -

    -psb_cdfree -- Frees a communication descriptor +

    +psb_cdins -- Communication descriptor insert + routine 

    -call psb_cdfree(desc_a, info)
+call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla])
+call psb_cdins(nz,ja,desc,info[,jla,mask,lidx])
    +

    +This subroutine examines the edges of the graph associated with the +discretization mesh (and isomorphic to the sparsity pattern of a +linear system coefficient matrix), storing them as necessary into the +communication descriptor. In the first form the edges are specified as +pairs of indices $ia(i),ja(i)$; the starting index $ia(i)$ should +belong to the current process. +In the second form only the remote indices $ja(i)$ are specified. +

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    desc_a
    -
    the communication descriptor to be freed. +
    nz
    +
    the number of points being inserted.
    -Scope:local. +Scope: local.
    -Type:required. +Type: required.
    -Intent: inout. +Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: an integer value. +
    +
    ia
    +
    the indices of the starting vertex of the edges being inserted. +
    +Scope: local. +
    +Type: required. +
    +Intent: in. +
    +Specified as: an integer array of length $nz$. +
    +
    ja
    +
    the indices of the end vertex of the edges being inserted. +
    +Scope: local. +
    +Type: required. +
    +Intent: in. +
    +Specified as: an integer array of length $nz$. +
    +
    mask
    +
    Mask entries in ja, they are inserted only when the + corresponding mask entries are .true. +
    +Scope: local. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: a logical array of length $nz$, default .true.. +
    +
    lidx
    +
    User defined local indices for ja. +
    +Scope: local. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an integer array of length $nz$.
    @@ -83,6 +160,17 @@ Specified as: a structured data of type descdatapsb_desc_type.
    On Return
    +
    desc_a
    +
    the updated communication descriptor. +
    +Scope:local. +
    +Type:required. +
    +Intent: inout. +
    +Specified as: a structured data of type descdatapsb_desc_type. +
    info
    Error code.
    @@ -94,10 +182,78 @@ Intent: out.
    An integer value; 0 means no error has been detected.
    +
    ila
    +
    the local indices of the starting vertex of the edges being inserted. +
    +Scope: local. +
    +Type: optional. +
    +Intent: out. +
    +Specified as: an integer array of length $nz$. +
    +
    jla
    +
    the local indices of the end vertex of the edges being inserted. +
    +Scope: local. +
    +Type: optional. +
    +Intent: out. +
    +Specified as: an integer array of length $nz$. + +

    +

    +Notes + +
      +
    1. This routine may only be called if the descriptor is in the + build state; +
      2. +
    2. This routine automatically ignores edges that do not +insist on the current process, i.e. edges for which neither the starting +nor the end vertex belong to the current process. +
      3. +
    3. The second form of this routine will be useful when dealing with + user-specified index mappings; see also 2.3.1. +
      4. +

    -

    + +
    + + +next + +up + +previous + +contents +
    + Next: psb_cdasb Communication + Up: Data management routines + Previous: psb_cdall Allocates +   Contents
    + diff --git a/docs/html/node77.html b/docs/html/node77.html index 9716704a..507c1f1c 100644 --- a/docs/html/node77.html +++ b/docs/html/node77.html @@ -3,8 +3,8 @@ -psb_cdbldext -- Build an extended communication descriptor - +psb_cdasb -- Communication descriptor assembly routine + @@ -16,52 +16,49 @@ - +
    - next - + up - previous - contents
    - Next: psb_spall Allocates - Up: Data management routines - Previous: psb_cdfree Frees -   Next: psb_cdcpy Copies + Up: Data management routines + Previous: psb_cdins Communication +   Contents

    -

    -psb_cdbldext -- Build an extended communication - descriptor +

    +psb_cdasb -- Communication descriptor assembly + routine 

    -call psb_cdbldext(a,desc_a,nl,desc_out, info, extype)
+call psb_cdasb(desc_a, info [, mold])

    -This subroutine builds an extended communication descriptor, based on -the input descriptor desc_a and on the stencil specified -through the input sparse matrix a.

    Type:
    Synchronous. @@ -69,16 +66,6 @@ through the input sparse matrix a.
    On Entry
    -
    a
    -
    A sparse matrix -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: a structured data type. -
    desc_a
    the communication descriptor.
    @@ -86,37 +73,20 @@ Scope:local.
    Type:required.
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    nl
    -
    the number of additional layers desired. -
    -Scope:global. -
    -Type:required. -
    -Intent: in. +Intent: inout.
    -Specified as: an integer value $nl\ge 0$. +Specified as: a structured data of type descdatapsb_desc_type.
    -
    extype
    -
    the kind of estension required. +
    mold
    +
    The desired dynamic type for the internal index storage.
    -Scope:global. +Scope: local.
    -Type:optional . +Type: optional.
    Intent: in.
    -Specified as: an integer value -psb_ovt_xhal_, psb_ovt_asov_, default: psb_ovt_xhal_ - -

    +Specified as: a object of type derived from (integer) vbasedatapsb_T_base_vect_type.

    @@ -125,8 +95,8 @@ Specified as: an integer value
    On Return
    -
    desc_out
    -
    the extended communication descriptor. +
    desc_a
    +
    the communication descriptor.
    Scope:local.
    @@ -148,51 +118,16 @@ Intent: out. An integer value; 0 means no error has been detected.
    - -

    Notes

      -
    1. Specifying psb_ovt_xhal_ for the extype argument - the user will obtain a descriptor for a domain partition in which - the additional layers are fetched as part of an (extended) halo; - however the index-to-process mapping is identical to that of the - base descriptor; -
      2. -
    2. Specifying psb_ovt_asov_ for the extype argument - the user will obtain a descriptor with an overlapped decomposition: - the additional layer is aggregated to the local subdomain (and thus - is an overlap), and a new halo extending beyond the last additional - layer is formed. +
    3. On exit from this routine the descriptor is in the assembled + state.

    - -

    - - -next - -up - -previous - -contents -
    - Next: psb_spall Allocates - Up: Data management routines - Previous: psb_cdfree Frees -   Contents
    - +
    diff --git a/docs/html/node78.html b/docs/html/node78.html index 42ebd801..4319c067 100644 --- a/docs/html/node78.html +++ b/docs/html/node78.html @@ -3,8 +3,8 @@ -psb_spall -- Allocates a sparse matrix - +psb_cdcpy -- Copies a communication descriptor + @@ -16,56 +16,56 @@ - +
    - next - + up - previous - contents
    - Next: psb_spins Insert - Up: Data management routines - Previous: psb_cdbldext Build -   Next: psb_cdfree Frees + Up: Data management routines + Previous: psb_cdasb Communication +   Contents

    -

    -psb_spall -- Allocates a sparse matrix +

    +psb_cdcpy -- Copies a communication descriptor 

    -call psb_spall(a, desc_a, info, nnz)
+call psb_cdcpy(desc_in, desc_out, info)

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    desc_a
    +
    desc_in
    the communication descriptor.
    Scope:local. @@ -75,18 +75,8 @@ Type:required. Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type. -
    -
    nnz
    -
    An estimate of the number of nonzeroes in the local - part of the assembled matrix. -
    -Scope: global. -
    -Type: optional. -
    -Intent: in. -
    -Specified as: an integer value. + +

    @@ -95,16 +85,16 @@ Specified as: an integer value.
    On Return
    -
    a
    -
    the matrix to be allocated. +
    desc_out
    +
    the communication descriptor copy.
    -Scope:local +Scope:local.
    -Type:required +Type:required.
    Intent: out.
    -Specified as: a structured data of type spdatapsb_Tspmat_type. +Specified as: a structured data of type descdatapsb_desc_type.
    info
    Error code. @@ -118,23 +108,6 @@ Intent: out. An integer value; 0 means no error has been detected.
    -Notes - -
      -
    1. On exit from this routine the sparse matrix is in the build - state. -
      2. -
    2. The descriptor may be in either the build or assembled state. -
      3. -
    3. Providing a good estimate for the number of nonzeroes $nnz$ in - the assembled matrix may substantially improve performance in the - matrix build phase, as it will reduce or eliminate the need for - (potentially multiple) data reallocations. -
      4. -


    diff --git a/docs/html/node79.html b/docs/html/node79.html index 562a80b0..17081ee5 100644 --- a/docs/html/node79.html +++ b/docs/html/node79.html @@ -3,8 +3,8 @@ -psb_spins -- Insert a set of coefficients into a sparse matrix - +psb_cdfree -- Frees a communication descriptor + @@ -16,169 +16,65 @@ - +
    - next - + up - previous - contents
    - Next: psb_spasb Sparse - Up: Data management routines - Previous: psb_spall Allocates -   Next: psb_cdbldext Build + Up: Data management routines + Previous: psb_cdcpy Copies +   Contents

    -

    -psb_spins -- Insert a set of coefficients into a sparse - matrix +

    +psb_cdfree -- Frees a communication descriptor 

    -call psb_spins(nz, ia, ja, val, a, desc_a, info [,local])
-call psb_spins(nr, irw, irp, ja, val, a, desc_a, info [,local])
+call psb_cdfree(desc_a, info)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    nz
    -
    the number of coefficients to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer scalar. -
    -
    nr
    -
    the number of rows to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer scalar. -
    -
    irw
    -
    the first row to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer scalar. -
    -
    ia
    -
    the row indices of the coefficients to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer array of size $nz$. -
    -
    irp
    -
    the row pointers of the coefficients to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer array of size . -
    -
    ja
    -
    the column indices of the coefficients to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer array of size $nz$. -
    -
    val
    -
    the coefficients to be inserted. +
    desc_a
    +
    the communication descriptor to be freed.
    Scope:local.
    Type:required.
    -Intent: in. -
    -Specified as: an array of size $nz$. Must be of the same type and kind -of the coefficients of the sparse matrix $a$. -
    -
    desc_a
    -
    The communication descriptor. -
    -Scope: local. -
    -Type: required. -
    Intent: inout.
    -Specified as: a variable of type descdatapsb_desc_type. -
    -
    local
    -
    Whether the entries in the indices vectors ia, - ja are already in local numbering. -
    -Scope:local. -
    -Type:optional. -
    -Specified as: a logical value; default: .false.. - -

    +Specified as: a structured data of type descdatapsb_desc_type.

    @@ -187,28 +83,6 @@ Specified as: a logical value; default: .false..
    On Return
    -
    a
    -
    the matrix into which coefficients will be inserted. -
    -Scope:local -
    -Type:required -
    -Intent: inout. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    desc_a
    -
    The communication descriptor. -
    -Scope: local. -
    -Type: required. -
    -Intent: inout. -
    -Specified as: a variable of type descdatapsb_desc_type. -
    info
    Error code.
    @@ -223,98 +97,7 @@ An integer value; 0 means no error has been detected.

    -Notes - -

      -
    1. On entry to this routine the descriptor may be in either the - build or assembled state. -
      2. -
    2. On entry to this routine the sparse matrix may be in either the - build or update state. -
      3. -
    3. If the descriptor is in the build state, then the sparse matrix - must also be in the build state; the action of the routine is to - (implicitly) call psb_cdins to add entries to the sparsity - pattern; each sparse matrix entry implicitly defines a graph edge, - that is passed to the descriptor routine for the appropriate - processing; -
      4. -
    4. The input data can be passed in either COO or CSR formats; -
      5. -
    5. In COO format the coefficients to be inserted are represented by - the ordered triples -$ia(i),ja(i),val(i)$, for $i=1,\dots,nz$; - these triples should belong to the current process, i.e. $ia(i)$ - should be one of the local indices, but are otherwise arbitrary; -
      6. -
    6. In CSR format the coefficients to be inserted for each input row - are represented by the ordered triples -, for - -; - these triples should belong to the current process, i.e. - should be one of the local indices, but are otherwise arbitrary; -
      7. -
    7. There is no requirement that a given row must be passed in its - entirety to a single call to this routine: the buildup of a row - may be split into as many calls as desired (even in the CSR format); -
      8. -
    8. Coefficients from different rows may also be mixed up freely - in a single call, according to the application needs; -
      9. -
    9. Any coefficients from matrix rows not owned by the calling - process are silently ignored; -
      10. -
    10. If the descriptor is in the assembled state, then any entries in - the sparse matrix that would generate additional communication - requirements are ignored; -
      11. -
    11. If the matrix is in the update state, any entries in positions - that were not present in the original matrix are ignored. -
      12. -
    - -

    - -

    - - -next - -up - -previous - -contents -
    - Next: psb_spasb Sparse - Up: Data management routines - Previous: psb_spall Allocates -   Contents
    - +
    diff --git a/docs/html/node8.html b/docs/html/node8.html index df750f2a..6501ef05 100644 --- a/docs/html/node8.html +++ b/docs/html/node8.html @@ -22,26 +22,26 @@
    - next - up - previous - contents
    - Next: Next: Data Structures and Classes - Up: Up: General overview - Previous: Previous: User-defined index mappings -   Contents

    @@ -94,26 +94,26 @@ as:
    - next - up - previous - contents
    - Next: Next: Data Structures and Classes - Up: Up: General overview - Previous: Previous: User-defined index mappings -   Contents
    diff --git a/docs/html/node80.html b/docs/html/node80.html index 295e944c..346afbdd 100644 --- a/docs/html/node80.html +++ b/docs/html/node80.html @@ -3,8 +3,8 @@ -psb_spasb -- Sparse matrix assembly routine - +psb_cdbldext -- Build an extended communication descriptor + @@ -16,48 +16,52 @@ - +
    - next - + up - previous - contents
    - Next: psb_spfree Frees - Up: Data management routines - Previous: psb_spins Insert -   Next: psb_spall Allocates + Up: Data management routines + Previous: psb_cdfree Frees +   Contents

    -

    -psb_spasb -- Sparse matrix assembly routine +

    +psb_cdbldext -- Build an extended communication + descriptor 

    -call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
+call psb_cdbldext(a,desc_a,nl,desc_out, info, extype)

    +This subroutine builds an extended communication descriptor, based on +the input descriptor desc_a and on the stencil specified +through the input sparse matrix a.

    Type:
    Synchronous. @@ -65,61 +69,54 @@ call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
    On Entry
    -
    desc_a
    -
    the communication descriptor. -
    +
    a
    +
    A sparse matrix Scope:local.
    Type:required.
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    afmt
    -
    the storage format for the sparse matrix. -
    -Scope: local. -
    -Type: optional. -
    -Intent: in. -
    -Specified as: an array of characters. Defalt: 'CSR'. +Specified as: a structured data type.
    -
    upd
    -
    Provide for updates to the matrix coefficients. +
    desc_a
    +
    the communication descriptor.
    -Scope: global. +Scope:local.
    -Type: optional. +Type:required.
    Intent: in.
    -Specified as: integer, possible values: psb_upd_srch_, psb_upd_perm_ +Specified as: a structured data of type spdatapsb_Tspmat_type.
    -
    dupl
    -
    How to handle duplicate coefficients. +
    nl
    +
    the number of additional layers desired.
    -Scope: global. +Scope:global.
    -Type: optional. +Type:required.
    Intent: in.
    -Specified as: integer, possible values: psb_dupl_ovwrt_, -psb_dupl_add_, psb_dupl_err_. +Specified as: an integer value $nl\ge 0$.
    -
    mold
    -
    The desired dynamic type for the internal matrix storage. +
    extype
    +
    the kind of estension required.
    -Scope: local. +Scope:global.
    -Type: optional. +Type:optional .
    Intent: in.
    -Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. +Specified as: an integer value +psb_ovt_xhal_, psb_ovt_asov_, default: psb_ovt_xhal_ + +

    @@ -128,16 +125,16 @@ Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_
    On Return
    -
    a
    -
    the matrix to be assembled. +
    desc_out
    +
    the extended communication descriptor.
    -Scope:local +Scope:local.
    -Type:required +Type:required.
    Intent: inout.
    -Specified as: a structured data of type spdatapsb_Tspmat_type. +Specified as: a structured data of type descdatapsb_desc_type.
    info
    Error code. @@ -156,25 +153,17 @@ An integer value; 0 means no error has been detected. Notes
      -
    1. On entry to this routine the descriptor must be in the - assembled state, i.e. psb_cdasb must already have been called. -
      2. -
    2. The sparse matrix may be in either the build or update state; -
      3. -
    3. Duplicate entries are detected and handled in both build and - update state, with the exception of the error action that is only - taken in the build state, i.e. on the first assembly; -
      4. -
    4. If the update choice is psb_upd_perm_, then subsequent - calls to psb_spins to update the matrix must be arranged in - such a way as to produce exactly the same sequence of coefficient - values as encountered at the first assembly; -
      5. -
    5. The output storage format need not be the same on all - processes; +
    6. Specifying psb_ovt_xhal_ for the extype argument + the user will obtain a descriptor for a domain partition in which + the additional layers are fetched as part of an (extended) halo; + however the index-to-process mapping is identical to that of the + base descriptor;
      7. -
    7. On exit from this routine the matrix is in the assembled state, - and thus is suitable for the computational routines. +
    8. Specifying psb_ovt_asov_ for the extype argument + the user will obtain a descriptor with an overlapped decomposition: + the additional layer is aggregated to the local subdomain (and thus + is an overlap), and a new halo extending beyond the last additional + layer is formed.
    @@ -182,26 +171,26 @@ An integer value; 0 means no error has been detected.
    - next - + up - previous - contents
    - Next: psb_spfree Frees - Up: Data management routines - Previous: psb_spins Insert -   Next: psb_spall Allocates + Up: Data management routines + Previous: psb_cdfree Frees +   Contents
    diff --git a/docs/html/node81.html b/docs/html/node81.html index 7320ea14..8480c728 100644 --- a/docs/html/node81.html +++ b/docs/html/node81.html @@ -3,8 +3,8 @@ -psb_spfree -- Frees a sparse matrix - +psb_spall -- Allocates a sparse matrix + @@ -16,45 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: psb_sprn Reinit - Up: Data management routines - Previous: psb_spasb Sparse -   Next: psb_spins Insert + Up: Data management routines + Previous: psb_cdbldext Build +   Contents

    -

    -psb_spfree -- Frees a sparse matrix +

    +psb_spall -- Allocates a sparse matrix 

    -call psb_spfree(a, desc_a, info)
+call psb_spall(a, desc_a, info, nnz)

    @@ -65,17 +65,6 @@ call psb_spfree(a, desc_a, info)

    On Entry
    -
    a
    -
    the matrix to be freed. -
    -Scope:local -
    -Type:required -
    -Intent: inout. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    desc_a
    the communication descriptor.
    @@ -87,6 +76,18 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    +
    nnz
    +
    An estimate of the number of nonzeroes in the local + part of the assembled matrix. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an integer value. +

    @@ -94,6 +95,17 @@ Specified as: a structured data of type descdatapsb_desc_type.

    On Return
    +
    a
    +
    the matrix to be allocated. +
    +Scope:local +
    +Type:required +
    +Intent: out. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    info
    Error code.
    @@ -106,6 +118,23 @@ Intent: out. An integer value; 0 means no error has been detected.
    +Notes + +
      +
    1. On exit from this routine the sparse matrix is in the build + state. +
      2. +
    2. The descriptor may be in either the build or assembled state. +
      3. +
    3. Providing a good estimate for the number of nonzeroes $nnz$ in + the assembled matrix may substantially improve performance in the + matrix build phase, as it will reduce or eliminate the need for + (potentially multiple) data reallocations. +
      4. +


    diff --git a/docs/html/node82.html b/docs/html/node82.html index e966ada4..fb0084f4 100644 --- a/docs/html/node82.html +++ b/docs/html/node82.html @@ -3,8 +3,8 @@ -psb_sprn -- Reinit sparse matrix structure for psblas routines. - +psb_spins -- Insert a set of coefficients into a sparse matrix + @@ -16,69 +16,70 @@ - +
    - next - + up - previous - contents
    - Next: psb_geall Allocates - Up: Data management routines - Previous: psb_spfree Frees -   Next: psb_spasb Sparse + Up: Data management routines + Previous: psb_spall Allocates +   Contents

    -

    -psb_sprn -- Reinit sparse matrix structure for psblas - routines. +

    +psb_spins -- Insert a set of coefficients into a sparse + matrix 

    -call psb_sprn(a, decsc_a, info, clear)
+call psb_spins(nz, ia, ja, val, a, desc_a, info [,local])
+call psb_spins(nr, irw, irp, ja, val, a, desc_a, info [,local])

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    a
    -
    the matrix to be reinitialized. +
    nz
    +
    the number of coefficients to be inserted.
    -Scope:local +Scope:local.
    -Type:required +Type:required.
    -Intent: inout. +Intent: in.
    -Specified as: a structured data of type spdatapsb_Tspmat_type. +Specified as: an integer scalar.
    -
    desc_a
    -
    the communication descriptor. +
    nr
    +
    the number of rows to be inserted.
    Scope:local.
    @@ -86,18 +87,101 @@ Type:required.
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: an integer scalar.
    -
    clear
    -
    Choose whether to zero out matrix coefficients +
    irw
    +
    the first row to be inserted.
    Scope:local.
    -Type:optional. +Type:required. +
    +Intent: in. +
    +Specified as: an integer scalar. +
    +
    ia
    +
    the row indices of the coefficients to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: an integer array of size $nz$. +
    +
    irp
    +
    the row pointers of the coefficients to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: an integer array of size $nr+1$. +
    +
    ja
    +
    the column indices of the coefficients to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: an integer array of size $nz$. +
    +
    val
    +
    the coefficients to be inserted. +
    +Scope:local. +
    +Type:required.
    Intent: in.
    -Default: true. +Specified as: an array of size $nz$. Must be of the same type and kind +of the coefficients of the sparse matrix $a$. +
    +
    desc_a
    +
    The communication descriptor. +
    +Scope: local. +
    +Type: required. +
    +Intent: inout. +
    +Specified as: a variable of type descdatapsb_desc_type. +
    +
    local
    +
    Whether the entries in the indices vectors ia, + ja are already in local numbering. +
    +Scope:local. +
    +Type:optional. +
    +Specified as: a logical value; default: .false.. + +

    @@ -106,6 +190,28 @@ Default: true.
    On Return
    +
    a
    +
    the matrix into which coefficients will be inserted. +
    +Scope:local +
    +Type:required +
    +Intent: inout. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    +
    desc_a
    +
    The communication descriptor. +
    +Scope: local. +
    +Type: required. +
    +Intent: inout. +
    +Specified as: a variable of type descdatapsb_desc_type. +
    info
    Error code.
    @@ -118,16 +224,112 @@ Intent: out. An integer value; 0 means no error has been detected.
    + +

    Notes

      -
    1. On exit from this routine the sparse matrix is in the update - state. +
    2. On entry to this routine the descriptor may be in either the + build or assembled state. +
      3. +
    3. On entry to this routine the sparse matrix may be in either the + build or update state. +
      4. +
    4. If the descriptor is in the build state, then the sparse matrix + must also be in the build state; the action of the routine is to + (implicitly) call psb_cdins to add entries to the sparsity + pattern; each sparse matrix entry implicitly defines a graph edge, + that is passed to the descriptor routine for the appropriate + processing; +
      5. +
    5. The input data can be passed in either COO or CSR formats; +
      6. +
    6. In COO format the coefficients to be inserted are represented by + the ordered triples +$ia(i),ja(i),val(i)$, for $i=1,\dots,nz$; + these triples should belong to the current process, i.e. $ia(i)$ + should be one of the local indices, but are otherwise arbitrary; +
      7. +
    7. In CSR format the coefficients to be inserted for each input row $i=1,nr$ + are represented by the ordered triples +$(i+irw-1),ja(j),val(j)$, for + +$j=irp(i),\dots,irp(i+1)-1$; + these triples should belong to the current process, i.e. $i+irw-1$ + should be one of the local indices, but are otherwise arbitrary; +
      8. +
    8. There is no requirement that a given row must be passed in its + entirety to a single call to this routine: the buildup of a row + may be split into as many calls as desired (even in the CSR format); +
      9. +
    9. Coefficients from different rows may also be mixed up freely + in a single call, according to the application needs; +
      10. +
    10. Any coefficients from matrix rows not owned by the calling + process are silently ignored; +
      11. +
    11. If the descriptor is in the assembled state, then any entries in + the sparse matrix that would generate additional communication + requirements are ignored; +
      12. +
    12. If the matrix is in the update state, any entries in positions + that were not present in the original matrix are ignored.

    -

    + +
    + + +next + +up + +previous + +contents +
    + Next: psb_spasb Sparse + Up: Data management routines + Previous: psb_spall Allocates +   Contents
    + diff --git a/docs/html/node83.html b/docs/html/node83.html index 65e4c10e..b44e3675 100644 --- a/docs/html/node83.html +++ b/docs/html/node83.html @@ -3,8 +3,8 @@ -psb_geall -- Allocates a dense matrix - +psb_spasb -- Sparse matrix assembly routine + @@ -16,45 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: psb_geins Dense - Up: Data management routines - Previous: psb_sprn Reinit -   Next: psb_spfree Frees + Up: Data management routines + Previous: psb_spins Insert +   Contents

    -

    -psb_geall -- Allocates a dense matrix +

    +psb_spasb -- Sparse matrix assembly routine 

    -call psb_geall(x, desc_a, info, n, lb)
+call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)

    @@ -66,51 +66,60 @@ call psb_geall(x, desc_a, info, n, lb)

    desc_a
    -
    The communication descriptor. +
    the communication descriptor.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    Intent: in.
    -Specified as: a variable of type descdatapsb_desc_type. -
    -
    n
    -
    The number of columns of the dense matrix to be allocated. +Specified as: a structured data of type descdatapsb_desc_type. +
    +
    afmt
    +
    the storage format for the sparse matrix.
    -Scope: local +Scope: local.
    -Type: optional +Type: optional.
    Intent: in.
    -Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a -rank-1 array. +Specified as: an array of characters. Defalt: 'CSR'.
    -
    lb
    -
    The lower bound for the column index range of the dense matrix to be allocated. +
    upd
    +
    Provide for updates to the matrix coefficients.
    -Scope: local +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: integer, possible values: psb_upd_srch_, psb_upd_perm_ +
    +
    dupl
    +
    How to handle duplicate coefficients. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: integer, possible values: psb_dupl_ovwrt_, +psb_dupl_add_, psb_dupl_err_. +
    +
    mold
    +
    The desired dynamic type for the internal matrix storage. +
    +Scope: local.
    -Type: optional +Type: optional.
    Intent: in.
    -Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a -rank-1 array. +Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat.
    @@ -119,18 +128,17 @@ rank-1 array.
    On Return
    -
    x
    -
    The dense matrix to be allocated. +
    a
    +
    the matrix to be assembled.
    -Scope: local +Scope:local
    -Type: required +Type:required
    -Intent: out. +Intent: inout.
    -Specified as: a rank one or two array with the ALLOCATABLE attribute -or an object of type vdatapsb_T_vect_type, of type real, complex or integer. -
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    info
    Error code.
    @@ -145,7 +153,57 @@ An integer value; 0 means no error has been detected.

    -

    +Notes + +
      +
    1. On entry to this routine the descriptor must be in the + assembled state, i.e. psb_cdasb must already have been called. +
      2. +
    2. The sparse matrix may be in either the build or update state; +
      3. +
    3. Duplicate entries are detected and handled in both build and + update state, with the exception of the error action that is only + taken in the build state, i.e. on the first assembly; +
      4. +
    4. If the update choice is psb_upd_perm_, then subsequent + calls to psb_spins to update the matrix must be arranged in + such a way as to produce exactly the same sequence of coefficient + values as encountered at the first assembly; +
      5. +
    5. The output storage format need not be the same on all + processes; +
      6. +
    6. On exit from this routine the matrix is in the assembled state, + and thus is suitable for the computational routines. +
      7. +
    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: psb_spfree Frees + Up: Data management routines + Previous: psb_spins Insert +   Contents
    + diff --git a/docs/html/node84.html b/docs/html/node84.html index 26821fda..2ae76326 100644 --- a/docs/html/node84.html +++ b/docs/html/node84.html @@ -3,8 +3,8 @@ -psb_geins -- Dense matrix insertion routine - +psb_spfree -- Frees a sparse matrix + @@ -16,101 +16,65 @@ - +
    - next - + up - previous - contents
    - Next: psb_geasb Assembly - Up: Data management routines - Previous: psb_geall Allocates -   Next: psb_sprn Reinit + Up: Data management routines + Previous: psb_spasb Sparse +   Contents

    -

    -psb_geins -- Dense matrix insertion routine +

    +psb_spfree -- Frees a sparse matrix 

    -call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
+call psb_spfree(a, desc_a, info)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    m
    -
    Number of rows in $val$ to be inserted. +
    a
    +
    the matrix to be freed.
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer value. -
    -
    irw
    -
    Indices of the rows to be inserted. Specifically, row $i$ - of $val$ will be inserted into the local row corresponding to the - global row index $irw(i)$. -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer array. -
    -
    val
    -
    the dense submatrix to be inserted. -
    -Scope:local. +Scope:local
    -Type:required. +Type:required
    -Intent: in. +Intent: inout.
    -Specified as: a rank 1 or 2 array. -Specified as: an integer value. +Specified as: a structured data of type spdatapsb_Tspmat_type.
    desc_a
    the communication descriptor. @@ -123,30 +87,6 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    -
    dupl
    -
    How to handle duplicate coefficients. -
    -Scope: global. -
    -Type: optional. -
    -Intent: in. -
    -Specified as: integer, possible values: psb_dupl_ovwrt_, -psb_dupl_add_. -
    -
    local
    -
    Whether the entries in the index vector irw, - are already in local numbering. -
    -Scope:local. -
    -Type:optional. -
    -Specified as: a logical value; default: .false.. - -

    -

    @@ -154,18 +94,6 @@ Specified as: a logical value; default: .false..

    On Return
    -
    x
    -
    the output dense matrix. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type, of -type real, complex or integer. -
    info
    Error code.
    @@ -180,42 +108,7 @@ An integer value; 0 means no error has been detected.

    -Notes - -

      -
    1. Dense vectors/matrices do not have an associated state; -
      2. -
    2. Duplicate entries are either overwritten or added, there is no - provision for raising an error condition. -
      3. -
    - -

    - -

    - - -next - -up - -previous - -contents -
    - Next: psb_geasb Assembly - Up: Data management routines - Previous: psb_geall Allocates -   Contents
    - +
    diff --git a/docs/html/node85.html b/docs/html/node85.html index 3a23b931..199f1af9 100644 --- a/docs/html/node85.html +++ b/docs/html/node85.html @@ -3,8 +3,8 @@ -psb_geasb -- Assembly a dense matrix - +psb_sprn -- Reinit sparse matrix structure for psblas routines. + @@ -16,45 +16,46 @@ - +
    - next - + up - previous - contents
    - Next: psb_gefree Frees - Up: Data management routines - Previous: psb_geins Dense -   Next: psb_geall Allocates + Up: Data management routines + Previous: psb_spfree Frees +   Contents

    -

    -psb_geasb -- Assembly a dense matrix +

    +psb_sprn -- Reinit sparse matrix structure for psblas + routines. 

    -call psb_geasb(x, desc_a, info, mold)
+call psb_sprn(a, decsc_a, info, clear)

    @@ -65,31 +66,38 @@ call psb_geasb(x, desc_a, info, mold)

    On Entry
    +
    a
    +
    the matrix to be reinitialized. +
    +Scope:local +
    +Type:required +
    +Intent: inout. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    desc_a
    -
    The communication descriptor. +
    the communication descriptor.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    Intent: in.
    -Specified as: a variable of type descdatapsb_desc_type. -
    -
    mold
    -
    The desired dynamic type for the internal vector storage. +Specified as: a structured data of type descdatapsb_desc_type. +
    +
    clear
    +
    Choose whether to zero out matrix coefficients
    -Scope: local. +Scope:local.
    -Type: optional. +Type:optional.
    Intent: in.
    -Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is -only allowed when $x$ is of type vdatapsb_T_vect_type. +Default: true.
    @@ -98,18 +106,6 @@ only allowed when On Return
    -
    x
    -
    The dense matrix to be assembled. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one or two array with the ALLOCATABLE or an -object of type vdatapsb_T_vect_type, of type real, complex or integer. -
    info
    Error code.
    @@ -122,6 +118,15 @@ Intent: out. An integer value; 0 means no error has been detected.
    +Notes + +
      +
    1. On exit from this routine the sparse matrix is in the update + state. +
      2. +
    + +


    diff --git a/docs/html/node86.html b/docs/html/node86.html index e1744ccb..72ad8bf6 100644 --- a/docs/html/node86.html +++ b/docs/html/node86.html @@ -3,8 +3,8 @@ -psb_gefree -- Frees a dense matrix - +psb_geall -- Allocates a dense matrix + @@ -16,45 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: psb_gelp Applies - Up: Data management routines - Previous: psb_geasb Assembly -   Next: psb_geins Dense + Up: Data management routines + Previous: psb_sprn Reinit +   Contents

    -

    -psb_gefree -- Frees a dense matrix +

    +psb_geall -- Allocates a dense matrix 

    -call psb_gefree(x, desc_a, info)
+call psb_geall(x, desc_a, info, n, lb)

    @@ -65,32 +65,53 @@ call psb_gefree(x, desc_a, info)

    On Entry
    -
    x
    -
    The dense matrix to - be freed. +
    desc_a
    +
    The communication descriptor.
    Scope: local
    Type: required
    -Intent: inout. +Intent: in.
    -Specified as: a rank one or two array with the ALLOCATABLE or an -object of type vdatapsb_T_vect_type, of type real, complex or integer. +Specified as: a variable of type descdatapsb_desc_type. +
    +
    n
    +
    The number of columns of the dense matrix to be allocated.
    -

    +Scope: local +
    +Type: optional +
    +Intent: in. +
    +Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a +rank-1 array.

    -
    desc_a
    -
    The communication descriptor. +
    lb
    +
    The lower bound for the column index range of the dense matrix to be allocated.
    Scope: local
    -Type: required +Type: optional
    Intent: in.
    -Specified as: a variable of type descdatapsb_desc_type. -
    +Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a +rank-1 array. +

    @@ -98,6 +119,18 @@ Specified as: a variable of type descdatapsb_desc_type.

    On Return
    +
    x
    +
    The dense matrix to be allocated. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +Specified as: a rank one or two array with the ALLOCATABLE attribute +or an object of type vdatapsb_T_vect_type, of type real, complex or integer. +
    info
    Error code.
    diff --git a/docs/html/node87.html b/docs/html/node87.html index dbb80998..7e7dff18 100644 --- a/docs/html/node87.html +++ b/docs/html/node87.html @@ -3,8 +3,8 @@ -psb_gelp -- Applies a left permutation to a dense matrix - +psb_geins -- Dense matrix insertion routine + @@ -16,46 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: psb_glob_to_loc Global - Up: Data management routines - Previous: psb_gefree Frees -   Next: psb_geasb Assembly + Up: Data management routines + Previous: psb_geall Allocates +   Contents

    -

    -psb_gelp -- Applies a left permutation to a dense - matrix +

    +psb_geins -- Dense matrix insertion routine 

    -call psb_gelp(trans, iperm, x, info)
+call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])

    @@ -66,51 +65,88 @@ call psb_gelp(trans, iperm, x, info)

    On Entry
    -
    trans
    -
    A character that specifies whether to permute $A$ or $A^T$. +
    m
    +
    Number of rows in $val$ to be inserted.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    Intent: in.
    -Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$. -
    -
    iperm
    -
    An integer array containing permutation information. +Specified as: an integer value. +
    +
    irw
    +
    Indices of the rows to be inserted. Specifically, row $i$ + of $val$ will be inserted into the local row corresponding to the + global row index $irw(i)$. +Scope:local. +
    +Type:required.
    -Scope: local +Intent: in.
    -Type: required +Specified as: an integer array. +
    +
    val
    +
    the dense submatrix to be inserted. +
    +Scope:local. +
    +Type:required.
    Intent: in.
    -Specified as: an integer one-dimensional array. -
    -
    x
    -
    The dense matrix to be permuted. +Specified as: a rank 1 or 2 array. +Specified as: an integer value. +
    +
    desc_a
    +
    the communication descriptor.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    -Intent: inout. +Intent: in.
    -Specified as: a one or two dimensional array. -
    +Specified as: a structured data of type descdatapsb_desc_type. + +
    dupl
    +
    How to handle duplicate coefficients. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: integer, possible values: psb_dupl_ovwrt_, +psb_dupl_add_. +
    +
    local
    +
    Whether the entries in the index vector irw, + are already in local numbering. +
    +Scope:local. +
    +Type:optional. +
    +Specified as: a logical value; default: .false.. + +

    +

    @@ -118,6 +154,18 @@ Specified as: a one or two dimensional array.

    On Return
    +
    x
    +
    the output dense matrix. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type, of +type real, complex or integer. +
    info
    Error code.
    @@ -132,7 +180,42 @@ An integer value; 0 means no error has been detected.

    -

    +Notes + +
      +
    1. Dense vectors/matrices do not have an associated state; +
      2. +
    2. Duplicate entries are either overwritten or added, there is no + provision for raising an error condition. +
      3. +
    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: psb_geasb Assembly + Up: Data management routines + Previous: psb_geall Allocates +   Contents
    + diff --git a/docs/html/node88.html b/docs/html/node88.html index 56205478..705998d9 100644 --- a/docs/html/node88.html +++ b/docs/html/node88.html @@ -3,8 +3,8 @@ -psb_glob_to_loc -- Global to local indices convertion - +psb_geasb -- Assembly a dense matrix + @@ -16,101 +16,80 @@ - +
    - next - + up - previous - contents
    - Next: psb_loc_to_glob Local - Up: Data management routines - Previous: psb_gelp Applies -   Next: psb_gefree Frees + Up: Data management routines + Previous: psb_geins Dense +   Contents

    -

    -psb_glob_to_loc -- Global to local indices - convertion +

    +psb_geasb -- Assembly a dense matrix 

    -call psb_glob_to_loc(x, y, desc_a, info, iact,owned)
-call psb_glob_to_loc(x, desc_a, info, iact,owned)
+call psb_geasb(x, desc_a, info, mold)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    x
    -
    An integer vector of indices to be converted. +
    desc_a
    +
    The communication descriptor.
    Scope: local
    Type: required
    -Intent: in, inout. -
    -Specified as: a rank one integer array. -
    -
    desc_a
    -
    the communication descriptor. -
    -Scope:local. -
    -Type:required. -
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    iact
    -
    specifies action to be taken in case of range errors. -Scope: global -
    -Type: optional -
    -Intent: in. +Specified as: a variable of type descdatapsb_desc_type. +
    +
    mold
    +
    The desired dynamic type for the internal vector storage.
    -Specified as: a character variable Ignore, Warning or -Abort, default Ignore. -
    -
    owned
    -
    Specfies valid range of input -Scope: global +Scope: local.
    -Type: optional +Type: optional.
    Intent: in.
    -If true, then only indices strictly owned by the current process are -considered valid, if false then halo indices are also -accepted. Default: false. +Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is +only allowed when $x$ is of type vdatapsb_T_vect_type.
    @@ -120,43 +99,17 @@ accepted. Default: false.
    x
    -
    If $y$ is not present, - then $x$ is overwritten with the translated integer indices. -Scope: global +
    The dense matrix to be assembled. +
    +Scope: local
    Type: required
    Intent: inout.
    -Specified as: a rank one integer array. -
    -
    y
    -
    If $y$ is present, - then $y$ is overwritten with the translated integer indices, and $x$ - is left unchanged. -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Specified as: a rank one integer array. -
    +Specified as: a rank one or two array with the ALLOCATABLE or an +object of type vdatapsb_T_vect_type, of type real, complex or integer. +
    info
    Error code.
    @@ -169,45 +122,7 @@ Intent: out. An integer value; 0 means no error has been detected.
    - -

    -Notes - -

      -
    1. If an input index is out of range, then the corresponding output - index is set to a negative number; -
      2. -
    2. The default Ignore means that the negative output is the - only action taken on an out-of-range input. -
      3. -
    - -

    - -

    - - -next - -up - -previous - -contents -
    - Next: psb_loc_to_glob Local - Up: Data management routines - Previous: psb_gelp Applies -   Contents
    - +
    diff --git a/docs/html/node89.html b/docs/html/node89.html index ac275095..48f987c1 100644 --- a/docs/html/node89.html +++ b/docs/html/node89.html @@ -3,8 +3,8 @@ -psb_loc_to_glob -- Local to global indices conversion - +psb_gefree -- Frees a dense matrix + @@ -16,90 +16,81 @@ - +
    - next - + up - previous - contents
    - Next: psb_is_owned - Up: Data management routines - Previous: psb_glob_to_loc Global -   Next: psb_gelp Applies + Up: Data management routines + Previous: psb_geasb Assembly +   Contents

    -

    -psb_loc_to_glob -- Local to global indices - conversion +

    +psb_gefree -- Frees a dense matrix 

    -call psb_loc_to_glob(x, y, desc_a, info, iact)
-call psb_loc_to_glob(x, desc_a, info, iact)
+call psb_gefree(x, desc_a, info)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    x
    -
    An integer vector of indices to be converted. +
    The dense matrix to + be freed.
    Scope: local
    Type: required
    -Intent: in, inout. -
    -Specified as: a rank one integer array. -
    -
    desc_a
    -
    the communication descriptor. -
    -Scope:local. -
    -Type:required. +Intent: inout.
    -Intent: in. +Specified as: a rank one or two array with the ALLOCATABLE or an +object of type vdatapsb_T_vect_type, of type real, complex or integer.
    -Specified as: a structured data of type descdatapsb_desc_type. +

    -
    iact
    -
    specifies action to be taken in case of range errors. -Scope: global +
    desc_a
    +
    The communication descriptor. +
    +Scope: local
    -Type: optional +Type: required
    Intent: in.
    -Specified as: a character variable Ignore, Warning or -Abort, default Ignore. -
    +Specified as: a variable of type descdatapsb_desc_type. +

    @@ -107,44 +98,6 @@ Specified as: a character variable Ignore, Warning or

    On Return
    -
    x
    -
    If $y$ is not present, - then $x$ is overwritten with the translated integer indices. -Scope: global -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one integer array. -
    -
    y
    -
    If $y$ is not present, - then $y$ is overwritten with the translated integer indices, and $x$ - is left unchanged. -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Specified as: a rank one integer array. -
    info
    Error code.
    diff --git a/docs/html/node9.html b/docs/html/node9.html index b60f74d3..7e75eada 100644 --- a/docs/html/node9.html +++ b/docs/html/node9.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: Descriptor data structure - Up: Up: userhtml - Previous: Previous: Programming model -   Contents

    @@ -114,132 +114,132 @@ developer's documentation. Subsections
    - next - up - previous - contents
    - Next: Next: Descriptor data structure - Up: Up: userhtml - Previous: Previous: Programming model -   Contents
    diff --git a/docs/html/node90.html b/docs/html/node90.html index aaf6d3e3..9de2f117 100644 --- a/docs/html/node90.html +++ b/docs/html/node90.html @@ -3,8 +3,8 @@ -psb_is_owned -- - +psb_gelp -- Applies a left permutation to a dense matrix + @@ -16,45 +16,46 @@ - +
    - next - + up - previous - contents
    - Next: psb_owned_index - Up: Data management routines - Previous: psb_loc_to_glob Local -   Next: psb_glob_to_loc Global + Up: Data management routines + Previous: psb_gefree Frees +   Contents

    -

    -psb_is_owned -- +

    +psb_gelp -- Applies a left permutation to a dense + matrix 

    -call psb_is_owned(x, desc_a)
+call psb_gelp(trans, iperm, x, info)

    @@ -65,8 +66,14 @@ call psb_is_owned(x, desc_a)

    On Entry
    -
    x
    -
    Integer index. +
    trans
    +
    A character that specifies whether to permute $A$ or $A^T$.
    Scope: local
    @@ -74,19 +81,36 @@ Type: required
    Intent: in.
    -Specified as: a scalar integer. +Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$.
    -
    desc_a
    -
    the communication descriptor. +
    iperm
    +
    An integer array containing permutation information.
    -Scope:local. +Scope: local
    -Type:required. +Type: required
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. -
    +Specified as: an integer one-dimensional array. +
    +
    x
    +
    The dense matrix to be permuted. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a one or two dimensional array. +

    @@ -94,30 +118,19 @@ Specified as: a structured data of type descdatapsb_desc_type.

    On Return
    -
    Function value
    -
    A logical mask which is true if - $x$ is owned by the current process +
    info
    +
    Error code. +
    Scope: local
    -Type: required +Type: required
    Intent: out. -
    +
    +An integer value; 0 means no error has been detected. + -

    -Notes - -

      -
    1. This routine returns a .true. value for an index - that is strictly owned by the current process, excluding the halo - indices -
      2. -
    -


    diff --git a/docs/html/node91.html b/docs/html/node91.html index d2bd979c..05365418 100644 --- a/docs/html/node91.html +++ b/docs/html/node91.html @@ -3,8 +3,8 @@ -psb_owned_index -- - +psb_glob_to_loc -- Global to local indices convertion + @@ -16,45 +16,47 @@ - +
    - next - + up - previous - contents
    - Next: psb_is_local - Up: Data management routines - Previous: psb_is_owned -   Next: psb_loc_to_glob Local + Up: Data management routines + Previous: psb_gelp Applies +   Contents

    -

    -psb_owned_index -- +

    +psb_glob_to_loc -- Global to local indices + convertion 

    -call psb_owned_index(y, x, desc_a, info)
+call psb_glob_to_loc(x, y, desc_a, info, iact,owned)
+call psb_glob_to_loc(x, desc_a, info, iact,owned)

    @@ -66,7 +68,7 @@ call psb_owned_index(y, x, desc_a, info)

    x
    -
    Integer indices. +
    An integer vector of indices to be converted.
    Scope: local
    @@ -74,7 +76,7 @@ Type: required
    Intent: in, inout.
    -Specified as: a scalar or a rank one integer array. +Specified as: a rank one integer array.
    desc_a
    the communication descriptor. @@ -98,6 +100,18 @@ Intent: in. Specified as: a character variable Ignore, Warning or Abort, default Ignore.
    +
    owned
    +
    Specfies valid range of input +Scope: global +
    +Type: optional +
    +Intent: in. +
    +If true, then only indices strictly owned by the current process are +considered valid, if false then halo indices are also +accepted. Default: false. +

    @@ -105,19 +119,43 @@ Specified as: a character variable Ignore, Warning or

    On Return
    -
    y
    -
    A logical mask which is true for all corresponding entries of - x +
    If $y$ is not present, + then $x$ that are owned by the current process -Scope: local + ALT="$x$"> is overwritten with the translated integer indices. +Scope: global
    Type: required
    +Intent: inout. +
    +Specified as: a rank one integer array. +
    +
    y
    +
    If $y$ is present, + then $y$ is overwritten with the translated integer indices, and $x$ + is left unchanged. +Scope: global +
    +Type: optional +
    Intent: out.
    -Specified as: a scalar or rank one logical array. +Specified as: a rank one integer array.
    info
    Error code. @@ -136,14 +174,40 @@ An integer value; 0 means no error has been detected. Notes
      -
    1. This routine returns a .true. value for those indices - that are strictly owned by the current process, excluding the halo - indices +
    2. If an input index is out of range, then the corresponding output + index is set to a negative number; +
      3. +
    3. The default Ignore means that the negative output is the + only action taken on an out-of-range input.

    -

    + +
    + + +next + +up + +previous + +contents +
    + Next: psb_loc_to_glob Local + Up: Data management routines + Previous: psb_gelp Applies +   Contents
    + diff --git a/docs/html/node92.html b/docs/html/node92.html index a3c4d4b6..666b0bf5 100644 --- a/docs/html/node92.html +++ b/docs/html/node92.html @@ -3,8 +3,8 @@ -psb_is_local -- - +psb_loc_to_glob -- Local to global indices conversion + @@ -16,45 +16,47 @@ - +
    - next - + up - previous - contents
    - Next: psb_local_index - Up: Data management routines - Previous: psb_owned_index -   Next: psb_is_owned + Up: Data management routines + Previous: psb_glob_to_loc Global +   Contents

    -

    -psb_is_local -- +

    +psb_loc_to_glob -- Local to global indices + conversion 

    -call psb_is_local(x, desc_a)
+call psb_loc_to_glob(x, y, desc_a, info, iact)
+call psb_loc_to_glob(x, desc_a, info, iact)

    @@ -66,15 +68,15 @@ call psb_is_local(x, desc_a)

    x
    -
    Integer index. +
    An integer vector of indices to be converted.
    Scope: local
    Type: required
    -Intent: in. +Intent: in, inout.
    -Specified as: a scalar integer. +Specified as: a rank one integer array.
    desc_a
    the communication descriptor. @@ -87,6 +89,17 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    +
    iact
    +
    specifies action to be taken in case of range errors. +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Specified as: a character variable Ignore, Warning or +Abort, default Ignore. +

    @@ -94,30 +107,57 @@ Specified as: a structured data of type descdatapsb_desc_type.

    On Return
    -
    Function value
    -
    A logical mask which is true if - x +
    If $y$ is not present, + then $x$ is local to the current process -Scope: local + ALT="$x$"> is overwritten with the translated integer indices. +Scope: global
    Type: required
    +Intent: inout. +
    +Specified as: a rank one integer array. +
    +
    y
    +
    If $y$ is not present, + then $y$ is overwritten with the translated integer indices, and $x$ + is left unchanged. +Scope: global +
    +Type: optional +
    Intent: out. -
    +
    +Specified as: a rank one integer array. + +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    -

    -Notes - -

      -
    1. This routine returns a .true. value for an index - that is local to the current process, including the halo - indices -
      2. -
    -


    diff --git a/docs/html/node93.html b/docs/html/node93.html index 3a12cab9..133899aa 100644 --- a/docs/html/node93.html +++ b/docs/html/node93.html @@ -3,8 +3,8 @@ -psb_local_index -- - +psb_is_owned -- + @@ -16,45 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: psb_get_boundary Extract - Up: Data management routines - Previous: psb_is_local -   Next: psb_owned_index + Up: Data management routines + Previous: psb_loc_to_glob Local +   Contents

    -

    -psb_local_index -- +

    +psb_is_owned -- 

    -call psb_local_index(y, x, desc_a, info)
+call psb_is_owned(x, desc_a)

    @@ -66,15 +66,15 @@ call psb_local_index(y, x, desc_a, info)

    x
    -
    Integer indices. +
    Integer index.
    Scope: local
    Type: required
    -Intent: in, inout. +Intent: in.
    -Specified as: a scalar or a rank one integer array. +Specified as: a scalar integer.
    desc_a
    the communication descriptor. @@ -87,17 +87,6 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    -
    iact
    -
    specifies action to be taken in case of range errors. -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Specified as: a character variable Ignore, Warning or -Abort, default Ignore. -

    @@ -105,40 +94,27 @@ Specified as: a character variable Ignore, Warning or

    On Return
    -
    y
    -
    A logical mask which is true for all corresponding entries of +
    Function value
    +
    A logical mask which is true if $x$ that are local to the current process + ALT="$x$"> is owned by the current process Scope: local
    Type: required
    Intent: out. -
    -Specified as: a scalar or rank one logical array. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    +

    Notes

      -
    1. This routine returns a .true. value for those indices - that are local to the current process, including the halo - indices. +
    2. This routine returns a .true. value for an index + that is strictly owned by the current process, excluding the halo + indices
    diff --git a/docs/html/node94.html b/docs/html/node94.html index 41a1b858..56bfb76f 100644 --- a/docs/html/node94.html +++ b/docs/html/node94.html @@ -3,8 +3,8 @@ -psb_get_boundary -- Extract list of boundary elements - +psb_owned_index -- + @@ -16,46 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: psb_get_overlap Extract - Up: Data management routines - Previous: psb_local_index -   Next: psb_is_local + Up: Data management routines + Previous: psb_is_owned +   Contents

    -

    -psb_get_boundary -- Extract list of boundary - elements +

    +psb_owned_index -- 

    -call psb_get_boundary(bndel, desc, info)
+call psb_owned_index(y, x, desc_a, info)

    @@ -66,7 +65,18 @@ call psb_get_boundary(bndel, desc, info)

    On Entry
    -
    desc
    +
    x
    +
    Integer indices. +
    +Scope: local +
    +Type: required +
    +Intent: in, inout. +
    +Specified as: a scalar or a rank one integer array. +
    +
    desc_a
    the communication descriptor.
    Scope:local. @@ -77,6 +87,17 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    +
    iact
    +
    specifies action to be taken in case of range errors. +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Specified as: a character variable Ignore, Warning or +Abort, default Ignore. +

    @@ -84,19 +105,20 @@ Specified as: a structured data of type descdatapsb_desc_type.

    On Return
    -
    bndel
    -
    The list of boundary elements on the calling process, in - local numbering. -
    +
    y
    +
    A logical mask which is true for all corresponding entries of + $x$ that are owned by the current process Scope: local
    Type: required
    Intent: out.
    -Specified as: a rank one array with the ALLOCATABLE -attribute, of type integer. -
    +Specified as: a scalar or rank one logical array. +
    info
    Error code.
    @@ -114,12 +136,9 @@ An integer value; 0 means no error has been detected. Notes
      -
    1. If there are no boundary elements (i.e., if the local part of - the connectivity graph is self-contained) the output vector is set - to the “not allocated” state. -
      2. -
    2. Otherwise the size of bndel will be exactly equal to the - number of boundary elements. +
    3. This routine returns a .true. value for those indices + that are strictly owned by the current process, excluding the halo + indices
    diff --git a/docs/html/node95.html b/docs/html/node95.html index 07d57981..79dba935 100644 --- a/docs/html/node95.html +++ b/docs/html/node95.html @@ -3,8 +3,8 @@ -psb_get_overlap -- Extract list of overlap elements - +psb_is_local -- + @@ -16,46 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: psb_sp_getrow Extract - Up: Data management routines - Previous: psb_get_boundary Extract -   Next: psb_local_index + Up: Data management routines + Previous: psb_owned_index +   Contents

    -

    -psb_get_overlap -- Extract list of overlap - elements +

    +psb_is_local -- 

    -call psb_get_overlap(ovrel, desc, info)
+call psb_is_local(x, desc_a)

    @@ -66,7 +65,18 @@ call psb_get_overlap(ovrel, desc, info)

    On Entry
    -
    desc
    +
    x
    +
    Integer index. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a scalar integer. +
    +
    desc_a
    the communication descriptor.
    Scope:local. @@ -84,41 +94,27 @@ Specified as: a structured data of type descdatapsb_desc_type.
    On Return
    -
    ovrel
    -
    The list of overlap elements on the calling process, in - local numbering. -
    +
    Function value
    +
    A logical mask which is true if + $x$ is local to the current process Scope: local
    Type: required
    Intent: out. -
    -Specified as: a rank one array with the ALLOCATABLE -attribute, of type integer.
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -

    Notes

      -
    1. If there are no overlap elements the output vector is set - to the “not allocated” state. -
      2. -
    2. Otherwise the size of ovrel will be exactly equal to the - number of overlap elements. +
    3. This routine returns a .true. value for an index + that is local to the current process, including the halo + indices
    diff --git a/docs/html/node96.html b/docs/html/node96.html index 2736fbfb..d7e2ac97 100644 --- a/docs/html/node96.html +++ b/docs/html/node96.html @@ -3,8 +3,8 @@ -psb_sp_getrow -- Extract row(s) from a sparse matrix - +psb_local_index -- + @@ -16,47 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: psb_sizeof Memory - Up: Data management routines - Previous: psb_get_overlap Extract -   Next: psb_get_boundary Extract + Up: Data management routines + Previous: psb_is_local +   Contents

    -

    -psb_sp_getrow -- Extract row(s) from a sparse - matrix +

    +psb_local_index -- 

    -call psb_sp_getrow(row, a, nz, ia, ja, val, info, &
-              & append, nzin, lrw)
+call psb_local_index(y, x, desc_a, info)

    @@ -67,75 +65,38 @@ call psb_sp_getrow(row, a, nz, ia, ja, val, info, &

    On Entry
    -
    row
    -
    The (first) row to be extracted. +
    x
    +
    Integer indices.
    -Scope:local -
    -Type:required -
    -Intent: in. -
    -Specified as: an integer $>0$. -
    -
    a
    -
    the matrix from which to get rows. -
    -Scope:local -
    -Type:required -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    append
    -
    Whether to append or overwrite existing output. -
    -Scope:local +Scope: local
    -Type:optional +Type: required
    -Intent: in. +Intent: in, inout.
    -Specified as: a logical value default: false (overwrite). -
    -
    nzin
    -
    Input size to be appended to. +Specified as: a scalar or a rank one integer array. +
    +
    desc_a
    +
    the communication descriptor.
    -Scope:local +Scope:local.
    -Type:optional +Type:required.
    Intent: in.
    -Specified as: an integer $>0$. When append is true, specifies how many -entries in the output vectors are already filled. +Specified as: a structured data of type descdatapsb_desc_type.
    -
    lrw
    -
    The last row to be extracted. +
    iact
    +
    specifies action to be taken in case of range errors. +Scope: global
    -Scope:local -
    -Type:optional +Type: optional
    Intent: in.
    -Specified as: an integer $>0$, default: $row$. - -

    +Specified as: a character variable Ignore, Warning or +Abort, default Ignore.

    @@ -144,49 +105,19 @@ Specified as: an integer On Return
    -
    nz
    -
    the number of elements returned by this call. -
    -Scope:local. +
    y
    +
    A logical mask which is true for all corresponding entries of + $x$ that are local to the current process +Scope: local
    -Type:required. +Type: required
    Intent: out.
    -Returned as: an integer scalar. -
    -
    ia
    -
    the row indices. -
    -Scope:local. -
    -Type:required. -
    -Intent: inout. -
    -Specified as: an integer array with the ALLOCATABLE attribute. -
    -
    ja
    -
    the column indices of the elements to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: inout. -
    -Specified as: an integer array with the ALLOCATABLE attribute. -
    -
    val
    -
    the elements to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: inout. -
    -Specified as: a real array with the ALLOCATABLE attribute. +Specified as: a scalar or rank one logical array.
    info
    Error code. @@ -205,52 +136,14 @@ An integer value; 0 means no error has been detected. Notes
      -
    1. The output $nz$ is always the size of the output generated by - the current call; thus, if append=.true., the total output - size will be $nzin+nz$, with the newly extracted coefficients stored in - entries nzin+1:nzin+nz of the array arguments; -
      2. -
    2. When append=.true. the output arrays are reallocated as - necessary; -
      3. -
    3. The row and column indices are returned in the local numbering - scheme; if the global numbering is desired, the user may employ the - psb_loc_to_glob routine on the output. +
    4. This routine returns a .true. value for those indices + that are local to the current process, including the halo + indices.

    - -

    - - -next - -up - -previous - -contents -
    - Next: psb_sizeof Memory - Up: Data management routines - Previous: psb_get_overlap Extract -   Contents
    - +
    diff --git a/docs/html/node97.html b/docs/html/node97.html index 9a446831..184f952e 100644 --- a/docs/html/node97.html +++ b/docs/html/node97.html @@ -3,8 +3,8 @@ -psb_sizeof -- Memory occupation - +psb_get_boundary -- Extract list of boundary elements + @@ -16,50 +16,46 @@ - +
    - next - + up - previous - contents
    - Next: Sorting utilities - Up: Data management routines - Previous: psb_sp_getrow Extract -   Next: psb_get_overlap Extract + Up: Data management routines + Previous: psb_local_index +   Contents

    -

    -psb_sizeof -- Memory occupation +

    +psb_get_boundary -- Extract list of boundary + elements

    -

    -This function computes the memory occupation of a PSBLAS object. - 

    -isz = psb_sizeof(a)
-isz = psb_sizeof(desc_a)
-isz = psb_sizeof(prec)
+call psb_get_boundary(bndel, desc, info)

    @@ -70,54 +66,63 @@ isz = psb_sizeof(prec)

    On Entry
    -
    a
    -
    A sparse matrix -$A$. +
    desc
    +
    the communication descriptor.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    Intent: in.
    -Specified as: a structured data of type spdatapsb_Tspmat_type. +Specified as: a structured data of type descdatapsb_desc_type. +
    + + +

    +

    +
    On Return
    +
    -
    desc_a
    -
    Communication descriptor. +
    bndel
    +
    The list of boundary elements on the calling process, in + local numbering.
    Scope: local
    Type: required
    -Intent: in. +Intent: out.
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    prec
    -
    Scope: local +Specified as: a rank one array with the ALLOCATABLE +attribute, of type integer. +
    +
    info
    +
    Error code.
    -Type: required +Scope: local
    -Intent: in. +Type: required
    -Specified as: a preconditioner data structure precdatapsb_prec_type. -
    -
    On Return
    -
    -
    -
    Function value
    -
    The memory occupation of the object specified in - the calling sequence, in bytes. -
    -Scope: local +Intent: out.
    -Returned as: an integer(psb_long_int_k_) number. +An integer value; 0 means no error has been detected.
    +

    +Notes + +

      +
    1. If there are no boundary elements (i.e., if the local part of + the connectivity graph is self-contained) the output vector is set + to the “not allocated” state. +
      2. +
    2. Otherwise the size of bndel will be exactly equal to the + number of boundary elements. +
      3. +
    +


    diff --git a/docs/html/node98.html b/docs/html/node98.html index 5625baef..4f8e6938 100644 --- a/docs/html/node98.html +++ b/docs/html/node98.html @@ -3,8 +3,8 @@ -Sorting utilities -- - +psb_get_overlap -- Extract list of overlap elements + @@ -14,121 +14,68 @@ + - +
    - next - + up - previous - contents
    - Next: Parallel environment routines - Up: Data management routines - Previous: psb_sizeof Memory -   Next: psb_sp_getrow Extract + Up: Data management routines + Previous: psb_get_boundary Extract +   Contents

    -

    -Sorting utilities -- +

    +psb_get_overlap -- Extract list of overlap + elements

    -psb_msort -- Sorting by the Merge-sort - algorithm - -

    -psb_qsort -- Sorting by the Quicksort - algorithm - -

    -psb_hsort -- Sorting by the Heapsort algorithm 

    -call psb_msort(x,ix,dir,flag)
-call psb_qsort(x,ix,dir,flag)
-call psb_hsort(x,ix,dir,flag)
+call psb_get_overlap(ovrel, desc, info)

    -These serial routines sort a sequence $X$ into ascending or -descending order. The argument meaning is identical for the three -calls; the only difference is the algorithm used to accomplish the -task (see Usage Notes below).

    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    x
    -
    The sequence to be sorted. +
    desc
    +
    the communication descriptor.
    -Type:required. +Scope:local.
    -Specified as: an integer, real or complex array of rank 1. -
    -
    ix
    -
    A vector of indices. -
    -Type:optional. -
    -Specified as: an integer array of (at least) the same size as $X$. -
    -
    dir
    -
    The desired ordering. -
    -Type:optional. -
    -Specified as: an integer value:
    -
    Integer and real data:
    -
    psb_sort_up_, -psb_sort_down_, psb_asort_up_, psb_asort_down_; -default psb_sort_up_. -
    -
    Complex data:
    -
    psb_lsort_up_, -psb_lsort_down_, psb_asort_up_, psb_asort_down_; -default psb_lsort_up_. -
    -
    -
    -
    flag
    -
    Whether to keep the original values in $IX$. +Type:required.
    -Type:optional. +Intent: in.
    -Specified as: an integer value psb_sort_ovw_idx_ or -psb_sort_keep_idx_; default psb_sort_ovw_idx_. - -

    +Specified as: a structured data of type descdatapsb_desc_type.

    @@ -137,155 +84,46 @@ Specified as: an integer value psb_sort_ovw_idx_ or
    On Return
    -
    x
    -
    The sequence of values, in the chosen ordering. +
    ovrel
    +
    The list of overlap elements on the calling process, in + local numbering.
    -Type:required. +Scope: local
    -Specified as: an integer, real or complex array of rank 1. -
    -
    ix
    -
    A vector of indices. +Type: required +
    +Intent: out. +
    +Specified as: a rank one array with the ALLOCATABLE +attribute, of type integer. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required
    -Type: Optional +Intent: out.
    -An integer array of rank 1, whose entries are moved to the same -position as the corresponding entries in $x$. +An integer value; 0 means no error has been detected.
    -

    -

    Notes

      -
    1. For integer or real data the sorting can be performed in the up/down direction, on the - natural or absolute values; -
      2. -
    2. For complex data the sorting can be done in a lexicographic - order (i.e.: sort on the real part with ties broken according to - the imaginary part) or on the absolute values; -
      3. -
    3. The routines return the items in the chosen ordering; the - output difference is the handling of ties (i.e. items with an - equal value) in the original input. With the merge-sort algorithm - ties are preserved in the same relative order as they had in the - original sequence, while this is not guaranteed for quicksort or - heapsort; -
      4. -
    4. If -$flag = psb\_sort\_ovw\_idx\_$ then the entries in $ix(1:n)$ - where $n$ is the size of $x$ are initialized to -$ix(i) \leftarrow -i$; thus, upon return from the subroutine, for each - index $i$ we have in $ix(i)$ the position that the item $x(i)$ - occupied in the original data sequence; -
      5. -
    5. If -$flag = psb\_sort\_keep\_idx\_$ the routine will assume that - the entries in $ix(:)$ have already been initialized by the user; -
      6. -
    6. The three sorting algorithms have a similar $O(n \log n)$ expected - running time; in the average case quicksort will be the - fastest and merge-sort the slowest. However note that: - -
        -
      1. The worst case running time for quicksort is $O(n^2)$; the algorithm - implemented here follows the well-known median-of-three heuristics, - but the worst case may still apply; +
      2. If there are no overlap elements the output vector is set + to the “not allocated” state.
        3. -
      3. The worst case running time for merge-sort and heap-sort is - $O(n \log n)$ as the average case; -
        4. -
      4. The merge-sort algorithm is implemented to take advantage of - subsequences that may be already in the desired ordering prior to - the subroutine call; this situation is relatively common when - dealing with groups of indices of sparse matrix entries, thus - merge-sort is the preferred choice when a sorting is needed - by other routines in the library. -
        5. -
      +
    7. Otherwise the size of ovrel will be exactly equal to the + number of overlap elements.

    - -

    - -

    - - -next - -up - -previous - -contents -
    - Next: Parallel environment routines - Up: Data management routines - Previous: psb_sizeof Memory -   Contents
    - +
    diff --git a/docs/html/node99.html b/docs/html/node99.html index 24fa37b8..57f6c73e 100644 --- a/docs/html/node99.html +++ b/docs/html/node99.html @@ -3,8 +3,8 @@ -Parallel environment routines - +psb_sp_getrow -- Extract row(s) from a sparse matrix + @@ -14,93 +14,243 @@ - - - + + +
    - next - + up - previous - contents
    - Next: psb_init Initializes - Up: userhtml - Previous: Sorting utilities -   Next: psb_sizeof Memory + Up: Data management routines + Previous: psb_get_overlap Extract +   Contents

    -

    - +

    +psb_sp_getrow -- Extract row(s) from a sparse + matrix +

    + +

    +

    +call psb_sp_getrow(row, a, nz, ia, ja, val, info, &
+              & append, nzin, lrw)
+
    + +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    row
    +
    The (first) row to be extracted. +
    +Scope:local +
    +Type:required +
    +Intent: in. +
    +Specified as: an integer $>0$. +
    +
    a
    +
    the matrix from which to get rows. +
    +Scope:local +
    +Type:required +
    +Intent: in. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    +
    append
    +
    Whether to append or overwrite existing output. +
    +Scope:local +
    +Type:optional +
    +Intent: in.
    -Parallel environment routines - +Specified as: a logical value default: false (overwrite). +
    +
    nzin
    +
    Input size to be appended to. +
    +Scope:local +
    +Type:optional +
    +Intent: in. +
    +Specified as: an integer $>0$. When append is true, specifies how many +entries in the output vectors are already filled. +
    +
    lrw
    +
    The last row to be extracted. +
    +Scope:local +
    +Type:optional +
    +Intent: in. +
    +Specified as: an integer $>0$, default: $row$.

    -

    - -Subsections - - - -
    +
    +
    + +

    +

    +
    On Return
    +
    +
    +
    nz
    +
    the number of elements returned by this call. +
    +Scope:local. +
    +Type:required. +
    +Intent: out. +
    +Returned as: an integer scalar. +
    +
    ia
    +
    the row indices. +
    +Scope:local. +
    +Type:required. +
    +Intent: inout. +
    +Specified as: an integer array with the ALLOCATABLE attribute. +
    +
    ja
    +
    the column indices of the elements to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: inout. +
    +Specified as: an integer array with the ALLOCATABLE attribute. +
    +
    val
    +
    the elements to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: inout. +
    +Specified as: a real array with the ALLOCATABLE attribute. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +
    + +

    +Notes + +

      +
    1. The output $nz$ is always the size of the output generated by + the current call; thus, if append=.true., the total output + size will be $nzin+nz$, with the newly extracted coefficients stored in + entries nzin+1:nzin+nz of the array arguments; +
      2. +
    2. When append=.true. the output arrays are reallocated as + necessary; +
      3. +
    3. The row and column indices are returned in the local numbering + scheme; if the global numbering is desired, the user may employ the + psb_loc_to_glob routine on the output. +
      4. +
    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: psb_sizeof Memory + Up: Data management routines + Previous: psb_get_overlap Extract +   Contents
    + diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index e3200a83..cccebd92 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -20,18 +20,18 @@
    - next up previous - contents
    - Next: Next: Contents -   Contents

    @@ -61,345 +61,351 @@ Dec 1st, 2018
      -
    • Contents -
    • Introduction -
    • General overview
      -
    • Data Structures and Classes
      -
    • Computational routines -
      -
    • Communication routines -
      -
    • Data management routines -
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192.804 Td [(lo)-28(c)]TJ +/F8 9.9626 Tf 218.528 156.565 Td [(lo)-28(c)]TJ 0 g 0 G [-747(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(89)]TJ + [-1083(94)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -52.879 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 180.923 cm +1 0 0 1 181.246 144.684 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 180.724 Td [(lo)-28(c)]TJ +/F8 9.9626 Tf 184.235 144.485 Td [(lo)-28(c)]TJ ET q -1 0 0 1 197.286 180.923 cm +1 0 0 1 197.286 144.684 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 200.275 180.724 Td [(to)]TJ +/F8 9.9626 Tf 200.275 144.485 Td [(to)]TJ ET q -1 0 0 1 209.728 180.923 cm +1 0 0 1 209.728 144.684 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 212.717 180.724 Td [(glob)]TJ +/F8 9.9626 Tf 212.717 144.485 Td [(glob)]TJ 0 g 0 G [-748(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(91)]TJ + [-1083(96)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -47.068 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 168.844 cm +1 0 0 1 181.246 132.605 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 168.644 Td [(is)]TJ +/F8 9.9626 Tf 184.235 132.405 Td [(is)]TJ ET q -1 0 0 1 191.53 168.844 cm +1 0 0 1 191.53 132.605 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 194.518 168.644 Td [(o)28(wned)]TJ +/F8 9.9626 Tf 194.518 132.405 Td [(o)28(wned)]TJ 0 g 0 G [-880(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(92)]TJ + [-1084(97)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -28.869 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 156.764 cm +1 0 0 1 181.246 120.525 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 156.565 Td [(o)28(wned)]TJ +/F8 9.9626 Tf 184.235 120.326 Td [(o)28(wned)]TJ ET q -1 0 0 1 212.23 156.764 cm +1 0 0 1 212.23 120.525 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 215.219 156.565 Td [(index)]TJ +/F8 9.9626 Tf 215.219 120.326 Td [(index)]TJ 0 g 0 G [-746(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(93)]TJ + [-1083(98)]TJ +0 g 0 G +0 g 0 G + 104.574 -29.888 Td [(ii)]TJ +0 g 0 G +ET + +endstream +endobj +730 0 obj +<< +/Length 19093 +>> +stream +0 g 0 G 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.57 -12.08 Td [(psb)]TJ +BT +/F8 9.9626 Tf 114.839 706.129 Td [(psb)]TJ ET q -1 0 0 1 181.246 144.684 cm +1 0 0 1 130.436 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 144.485 Td [(is)]TJ +/F8 9.9626 Tf 133.425 706.129 Td [(is)]TJ ET q -1 0 0 1 191.53 144.684 cm +1 0 0 1 140.72 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 194.518 144.485 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 143.709 706.129 Td [(lo)-28(cal)]TJ 0 g 0 G - [-824(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-824(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(94)]TJ + [-1084(99)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -28.869 -12.08 Td [(psb)]TJ + -28.87 -12.653 Td [(psb)]TJ ET q -1 0 0 1 181.246 132.605 cm +1 0 0 1 130.436 693.675 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 132.405 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 133.425 693.476 Td [(lo)-28(cal)]TJ ET q -1 0 0 1 205.035 132.605 cm +1 0 0 1 154.225 693.675 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 208.023 132.405 Td [(index)]TJ +/F8 9.9626 Tf 157.214 693.476 Td [(index)]TJ 0 g 0 G - [-691(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-691(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(95)]TJ + [-584(100)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.374 -12.079 Td [(psb)]TJ + -42.375 -12.654 Td [(psb)]TJ ET q -1 0 0 1 181.246 120.525 cm +1 0 0 1 130.436 681.022 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 120.326 Td [(get)]TJ +/F8 9.9626 Tf 133.425 680.822 Td [(get)]TJ ET q -1 0 0 1 198.116 120.525 cm +1 0 0 1 147.307 681.022 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.105 120.326 Td [(b)-28(oundary)]TJ +/F8 9.9626 Tf 150.295 680.822 Td [(b)-28(oundary)]TJ 0 g 0 G [-354(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(96)]TJ -0 g 0 G -0 g 0 G - 118.688 -29.888 Td [(ii)]TJ -0 g 0 G -ET - -endstream -endobj -715 0 obj -<< -/Length 18018 ->> -stream -0 g 0 G + [-583(101)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -BT -/F8 9.9626 Tf 114.839 706.129 Td [(psb)]TJ + -35.456 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 706.328 cm +1 0 0 1 130.436 668.368 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 706.129 Td [(get)]TJ +/F8 9.9626 Tf 133.425 668.169 Td [(get)]TJ ET q -1 0 0 1 147.307 706.328 cm +1 0 0 1 147.307 668.368 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 150.295 706.129 Td [(o)28(v)28(e)-1(r)1(lap)]TJ +/F8 9.9626 Tf 150.295 668.169 Td [(o)28(v)28(e)-1(r)1(lap)]TJ 0 g 0 G [-605(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(97)]TJ + [-584(102)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -11.955 Td [(psb)]TJ + -35.456 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 694.373 cm +1 0 0 1 130.436 655.715 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 694.174 Td [(sp)]TJ +/F8 9.9626 Tf 133.425 655.516 Td [(sp)]TJ ET q -1 0 0 1 143.488 694.373 cm +1 0 0 1 143.488 655.715 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 146.476 694.174 Td [(getro)28(w)]TJ +/F8 9.9626 Tf 146.476 655.516 Td [(getro)28(w)]TJ 0 g 0 G [-433(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(98)]TJ + [-584(103)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.637 -11.955 Td [(psb)]TJ + -31.637 -12.654 Td [(psb)]TJ ET q -1 0 0 1 130.436 682.418 cm +1 0 0 1 130.436 643.062 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 682.219 Td [(sizeof)]TJ +/F8 9.9626 Tf 133.425 642.862 Td [(sizeof)]TJ 0 g 0 G [-740(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(100)]TJ + [-584(105)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.956 Td [(Sorting)-333(utilities)]TJ + -18.586 -12.653 Td [(Sorting)-333(utilities)]TJ 0 g 0 G [-519(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(101)]TJ + [-583(106)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -14.944 -21.917 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ +/F27 9.9626 Tf -14.944 -23.081 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ 0 g 0 G - [-16316(103)]TJ + [-16316(108)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -11.956 Td [(psb)]TJ +/F8 9.9626 Tf 14.944 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 636.59 cm +1 0 0 1 130.436 594.674 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 636.39 Td [(init)]TJ +/F8 9.9626 Tf 133.425 594.475 Td [(init)]TJ 0 g 0 G [-829(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(104)]TJ + [-583(109)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.654 Td [(psb)]TJ ET q -1 0 0 1 130.436 624.634 cm +1 0 0 1 130.436 582.021 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 624.435 Td [(info)]TJ +/F8 9.9626 Tf 133.425 581.821 Td [(info)]TJ 0 g 0 G [-690(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(105)]TJ + [-584(110)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 612.679 cm +1 0 0 1 130.436 569.367 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 612.48 Td [(exit)]TJ +/F8 9.9626 Tf 133.425 569.168 Td [(exit)]TJ 0 g 0 G [-690(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(106)]TJ + [-584(111)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 600.724 cm +1 0 0 1 130.436 556.714 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 600.525 Td [(get)]TJ +/F8 9.9626 Tf 133.425 556.515 Td [(get)]TJ ET q -1 0 0 1 147.307 600.724 cm +1 0 0 1 147.307 556.714 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 150.295 600.525 Td [(mpicomm)]TJ +/F8 9.9626 Tf 150.295 556.515 Td [(mpicomm)]TJ 0 g 0 G [-1024(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(107)]TJ + [-583(112)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -11.955 Td [(psb)]TJ + -35.456 -12.654 Td [(psb)]TJ ET q -1 0 0 1 130.436 588.769 cm +1 0 0 1 130.436 544.061 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 588.57 Td [(get)]TJ +/F8 9.9626 Tf 133.425 543.861 Td [(get)]TJ ET q -1 0 0 1 147.307 588.769 cm +1 0 0 1 147.307 544.061 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 150.295 588.57 Td [(rank)]TJ +/F8 9.9626 Tf 150.295 543.861 Td [(rank)]TJ 0 g 0 G [-994(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(108)]TJ + [-584(113)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -11.955 Td [(psb)]TJ + -35.456 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 576.814 cm +1 0 0 1 130.436 531.407 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 576.615 Td [(wtime)]TJ +/F8 9.9626 Tf 133.425 531.208 Td [(wtime)]TJ 0 g 0 G [-440(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(109)]TJ + [-584(114)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.956 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 564.859 cm +1 0 0 1 130.436 518.754 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 564.659 Td [(barrier)]TJ +/F8 9.9626 Tf 133.425 518.555 Td [(barrier)]TJ 0 g 0 G [-931(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ 0 g 0 G - [-584(110)]TJ + [-584(115)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 552.903 cm +1 0 0 1 130.436 506.101 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 552.704 Td [(ab)-28(ort)]TJ +/F8 9.9626 Tf 133.425 505.902 Td [(ab)-28(ort)]TJ 0 g 0 G [-742(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(111)]TJ + [-584(116)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.654 Td [(psb)]TJ ET q -1 0 0 1 130.436 540.948 cm +1 0 0 1 130.436 493.448 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 540.749 Td [(b)-28(cast)]TJ +/F8 9.9626 Tf 133.425 493.248 Td [(b)-28(cast)]TJ 0 g 0 G [-795(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(112)]TJ + [-584(117)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 528.993 cm +1 0 0 1 130.436 480.794 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 528.794 Td [(sum)]TJ +/F8 9.9626 Tf 133.425 480.595 Td [(sum)]TJ 0 g 0 G [-546(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ 0 g 0 G - [-584(113)]TJ + [-584(118)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 517.038 cm +1 0 0 1 130.436 468.141 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 516.839 Td [(max)]TJ +/F8 9.9626 Tf 133.425 467.942 Td [(max)]TJ 0 g 0 G [-468(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(114)]TJ + [-583(119)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 505.083 cm +1 0 0 1 130.436 455.488 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 504.884 Td [(min)]TJ +/F8 9.9626 Tf 133.425 455.289 Td [(min)]TJ 0 g 0 G [-662(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(115)]TJ + [-584(120)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.956 Td [(psb)]TJ + -18.586 -12.654 Td [(psb)]TJ ET q -1 0 0 1 130.436 493.128 cm +1 0 0 1 130.436 442.835 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 492.928 Td [(amx)]TJ +/F8 9.9626 Tf 133.425 442.635 Td [(amx)]TJ 0 g 0 G [-468(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-583(116)]TJ + [-583(121)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 481.172 cm +1 0 0 1 130.436 430.181 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 480.973 Td [(amn)]TJ +/F8 9.9626 Tf 133.425 429.982 Td [(amn)]TJ 0 g 0 G [-440(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(117)]TJ + [-584(122)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 469.217 cm +1 0 0 1 130.436 417.528 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 469.018 Td [(nrm2)]TJ +/F8 9.9626 Tf 133.425 417.329 Td [(nrm2)]TJ 0 g 0 G [-826(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(118)]TJ + [-584(123)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.654 Td [(psb)]TJ ET q -1 0 0 1 130.436 457.262 cm +1 0 0 1 130.436 404.875 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 457.063 Td [(snd)]TJ +/F8 9.9626 Tf 133.425 404.675 Td [(snd)]TJ 0 g 0 G [-823(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(119)]TJ + [-584(124)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 445.307 cm +1 0 0 1 130.436 392.221 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 445.108 Td [(rcv)]TJ +/F8 9.9626 Tf 133.425 392.022 Td [(rcv)]TJ 0 g 0 G [-965(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(120)]TJ + [-584(125)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -33.53 -21.918 Td [(8)-925(Error)-383(handling)]TJ +/F27 9.9626 Tf -33.53 -23.081 Td [(8)-925(Error)-383(handling)]TJ 0 g 0 G - [-23812(121)]TJ + [-23812(126)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -11.955 Td [(psb)]TJ +/F8 9.9626 Tf 14.944 -12.654 Td [(psb)]TJ ET q -1 0 0 1 130.436 411.434 cm +1 0 0 1 130.436 356.487 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 411.235 Td [(errpush)]TJ +/F8 9.9626 Tf 133.425 356.288 Td [(errpush)]TJ 0 g 0 G [-595(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(123)]TJ + [-584(128)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.955 Td [(psb)]TJ + -18.586 -12.654 Td [(psb)]TJ ET q -1 0 0 1 130.436 399.479 cm +1 0 0 1 130.436 343.833 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 399.28 Td [(error)]TJ +/F8 9.9626 Tf 133.425 343.634 Td [(error)]TJ 0 g 0 G [-987(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(124)]TJ + [-584(129)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -11.956 Td [(psb)]TJ + -18.586 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 387.524 cm +1 0 0 1 130.436 331.18 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 387.324 Td [(set)]TJ +/F8 9.9626 Tf 133.425 330.981 Td [(set)]TJ ET q -1 0 0 1 146.255 387.524 cm +1 0 0 1 146.255 331.18 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 149.244 387.324 Td [(errv)28(erb)-28(osit)28(y)]TJ +/F8 9.9626 Tf 149.244 330.981 Td [(errv)28(erb)-28(osit)28(y)]TJ 0 g 0 G [-977(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(125)]TJ + [-584(130)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -34.405 -11.955 Td [(psb)]TJ + -34.405 -12.653 Td [(psb)]TJ ET q -1 0 0 1 130.436 375.568 cm +1 0 0 1 130.436 318.527 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 375.369 Td [(set)]TJ +/F8 9.9626 Tf 133.425 318.328 Td [(set)]TJ ET q -1 0 0 1 146.255 375.568 cm +1 0 0 1 146.255 318.527 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 149.244 375.369 Td [(erraction)]TJ +/F8 9.9626 Tf 149.244 318.328 Td [(erraction)]TJ 0 g 0 G [-735(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ 0 g 0 G - [-584(126)]TJ + [-584(131)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -49.349 -21.918 Td [(9)-925(Utilities)]TJ +/F27 9.9626 Tf -49.349 -23.082 Td [(9)-925(Utilities)]TJ 0 g 0 G - [-27238(127)]TJ + [-27238(132)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -11.955 Td [(h)28(b)]TJ +/F8 9.9626 Tf 14.944 -12.653 Td [(h)28(b)]TJ ET q -1 0 0 1 126.23 341.695 cm +1 0 0 1 126.23 282.792 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 129.219 341.496 Td [(read)]TJ +/F8 9.9626 Tf 129.219 282.593 Td [(read)]TJ 0 g 0 G [-859(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(128)]TJ + [-584(133)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -14.38 -11.955 Td [(h)28(b)]TJ + -14.38 -12.653 Td [(h)28(b)]TJ ET q -1 0 0 1 126.23 329.74 cm +1 0 0 1 126.23 270.139 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 129.219 329.541 Td [(write)]TJ +/F8 9.9626 Tf 129.219 269.94 Td [(write)]TJ 0 g 0 G [-526(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(129)]TJ + [-584(134)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -14.38 -11.955 Td [(mm)]TJ + -14.38 -12.654 Td [(mm)]TJ ET q -1 0 0 1 132.042 317.785 cm +1 0 0 1 132.042 257.486 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 135.03 317.586 Td [(mat)]TJ +/F8 9.9626 Tf 135.03 257.286 Td [(mat)]TJ ET q -1 0 0 1 152.786 317.785 cm +1 0 0 1 152.786 257.486 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 155.775 317.586 Td [(read)]TJ +/F8 9.9626 Tf 155.775 257.286 Td [(read)]TJ 0 g 0 G [-527(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(130)]TJ + [-584(135)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -40.936 -11.955 Td [(mm)]TJ + -40.936 -12.653 Td [(mm)]TJ ET q -1 0 0 1 132.042 305.83 cm +1 0 0 1 132.042 244.832 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 135.03 305.631 Td [(arra)28(y)]TJ +/F8 9.9626 Tf 135.03 244.633 Td [(arra)28(y)]TJ ET q -1 0 0 1 158.376 305.83 cm +1 0 0 1 158.376 244.832 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT 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-ʄlGUWZmL:`"2?5.,_2:dzj̸<,Vz;m\ҋ +5@;L p63I+LK| y`3XC[*?zmĹYy,Aq}GESl(cx[3a_b)q!vSSPP?GD)D٥o)pCJ# 8x!A?ޜ4oJs[BxLt]U p6|ɧmy&`a6 tpz'פ|Q 1oYb ZWDjcQea)r|?nMĆh9ZQ \VC{?[d y[K0yEGV+߄C|3H42ju#?K=cў p>db HnMl%:HQûz!F\DB,hjŔ5) h Pvܥ>' [ -e@<щP.8+r9|Lh02+cb=]s:ַߜ={\{x}sV='фna;/?d9qt]QfыC -,xC; N 2kܶjPңdֱC~ M\THr`AM} esXnS?=tG[G>w=0aK6nogm7ڣxo[|=:w≯gCXUtrf47jH2 )=-KO.({(BA")Jah y4/p6@S ;`#ёjn:0={aәx P]Q9:7gw:@I> stream 0 g 0 G 0 g 0 G 0 g 0 G -0 g 0 G -0 g 0 G BT -/F46 8.9664 Tf 205.966 645.656 Td [(Pro)-29(cess)-342(0)-8224(Pro)-28(cess)-343(1)]TJ -33.967 -10.959 Td [(I)-1333(GLOB\050I\051)-1334(X\050I\051)-4656(I)-1334(GLOB\050I\051)-1333(X\050I\051)]TJ -1.281 -10.959 Td [(1)-4966(1)-1961(1.0)-4514(1)-4452(33)-1961(2.0)]TJ 0 -10.959 Td [(2)-4966(2)-1961(1.0)-4514(2)-4452(34)-1961(2.0)]TJ 0 -10.959 Td [(3)-4966(3)-1961(1.0)-4514(3)-4452(35)-1961(2.0)]TJ 0 -10.959 Td [(4)-4966(4)-1961(1.0)-4514(4)-4452(36)-1961(2.0)]TJ 0 -10.959 Td [(5)-4966(5)-1961(1.0)-4514(5)-4452(37)-1961(2.0)]TJ 0 -10.959 Td [(6)-4966(6)-1961(1.0)-4514(6)-4452(38)-1961(2.0)]TJ 0 -10.959 Td [(7)-4966(7)-1961(1.0)-4514(7)-4452(39)-1961(2.0)]TJ 0 -10.958 Td [(8)-4966(8)-1961(1.0)-4514(8)-4452(40)-1961(2.0)]TJ 0 -10.959 Td [(9)-4966(9)-1961(1.0)-4514(9)-4452(41)-1961(2.0)]TJ -4.608 -10.959 Td [(10)-4452(10)-1961(1.0)-4000(10)-4452(42)-1961(2.0)]TJ 0 -10.959 Td [(11)-4452(11)-1961(1.0)-4000(11)-4452(43)-1961(2.0)]TJ 0 -10.959 Td [(12)-4452(12)-1961(1.0)-4000(12)-4452(44)-1961(2.0)]TJ 0 -10.959 Td [(13)-4452(13)-1961(1.0)-4000(13)-4452(45)-1961(2.0)]TJ 0 -10.959 Td [(14)-4452(14)-1961(1.0)-4000(14)-4452(46)-1961(2.0)]TJ 0 -10.959 Td [(15)-4452(15)-1961(1.0)-4000(15)-4452(47)-1961(2.0)]TJ 0 -10.959 Td [(16)-4452(16)-1961(1.0)-4000(16)-4452(48)-1961(2.0)]TJ 0 -10.959 Td [(17)-4452(17)-1961(1.0)-4000(17)-4452(49)-1961(2.0)]TJ 0 -10.958 Td [(18)-4452(18)-1961(1.0)-4000(18)-4452(50)-1961(2.0)]TJ 0 -10.959 Td [(19)-4452(19)-1961(1.0)-4000(19)-4452(51)-1961(2.0)]TJ 0 -10.959 Td [(20)-4452(20)-1961(1.0)-4000(20)-4452(52)-1961(2.0)]TJ 0 -10.959 Td [(21)-4452(21)-1961(1.0)-4000(21)-4452(53)-1961(2.0)]TJ 0 -10.959 Td [(22)-4452(22)-1961(1.0)-4000(22)-4452(54)-1961(2.0)]TJ 0 -10.959 Td [(23)-4452(23)-1961(1.0)-4000(23)-4452(55)-1961(2.0)]TJ 0 -10.959 Td [(24)-4452(24)-1961(1.0)-4000(24)-4452(56)-1961(2.0)]TJ 0 -10.959 Td [(25)-4452(25)-1961(1.0)-4000(25)-4452(57)-1961(2.0)]TJ 0 -10.959 Td [(26)-4452(26)-1961(1.0)-4000(26)-4452(58)-1961(2.0)]TJ 0 -10.959 Td [(27)-4452(27)-1961(1.0)-4000(27)-4452(59)-1961(2.0)]TJ 0 -10.958 Td [(28)-4452(28)-1961(1.0)-4000(28)-4452(60)-1961(2.0)]TJ 0 -10.959 Td [(29)-4452(29)-1961(1.0)-4000(29)-4452(61)-1961(2.0)]TJ 0 -10.959 Td [(30)-4452(30)-1961(1.0)-4000(30)-4452(62)-1961(2.0)]TJ 0 -10.959 Td [(31)-4452(31)-1961(1.0)-4000(31)-4452(63)-1961(2.0)]TJ 0 -10.959 Td [(32)-4452(32)-1961(1.0)-4000(32)-4452(64)-1961(2.0)]TJ 0 -10.959 Td [(33)-4452(33)-1961(2.0)-4000(33)-4452(25)-1961(1.0)]TJ 0 -10.959 Td [(34)-4452(34)-1961(2.0)-4000(34)-4452(26)-1961(1.0)]TJ 0 -10.959 Td [(35)-4452(35)-1961(2.0)-4000(35)-4452(27)-1961(1.0)]TJ 0 -10.959 Td [(36)-4452(36)-1961(2.0)-4000(36)-4452(28)-1961(1.0)]TJ 0 -10.959 Td [(37)-4452(37)-1961(2.0)-4000(37)-4452(29)-1961(1.0)]TJ 0 -10.958 Td [(38)-4452(38)-1961(2.0)-4000(38)-4452(30)-1961(1.0)]TJ 0 -10.959 Td [(39)-4452(39)-1961(2.0)-4000(39)-4452(31)-1961(1.0)]TJ 0 -10.959 Td [(40)-4452(40)-1961(2.0)-4000(40)-4452(32)-1961(1.0)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G -/F8 9.9626 Tf 100.66 -105.903 Td [(55)]TJ + 141.968 -567.87 Td [(53)]TJ 0 g 0 G ET endstream endobj -1218 0 obj +1215 0 obj << -/Length 8482 +/Length 7410 >> stream 0 g 0 G @@ -12338,471 +12150,643 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(o)31(vrl)-375(|)-375(Ov)31(erlap)-375(Up)-31(date)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(These)-333(subroutines)-334(applies)-333(an)-333(o)27(v)28(erlap)-333(op)-28(erator)-333(to)-333(the)-334(input)-333(v)28(ector:)]TJ/F11 9.9626 Tf 154.475 -22.077 Td [(x)]TJ/F14 9.9626 Tf 8.461 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(Qx)]TJ/F8 9.9626 Tf -175.666 -20.14 Td [(where:)]TJ -0 g 0 G -/F11 9.9626 Tf 0 -18.503 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(dense)-333(submatrix)]TJ/F11 9.9626 Tf 131.092 0 Td [(x)]TJ +/F16 11.9552 Tf 175.796 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Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 370.782 531.291 cm +1 0 0 1 376.459 563.675 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 531.091 Td [(o)28(vrl)]TJ +/F8 9.9626 Tf 379.447 563.475 Td [(gediv)]TJ ET q -1 0 0 1 228.797 527.306 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 234.474 559.69 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 276.386 499.266 Td [(T)83(able)-333(15:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 276.386 531.65 Td [(T)83(able)-333(15:)-444(Data)-334(t)28(yp)-28(es)]TJ +0 g 0 G +0 g 0 G 0 g 0 G +/F27 9.9626 Tf -125.681 -33.312 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F27 9.9626 Tf -124.304 -28.465 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.844 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.844 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(v)27(ector)]TJ/F11 9.9626 Tf 173.627 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -165.442 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-627(an)-425(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ ET q -1 0 0 1 201.669 471 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 333.957 411.028 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 206.027 470.801 Td [(o)-137(v)-138(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F30 9.9626 Tf 337.095 410.829 Td [(T)]TJ ET q -1 0 0 1 276.854 471 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 280.965 470.801 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -128.883 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ -ET -q -1 0 0 1 201.669 459.045 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 206.027 458.846 Td [(o)-137(v)-138(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ -ET -q -1 0 0 1 276.854 459.045 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 342.953 411.028 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 280.965 458.846 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-846(u)-86(p)-86(d)-86(a)-85(t)-86(e)3(=)-13(u)-101(p)-102(d)-102(a)-102(t)-102(e)]TJ +/F30 9.9626 Tf 346.092 410.829 Td [(vect)]TJ ET q -1 0 0 1 415.44 459.045 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 367.64 411.028 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 419.443 458.846 Td [(t)-102(y)-102(p)-101(e)-365(,)-813(w)-52(o)-51(r)-52(k)37(=)38(w)-52(o)-52(r)-51(k)-158(\051)]TJ 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-11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(v)27(ector)]TJ/F11 9.9626 Tf 173.627 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -164.99 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-627(an)-425(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 347.39 cm +1 0 0 1 333.957 331.408 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 347.191 Td [(T)]TJ +/F30 9.9626 Tf 337.095 331.209 Td [(T)]TJ ET q -1 0 0 1 445.669 347.39 cm +1 0 0 1 342.953 331.408 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 347.191 Td [(vect)]TJ +/F30 9.9626 Tf 346.092 331.209 Td [(vect)]TJ ET q -1 0 0 1 470.356 347.39 cm +1 0 0 1 367.64 331.408 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 347.191 Td [(type)]TJ +/F30 9.9626 Tf 370.779 331.209 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ +/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.32 -11.955 Td [(t)28(yp)-28(e)-333(sp)-28(eci\014ed)-334(i)1(n)-334(T)84(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(15)]TJ + [-334(2)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.214 Td [(desc)]TJ +/F27 9.9626 Tf -24.906 -19.844 Td [(desc)]TJ ET q -1 0 0 1 172.619 316.221 cm +1 0 0 1 172.619 299.609 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 316.022 Td [(a)]TJ +/F27 9.9626 Tf 176.057 299.41 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 268.401 cm +1 0 0 1 327.588 251.788 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 268.201 Td [(desc)]TJ +/F30 9.9626 Tf 330.727 251.589 Td [(desc)]TJ ET q -1 0 0 1 387.532 268.401 cm +1 0 0 1 352.275 251.788 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 268.201 Td [(type)]TJ +/F30 9.9626 Tf 355.414 251.589 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.214 Td [(up)-32(date)]TJ +/F27 9.9626 Tf -225.63 -19.844 Td [(\015ag)]TJ 0 g 0 G -/F8 9.9626 Tf 39.67 0 Td [(Up)-28(date)-333(op)-28(erator.)]TJ +/F8 9.9626 Tf 22.644 0 Td [(c)28(hec)27(k)-351(if)-352(an)28(y)-352(of)-351(the)]TJ/F11 9.9626 Tf 84.211 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-308(=)-309(0,)-356(and)-351(in)-352(case)-352(returns)-351(error)-352(halting)-351(the)-352(compu-)]TJ -94.497 -11.955 Td [(tation.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 43.897 0 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -116.542 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(the)-333(logical)-333(v)55(alue)]TJ/F30 9.9626 Tf 131.784 0 Td [(flag=.true.)]TJ 0 g 0 G -/F27 9.9626 Tf -14.764 -31.169 Td [(up)-32(date)-383(=)-384(psb)]TJ +/F27 9.9626 Tf -156.69 -19.844 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.844 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(result)-333(submatrix)]TJ/F11 9.9626 Tf 162.364 0 Td [(x)]TJ/F8 9.9626 Tf 5.693 0 Td [(.)]TJ -154.179 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ +0 g 0 G +/F8 9.9626 Tf 112.356 -29.888 Td [(54)]TJ +0 g 0 G +ET + +endstream +endobj +1220 0 obj +<< +/Length 1487 +>> +stream +0 g 0 G +0 g 0 G +BT +/F8 9.9626 Tf 124.802 706.129 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-628(an)-424(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ ET q -1 0 0 1 244.786 218.017 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 283.148 694.373 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 248.223 217.818 Td [(none)]TJ +/F30 9.9626 Tf 286.286 694.174 Td [(T)]TJ ET q -1 0 0 1 272.62 218.017 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 292.144 694.373 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 281.039 217.818 Td [(Do)-333(nothing;)]TJ -0 g 0 G -/F27 9.9626 Tf -105.428 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ +/F30 9.9626 Tf 295.282 694.174 Td [(vect)]TJ ET q -1 0 0 1 244.786 202.789 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 316.831 694.373 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 248.223 202.589 Td [(add)]TJ +/F30 9.9626 Tf 319.969 694.174 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.319 -11.955 Td [(the)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(14)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +0 g 0 G + 141.968 -524.035 Td [(55)]TJ +0 g 0 G +ET + +endstream +endobj +1230 0 obj +<< +/Length 7473 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 267.21 202.789 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 275.628 202.589 Td [(Sum)-333(o)27(v)28(erlap)-333(en)28(tries,)-334(i.e.)-444(apply)]TJ/F11 9.9626 Tf 136.544 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(gein)31(v)-375(|)-375(En)31(trywise)-375(In)32(v)31(ersion)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-333(function)-334(computes)-333(the)-333(en)28(trywise)-334(in)28(v)28(erse)-334(of)-333(a)-333(v)27(ector)]TJ/F11 9.9626 Tf 250.201 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)-333(puts)-334(i)1(t)-334(in)28(to)]TJ/F11 9.9626 Tf 71.731 0 Td [(y)]TJ -184.133 -17.8 Td [(=)]TJ/F14 9.9626 Tf 7.748 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(1)]TJ/F11 9.9626 Tf 4.982 0 Td [(=x)]TJ/F8 9.9626 Tf 10.675 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.875 0 Td [(:)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -194.13 -17.8 Td [(psb_geinv\050x,)-525(y,)-525(desc_a,)-525(info,)-525([flag\051)]TJ +0 g 0 G +0 g 0 G 0 g 0 G -/F27 9.9626 Tf -250.617 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ ET q -1 0 0 1 244.786 187.56 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 234.474 633.574 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S Q BT -/F27 9.9626 Tf 248.223 187.36 Td [(a)32(vg)]TJ +/F11 9.9626 Tf 240.452 625.006 Td [(=)]TJ/F8 9.9626 Tf 4.981 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F27 9.9626 Tf 97.558 0 Td [(F)96(unction)]TJ ET q -1 0 0 1 265.937 187.56 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 234.474 621.22 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 274.355 187.36 Td [(Av)28(erage)-334(o)28(v)28(erlap)-333(en)27(tries,)-333(i.e.)-444(apply)]TJ/F11 9.9626 Tf 152.346 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.494 Td [(a)]TJ/F11 9.9626 Tf 4.82 1.494 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ -276.362 -19.214 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(update)]TJ +/F8 9.9626 Tf 240.452 612.652 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ ET q -1 0 0 1 245.048 144.435 cm +1 0 0 1 376.459 612.852 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 248.037 144.236 Td [(ty)-36(pe)]TJ/F8 9.9626 Tf 21.258 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(psb)]TJ +/F8 9.9626 Tf 379.447 612.652 Td [(gein)28(v)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ ET q -1 0 0 1 294.367 144.435 cm +1 0 0 1 376.459 600.897 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 297.356 144.236 Td [(av)-36(g)]TJ +/F8 9.9626 Tf 379.447 600.697 Td [(gein)28(v)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ ET q -1 0 0 1 313.516 144.435 cm +1 0 0 1 376.459 588.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 175.611 132.281 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(in)28(teger)-333(v)55(ariable.)]TJ +/F8 9.9626 Tf 379.447 588.742 Td [(gein)28(v)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +ET +q +1 0 0 1 376.459 576.986 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 379.447 576.787 Td [(gein)28(v)]TJ +ET +q +1 0 0 1 234.474 573.001 cm +[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S +Q 0 g 0 G - 141.968 -29.888 Td [(56)]TJ +BT +/F8 9.9626 Tf 276.386 544.962 Td [(T)83(able)-333(16:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G -ET - -endstream -endobj -1230 0 obj -<< -/Length 5866 ->> -stream 0 g 0 G 0 g 0 G +/F27 9.9626 Tf -125.681 -27.831 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -BT -/F27 9.9626 Tf 99.895 706.129 Td [(w)32(ork)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F8 9.9626 Tf 29.432 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(one)-333(dimensional)-334(ar)1(ra)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 252.609 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ +/F27 9.9626 Tf -33.797 -18.278 Td [(On)-383(En)32(try)]TJ 0 g 0 G -/F27 9.9626 Tf -283.21 -19.925 Td [(On)-383(Return)]TJ 0 g 0 G + 0 -18.278 Td [(x)]TJ 0 g 0 G - 0 -19.925 Td [(x)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(v)27(ector)]TJ/F11 9.9626 Tf 173.627 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -165.442 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-424(as:)-627(an)-425(ob)-56(ject)-424(of)-425(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 142.027 0 Td [(psb)]TJ +ET +q +1 0 0 1 333.957 432.953 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 337.095 432.754 Td [(T)]TJ +ET +q +1 0 0 1 342.953 432.953 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 346.092 432.754 Td [(vect)]TJ +ET +q +1 0 0 1 367.64 432.953 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 370.779 432.754 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(result)-333(matrix)]TJ/F11 9.9626 Tf 116.674 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -108.489 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-474(as:)-727(an)-475(arra)28(y)-474(of)-475(rank)-475(on)1(e)-475(or)-475(t)28(w)28(o)-475(con)28(taining)-474(n)27(u)1(m)27(b)-27(e)-1(r)1(s)-475(of)-475(t)28(yp)-28(e)]TJ 0 -11.955 Td [(sp)-28(eci\014ed)-333(in)-333(T)83(able)]TJ +/F8 9.9626 Tf 25.152 0 Td [(con)28(taining)-425(n)28(um)28(b)-28(ers)-425(of)]TJ -220.32 -11.955 Td [(t)28(yp)-28(e)-333(sp)-28(eci\014ed)-334(i)1(n)-334(T)84(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(15)]TJ + [-334(2)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -24.906 -18.278 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 402.72 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 402.521 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +ET +q +1 0 0 1 327.588 354.899 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 330.727 354.7 Td [(desc)]TJ +ET +q +1 0 0 1 352.275 354.899 cm +[]0 d 0 J 0.398 w 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[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 205.31 411.647 Td [(g)-123(a)-123(t)-123(h)-123(e)-123(r)-229(\050)-215(g)-110(l)-110(o)-110(b)]TJ +/F8 9.9626 Tf 230.155 470.801 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -128.883 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ ET q -1 0 0 1 270.682 411.847 cm +1 0 0 1 150.859 459.045 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 274.766 411.647 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +/F8 9.9626 Tf 155.217 458.846 Td [(o)-138(v)-137(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ ET q -1 0 0 1 312.009 411.847 cm +1 0 0 1 226.044 459.045 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 316.265 411.647 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F8 9.9626 Tf 230.155 458.846 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-847(u)-85(p)-86(d)-86(a)-85(t)-86(e)3(=)-13(u)-102(p)-101(d)-102(a)-102(t)-102(e)]TJ ET q -1 0 0 1 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[(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.748 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.795 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)]TJ/F14 9.9626 Tf 44.555 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1.)]TJ -0 g 0 G -/F27 9.9626 Tf -299.782 -19.505 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G -/F8 9.9626 Tf 166.874 -29.888 Td [(60)]TJ -0 g 0 G -ET - -endstream -endobj -1266 0 obj -<< -/Length 1455 ->> -stream +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -260.887 -19.214 Td [(up)-32(date)]TJ 0 g 0 G +/F8 9.9626 Tf 39.671 0 Td [(Up)-28(date)-333(op)-28(erator.)]TJ 0 g 0 G -BT -/F27 9.9626 Tf 99.895 706.129 Td [(glob)]TJ +/F27 9.9626 Tf -14.764 -31.169 Td [(up)-32(date)-383(=)-384(psb)]TJ ET q -1 0 0 1 121.587 706.328 cm +1 0 0 1 193.977 218.017 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.024 706.129 Td [(x)]TJ -0 g 0 G 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[(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ -0 g 0 G - 141.968 -500.124 Td [(61)]TJ -0 g 0 G -ET - -endstream -endobj -1273 0 obj -<< -/Length 7803 ->> -stream -0 g 0 G -0 g 0 G -BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 175.796 706.129 Td [(scatter)-375(|)-375(Scatter)-375(Global)-375(Dense)-375(Matrix)]TJ/F8 9.9626 Tf -25.091 -19.28 Td [(These)-315(subroutines)-315(scatters)-315(the)-315(p)-28(ortions)-315(of)-315(global)-315(dense)-315(matrix)-315(o)28(wned)-315(b)27(y)-315(a)-315(pro-)]TJ 0 -11.955 Td [(cess)-333(to)-334(all)-333(the)-333(pro)-28(cesses)-334(in)-333(the)-333(pro)-28(cesses)-334(grid.)]TJ/F11 9.9626 Tf 119.021 -25.291 Td [(l)-20(oc)]TJ -ET -q -1 0 0 1 282.633 649.802 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 285.622 649.603 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 6.084 1.494 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(scatter)]TJ/F8 9.9626 Tf 30.853 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(g)-36(l)-20(ob)]TJ -ET -q -1 0 0 1 362.838 649.802 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 365.827 649.603 Td [(x)]TJ/F8 9.9626 Tf 5.693 0 Td [(\051)]TJ -220.815 -22.875 Td [(where:)]TJ -0 g 0 G -/F11 9.9626 Tf 0 -21.361 Td [(g)-36(l)-19(o)-1(b)]TJ +/F27 9.9626 Tf 197.414 217.818 Td [(none)]TJ ET q -1 0 0 1 168.775 605.567 cm +1 0 0 1 221.811 218.017 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -BT -/F11 9.9626 Tf 172.212 605.367 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(g)-36(l)-20(ob)]TJ -ET -q -1 0 0 1 289.785 605.567 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q BT -/F11 9.9626 Tf 292.773 605.367 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.494 Td [(1:)]TJ/F10 6.9738 Tf 6.227 0 Td [(m;)]TJ/F7 6.9738 Tf 9.436 0 Td [(1:)]TJ/F10 6.9738 Tf 6.226 0 Td [(n)]TJ +/F8 9.9626 Tf 230.229 217.818 Td [(Do)-333(nothing;)]TJ 0 g 0 G -/F11 9.9626 Tf -169.651 -20.345 Td [(l)-20(oc)]TJ +/F27 9.9626 Tf -105.427 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ ET q -1 0 0 1 163.701 583.727 cm +1 0 0 1 193.977 202.789 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F11 9.9626 Tf 167.139 583.528 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ -0 g 0 G -/F8 9.9626 Tf 8.299 1.494 Td [(is)-333(the)-334(lo)-27(cal)-334(p)-28(or)1(tion)-334(of)-333(global)-333(dense)-334(matrix)-333(on)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 234.703 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(.)]TJ -0 g 0 G -/F11 9.9626 Tf -268.562 -21.839 Td [(scatter)]TJ -0 g 0 G -/F8 9.9626 Tf 35.834 0 Td [(is)-333(the)-334(scatter)-333(function.)]TJ -0 g 0 G -0 g 0 G -0 g 0 G -ET -q -1 0 0 1 228.797 539.65 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S -Q -BT -/F11 9.9626 Tf 234.775 531.082 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F11 9.9626 Tf 3.317 1.494 Td [(;)-167(y)]TJ/F27 9.9626 Tf 111.399 0 Td [(Subroutine)]TJ +/F27 9.9626 Tf 197.414 202.589 Td [(add)]TJ ET q -1 0 0 1 228.797 527.296 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 216.4 202.789 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q +0 g 0 G BT -/F8 9.9626 Tf 234.775 518.729 Td [(In)28(teger)-9028(psb)]TJ +/F8 9.9626 Tf 224.819 202.589 Td [(Sum)-333(o)27(v)28(erlap)-333(en)28(tries,)-334(i.e.)-444(apply)]TJ/F11 9.9626 Tf 136.544 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ +0 g 0 G +/F27 9.9626 Tf -250.617 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ ET q -1 0 0 1 370.782 518.928 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 193.977 187.56 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F8 9.9626 Tf 373.771 518.729 Td [(scatter)]TJ -138.996 -11.956 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F27 9.9626 Tf 197.414 187.36 Td [(a)32(vg)]TJ ET q -1 0 0 1 370.782 506.973 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 215.127 187.56 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q +0 g 0 G BT -/F8 9.9626 Tf 373.771 506.773 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F8 9.9626 Tf 223.546 187.36 Td [(Av)28(erage)-334(o)28(v)28(erlap)-333(en)27(tri)1(e)-1(s,)-333(i.e.)-444(apply)]TJ/F11 9.9626 Tf 152.345 0 Td [(P)]TJ/F10 6.9738 Tf 6.397 -1.494 Td [(a)]TJ/F11 9.9626 Tf 4.819 1.494 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ -276.361 -19.214 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(update)]TJ ET q -1 0 0 1 370.782 495.017 cm +1 0 0 1 194.239 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 494.818 Td [(scatter)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F11 9.9626 Tf 197.228 144.236 Td [(ty)-36(pe)]TJ/F8 9.9626 Tf 21.258 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(psb)]TJ ET q -1 0 0 1 370.782 483.062 cm +1 0 0 1 243.558 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 482.863 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F11 9.9626 Tf 246.547 144.236 Td [(av)-36(g)]TJ ET q -1 0 0 1 370.782 471.107 cm +1 0 0 1 262.706 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 470.908 Td [(scatter)]TJ +/F8 9.9626 Tf 124.802 132.281 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G + 141.968 -29.888 Td [(61)]TJ +0 g 0 G ET -q -1 0 0 1 228.797 467.122 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S -Q + +endstream +endobj +1289 0 obj +<< +/Length 5872 +>> +stream 0 g 0 G -BT -/F8 9.9626 Tf 276.386 439.083 Td [(T)83(able)-333(17:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -124.304 -33.261 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.99 0 Td [(p)-148(s)-149(b)]TJ -ET -q -1 0 0 1 202.107 406.021 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 206.575 405.822 Td [(s)-149(c)-148(a)-149(t)-148(t)-148(e)-149(r)-254(\050)-215(g)-110(l)-110(o)-110(b)]TJ -ET -q -1 0 0 1 276.66 406.021 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 280.744 405.822 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ -ET -q -1 0 0 1 317.987 406.021 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 322.243 405.822 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ -ET -q -1 0 0 1 366.519 406.021 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q BT -/F8 9.9626 Tf 370.63 405.822 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-864(r)-103(o)-103(o)-104(t)-367(,)-808(m)-47(o)-46(l)-47(d)-152(\051)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(w)32(ork)]TJ 0 g 0 G +/F8 9.9626 Tf 29.431 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(one)-333(dimensional)-334(arr)1(a)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 252.609 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -283.209 -19.925 Td [(On)-383(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -219.925 -30.766 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ + 0 -19.925 Td [(x)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -21.84 Td [(On)-383(En)32(try)]TJ +/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(result)-333(matrix)]TJ/F11 9.9626 Tf 116.674 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -108.49 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-474(as:)-727(an)-475(arra)28(y)-475(of)-474(rank)-475(one)-474(or)-475(t)28(w)28(o)-475(con)28(taining)-474(n)27(um)28(b)-28(ers)-474(of)-475(t)28(yp)-28(e)]TJ 0 -11.955 Td [(sp)-28(eci\014ed)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(18)]TJ 0 g 0 G + [(.)]TJ 0 g 0 G - 0 -21.839 Td [(glob)]TJ -ET -q -1 0 0 1 172.397 331.576 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 175.834 331.377 Td [(x)]TJ +/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(arra)27(y)-333(that)-333(m)28(ust)-334(b)-27(e)-334(scattered)-333(in)28(to)-334(lo)-28(cal)-333(pieces.)]TJ -11.251 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(or)-333(t)28(w)28(o)-334(arra)28(y)84(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(t)1(e)-1(d.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -21.839 Td [(desc)]TJ -ET -q -1 0 0 1 172.619 261.916 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 176.057 261.717 Td [(a)]TJ +/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 362.845 214.095 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 365.983 213.896 Td [(desc)]TJ -ET -q -1 0 0 1 387.532 214.095 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 390.67 213.896 Td [(type)]TJ + [-500(If)-316(there)-316(is)-317(no)-316(o)28(v)28(erlap)-316(in)-317(t)1(he)-317(data)-316(distribution)-316(asso)-28(ciated)-316(with)-316(the)-316(descrip-)]TJ 12.73 -11.955 Td [(tor,)-333(no)-334(op)-27(erations)-334(are)-333(p)-28(erformed;)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ + -12.73 -19.926 Td [(2.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.839 Td [(ro)-32(ot)]TJ + [-500(The)-351(op)-27(e)-1(r)1(ator)]TJ/F11 9.9626 Tf 73.738 0 Td [(P)]TJ/F10 6.9738 Tf 7.779 3.616 Td [(T)]TJ/F8 9.9626 Tf 9.77 -3.616 Td [(p)-28(erforms)-350(the)-351(reduction)-351(sum)-350(of)-351(o)28(v)27(erlap)-350(elemen)27(ts;)-359(it)-351(is)-350(a)]TJ -78.557 -11.955 Td [(\134prolongation")-365(op)-28(erator)]TJ/F11 9.9626 Tf 108.923 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.615 Td [(T)]TJ/F8 9.9626 Tf 9.914 -3.615 Td [(that)-365(replicates)-365(o)27(v)28(erlap)-365(elemen)28(ts,)-373(accoun)27(ting)]TJ -126.617 -11.955 Td [(for)-333(the)-334(ph)28(ysical)-333(replication)-333(of)-334(data;)]TJ +0 g 0 G + -12.73 -19.925 Td [(3.)]TJ 0 g 0 G -/F8 9.9626 Tf 25.93 0 Td [(The)-420(pro)-27(ce)-1(ss)-419(that)-420(holds)-419(the)-420(global)-420(cop)28(y)83(.)-703(If)]TJ/F11 9.9626 Tf 194.21 0 Td [(r)-28(oot)]TJ/F8 9.9626 Tf 22.228 0 Td [(=)]TJ/F14 9.9626 Tf 11.949 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-420(all)-419(the)-420(pro)-28(cesses)]TJ -237.16 -11.956 Td [(ha)28(v)28(e)-334(a)-333(cop)28(y)-334(of)-333(the)-333(global)-334(v)28(ector.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-344(as)-1(:)-467(an)-344(in)28(tege)-1(r)-344(v)55(ariabl)1(e)]TJ/F14 9.9626 Tf 142.757 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.937 0 Td [(\024)]TJ/F11 9.9626 Tf 10.705 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.983 0 Td [(\024)]TJ/F11 9.9626 Tf 10.704 0 Td [(np)]TJ/F14 9.9626 Tf 13.282 0 Td [(\000)]TJ/F8 9.9626 Tf 10.038 0 Td [(1,)-347(default)]TJ/F30 9.9626 Tf 44.809 0 Td [(psb_root_)]TJ/F8 9.9626 Tf 47.073 0 Td [(,)]TJ -316.037 -11.955 Td [(i.e.)-444(pro)-28(cess)-334(0.)]TJ + [-500(The)-256(op)-27(erator)]TJ/F11 9.9626 Tf 71.841 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.495 Td [(a)]TJ/F8 9.9626 Tf 7.365 1.495 Td [(p)-28(erforms)-255(a)-256(scaling)-255(on)-256(the)-255(o)28(v)27(erlap)-255(elemen)28(ts)-256(b)28(y)-256(th)1(e)-256(amoun)28(t)]TJ -72.872 -11.956 Td [(of)-290(repli)1(c)-1(ation)1(;)-305(th)28(us,)-298(when)-290(com)28(bined)-289(with)-290(the)-289(re)-1(d)1(uction)-290(op)-28(erator,)-298(it)-290(impl)1(e)-1(-)]TJ 0 -11.955 Td [(men)28(ts)-334(the)-333(a)28(v)28(erage)-334(of)-333(replicated)-333(ele)-1(men)28(ts)-333(o)28(v)27(er)-333(all)-333(of)-334(t)1(he)-1(i)1(r)-334(instances.)]TJ/F16 11.9552 Tf -24.906 -19.925 Td [(Example)-388(of)-387(us)-1(e)]TJ/F8 9.9626 Tf 93.468 0 Td [(Consider)-345(the)-344(discretization)-345(mesh)-345(d)1(e)-1(p)1(ic)-1(ted)-344(in)-345(\014g.)]TJ +0 0 1 rg 0 0 1 RG + [-344(8)]TJ +0 g 0 G + [(,)-348(parti-)]TJ -93.468 -11.955 Td [(tioned)-330(among)-330(t)28(w)27(o)-330(pro)-27(ce)-1(sses)-330(as)-330(sho)28(wn)-330(b)28(y)-331(th)1(e)-331(dashed)-330(lines,)-330(w)-1(i)1(th)-331(an)-330(o)28(v)28(erlap)-330(of)-330(1)]TJ 0 -11.955 Td [(extra)-360(la)28(y)28(er)-360(with)-359(resp)-28(ect)-360(to)-359(the)-360(partition)-359(of)-360(\014g.)]TJ +0 0 1 rg 0 0 1 RG + [-359(7)]TJ +0 g 0 G + [(;)-373(the)-359(data)-360(distribution)-359(is)-360(suc)28(h)]TJ 0 -11.956 Td [(that)-351(eac)27(h)-351(pro)-28(cess)-351(will)-351(o)27(wn)-351(40)-351(en)27(tries)-351(in)-351(the)-352(index)-351(space,)-356(with)-351(an)-352(o)28(v)28(erlap)-351(of)-352(16)]TJ 0 -11.955 Td [(en)28(tries)-326(placed)-325(at)-326(lo)-28(cal)-325(indices)-326(25)-326(through)-325(40;)-328(the)-326(halo)-325(will)-326(run)-325(from)-326(lo)-28(cal)-325(index)]TJ 0 -11.955 Td [(41)-290(through)-291(lo)-27(cal)-291(index)-290(48..)-430(If)-291(pro)-27(cess)-291(0)-290(assigns)-291(an)-290(initial)-290(v)55(alue)-290(of)-291(1)-290(to)-290(its)-291(en)28(tries)]TJ 0 -11.955 Td [(in)-298(the)]TJ/F11 9.9626 Tf 28.078 0 Td [(x)]TJ/F8 9.9626 Tf 8.663 0 Td [(v)28(ector,)-305(and)-298(pro)-28(cess)-298(1)-298(ass)-1(i)1(gns)-299(a)-298(v)56(alue)-298(of)-298(2,)-305(then)-298(after)-298(a)-298(call)-298(to)]TJ/F30 9.9626 Tf 265.127 0 Td [(psb_ovrl)]TJ/F8 9.9626 Tf -301.868 -11.955 Td [(with)]TJ/F30 9.9626 Tf 22.4 0 Td [(psb_avg_)]TJ/F8 9.9626 Tf 44.871 0 Td [(and)-304(a)-304(call)-304(to)]TJ/F30 9.9626 Tf 56.945 0 Td [(psb_halo_)]TJ/F8 9.9626 Tf 50.102 0 Td [(the)-304(con)28(ten)28(ts)-304(of)-304(the)-304(lo)-28(cal)-304(v)28(ectors)-304(will)-304(b)-28(e)]TJ -174.318 -11.955 Td 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[(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(arra)28(y)-334(of)-333(length)]TJ/F11 9.9626 Tf 165.048 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(,)-333(default)]TJ/F30 9.9626 Tf 39.574 0 Td [(.true.)]TJ/F8 9.9626 Tf 31.382 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -271.962 -19.344 Td [(lidx)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(User)-333(de\014ned)-334(lo)-27(cal)-334(indices)-333(for)]TJ/F30 9.9626 Tf 128.85 0 Td [(ja)]TJ/F8 9.9626 Tf 10.461 0 Td [(.)]TJ -138.162 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.547 0 Td [(nz)]TJ/F8 9.9626 Tf 11.052 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -208.506 -20.465 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf -297.883 -11.955 Td [(indicated)-333(in)-334(T)84(able)]TJ +0 0 1 rg 0 0 1 RG + [-334(19)]TJ 0 g 0 G + [(.)]TJ 0 g 0 G - 0 -19.344 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -19.505 Td [(desc)]TJ ET q -1 0 0 1 172.619 168.346 cm +1 0 0 1 121.81 267.131 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 168.146 Td [(a)]TJ +/F27 9.9626 Tf 125.247 266.932 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(up)-28(dated)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 120.525 cm +1 0 0 1 312.036 219.311 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 120.326 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 219.111 Td [(desc)]TJ ET q -1 0 0 1 387.532 120.525 cm +1 0 0 1 336.723 219.311 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 120.326 Td [(type)]TJ +/F30 9.9626 Tf 339.861 219.111 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -260.887 -19.505 Td [(ro)-32(ot)]TJ +0 g 0 G +/F8 9.9626 Tf 25.931 0 Td [(The)-291(pro)-28(cess)-291(that)-291(holds)-291(the)-291(global)-291(cop)28(y)83(.)-430(If)]TJ/F11 9.9626 Tf 182.522 0 Td [(r)-28(oot)]TJ/F8 9.9626 Tf 20.795 0 Td [(=)]TJ/F14 9.9626 Tf 10.516 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-291(all)-291(the)-291(pro)-28(cesses)-291(will)]TJ -222.606 -11.955 Td [(ha)28(v)28(e)-334(a)-333(cop)28(y)-334(of)-333(the)-333(global)-334(v)28(ector.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable)]TJ/F14 9.9626 Tf 142.079 0 Td [(\000)]TJ/F8 9.9626 Tf 7.748 0 Td [(1)]TJ/F14 9.9626 Tf 7.749 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.795 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)]TJ/F14 9.9626 Tf 44.555 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1.)]TJ +0 g 0 G +/F27 9.9626 Tf -299.783 -19.505 Td [(On)-383(Return)]TJ 0 g 0 G - -94.013 -29.888 Td [(68)]TJ +0 g 0 G +/F8 9.9626 Tf 166.875 -29.888 Td [(65)]TJ 0 g 0 G ET endstream endobj -1318 0 obj +1324 0 obj << -/Length 3156 +/Length 1459 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(ila)]TJ -0 g 0 G -/F8 9.9626 Tf 16.916 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(starting)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.991 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -208.506 -19.925 Td [(jla)]TJ -0 g 0 G -/F8 9.9626 Tf 17.234 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(end)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.673 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ/F16 11.9552 Tf -208.506 -21.918 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ -0 g 0 G - [-500(This)-333(routine)-334(ma)28(y)-333(only)-333(b)-28(e)-334(called)-333(if)-333(the)-333(des)-1(crip)1(tor)-334(is)-333(in)-333(the)-334(build)-333(state;)]TJ -0 g 0 G - 0 -19.925 Td [(2.)]TJ -0 g 0 G - [-500(This)-305(r)1(o)-1(u)1(tine)-305(automatically)-304(ignores)-305(edges)-305(that)-304(do)-305(not)-304(insist)-305(on)-304(the)-305(curren)28(t)]TJ 12.73 -11.955 Td [(pro)-28(cess,)-284(i.e)-1(.)-424(edges)-272(for)-273(whic)28(h)-272(neither)-273(the)-272(starting)-272(nor)-273(the)-272(end)-273(v)28(ertex)-272(b)-28(elong)]TJ 0 -11.955 Td [(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(glob)]TJ +ET +q +1 0 0 1 172.397 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 175.834 706.129 Td [(x)]TJ 0 g 0 G - -12.73 -19.926 Td [(3.)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(arra)27(y)-333(where)-333(the)-334(lo)-27(cal)-334(parts)-333(m)28(ust)-334(b)-27(e)-334(gathered.)]TJ -11.251 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(or)-333(t)28(w)28(o)-334(arra)28(y)-333(with)-333(the)]TJ/F30 9.9626 Tf 204.401 0 Td [(ALLOCATABLE)]TJ/F8 9.9626 Tf 60.855 0 Td [(attribute.)]TJ 0 g 0 G - [-500(The)-437(second)-438(form)-437(of)-437(this)-437(routine)-437(will)-438(b)-27(e)-438(useful)-437(when)-437(dealing)-437(with)-438(user-)]TJ 12.73 -11.955 Td [(sp)-28(eci\014ed)-333(index)-333(mappings;)-334(see)-333(also)]TJ -0 0 1 rg 0 0 1 RG - [-334(2.)1(3.1)]TJ +/F27 9.9626 Tf -290.162 -19.925 Td [(info)]TJ 0 g 0 G - [(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 141.968 -314.819 Td [(69)]TJ + 141.968 -500.124 Td [(66)]TJ 0 g 0 G ET endstream endobj -1327 0 obj +1330 0 obj << -/Length 4747 +/Length 7828 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 120.951 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(cdasb)-375(|)-375(Comm)31(unication)-375(descriptor)-375(assem)31(bly)-375(routine)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(desc)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(scatter)-375(|)-375(Scatter)-375(Global)-375(Dense)-375(Matrix)]TJ/F8 9.9626 Tf -25.091 -19.28 Td [(These)-315(subroutines)-315(scatters)-315(the)-315(p)-28(ortions)-315(of)-315(global)-315(dense)-315(matrix)-315(o)28(wned)-315(b)27(y)-315(a)-315(pro-)]TJ 0 -11.955 Td [(cess)-334(to)-333(all)-333(the)-334(p)1(ro)-28(cesses)-334(in)-333(the)-333(pro)-28(cesses)-334(grid.)]TJ/F11 9.9626 Tf 119.021 -25.291 Td [(l)-20(oc)]TJ ET q -1 0 0 1 172.619 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 231.823 649.802 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F11 9.9626 Tf 234.812 649.603 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 6.084 1.494 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(scatter)]TJ/F8 9.9626 Tf 30.853 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(g)-36(l)-19(o)-1(b)]TJ ET q -1 0 0 1 362.845 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 312.028 649.802 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ +/F11 9.9626 Tf 315.017 649.603 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ -220.816 -22.875 Td [(where:)]TJ +0 g 0 G +/F11 9.9626 Tf 0 -21.361 Td [(g)-36(l)-20(ob)]TJ ET q -1 0 0 1 387.532 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 117.965 605.567 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F30 9.9626 Tf 390.67 578.15 Td [(type)]TJ +/F11 9.9626 Tf 121.403 605.367 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(mold)]TJ -0 g 0 G -/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(index)-334(storage.)]TJ -4.899 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(a)-222(ob)-56(ject)-222(of)-222(t)28(yp)-28(e)-222(deriv)28(e)-1(d)-222(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 219.871 0 Td [(psb)]TJ +/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(g)-36(l)-19(ob)]TJ ET q -1 0 0 1 411.8 510.604 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 238.975 605.567 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 414.939 510.405 Td [(T)]TJ +/F11 9.9626 Tf 241.964 605.367 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.494 Td [(1:)]TJ/F10 6.9738 Tf 6.227 0 Td [(m;)]TJ/F7 6.9738 Tf 9.435 0 Td [(1:)]TJ/F10 6.9738 Tf 6.227 0 Td [(n)]TJ +0 g 0 G +/F11 9.9626 Tf -169.652 -20.345 Td [(l)-20(oc)]TJ ET q -1 0 0 1 420.797 510.604 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 112.892 583.727 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F11 9.9626 Tf 116.329 583.528 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ +0 g 0 G +/F8 9.9626 Tf 8.298 1.494 Td [(is)-333(the)-334(lo)-27(c)-1(al)-333(p)-28(ortion)-333(of)-333(global)-333(dense)-334(matrix)-333(on)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 234.704 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(.)]TJ +0 g 0 G +/F11 9.9626 Tf -268.562 -21.839 Td [(scatter)]TJ +0 g 0 G +/F8 9.9626 Tf 35.835 0 Td [(is)-333(the)-334(scatter)-333(function.)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +ET +q +1 0 0 1 177.988 539.65 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F30 9.9626 Tf 423.935 510.405 Td [(base)]TJ +/F11 9.9626 Tf 183.966 531.082 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ/F11 9.9626 Tf 3.317 1.494 Td [(;)-167(y)]TJ/F27 9.9626 Tf 111.399 0 Td [(Subroutine)]TJ ET q -1 0 0 1 445.484 510.604 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 177.988 527.296 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F30 9.9626 Tf 448.622 510.405 Td [(vect)]TJ +/F8 9.9626 Tf 183.966 518.729 Td [(In)28(teger)-9028(psb)]TJ ET q -1 0 0 1 470.171 510.604 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 319.972 518.928 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 322.961 518.729 Td [(scatter)]TJ -138.995 -11.956 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ +ET +q +1 0 0 1 319.972 506.973 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 322.961 506.773 Td [(scatter)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ +ET +q +1 0 0 1 319.972 495.017 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 322.961 494.818 Td [(scatter)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ +ET +q +1 0 0 1 319.972 483.062 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 473.309 510.405 Td [(type)]TJ/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 322.961 482.863 Td [(scatter)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +ET +q +1 0 0 1 319.972 471.107 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 322.961 470.908 Td [(scatter)]TJ +ET +q +1 0 0 1 177.988 467.122 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +Q 0 g 0 G -/F27 9.9626 Tf -343.526 -21.918 Td [(On)-383(Return)]TJ +BT +/F8 9.9626 Tf 225.577 439.083 Td [(T)83(able)-333(20:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(desc)]TJ +/F27 9.9626 Tf -124.305 -33.261 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.991 0 Td [(p)-148(s)-149(b)]TJ +ET +q +1 0 0 1 151.298 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 155.766 405.822 Td [(s)-148(c)-149(a)-148(t)-149(t)-148(e)-149(r)-254(\050)-215(g)-110(l)-110(o)-110(b)]TJ +ET +q +1 0 0 1 225.851 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 229.934 405.822 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +ET +q +1 0 0 1 267.178 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 271.433 405.822 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ +ET +q +1 0 0 1 315.709 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 319.82 405.822 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-864(r)-103(o)-103(o)-104(t)-367(,)-808(m)-47(o)-46(l)-47(d)-152(\051)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +/F27 9.9626 Tf -219.925 -30.766 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -21.84 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -21.839 Td [(glob)]TJ +ET +q +1 0 0 1 121.587 331.576 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.024 331.377 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(The)-333(arra)27(y)-333(that)-333(m)28(ust)-334(b)-27(e)-334(scattered)-333(in)28(to)-334(lo)-28(cal)-333(pieces.)]TJ -11.25 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(or)-334(t)28(w)28(o)-334(arra)28(y)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -21.839 Td [(desc)]TJ ET q -1 0 0 1 172.619 468.761 cm +1 0 0 1 121.81 261.916 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 468.561 Td [(a)]TJ +/F27 9.9626 Tf 125.247 261.717 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 420.94 cm +1 0 0 1 312.036 214.095 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 420.741 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 213.896 Td [(desc)]TJ ET q -1 0 0 1 387.532 420.94 cm +1 0 0 1 336.723 214.095 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 420.741 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F30 9.9626 Tf 339.861 213.896 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +/F27 9.9626 Tf -260.887 -21.839 Td [(ro)-32(ot)]TJ 0 g 0 G - [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(descriptor)-333(is)-333(in)-334(the)-333(assem)28(bled)-334(state.)]TJ +/F8 9.9626 Tf 25.931 0 Td [(The)-420(pro)-27(ces)-1(s)-419(that)-420(holds)-419(the)-420(global)-420(cop)28(y)83(.)-703(If)]TJ/F11 9.9626 Tf 194.21 0 Td [(r)-28(oot)]TJ/F8 9.9626 Tf 22.228 0 Td [(=)]TJ/F14 9.9626 Tf 11.949 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-420(all)-419(the)-420(pro)-28(cesses)]TJ -237.16 -11.956 Td [(ha)28(v)28(e)-334(a)-333(cop)28(y)-334(of)-333(the)-333(global)-334(v)28(ector.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-344(as:)-468(an)-344(in)28(teger)-345(v)55(ariab)1(le)]TJ/F14 9.9626 Tf 142.757 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.937 0 Td [(\024)]TJ/F11 9.9626 Tf 10.704 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.983 0 Td [(\024)]TJ/F11 9.9626 Tf 10.705 0 Td [(np)]TJ/F14 9.9626 Tf 13.281 0 Td [(\000)]TJ/F8 9.9626 Tf 10.038 0 Td [(1,)-348(defau)1(lt)]TJ/F30 9.9626 Tf 44.81 0 Td [(psb_root_)]TJ/F8 9.9626 Tf 47.073 0 Td [(,)]TJ -316.037 -11.955 Td [(i.e.)-444(pro)-28(cess)-334(0.)]TJ 0 g 0 G - 154.698 -220.714 Td [(70)]TJ + 141.968 -29.888 Td [(67)]TJ 0 g 0 G ET endstream endobj -1334 0 obj +1340 0 obj << -/Length 3277 +/Length 4181 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(mold)]TJ +0 g 0 G +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -4.899 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-273(as:)-414(an)-274(ob)-55(ject)-273(of)-274(a)-273(class)-273(deriv)28(ed)-274(from)]TJ/F30 9.9626 Tf 198.261 0 Td [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 390.19 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(cdcp)31(y)-375(|)-375(Copies)-375(a)-375(comm)31(unication)-375(descriptor)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(desc)]TJ +/F30 9.9626 Tf 393.329 658.308 Td [(T)]TJ ET q -1 0 0 1 121.81 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 399.186 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 125.247 625.971 Td [(in)]TJ -0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -14.974 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F30 9.9626 Tf 402.325 658.308 Td [(base)]TJ +ET +q +1 0 0 1 423.874 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 427.012 658.308 Td [(vect)]TJ +ET +q +1 0 0 1 448.561 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 451.699 658.308 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(;)-293(this)]TJ -297.009 -11.955 Td [(is)-333(only)-334(allo)28(w)28(ed)-333(when)-334(lo)-28(c)]TJ +ET +q +1 0 0 1 281.979 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 284.968 646.353 Td [(x)-333(is)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 52.36 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 578.35 cm +1 0 0 1 353.646 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 356.784 646.353 Td [(T)]TJ ET q -1 0 0 1 336.723 578.35 cm +1 0 0 1 362.642 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ +/F30 9.9626 Tf 365.781 646.353 Td [(vect)]TJ +ET +q +1 0 0 1 387.33 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 390.468 646.353 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -260.684 -19.925 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(desc)]TJ + 0 -19.926 Td [(lo)-32(c)]TJ ET q -1 0 0 1 121.81 536.507 cm +1 0 0 1 165.713 606.702 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 536.307 Td [(out)]TJ +/F27 9.9626 Tf 169.151 606.502 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 21.53 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(cop)28(y)83(.)]TJ -21.975 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.117 0 Td [(g)-36(l)-20(ob)]TJ +ET +q +1 0 0 1 374.277 606.702 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F11 9.9626 Tf 377.266 606.502 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -207.349 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-244(as:)-400(a)-244(rank)-244(on)1(e)-245(or)-243(t)27(w)28(o)-244(ALLOCA)83(T)84(ABLE)-244(arra)28(y)-244(or)-244(an)-244(ob)-56(ject)-244(of)-244(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 0 -11.955 Td [(psb)]TJ +ET +q +1 0 0 1 191.93 546.926 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 195.068 546.727 Td [(T)]TJ ET q -1 0 0 1 312.036 488.686 cm +1 0 0 1 200.926 546.926 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 488.487 Td [(desc)]TJ +/F30 9.9626 Tf 204.065 546.727 Td [(vect)]TJ ET q -1 0 0 1 336.723 488.686 cm +1 0 0 1 225.613 546.926 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 488.487 Td [(type)]TJ +/F30 9.9626 Tf 228.752 546.727 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 24.242 0 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(the)-334(t)28(yp)-28(e)-333(indicated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(20)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ + [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F27 9.9626 Tf -102.289 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 141.968 -330.303 Td [(71)]TJ + 141.968 -388.543 Td [(68)]TJ 0 g 0 G ET endstream endobj -1339 0 obj +1344 0 obj << -/Length 2243 +/Length 6538 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 14.3462 Tf 99.895 706.129 Td [(6)-1125(Data)-375(managemen)31(t)-375(routines)]TJ/F16 11.9552 Tf 0 -23.814 Td [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 120.951 682.515 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(cdfree)-375(|)-375(F)94(rees)-375(a)-375(comm)31(unication)-375(descriptor)]TJ +/F16 11.9552 Tf 124.986 682.315 Td [(cdall)-375(|)-375(Allo)-31(cates)-375(a)-375(comm)31(unication)-375(descriptor)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,parts=parts\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vg=vg,[mg=mg,flag=flag]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,nl=nl\051)]TJ 0 -11.956 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,repl=.true.\051)]TJ/F8 9.9626 Tf 14.944 -20.107 Td [(This)-314(subroutine)-314(initializes)-315(the)-314(comm)28(unication)-314(descriptor)-314(as)-1(so)-27(ciated)-315(with)-314(an)]TJ -14.944 -11.955 Td [(index)-326(space.)-442(One)-326(of)-326(the)-327(option)1(al)-327(argumen)28(ts)]TJ/F30 9.9626 Tf 193.68 0 Td [(parts)]TJ/F8 9.9626 Tf 26.151 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vg)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(nl)]TJ/F8 9.9626 Tf 13.709 0 Td [(or)]TJ/F30 9.9626 Tf 12.133 0 Td [(repl)]TJ/F8 9.9626 Tf 24.171 0 Td [(m)28(ust)-326(b)-28(e)]TJ -308.859 -11.955 Td [(sp)-28(eci\014ed,)-333(thereb)28(y)-334(c)28(ho)-28(osing)-333(the)-333(sp)-28(eci\014c)-334(in)1(itialization)-334(strategy)84(.)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -18.477 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.201 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.201 Td [(icon)32(txt)]TJ 0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ 0 g 0 G - 0 -19.925 Td [(desc)]TJ -ET -q -1 0 0 1 172.619 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ +/F27 9.9626 Tf -24.907 -19.201 Td [(vg)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(to)-334(b)-27(e)-334(freed.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 362.845 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ -ET -q -1 0 0 1 387.532 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 390.67 578.15 Td [(type)]TJ +/F8 9.9626 Tf 16.757 0 Td [(Data)-333(allo)-28(cation:)-444(e)-1(ac)28(h)-333(index)]TJ/F11 9.9626 Tf 123.565 0 Td [(i)]TJ/F14 9.9626 Tf 6.199 0 Td [(2)-278(f)]TJ/F8 9.9626 Tf 14.391 0 Td [(1)]TJ/F11 9.9626 Tf 6.641 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 8.303 0 Td [(is)-333(allo)-28(cated)-333(to)-334(pro)-27(c)-1(ess)]TJ/F11 9.9626 Tf 99.266 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051.)]TJ -294.958 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F27 9.9626 Tf -24.907 -19.201 Td [(\015ag)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 22.644 0 Td [(Sp)-28(eci\014es)-333(whether)-334(en)28(tries)-333(in)]TJ/F11 9.9626 Tf 121.932 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 13.617 0 Td [(are)-333(zero-)-334(or)-333(one-based.)]TJ -133.286 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 135.409 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(1,)-333(default)-334(0.)]TJ +0 g 0 G +/F27 9.9626 Tf -164.744 -19.2 Td [(mg)]TJ 0 g 0 G +/F8 9.9626 Tf 20.258 0 Td [(the)-333(\050global\051)-334(n)28(um)28(b)-28(er)-333(of)-333(ro)27(ws)-333(of)-333(the)-334(pr)1(oblem)-1(.)]TJ 4.649 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-332(as:)-444(an)-333(in)28(teger)-333(v)56(alue.)-445(It)-332(is)-333(required)-332(if)]TJ/F30 9.9626 Tf 203.266 0 Td [(parts)]TJ/F8 9.9626 Tf 29.466 0 Td [(or)]TJ/F30 9.9626 Tf 12.197 0 Td [(repl)]TJ/F8 9.9626 Tf 24.235 0 Td [(is)-333(sp)-27(e)-1(ci\014)1(e)-1(d)1(,)]TJ -269.164 -11.955 Td [(it)-333(is)-334(optional)-333(if)]TJ/F30 9.9626 Tf 67.857 0 Td [(vg)]TJ/F8 9.9626 Tf 13.781 0 Td [(is)-333(sp)-28(eci\014ed.)]TJ 0 g 0 G - 0 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -106.545 -19.201 Td [(parts)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F8 9.9626 Tf 30.609 0 Td [(the)-333(subroutine)-334(th)1(at)-334(de\014nes)-333(the)-334(p)1(artitioning)-334(sc)28(heme.)]TJ -5.702 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 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[(In)-337(this)-338(case)-338(w)28(e)-337(ha)27(v)28(e)-337(a)-338(subroutine)-337(sp)-28(ecifying)-337(the)-338(mapping)-337(b)-28(et)28(w)28(ee)-1(n)]TJ -8.691 -11.955 Td [(global)-225(indices)-225(and)-225(pro)-28(cess/lo)-28(cal)-225(in)1(dex)-225(pairs.)-409(If)-225(this)-225(optional)-225(argu)1(m)-1(en)28(t)]TJ 0 -11.955 Td [(is)-316(sp)-28(eci\014ed,)-320(then)-316(it)-317(is)-316(mandatory)-316(to)-317(sp)-28(ecify)-316(the)-316(argumen)27(t)]TJ/F30 9.9626 Tf 251.563 0 Td [(mg)]TJ/F8 9.9626 Tf 13.612 0 Td [(as)-316(w)27(ell.)]TJ -265.175 -11.955 Td [(The)-333(subroutine)-334(m)28(ust)-333(conform)-333(to)-334(the)-333(follo)28(wing)-334(in)28(terface:)]TJ 0 g 0 G - 0 -21.484 Td [(desc)]TJ -ET -q -1 0 0 1 121.81 261.126 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.247 260.927 Td [(out)]TJ 0 g 0 G -/F8 9.9626 Tf 21.53 0 Td [(the)-333(extended)-334(comm)28(unication)-333(descriptor.)]TJ -21.975 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 10.461 -18.09 Td [(interface)]TJ 15.691 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ +0 g 0 G +/F8 9.9626 Tf 93.898 -29.888 Td [(70)]TJ +0 g 0 G ET -q -1 0 0 1 312.036 213.305 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q + +endstream +endobj +1356 0 obj +<< +/Length 10081 +>> +stream +0 g 0 G +0 g 0 G BT -/F30 9.9626 Tf 315.174 213.106 Td [(desc)]TJ +/F30 9.9626 Tf 183.332 706.129 Td [(integer,)-525(intent)-525(\050in\051)-1050(::)-525(glob_index,np,mg)]TJ 0 -11.955 Td [(integer,)-525(intent)-525(\050out\051)-525(::)-525(nv,)-525(pv\050*\051)]TJ -10.46 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/F8 9.9626 Tf -10.461 -17.586 Td [(The)-333(input)-334(argu)1(m)-1(en)28(ts)-333(are:)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -15.594 Td [(glob)]TJ ET q -1 0 0 1 336.723 213.305 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 168.412 637.283 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F30 9.9626 Tf 339.861 213.106 Td [(type)]TJ +/F27 9.9626 Tf 171.849 637.083 Td [(index)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 32.191 0 Td [(The)-333(global)-334(index)-333(to)-333(b)-28(e)-333(mapp)-28(ed;)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.484 Td [(info)]TJ +/F27 9.9626 Tf -57.32 -13.774 Td [(np)]TJ +0 g 0 G +/F8 9.9626 Tf 17.711 0 Td [(The)-333(n)27(um)28(b)-28(er)-333(of)-333(pro)-28(cesses)-333(in)-334(the)-333(mapping;)]TJ +0 g 0 G +/F27 9.9626 Tf -17.711 -13.774 Td [(mg)]TJ +0 g 0 G +/F8 9.9626 Tf 20.257 0 Td [(The)-333(total)-334(n)28(um)28(b)-28(er)-333(of)-333(global)-334(ro)28(ws)-333(in)-334(the)-333(mapping;)]TJ -20.257 -15.594 Td [(The)-333(output)-334(argu)1(m)-1(en)28(ts)-333(are:)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -15.594 Td [(n)32(v)]TJ +0 g 0 G +/F8 9.9626 Tf 17.075 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(en)28(tries)-334(in)]TJ/F30 9.9626 Tf 111.637 0 Td [(pv)]TJ/F8 9.9626 Tf 10.46 0 Td [(;)]TJ +0 g 0 G +/F27 9.9626 Tf -139.172 -13.774 Td [(p)32(v)]TJ +0 g 0 G +/F8 9.9626 Tf 17.075 0 Td [(A)-481(v)28(ector)-481(con)28(taining)-481(the)-481(ind)1(ice)-1(s)-480(of)-481(the)-481(pro)-28(cesses)-481(to)-481(whic)28(h)-481(the)]TJ 1.555 -11.955 Td [(global)-468(index)-468(should)-468(b)-28(e)-468(assigend;)-535(e)-1(ac)28(h)-468(en)28(try)-468(m)28(ust)-469(satisfy)-468(0)]TJ/F14 9.9626 Tf 270.508 0 Td [(\024)]TJ/F11 9.9626 Tf -270.508 -11.956 Td [(pv)]TJ/F8 9.9626 Tf 10.199 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 8.603 0 Td [(<)-475(np)]TJ/F8 9.9626 Tf 23.47 0 Td [(;)-510(if)]TJ/F11 9.9626 Tf 18.163 0 Td [(nv)-511(>)]TJ/F8 9.9626 Tf 28.373 0 Td [(1)-451(w)27(e)-451(ha)28(v)27(e)-451(an)-452(i)1(ndex)-452(assigned)-451(to)-452(m)28(ultiple)]TJ -96.115 -11.955 Td [(pro)-28(cesses,)-333(i.e.)-445(w)28(e)-333(ha)27(v)28(e)-333(an)-333(o)27(v)28(erlap)-333(among)-333(the)-334(sub)-28(domain)1(s)-1(.)]TJ +0 g 0 G +/F27 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ +0 g 0 G +/F8 9.9626 Tf 16.757 0 Td [(In)-398(t)1(his)-398(case)-398(the)-397(asso)-28(ciation)-398(b)-27(e)-1(t)28(w)28(een)-398(an)-397(index)-398(and)-397(a)-398(pro)-27(ces)-1(s)-397(is)-398(sp)-27(e)-1(c-)]TJ 5.161 -11.955 Td [(i\014ed)-456(via)-456(an)-456(in)28(teger)-457(v)28(ector)]TJ/F30 9.9626 Tf 120.742 0 Td [(vg\0501:mg\051)]TJ/F8 9.9626 Tf 41.843 0 Td [(;)-517(e)-1(ac)28(h)-456(index)]TJ/F11 9.9626 Tf 59.63 0 Td [(i)]TJ/F14 9.9626 Tf 8.238 0 Td [(2)-482(f)]TJ/F8 9.9626 Tf 16.429 0 Td [(1)]TJ/F11 9.9626 Tf 6.642 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 9.525 0 Td [(is)]TJ -290.189 -11.955 Td [(assigned)-449(to)-449(pro)-28(cess)]TJ/F11 9.9626 Tf 89.776 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)-792(The)-449(v)28(ector)]TJ/F30 9.9626 Tf 67.232 0 Td [(vg)]TJ/F8 9.9626 Tf 14.935 0 Td [(m)28(ust)-449(b)-28(e)-449(iden)28(tical)-450(on)-449(all)]TJ -189.546 -11.955 Td [(calling)-452(pro)-28(cesses;)-513(i)1(ts)-453(en)28(tries)-453(ma)28(y)-453(ha)28(v)28(e)-453(t)1(he)-453(ranges)-453(\0500)]TJ/F11 9.9626 Tf 236.604 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F14 9.9626 Tf 27.281 0 Td [(\000)]TJ/F8 9.9626 Tf 10.754 0 Td [(1\051)-453(or)]TJ -274.639 -11.955 Td [(\0501)]TJ/F11 9.9626 Tf 10.516 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F8 9.9626 Tf 24.276 0 Td [(\051)-347(according)-347(to)-347(the)-347(v)55(alu)1(e)-348(of)]TJ/F30 9.9626 Tf 119.292 0 Td [(flag)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)-486(The)-347(size)]TJ/F11 9.9626 Tf 47.231 0 Td [(mg)]TJ/F8 9.9626 Tf 17.314 0 Td [(ma)28(y)-347(b)-28(e)-347(sp)-28(ec-)]TJ -239.55 -11.955 Td [(i\014ed)-414(via)-414(the)-415(opti)1(onal)-415(argumen)28(t)]TJ/F30 9.9626 Tf 142.427 0 Td [(mg)]TJ/F8 9.9626 Tf 10.461 0 Td [(;)-455(the)-414(default)-414(is)-414(to)-414(use)-415(the)-414(en)28(tire)]TJ -152.888 -11.956 Td [(v)28(ector)]TJ/F30 9.9626 Tf 29.916 0 Td [(vg)]TJ/F8 9.9626 Tf 10.46 0 Td [(,)-333(th)27(u)1(s)-334(ha)28(ving)]TJ/F30 9.9626 Tf 60.108 0 Td [(mg=size\050vg\051)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -179.936 -15.593 Td [(vl)]TJ +0 g 0 G +/F8 9.9626 Tf 14.211 0 Td [(In)-356(this)-357(case)-356(w)28(e)-357(are)-356(sp)-28(ecifying)-356(the)-357(list)-356(of)-356(indices)]TJ/F30 9.9626 Tf 210.707 0 Td [(vl\0501:nl\051)]TJ/F8 9.9626 Tf 45.394 0 Td [(assigned)-356(to)]TJ -248.394 -11.955 Td [(the)-462(curren)28(t)-462(pro)-27(ces)-1(s;)-526(th)28(us,)-494(the)-461(global)-462(problem)-462(size)]TJ/F11 9.9626 Tf 229.323 0 Td [(mg)]TJ/F8 9.9626 Tf 18.457 0 Td [(is)-462(giv)28(en)-462(b)28(y)]TJ -247.78 -11.956 Td [(the)-405(range)-405(of)-404(the)-405(aggregate)-405(of)-405(the)-405(in)1(dividual)-405(v)28(ectors)]TJ/F30 9.9626 Tf 233.196 0 Td [(vl)]TJ/F8 9.9626 Tf 14.494 0 Td [(sp)-28(eci\014ed)-405(in)]TJ -247.69 -11.955 Td [(the)-481(calling)-481(p)1(ro)-28(cesses.)-887(The)-481(size)-481(ma)28(y)-481(b)-28(e)-481(sp)-27(eci\014ed)-481(via)-481(the)-481(optional)]TJ 0 -11.955 Td [(argumen)28(t)]TJ/F30 9.9626 Tf 44.85 0 Td [(nl)]TJ/F8 9.9626 Tf 10.461 0 Td [(;)-373(the)-361(defaul)1(t)-361(is)-360(to)-360(use)-360(the)-360(en)28(tire)-361(v)28(ector)]TJ/F30 9.9626 Tf 173.727 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-367(th)28(us)-360(ha)28(ving)]TJ/F30 9.9626 Tf -239.499 -11.955 Td [(nl=size\050vl\051)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)-419(If)]TJ/F30 9.9626 Tf 16.132 0 Td [(globalcheck=.true.)]TJ/F8 9.9626 Tf 96.699 0 Td [(the)-256(subroutine)-256(will)-256(c)27(h)1(e)-1(c)28(k)-256(ho)28(w)]TJ -170.365 -11.955 Td [(man)28(y)-255(times)-255(eac)28(h)-254(en)27(try)-254(in)-255(the)-254(global)-255(index)-254(s)-1(p)1(ac)-1(e)-254(\0501)]TJ/F11 9.9626 Tf 217.24 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F8 9.9626 Tf 27.14 0 Td [(\051)-255(is)-254(sp)-28(eci\014ed)]TJ -244.38 -11.955 Td [(in)-331(the)-331(input)-331(lists)]TJ/F30 9.9626 Tf 75.842 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-331(th)27(us)-331(all)1(o)27(wing)-331(for)-330(the)-331(prese)-1(n)1(c)-1(e)-330(of)-331(o)27(v)28(erlap)-331(in)-331(the)]TJ -86.303 -11.956 Td [(input,)-338(and)-337(c)28(hec)27(king)-337(for)-337(\134orphan")-337(indices.)-456(If)]TJ/F30 9.9626 Tf 194.743 0 Td [(globalcheck=.false.)]TJ/F8 9.9626 Tf 99.376 0 Td [(,)]TJ -294.119 -11.955 Td [(the)-409(s)-1(u)1(broutine)-410(will)-409(not)-410(c)28(hec)28(k)-410(for)-409(o)28(v)27(erlap,)-428(and)-409(ma)27(y)-409(b)-28(e)-409(signi\014can)27(tly)]TJ 0 -11.955 Td [(faster,)-362(but)-357(the)-357(user)-356(is)-357(implicitly)-356(g)-1(u)1(aran)27(teeing)-356(that)-357(there)-357(ar)1(e)-357(neither)]TJ 0 -11.955 Td [(orphan)-333(nor)-333(o)27(v)28(erlap)-333(indices.)]TJ +0 g 0 G +/F27 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(The)-463(optional)-462(argumen)28(t)]TJ/F30 9.9626 Tf 107.67 0 Td [(lidx)]TJ/F8 9.9626 Tf 25.531 0 Td [(is)-463(a)28(v)56(ailable)-463(for)-462(those)-463(cases)-463(in)-463(whi)1(c)27(h)]TJ -135.041 -11.955 Td [(the)-446(user)-446(has)-446(already)-446(established)-446(a)-446(global-to-lo)-28(cal)-446(mapping;)-502(if)-446(it)-446(is)]TJ 0 -11.955 Td [(sp)-28(eci\014ed,)-373(eac)28(h)-365(index)-365(in)]TJ/F30 9.9626 Tf 105.175 0 Td [(vl\050i\051)]TJ/F8 9.9626 Tf 29.789 0 Td [(will)-365(b)-28(e)-365(mapp)-28(ed)-365(to)-365(the)-365(corresp)-27(onding)]TJ -134.964 -11.955 Td [(lo)-28(cal)-392(index)]TJ/F30 9.9626 Tf 51.539 0 Td [(lidx\050i\051)]TJ/F8 9.9626 Tf 36.613 0 Td [(.)-621(When)-392(sp)-28(ecifying)-392(the)-392(argumen)28(t)]TJ/F30 9.9626 Tf 148.368 0 Td [(lidx)]TJ/F8 9.9626 Tf 24.828 0 Td [(the)-392(user)]TJ -261.348 -11.956 Td [(w)28(ould)-420(also)-420(lik)28(ely)-419(e)-1(mpl)1(o)27(y)]TJ/F30 9.9626 Tf 113.086 0 Td [(lidx)]TJ/F8 9.9626 Tf 25.103 0 Td [(in)-420(calls)-419(to)]TJ/F30 9.9626 Tf 48.576 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf 51.254 0 Td [(and)]TJ/F30 9.9626 Tf 20.232 0 Td [(local)]TJ/F8 9.9626 Tf 30.333 0 Td [(in)]TJ -288.584 -11.955 Td [(calls)-333(to)]TJ/F30 9.9626 Tf 34.371 0 Td [(psb_spins)]TJ/F8 9.9626 Tf 50.394 0 Td [(and)]TJ/F30 9.9626 Tf 19.372 0 Td [(psb_geins)]TJ/F8 9.9626 Tf 47.073 0 Td [(;)-333(see)-334(also)-333(sec.)]TJ +0 0 1 rg 0 0 1 RG + [-334(2.3.1)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -173.128 -15.593 Td [(nl)]TJ +0 g 0 G +/F8 9.9626 Tf 14.529 0 Td [(If)-307(this)-308(argumen)28(t)-307(is)-308(sp)-28(eci\014ed)-307(alone)-308(\050i.)1(e)-1(.)-435(without)]TJ/F30 9.9626 Tf 206.41 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(\051)-307(the)-308(result)-307(is)-308(a)-307(gen-)]TJ -209.482 -11.956 Td [(eralized)-313(ro)27(w-blo)-27(c)27(k)-313(distribution)-313(in)-314(whic)28(h)-313(eac)27(h)-313(pro)-28(cess)]TJ/F11 9.9626 Tf 232.18 0 Td [(I)]TJ/F8 9.9626 Tf 8.284 0 Td [(gets)-313(as)-1(signed)]TJ -240.464 -11.955 Td [(a)-333(consecutiv)27(e)-333(c)28(h)28(unk)-334(of)]TJ/F11 9.9626 Tf 101.342 0 Td [(N)]TJ/F10 6.9738 Tf 8.005 -1.494 Td [(I)]TJ/F8 9.9626 Tf 7.338 1.494 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(nl)]TJ/F8 9.9626 Tf 12.47 0 Td [(global)-333(indices.)]TJ +0 g 0 G +/F27 9.9626 Tf -161.589 -15.593 Td [(repl)]TJ +0 g 0 G +/F8 9.9626 Tf 24.498 0 Td [(This)-239(argumen)28(ts)-240(sp)-27(e)-1(ci\014es)-239(to)-239(replicate)-239(all)-239(indices)-240(on)-239(all)-239(pro)-28(cesses.)-413(This)]TJ -2.58 -11.956 Td [(is)-312(a)-311(sp)-28(ecial)-312(purp)-27(ose)-312(data)-312(allo)-27(cation)-312(that)-311(is)-312(useful)-312(in)-311(the)-312(construction)]TJ 0 -11.955 Td [(of)-333(some)-334(m)28(ultilev)28(el)-334(p)1(rec)-1(on)1(ditioners.)]TJ +0 g 0 G + -34.648 -19.579 Td [(2.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -23.476 Td [(Notes)]TJ + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(descriptor)-333(is)-333(in)-334(the)-333(build)-333(state.)]TJ 0 g 0 G -/F8 9.9626 Tf 166.875 -29.888 Td [(73)]TJ + 154.698 -29.888 Td [(71)]TJ 0 g 0 G ET endstream endobj -1351 0 obj +1361 0 obj << -/Length 1587 +/Length 2667 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F8 9.9626 Tf 162.881 706.129 Td [(1.)]TJ +/F8 9.9626 Tf 162.881 706.129 Td [(3.)]TJ 0 g 0 G - [-500(Sp)-28(ecifying)]TJ/F30 9.9626 Tf 60.092 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 70.801 0 Td [(for)-282(the)]TJ/F30 9.9626 Tf 31.376 0 Td [(extype)]TJ/F8 9.9626 Tf 34.189 0 Td [(argumen)28(t)-282(the)-282(u)1(s)-1(er)-281(will)-282(obtain)-281(a)]TJ -183.728 -11.955 Td [(descriptor)-258(for)-257(a)-258(domain)-257(partition)-258(in)-257(whic)28(h)-258(the)-257(additional)-258(la)28(y)28(ers)-258(are)-257(fetc)27(hed)]TJ 0 -11.955 Td 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[(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 408.985 cm +1 0 0 1 312.036 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 408.786 Td [(Tspmat)]TJ +/F30 9.9626 Tf 315.174 120.326 Td [(desc)]TJ ET q -1 0 0 1 347.183 408.985 cm +1 0 0 1 336.723 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 408.786 Td [(type)]TJ +/F30 9.9626 Tf 339.861 120.326 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.348 -19.926 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ -0 g 0 G - [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(sparse)-333(matrix)-333(is)-334(in)-333(the)-333(build)-334(state.)]TJ -0 g 0 G - 0 -19.926 Td [(2.)]TJ -0 g 0 G - [-500(The)-333(descriptor)-334(ma)28(y)-333(b)-28(e)-333(in)-334(either)-333(the)-333(build)-333(or)-334(assem)28(bled)-333(state.)]TJ -0 g 0 G - 0 -19.925 Td [(3.)]TJ -0 g 0 G - [-500(Pro)28(viding)-307(a)-308(go)-27(o)-28(d)-307(es)-1(timate)-307(for)-307(the)-307(n)27(um)28(b)-28(er)-307(of)-307(nonzero)-28(es)]TJ/F11 9.9626 Tf 254.288 0 Td [(nnz)]TJ/F8 9.9626 Tf 20.092 0 Td [(in)-307(the)-308(assem-)]TJ -261.65 -11.955 Td [(bled)-401(m)-1(atr)1(ix)-402(ma)28(y)-402(substan)28(tially)-401(impro)27(v)28(e)-401(p)-28(erformance)-402(in)-401(the)-402(matrix)-401(build)]TJ 0 -11.955 Td [(phase,)-458(as)-433(it)-432(will)-433(reduce)-433(or)-433(eliminate)-433(the)-433(need)-432(for)-433(\050p)-28(oten)28(tially)-433(m)28(ultiple\051)]TJ 0 -11.956 Td [(data)-333(reallo)-28(cations.)]TJ -0 g 0 G - 141.968 -133.042 Td [(75)]TJ + -94.012 -29.888 Td [(73)]TJ 0 g 0 G ET endstream endobj -1367 0 obj +1377 0 obj << -/Length 5725 +/Length 3163 >> stream 0 g 0 G 0 g 0 G -BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 175.796 706.129 Td [(spins)-321(|)-322(Insert)-321(a)-321(set)-321(of)-322(co)-31(e\016cien)31(ts)-321(in)31(to)-321(a)-321(sparse)-321(matrix)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -25.091 -19.775 Td [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 -11.955 Td [(call)-525(psb_spins\050nr,)-525(irw,)-525(irp,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -24.151 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -22.903 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -22.903 Td [(nz)]TJ 0 g 0 G -/F8 9.9626 Tf 16.438 0 Td [(the)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(co)-28(e\016cien)28(ts)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.469 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(sc)-1(alar)1(.)]TJ +BT +/F27 9.9626 Tf 150.705 706.129 Td [(info)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -22.903 Td [(nr)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G -/F8 9.9626 Tf 16.065 0 Td [(the)-333(n)28(um)27(b)-27(er)-334(of)-333(ro)28(ws)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.841 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(sc)-1(alar)1(.)]TJ +/F27 9.9626 Tf -24.906 -19.925 Td [(ila)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -22.903 Td [(irw)]TJ +/F8 9.9626 Tf 16.915 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(s)-1(tar)1(ting)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.991 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 21.157 0 Td [(the)-333(\014rst)-334(ro)28(w)-333(to)-333(b)-28(e)-334(inserted.)]TJ 3.749 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(sc)-1(alar)1(.)]TJ +/F27 9.9626 Tf -208.505 -19.925 Td [(jla)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -22.903 Td [(ia)]TJ +/F8 9.9626 Tf 17.234 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(end)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.672 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ/F16 11.9552 Tf -208.505 -21.918 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 13.733 0 Td [(the)-333(ro)27(w)-333(indices)-333(of)-334(th)1(e)-334(co)-28(e\016cien)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 11.173 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.98 0 Td [(nz)]TJ/F8 9.9626 Tf 11.052 0 Td [(.)]TJ +/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ 0 g 0 G -/F27 9.9626 Tf -196.938 -22.903 Td [(irp)]TJ + [-500(This)-333(routine)-334(ma)28(y)-333(only)-333(b)-28(e)-334(called)-333(if)-333(the)-334(d)1(e)-1(scriptor)-333(is)-333(in)-333(the)-334(build)-333(state;)]TJ 0 g 0 G -/F8 9.9626 Tf 19.247 0 Td [(the)-333(ro)27(w)-333(p)-28(oin)28(ters)-333(of)-333(the)-334(co)-28(e\016cien)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 5.659 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.98 0 Td [(nr)]TJ/F8 9.9626 Tf 12.966 0 Td [(+)-222(1.)]TJ + 0 -19.925 Td [(2.)]TJ 0 g 0 G -/F27 9.9626 Tf -198.852 -22.903 Td [(ja)]TJ + [-500(This)-305(rou)1(tine)-305(automatically)-305(i)1(gnores)-305(edges)-305(that)-304(do)-305(not)-304(insist)-305(on)-304(the)-305(curren)28(t)]TJ 12.73 -11.955 Td [(pro)-28(cess,)-285(i.)1(e)-1(.)-424(edges)-272(for)-273(whic)28(h)-272(neither)-273(the)-272(starting)-272(nor)-273(the)-272(end)-273(v)28(ertex)-272(b)-28(elong)]TJ 0 -11.955 Td [(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ 0 g 0 G -/F8 9.9626 Tf 14.051 0 Td [(the)-333(column)-334(indices)-333(of)-333(the)-334(co)-27(e)-1(\016cien)28(ts)-333(to)-333(b)-28(e)-334(inserted.)]TJ 10.855 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.98 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ + -12.73 -19.926 Td [(3.)]TJ 0 g 0 G -/F27 9.9626 Tf -196.937 -22.903 Td [(v)64(al)]TJ + [-500(The)-437(second)-438(form)-437(of)-437(this)-437(routine)-438(wil)1(l)-438(b)-27(e)-438(useful)-437(when)-437(dealing)-437(with)-438(user-)]TJ 12.73 -11.955 Td [(sp)-28(eci\014ed)-333(index)-333(mappings;)-334(see)-333(also)]TJ +0 0 1 rg 0 0 1 RG + [-334(2.3.1)]TJ 0 g 0 G -/F8 9.9626 Tf 19.143 0 Td [(the)-333(co)-28(e\016cien)28(ts)-334(to)-333(b)-28(e)-333(inserted.)]TJ 5.763 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-375(as:)-528(an)-375(arra)28(y)-375(of)-375(size)]TJ/F11 9.9626 Tf 130.933 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)-570(Must)-375(b)-28(e)-375(of)-375(the)-375(same)-375(t)28(yp)-28(e)-375(and)-375(kind)-375(of)]TJ -141.984 -11.956 Td [(the)-333(co)-28(e\016cien)27(ts)-333(of)-333(the)-334(spar)1(s)-1(e)-333(matrix)]TJ/F11 9.9626 Tf 158.517 0 Td [(a)]TJ/F8 9.9626 Tf 5.266 0 Td [(.)]TJ + [(.)]TJ 0 g 0 G - -21.815 -29.887 Td [(76)]TJ + 141.968 -314.819 Td [(74)]TJ 0 g 0 G ET endstream endobj -1373 0 obj +1386 0 obj << -/Length 7378 +/Length 4740 >> stream 0 g 0 G 0 g 0 G -0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(desc)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 121.81 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.951 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F27 9.9626 Tf 125.247 706.129 Td [(a)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(cdasb)-375(|)-375(Comm)31(unication)-375(descriptor)-375(assem)31(bly)-375(routine)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ -ET -q -1 0 0 1 278.467 658.507 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 281.605 658.308 Td [(desc)]TJ -ET -q -1 0 0 1 303.154 658.507 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 306.292 658.308 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ 0 g 0 G -/F27 9.9626 Tf -227.319 -31.349 Td [(lo)-32(cal)]TJ +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 28.055 0 Td [(Whether)-465(the)-464(en)27(tr)1(ie)-1(s)-464(in)-465(the)-465(in)1(dice)-1(s)-464(v)28(ec)-1(tor)1(s)]TJ/F30 9.9626 Tf 194.825 0 Td [(ia)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 7.724 0 Td [(ja)]TJ/F8 9.9626 Tf 15.09 0 Td [(are)-465(already)-464(in)-465(lo)-28(cal)]TJ -231.248 -11.955 Td [(n)28(um)28(b)-28(ering.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.false.)]TJ/F8 9.9626 Tf 36.612 0 Td [(.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -224.575 -20.589 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.394 Td [(a)]TJ + 0 -19.925 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 626.17 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(in)28(to)-333(whic)28(h)-334(co)-27(e)-1(\016cien)28(ts)-333(will)-333(b)-28(e)-334(inserted.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 491.534 cm +1 0 0 1 312.036 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 491.334 Td [(Tspmat)]TJ +/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ ET q -1 0 0 1 347.183 491.534 cm +1 0 0 1 336.723 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 491.334 Td [(type)]TJ +/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.348 -19.394 Td [(desc)]TJ +/F27 9.9626 Tf -260.887 -19.925 Td [(mold)]TJ +0 g 0 G +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(index)-334(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(a)-222(ob)-56(ject)-222(of)-222(t)28(yp)-28(e)-222(deriv)28(ed)-223(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 219.87 0 Td [(psb)]TJ ET q -1 0 0 1 121.81 472.14 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 360.991 510.604 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 125.247 471.94 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ +/F30 9.9626 Tf 364.129 510.405 Td [(T)]TJ ET q -1 0 0 1 278.467 424.319 cm +1 0 0 1 369.987 510.604 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 281.605 424.12 Td [(desc)]TJ +/F30 9.9626 Tf 373.125 510.405 Td [(base)]TJ ET q -1 0 0 1 303.154 424.319 cm +1 0 0 1 394.674 510.604 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 306.292 424.12 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -227.319 -31.349 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -20.59 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.177 -18.862 Td [(1.)]TJ -0 g 0 G - [-500(On)-487(en)28(try)-487(to)-488(this)-487(routine)-487(the)-487(descriptor)-487(ma)28(y)-488(b)-27(e)-488(in)-487(either)-487(the)-487(build)-487(or)]TJ 12.73 -11.955 Td [(assem)28(bled)-334(state.)]TJ -0 g 0 G - -12.73 -19.394 Td [(2.)]TJ -0 g 0 G - [-500(On)-363(en)28(try)-362(to)-363(this)-363(routine)-362(the)-363(sparse)-363(matrix)-363(ma)28(y)-363(b)-27(e)-363(in)-363(either)-362(the)-363(build)-363(or)]TJ 12.73 -11.955 Td [(up)-28(date)-333(state.)]TJ -0 g 0 G - -12.73 -19.394 Td [(3.)]TJ -0 g 0 G - [-500(If)-230(the)-231(descriptor)-230(is)-231(in)-230(the)-231(build)-230(state,)-251(then)-231(the)-230(sparse)-231(matrix)-230(m)28(ust)-231(also)-230(b)-28(e)-231(in)]TJ 12.73 -11.955 Td [(the)-327(build)-327(state;)-329(the)-328(action)-327(of)-327(the)-327(routine)-327(is)-327(to)-327(\050implicitly\051)-327(call)]TJ/F30 9.9626 Tf 271.731 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf -271.731 -11.956 Td [(to)-419(add)-419(en)28(tries)-419(to)-419(th)1(e)-419(sparsit)27(y)-418(pattern;)-462(eac)28(h)-419(sparse)-419(matrix)-419(en)28(try)-419(implic-)]TJ 0 -11.955 Td [(itly)-359(de\014nes)-360(a)-360(grap)1(h)-360(edge,)-366(that)-360(is)-359(passed)-360(to)-359(the)-360(descriptor)-359(routine)-360(for)-359(the)]TJ 0 -11.955 Td [(appropriate)-333(pro)-28(cessing;)]TJ -0 g 0 G - -12.73 -19.394 Td [(4.)]TJ -0 g 0 G - [-500(The)-333(input)-334(d)1(ata)-334(can)-333(b)-28(e)-333(passed)-334(in)-333(either)-333(COO)-334(or)-333(CSR)-333(formats;)]TJ -0 g 0 G - 0 -19.394 Td [(5.)]TJ -0 g 0 G - [-500(In)-368(COO)-367(format)-368(the)-367(co)-28(e\016cien)28(ts)-368(to)-368(b)-27(e)-368(inserted)-368(are)-367(represen)28(ted)-368(b)28(y)-368(the)-367(or-)]TJ 12.73 -11.955 Td [(dered)-358(triples)]TJ/F11 9.9626 Tf 58.162 0 Td [(ia)]TJ/F8 9.9626 Tf 8.699 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.875 0 Td [(;)-167(j)-57(a)]TJ/F8 9.9626 Tf 14.367 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.875 0 Td [(;)-167(v)-36(a)1(l)]TJ/F8 9.9626 Tf 18.049 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051,)-364(for)]TJ/F11 9.9626 Tf 25.762 0 Td [(i)]TJ/F8 9.9626 Tf 6.608 0 Td [(=)-319(1)]TJ/F11 9.9626 Tf 15.905 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(nz)]TJ/F8 9.9626 Tf 33.191 0 Td [(;)-370(these)-358(triples)-358(should)-358(b)-28(e-)]TJ -210.411 -11.955 Td [(long)-384(to)-385(the)-384(curren)28(t)-385(pro)-28(cess,)-397(i.e.)]TJ/F11 9.9626 Tf 144.426 0 Td [(ia)]TJ/F8 9.9626 Tf 8.698 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-384(should)-385(b)-28(e)-384(one)-384(of)-385(the)-384(lo)-28(cal)-385(ind)1(ic)-1(es,)]TJ -160.431 -11.955 Td [(but)-333(are)-334(otherwise)-333(arbitrary;)]TJ -0 g 0 G - 141.968 -29.888 Td [(77)]TJ -0 g 0 G +/F30 9.9626 Tf 397.813 510.405 Td [(vect)]TJ ET - -endstream -endobj -1382 0 obj -<< -/Length 3810 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G +q +1 0 0 1 419.361 510.604 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q BT -/F8 9.9626 Tf 162.881 706.129 Td [(6.)]TJ -0 g 0 G - [-500(In)-497(CSR)-496(format)-496(the)-497(co)-28(e\016cien)28(ts)-497(to)-496(b)-28(e)-497(inserted)-496(for)-497(eac)28(h)-496(input)-497(ro)28(w)]TJ/F11 9.9626 Tf 314.877 0 Td [(i)]TJ/F8 9.9626 Tf 8.909 0 Td [(=)]TJ -311.056 -11.955 Td [(1)]TJ/F11 9.9626 Tf 4.982 0 Td [(;)-167(nr)]TJ/F8 9.9626 Tf 18.296 0 Td [(are)-313(represen)28(ted)-313(b)28(y)-313(the)-313(ordered)-313(triples)-312(\050)]TJ/F11 9.9626 Tf 169.802 0 Td [(i)]TJ/F8 9.9626 Tf 5.238 0 Td [(+)]TJ/F11 9.9626 Tf 9.554 0 Td [(ir)-28(w)]TJ/F14 9.9626 Tf 17.41 0 Td [(\000)]TJ/F8 9.9626 Tf 9.555 0 Td [(1\051)]TJ/F11 9.9626 Tf 8.856 0 Td [(;)-167(j)-57(a)]TJ/F8 9.9626 Tf 14.367 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(j)]TJ/F8 9.9626 Tf 4.673 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(v)-36(al)]TJ/F8 9.9626 Tf 18.05 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(j)]TJ/F8 9.9626 Tf 4.673 0 Td [(\051,)-317(for)]TJ/F11 9.9626 Tf -297.078 -11.955 Td [(j)]TJ/F8 9.9626 Tf 8.599 0 Td [(=)]TJ/F11 9.9626 Tf 11.674 0 Td [(ir)-28(p)]TJ/F8 9.9626 Tf 13.216 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(ir)-28(p)]TJ/F8 9.9626 Tf 35.355 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 6.109 0 Td [(+)-269(1\051)]TJ/F14 9.9626 Tf 21.959 0 Td [(\000)]TJ/F8 9.9626 Tf 10.426 0 Td [(1;)-438(these)-403(triples)-403(should)-403(b)-28(elong)-403(to)-403(the)-403(curren)28(t)]TJ -122.394 -11.956 Td [(pro)-28(cess,)-272(i.e.)]TJ/F11 9.9626 Tf 53.794 0 Td [(i)]TJ/F8 9.9626 Tf 4.123 0 Td [(+)]TJ/F11 9.9626 Tf 8.44 0 Td [(ir)-28(w)]TJ/F14 9.9626 Tf 16.295 0 Td [(\000)]TJ/F8 9.9626 Tf 8.44 0 Td [(1)-257(should)-257(b)-28(e)-256(one)-257(of)-257(the)-257(lo)-28(cal)-257(indices,)-272(but)-257(are)-257(otherwise)]TJ -91.092 -11.955 Td [(arbitrary;)]TJ -0 g 0 G - -12.73 -19.925 Td [(7.)]TJ +/F30 9.9626 Tf 422.5 510.405 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - [-500(There)-386(is)-385(no)-386(requiremen)28(t)-386(that)-386(a)-385(giv)28(e)-1(n)-385(ro)28(w)-386(m)28(ust)-386(b)-28(e)-385(pass)-1(ed)-385(in)-386(its)-386(en)28(tiret)28(y)]TJ 12.73 -11.955 Td [(to)-355(a)-354(single)-355(call)-354(to)-355(this)-354(routine:)-487(the)-355(buildup)-354(of)-355(a)-354(ro)28(w)-355(ma)28(y)-355(b)-28(e)-354(split)-355(in)28(to)-355(as)]TJ 0 -11.955 Td [(man)28(y)-334(calls)-333(as)-333(desired)-334(\050ev)28(en)-333(in)-334(th)1(e)-334(CSR)-333(format\051;)]TJ +/F27 9.9626 Tf -343.526 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G - -12.73 -19.926 Td [(8.)]TJ 0 g 0 G - [-500(Co)-28(e\016cien)28(ts)-409(from)-410(di\013eren)28(t)-409(ro)28(ws)-410(ma)28(y)-409(also)-409(b)-28(e)-409(m)-1(ix)1(e)-1(d)-409(up)-409(freely)-409(in)-409(a)-410(single)]TJ 12.73 -11.955 Td [(call,)-333(according)-334(to)-333(the)-333(application)-334(n)1(e)-1(eds;)]TJ + 0 -19.926 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 468.761 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 468.561 Td [(a)]TJ 0 g 0 G - -12.73 -19.925 Td [(9.)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 312.036 420.94 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 420.741 Td [(desc)]TJ +ET +q +1 0 0 1 336.723 420.94 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 339.861 420.741 Td [(type)]TJ 0 g 0 G - [-500(An)28(y)-416(co)-28(e\016cien)28(ts)-416(from)-416(matrix)-416(ro)28(ws)-416(not)-416(o)28(wned)-416(b)28(y)-416(the)-416(calling)-416(pro)-28(cess)-416(are)]TJ 12.73 -11.955 Td [(silen)28(tly)-334(ignor)1(e)-1(d)1(;)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - -17.711 -19.926 Td [(10.)]TJ +/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ 0 g 0 G - [-500(If)-358(the)-359(descriptor)-358(is)-359(in)-358(the)-359(assem)28(bled)-359(state,)-364(then)-359(an)28(y)-359(en)28(tries)-358(in)-359(the)-358(sparse)]TJ 17.711 -11.955 Td [(matrix)-430(that)-429(w)27(ould)-429(generate)-430(additional)-430(comm)28(unication)-430(requiremen)28(ts)-430(are)]TJ 0 -11.955 Td [(ignored;)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G - -17.711 -19.925 Td [(11.)]TJ +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(If)-309(th)1(e)-309(matrix)-309(is)-308(in)-309(the)-308(up)-28(date)-309(state,)-313(an)28(y)-309(en)28(tries)-309(in)-308(p)-28(ositions)-309(that)-308(w)28(ere)-309(not)]TJ 17.711 -11.955 Td [(presen)28(t)-334(in)-333(the)-333(original)-333(matrix)-334(are)-333(ignored.)]TJ + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(descriptor)-333(is)-333(in)-334(the)-333(assem)28(bled)-334(state.)]TJ 0 g 0 G - 141.968 -384.558 Td [(78)]TJ + 154.698 -220.714 Td [(75)]TJ 0 g 0 G ET endstream endobj -1394 0 obj +1393 0 obj << -/Length 6641 +/Length 3278 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 171.761 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(spasb)-375(|)-375(Sparse)-375(matrix)-375(assem)31(bly)-375(routine)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(cdcp)31(y)-375(|)-375(Copies)-375(a)-375(comm)31(unication)-375(descriptor)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_spasb\050a,)-525(desc_a,)-525(info,)-525(afmt,)-525(upd,)-525(dupl,)-525(mold\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.202 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.639 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.638 Td [(desc)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 627.46 cm +1 0 0 1 172.619 626.17 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 627.261 Td [(a)]TJ +/F27 9.9626 Tf 176.057 625.971 Td [(in)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 14.528 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -14.974 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 579.639 cm +1 0 0 1 362.845 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 579.44 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ ET q -1 0 0 1 336.723 579.639 cm +1 0 0 1 387.532 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 579.44 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.639 Td [(afm)32(t)]TJ -0 g 0 G -/F8 9.9626 Tf 27.737 0 Td [(the)-333(storage)-334(format)-333(for)-333(the)-334(sparse)-333(matrix.)]TJ -2.83 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(arra)28(y)-333(of)-334(c)28(haracters.)-444(Defalt:)-445('CSR'.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.639 Td [(up)-32(d)]TJ -0 g 0 G -/F8 9.9626 Tf 24.395 0 Td [(Pro)28(vide)-333(for)-334(up)-27(dates)-334(to)-333(the)-333(matrix)-334(co)-28(e\016cien)28(ts.)]TJ 0.512 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(in)28(teger,)-333(p)-28(ossible)-333(v)55(alues:)]TJ/F30 9.9626 Tf 164.633 0 Td [(psb_upd_srch_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf 6.089 0 Td [(psb_upd_perm_)]TJ +/F30 9.9626 Tf 390.67 578.15 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -263.623 -19.639 Td [(dupl)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.696 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.456 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf -316.037 -11.955 Td [(psb_dupl_err_)]TJ/F8 9.9626 Tf 67.994 0 Td [(.)]TJ +/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -92.901 -19.639 Td [(mold)]TJ 0 g 0 G -/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ -ET -q -1 0 0 1 344.47 297.847 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 347.608 297.647 Td [(T)]TJ -ET -q -1 0 0 1 353.466 297.847 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 356.604 297.647 Td [(base)]TJ -ET -q -1 0 0 1 378.153 297.847 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 381.291 297.647 Td [(sparse)]TJ + 0 -19.926 Td [(desc)]TJ ET q -1 0 0 1 413.301 297.847 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 172.619 536.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F30 9.9626 Tf 416.439 297.647 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -332.235 -21.201 Td [(On)-383(Return)]TJ -0 g 0 G +/F27 9.9626 Tf 176.057 536.307 Td [(out)]TJ 0 g 0 G - 0 -19.639 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(assem)28(bled.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 21.53 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(cop)28(y)83(.)]TJ -21.976 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 209.186 cm +1 0 0 1 362.845 488.686 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 208.986 Td [(Tspmat)]TJ +/F30 9.9626 Tf 365.983 488.487 Td [(desc)]TJ ET q -1 0 0 1 347.183 209.186 cm +1 0 0 1 387.532 488.686 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 208.986 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -271.348 -19.638 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.201 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 166.875 -29.888 Td [(79)]TJ -0 g 0 G -ET - -endstream -endobj -1399 0 obj -<< -/Length 2255 ->> -stream -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F8 9.9626 Tf 162.881 706.129 Td [(1.)]TJ -0 g 0 G - [-500(On)-406(en)28(try)-406(to)-406(this)-406(routine)-406(the)-406(descriptor)-406(m)28(ust)-406(b)-28(e)-406(in)-406(the)-406(assem)27(b)1(led)-406(s)-1(tate,)]TJ 12.73 -11.955 Td [(i.e.)]TJ/F30 9.9626 Tf 17.158 0 Td [(psb_cdasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(m)28(ust)-334(already)-333(ha)28(v)28(e)-334(b)-27(een)-334(called.)]TJ -0 g 0 G - -80.282 -19.926 Td [(2.)]TJ -0 g 0 G - [-500(The)-333(sparse)-334(matrix)-333(ma)28(y)-334(b)-27(e)-334(in)-333(either)-333(the)-334(build)-333(or)-333(up)-28(date)-333(state;)]TJ -0 g 0 G - 0 -19.925 Td [(3.)]TJ -0 g 0 G - [-500(Duplicate)-250(en)28(tries)-250(are)-249(dete)-1(cted)-249(and)-250(handled)-250(in)-249(b)-28(oth)-250(build)-249(and)-250(up)-28(date)-249(state,)]TJ 12.73 -11.955 Td [(with)-282(the)-283(exception)-282(of)-282(the)-283(error)-282(action)-282(that)-283(is)-282(only)-282(tak)28(en)-283(in)-282(the)-282(build)-283(state,)]TJ 0 -11.955 Td [(i.e.)-444(on)-334(the)-333(\014rst)-333(asse)-1(m)28(bly;)]TJ -0 g 0 G - -12.73 -19.925 Td [(4.)]TJ -0 g 0 G - [-500(If)-224(the)-224(up)-28(date)-223(c)27(hoice)-224(is)]TJ/F30 9.9626 Tf 107.516 0 Td [(psb_upd_perm_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)-246(then)-224(subsequen)28(t)-224(calls)-224(to)]TJ/F30 9.9626 Tf 108.952 0 Td [(psb_spins)]TJ/F8 9.9626 Tf -271.732 -11.956 Td [(to)-246(up)-28(date)-246(the)-246(matrix)-246(m)28(ust)-246(b)-28(e)-246(arranged)-246(in)-246(suc)28(h)-246(a)-246(w)28(a)27(y)-246(as)-246(to)-246(pro)-27(duce)-246(exactly)]TJ 0 -11.955 Td [(the)-228(same)-229(sequence)-228(of)-228(co)-28(e\016cien)27(t)-228(v)56(alues)-229(as)-228(encoun)28(tered)-228(at)-229(the)-228(\014rst)-228(assem)27(b)1(ly;)]TJ -0 g 0 G - -12.73 -19.925 Td [(5.)]TJ +/F30 9.9626 Tf 390.67 488.487 Td [(type)]TJ 0 g 0 G - [-500(The)-333(output)-334(storage)-333(format)-333(need)-334(not)-333(b)-28(e)-333(the)-333(same)-334(on)-333(all)-333(pro)-28(cesses;)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G - 0 -19.925 Td [(6.)]TJ +/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ 0 g 0 G - 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315.174 510.405 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ ET q -1 0 0 1 336.723 510.604 cm +1 0 0 1 336.723 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 510.405 Td [(type)]TJ +/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(info)]TJ 0 g 0 G /F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - 141.968 -330.303 Td [(81)]TJ + 141.968 -398.049 Td [(77)]TJ 0 g 0 G ET endstream endobj -1417 0 obj +1404 0 obj << -/Length 3976 +/Length 5916 >> stream 0 g 0 G @@ -16217,109 +16225,143 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(sprn)-391(|)-391(Reinit)-391(sparse)-391(matrix)-391(structure)-391(for)-391(psblas)-391(rou-)]TJ -25.091 -13.948 Td [(tines.)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(cdbldext)-282(|)-283(Build)-282(an)-282(extended)-283(comm)31(unication)-282(descrip-)]TJ -25.091 -13.948 Td [(tor)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf 0 -18.389 Td [(call)-525(psb_sprn\050a,)-525(decsc_a,)-525(info,)-525(clear\051)]TJ +/F30 9.9626 Tf 0 -19.114 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F8 9.9626 Tf 14.944 -23.476 Td [(This)-298(subroutin)1(e)-298(builds)-298(an)-297(extended)-298(comm)28(unication)-298(descriptor,)-305(based)-297(on)-298(the)]TJ -14.944 -11.955 Td [(input)-389(descriptor)]TJ/F30 9.9626 Tf 74.287 0 Td [(desc_a)]TJ/F8 9.9626 Tf 35.261 0 Td [(and)-389(on)-390(the)-389(stencil)-390(sp)-27(eci\014ed)-390(through)-389(the)-389(input)-390(sparse)]TJ -109.548 -11.956 Td [(matrix)]TJ/F30 9.9626 Tf 32.406 0 Td [(a)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -37.637 -21.094 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -21.483 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(a)]TJ + 0 -21.484 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(reinitialized.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.95 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td 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[(the)-333(n)28(um)27(b)-27(er)-334(of)-333(additional)-333(la)28(y)27(ers)-333(desired.)]TJ 10.377 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.708 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)]TJ/F11 9.9626 Tf 130.428 0 Td [(nl)]TJ/F14 9.9626 Tf 11.916 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(0.)]TJ +0 g 0 G +/F27 9.9626 Tf -177.766 -21.483 Td [(ext)32(yp)-32(e)]TJ +0 g 0 G +/F8 9.9626 Tf 38.397 0 Td [(the)-333(kind)-334(of)-333(estension)-333(required.)]TJ -13.491 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.708 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 44.396 0 Td [(.)]TJ -69.58 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-419(as:)-616(an)-420(in)28(teger)-419(v)55(alue)]TJ/F30 9.9626 Tf 135.566 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)]TJ/F30 9.9626 Tf 7.159 0 Td [(psb_ovt_asov_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)-441(default:)]TJ/F30 9.9626 Tf -278.714 -11.955 Td [(psb_ovt_xhal_)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -23.476 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -21.484 Td [(desc)]TJ ET q -1 0 0 1 172.619 544.477 cm +1 0 0 1 172.619 261.126 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 544.278 Td [(a)]TJ +/F27 9.9626 Tf 176.057 260.927 Td [(out)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 21.53 0 Td [(the)-333(extended)-334(comm)28(unication)-333(descriptor.)]TJ -21.976 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 496.656 cm +1 0 0 1 362.845 213.305 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 496.457 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 213.106 Td [(desc)]TJ ET q -1 0 0 1 387.532 496.656 cm +1 0 0 1 387.532 213.305 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 496.457 Td [(type)]TJ +/F30 9.9626 Tf 390.67 213.106 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(clear)]TJ -0 g 0 G -/F8 9.9626 Tf 28.795 0 Td [(Cho)-28(ose)-333(whether)-333(to)-334(zero)-333(out)-333(m)-1(atr)1(ix)-334(co)-28(e\016cien)28(ts)]TJ -3.888 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)-444(true.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(An)-333(in)28(teger)-334(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +/F27 9.9626 Tf -260.887 -21.484 Td [(info)]TJ 0 g 0 G - [-500(On)-333(exit)-334(from)-333(this)-333(routine)-334(t)1(he)-334(sparse)-333(matrix)-334(is)-333(in)-333(the)-333(up)-28(date)-334(state.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -23.476 Td [(Notes)]TJ 0 g 0 G - 154.698 -206.766 Td [(82)]TJ +/F8 9.9626 Tf 166.874 -29.888 Td [(78)]TJ 0 g 0 G ET endstream endobj -1424 0 obj +1408 0 obj << -/Length 5107 +/Length 1591 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F8 9.9626 Tf 112.072 706.129 Td [(1.)]TJ +0 g 0 G + [-500(Sp)-28(ecifying)]TJ/F30 9.9626 Tf 60.091 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 70.801 0 Td [(for)-282(the)]TJ/F30 9.9626 Tf 31.377 0 Td [(extype)]TJ/F8 9.9626 Tf 34.188 0 Td [(argumen)28(t)-282(the)-282(user)-281(will)-282(obtain)-281(a)]TJ -183.727 -11.955 Td [(descriptor)-258(f)1(o)-1(r)-257(a)-258(domain)-257(partition)-258(in)-257(whic)28(h)-258(the)-257(additional)-258(la)28(y)28(ers)-258(are)-257(fetc)27(hed)]TJ 0 -11.955 Td [(as)-415(part)-415(of)-415(an)-415(\050extended\051)-415(halo;)-456(ho)28(w)27(ev)28(er)-415(the)-415(index-to-pro)-28(cess)-415(mapping)-415(is)]TJ 0 -11.956 Td [(iden)28(tical)-334(t)1(o)-334(that)-333(of)-333(the)-334(base)-333(descriptor;)]TJ +0 g 0 G + -12.73 -19.925 Td [(2.)]TJ +0 g 0 G + [-500(Sp)-28(ecifying)]TJ/F30 9.9626 Tf 60.957 0 Td [(psb_ovt_asov_)]TJ/F8 9.9626 Tf 71.666 0 Td [(for)-368(the)]TJ/F30 9.9626 Tf 33.107 0 Td [(extype)]TJ/F8 9.9626 Tf 35.054 0 Td [(argumen)28(t)-369(the)-368(user)-369(will)-368(obtain)]TJ -188.054 -11.955 Td [(a)-458(descriptor)-459(with)-458(an)-458(o)28(v)27(erlapp)-27(ed)-459(decomp)-27(os)-1(iti)1(on:)-695(the)-458(additional)-458(la)27(y)28(er)-458(is)]TJ 0 -11.955 Td [(aggregated)-413(to)-413(the)-413(lo)-28(cal)-413(sub)-28(domain)-413(\050and)-413(th)28(us)-414(is)-413(an)-413(o)28(v)28(erlap\051,)-433(and)-413(a)-414(new)]TJ 0 -11.955 Td [(halo)-333(extending)-334(b)-27(ey)27(on)1(d)-334(the)-333(last)-333(additional)-334(la)28(y)28(er)-333(is)-334(formed.)]TJ +0 g 0 G + 141.968 -524.035 Td [(79)]TJ +0 g 0 G +ET + +endstream +endobj +1417 0 obj +<< +/Length 4890 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 171.761 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(geall)-375(|)-375(Allo)-31(cates)-375(a)-375(dense)-375(matrix)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(spall)-375(|)-375(Allo)-31(cates)-375(a)-375(sparse)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info,)-525(n,)-525(lb\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -16331,226 +16373,312 @@ BT 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 626.17 cm +1 0 0 1 172.619 626.17 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ +/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 278.467 578.35 cm +1 0 0 1 362.845 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 281.605 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ ET q -1 0 0 1 303.154 578.35 cm +1 0 0 1 387.532 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 306.292 578.15 Td [(type)]TJ +/F30 9.9626 Tf 390.67 578.15 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -227.319 -31.88 Td [(n)]TJ -0 g 0 G -/F8 9.9626 Tf 11.347 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(columns)-333(of)-334(the)-333(dense)-333(m)-1(atr)1(ix)-334(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)28(t)-343(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.11 0 Td [(is)-343(a)]TJ -303.709 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(lb)]TJ +/F27 9.9626 Tf -260.887 -19.925 Td [(nnz)]TJ 0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(The)-489(lo)28(w)27(er)-489(b)-27(ound)-489(for)-489(the)-490(column)-489(index)-489(range)-489(of)-489(the)-489(dense)-489(matrix)-489(to)-489(b)-28(e)]TJ 10.378 -11.955 Td [(allo)-28(cated.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)28(t)-343(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.11 0 Td [(is)-343(a)]TJ -303.709 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ +/F8 9.9626 Tf 22.803 0 Td [(An)-309(estimate)-309(of)-308(the)-309(n)28(um)27(b)-27(er)-309(of)-309(nonzero)-28(es)-308(in)-309(the)-309(lo)-28(cal)-308(part)-309(of)-309(the)-309(assem)28(bled)]TJ 2.103 -11.955 Td [(matrix.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -24.906 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ + 0 -19.925 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-334(all)1(o)-28(cated.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-303(as:)-430(a)-304(rank)-303(one)-304(or)-304(t)28(w)28(o)-304(arra)28(y)-304(with)-303(the)-304(ALLOCA)83(T)83(ABLE)-303(attribute)]TJ 0 -11.955 Td [(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf -25.184 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 89.968 0 Td [(psb)]TJ -ET -q -1 0 0 1 231.089 293.418 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 234.227 293.219 Td [(T)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 240.085 293.418 cm +1 0 0 1 362.845 408.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 243.223 293.219 Td [(vect)]TJ +/F30 9.9626 Tf 365.983 408.786 Td [(Tspmat)]TJ ET q -1 0 0 1 264.772 293.418 cm +1 0 0 1 397.993 408.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 267.911 293.219 Td [(type)]TJ +/F30 9.9626 Tf 401.131 408.786 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -271.347 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(sparse)-333(matrix)-334(i)1(s)-334(in)-333(the)-333(build)-334(state.)]TJ +0 g 0 G + 0 -19.926 Td [(2.)]TJ 0 g 0 G -/F27 9.9626 Tf -188.937 -31.88 Td [(info)]TJ + [-500(The)-333(descriptor)-334(ma)28(y)-333(b)-28(e)-333(in)-334(either)-333(the)-333(build)-333(or)-334(assem)28(bled)-333(s)-1(tat)1(e)-1(.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ + 0 -19.925 Td [(3.)]TJ +0 g 0 G + [-500(Pro)28(viding)-307(a)-308(go)-27(o)-28(d)-307(e)-1(stimate)-307(for)-307(the)-307(n)27(um)28(b)-28(er)-307(of)-307(nonzero)-28(es)]TJ/F11 9.9626 Tf 254.288 0 Td [(nnz)]TJ/F8 9.9626 Tf 20.093 0 Td [(in)-307(the)-308(assem-)]TJ -261.651 -11.955 Td [(bled)-402(matrix)-401(ma)28(y)-402(substan)28(tially)-401(impro)27(v)28(e)-401(p)-28(erformance)-402(in)-401(the)-402(matrix)-401(build)]TJ 0 -11.955 Td [(phase,)-458(as)-433(it)-432(will)-433(reduce)-433(or)-433(eliminate)-433(the)-433(need)-432(for)-433(\050p)-28(oten)28(tially)-433(m)28(ultiple\051)]TJ 0 -11.956 Td [(data)-333(reallo)-28(cations.)]TJ 0 g 0 G - 141.968 -123.08 Td [(83)]TJ + 141.968 -133.042 Td [(80)]TJ 0 g 0 G ET endstream endobj -1430 0 obj +1425 0 obj << -/Length 6841 +/Length 5704 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 120.951 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(geins)-375(|)-375(Dense)-375(matrix)-375(insertion)-375(routine)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(spins)-321(|)-322(Insert)-321(a)-321(set)-321(of)-322(co)-31(e\016cien)31(ts)-321(in)31(to)-321(a)-321(sparse)-321(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_geins\050m,)-525(irw,)-525(val,)-525(x,)-525(desc_a,)-525(info)-525([,dupl,local]\051)]TJ +/F30 9.9626 Tf -25.091 -19.775 Td [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 -11.955 Td [(call)-525(psb_spins\050nr,)-525(irw,)-525(irp,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -20.681 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -24.151 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.43 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -22.903 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.431 Td [(m)]TJ + 0 -22.903 Td [(nz)]TJ +0 g 0 G +/F8 9.9626 Tf 16.439 0 Td [(the)-333(n)28(um)27(b)-27(er)-334(of)-333(co)-28(e\016cien)28(ts)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.468 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(scalar.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -22.903 Td [(nr)]TJ +0 g 0 G +/F8 9.9626 Tf 16.065 0 Td [(the)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(ro)28(ws)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.842 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(scalar.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -22.903 Td [(irw)]TJ +0 g 0 G +/F8 9.9626 Tf 21.157 0 Td [(the)-333(\014rst)-334(ro)28(w)-333(to)-334(b)-27(e)-334(inserted.)]TJ 3.75 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(scalar.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -22.903 Td [(ia)]TJ 0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(Num)28(b)-28(er)-333(of)-334(ro)28(ws)-333(in)]TJ/F11 9.9626 Tf 84.516 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 16.942 0 Td [(to)-333(b)-28(e)-333(inse)-1(r)1(te)-1(d)1(.)]TJ -91.081 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ +/F8 9.9626 Tf 13.734 0 Td [(the)-333(ro)28(w)-334(indices)-333(of)-333(the)-334(co)-28(e\016cien)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 11.173 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.98 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.431 Td [(irw)]TJ +/F27 9.9626 Tf -196.938 -22.903 Td [(irp)]TJ +0 g 0 G +/F8 9.9626 Tf 19.248 0 Td [(the)-333(ro)28(w)-334(p)-28(oin)28(ters)-333(of)-333(the)-334(co)-28(e\016cien)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 5.659 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.98 0 Td [(nr)]TJ/F8 9.9626 Tf 12.965 0 Td [(+)-222(1.)]TJ +0 g 0 G +/F27 9.9626 Tf -198.852 -22.903 Td [(ja)]TJ +0 g 0 G +/F8 9.9626 Tf 14.052 0 Td [(the)-333(column)-334(indices)-333(of)-333(the)-334(co)-27(e\016)-1(cien)28(ts)-333(to)-333(b)-28(e)-334(inserted.)]TJ 10.855 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.98 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -196.938 -22.903 Td [(v)64(al)]TJ +0 g 0 G +/F8 9.9626 Tf 19.144 0 Td [(the)-333(co)-28(e\016cien)28(ts)-334(to)-333(b)-28(e)-333(inserted.)]TJ 5.763 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-375(as:)-528(an)-375(arra)28(y)-375(of)-375(size)]TJ/F11 9.9626 Tf 130.933 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)-570(Must)-375(b)-28(e)-375(of)-375(the)-375(same)-375(t)28(yp)-28(e)-375(and)-375(kind)-375(of)]TJ -141.984 -11.956 Td [(the)-333(co)-28(e\016cien)28(ts)-334(of)-333(the)-333(s)-1(p)1(ars)-1(e)-333(matrix)]TJ/F11 9.9626 Tf 158.517 0 Td [(a)]TJ/F8 9.9626 Tf 5.266 0 Td [(.)]TJ +0 g 0 G + -21.815 -29.887 Td [(81)]TJ 0 g 0 G -/F8 9.9626 Tf 21.157 0 Td [(Indices)-444(of)-445(the)-444(ro)27(ws)-444(to)-445(b)-27(e)-445(inserted.)-778(Sp)-28(eci\014cally)84(,)-472(ro)27(w)]TJ/F11 9.9626 Tf 237.973 0 Td [(i)]TJ/F8 9.9626 Tf 7.861 0 Td [(of)]TJ/F11 9.9626 Tf 12.454 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 18.049 0 Td [(will)-444(b)-28(e)-445(in-)]TJ -272.588 -11.955 Td [(serted)-435(in)28(to)-436(th)1(e)-436(lo)-27(cal)-436(ro)28(w)-435(corresp)-28(onding)-435(to)-435(the)-435(global)-435(ro)28(w)-435(index)]TJ/F11 9.9626 Tf 289.252 0 Td [(ir)-28(w)]TJ/F8 9.9626 Tf 15.605 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051.)]TJ -312.163 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ +ET + +endstream +endobj +1431 0 obj +<< +/Length 7364 +>> +stream 0 g 0 G -/F27 9.9626 Tf -24.906 -19.43 Td [(v)64(al)]TJ 0 g 0 G -/F8 9.9626 Tf 19.143 0 Td [(the)-333(dense)-334(submatrix)-333(to)-333(b)-28(e)-333(inserted.)]TJ 5.763 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(1)-333(o)-1(r)-333(2)-333(arra)28(y)83(.)-444(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-334(v)56(alue.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.43 Td [(desc)]TJ +BT +/F27 9.9626 Tf 150.705 706.129 Td [(desc)]TJ ET q -1 0 0 1 172.619 414.689 cm +1 0 0 1 172.619 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 414.49 Td [(a)]TJ +/F27 9.9626 Tf 176.057 706.129 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.51 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 366.869 cm +1 0 0 1 329.276 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 366.669 Td [(desc)]TJ +/F30 9.9626 Tf 332.415 658.308 Td [(desc)]TJ ET q -1 0 0 1 387.532 366.869 cm +1 0 0 1 353.964 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 366.669 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.43 Td [(dupl)]TJ +/F30 9.9626 Tf 357.102 658.308 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.697 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.455 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.995 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -340.944 -19.43 Td [(lo)-32(cal)]TJ +/F27 9.9626 Tf -227.318 -31.349 Td [(lo)-32(cal)]TJ 0 g 0 G -/F8 9.9626 Tf 28.054 0 Td [(Whether)-289(the)-289(en)28(tries)-289(in)-289(the)-289(index)-288(v)27(ector)]TJ/F30 9.9626 Tf 172.77 0 Td [(irw)]TJ/F8 9.9626 Tf 15.691 0 Td [(,)-298(are)-289(already)-289(in)-288(lo)-28(cal)-289(n)28(um)28(b)-28(er-)]TJ -191.608 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.055 0 Td [(.false.)]TJ/F8 9.9626 Tf 36.612 0 Td [(.)]TJ +/F8 9.9626 Tf 28.054 0 Td [(Whether)-465(the)-464(en)27(tries)-464(in)-465(the)-465(ind)1(ic)-1(es)-464(v)28(e)-1(ctors)]TJ/F30 9.9626 Tf 194.825 0 Td [(ia)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 7.724 0 Td [(ja)]TJ/F8 9.9626 Tf 15.09 0 Td [(are)-465(already)-464(in)-465(lo)-28(cal)]TJ -231.248 -11.955 Td [(n)28(um)28(b)-28(ering.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.761 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td 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+0 g 0 G +/F27 9.9626 Tf -227.318 -31.349 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(,)]TJ -316.038 -11.955 Td [(of)-333(t)27(yp)-27(e)-334(real,)-333(complex)-333(or)-334(in)28(teger.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -20.59 Td [(Notes)]TJ 0 g 0 G - 141.968 -41.843 Td [(84)]TJ +/F8 9.9626 Tf 12.176 -18.862 Td [(1.)]TJ +0 g 0 G + [-500(On)-487(en)28(try)-487(to)-488(this)-487(routine)-487(the)-487(descriptor)-487(ma)28(y)-488(b)-27(e)-488(in)-487(either)-487(the)-487(build)-487(or)]TJ 12.73 -11.955 Td [(assem)28(bled)-334(state.)]TJ +0 g 0 G + -12.73 -19.394 Td [(2.)]TJ +0 g 0 G + [-500(On)-363(en)28(try)-363(to)-362(this)-363(routine)-362(the)-363(sparse)-363(matrix)-363(ma)28(y)-363(b)-27(e)-363(in)-363(either)-362(the)-363(build)-363(or)]TJ 12.73 -11.955 Td [(up)-28(date)-333(state.)]TJ +0 g 0 G + -12.73 -19.394 Td [(3.)]TJ +0 g 0 G + [-500(If)-230(the)-231(descriptor)-230(is)-231(in)-230(the)-231(build)-230(state,)-251(then)-231(the)-230(sparse)-231(matrix)-230(m)28(ust)-231(also)-230(b)-28(e)-231(in)]TJ 12.73 -11.955 Td [(the)-327(build)-327(state;)-329(the)-328(action)-327(of)-327(the)-327(routine)-327(is)-327(to)-327(\050implicitly\051)-327(call)]TJ/F30 9.9626 Tf 271.732 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf -271.732 -11.956 Td [(to)-419(add)-419(en)28(tries)-419(to)-419(the)-418(sparsit)27(y)-418(pattern;)-462(eac)28(h)-419(sparse)-419(matrix)-419(en)28(try)-419(implic-)]TJ 0 -11.955 Td [(itly)-360(d)1(e)-1(\014)1(nes)-360(a)-360(graph)-359(edge,)-366(that)-360(is)-359(passed)-360(to)-359(the)-360(descriptor)-359(routine)-360(for)-359(the)]TJ 0 -11.955 Td [(appropriate)-333(pro)-28(cessing;)]TJ +0 g 0 G + -12.73 -19.394 Td [(4.)]TJ +0 g 0 G + [-500(The)-333(input)-334(data)-333(can)-333(b)-28(e)-333(passed)-334(in)-333(either)-333(COO)-334(or)-333(CSR)-333(formats;)]TJ +0 g 0 G + 0 -19.394 Td [(5.)]TJ +0 g 0 G + [-500(In)-368(COO)-367(format)-368(the)-367(co)-28(e\016cien)28(ts)-368(to)-368(b)-27(e)-368(inserted)-368(are)-367(represen)28(te)-1(d)-367(b)28(y)-368(the)-367(or-)]TJ 12.73 -11.955 Td [(dered)-358(triples)]TJ/F11 9.9626 Tf 58.163 0 Td [(ia)]TJ/F8 9.9626 Tf 8.698 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(j)-57(a)]TJ/F8 9.9626 Tf 14.367 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(v)-36(al)]TJ/F8 9.9626 Tf 18.049 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051,)-364(for)]TJ/F11 9.9626 Tf 25.762 0 Td [(i)]TJ/F8 9.9626 Tf 6.607 0 Td [(=)-319(1)]TJ/F11 9.9626 Tf 15.906 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(nz)]TJ/F8 9.9626 Tf 33.19 0 Td [(;)-370(these)-358(triples)-358(should)-358(b)-28(e-)]TJ -210.411 -11.955 Td [(long)-384(to)-385(the)-384(curren)27(t)-384(pro)-28(cess,)-397(i.e.)]TJ/F11 9.9626 Tf 144.426 0 Td [(ia)]TJ/F8 9.9626 Tf 8.699 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-384(s)-1(h)1(ould)-385(b)-28(e)-384(one)-385(of)-384(the)-384(lo)-28(cal)-385(indices,)]TJ -160.431 -11.955 Td [(but)-333(are)-334(otherwise)-333(arbitrary;)]TJ +0 g 0 G + 141.968 -29.888 Td [(82)]TJ 0 g 0 G ET endstream endobj -1434 0 obj +1440 0 obj << -/Length 1111 +/Length 3795 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F8 9.9626 Tf 112.072 706.129 Td [(6.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ + [-500(In)-497(CS)1(R)-497(format)-496(the)-497(co)-28(e\016cien)28(ts)-497(to)-496(b)-28(e)-497(inserted)-496(for)-497(eac)28(h)-496(input)-497(ro)28(w)]TJ/F11 9.9626 Tf 314.876 0 Td [(i)]TJ/F8 9.9626 Tf 8.91 0 Td [(=)]TJ -311.056 -11.955 Td [(1)]TJ/F11 9.9626 Tf 4.981 0 Td [(;)-167(nr)]TJ/F8 9.9626 Tf 18.296 0 Td [(are)-313(represen)28(ted)-313(b)28(y)-313(the)-313(ordered)-313(triples)-313(\050)]TJ/F11 9.9626 Tf 169.802 0 Td [(i)]TJ/F8 9.9626 Tf 5.238 0 Td [(+)]TJ/F11 9.9626 Tf 9.555 0 Td [(ir)-28(w)]TJ/F14 9.9626 Tf 17.41 0 Td [(\000)]TJ/F8 9.9626 Tf 9.555 0 Td [(1\051)]TJ/F11 9.9626 Tf 8.855 0 Td [(;)-167(j)-57(a)]TJ/F8 9.9626 Tf 14.367 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(j)]TJ/F8 9.9626 Tf 4.673 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(v)-36(al)]TJ/F8 9.9626 Tf 18.049 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(j)]TJ/F8 9.9626 Tf 4.672 0 Td [(\051,)-317(for)]TJ/F11 9.9626 Tf -297.077 -11.955 Td [(j)]TJ/F8 9.9626 Tf 8.598 0 Td [(=)]TJ/F11 9.9626 Tf 11.674 0 Td [(ir)-28(p)]TJ/F8 9.9626 Tf 13.217 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.875 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(ir)-28(p)]TJ/F8 9.9626 Tf 35.355 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 6.11 0 Td [(+)-269(1\051)]TJ/F14 9.9626 Tf 21.958 0 Td [(\000)]TJ/F8 9.9626 Tf 10.426 0 Td [(1;)-438(these)-403(triples)-403(should)-403(b)-28(elong)-403(to)-403(the)-403(curren)28(t)]TJ -122.393 -11.956 Td [(pro)-28(cess,)-272(i.e.)]TJ/F11 9.9626 Tf 53.793 0 Td [(i)]TJ/F8 9.9626 Tf 4.124 0 Td [(+)]TJ/F11 9.9626 Tf 8.44 0 Td [(ir)-28(w)]TJ/F14 9.9626 Tf 16.295 0 Td [(\000)]TJ/F8 9.9626 Tf 8.44 0 Td [(1)-257(should)-257(b)-27(e)-257(one)-257(of)-257(the)-257(lo)-28(cal)-257(indices,)-272(but)-257(are)-257(otherwise)]TJ -91.092 -11.955 Td [(arbitrary;)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ + -12.73 -19.925 Td [(7.)]TJ 0 g 0 G - [-500(Dense)-333(v)27(ectors/matrices)-333(do)-333(not)-334(ha)28(v)28(e)-334(an)-333(asso)-28(ciated)-333(state;)]TJ + [-500(There)-386(is)-385(no)-386(requiremen)28(t)-386(that)-386(a)-385(giv)28(en)-386(ro)28(w)-386(m)28(ust)-386(b)-28(e)-385(passe)-1(d)-385(in)-386(its)-385(e)-1(n)28(tiret)28(y)]TJ 12.73 -11.955 Td [(to)-355(a)-354(single)-355(call)-354(to)-355(this)-354(routine:)-487(the)-355(buildup)-354(of)-355(a)-354(ro)28(w)-355(ma)28(y)-355(b)-28(e)-354(split)-355(in)28(to)-354(as)]TJ 0 -11.955 Td [(man)28(y)-334(calls)-333(as)-333(desired)-334(\050ev)28(en)-333(in)-333(the)-334(CSR)-333(format\051;)]TJ 0 g 0 G - 0 -19.925 Td [(2.)]TJ + -12.73 -19.926 Td [(8.)]TJ +0 g 0 G + [-500(Co)-28(e\016cien)28(ts)-409(from)-410(di\013eren)28(t)-409(ro)28(ws)-410(ma)28(y)-409(also)-409(b)-28(e)-409(mixed)-410(up)-409(freely)-409(in)-409(a)-410(single)]TJ 12.73 -11.955 Td [(call,)-333(according)-334(to)-333(the)-333(application)-333(nee)-1(d)1(s)-1(;)]TJ +0 g 0 G + -12.73 -19.925 Td [(9.)]TJ +0 g 0 G + [-500(An)28(y)-416(co)-28(e\016cien)28(ts)-416(from)-416(matrix)-416(ro)28(ws)-416(not)-416(o)28(wned)-416(b)28(y)-416(the)-416(calling)-416(pro)-28(cess)-416(are)]TJ 12.73 -11.955 Td [(silen)28(tly)-334(ign)1(ored;)]TJ +0 g 0 G + -17.711 -19.926 Td [(10.)]TJ +0 g 0 G + [-500(If)-358(the)-359(descriptor)-358(is)-359(in)-358(the)-359(assem)28(bled)-359(state,)-364(then)-359(an)28(y)-359(en)28(tries)-358(in)-359(the)-358(sparse)]TJ 17.711 -11.955 Td [(matrix)-430(that)-429(w)27(ould)-429(generate)-430(additional)-430(comm)28(unication)-430(requiremen)28(ts)-430(are)]TJ 0 -11.955 Td [(ignored;)]TJ +0 g 0 G + -17.711 -19.925 Td [(11.)]TJ 0 g 0 G - [-500(Duplicate)-292(en)28(tries)-293(are)-292(either)-292(o)28(v)28(erwritten)-292(or)-293(added,)-300(there)-292(is)-292(no)-292(pro)27(vision)-292(for)]TJ 12.73 -11.955 Td [(raising)-333(an)-334(error)-333(condition.)]TJ + [-500(If)-308(the)-309(matrix)-309(is)-308(in)-309(the)-308(up)-28(date)-309(state,)-313(an)28(y)-309(en)28(tries)-309(in)-308(p)-28(ositions)-309(th)1(at)-309(w)28(ere)-309(not)]TJ 17.711 -11.955 Td [(presen)28(t)-334(in)-333(the)-333(original)-333(matrix)-334(are)-333(ignored.)]TJ 0 g 0 G - 141.968 -494.147 Td [(85)]TJ + 141.968 -384.558 Td [(83)]TJ 0 g 0 G ET endstream endobj -1444 0 obj +1452 0 obj << -/Length 5215 +/Length 6648 >> stream 0 g 0 G @@ -16563,614 +16691,524 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(geasb)-375(|)-375(Assem)31(bly)-375(a)-375(dense)-375(matrix)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(spasb)-375(|)-375(Sparse)-375(matrix)-375(assem)31(bly)-375(routine)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_spasb\050a,)-525(desc_a,)-525(info,)-525(afmt,)-525(upd,)-525(dupl,)-525(mold\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -21.202 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.639 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(desc)]TJ + 0 -19.638 Td [(desc)]TJ ET q -1 0 0 1 172.619 626.17 cm +1 0 0 1 172.619 627.46 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ +/F27 9.9626 Tf 176.057 627.261 Td [(a)]TJ 0 g 0 G -/F8 9.9626 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9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-273(as:)-414(an)-274(ob)-55(ject)-273(of)-274(a)-273(class)-273(deriv)28(ed)-274(from)]TJ/F30 9.9626 Tf 198.261 0 Td [(psb)]TJ -ET -q -1 0 0 1 390.19 498.649 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 393.329 498.449 Td [(T)]TJ -ET -q -1 0 0 1 399.186 498.649 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 402.325 498.449 Td [(base)]TJ -ET -q -1 0 0 1 423.874 498.649 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 427.012 498.449 Td [(vect)]TJ +/F8 9.9626 Tf 27.736 0 Td [(the)-333(storage)-334(format)-333(for)-333(the)-334(sparse)-333(matrix.)]TJ -2.829 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td 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9.9626 Tf 43.78 0 Td [(psb)]TJ +/F30 9.9626 Tf 398.417 297.647 Td [(T)]TJ ET q -1 0 0 1 338.042 486.693 cm +1 0 0 1 404.275 297.847 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 341.18 486.494 Td [(T)]TJ +/F30 9.9626 Tf 407.413 297.647 Td [(base)]TJ ET q -1 0 0 1 347.038 486.693 cm +1 0 0 1 428.962 297.847 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.177 486.494 Td [(vect)]TJ +/F30 9.9626 Tf 432.101 297.647 Td [(sparse)]TJ ET q -1 0 0 1 371.725 486.693 cm +1 0 0 1 464.11 297.847 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 374.864 486.494 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F30 9.9626 Tf 467.248 297.647 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -245.08 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -332.234 -21.201 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ + 0 -19.639 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(as)-1(sem)28(bled.)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-434(or)-433(t)28(w)28(o)-434(arra)28(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-56(ject)-333(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(assem)28(bled.)]TJ 14.355 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf -25.184 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ -ET -q -1 0 0 1 255.857 385.075 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 258.995 384.875 Td [(T)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 264.853 385.075 cm +1 0 0 1 362.845 209.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 267.992 384.875 Td [(vect)]TJ +/F30 9.9626 Tf 365.983 208.986 Td [(Tspmat)]TJ ET q -1 0 0 1 289.541 385.075 cm +1 0 0 1 397.993 209.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 292.679 384.875 Td [(type)]TJ +/F30 9.9626 Tf 401.131 208.986 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -162.895 -31.88 Td [(info)]TJ +/F27 9.9626 Tf -271.347 -19.638 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.201 Td [(Notes)]TJ 0 g 0 G - 141.968 -214.736 Td [(86)]TJ +/F8 9.9626 Tf 166.874 -29.888 Td [(84)]TJ 0 g 0 G ET endstream endobj -1450 0 obj +1456 0 obj << -/Length 3378 +/Length 2248 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 124.986 706.129 Td [(gefree)-375(|)-375(F)94(rees)-375(a)-375(dense)-375(matrix)]TJ +/F8 9.9626 Tf 112.072 706.129 Td [(1.)]TJ 0 g 0 G + [-500(On)-406(en)28(try)-406(to)-406(this)-406(routine)-406(the)-406(descriptor)-406(m)28(ust)-406(b)-28(e)-406(in)-406(the)-406(assem)28(bled)-406(state)-1(,)]TJ 12.73 -11.955 Td [(i.e.)]TJ/F30 9.9626 Tf 17.158 0 Td [(psb_cdasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(m)28(ust)-334(already)-333(ha)28(v)28(e)-334(b)-27(een)-334(called.)]TJ 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_gefree\050x,)-525(desc_a,)-525(info\051)]TJ + -80.282 -19.926 Td [(2.)]TJ 0 g 0 G -/F27 9.9626 Tf 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-11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 488.27 cm +1 0 0 1 362.845 510.604 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 488.07 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 510.405 Td [(desc)]TJ ET q -1 0 0 1 336.723 488.27 cm +1 0 0 1 387.532 510.604 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 488.07 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.638 Td [(iact)]TJ -0 g 0 G -/F8 9.9626 Tf 23.281 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.147 0 Td [(global)]TJ/F8 9.9626 Tf -255.521 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.231 0 Td [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore.)]TJ -0 g 0 G -/F27 9.9626 Tf -317.117 -19.639 Td [(o)32(wned)]TJ -0 g 0 G -/F8 9.9626 Tf 36.647 0 Td [(Sp)-28(ec\014es)-333(v)55(alid)-333(range)-333(of)-334(i)1(nput)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 158.933 0 Td [(global)]TJ/F8 9.9626 Tf -170.673 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(If)-294(true,)-302(then)-294(only)-295(indices)-294(strictly)-294(o)28(wned)-295(b)28(y)-294(the)-294(curren)28(t)-295(pro)-27(ces)-1(s)-294(are)-294(consid-)]TJ 0 -11.955 Td [(ered)-333(v)55(alid,)-333(if)-333(false)-334(then)-333(halo)-333(indices)-334(are)-333(also)-333(accepted.)-445(Default:)-444(false.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -21.202 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -19.639 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.133 0 Td [(y)]TJ/F8 9.9626 Tf 8.733 0 Td [(is)-350(not)-351(presen)28(t,)-355(then)]TJ/F11 9.9626 Tf 88.586 0 Td [(x)]TJ/F8 9.9626 Tf 9.185 0 Td [(is)-350(o)27(v)28(erwritten)-350(with)-351(th)1(e)-351(translated)-350(in)28(teger)-351(indices.)]TJ -102.758 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.639 Td [(y)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.04 0 Td [(y)]TJ/F8 9.9626 Tf 8.64 0 Td [(is)-341(presen)28(t,)-343(then)]TJ/F11 9.9626 Tf 70.405 0 Td [(y)]TJ/F8 9.9626 Tf 8.64 0 Td [(is)-341(o)28(v)27(erwri)1(tte)-1(n)-341(with)-341(the)-341(translated)-341(in)28(teger)-341(indices,)-343(and)]TJ/F11 9.9626 Tf -83.846 -11.955 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(left)-334(unc)28(hanged.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.242 0 Td [(global)]TJ/F8 9.9626 Tf -122.257 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.638 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.202 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 166.875 -29.887 Td [(89)]TJ -0 g 0 G -ET - -endstream -endobj -1464 0 obj -<< -/Length 705 ->> -stream -0 g 0 G +/F30 9.9626 Tf 390.67 510.405 Td [(type)]TJ 0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -BT -/F8 9.9626 Tf 162.881 706.129 Td [(1.)]TJ +/F27 9.9626 Tf -260.887 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G - [-500(If)-352(an)-353(input)-352(index)-352(is)-353(out)-352(of)-353(r)1(ange)-1(,)-357(then)-352(the)-352(corres)-1(p)-27(onding)-353(ou)1(tput)-353(index)-352(is)]TJ 12.73 -11.955 Td [(set)-333(to)-334(a)-333(negativ)28(e)-334(n)28(um)28(b)-28(er;)]TJ 0 g 0 G - -12.73 -19.926 Td [(2.)]TJ + 0 -19.926 Td [(info)]TJ 0 g 0 G - [-500(The)-476(default)]TJ/F30 9.9626 Tf 69.543 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore)-476(means)-477(that)-476(the)-476(negativ)28(e)-477(out)1(put)-477(is)-476(the)-476(only)-476(action)]TJ -62.043 -11.955 Td [(tak)28(en)-334(on)-333(an)-333(out-of-range)-333(input.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 141.968 -571.855 Td [(90)]TJ + 141.968 -330.303 Td [(86)]TJ 0 g 0 G ET endstream endobj -1471 0 obj +1476 0 obj << -/Length 5721 +/Length 3991 >> stream 0 g 0 G @@ -17587,93 +17540,93 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(lo)-31(c)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(sprn)-391(|)-391(Reinit)-391(sparse)-391(matrix)-391(structure)-391(for)-391(psblas)-391(rou-)]TJ -25.091 -13.948 Td [(tines.)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf 0 -18.389 Td [(call)-525(psb_sprn\050a,)-525(decsc_a,)-525(info,)-525(clear\051)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.926 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(reinitialized.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 142.605 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 312.036 564.402 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 146.64 706.129 Td [(to)]TJ +/F30 9.9626 Tf 315.174 564.203 Td [(Tspmat)]TJ ET q -1 0 0 1 159.402 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 347.183 564.402 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 163.437 706.129 Td [(glob)-375(|)-375(Lo)-31(cal)-375(to)-375(global)-375(indices)-375(con)31(v)31(ersion)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -63.542 -18.389 Td [(call)-525(psb_loc_to_glob\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 -11.956 Td [(call)-525(psb_loc_to_glob\050x,)-525(desc_a,)-525(info,)-525(iact\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F30 9.9626 Tf 350.322 564.203 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(An)-333(in)28(te)-1(ger)-333(v)28(ector)-333(of)-334(indices)-333(to)-333(b)-28(e)-334(con)28(v)28(erted.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.645 0 Td [(.)]TJ -76.131 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +/F27 9.9626 Tf -271.348 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 534.514 cm +1 0 0 1 121.81 544.477 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 534.315 Td [(a)]TJ +/F27 9.9626 Tf 125.247 544.278 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 486.693 cm +1 0 0 1 312.036 496.656 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 486.494 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 496.457 Td [(desc)]TJ ET q -1 0 0 1 336.723 486.693 cm +1 0 0 1 336.723 496.656 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 486.494 Td [(type)]TJ +/F30 9.9626 Tf 339.861 496.457 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(iact)]TJ -0 g 0 G -/F8 9.9626 Tf 23.281 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.147 0 Td [(global)]TJ/F8 9.9626 Tf -255.521 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.231 0 Td [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore.)]TJ -0 g 0 G -/F27 9.9626 Tf -317.117 -21.917 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -260.887 -19.925 Td [(clear)]TJ 0 g 0 G +/F8 9.9626 Tf 28.795 0 Td 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[(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(y)]TJ + 0 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.167 0 Td [(y)]TJ/F8 9.9626 Tf 8.767 0 Td [(is)-354(not)-354(presen)28(t,)-359(then)]TJ/F11 9.9626 Tf 88.732 0 Td [(y)]TJ/F8 9.9626 Tf 8.766 0 Td [(is)-354(o)28(v)28(erwritten)-354(with)-354(the)-354(translated)-353(in)27(teger)-353(indices,)]TJ -102.553 -11.955 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(left)-334(unc)28(hanged.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.242 0 Td [(global)]TJ/F8 9.9626 Tf -141.629 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(sparse)-333(matrix)-333(is)-334(in)-333(the)-333(up)-28(date)-333(s)-1(tat)1(e)-1(.)]TJ 0 g 0 G - 141.968 -115.11 Td [(91)]TJ + 154.698 -206.766 Td [(87)]TJ 0 g 0 G ET endstream endobj -1477 0 obj +1483 0 obj << -/Length 3279 +/Length 5111 >> stream 0 g 0 G @@ -17686,78 +17639,100 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(is)]TJ -ET -q -1 0 0 1 185.644 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 189.679 706.129 Td [(o)31(wned)-375(|)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(geall)-375(|)-375(Allo)-31(cates)-375(a)-375(dense)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -38.974 -18.389 Td [(call)-525(psb_is_owned\050x,)-525(desc_a\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info,)-525(n,)-525(lb\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(ind)1(e)-1(x.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(scalar)-333(in)28(teger.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 172.619 546.469 cm +1 0 0 1 172.619 626.17 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 546.27 Td [(a)]TJ +/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 498.649 cm +1 0 0 1 329.276 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 498.449 Td [(desc)]TJ +/F30 9.9626 Tf 332.415 578.15 Td [(desc)]TJ ET q -1 0 0 1 387.532 498.649 cm +1 0 0 1 353.964 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 498.449 Td [(type)]TJ +/F30 9.9626 Tf 357.102 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -227.318 -31.88 Td [(n)]TJ 0 g 0 G +/F8 9.9626 Tf 11.346 0 Td [(The)-333(n)27(um)28(b)-28(er)-333(of)-333(columns)-334(of)-333(the)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)27(t)-342(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.111 0 Td [(is)-343(a)]TJ -303.71 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ 0 g 0 G - 0 -19.926 Td [(F)96(unction)-384(v)64(alue)]TJ +/F27 9.9626 Tf -24.906 -19.925 Td [(lb)]TJ 0 g 0 G -/F8 9.9626 Tf 78.386 0 Td [(A)-302(logical)-301(mask)-302(whic)28(h)-302(is)-302(tru)1(e)-302(if)]TJ/F11 9.9626 Tf 134.085 0 Td [(x)]TJ/F8 9.9626 Tf 8.7 0 Td [(is)-302(o)28(wned)-302(b)28(y)-301(the)-302(curren)28(t)-302(pro-)]TJ -196.265 -11.955 Td [(cess)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 52.415 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -52.415 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ/F16 11.9552 Tf -74.941 -33.873 Td [(Notes)]TJ +/F8 9.9626 Tf 14.529 0 Td [(The)-489(lo)28(w)27(er)-489(b)-27(ound)-489(for)-489(the)-490(colu)1(m)-1(n)-489(ind)1(e)-1(x)-489(range)-489(of)-489(the)-489(dense)-489(matrix)-489(to)-489(b)-28(e)]TJ 10.377 -11.955 Td [(allo)-28(cated.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)27(t)-342(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.111 0 Td [(is)-343(a)]TJ -303.71 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.926 Td [(1.)]TJ +/F27 9.9626 Tf -24.906 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G - [-500(This)-300(routine)-300(r)1(e)-1(tu)1(rns)-300(a)]TJ/F30 9.9626 Tf 111.214 0 Td [(.true.)]TJ/F8 9.9626 Tf 34.368 0 Td [(v)56(alue)-300(for)-300(an)-300(index)-299(that)-300(is)-300(strictly)-300(o)28(wned)-300(b)28(y)]TJ -132.852 -11.955 Td [(the)-333(curren)27(t)-333(pro)-28(cess,)-333(excluding)-333(the)-334(halo)-333(indices)]TJ 0 g 0 G - 141.968 -264.549 Td [(92)]TJ + 0 -19.925 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-303(as)-1(:)-429(a)-304(rank)-303(one)-304(or)-304(t)28(w)28(o)-304(arra)28(y)-304(with)-304(th)1(e)-304(ALLOCA)83(T)83(ABLE)-303(attribute)]TJ 0 -11.955 Td [(or)-333(an)-334(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 89.969 0 Td [(psb)]TJ +ET +q +1 0 0 1 281.898 293.418 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 285.037 293.219 Td [(T)]TJ +ET +q +1 0 0 1 290.895 293.418 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 294.033 293.219 Td [(vect)]TJ +ET +q +1 0 0 1 315.582 293.418 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 318.72 293.219 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ +0 g 0 G +/F27 9.9626 Tf -188.936 -31.88 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +0 g 0 G + 141.968 -123.08 Td [(88)]TJ 0 g 0 G ET endstream endobj -1483 0 obj +1489 0 obj << -/Length 4979 +/Length 6817 >> stream 0 g 0 G @@ -17770,262 +17745,290 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(o)31(wned)]TJ -ET -q -1 0 0 1 162.939 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 166.974 706.129 Td [(index)-375(|)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(geins)-375(|)-375(Dense)-375(matrix)-375(insertion)-375(routine)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -67.079 -18.389 Td [(call)-525(psb_owned_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_geins\050m,)-525(irw,)-525(val,)-525(x,)-525(desc_a,)-525(info)-525([,dupl,local]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -20.681 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.43 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ + 0 -19.431 Td [(m)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(indices.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td 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Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(iact)]TJ -0 g 0 G -/F8 9.9626 Tf 23.281 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.147 0 Td [(global)]TJ/F8 9.9626 Tf -255.521 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.231 0 Td [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore.)]TJ +/F27 9.9626 Tf -260.887 -19.43 Td [(dupl)]TJ 0 g 0 G -/F27 9.9626 Tf -317.117 -21.918 Td 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[(,)-298(are)-289(already)-288(in)-289(lo)-28(cal)-289(n)28(um)28(b)-28(er-)]TJ -191.609 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.false.)]TJ/F8 9.9626 Tf 36.612 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(A)-294(logical)-294(mask)-294(whic)28(h)-294(is)-294(true)-294(for)-294(all)-294(corresp)-28(onding)-294(en)28(tries)-294(of)]TJ/F11 9.9626 Tf 259.229 0 Td [(x)]TJ/F8 9.9626 Tf 8.623 0 Td [(that)-294(are)-294(o)28(wned)]TJ -253.973 -11.955 Td [(b)28(y)-333(the)-334(curren)28(t)-333(pro)-28(cess)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 132.752 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -132.752 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(scalar)-333(or)-334(ran)1(k)-334(one)-333(logical)-333(arra)27(y)84(.)]TJ +/F27 9.9626 Tf -224.575 -20.68 Td [(On)-383(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ + 0 -19.43 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(output)-334(dense)-333(matrix.)]TJ 13.879 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-232(as:)-394(a)-233(rank)-233(one)-232(or)-233(t)28(w)28(o)-233(arra)28(y)-233(or)-232(an)-233(ob)-55(ject)-233(of)-233(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 241.975 0 Td [(psb)]TJ +ET +q +1 0 0 1 383.096 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 386.234 144.236 Td [(T)]TJ +ET +q +1 0 0 1 392.092 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 395.231 144.236 Td [(vect)]TJ +ET +q +1 0 0 1 416.779 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 419.918 144.236 Td [(type)]TJ 0 g 0 G - [-500(This)-475(routine)-474(returns)-475(a)]TJ/F30 9.9626 Tf 118.186 0 Td [(.true.)]TJ/F8 9.9626 Tf 36.111 0 Td [(v)56(alue)-475(for)-475(those)-475(indices)-474(that)-475(are)-475(strictly)]TJ -141.567 -11.955 Td [(o)28(wned)-334(b)28(y)-333(the)-333(curren)27(t)-333(pro)-28(cess,)-333(excluding)-333(the)-334(halo)-333(indices)]TJ +/F8 9.9626 Tf 20.921 0 Td [(,)]TJ -316.037 -11.955 Td [(of)-333(t)27(y)1(p)-28(e)-334(real,)-333(complex)-333(or)-334(in)28(teger.)]TJ 0 g 0 G - 141.968 -141.013 Td [(93)]TJ + 141.968 -41.843 Td [(89)]TJ 0 g 0 G ET endstream endobj -1489 0 obj +1493 0 obj << -/Length 3247 +/Length 1115 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(Dense)-333(v)27(ectors/matrices)-333(do)-333(not)-334(ha)28(v)28(e)-334(an)-333(asso)-28(ciated)-333(state;)]TJ +0 g 0 G + 0 -19.925 Td [(2.)]TJ +0 g 0 G + [-500(Duplicate)-292(en)28(tries)-293(are)-292(either)-292(o)28(v)28(erwritten)-293(or)-292(added,)-300(there)-292(is)-292(no)-293(p)1(ro)27(vision)-292(for)]TJ 12.73 -11.955 Td [(raising)-333(an)-334(error)-333(condition.)]TJ +0 g 0 G + 141.968 -494.147 Td [(90)]TJ +0 g 0 G ET -q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q + +endstream +endobj +1502 0 obj +<< +/Length 5215 +>> +stream +0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 175.796 706.129 Td 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[(Sp)-28(eci\014ed)-333(as:)-445(a)-333(scalar)-333(or)-334(a)-333(rank)-333(one)-334(in)28(teger)-333(arra)28(y)83(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -31.88 Td [(desc)]TJ ET q -1 0 0 1 253.559 542.941 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 172.619 546.469 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F11 9.9626 Tf 256.548 542.742 Td [(ov)-36(w)]TJ +/F27 9.9626 Tf 176.057 546.27 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET 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13.67 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(;)-418(th)28(us,)-405(u)1(p)-28(on)-390(return)-390(from)-390(the)-390(subroutine,)]TJ -139.046 -11.955 Td [(for)-333(eac)27(h)-333(index)]TJ/F11 9.9626 Tf 64.505 0 Td [(i)]TJ/F8 9.9626 Tf 6.752 0 Td [(w)28(e)-333(ha)27(v)28(e)-333(in)]TJ/F11 9.9626 Tf 49.256 0 Td [(ix)]TJ/F8 9.9626 Tf 9.126 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-333(the)-333(p)-28(osition)-333(that)-333(the)-334(item)]TJ/F11 9.9626 Tf 123.751 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-333(o)-28(ccupied)]TJ -273.697 -11.955 Td [(in)-333(the)-334(original)-333(data)-333(sequence;)]TJ +/F30 9.9626 Tf 390.67 498.449 Td [(type)]TJ 0 g 0 G - -12.73 -19.925 Td [(5.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G - [-500(If)]TJ/F11 9.9626 Tf 23.404 0 Td [(f)-108(l)-19(ag)]TJ/F8 9.9626 Tf 23.446 0 Td [(=)]TJ/F11 9.9626 Tf 11.701 0 Td [(psb)]TJ -ET -q -1 0 0 1 235.988 487.15 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 238.977 486.951 Td [(sor)-28(t)]TJ -ET -q -1 0 0 1 257.443 487.15 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +/F27 9.9626 Tf -260.887 -19.925 Td [(iact)]TJ +0 g 0 G +/F8 9.9626 Tf 23.28 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.148 0 Td [(global)]TJ/F8 9.9626 Tf -255.522 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.23 0 Td [(b)-28(ort,)-271(d)1(e)-1(f)1(ault)]TJ/F30 9.9626 Tf 56.742 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore.)]TJ +0 g 0 G +/F27 9.9626 Tf -317.116 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.926 Td [(y)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(A)-294(logical)-294(mask)-294(whic)28(h)-294(is)-294(true)-294(for)-294(all)-294(corresp)-28(onding)-294(en)28(tries)-294(of)]TJ/F11 9.9626 Tf 259.229 0 Td [(x)]TJ/F8 9.9626 Tf 8.623 0 Td [(that)-294(are)-294(o)28(wned)]TJ -253.974 -11.955 Td [(b)28(y)-334(the)-333(curren)28(t)-333(pro)-28(cess)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 132.753 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -132.752 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(scalar)-333(or)-334(r)1(ank)-334(one)-333(logical)-333(arra)27(y)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(An)-333(in)28(teger)-334(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(This)-475(routine)-474(returns)-475(a)]TJ/F30 9.9626 Tf 118.186 0 Td [(.true.)]TJ/F8 9.9626 Tf 36.112 0 Td [(v)56(alue)-475(for)-475(those)-475(indices)-474(that)-475(are)-475(strictly)]TJ -141.567 -11.955 Td [(o)28(wned)-334(b)28(y)-333(the)-333(curren)27(t)-333(pro)-28(cess,)-333(excluding)-333(the)-334(halo)-333(indices)]TJ +0 g 0 G + 141.967 -141.013 Td [(98)]TJ +0 g 0 G +ET + +endstream +endobj +1547 0 obj +<< +/Length 3240 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +ET +q +1 0 0 1 120.951 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F11 9.9626 Tf 260.432 486.951 Td [(k)-31(ee)-1(p)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(is)]TJ ET q -1 0 0 1 280.82 487.15 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 134.834 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F11 9.9626 Tf 283.809 486.951 Td [(idx)]TJ +/F16 11.9552 Tf 138.869 706.129 Td [(lo)-31(cal)-375(|)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -38.974 -18.389 Td [(call)-525(psb_is_local\050x,)-525(desc_a\051)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(index.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(scalar)-333(in)28(teger.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q -1 0 0 1 298.718 487.15 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 121.81 546.469 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F8 9.9626 Tf 305.739 486.951 Td [(the)-405(routine)-404(will)-405(assume)-405(that)-404(the)-405(en)28(tries)-405(in)]TJ/F11 9.9626 Tf -130.128 -11.955 Td [(ix)]TJ/F8 9.9626 Tf 9.127 0 Td [(\050:\051)-333(ha)28(v)27(e)-333(already)-333(b)-28(een)-333(initialized)-334(b)28(y)-333(the)-333(use)-1(r;)]TJ +/F27 9.9626 Tf 125.247 546.27 Td [(a)]TJ 0 g 0 G - -21.857 -19.926 Td [(6.)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 312.036 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 498.449 Td [(desc)]TJ +ET +q +1 0 0 1 336.723 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 339.861 498.449 Td [(type)]TJ 0 g 0 G - [-500(The)-376(three)-375(sorting)-376(algorithms)-376(ha)28(v)28(e)-376(a)-376(similar)]TJ/F11 9.9626 Tf 208.295 0 Td [(O)]TJ/F8 9.9626 Tf 7.876 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(n)]TJ/F8 9.9626 Tf 7.64 0 Td [(log)]TJ/F11 9.9626 Tf 14.529 0 Td [(n)]TJ/F8 9.9626 Tf 5.98 0 Td [(\051)-376(exp)-27(ec)-1(t)1(e)-1(d)-375(running)]TJ -235.465 -11.955 Td [(time;)-349(in)-343(the)-344(a)28(v)28(erage)-344(case)-344(qu)1(ic)27(ksort)-343(will)-344(b)-28(e)-343(the)-344(fastest)-343(and)-344(merge-sort)-343(the)]TJ 0 -11.955 Td [(slo)28(w)27(est.)-444(Ho)28(w)27(ev)28(er)-333(note)-333(that:)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - 4.207 -19.925 Td [(\050a\051)]TJ +/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ 0 g 0 G - [-500(The)-419(w)28(orst)-419(case)-419(run)1(ning)-419(time)-419(for)-419(qui)1(c)27(ksort)-418(is)]TJ/F11 9.9626 Tf 221.058 0 Td [(O)]TJ/F8 9.9626 Tf 7.876 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(n)]TJ/F7 6.9738 Tf 5.98 3.615 Td [(2)]TJ/F8 9.9626 Tf 4.469 -3.615 Td [(\051;)-461(the)-419(algorithm)]TJ -225.547 -11.955 Td [(implemen)28(ted)-319(here)-319(follo)28(ws)-319(the)-319(w)27(ell-kno)28(wn)-319(median-of-three)-319(heuristics,)]TJ 0 -11.956 Td [(but)-333(the)-334(w)28(orst)-333(case)-334(ma)28(y)-333(still)-334(app)1(ly;)]TJ 0 g 0 G - -18.265 -15.94 Td [(\050b\051)]TJ + 0 -19.926 Td [(F)96(unction)-384(v)64(alue)]TJ 0 g 0 G - [-500(The)-222(w)28(orst)-223(case)-222(running)-222(time)-222(for)-223(merge-sort)-222(and)-222(heap-sort)-222(is)]TJ/F11 9.9626 Tf 273.309 0 Td [(O)]TJ/F8 9.9626 Tf 7.876 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(n)]TJ/F8 9.9626 Tf 7.64 0 Td [(log)]TJ/F11 9.9626 Tf 14.529 0 Td [(n)]TJ/F8 9.9626 Tf 5.98 0 Td [(\051)]TJ -294.944 -11.955 Td [(as)-333(the)-334(a)28(v)28(erage)-334(case;)]TJ +/F8 9.9626 Tf 78.387 0 Td [(A)-264(logical)-265(mask)-264(whic)27(h)-264(is)-265(true)-264(if)]TJ/F11 9.9626 Tf 131.492 0 Td [(x)]TJ/F8 9.9626 Tf 8.329 0 Td [(is)-264(lo)-28(cal)-265(to)-264(the)-265(curren)28(t)-264(pro)-28(cess)]TJ -193.301 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ/F16 11.9552 Tf -74.942 -33.873 Td [(Notes)]TJ 0 g 0 G - -17.158 -15.94 Td [(\050c\051)]TJ +/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ 0 g 0 G - [-500(The)-358(merge-sort)-358(algorithm)-357(is)-358(implemen)28(ted)-358(to)-358(tak)28(e)-358(adv)56(an)28(tage)-358(of)-358(sub-)]TJ 17.158 -11.955 Td [(sequences)-401(that)-400(ma)28(y)-401(b)-28(e)-400(already)-401(in)-400(the)-401(desired)-400(ordering)-400(prior)-401(to)-400(the)]TJ 0 -11.956 Td [(subroutine)-246(call;)-275(this)-246(situation)-246(is)-247(relativ)28(ely)-246(common)-246(when)-246(dealing)-246(with)]TJ 0 -11.955 Td [(groups)-301(of)-301(indices)-301(of)-302(sparse)-301(matrix)-301(en)28(tries,)-308(th)28(us)-301(merge-sort)-302(is)-301(the)-301(pre-)]TJ 0 -11.955 Td [(ferred)-249(c)28(hoice)-249(when)-249(a)-249(sorting)-248(is)-249(needed)-249(b)28(y)-249(other)-249(routines)-249(in)-249(t)1(he)-249(library)83(.)]TJ + [-500(This)-239(routine)-239(returns)-239(a)]TJ/F30 9.9626 Tf 108.787 0 Td [(.true.)]TJ/F8 9.9626 Tf 33.762 0 Td [(v)56(alue)-239(for)-239(an)-239(index)-239(that)-239(is)-238(lo)-28(cal)-239(to)-239(the)-239(curren)28(t)]TJ -129.819 -11.955 Td [(pro)-28(cess,)-333(including)-333(the)-334(halo)-333(indices)]TJ 0 g 0 G - 117.559 -205.23 Td [(102)]TJ + 141.968 -264.549 Td [(99)]TJ 0 g 0 G ET endstream endobj -1551 0 obj +1553 0 obj << -/Length 182 +/Length 4993 >> stream 0 g 0 G 0 g 0 G BT -/F16 14.3462 Tf 99.895 706.129 Td [(7)-1125(P)31(arallel)-375(en)31(vironmen)32(t)-375(routines)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +ET +q +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 175.796 706.129 Td [(lo)-31(cal)]TJ +ET +q +1 0 0 1 203.689 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 207.724 706.129 Td [(index)-375(|)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -57.019 -18.389 Td [(call)-525(psb_local_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(ind)1(ic)-1(es.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.646 0 Td [(.)]TJ -76.131 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(scalar)-333(or)-334(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 546.469 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 546.27 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 362.845 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 365.983 498.449 Td [(desc)]TJ +ET +q +1 0 0 1 387.532 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 390.67 498.449 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 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9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(This)-308(routine)-309(return)1(s)-309(a)]TJ/F30 9.9626 Tf 111.554 0 Td [(.true.)]TJ/F8 9.9626 Tf 34.454 0 Td [(v)56(alue)-309(for)-308(those)-308(indices)-309(that)-308(are)-308(lo)-28(cal)-308(to)-309(the)]TJ -133.278 -11.955 Td [(curren)28(t)-334(p)1(ro)-28(cess,)-334(including)-333(the)-333(halo)-334(i)1(ndices)-1(.)]TJ +0 g 0 G + 139.477 -141.013 Td [(100)]TJ 0 g 0 G ET endstream endobj -1556 0 obj +1559 0 obj << -/Length 5574 +/Length 3822 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ 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[(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)-778(Defau)1(lt:)-445(use)-333(all)-334(a)28(v)56(ailable)-333(pro)-28(cesses.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(basectxt)]TJ + 0 -19.925 Td [(desc)]TJ 0 g 0 G -/F8 9.9626 Tf 46.736 0 Td [(the)-356(initial)-357(comm)28(unication)-356(con)28(text.)-514(The)-356(new)-357(con)28(text)-356(will)-357(b)-27(e)-357(de\014ned)]TJ -21.829 -11.955 Td [(from)-333(the)-334(pro)-27(cesse)-1(s)-333(participating)-333(in)-333(the)-334(initial)-333(one.)]TJ 0 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-778(Defau)1(lt:)-445(use)-333(MPI)]TJ +/F8 9.9626 Tf 26.209 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -1.302 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 389.991 466.768 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 312.036 578.35 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 392.98 466.569 Td [(COMM)]TJ +/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ ET q -1 0 0 1 426.787 466.768 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 336.723 578.35 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 429.775 466.569 Td [(W)28(ORLD.)]TJ +/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -279.07 -19.925 Td [(ids)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 19.048 0 Td [(Iden)28(tities)-497(of)-497(the)-497(pro)-28(cesses)-497(to)-497(use)-497(for)-497(the)-497(new)-498(con)28(text;)-579(the)-497(argumen)28(t)-497(is)]TJ 5.858 -11.956 Td [(ignored)-428(when)]TJ/F30 9.9626 Tf 63.346 0 Td [(np)]TJ/F8 9.9626 Tf 14.723 0 Td [(is)-428(not)-428(sp)-27(eci\014ed.)-728(This)-428(allo)28(ws)-428(the)-428(pro)-27(ces)-1(ses)-427(in)-428(the)-428(new)]TJ -78.069 -11.955 Td [(en)28(vironmen)28(t)-334(to)-333(b)-28(e)-333(in)-333(an)-334(order)-333(di\013eren)28(t)-334(from)-333(the)-333(original)-333(one.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)-778(Default:)-444(use)-334(the)-333(indices)-333(\0500)]TJ/F11 9.9626 Tf 254.159 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F14 9.9626 Tf 26.489 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1\051.)]TJ +/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -315.517 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G + 0 -19.926 Td [(bndel)]TJ 0 g 0 G - 0 -19.925 Td [(icon)32(txt)]TJ +/F8 9.9626 Tf 32.51 0 Td [(The)-268(list)-267(of)-268(b)-27(oundary)-268(elemen)28(ts)-268(on)-267(the)-268(calling)-267(pro)-28(cess,)-281(in)-267(lo)-28(cal)-268(n)28(um)28(b)-28(ering.)]TJ -7.603 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 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[-500(A)-333(call)-334(to)-333(this)-333(routine)-334(m)28(ust)-333(precede)-334(an)28(y)-333(other)-333(PSBLAS)-334(call.)]TJ +/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ 0 g 0 G - 0 -19.925 Td [(2.)]TJ + [-500(If)-269(there)-269(are)-269(no)-269(b)-28(oundary)-269(elemen)28(ts)-269(\050i.e.,)-282(if)-269(the)-269(lo)-28(cal)-269(part)-269(of)-269(the)-269(c)-1(onn)1(e)-1(ctivi)1(t)27(y)]TJ 12.73 -11.955 Td [(graph)-449(is)-450(self-con)28(tained\051)-450(the)-449(output)-449(v)27(ector)-449(is)-450(set)-449(to)-450(the)-449(\134not)-450(allo)-27(c)-1(ated")]TJ 0 -11.955 Td [(state.)]TJ +0 g 0 G + -12.73 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(It)-262(is)-262(an)-262(error)-262(to)-262(sp)-28(ecify)-262(a)-262(v)56(alue)-262(for)]TJ/F11 9.9626 Tf 159.87 0 Td [(np)]TJ/F8 9.9626 Tf 13.602 0 Td [(greater)-262(than)-262(the)-262(n)28(um)28(b)-28(er)-262(of)-262(pro)-28(cesses)]TJ -160.742 -11.955 Td 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[(.)]TJ +0 g 0 G +/F27 9.9626 Tf -147.308 -24.503 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -22.511 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(The)-333(sequence)-334(of)-333(v)55(alu)1(e)-1(s,)-333(in)-333(the)-334(c)28(hosen)-333(ordering.)]TJ 13.879 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger,)-333(real)-334(or)-333(complex)-333(arra)27(y)-333(of)-333(rank)-333(1.)]TJ 0 g 0 G - 139.477 -170.9 Td [(112)]TJ +/F27 9.9626 Tf -24.907 -22.511 Td [(ix)]TJ +0 g 0 G +/F8 9.9626 Tf 14.211 0 Td [(A)-333(v)28(e)-1(ctor)-333(of)-333(indices.)]TJ 10.696 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-332(in)27(teger)-332(arra)28(y)-333(of)-332(rank)-332(1,)-333(whose)-333(en)28(tries)-332(are)-333(mo)28(v)28(ed)-333(to)-332(the)-333(same)-332(p)-28(osition)]TJ 0 -11.955 Td [(as)-333(the)-334(corresp)-27(onding)-334(en)28(tries)-333(in)]TJ/F11 9.9626 Tf 136.958 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ +0 g 0 G + -3.175 -43.727 Td [(106)]TJ 0 g 0 G ET endstream endobj -1601 0 obj +1597 0 obj << -/Length 5146 +/Length 6995 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 124.986 706.129 Td [(sum)-375(|)-375(Global)-375(sum)]TJ -0 g 0 G +/F16 11.9552 Tf 99.895 706.129 Td [(Notes)]TJ 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_sum\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-318(subroutine)-319(implemen)28(ts)-318(a)-319(sum)-318(reduction)-318(op)-28(eration)-318(based)-319(on)-318(the)-318(under-)]TJ -14.944 -11.955 Td [(lying)-333(comm)27(unication)-333(library)84(.)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ + [-500(F)83(or)-466(in)28(tege)-1(r)-466(or)-467(real)-466(data)-467(the)-467(sorting)-466(can)-467(b)-28(e)-466(p)-28(erformed)-467(in)-466(the)-467(up/do)28(wn)]TJ 12.73 -11.956 Td [(direction,)-333(on)-334(th)1(e)-334(natural)-333(or)-333(absolute)-334(v)56(alues;)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ + -12.73 -19.925 Td [(2.)]TJ 0 g 0 G + [-500(F)83(or)-397(complex)-398(data)-398(the)-397(sorting)-398(can)-398(b)-27(e)-398(done)-398(in)-397(a)-398(lexicographic)-398(order)-397(\050i.e.:)]TJ 12.73 -11.955 Td [(sort)-316(on)-316(the)-315(real)-316(part)-316(with)-316(ties)-316(br)1(ok)27(en)-316(accordin)1(g)-316(to)-316(the)-316(imaginary)-316(part\051)-315(or)]TJ 0 -11.955 Td [(on)-333(the)-334(absolute)-333(v)56(alues;)]TJ 0 g 0 G - 0 -19.925 Td [(icon)32(txt)]TJ + -12.73 -19.925 Td [(3.)]TJ 0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyin)1(g)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ + [-500(The)-257(routines)-258(retur)1(n)-258(the)-257(items)-257(in)-258(the)-257(c)28(hosen)-257(ordering;)-283(the)-257(output)-257(di\013erence)]TJ 12.73 -11.956 Td [(is)-259(the)-259(handling)-259(of)-259(ties)-259(\050i.e.)-419(items)-259(with)-259(an)-259(equal)-259(v)56(alue\051)-259(in)-259(the)-259(original)-259(input.)]TJ 0 -11.955 Td 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obj +1627 0 obj << -/Length 5248 +/Length 4356 >> stream 0 g 0 G @@ -19903,12 +20101,12 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(amn)-375(|)-375(Global)-375(minim)31(um)-375(absolute)-375(v)63(alue)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(exit)-375(|)-375(Exit)-375(from)-375(PSBLAS)-375(parallel)-375(en)31(vironmen)31(t)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_amn\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-336(s)-1(u)1(broutine)-337(implemen)28(ts)-337(a)-336(minim)28(um)-337(absolute)-336(v)55(alue)-336(reduction)-336(op)-28(eration)]TJ -14.944 -11.955 Td [(based)-333(on)-334(the)-333(underlying)-333(comm)28(unication)-334(library)84(.)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_exit\050icontxt\051)]TJ 0 -11.956 Td [(call)-525(psb_exit\050icontxt,close\051)]TJ/F8 9.9626 Tf 14.944 -21.917 Td 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9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ 0 g 0 G - 139.477 -37.944 Td [(118)]TJ + 89.442 -366.168 Td [(112)]TJ 0 g 0 G ET endstream endobj -1640 0 obj +1638 0 obj << -/Length 5346 +/Length 3020 >> stream 0 g 0 G @@ -20034,14 +20205,21 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(snd)-375(|)-375(Send)-375(data)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(get)]TJ +ET +q +1 0 0 1 143.885 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 147.92 706.129 Td [(rank)-375(|)-375(Get)-375(the)-375(MPI)-375(rank)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_snd\050icontxt,)-525(dat,)-525(dst,)-525(m\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-333(subroutine)-334(sends)-333(a)-333(pac)27(k)28(et)-333(of)-333(data)-334(to)-333(a)-333(destination.)]TJ +/F30 9.9626 Tf -48.025 -18.389 Td [(call)-525(psb_get_rank\050rank,)-525(icontxt,)-525(id\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td 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[(dst)]TJ/F8 9.9626 Tf 13.453 0 Td [(.)]TJ +/F8 9.9626 Tf 27.681 0 Td [(The)-333(MPI)-334(rank)-333(asso)-28(ciated)-333(with)-333(the)-334(PSBLAS)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 230.248 0 Td [(id)]TJ/F8 9.9626 Tf 8.618 0 Td [(.)]TJ -241.64 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ 0 g 0 G - -31.497 -105.147 Td [(119)]TJ + 89.442 -322.333 Td [(113)]TJ 0 g 0 G ET endstream endobj -1645 0 obj +1642 0 obj << -/Length 5364 +/Length 1202 >> stream 0 g 0 G @@ -20091,397 +20260,438 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(rcv)-375(|)-375(Receiv)31(e)-375(data)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_rcv\050icontxt,)-525(dat,)-525(src,)-525(m\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-333(subroutine)-334(receiv)28(es)-333(a)-334(pac)28(k)28(et)-333(of)-334(data)-333(to)-333(a)-334(destination.)]TJ -0 g 0 G -/F27 9.9626 Tf -14.944 -19.926 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous:)-444(s)-1(ee)-333(usage)-333(notes.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(wtime)-375(|)-375(W)94(all)-375(clo)-31(c)31(k)-375(timing)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(icon)32(txt)]TJ -0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(src)]TJ -0 g 0 G -/F8 9.9626 Tf 19.311 0 Td [(Source)-333(pro)-28(cess.)]TJ 5.596 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(sr)-28(c)-277(<)]TJ/F8 9.9626 Tf 24.269 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1.)]TJ -0 g 0 G -/F27 9.9626 Tf -239.302 -31.88 Td [(m)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(time)-525(=)-525(psb_wtime\050\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-474(fun)1(c)-1(ti)1(o)-1(n)-473(returns)-474(a)-473(w)28(all)-474(clo)-28(c)28(k)-474(timer.)-865(The)-474(resolution)-473(of)-474(the)-473(timer)-474(is)]TJ -14.944 -11.955 Td [(dep)-28(enden)28(t)-333(on)-334(th)1(e)-334(underlying)-333(parallel)-333(en)28(vironmen)27(t)-333(implemen)28(tation.)]TJ 0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(Num)28(b)-28(er)-333(of)-334(ro)28(ws.)]TJ 10.378 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf 43.455 0 Td [(.)]TJ -73.066 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(m)-278(<)]TJ/F8 9.9626 Tf 19.263 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.813 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(dat;)]TJ/F8 9.9626 Tf 18.477 0 Td [(1\051.)]TJ -226.384 -11.955 Td [(When)]TJ/F11 9.9626 Tf 29.071 0 Td [(dat)]TJ/F8 9.9626 Tf 17.383 0 Td [(is)-335(a)-334(rank)-335(2)-335(arra)28(y)84(,)-335(sp)-28(eci\014es)-335(the)-335(n)28(um)28(b)-28(er)-334(of)-335(ro)28(ws)-335(to)-335(b)-27(e)-335(sen)28(t)-335(inde-)]TJ -46.454 -11.955 Td [(p)-28(enden)28(tly)-285(of)-285(the)-286(leadin)1(g)-286(dimension)]TJ/F11 9.9626 Tf 153.741 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.813 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(dat;)]TJ/F8 9.9626 Tf 18.477 0 Td [(1\051;)-301(m)27(u)1(s)-1(t)-285(ha)28(v)28(e)-285(the)-286(same)-285(v)55(al)1(ue)]TJ -193.905 -11.955 Td [(on)-333(sending)-334(and)-333(receiving)-333(pro)-28(cesses.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G - 0 -19.926 Td [(dat)]TJ +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(Exit)]TJ 0 g 0 G -/F8 9.9626 Tf 21.371 0 Td [(The)-333(data)-334(to)-333(b)-28(e)-333(receiv)28(ed.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(teg)-1(er,)-341(real)-340(or)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-381(a)-381(rank)-381(1)-381(or)-381(2)-381(arra)28(y)83(,)-393(or)-381(a)-381(c)27(h)1(aracte)-1(r)-381(or)-381(logical)-381(scalar.)-968(T)27(yp)-27(e,)-393(kind)-381(and)]TJ 0 -11.956 Td [(rank)-327(m)27(ust)-327(agree)-328(on)-327(sender)-328(and)-327(receiv)27(er)-327(pro)-28(cess;)-329(if)]TJ/F11 9.9626 Tf 220.724 0 Td [(m)]TJ/F8 9.9626 Tf 12.01 0 Td [(is)-328(not)-327(sp)-28(eci\014ed,)-328(s)-1(ize)]TJ -232.734 -11.955 Td [(m)28(ust)-334(agree)-333(as)-333(w)27(ell.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ + 0 -19.925 Td [(F)96(unction)-384(v)64(alue)]TJ 0 g 0 G - [-500(This)-402(subroutine)-403(implies)-402(a)-402(sync)27(hronization,)-419(but)-403(on)1(ly)-403(b)-28(et)28(w)28(een)-403(th)1(e)-403(calling)]TJ 12.73 -11.955 Td [(pro)-28(cess)-333(and)-333(the)-334(source)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 136.516 0 Td [(sr)-28(c)]TJ/F8 9.9626 Tf 13.753 0 Td [(.)]TJ +/F8 9.9626 Tf 78.386 0 Td [(the)-333(elapsed)-334(time)-333(in)-333(sec)-1(on)1(ds.)]TJ -53.479 -11.955 Td [(Returned)-333(as:)-445(a)]TJ/F30 9.9626 Tf 68.299 0 Td [(real\050psb_dpk_\051)]TJ/F8 9.9626 Tf 76.546 0 Td [(v)56(ariable.)]TJ 0 g 0 G - -10.792 -105.147 Td [(120)]TJ + -5.369 -491.698 Td [(114)]TJ 0 g 0 G ET endstream endobj -1652 0 obj +1646 0 obj << -/Length 6381 +/Length 1484 >> stream 0 g 0 G 0 g 0 G BT -/F16 14.3462 Tf 99.895 706.129 Td [(8)-1125(Error)-375(handling)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-446(PSBLAS)-446(library)-446(error)-446(handling)-446(p)-28(olicy)-446(has)-446(b)-28(een)-446(completely)-446(rewritten)-446(in)]TJ 0 -11.955 Td [(v)28(ersion)-448(2.0.)-788(The)-448(idea)-448(b)-27(ehind)-448(the)-448(design)-448(of)-447(this)-448(new)-448(error)-448(handling)-447(strategy)]TJ 0 -11.955 Td [(is)-491(to)-492(k)28(eep)-491(error)-491(me)-1(ssages)-491(on)-491(a)-492(stac)28(k)-491(allo)28(wing)-492(the)-491(user)-491(to)-491(trace)-492(bac)28(k)-491(up)-492(to)]TJ 0 -11.956 Td [(the)-401(p)-27(oin)27(t)-400(where)-401(the)-400(\014rst)-401(error)-400(me)-1(ssage)-400(has)-401(b)-28(een)-400(generated.)-646(Ev)27(ery)-400(routine)-401(in)]TJ 0 -11.955 Td [(the)-442(PS)1(B)-1(LAS)1(-)-1(2.0)-441(library)-441(has,)-469(as)-442(last)-441(non-optional)-441(argume)-1(n)28(t,)-468(an)-442(in)28(teger)]TJ/F30 9.9626 Tf 322.79 0 Td [(info)]TJ/F8 9.9626 Tf -322.79 -11.955 Td [(v)56(ariable;)-385(whenev)28(er,)-376(inside)-368(the)-367(routine,)-376(an)-368(error)-367(is)-368(detected,)-376(this)-367(v)55(ariable)-367(is)-368(set)]TJ 0 -11.955 Td [(to)-381(a)-380(v)55(alue)-380(corresp)-28(onding)-380(to)-381(a)-380(sp)-28(eci\014c)-381(error)-380(co)-28(de.)-586(Then)-381(this)-380(error)-381(co)-28(de)-380(is)-381(also)]TJ 0 -11.955 Td [(pushed)-245(on)-245(the)-245(error)-245(stac)28(k)-245(and)-245(then)-245(either)-245(con)27(trol)-245(is)-245(return)1(e)-1(d)-245(to)-245(the)-245(caller)-245(routine)]TJ 0 -11.955 Td 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[(c)28(ho)-28(ose)-333(to)-334(handle)-333(the)-333(error)-334(explicitly)84(.)]TJ 14.944 -11.955 Td [(Figure)]TJ -0 0 1 rg 0 0 1 RG - [-479(10)]TJ 0 g 0 G - [-479(rep)-28(orts)-479(a)-479(sample)-480(error)-479(message)-479(generated)-479(b)28(y)-480(the)-479(PSBLAS-2.0)]TJ -14.944 -11.955 Td [(library)83(.)-451(This)-335(error)-336(has)-335(b)-28(een)-336(generated)-335(b)27(y)-335(the)-336(fact)-335(that)-336(the)-335(use)-1(r)-335(has)-336(c)28(hosen)-336(the)]TJ 0 -11.955 Td [(in)28(v)55(alid)-367(\134F)28(OO")-368(storage)-367(format)-368(to)-367(represen)27(t)-367(the)-368(sparse)-367(matrix.)-547(F)83(rom)-367(this)-368(error)]TJ 0 -11.955 Td [(message)-248(it)-248(is)-248(p)-27(oss)-1(ib)1(le)-248(to)-248(see)-248(that)-248(the)-248(error)-247(has)-248(b)-28(een)-248(detected)-248(inside)-248(the)]TJ/F30 9.9626 Tf 301.869 0 Td [(psb_cest)]TJ/F8 9.9626 Tf -301.869 -11.956 Td [(subroutine)-333(called)-334(b)28(y)]TJ/F30 9.9626 Tf 91.408 0 Td [(psb_spasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(...)-444(b)27(y)-333(pro)-28(cess)-333(0)-333(\050i.e.)-445(the)-333(ro)-28(ot)-333(pro)-28(cess\051.)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_barrier\050icontxt\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-398(subroutine)-397(ac)-1(t)1(s)-398(as)-398(an)-398(explicit)-398(sync)28(hronization)-397(p)-28(oin)28(t)-398(for)-398(the)-398(PSBLAS)]TJ -14.944 -11.955 Td [(parallel)-333(virtual)-333(m)-1(ac)28(hine.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ 0 g 0 G - 22.582 -211.304 Td [(121)]TJ +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyin)1(g)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G + 139.477 -455.832 Td [(115)]TJ 0 g 0 G ET endstream endobj -1659 0 obj +1651 0 obj << -/Length 7207 +/Length 1357 >> stream 0 g 0 G 0 g 0 G -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F53 8.9664 Tf 159.61 680.066 Td [(s)-60(u)-60(b)-60(r)-60(o)-59(u)-60(t)-60(i)-60(n)-60(e)]TJ/F46 8.9664 Tf 61.471 0 Td [(p)-132(s)-132(b)]TJ -ET -q -1 0 0 1 239.064 680.265 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q -BT -/F46 8.9664 Tf 243.014 680.066 Td [(f)-132(o)-132(o)-241(\050)-155(s)-47(o)-47(m)-46(e)-769(a)-105(r)-106(g)-105(s)-376(,)-939(i)-156(n)-156(f)-157(o)-265(\051)]TJ -65.126 -10.959 Td [(.)-248(.)-249(.)]TJ/F53 8.9664 Tf -0.604 -10.959 Td [(i)-181(f)]TJ/F46 8.9664 Tf 10.409 0 Td [(\050)-259(e)-152(r)-151(r)-151(o)-151(r)-897(d)-129(e)-129(t)-129(e)-130(c)-129(t)-129(e)-130(d)-237(\051)]TJ/F53 8.9664 Tf 93.291 0 Td [(t)-30(h)-30(e)-29(n)]TJ/F46 8.9664 Tf -87.332 -10.959 Td [(i)-156(n)-157(f)-156(o)-65(=)-38(e)-129(r)-129(r)-128(c)-129(o)-129(d)-129(e)-129(1)]TJ/F53 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ -ET -q -1 0 0 1 238.765 636.429 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q -BT -/F46 8.9664 Tf 242.641 636.23 Td [(e)-124(r)-124(r)-124(p)-123(u)-124(s)-124(h)-232(\050)-330(')-242(p)-132(s)-133(b)]TJ -ET -q -1 0 0 1 310.944 636.429 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q -BT -/F46 8.9664 Tf 314.894 636.23 Td [(f)-132(o)-132(o)-353(')-332(,)-855(e)-129(r)-129(r)-129(c)-129(o)-129(d)-128(e)-129(1)-237(\051)]TJ/F53 8.9664 Tf -122.23 -10.959 Td [(g)-46(o)-47(t)-46(o)]TJ/F46 8.9664 Tf 27.969 0 Td [(9)-82(9)-82(9)-83(9)]TJ/F53 8.9664 Tf -44.989 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F46 8.9664 Tf 2.244 -10.959 Td [(.)-248(.)-249(.)]TJ/F53 8.9664 Tf -0.957 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.399 0 Td [(p)-114(s)-114(b)]TJ -ET -q -1 0 0 1 221.826 592.594 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q -BT -/F46 8.9664 Tf 225.613 592.394 Td [(b)-114(a)-114(r)-223(\050)-155(s)-47(o)-46(m)-47(e)-769(a)-105(r)-105(g)-105(s)-376(,)-939(i)-157(n)-156(f)-157(o)-264(\051)]TJ/F53 8.9664 Tf -48.329 -10.958 Td [(i)-181(f)]TJ/F46 8.9664 Tf 10.409 0 Td [(\050)-265(i)-156(n)-157(f)-156(o)-939(.)]TJ/F53 8.9664 Tf 37.83 0 Td [(n)-11(e)]TJ/F46 8.9664 Tf 12.445 0 Td [(.)-910(z)-127(e)-127(r)-128(o)-236(\051)]TJ/F53 8.9664 Tf 43.016 0 Td [(t)-30(h)-30(e)-29(n)]TJ/F46 8.9664 Tf -87.332 -10.959 Td [(i)-156(n)-157(f)-156(o)-65(=)-38(e)-129(r)-129(r)-128(c)-129(o)-129(d)-129(e)-129(2)]TJ/F53 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ -ET -q -1 0 0 1 238.765 559.717 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q -BT -/F46 8.9664 Tf 242.641 559.518 Td [(e)-124(r)-124(r)-124(p)-123(u)-124(s)-124(h)-232(\050)-330(')-242(p)-132(s)-133(b)]TJ -ET -q -1 0 0 1 310.944 559.717 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q BT -/F46 8.9664 Tf 314.894 559.518 Td [(f)-132(o)-132(o)-353(')-332(,)-855(e)-129(r)-129(r)-129(c)-129(o)-129(d)-128(e)-129(2)-237(\051)]TJ/F53 8.9664 Tf -122.23 -10.959 Td [(g)-46(o)-47(t)-46(o)]TJ/F46 8.9664 Tf 27.969 0 Td [(9)-82(9)-82(9)-83(9)]TJ/F53 8.9664 Tf -44.989 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F46 8.9664 Tf 2.244 -10.959 Td [(.)-248(.)-249(.)]TJ -18.077 -10.959 Td [(9)-82(9)-82(9)-83(9)]TJ/F53 8.9664 Tf 27.419 0 Td [(c)-57(o)-57(n)-57(t)-56(i)-57(n)-57(u)-57(e)]TJ -9.946 -10.959 Td [(i)-181(f)]TJ/F46 8.9664 Tf 15.938 0 Td [(\050)-273(e)-164(r)-165(r)]TJ -ET -q -1 0 0 1 215.536 504.923 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q -BT -/F46 8.9664 Tf 219.774 504.723 Td [(a)-164(c)-165(t)-946(.)]TJ/F53 8.9664 Tf 27.965 0 Td [(e)-22(q)]TJ/F46 8.9664 Tf 12.346 0 Td [(.)-923(a)-141(c)-141(t)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 287.553 504.923 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F46 8.9664 Tf 291.582 504.723 Td [(a)-141(b)-141(o)-141(r)-141(t)-249(\051)]TJ/F53 8.9664 Tf 39.166 0 Td [(t)-30(h)-29(e)-30(n)]TJ -142.758 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.681 0 Td [(p)-146(s)-145(b)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(ab)-31(ort)-375(|)-375(Ab)-31(ort)-375(a)-375(computation)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_abort\050icontxt\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-333(subroutine)-334(ab)-27(orts)-334(computation)-333(on)-333(the)-334(p)1(arallel)-334(virtual)-333(mac)28(hine.)]TJ +0 g 0 G +/F27 9.9626 Tf -14.944 -19.926 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G + 139.476 -467.787 Td [(116)]TJ +0 g 0 G ET -q -1 0 0 1 234.014 493.964 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q + +endstream +endobj +1655 0 obj +<< +/Length 4552 +>> +stream +0 g 0 G +0 g 0 G BT -/F46 8.9664 Tf 238.084 493.764 Td [(e)-146(r)-145(r)-146(o)-145(r)-254(\050)-252(i)-144(c)-143(o)-144(n)-143(t)-143(x)-144(t)-252(\051)]TJ/F53 8.9664 Tf -50.844 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ -10.529 -10.958 Td [(e)-117(l)-117(s)-117(e)]TJ 10.529 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ -11.596 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ -16.588 -21.918 Td [(e)2(n)2(d)-675(s)-60(u)-59(b)-60(r)-60(o)-60(u)-60(t)-60(i)-60(n)-60(e)]TJ/F46 8.9664 Tf 84.142 0 Td [(p)-132(s)-132(b)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 261.181 428.21 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S +1 0 0 1 120.951 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F46 8.9664 Tf 265.131 428.011 Td [(f)-132(o)-132(o)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(b)-31(cast)-375(|)-375(Broadcast)-375(data)]TJ +0 g 0 G 0 g 0 G +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_bcast\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-338(subroutine)-338(impleme)-1(n)28(ts)-338(a)-338(broadcast)-339(op)-27(eration)-338(base)-1(d)-338(on)-338(the)-338(underlying)]TJ -14.944 -11.955 Td [(comm)28(unication)-334(libr)1(ary)83(.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyin)1(g)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.371 0 Td [(On)-333(the)-334(ro)-27(ot)-334(pro)-27(ce)-1(ss,)-333(the)-333(data)-334(to)-333(b)-28(e)-333(broadcast.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(te)-1(ger,)-341(real)-340(or)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-340(ma)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-403(a)-403(rank)-404(1)-403(or)-403(2)-403(arra)28(y)83(,)-421(or)-403(a)-403(c)28(haracter)-404(or)-403(logical)-403(v)56(ariable,)-421(whic)28(h)-403(ma)27(y)-403(b)-28(e)]TJ 0 -11.955 Td [(a)-427(scalar)-426(or)-427(ran)1(k)-427(1)-426(arra)27(y)84(.)-1151(T)28(yp)-28(e,)-450(ki)1(nd,)-450(rank)-427(and)-426(size)-427(m)28(ust)-426(agree)-427(on)-426(all)]TJ 0 -11.955 Td [(pro)-28(cesses.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(ro)-32(ot)]TJ +0 g 0 G +/F8 9.9626 Tf 25.931 0 Td [(Ro)-28(ot)-333(pro)-28(cess)-333(holding)-334(d)1(ata)-334(to)-333(b)-28(e)-333(broadcast.)]TJ -1.024 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.544 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)-334(0)]TJ +0 g 0 G +/F27 9.9626 Tf -243.577 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.926 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.372 0 Td [(On)-333(pro)-28(cesses)-334(oth)1(e)-1(r)-333(than)-333(ro)-28(ot,)-333(the)-333(data)-334(to)-333(b)-28(e)-333(broadcast.)]TJ 3.535 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(te)-1(ger,)-341(real)-340(or)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-340(ma)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-346(a)-346(rank)-347(1)-346(or)-346(2)-346(arra)28(y)83(,)-349(or)-347(a)-346(c)28(haracter)-346(or)-347(l)1(ogic)-1(al)-346(scalar.)-829(T)28(yp)-28(e,)-350(k)1(ind,)-350(rank)]TJ 0 -11.956 Td [(and)-333(size)-334(m)28(ust)-333(agree)-334(on)-333(all)-333(pro)-28(cesses.)]TJ +0 g 0 G + 139.477 -170.9 Td [(117)]TJ 0 g 0 G ET -q -1 0 0 1 150.705 701.884 cm -[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S -Q -q -1 0 0 1 150.904 410.576 cm -[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S -Q -q -1 0 0 1 497.088 410.576 cm -[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S -Q -q -1 0 0 1 150.705 410.576 cm -[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S -Q + +endstream +endobj +1659 0 obj +<< +/Length 5199 +>> +stream +0 g 0 G +0 g 0 G BT -/F8 9.9626 Tf 150.705 382.537 Td [(Figure)-329(9:)-443(The)-329(la)27(y)28(out)-329(of)-330(a)-329(generic)]TJ/F30 9.9626 Tf 147.445 0 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 314.468 382.736 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 317.606 382.537 Td [(foo)]TJ/F8 9.9626 Tf 18.974 0 Td [(routine)-329(with)-330(resp)-28(ect)-329(to)-329(PSBLAS-2.0)]TJ -185.875 -11.955 Td [(error)-333(handling)-333(p)-28(olicy)83(.)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(sum)-375(|)-375(Global)-375(sum)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_sum\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-318(subroutine)-319(impl)1(e)-1(men)28(ts)-318(a)-318(s)-1(u)1(m)-319(reduction)-318(op)-28(eration)-318(based)-318(on)-319(the)-318(under-)]TJ -14.944 -11.955 Td [(lying)-333(comm)27(un)1(ic)-1(ati)1(on)-334(library)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(dat)]TJ 0 g 0 G +/F8 9.9626 Tf 21.371 0 Td [(The)-333(lo)-28(cal)-333(c)-1(on)28(tribution)-333(to)-333(the)-334(gl)1(obal)-334(sum.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(tege)-1(r,)-341(real)-339(or)-340(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-464(a)-464(ran)1(k)-464(1)-464(or)-464(2)-464(arra)28(y)83(.)-1299(T)28(yp)-28(e,)-497(kind)1(,)-497(rank)-464(and)-463(size)-464(m)27(ust)-463(agree)-464(on)-464(all)]TJ 0 -11.955 Td [(pro)-28(cesses.)]TJ 0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(ro)-32(ot)]TJ +0 g 0 G +/F8 9.9626 Tf 25.93 0 Td [(Pro)-28(cess)-310(to)-309(hold)-310(the)-310(\014nal)-310(sum,)-314(or)]TJ/F14 9.9626 Tf 144.053 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-310(to)-310(mak)28(e)-310(it)-309(a)27(v)56(ailable)-310(on)-310(al)1(l)-310(pro)-28(cesses.)]TJ -152.825 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue)]TJ/F14 9.9626 Tf 130.427 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F11 9.9626 Tf 7.749 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.543 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)-334(-1.)]TJ +0 g 0 G +/F27 9.9626 Tf -251.325 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.371 0 Td [(On)-333(destination)-334(pr)1(o)-28(cess\050es)-1(\051,)-333(the)-333(result)-333(of)-334(the)-333(sum)-333(op)-28(eration.)]TJ 3.536 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(tege)-1(r,)-341(real)-339(o)-1(r)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-333(a)-334(rank)-333(1)-333(or)-333(2)-334(arra)28(y)83(.)]TJ 0 -11.955 Td [(T)28(yp)-28(e,)-333(kind,)-333(rank)-334(and)-333(size)-333(m)27(ust)-333(agree)-333(on)-334(all)-333(pro)-28(cesses.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(The)]TJ/F30 9.9626 Tf 32.469 0 Td [(dat)]TJ/F8 9.9626 Tf 18.272 0 Td [(argumen)28(t)-259(is)-259(b)-28(oth)-259(input)-259(and)-259(output,)-274(and)-259(its)-259(v)55(alue)-259(ma)28(y)-259(b)-28(e)-259(c)28(hanged)]TJ -38.011 -11.956 Td [(ev)28(en)-334(on)-333(pro)-28(cesses)-333(di\013eren)28(t)-334(from)-333(the)-333(\014nal)-334(result)-333(destination.)]TJ +0 g 0 G + -12.73 -19.925 Td [(2.)]TJ 0 g 0 G + [-500(The)]TJ/F30 9.9626 Tf 33.208 0 Td [(dat)]TJ/F8 9.9626 Tf 19.012 0 Td [(argumen)28(t)-334(ma)28(y)-333(also)-334(b)-27(e)-334(a)-333(long)-333(in)28(teger)-334(scalar.)]TJ 0 g 0 G + 99.987 -109.132 Td [(118)]TJ 0 g 0 G -/F30 9.9626 Tf 8.368 -39.475 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(df_sample)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(mat)-525(dist)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(mat_distv)]TJ 0 -11.956 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(psb_spasb)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(psb_spasb)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(psb_cest)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\050136\051)-525(in)-525(subroutine:)-525(psb_cest)]TJ 0 -11.956 Td [(Format)-525(FOO)-525(is)-525(unknown)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Aborting...)]TJ ET -q -1 0 0 1 150.705 343.417 cm -[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S -Q -q -1 0 0 1 150.904 165.307 cm -[]0 d 0 J 0.398 w 0 0 m 0 178.111 l S -Q -q -1 0 0 1 497.088 165.307 cm -[]0 d 0 J 0.398 w 0 0 m 0 178.111 l S -Q -q -1 0 0 1 150.705 165.307 cm -[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S -Q + +endstream +endobj +1665 0 obj +<< +/Length 5151 +>> +stream +0 g 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175.796 706.129 Td [(snd)-375(|)-375(Send)-375(data)]TJ 0 g 0 G 0 g 0 G +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_snd\050icontxt,)-525(dat,)-525(dst,)-525(m\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-333(subroutine)-334(sends)-333(a)-333(pac)28(k)27(et)-333(of)-333(data)-334(to)-333(a)-333(destination.)]TJ 0 g 0 G -/F27 9.9626 Tf -49.433 -17.933 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -14.944 -19.926 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous:)-444(s)-1(ee)-333(usage)-333(notes.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(to)-333(b)-28(e)-333(written.)]TJ 14.356 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td 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[(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(ani)1(ngful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +/F8 9.9626 Tf 21.371 0 Td [(The)-333(data)-334(to)-333(b)-28(e)-333(sen)28(t.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(tege)-1(r,)-341(real)-339(or)-340(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td 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[(the)-333(sparse)-334(matrix)-333(read)-333(from)-334(\014le.)]TJ 14.356 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 362.845 452.82 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 365.983 452.621 Td [(Tspmat)]TJ ET -q -1 0 0 1 397.993 452.82 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 401.131 452.621 Td [(type)]TJ + +endstream +endobj +1711 0 obj +<< +/Length 6407 +>> +stream 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.347 -19.925 Td [(iret)]TJ +BT +/F16 14.3462 Tf 150.705 706.129 Td [(8)-1125(Error)-375(handling)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-446(PSBLAS)-446(library)-446(error)-446(handling)-446(p)-28(olicy)-446(has)-446(b)-28(een)-446(completely)-446(rewritten)-446(in)]TJ 0 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[(library)83(.)-451(This)-335(error)-336(has)-335(b)-28(een)-336(generated)-335(b)27(y)-335(the)-336(fact)-335(that)-336(the)-335(use)-1(r)-335(has)-336(c)28(hosen)-336(th)1(e)]TJ 0 -11.955 Td [(in)28(v)55(alid)-367(\134F)28(OO")-368(storage)-367(format)-368(to)-367(represen)27(t)-367(the)-368(sparse)-367(matrix.)-547(F)83(rom)-367(this)-368(error)]TJ 0 -11.955 Td [(message)-248(it)-248(is)-248(p)-27(oss)-1(i)1(ble)-248(to)-248(see)-248(that)-248(the)-248(error)-247(has)-248(b)-28(een)-248(detected)-248(inside)-248(th)1(e)]TJ/F30 9.9626 Tf 301.868 0 Td [(psb_cest)]TJ/F8 9.9626 Tf -301.868 -11.956 Td [(subroutine)-333(called)-334(b)28(y)]TJ/F30 9.9626 Tf 91.407 0 Td [(psb_spasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(...)-444(b)27(y)-333(pro)-28(cess)-333(0)-333(\050i.e.)-445(the)-333(ro)-28(ot)-333(pro)-28(cess\051.)]TJ 0 g 0 G - 139.477 -318.348 Td [(130)]TJ + 22.583 -211.304 Td [(126)]TJ 0 g 0 G ET endstream endobj -1740 0 obj +1717 0 obj << -/Length 3705 +/Length 7220 >> stream 0 g 0 G 0 g 0 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[(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(read.)]TJ -21.606 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)27(h)1(arac)-1(ter)-435(v)56(ariable)-435(con)28(taining)-436(a)-435(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(,)-461(in)]TJ -303.146 -11.956 Td [(whic)28(h)-302(cas)-1(e)-302(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.058 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -96.195 -19.925 Td [(iunit)]TJ -0 g 0 G -/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(un)1(it)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(ani)1(ngful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(b)]TJ -0 g 0 G -/F8 9.9626 Tf 11.347 0 Td [(Rigth)-333(hand)-333(s)-1(i)1(de\050s)-1(\051.)]TJ 13.56 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-310(arra)28(y)-310(of)-310(t)28(yp)-28(e)-310(real)-310(or)-310(complex,)-315(rank)-309(1)-310(or)-310(2)-310(and)-310(ha)28(ving)-310(the)-310(ALLOCA)83(T-)]TJ 0 -11.955 Td [(ABLE)-334(attribute;)-334(will)-333(b)-28(e)-334(allo)-28(cated)-333(and)-334(\014lled)-334(in)-333(if)-334(the)-334(input)-333(\014le)-334(con)28(tains)-334(a)]TJ 0 -11.955 Td 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-10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F46 8.9664 Tf 2.245 -10.959 Td [(.)-248(.)-249(.)]TJ -18.078 -10.959 Td [(9)-82(9)-82(9)-83(9)]TJ/F53 8.9664 Tf 27.419 0 Td [(c)-57(o)-57(n)-57(t)-56(i)-57(n)-57(u)-57(e)]TJ -9.945 -10.959 Td [(i)-181(f)]TJ/F46 8.9664 Tf 15.937 0 Td [(\050)-273(e)-164(r)-165(r)]TJ ET q -1 0 0 1 201.746 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 164.726 504.923 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F16 11.9552 Tf 205.781 706.129 Td [(write)-531(|)-532(W)94(rite)-531(a)-532(sparse)-531(matrix)-532(to)-531(a)-532(\014le)-531(in)-531(the)]TJ -55.076 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.175 0 Td [(m)-67(m)]TJ +/F46 8.9664 Tf 168.965 504.723 Td [(a)-164(c)-165(t)-946(.)]TJ/F53 8.9664 Tf 27.964 0 Td [(e)-22(q)]TJ/F46 8.9664 Tf 12.347 0 Td [(.)-923(a)-141(c)-141(t)]TJ ET q -1 0 0 1 199.787 668.014 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 236.744 504.923 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F8 9.9626 Tf 203.439 667.814 Td [(m)-67(a)-66(t)]TJ +/F46 8.9664 Tf 240.772 504.723 Td [(a)-141(b)-141(o)-141(r)-141(t)-249(\051)]TJ/F53 8.9664 Tf 39.166 0 Td [(t)-30(h)-30(e)-29(n)]TJ -142.758 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.682 0 Td [(p)-146(s)-145(b)]TJ ET q -1 0 0 1 223.186 668.014 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 183.205 493.964 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F8 9.9626 Tf 226.839 667.814 Td [(w)-67(r)-66(i)-67(t)-66(e)-173(\050)-139(a)-227(,)-885(m)-124(t)-123(i)-124(t)-124(l)-123(e)-409(,)-910(i)-150(r)-149(e)-150(t)-460(,)-896(i)-135(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-234(\051)]TJ -0 g 0 G -0 g 0 G -0 g 0 G -/F27 9.9626 Tf -76.134 -17.933 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ -0 g 0 G +/F46 8.9664 Tf 187.274 493.764 Td [(e)-146(r)-145(r)-146(o)-145(r)-254(\050)-252(i)-144(c)-143(o)-144(n)-143(t)-143(x)-144(t)-252(\051)]TJ/F53 8.9664 Tf -50.844 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ -10.529 -10.958 Td [(e)-117(l)-117(s)-117(e)]TJ 10.529 -10.959 Td [(r)-58(e)-58(t)-58(u)-58(r)-58(n)]TJ -11.596 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ -16.587 -21.918 Td [(e)2(n)2(d)-675(s)-59(u)-60(b)-60(r)-60(o)-60(u)-60(t)-60(i)-60(n)-59(e)]TJ/F46 8.9664 Tf 84.141 0 Td [(p)-132(s)-132(b)]TJ +ET +q +1 0 0 1 210.371 428.21 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S +Q +BT +/F46 8.9664 Tf 214.321 428.011 Td [(f)-132(o)-132(o)]TJ 0 g 0 G - 0 -19.925 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(to)-333(b)-28(e)-333(written.)]TJ 14.356 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.914 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 586.32 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 99.895 701.884 cm +[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S +Q +q +1 0 0 1 100.095 410.576 cm +[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S +Q +q +1 0 0 1 446.279 410.576 cm +[]0 d 0 J 0.398 w 0 0 m 0 291.308 l S +Q +q +1 0 0 1 99.895 410.576 cm +[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S Q BT -/F30 9.9626 Tf 365.983 586.121 Td [(Tspmat)]TJ +/F8 9.9626 Tf 99.895 382.537 Td [(Figure)-329(9:)-443(The)-329(la)27(y)28(out)-329(of)-330(a)-329(generic)]TJ/F30 9.9626 Tf 147.445 0 Td [(psb)]TJ ET q -1 0 0 1 397.993 586.32 cm +1 0 0 1 263.659 382.736 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.131 586.121 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -271.347 -19.926 Td [(m)32(title)]TJ -0 g 0 G -/F8 9.9626 Tf 34.737 0 Td [(Matrix)-333(title.)]TJ -9.831 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(A)-299(c)28(harac)28(h)27(t)1(e)-1(r)-298(v)55(ariable)-299(hold)1(ing)-299(a)-299(descriptiv)28(e)-299(title)-299(for)-299(the)-299(matrix)-298(to)-299(b)-28(e)-299(writ-)]TJ 0 -11.955 Td [(ten)-333(to)-334(\014le.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(\014lename)]TJ +/F30 9.9626 Tf 266.797 382.537 Td [(foo)]TJ/F8 9.9626 Tf 18.973 0 Td [(routine)-329(with)-330(resp)-28(ect)-329(to)-330(PS)1(B)-1(LAS)1(-)-1(2.)1(0)]TJ -185.875 -11.955 Td [(error)-333(handling)-333(p)-28(olicy)83(.)]TJ 0 g 0 G -/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(written)-333(to.)]TJ -21.607 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.761 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)27(haracter)-435(v)56(ariable)-435(con)27(tain)1(ing)-436(a)-435(v)56(alid)-435(\014le)-435(name)-1(,)-460(or)]TJ/F30 9.9626 Tf 297.916 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(,)-461(in)]TJ -303.146 -11.955 Td [(whic)28(h)-281(case)-280(the)-281(d)1(e)-1(f)1(ault)-281(output)-280(unit)-280(6)-281(\050i.e.)-427(stand)1(ard)-281(output)-280(in)-280(Unix)-281(jargon\051)]TJ 0 -11.955 Td [(is)-333(used.)-445(Default:)]TJ/F30 9.9626 Tf 76.076 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -106.213 -19.925 Td [(iunit)]TJ 0 g 0 G -/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(u)1(nit)-334(n)28(um)28(b)-28(er.)]TJ -3.626 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.761 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-334(meaningf)1(ul)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.289 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(iret)]TJ +/F30 9.9626 Tf 8.369 -39.475 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(df_sample)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(mat)-525(dist)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(mat_distv)]TJ 0 -11.956 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(psb_spasb)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\0504010\051)-525(in)-525(subroutine:)-525(psb_spasb)]TJ 0 -11.955 Td [(Error)-525(from)-525(call)-525(to)-525(subroutine)-525(psb_cest)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Process:)-525(0.)-1050(PSBLAS)-525(Error)-525(\050136\051)-525(in)-525(subroutine:)-525(psb_cest)]TJ 0 -11.956 Td [(Format)-525(FOO)-525(is)-525(unknown)]TJ 0 -11.955 Td [(==========================================================)]TJ 0 -11.955 Td [(Aborting...)]TJ +ET +q +1 0 0 1 99.895 343.417 cm +[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S +Q +q +1 0 0 1 100.095 165.307 cm +[]0 d 0 J 0.398 w 0 0 m 0 178.111 l S +Q +q +1 0 0 1 446.279 165.307 cm +[]0 d 0 J 0.398 w 0 0 m 0 178.111 l S +Q +q +1 0 0 1 99.895 165.307 cm +[]0 d 0 J 0.398 w 0 0 m 346.583 0 l S +Q +BT +/F8 9.9626 Tf 99.895 137.267 Td [(Figure)-386(10:)-551(A)-386(sample)-386(PSBLAS-2.0)-387(error)-386(message.)-603(Pro)-28(cess)-387(0)-386(detected)-386(an)-387(error)]TJ 0 -11.955 Td [(condition)-333(inside)-334(the)-333(psb)]TJ +ET +q +1 0 0 1 204.658 125.512 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 207.647 125.312 Td [(cest)-333(s)-1(u)1(broutine)]TJ 0 g 0 G -/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(teger)-334(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ 0 g 0 G - 139.476 -262.557 Td [(132)]TJ + 56.632 -34.874 Td [(127)]TJ 0 g 0 G ET endstream endobj -1753 0 obj +1748 0 obj << -/Length 3381 +/Length 3723 >> stream 0 g 0 G 0 g 0 G +0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(mm)]TJ +/F16 14.3462 Tf 150.705 680.226 Td [(psb)]TJ ET q -1 0 0 1 123.118 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 175.972 680.425 cm +[]0 d 0 J 0.398 w 0 0 m 4.842 0 l S Q BT -/F16 11.9552 Tf 127.153 706.129 Td [(arra)31(y)]TJ +/F16 14.3462 Tf 180.814 680.226 Td [(errpush|Pushes)-375(an)-375(error)-375(co)-31(de)-375(on)31(to)-375(the)]TJ -30.109 -17.933 Td [(error)-375(stac)31(k)]TJ/F27 9.9626 Tf 1.377 -35.768 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.711 0 Td [(p)-120(s)-121(b)]TJ ET q -1 0 0 1 158.747 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 200.991 626.724 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 205.18 626.525 Td [(e)-120(r)-121(r)-120(p)-121(u)-120(s)-121(h)-226(\050)-244(e)-138(r)-138(r)]TJ +ET +q +1 0 0 1 270.664 626.724 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 275.03 626.525 Td [(c)-438(,)-825(r)]TJ +ET +q +1 0 0 1 299.951 626.724 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F16 11.9552 Tf 162.782 706.129 Td [(write)-438(|)-438(W)93(rite)-438(a)-438(dense)-438(arra)31(y)-438(from)-438(a)-438(\014le)-439(in)-438(the)]TJ -62.887 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.493 0 Td [(m)-99(m)]TJ +/F8 9.9626 Tf 303.581 626.525 Td [(n)-64(a)-65(m)-64(e)-290(,)-923(i)]TJ ET q -1 0 0 1 149.929 668.014 cm +1 0 0 1 348.584 626.724 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 153.899 667.814 Td [(a)-99(r)-98(r)-98(a)-99(y)]TJ +/F8 9.9626 Tf 353.187 626.525 Td [(e)-162(r)-162(r)-485(,)-914(a)]TJ ET q -1 0 0 1 182.428 668.014 cm +1 0 0 1 392.442 626.724 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 186.398 667.814 Td [(w)-98(r)-99(i)-98(t)-99(e)-204(\050)-120(b)-191(,)-911(i)-149(r)-150(e)-149(t)-461(,)-896(i)-134(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-235(\051)]TJ +/F8 9.9626 Tf 396.945 626.525 Td [(e)-152(r)-152(r)-258(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -86.503 -17.933 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -246.24 -17.933 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(b)]TJ -0 g 0 G -/F8 9.9626 Tf 11.347 0 Td [(Rigth)-333(hand)-333(s)-1(i)1(de\050s)-1(\051.)]TJ 13.56 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(arra)28(y)-334(of)-333(t)28(yp)-28(e)-333(real)-334(or)-333(complex,)-333(rank)-334(1)-333(or)-333(2;)-334(will)-333(b)-28(e)-333(written..)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(\014lename)]TJ + 0 -19.926 Td [(err)]TJ +ET +q +1 0 0 1 166.08 568.941 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 169.517 568.741 Td [(c)]TJ 0 g 0 G -/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(written.)]TJ -21.606 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)27(h)1(arac)-1(ter)-435(v)56(ariable)-435(con)28(taining)-436(a)-435(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(,)-461(in)]TJ -303.146 -11.955 Td [(whic)28(h)-302(cas)-1(e)-302(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.058 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +/F8 9.9626 Tf 10.074 0 Td [(the)-333(error)-334(co)-27(de)]TJ -3.98 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger.)]TJ 0 g 0 G -/F27 9.9626 Tf -96.195 -19.926 Td [(iunit)]TJ +/F27 9.9626 Tf -24.906 -19.926 Td [(r)]TJ +ET +q +1 0 0 1 156.111 501.195 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 159.548 500.995 Td [(name)]TJ 0 g 0 G -/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(un)1(it)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(ani)1(ngful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +/F8 9.9626 Tf 31.714 0 Td [(the)-333(soutine)-334(where)-333(the)-333(error)-334(has)-333(b)-28(een)-333(caugh)28(t.)]TJ -15.651 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(string.)]TJ 0 g 0 G -/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -24.906 -31.881 Td [(i)]TJ +ET +q +1 0 0 1 154.575 421.494 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 158.012 421.294 Td [(err)]TJ 0 g 0 G +/F8 9.9626 Tf 19.669 0 Td [(addional)-333(info)-333(for)-334(error)-333(co)-28(de)]TJ -2.07 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)]TJ 0 g 0 G - 0 -19.925 Td [(iret)]TJ +/F27 9.9626 Tf -24.906 -31.881 Td [(a)]TJ +ET +q +1 0 0 1 156.962 353.748 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 160.399 353.548 Td [(err)]TJ 0 g 0 G -/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td 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[(The)-333(F)83(ortran)-333(\014le)-334(un)1(it)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(ani)1(ngful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(read)-333(from)-334(\014le.)]TJ 14.356 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 312.036 452.82 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 452.621 Td [(Tspmat)]TJ +ET +q +1 0 0 1 347.183 452.82 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 350.322 452.621 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -271.348 -19.925 Td [(iret)]TJ +0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +0 g 0 G + 139.477 -318.348 Td [(135)]TJ +0 g 0 G +ET + +endstream +endobj +1799 0 obj +<< +/Length 3696 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(mm)]TJ +ET +q +1 0 0 1 173.928 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 177.963 706.129 Td [(arra)31(y)]TJ +ET +q +1 0 0 1 209.557 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 213.592 706.129 Td [(read)-504(|)-504(Read)-504(a)-504(dense)-504(ar)1(ra)31(y)-504(from)-504(a)-504(\014le)-504(in)-504(the)]TJ -62.887 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.373 0 Td [(m)-86(m)]TJ +ET +q +1 0 0 1 200.38 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 204.23 667.814 Td [(a)-86(r)-87(r)-86(a)-87(y)]TJ +ET +q +1 0 0 1 232.16 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 236.01 667.814 Td [(r)-86(e)-87(a)-86(d)-192(\050)-121(b)-191(,)-910(i)-150(r)-149(e)-150(t)-460(,)-896(i)-135(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-234(\051)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +/F27 9.9626 Tf -85.305 -17.933 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(\014lename)]TJ +0 g 0 G +/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(read.)]TJ -21.607 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)28(haracte)-1(r)-435(v)56(ariable)-435(con)28(taining)-435(a)-436(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(,)-461(in)]TJ -303.145 -11.956 Td [(whic)28(h)-302(case)-303(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.057 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -96.195 -19.925 Td [(iunit)]TJ +0 g 0 G +/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(u)1(nit)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(an)1(ingful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(b)]TJ +0 g 0 G +/F8 9.9626 Tf 11.346 0 Td [(Rigth)-333(hand)-334(side\050s\051.)]TJ 13.561 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-310(arra)28(y)-310(of)-310(t)28(yp)-28(e)-310(real)-310(or)-310(complex,)-315(ran)1(k)-310(1)-310(or)-310(2)-310(and)-310(ha)28(ving)-310(the)-310(ALLOCA)83(T-)]TJ 0 -11.955 Td [(ABLE)-334(attribute;)-334(will)-333(b)-28(e)-334(allo)-27(c)-1(ated)-333(and)-334(\014lled)-334(in)-333(if)-334(the)-334(input)-333(\014le)-334(con)28(tains)-334(a)]TJ 0 -11.955 Td [(righ)28(t)-333(hand)-334(side,)-333(otherwise)-333(will)-334(b)-27(e)-334(left)-333(in)-333(the)-334(UNALLOCA)84(TED)-334(state.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(iret)]TJ +0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ +0 g 0 G + 139.477 -294.437 Td [(136)]TJ +0 g 0 G +ET + +endstream +endobj +1806 0 obj +<< +/Length 4176 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(mm)]TJ +ET +q +1 0 0 1 123.118 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 127.153 706.129 Td [(mat)]TJ +ET +q +1 0 0 1 150.936 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 154.971 706.129 Td [(write)-531(|)-532(W)94(rite)-532(a)-531(sparse)-531(matrix)-532(to)-531(a)-532(\014le)-531(in)-531(the)]TJ -55.076 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.175 0 Td [(m)-67(m)]TJ +ET +q +1 0 0 1 148.977 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 152.63 667.814 Td [(m)-67(a)-66(t)]TJ +ET +q +1 0 0 1 172.377 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 176.029 667.814 Td [(w)-67(r)-66(i)-67(t)-67(e)-172(\050)-139(a)-227(,)-885(m)-124(t)-123(i)-124(t)-124(l)-123(e)-409(,)-910(i)-150(r)-149(e)-150(t)-460(,)-896(i)-135(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-234(\051)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +/F27 9.9626 Tf -76.134 -17.933 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(to)-333(b)-28(e)-333(written.)]TJ 14.356 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 312.036 586.32 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 586.121 Td [(Tspmat)]TJ +ET +q +1 0 0 1 347.183 586.32 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 350.322 586.121 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -271.348 -19.926 Td [(m)32(title)]TJ +0 g 0 G +/F8 9.9626 Tf 34.738 0 Td [(Matrix)-333(title.)]TJ -9.831 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(A)-299(c)28(harac)28(h)28(ter)-299(v)55(ariable)-299(h)1(olding)-299(a)-299(descriptiv)28(e)-299(title)-299(for)-299(the)-299(matrix)-298(to)-299(b)-28(e)-299(writ-)]TJ 0 -11.955 Td [(ten)-333(to)-334(\014le.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(\014lename)]TJ +0 g 0 G +/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(written)-333(to.)]TJ -21.606 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)27(h)1(arac)-1(ter)-435(v)56(ariable)-435(con)28(taining)-436(a)-435(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(,)-461(in)]TJ -303.146 -11.955 Td [(whic)28(h)-281(case)-280(the)-280(default)-281(output)-280(unit)-280(6)-281(\050i.e.)-426(s)-1(t)1(andard)-281(output)-280(in)-280(Unix)-281(jargon\051)]TJ 0 -11.955 Td [(is)-333(used.)-445(Default:)]TJ/F30 9.9626 Tf 76.076 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -106.213 -19.925 Td [(iunit)]TJ +0 g 0 G +/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(un)1(it)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(ani)1(ngful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(iret)]TJ +0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ +0 g 0 G + 139.477 -262.557 Td [(137)]TJ +0 g 0 G +ET + +endstream +endobj +1812 0 obj << -/Type /Annot -/Subtype /Link -/Border[0 0 0]/H/I/C[1 0 0] -/Rect [168.831 354.046 175.293 366.086] -/A << /S /GoTo /D (Hfootnote.4) >> +/Length 3364 >> -% 1767 0 obj +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(mm)]TJ +ET +q +1 0 0 1 173.928 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 177.963 706.129 Td [(arra)31(y)]TJ +ET +q +1 0 0 1 209.557 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 213.592 706.129 Td [(write)-438(|)-438(W)93(rite)-438(a)-438(dense)-438(arra)31(y)-438(from)-438(a)-438(\014le)-439(in)-438(the)]TJ -62.887 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.492 0 Td [(m)-99(m)]TJ +ET +q +1 0 0 1 200.739 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 204.709 667.814 Td [(a)-98(r)-99(r)-98(a)-99(y)]TJ +ET +q +1 0 0 1 233.237 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 237.207 667.814 Td [(w)-99(r)-98(i)-98(t)-99(e)-204(\050)-120(b)-191(,)-911(i)-149(r)-150(e)-149(t)-461(,)-896(i)-134(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-235(\051)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +/F27 9.9626 Tf -86.502 -17.933 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(b)]TJ +0 g 0 G +/F8 9.9626 Tf 11.346 0 Td [(Rigth)-333(hand)-334(side\050s\051.)]TJ 13.56 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(An)-333(arra)27(y)-333(of)-333(t)28(yp)-28(e)-333(real)-334(or)-333(complex,)-333(rank)-334(1)-333(or)-333(2;)-334(will)-333(b)-28(e)-333(written..)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.926 Td [(\014lename)]TJ +0 g 0 G +/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(written.)]TJ -21.607 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)28(haracte)-1(r)-435(v)56(ariable)-435(con)28(taining)-435(a)-436(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(,)-461(in)]TJ -303.145 -11.955 Td [(whic)28(h)-302(case)-303(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.057 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -96.195 -19.926 Td [(iunit)]TJ +0 g 0 G +/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(u)1(nit)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(an)1(ingful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(iret)]TJ +0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ +0 g 0 G + 139.477 -318.348 Td [(138)]TJ +0 g 0 G +ET + +endstream +endobj +1818 0 obj << -/D [1765 0 R /XYZ 98.895 753.953 null] +/Length 1212 >> -% 521 0 obj +stream +0 g 0 G +0 g 0 G +BT +/F16 14.3462 Tf 99.895 706.129 Td [(10)-1125(Preconditioner)-375(routines)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-310(base)-310(PSBLAS)-310(library)-310(con)28(tains)-310(the)-310(implemen)28(tation)-310(of)-310(t)28(w)27(o)-310(simple)-310(precondi-)]TJ 0 -11.955 Td [(tioning)-333(tec)27(hn)1(iques:)]TJ +0 g 0 G +/F14 9.9626 Tf 14.944 -19.925 Td [(\017)]TJ +0 g 0 G +/F8 9.9626 Tf 9.963 0 Td [(Diagonal)-333(Scaling)]TJ +0 g 0 G +/F14 9.9626 Tf -9.963 -19.926 Td [(\017)]TJ +0 g 0 G +/F8 9.9626 Tf 9.963 0 Td [(Blo)-28(c)28(k)-333(Jacobi)-334(with)-333(ILU\0500\051)-333(factorization)]TJ -24.907 -19.925 Td [(The)-364(supp)-27(orting)-364(data)-364(t)28(yp)-27(e)-364(and)-364(subroutine)-363(in)28(terfaces)-364(are)-364(de\014ned)-363(in)-364(the)-364(mo)-27(dule)]TJ/F30 9.9626 Tf 0 -11.955 Td [(psb_prec_mod)]TJ/F8 9.9626 Tf 62.764 0 Td [(.)-844(The)-466(old)-466(in)27(terfaces)]TJ/F30 9.9626 Tf 96.595 0 Td [(psb_precinit)]TJ/F8 9.9626 Tf 67.41 0 Td [(and)]TJ/F30 9.9626 Tf 20.698 0 Td [(psb_precbld)]TJ/F8 9.9626 Tf 62.18 0 Td [(are)-466(still)]TJ -309.647 -11.955 Td [(supp)-28(orted)-333(for)-333(bac)27(kw)28(ard)-333(compatibilit)28(y)]TJ +0 g 0 G + 164.384 -498.229 Td [(139)]TJ +0 g 0 G +ET + +endstream +endobj +1825 0 obj << -/D [1765 0 R /XYZ 99.895 720.077 null] +/Length 5089 >> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(init)-375(|)-375(Initialize)-375(a)-375(preconditioner)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%init\050icontxt,ptype,)-525(info\051)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(pt)32(yp)-32(e)]TJ +0 g 0 G +/F8 9.9626 Tf 33.465 0 Td [(the)-333(t)28(yp)-28(e)-334(of)-333(preconditioner.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 153.092 0 Td [(global)]TJ/F8 9.9626 Tf -161.65 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(c)28(haracter)-333(string,)-334(see)-333(usage)-334(n)1(ote)-1(s.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(On)-383(Exit)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(prec)]TJ +0 g 0 G +/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.879 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(preconditioner)-333(data)-333(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +ET +q +1 0 0 1 389.467 446.843 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 392.606 446.644 Td [(prec)]TJ +ET +q +1 0 0 1 414.155 446.843 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 417.293 446.644 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -287.509 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Error)-333(co)-28(de:)-444(if)-334(no)-333(error,)-333(0)-334(is)-333(returned.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F8 9.9626 Tf 37.058 0 Td [(Legal)-316(inputs)-315(to)-316(this)-316(subroutine)-315(are)-316(in)28(terpreted)-316(dep)-28(ending)-315(on)-316(the)]TJ/F11 9.9626 Tf 283.15 0 Td [(pty)-36(pe)]TJ/F8 9.9626 Tf -320.208 -11.955 Td [(string)-333(as)-334(follo)28(ws)]TJ +0 0 1 rg 0 0 1 RG +/F7 6.9738 Tf 69.932 3.615 Td [(4)]TJ +0 g 0 G +/F8 9.9626 Tf 4.47 -3.615 Td [(:)]TJ +0 g 0 G +/F27 9.9626 Tf -74.402 -19.925 Td [(NONE)]TJ +0 g 0 G +/F8 9.9626 Tf 39.048 0 Td [(No)-333(preconditioning,)-333(i.e.)-445(the)-333(preconditioner)-333(is)-334(just)-333(a)-333(cop)27(y)-333(op)-28(erator.)]TJ +0 g 0 G +/F27 9.9626 Tf -39.048 -19.926 Td [(DIA)32(G)]TJ +0 g 0 G +/F8 9.9626 Tf 35.464 0 Td [(Diagonal)-441(scaling;)-496(eac)28(h)-442(en)28(try)-441(of)-441(the)-442(input)-441(v)28(ector)-442(is)-441(m)27(ulti)1(plied)-442(b)28(y)-441(the)]TJ -10.557 -11.955 Td [(recipro)-28(cal)-346(of)-346(the)-346(sum)-345(of)-346(the)-346(absolute)-346(v)55(alues)-346(of)-346(th)1(e)-346(c)-1(o)-27(e\016cien)27(ts)-346(in)-345(the)-346(cor-)]TJ 0 -11.955 Td [(resp)-28(onding)-333(ro)28(w)-334(of)-333(matrix)]TJ/F11 9.9626 Tf 113.602 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(;)]TJ +0 g 0 G +/F27 9.9626 Tf -145.981 -19.925 Td [(BJA)32(C)]TJ +0 g 0 G +/F8 9.9626 Tf 35.672 0 Td [(Precondition)-249(b)28(y)-249(a)-249(factorization)-248(of)-249(the)-249(blo)-28(c)28(k-diagonal)-249(of)-249(matrix)]TJ/F11 9.9626 Tf 269.664 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)-266(where)]TJ -287.901 -11.956 Td [(blo)-28(c)28(k)-457(b)-28(oundaries)-457(are)-457(determined)-457(b)28(y)-457(the)-457(data)-457(allo)-28(cation)-457(b)-28(oundaries)-457(for)]TJ 0 -11.955 Td [(eac)28(h)-347(pro)-27(c)-1(ess;)-353(requires)-346(no)-347(comm)28(unication.)-484(Only)-347(the)-346(incomplete)-347(factoriza-)]TJ 0 -11.955 Td [(tion)]TJ/F11 9.9626 Tf 20.478 0 Td [(I)-78(LU)]TJ/F8 9.9626 Tf 19.83 0 Td [(\0500\051)-333(is)-334(curren)28(tly)-333(implemen)28(ted.)]TJ +0 g 0 G +ET +q +1 0 0 1 150.705 129.78 cm +[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S +Q +BT +/F32 5.9776 Tf 161.797 123.138 Td [(4)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(The)-354(string)-354(is)-354(c)-1(a)1(se)-1(-)1(i)-1(nsensitiv)30(e)]TJ +0 g 0 G +0 g 0 G +/F8 9.9626 Tf 149.14 -29.888 Td [(140)]TJ +0 g 0 G +ET endstream endobj -1776 0 obj +1834 0 obj << -/Length 7727 +/Length 7751 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(build)-375(|)-375(Builds)-375(a)-375(preconditioner)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(build)-375(|)-375(Builds)-375(a)-375(preconditioner)]TJ 0 g 0 G 0 g 0 G /F30 9.9626 Tf 0 -19.764 Td [(call)-525(prec%build\050a,)-525(desc_a,)-525(info[,amold,vmold,imold]\051)]TJ @@ -22282,230 +23037,230 @@ BT 0 g 0 G 0 -22.879 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(system)-334(sparse)-333(matrix.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 148.886 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -134.53 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(sparse)-333(matrix)-334(d)1(ata)-334(structure)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(system)-334(sparse)-333(matrix.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 148.886 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -134.53 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(sparse)-333(matrix)-334(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 194.05 0 Td [(psb)]TJ ET q -1 0 0 1 385.981 580.809 cm +1 0 0 1 335.171 580.809 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.119 580.61 Td [(Tspmat)]TJ +/F30 9.9626 Tf 338.309 580.61 Td [(Tspmat)]TJ ET q -1 0 0 1 421.128 580.809 cm +1 0 0 1 370.319 580.809 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 424.267 580.61 Td [(type)]TJ +/F30 9.9626 Tf 373.457 580.61 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -294.483 -22.879 Td [(prec)]TJ +/F27 9.9626 Tf -294.484 -22.879 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(already)-222(initialized)-222(precondtioner)-222(data)-223(structure)]TJ +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(already)-222(initialized)-222(precondtioner)-222(data)-223(structure)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 273.115 0 Td [(psb)]TJ ET q -1 0 0 1 465.045 510.11 cm +1 0 0 1 414.236 510.11 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 468.184 509.91 Td [(prec)]TJ +/F30 9.9626 Tf 417.374 509.91 Td [(prec)]TJ ET q -1 0 0 1 489.733 510.11 cm +1 0 0 1 438.923 510.11 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 492.871 509.91 Td [(type)]TJ +/F30 9.9626 Tf 442.061 509.91 Td [(type)]TJ 0 g 0 G 0 g 0 G /F27 9.9626 Tf -342.166 -34.833 Td [(desc)]TJ ET q -1 0 0 1 172.619 475.276 cm +1 0 0 1 121.81 475.276 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 475.077 Td [(a)]TJ +/F27 9.9626 Tf 125.247 475.077 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(,)-333(target.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(des)-1(crip)1(tor)-334(data)-333(structure)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(desc)-1(ri)1(ptor)-334(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 247.683 0 Td [(psb)]TJ ET q -1 0 0 1 439.613 439.41 cm +1 0 0 1 388.803 439.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 442.751 439.211 Td [(desc)]TJ +/F30 9.9626 Tf 391.942 439.211 Td [(desc)]TJ ET q -1 0 0 1 464.3 439.41 cm +1 0 0 1 413.491 439.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 467.438 439.211 Td [(type)]TJ +/F30 9.9626 Tf 416.629 439.211 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -337.655 -22.879 Td [(amold)]TJ 0 g 0 G -/F8 9.9626 Tf 35.374 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -10.467 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.348 0 Td [(psb)]TJ +/F8 9.9626 Tf 35.374 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -10.467 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ ET q -1 0 0 1 395.279 368.711 cm +1 0 0 1 344.47 368.711 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 398.417 368.512 Td [(T)]TJ +/F30 9.9626 Tf 347.608 368.512 Td [(T)]TJ ET q -1 0 0 1 404.275 368.711 cm +1 0 0 1 353.466 368.711 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 407.413 368.512 Td [(base)]TJ +/F30 9.9626 Tf 356.604 368.512 Td [(base)]TJ ET q -1 0 0 1 428.962 368.711 cm +1 0 0 1 378.153 368.711 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 432.101 368.512 Td [(sparse)]TJ +/F30 9.9626 Tf 381.291 368.512 Td [(sparse)]TJ ET q -1 0 0 1 464.11 368.711 cm +1 0 0 1 413.301 368.711 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 467.248 368.512 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ +/F30 9.9626 Tf 416.439 368.512 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -332.234 -22.879 Td [(vmold)]TJ +/F27 9.9626 Tf -332.235 -22.879 Td [(vmold)]TJ 0 g 0 G -/F8 9.9626 Tf 35.851 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -10.945 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ +/F8 9.9626 Tf 35.852 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -10.945 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ ET q -1 0 0 1 395.279 298.012 cm +1 0 0 1 344.47 298.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 398.417 297.812 Td [(T)]TJ +/F30 9.9626 Tf 347.608 297.812 Td [(T)]TJ ET q -1 0 0 1 404.275 298.012 cm +1 0 0 1 353.466 298.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 407.413 297.812 Td [(base)]TJ +/F30 9.9626 Tf 356.604 297.812 Td [(base)]TJ ET q -1 0 0 1 428.962 298.012 cm +1 0 0 1 378.153 298.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 432.101 297.812 Td [(vect)]TJ +/F30 9.9626 Tf 381.291 297.812 Td [(vect)]TJ ET q -1 0 0 1 453.65 298.012 cm +1 0 0 1 402.84 298.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 456.788 297.812 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F30 9.9626 Tf 405.978 297.812 Td [(type)]TJ/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -327.004 -22.878 Td [(imold)]TJ +/F27 9.9626 Tf -327.005 -22.878 Td [(imold)]TJ 0 g 0 G -/F8 9.9626 Tf 32.987 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(in)27(teger)-333(v)28(ector)-334(storage.)]TJ -8.081 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(ob)-56(ject)-222(of)-222(a)-222(class)-223(deriv)28(ed)-222(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 233.542 0 Td [(psb)]TJ +/F8 9.9626 Tf 32.988 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(in)28(te)-1(ger)-333(v)28(ector)-333(s)-1(t)1(o)-1(r)1(age)-1(.)]TJ -8.081 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(ob)-56(ject)-222(of)-222(a)-222(class)-223(deriv)28(ed)-222(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 233.541 0 Td [(psb)]TJ ET q -1 0 0 1 425.471 227.312 cm +1 0 0 1 374.662 227.312 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 428.61 227.113 Td [(T)]TJ +/F30 9.9626 Tf 377.8 227.113 Td [(T)]TJ ET q -1 0 0 1 434.468 227.312 cm +1 0 0 1 383.658 227.312 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 437.606 227.113 Td [(base)]TJ +/F30 9.9626 Tf 386.796 227.113 Td [(base)]TJ ET q -1 0 0 1 459.155 227.312 cm +1 0 0 1 408.345 227.312 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 462.293 227.113 Td [(vect)]TJ +/F30 9.9626 Tf 411.483 227.113 Td [(vect)]TJ ET q -1 0 0 1 483.842 227.312 cm +1 0 0 1 433.032 227.312 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 486.98 227.113 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F30 9.9626 Tf 436.171 227.113 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -357.196 -24.133 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -357.197 -24.133 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -22.879 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.502 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(precondtioner)-333(data)-333(structure)]TJ +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(precondtioner)-333(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 194.77 0 Td [(psb)]TJ ET q -1 0 0 1 386.7 132.48 cm +1 0 0 1 335.891 132.48 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.838 132.281 Td [(prec)]TJ +/F30 9.9626 Tf 339.029 132.281 Td [(prec)]TJ ET q -1 0 0 1 411.387 132.48 cm +1 0 0 1 360.578 132.48 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 414.525 132.281 Td [(type)]TJ +/F30 9.9626 Tf 363.716 132.281 Td [(type)]TJ 0 g 0 G 0 g 0 G -/F8 9.9626 Tf -99.437 -41.843 Td [(136)]TJ +/F8 9.9626 Tf -99.437 -41.843 Td [(141)]TJ 0 g 0 G ET endstream endobj -1780 0 obj +1838 0 obj << -/Length 1094 +/Length 1097 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ -24.907 -21.918 Td [(The)]TJ/F30 9.9626 Tf 21.638 0 Td [(amold)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 7.536 0 Td [(vmold)]TJ/F8 9.9626 Tf 30.631 0 Td [(and)]TJ/F30 9.9626 Tf 20.531 0 Td [(imold)]TJ/F8 9.9626 Tf 30.631 0 Td [(argumen)28(ts)-450(ma)28(y)-450(b)-27(e)-450(emplo)28(y)27(ed)-449(to)-450(in)28(terface)-450(with)]TJ -137.119 -11.955 Td [(sp)-28(ecial)-333(devices,)-334(suc)28(h)-333(as)-334(GPUs)-333(and)-333(other)-333(ac)-1(celerators.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ -24.906 -21.918 Td [(The)]TJ/F30 9.9626 Tf 21.637 0 Td [(amold)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 7.537 0 Td [(vmold)]TJ/F8 9.9626 Tf 30.631 0 Td [(and)]TJ/F30 9.9626 Tf 20.53 0 Td [(imold)]TJ/F8 9.9626 Tf 30.631 0 Td [(argumen)28(ts)-450(ma)28(y)-450(b)-28(e)-449(emplo)28(y)27(ed)-449(to)-450(in)28(terface)-450(with)]TJ -137.118 -11.955 Td [(sp)-28(ecial)-333(devices,)-334(suc)28(h)-333(as)-334(GP)1(Us)-334(and)-333(other)-333(acc)-1(elerators.)]TJ 0 g 0 G - 164.384 -533.997 Td [(137)]TJ + 164.383 -533.997 Td [(142)]TJ 0 g 0 G ET endstream endobj -1788 0 obj +1846 0 obj << -/Length 5851 +/Length 5847 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(apply)-375(|)-375(Preconditioner)-375(application)-375(routine)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(apply)-375(|)-375(Preconditioner)-375(application)-375(routine)]TJ 0 g 0 G 0 g 0 G /F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%apply\050x,y,desc_a,info,trans,work\051)]TJ 0 -11.956 Td [(call)-525(prec%apply\050x,desc_a,info,trans\051)]TJ @@ -22519,143 +23274,143 @@ BT 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 119.33 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.832 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 119.331 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.832 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.538 0 Td [(psb)]TJ +/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ ET q -1 0 0 1 389.467 578.35 cm +1 0 0 1 338.658 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 392.606 578.15 Td [(prec)]TJ +/F30 9.9626 Tf 341.796 578.15 Td [(prec)]TJ ET q -1 0 0 1 414.155 578.35 cm +1 0 0 1 363.345 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 417.293 578.15 Td [(type)]TJ +/F30 9.9626 Tf 366.483 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.509 -19.925 Td [(x)]TJ +/F27 9.9626 Tf -287.51 -19.925 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(source)-334(v)28(ector.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.851 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -99.972 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(source)-334(v)28(ector.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.851 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -99.972 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.495 0 Td [(psb)]TJ +/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ ET q -1 0 0 1 415.426 522.559 cm +1 0 0 1 364.616 522.559 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 418.564 522.36 Td [(T)]TJ +/F30 9.9626 Tf 367.754 522.36 Td [(T)]TJ ET q -1 0 0 1 424.422 522.559 cm +1 0 0 1 373.612 522.559 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 427.56 522.36 Td [(vect)]TJ +/F30 9.9626 Tf 376.751 522.36 Td [(vect)]TJ ET q -1 0 0 1 449.109 522.559 cm +1 0 0 1 398.3 522.559 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 452.247 522.36 Td [(type)]TJ +/F30 9.9626 Tf 401.438 522.36 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -322.464 -19.926 Td [(desc)]TJ ET q -1 0 0 1 172.619 502.634 cm +1 0 0 1 121.81 502.634 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 502.434 Td [(a)]TJ +/F27 9.9626 Tf 125.247 502.434 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(data)-334(structure)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(data)-334(structure)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 201.08 0 Td [(psb)]TJ ET q -1 0 0 1 393.01 466.768 cm +1 0 0 1 342.2 466.768 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 396.148 466.569 Td [(desc)]TJ +/F30 9.9626 Tf 345.339 466.569 Td [(desc)]TJ ET q -1 0 0 1 417.697 466.768 cm +1 0 0 1 366.887 466.768 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 420.835 466.569 Td [(type)]TJ +/F30 9.9626 Tf 370.026 466.569 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -291.052 -19.925 Td [(trans)]TJ 0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(Scop)-28(e:)]TJ -5.702 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(c)28(haracter.)]TJ +/F8 9.9626 Tf 30.609 0 Td [(Scop)-28(e:)]TJ -5.702 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter.)]TJ 0 g 0 G /F27 9.9626 Tf -24.907 -19.925 Td [(w)32(ork)]TJ 0 g 0 G -/F8 9.9626 Tf 29.431 0 Td [(an)-333(optional)-334(w)28(ork)-333(space)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 135.963 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -140.487 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(double)-333(precision)-333(arra)27(y)84(.)]TJ +/F8 9.9626 Tf 29.432 0 Td [(an)-333(optional)-333(w)27(ork)-333(space)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 135.962 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -140.487 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(double)-333(precision)-333(arra)27(y)84(.)]TJ 0 g 0 G /F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(destination)-334(v)28(ector.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 134.856 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.977 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(destination)-334(v)28(ector.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 134.856 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.977 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.495 0 Td [(psb)]TJ +/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ ET q -1 0 0 1 415.426 277.478 cm +1 0 0 1 364.616 277.478 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 418.564 277.279 Td [(T)]TJ +/F30 9.9626 Tf 367.754 277.279 Td [(T)]TJ ET q -1 0 0 1 424.422 277.478 cm +1 0 0 1 373.612 277.478 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 427.56 277.279 Td [(vect)]TJ +/F30 9.9626 Tf 376.751 277.279 Td [(vect)]TJ ET q -1 0 0 1 449.109 277.478 cm +1 0 0 1 398.3 277.478 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 452.247 277.279 Td [(type)]TJ +/F30 9.9626 Tf 401.438 277.279 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -322.464 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - 139.477 -119.095 Td [(138)]TJ + 139.477 -119.095 Td [(143)]TJ 0 g 0 G ET endstream endobj -1793 0 obj +1851 0 obj << -/Length 2947 +/Length 2936 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(descr)-375(|)-375(Prin)31(ts)-375(a)-375(description)-375(of)-375(curren)31(t)-375(preconditioner)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(descr)-375(|)-375(Prin)31(ts)-375(a)-375(description)-375(of)-375(curren)31(t)-375(preconditioner)]TJ 0 g 0 G 0 g 0 G /F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%descr\050\051)]TJ 0 -11.956 Td [(call)-525(prec%descr\050iout,)-525(root\051)]TJ @@ -22669,49 +23424,49 @@ BT 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 119.331 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.832 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 119.33 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.832 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +/F30 9.9626 Tf 197.538 0 Td [(psb)]TJ ET q -1 0 0 1 338.658 578.35 cm +1 0 0 1 389.467 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 341.796 578.15 Td [(prec)]TJ +/F30 9.9626 Tf 392.606 578.15 Td [(prec)]TJ ET q -1 0 0 1 363.345 578.35 cm +1 0 0 1 414.155 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 366.483 578.15 Td [(type)]TJ +/F30 9.9626 Tf 417.293 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.51 -19.925 Td [(iout)]TJ +/F27 9.9626 Tf -287.509 -19.925 Td [(iout)]TJ 0 g 0 G -/F8 9.9626 Tf 24.713 0 Td [(output)-333(unit.)-445(S)1(c)-1(op)-27(e:)]TJ/F27 9.9626 Tf 89.941 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -89.747 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(n)27(um)28(b)-28(er.)-444(Default:)-444(default)-334(outp)1(ut)-334(unit.)]TJ +/F8 9.9626 Tf 24.713 0 Td [(output)-333(unit.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 89.94 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -89.747 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(n)27(um)28(b)-28(er.)-444(Default:)-444(default)-334(outpu)1(t)-334(unit.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(ro)-32(ot)]TJ +/F27 9.9626 Tf -24.906 -19.926 Td [(ro)-32(ot)]TJ 0 g 0 G -/F8 9.9626 Tf 25.931 0 Td [(Pro)-28(cess)-333(from)-334(wh)1(ic)27(h)-333(to)-333(prin)28(t)-334(Scop)-28(e:)]TJ/F27 9.9626 Tf 157.244 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -158.268 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-478(as:)-733(an)-478(in)28(teger)-478(n)28(um)28(b)-28(er)-478(b)-28(et)28(w)28(een)-478(0)-478(and)]TJ/F11 9.9626 Tf 220.072 0 Td [(np)]TJ/F14 9.9626 Tf 14.166 0 Td [(\000)]TJ/F8 9.9626 Tf 10.923 0 Td [(1,)-514(in)-478(whic)28(h)-478(case)]TJ -245.161 -11.955 Td [(the)-410(sp)-28(eci\014ed)-410(pro)-28(cess)-410(will)-411(pr)1(in)27(t)-410(the)-410(description,)-429(or)]TJ/F14 9.9626 Tf 225 0 Td [(\000)]TJ/F8 9.9626 Tf 7.748 0 Td [(1,)-429(in)-411(whic)28(h)-410(case)-410(all)]TJ -232.748 -11.955 Td [(pro)-28(cesses)-333(will)-334(prin)28(t.)-444(Default:)-444(0.)]TJ +/F8 9.9626 Tf 25.93 0 Td [(Pro)-28(cess)-333(from)-334(whic)28(h)-333(to)-333(prin)28(t)-334(Scop)-28(e:)]TJ/F27 9.9626 Tf 157.244 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -158.268 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-478(as:)-733(an)-478(in)28(teger)-478(n)28(um)27(b)-27(er)-478(b)-28(et)28(w)28(een)-478(0)-478(and)]TJ/F11 9.9626 Tf 220.073 0 Td [(np)]TJ/F14 9.9626 Tf 14.166 0 Td [(\000)]TJ/F8 9.9626 Tf 10.922 0 Td [(1,)-514(in)-478(whic)28(h)-478(case)]TJ -245.161 -11.955 Td [(the)-410(sp)-28(eci\014ed)-410(pro)-28(cess)-410(will)-411(pri)1(n)27(t)-410(the)-410(description,)-429(or)]TJ/F14 9.9626 Tf 225 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1,)-429(in)-411(whic)28(h)-410(case)-410(all)]TJ -232.749 -11.955 Td [(pro)-28(cesses)-333(will)-334(prin)28(t.)-444(Default:)-445(0.)]TJ 0 g 0 G - 139.477 -352.221 Td [(139)]TJ + 139.477 -352.221 Td [(144)]TJ 0 g 0 G ET endstream endobj -1798 0 obj +1855 0 obj << -/Length 987 +/Length 989 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(clone)-375(|)-375(clone)-375(curren)31(t)-375(preconditioner)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(clone)-375(|)-375(clone)-375(curren)31(t)-375(preconditioner)]TJ 0 g 0 G 0 g 0 G /F30 9.9626 Tf 0 -18.389 Td [(call)-1050(prec%clone\050precout,info\051)]TJ @@ -22725,34 +23480,34 @@ BT 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -80.358 -33.873 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -80.359 -33.873 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(precout)]TJ 0 g 0 G -/F8 9.9626 Tf 42.957 0 Td [(A)-333(cop)27(y)-333(of)-333(the)-333(input)-334(ob)-55(ject.)]TJ +/F8 9.9626 Tf 42.957 0 Td [(A)-333(cop)27(y)-333(of)-333(the)-334(in)1(put)-334(ob)-55(ject.)]TJ 0 g 0 G /F27 9.9626 Tf -42.957 -19.926 Td [(info)]TJ 0 g 0 G /F8 9.9626 Tf 23.758 0 Td [(Return)-333(co)-28(de.)]TJ 0 g 0 G - 140.625 -449.854 Td [(140)]TJ + 140.626 -449.854 Td [(145)]TJ 0 g 0 G ET endstream endobj -1804 0 obj +1862 0 obj << -/Length 2725 +/Length 2730 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(free)-375(|)-375(F)94(ree)-375(a)-375(preconditioner)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(free)-375(|)-375(F)94(ree)-375(a)-375(preconditioner)]TJ 0 g 0 G 0 g 0 G /F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%free\050info\051)]TJ @@ -22766,140 +23521,140 @@ BT 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(preconditioner)-333(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 197.537 0 Td [(psb)]TJ ET q -1 0 0 1 338.658 578.35 cm +1 0 0 1 389.467 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 341.796 578.15 Td [(prec)]TJ +/F30 9.9626 Tf 392.606 578.15 Td [(prec)]TJ ET q -1 0 0 1 363.345 578.35 cm +1 0 0 1 414.155 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 366.483 578.15 Td [(type)]TJ +/F30 9.9626 Tf 417.293 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.51 -19.925 Td [(On)-383(Exit)]TJ +/F27 9.9626 Tf -287.509 -19.925 Td [(On)-383(Exit)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.88 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ +/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.879 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(preconditioner)-333(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 197.537 0 Td [(psb)]TJ ET q -1 0 0 1 338.658 502.634 cm +1 0 0 1 389.467 502.634 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 341.796 502.434 Td [(prec)]TJ +/F30 9.9626 Tf 392.606 502.434 Td [(prec)]TJ ET q -1 0 0 1 363.345 502.634 cm +1 0 0 1 414.155 502.634 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 366.483 502.434 Td [(type)]TJ +/F30 9.9626 Tf 417.293 502.434 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.51 -19.925 Td [(info)]TJ +/F27 9.9626 Tf -287.509 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Error)-333(co)-28(de:)-444(if)-334(no)-333(error,)-333(0)-334(is)-333(returned.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F8 9.9626 Tf 37.234 0 Td [(Releases)-334(all)-333(in)28(ternal)-333(storage.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Error)-333(co)-28(de:)-444(if)-334(no)-333(error,)-333(0)-334(is)-333(returned.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F8 9.9626 Tf 37.234 0 Td [(Releases)-334(all)-333(in)28(ternal)-333(storage.)]TJ 0 g 0 G - 127.15 -334.288 Td [(141)]TJ + 127.149 -334.288 Td [(146)]TJ 0 g 0 G ET endstream endobj -1808 0 obj +1866 0 obj << -/Length 608 +/Length 598 >> stream 0 g 0 G 0 g 0 G BT -/F16 14.3462 Tf 150.705 706.129 Td [(11)-1125(Iterativ)31(e)-375(Metho)-31(ds)]TJ/F8 9.9626 Tf 0 -21.821 Td [(In)-519(thi)1(s)-519(c)28(hapter)-519(w)28(e)-519(pro)28(vide)-519(routi)1(nes)-519(for)-519(preconditioners)-518(and)-519(iterativ)28(e)-519(meth-)]TJ 0 -11.955 Td [(o)-28(ds.)-647(The)-401(in)28(terfaces)-401(for)-401(Kr)1(ylo)27(v)-401(sub)1(s)-1(p)1(ac)-1(e)-400(metho)-28(ds)-401(are)-401(a)28(v)55(ailable)-400(in)-401(the)-401(mo)-28(dule)]TJ/F30 9.9626 Tf 0 -11.955 Td [(psb_krylov_mod)]TJ/F8 9.9626 Tf 73.225 0 Td [(.)]TJ +/F16 14.3462 Tf 99.895 706.129 Td [(11)-1125(Iterativ)31(e)-375(Metho)-31(ds)]TJ/F8 9.9626 Tf 0 -21.821 Td [(In)-519(this)-518(c)28(hapter)-519(w)28(e)-519(pro)28(vide)-519(routin)1(e)-1(s)-518(for)-519(preconditioners)-518(and)-519(iterativ)28(e)-519(meth-)]TJ 0 -11.955 Td [(o)-28(ds.)-647(The)-401(in)28(terfaces)-401(for)-401(Kryl)1(o)27(v)-401(subspace)-400(m)-1(etho)-27(ds)-401(are)-401(a)28(v)55(ailable)-400(in)-401(the)-401(mo)-28(dule)]TJ/F30 9.9626 Tf 0 -11.955 Td [(psb_krylov_mod)]TJ/F8 9.9626 Tf 73.225 0 Td [(.)]TJ 0 g 0 G - 91.158 -569.96 Td [(142)]TJ + 91.159 -569.96 Td [(147)]TJ 0 g 0 G ET endstream endobj -1815 0 obj +1873 0 obj << -/Length 8313 +/Length 8299 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 171.761 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(krylo)31(v)-375(|)-375(Krylo)31(v)-375(Metho)-31(ds)-375(Driv)31(er)-375(Routine)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-343(subroutine)-342(is)-343(a)-343(driv)28(er)-343(that)-342(pro)27(vid)1(e)-1(s)-342(a)-343(general)-343(in)28(terface)-343(for)-342(all)-343(the)-343(Krylo)28(v-)]TJ 0 -11.956 Td [(Subspace)-333(family)-334(metho)-27(ds)-334(implemen)28(ted)-333(in)-334(PSBLAS)-333(v)28(ersion)-333(2.)]TJ 14.944 -11.955 Td [(The)-333(stopping)-334(criterion)-333(can)-333(tak)28(e)-334(the)-333(follo)28(wing)-334(v)56(alues:)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(krylo)31(v)-375(|)-375(Krylo)31(v)-375(Metho)-31(ds)-375(Driv)31(er)-375(Routine)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-343(subroutine)-342(is)-343(a)-343(driv)28(er)-343(that)-342(pro)27(vi)1(des)-343(a)-343(general)-343(in)28(terface)-343(for)-342(all)-343(the)-343(Krylo)28(v-)]TJ 0 -11.956 Td [(Subspace)-333(family)-334(metho)-27(ds)-334(implemen)28(ted)-333(in)-334(PSBLAS)-333(v)28(ersion)-333(2.)]TJ 14.944 -11.955 Td [(The)-333(stopping)-334(criterion)-333(can)-333(tak)28(e)-334(the)-333(follo)28(wing)-334(v)56(alues:)]TJ 0 g 0 G /F27 9.9626 Tf -14.944 -19.102 Td [(1)]TJ 0 g 0 G -/F8 9.9626 Tf 10.71 0 Td [(norm)28(wise)-334(bac)28(kw)28(ard)-333(error)-334(in)-333(the)-333(in\014nit)28(y)-334(norm;)-333(the)-333(iteration)-334(i)1(s)-334(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 109.583 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.949 0 Td [(=)]TJ/F14 9.9626 Tf 38.11 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +/F8 9.9626 Tf 10.71 0 Td [(norm)28(wise)-334(bac)28(kw)28(ard)-333(error)-334(in)-333(the)-333(in\014nit)28(y)-334(norm;)-333(the)-333(iteration)-333(is)-334(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 109.582 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.95 0 Td [(=)]TJ/F14 9.9626 Tf 38.11 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ ET q -1 0 0 1 248.849 621.14 cm +1 0 0 1 299.658 621.14 cm []0 d 0 J 0.398 w 0 0 m 70.572 0 l S Q BT -/F8 9.9626 Tf 248.849 611.815 Td [(\050)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(A)]TJ/F14 9.9626 Tf 7.472 0 Td [(kk)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.494 Td [(k)]TJ/F8 9.9626 Tf 7.195 0 Td [(+)]TJ/F14 9.9626 Tf 9.963 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F8 9.9626 Tf 4.981 0 Td [(\051)]TJ/F11 9.9626 Tf 7.837 6.834 Td [(<)-278(eps)]TJ +/F8 9.9626 Tf 299.658 611.815 Td [(\050)]TJ/F14 9.9626 Tf 3.875 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(A)]TJ/F14 9.9626 Tf 7.472 0 Td [(kk)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.494 Td [(k)]TJ/F8 9.9626 Tf 7.196 0 Td [(+)]TJ/F14 9.9626 Tf 9.962 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F8 9.9626 Tf 4.981 0 Td [(\051)]TJ/F11 9.9626 Tf 7.838 6.834 Td [(<)-278(eps)]TJ 0 g 0 G /F27 9.9626 Tf -223.488 -29.952 Td [(2)]TJ 0 g 0 G -/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(in)-333(the)-333(2-)-1(n)1(orm)-1(;)-333(the)-333(iteration)-333(is)-334(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 135.515 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.949 0 Td [(=)]TJ/F14 9.9626 Tf 12.178 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(in)-333(the)-333(2-norm;)-334(the)-333(iteration)-333(is)-334(stopp)-27(ed)-334(when)]TJ/F11 9.9626 Tf 135.514 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.95 0 Td [(=)]TJ/F14 9.9626 Tf 12.178 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ ET q -1 0 0 1 274.781 565.11 cm +1 0 0 1 325.59 565.11 cm []0 d 0 J 0.398 w 0 0 m 18.708 0 l S Q BT -/F14 9.9626 Tf 274.781 555.785 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.432 8.328 Td [(<)-278(eps)]TJ +/F14 9.9626 Tf 325.59 555.785 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.433 8.328 Td [(<)-278(eps)]TJ 0 g 0 G /F27 9.9626 Tf -197.556 -29.952 Td [(3)]TJ 0 g 0 G -/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(reduction)-333(in)-333(the)-334(2-norm;)-333(the)-333(iteration)-334(is)-333(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 133.171 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.949 0 Td [(=)]TJ/F14 9.9626 Tf 14.522 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(reduction)-333(in)-333(the)-334(2-norm;)-333(the)-333(iteration)-334(is)-333(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 133.17 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.949 0 Td [(=)]TJ/F14 9.9626 Tf 14.523 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ ET q -1 0 0 1 272.436 509.08 cm +1 0 0 1 323.246 509.08 cm []0 d 0 J 0.398 w 0 0 m 23.396 0 l S Q BT -/F14 9.9626 Tf 272.436 499.755 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(r)]TJ/F7 6.9738 Tf 4.494 -1.494 Td [(0)]TJ/F14 9.9626 Tf 4.47 1.494 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.432 8.328 Td [(<)-278(eps)]TJ/F8 9.9626 Tf -199.9 -30.505 Td [(The)-443(b)-27(eha)28(viour)-443(is)-442(con)27(troll)1(e)-1(d)-442(b)28(y)-443(the)-442(istop)-442(argumen)27(t)-442(\050see)-443(later\051.)-771(In)-443(the)-442(ab)-28(o)28(v)27(e)]TJ 0 -11.955 Td [(form)28(ulae,)]TJ/F11 9.9626 Tf 43.127 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.856 1.495 Td [(is)-255(the)-255(ten)28(tativ)28(e)-255(solution)-255(and)]TJ/F11 9.9626 Tf 122.117 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F8 9.9626 Tf 6.084 1.495 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(b)]TJ/F14 9.9626 Tf 4.925 0 Td [(\000)]TJ/F11 9.9626 Tf 8.399 0 Td [(Ax)]TJ/F10 6.9738 Tf 13.166 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.856 1.495 Td [(the)-255(corresp)-28(ondin)1(g)-255(residual)]TJ -230.235 -11.956 Td [(at)-333(the)]TJ/F11 9.9626 Tf 29.335 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(-th)-333(iteration.)]TJ/F27 9.9626 Tf -31.39 -17.52 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.763 0 Td [(p)-126(s)-125(b)]TJ +/F14 9.9626 Tf 323.246 499.755 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F7 6.9738 Tf 4.495 -1.494 Td [(0)]TJ/F14 9.9626 Tf 4.469 1.494 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.432 8.328 Td [(<)-278(eps)]TJ/F8 9.9626 Tf -199.9 -30.505 Td [(The)-442(b)-28(eha)28(viour)-443(is)-442(con)27(t)1(rolled)-443(b)28(y)-443(th)1(e)-443(istop)-442(argumen)27(t)-442(\050see)-443(later\051.)-771(In)-443(the)-442(ab)-28(o)28(v)28(e)]TJ 0 -11.955 Td [(form)28(ulae,)]TJ/F11 9.9626 Tf 43.127 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.855 1.495 Td [(is)-255(the)-255(ten)28(tativ)28(e)-255(solution)-255(and)]TJ/F11 9.9626 Tf 122.118 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F8 9.9626 Tf 6.085 1.495 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(b)]TJ/F14 9.9626 Tf 4.925 0 Td [(\000)]TJ/F11 9.9626 Tf 8.399 0 Td [(Ax)]TJ/F10 6.9738 Tf 13.165 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.856 1.495 Td [(the)-255(corresp)-28(onding)-254(residual)]TJ -230.234 -11.956 Td [(at)-333(the)]TJ/F11 9.9626 Tf 29.334 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(-th)-333(iteration.)]TJ/F27 9.9626 Tf -31.39 -17.52 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.763 0 Td [(p)-126(s)-125(b)]TJ ET q -1 0 0 1 150.386 434.852 cm +1 0 0 1 201.196 434.852 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 154.627 434.653 Td [(k)-126(r)-125(y)-126(l)-125(o)-126(v)-231(\050)-146(m)-40(e)-41(t)-40(h)-40(o)-40(d)-242(,)-194(a)-228(,)-255(p)-94(r)-94(e)-94(c)-349(,)-176(b)-191(,)-185(x)-209(,)-243(e)-81(p)-81(s)-323(,)-274(d)-113(e)-112(s)-113(c)]TJ +/F8 9.9626 Tf 205.436 434.653 Td [(k)-126(r)-125(y)-126(l)-125(o)-126(v)-231(\050)-146(m)-40(e)-41(t)-40(h)-40(o)-40(d)-242(,)-194(a)-228(,)-255(p)-94(r)-94(e)-94(c)-349(,)-176(b)-191(,)-185(x)-209(,)-243(e)-81(p)-81(s)-323(,)-274(d)-113(e)-112(s)-113(c)]TJ ET q -1 0 0 1 351.575 434.852 cm +1 0 0 1 402.384 434.852 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 355.686 434.653 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-302(,)-48(&)]TJ -226.788 -11.956 Td [(&)-579(i)-67(t)-67(m)-68(a)-67(x)-296(,)-311(i)-150(t)-149(e)-150(r)-460(,)]TJ/F27 9.9626 Tf 79.244 0 Td [(e)-65(r)-65(r)]TJ/F8 9.9626 Tf 18.889 0 Td [(,)-305(i)-144(t)-144(r)-144(a)-145(c)-144(e)-449(,)-319(i)-158(r)-158(s)-158(t)-477(,)-287(i)-126(s)-126(t)-126(o)-127(p)-413(,)-230(c)-69(o)-69(n)-69(d)-174(\051)]TJ +/F8 9.9626 Tf 406.495 434.653 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-302(,)-48(&)]TJ -226.787 -11.956 Td [(&)-579(i)-67(t)-67(m)-68(a)-67(x)-296(,)-311(i)-150(t)-149(e)-150(r)-460(,)]TJ/F27 9.9626 Tf 79.243 0 Td [(e)-65(r)-65(r)]TJ/F8 9.9626 Tf 18.89 0 Td [(,)-305(i)-144(t)-144(r)-144(a)-144(c)-145(e)-449(,)-319(i)-158(r)-158(s)-158(t)-476(,)-288(i)-126(s)-126(t)-126(o)-127(p)-413(,)-230(c)-69(o)-69(n)-69(d)-174(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -22912,35 +23667,35 @@ BT 0 g 0 G 0 -19.514 Td [(metho)-32(d)]TJ 0 g 0 G -/F8 9.9626 Tf 43.012 0 Td [(a)-235(string)-235(that)-235(de\014nes)-236(th)1(e)-236(iterativ)28(e)-235(metho)-28(d)-235(to)-235(b)-28(e)-235(used.)-412(Supp)-27(orted)-235(v)55(alues)]TJ -18.105 -11.955 Td [(are:)]TJ +/F8 9.9626 Tf 43.012 0 Td [(a)-235(string)-235(that)-235(de\014nes)-235(the)-236(iterativ)28(e)-235(metho)-28(d)-235(to)-235(b)-28(e)-235(used.)-412(Supp)-27(orted)-235(v)55(alues)]TJ -18.106 -11.955 Td [(are:)]TJ 0 g 0 G /F27 9.9626 Tf 0 -19.513 Td [(CG:)]TJ 0 g 0 G -/F8 9.9626 Tf 25.446 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ +/F8 9.9626 Tf 25.447 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ 0 g 0 G -/F27 9.9626 Tf -25.446 -15.529 Td [(CGS:)]TJ +/F27 9.9626 Tf -25.447 -15.529 Td [(CGS:)]TJ 0 g 0 G -/F8 9.9626 Tf 31.811 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ +/F8 9.9626 Tf 31.812 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ 0 g 0 G -/F27 9.9626 Tf -31.811 -15.528 Td [(GCR:)]TJ +/F27 9.9626 Tf -31.812 -15.528 Td [(GCR:)]TJ 0 g 0 G /F8 9.9626 Tf 34.039 0 Td [(the)-333(Generalized)-334(Conjugate)-333(Residual)-333(metho)-28(d;)]TJ 0 g 0 G /F27 9.9626 Tf -34.039 -15.529 Td [(F)32(CG:)]TJ 0 g 0 G -/F8 9.9626 Tf 32.337 0 Td [(the)-333(Flexible)-334(Conjugate)-333(Gradien)28(t)-333(metho)-28(d)]TJ +/F8 9.9626 Tf 32.337 0 Td [(the)-333(Flexible)-334(Conjugate)-333(Gradien)28(t)-333(me)-1(th)1(o)-28(d)]TJ 0 0 1 rg 0 0 1 RG /F7 6.9738 Tf 177.626 3.616 Td [(5)]TJ 0 g 0 G -/F8 9.9626 Tf 4.469 -3.616 Td [(;)]TJ +/F8 9.9626 Tf 4.47 -3.616 Td [(;)]TJ 0 g 0 G -/F27 9.9626 Tf -214.432 -15.528 Td [(BICG:)]TJ +/F27 9.9626 Tf -214.433 -15.528 Td [(BICG:)]TJ 0 g 0 G /F8 9.9626 Tf 37.941 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ 0 g 0 G /F27 9.9626 Tf -37.941 -15.529 Td [(BICGST)96(AB:)]TJ 0 g 0 G -/F8 9.9626 Tf 68.133 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ +/F8 9.9626 Tf 68.133 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(me)-1(th)1(o)-28(d;)]TJ 0 g 0 G /F27 9.9626 Tf -68.133 -15.528 Td [(BICGST)96(ABL:)]TJ 0 g 0 G @@ -22950,919 +23705,950 @@ BT 0 g 0 G /F8 9.9626 Tf 58.807 0 Td [(the)-333(Generalized)-334(Minimal)-333(Residual)-333(metho)-28(d)-333(with)-334(restarting.)]TJ 0 g 0 G -/F27 9.9626 Tf -83.714 -19.513 Td [(a)]TJ +/F27 9.9626 Tf -83.713 -19.513 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 178.968 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -172.084 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 178.969 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -172.085 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 137.958 cm +1 0 0 1 362.845 137.958 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 137.759 Td [(Tspmat)]TJ +/F30 9.9626 Tf 365.983 137.759 Td [(Tspmat)]TJ ET q -1 0 0 1 347.183 137.958 cm +1 0 0 1 397.993 137.958 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.322 137.759 Td [(type)]TJ +/F30 9.9626 Tf 401.131 137.759 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G ET q -1 0 0 1 99.895 129.78 cm +1 0 0 1 150.705 129.78 cm []0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F32 5.9776 Tf 110.987 123.138 Td [(5)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(Note:)-472(the)-355(implemen)30(tation)-354(is)-355(f)1(or)]TJ/F33 7.9701 Tf 120.25 0 Td [(F)-148(C)-70(G)]TJ/F31 7.9701 Tf 19.732 0 Td [(\0501\051.)]TJ +/F32 5.9776 Tf 161.797 123.138 Td [(5)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(Note:)-472(the)-354(i)-1(mplemen)30(tation)-354(is)-354(for)]TJ/F33 7.9701 Tf 120.249 0 Td [(F)-148(C)-70(G)]TJ/F31 7.9701 Tf 19.733 0 Td [(\0501\051.)]TJ 0 g 0 G 0 g 0 G -/F8 9.9626 Tf 9.159 -29.888 Td [(143)]TJ +/F8 9.9626 Tf 9.158 -29.888 Td [(148)]TJ 0 g 0 G ET endstream endobj -1827 0 obj +1885 0 obj << -/Length 7123 +/Length 7119 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 150.705 706.129 Td [(prec)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(The)-333(data)-334(structure)-333(con)28(taining)-333(the)-334(preconditioner.)]TJ -1.502 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 26.408 0 Td [(The)-333(data)-334(structure)-333(con)28(taining)-333(the)-334(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 658.507 cm +1 0 0 1 312.036 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 658.308 Td [(prec)]TJ +/F30 9.9626 Tf 315.174 658.308 Td [(prec)]TJ ET q -1 0 0 1 387.532 658.507 cm +1 0 0 1 336.723 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 658.308 Td [(type)]TJ +/F30 9.9626 Tf 339.861 658.308 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -260.887 -22.202 Td [(b)]TJ 0 g 0 G -/F8 9.9626 Tf 11.346 0 Td [(The)-333(RHS)-334(v)28(ector.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(ar)1(ra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.347 0 Td [(The)-333(RHS)-334(v)28(ector.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 223.496 0 Td [(psb)]TJ ET q -1 0 0 1 415.426 588.484 cm +1 0 0 1 364.616 588.484 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 418.564 588.285 Td [(T)]TJ +/F30 9.9626 Tf 367.754 588.285 Td [(T)]TJ ET q -1 0 0 1 424.422 588.484 cm +1 0 0 1 373.612 588.484 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 427.56 588.285 Td [(vect)]TJ +/F30 9.9626 Tf 376.751 588.285 Td [(vect)]TJ ET q -1 0 0 1 449.109 588.484 cm +1 0 0 1 398.3 588.484 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 452.247 588.285 Td [(type)]TJ +/F30 9.9626 Tf 401.438 588.285 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -322.464 -22.202 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(initial)-334(guess.)]TJ 13.878 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(ar)1(ra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(initial)-334(guess.)]TJ 13.879 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 223.496 0 Td [(psb)]TJ ET q -1 0 0 1 415.426 518.461 cm +1 0 0 1 364.616 518.461 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 418.564 518.262 Td [(T)]TJ +/F30 9.9626 Tf 367.754 518.262 Td [(T)]TJ ET q -1 0 0 1 424.422 518.461 cm +1 0 0 1 373.612 518.461 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 427.56 518.262 Td [(vect)]TJ +/F30 9.9626 Tf 376.751 518.262 Td [(vect)]TJ ET q -1 0 0 1 449.109 518.461 cm +1 0 0 1 398.3 518.461 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 452.247 518.262 Td [(type)]TJ +/F30 9.9626 Tf 401.438 518.262 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -322.464 -22.203 Td [(eps)]TJ 0 g 0 G -/F8 9.9626 Tf 21.116 0 Td [(The)-333(stopping)-334(tolerance.)]TJ 3.79 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(real)-333(n)28(um)27(b)-27(er.)]TJ +/F8 9.9626 Tf 21.117 0 Td [(The)-333(stopping)-334(tolerance.)]TJ 3.79 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(real)-333(n)28(um)27(b)-27(er.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -22.203 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -22.203 Td [(desc)]TJ ET q -1 0 0 1 172.619 426.236 cm +1 0 0 1 121.81 426.236 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 426.036 Td [(a)]TJ +/F27 9.9626 Tf 125.247 426.036 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 378.415 cm +1 0 0 1 312.036 378.415 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 378.216 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 378.216 Td [(desc)]TJ ET q -1 0 0 1 387.532 378.415 cm +1 0 0 1 336.723 378.415 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 378.216 Td [(type)]TJ +/F30 9.9626 Tf 339.861 378.216 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F27 9.9626 Tf -260.887 -22.203 Td [(itmax)]TJ 0 g 0 G -/F8 9.9626 Tf 33.783 0 Td [(The)-333(maxim)27(um)-333(n)28(um)28(b)-28(er)-333(of)-334(iterations)-333(to)-333(p)-28(erform.)]TJ -8.877 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(itmax)]TJ/F8 9.9626 Tf 29.505 0 Td [(=)-278(1000.)]TJ -68.941 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable)]TJ/F11 9.9626 Tf 142.079 0 Td [(itmax)]TJ/F14 9.9626 Tf 29.505 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(1.)]TJ +/F8 9.9626 Tf 33.783 0 Td [(The)-333(maxim)27(um)-333(n)28(um)28(b)-28(er)-333(of)-334(iterations)-333(to)-333(p)-28(erform.)]TJ -8.876 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(itmax)]TJ/F8 9.9626 Tf 29.504 0 Td [(=)-278(1000.)]TJ -68.94 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable)]TJ/F11 9.9626 Tf 142.079 0 Td [(itmax)]TJ/F14 9.9626 Tf 29.504 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(1.)]TJ 0 g 0 G /F27 9.9626 Tf -207.006 -22.202 Td [(itrace)]TJ 0 g 0 G -/F8 9.9626 Tf 33.25 0 Td [(If)]TJ/F11 9.9626 Tf 8.912 0 Td [(>)]TJ/F8 9.9626 Tf 10.516 0 Td [(0)-228(prin)28(t)-228(out)-228(an)-228(i)1(nformational)-228(message)-228(ab)-28(out)-228(con)28(v)28(ergence)-228(ev)27(ery)]TJ/F11 9.9626 Tf 265.015 0 Td [(itr)-28(ace)]TJ/F8 9.9626 Tf -292.787 -11.955 Td [(iterations.)-444(If)-334(=)-278(0)-333(prin)28(t)-333(a)-334(message)-333(in)-333(cas)-1(e)-333(of)-333(con)28(v)27(ergence)-333(failure.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(itr)-28(ace)]TJ/F8 9.9626 Tf 28.785 0 Td [(=)]TJ/F14 9.9626 Tf 10.516 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1.)]TJ +/F8 9.9626 Tf 33.251 0 Td [(If)]TJ/F11 9.9626 Tf 8.911 0 Td [(>)]TJ/F8 9.9626 Tf 10.517 0 Td [(0)-228(prin)28(t)-228(out)-228(an)-227(informational)-228(message)-228(ab)-28(out)-228(con)28(v)28(ergence)-228(ev)28(e)-1(r)1(y)]TJ/F11 9.9626 Tf 265.015 0 Td [(itr)-28(ace)]TJ/F8 9.9626 Tf -292.787 -11.955 Td [(iterations.)-444(If)-334(=)-277(0)-334(prin)28(t)-333(a)-334(message)-333(in)-333(case)-334(of)-333(con)28(v)27(ergence)-333(failure.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(itr)-28(ace)]TJ/F8 9.9626 Tf 28.785 0 Td [(=)]TJ/F14 9.9626 Tf 10.516 0 Td [(\000)]TJ/F8 9.9626 Tf 7.748 0 Td [(1.)]TJ 0 g 0 G /F27 9.9626 Tf -111.392 -34.158 Td [(irst)]TJ 0 g 0 G -/F8 9.9626 Tf 21.857 0 Td [(An)-333(in)28(tege)-1(r)-333(sp)-28(ecifying)-333(the)-333(restart)-334(par)1(a)-1(meter.)]TJ 3.049 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(V)83(alues:)]TJ/F11 9.9626 Tf 37.507 0 Td [(ir)-28(st)-447(>)]TJ/F8 9.9626 Tf 33.134 0 Td [(0.)-750(This)-435(is)-435(emplo)28(y)27(ed)-435(for)-435(the)-435(BiCGST)83(ABL)-435(or)-435(R)28(GMRES)]TJ -70.641 -11.955 Td [(metho)-28(ds,)-333(otherwise)-334(it)-333(is)-333(ignored.)]TJ +/F8 9.9626 Tf 21.857 0 Td [(An)-333(in)28(te)-1(ger)-333(sp)-28(ecifying)-333(the)-333(restart)-334(parameter.)]TJ 3.05 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(V)83(alues:)]TJ/F11 9.9626 Tf 37.506 0 Td [(ir)-28(st)-447(>)]TJ/F8 9.9626 Tf 33.135 0 Td [(0.)-750(This)-435(is)-435(emplo)28(y)28(e)-1(d)-435(for)-435(the)-435(BiCGST)84(AB)-1(L)-435(or)-435(R)28(GMRES)]TJ -70.641 -11.955 Td [(metho)-28(ds,)-333(otherwise)-334(it)-333(is)-333(ignored.)]TJ 0 g 0 G - 139.477 -29.888 Td [(144)]TJ + 139.477 -29.888 Td [(149)]TJ 0 g 0 G ET endstream endobj -1832 0 obj +1781 0 obj << -/Length 4693 +/Type /ObjStm +/N 100 +/First 972 +/Length 10716 >> stream -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F27 9.9626 Tf 99.895 706.129 Td [(istop)]TJ -0 g 0 G -/F8 9.9626 Tf 29.232 0 Td [(An)-333(in)28(te)-1(ger)-333(sp)-28(ecifying)-333(the)-333(stopping)-334(crit)1(e)-1(ri)1(on.)]TJ -4.325 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(V)83(alues:)-478(1:)-479(use)-351(th)1(e)-351(norm)28(wise)-351(bac)28(kw)28(ard)-351(error,)-354(2:)-479(use)-350(the)-351(scaled)-350(2-norm)-351(of)]TJ 0 -11.955 Td [(the)-333(residual,)-334(3:)-444(use)-333(the)-334(residual)-333(reduction)-333(in)-334(th)1(e)-334(2-norm.)-444(Default:)-445(2.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -19.926 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(computed)-334(solution.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ -ET -q -1 0 0 1 364.616 558.881 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 367.754 558.682 Td [(T)]TJ -ET -q -1 0 0 1 373.612 558.881 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 376.751 558.682 Td [(vect)]TJ -ET -q -1 0 0 1 398.3 558.881 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 401.438 558.682 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -322.464 -19.925 Td [(iter)]TJ -0 g 0 G -/F8 9.9626 Tf 22.589 0 Td [(The)-333(n)27(um)28(b)-28(er)-333(of)-333(iterations)-333(p)-28(erformed.)]TJ 2.318 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Returned)-333(as:)-445(an)-333(in)28(teger)-334(v)56(ariable.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(err)]TJ -0 g 0 G -/F8 9.9626 Tf 19.67 0 Td [(The)-333(con)27(v)28(ergence)-333(estimate)-334(on)-333(exit.)]TJ 5.237 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td 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0 means no error has been detected. \end{description} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% +% VECTOR VECTOR OPERATIONS +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\clearpage\subsection*{psb\_gemlt --- Entrywise Product} +\addcontentsline{toc}{subsection}{psb\_gemlt} + +This function computes the entrywise product between two vectors $x$ and +$y$ +\[dot \leftarrow x(i) y(i).\] + +\begin{verbatim} +psb_gemlt(x, y, desc_a, info) +\end{verbatim} +%% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} +\begin{table}[h] + \begin{center} + \begin{tabular}{ll} + \hline + $dot$, $x$, $y$ & {\bf Function}\\ + \hline + Short Precision Real & psb\_gemlt \\ + Long Precision Real & psb\_gemlt \\ + Short Precision Complex & psb\_gemlt \\ + Long Precision Complex & psb\_gemlt \\ + \hline + \end{tabular} + \end{center} + \caption{Data types\label{tab:f90mlt}} +\end{table} + +\begin{description} + \item[Type:] Synchronous. + \item[\bf On Entry] + \item[x] the local portion of global dense vector + $x$.\\ + %% This function computes the location of the first element of + %% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[y] the local portion of global dense vector + $y$. \\ + %% This function computes the location of the first element of + %% local subarray used, based on $iy, jy$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[desc\_a] contains data structures for communications.\\ + Scope: {\bf local} \\ + Type: {\bf required}\\ + Intent: {\bf in}.\\ + Specified as: an object of type \descdata. + \item[\bf On Return] + \item[y] the local portion of result submatrix $y$.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf inout}.\\ + Specified as: an object of type \vdata\ containing numbers of the type + indicated in Table~\ref{tab:f90mlt}. + \item[info] Error code.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf out}.\\ + An integer value; 0 means no error has been detected. +\end{description} + +\clearpage\subsection*{psb\_gediv --- Entrywise Division} +\addcontentsline{toc}{subsection}{psb\_gediv} + +This function computes the entrywise division between two vectors $x$ and +$y$ +\[/ \leftarrow x(i)/y(i).\] +\begin{verbatim} +psb_gediv(x, y, desc_a, info, [flag) +\end{verbatim} +%% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} +\begin{table}[h] + \begin{center} + \begin{tabular}{ll} + \hline + $/$, $x$, $y$ & {\bf Function}\\ + \hline + Short Precision Real & psb\_gediv \\ + Long Precision Real & psb\_gediv \\ + Short Precision Complex & psb\_gediv \\ + Long Precision Complex & psb\_gediv \\ + \hline + \end{tabular} + \end{center} + \caption{Data types\label{tab:f90div}} +\end{table} + +\begin{description} + \item[Type:] Synchronous. + \item[\bf On Entry] + \item[x] the local portion of global dense vector + $x$.\\ + %% This function computes the location of the first element of + %% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[y] the local portion of global dense vector + $y$. \\ + %% This function computes the location of the first element of + %% local subarray used, based on $iy, jy$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[desc\_a] contains data structures for communications.\\ + Scope: {\bf local} \\ + Type: {\bf required}\\ + Intent: {\bf in}.\\ + Specified as: an object of type \descdata. + \item[flag] check if any of the $y(i) = 0$, and in case returns error halting the computation.\\ + Scope: {\bf local} \\ + Type: {\bf optional} + Intent: {\bf in}.\\ + Specified as: the logical value \verb|flag=.true.| + \item[\bf On Return] + \item[x] the local portion of result submatrix $x$.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf inout}.\\ + Specified as: an object of type \vdata\ containing numbers of the type + indicated in Table~\ref{tab:f90mlt}. + \item[info] Error code.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf out}.\\ + An integer value; 0 means no error has been detected. +\end{description} + +\clearpage\subsection*{psb\_geinv --- Entrywise Inversion} +\addcontentsline{toc}{subsection}{psb\_geinv} +This function computes the entrywise inverse of a vector $x$ and puts it into +$y$ +\[/ \leftarrow 1/x(i).\] + +\begin{verbatim} +psb_geinv(x, y, desc_a, info, [flag) +\end{verbatim} +%% \syntax*{psb\_gedot}{x, y, desc\_a, info, jx, jy} +\begin{table}[h] + \begin{center} + \begin{tabular}{ll} + \hline + $/$, $x$, $y$ & {\bf Function}\\ + \hline + Short Precision Real & psb\_geinv \\ + Long Precision Real & psb\_geinv \\ + Short Precision Complex & psb\_geinv \\ + Long Precision Complex & psb\_geinv \\ + \hline + \end{tabular} + \end{center} + \caption{Data types\label{tab:f90inv}} +\end{table} + +\begin{description} + \item[Type:] Synchronous. + \item[\bf On Entry] + \item[x] the local portion of global dense vector + $x$.\\ + %% This function computes the location of the first element of + %% local subarray used, based on $jx$ and the field $matrix\_data$ of $desc\_a$ . \\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf in}.\\ + Specified as: an object of type \vdata\ + containing numbers of type specified in + Table~\ref{tab:f90dot}. + \item[desc\_a] contains data structures for communications.\\ + Scope: {\bf local} \\ + Type: {\bf required}\\ + Intent: {\bf in}.\\ + Specified as: an object of type \descdata. + \item[flag] check if any of the $x(i) = 0$, and in case returns error halting the computation.\\ + Scope: {\bf local} \\ + Type: {\bf optional} + Intent: {\bf in}.\\ + Specified as: the logical value \verb|flag=.true.| + \item[\bf On Return] + \item[y] the local portion of result submatrix $x$.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf out}.\\ + Specified as: an object of type \vdata\ containing numbers of the type + indicated in Table~\ref{tab:f90inv}. + \item[info] Error code.\\ + Scope: {\bf local} \\ + Type: {\bf required} \\ + Intent: {\bf out}.\\ + An integer value; 0 means no error has been detected. +\end{description} %%% Local Variables: %%% mode: latex diff --git a/docs/src/userguide.pdf b/docs/src/userguide.pdf new file mode 120000 index 00000000..7b032aa3 --- /dev/null +++ b/docs/src/userguide.pdf @@ -0,0 +1 @@ +tmp/userguide.pdf \ No newline at end of file