diff --git a/docs/html/index.html b/docs/html/index.html index 2ccf61d9..7174fd18 100644 --- a/docs/html/index.html +++ b/docs/html/index.html @@ -10,16 +10,16 @@ -

PSBLAS

PSBLAS
User’s and Reference Guide
User’s and Reference Guide
A reference guide for the Parallel Sparse BLAS library
A reference guide for the Parallel Sparse BLAS library
Salvatore Filippone
Salvatore Filippone
Alfredo Buttari
Alfredo Buttari
Software version: 3.9.0
Aug 1st, 2024 @@ -52,13 +52,13 @@ href="userhtmlse9.html#x14-1280009" id="QQ2-14-158">Utilities
 10 Preconditioner routines
 11 Iterative Methods +href="userhtmlse11.html#x17-14300011" id="QQ2-17-175">Iterative Methods
 12 Extensions +href="userhtmlse12.html#x19-14600012" id="QQ2-19-178">Extensions
 13 CUDA Environment Routines +href="userhtmlse13.html#x20-15500013" id="QQ2-20-193">CUDA Environment Routines
 References +href="userhtmlli2.html#x21-170000" id="QQ2-21-222">References diff --git a/docs/html/userhtml.css b/docs/html/userhtml.css index 9dc17886..55445be8 100644 --- a/docs/html/userhtml.css +++ b/docs/html/userhtml.css @@ -1,33 +1,69 @@ /* start css.sty */ -.cmr-7{font-size:70%;} -.cmmi-5{font-size:50%;font-style: italic;} -.cmmi-7{font-size:70%;font-style: italic;} -.cmmi-10{font-style: italic;} -.cmsy-7{font-size:70%;} -.cmbx-12x-x-144{font-size:172%; font-weight: bold;} -.cmbx-12x-x-144{ font-weight: bold;} -.cmbx-12x-x-144{ font-weight: bold;} -.cmti-10{ font-style: italic;} -.cmti-12{font-size:120%; font-style: italic;} -.cmbx-10{ font-weight: bold;} -.cmbx-10{ font-weight: bold;} -.cmbx-10{ font-weight: bold;} +.pplb7t-x-x-172{font-size:172%;font-weight: bold;} +.pplb7t-x-x-172{font-weight: bold;} +.pplb7t-x-x-172{font-weight: bold;} +.pplb7t-x-x-172{font-weight: bold;} +.pplri7t-{font-style: italic;} +.pplri7t-{font-style: italic;} +.pplri7t-x-x-120{font-size:120%;font-style: italic;} +.pplri7t-x-x-120{font-style: italic;} +.pplb7t-{font-weight: bold;} +.pplb7t-{font-weight: bold;} +.pplb7t-{font-weight: bold;} +.pplb7t-{font-weight: bold;} .cmtt-10{font-family: monospace,monospace;} .cmtt-10{font-family: monospace,monospace;} .cmtt-10{font-family: monospace,monospace;} -.cmr-9{font-size:90%;} -.cmr-8{font-size:80%;} -.cmbx-12{font-size:120%; font-weight: bold;} -.cmbx-12{ font-weight: bold;} -.cmbx-12{ font-weight: bold;} +.pplr7t-x-x-76{font-size:76%;} +.zplmr7m-{font-style: italic;} +.zplmr7m-{font-style: italic;} +.zplmr7m-{font-style: italic;} +.zplmr7m-{font-style: italic;} +.zplmr7m-{font-style: italic;} +.zplmr7m-x-x-76{font-size:76%;font-style: italic;} +.zplmr7m-x-x-76{font-style: italic;} +.zplmr7m-x-x-76{font-style: italic;} +.zplmr7m-x-x-76{font-style: italic;} +.zplmr7m-x-x-76{font-style: italic;} +.zplmr7m-x-x-60{font-size:60%;font-style: italic;} +.zplmr7m-x-x-60{font-style: italic;} +.zplmr7m-x-x-60{font-style: italic;} +.zplmr7m-x-x-60{font-style: italic;} +.zplmr7m-x-x-60{font-style: italic;} +.zplmr7y-x-x-76{font-size:76%;} +.zplmr7t-x-x-76{font-size:76%;} +.pplr7t-x-x-90{font-size:90%;} +.pplr7t-x-x-80{font-size:80%;} +.pplb7t-x-x-120{font-size:120%;font-weight: bold;} +.pplb7t-x-x-120{font-weight: bold;} +.pplb7t-x-x-120{font-weight: bold;} +.pplb7t-x-x-120{font-weight: bold;} .cmtt-8{font-size:80%;font-family: monospace,monospace;} .cmtt-8{font-family: monospace,monospace;} .cmtt-8{font-family: monospace,monospace;} .cmtt-9{font-size:90%;font-family: monospace,monospace;} .cmtt-9{font-family: monospace,monospace;} .cmtt-9{font-family: monospace,monospace;} -.cmmi-8{font-size:80%;font-style: italic;} +.pplr7t-x-x-70{font-size:70%;} +.zplmr7m-x-x-90{font-size:90%;font-style: italic;} +.zplmr7m-x-x-90{font-style: italic;} +.zplmr7m-x-x-90{font-style: italic;} +.zplmr7m-x-x-90{font-style: italic;} +.zplmr7m-x-x-90{font-style: italic;} +.zplmr7y-x-x-90{font-size:90%;} +.zplmr7m-x-x-80{font-size:80%;font-style: italic;} +.zplmr7m-x-x-80{font-style: italic;} +.zplmr7m-x-x-80{font-style: italic;} +.zplmr7m-x-x-80{font-style: italic;} +.zplmr7m-x-x-80{font-style: italic;} +.zplmr7t-x-x-80{font-size:80%;} +.pplrc7t-x-x-90{font-size:90%;} +.pplb7t-x-x-90{font-size:90%;font-weight: bold;} +.pplb7t-x-x-90{font-weight: bold;} +.pplb7t-x-x-90{font-weight: bold;} +.pplb7t-x-x-90{font-weight: bold;} +.small-caps{font-variant: small-caps; } p{margin-top:0;margin-bottom:0} p.indent{text-indent:0;} p + p{margin-top:1em;} @@ -158,5 +194,17 @@ pre.listings{font-family: monospace,monospace; white-space: pre-wrap; margin-top pre.lstlisting{font-family: monospace,monospace; white-space: pre-wrap; margin-top:0.5em; margin-bottom:0.5em; } pre.lstinputlisting{ font-family: monospace,monospace; white-space: pre-wrap; } .lstinputlisting .label{margin-right:0.5em;} +#TBL-24-1{border-left: 1px solid black;} +#TBL-24-1{border-right:1px solid black;} +#TBL-24-2{border-right:1px solid black;} +#TBL-24-3{border-right:1px solid black;} +#TBL-24-4{border-right:1px solid black;} +#TBL-24-5{border-right:1px solid black;} +#TBL-25-1{border-left: 1px solid black;} +#TBL-25-1{border-right:1px solid black;} +#TBL-25-2{border-right:1px solid black;} +#TBL-25-3{border-right:1px solid black;} +#TBL-25-4{border-right:1px solid black;} +#TBL-25-5{border-right:1px solid black;} /* end css.sty */ diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index 2ccf61d9..7174fd18 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -10,16 +10,16 @@ -

PSBLAS

PSBLAS
User’s and Reference Guide
User’s and Reference Guide
A reference guide for the Parallel Sparse BLAS library
A reference guide for the Parallel Sparse BLAS library
Salvatore Filippone
Salvatore Filippone
Alfredo Buttari
Alfredo Buttari
Software version: 3.9.0
Aug 1st, 2024 @@ -52,13 +52,13 @@ href="userhtmlse9.html#x14-1280009" id="QQ2-14-158">Utilities
 10 Preconditioner routines
 11 Iterative Methods +href="userhtmlse11.html#x17-14300011" id="QQ2-17-175">Iterative Methods
 12 Extensions +href="userhtmlse12.html#x19-14600012" id="QQ2-19-178">Extensions
 13 CUDA Environment Routines +href="userhtmlse13.html#x20-15500013" id="QQ2-20-193">CUDA Environment Routines
 References +href="userhtmlli2.html#x21-170000" id="QQ2-21-222">References diff --git a/docs/html/userhtml10x.png b/docs/html/userhtml10x.png index 5db77543..11f5ee76 100644 Binary files a/docs/html/userhtml10x.png and b/docs/html/userhtml10x.png differ diff --git a/docs/html/userhtml11x.png b/docs/html/userhtml11x.png index e168a574..223013a6 100644 Binary files a/docs/html/userhtml11x.png and b/docs/html/userhtml11x.png differ diff --git a/docs/html/userhtml12x.png b/docs/html/userhtml12x.png index df163814..2729ea64 100644 Binary files a/docs/html/userhtml12x.png and b/docs/html/userhtml12x.png differ diff --git a/docs/html/userhtml13x.png b/docs/html/userhtml13x.png index 108c35cd..cb244f75 100644 Binary files a/docs/html/userhtml13x.png and b/docs/html/userhtml13x.png differ diff --git a/docs/html/userhtml14x.png b/docs/html/userhtml14x.png index 9a0f37dd..9d583958 100644 Binary files a/docs/html/userhtml14x.png and b/docs/html/userhtml14x.png differ diff --git a/docs/html/userhtml15x.png b/docs/html/userhtml15x.png index feaec761..7e4a6663 100644 Binary files a/docs/html/userhtml15x.png and b/docs/html/userhtml15x.png differ diff --git a/docs/html/userhtml16.html b/docs/html/userhtml16.html index 88e57e0e..c7d5d813 100644 --- a/docs/html/userhtml16.html +++ b/docs/html/userhtml16.html @@ -10,10 +10,10 @@ -

-

+

4The string is case-insensitive

- + id="x16-136002x10.1"> 4The string is case-insensitive + diff --git a/docs/html/userhtml16x.png b/docs/html/userhtml16x.png index 3f5b67d7..19ca0c98 100644 Binary files a/docs/html/userhtml16x.png and b/docs/html/userhtml16x.png differ diff --git a/docs/html/userhtml17x.png b/docs/html/userhtml17x.png index 26e4a3a9..99871208 100644 Binary files a/docs/html/userhtml17x.png and b/docs/html/userhtml17x.png differ diff --git a/docs/html/userhtml18.html b/docs/html/userhtml18.html index 245d8cd5..679ab842 100644 --- a/docs/html/userhtml18.html +++ b/docs/html/userhtml18.html @@ -13,8 +13,11 @@

5Note: the implementation is for FCG(1).

+ id="x18-144004x11.1"> 5Note: the implementation is for FCG(1). diff --git a/docs/html/userhtml18x.png b/docs/html/userhtml18x.png index d33d825c..f781e90c 100644 Binary files a/docs/html/userhtml18x.png and b/docs/html/userhtml18x.png differ diff --git a/docs/html/userhtml19x.png b/docs/html/userhtml19x.png index a44a8a1a..92346849 100644 Binary files a/docs/html/userhtml19x.png and b/docs/html/userhtml19x.png differ diff --git a/docs/html/userhtml1x.png b/docs/html/userhtml1x.png index 933f19a7..42bbd7ec 100644 Binary files a/docs/html/userhtml1x.png and b/docs/html/userhtml1x.png differ diff --git a/docs/html/userhtml20x.png b/docs/html/userhtml20x.png index 170b8f17..ed2fd192 100644 Binary files a/docs/html/userhtml20x.png and b/docs/html/userhtml20x.png differ diff --git a/docs/html/userhtml21x.png b/docs/html/userhtml21x.png index 10ebc465..85e9af03 100644 Binary files a/docs/html/userhtml21x.png and b/docs/html/userhtml21x.png differ diff --git a/docs/html/userhtml22x.png b/docs/html/userhtml22x.png index 700fc628..dcf36e0b 100644 Binary files a/docs/html/userhtml22x.png and b/docs/html/userhtml22x.png differ diff --git a/docs/html/userhtml23x.png b/docs/html/userhtml23x.png index eeeb8317..a4a99534 100644 Binary files a/docs/html/userhtml23x.png and b/docs/html/userhtml23x.png differ diff --git a/docs/html/userhtml24x.png b/docs/html/userhtml24x.png index 194d79c7..52e4a38d 100644 Binary files a/docs/html/userhtml24x.png and b/docs/html/userhtml24x.png differ diff --git a/docs/html/userhtml25x.png b/docs/html/userhtml25x.png index 51f10fd7..e1c548ac 100644 Binary files a/docs/html/userhtml25x.png and b/docs/html/userhtml25x.png differ diff --git a/docs/html/userhtml26x.png b/docs/html/userhtml26x.png index 37257ff8..e70146b3 100644 Binary files a/docs/html/userhtml26x.png and b/docs/html/userhtml26x.png differ diff --git a/docs/html/userhtml27x.png b/docs/html/userhtml27x.png index bd9e8f4f..8aee367e 100644 Binary files a/docs/html/userhtml27x.png and b/docs/html/userhtml27x.png differ diff --git a/docs/html/userhtml28x.png b/docs/html/userhtml28x.png index 112718a9..5d26369e 100644 Binary files a/docs/html/userhtml28x.png and b/docs/html/userhtml28x.png differ diff --git a/docs/html/userhtml29x.png b/docs/html/userhtml29x.png index 46a83099..e3d801ea 100644 Binary files a/docs/html/userhtml29x.png and b/docs/html/userhtml29x.png differ diff --git a/docs/html/userhtml2x.png b/docs/html/userhtml2x.png index bc929ca7..4b12ea9e 100644 Binary files a/docs/html/userhtml2x.png and b/docs/html/userhtml2x.png differ diff --git a/docs/html/userhtml30x.png b/docs/html/userhtml30x.png index 276f94cf..bee44974 100644 Binary files a/docs/html/userhtml30x.png and b/docs/html/userhtml30x.png differ diff --git a/docs/html/userhtml31x.png b/docs/html/userhtml31x.png index 55f88e51..0229601d 100644 Binary files a/docs/html/userhtml31x.png and b/docs/html/userhtml31x.png differ diff --git a/docs/html/userhtml32x.png b/docs/html/userhtml32x.png index f1fb77ea..b906670d 100644 Binary files a/docs/html/userhtml32x.png and b/docs/html/userhtml32x.png differ diff --git a/docs/html/userhtml33x.png b/docs/html/userhtml33x.png index 33418638..d8cf193c 100644 Binary files a/docs/html/userhtml33x.png and b/docs/html/userhtml33x.png differ diff --git a/docs/html/userhtml34x.png b/docs/html/userhtml34x.png index 276f94cf..bee44974 100644 Binary files a/docs/html/userhtml34x.png and b/docs/html/userhtml34x.png differ diff --git a/docs/html/userhtml35x.png b/docs/html/userhtml35x.png index 9a85e5fc..6b89f4fe 100644 Binary files a/docs/html/userhtml35x.png and b/docs/html/userhtml35x.png differ diff --git a/docs/html/userhtml36x.png b/docs/html/userhtml36x.png index 2a93b40f..269291b5 100644 Binary files a/docs/html/userhtml36x.png and b/docs/html/userhtml36x.png differ diff --git a/docs/html/userhtml3x.png b/docs/html/userhtml3x.png index 29404472..14357fc6 100644 Binary files a/docs/html/userhtml3x.png and b/docs/html/userhtml3x.png differ diff --git a/docs/html/userhtml4x.png b/docs/html/userhtml4x.png index e17fca31..157b057a 100644 Binary files a/docs/html/userhtml4x.png and b/docs/html/userhtml4x.png differ diff --git a/docs/html/userhtml5.html b/docs/html/userhtml5.html index 8231fcf4..a407f8e2 100644 --- a/docs/html/userhtml5.html +++ b/docs/html/userhtml5.html @@ -10,10 +10,10 @@ -
-

+

1In our prototype implementation we provide sample scatter/gather routines.

- + id="x5-3003x2"> 1In our prototype implementation we provide sample scatter/gather routines. + diff --git a/docs/html/userhtml5x.png b/docs/html/userhtml5x.png index 324d7f45..e94d3514 100644 Binary files a/docs/html/userhtml5x.png and b/docs/html/userhtml5x.png differ diff --git a/docs/html/userhtml6.html b/docs/html/userhtml6.html index d6dbd1dc..6f264aaf 100644 --- a/docs/html/userhtml6.html +++ b/docs/html/userhtml6.html @@ -13,12 +13,12 @@

2This is the normal situation when the pattern of the sparse matrix is symmetric, which is + id="x6-4002x2.1"> 2This is the normal situation when the pattern of the sparse matrix is symmetric, which is equivalent to equivalent to say that the interaction between two variables is reciprocal. If the matrix pattern is +class="pplr7t-x-x-80">say that the interaction between two variables is reciprocal. If the matrix pattern is non-symmetric we may non-symmetric we may have one-way interactions, and these could cause a situation in which a +class="pplr7t-x-x-80">have one-way interactions, and these could cause a situation in which a boundary point is not a halo point boundary point is not a halo point for its neighbour.

+class="pplr7t-x-x-80">for its neighbour. diff --git a/docs/html/userhtml6x.png b/docs/html/userhtml6x.png index 72a36e5d..6f595d91 100644 Binary files a/docs/html/userhtml6x.png and b/docs/html/userhtml6x.png differ diff --git a/docs/html/userhtml7.html b/docs/html/userhtml7.html index 952f6340..d004fb83 100644 --- a/docs/html/userhtml7.html +++ b/docs/html/userhtml7.html @@ -13,14 +13,14 @@

3The subroutine style 3The subroutine style psb_precinit and and psb_precbld are still supported for backward +class="pplr7t-x-x-80">are still supported for backward compatibility

+class="pplr7t-x-x-80">compatibility diff --git a/docs/html/userhtml7x.png b/docs/html/userhtml7x.png index 5db77543..11f5ee76 100644 Binary files a/docs/html/userhtml7x.png and b/docs/html/userhtml7x.png differ diff --git a/docs/html/userhtml8x.png b/docs/html/userhtml8x.png index 221e309e..4a85f66b 100644 Binary files a/docs/html/userhtml8x.png and b/docs/html/userhtml8x.png differ diff --git a/docs/html/userhtml9x.png b/docs/html/userhtml9x.png index 72555397..cdd3f219 100644 Binary files a/docs/html/userhtml9x.png and b/docs/html/userhtml9x.png differ diff --git a/docs/html/userhtmlli1.html b/docs/html/userhtmlli1.html index 40ffe257..1a48b7aa 100644 --- a/docs/html/userhtmlli1.html +++ b/docs/html/userhtmlli1.html @@ -10,7 +10,7 @@ -

[

[next] [tail] [up]

@@ -297,61 +297,63 @@ href="userhtmlse10.html#x15-13500010">Preconditioner routines
  10.1 init — Initialize a preconditioner
  10.2 build — Builds a preconditioner +href="userhtmlse10.html#x15-13700010.2" id="QQ2-15-167">Set — set preconditioner parameters
  10.3 apply — Preconditioner application routine +href="userhtmlse10.html#x15-13800010.3" id="QQ2-15-170">build — Builds a preconditioner
  10.4 descr — Prints a description of current preconditioner +href="userhtmlse10.html#x15-13900010.4" id="QQ2-15-171">apply — Preconditioner application routine
  10.5 clone — clone current preconditioner +href="userhtmlse10.html#x15-14000010.5" id="QQ2-15-172">descr — Prints a description of current preconditioner
  10.6 free — Free a preconditioner +href="userhtmlse10.html#x15-14100010.6" id="QQ2-15-173">clone — clone current preconditioner +
  10.7 free — Free a preconditioner
 11 Iterative Methods +href="userhtmlse11.html#x17-14300011">Iterative Methods
  11.1 psb_krylov — Krylov Methods Driver Routine +href="userhtmlse11.html#x17-14400011.1" id="QQ2-17-176">psb_krylov — Krylov Methods Driver Routine
  11.2 psb_richardson — Richardson Iteration Driver Routine +href="userhtmlse11.html#x17-14500011.2" id="QQ2-17-177">psb_richardson — Richardson Iteration Driver Routine
 12 Extensions +href="userhtmlse12.html#x19-14600012">Extensions
  12.1 Using the extensions +href="userhtmlse12.html#x19-14700012.1" id="QQ2-19-179">Using the extensions
  12.2 Extensions’ Data Structures +href="userhtmlse12.html#x19-14800012.2" id="QQ2-19-180">Extensions’ Data Structures
  12.3 CPU-class extensions +href="userhtmlse12.html#x19-14900012.3" id="QQ2-19-183">CPU-class extensions
  12.4 CUDA-class extensions +href="userhtmlse12.html#x19-15400012.4" id="QQ2-19-192">CUDA-class extensions
 13 CUDA Environment Routines +href="userhtmlse13.html#x20-15500013">CUDA Environment Routines
  psb_cuda_init +href="userhtmlse13.html#Q1-20-195">psb_cuda_init
  psb_cuda_exit +href="userhtmlse13.html#Q1-20-197">psb_cuda_exit
  psb_cuda_DeviceSync +href="userhtmlse13.html#Q1-20-199">psb_cuda_DeviceSync
  psb_cuda_getDeviceCount +href="userhtmlse13.html#Q1-20-201">psb_cuda_getDeviceCount
  psb_cuda_getDevice +href="userhtmlse13.html#Q1-20-203">psb_cuda_getDevice
  psb_cuda_setDevice +href="userhtmlse13.html#Q1-20-205">psb_cuda_setDevice
  psb_cuda_DeviceHasUVA +href="userhtmlse13.html#Q1-20-207">psb_cuda_DeviceHasUVA
  psb_cuda_WarpSize +href="userhtmlse13.html#Q1-20-209">psb_cuda_WarpSize
  psb_cuda_MultiProcessors +href="userhtmlse13.html#Q1-20-211">psb_cuda_MultiProcessors
  psb_cuda_MaxThreadsPerMP +href="userhtmlse13.html#Q1-20-213">psb_cuda_MaxThreadsPerMP
  psb_cuda_MaxRegisterPerBlock +href="userhtmlse13.html#Q1-20-215">psb_cuda_MaxRegisterPerBlock
  psb_cuda_MemoryClockRate +href="userhtmlse13.html#Q1-20-217">psb_cuda_MemoryClockRate
  psb_cuda_MemoryBusWidth +href="userhtmlse13.html#Q1-20-219">psb_cuda_MemoryBusWidth
  psb_cuda_MemoryPeakBandwidth +href="userhtmlse13.html#Q1-20-221">psb_cuda_MemoryPeakBandwidth
diff --git a/docs/html/userhtmlli2.html b/docs/html/userhtmlli2.html index f31a33cf..08bf60fc 100644 --- a/docs/html/userhtmlli2.html +++ b/docs/html/userhtmlli2.html @@ -16,31 +16,31 @@ href="userhtmlse13.html#tailuserhtmlse13.html" >prev-tail] [tail] [up]

References

+ id="x21-170000">References

[1]   G. Bella, S. Filippone, A. De Maio and M. Testa, A Simulation Model +class="pplri7t-">A Simulation Model for Forest Fires, in J. Dongarra, K. Madsen, J. Wasniewski, editors, +class="pplri7t-">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.

[2]   A. Buttari, D. di Serafino, P. D’Ambra, S. Filippone, 2LEV-D2P4: + id="X2007d">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 + Engineering, Communications and Computing, Volume 18, Number 3, + May, 2007, pp. 223-239

[3]   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, + id="X2007c">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.

@@ -57,11 +57,11 @@ class="cmti-10">for Forest Fires, in J. Dongarra, K. M

[6]   J. J. Dongarra and R. C. Whaley, A User’s Guide to the BLACS + id="XBLACS">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 +class="pplri7t-">v. 1.1, Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of Tennessee, March 1995 (updated May 1997). @@ -70,61 +70,59 @@ class="cmti-10"> 1.1, Lapack Working Note 94, Tech. Rep.&#x

[7]   I. Duff, M. Marrone, G. Radicati and C. Vittoli, Level 3 Basic Linear +class="pplri7t-">Level 3 Basic Linear Algebra Subprograms for Sparse Matrices: a User Level Interface, ACM +class="pplri7t-">Algebra Subprograms for Sparse Matrices: a User Level Interface, ACM Transactions on Mathematical Software, 23(3), pp. 379–401, 1997.

[8]   I. Duff, M. Heroux and R. Pozo, An Overview of the Sparse Basic +class="pplri7t-">An Overview of the Sparse Basic Linear Linear Algebra Subprograms: the New Standard from the BLAS Technical - Forum, ACM Transactions on Mathematical Software, 28(2), pp. 239–267, - 2002. +class="pplri7t-">Algebra Subprograms: the New Standard from the BLAS Technical Forum, ACM + Transactions on Mathematical Software, 28(2), pp. 239–267, 2002.

[9]   S. Filippone and M. Colajanni, PSBLAS: A Library for Parallel + id="XPSBLAS">S. Filippone and M. Colajanni, PSBLAS: A Library for Parallel Linear Algebra Computation on Sparse Matrices, ACM Transactions on +class="pplri7t-">Linear Algebra Computation on Sparse Matrices, ACM Transactions on Mathematical Software, 26(4), pp. 527–550, 2000.

[10]   S. Filippone and A. Buttari, Object-Oriented Techniques for Sparse + id="XSparse03">S. Filippone and A. Buttari, Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003, ACM Transactions on Mathematical +class="pplri7t-">Matrix Computations in Fortran 2003, ACM Transactions on Mathematical Software, 38(4), 2012.

[11]   S. Filippone, P. D’Ambra, M. Colajanni, Using a Parallel Library +class="pplri7t-">Using a Parallel Library of of Sparse Linear Algebra in a Fluid Dynamics Applications Code on +class="pplri7t-">Sparse Linear Algebra in a Fluid Dynamics Applications Code on Linux Linux Clusters, in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, +class="pplri7t-">Clusters, in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, Parallel Computing - Advances & Current Issues, pp. 441–448, Imperial College Press, 2002.

[12]    Gamma, E., Helm, R., Johnson, R., and Vlissides, J. 1995. Design + id="XDesignPatterns"> Gamma, E., Helm, R., Johnson, R., and Vlissides, J. 1995. Design Patterns: Elements of Reusable Object-Oriented Software. Addison-Wesley. +class="pplri7t-">Patterns: Elements of Reusable Object-Oriented Software. Addison-Wesley.

[13]   Karypis, G. and Kumar, V., METIS: Unstructured Graph Partitioning + id="XMETIS">Karypis, G. and Kumar, V., METIS: Unstructured Graph Partitioning and Sparse Matrix Ordering System. Minneapolis, MN 55455: University +class="pplri7t-">and Sparse Matrix Ordering System. Minneapolis, MN 55455: University of Minnesota, Department of Computer Science, 1995. Internet Address: http://www.cs.umn.edu/~karypis. @@ -140,54 +138,54 @@ class="cmtt-10">http://www.cs.umn.edu/~karypis.

[15]   Machiels, L. and Deville, M. Fortran 90: An entry to object-oriented + id="Xmachiels">Machiels, L. and Deville, M. Fortran 90: An entry to object-oriented programming for the solution of partial differential equations. ACM Trans. +class="pplri7t-">programming for the solution of partial differential equations. ACM Trans. Math. Softw. vol. 23, 32–49.

[16]   Metcalf, M., Reid, J. and Cohen, M. Fortran 95/2003 explained. Oxford +class="pplri7t-">Fortran 95/2003 explained. Oxford University Press, 2004.

[17]   Metcalf, M., Reid, J. and Cohen, M. Modern Fortran explained. Oxford +class="pplri7t-">Modern Fortran explained. Oxford University Press, 2011.

[18]   Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The + id="XRouXiaXu:11">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. +class="pplri7t-">MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, MIT + Press, 1998.

- [20]    - D. Barbieri, V. Cardellini, S. Filippone and D. Rouson Design Patterns + [20]   D. Barbieri, V. Cardellini, + S. Filippone and D. Rouson Design Patterns for Scientific Computations for Scientific Computations on Sparse Matrices, HPSS 2011, Algorithms - and Programming Tools for Next-Generation High-Performance Scientific - Software, Bordeaux, Sep. 2011 +class="pplri7t-">on Sparse Matrices, HPSS 2011, Algorithms and Programming Tools for + Next-Generation High-Performance Scientific Software, Bordeaux, Sep. + 2011

[21]    Cardellini, V., Filippone, S., and Rouson, D. 2014, Design patterns + id="XCaFiRo:2014"> Cardellini, V., Filippone, S., and Rouson, D. 2014, Design patterns for sparse-matrix computations on hybrid CPU/GPU platforms, Scientific +class="pplri7t-">Scientific Programming 22, 1, 1–19. +class="pplri7t-">Programming 22, 1, 1–19.

[22]   22, 1, 1–19. -

[

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-

diff --git a/docs/html/userhtmlse1.html b/docs/html/userhtmlse1.html index d25c8a9a..3c051ada 100644 --- a/docs/html/userhtmlse1.html +++ b/docs/html/userhtmlse1.html @@ -16,33 +16,34 @@ href="userhtmlli1.html" >prev] [prev-tail] [tail] [up]

-

1 1 Introduction

The PSBLAS library, developed with the aim to facilitate the parallelization of computationally intensive scientific applications, is designed to address parallel -implementation of iterative solvers for sparse linear systems through the distributed -memory paradigm. It includes routines for multiplying sparse matrices by dense -matrices, solving block diagonal systems with triangular diagonal entries, -preprocessing sparse matrices, and contains additional routines for dense matrix -operations. The current implementation of PSBLAS addresses a distributed memory -execution model operating with message passing. +implementation of iterative solvers for sparse linear systems through the +distributed memory paradigm. It includes routines for multiplying sparse +matrices by dense matrices, solving block diagonal systems with triangular +diagonal entries, preprocessing sparse matrices, and contains additional +routines for dense matrix operations. The current implementation of PSBLAS +addresses a distributed memory execution model operating with message +passing.

The PSBLAS library version 3 is implemented in the Fortran 2003 [16] programming language, with reuse and/or adaptation of existing Fortran 77 and Fortran 95 software, plus a handful of C routines. -

The use of Fortran 2003 offers a number of advantages over Fortran 95, 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 [10]; other works discussing advanced programming in Fortran 2003 -include [

The use of Fortran 2003 offers a number of advantages over Fortran 95, 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 [10]; other works discussing advanced programming in +Fortran 2003 include [20, 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). +href="userhtmlli2.html#XRouXiaXu:11">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).

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. [[15]. 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 requirements @@ -56,24 +57,25 @@ BLAS on dense matrices [14, 4, 5]. -

The applicability of sparse iterative solvers to many different areas causes some -terminology problems because the same concept may be denoted through different -names depending on the application area. The PSBLAS features presented in this -document will be discussed referring to a finite difference discretization of a Partial -Differential Equation (PDE). However, the scope of the library is wider than that: for -example, it can be applied to finite element discretizations of PDEs, and even to -different classes of problems such as nonlinear optimization, for example in optimal -control problems. +

The applicability of sparse iterative solvers to many different areas causes +some terminology problems because the same concept may be denoted +through different names depending on the application area. The PSBLAS +features presented in this document will be discussed referring to a finite +difference discretization of a Partial Differential Equation (PDE). However, +the scope of the library is wider than that: for example, it can be applied +to finite element discretizations of PDEs, and even to different classes of +problems such as nonlinear optimization, for example in optimal control +problems.

The design of a solver for sparse linear systems is driven by many conflicting objectives, such as limiting occupation of storage resources, exploiting regularities in the input data, exploiting hardware characteristics of the parallel platform. To achieve an optimal communication to computation ratio on distributed memory -machines it is essential to keep the data locality as high as possible; this can be -done through an appropriate data allocation strategy. The choice of the +machines it is essential to keep the data locality as high as possible; this can +be done through an appropriate data allocation strategy. The choice of the preconditioner is another very important factor that affects efficiency of the implemented application. Optimal data distribution requirements for a given preconditioner may conflict with distribution requirements of the rest of the solver. diff --git a/docs/html/userhtmlse10.html b/docs/html/userhtmlse10.html index e99244c4..0ba3cd87 100644 --- a/docs/html/userhtmlse10.html +++ b/docs/html/userhtmlse10.html @@ -15,7 +15,7 @@ href="userhtmlse9.html" >prev] [prev-tail] [tail] [up]

-

10 10 Preconditioner routines

The base PSBLAS library contains the implementation of two simple preconditioning techniques: @@ -29,12 +29,12 @@ techniques: psb_prec_mod. The old interfaces psb_precinit and psb_precbld are still -supported for backward compatibility +class="cmtt-10">psb_precbld are still supported +for backward compatibility -

10.1 10.1 init — Initialize a preconditioner

@@ -47,57 +47,57 @@ call prec%init(icontxt,ptype, info)

Type:

Type:

Asynchronous.

On Entry

On Entry

icontxt

icontxt

the communication context.
Scope:global.
global.
Type:required.
required.
Intent: in.
in.
Specified as: an integer value.

ptype

ptype

the type of preconditioner. Scope: global
global
Type: required
required
Intent: in.
in.
Specified as: a character string, see usage notes.

On Exit

On Exit

prec

prec

Scope: local
local
Type: required
required
Intent: inout.
inout.
Specified as: a preconditioner data structure psb_type.

info

info

Scope: global
global
Type: required
required
Intent: out.
out.
Error code: if no error, 0 is returned.

Notes Legal inputs to this subroutine are interpreted depending on the ptype string as +class="pplb7t-x-x-120">Notes Legal inputs to this subroutine are interpreted depending on the ptype string as follows4 :

NONE

NONE

No preconditioning, i.e. the preconditioner is just a copy operator.

DIAG

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; +class="zplmr7m-">A;

BJAC

BJAC

Precondition by a factorization of the block-diagonal of matrix A, where +class="zplmr7m-">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.

+class="zplmr7m-">ILU(0) is currently implemented. -

10.2 build — Builds a preconditioner

+

10.2 Set — set preconditioner parameters

+
+

+

call p%set(what,val,info)

+

This method sets the parameters defining the subdomain solver when the +preconditioner type is BJAC. More precisely, the parameter identified by what is +assigned the value contained in val. +

Arguments +

+ + + + +

what

character(len=*).

The parameter to be set. It can be specified through its name; the string is +case-insensitive. See Tables ??-22.

val

integer or character(len=*) or real(psb_spk_) or real(psb_dpk_), +intent(in).

The value of the parameter to be set. The list of allowed values and the +corresponding data types is given in Tables ??-22. When the value is of type +character(len=*), it is also treated as case insensitive.

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section ?? for details.

+

A number of subdomain solvers can be chosen with this method; a list of the +parameters that can be set, along with their allowed and default values, is given in +Tables ??-22.
+

+ + + +

+ + + +
+

+

+

what

data type

val

default

comments

’SUB_SOLVE’

character(len=*)

’ILU’ +

’ILUT’ +

’INVT’ +

’INVK’ +

’AINV’

The local solver to be used with the smoother +or one-level preconditioner ILU(p), ILU(p, t), +Approximate Inverses +INVK(p, q), INVT(p1, p2, t1, t2) and AINV(t); +note that approximate inverses are specifically +suited for GPUs since they do not employ +triangular system solve kernels, see [?].

+
Table 21: Parameters defining the solver or the details of the one-level +preconditioner.
+ + + +
+
+
+ + + +

+ + + +
+

+

+ +

what

data type

val

default

comments

’SUB_FILLIN’

integer

Any integer +

number ≥ 0

0

Fill-in level p of the incomplete LU +factorizations.

’SUB_ILUTHRS’

real(kind_parameter)

Any real +number ≥ 0

0

Drop tolerance t in the ILU(p, t) factorization.

+
Table 22: Parameters defining the smoother or the details of the one-level +preconditioner (continued).
+ + + +
+
+ + + +

10.3 build — Builds a preconditioner

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

-

+

+

-

+

Type:

Type:
-

Synchronous. +

Synchronous.

-

+

On Entry

On Entry
-

+

-

+

a

a
-

the system sparse matrix. Scope: local

the system sparse matrix. Scope: local
Type: required
required
Intent: in, target.
in, target.
Specified as: a sparse matrix data structure psb_Tspmat_type.

-

+

prec

prec
-

the preconditioner.

the preconditioner.
Scope: local
local
Type: required
required
Intent: inout.
inout.
Specified as: an already initialized precondtioner data structure _prec_type

-

+

desc_a

desc_a
-

the problem communication descriptor. Scope: local

the problem communication descriptor. Scope: local
Type: required
required
Intent: in, target.
in, target.
Specified as: a communication descriptor data structure psb_desc_type.

-

+

amold

amold
-

The desired dynamic type for the internal matrix storage.

The desired dynamic type for the internal matrix storage.
Scope: local.
local.
Type: optional.
optional.
Intent: in.
in.
Specified as: an object of a class derived from psb_base_sparse_mat.

-

+

vmold

vmold
-

The desired dynamic type for the internal vector storage.

The desired dynamic type for the internal vector storage.
Scope: local.
local.
Type: optional.
optional.
Intent: in.
in.
Specified as: an object of a class derived from psb_base_vect_type.

-

+

imold

imold
-

The desired dynamic type for the internal integer vector storage.

The desired dynamic type for the internal integer vector storage.
Scope: local.
local.
Type: optional.
optional.
Intent: in.
Specified as: an object of a class derived from (integer) +class="pplb7t-">in.
Specified as: an object of a class derived from (integer) psb_T_base_vect_type.

-

+

-

+

On Return

On Return
-

+

-

+

prec

prec
-

the preconditioner.

the preconditioner.
Scope: local
local
Type: required
required
Intent: inout.
inout.
Specified as: a precondtioner data structure psb_prec_type

-

+

info

info
-

Error code.

Error code.
Scope: local
local
Type: required
required
Intent: out.
out.
An integer value; 0 means no error has been detected.

-

The

The amold, vmold and imold arguments may be employed to interface with special @@ -337,8 +631,8 @@ devices, such as GPUs and other accelerators. -

10.3 apply — Preconditioner application routine

+

10.4 apply — Preconditioner application routine

@@ -346,47 +640,47 @@ devices, such as GPUs and other accelerators. call prec%apply(x,y,desc_a,info,trans,work) call prec%apply(x,desc_a,info,trans) -

-

+

+

-

+

Type:

Type:
-

Synchronous. +

Synchronous.

-

+

On Entry

On Entry
-

+

-

+

prec

prec
-

the preconditioner. Scope: local

the preconditioner. Scope: local
Type: required
required
Intent: in.
in.
Specified as: a preconditioner data structure psb_prec_type.

-

+

x

x
-

the source vector. Scope: local

the source vector. Scope: local
Type: required
required
Intent: inout.
inout.
Specified as: a rank one array or an object of type psb_T_vect_type.

-

+

desc_a

desc_a
-

the problem communication descriptor. Scope: local

the problem communication descriptor. Scope: local
Type: required
required
Intent: in.
in.
Specified as: a communication data structure psb_desc_type.

-

+

trans

trans
-

Scope:

Scope:
Type: optional
optional
Intent: in.
in.
Specified as: a character.

-

+

work

work
-

an optional work space Scope: local

an optional work space Scope: local
Type: optional
optional
Intent: inout.
inout.
Specified as: a double precision array.

-

+

-

+

On Return

On Return
-

+

-

+

y

y
-

the destination vector. Scope: local

the destination vector. Scope: local
Type: required
required
Intent: inout.
inout.
Specified as: a rank one array or an object of type psb_T_vect_type.

-

+

info

info
-

Error code.

Error code.
Scope: local
local
Type: required
required
Intent: out.
out.
An integer value; 0 means no error has been detected.

-

10.4 descr — Prints a description of current preconditioner

+

10.5 descr — Prints a description of current preconditioner

@@ -485,218 +779,218 @@ class="newline" />An integer value; 0 means no error has been detected. -

-

+

+

-

+

Type:

Type:
-

Asynchronous. +

Asynchronous.

-

+

On Entry

On Entry
-

+

-

+

prec

prec
-

the preconditioner. Scope: local

the preconditioner. Scope: local
Type: required
required
Intent: in.
in.
Specified as: a preconditioner data structure psb_prec_type.

-

+

iout

iout
-

output unit. Scope: local

output unit. Scope: local
Type: optional
optional
Intent: in.
in.
Specified as: an integer number. Default: default output unit.

-

+

root

root
-

Process from which to print Scope: local

Process from which to print Scope: local
Type: optional
optional
Intent: in.
in.
Specified as: an integer number between 0 and np - 1, in which case +class="zplmr7m-">np- 1, in which case the specified process will print the description, or -1, in which case all +class="zplmr7y-">-1, in which case all processes will print. Default: 0.

-

+

On Return

On Return
-

+

-

+

info

info
-

Error code.

Error code.
Scope: local
local
Type: required
required
Intent: out.
out.
An integer value; 0 means no error has been detected.

-

10.5 clone — clone current preconditioner

+

10.6 clone — clone current preconditioner

 call  prec%clone(precout,info)
-

-

+

+

-

+

Type:

Type:
-

Asynchronous. +

Asynchronous.

-

+

On Entry

On Entry
-

+

-

+

prec

prec
-

the preconditioner.

the preconditioner.
Scope: local.
local.

-

+

-

+

On Return

On Return
-

+

-

+

precout

precout
-

A copy of the input object. +

A copy of the input object.

-

+

info

info
-

Return code.

+

Return code. -

10.6 free — Free a preconditioner

+

10.7 free — Free a preconditioner

 call prec%free(info)
-

-

+

+

-

+

Type:

Type:
-

Asynchronous. +

Asynchronous.

-

+

On Entry

On Entry
-

+

-

+

prec

prec
-

the preconditioner.

the preconditioner.
Scope: local.
local.
Type: required
required
Intent: inout.
inout.
Specified as: a preconditioner data structure psb_prec_type.

-

+

On Exit

On Exit
-

+

-

+

prec

prec
-

Scope: local

Scope: local
Type: required
required
Intent: inout.
inout.
Specified as: a preconditioner data structure psb_prec_type.

-

+

info

info
-

Scope: global

Scope: global
Type: required
required
Intent: out.
out.
Error code: if no error, 0 is returned.

-

Notes Releases all internal storage. +

Notes Releases all internal storage. diff --git a/docs/html/userhtmlse11.html b/docs/html/userhtmlse11.html index c99d4e40..460347a4 100644 --- a/docs/html/userhtmlse11.html +++ b/docs/html/userhtmlse11.html @@ -15,48 +15,48 @@ href="userhtmlse10.html" >prev] [prev-tail] [tail] [up]

-

11 Iterative Methods

+

11 Iterative Methods

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

11.1 psb_krylov — Krylov Methods Driver Routine

+

11.1 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

1

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

-----∥ri∥------ -err = (∥A∥∥xi∥+ ∥b∥) < eps +src=

2

2

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

∥ri∥- -err = ∥b∥2 < eps +src=

3

3

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

@@ -66,23 +66,24 @@ err = ∥r0∥2 < eps " class="math-display" >

The behaviour is controlled by the istop argument (see later). In the above formulae, xi +class="zplmr7m-">xi is the tentative solution and ri = b - Axi the corresponding residual at the i-th +class="zplmr7m-">ri = b-Axi the corresponding residual at the i-th iteration. - 

call psb_krylov(,info,& 
    )

Type:

Type:

Synchronous.

On Entry

On Entry

method

method

a string that defines the iterative method to be used. Supported values are:

CG:

CG:

the Conjugate Gradient method;

CGS:

CGS:

the Conjugate Gradient Stabilized method;

GCR:

GCR:

the Generalized Conjugate Residual method;

FCG:

FCG:

the Flexible Conjugate Gradient method5 ; + id="x17-144003f5"> ;

BICG:

BICG:

the Bi-Conjugate Gradient method;

BICGSTAB:

BICGSTAB:

the Bi-Conjugate Gradient Stabilized method; @@ -188,28 +189,28 @@ class="description">

BICGSTABL:

BICGSTABL:

the Bi-Conjugate Gradient Stabilized method with restarting;

RGMRES:

RGMRES:

the Generalized Minimal Residual method with restarting.

a

a

the local portion of global sparse matrix A.
A.
Scope: local
local
Type: required
required
Intent: in.
in.
Specified as: a structured data of type psb_type.

prec

prec

The data structure containing the preconditioner.
Scope: local
local
Type: required
required
Intent: in.
in.
Specified as: a structured data of type psb_type.

b

b

The RHS vector.
Scope: local
local
Type: required
required
Intent: in.
in.
Specified as: a rank one array or an object of type psb_type.

x

x

The initial guess.
Scope: local
local
Type: required
required
Intent: inout.
inout.
Specified as: a rank one array or an object of type psb_type.

eps

eps

The stopping tolerance.
Scope: global
global
Type: required
required
Intent: in.
in.
Specified as: a real number.

desc_a

desc_a

contains data structures for communications.
Scope: local
local
Type: required
required
Intent: in.
in.
Specified as: a structured data of type psb_type.

itmax

itmax

The maximum number of iterations to perform.
Scope: global
global
Type: optional
optional
Intent: in.
in.
Default: itmax = 1000.
itmax = 1000.
Specified as: an integer variable itmax ≥ 1. +class="zplmr7m-">itmax ≥ 1.

itrace

itrace

If > 0 print out an informational message about convergence every itrace - iterations. If = 0 print a message in case of convergence failure.
> 0 print out an informational message about convergence every itrace + iterations. If = 0 print a message in case of convergence failure.
Scope: global
global
Type: optional
optional
Intent: in.
in.
Default: itrace = -1.
itrace = -1.

irst

irst

An integer specifying the restart parameter.
Scope: global
global
Type: optional.
optional.
Intent: in.
in.
Values: irst > 0. This is employed for the BiCGSTABL or RGMRES methods, +class="zplmr7m-">irst > 0. This is employed for the BiCGSTABL or RGMRES methods, otherwise it is ignored.

istop

istop

An integer specifying the stopping criterion.
Scope: global
global
Type: optional.
optional.
Intent: in.
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

On Return

x

x

The computed solution.
Scope: local
local
Type: required
required
Intent: inout.
inout.
Specified as: a rank one array or an object of type psb_type.

iter

iter

The number of iterations performed.
Scope: global
global
Type: optional
optional
Intent: out.
out.
Returned as: an integer variable.

err

err

The convergence estimate on exit.
Scope: global
global
Type: optional
optional
Intent: out.
out.
Returned as: a real number.

cond

cond

An estimate of the condition number of matrix A; only available with the CG +class="zplmr7m-">A; only available with the CG method on real data.
Scope: global
global
Type: optional
optional
Intent: out.
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

info

Error code.
Scope: local
local
Type: required
required
Intent: out.
out.
An integer value; 0 means no error has been detected.

-

11.2 psb_richardson — Richardson Iteration Driver Routine

+

11.2 psb_richardson — Richardson Iteration Driver Routine

This subroutine is a driver implementig a Richardson iteration

x = M - 1(b - Ax )+ x , k+1 k k

with the preconditioner operator M defined in the previous section. +class="zplmr7m-">M defined in the previous section.

The stopping criterion can take the following values:

1

1

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

-----∥ri∥------ -err = (∥A∥∥xi∥+ ∥b∥) < eps +src=

2

2

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

∥ri∥- -err = ∥b∥2 < eps +err = ∥b∥ 2 < eps

3

3

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

@@ -507,20 +511,21 @@ err = ∥r0∥2 < eps

The behaviour is controlled by the istop argument (see later). In the above formulae, xi +class="zplmr7m-">xi is the tentative solution and ri = b - Axi the corresponding residual at the i-th +class="zplmr7m-">ri = b-Axi the corresponding residual at the i-th iteration. - 

call psb_richardson(,info,& 
    )

Type:

Type:

Synchronous.

On Entry

On Entry

a

a

the local portion of global sparse matrix A.
A.
Scope: local
local
Type: required
required
Intent: in.
in.
Specified as: a structured data of type psb_type.

prec

prec

The data structure containing the preconditioner.
Scope: local
local
Type: required
required
Intent: in.
in.
Specified as: a structured data of type psb_type.

b

b

The RHS vector.
Scope: local
local
Type: required
required
Intent: in.
in.
Specified as: a rank one array or an object of type psb_type.

x

x

The initial guess.
Scope: local
local
Type: required
required
Intent: inout.
inout.
Specified as: a rank one array or an object of type psb_type.

eps

eps

The stopping tolerance.
Scope: global
global
Type: required
required
Intent: in.
in.
Specified as: a real number.

desc_a

desc_a

contains data structures for communications.
Scope: local
local
Type: required
required
Intent: in.
in.
Specified as: a structured data of type psb_type.

itmax

itmax

The maximum number of iterations to perform.
Scope: global
global
Type: optional
optional
Intent: in.
in.
Default: itmax = 1000.
itmax = 1000.
Specified as: an integer variable itmax ≥ 1. +class="zplmr7m-">itmax ≥ 1.

itrace

itrace

If > 0 print out an informational message about convergence every itrace - iterations. If = 0 print a message in case of convergence failure.
> 0 print out an informational message about convergence every itrace + iterations. If = 0 print a message in case of convergence failure.
Scope: global
global
Type: optional
optional
Intent: in.
in.
Default: itrace = -1.
itrace = -1.

istop

istop

An integer specifying the stopping criterion.
Scope: global
global
Type: optional.
optional.
Intent: in.
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

On Return

x

x

The computed solution.
Scope: local
local
Type: required
required
Intent: inout.
inout.
Specified as: a rank one array or an object of type psb_type.

iter

iter

The number of iterations performed.
Scope: global
global
Type: optional
optional
Intent: out.
out.
Returned as: an integer variable.

err

err

The convergence estimate on exit.
Scope: global
global
Type: optional
optional
Intent: out.
out.
Returned as: a real number.

info

info

Error code.
Scope: local
local
Type: required
required
Intent: out.
out.
An integer value; 0 means no error has been detected.

diff --git a/docs/html/userhtmlse12.html b/docs/html/userhtmlse12.html index 180aa0dd..d5ab2548 100644 --- a/docs/html/userhtmlse12.html +++ b/docs/html/userhtmlse12.html @@ -15,17 +15,17 @@ href="userhtmlse11.html" >prev] [prev-tail] [tail] [up]

-

12 Extensions

+

12 Extensions

The EXT, CUDA and RSB subdirectories contains a set of extensions to the base library. The extensions provide additional storage formats beyond the ones already contained in the base library, as well as interfaces to:

SPGPU

SPGPU
-

a CUDA library originally +

a CUDA library originally published as https://code.google.com/p/spgpu/ and now included @@ -34,11 +34,11 @@ class="cmtt-10">cuda subdir, for computations on NVIDIA GPU

LIBRSB

LIBRSB

http://sourceforge.net/projects/librsb/, for computations on +class="cmtt-10">http://sourceforge.net/projects/librsb/, for computations on multicore parallel machines.

The infrastructure laid out in the base library to allow for these extensions is detailed in the references [10]; the CUDA-specific data formats in [22].

-

12.1 Using the extensions

+

12.1 Using the extensions

A sample application using the PSBLAS extensions will contain the following steps:

+

Pass the mold variable to the base library interface where needed to + ensure the appropriate dynamic type. @@ -141,126 +141,128 @@ class="cmtt-10">test/cuda/kernel subdirectories, where we provide sample speed of the sparse matrix-vector product with the various data structures included in the library.

-

12.2 Extensions’ Data Structures

+

12.2 Extensions’ Data Structures

Access to the facilities provided by the EXT library is mainly achieved through the data types that are provided within. The data classes are derived from the base classes in PSBLAS, through the Fortran 2003 mechanism of type +class="pplri7t-">type extension [extension [17].

The data classes are divided between the general purpose CPU extensions, the GPU interfaces and the RSB interfaces. In the description we will make use of the notation introduced in Table 21. +href="#x19-148001r23">23.

Table 21: Notation for parameters describing a sparse matrix
+>Table 23: Notation for parameters describing a sparse matrix

-

+class="pplr7t-x-x-80">Description - +class="pplr7t-x-x-80">Average number of nonzeros per row +class="pplr7t-x-x-80">Maximum number of nonzeros per row +class="pplr7t-x-x-80">Numero of nonzero diagonals +class="pplr7t-x-x-80">Coefficients array +class="pplr7t-x-x-80">Row indices array +class="pplr7t-x-x-80">Column indices array +class="pplr7t-x-x-80">Row start pointers array +class="pplr7t-x-x-80">Column start pointers array +class="pplr7t-x-x-80">Number of nonzeros per row array +class="pplr7t-x-x-80">Offset for diagonals
Name Name Description
M M Number of rows in matrix
Number of rows in matrix
N N Number of columns in matrix
NZ Number of columns in matrix
NZ Number of nonzeros in matrix
Number of nonzeros in matrix
AVGNZR AVGNZR Average number of nonzeros per row
MAXNZRMAXNZRMaximum number of nonzeros per row
NDIAG NDIAG Numero of nonzero diagonals
AS AS Coefficients array
IA IA Row indices array
JA JA Column indices array
IRP IRP Row start pointers array
JCP JCP Column start pointers array
NZR NZR Number of nonzeros per row array
OFFSET OFFSET Offset for diagonals
@@ -274,7 +276,7 @@ class="td11"> + id="x19-148002r5"> @@ -283,18 +285,18 @@ src="mat.png" alt="PIC" width="147" height="147" >
Figure 5: Example of sparse matrix
+class="content">Example of sparse matrix

-

12.3 CPU-class extensions

+

12.3 CPU-class extensions

ELLPACK
+ id="x19-150000">ELLPACK

The ELLPACK/ITPACK format (shown in Figure 6) comprises two 2-dimensional +href="#x19-150001r6">6) comprises two 2-dimensional arrays AS and JA with M rows and MAXNZR columns, where MAXNZR is the maximum number of nonzeros in any row [?]. Each row of the arrays ?]. Each row of the arrays AS and JA contains the coefficients and column indices; rows shorter than + id="x19-150001r6"> @@ -325,13 +327,13 @@ width="233" height="233" >

Figure 6: ELLPACK compression of matrix in Figure 5
+href="#x19-148002r5">5

+ id="x19-150002r1"> @@ -341,9 +343,8 @@ href="#x19-147002r5">5 - 
    i=1,n 
      t=0 
     j=1,maxnzr 
     ,j)) 
      end do 
     ) = t 
     end do
+ id="x19-150010r1"> - Algorithm 1:  Matrix-Vector product in ELL format + id="x19-150011"> + Algorithm 1:  Matrix-Vector product in ELL format

The matrix-vector product y = Ax can be computed with the code shown in +class="zplmr7m-">y = Ax can be computed with the code shown in Alg. 1; it costs one memory write per outer iteration, plus three memory reads and +href="#x19-150010r1">1; it costs one memory write per outer iteration, plus three memory reads and two floating-point operations per inner iteration. -

Unless all rows have exactly the same number of nonzeros, some of the coefficients -in the AS array will be zeros; therefore this data structure will have an overhead both -in terms of memory space and redundant operations (multiplications by zero). The -overhead can be acceptable if: +

Unless all rows have exactly the same number of nonzeros, some of the +coefficients in the AS array will be zeros; therefore this data structure will have an +overhead both in terms of memory space and redundant operations (multiplications +by zero). The overhead can be acceptable if:

  1. + class="enumerate" id="x19-150013x1">

    The maximum number of nonzeros per row is not much larger than the average;

  2. + class="enumerate" id="x19-150015x2">

    The regularity of the data structure allows for faster code, e.g. by allowing vectorization, thereby offsetting the additional storage requirements.

In the extreme case where the input matrix has one full row, the ELLPACK @@ -492,62 +488,72 @@ class="cmtt-10">psb_T_ell_sparse_mat:

Hacked ELLPACK
-

The hacked ELLPACK (HLL) format alleviates the main problem of the ELLPACK -format, that is, the amount of memory required by padding for sparse matrices in -which the maximum row length is larger than the average. + id="x19-151000">Hacked ELLPACK +

The hacked ELLPACK (HLL) format alleviates the main problem of the ELLPACK +format, that is, the amount of memory required by padding for sparse matrices in +which the maximum row length is larger than the average.

The number of elements allocated to padding is -[(m*maxNR) - (m*avgNR) = m* (maxNR-avgNR)] for both [(m*maxNR) - (m*avgNR) = m* (maxNR-avgNR)] for both AS and JA arrays, where m is equal to the number of rows of the matrix, maxNR is the maximum +class="zplmr7m-">m is equal to the number of rows of the matrix, maxNR is the maximum number of nonzero elements in every row and avgNR is the average number of +class="zplmr7m-">avgNR is the average number of nonzeros. Therefore a single densely populated row can seriously affect the total size of the allocation.

To limit this effect, in the HLL format we break the original matrix into equally sized groups of rows (called hacks), and then store these groups as independent +class="pplri7t-">hacks), and then store these groups as independent matrices in ELLPACK format. The groups can be arranged selecting rows in an arbitrarily manner; indeed, if the rows are sorted by decreasing number of nonzeros we obtain essentially the JAgged Diagonals format. If the rows are not in the original order, then an additional vector rIdx is required, storing the actual row index for -each row in the data structure. +class="pplri7t-">rIdx is required, storing the actual row index for each +row in the data structure.

The multiple ELLPACK-like buffers are stacked together inside a single, one dimensional array; an additional vector hackOffsets is provided to keep track of the +class="pplri7t-">hackOffsets is provided to keep track of the individual submatrices. All hacks have the same number of rows hackSize; hence, the +class="pplri7t-">hackSize; hence, the hackOffsets vector is an array of (m∕hackSize) + 1 elements, each one pointing to -the first index of a submatrix inside the stacked cM/rP buffers, plus an additional +class="pplri7t-">hackOffsets vector is an array of (m/hackSize) + 1 elements, each one pointing to the +first index of a submatrix inside the stacked cM/rP buffers, plus an additional element pointing past the end of the last block, where the next one would begin. We thus have the property that the elements of the k-th hack are stored between +class="zplmr7m-">k-th hack are stored between hackOffsets[k] and hackOffsets[k+1], similarly to what happens in the CSR @@ -558,7 +564,7 @@ format. + id="x19-151001r7"> @@ -568,7 +574,7 @@ width="248" height="248" >

Figure 7: Hacked ELLPACK compression of matrix in Figure 5
+href="#x19-148002r5">5 @@ -595,9 +601,9 @@ class="cmtt-10">psb_T_hll_sparse_mat:

Diagonal storage
+ id="x19-152000">Diagonal storage

The DIAgonal (DIA) format (shown in Figure 8) has a 2-dimensional array 8) has a 2-dimensional array AS containing in each column the coefficients along a diagonal of the matrix, and an integer array OFFSET that determines where each diagonal class="cmtt-10">AS are padded with zeros as necessary.

The code to compute the matrix-vector product y = Ax is shown in Alg. 2; it +class="zplmr7m-">y = Ax is shown in Alg. 2; it costs one memory read per outer iteration, plus three memory reads, one memory write and two floating-point operations per inner iteration. The accesses to + id="x19-152001r8"> @@ -630,13 +637,13 @@ width="248" height="248" >

Figure 8: DIA compression of matrix in Figure 5
+href="#x19-148002r5">5

+ id="x19-152002r2"> @@ -662,12 +669,12 @@ href="#x19-147002r5">5

+ id="x19-152003r2"> - Algorithm 2:  Matrix-Vector product in DIA format + id="x19-152004"> + Algorithm 2:  Matrix-Vector product in DIA format @@ -691,7 +698,7 @@ class="cmtt-10">psb_T_dia_sparse_mat:

Hacked DIA
+ id="x19-153000">Hacked DIA

Storage by DIAgonals is an attractive option for matrices whose coefficients are located on a small set of diagonals, since they do away with storing explicitly the indices and therefore reduce significantly memory traffic. However, having a few @@ -705,40 +712,44 @@ class="cmtt-10">y is too large to remain in the cache memory, the associated cache miss penalty is paid multiple times.

The hacked DIA (HDIA) format was designed to contain the amount of padding, +class="pplri7t-">hacked DIA (HDIA) format was designed to contain the amount of padding, by breaking the original matrix into equally sized groups of rows (hacks), and then -storing these groups as independent matrices in DIA format. This approach is similar -to that of HLL, and requires using an offset vector for each submatrix. Again, +class="pplri7t-">hacks), and then +storing these groups as independent matrices in DIA format. This approach is +similar to that of HLL, and requires using an offset vector for each submatrix. Again, similarly to HLL, the various submatrices are stacked inside a linear array to improve memory management. The fact that the matrix is accessed in slices helps in reducing cache misses, especially regarding accesses to the vector y.

An additional vector hackOffsets is provided to complete the matrix format; given +class="pplri7t-">hackOffsets is provided to complete the matrix format; given that hackSize is the number of rows of each hack, the hackOffsets vector is made by -an array of (m∕hackSize) + 1 elements, pointing to the first diagonal offset of a +class="pplri7t-">hackSize is the number of rows of each hack, the hackOffsets vector is made by an +array of (m/hackSize) + 1 elements, pointing to the first diagonal offset of a submatrix inside the stacked offsets buffers, plus an additional element equal to the -number of nonzero diagonals in the whole matrix. We thus have the property that -the number of diagonals of the k-th hack is given by hackOffsets[k+1] - +class="pplri7t-">offsets buffers, plus an additional element equal to the +number of nonzero diagonals in the whole matrix. We thus have the property +that the number of diagonals of the k-th hack is given by hackOffsets[k+1] - hackOffsets[k]. +class="pplri7t-">hackOffsets[k].

+ id="x19-153001r9"> @@ -748,7 +759,7 @@ width="248" height="248" >
Figure 9: Hacked DIA compression of matrix in Figure 5
+href="#x19-148002r5">5
@@ -792,8 +803,8 @@ class="cmtt-10">psb_T_hdia_sparse_mat: -

12.4 CUDA-class extensions

+

12.4 CUDA-class extensions

For computing with CUDA we define a dual memorization strategy in which each variable on the CPU (“host”) side has a GPU (“device”) side. When a GPU-type variable is initialized, the data contained is (usually) the same on both sides. Each @@ -801,10 +812,10 @@ operator invoked on the variable may change the data so that only the host side the device side are up-to-date.

Keeping track of the updates to data in the variables is essential: we want to perform most computations on the GPU, but we cannot afford the time needed to -move data between the host memory and the device memory because the bandwidth -of the interconnection bus would become the main bottleneck of the computation. -Thus, each and every computational routine in the library is built according to the -following principles: +move data between the host memory and the device memory because the +bandwidth of the interconnection bus would become the main bottleneck of the +computation. Thus, each and every computational routine in the library is built +according to the following principles:

In this way, data items are put on the GPU memory “on demand” and remain there as -long as “normal” computations are carried out. As an example, the following call to a -matrix-vector product +long as “normal” computations are carried out. As an example, the following call to +a matrix-vector product

@@ -850,11 +861,11 @@ then

The first kernel invocation will find the data in main memory, and will copy it to the GPU memory, thus incurring a significant overhead; the result is however not copied back, and therefore: +class="pplri7t-">not copied back, and therefore:

  • -

    Subsequent kernel invocations involving the same vector will find the data - on the GPU side so that they will run at full speed.

    • +

    Subsequent kernel invocations involving the same vector will find the + data on the GPU side so that they will run at full speed.

    For all invocations after the first the only data that will have to be transferred to/from the main memory will be the scalars alpha and beta, and the return code info. @@ -862,7 +873,7 @@ the main memory will be the scalars

    Vectors:

    Vectors:

    The data type psb_T_vect_gpu provides a GPU-enabled extension of the inner type psb_T_base_vect_type, and must be used together with @@ -871,23 +882,23 @@ class="description">

    CSR:

    CSR:

    The data type psb_T_csrg_sparse_mat provides an interface to the GPU version of CSR available in the NVIDIA CuSPARSE library;

    HYB:

    HYB:

    The data type psb_T_hybg_sparse_mat provides an interface to the HYB - GPU storage available in the NVIDIA CuSPARSE library. The internal + GPU storage available in the NVIDIA CuSPARSE library. The internal structure is opaque, hence the host side is just CSR; the HYB data format is only available up to CUDA version 10.

    ELL:

    ELL:

    The data type psb_T_elg_sparse_mat provides an interface to the ELLPACK implementation from SPGPU; @@ -897,14 +908,14 @@ class="description">

    HLL:

    HLL:
    -

    The data type psb_T_hlg_sparse_mat provides an interface to the Hacked - ELLPACK implementation from SPGPU; +

    The data type psb_T_hlg_sparse_mat provides an interface to the + Hacked ELLPACK implementation from SPGPU;

    HDIA:

    HDIA:

    The data type psb_T_hdiag_sparse_mat provides an interface to the Hacked DIAgonals implementation from SPGPU;

    diff --git a/docs/html/userhtmlse13.html b/docs/html/userhtmlse13.html index 90d399e0..82617f4b 100644 --- a/docs/html/userhtmlse13.html +++ b/docs/html/userhtmlse13.html @@ -15,13 +15,13 @@ href="userhtmlse12.html" >prev] [prev-tail] [tail] [up]

    -

    13 CUDA Environment Routines

    +

    13 CUDA Environment Routines

    psb_cuda_init — Initializes PSBLAS-CUDA environment

    + id="x20-156000">psb_cuda_init — Initializes PSBLAS-CUDA environment + id="Q1-20-195">

    @@ -33,44 +33,44 @@ call psb_cuda_init(ctxt [, device])

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    device

    device

    ID of CUDA device to attach to.
    Scope: local.
    local.
    Type: optional.
    optional.
    Intent: in.
    in.
    Specified as: an integer value.  Default: use mod(iam,ngpu) where iam is the calling process index and ngpu is the total number of CUDA devices available on the current node.

    Notes +class="pplb7t-x-x-120">Notes

    1. + class="enumerate" id="x20-156002x1">

      A call to this routine must precede any other PSBLAS-CUDA call.

    psb_cuda_exit — Exit from PSBLAS-CUDA environment

    + id="x20-157000">psb_cuda_exit — Exit from PSBLAS-CUDA environment + id="Q1-20-197">

    @@ -82,33 +82,33 @@ call psb_cuda_exit(ctxt)

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    ctxt

    ctxt

    the communication context identifying the virtual parallel machine.
    Scope: global.
    global.
    Type: required.
    required.
    Intent: in.
    in.
    Specified as: an integer variable.

    psb_cuda_DeviceSync — Synchronize CUDA device

    + id="x20-158000">psb_cuda_DeviceSync — Synchronize CUDA device + id="Q1-20-199"> @@ -123,9 +123,9 @@ call psb_cuda_DeviceSync() CUDA-side code, have completed.

    psb_cuda_getDeviceCount

    + id="x20-159000">psb_cuda_getDeviceCount + id="Q1-20-201">

    @@ -136,9 +136,9 @@ ngpus =  psb_cuda_getDeviceCount()

    Get number of devices available on current computing node.

    psb_cuda_getDevice

    + id="x20-160000">psb_cuda_getDevice + id="Q1-20-203">

    @@ -147,14 +147,14 @@ ngpus =  psb_cuda_getDevice()

    Get device in use by current process. -

    -

    psb_cuda_setDevice

    - +

    +

    psb_cuda_setDevice

    +

    @@ -165,9 +165,9 @@ info = psb_cuda_setDevice(dev)

    Set device to be used by current process.

    psb_cuda_DeviceHasUVA

    + id="x20-162000">psb_cuda_DeviceHasUVA + id="Q1-20-207">

    @@ -178,9 +178,9 @@ hasUva = psb_cuda_DeviceHasUVA()

    Returns true if device currently in use supports UVA (Unified Virtual Addressing).

    psb_cuda_WarpSize

    + id="x20-163000">psb_cuda_WarpSize + id="Q1-20-209">

    @@ -189,14 +189,14 @@ nw = psb_cuda_WarpSize()

    Returns the warp size. -

    -

    psb_cuda_MultiProcessors

    - +

    +

    psb_cuda_MultiProcessors

    +

    @@ -207,9 +207,9 @@ nmp = psb_cuda_MultiProcessors()

    Returns the number of multiprocessors in the CUDA device.

    psb_cuda_MaxThreadsPerMP

    + id="x20-165000">psb_cuda_MaxThreadsPerMP + id="Q1-20-213">

    @@ -220,9 +220,9 @@ nt = psb_cuda_MaxThreadsPerMP()

    Returns the maximum number of threads per multiprocessor.

    psb_cuda_MaxRegistersPerBlock

    + id="x20-166000">psb_cuda_MaxRegistersPerBlock + id="Q1-20-215">

    @@ -231,14 +231,14 @@ nr = psb_cuda_MaxRegistersPerBlock()

    Returns the maximum number of register per thread block. -

    -

    psb_cuda_MemoryClockRate

    - +

    +

    psb_cuda_MemoryClockRate

    +

    @@ -249,9 +249,9 @@ cl = psb_cuda_MemoryClockRate()

    Returns the memory clock rate in KHz, as an integer.

    psb_cuda_MemoryBusWidth

    + id="x20-168000">psb_cuda_MemoryBusWidth + id="Q1-20-219">

    @@ -262,9 +262,9 @@ nb = psb_cuda_MemoryBusWidth()

    Returns the memory bus width in bits.

    psb_cuda_MemoryPeakBandwidth

    + id="x20-169000">psb_cuda_MemoryPeakBandwidth + id="Q1-20-221">

    @@ -282,10 +282,6 @@ bw = psb_cuda_MemoryPeakBandwidth() -

    - - - diff --git a/docs/html/userhtmlse2.html b/docs/html/userhtmlse2.html index 2c1c4c11..f9fb994e 100644 --- a/docs/html/userhtmlse2.html +++ b/docs/html/userhtmlse2.html @@ -16,20 +16,20 @@ href="userhtmlse1.html" >prev] [prev-tail] [tail] [up]

    -

    2 2 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 +class="zplmr7m-">A must be square; it may be real or complex, nonsymmetric, and its sparsity pattern needs not to be symmetric. The serial computation parts are -based on the serial sparse BLAS, so that any extension made to the data structures -of the serial kernels is available to the parallel version. The overall design and +based on the serial sparse BLAS, so that any extension made to the data structures of +the serial kernels is available to the parallel version. The overall design and parallelization strategy have been influenced by the structure of the ScaLAPACK parallel library. The layered structure of the PSBLAS library is shown in figure 1; -lower layers of the library indicate an encapsulation relationship with upper -layers. The ongoing discussion focuses on the Fortran 2003 layer immediately +lower layers of the library indicate an encapsulation relationship with upper layers. +The ongoing discussion focuses on the Fortran 2003 layer immediately below the application layer. The serial parts of the computation on each process are executed through calls to the serial sparse BLAS subroutines. In a similar way, the inter-process message exchanges are encapsulated in an @@ -76,7 +76,7 @@ mesh. process that will own the corresponding row in the coefficient matrix and will carry out all related computations. This allocation strategy is equivalent to a partition of the discretization mesh into sub-domains. Our library supports any +class="pplri7t-">sub-domains. Our library supports any distribution that keeps together the coefficients of each matrix row; there are no other constraints on the variable assignment. This choice is consistent with simple data distributions such as 1 , -even though the resulting memory bottleneck would make this option unattractive in -most cases. -

    2.1 2.1 Basic Nomenclature

    Our computational model implies that the data allocation on the parallel distributed -memory machine is guided by the structure of the physical model, and specifically by -the discretization mesh of the PDE. +memory machine is guided by the structure of the physical model, and specifically +by the discretization mesh of the 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 +class="zplmr7m-">i depends on point j if the equation for a variable associated with i contains a term in j, or equivalently if +class="zplmr7m-">i contains a term in j, or equivalently if aij≠0. After the partition of the discretization mesh into sub-domains assigned +class="zplmr7m-">aij≠0. After the partition of the discretization mesh into sub-domains assigned to the parallel processes, we classify the points of a given sub-domain as following.

    Internal.

    Internal.

    An internal point of a given domain depends only on points of the same +class="pplri7t-">depends only on points of the same domain. If all points of a domain are assigned to one process, then a computational step (e.g., a matrix-vector product) of the equations @@ -133,22 +133,22 @@ class="cmti-10">depends only on points of the same

    Boundary.

    Boundary.
    -

    A point of a given domain is a boundary point if it depends on points +

    A point of a given domain is a boundary point if it depends on points belonging to other domains.

    Halo.

    Halo.

    A halo point for a given domain is a point belonging to another domain such that there is a boundary point which depends on it. Whenever performing +class="pplri7t-">depends on it. Whenever performing a computational step, such as a matrix-vector product, the values associated - with halo points are requested from other domains. A boundary point of a - given domain is usually a halo point for some other domain2 ; therefore the cardinality of the boundary points set denotes the amount @@ -156,10 +156,10 @@ href="userhtml6.html#fn2x0">2

    Overlap.

    Overlap.

    An overlap point is a boundary point assigned to multiple domains. Any - operation that involves an overlap point has to be replicated for each + operation that involves an overlap point has to be replicated for each assignment.

    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 @@ -168,38 +168,41 @@ href="userhtmlli2.html#X2007c">3, 2].

    We denote the sets of internal, boundary and halo points for a given subdomain by I, B and 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 |Ii| + |Bi|, and the number of local columns (i.e. +class="zplmr7y-">I, B and 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 |Ii| + |Bi|, and the number of local columns (i.e. those for which there exists at least one non-zero entry in the local rows) is |Ii| + |Bi| + |Hi|. +class="zplmr7y-">|Ii| + |Bi| + |Hi|.

    @@ -226,13 +229,13 @@ class="content">Point classfication.

    This classification of mesh points guides the naming scheme that we adopted in the library internals and in the data structures. We explicitly note that “Halo” points are also often called “ghost” points in the literature. -

    2.2 2.2 Library contents

    The PSBLAS library consists of various classes of subroutines:

    Computational routines

    Computational routines

    comprising:

      @@ -253,13 +256,13 @@ class="description">

    Communication routines

    Communication routines

    handling halo and overlap communications;

    Data management and auxiliary routines

    Data management and auxiliary routines

    including:

      @@ -283,17 +286,17 @@ class="description">

    Preconditioner routines

    Preconditioner routines

    Iterative methods

    Iterative methods

    a subset of Krylov subspace iterative methods

    -

    The following naming scheme has been adopted for all the symbols internally defined in -the PSBLAS software package: +

    The following naming scheme has been adopted for all the symbols internally defined +in the PSBLAS software package:

    • all symbols (i.e. subroutine names, data types...) are prefixed by

      global

      global

      For input arguments, the value must be the same on all processes - participating in the subroutine call; for output arguments the value is + participating in the subroutine call; for output arguments the value is guaranteed to be the same.

      local

      local

      Each process has its own value(s) independently.

      To finish our general description, we define a version string with the constant @@ -360,36 +363,36 @@ src="userhtml0x.png" alt="psb_version_string_

      whose current value is 3.8.0

      -

      2.3 2.3 Application structure

      The main underlying principle of the PSBLAS library is that the library objects are created and exist with reference to a discretized 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…n is isomorphic to the set of cell centers, +class="zplmr7m-">…n is isomorphic to the set of cell centers, whereas the pattern of the associated linear system matrix is isomorphic to the adjacency graph imposed on the discretization mesh 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 +class="zplmr7m-">n and the allocation of the elements of the index space to the various processes making up the MPI (virtual) parallel machine.

      The index space is partitioned among processes, and this creates a mapping from the “global” numbering 1…n to a numbering “local” to each process; each process i +class="zplmr7m-">…n to a numbering “local” to each process; each process i will own a certain subset 1…nrowi, each element of which corresponds to a certain +class="zplmr7m-">…nrowi, each element of which corresponds to a certain element of 1…n. The user does not set explicitly this mapping; when the application +class="zplmr7m-">…n. The user does not set explicitly this mapping; when the application needs to indicate to which element of the index space a certain item is related, such as the row and column index of a matrix coefficient, it does so in the “global” numbering, and the library will translate into the appropriate “local” @@ -398,8 +401,8 @@ numbering.

      For a given index space 1…n there are many possible associated topologies, i.e. +class="zplmr7m-">…n there are many possible associated topologies, i.e. many different discretization stencils; thus the description of the index space is not completed until the user has defined a sparsity pattern, either explicitly through psb_cdasb and a sparse matrix with a call t class="cmtt-10">psb_spasb. After psb_cdasb each process i will have defined a set of “halo” (or “ghost”) indices nrowi + 1…ncol +class="zplmr7m-">i will have defined a set of “halo” (or “ghost”) indices nrowi + 1…ncol i, +class="zplmr7m-x-x-60">i, denoting elements of the index space that are not assigned to process i; however the +class="pplri7t-">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) +class="zplmr7m-">A, and thus they have to be fetched from (neighbouring) processes. The descriptor of the index space is built exactly for the purpose of properly sequencing the communication steps required to achieve this objective. @@ -492,8 +496,8 @@ class="cmtt-10">psb_krylov class="cmtt-10">bicgstab.

      • This is the structure of the sample programs in the directory test/pargen/. -

      For a simulation in which the same discretization mesh is used over multiple time -steps, the following structure may be more appropriate: +

      For a simulation in which the same discretization mesh is used over multiple +time steps, the following structure may be more appropriate:

      1. @@ -507,8 +511,8 @@ class="cmtt-10">psb_cdall
      2. -

        Loop over the topology of the discretization mesh and build the descriptor - with

        Loop over the topology of the discretization mesh and build the + descriptor with psb_cdins;

      3. psb_sprn;
      4. -

        Loop over the mesh, generate the coefficients and insert/update them - with

        Loop over the mesh, generate the coefficients and insert/update + them with psb_spins and psb_geins;

        5. @@ -555,10 +559,10 @@ class="cmtt-10">psb_geasb;
      5. -

        Choose the preconditioner to be used with prec%init and prec%set, - and build it with

        Choose the preconditioner to be used with prec%init and + prec%set, and build it with prec%build;

      6. psb_spins; this, however, would entail a doubling of memory occupation, and thus would be almost always far from optimal.

        -

        2.3.1 2.3.1 User-defined index mappings

        PSBLAS supports user-defined global to local index mappings, subject to the constraints outlined in sec. 2.3:

      7. The set of indices owned locally must be mapped to the set 1…nrowi; +class="zplmr7m-">…nrowi;

      8. The set of halo points must be mapped to the set nrowi + 1…ncol +class="zplmr7m-">nrowi + 1…ncol i;

      +class="zplmr7m-x-x-60">i;

      but otherwise the mapping is arbitrary. The user application is responsible to ensure consistency of this mapping; some errors may be caught by the library, but this is not guaranteed. The application structure to support this usage is as @@ -621,7 +626,7 @@ follows:

      1. -

        Initialize index +

        Initialize index space with psb_cdall(ictx,desc,info,vl=vl,lidx=lidx) passing the vectors lidx(:) containing the corresponding local

      2. -

        Add the halo points ja(:) and their associated local indices lidx(:) with - a(some) call(s) to

        Add the halo points ja(:) and their associated local indices lidx(:) + with a(some) call(s) to psb_cdins(nz,ja,desc,info,lidx=lidx);

      3. psb_cdasb; -

        Build the sparse matrices and vectors, optionally making use in psb_spins - and psb_geins of the local argument specifying that the indices in ia, +

        Build the sparse matrices and vectors, optionally making use in psb_spins and psb_geins of the local argument specifying that the + indices in ia, ja and irw, respectively, are already local indices.

      -

      2.4 2.4 Programming model

      The PSBLAS librarary is based on the Single Program Multiple Data (SPMD) programming model: each process participating in the computation performs the @@ -665,30 +670,30 @@ same actions on a chunk of data. Parallelism is thus data-driven.

      Because of this structure, many subroutines coordinate their action across the various processes, thus providing an implicit synchronization point, and therefore must be called simultaneously by all processes participating in the computation. This +class="pplri7t-">must be called simultaneously by all processes participating in the computation. This is certainly true for the data allocation and assembly routines, for all the computational routines and for some of the tools routines.

      However there are many cases where no synchronization, and indeed no communication among processes, is implied; for instance, all the routines in sec. 3 are only acting on the local data structures, and thus may be called independently. -The most important case is that of the coefficient insertion routines: since the -number of coefficients in the sparse and dense matrices varies among the processors, -and since the user is free to choose an arbitrary order in builiding the matrix entries, +The most important case is that of the coefficient insertion routines: since the number +of coefficients in the sparse and dense matrices varies among the processors, and +since the user is free to choose an arbitrary order in builiding the matrix entries, these routines cannot imply a synchronization.

      Throughout this user’s guide each subroutine will be clearly indicated as:

      Synchronous:

      Synchronous:

      must be called simultaneously by all the processes in the relevant communication context;

      Asynchronous:

      Asynchronous:

      may be called in a totally independent manner.

      diff --git a/docs/html/userhtmlse3.html b/docs/html/userhtmlse3.html index 791a901e..8e02cccb 100644 --- a/docs/html/userhtmlse3.html +++ b/docs/html/userhtmlse3.html @@ -16,7 +16,7 @@ href="userhtmlse2.html" >prev] [prev-tail] [tail] [up]

    -

    3 3 Data Structures and Classes

    In this chapter we illustrate the data structures used for definition of routines interfaces. They include data structures for sparse matrices, communication @@ -30,44 +30,44 @@ the library as follows:

    psb_spk_

    psb_spk_
    -

    Kind parameter for short precision real and complex data; corresponds to - a REAL declaration and is normally 4 bytes; +

    Kind parameter for short precision real and complex data; corresponds + to a REAL declaration and is normally 4 bytes;

    psb_dpk_

    psb_dpk_

    Kind parameter for long precision real and complex data; corresponds to a DOUBLE PRECISION declaration and is normally 8 bytes;

    psb_mpk_

    psb_mpk_

    Kind parameter for 4-bytes integer data, as is always used by MPI;

    psb_epk_

    psb_epk_

    Kind parameter for 8-bytes integer data, as is always used by the sizeof methods;

    psb_ipk_

    psb_ipk_

    Kind parameter for “local” integer indices and data; with default build options this is a 4 bytes integer; @@ -77,22 +77,22 @@ class="description">

    psb_lpk_

    psb_lpk_

    Kind parameter for “global” integer indices and data; with default build options this is an 8 bytes integer;

    The integer kinds for local and global indices can be chosen at configure time to hold 4 -or 8 bytes, with the global indices at least as large as the local ones. Together with -the classes attributes we also discuss their methods. Most methods detailed here only -act on the local variable, i.e. their action is purely local and asynchronous unless +or 8 bytes, with the global indices at least as large as the local ones. Together with the +classes attributes we also discuss their methods. Most methods detailed here only act +on the local variable, i.e. their action is purely local and asynchronous unless otherwise stated. The list of methods here is not completely exhaustive; many methods, especially those that alter the contents of the various objects, are usually not needed by the end-user, and therefore are described in the developer’s documentation.

    -

    3.1 3.1 Descriptor data structure

    All the general matrix informations and elements to be exchanged among processes are stored within a data structure of the type psb_desc_type. Every structure of this -type is associated with a discretization pattern and enables data communications and -other operations that are necessary for implementing the various algorithms of +type is associated with a discretization pattern and enables data communications +and other operations that are necessary for implementing the various algorithms of interest to us.

    The data structure itself psb_desc_type can be treated as an opaque object handled via the tools routines of Sec. 6 or the query routines detailed below; nevertheless we include here a description for the curious reader. -

    First we describe the psb_indx_map type. This is a data structure that keeps -track of a certain number of basic issues such as: +

    First we describe the psb_indx_map type. This is a data structure that keeps track +of a certain number of basic issues such as:

    • The value of the communication context; @@ -138,12 +138,12 @@ object whose dynamic type can be any of the extended types. The methods associated with this data type answer the following queries:

      • -

        For a given set of local indices, find the corresponding indices in the global - numbering; +

        For a given set of local indices, find the corresponding indices in the + global numbering;

      • -

        For a given set of global indices, find the corresponding indices in the local - numbering, if any, or return an invalid +

        For a given set of global indices, find the corresponding indices in the + local numbering, if any, or return an invalid

      • Add a global index to the set of halo indices; @@ -160,7 +160,7 @@ href="userhtmlse6.html#x11-770006">6).

        indxmap

        indxmap

        A polymorphic variable of a type that is any extension of the indx_map type described above.

        halo_index

        halo_index

        A list of the halo and boundary elements for the current process to be - exchanged with other processes; for each processes with which it is necessary to - communicate: + exchanged with other processes; for each processes with which it is necessary + to communicate: @@ -202,8 +202,8 @@ href="#x8-460003.3">3.3.

        ext_index

        ext_index

        A list of element indices to be exchanged to implement the mapping between a base descriptor and a descriptor with overlap.
        3.3.

        ovrlap_index

        ovrlap_index

        A list of the overlap elements for the current process, organized in groups like the previous vector: @@ -245,9 +245,9 @@ href="#x8-460003.3">3.3.

        ovr_mst_idx

        ovr_mst_idx

        A list to retrieve the value of each overlap element from the respective master process.
        3.3.

        ovrlap_elem

        ovrlap_elem

        For all overlap points belonging to th ecurrent process:

          @@ -276,8 +276,8 @@ class="description">

        bnd_elem

        bnd_elem

        A list of all boundary points, i.e. points that have a connection with other processes.

        @@ -304,8 +304,8 @@ end type psb_desc_type


    Listing 1: The PSBLAS defined data type that contains the communication +>Listing 1: The PSBLAS defined data type that contains the communication descriptor.
    @@ -316,7 +316,7 @@ can take the following values:

    Build:

    Build:

    State entered after the first allocation, and before the first assembly; in this state it is possible to add communication requirements among different @@ -324,14 +324,15 @@ class="description">

    Assembled:

    Assembled:
    -

    State entered after the assembly; computations using the associated sparse - matrix, such as matrix-vector products, are only possible in this state.

    -
    3.1.1

    State entered after the assembly; computations using the associated + sparse matrix, such as matrix-vector products, are only possible in this + state. +

    3.1.1 Descriptor Methods

    -

    3.1.2 3.1.2 get_local_rows — Get number of local rows
    @@ -344,50 +345,51 @@ nr = desc%get_local_rows()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    desc

    desc

    the communication descriptor.
    Scope: local.
    local.

    On Return

    On Return

    Function value

    Function value

    The number of local rows, i.e. the number of rows owned by the current process; as explained in 1, it is equal to |Ii| + |Bi|. The returned value is +class="zplmr7y-">|Ii| + |Bi|. The returned value is specific to the calling process.

    -

    3.1.3 3.1.3 get_local_cols — Get number of local cols
    @@ -400,54 +402,57 @@ nc = desc%get_local_cols()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    desc

    desc

    the communication descriptor.
    Scope: local.
    local.

    On Return

    On Return

    Function value

    Function value

    The number of local cols, i.e. the number of indices used by the current - process, including both local and halo indices; as explained in 1, it is equal - to |Ii| + |Bi| + |Hi|. The returned value is specific to the calling process.

    + process, including both local and halo indices; as explained in 1, it is + equal to |Ii| + |Bi| + |Hi|. The returned value is specific to the calling + process.

    -

    3.1.4 3.1.4 get_global_rows — Get number of global rows
    @@ -460,39 +465,39 @@ nr = desc%get_global_rows()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    desc

    desc

    the communication descriptor.
    Scope: local.
    local.

    On Return

    On Return

    Function value

    Function value

    The number of global rows, i.e. the size of the global index space.

    -

    3.1.5 3.1.5 get_global_cols — Get number of global cols
    @@ -505,40 +510,40 @@ nr = desc%get_global_cols()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    desc

    desc

    the communication descriptor.
    Scope: local.
    local.

    On Return

    On Return

    Function value

    Function value

    The number of global cols; usually this is equal to the number of global rows.

    -

    3.1.6 3.1.6 get_global_indices — Get vector of global indices
    @@ -551,53 +556,53 @@ myidx = desc%get_global_indices([owned])

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    desc

    desc

    the communication descriptor.
    Scope: local.
    local.
    Type: required.
    required.

    owned

    owned
    -

    Choose if you only want owned indices (owned=.true.) or also halo indices - (owned=.false.). Scope: local.

    Choose if you only want owned indices (owned=.true.) or also halo + indices (owned=.false.). Scope: local.
    Type: optional; default: .true..
    optional; default: .true..

    On Return

    On Return

    Function value

    Function value

    The global indices, returned as an allocatable integer array of kind psb_lpk_ and rank 1.

    -

    3.1.7 3.1.7 get_context — Get communication context
    @@ -610,39 +615,39 @@ ctxt = desc%get_context()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    desc

    desc

    the communication descriptor.
    Scope: local.
    local.

    On Return

    On Return

    Function value

    Function value

    The communication context.

    -

    3.1.8 3.1.8 Clone — clone current object
    @@ -655,45 +660,45 @@ call  desc%clone(descout,info)

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    desc

    desc

    the communication descriptor.
    Scope: local.
    local.

    On Return

    On Return

    descout

    descout

    A copy of the input object.

    info

    info

    Return code.

    -

    3.1.9 3.1.9 CNV — convert internal storage format
    @@ -706,33 +711,33 @@ call  desc%cnv(mold)

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    desc

    desc

    the communication descriptor.
    Scope: local.
    local.

    mold

    mold

    the desired integer storage format.
    Scope: local.
    Specified as: a object of type derived from (integer) +class="pplb7t-">local.
    Specified as: a object of type derived from (integer) psb_type.

    The mold arguments may be employed to interface with special devices, such as GPUs and other accelerators.

    -

    3.1.10 3.1.10 psb_cd_get_large_threshold — Get threshold for index mapping switch
    @@ -757,24 +762,24 @@ ith = psb_cd_get_large_threshold()

    Type:

    Type:

    Asynchronous.

    On Return

    On Return

    Function value

    Function value

    The current value for the size threshold.

    -

    3.1.11 3.1.11 psb_cd_set_large_threshold — Set threshold for index mapping switch
    @@ -788,34 +793,34 @@ call psb_cd_set_large_threshold(ith)

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    ith

    ith

    the new threshold for communication descriptors.
    Scope: global.
    global.
    Type: required.
    required.
    Intent: in.
    in.
    Specified as: an integer value greater than zero.

    -

    Note: the threshold value is only queried by the library at the time a call to psb_cdall -is executed, therefore changing the threshold has no effect on communication +

    Note: the threshold value is only queried by the library at the time a call to psb_cdall is +executed, therefore changing the threshold has no effect on communication descriptors that have already been initialized. Moreover the threshold must have the same value on all processes.

    -

    3.1.12 3.1.12 get_p_adjcncy — Get process adjacency list
    @@ -828,25 +833,25 @@ list =  desc%get_p_adjcncy()

    Type:

    Type:

    Asynchronous.

    On Return

    On Return

    Function value

    Function value
    -

    The current list of adjacent processes, i.e. processes with which the current - one has to exchange halo data. +

    The current list of adjacent processes, i.e. processes with which the + current one has to exchange halo data.

    -

    3.1.13 3.1.13 set_p_adjcncy — Set process adjacency list
    @@ -859,34 +864,34 @@ call desc%set_p_adjcncy(list)

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    list

    list

    the list of adjacent processes.
    Scope: local.
    local.
    Type: required.
    required.
    Intent: in.
    in.
    Specified as: a one-dimensional array of integers of kind psb_ipk_.

    -

    Note: this method can be called after a call to psb_cdall and before a call to -psb_cdasb. The user is specifying here some knowledge about which processes are -topological neighbours of the current process. The availability of this information -may speed up the execution of the assembly call psb_cdasb. +

    Note: this method can be called after a call to psb_cdall and before a call to psb_cdasb. +The user is specifying here some knowledge about which processes are topological +neighbours of the current process. The availability of this information may speed up +the execution of the assembly call psb_cdasb.

    -

    3.1.14 3.1.14 fnd_owner — Find the owner process of a set of indices
    @@ -899,46 +904,46 @@ call desc%fnd_owner(idx,iprc,info)

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    idx

    idx

    the list of global indices for which we need the owning processes.
    Scope: local.
    local.
    Type: required.
    required.
    Intent: in.
    in.
    Specified as: a one-dimensional array of integers of kind psb_lpk_.

    On Return

    On Return

    iprc

    iprc

    the list of processes owning the indices in idx.
    Scope: local.
    local.
    Type: required.
    required.
    Intent: in.
    in.
    Specified as: an allocatable one-dimensional array of integers of kind psb_ipk_.

    Note: this method may or may not actually require communications, depending on the @@ -949,82 +954,82 @@ processes.

    -

    3.1.15 3.1.15 Named Constants

    psb_none_

    psb_none_

    Generic no-op;

    psb_root_

    psb_root_

    Default root process for broadcast and scatter operations;

    psb_nohalo_

    psb_nohalo_

    Do not fetch halo elements;

    psb_halo_

    psb_halo_

    Fetch halo elements from neighbouring processes;

    psb_sum_

    psb_sum_

    Sum overlapped elements

    psb_avg_

    psb_avg_

    Average overlapped elements

    psb_comm_halo_

    psb_comm_halo_

    Exchange data based on the halo_index list;

    psb_comm_ext_

    psb_comm_ext_

    Exchange data based on the ext_index list;

    psb_comm_ovr_

    psb_comm_ovr_

    Exchange data based on the ovrlap_index list; @@ -1033,15 +1038,15 @@ class="description">

    psb_comm_mov_

    psb_comm_mov_

    Exchange data based on the ovr_mst_idx list;

    -

    3.2 3.2 Sparse Matrix class

    The [12] as detailed in [10]; the type declaration is shown in figure 2 where T is a -placeholder for the data type and precision variants +href="#x8-26001r2">2 where T is +a placeholder for the data type and precision variants

    S

    S

    Single precision real;

    D

    D

    Double precision real;

    C

    C

    Single precision complex;

    Z

    Z

    Double precision complex;

    LS,LD,LC,LZ

    LS,LD,LC,LZ

    Same numeric type as above, but with psb_lpk_ integer indices.

    The actual data is contained in the polymorphic component a%a of type @@ -1092,8 +1097,8 @@ class="cmtt-10">_T_base_sparse_mat; its specific layout can be chosen dynamically among the -predefined types, or an entirely new storage layout can be implemented and passed to -the library at runtime via the psb_spasb routine. +predefined types, or an entirely new storage layout can be implemented and passed +to the library at runtime via the psb_spasb routine.

    @@ -1109,7 +1114,7 @@ the library at runtime via the
    -
    Listing 2: The PSBLAS defined data type that contains a sparse matrix.
    @@ -1121,31 +1126,31 @@ always available:

    psb_T_coo_sparse_mat

    psb_T_coo_sparse_mat

    Coordinate storage;

    psb_T_csr_sparse_mat

    psb_T_csr_sparse_mat

    Compressed storage by rows;

    psb_T_csc_sparse_mat

    psb_T_csc_sparse_mat

    Compressed storage by columns;

    The inner sparse matrix has an associated state, which can take the following @@ -1153,32 +1158,32 @@ values:

    Build:

    Build:

    State entered after the first allocation, and before the first assembly; in this state it is possible to add nonzero entries.

    Assembled:

    Assembled:

    State entered after the assembly; computations using the sparse matrix, such as matrix-vector products, are only possible in this state;

    Update:

    Update:
    -

    State entered after a reinitalization; this is used to handle applications +

    State entered after a reinitalization; this is used to handle applications in which the same sparsity pattern is used multiple times with different coefficients. In this state it is only possible to enter coefficients for already existing nonzero entries.

    The only storage variant supporting the build state is COO; all other variants are obtained by conversion to/from it. -

    3.2.1 3.2.1 Sparse Matrix Methods

    -

    3.2.2 3.2.2 get_nrows — Get number of rows in a sparse matrix
    @@ -1191,39 +1196,39 @@ nr = a%get_nrows()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix
    Scope: local
    local

    On Return

    On Return

    Function value

    Function value

    The number of rows of sparse matrix a.

    -

    3.2.3 3.2.3 get_ncols — Get number of columns in a sparse matrix
    @@ -1236,39 +1241,39 @@ nc = a%get_ncols()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix
    Scope: local
    local

    On Return

    On Return

    Function value

    Function value

    The number of columns of sparse matrix a.

    -

    3.2.4 3.2.4 get_nnzeros — Get number of nonzero elements in a sparse matrix
    @@ -1281,47 +1286,47 @@ nz = a%get_nnzeros()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix
    Scope: local
    local

    On Return

    On Return

    Function value

    Function value

    The number of nonzero elements stored in sparse matrix a.

    Notes +class="pplb7t-">Notes

    1. -

      The function value is specific to the storage format of matrix a; some +

      The function value is specific to the storage format of matrix a; some storage formats employ padding, thus the returned value for the same matrix may be different for different storage choices.

    -

    3.2.5 3.2.5 get_size — Get maximum number of nonzero elements in a sparse matrix
    @@ -1335,40 +1340,40 @@ maxnz = a%get_size()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix
    Scope: local
    local

    On Return

    On Return

    Function value

    Function value

    The maximum number of nonzero elements that can be stored in sparse matrix a using its current memory allocation.

    -

    3.2.6 3.2.6 sizeof — Get memory occupation in bytes of a sparse matrix
    @@ -1381,46 +1386,46 @@ memory_size = a%sizeof()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix
    Scope: local
    local

    On Return

    On Return

    Function value

    Function value

    The memory occupation in bytes.

    -

    3.2.7 3.2.7 get_fmt — Short description of the dynamic type

    write(*,*) a%get_fmt()

    Type:

    Type:

    Asynchronous. @@ -1429,34 +1434,34 @@ class="description">

    On Entry

    On Entry

    a

    a

    the sparse matrix
    Scope: local
    local

    On Return

    On Return

    Function value

    Function value
    -

    A short string describing the dynamic type of the matrix. Predefined values - include NULL, COO, CSR and CSC.

    +

    A short string describing the dynamic type of the matrix. Predefined + values include NULL, COO, CSR and CSC.

    -

    3.2.8 3.2.8 is_bld, is_upd, is_asb — Status check

    if (a%is_bld()) then
    if (a%is_upd()) then
    if<

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix
    Scope: local
    local

    @@ -1490,18 +1495,18 @@ class="newline" />

    On Return

    On Return

    Function value

    Function value

    A logical value indicating whether the matrix is in the Build, Update or Assembled state, respectively.

    -

    3.2.9 3.2.9 is_lower, is_upper, is_triangle, is_unit — Format check
    @@ -1517,41 +1522,41 @@ if (a%is_unit()) then

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix
    Scope: local
    local

    On Return

    On Return

    Function value

    Function value
    -

    A logical value indicating whether the matrix is triangular; if +

    A logical value indicating whether the matrix is triangular; if is_triangle() returns .true. check also if it is lower, upper and with a unit (i.e. assumed) diagonal.

    -

    3.2.10 3.2.10 cscnv — Convert to a different storage format
    @@ -1565,46 +1570,46 @@ call  a%cscnv(info [, type, mold, dupl

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix.
    A variable of type psb_Tspmat_type.
    Scope: local.
    local.

    type

    type

    a string requesting a new format.
    Type: optional.

    mold

    mold

    a variable of class(psb_T_base_sparse_mat) requesting a new format.
    Type: optional.

    dupl

    dupl
    -

    an integer value specifing how to handle duplicates (see Named Constants - below)

    +

    an integer value specifing how to handle duplicates (see Named + Constants below)

    @@ -1612,26 +1617,26 @@ class="description">

    On Return

    On Return

    b,a

    b,a

    A copy of a with a new storage format.
    A variable of type psb_Tspmat_type.

    info

    info

    Return code.

    The mold arguments may be employed to interface with special devices, such as GPUs and other accelerators.

    -

    3.2.11 3.2.11 csclip — Reduce to a submatrix
    @@ -1646,43 +1651,43 @@ indices to the range 1:

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix.
    A variable of type psb_Tspmat_type.
    Scope: local.
    local.

    imin,imax,jmin,jmax

    imin,imax,jmin,jmax

    Minimum and maximum row and column indices.
    Type: optional.

    rscale,cscale

    rscale,cscale

    Whether to rescale row/column indices. Type: optional.

    On Return

    On Return

    @@ -1691,18 +1696,18 @@ class="description">

    b

    b

    A copy of a submatrix of a.
    A variable of type psb_Tspmat_type.

    info

    info

    Return code.

    -

    3.2.12 3.2.12 clean_zeros — Eliminate zero coefficients

    call a%clean_zeros(info)

    Eliminates zero coefficients in the input matrix. Note that depending on the @@ -1712,30 +1717,30 @@ output.

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix.
    A variable of type psb_Tspmat_type.
    Scope: local.
    local.

    On Return

    On Return

    @@ -1744,54 +1749,54 @@ class="description">

    a

    a

    The matrix a without zero coefficients.
    A variable of type psb_Tspmat_type.

    info

    info

    Return code.

    -

    3.2.13 3.2.13 get_diag — Get main diagonal

    call a%get_diag(d,info)

    Returns a copy of the main diagonal.

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix.
    A variable of type psb_Tspmat_type.
    Scope: local.
    local.

    On Return

    On Return

    d

    d

    A copy of the main diagonal.
    A one-dimensional array of the appropriate type. @@ -1801,61 +1806,61 @@ class="newline" />A one-dimensional array of the appropriate type.

    info

    info

    Return code.

    -

    3.2.14 3.2.14 clip_diag — Cut out main diagonal

    call a%clip_diag(b,info)

    Returns a copy of a without the main diagonal.

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix.
    A variable of type psb_Tspmat_type.
    Scope: local.
    local.

    On Return

    On Return

    b

    b

    A copy of a without the main diagonal.
    A variable of type psb_Tspmat_type.

    info

    info

    Return code.

    -

    3.2.15 3.2.15 tril — Return the lower triangle
    @@ -1866,48 +1871,48 @@ class="description">

    Returns the lower triangular part of submatrix A(imin:imax,jmin:jmax), -optionally rescaling row/col indices to the range 1:imax-imin+1,1:jmax-jmin+1 and -returing the complementary upper triangle. +optionally rescaling row/col indices to the range 1:imax-imin+1,1:jmax-jmin+1 +and returing the complementary upper triangle.

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix.
    A variable of type psb_Tspmat_type.
    Scope: local.
    local.

    diag

    diag

    Include diagonals up to this one; diag=1 means the first superdiagonal, diag=-1 means the first subdiagonal. Default 0.

    imin,imax,jmin,jmax

    imin,imax,jmin,jmax

    Minimum and maximum row and column indices.
    Type: optional.

    rscale,cscale

    rscale,cscale

    Whether to rescale row/column indices. Type: optional.

    @@ -1917,31 +1922,31 @@ class="description">

    On Return

    On Return

    l

    l

    A copy of the lower triangle of a.
    A variable of type psb_Tspmat_type.

    u

    u

    (optional) A copy of the upper triangle of a.
    A variable of type psb_Tspmat_type.

    info

    info

    Return code.

    -

    3.2.16 3.2.16 triu — Return the upper triangle
    @@ -1957,43 +1962,43 @@ and returing the complementary lower triangle.

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix.
    A variable of type psb_Tspmat_type.
    Scope: local.
    local.

    diag

    diag

    Include diagonals up to this one; diag=1 means the first superdiagonal, diag=-1 means the first subdiagonal. Default 0.

    imin,imax,jmin,jmax

    imin,imax,jmin,jmax

    Minimum and maximum row and column indices.
    Type: optional.

    rscale,cscale

    rscale,cscale

    Whether to rescale row/column indices. Type: optional.

    @@ -2003,50 +2008,50 @@ class="description">

    On Return

    On Return

    u

    u

    A copy of the upper triangle of a.
    A variable of type psb_Tspmat_type.

    l

    l

    (optional) A copy of the lower triangle of a.
    A variable of type psb_Tspmat_type.

    info

    info

    Return code.

    -

    3.2.17 3.2.17 psb_set_mat_default — Set default storage format

    call psb_set_mat_default(a)

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    a variable of class(psb_T_base_sparse_mat) requesting a new default storage format.
    Type: required.

    -

    3.2.18 3.2.18 clone — Clone current object

    call a%clone(b,info)

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    a

    a

    the sparse matrix.
    Scope: local.
    local.

    On Return

    On Return

    b

    b

    A copy of the input object.

    info

    info

    Return code.

    -

    3.2.19 3.2.19 Named Constants

    psb_dupl_ovwrt_

    psb_dupl_ovwrt_

    Duplicate coefficients should be overwritten (i.e. ignore duplications) @@ -2118,51 +2123,51 @@ class="description">

    psb_dupl_add_

    psb_dupl_add_

    Duplicate coefficients should be added;

    psb_dupl_err_

    psb_dupl_err_

    Duplicate coefficients should trigger an error conditino

    psb_upd_dflt_

    psb_upd_dflt_

    Default update strategy for matrix coefficients;

    psb_upd_srch_

    psb_upd_srch_

    Update strategy based on search into the data structure;

    psb_upd_perm_

    psb_upd_perm_

    Update strategy based on additional permutation data (see tools routine description).

    -

    3.3 3.3 Dense Vector Data Structure

    The

    I

    I

    Integer;

    S

    S

    Single precision real; @@ -2203,19 +2208,19 @@ class="description">

    D

    D

    Double precision real;

    C

    C

    Single precision complex;

    Z

    Z

    Double precision complex.

    The actual data is contained in the polymorphic component v%v; the separation between @@ -2243,56 +2248,56 @@ memory.

    -
    Listing 3: The PSBLAS defined data type that contains a dense vector.
    -
    3.3.1 3.3.1 Vector Methods

    -

    3.3.2 3.3.2 get_nrows — Get number of rows in a dense vector

    nr = v%get_nrows()

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    v

    v

    the dense vector
    Scope: local
    local

    On Return

    On Return

    Function value

    Function value

    The number of rows of dense vector v.

    -

    3.3.3 3.3.3 sizeof — Get memory occupation in bytes of a dense vector

    memory_size = v%sizeof()

    @@ -2302,39 +2307,39 @@ class="description">

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    v

    v

    the dense vector
    Scope: local
    local

    On Return

    On Return

    Function value

    Function value

    The memory occupation in bytes.

    -

    3.3.4 3.3.4 set — Set contents of the vector
    @@ -2349,66 +2354,66 @@ class="description">

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    v

    v

    the dense vector
    Scope: local
    local

    alpha

    alpha

    A scalar value.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a number of the data type indicated in Table 1.

    first,last

    first,last

    Boundaries for setting in the vector.
    Scope: local
    local
    Type: optional
    optional
    Intent: in.
    in.
    Specified as: integers.

    vect

    vect

    An array
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a number of the data type indicated in Table 1.

    Note that a call to v%zero() is provided as a shorthand, but is equivalent to a call @@ -2418,20 +2423,20 @@ kind.

    On Return

    On Return

    v

    v

    the dense vector, with updated entries
    Scope: local
    local

    -

    3.3.5 3.3.5 get_vect — Get a copy of the vector contents
    @@ -2444,61 +2449,61 @@ extv = v%get_vect([n])

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    v

    v

    the dense vector
    Scope: local
    local

    n

    n

    Size to be returned
    Scope: local.
    local.
    Type: optional; default: entire vector.
    optional; default: entire vector.

    On Return

    On Return

    Function value

    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.

    +

    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.

    -

    3.3.6 3.3.6 clone — Clone current object
    @@ -2511,48 +2516,48 @@ call  x%clone(y,info)

    Type:

    Type:

    Asynchronous.

    On Entry

    On Entry

    x

    x

    the dense vector.
    Scope: local.
    local.

    On Return

    On Return

    y

    y

    A copy of the input object.

    info

    info

    Return code.

    -

    3.4 3.4 Preconditioner data structure

    Our base library offers support for simple well known preconditioners like Diagonal Scaling or Block Jacobi with incomplete factorization ILU(0). @@ -2593,7 +2598,7 @@ class="content">The PSBLAS defined data type that contains a preconditioner.

    -

    3.5 3.5 Heap data structure

    Among the tools routines of sec. 6, we have a number of sorting utilities; the heap @@ -2605,7 +2610,7 @@ class="cmtt-10">psb_T_heap

    -

    : a heap containing elements of type T, where T can be i,s,c,d,z for +

    : a heap containing elements of type T, where T can be i,s,c,d,z for integer, real and complex data;

    @@ -2621,32 +2626,32 @@ class="description">

    init

    init

    Initialize memory; also choose ascending or descending order;

    howmany

    howmany

    Current heap occupancy;

    insert

    insert

    Add an item (or an item and its index);

    get_first

    get_first

    Remove and return the first element;

    dump

    dump

    Print on file; @@ -2655,7 +2660,7 @@ class="description">

    free

    free

    Release memory.

    These objects are used to implement the factorization and approximate inversion diff --git a/docs/html/userhtmlse4.html b/docs/html/userhtmlse4.html index a23f021f..ca615bb1 100644 --- a/docs/html/userhtmlse4.html +++ b/docs/html/userhtmlse4.html @@ -16,12 +16,12 @@ href="userhtmlse3.html" >prev] [prev-tail] [tail] [up]

    -

    4 4 Computational routines

    -

    4.1 4.1 psb_geaxpby — General Dense Matrix Sum

    This subroutine is an interface to the computational kernel for dense matrix sum: @@ -44,7 +44,7 @@ src="userhtml1x.png" alt="y ← α x+ βy

    -

    +class="pplb7t-">Subroutine
    x, y, α, β x, y, α, β Subroutine
    Short Precision Real Short Precision Real psb_geaxpby
    Long Precision Real Long Precision Real psb_geaxpby
    Short Precision Complexpsb_geaxpby
    Long Precision Complex Long Precision Complexpsb_geaxpby
    -
    Table 1: Data types
    @@ -90,43 +90,43 @@ class="content">Data types

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    alpha

    alpha

    the scalar α.
    α.
    Scope: global
    global
    Type: required
    required
    Intent: in.
    in.
    Specified as: a number of the data type indicated in Table 1.

    x

    x

    the local portion of global dense matrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a rank one or two array or an object of type _vect_type containing numbers of type specified in Table 1. The rank of x must be the same of y. +class="zplmr7m-">x must be the same of y.

    beta

    beta

    the scalar β.
    β.
    Scope: global
    global
    Type: required
    required
    Intent: in.
    in.
    Specified as: a number of the data type indicated in Table 1.

    y

    y

    the local portion of the global dense matrix y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: a rank one or two array or an object of type _vect_type containing numbers of the type indicated in Table 1. The rank of y must be the same of x. +class="zplmr7m-">y must be the same of x.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    On Return

    On Return

    y

    y

    the local portion of result submatrix y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: a rank one or two array or an object of type 1.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    -

    4.2 4.2 psb_gedot — Dot Product

    This function computes dot product between two vectors x and y.
    x and y.
    If x and y are real vectors it computes dot-product as: +class="zplmr7m-">x and y are real vectors it computes dot-product as:

    dot ← xTy

    Else if x and y are complex vectors then it computes dot-product as: +class="zplmr7m-">x and y are complex vectors then it computes dot-product as:

    dot ← xHy

    -

    psb_gedot(x, y, desc_a, info [,global])

    +

    psb_gedot(x, y, desc_a, info [,global])

    @@ -272,7 +272,7 @@ src="userhtml3x.png" alt="dot ← xHy

    -

    +class="pplb7t-">Function
    dot, x, y dot, x, y Function
    Short Precision Real Short Precision Real psb_gedot
    Long Precision Real Long Precision Real psb_gedot
    Short Precision Complexpsb_gedot
    Long Precision Complex Long Precision Complexpsb_gedot
    -
    Table 2: Data types
    @@ -317,28 +317,28 @@ class="content">Data types

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    x

    x

    the local portion of global dense matrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a rank one or two array or an object of type _vect_type containing numbers of type specified in Table 2. The rank of x must be the same of y. +class="zplmr7m-">x must be the same of y.

    y

    y

    the local portion of global dense matrix y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a rank one or two array or an object of type _vect_type containing numbers of type specified in Table 2. The rank of y must be the same of x. +class="zplmr7m-">y must be the same of x.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    global

    global
    @@ -403,53 +403,53 @@ class="description">

    Specifies whether the computation should include the global reduction across all processes.
    Scope: global
    global
    Type: optional.
    optional.
    Intent: in.
    in.
    Specified as: a logical scalar. Default: global=.true.

    On Return

    On Return

    Function value

    Function value

    is the dot product of vectors x and y.
    x and y.
    Scope: global unless the optional variable global=.false. has been +class="pplb7t-">global unless the optional variable global=.false. has been specified
    Specified as: a number of the data type indicated in Table 2.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    Notes +class="pplb7t-x-x-120">Notes

    1. The computation of a global result requires a global communication, which - entails a significant overhead. It may be necessary and/or advisable to - compute multiple dot products at the same time; in this case, it is + entails a significant overhead. It may be necessary and/or advisable + to compute multiple dot products at the same time; in this case, it is possible to improve the runtime efficiency by using the following scheme: 

      (1:3))
      -

      4.3 4.3 psb_gedots — Generalized Dot Product

      This subroutine computes a series of dot products among the columns of two dense matrices x and y: +class="zplmr7m-">x and y:

      res(i) ← x(:,i)Ty(:,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 +class="zplmr7m-">x is used. If x and y are of rank one, then res is a scalar, else it is a rank one array.

      call psb_gedots(res, x, y, desc_a, info)

      @@ -567,7 +567,7 @@ one array.

      -

      +class="pplb7t-">Subroutine +class="td11">Short Precision Real +class="td11">Long Precision Real +class="td11">psb_gedots +class="td11">Long Precision Complex
      res, x, y res, x, y Subroutine
      Short Precision Real psb_gedots psb_gedots
      Long Precision Real psb_gedots psb_gedots
      Short Precision Complexpsb_gedots
      Long Precision Complex psb_gedots psb_gedots
      -
      Table 3: Data types
      @@ -612,28 +612,28 @@ class="content">Data types

      Type:

      Type:

      Synchronous.

      On Entry

      On Entry

      x

      x

      the local portion of global dense matrix x.
      x.
      Scope: local
      local
      Type: required
      required
      Intent: in.
      in.
      Specified as: a rank one or two array or an object of type _vect_type containing numbers of type specified in Table 3. The rank of x must be the same of y. +class="zplmr7m-">x must be the same of y.

      y

      y

      the local portion of global dense matrix y.
      y.
      Scope: local
      local
      Type: required
      required
      Intent: in.
      in.
      Specified as: a rank one or two array or an object of type _vect_type containing numbers of type specified in Table 3. The rank of y must be the same of x. +class="zplmr7m-">y must be the same of x.

      desc_a

      desc_a

      contains data structures for communications.
      Scope: local
      local
      Type: required
      required
      Intent: in.
      in.
      Specified as: an object of type psb_type.

      On Return

      On Return

      @@ -699,50 +699,50 @@ class="description">

      res

      res

      is the dot product of vectors x and y.
      x and y.
      Scope: global
      global
      Intent: out.
      out.
      Specified as: a number or a rank-one array of the data type indicated in Table 2.

      info

      info

      Error code.
      Scope: local
      local
      Type: required
      required
      Intent: out.
      out.
      An integer value; 0 means no error has been detected.

      -

      4.4 4.4 psb_normi — Infinity-Norm of Vector

      This function computes the infinity-norm of a vector x.
      x.
      If x is a real vector it computes infinity norm as: +class="zplmr7m-">x is a real vector it computes infinity norm as:

      amax ← max |xi| +src=

      else if x is a complex vector then it computes the infinity-norm as: +class="zplmr7m-">x is a complex vector then it computes the infinity-norm as:

      amax ← maxi (|re(xi)|+ |im(xi)|) +src=

      psb_geamax(x, desc_a, info [,global])
      psb_normi<

      -

      Function
      amax amax x x Function
      Short Precision RealShort Precision Real Short Precision RealShort Precision Real psb_geamax
      Long Precision Real Long Precision Real Long Precision RealLong Precision Real psb_geamax
      Short Precision Complexpsb_geamax
      Long Precision Real Long Precision Complex Long Precision RealLong Precision Complexpsb_geamax
      -
      Table 4: Data types
      @@ -809,28 +810,28 @@ class="content">Data types

      Type:

      Type:

      Synchronous.

      On Entry

      On Entry

      x

      x

      the local portion of global dense matrix x.
      x.
      Scope: local
      local
      Type: required
      required
      Intent: in.
      in.
      Specified as: a rank one or two array or an object of type 4.

      desc_a

      desc_a

      contains data structures for communications.
      Scope: local
      local
      Type: required
      required
      Intent: in.
      in.
      Specified as: an object of type psb_type.

      global

      global

      Specifies whether the computation should include the global reduction across all processes.
      Scope: global
      global
      Type: optional.
      optional.
      Intent: in.
      in.
      Specified as: a logical scalar. Default: global=.true.

      On Return

      On Return

      @@ -884,36 +885,36 @@ class="description">

      Function value

      Function value

      is the infinity norm of vector x.
      x.
      Scope: global unless the optional variable global=.false. has been +class="pplb7t-">global unless the optional variable global=.false. has been specified
      Specified as: a long precision real number.

      info

      info

      Error code.
      Scope: local
      local
      Type: required
      required
      Intent: out.
      out.
      An integer value; 0 means no error has been detected.

      Notes +class="pplb7t-x-x-120">Notes

      1. The computation of a global result requires a global communication, which - entails a significant overhead. It may be necessary and/or advisable to compute - multiple norms at the same time; in this case, it is possible to improve the - runtime efficiency by using the following scheme: + entails a significant overhead. It may be necessary and/or advisable to + compute multiple norms at the same time; in this case, it is possible to improve + the runtime efficiency by using the following scheme: 

         (1:3))
        -

        4.5 4.5 psb_geamaxs — Generalized Infinity Norm

        This subroutine computes a series of infinity norms on the columns of a dense matrix x: +class="zplmr7m-">x:

        res(i) ← max|x(k,i)| +src=

        @@ -1017,7 +1018,7 @@ src="userhtml7x.png" alt="res(i) ← max|x(k,i)|

        -

        Subroutine
        res res x x Subroutine
        Short Precision RealShort Precision Real Short Precision RealShort Precision Real psb_geamaxs
        Long Precision Real Long Precision Real Long Precision RealLong Precision Real psb_geamaxs
        Short Precision Complexpsb_geamaxs
        Long Precision Real Long Precision Complex Long Precision RealLong Precision Complexpsb_geamaxs
        -
        Table 5: Data types
        @@ -1066,28 +1068,28 @@ class="content">Data types

        Type:

        Type:

        Synchronous.

        On Entry

        On Entry

        x

        x

        the local portion of global dense matrix x.
        x.
        Scope: local
        local
        Type: required
        required
        Intent: in.
        in.
        Specified as: a rank one or two array or an object of type 5.

        desc_a

        desc_a

        contains data structures for communications.
        Scope: local
        local
        Type: required
        required
        Intent: in.
        in.
        Specified as: an object of type psb_type.

        On Return

        On Return

        res

        res

        is the infinity norm of the columns of x.
        x.
        Scope: global
        global
        Intent: out.
        out.
        Specified as: a number or a rank-one array of long precision real numbers.

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        -

        4.6 4.6 psb_norm1 — 1-Norm of Vector

        This function computes the 1-norm of a vector x.
        x.
        If x is a real vector it computes 1-norm as: +class="zplmr7m-">x is a real vector it computes 1-norm as:

        asum ← ∥xi∥ +src=

        else if x is a complex vector then it computes 1-norm as: +class="zplmr7m-">x is a complex vector then it computes 1-norm as:

        asum ← ∥re(x)∥1 + ∥im (x)∥1 +src=

        -

        psb_geasum(x, desc_a, info [,global]) psb_norm1(x, desc_a, info [,global]) +

        psb_geasum(x, desc_a, info [,global])psb_norm1(x, desc_a, info [,global])

        @@ -1182,7 +1184,7 @@ src="userhtml9x.png" alt="asum ← ∥re(x)∥1 + ∥im (x)

        -

        Function
        asum asum x x Function
        Short Precision RealShort Precision Real Short Precision RealShort Precision Real psb_geasum
        Long Precision Real Long Precision Real Long Precision RealLong Precision Real psb_geasum
        Short Precision Complexpsb_geasum
        Long Precision Real Long Precision Complex Long Precision RealLong Precision Complexpsb_geasum
        -
        Table 6: Data types
        @@ -1231,28 +1234,28 @@ class="content">Data types

        Type:

        Type:

        Synchronous.

        On Entry

        On Entry

        x

        x

        the local portion of global dense matrix x.
        x.
        Scope: local
        local
        Type: required
        required
        Intent: in.
        in.
        Specified as: a rank one or two array or an object of type 6.

        desc_a

        desc_a

        contains data structures for communications.
        Scope: local
        local
        Type: required
        required
        Intent: in.
        in.
        Specified as: an object of type psb_type.

        global

        global

        Specifies whether the computation should include the global reduction across all processes.
        Scope: global
        global
        Type: optional.
        optional.
        Intent: in.
        in.
        Specified as: a logical scalar. Default: global=.true.

        On Return

        On Return

        @@ -1306,36 +1309,36 @@ class="description">

        Function value

        Function value

        is the 1-norm of vector x.
        x.
        Scope: global unless the optional variable global=.false. has been +class="pplb7t-">global unless the optional variable global=.false. has been specified
        Specified as: a long precision real number.

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        Notes +class="pplb7t-x-x-120">Notes

        1. The computation of a global result requires a global communication, which - entails a significant overhead. It may be necessary and/or advisable to compute - multiple norms at the same time; in this case, it is possible to improve the - runtime efficiency by using the following scheme: + entails a significant overhead. It may be necessary and/or advisable to + compute multiple norms at the same time; in this case, it is possible to improve + the runtime efficiency by using the following scheme: 

           (1:3))
          -

          4.7 4.7 psb_geasums — Generalized 1-Norm of Vector

          This subroutine computes a series of 1-norms on the columns of a dense matrix x: +class="zplmr7m-">x:

          res(i) ← max|x(k,i)| +src=

          This function computes the 1-norm of a vector x.
          x.
          If x is a real vector it computes 1-norm as: +class="zplmr7m-">x is a real vector it computes 1-norm as:

          res(i) ← ∥xi∥

          else if x is a complex vector then it computes 1-norm as: +class="zplmr7m-">x is a complex vector then it computes 1-norm as:

          res(i) ← ∥re(x )∥1 +∥im (x )∥1 +src=

          call psb_geasums(res, x, desc_a, info) @@ -1453,7 +1457,7 @@ src="userhtml12x.png" alt="res(i) ← ∥re(x )∥1 +∥im (

          -

          Subroutine
          res res x x Subroutine
          Short Precision RealShort Precision Real Short Precision RealShort Precision Real psb_geasums
          Long Precision Real Long Precision Real Long Precision RealLong Precision Real psb_geasums
          Short Precision Complexpsb_geasums
          Long Precision Real Long Precision Complex Long Precision RealLong Precision Complexpsb_geasums
          -
          Table 7: Data types
          @@ -1502,28 +1507,28 @@ class="content">Data types

          Type:

          Type:

          Synchronous.

          On Entry

          On Entry

          x

          x

          the local portion of global dense matrix x.
          x.
          Scope: local
          local
          Type: required
          required
          Intent: in.
          in.
          Specified as: a rank one or two array or an object of type 7.

          desc_a

          desc_a

          contains data structures for communications.
          Scope: local
          local
          Type: required
          required
          Intent: in.
          in.
          Specified as: an object of type psb_type.

          On Return

          On Return

          res

          res

          contains the 1-norm of (the columns of) x.
          x.
          Scope: global
          global
          Intent: out.
          out.
          Short as: a long precision real number. Specified as: a long precision real number. @@ -1575,35 +1580,36 @@ class="newline" />Short as: a long precision real number. Specified as: a long p

          info

          info

          Error code.
          Scope: local
          local
          Type: required
          required
          Intent: out.
          out.
          An integer value; 0 means no error has been detected.

          -

          4.8 4.8 psb_norm2 — 2-Norm of Vector

          This function computes the 2-norm of a vector x.
          x.
          If x is a real vector it computes 2-norm as: +class="zplmr7m-">x is a real vector it computes 2-norm as:

          nrm2 ← √xT-x- +src=

          else if x is a complex vector then it computes 2-norm as: +class="zplmr7m-">x is a complex vector then it computes 2-norm as:

          √---- -nrm2 ← xHx +nrm 2 ← xHx

          @@ -1619,7 +1625,7 @@ nrm2 ← xHx

          -

          Function
          nrm2 nrm2 x x Function
          Short Precision RealShort Precision Real Short Precision RealShort Precision Real psb_genrm2
          Long Precision Real Long Precision Real Long Precision RealLong Precision Real psb_genrm2
          Short Precision Complexpsb_genrm2
          Long Precision Real Long Precision Complex Long Precision RealLong Precision Complexpsb_genrm2
          -
          Table 8: Data types
          @@ -1671,28 +1678,28 @@ class="newline" />

          Type:

          Type:

          Synchronous.

          On Entry

          On Entry

          x

          x

          the local portion of global dense matrix x.
          x.
          Scope: local
          local
          Type: required
          required
          Intent: in.
          in.
          Specified as: a rank one or two array or an object of type 8.

          desc_a

          desc_a

          contains data structures for communications.
          Scope: local
          local
          Type: required
          required
          Intent: in.
          in.
          Specified as: an object of type psb_type.

          global

          global

          Specifies whether the computation should include the global reduction across all processes.
          Scope: global
          global
          Type: optional.
          optional.
          Intent: in.
          in.
          Specified as: a logical scalar. Default: global=.true.

          On Return

          On Return
          @@ -1746,38 +1753,38 @@ class="description">

          Function Value

          Function Value

          is the 2-norm of vector x.
          x.
          Scope: global unless the optional variable global=.false. has been +class="pplb7t-">global unless the optional variable global=.false. has been specified
          Type: required
          required
          Specified as: a long precision real number.

          info

          info

          Error code.
          Scope: local
          local
          Type: required
          required
          Intent: out.
          out.
          An integer value; 0 means no error has been detected.

          Notes +class="pplb7t-x-x-120">Notes

          1. The computation of a global result requires a global communication, which - entails a significant overhead. It may be necessary and/or advisable to compute - multiple norms at the same time; in this case, it is possible to improve the - runtime efficiency by using the following scheme: + entails a significant overhead. It may be necessary and/or advisable to + compute multiple norms at the same time; in this case, it is possible to improve + the runtime efficiency by using the following scheme: 

             (1:3))
            -

            4.9 4.9 psb_genrm2s — Generalized 2-Norm of Vector

            This subroutine computes a series of 2-norms on the columns of a dense matrix x: +class="zplmr7m-">x:

            res(i) ← ∥x(:,i)∥2 @@ -1880,7 +1887,7 @@ src=

            -

            Subroutine
            res res x x Subroutine
            Short Precision RealShort Precision Real Short Precision RealShort Precision Real psb_genrm2s
            Long Precision Real Long Precision Real Long Precision RealLong Precision Real psb_genrm2s
            Short Precision Complexpsb_genrm2s
            Long Precision Real Long Precision Complex Long Precision RealLong Precision Complexpsb_genrm2s
            -
            Table 9: Data types
            @@ -1929,28 +1937,28 @@ class="content">Data types

            Type:

            Type:

            Synchronous.

            On Entry

            On Entry

            x

            x

            the local portion of global dense matrix x.
            x.
            Scope: local
            local
            Type: required
            required
            Intent: in.
            in.
            Specified as: a rank one or two array or an object of type 9.

            desc_a

            desc_a

            contains data structures for communications.
            Scope: local
            local
            Type: required
            required
            Intent: in.
            in.
            Specified as: an object of type psb_type.

            On Return

            On Return

            res

            res

            contains the 1-norm of (the columns of) x.
            x.
            Scope: global
            global
            Intent: out.
            out.
            Specified as: a long precision real number.

            info

            info

            Error code.
            Scope: local
            local
            Type: required
            required
            Intent: out.
            out.
            An integer value; 0 means no error has been detected.

            -

            4.10 4.10 psb_norm1 — 1-Norm of Sparse Matrix

            This function computes the 1-norm of a matrix A:
            A:

            nrm1 ← ∥A ∥1 <dl class=

            A

            A

            represents the global matrix A

    +class="zplmr7m-">A
    @@ -2044,7 +2052,7 @@ class="cmmi-10">A

    -

    Function
    A A Function
    Short Precision Real Short Precision Real psb_spnrm1
    Long Precision Real Long Precision Real psb_spnrm1
    Short Precision Complexpsb_spnrm1
    Long Precision Complex Long Precision Complexpsb_spnrm1
    -
    Table 10: Data types
    @@ -2094,28 +2103,28 @@ psb_norm1(A, desc_a, info)

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    a

    a

    the local portion of the global sparse matrix A.
    A.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    On Return

    On Return

    Function value

    Function value

    is the 1-norm of sparse submatrix A.
    A.
    Scope: global
    global
    Specified as: a long precision real number. @@ -2161,23 +2170,23 @@ class="newline" />Specified as: a long precision real number.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    -

    4.11 4.11 psb_normi — Infinity Norm of Sparse Matrix

    This function computes the infinity-norm of a matrix A:
    A:

    nrmi ← ∥A∥∞ <dl class=

    A

    A

    represents the global matrix A

    +class="zplmr7m-">A
    @@ -2204,7 +2213,7 @@ class="cmmi-10">A

    -

    Function
    A A Function
    Short Precision Real Short Precision Real psb_spnrmi
    Long Precision Real Long Precision Real psb_spnrmi
    Short Precision Complexpsb_spnrmi
    Long Precision Complex Long Precision Complexpsb_spnrmi
    -
    Table 11: Data types
    @@ -2254,28 +2264,28 @@ psb_normi(A, desc_a, info)

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    a

    a

    the local portion of the global sparse matrix A.
    A.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    On Return

    On Return

    Function value

    Function value

    is the infinity-norm of sparse submatrix A.
    A.
    Scope: global
    global
    Specified as: a long precision real number. @@ -2321,27 +2331,27 @@ class="newline" />Specified as: a long precision real number.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    -

    4.12 4.12 psb_spmm — Sparse Matrix by Dense Matrix Product

    This subroutine computes the Sparse Matrix by Dense Matrix Product:
    y ← αAx + βy +src=
    		(1)
    @@ -2372,30 +2382,30 @@ src="userhtml20x.png" alt="y ← αAHx + βy

    x

    x

    is the global dense matrix x:,: +class="zplmr7m-">x:,:

    y

    y

    is the global dense matrix y:,: +class="zplmr7m-">y:,:

    A

    A

    is the global sparse matrix A

    +class="zplmr7m-">A
    @@ -2409,7 +2419,7 @@ class="cmmi-10">A

    -

    +class="pplb7t-">Subroutine +class="td11">Short Precision Real +class="td11">Long Precision Real +class="td11">psb_spmm +class="td11">Long Precision Complex
    A, x, y, α, β A, x, y, α, β Subroutine
    Short Precision Real psb_spmm psb_spmm
    Long Precision Real psb_spmm psb_spmm
    Short Precision Complexpsb_spmm
    Long Precision Complex psb_spmm psb_spmm
    -
    Table 12: Data types
    @@ -2458,43 +2468,43 @@ class="newline" />call

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    alpha

    alpha

    the scalar α.
    α.
    Scope: global
    global
    Type: required
    required
    Intent: in.
    in.
    Specified as: a number of the data type indicated in Table 12.

    a

    a

    the local portion of the sparse matrix A.
    A.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    x

    x

    the local portion of global dense matrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a rank one or two array or an object of type _vect_type containing numbers of type specified in Table 12. The rank of x must be the same of y. +class="zplmr7m-">x must be the same of y.

    beta

    beta

    the scalar β.
    β.
    Scope: global
    global
    Type: required
    required
    Intent: in.
    in.
    Specified as: a number of the data type indicated in Table 12.

    y

    y

    the local portion of global dense matrix y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: a rank one or two array or an object of type _vect_type containing numbers of type specified in Table 12. The rank of y must be the same of x. +class="zplmr7m-">y must be the same of x.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    trans

    trans

    indicates what kind of operation to perform.

    trans = N

    trans = N

    the operation is specified by equation 1

    trans = T

    trans = T

    the operation is specified by equation 2

    trans = C

    trans = C

    the operation is specified by equation 3

    Scope: global
    global
    Type: optional
    optional
    Intent: in.
    in.
    Default: trans = N
    trans = N
    Specified as: a character variable. @@ -2627,108 +2638,109 @@ class="newline" />Specified as: a character variable.

    work

    work

    work array.
    Scope: local
    local
    Type: optional
    optional
    Intent: inout.
    inout.
    Specified as: a rank one array of the same type of x and y with the TARGET +class="zplmr7m-">x and y with the TARGET attribute.

    On Return

    On Return

    y

    y

    the local portion of result matrix y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: an array of rank one or two containing numbers of type specified in Table 12.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    -

    4.13 4.13 psb_spsm — Triangular System Solve

    This subroutine computes the Triangular System Solve:

    y ← αT- 1x + βy -y ← αDT -1x +βy - - 1 -y ← αT Dx +βy -y ← αT- Tx+ βy -y ← αDT -Tx + βy -y ← αT- TDx + βy - - H -y ← αT x +βy -y ← αDT -Hx + βy -y ← αT- HDx + βy + -1 +y ← αDT x+ βy +y ← αT- 1Dx + βy +y ← αT-T x+ βy + -T +y ← αDT x + βy +y ← αT-T Dx + βy +y ← αT-Hx + βy + -H +y ← αDT x + βy +y ← αT-HDx + βy

    where:

    x

    x

    is the global dense matrix x:,: +class="zplmr7m-">x:,:

    y

    y

    is the global dense matrix y:,: +class="zplmr7m-">y:,:

    T

    T

    is the global sparse block triangular submatrix T +class="zplmr7m-">T

    D

    D

    is the scaling diagonal matrix.

    @@ -2750,7 +2762,7 @@ class="newline" />

    -

    +class="pplb7t-">Subroutine +class="td11">Short Precision Real +class="td11">Long Precision Real +class="td11">psb_spsm +class="td11">Long Precision Complex
    T, x, y, D, α, β T, x, y, D, α, β Subroutine
    Short Precision Real psb_spsm psb_spsm
    Long Precision Real psb_spsm psb_spsm
    Short Precision Complexpsb_spsm
    Long Precision Complex psb_spsm psb_spsm
    -
    Table 13: Data types
    @@ -2798,59 +2810,59 @@ class="content">Data types

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    alpha

    alpha

    the scalar α.
    α.
    Scope: global
    global
    Type: required
    required
    Intent: in.
    in.
    Specified as: a number of the data type indicated in Table 13.

    t

    t

    the global portion of the sparse matrix T.
    T.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object type specified in   3.

    x

    x

    the local portion of global dense matrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a rank one or two array or an object of type _vect_type containing numbers of type specified in Table 13. The rank of x must be the same of y. +class="zplmr7m-">x must be the same of y.

    beta

    beta

    the scalar β.
    β.
    Scope: global
    global
    Type: required
    required
    Intent: in.
    in.
    Specified as: a number of the data type indicated in Table 13. @@ -2883,16 +2895,16 @@ href="#x9-68002r13">13.

    y

    y

    the local portion of global dense matrix y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: a rank one or two array or an object of type _vect_type containing numbers of type specified in Table 13. The rank of y must be the same of x. +class="zplmr7m-">y must be the same of x.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    trans

    trans

    specify with unitd the operation to perform. +class="pplri7t-">unitd the operation to perform.

    trans = ’N’

    trans = ’N’

    the operation is with no transposed matrix

    trans = ’T’

    trans = ’T’

    the operation is with transposed matrix.

    trans = ’C’

    trans = ’C’

    the operation is with conjugate transposed matrix.

    Scope: global
    global
    Type: optional
    optional
    Intent: in.
    in.
    Default: trans = N
    trans = N
    Specified as: a character variable.

    unitd

    unitd

    specify with trans the operation to perform. +class="pplri7t-">trans the operation to perform.

    unitd = ’U’

    unitd = ’U’

    the operation is with no scaling

    unitd = ’L’

    unitd = ’L’

    the operation is with left scaling

    unitd = ’R’

    unitd = ’R’

    the operation is with right scaling.

    Scope: global
    global
    Type: optional
    optional
    Intent: in.
    in.
    Default: unitd = U
    unitd = U
    Specified as: a character variable.

    choice

    choice

    specifies the update of overlap elements to be performed on exit:

    @@ -3022,11 +3036,11 @@ class="description"> class="description">

    psb_square_root_

    Scope: global
    global
    Type: optional
    optional
    Intent: in.
    in.
    Default: psb_avg_
    Specified as: an integer variable. @@ -3035,80 +3049,84 @@ class="newline" />Specified as: an integer variable.

    diag

    diag

    the diagonal scaling matrix.
    Scope: local
    local
    Type: optional
    optional
    Intent: in.
    in.
    Default: diag(1) = 1(noscaling)
    diag(1) = 1(noscaling)
    Specified as: a rank one array containing numbers of the type indicated in Table 13.

    work

    work

    a work array.
    Scope: local
    local
    Type: optional
    optional
    Intent: inout.
    inout.
    Specified as: a rank one array of the same type of x with the TARGET +class="zplmr7m-">x with the TARGET attribute.

    On Return

    On Return

    y

    y

    the local portion of global dense matrix y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: an array of rank one or two containing numbers of type specified in Table 13.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    -

    4.14 4.14 psb_gemlt — Entrywise Product

    This function computes the entrywise product between two vectors x and +class="zplmr7m-">x and y +class="zplmr7m-">y

    dot ← x(i)y(i). @@ -3128,7 +3146,7 @@ src=

    -

    +class="pplb7t-">Function
    dot, x, y dot, x, y Function
    Short Precision Real Short Precision Real psb_gemlt
    Long Precision Real Long Precision Real psb_gemlt
    Short Precision Complexpsb_gemlt
    Long Precision Complex Long Precision Complexpsb_gemlt
    -
    Table 14: Data types
    @@ -3173,28 +3191,28 @@ class="content">Data types

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    x

    x

    the local portion of global dense vector x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb2.

    y

    y

    the local portion of global dense vector y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb2.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    On Return

    On Return

    @@ -3254,16 +3272,16 @@ class="description">

    y

    y

    the local portion of result submatrix y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: an object of type psb14.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    -

    4.15 4.15 psb_gediv — Entrywise Division

    This function computes the entrywise division between two vectors x and +class="zplmr7m-">x and y +class="zplmr7m-">y

    ∕ ← x(i)∕y(i). +src=

    psb_gediv(x, y, desc_a, info, [flag) @@ -3313,7 +3331,7 @@ src="userhtml23x.png" alt="∕ ← x(i)∕y(i).

    -

    +class="pplb7t-">Function
    ∕, x, y /, x, y Function
    Short Precision Real Short Precision Real psb_gediv
    Long Precision Real Long Precision Real psb_gediv
    Short Precision Complexpsb_gediv
    Long Precision Complex Long Precision Complexpsb_gediv
    -
    Table 15: Data types
    @@ -3358,28 +3376,28 @@ class="content">Data types

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    x

    x

    the local portion of global dense vector x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb2.

    y

    y

    the local portion of global dense vector y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb2.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    flag

    flag

    check if any of the y(i) = 0, and in case returns error halting the +class="zplmr7m-">y(i) = 0, and in case returns error halting the computation.
    Scope: local
    local
    Type: optional Intent: in.
    optional Intent: in.
    Specified as: the logical value flag=.true. @@ -3448,22 +3468,22 @@ class="newline" />Specified as: the logical value

    On Return

    On Return

    x

    x

    the local portion of result submatrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: an object of type psb14.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    -

    4.16 4.16 psb_geinv — Entrywise Inversion

    This function computes the entrywise inverse of a vector x and puts it into +class="zplmr7m-">x and puts it into y +class="zplmr7m-">y

    ∕ ← 1∕x(i). +src=

    psb_geinv(x, y, desc_a, info, [flag) @@ -3513,7 +3533,7 @@ src="userhtml24x.png" alt="∕ ← 1∕x(i).

    -

    +class="pplb7t-">Function
    ∕, x, y /, x, y Function
    Short Precision Real Short Precision Real psb_geinv
    Long Precision Real Long Precision Real psb_geinv
    Short Precision Complexpsb_geinv
    Long Precision Complex Long Precision Complexpsb_geinv
    -
    Table 16: Data types
    @@ -3558,28 +3578,28 @@ class="content">Data types

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    x

    x

    the local portion of global dense vector x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb2.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: an object of type psb_type.

    flag

    flag

    check if any of the x(i) = 0, and in case returns error halting the +class="zplmr7m-">x(i) = 0, and in case returns error halting the computation.
    Scope: local
    local
    Type: optional Intent: in.
    optional Intent: in.
    Specified as: the logical value flag=.true.

    On Return

    On Return

    @@ -3633,16 +3655,16 @@ class="description">

    y

    y

    the local portion of result submatrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    Specified as: an object of type psb16.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    diff --git a/docs/html/userhtmlse5.html b/docs/html/userhtmlse5.html index 6b87e4b3..f2e2d33c 100644 --- a/docs/html/userhtmlse5.html +++ b/docs/html/userhtmlse5.html @@ -16,7 +16,7 @@ href="userhtmlse4.html" >prev] [prev-tail] [tail] [up]

    -

    5 5 Communication routines

    The routines in this chapter implement various global communication operators on vectors associated with a discretization mesh. For auxiliary communication routines @@ -25,7 +25,7 @@ href="userhtmlse6.html#x11-770006">6. -

    5.1 5.1 psb_halo — Halo Data Communication

    These subroutines gathers the values of the halo elements:

    @@ -36,7 +36,7 @@ src="userhtml25x.png" alt="x ← x

    x

    x

    is a global dense submatrix.

    @@ -60,22 +60,22 @@ id="TBL-17-2">
    α, x α, x Subroutine +class="pplb7t-">Subroutine
    Integer Integer psb_halo Short Precision Real Short Precision Real psb_halo Long Precision Real Long Precision Real psb_halo Short Precision Complexpsb_halo Long Precision Complex Long Precision Complexpsb_halo
    -
    Table 17: Data types
    @@ -102,28 +102,28 @@ class="newline" />call

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    x

    x

    global dense matrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: a rank one or two array or an object of type 17.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a structured data of type psb_type.

    work

    work

    the work array.
    Scope: local
    local
    Type: optional
    optional
    Intent: inout.
    inout.
    Specified as: a rank one array of the same type of x. +class="zplmr7m-">x.

    data

    data

    index list selector.
    Scope: global
    global
    Type: optional
    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. + 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

    On Return

    x

    x

    global dense result matrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    Returned as: a rank one or two array containing numbers of type specified - in Table inout.
    Returned as: a rank one or two array containing numbers of type + specified in Table     17.

    info

    info

    the local portion of result submatrix y.
    y.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value that contains an error code.

    class="content">Sample discretization mesh.

    Usage Example Consider the discretization mesh depicted in fig. Usage Example Consider the discretization mesh depicted in fig. 3, 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 +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:

    @@ -262,574 +262,574 @@ id="TBL-18-5">
    Process 0
    Process 1
    -Process 0
    Process 1
    I IGLOB(I)GLOB(I)X(I)X(I) IIGLOB(I)GLOB(I)X(I) +class="pplr7t-x-x-90">X(I) 1 11 1 1.01.0 1 331 33 2.02.0 22 22 1.01.0 22 3434 2.0 +class="pplr7t-x-x-90">2.0 3 33 3 1.01.0 3 353 35 2.02.0 44 44 1.01.0 44 3636 2.0 +class="pplr7t-x-x-90">2.0 5 55 5 1.01.0 5 375 37 2.02.0 66 66 1.01.0 66 3838 2.0 +class="pplr7t-x-x-90">2.0 7 77 7 1.01.0 7 397 39 2.02.0 88 88 1.01.0 88 4040 2.0 +class="pplr7t-x-x-90">2.0 9 99 9 1.01.0 9 419 41 2.02.01010 1010 1.01.01010 4242 2.0 +class="pplr7t-x-x-90">2.0 11 1111 11 1.01.011 4311 43 2.02.01212 1212 1.01.01212 4444 2.0 +class="pplr7t-x-x-90">2.0 13 1313 13 1.01.013 4513 45 2.02.01414 1414 1.01.01414 4646 2.0 +class="pplr7t-x-x-90">2.0 15 1515 15 1.01.015 4715 47 2.02.01616 1616 1.01.01616 4848 2.0 +class="pplr7t-x-x-90">2.0 17 1717 17 1.01.017 4917 49 2.02.01818 1818 1.01.01818 5050 2.0 +class="pplr7t-x-x-90">2.0 19 1919 19 1.01.019 5119 51 2.0 +class="pplr7t-x-x-90">2.0 20 2020 20 1.01.020 5220 52 2.0 +class="pplr7t-x-x-90">2.0 21 2121 21 1.01.021 5321 53 2.0 +class="pplr7t-x-x-90">2.0 22 2222 22 1.01.022 5422 54 2.0 +class="pplr7t-x-x-90">2.0 23 2323 23 1.01.023 5523 55 2.0 +class="pplr7t-x-x-90">2.0 24 2424 24 1.01.024 5624 56 2.0 +class="pplr7t-x-x-90">2.0 25 2525 25 1.01.025 5725 57 2.0 +class="pplr7t-x-x-90">2.0 26 2626 26 1.01.026 5826 58 2.0 +class="pplr7t-x-x-90">2.0 27 2727 27 1.01.027 5927 59 2.0 +class="pplr7t-x-x-90">2.0 28 2828 28 1.01.028 6028 60 2.0 +class="pplr7t-x-x-90">2.0 29 2929 29 1.01.029 6129 61 2.0 +class="pplr7t-x-x-90">2.0 30 3030 30 1.01.030 6230 62 2.0 +class="pplr7t-x-x-90">2.0 31 3131 31 1.01.031 6331 63 2.0 +class="pplr7t-x-x-90">2.0 32 3232 32 1.01.032 6432 64 2.0 +class="pplr7t-x-x-90">2.0 33 3333 33 2.02.033 2533 25 1.0 +class="pplr7t-x-x-90">1.0 34 3434 34 2.02.034 2634 26 1.0 +class="pplr7t-x-x-90">1.0 35 3535 35 2.02.035 2735 27 1.0 +class="pplr7t-x-x-90">1.0 36 3636 36 2.02.036 2836 28 1.0 +class="pplr7t-x-x-90">1.0 37 3737 37 2.02.037 2937 29 1.0 +class="pplr7t-x-x-90">1.0 38 3838 38 2.02.038 3038 30 1.0 +class="pplr7t-x-x-90">1.0 39 3939 39 2.02.039 3139 31 1.0 +class="pplr7t-x-x-90">1.0 40 4040 40 2.02.040 3240 32 1.0 +class="pplr7t-x-x-90">1.0
    @@ -841,7 +841,7 @@ class="td11"> -

    5.2 5.2 psb_ovrl — Overlap Update

    These subroutines applies an overlap operator to the input vector:

    @@ -852,20 +852,20 @@ src="userhtml26x.png" alt="x ← Qx

    x

    x

    is the global dense submatrix x +class="zplmr7m-">x

    Q

    Q

    is the overlap operator; it is the composition of two operators Pa and PT.

    +class="zplmr7m-">Pa and PT.
    @@ -887,30 +887,31 @@ id="TBL-19-2">
    x x SubroutineSubroutine
    Short Precision Real psb_ovrl +class="td +11">Short Precision Real psb_ovrl Long Precision Real psb_ovrl +class="td11">Long Precision Real psb_ovrl Short Precision Complexpsb_ovrl +class="td11">psb_ovrl Long Precision Complex psb_ovrl +class="td11">Long Precision Complexpsb_ovrl
    -
    Table 18: Data types
    @@ -923,28 +924,28 @@ class="newline" />call

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    x

    x

    global dense matrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: a rank one or two array or an object of type 18.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a structured data of type psb_type.

    update

    update

    Update operator.

    update = psb_none_

    update = psb_none_

    Do nothing;

    update = psb_add_

    update = psb_add_

    Sum overlap entries, i.e. apply PT; +class="zplmr7m-">PT;

    update = psb_avg_

    update = psb_avg_

    Average overlap entries, i.e. apply PaPT;

    +class="zplmr7m-">PaPT;

    Scope: global
    global
    Intent: in.
    in.
    Default: update_type = psb_avg_
    update_type = psb_avg_
    Scope: global
    global
    Specified as: a integer variable.

    work

    work

    the work array.
    Scope: local
    local
    Type: optional
    optional
    Intent: inout.
    inout.
    Specified as: a one dimensional array of the same type of x. +class="zplmr7m-">x.

    On Return

    On Return

    x

    x

    global dense result matrix x.
    x.
    Scope: local
    local
    Type: required
    required
    Intent: inout.
    inout.
    Specified as: an array of rank one or two containing numbers of type specified in Table 18.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    Notes +class="pplb7t-x-x-120">Notes

    1. @@ -1086,20 +1088,21 @@ class="cmbx-12">Notes

    2. The operator PT performs the reduction sum of overlap elements; it is a +class="zplmr7m-">PT performs the reduction sum of overlap elements; it is a “prolongation” operator PT that replicates overlap elements, accounting +class="zplmr7m-">PT that replicates overlap elements, accounting for the physical replication of data;

    3. The operator Pa performs a scaling on the overlap elements by the +class="zplmr7m-">Pa 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.

    + it implements the average of replicated elements over all of their + instances.

    @@ -1124,18 +1127,18 @@ class="content">Sample discretization mesh.

    Example of use Consider the discretization mesh depicted in fig. Example of use Consider the discretization mesh depicted in fig. 4, partitioned -among two processes as shown by the dashed lines, with an overlap of 1 extra layer -with respect to the partition of fig. 3; 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 +class="zplmr7m-">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)

    @@ -1160,687 +1163,687 @@ id="TBL-20-5">
    Process 0
    Process 1
    -Process 0
    Process 1
    I IGLOB(I)GLOB(I)X(I)X(I) IIGLOB(I)GLOB(I)X(I) +class="pplr7t-x-x-80">X(I) 1 11 1 1.01.0 1 331 33 1.51.5 22 22 1.01.0 22 3434 1.5 +class="pplr7t-x-x-80">1.5 3 33 3 1.01.0 3 353 35 1.51.5 44 44 1.01.0 44 3636 1.5 +class="pplr7t-x-x-80">1.5 5 55 5 1.01.0 5 375 37 1.51.5 66 66 1.01.0 66 3838 1.5 +class="pplr7t-x-x-80">1.5 7 77 7 1.01.0 7 397 39 1.51.5 88 88 1.01.0 88 4040 1.5 +class="pplr7t-x-x-80">1.5 9 99 9 1.01.0 9 419 41 2.02.01010 1010 1.01.01010 4242 2.0 +class="pplr7t-x-x-80">2.0 11 1111 11 1.01.011 4311 43 2.02.01212 1212 1.01.01212 4444 2.0 +class="pplr7t-x-x-80">2.0 13 1313 13 1.01.013 4513 45 2.02.01414 1414 1.01.01414 4646 2.0 +class="pplr7t-x-x-80">2.0 15 1515 15 1.01.015 4715 47 2.02.01616 1616 1.01.01616 4848 2.0 +class="pplr7t-x-x-80">2.0 17 1717 17 1.01.017 4917 49 2.02.01818 1818 1.01.01818 5050 2.0 +class="pplr7t-x-x-80">2.0 19 1919 19 1.01.019 5119 51 2.02.02020 2020 1.01.02020 5252 2.0 +class="pplr7t-x-x-80">2.0 21 2121 21 1.01.021 5321 53 2.02.02222 2222 1.01.02222 5454 2.0 +class="pplr7t-x-x-80">2.0 23 2323 23 1.01.023 5523 55 2.0 +class="pplr7t-x-x-80">2.0 24 2424 24 1.01.024 5624 56 2.0 +class="pplr7t-x-x-80">2.0 25 2525 25 1.51.525 5725 57 2.0 +class="pplr7t-x-x-80">2.0 26 2626 26 1.51.526 5826 58 2.0 +class="pplr7t-x-x-80">2.0 27 2727 27 1.51.527 5927 59 2.0 +class="pplr7t-x-x-80">2.0 28 2828 28 1.51.528 6028 60 2.0 +class="pplr7t-x-x-80">2.0 29 2929 29 1.51.529 6129 61 2.0 +class="pplr7t-x-x-80">2.0 30 3030 30 1.51.530 6230 62 2.0 +class="pplr7t-x-x-80">2.0 31 3131 31 1.51.531 6331 63 2.0 +class="pplr7t-x-x-80">2.0 32 3232 32 1.51.532 6432 64 2.0 +class="pplr7t-x-x-80">2.0 33 3333 33 1.51.533 2533 25 1.5 +class="pplr7t-x-x-80">1.5 34 3434 34 1.51.534 2634 26 1.5 +class="pplr7t-x-x-80">1.5 35 3535 35 1.51.535 2735 27 1.5 +class="pplr7t-x-x-80">1.5 36 3636 36 1.51.536 2836 28 1.5 +class="pplr7t-x-x-80">1.5 37 3737 37 1.51.537 2937 29 1.5 +class="pplr7t-x-x-80">1.5 38 3838 38 1.51.538 3038 30 1.5 +class="pplr7t-x-x-80">1.5 39 3939 39 1.51.539 3139 31 1.5 +class="pplr7t-x-x-80">1.5 40 4040 40 1.51.540 3240 32 1.5 +class="pplr7t-x-x-80">1.5 41 4141 41 2.02.041 1741 17 1.0 +class="pplr7t-x-x-80">1.0 42 4242 42 2.02.042 1842 18 1.0 +class="pplr7t-x-x-80">1.0 43 4343 43 2.02.043 1943 19 1.0 +class="pplr7t-x-x-80">1.0 44 4444 44 2.02.044 2044 20 1.0 +class="pplr7t-x-x-80">1.0 45 4545 45 2.02.045 2145 21 1.0 +class="pplr7t-x-x-80">1.0 46 4646 46 2.02.046 2246 22 1.0 +class="pplr7t-x-x-80">1.0 47 4747 47 2.02.047 2347 23 1.0 +class="pplr7t-x-x-80">1.0 48 4848 48 2.02.048 2448 24 1.0 +class="pplr7t-x-x-80">1.0
    +class="td11">
    @@ -1849,41 +1852,43 @@ class="td11"> -

    5.3 5.3 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.

    glob-x ← collect(loc-xi) +src=

    where:

    glob_x

    glob_x

    is the global submatrix glob_x1:m,1:n +class="zplmr7m-">glob_x1:m,1:n

    loc_xi

    loc_xi

    is the local portion of global dense matrix on process i. +class="zplmr7m-">i.

    collect

    collect

    is the collect function.

    @@ -1907,37 +1912,37 @@ id="TBL-21-2">
    xi,y xi, y Subroutine +class="pplb7t-">Subroutine
    Integer psb_gather +class="td11">Integer psb_gather Short Precision Real psb_gather +class="td11">Short Precision Real psb_gather Long Precision Real psb_gather +class="td11">Long Precision Real psb_gather Short Precision Complexpsb_gather +class="td11">psb_gather Long Precision Complex psb_gather +class="td11">Long Precision Complexpsb_gather
    -
    Table 19: Data types
    @@ -1950,30 +1955,30 @@ class="content">Data types

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    loc_x

    loc_x

    the local portion of global dense matrix glob_x.
    glob_x.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a rank one or two array or an object of type 19.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a structured data of type psb_type.

    root

    root

    The process that holds the global copy. If root = -1 all the processes will +class="zplmr7m-">root = -1 all the processes will have a copy of the global vector.
    Scope: global
    global
    Type: optional
    optional
    Intent: in.
    in.
    Specified as: an integer variable -1 ≤ root ≤ np - 1, default -1. +class="zplmr7y-">-1 ≤ root ≤ np- 1, default -1.

    On Return

    On Return

    @@ -2035,34 +2041,34 @@ class="description">

    glob_x

    glob_x

    The array where the local parts must be gathered.
    Scope: global
    global
    Type: required
    required
    Intent: out.
    out.
    Specified as: a rank one or two array with the ALLOCATABLE attribute.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    -

    5.4 5.4 psb_scatter — Scatter Global Dense Matrix

    These subroutines scatters the portions of global dense matrix owned by a process to all the processes in the processes grid. @@ -2074,29 +2080,31 @@ src="userhtml28x.png" alt="loc-xi ← scatter(glob-x)

    glob_x

    glob_x

    is the global matrix glob_x1:m,1:n +class="zplmr7m-">glob_x1:m,1:n

    loc_xi

    loc_xi

    is the local portion of global dense matrix on process i. +class="zplmr7m-">i.

    scatter

    scatter

    is the scatter function.

    @@ -2120,37 +2128,37 @@ id="TBL-22-2">
    xi,y xi, y Subroutine +class="pplb7t-">Subroutine
    Integer psb_scatter +class="td11">Integer psb_scatter Short Precision Real psb_scatter +class="td11">Short Precision Real psb_scatter Long Precision Real psb_scatter +class="td11">Long Precision Real psb_scatter Short Precision Complexpsb_scatter +class="td11">psb_scatter Long Precision Complex psb_scatter +class="td11">Long Precision Complexpsb_scatter
    -
    Table 20: Data types
    @@ -2162,42 +2170,42 @@ class="content">Data types

    Type:

    Type:

    Synchronous.

    On Entry

    On Entry

    glob_x

    glob_x

    The array that must be scattered into local pieces.
    Scope: global
    global
    Type: required
    required
    Intent: in.
    in.
    Specified as: a rank one or two array.

    desc_a

    desc_a

    contains data structures for communications.
    Scope: local
    local
    Type: required
    required
    Intent: in.
    in.
    Specified as: a structured data of type psb_type.

    root

    root

    The process that holds the global copy. If root = -1 all the processes have +class="zplmr7m-">root = -1 all the processes have a copy of the global vector.
    Scope: global
    global
    Type: optional
    optional
    Intent: in.
    in.
    Specified as: an integer variable -1 ≤ root ≤ np - 1, default psb_root_, +class="zplmr7y-">-1 ≤ root ≤ np- 1, default psb_root_, i.e. process 0.

    mold

    mold

    The desired dynamic type for the internal vector storage.
    Scope: local.
    local.
    Type: optional.
    optional.
    Intent: in.
    in.
    Specified as: an object of a class derived from psb_type.

    On Return

    On Return

    loc_x

    loc_x

    the local portion of global dense matrix glob_x.
    glob_x.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    Specified as: a rank one or two ALLOCATABLE array or an object of type 20.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    diff --git a/docs/html/userhtmlse6.html b/docs/html/userhtmlse6.html index 19fb0f5d..382f28d3 100644 --- a/docs/html/userhtmlse6.html +++ b/docs/html/userhtmlse6.html @@ -16,10 +16,10 @@ href="userhtmlse5.html" >prev] [prev-tail] [tail] [up]

    -

    6 6 Data management routines

    -

    6.1 6.1 psb_cdall — Allocates a communication descriptor

    @@ -32,89 +32,90 @@ 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

    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. +class="cmtt-10">repl must be +specified, thereby choosing the specific initialization strategy.

    On Entry

    On Entry

    Type:

    Type:

    Synchronous.

    icontxt

    icontxt

    the communication context.
    Scope:global.
    global.
    Type:required.
    required.
    Intent: in.
    in.
    Specified as: an integer value.

    vg

    vg

    Data allocation: each index i ∈{1…mg} is allocated to process vg(i).
    i ∈{1…mg} is allocated to process vg(i).
    Scope:global.
    global.
    Type:optional.
    optional.
    Intent: in.
    in.
    Specified as: an integer array.

    flag

    flag

    Specifies whether entries in vg are zero- or one-based.
    vg are zero- or one-based.
    Scope:global.
    global.
    Type:optional.
    optional.
    Intent: in.
    Specified as: an integer value 0,1, default 0. +class="pplb7t-">in.
    Specified as: an integer value 0, 1, default 0.

    mg

    mg

    the (global) number of rows of the problem.
    Scope:global.
    global.
    Type:optional.
    optional.
    Intent: in.
    in.
    Specified as: an integer value. It is required if parts or repl is specified, @@ -123,58 +124,61 @@ class="cmtt-10">vg is specified.

    parts

    parts

    the subroutine that defines the partitioning scheme.
    Scope:global.
    global.
    Type:required.
    required.
    Specified as: a subroutine.

    vl

    vl

    Data allocation: the set of global indices vl(1 : nl) belonging to the calling +class="zplmr7m-">vl(1 : nl) belonging to the calling process.
    Scope:local.
    local.
    Type:optional.
    optional.
    Intent: in.
    in.
    Specified as: an integer array.

    nl

    nl

    Data allocation: in a generalized block-row distribution the number of indices belonging to the current process.
    Scope:local.
    local.
    Type:optional.
    optional.
    Intent: in.
    in.
    Specified as: an integer value. May be specified together with vl.

    repl

    repl

    Data allocation: build a replicated index space (i.e. all processes own all indices).
    Scope:global.
    global.
    Type:optional.
    optional.
    Intent: in.
    in.
    Specified as: the logical value .true. @@ -183,55 +187,58 @@ class="cmtt-10">.true.

    globalcheck

    globalcheck

    Data allocation: do global checks on the local index lists vl
    Scope:global.
    global.
    Type:optional.
    optional.
    Intent: in.
    in.
    Specified as: a logical value, default: .false.

    lidx

    lidx

    Data allocation: the set of local indices lidx(1 : nl) to be assigned to the +class="zplmr7m-">lidx(1 : nl) to be assigned to the global indices vl.
    vl.
    Scope:local.
    local.
    Type:optional.
    optional.
    Intent: in.
    in.
    Specified as: an integer array.

    On Return

    On Return

    desc_a

    desc_a

    the communication descriptor.
    Scope:local.
    local.
    Type:required.
    required.
    Intent: out.
    out.
    Specified as: a structured data of type psb_type.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected.

    Notes +class="pplb7t-x-x-120">Notes

    1. @@ -268,7 +275,7 @@ class="cmtt-10">repl must be specified,

      parts

      parts

      In this case we have a subroutine specifying the mapping between global indices and process/local index pairs. If this optional argument is @@ -290,70 +297,78 @@ class="cmtt-10">mg as well. The

      glob_index

      glob_index

      The global index to be mapped;

      np

      np

      The number of processes in the mapping;

      mg

      mg

      The total number of global rows in the mapping;

      The output arguments are:

      nv

      nv

      The number of entries in pv;

      pv

      pv

      A vector containing the indices of the processes to which the global index should be assigend; each entry must satisfy 0 ≤ +class="zplmr7y-">≤ pv(i) < np; if nv > 1 we have an index assigned to multiple +class="zplmr7m-">pv(i) < np; if nv > 1 we have an index assigned to multiple processes, i.e. we have an overlap among the subdomains.

      vg

      vg

      In this case the association between an index and a process is specified via an integer vector vg(1:mg); each index i ∈{1…mg} is assigned to process +class="zplmr7m-">i ∈{1…mg} is assigned to process vg(i). The vector vg(i). The vector vg must be identical on all calling processes; its - entries may have the ranges (0…np - 1) or (1…np) according to the - value of (0…np- 1) or (1…np) according to + the value of flag. The size mg may be specified via the optional +class="zplmr7m-">mg may be specified via the optional argument mg; the default is to use the entire vector vg, thus having @@ -362,7 +377,7 @@ class="cmtt-10">mg=size(vg).

      vl

      vl
      @@ -370,7 +385,7 @@ class="description">

      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 +class="zplmr7m-">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 vl, thus having < class="cmtt-10">nl=size(vl). If globalcheck=.true. the subroutine will check how many times each - entry in the global index space (1…mg) is specified in the input lists (1…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 no

      lidx

      lidx

      The optional argument lidx is available for those cases in which the user @@ -414,20 +431,21 @@ href="userhtmlse2.html#x4-70002.3.1">2.3.1.

      nl

      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 NI = nl global indices. +class="zplmr7m-">I gets assigned + a consecutive chunk of NI = nl global indices.

      repl

      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 @@ -464,23 +482,24 @@ class="cmtt-10">globalcheck=.true.,

    2. 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. +class="cmtt-10">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.

    3. -

      Orphan and overlap indices are impossible by construction when the subroutine - is invoked with

      Orphan and overlap indices are impossible by construction when the + subroutine is invoked with nl (alone), or vg.

    -

    6.2 6.2 psb_cdins — Communication descriptor insert routine

    @@ -494,77 +513,85 @@ call psb_cdins(nz,ja,desc,info[,jla,mask,lidx]) 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. +class="zplmr7m-">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:

    Type:

    Asynchronous.

    On Entry

    On Entry

    nz

    nz

    the number of points being inserted.
    Scope: local.
    local.
    Type: required.
    required.
    Intent: in.
    in.
    Specified as: an integer value.

    ia

    ia

    the indices of the starting vertex of the edges being inserted.
    Scope: local.
    local.
    Type: required.
    required.
    Intent: in.
    in.
    Specified as: an integer array of length nz. +class="zplmr7m-">nz.

    ja

    ja

    the indices of the end vertex of the edges being inserted.
    Scope: local.
    local.
    Type: required.
    required.
    Intent: in.
    in.
    Specified as: an integer array of length nz. +class="zplmr7m-">nz.

    mask

    mask

    Mask entries in ja, they are inserted only when the corresponding mask entries are .true.
    Scope: local.
    local.
    Type: optional.
    optional.
    Intent: in.
    in.
    Specified as: a logical array of length nz, default nz, default .true..

    lidx

    lidx

    User defined local indices for ja.
    Scope: local.
    local.
    Type: optional.
    optional.
    Intent: in.
    in.
    Specified as: an integer array of length nz.

    +class="zplmr7m-">nz.

    On Return

    On Return

    desc_a

    desc_a

    the updated communication descriptor.
    Scope:local.
    local.
    Type:required.
    required.
    Intent: inout.
    inout.
    Specified as: a structured data of type psb_type.

    info

    info

    Error code.
    Scope: local
    local
    Type: required
    required
    Intent: out.
    out.
    An integer value; 0 means no error has been detected. @@ -639,34 +666,34 @@ class="newline" />An integer value; 0 means no error has been detected.

    ila

    ila

    the local indices of the starting vertex of the edges being inserted.
    Scope: local.
    local.
    Type: optional.
    optional.
    Intent: out.
    out.
    Specified as: an integer array of length nz. +class="zplmr7m-">nz.

    jla

    jla

    the local indices of the end vertex of the edges being inserted.
    Scope: local.
    local.
    Type: optional.
    optional.
    Intent: out.
    out.
    Specified as: an integer array of length nz. +class="zplmr7m-">nz.

    Notes +class="pplb7t-x-x-120">Notes

    1. @@ -686,7 +713,7 @@ href="userhtmlse2.html#x4-70002.3.1">2.3.1.< -

      6.3 6.3 psb_cdasb — Communication descriptor assembly routine

      @@ -699,28 +726,28 @@ call psb_cdasb(desc_a, info [, mold])

      Type:

      Type:

      Synchronous.

      On Entry

      On Entry

      desc_a

      desc_a

      the communication descriptor.
      Scope:local.
      local.
      Type:required.
      required.
      Intent: inout.
      inout.
      Specified as: a structured data of type psb_type.

      mold

      mold

      The desired dynamic type for the internal index storage.
      Scope: local.
      local.
      Type: optional.
      optional.
      Intent: in.
      Specified as: a object of type derived from (integer) +class="pplb7t-">in.
      Specified as: a object of type derived from (integer) psb_type.

      On Return

      On Return

      desc_a

      desc_a

      the communication descriptor.
      Scope:local.
      local.
      Type:required.
      required.
      Intent: inout.
      inout.
      Specified as: a structured data of type psb_type.

      info

      info

      Error code.
      Scope: local
      local
      Type: required
      required
      Intent: out.
      out.
      An integer value; 0 means no error has been detected.

      Notes +class="pplb7t-x-x-120">Notes

      1. @@ -807,7 +834,7 @@ class="cmtt-10">psb_cdasb. -

        6.4 6.4 psb_cdcpy — Copies a communication descriptor

        @@ -820,28 +847,28 @@ call psb_cdcpy(desc_in, desc_out, info)

        Type:

        Type:

        Asynchronous.

        On Entry

        On Entry

        desc_in

        desc_in

        the communication descriptor.
        Scope:local.
        local.
        Type:required.
        required.
        Intent: in.
        in.
        Specified as: a structured data of type psb_type.

        On Return

        On Return

        desc_out

        desc_out

        the communication descriptor copy.
        Scope:local.
        local.
        Type:required.
        required.
        Intent: out.
        out.
        Specified as: a structured data of type psb_type.

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        -

        6.5 6.5 psb_cdfree — Frees a communication descriptor

        @@ -905,28 +932,28 @@ call psb_cdfree(desc_a, info)

        Type:

        Type:

        Synchronous.

        On Entry

        On Entry

        desc_a

        desc_a

        the communication descriptor to be freed.
        Scope:local.
        local.
        Type:required.
        required.
        Intent: inout.
        inout.
        Specified as: a structured data of type psb_type.

        On Return

        On Return

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        -

        6.6 6.6 psb_cdbldext — Build an extended communication descriptor

        @@ -964,48 +991,48 @@ class="newline" />An integer value; 0 means no error has been detected.

        -

        This subroutine builds an extended communication descriptor, based on the input -descriptor

        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:

        Type:

        Synchronous.

        On Entry

        On Entry

        a

        a

        A sparse matrix Scope:local.
        local.
        Type:required.
        required.
        Intent: in.
        in.
        Specified as: a structured data type.

        desc_a

        desc_a

        the communication descriptor.
        Scope:local.
        local.
        Type:required.
        required.
        Intent: in.
        in.
        Specified as: a structured data of type psb_type.

        nl

        nl

        the number of additional layers desired.
        Scope:global.
        global.
        Type:required.
        required.
        Intent: in.
        in.
        Specified as: an integer value nl ≥ 0. +class="zplmr7m-">nl ≥ 0.

        extype

        extype

        the kind of estension required.
        Scope:global.
        global.
        Type:optional .
        optional .
        Intent: in.
        in.
        Specified as: an integer value psb_ovt_xhal_, psb_ovt_asov_, default: @@ -1051,22 +1078,22 @@ class="cmtt-10">psb_ovt_xhal_

        On Return

        On Return

        desc_out

        desc_out

        the extended communication descriptor.
        Scope:local.
        local.
        Type:required.
        required.
        Intent: inout.
        inout.
        Specified as: a structured data of type psb_type.

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        Notes +class="pplb7t-x-x-120">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; +class="cmtt-10">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. @@ -1111,7 +1138,7 @@ class="cmtt-10">extype argument the user will obtain -

          6.7 6.7 psb_spall — Allocates a sparse matrix

          @@ -1124,28 +1151,28 @@ call psb_spall(a, desc_a, info [, nnz, 

          Type:

          Type:

          Synchronous.

          On Entry

          On Entry

          desc_a

          desc_a

          the communication descriptor.
          Scope:local.
          local.
          Type:required.
          required.
          Intent: in.
          in.
          Specified as: a structured data of type psb_type.

          nnz

          nnz

          An estimate of the number of nonzeroes in the local part of the assembled matrix.
          Scope: global.
          global.
          Type: optional.
          optional.
          Intent: in.
          in.
          Specified as: an integer value.

          dupl

          dupl

          How to handle duplicate coefficients.
          Scope: global.
          global.
          Type: optional.
          optional.
          Intent: in.
          in.
          Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_, @@ -1188,17 +1215,17 @@ class="cmtt-10">psb_dupl_err_.

          bldmode

          bldmode

          Whether to keep track of matrix entries that do not belong to the current process.
          Scope: global.
          global.
          Type: optional.
          optional.
          Intent: in.
          Specified as: +class="pplb7t-">in.
          Specified as: an integer value psb_matbld_noremote_, psb_matbld_remote_. Default: @@ -1208,21 +1235,21 @@ class="cmtt-10">psb_matbld_noremote_.

          On Return

          On Return

          a

          a

          the matrix to be allocated.
          Scope:local
          local
          Type:required
          required
          Intent: out.
          out.
          Specified as: a structured data of type psb_type.

          info

          info

          Error code.
          Scope: local
          local
          Type: required
          required
          Intent: out.
          out.
          An integer value; 0 means no error has been detected.

          Notes +class="pplb7t-x-x-120">Notes

          1. @@ -1258,7 +1285,7 @@ class="cmbx-12">Notes

          2. Providing a good estimate for the number of nonzeroes nnz in the +class="zplmr7m-">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; @@ -1271,7 +1298,7 @@ class="cmtt-10">psb_matbld_remote_ is likely to cause a -

            6.8 6.8 psb_spins — Insert a set of coefficients into a sparse matrix

            @@ -1285,53 +1312,53 @@ call psb_spins(nr, irw, irp, ja, val, 

            Type:

            Type:

            Asynchronous.

            On Entry

            On Entry

            nz

            nz

            the number of coefficients to be inserted.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: an integer scalar.

            nr

            nr

            the number of rows to be inserted.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: an integer scalar.

            irw

            irw

            the first row to be inserted.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: an integer scalar. @@ -1339,74 +1366,75 @@ class="newline" />Specified as: an integer scalar.

            ia

            ia

            the row indices of the coefficients to be inserted.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: an integer array of size nz. +class="zplmr7m-">nz.

            irp

            irp

            the row pointers of the coefficients to be inserted.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: an integer array of size nr + 1. +class="zplmr7m-">nr + 1.

            ja

            ja

            the column indices of the coefficients to be inserted.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: an integer array of size nz. +class="zplmr7m-">nz.

            val

            val

            the coefficients to be inserted.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: an array of size nz. Must be of the same type and kind of - the coefficients of the sparse matrix a. +class="zplmr7m-">nz. Must be of the same type and kind of the + coefficients of the sparse matrix a.

            desc_a

            desc_a

            The communication descriptor.
            Scope: local.
            local.
            Type: required.
            required.
            Intent: inout.
            inout.
            Specified as: a variable of type psb

            local

            local
            -

            Whether the entries in the indices vectors ia, ja are already in local +

            Whether the entries in the indices vectors ia, ja are already in local numbering.
            Scope:local.
            local.
            Type:optional.
            optional.
            Specified as: a logical value; default: .false..

            @@ -1436,21 +1464,21 @@ class="cmtt-10">.false..

            On Return

            On Return

            a

            a

            the matrix into which coefficients will be inserted.
            Scope:local
            local
            Type:required
            required
            Intent: inout.
            inout.
            Specified as: a structured data of type             psb_type.

            desc_a

            desc_a

            The communication descriptor.
            Scope: local.
            local.
            Type: required.
            required.
            Intent: inout.
            inout.
            Specified as: a variable of type psb

            info

            info

            Error code.
            Scope: local
            local
            Type: required
            required
            Intent: out.
            out.
            An integer value; 0 means no error has been detected.

            Notes +class="pplb7t-x-x-120">Notes

            1. -

              On entry to this routine the descriptor may be in either the build or +

              On entry to this routine the descriptor may be in either the build or assembled state.

            2. psb_cdins class="enumerate" id="x11-85010x5">

              In COO format the coefficients to be inserted are represented by the ordered triples ia(i),ja(i),val(i), for i = 1,…,nz; these triples are +class="zplmr7m-">ia(i), ja(i), val(i), for i = 1, …, nz; these triples are arbitrary;

            3. 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 +class="zplmr7m-">i = 1, nr + are represented by the ordered triples (i + irw- 1), ja(j), val(j), for j = j = irp(i),…,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 +class="zplmr7m-">irp(i), …, 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;

            4. -1 should be one of the local indices, but are otherwise
            5. -

              Coefficients from matrix rows not owned by the calling process are treated - according to the value of bldmode specified at allocation time; if bldmode - was chosen as psb_matbld_remote_ the library will keep track of them, - otherwise they are silently ignored; +

              Coefficients from matrix rows not owned by the calling process are + treated according to the value of bldmode specified at allocation time; if + bldmode was chosen as psb_matbld_remote_ the library will keep track + of them, otherwise they are silently ignored;

            6. @@ -1598,7 +1646,7 @@ class="cmtt-10">psb_matbld_remote_ the library will keep tr -

              6.9 6.9 psb_spasb — Sparse matrix assembly routine

              @@ -1611,28 +1659,28 @@ call psb_spasb(a, desc_a, info [, afmt,

              Type:

              Type:

              Synchronous.

              On Entry

              On Entry

              desc_a

              desc_a

              the communication descriptor.
              Scope:local.
              local.
              Type:required.
              required.
              Intent: in/out.
              in/out.
              Specified as: a structured data of type psb_type.

              afmt

              afmt

              the storage format for the sparse matrix.
              Scope: local.
              local.
              Type: optional.
              optional.
              Intent: in.
              in.
              Specified as: an array of characters. Defalt: ’CSR’.

              upd

              upd

              Provide for updates to the matrix coefficients.
              Scope: global.
              global.
              Type: optional.
              optional.
              Intent: in.
              in.
              Specified as: integer, possible values: psb_upd_srch_, psb_upd_perm_

              mold

              mold

              The desired dynamic type for the internal matrix storage.
              Scope: local.
              local.
              Type: optional.
              optional.
              Intent: in.
              in.
              Specified as: an object of a class derived from psb_mat.

              On Return

              On Return

              a

              a

              the matrix to be assembled.
              Scope:local
              local
              Type:required
              required
              Intent: inout.
              inout.
              Specified as: a structured data of type psb_type.

              desc_a

              desc_a

              the communication descriptor.
              Scope:local.
              local.
              Type:required.
              required.
              Intent: in/out.
              in/out.
              Specified as: a structured data of type psbbldmode=psb_matbld_remote_, then the descri

              info

              info

              Error code.
              Scope: local
              local
              Type: required
              required
              Intent: out.
              out.
              An integer value; 0 means no error has been detected.

              Notes +class="pplb7t-x-x-120">Notes

              1. -

                On entry to this routine the descriptor must be in the assembled state, - i.e.

                On entry to this routine the descriptor must be in the assembled state, i.e. + psb_cdasb must already have been called. @@ -1764,17 +1812,18 @@ class="cmtt-10">psb_cdasb must already have been called.

              2. -

                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; +

                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;

              3. -

                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; +

                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;

              4. @@ -1782,23 +1831,23 @@ class="cmtt-10">psb_spins
              5. -

                On exit from this routine the matrix is in the assembled state, and thus - is suitable for the computational routines; +

                On exit from this routine the matrix is in the assembled state, and thus is + suitable for the computational routines;

              6. If the bldmode=psb_matbld_remote_ value was specified at allocation time, contributions defined on the current process but belonging to a - remote process will be handled accordingly. This is most likely to occur in - finite element applications, with dupl=psb_dupl_add_; it is necessary to - check for possible updates needed in the descriptor, hence there will be a - runtime overhead.

              + remote process will be handled accordingly. This is most likely to occur + in finite element applications, with dupl=psb_dupl_add_; it is necessary + to check for possible updates needed in the descriptor, hence there will + be a runtime overhead.
            -

            6.10 6.10 psb_spfree — Frees a sparse matrix

            @@ -1811,27 +1860,27 @@ call psb_spfree(a, desc_a, info)

            Type:

            Type:

            Synchronous.

            On Entry

            On Entry

            a

            a

            the matrix to be freed.
            Scope:local
            local
            Type:required
            required
            Intent: inout.
            inout.
            Specified as: a structured data of type psb_type.

            desc_a

            desc_a

            the communication descriptor.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: a structured data of type psb_type.

            On Return

            On Return

            info

            info

            Error code.
            Scope: local
            local
            Type: required
            required
            Intent: out.
            out.
            An integer value; 0 means no error has been detected.

            -

            6.11 6.11 psb_sprn — Reinit sparse matrix structure for psblas routines.

            @@ -1894,27 +1943,27 @@ call psb_sprn(a, decsc_a, info, clear)

            Type:

            Type:

            Synchronous.

            On Entry

            On Entry

            a

            a

            the matrix to be reinitialized.
            Scope:local
            local
            Type:required
            required
            Intent: inout.
            inout.
            Specified as: a structured data of type psb_type.

            desc_a

            desc_a

            the communication descriptor.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: a structured data of type psb_type.

            clear

            clear

            Choose whether to zero out matrix coefficients
            Scope:local.
            local.
            Type:optional.
            optional.
            Intent: in.
            in.
            Default: true.

            @@ -1958,24 +2007,24 @@ class="newline" />Default: true.

        On Return

        On Return

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        Notes +class="pplb7t-x-x-120">Notes

        1. @@ -1983,7 +2032,7 @@ class="cmbx-12">Notes -

          6.12 6.12 psb_geall — Allocates a dense matrix

          @@ -1996,28 +2045,28 @@ call psb_geall(x, desc_a, info[, dupl, bldmod

          Type:

          Type:

          Synchronous.

          On Entry

          On Entry

          desc_a

          desc_a

          The communication descriptor.
          Scope: local
          local
          Type: required
          required
          Intent: in.
          in.
          Specified as: a variable of type psb

          n

          n

          The number of columns of the dense matrix to be allocated.
          Scope: local
          local
          Type: optional
          optional
          Intent: in.
          in.
          Specified as: Integer scalar, default 1. It is not a valid argument if x is a +class="zplmr7m-">x is a rank-1 array.

          lb

          lb

          The lower bound for the column index range of the dense matrix to be allocated.
          Scope: local
          local
          Type: optional
          optional
          Intent: in.
          in.
          Specified as: Integer scalar, default 1. It is not a valid argument if x is a +class="zplmr7m-">x is a rank-1 array. @@ -2061,15 +2110,15 @@ class="cmmi-10">x is a

          dupl

          dupl

          How to handle duplicate coefficients.
          Scope: global.
          global.
          Type: optional.
          optional.
          Intent: in.
          in.
          Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_; @@ -2078,17 +2127,17 @@ class="cmtt-10">psb_dupl_err_ has no effect.

          bldmode

          bldmode

          Whether to keep track of matrix entries that do not belong to the current process.
          Scope: global.
          global.
          Type: optional.
          optional.
          Intent: in.
          Specified as: +class="pplb7t-">in.
          Specified as: an integer value psb_matbld_noremote_, psb_matbld_remote_. Default: @@ -2098,21 +2147,21 @@ class="cmtt-10">psb_matbld_noremote_.

          On Return

          On Return

          x

          x

          The dense matrix to be allocated.
          Scope: local
          local
          Type: required
          required
          Intent: out.
          out.
          Specified as: a rank one or two array with the ALLOCATABLE attribute or an object of type

          info

          info

          Error code.
          Scope: local
          local
          Type: required
          required
          Intent: out.
          out.
          An integer value; 0 means no error has been detected.

          Notes +class="pplb7t-x-x-120">Notes

          1. @@ -2148,7 +2197,7 @@ class="cmtt-10">psb_matbld_remote_ is likely to cause a -

            6.13 6.13 psb_geins — Dense matrix insertion routine

            @@ -2161,59 +2210,61 @@ call psb_geins(m, irw, val, x, desc_a, 

            Type:

            Type:

            Asynchronous.

            On Entry

            On Entry

            m

            m

            Number of rows in val to be inserted.
            val to be inserted.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: an integer value.

            irw

            irw

            Indices of the rows to be inserted. Specifically, row i of val will be +class="zplmr7m-">i of val will be inserted into the local row corresponding to the global row index irw(i). +class="zplmr7m-">irw(i). Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: an integer array.

            val

            val

            the dense submatrix to be inserted.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: a rank 1 or 2 array. Specified as: an integer value. @@ -2221,16 +2272,16 @@ class="newline" />Specified as: a rank 1 or 2 array. Specified as: an integer va

            desc_a

            desc_a

            the communication descriptor.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: a structured data of type psb_type.

            local

            local

            Whether the entries in the index vector irw, are already in local numbering.
            Scope:local.
            local.
            Type:optional.
            optional.
            Specified as: a logical value; default: .false..

            @@ -2255,21 +2306,21 @@ class="cmtt-10">.false..

            On Return

            On Return

            x

            x

            the output dense matrix.
            Scope: local
            local
            Type: required
            required
            Intent: inout.
            inout.
            Specified as: a rank one or two array or an object of type

            info

            info

            Error code.
            Scope: local
            local
            Type: required
            required
            Intent: out.
            out.
            An integer value; 0 means no error has been detected.

            Notes +class="pplb7t-x-x-120">Notes @@ -2303,12 +2354,12 @@ class="cmbx-12">Notes

          2. -

            Duplicate entries are either overwritten or added, there is no provision for - raising an error condition.

          +

          Duplicate entries are either overwritten or added, there is no provision + for raising an error condition.

        -

        6.14 6.14 psb_geasb — Assembly a dense matrix

        @@ -2321,28 +2372,28 @@ call psb_geasb(x, desc_a, info, mold)

        Type:

        Type:

        Synchronous.

        On Entry

        On Entry

        desc_a

        desc_a

        The communication descriptor.
        Scope: local
        local
        Type: required
        required
        Intent: in.
        in.
        Specified as: a variable of type psb

        mold

        mold

        The desired dynamic type for the internal vector storage.
        Scope: local.
        local.
        Type: optional.
        optional.
        Intent: in.
        in.
        Specified as: an object of a class derived from         psb_base_vect_type; this is only allowed when x is of type x is of type psb_T_type.

        On Return

        On Return

        x

        x

        The dense matrix to be assembled.
        Scope: local
        local
        Type: required
        required
        Intent: inout.
        Specified as: a rank one or two array with the ALLOCATABLE or an +class="pplb7t-">inout.
        Specified as: a rank one or two array with the ALLOCATABLE or an object of type psb

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        Notes +class="pplb7t-x-x-120">Notes

        1. -

          On entry to this routine the descriptor must be in the assembled state, - i.e.

          On entry to this routine the descriptor must be in the assembled state, i.e. + psb_cdasb must already have been called.

        2. psb_cdasb must already have been called.

          If the bldmode=psb_matbld_remote_ value was specified at allocation time, contributions defined on the current process but belonging to a - remote process will be handled accordingly. This is most likely to occur in - finite element applications, with dupl=psb_dupl_add_.

        -

        6.15 6.15 psb_gefree — Frees a dense matrix

        @@ -2451,28 +2502,28 @@ call psb_gefree(x, desc_a, info)

        Type:

        Type:

        Synchronous.

        On Entry

        On Entry

        x

        x

        The dense matrix to be freed.
        Scope: local
        local
        Type: required
        required
        Intent: inout.
        Specified as: a rank one or two array with the ALLOCATABLE or an +class="pplb7t-">inout.
        Specified as: a rank one or two array with the ALLOCATABLE or an object of type psb

        desc_a

        desc_a

        The communication descriptor.
        Scope: local
        local
        Type: required
        required
        Intent: in.
        in.
        Specified as: a variable of type         psb

        On Return

        On Return

        @@ -2512,20 +2563,20 @@ class="description">

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        -

        6.16 6.16 psb_gelp — Applies a left permutation to a dense matrix

        @@ -2538,61 +2589,61 @@ call psb_gelp(trans, iperm, x, info)

        Type:

        Type:

        Asynchronous.

        On Entry

        On Entry

        trans

        trans

        A character that specifies whether to permute A or AT.
        A or AT.
        Scope: local
        local
        Type: required
        required
        Intent: in.
        in.
        Specified as: a single character with value ’N’ for A or ’T’ for AT.
        A or ’T’ for AT.

        iperm

        iperm

        An integer array containing permutation information.
        Scope: local
        local
        Type: required
        required
        Intent: in.
        in.
        Specified as: an integer one-dimensional array.

        x

        x

        The dense matrix to be permuted.
        Scope: local
        local
        Type: required
        required
        Intent: inout.
        inout.
        Specified as: a one or two dimensional array.

        @@ -2602,26 +2653,26 @@ class="newline" />

        On Return

        On Return

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        -

        6.17 6.17 psb_glob_to_loc — Global to local indices convertion

        @@ -2635,42 +2686,42 @@ call psb_glob_to_loc(x, desc_a, info, iact,owned)

        Type:

        Type:

        Asynchronous.

        On Entry

        On Entry

        x

        x

        An integer vector of indices to be converted.
        Scope: local
        local
        Type: required
        required
        Intent: in, inout.
        in, inout.
        Specified as: a rank one integer array.

        desc_a

        desc_a

        the communication descriptor.
        Scope:local.
        local.
        Type:required.
        required.
        Intent: in.
        in.
        Specified as: a structured data of type psb_type.

        iact

        iact

        specifies action to be taken in case of range errors. Scope: global
        global
        Type: optional
        optional
        Intent: in.
        in.
        Specified as: a character variable Ignore, Warning or Ignore.

        owned

        owned

        Specfies valid range of input Scope: global
        global
        Type: optional
        optional
        Intent: in.
        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.

        + considered valid, if false then halo indices are also accepted. Default: + false.

        On Return

        On Return

        x

        x
        -

        If y is not present, then x is overwritten with the translated integer indices. - Scope: global

        If y is not present, then x is overwritten with the translated integer + indices. Scope: global
        Type: required
        required
        Intent: inout.
        inout.
        Specified as: a rank one integer array.

        y

        y

        If y is present, then y is overwritten with the translated integer indices, +class="zplmr7m-">y is present, then y is overwritten with the translated integer indices, and x is left unchanged. Scope: global
        x is left unchanged. Scope: global
        Type: optional
        optional
        Intent: out.
        out.
        Specified as: a rank one integer array.

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        Notes +class="pplb7t-x-x-120">Notes

        1. -

          If an input index is out of range, then the corresponding output index is - set to a negative number; +

          If an input index is out of range, then the corresponding output index is + set to a negative number;

        2. -

          The default Ignore means that the negative output is the only action +

          The default Ignore means that the negative output is the only action taken on an out-of-range input.

        -

        6.18 6.18 psb_loc_to_glob — Local to global indices conversion

        @@ -2792,42 +2844,42 @@ call psb_loc_to_glob(x, desc_a, info, iact)

        Type:

        Type:

        Asynchronous.

        On Entry

        On Entry

        x

        x

        An integer vector of indices to be converted.
        Scope: local
        local
        Type: required
        required
        Intent: in, inout.
        in, inout.
        Specified as: a rank one integer array.

        desc_a

        desc_a

        the communication descriptor.
        Scope:local.
        local.
        Type:required.
        required.
        Intent: in.
        in.
        Specified as: a structured data of type psb_type.

        iact

        iact

        specifies action to be taken in case of range errors. Scope: global
        global
        Type: optional
        optional
        Intent: in.
        in.
        Specified as: a character variable Ignore, Warning or Ignore.

        On Return

        On Return

        x

        x
        -

        If y is not present, then x is overwritten with the translated integer indices. - Scope: global

        If y is not present, then x is overwritten with the translated integer + indices. Scope: global
        Type: required
        required
        Intent: inout.
        inout.
        Specified as: a rank one integer array.

        y

        y
        -

        If y is not present, then y is overwritten with the translated integer indices, - and x is left unchanged. Scope: global

        If y is not present, then y is overwritten with the translated integer + indices, and x is left unchanged. Scope: global
        Type: optional
        optional
        Intent: out.
        out.
        Specified as: a rank one integer array.

        info

        info

        Error code.
        Scope: local
        local
        Type: required
        required
        Intent: out.
        out.
        An integer value; 0 means no error has been detected.

        -

        6.19 6.19 psb_is_owned —

        @@ -2919,42 +2971,42 @@ call psb_is_owned(x, desc_a)

        Type:

        Type:

        Asynchronous.

        On Entry

        On Entry

        x

        x

        Integer index.
        Scope: local
        local
        Type: required
        required
        Intent: in.
        in.
        Specified as: a scalar integer.

        desc_a

        desc_a

        the communication descriptor.
        Scope:local.
        local.
        Type:required.
        required.
        Intent: in.
        in.
        Specified as: a structured data of type psb_type.

        On Return

        On Return

        Function value

        Function value

        A logical mask which is true if x is owned by the current process Scope: +class="zplmr7m-">x is owned by the current process Scope: local
        local
        Type: required
        required
        Intent: out.
        out.

        Notes +class="pplb7t-x-x-120">Notes

        1. @@ -2995,7 +3047,7 @@ class="cmtt-10">.true. value for an index that is strictly -

          6.20 6.20 psb_owned_index —

          @@ -3008,42 +3060,42 @@ call psb_owned_index(y, x, desc_a, info)

          Type:

          Type:

          Asynchronous.

          On Entry

          On Entry

          x

          x

          Integer indices.
          Scope: local
          local
          Type: required
          required
          Intent: in, inout.
          in, inout.
          Specified as: a scalar or a rank one integer array.

          desc_a

          desc_a

          the communication descriptor.
          Scope:local.
          local.
          Type:required.
          required.
          Intent: in.
          in.
          Specified as: a structured data of type psb_type.

          iact

          iact

          specifies action to be taken in case of range errors. Scope: global
          global
          Type: optional
          optional
          Intent: in.
          in.
          Specified as: a character variable Ignore, Warning or Ignore.

          On Return

          On Return

          y

          y

          A logical mask which is true for all corresponding entries of x that are +class="zplmr7m-">x that are owned by the current process Scope: local
          local
          Type: required
          required
          Intent: out.
          out.
          Specified as: a scalar or rank one logical array.

          info

          info

          Error code.
          Scope: local
          local
          Type: required
          required
          Intent: out.
          out.
          An integer value; 0 means no error has been detected.

          Notes +class="pplb7t-x-x-120">Notes

          1. -

            This routine returns a .true. value for those indices that are strictly +

            This routine returns a .true. value for those indices that are strictly owned by the current process, excluding the halo indices

          -

          6.21 6.21 psb_is_local —

          @@ -3126,42 +3178,42 @@ call psb_is_local(x, desc_a)

          Type:

          Type:

          Asynchronous.

          On Entry

          On Entry

          x

          x

          Integer index.
          Scope: local
          local
          Type: required
          required
          Intent: in.
          in.
          Specified as: a scalar integer.

          desc_a

          desc_a

          the communication descriptor.
          Scope:local.
          local.
          Type:required.
          required.
          Intent: in.
          in.
          Specified as: a structured data of type psb_type.

          On Return

          On Return

          Function value

          Function value

          A logical mask which is true if x is local to the current process Scope: +class="zplmr7m-">x is local to the current process Scope: local
          local
          Type: required
          required
          Intent: out.
          out.

          Notes +class="pplb7t-x-x-120">Notes

          1. @@ -3202,7 +3254,7 @@ class="cmtt-10">.true. value for an index that is local to -

            6.22 6.22 psb_local_index —

            @@ -3215,42 +3267,42 @@ call psb_local_index(y, x, desc_a, info)

            Type:

            Type:

            Asynchronous.

            On Entry

            On Entry

            x

            x

            Integer indices.
            Scope: local
            local
            Type: required
            required
            Intent: in, inout.
            in, inout.
            Specified as: a scalar or a rank one integer array.

            desc_a

            desc_a

            the communication descriptor.
            Scope:local.
            local.
            Type:required.
            required.
            Intent: in.
            in.
            Specified as: a structured data of type psb_type.

            iact

            iact

            specifies action to be taken in case of range errors. Scope: global
            global
            Type: optional
            optional
            Intent: in.
            in.
            Specified as: a character variable Ignore, Warning or Ignore.

            On Return

            On Return

            y

            y

            A logical mask which is true for all corresponding entries of x that are +class="zplmr7m-">x that are local to the current process Scope: local
            local
            Type: required
            required
            Intent: out.
            out.
            Specified as: a scalar or rank one logical array.

            info

            info

            Error code.
            Scope: local
            local
            Type: required
            required
            Intent: out.
            out.
            An integer value; 0 means no error has been detected.

            Notes +class="pplb7t-x-x-120">Notes

            1. @@ -3320,7 +3372,7 @@ class="cmtt-10">.true. value for those indices that are loc -

              6.23 6.23 psb_get_boundary — Extract list of boundary elements

              @@ -3333,27 +3385,27 @@ call psb_get_boundary(bndel, desc, info)

              Type:

              Type:

              Asynchronous.

              On Entry

              On Entry

              desc

              desc

              the communication descriptor.
              Scope:local.
              local.
              Type:required.
              required.
              Intent: in.
              in.
              Specified as: a structured data of type psb_type.

              On Return

              On Return

              bndel

              bndel

              The list of boundary elements on the calling process, in local numbering.
              Scope: local
              local
              Type: required
              required
              Intent: out.
              out.
              Specified as: a rank one array with the ALLOCATABLE attribute, of type integer.

              info

              info

              Error code.
              Scope: local
              local
              Type: required
              required
              Intent: out.
              out.
              An integer value; 0 means no error has been detected.

              Notes +class="pplb7t-x-x-120">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” + graph is self-contained) the output vector is set to the “not allocated” state.

              2. bndel will be exactly equal to the nu -

                6.24 6.24 psb_get_overlap — Extract list of overlap elements

                @@ -3427,27 +3479,27 @@ call psb_get_overlap(ovrel, desc, info)

                Type:

                Type:

                Asynchronous.

                On Entry

                On Entry

                desc

                desc

                the communication descriptor.
                Scope:local.
                local.
                Type:required.
                required.
                Intent: in.
                in.
                Specified as: a structured data of type psb_type.

                On Return

                On Return

                ovrel

                ovrel

                The list of overlap elements on the calling process, in local numbering.
                Scope: local
                local
                Type: required
                required
                Intent: out.
                out.
                Specified as: a rank one array with the ALLOCATABLE attribute, of type integer.

                info

                info

                Error code.
                Scope: local
                local
                Type: required
                required
                Intent: out.
                out.
                An integer value; 0 means no error has been detected.

                Notes +class="pplb7t-x-x-120">Notes

                1. @@ -3507,7 +3559,7 @@ class="cmtt-10">ovrel will be exactly equal to the number o -

                  6.25 6.25 psb_sp_getrow — Extract row(s) from a sparse matrix

                  @@ -3521,41 +3573,41 @@ call psb_sp_getrow(row, a, nz, ia, ja, 

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  row

                  row

                  The (first) row to be extracted.
                  Scope:local
                  local
                  Type:required
                  required
                  Intent: in.
                  in.
                  Specified as: an integer > 0. +class="zplmr7m-">> 0.

                  a

                  a

                  the matrix from which to get rows.
                  Scope:local
                  local
                  Type:required
                  required
                  Intent: in.
                  in.
                  Specified as: a structured data of type psb_type.

                  append

                  append

                  Whether to append or overwrite existing output.
                  Scope:local
                  local
                  Type:optional
                  optional
                  Intent: in.
                  in.
                  Specified as: a logical value default: false (overwrite). @@ -3580,123 +3632,124 @@ class="newline" />Specified as: a logical value default: false (overwrite).

                  nzin

                  nzin

                  Input size to be appended to.
                  Scope:local
                  local
                  Type:optional
                  optional
                  Intent: in.
                  in.
                  Specified as: an integer > 0. When append is true, specifies how many +class="zplmr7m-">> 0. When append is true, specifies how many entries in the output vectors are already filled.

                  lrw

                  lrw

                  The last row to be extracted.
                  Scope:local
                  local
                  Type:optional
                  optional
                  Intent: in.
                  in.
                  Specified as: an integer > 0, default: row. +class="zplmr7m-">> 0, default: row.

                  On Return

                  On Return

                  nz

                  nz

                  the number of elements returned by this call.
                  Scope:local.
                  local.
                  Type:required.
                  required.
                  Intent: out.
                  out.
                  Returned as: an integer scalar.

                  ia

                  ia

                  the row indices.
                  Scope:local.
                  local.
                  Type:required.
                  required.
                  Intent: inout.
                  inout.
                  Specified as: an integer array with the ALLOCATABLE attribute.

                  ja

                  ja

                  the column indices of the elements to be inserted.
                  Scope:local.
                  local.
                  Type:required.
                  required.
                  Intent: inout.
                  inout.
                  Specified as: an integer array with the ALLOCATABLE attribute.

                  val

                  val

                  the elements to be inserted.
                  Scope:local.
                  local.
                  Type:required.
                  required.
                  Intent: inout.
                  inout.
                  Specified as: a real array with the ALLOCATABLE attribute.

                  info

                  info

                  Error code.
                  Scope: local
                  local
                  Type: required
                  required
                  Intent: out.
                  out.
                  An integer value; 0 means no error has been detected.

                  Notes +class="pplb7t-x-x-120">Notes

                  1. The output nz is always the size of the output generated by the current +class="zplmr7m-">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 +class="zplmr7m-">nzin + nz, with the newly extracted coefficients stored in entries nzin+1:nzin+nz of the array arguments; @@ -3715,7 +3768,7 @@ class="cmtt-10">psb_loc_to_glob routine on the output.

                    2. -

                    6.26 6.26 psb_sizeof — Memory occupation

                    This function computes the memory occupation of a PSBLAS object. @@ -3731,28 +3784,28 @@ isz = psb_sizeof(prec)

                    Type:

                    Type:

                    Asynchronous.

                    On Entry

                    On Entry

                    a

                    a

                    A sparse matrix A.
                    A.
                    Scope: local
                    local
                    Type: required
                    required
                    Intent: in.
                    in.
                    Specified as: a structured data of type psb_type.

                    desc_a

                    desc_a

                    Communication descriptor.
                    Scope: local
                    local
                    Type: required
                    required
                    Intent: in.
                    in.
                    Specified as: a structured data of type psb_type.

                    prec

                    prec

                    Scope: local
                    local
                    Type: required
                    required
                    Intent: in.
                    in.
                    Specified as: a preconditioner data structure psb_type.

                    On Return

                    On Return

                    Function value

                    Function value

                    The memory occupation of the object specified in the calling sequence, in bytes.
                    Scope: local
                    local
                    Returned as: an integer(psb_long_int_k_) number.

                    -

                    6.27 6.27 Sorting utilities —

                    psb_msort — Sorting by the Merge-sort algorithm +class="pplb7t-x-x-120">psb_msort — Sorting by the Merge-sort algorithm

                    psb_qsort — Sorting by the Quicksort algorithm +class="pplb7t-x-x-120">psb_qsort — Sorting by the Quicksort algorithm

                    psb_hsort — Sorting by the Heapsort algorithm +class="pplb7t-x-x-120">psb_hsort — Sorting by the Heapsort algorithm @@ -3836,57 +3889,57 @@ call psb_hsort(x,ix,dir,flag)

                    These serial routines sort a sequence X into ascending or descending order. The +class="zplmr7m-">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:

                    Type:

                    Asynchronous.

                    On Entry

                    On Entry

                    x

                    x

                    The sequence to be sorted.
                    Type:required.
                    required.
                    Specified as: an integer, real or complex array of rank 1.

                    ix

                    ix

                    A vector of indices.
                    Type:optional.
                    optional.
                    Specified as: an integer array of (at least) the same size as X. +class="zplmr7m-">X.

                    dir

                    dir

                    The desired ordering.
                    Type:optional.
                    optional.
                    Specified as: an integer value:

                    Integer and real data:

                    Integer and real data:

                    psb_sort_up_, psb_sort_down_, psb_sort_up_, psb_sort_down_, psb_asort_up_, psb_asort_down_; default psb_sort_up_.

                    Complex data:

                    Complex data:

                    psb_lsort_up_, psb_lsort_down_, psb_lsort_up_, psb_lsort_down_, psb_asort_up_, psb_asort_down_; default psb_lsort_up_.

                    flag

                    flag

                    Whether to keep the original values in IX.
                    IX.
                    Type:optional.
                    optional.
                    Specified as: an integer value psb_sort_ovw_idx_ or psb_sort_keep_idx_; @@ -3925,31 +3978,31 @@ class="cmtt-10">psb_sort_ovw_idx_.

                    On Return

                    On Return

                    x

                    x

                    The sequence of values, in the chosen ordering.
                    Type:required.
                    required.
                    Specified as: an integer, real or complex array of rank 1.

                    ix

                    ix

                    A vector of indices.
                    Type: Optional
                    Optional
                    An integer array of rank 1, whose entries are moved to the same position as the corresponding entries in x.

                    +class="zplmr7m-">x.

                    Notes +class="pplb7t-x-x-120">Notes

                    1. @@ -3967,85 +4020,104 @@ class="cmbx-12">Notes
                    2. -

                      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; +

                      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;

                    3. If flag = psb_sort_ovw_idx_ then the entries in ix(1 : n) where n is the size +class="zplmr7m-">flag = psb_sort_ovw_idx_ then the entries in ix(1 : n) where n is the size of x are initialized to ix(i) ← i; thus, upon return from the subroutine, +class="zplmr7m-">x are initialized to ix(i) ← i; thus, upon return from the subroutine, for each index i we have in ix(i) the position that the item x(i) occupied +class="zplmr7m-">i we have in ix(i) the position that the item x(i) occupied in the original data sequence;

                    4. If flag = psb_sort_keep_idx_ the routine will assume that the entries in +class="zplmr7m-">flag = psb_sort_keep_idx_ the routine will assume that the entries in ix(:) have already been initialized by the user; +class="zplmr7m-">ix(:) have already been initialized by the user;

                    5. The three sorting algorithms have a similar O(nlog n) expected running time; +class="zplmr7m-">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(n2); the algorithm - implemented here follows the well-known median-of-three heuristics, - but the worst case may still apply; +

                        The worst case running time + for quicksort is O(n2); the algorithm implemented here follows the + well-known median-of-three heuristics, but the worst case may still + apply;

                      2. The worst case running time for merge-sort and heap-sort is O(nlog n) as the average case; +class="zplmr7m-">O(n log n) as the average case;

                      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.

                      + 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.
                  diff --git a/docs/html/userhtmlse7.html b/docs/html/userhtmlse7.html index 6e245159..04c4c5dc 100644 --- a/docs/html/userhtmlse7.html +++ b/docs/html/userhtmlse7.html @@ -16,12 +16,12 @@ href="userhtmlse6.html" >prev] [prev-tail] [tail] [up]

                  -

                  7 7 Parallel environment routines

                  -

                  7.1 7.1 psb_init — Initializes PSBLAS parallel environment

                  @@ -35,61 +35,63 @@ parallel machine.

                  Type:

                  Type:

                  Synchronous.

                  On Entry

                  On Entry

                  np

                  np

                  Number of processes in the PSBLAS virtual parallel machine.
                  Scope: global.
                  global.
                  Type: optional.
                  optional.
                  Intent: in.
                  in.
                  Specified as: an integer value.  Default: use all available processes.

                  basectxt

                  basectxt

                  the initial communication context. The new context will be defined from the processes participating in the initial one.
                  Scope: global.
                  global.
                  Type: optional.
                  optional.
                  Intent: in.
                  in.
                  Specified as: an integer value.  Default: use MPI_COMM_WORLD.

                  ids

                  ids
                  -

                  Identities of the processes to use for the new context; the argument is +

                  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.
                  global.
                  Type: optional.
                  optional.
                  Intent: in.
                  Specified as: an integer array.  Default: use the indices (0…np - 1).

                  +class="pplb7t-">in.
                  Specified as: an integer array.  Default: use the indices (0…np- 1). @@ -97,29 +99,29 @@ class="cmsy-10">- 1).

                  On Return

                  On Return

                  ctxt

                  ctxt
                  -

                  the communication context identifying the virtual parallel machine, type - psb_ctxt_type. Note that this is always a duplicate of

                  the communication context identifying the virtual parallel machine, + type psb_ctxt_type. Note that this is always a duplicate of basectxt, so that library communications are completely separated from other communication operations.
                  Scope: global.
                  global.
                  Type: required.
                  required.
                  Intent: out.
                  out.
                  Specified as: an integer variable.

                  Notes +class="pplb7t-x-x-120">Notes

                  1. @@ -128,12 +130,12 @@ class="cmbx-12">Notes

                  2. It is an error to specify a value for np greater than the number of processes +class="zplmr7m-">np greater than the number of processes available in the underlying base parallel environment.

                  -

                  7.2 7.2 psb_info — Return information about PSBLAS parallel environment

                  @@ -147,82 +149,82 @@ defining a virtual parallel machine.

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  ctxt

                  ctxt

                  the communication context identifying the virtual parallel machine.
                  Scope: global.
                  global.
                  Type: required.
                  required.
                  Intent: in.
                  in.
                  Specified as: an integer variable.

                  On Return

                  On Return

                  iam

                  iam

                  Identifier of current process in the PSBLAS virtual parallel machine.
                  Scope: local.
                  local.
                  Type: required.
                  required.
                  Intent: out.
                  out.
                  Specified as: an integer value. -1 ≤ iam ≤ np - 1  +class="zplmr7y-">-1 ≤ iam ≤ np- 1 

                  np

                  np

                  Number of processes in the PSBLAS virtual parallel machine.
                  Scope: global.
                  global.
                  Type: required.
                  required.
                  Intent: out.
                  out.
                  Specified as: an integer variable.  

                  Notes +class="pplb7t-x-x-120">Notes

                  1. -

                    For processes in the virtual parallel machine the identifier will satisfy +

                    For processes in the virtual parallel machine the identifier will satisfy 0 ≤ iam ≤ np - 1; +class="zplmr7y-">≤ iam ≤ np- 1;

                  2. @@ -230,15 +232,16 @@ class="cmsy-10">- 1; class="cmtt-10">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 iam = -1; the only call involving ctxt that any such process may execute is to psb_exit.
                  -

                  7.3 7.3 psb_exit — Exit from PSBLAS parallel environment

                  @@ -252,53 +255,54 @@ call psb_exit(ctxt,close)

                  Type:

                  Type:

                  Synchronous.

                  On Entry

                  On Entry

                  ctxt

                  ctxt

                  the communication context identifying the virtual parallel machine.
                  Scope: global.
                  global.
                  Type: required.
                  required.
                  Intent: in.
                  in.
                  Specified as: an integer variable.

                  close

                  close
                  -

                  Whether to close all data structures related to the virtual parallel machine, - besides those associated with ctxt.

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

                  Notes +class="pplb7t-x-x-120">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

                    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 ctxt in this situation. @@ -315,15 +319,16 @@ class="cmtt-10">MPI_Finalize, class="enumerate" id="x12-108006x3">

                    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 + 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=.false., while on the last call it should be called with - close=.true. to shutdown in a clean way the entire parallel environment.

                  +class="cmtt-10">close=.true. to shutdown in a clean way the entire parallel + environment.
                -

                7.4 7.4 psb_get_mpi_comm — Get the MPI communicator

                @@ -337,57 +342,57 @@ context

                Type:

                Type:

                Asynchronous.

                On Entry

                On Entry

                ctxt

                ctxt

                the communication context identifying the virtual parallel machine.
                Scope: global.
                global.
                Type: required.
                required.
                Intent: in.
                in.
                Specified as: an integer variable.

                On Return

                On Return

                Function value

                Function value

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

                Notes The subroutine version Notes The subroutine version psb_get_mpicomm is still available but is deprecated. -

                7.5 7.5 psb_get_mpi_rank — Get the MPI rank

                @@ -397,81 +402,81 @@ rank = psb_get_mpi_rank(ctxt, id)

                This function returns the MPI rank of the PSBLAS process id +class="zplmr7m-">id

                Type:

                Type:

                Asynchronous.

                On Entry

                On Entry

                ctxt

                ctxt

                the communication context identifying the virtual parallel machine.
                Scope: global.
                global.
                Type: required.
                required.
                Intent: in.
                in.
                Specified as: an integer variable.

                id

                id

                Identifier of a process in the PSBLAS virtual parallel machine.
                Scope: local.
                local.
                Type: required.
                required.
                Intent: in.
                in.
                Specified as: an integer value. 0 ≤ id ≤ np - 1 

                +class="zplmr7y-">≤ id ≤ np- 1 

                On Return

                On Return

                Funciton value

                Funciton value

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

                Notes The subroutine version Notes The subroutine version psb_get_rank is still available but is deprecated. -

                7.6 7.6 psb_wtime — Wall clock timing

                @@ -485,19 +490,19 @@ on the underlying parallel environment implementation.

                Type:

                Type:

                Asynchronous.

                On Exit

                On Exit

                Function value

                Function value

                the elapsed time in seconds.
                Returned as: a real(psb_dpk_) variable.

                -

                7.7 7.7 psb_barrier — Sinchronization point parallel environment

                @@ -519,32 +524,32 @@ virtual machine.

                Type:

                Type:

                Synchronous.

                On Entry

                On Entry

                ctxt

                ctxt

                the communication context identifying the virtual parallel machine.
                Scope: global.
                global.
                Type: required.
                required.
                Intent: in.
                in.
                Specified as: an integer variable.

                -

                7.8 7.8 psb_abort — Abort a computation

                @@ -557,32 +562,32 @@ call psb_abort(ctxt)

                Type:

                Type:

                Asynchronous.

                On Entry

                On Entry

                ctxt

                ctxt

                the communication context identifying the virtual parallel machine.
                Scope: global.
                global.
                Type: required.
                required.
                Intent: in.
                in.
                Specified as: an integer variable.

                -

                7.9 7.9 psb_bcast — Broadcast data

                @@ -596,80 +601,82 @@ communication library.

                Type:

                Type:

                Synchronous.

                On Entry

                On Entry

                ctxt

                ctxt

                the communication context identifying the virtual parallel machine.
                Scope: global.
                global.
                Type: required.
                required.
                Intent: in.
                in.
                Specified as: an integer variable.

                dat

                dat

                On the root process, the data to be broadcast.
                Scope: global.
                global.
                Type: required.
                required.
                Intent: inout.
                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 + a scalar or rank 1 array.  Type, kind, rank and size must agree on all processes.

                root

                root

                Root process holding data to be broadcast.
                Scope: global.
                global.
                Type: optional.
                optional.
                Intent: in.
                in.
                Specified as: an integer value 0 <= root <= np - 1, default 0   +class="zplmr7m-"><= root <= np- 1, default 0  

                mode

                mode

                Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
                Scope: global.
                global.
                Type: optional.
                optional.
                Intent: in.
                in.
                Specified as: an integer value. The action to be taken is determined by - its bit fields, which can be set with bitwise OR. Basic action values are + its bit fields, which can be set with bitwise OR. Basic action values are psb_collective_start_, psb_collective_end_. Default: both fields are @@ -678,15 +685,15 @@ class="newline" />

                request

                request

                A request variable to check for operation completion.
                Scope: local.
                local.
                Type: optional.
                optional.
                Intent: inout.
                inout.
                If mode does not specify synchronous completion, then this variable must be present.

                @@ -694,41 +701,41 @@ class="cmtt-10">mode does not specify synchronous completio

                On Return

                On Return

                dat

                dat

                On all processes other than root, the broadcasted data.
                Scope: global.
                global.
                Type: required.
                required.
                Intent: inout.
                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.

                request

                request

                A request variable to check for operation completion.
                Scope: local.
                local.
                Type: optional.
                optional.
                Intent: inout.
                inout.
                If mode does not specify synchronous completion, then this variable must be present.

                Notes +class="pplb7t-x-x-120">Notes

                1. @@ -756,7 +763,7 @@ class="cmtt-10">request argument needs not be specified: class="enumerate" id="x12-114006x3">

                  When splitting the operation in two calls, the dat argument must not be +class="pplri7t-">must not be accessed between calls:

                  @@ -771,7 +778,7 @@ class="cmti-10">must not be -

                  7.10 7.10 psb_sum — Global sum

                  @@ -785,80 +792,83 @@ communication library.

                  Type:

                  Type:

                  Synchronous.

                  On Entry

                  On Entry

                  ctxt

                  ctxt

                  the communication context identifying the virtual parallel machine.
                  Scope: global.
                  global.
                  Type: required.
                  required.
                  Intent: in.
                  in.
                  Specified as: an integer variable.

                  dat

                  dat

                  The local contribution to the global sum.
                  Scope: global.
                  global.
                  Type: required.
                  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. +class="pplb7t-">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

                  root

                  Process to hold the final sum, or -1 to make it available on all processes.
                  -1 to make it available on all processes.
                  Scope: global.
                  global.
                  Type: optional.
                  optional.
                  Intent: in.
                  in.
                  Specified as: an integer value -1 <= root <= np - 1, default -1.   +class="zplmr7y-">-1 <= root <= np- 1, default -1.  

                  mode

                  mode

                  Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
                  Scope: global.
                  global.
                  Type: optional.
                  optional.
                  Intent: in.
                  in.
                  Specified as: an integer value. The action to be taken is determined by - its bit fields, which can be set with bitwise OR. Basic action values are + its bit fields, which can be set with bitwise OR. Basic action values are psb_collective_start_, psb_collective_end_. Default: both fields are @@ -867,15 +877,15 @@ class="newline" />

                  request

                  request

                  A request variable to check for operation completion.
                  Scope: local.
                  local.
                  Type: optional.
                  optional.
                  Intent: inout.
                  inout.
                  If mode does not specify synchronous completion, then this variable must be present.

                  @@ -883,41 +893,41 @@ class="cmtt-10">mode does not specify synchronous completio

                  On Return

                  On Return

                  dat

                  dat

                  On destination process(es), the result of the sum operation.
                  Scope: global.
                  global.
                  Type: required.
                  required.
                  Intent: inout.
                  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.

                  request

                  request

                  A request variable to check for operation completion.
                  Scope: local.
                  local.
                  Type: optional.
                  optional.
                  Intent: inout.
                  inout.
                  If mode does not specify synchronous completion, then this variable must be present.

                  Notes +class="pplb7t-x-x-120">Notes

                  1. @@ -945,7 +955,7 @@ class="cmtt-10">request argument needs not be specified: class="enumerate" id="x12-115006x3">

                    When splitting the operation in two calls, the dat argument must not be +class="pplri7t-">must not be accessed between calls:

                    @@ -960,7 +970,7 @@ class="cmti-10">must not be -

                    7.11 7.11 psb_max — Global maximum

                    @@ -974,62 +984,64 @@ underlying communication library.

                    Type:

                    Type:

                    Synchronous.

                    On Entry

                    On Entry

                    ctxt

                    ctxt

                    the communication context identifying the virtual parallel machine.
                    Scope: global.
                    global.
                    Type: required.
                    required.
                    Intent: in.
                    in.
                    Specified as: an integer variable.

                    dat

                    dat

                    The local contribution to the global maximum.
                    Scope: local.
                    local.
                    Type: required.
                    required.
                    Intent: inout.
                    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

                    root
                    -

                    Process to hold the final maximum, or -1 to make it available on all +

                    Process to hold the final maximum, or -1 to make it available on all processes.
                    Scope: global.
                    global.
                    Type: optional.
                    optional.
                    Intent: in.
                    in.
                    Specified as: an integer value -1 <= root <= np - 1, default -1.
                    -1 <= root <= np- 1, default -1.
                    @@ -1037,19 +1049,19 @@ class="newline" />

                    mode

                    mode

                    Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
                    Scope: global.
                    global.
                    Type: optional.
                    optional.
                    Intent: in.
                    in.
                    Specified as: an integer value. The action to be taken is determined by - its bit fields, which can be set with bitwise OR. Basic action values are + its bit fields, which can be set with bitwise OR. Basic action values are psb_collective_start_, psb_collective_end_. Default: both fields are @@ -1058,15 +1070,15 @@ class="newline" />

                    request

                    request

                    A request variable to check for operation completion.
                    Scope: local.
                    local.
                    Type: optional.
                    optional.
                    Intent: inout.
                    inout.
                    If mode does not specify synchronous completion, then this variable must be present.

                    @@ -1074,35 +1086,35 @@ class="cmtt-10">mode does not specify synchronous completio

                    On Return

                    On Return

                    dat

                    dat

                    On destination process(es), the result of the maximum operation.
                    Scope: global.
                    global.
                    Type: required.
                    required.
                    Intent: in.
                    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.

                    request

                    request

                    A request variable to check for operation completion.
                    Scope: local.
                    local.
                    Type: optional.
                    optional.
                    Intent: inout.
                    inout.
                    If mode does not specify synchronous completion, then this variable must be present.

                    @@ -1110,7 +1122,7 @@ class="cmtt-10">mode does not specify synchronous completio

                    Notes +class="pplb7t-x-x-120">Notes

                    1. @@ -1138,7 +1150,7 @@ class="cmtt-10">request argument needs not be specified: class="enumerate" id="x12-116006x3">

                      When splitting the operation in two calls, the dat argument must not be +class="pplri7t-">must not be accessed between calls:

                      @@ -1153,7 +1165,7 @@ class="cmti-10">must not be -

                      7.12 7.12 psb_min — Global minimum

                      @@ -1167,61 +1179,63 @@ underlying communication library.

                      Type:

                      Type:

                      Synchronous.

                      On Entry

                      On Entry

                      ctxt

                      ctxt

                      the communication context identifying the virtual parallel machine.
                      Scope: global.
                      global.
                      Type: required.
                      required.
                      Intent: in.
                      in.
                      Specified as: an integer variable.

                      dat

                      dat

                      The local contribution to the global minimum.
                      Scope: local.
                      local.
                      Type: required.
                      required.
                      Intent: inout.
                      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

                      root

                      Process to hold the final value, or -1 to make it available on all processes.
                      -1 to make it available on all processes.
                      Scope: global.
                      global.
                      Type: optional.
                      optional.
                      Intent: in.
                      in.
                      Specified as: an integer value -1 <= root <= np - 1, default -1.
                      -1 <= root <= np- 1, default -1.
                      @@ -1229,19 +1243,19 @@ class="newline" />

                      mode

                      mode

                      Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
                      Scope: global.
                      global.
                      Type: optional.
                      optional.
                      Intent: in.
                      in.
                      Specified as: an integer value. The action to be taken is determined by - its bit fields, which can be set with bitwise OR. Basic action values are + its bit fields, which can be set with bitwise OR. Basic action values are psb_collective_start_, psb_collective_end_. Default: both fields are @@ -1250,15 +1264,15 @@ class="newline" />

                      request

                      request

                      A request variable to check for operation completion.
                      Scope: local.
                      local.
                      Type: optional.
                      optional.
                      Intent: inout.
                      inout.
                      If mode does not specify synchronous completion, then this variable must be present.

                      @@ -1266,41 +1280,41 @@ class="cmtt-10">mode does not specify synchronous completio

                      On Return

                      On Return

                      dat

                      dat

                      On destination process(es), the result of the minimum operation.
                      Scope: global.
                      global.
                      Type: required.
                      required.
                      Intent: inout.
                      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.

                      request

                      request

                      A request variable to check for operation completion.
                      Scope: local.
                      local.
                      Type: optional.
                      optional.
                      Intent: inout.
                      inout.
                      If mode does not specify synchronous completion, then this variable must be present.

                      Notes +class="pplb7t-x-x-120">Notes

                      1. @@ -1328,7 +1342,7 @@ class="cmtt-10">request argument needs not be specified: class="enumerate" id="x12-117006x3">

                        When splitting the operation in two calls, the dat argument must not be +class="pplri7t-">must not be accessed between calls:

                        @@ -1343,7 +1357,7 @@ class="cmti-10">must not be -

                        7.13 7.13 psb_amx — Global maximum absolute value

                        @@ -1352,66 +1366,69 @@ class="cmti-10">must not be call psb_amx(ctxt, dat [, root, mode, request])

                        -

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

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

                        Type:

                        Type:

                        Synchronous.

                        On Entry

                        On Entry

                        ctxt

                        ctxt

                        the communication context identifying the virtual parallel machine.
                        Scope: global.
                        global.
                        Type: required.
                        required.
                        Intent: in.
                        in.
                        Specified as: an integer variable.

                        dat

                        dat

                        The local contribution to the global maximum.
                        Scope: local.
                        local.
                        Type: required.
                        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. +class="pplb7t-">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

                        root

                        Process to hold the final value, or -1 to make it available on all processes.
                        -1 to make it available on all processes.
                        Scope: global.
                        global.
                        Type: optional.
                        optional.
                        Intent: in.
                        in.
                        Specified as: an integer value -1 <= root <= np - 1, default -1.
                        -1 <= root <= np- 1, default -1.
                        @@ -1419,19 +1436,19 @@ class="newline" />

                        mode

                        mode

                        Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
                        Scope: global.
                        global.
                        Type: optional.
                        optional.
                        Intent: in.
                        in.
                        Specified as: an integer value. The action to be taken is determined by - its bit fields, which can be set with bitwise OR. Basic action values are + its bit fields, which can be set with bitwise OR. Basic action values are psb_collective_start_, psb_collective_end_. Default: both fields are @@ -1440,15 +1457,15 @@ class="newline" />

                        request

                        request

                        A request variable to check for operation completion.
                        Scope: local.
                        local.
                        Type: optional.
                        optional.
                        Intent: inout.
                        inout.
                        If mode does not specify synchronous completion, then this variable must be present.

                        @@ -1456,43 +1473,41 @@ class="cmtt-10">mode does not specify synchronous completio

                        On Return

                        On Return

                        dat

                        dat

                        On destination process(es), the result of the maximum operation.
                        Scope: global.
                        global.
                        Type: required.
                        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. +class="pplb7t-">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.

                        request

                        request

                        A request variable to check for operation completion.
                        Scope: local.
                        local.
                        Type: optional.
                        optional.
                        Intent: inout.
                        inout.
                        If mode does not specify synchronous completion, then this variable must be present.

                        - - -

                        Notes +class="pplb7t-x-x-120">Notes

                        1. @@ -1520,7 +1535,7 @@ class="cmtt-10">request argument needs not be specified: class="enumerate" id="x12-118006x3">

                          When splitting the operation in two calls, the dat argument must not be +class="pplri7t-">must not be accessed between calls:

                          @@ -1535,7 +1550,7 @@ class="cmti-10">must not be -

                          7.14 7.14 psb_amn — Global minimum absolute value

                          @@ -1544,66 +1559,69 @@ class="cmti-10">must not be call psb_amn(ctxt, dat [, root, mode, request])

                          -

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

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

                          Type:

                          Type:

                          Synchronous.

                          On Entry

                          On Entry

                          ctxt

                          ctxt

                          the communication context identifying the virtual parallel machine.
                          Scope: global.
                          global.
                          Type: required.
                          required.
                          Intent: in.
                          in.
                          Specified as: an integer variable.

                          dat

                          dat

                          The local contribution to the global minimum.
                          Scope: local.
                          local.
                          Type: required.
                          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. +class="pplb7t-">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

                          root

                          Process to hold the final value, or -1 to make it available on all processes.
                          -1 to make it available on all processes.
                          Scope: global.
                          global.
                          Type: optional.
                          optional.
                          Intent: in.
                          in.
                          Specified as: an integer value -1 <= root <= np - 1, default -1.
                          -1 <= root <= np- 1, default -1.
                          @@ -1611,19 +1629,19 @@ class="newline" />

                          mode

                          mode

                          Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
                          Scope: global.
                          global.
                          Type: optional.
                          optional.
                          Intent: in.
                          in.
                          Specified as: an integer value. The action to be taken is determined by - its bit fields, which can be set with bitwise OR. Basic action values are + its bit fields, which can be set with bitwise OR. Basic action values are psb_collective_start_, psb_collective_end_. Default: both fields are @@ -1632,15 +1650,15 @@ class="newline" />

                          request

                          request

                          A request variable to check for operation completion.
                          Scope: local.
                          local.
                          Type: optional.
                          optional.
                          Intent: inout.
                          inout.
                          If mode does not specify synchronous completion, then this variable must be present.

                          @@ -1648,41 +1666,41 @@ class="cmtt-10">mode does not specify synchronous completio

                          On Return

                          On Return

                          dat

                          dat

                          On destination process(es), the result of the minimum operation.
                          Scope: global.
                          global.
                          Type: required.
                          required.
                          Intent: inout.
                          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.

                          request

                          request

                          A request variable to check for operation completion.
                          Scope: local.
                          local.
                          Type: optional.
                          optional.
                          Intent: inout.
                          inout.
                          If mode does not specify synchronous completion, then this variable must be present.

                          Notes +class="pplb7t-x-x-120">Notes

                          1. @@ -1710,7 +1728,7 @@ class="cmtt-10">request argument needs not be specified: class="enumerate" id="x12-119006x3">

                            When splitting the operation in two calls, the dat argument must not be +class="pplri7t-">must not be accessed between calls:

                            @@ -1725,7 +1743,7 @@ class="cmti-10">must not be -

                            7.15 7.15 psb_nrm2 — Global 2-norm reduction

                            @@ -1739,61 +1757,63 @@ underlying communication library.

                            Type:

                            Type:

                            Synchronous.

                            On Entry

                            On Entry

                            ctxt

                            ctxt

                            the communication context identifying the virtual parallel machine.
                            Scope: global.
                            global.
                            Type: required.
                            required.
                            Intent: in.
                            in.
                            Specified as: an integer variable.

                            dat

                            dat

                            The local contribution to the global minimum.
                            Scope: local.
                            local.
                            Type: required.
                            required.
                            Intent: inout.
                            Specified as: a real variable, which may be a scalar, or a rank 1 array. +class="pplb7t-">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.

                            root

                            root

                            Process to hold the final value, or -1 to make it available on all processes.
                            -1 to make it available on all processes.
                            Scope: global.
                            global.
                            Type: optional.
                            optional.
                            Intent: in.
                            in.
                            Specified as: an integer value -1 <= root <= np - 1, default -1.
                            -1 <= root <= np- 1, default -1.
                            @@ -1801,19 +1821,19 @@ class="newline" />

                            mode

                            mode

                            Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
                            Scope: global.
                            global.
                            Type: optional.
                            optional.
                            Intent: in.
                            in.
                            Specified as: an integer value. The action to be taken is determined by - its bit fields, which can be set with bitwise OR. Basic action values are + its bit fields, which can be set with bitwise OR. Basic action values are psb_collective_start_, psb_collective_end_. Default: both fields are @@ -1822,15 +1842,15 @@ class="newline" />

                            request

                            request

                            A request variable to check for operation completion.
                            Scope: local.
                            local.
                            Type: optional.
                            optional.
                            Intent: inout.
                            inout.
                            If mode does not specify synchronous completion, then this variable must be present.

                            @@ -1838,35 +1858,35 @@ class="cmtt-10">mode does not specify synchronous completio

                            On Return

                            On Return

                            dat

                            dat

                            On destination process(es), the result of the 2-norm reduction.
                            Scope: global.
                            global.
                            Type: required.
                            required.
                            Intent: inout.
                            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.

                            request

                            request

                            A request variable to check for operation completion.
                            Scope: local.
                            local.
                            Type: optional.
                            optional.
                            Intent: inout.
                            inout.
                            If mode does not specify synchronous completion, then this variable must be present.

                            @@ -1874,7 +1894,7 @@ class="cmtt-10">mode does not specify synchronous completio

                            Notes +class="pplb7t-x-x-120">Notes

                            1. @@ -1884,17 +1904,17 @@ class="cmbx-12">Notes

                            2. Denoting by dati the value of the variable dat on process i, the output res +class="zplmr7m-">dati the value of the variable dat on process i, the output res is equivalent to the computation of

                              ∘ ∑------ -res = dat2i, - i +src=

                              with care taken to avoid unnecessary overflow.

                              3. @@ -1924,7 +1944,7 @@ class="cmtt-10">request argument needs not be specified: class="enumerate" id="x12-120010x5">

                              When splitting the operation in two calls, the dat argument must not be +class="pplri7t-">must not be accessed between calls: @@ -1942,7 +1962,7 @@ class="cmti-10">must not be -

                              7.16 7.16 psb_snd — Send data

                              @@ -1955,62 +1975,64 @@ call psb_snd(ctxt, dat, dst, m)

                              Type:

                              Type:

                              Synchronous: see usage notes.

                              On Entry

                              On Entry

                              ctxt

                              ctxt

                              the communication context identifying the virtual parallel machine.
                              Scope: global.
                              global.
                              Type: required.
                              required.
                              Intent: in.
                              in.
                              Specified as: an integer variable.

                              dat

                              dat

                              The data to be sent.
                              Scope: local.
                              local.
                              Type: required.
                              required.
                              Intent: in.
                              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 +class="zplmr7m-">m is not specified, size must agree as well.

                              dst

                              dst

                              Destination process.
                              Scope: global.
                              global.
                              Type: required.
                              required.
                              Intent: in.
                              in.
                              Specified as: an integer value 0 <= dst <= np - 1.
                              <= dst <= np- 1.
                              @@ -2018,45 +2040,51 @@ class="newline" />

                              m

                              m

                              Number of rows.
                              Scope: global.
                              global.
                              Type: Optional.
                              Optional.
                              Intent: in.
                              in.
                              Specified as: an integer value 0 <= m <= size(dat,1).
                              <= m <= size(dat, 1).
                              When dat is a rank 2 array, specifies the number of rows to be sent +class="zplmr7m-">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 +class="zplmr7m-">size(dat, 1); must have the same value on sending and receiving processes.

                              On Return

                              On Return

                              Notes +class="pplb7t-x-x-120">Notes

                              1. This subroutine implies a synchronization, but only between the calling process and the destination process dst.

                              +class="zplmr7m-">dst.
                            -

                            7.17 7.17 psb_rcv — Receive data

                            @@ -2069,68 +2097,76 @@ call psb_rcv(ctxt, dat, src, m)

                            Type:

                            Type:

                            Synchronous: see usage notes.

                            On Entry

                            On Entry

                            ctxt

                            ctxt

                            the communication context identifying the virtual parallel machine.
                            Scope: global.
                            global.
                            Type: required.
                            required.
                            Intent: in.
                            in.
                            Specified as: an integer variable.

                            src

                            src

                            Source process.
                            Scope: global.
                            global.
                            Type: required.
                            required.
                            Intent: in.
                            in.
                            Specified as: an integer value 0 <= src <= np - 1.
                            <= src <= np- 1.

                            m

                            m

                            Number of rows.
                            Scope: global.
                            global.
                            Type: Optional.
                            Optional.
                            Intent: in.
                            in.
                            Specified as: an integer value 0 <= m <= size(dat,1).
                            <= m <= size(dat, 1).
                            When dat is a rank 2 array, specifies the number of rows to be sent +class="zplmr7m-">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 +class="zplmr7m-">size(dat, 1); must have the same value on sending and receiving processes.

                            @@ -2139,34 +2175,34 @@ class="cmmi-10">dat,1); must have the same

                            On Return

                            On Return

                            dat

                            dat

                            The data to be received.
                            Scope: local.
                            local.
                            Type: required.
                            required.
                            Intent: inout.
                            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 +class="zplmr7m-">m is not specified, size must agree as well.

                            Notes +class="pplb7t-x-x-120">Notes

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

                            +class="zplmr7m-">src.
                          diff --git a/docs/html/userhtmlse8.html b/docs/html/userhtmlse8.html index 2e6b2ff0..447f8627 100644 --- a/docs/html/userhtmlse8.html +++ b/docs/html/userhtmlse8.html @@ -16,21 +16,21 @@ href="userhtmlse7.html" >prev] [prev-tail] [tail] [up]

                          -

                          8 8 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; 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 @@ -100,7 +100,6 @@ class="cmtt-9">      info=      call psb_errpush      goto 9999 @@ -178,7 +175,6 @@ class="cmtt-9">      info=      call psb_errpush      goto 9999 @@ -246,7 +240,6 @@ class="cmtt-9">then class="cmtt-9">     call psb_error) class="cmtt-9">     return else class="cmtt-9">     return -

                      +


                  Listing 6: 
                  )

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  err_c

                  err_c

                  the error code
                  Scope: local
                  local
                  Type: required
                  required
                  Intent: in.
                  in.
                  Specified as: an integer.

                  r_name

                  r_name

                  the soutine where the error has been caught.
                  Scope: local
                  local
                  Type: required
                  required
                  Intent: in.
                  in.
                  Specified as: a string.

                  i_err

                  i_err

                  addional info for error code
                  Scope: local
                  local
                  Type: optional
                  optional
                  Specified as: an integer array

                  a_err

                  a_err

                  addional info for error code
                  Scope: local
                  local
                  Type: optional
                  optional
                  Specified as: a string.

                  -

                  8.2 8.2 psb_error — Prints the error stack content and aborts execution

                  )

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  icontxt

                  icontxt

                  the communication context.
                  Scope: global
                  global
                  Type: optional
                  optional
                  Intent: in.
                  in.
                  Specified as: an integer.

                  -

                  8.3 8.3 psb_set_errverbosity — Sets the verbosity of error messages

                  )

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  v

                  v

                  the verbosity level
                  Scope: global
                  global
                  Type: required
                  required
                  Intent: in.
                  in.
                  Specified as: an integer.

                  -

                  8.4 8.4 psb_set_erraction — Set the type of action to be taken upon error condition

                  @@ -537,28 +528,28 @@ class="cmtt-10">)

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  err_act

                  err_act

                  the type of action.
                  Scope: global
                  global
                  Type: required
                  required
                  Intent: in.
                  in.
                  Specified as: an integer. Possible values: psb_act_ret, psb_act_abort.

                  diff --git a/docs/html/userhtmlse9.html b/docs/html/userhtmlse9.html index f0fa9516..fba09a3a 100644 --- a/docs/html/userhtmlse9.html +++ b/docs/html/userhtmlse9.html @@ -16,7 +16,7 @@ href="userhtmlse8.html" >prev] [prev-tail] [tail] [up]

                  -

                  9 9 Utilities

                  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. -

                  9.1 9.1 hb_read — Read a sparse matrix from a file in the Harwell–Boeing format

                  @@ -50,53 +50,53 @@ class="cmtt-10">)

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  filename

                  filename

                  The name of the file to be read.
                  Type:optional.
                  Specified as: a character variable containing a valid file name, or -, in +class="pplb7t-">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

                  iunit

                  The Fortran file unit number.
                  Type:optional.
                  optional.
                  Specified as: an integer value. Only meaningful if filename is not -.

                  On Return

                  On Return

                  a

                  a

                  the sparse matrix read from file.
                  Type:required.
                  required.
                  Specified as: a structured data of type psb_type.

                  b

                  b

                  Rigth hand side(s).
                  Type: Optional
                  Optional
                  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

                  mtitle

                  Matrix title.
                  Type: Optional
                  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

                  iret

                  Error code.
                  Type: required
                  required
                  An integer value; 0 means no error has been detected.

                  -

                  9.2 9.2 hb_write — Write a sparse matrix to a file in the Harwell–Boeing format

                  @@ -166,23 +166,23 @@ class="cmtt-10">)

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  a

                  a

                  the sparse matrix to be written.
                  Type:required.
                  required.
                  Specified as: a structured data of type psb_type.

                  b

                  b

                  Rigth hand side.
                  Type: Optional
                  Optional
                  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

                  filename

                  The name of the file to be written to.
                  Type:optional.
                  Specified as: a character variable containing a valid file name, or -, in +class="pplb7t-">optional.
                  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: -.

                  iunit

                  iunit

                  The Fortran file unit number.
                  Type:optional.
                  optional.
                  Specified as: an integer value. Only meaningful if filename is not -. @@ -228,43 +228,43 @@ class="cmtt-10">-.

                  key

                  key

                  Matrix key.
                  Type: Optional
                  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

                  mtitle

                  Matrix title.
                  Type: Optional
                  Optional
                  A charachter variable of length 72 holding the matrix title as specified by the Harwell-Boeing format and to be written to file.

                  On Return

                  On Return

                  iret

                  iret

                  Error code.
                  Type: required
                  required
                  An integer value; 0 means no error has been detected.

                  -

                  9.3 9.3 mm_mat_read — Read a sparse matrix from a file in the MatrixMarket format

                  @@ -286,53 +286,53 @@ class="cmtt-10">)

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  filename

                  filename

                  The name of the file to be read.
                  Type:optional.
                  Specified as: a character variable containing a valid file name, or -, in +class="pplb7t-">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

                  iunit

                  The Fortran file unit number.
                  Type:optional.
                  optional.
                  Specified as: an integer value. Only meaningful if filename is not -.

                  On Return

                  On Return

                  a

                  a

                  the sparse matrix read from file.
                  Type:required.
                  required.
                  Specified as: a structured data of type psb_type.

                  iret

                  iret

                  Error code.
                  Type: required
                  required
                  An integer value; 0 means no error has been detected.

                  -

                  9.4 9.4 mm_array_read — Read a dense array from a file in the MatrixMarket format

                  @@ -375,54 +375,54 @@ class="cmtt-10">)

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  filename

                  filename

                  The name of the file to be read.
                  Type:optional.
                  Specified as: a character variable containing a valid file name, or -, in +class="pplb7t-">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

                  iunit

                  The Fortran file unit number.
                  Type:optional.
                  optional.
                  Specified as: an integer value. Only meaningful if filename is not -.

                  On Return

                  On Return

                  b

                  b

                  Rigth hand side(s).
                  Type: required
                  An array of type real or complex, rank 1 or 2 and having the +class="pplb7t-">required
                  An array of type real or complex, rank 1 or 2 and having the @@ -431,24 +431,24 @@ href="userhtmlse3.html#vdata">psb_T_vect_type, of - type real or complex.
                  _type, of type + real or complex.
                  Will be allocated and filled in if the input file contains a right hand side, otherwise will be left in the UNALLOCATED state.

                  iret

                  iret

                  Error code.
                  Type: required
                  required
                  An integer value; 0 means no error has been detected.

                  -

                  9.5 9.5 mm_mat_write — Write a sparse matrix to a file in the MatrixMarket format

                  @@ -472,23 +472,23 @@ class="cmtt-10">)

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  a

                  a

                  the sparse matrix to be written.
                  Type:required.
                  required.
                  Specified as: a structured data of type psb_type.

                  mtitle

                  mtitle

                  Matrix title.
                  Type: required
                  required
                  A charachter variable holding a descriptive title for the matrix to be written to file.

                  filename

                  filename

                  The name of the file to be written to.
                  Type:optional.
                  Specified as: a character variable containing a valid file name, or -, in +class="pplb7t-">optional.
                  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: -.

                  iunit

                  iunit

                  The Fortran file unit number.
                  Type:optional.
                  optional.
                  Specified as: an integer value. Only meaningful if filename is not -.

                  @@ -534,27 +534,27 @@ class="cmtt-10">-.

                  On Return

                  On Return

                  iret

                  iret

                  Error code.
                  Type: required
                  required
                  An integer value; 0 means no error has been detected.

                  Notes +class="pplb7t-x-x-120">Notes

                  If this function is called on a matrix a on a distributed communicator only the local part is written in output. To get a single MatrixMarket file with the whole matrix when appropriate, e.g. for debugging purposes, one could gather the whole +class="pplri7t-">gather the whole matrix on a single rank and then write it. Consider the following example for a double precision matrix +class="pplri7t-">double precision matrix

                  @@ -581,7 +581,7 @@ psb_i_t psb_c_<s,d,c,z>global_mat_write(ah,cdh); -

                  9.6 9.6 mm_array_write — Write a dense array from a file in the MatrixMarket format

                  @@ -605,23 +605,23 @@ class="cmtt-10">)

                  Type:

                  Type:

                  Asynchronous.

                  On Entry

                  On Entry

                  b

                  b

                  Rigth hand side(s).
                  Type: required
                  required
                  An array of type real or complex, rank 1 or 2, or an object of type

                  filename

                  filename

                  The name of the file to be written.

                  vtitle

                  vtitle

                  Matrix title.
                  Type: required
                  A charachter variable holding a descriptive title for the vector to be written - to file. Type:optional.
                  Specified as: a character variable containing a valid file name, or -, in +class="pplb7t-">required
                  A charachter variable holding a descriptive title for the vector to be + written to file. 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

                  iunit

                  The Fortran file unit number.
                  Type:optional.
                  optional.
                  Specified as: an integer value. Only meaningful if filename is not -.

                  On Return

                  On Return

                  iret

                  iret

                  Error code.
                  Type: required
                  required
                  An integer value; 0 means no error has been detected.

                  Notes +class="pplb7t-x-x-120">Notes

                  If this function is called on a vector v on a distributed communicator only the local part is written in output. To get a single MatrixMarket file with the whole vector when appropriate, e.g. for debugging purposes, one could gather the whole +class="pplri7t-">gather the whole vector on a single rank and then write it. Consider the following example for a double +class="pplri7t-">double precision vector

                  diff --git a/docs/psblas-3.9.pdf b/docs/psblas-3.9.pdf index f5ba78e8..3779ddf4 100644 --- a/docs/psblas-3.9.pdf +++ b/docs/psblas-3.9.pdf @@ -447,7 +447,7 @@ endobj /Type /ObjStm /N 100 /First 928 -/Length 16554 +/Length 16628 >> stream 403 0 407 48 408 376 411 424 412 766 415 814 416 1030 419 1078 420 1241 423 1283 @@ -457,9 +457,9 @@ stream 484 6009 487 6057 488 6218 491 6266 492 6442 495 6484 496 6593 499 6640 500 6994 503 7041 504 7435 507 7482 508 7853 511 7900 512 8366 515 8408 516 8489 519 8536 520 8990 523 9037 524 9483 527 9530 528 9986 531 10033 532 10489 535 10536 536 10992 539 11039 540 11505 543 11548 -544 11707 547 11755 548 11991 551 12039 552 12260 555 12308 556 12584 559 12632 560 12977 563 13025 -564 13271 567 13319 568 13525 571 13568 572 13697 575 13745 576 14035 579 14083 580 14423 583 14466 -584 14557 587 14605 588 14762 591 14810 592 15002 595 15050 596 15204 599 15252 600 15411 603 15454 +544 11707 547 11755 548 11991 551 12039 552 12280 555 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[(and)-250(Alfredo)-250(Buttari)]TJ/F84 9.9626 Tf 29.957 -11.955 Td [(Aug)-250(1st,)-250(2024)]TJ 0 g 0 G 0 g 0 G ET endstream endobj -663 0 obj +667 0 obj << /Type /XObject /Subtype /Image @@ -716,14 +716,14 @@ endobj /Height 480 /BitsPerComponent 8 /ColorSpace /DeviceRGB -/SMask 673 0 R +/SMask 677 0 R /Length 921600 >> stream ½ѳ򴴴ȳ賳޳Գ˳³ⳳٳϳ񴴴ų糳ܳӳɳ볳ೳ׳ͳﳳų䳳ڳѳ򴴴ȳ賳߳ճ˳³ⳳٳϳ񴴴ų糳ܳӳɳ볳ᳳ׳ͳﳳų䳳¿¿¿棟͙ͣͣͣͣȔŔŔŔŔŒą~xvpvpvpvpvpvphbf`f`f`f`f`b[WPWPWPWPWPWPLDH@H@H@H@H@F>9090909090900') ) ) ) ) ) ೳ7.%leڳ'vpB9賳ɳZS) vqֳA8ME䳳,#Ƴ|/&󴴴 {ӳe^VOᳳJBó4+𴴴5,г $aZ޳pj:2쳳WP̳%<4leڳ+"B9賳}wɳ) _Xvq׳G?ME䳳$$,#+"$Ƴ0'$JCfa~ʗ٨䵴︸︸︸︸︸︸ﯯ髪杛܊xtgbUOB;) /&󴴴2*gbڷ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸שׂ損vrYT=5{ӳ#IBԸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﳲ뒐lhH@#kd;3׸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﶶlgVOᳳid︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xtóPH"Ҹ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xt4+𴴴$ٸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xtг91Ҹ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xt ql︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xtaZ޳'<5︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xtwqָ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xt:2C<︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸xt̳ZSʸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ᎋyunigbd_d_hcrm|ɑԪ常︸︸︸︸︸︸︸︸︸︸︸︸︸xt%#츸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸UO*!) G?d_~ʩ常︸︸︸︸︸︸︸︸xtleڳB9IB︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸難F?;3idط︸︸︸︸xtmi︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﭬ/&) \V۸︸︸xtB9賳/&и︸︸︸︸︸︸︸︸︸︸︸︸︸︸TN;4{wŰxtɳ~޸︸︸︸︸︸︸︸︸︸︸︸︸︸ﮭ#91) 븸︸︸︸︸︸︸︸︸︸︸︸︸︸vq׳e_︸︸︸︸︸︸︸︸︸︸︸︸︸︸ ︸︸︸︸︸︸︸︸︸︸︸︸︸︸ME䳳JC︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴ$Ƴ︸︸︸︸︸︸︸︸︸︸︸︸︸︸rn/&󴴴5,㸸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷd_{ӳո︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸MF&so︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸難zvLE&VOᳳrlNH︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷ{w[U<5ó"츸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴ횘{w[U:24+𴴴WP}ɸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﱱ뎋idD=г;4︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﰰ}yE> <4˸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸難rn1)aZ޳*!游︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷ1)+"H@︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴoj:2~xUO︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸1)̳LE길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸שׂ<5%`Y3*ڸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﭬ4+leڳ`Z縸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ H@#hc丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸pkB9賳HA̵︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﴳ-$ɳ0'&QJ{wť⸸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸pk) 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丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸שׂJCC:ųe^丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷni]VH@泳丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸|$!JB丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸{wjcܳ丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[6-5,丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴ5-MEӳ丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸TM$󴴴$丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸G@* ɳqk丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸}yNHNHNHNHNHNHNHNHNHUO_Ylhѯ鸸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸}w80볳丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[UOݸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷ0'0'WP丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[rm︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸e_^V[Tೳ丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[mi︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸KD<4丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[ָ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﰰ1(|׳丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[A9︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸/&sm+"丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸C<(ͳ}w丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[|ȸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸SLjc/&ﳳ丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[lh︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸YTC;ų_X丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[`[︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[91IA䳳丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[gb︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸]WhbH@丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸`[tp︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸VP 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︸︸︸︸︸︸︸︸︸︸罹}yTM1)γ*!길︸︸︸︸︸︸︸ﵴ옖٘٘٘٘٠޴츸︸︸︸︸︸︸︸︸︸︸RK0'︸︸︸︸︸︸︸︸߸︸︸︸︸︸︸︸e_IB︸︸︸︸︸︸︸ﳳ#ݸ︸︸︸︸︸︸︸︸︸︸︸︸︸ﯮ鐍pkLE&2)zt길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷa\0'︸︸︸︸︸︸︸︸?7︸︸︸︸︸︸︸ﷷ0'縸︸︸︸︸︸︸︸XRWQ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷkf2*vp۳$길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸A90'︸︸︸︸︸︸︸︸xtø︸︸︸︸︸︸︸{wŸ︸︸︸︸︸︸︸ڸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸A9SK\U길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﵴxt6.0'︸︸︸︸︸︸︸︸踸︸︸︸︸︸︸︸`ZD=︸︸︸︸︸︸︸ﷷ/'.%游︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸#C;91¿길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﷷws0'︸︸︸︸︸︸︸︸PJ︸︸︸︸︸︸︸ﷷ*!常︸︸︸︸︸︸︸id/&ܸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸) zt/&7/7/7/7/7/;2SLSLSLSLSLSL`Ymfmfmfmfmfmf}șșșșșȧϭӭӭӭӭӮӾC;길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸0'︸︸︸︸︸︸︸︸и︸︸︸︸︸︸︸vr¸︸︸︸︸︸︸︸f`길︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸+""길︸︸︸︸︸︸︸ﵵࢡࢡࢡࢡࢡ੨嶶︸︸︸︸︸︸︸︸︸︸}y0'︸︸︸︸︸︸︸︸) ︸︸︸︸︸︸︸YT?7︸︸︸︸︸︸︸︸A9&`[ݸ︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ZT길︸︸︸︸︸︸︸藍 F?и︸︸︸︸︸︸︸︸︸A90'︸︸︸︸︸︸︸︸b]︸︸︸︸︸︸︸ﵴ&㸸︸︸︸︸︸︸︸{w0(YT˨丸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸藍=5賳A9길︸︸︸︸︸︸︸藍oj︸︸︸︸︸︸︸︸0'︸︸︸︸︸︸︸︸ܸ︸︸︸︸︸︸︸ql︸︸︸︸︸︸︸ﯯ ,#OItp߸︸︸︸︸︸︸︸︸︸︸︸︸5,길︸︸︸︸︸︸︸藍ุ︸︸︸︸︸︸︸ﵴ 0'︸︸︸︸︸︸︸︸80︸︸︸︸︸︸︸︸d_d_d_d_d_d_d_d_d_|xƸ︸︸︸︸︸︸︸︸SL0'c^常︸︸︸︸︸︸︸︸︸YTUNݳrl길︸︸︸︸︸︸︸藍rm︸︸︸︸︸︸︸︸>60'︸︸︸︸︸︸︸︸so︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸$׸︸︸︸︸︸︸︸︸je길︸︸︸︸︸︸︸藍_Y︸︸︸︸︸︸︸︸PI0'︸︸︸︸︸︸︸︸常︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸ﶶ*!4+︸︸︸︸︸︸︸︸vruoԳ길︸︸︸︸︸︸︸藍d_︸︸︸︸︸︸︸︸ZT0'︸︸︸︸︸︸︸︸JC︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸d_游︸︸︸︸︸︸︸ql%5-길︸︸︸︸︸︸︸藍}ɸ︸︸︸︸︸︸︸︸OI0'︸︸︸︸︸︸︸︸̸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸) b]"縸︸︸︸︸︸︸︸e_ʳ길︸︸︸︸︸︸︸藍) 길︸︸︸︸︸︸︸︸A90'︸︸︸︸︸︸︸︸%츸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸︸;30'ﭬje&:2︸︸︸︸︸︸︸︸WQ3*e^길︸︸︸︸︸︸︸藍)׸︸︸︸︸︸︸︸︸ﷷ) 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[-496(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.074 Td [(3.1.10)-700(psb)]TJ + 0 -12.071 Td [(3.1.10)]TJ 1.02 0 0 1 169.335 445.788 Tm [(psb)]TJ ET q -1 0 0 1 185.952 445.93 cm +1 0 0 1 185.968 445.987 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 188.941 445.731 Td [(cd)]TJ +/F84 9.9626 Tf 1.02 0 0 1 188.957 445.788 Tm [(cd)]TJ ET q -1 0 0 1 200.049 445.93 cm +1 0 0 1 200.275 445.987 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 203.038 445.731 Td [(get)]TJ +/F84 9.9626 Tf 1.02 0 0 1 203.264 445.788 Tm [(get)]TJ ET q -1 0 0 1 217.195 445.93 cm +1 0 0 1 217.692 445.987 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 220.184 445.731 Td [(lar)18(ge)]TJ +/F84 9.9626 Tf 1.02 0 0 1 220.681 445.788 Tm [(lar)18(ge)]TJ ET q -1 0 0 1 242.729 445.93 cm +1 0 0 1 243.668 445.987 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 245.718 445.731 Td [(thr)18(eshold)-190(\227)-190(Get)-190(thr)18(eshold)-190(for)-190(index)-190(map-)]TJ -76.084 -11.955 Td [(ping)-250(switch)]TJ +/F84 9.9626 Tf 1.02 0 0 1 246.657 445.788 Tm [(thr)18(eshold)-430(\227)-430(Get)-430(thr)18(eshold)-430(for)-430(index)]TJ 1 0 0 1 169.634 433.833 Tm [(mapping)-250(switch)]TJ 0 g 0 G - [-819(.)-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 + [-335(.)-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 [-1500(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.881 -12.074 Td [(3.1.11)-700(psb)]TJ + -31.881 -12.072 Td [(3.1.11)]TJ 0.98 0 0 1 169.335 421.761 Tm [(psb)]TJ ET q -1 0 0 1 185.952 421.901 cm +1 0 0 1 185.339 421.961 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 188.941 421.702 Td [(cd)]TJ +/F84 9.9626 Tf 0.98 0 0 1 188.328 421.761 Tm [(cd)]TJ ET q -1 0 0 1 200.049 421.901 cm +1 0 0 1 199.226 421.961 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 203.038 421.702 Td [(set)]TJ +/F84 9.9626 Tf 0.98 0 0 1 202.215 421.761 Tm [(set)]TJ ET q -1 0 0 1 215.88 421.901 cm +1 0 0 1 214.812 421.961 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 218.869 421.702 Td [(lar)18(ge)]TJ +/F84 9.9626 Tf 0.98 0 0 1 217.8 421.761 Tm [(lar)18(ge)]TJ ET q -1 0 0 1 241.414 421.901 cm +1 0 0 1 239.903 421.961 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 244.403 421.702 Td [(thr)18(eshold)-190(\227)-190(Set)-190(thr)18(eshold)-190(for)-190(index)-190(map-)]TJ -74.769 -11.955 Td [(ping)-250(switch)]TJ +/F84 9.9626 Tf 0.98 0 0 1 242.892 421.761 Tm [(thr)18(eshold)-215(\227)-215(Set)-215(thr)19(eshold)-215(for)-215(index)-215(map-)]TJ 1 0 0 1 169.335 409.806 Tm [(ping)-250(switch)]TJ 0 g 0 G - [-819(.)-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 + [-849(.)-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 [-1500(14)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.881 -12.074 Td [(3.1.12)-700(get)]TJ + -31.582 -12.071 Td [(3.1.12)-700(get)]TJ ET q -1 0 0 1 183.79 397.872 cm +1 0 0 1 183.79 397.934 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 186.779 397.673 Td [(p)]TJ +/F84 9.9626 Tf 186.779 397.735 Td [(p)]TJ ET q -1 0 0 1 193.364 397.872 cm +1 0 0 1 193.364 397.934 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 196.353 397.673 Td [(adjcncy)-250(\227)-250(Get)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ +/F84 9.9626 Tf 196.353 397.735 Td [(adjcncy)-250(\227)-250(Get)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ 0 g 0 G [-652(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -58.6 -12.074 Td [(3.1.13)-700(set)]TJ + -58.6 -12.072 Td [(3.1.13)-700(set)]TJ ET q -1 0 0 1 182.475 385.798 cm +1 0 0 1 182.475 385.863 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 185.464 385.599 Td [(p)]TJ +/F84 9.9626 Tf 185.464 385.663 Td [(p)]TJ ET q -1 0 0 1 192.049 385.798 cm +1 0 0 1 192.049 385.863 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 195.038 385.599 Td [(adjcncy)-250(\227)-250(Set)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ +/F84 9.9626 Tf 195.038 385.663 Td [(adjcncy)-250(\227)-250(Set)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ 0 g 0 G [-272(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -57.285 -12.074 Td [(3.1.14)-700(fnd)]TJ + -57.285 -12.071 Td [(3.1.14)-700(fnd)]TJ ET q -1 0 0 1 185.434 373.724 cm +1 0 0 1 185.434 373.791 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 188.423 373.524 Td [(owner)-250(\227)-250(Find)-250(the)-250(owner)-250(pr)18(ocess)-250(of)-250(a)-250(set)-250(of)-250(indices)]TJ +/F84 9.9626 Tf 188.423 373.592 Td [(owner)-250(\227)-250(Find)-250(the)-250(owner)-250(pr)18(ocess)-250(of)-250(a)-250(set)-250(of)-250(indices)]TJ 0 g 0 G [-361(.)]TJ 0 g 0 G [-1500(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -50.67 -12.074 Td [(3.1.15)-700(Named)-250(Constants)]TJ + -50.67 -12.071 Td [(3.1.15)-700(Named)-250(Constants)]TJ 0 g 0 G [-277(.)-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 [-1500(16)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -22.914 -12.074 Td [(3.2)-1050(Sparse)-250(Matrix)-250(class)]TJ + -22.914 -12.072 Td [(3.2)-1050(Sparse)-250(Matrix)-250(class)]TJ 0 g 0 G [-719(.)-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 [-1500(16)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 22.914 -12.074 Td [(3.2.1)-1200(Sparse)-250(Matrix)-250(Methods)]TJ + 22.914 -12.071 Td [(3.2.1)-1200(Sparse)-250(Matrix)-250(Methods)]TJ 0 g 0 G [-938(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(17)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.074 Td [(3.2.2)-1200(get)]TJ + 0 -12.071 Td [(3.2.2)-1200(get)]TJ ET q -1 0 0 1 183.79 325.427 cm +1 0 0 1 183.79 325.506 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 186.779 325.228 Td [(nr)18(ows)-250(\227)-250(Get)-250(number)-250(of)-250(r)18(ows)-250(in)-250(a)-250(sparse)-250(matrix)]TJ +/F84 9.9626 Tf 186.779 325.307 Td [(nr)18(ows)-250(\227)-250(Get)-250(number)-250(of)-250(r)18(ows)-250(in)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G [-286(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(17)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.026 -12.074 Td [(3.2.3)-1200(get)]TJ + -49.026 -12.072 Td [(3.2.3)-1200(get)]TJ ET q -1 0 0 1 183.79 313.353 cm +1 0 0 1 183.79 313.434 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 186.779 313.154 Td [(ncols)-250(\227)-250(Get)-250(number)-250(of)-250(columns)-250(in)-250(a)-250(sparse)-250(matrix)]TJ +/F84 9.9626 Tf 186.779 313.235 Td [(ncols)-250(\227)-250(Get)-250(number)-250(of)-250(columns)-250(in)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G [-670(.)]TJ 0 g 0 G [-1500(18)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.026 -12.074 Td [(3.2.4)-1200(get)]TJ + -49.026 -12.071 Td [(3.2.4)]TJ 1.02 0 0 1 169.634 301.164 Tm [(get)]TJ ET q -1 0 0 1 183.79 301.279 cm +1 0 0 1 184.062 301.363 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 186.779 301.08 Td [(nnzer)18(os)-190(\227)-190(Get)-190(number)-190(of)-190(nonzer)18(o)-190(elements)-190(in)-190(a)-190(sparse)]TJ -17.145 -11.955 Td [(matrix)]TJ +/F84 9.9626 Tf 1.02 0 0 1 187.05 301.164 Tm [(nnzer)18(os)-424(\227)-423(Get)-423(number)-424(of)-423(nonzer)18(o)-423(elements)-424(in)-423(a)]TJ 1 0 0 1 169.634 289.209 Tm [(sparse)-250(matrix)]TJ 0 g 0 G - [-839(.)-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 + [-766(.)-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 [-1500(18)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.881 -12.074 Td [(3.2.5)-1200(get)]TJ + -31.881 -12.072 Td [(3.2.5)]TJ 0.983 0 0 1 169.634 277.137 Tm [(get)]TJ ET q -1 0 0 1 183.79 277.25 cm +1 0 0 1 183.56 277.336 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 186.779 277.051 Td [(size)-354(\227)-354(Get)-355(maximum)-354(number)-354(of)-354(nonzer)18(o)-354(elements)]TJ -17.145 -11.955 Td [(in)-250(a)-250(sparse)-250(matrix)]TJ +/F84 9.9626 Tf 0.983 0 0 1 186.549 277.137 Tm [(size)-254(\227)-254(Get)-254(maximum)-254(number)-254(of)-254(nonzer)19(o)-254(elements)-254(in)]TJ 1 0 0 1 169.634 265.182 Tm [(a)-250(sparse)-250(matrix)]TJ 0 g 0 G - [-393(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-766(.)-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 [-1500(18)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.881 -12.074 Td [(3.2.6)-1200(sizeof)-206(\227)-205(Get)-206(memory)-205(occupation)-206(in)-205(bytes)-206(of)-205(a)-206(sparse)-205(ma-)]TJ 31.881 -11.956 Td [(trix)]TJ + -31.881 -12.071 Td [(3.2.6)]TJ 0.98 0 0 1 169.634 253.111 Tm [(sizeof)-239(\227)-239(Get)-239(memory)-239(occupation)-239(in)-239(bytes)-239(of)-239(a)-239(sparse)-239(matrix)]TJ 0 g 0 G - [-722(.)-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 - [-1500(19)]TJ + 1 0 0 1 433.644 253.111 Tm [(19)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.881 -12.074 Td [(3.2.7)-1200(get)]TJ + -295.891 -12.072 Td [(3.2.7)-1200(get)]TJ ET q -1 0 0 1 183.79 229.192 cm +1 0 0 1 183.79 241.239 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 186.779 228.992 Td [(fmt)-250(\227)-250(Short)-250(description)-250(of)-250(the)-250(dynamic)-250(type)]TJ +/F84 9.9626 Tf 186.779 241.039 Td [(fmt)-250(\227)-250(Short)-250(description)-250(of)-250(the)-250(dynamic)-250(type)]TJ 0 g 0 G [-278(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(19)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.026 -12.074 Td [(3.2.8)-1200(is)]TJ + -49.026 -12.071 Td [(3.2.8)-1200(is)]TJ ET q -1 0 0 1 177.355 217.117 cm +1 0 0 1 177.355 229.167 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 180.344 216.918 Td [(bld,)-250(is)]TJ +/F84 9.9626 Tf 180.344 228.968 Td [(bld,)-250(is)]TJ ET q -1 0 0 1 207.541 217.117 cm +1 0 0 1 207.541 229.167 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 210.53 216.918 Td [(upd,)-250(is)]TJ +/F84 9.9626 Tf 210.53 228.968 Td [(upd,)-250(is)]TJ ET q -1 0 0 1 241.314 217.117 cm +1 0 0 1 241.314 229.167 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 244.303 216.918 Td [(asb)-250(\227)-250(Status)-250(check)]TJ +/F84 9.9626 Tf 244.303 228.968 Td [(asb)-250(\227)-250(Status)-250(check)]TJ 0 g 0 G [-569(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(19)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -106.55 -12.074 Td [(3.2.9)-1200(is)]TJ + -106.55 -12.071 Td [(3.2.9)-1200(is)]TJ ET q -1 0 0 1 177.355 205.043 cm +1 0 0 1 177.355 217.096 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 180.344 204.844 Td [(lower)74(,)-250(is)]TJ +/F84 9.9626 Tf 180.344 216.897 Td [(lower)74(,)-250(is)]TJ ET q -1 0 0 1 217.663 205.043 cm +1 0 0 1 217.663 217.096 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 220.652 204.844 Td [(upper)74(,)-250(is)]TJ +/F84 9.9626 Tf 220.652 216.897 Td [(upper)74(,)-250(is)]TJ ET q -1 0 0 1 259.306 205.043 cm +1 0 0 1 259.306 217.096 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 262.295 204.844 Td [(triangle,)-250(is)]TJ +/F84 9.9626 Tf 262.295 216.897 Td [(triangle,)-250(is)]TJ ET q -1 0 0 1 309.069 205.043 cm +1 0 0 1 309.069 217.096 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 312.058 204.844 Td [(unit)-250(\227)-250(Format)-250(check)]TJ +/F84 9.9626 Tf 312.058 216.897 Td [(unit)-250(\227)-250(Format)-250(check)]TJ 0 g 0 G [-441(.)-500(.)]TJ 0 g 0 G [-1500(20)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -174.305 -12.074 Td [(3.2.10)-700(cscnv)-250(\227)-250(Convert)-250(to)-250(a)-250(dif)18(fer)18(ent)-250(storage)-250(format)]TJ + -174.305 -12.072 Td [(3.2.10)-700(cscnv)-250(\227)-250(Convert)-250(to)-250(a)-250(dif)18(fer)18(ent)-250(storage)-250(format)]TJ 0 g 0 G [-815(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(20)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.074 Td [(3.2.11)-700(csclip)-250(\227)-250(Reduce)-250(to)-250(a)-250(submatrix)]TJ + 0 -12.071 Td [(3.2.11)-700(csclip)-250(\227)-250(Reduce)-250(to)-250(a)-250(submatrix)]TJ 0 g 0 G [-358(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(21)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.074 Td [(3.2.12)-700(clean)]TJ + 0 -12.072 Td [(3.2.12)-700(clean)]TJ ET q -1 0 0 1 193.106 168.821 cm +1 0 0 1 193.106 180.882 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 196.094 168.622 Td [(zer)18(os)-250(\227)-250(Eliminate)-250(zer)18(o)-250(coef)18(\002cients)]TJ +/F84 9.9626 Tf 196.094 180.682 Td [(zer)18(os)-250(\227)-250(Eliminate)-250(zer)18(o)-250(coef)18(\002cients)]TJ 0 g 0 G [-677(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(21)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -58.341 -12.074 Td [(3.2.13)-700(get)]TJ + -58.341 -12.071 Td [(3.2.13)-700(get)]TJ ET q -1 0 0 1 183.79 156.747 cm +1 0 0 1 183.79 168.81 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 186.779 156.548 Td [(diag)-250(\227)-250(Get)-250(main)-250(diagonal)]TJ +/F84 9.9626 Tf 186.779 168.611 Td [(diag)-250(\227)-250(Get)-250(main)-250(diagonal)]TJ 0 g 0 G [-870(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(22)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.026 -12.074 Td [(3.2.14)-700(clip)]TJ + -49.026 -12.071 Td [(3.2.14)-700(clip)]TJ ET q -1 0 0 1 186.44 144.673 cm +1 0 0 1 186.44 156.739 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 189.429 144.474 Td [(diag)-250(\227)-250(Cut)-250(out)-250(main)-250(diagonal)]TJ +/F84 9.9626 Tf 189.429 156.54 Td [(diag)-250(\227)-250(Cut)-250(out)-250(main)-250(diagonal)]TJ 0 g 0 G [-309(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(22)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -51.676 -12.074 Td [(3.2.15)-700(tril)-250(\227)-250(Return)-250(the)-250(lower)-250(triangle)]TJ + -51.676 -12.072 Td [(3.2.15)-700(tril)-250(\227)-250(Return)-250(the)-250(lower)-250(triangle)]TJ 0 g 0 G [-292(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(22)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.074 Td [(3.2.16)-700(triu)-250(\227)-250(Return)-250(the)-250(upper)-250(triangle)]TJ + 0 -12.071 Td [(3.2.16)-700(triu)-250(\227)-250(Return)-250(the)-250(upper)-250(triangle)]TJ 0 g 0 G [-596(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(23)]TJ 0 g 0 G -0 g 0 G - 132.548 -29.888 Td [(i)]TJ -0 g 0 G -ET - -endstream -endobj -779 0 obj -<< -/Length 15896 ->> -stream -0 g 0 G -0 g 0 G 0 0 1 rg 0 0 1 RG -BT -/F62 9.9626 Tf 188.563 706.129 Td [(3.2.17)-700(psb)]TJ + 0 -12.071 Td [(3.2.17)-670(psb)]TJ ET q -1 0 0 1 236.762 706.328 cm +1 0 0 1 185.654 120.525 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 239.751 706.129 Td [(set)]TJ +/F84 9.9626 Tf 188.642 120.326 Td [(set)]TJ ET q -1 0 0 1 252.592 706.328 cm +1 0 0 1 201.484 120.525 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 255.581 706.129 Td [(mat)]TJ +/F84 9.9626 Tf 204.473 120.326 Td [(mat)]TJ ET q -1 0 0 1 273.205 706.328 cm +1 0 0 1 222.096 120.525 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 276.194 706.129 Td [(default)-250(\227)-250(Set)-250(default)-250(storage)-250(format)]TJ +/F84 9.9626 Tf 225.085 120.326 Td [(default)-250(\227)-250(Set)-250(default)-250(storage)-250(format)]TJ 0 g 0 G - [-829(.)-500(.)-500(.)-500(.)]TJ + [-859(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(24)]TJ 0 g 0 G +0 g 0 G + 45.216 -29.888 Td [(i)]TJ +0 g 0 G +ET + +endstream +endobj +783 0 obj +<< +/Length 15815 +>> +stream +0 g 0 G +0 g 0 G 0 0 1 rg 0 0 1 RG - -87.631 -12.08 Td [(3.2.18)-700(clone)-250(\227)-250(Clone)-250(curr)18(ent)-250(object)]TJ +BT +/F84 9.9626 Tf 188.563 706.129 Td [(3.2.18)-700(clone)-250(\227)-250(Clone)-250(curr)18(ent)-250(object)]TJ 0 g 0 G [-763(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1392,16 +1391,16 @@ BT [-1500(24)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -22.914 -12.079 Td [(3.3)-1050(Dense)-250(V)111(ector)-250(Data)-250(Str)8(uctur)18(e)]TJ + -22.914 -12.08 Td [(3.3)-1050(Dense)-250(V)111(ector)-250(Data)-250(Str)8(uctur)18(e)]TJ 0 g 0 G [-491(.)-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 [-1500(24)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 22.914 -12.08 Td [(3.3.1)-1200(V)111(ector)-250(Methods)]TJ + 22.914 -12.079 Td [(3.3.1)-1164(V)111(ector)-250(Methods)]TJ 0 g 0 G - [-535(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-571(.)-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 [-1500(25)]TJ 0 g 0 G @@ -1409,24 +1408,24 @@ BT 0 -12.08 Td [(3.3.2)-1200(get)]TJ ET q -1 0 0 1 234.6 645.93 cm +1 0 0 1 234.6 658.009 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 237.589 645.73 Td [(nr)18(ows)-250(\227)-250(Get)-250(number)-250(of)-250(r)18(ows)-250(in)-250(a)-250(dense)-250(vector)]TJ +/F84 9.9626 Tf 237.589 657.81 Td [(nr)18(ows)-250(\227)-250(Get)-250(number)-250(of)-250(r)18(ows)-250(in)-250(a)-250(dense)-250(vector)]TJ 0 g 0 G [-690(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(25)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.026 -12.079 Td [(3.3.3)-1200(sizeof)-226(\227)-227(Get)-226(memory)-227(occupation)-226(in)-226(bytes)-227(of)-226(a)-227(dense)-226(vector)]TJ + -49.026 -12.08 Td [(3.3.3)]TJ 0.99 0 0 1 220.443 645.73 Tm [(sizeof)-253(\227)-252(Get)-253(memory)-252(occupation)-253(in)-252(bytes)-253(of)-252(a)-253(dense)-252(vector)]TJ 0 g 0 G 0 g 0 G - [-550(25)]TJ + 1 0 0 1 484.453 645.73 Tm [(25)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - 0 -12.08 Td [(3.3.4)-1200(set)-250(\227)-250(Set)-250(contents)-250(of)-250(the)-250(vector)]TJ + -295.89 -12.079 Td [(3.3.4)-1200(set)-250(\227)-250(Set)-250(contents)-250(of)-250(the)-250(vector)]TJ 0 g 0 G [-461(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1436,25 +1435,25 @@ BT 0 -12.08 Td [(3.3.5)-1200(get)]TJ ET q -1 0 0 1 234.6 609.691 cm +1 0 0 1 234.6 621.77 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 237.589 609.491 Td [(vect)-250(\227)-250(Get)-250(a)-250(copy)-250(of)-250(the)-250(vector)-250(contents)]TJ +/F84 9.9626 Tf 237.589 621.571 Td [(vect)-250(\227)-250(Get)-250(a)-250(copy)-250(of)-250(the)-250(vector)-250(contents)]TJ 0 g 0 G [-770(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(27)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.026 -12.079 Td [(3.3.6)-1200(clone)-250(\227)-250(Clone)-250(curr)18(ent)-250(object)]TJ + -49.026 -12.08 Td [(3.3.6)-1200(clone)-250(\227)-250(Clone)-250(curr)18(ent)-250(object)]TJ 0 g 0 G [-763(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(27)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -22.914 -12.08 Td [(3.4)-1050(Pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ + -22.914 -12.079 Td [(3.4)-1050(Pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 g 0 G [-741(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1468,467 +1467,481 @@ BT [-1500(28)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf -14.944 -22.125 Td [(4)-1000(Computational)-250(routines)]TJ +/F75 9.9626 Tf -14.944 -22.125 Td [(4)-1000(Computational)-250(routines)]TJ 0 g 0 G [-21085(29)]TJ 0 0 1 rg 0 0 1 RG -/F62 9.9626 Tf 14.944 -12.08 Td [(4.1)-1050(psb)]TJ +/F84 9.9626 Tf 14.944 -12.08 Td [(4.1)-1020(psb)]TJ ET q -1 0 0 1 204.881 539.246 cm +1 0 0 1 204.583 551.326 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 539.047 Td [(geaxpby)-250(\227)-250(General)-250(Dense)-250(Matrix)-250(Sum)]TJ +/F84 9.9626 Tf 207.571 551.127 Td [(geaxpby)-250(\227)-250(General)-250(Dense)-250(Matrix)-250(Sum)]TJ 0 g 0 G - [-539(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-569(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(30)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.2)-1050(psb)]TJ + -41.922 -12.08 Td [(4.2)-1020(psb)]TJ ET q -1 0 0 1 204.881 527.167 cm +1 0 0 1 204.583 539.246 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 526.967 Td [(gedot)-250(\227)-250(Dot)-250(Pr)18(oduct)]TJ +/F84 9.9626 Tf 207.571 539.047 Td [(gedot)-250(\227)-250(Dot)-250(Pr)18(oduct)]TJ 0 g 0 G - [-837(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-867(.)-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 [-1500(32)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.079 Td [(4.3)-1050(psb)]TJ + -41.922 -12.08 Td [(4.3)-1020(psb)]TJ ET q -1 0 0 1 204.881 515.087 cm +1 0 0 1 204.583 527.167 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 514.888 Td [(gedots)-250(\227)-250(Generalized)-250(Dot)-250(Pr)18(oduct)]TJ +/F84 9.9626 Tf 207.571 526.967 Td [(gedots)-250(\227)-250(Generalized)-250(Dot)-250(Pr)18(oduct)]TJ 0 g 0 G - [-793(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-823(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(34)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.4)-1050(psb)]TJ + -41.922 -12.079 Td [(4.4)-1020(psb)]TJ ET q -1 0 0 1 204.881 503.007 cm +1 0 0 1 204.583 515.087 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 502.808 Td [(normi)-250(\227)-250(In\002nity-Norm)-250(of)-250(V)111(ector)]TJ +/F84 9.9626 Tf 207.571 514.888 Td [(normi)-250(\227)-250(In\002nity-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G - [-868(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-898(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(36)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.5)-1050(psb)]TJ + -41.922 -12.08 Td [(4.5)-1020(psb)]TJ ET q -1 0 0 1 204.881 490.928 cm +1 0 0 1 204.583 503.007 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 490.728 Td [(geamaxs)-250(\227)-250(Generalized)-250(In\002nity)-250(Norm)]TJ +/F84 9.9626 Tf 207.571 502.808 Td [(geamaxs)-250(\227)-250(Generalized)-250(In\002nity)-250(Norm)]TJ 0 g 0 G - [-600(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-630(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(38)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.079 Td [(4.6)-1050(psb)]TJ + -41.922 -12.08 Td [(4.6)-1020(psb)]TJ ET q -1 0 0 1 204.881 478.848 cm +1 0 0 1 204.583 490.928 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 478.649 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(V)111(ector)]TJ +/F84 9.9626 Tf 207.571 490.728 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G - [-438(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-468(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(39)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.7)-1050(psb)]TJ + -41.922 -12.079 Td [(4.7)-1020(psb)]TJ ET q -1 0 0 1 204.881 466.768 cm +1 0 0 1 204.583 478.848 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 466.569 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ +/F84 9.9626 Tf 207.571 478.649 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G - [-605(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-635(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(41)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.8)-1050(psb)]TJ + -41.922 -12.08 Td [(4.8)-1020(psb)]TJ ET q -1 0 0 1 204.881 454.688 cm +1 0 0 1 204.583 466.768 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 454.489 Td [(norm2)-250(\227)-250(2-Norm)-250(of)-250(V)111(ector)]TJ +/F84 9.9626 Tf 207.571 466.569 Td [(norm2)-250(\227)-250(2-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G - [-438(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-468(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(43)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.9)-1050(psb)]TJ + -41.922 -12.08 Td [(4.9)-1020(psb)]TJ ET q -1 0 0 1 204.881 442.609 cm +1 0 0 1 204.583 454.688 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 442.409 Td [(genrm2s)-250(\227)-250(Generalized)-250(2-Norm)-250(of)-250(V)111(ector)]TJ +/F84 9.9626 Tf 207.571 454.489 Td [(genrm2s)-250(\227)-250(Generalized)-250(2-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G - [-655(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-685(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(45)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.079 Td [(4.10)-550(psb)]TJ + -41.922 -12.08 Td [(4.10)-520(psb)]TJ ET q -1 0 0 1 204.881 430.529 cm +1 0 0 1 204.583 442.609 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 430.33 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ +/F84 9.9626 Tf 207.571 442.409 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ 0 g 0 G - [-841(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-871(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(46)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.11)-550(psb)]TJ + -41.922 -12.079 Td [(4.11)-520(psb)]TJ ET q -1 0 0 1 204.881 418.449 cm +1 0 0 1 204.583 430.529 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 418.25 Td [(normi)-250(\227)-250(In\002nity)-250(Norm)-250(of)-250(Sparse)-250(Matrix)]TJ +/F84 9.9626 Tf 207.571 430.33 Td [(normi)-250(\227)-250(In\002nity)-250(Norm)-250(of)-250(Sparse)-250(Matrix)]TJ 0 g 0 G - [-604(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-634(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(47)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.12)-550(psb)]TJ + -41.922 -12.08 Td [(4.12)-520(psb)]TJ ET q -1 0 0 1 204.881 406.37 cm +1 0 0 1 204.583 418.449 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 406.17 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct)]TJ +/F84 9.9626 Tf 207.571 418.25 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct)]TJ 0 g 0 G - [-491(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-521(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(48)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.079 Td [(4.13)-550(psb)]TJ + -41.922 -12.08 Td [(4.13)-520(psb)]TJ ET q -1 0 0 1 204.881 394.29 cm +1 0 0 1 204.583 406.37 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 394.091 Td [(spsm)-250(\227)-250(T)90(riangular)-250(System)-250(Solve)]TJ +/F84 9.9626 Tf 207.571 406.17 Td [(spsm)-250(\227)-250(T)90(riangular)-250(System)-250(Solve)]TJ 0 g 0 G - [-945(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-975(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(50)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.14)-550(psb)]TJ + -41.922 -12.079 Td [(4.14)-520(psb)]TJ ET q -1 0 0 1 204.881 382.21 cm +1 0 0 1 204.583 394.29 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 382.011 Td [(gemlt)-250(\227)-250(Entrywise)-250(Pr)18(oduct)]TJ +/F84 9.9626 Tf 207.571 394.091 Td [(gemlt)-250(\227)-250(Entrywise)-250(Pr)18(oduct)]TJ 0 g 0 G - [-968(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-998(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(53)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(4.15)-550(psb)]TJ + -41.922 -12.08 Td [(4.15)-520(psb)]TJ ET q -1 0 0 1 204.881 370.131 cm +1 0 0 1 204.583 382.21 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 369.931 Td [(gediv)-250(\227)-250(Entrywise)-250(Division)]TJ +/F84 9.9626 Tf 207.571 382.011 Td [(gediv)-250(\227)-250(Entrywise)-250(Division)]TJ 0 g 0 G - [-748(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-778(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(55)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.079 Td [(4.16)-550(psb)]TJ + -41.922 -12.08 Td [(4.16)-520(psb)]TJ ET q -1 0 0 1 204.881 358.051 cm +1 0 0 1 204.583 370.131 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 357.852 Td [(geinv)-250(\227)-250(Entrywise)-250(Inversion)]TJ +/F84 9.9626 Tf 207.571 369.931 Td [(geinv)-250(\227)-250(Entrywise)-250(Inversion)]TJ 0 g 0 G - [-340(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-370(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(57)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf -57.165 -22.126 Td [(5)-1000(Communication)-250(routines)]TJ +/F75 9.9626 Tf -56.866 -22.125 Td [(5)-1000(Communication)-250(routines)]TJ 0 g 0 G [-20585(58)]TJ 0 0 1 rg 0 0 1 RG -/F62 9.9626 Tf 14.944 -12.079 Td [(5.1)-1050(psb)]TJ +/F84 9.9626 Tf 14.944 -12.08 Td [(5.1)-1020(psb)]TJ ET q -1 0 0 1 204.881 323.846 cm +1 0 0 1 204.583 335.925 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 323.647 Td [(halo)-250(\227)-250(Halo)-250(Data)-250(Communication)]TJ +/F84 9.9626 Tf 207.571 335.726 Td [(halo)-250(\227)-250(Halo)-250(Data)-250(Communication)]TJ 0 g 0 G - [-888(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-918(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(59)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(5.2)-1050(psb)]TJ + -41.922 -12.08 Td [(5.2)-1020(psb)]TJ ET q -1 0 0 1 204.881 311.766 cm +1 0 0 1 204.583 323.846 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 311.567 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ +/F84 9.9626 Tf 207.571 323.647 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ 0 g 0 G - [-553(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-583(.)-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 [-1500(62)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(5.3)-1050(psb)]TJ + -41.922 -12.08 Td [(5.3)-1020(psb)]TJ ET q -1 0 0 1 204.881 299.686 cm +1 0 0 1 204.583 311.766 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 299.487 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ +/F84 9.9626 Tf 207.571 311.567 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ 0 g 0 G - [-973(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-253(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(66)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(5.4)-1050(psb)]TJ + -41.922 -12.08 Td [(5.4)-1020(psb)]TJ ET q -1 0 0 1 204.881 287.607 cm +1 0 0 1 204.583 299.686 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 287.407 Td [(scatter)-250(\227)-250(Scatter)-250(Global)-250(Dense)-250(Matrix)]TJ +/F84 9.9626 Tf 207.571 299.487 Td [(scatter)-250(\227)-250(Scatter)-250(Global)-250(Dense)-250(Matrix)]TJ 0 g 0 G - [-967(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-997(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(68)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf -57.165 -22.125 Td [(6)-1000(Data)-250(management)-250(routines)]TJ +/F75 9.9626 Tf -56.866 -22.125 Td [(6)-1000(Data)-250(management)-250(routines)]TJ 0 g 0 G [-19668(70)]TJ 0 0 1 rg 0 0 1 RG -/F62 9.9626 Tf 14.944 -12.08 Td [(6.1)-1050(psb)]TJ +/F84 9.9626 Tf 14.944 -12.08 Td [(6.1)-1020(psb)]TJ ET q -1 0 0 1 204.881 253.402 cm +1 0 0 1 204.583 265.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 253.202 Td [(cdall)-250(\227)-250(Allocates)-250(a)-250(communication)-250(descriptor)]TJ +/F84 9.9626 Tf 207.571 265.282 Td [(cdall)-250(\227)-250(Allocates)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G - [-363(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-393(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(70)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.079 Td [(6.2)-1050(psb)]TJ + -41.922 -12.08 Td [(6.2)-1020(psb)]TJ ET q -1 0 0 1 204.881 241.322 cm +1 0 0 1 204.583 253.402 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 241.123 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(r)18(outine)]TJ +/F84 9.9626 Tf 207.571 253.202 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(r)18(outine)]TJ 0 g 0 G - [-261(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-291(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(74)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(6.3)-1050(psb)]TJ + -41.922 -12.079 Td [(6.3)-1020(psb)]TJ ET q -1 0 0 1 204.881 229.242 cm +1 0 0 1 204.583 241.322 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 229.043 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(r)18(outine)]TJ +/F84 9.9626 Tf 207.571 241.123 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(r)18(outine)]TJ 0 g 0 G - [-718(.)-500(.)-500(.)]TJ + [-748(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(76)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(6.4)-1050(psb)]TJ + -41.922 -12.08 Td [(6.4)-1020(psb)]TJ ET q -1 0 0 1 204.881 217.163 cm +1 0 0 1 204.583 229.242 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 216.963 Td [(cdcpy)-250(\227)-250(Copies)-250(a)-250(communication)-250(descriptor)]TJ +/F84 9.9626 Tf 207.571 229.043 Td [(cdcpy)-250(\227)-250(Copies)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G - [-873(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-903(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(77)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.079 Td [(6.5)-1050(psb)]TJ + -41.922 -12.08 Td [(6.5)-1020(psb)]TJ ET q -1 0 0 1 204.881 205.083 cm +1 0 0 1 204.583 217.163 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 204.884 Td [(cdfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(communication)-250(descriptor)]TJ +/F84 9.9626 Tf 207.571 216.963 Td [(cdfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G - [-791(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-821(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(78)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(6.6)-1050(psb)]TJ + -41.922 -12.079 Td [(6.6)-1020(psb)]TJ ET q -1 0 0 1 204.881 193.003 cm +1 0 0 1 204.583 205.083 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 192.804 Td [(cdbldext)-250(\227)-250(Build)-250(an)-250(extended)-250(communication)-250(descriptor)]TJ +/F84 9.9626 Tf 207.571 204.884 Td [(cdbldext)-250(\227)-250(Build)-250(an)-250(extended)-250(communication)-250(descriptor)]TJ 0 g 0 G - [-676(.)]TJ + [-706(.)]TJ 0 g 0 G [-1500(79)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(6.7)-1050(psb)]TJ + -41.922 -12.08 Td [(6.7)-1020(psb)]TJ ET q -1 0 0 1 204.881 180.923 cm +1 0 0 1 204.583 193.003 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 180.724 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ +/F84 9.9626 Tf 207.571 192.804 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G - [-842(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-872(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(81)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(6.8)-1050(psb)]TJ + -41.922 -12.08 Td [(6.8)-1020(psb)]TJ ET q -1 0 0 1 204.881 168.844 cm +1 0 0 1 204.583 180.923 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 168.644 Td [(spins)-250(\227)-250(Insert)-250(a)-250(set)-250(of)-250(coef)18(\002cients)-250(into)-250(a)-250(sparse)-250(matrix)]TJ +/F84 9.9626 Tf 207.571 180.724 Td [(spins)-250(\227)-250(Insert)-250(a)-250(set)-250(of)-250(coef)18(\002cients)-250(into)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G - [-625(.)-500(.)-500(.)]TJ + [-655(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(83)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.079 Td [(6.9)-1050(psb)]TJ + -41.922 -12.08 Td [(6.9)-1020(psb)]TJ ET q -1 0 0 1 204.881 156.764 cm +1 0 0 1 204.583 168.844 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 156.565 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(r)18(outine)]TJ +/F84 9.9626 Tf 207.571 168.644 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(r)18(outine)]TJ 0 g 0 G - [-611(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-641(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(86)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(6.10)-550(psb)]TJ + -41.922 -12.079 Td [(6.10)-520(psb)]TJ ET q -1 0 0 1 204.881 144.684 cm +1 0 0 1 204.583 156.764 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 144.485 Td [(spfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(sparse)-250(matrix)]TJ +/F84 9.9626 Tf 207.571 156.565 Td [(spfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G - [-520(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-550(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(88)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.221 -12.08 Td [(6.11)-550(psb)]TJ + -41.922 -12.08 Td [(6.11)-520(psb)]TJ ET q -1 0 0 1 204.881 132.605 cm +1 0 0 1 204.583 144.684 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 207.87 132.405 Td 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0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 621.47 Td [(owned)]TJ +/F84 9.9626 Tf 156.762 633.564 Td [(owned)]TJ ET q -1 0 0 1 188.064 621.669 cm +1 0 0 1 187.765 633.763 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 191.053 621.47 Td [(index)-250(\227)]TJ +/F84 9.9626 Tf 190.754 633.564 Td [(index)-250(\227)]TJ 0 g 0 G - [-871(.)-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 + [-901(.)-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 [-1000(101)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -76.214 -12.095 Td [(6.21)-550(psb)]TJ + -75.915 -12.094 Td [(6.21)-520(psb)]TJ ET q -1 0 0 1 154.072 609.575 cm +1 0 0 1 153.773 621.669 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 609.375 Td [(is)]TJ +/F84 9.9626 Tf 156.762 621.47 Td [(is)]TJ ET q -1 0 0 1 164.782 609.575 cm +1 0 0 1 164.483 621.669 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 167.771 609.375 Td [(local)-250(\227)]TJ +/F84 9.9626 Tf 167.472 621.47 Td [(local)-250(\227)]TJ 0 g 0 G - [-615(.)-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 + [-645(.)-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 [-1000(102)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -52.932 -12.094 Td [(6.22)-550(psb)]TJ + -52.633 -12.095 Td [(6.22)-520(psb)]TJ ET q -1 0 0 1 154.072 597.481 cm +1 0 0 1 153.773 609.575 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 597.281 Td [(local)]TJ +/F84 9.9626 Tf 156.762 609.375 Td [(local)]TJ ET q -1 0 0 1 178.301 597.481 cm +1 0 0 1 178.002 609.575 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 181.29 597.281 Td [(index)-250(\227)]TJ +/F84 9.9626 Tf 180.991 609.375 Td [(index)-250(\227)]TJ 0 g 0 G - [-1101(.)-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 + [-1131(.)-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 [-1000(103)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -66.451 -12.094 Td [(6.23)-550(psb)]TJ + -66.152 -12.094 Td [(6.23)-520(psb)]TJ ET q -1 0 0 1 154.072 585.386 cm +1 0 0 1 153.773 597.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 585.187 Td [(get)]TJ +/F84 9.9626 Tf 156.762 597.281 Td [(get)]TJ ET q -1 0 0 1 171.217 585.386 cm +1 0 0 1 170.919 597.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 174.206 585.187 Td [(boundary)-250(\227)-250(Extract)-250(list)-250(of)-250(boundary)-250(elements)]TJ +/F84 9.9626 Tf 173.907 597.281 Td [(boundary)-250(\227)-250(Extract)-250(list)-250(of)-250(boundary)-250(elements)]TJ 0 g 0 G - [-827(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-857(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(104)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -59.367 -12.094 Td [(6.24)-550(psb)]TJ + -59.068 -12.094 Td [(6.24)-520(psb)]TJ ET q -1 0 0 1 154.072 573.292 cm +1 0 0 1 153.773 585.386 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 573.093 Td [(get)]TJ +/F84 9.9626 Tf 156.762 585.187 Td [(get)]TJ ET q -1 0 0 1 171.217 573.292 cm +1 0 0 1 170.919 585.386 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 174.206 573.093 Td [(overlap)-250(\227)-250(Extract)-250(list)-250(of)-250(overlap)-250(elements)]TJ +/F84 9.9626 Tf 173.907 585.187 Td [(overlap)-250(\227)-250(Extract)-250(list)-250(of)-250(overlap)-250(elements)]TJ 0 g 0 G - [-515(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-545(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(105)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -59.367 -12.094 Td [(6.25)-550(psb)]TJ + -59.068 -12.094 Td [(6.25)-520(psb)]TJ ET q -1 0 0 1 154.072 561.198 cm +1 0 0 1 153.773 573.292 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 560.999 Td [(sp)]TJ +/F84 9.9626 Tf 156.762 573.093 Td [(sp)]TJ ET q -1 0 0 1 167.87 561.198 cm +1 0 0 1 167.571 573.292 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 170.859 560.999 Td [(getr)18(ow)-250(\227)-250(Extract)-250(r)18(ow\050s\051)-250(fr)18(om)-250(a)-250(sparse)-250(matrix)]TJ +/F84 9.9626 Tf 170.56 573.093 Td [(getr)18(ow)-250(\227)-250(Extract)-250(r)18(ow\050s\051)-250(fr)18(om)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G - [-671(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-701(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(106)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -56.02 -12.094 Td [(6.26)-550(psb)]TJ + -55.721 -12.094 Td [(6.26)-520(psb)]TJ ET q -1 0 0 1 154.072 549.104 cm +1 0 0 1 153.773 561.198 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 548.905 Td [(sizeof)-250(\227)-250(Memory)-250(occupation)]TJ +/F84 9.9626 Tf 156.762 560.999 Td [(sizeof)-250(\227)-250(Memory)-250(occupation)]TJ 0 g 0 G - [-251(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-281(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(108)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.095 Td [(6.27)-550(Sorting)-250(utilities)-250(\227)]TJ + -41.923 -12.094 Td [(6.27)-550(Sorting)-250(utilities)-250(\227)]TJ 0 g 0 G [-1157(.)-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 [-1000(109)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf -14.944 -22.149 Td [(7)-1000(Parallel)-250(environment)-250(routines)]TJ +/F75 9.9626 Tf -14.944 -22.15 Td [(7)-1000(Parallel)-250(environment)-250(routines)]TJ 0 g 0 G [-17835(111)]TJ 0 0 1 rg 0 0 1 RG -/F62 9.9626 Tf 14.944 -12.094 Td [(7.1)-1050(psb)]TJ +/F84 9.9626 Tf 14.944 -12.094 Td [(7.1)-1020(psb)]TJ ET q -1 0 0 1 154.072 502.766 cm +1 0 0 1 153.773 514.86 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 502.567 Td [(init)-250(\227)-250(Initializes)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ +/F84 9.9626 Tf 156.762 514.661 Td [(init)-250(\227)-250(Initializes)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ 0 g 0 G - [-766(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-796(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(112)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.095 Td [(7.2)-1050(psb)]TJ + -41.923 -12.094 Td [(7.2)]TJ 0.98 0 0 1 137.455 502.567 Tm [(psb)]TJ ET q -1 0 0 1 154.072 490.672 cm +1 0 0 1 153.459 502.766 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 490.472 Td [(info)-264(\227)-264(Return)-264(information)-264(abou)1(t)-264(PSBLAS)-264(parallel)-264(envir)18(on-)]TJ -19.308 -11.955 Td [(ment)]TJ +/F84 9.9626 Tf 0.98 0 0 1 156.448 502.567 Tm [(info)-218(\227)-219(Return)-218(information)-219(abou)1(t)-219(PSBLAS)-218(parallel)-219(envir)19(onment)]TJ 0 g 0 G - [-930(.)-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(.)-500(.)]TJ 0 g 0 G - [-1000(113)]TJ + 1 0 0 1 428.663 502.567 Tm [(113)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -22.914 -12.094 Td [(7.3)-1050(psb)]TJ + -313.824 -12.095 Td [(7.3)-1020(psb)]TJ ET q -1 0 0 1 154.072 466.622 cm +1 0 0 1 153.773 490.672 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 466.423 Td [(exit)-250(\227)-250(Exit)-250(fr)18(om)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ +/F84 9.9626 Tf 156.762 490.472 Td [(exit)-250(\227)-250(Exit)-250(fr)18(om)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ 0 g 0 G - [-823(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-853(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(114)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.4)-1050(psb)]TJ + -41.923 -12.094 Td [(7.4)-1020(psb)]TJ ET q -1 0 0 1 154.072 454.528 cm +1 0 0 1 153.773 478.578 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 454.329 Td [(get)]TJ +/F84 9.9626 Tf 156.762 478.378 Td [(get)]TJ ET q -1 0 0 1 171.217 454.528 cm +1 0 0 1 170.919 478.578 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 174.206 454.329 Td [(mpi)]TJ +/F84 9.9626 Tf 173.907 478.378 Td [(mpi)]TJ ET q -1 0 0 1 192.487 454.528 cm +1 0 0 1 192.189 478.578 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 195.476 454.329 Td [(comm)-250(\227)-250(Get)-250(the)-250(MPI)-250(communicator)]TJ +/F84 9.9626 Tf 195.177 478.378 Td [(comm)-250(\227)-250(Get)-250(the)-250(MPI)-250(communicator)]TJ 0 g 0 G - [-615(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-645(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(115)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -80.637 -12.094 Td [(7.5)-1050(psb)]TJ + -80.338 -12.094 Td [(7.5)-1020(psb)]TJ ET q -1 0 0 1 154.072 442.434 cm +1 0 0 1 153.773 466.483 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 442.235 Td [(get)]TJ +/F84 9.9626 Tf 156.762 466.284 Td [(get)]TJ ET q -1 0 0 1 171.217 442.434 cm +1 0 0 1 170.919 466.483 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 174.206 442.235 Td [(mpi)]TJ +/F84 9.9626 Tf 173.907 466.284 Td [(mpi)]TJ ET q -1 0 0 1 192.487 442.434 cm +1 0 0 1 192.189 466.483 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 195.476 442.235 Td [(rank)-250(\227)-250(Get)-250(the)-250(MPI)-250(rank)]TJ +/F84 9.9626 Tf 195.177 466.284 Td [(rank)-250(\227)-250(Get)-250(the)-250(MPI)-250(rank)]TJ 0 g 0 G - [-498(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-528(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(116)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -80.637 -12.094 Td [(7.6)-1050(psb)]TJ + -80.338 -12.094 Td [(7.6)-1020(psb)]TJ ET q -1 0 0 1 154.072 430.34 cm +1 0 0 1 153.773 454.389 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 430.141 Td [(wtime)-250(\227)-250(W)92(all)-250(clock)-250(timing)]TJ +/F84 9.9626 Tf 156.762 454.19 Td [(wtime)-250(\227)-250(W)92(all)-250(clock)-250(timing)]TJ 0 g 0 G - [-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-529(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(117)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.095 Td [(7.7)-1050(psb)]TJ + -41.923 -12.094 Td [(7.7)-1020(psb)]TJ ET q -1 0 0 1 154.072 418.246 cm +1 0 0 1 153.773 442.295 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 418.046 Td [(barrier)-250(\227)-250(Sinchr)18(onization)-250(point)-250(parallel)-250(envir)18(onment)]TJ +/F84 9.9626 Tf 156.762 442.096 Td [(barrier)-250(\227)-250(Sinchr)18(onization)-250(point)-250(parallel)-250(envir)18(onment)]TJ 0 g 0 G - [-903(.)-500(.)-500(.)]TJ + [-933(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(118)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.8)-1050(psb)]TJ + -41.923 -12.094 Td [(7.8)-1020(psb)]TJ ET q -1 0 0 1 154.072 406.151 cm +1 0 0 1 153.773 430.201 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 405.952 Td [(abort)-250(\227)-250(Abort)-250(a)-250(computation)]TJ +/F84 9.9626 Tf 156.762 430.002 Td [(abort)-250(\227)-250(Abort)-250(a)-250(computation)]TJ 0 g 0 G - [-946(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-976(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(119)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.9)-1050(psb)]TJ + -41.923 -12.095 Td [(7.9)-1020(psb)]TJ ET q -1 0 0 1 154.072 394.057 cm +1 0 0 1 153.773 418.107 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 393.858 Td [(bcast)-250(\227)-250(Br)18(oadcast)-250(data)]TJ +/F84 9.9626 Tf 156.762 417.907 Td [(bcast)-250(\227)-250(Br)18(oadcast)-250(data)]TJ 0 g 0 G - [-739(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-769(.)-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 [-1000(120)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.10)-550(psb)]TJ + -41.923 -12.094 Td [(7.10)-520(psb)]TJ ET q -1 0 0 1 154.072 381.963 cm +1 0 0 1 153.773 406.012 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 381.764 Td [(sum)-250(\227)-250(Global)-250(sum)]TJ +/F84 9.9626 Tf 156.762 405.813 Td [(sum)-250(\227)-250(Global)-250(sum)]TJ 0 g 0 G - [-998(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-278(.)-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 [-1000(122)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.11)-550(psb)]TJ + -41.923 -12.094 Td [(7.11)-520(psb)]TJ ET q -1 0 0 1 154.072 369.869 cm +1 0 0 1 153.773 393.918 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 369.67 Td [(max)-250(\227)-250(Global)-250(maximum)]TJ +/F84 9.9626 Tf 156.762 393.719 Td [(max)-250(\227)-250(Global)-250(maximum)]TJ 0 g 0 G - [-610(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-640(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(124)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.095 Td [(7.12)-550(psb)]TJ + -41.923 -12.094 Td [(7.12)-520(psb)]TJ ET q -1 0 0 1 154.072 357.775 cm +1 0 0 1 153.773 381.824 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 357.575 Td [(min)-250(\227)-250(Global)-250(minimum)]TJ +/F84 9.9626 Tf 156.762 381.625 Td [(min)-250(\227)-250(Global)-250(minimum)]TJ 0 g 0 G - [-896(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-926(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(126)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.13)-550(psb)]TJ + -41.923 -12.094 Td [(7.13)-520(psb)]TJ ET q -1 0 0 1 154.072 345.681 cm +1 0 0 1 153.773 369.73 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 345.481 Td [(amx)-250(\227)-250(Global)-250(maximum)-250(absolute)-250(value)]TJ +/F84 9.9626 Tf 156.762 369.531 Td [(amx)-250(\227)-250(Global)-250(maximum)-250(absolute)-250(value)]TJ 0 g 0 G - [-700(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-730(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(128)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.14)-550(psb)]TJ + -41.923 -12.095 Td [(7.14)-520(psb)]TJ ET q -1 0 0 1 154.072 333.586 cm +1 0 0 1 153.773 357.636 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 333.387 Td [(amn)-250(\227)-250(Global)-250(minimum)-250(absolute)-250(value)]TJ +/F84 9.9626 Tf 156.762 357.436 Td [(amn)-250(\227)-250(Global)-250(minimum)-250(absolute)-250(value)]TJ 0 g 0 G - [-777(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-807(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(130)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.15)-550(psb)]TJ + -41.923 -12.094 Td [(7.15)-520(psb)]TJ ET q -1 0 0 1 154.072 321.492 cm +1 0 0 1 153.773 345.542 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 321.293 Td [(nrm2)-250(\227)-250(Global)-250(2-norm)-250(r)18(eduction)]TJ +/F84 9.9626 Tf 156.762 345.342 Td [(nrm2)-250(\227)-250(Global)-250(2-norm)-250(r)18(eduction)]TJ 0 g 0 G - [-710(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-740(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(132)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.16)-550(psb)]TJ + -41.923 -12.094 Td [(7.16)-520(psb)]TJ ET q -1 0 0 1 154.072 309.398 cm +1 0 0 1 153.773 333.447 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 309.199 Td [(snd)-250(\227)-250(Send)-250(data)]TJ +/F84 9.9626 Tf 156.762 333.248 Td [(snd)-250(\227)-250(Send)-250(data)]TJ 0 g 0 G - [-511(.)-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 + [-541(.)-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 [-1000(134)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(7.17)-550(psb)]TJ + -41.923 -12.094 Td [(7.17)-520(psb)]TJ ET q -1 0 0 1 154.072 297.304 cm +1 0 0 1 153.773 321.353 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 297.105 Td [(r)18(cv)-250(\227)-250(Receive)-250(data)]TJ +/F84 9.9626 Tf 156.762 321.154 Td [(r)18(cv)-250(\227)-250(Receive)-250(data)]TJ 0 g 0 G - [-284(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ + [-314(.)-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 [-1000(135)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf -57.166 -22.15 Td [(8)-1000(Error)-250(handling)]TJ +/F75 9.9626 Tf -56.867 -22.15 Td [(8)-1000(Error)-250(handling)]TJ 0 g 0 G [-24750(136)]TJ 0 0 1 rg 0 0 1 RG -/F62 9.9626 Tf 14.944 -12.094 Td [(8.1)-1050(psb)]TJ +/F84 9.9626 Tf 14.944 -12.094 Td [(8.1)-1020(psb)]TJ ET q -1 0 0 1 154.072 263.06 cm +1 0 0 1 153.773 287.11 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 262.861 Td [(errpush)-250(\227)-250(Pushes)-250(an)-250(err)18(or)-250(code)-250(onto)-250(the)-250(err)18(or)-250(stack)]TJ +/F84 9.9626 Tf 156.762 286.91 Td [(errpush)-250(\227)-250(Pushes)-250(an)-250(err)18(or)-250(code)-250(onto)-250(the)-250(err)18(or)-250(stack)]TJ 0 g 0 G - [-734(.)-500(.)-500(.)-500(.)]TJ + [-764(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(138)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(8.2)-1050(psb)]TJ + -41.923 -12.094 Td [(8.2)-1020(psb)]TJ ET q -1 0 0 1 154.072 250.966 cm +1 0 0 1 153.773 275.015 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 250.767 Td [(err)18(or)-250(\227)-250(Prints)-250(the)-250(err)18(or)-250(stack)-250(content)-250(and)-250(aborts)-250(execution)]TJ +/F84 9.9626 Tf 156.762 274.816 Td [(err)18(or)-250(\227)-250(Prints)-250(the)-250(err)18(or)-250(stack)-250(content)-250(and)-250(aborts)-250(execution)]TJ 0 g 0 G 0 g 0 G - [-1381(139)]TJ + [-1411(139)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.222 -12.094 Td [(8.3)-1050(psb)]TJ + -41.923 -12.094 Td [(8.3)-1020(psb)]TJ ET q -1 0 0 1 154.072 238.872 cm +1 0 0 1 153.773 262.921 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 238.673 Td [(set)]TJ +/F84 9.9626 Tf 156.762 262.722 Td [(set)]TJ ET q -1 0 0 1 169.902 238.872 cm +1 0 0 1 169.604 262.921 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 172.891 238.673 Td [(errverbosity)-250(\227)-250(Sets)-250(the)-250(verbosity)-250(of)-250(err)18(or)-250(messages)]TJ +/F84 9.9626 Tf 172.592 262.722 Td [(errverbosity)-250(\227)-250(Sets)-250(the)-250(verbosity)-250(of)-250(err)18(or)-250(messages)]TJ 0 g 0 G - [-253(.)-500(.)-500(.)]TJ + [-283(.)-500(.)-500(.)]TJ 0 g 0 G [-1000(140)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -58.052 -12.095 Td [(8.4)-1050(psb)]TJ + -57.753 -12.094 Td [(8.4)]TJ 0.994 0 0 1 137.455 250.628 Tm [(psb)]TJ ET q -1 0 0 1 154.072 226.778 cm +1 0 0 1 153.679 250.827 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 157.061 226.578 Td [(set)]TJ +/F84 9.9626 Tf 0.994 0 0 1 156.668 250.628 Tm [(set)]TJ ET q -1 0 0 1 169.902 226.778 cm +1 0 0 1 169.436 250.827 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 172.891 226.578 Td [(erraction)-232(\227)-231(Set)-232(the)-231(type)-232(of)-231(action)-232(to)-232(b)1(e)-232(taken)-232(upon)-231(err)18(or)]TJ -35.138 -11.955 Td [(condition)]TJ +/F84 9.9626 Tf 0.994 0 0 1 172.425 250.628 Tm [(erraction)-251(\227)-251(Set)-252(the)-251(type)-251(of)-251(action)-251(to)-252(b)1(e)-252(taken)-251(upon)-251(err)18(or)]TJ 1 0 0 1 137.753 238.673 Tm [(condition)]TJ 0 g 0 G [-481(.)-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(.)]TJ 0 g 0 G [-1000(141)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf -37.858 -22.149 Td [(9)-1000(Utilities)]TJ +/F75 9.9626 Tf -37.858 -22.15 Td [(9)-1000(Utilities)]TJ 0 g 0 G [-27780(142)]TJ 0 0 1 rg 0 0 1 RG -/F62 9.9626 Tf 14.944 -12.095 Td [(9.1)-1450(hb)]TJ +/F84 9.9626 Tf 14.944 -12.094 Td [(9.1)]TJ 0.98 0 0 1 137.753 204.429 Tm [(hb)]TJ ET q -1 0 0 1 153.644 180.579 cm +1 0 0 1 149.432 204.628 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 156.633 180.38 Td [(r)18(ead)-400(\227)-400(Read)-400(a)-400(sparse)-400(matrix)-400(fr)18(om)-400(a)-400(\002le)-400(in)-400(the)-400(Harwell\226)]TJ -18.88 -11.956 Td [(Boeing)-250(format)]TJ +/F84 9.9626 Tf 0.98 0 0 1 152.421 204.429 Tm [(r)18(ead)-209(\227)-209(Read)-210(a)-209(sparse)-210(matr)1(ix)-210(fr)19(om)-210(a)-209(\002le)-210(in)-209(the)-209(Harwell\226Boeing)]TJ 1 0 0 1 137.753 192.474 Tm [(format)]TJ 0 g 0 G - [-652(.)-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 + [-967(.)-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(.)]TJ 0 g 0 G [-1000(143)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -22.914 -12.094 Td [(9.2)-1050(hb)]TJ + -22.914 -12.094 Td [(9.2)]TJ 0.99 0 0 1 137.753 180.38 Tm [(hb)]TJ ET q -1 0 0 1 149.659 156.529 cm +1 0 0 1 149.546 180.579 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 152.647 156.33 Td [(write)-226(\227)-226(W)74(rite)-226(a)-226(sparse)-226(matrix)-226(to)-226(a)-225(\002le)-226(in)-226(the)-226(Harwell\226Boeing)]TJ -14.894 -11.955 Td [(format)]TJ +/F84 9.9626 Tf 0.99 0 0 1 152.534 180.38 Tm [(write)-252(\227)-251(W)75(rite)-252(a)-251(sparse)-252(matrix)-251(to)-252(a)-251(\002le)-252(in)-251(the)-252(Harwell\226Boeing)]TJ 1 0 0 1 137.753 168.424 Tm [(format)]TJ 0 g 0 G [-967(.)-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(.)]TJ 0 g 0 G [-1000(144)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -22.914 -12.094 Td [(9.3)-1050(mm)]TJ + -22.914 -12.094 Td [(9.3)]TJ 1.014 0 0 1 137.753 156.33 Tm [(mm)]TJ ET q -1 0 0 1 155.945 132.48 cm +1 0 0 1 156.191 156.529 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 158.934 132.281 Td [(mat)]TJ +/F84 9.9626 Tf 1.014 0 0 1 159.18 156.33 Tm [(mat)]TJ ET q -1 0 0 1 176.558 132.48 cm +1 0 0 1 177.042 156.529 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 179.546 132.281 Td [(r)18(ead)-265(\227)-265(Read)-265(a)-265(sparse)-265(matrix)-265(fr)18(om)-265(a)-265(\002le)-265(in)-265(the)-265(Matrix-)]TJ -41.793 -11.955 Td [(Market)-250(format)]TJ +/F84 9.9626 Tf 1.014 0 0 1 180.031 156.33 Tm [(r)18(ead)-246(\227)-245(Read)-246(a)-245(sparse)-245(matrix)-246(fr)18(om)-245(a)-246(\002le)-245(in)-246(the)-245(Matrix-)]TJ 1 0 0 1 137.753 144.375 Tm [(Market)-250(format)]TJ 0 g 0 G [-515(.)-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 [-1000(145)]TJ 0 g 0 G -0 g 0 G - 129.649 -29.888 Td [(iii)]TJ -0 g 0 G -ET - -endstream 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[(is)-276(consistent)-275(with)-276(simple)-276(data)-276(distributi)1(ons)-276(such)-276(as)]TJ/F131 9.9626 Tf 1 0 0 1 332.842 646.353 Tm [(CYCLIC\050N\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 382.717 646.353 Tm [(and)]TJ/F131 9.9626 Tf 1 0 0 1 402.723 646.353 Tm [(BLOCK)]TJ/F84 9.9626 Tf 1.02 0 0 1 428.874 646.353 Tm [(,)-276(as)]TJ 1.02 0 0 1 99.477 634.398 Tm [(well)-256(as)-256(completely)-256(arbitrary)-256(assignments)-256(of)-256(equation)-256(indices)-256(to)-256(pr)18(ocesses.)-337(In)]TJ 1.002 0 0 1 99.596 622.443 Tm [(particular)-250(it)-250(is)-251(consistent)-250(with)-250(the)-250(usage)-250(of)-251(graph)-250(partitioning)-250(tools)-250(commonly)]TJ 1.02 0 0 1 99.895 610.488 Tm [(available)-288(in)-289(the)-288(literatur)18(e,)-299(e.g.)-434(METIS)-288([)]TJ 1 0 0 rg 1 0 0 RG - [(13)]TJ + 1 0 0 1 276.029 610.488 Tm [(13)]TJ 0 g 0 G - [(].)-558(Dense)-333(ve)1(ctors)-333(conform)-333(to)-332(sparse)]TJ 0 -11.955 Td [(matrices,)-257(that)-255(is,)-257(the)-255(entries)-255(of)-256(a)-255(vector)-255(follow)-256(the)-255(same)-255(distribution)-256(of)-255(the)-255(ma-)]TJ 0 -11.955 Td [(trix)-250(r)18(ows.)]TJ 14.944 -12.648 Td [(W)92(e)-343(assume)-344(that)-343(the)-344(sparse)-343(matrix)-343(is)-344(built)-343(in)-344(parallel,)-366(wher)18(e)-344(each)-343(pr)18(ocess)]TJ -14.944 -11.955 Td [(generates)-254(its)-254(own)-255(portion.)-322(W)92(e)-255(never)-254(r)18(equir)18(e)-254(that)-254(the)-255(entir)18(e)-254(matrix)-254(be)-254(available)]TJ 0 -11.955 Td [(on)-288(a)-288(single)-288(node.)-423(However)74(,)-298(it)-287(is)-288(possible)-288(to)-288(hold)-288(the)-288(entir)18(e)-288(matrix)-287(in)-288(one)-288(pr)18(o-)]TJ 0 -11.955 Td [(cess)-241(and)-242(distribute)-241(it)-241(explicitly)]TJ + 1.02 0 0 1 285.992 610.488 Tm [(].)-433(Dense)-289(vectors)-288(conform)-288(to)-288(sparse)]TJ 0.98 0 0 1 99.895 598.532 Tm [(matrices,)-228(that)-222(is,)-228(the)-221(entries)-221(of)-222(a)-221(vector)-222(follow)-221(the)-221(same)-222(distribution)-221(of)-221(the)-222(matrix)]TJ 1 0 0 1 99.895 586.577 Tm [(r)18(ows.)]TJ 1.02 0 0 1 114.839 573.93 Tm [(W)90(e)-290(assume)-290(that)-291(the)-290(sparse)-290(matrix)-290(is)-291(built)-290(in)-290(parallel,)-302(wher)18(e)-290(each)-291(pr)18(ocess)]TJ 1.002 0 0 1 99.895 561.974 Tm [(generates)-249(its)-249(own)-250(port)1(ion.)-310(W)92(e)-249(never)-249(r)18(equir)18(e)-250(th)1(at)-250(the)-249(entir)18(e)-249(matrix)-249(be)-249(available)]TJ 0.98 0 0 1 99.895 550.019 Tm [(on)-244(a)-244(single)-244(node.)-313(However)76(,)-247(it)-244(is)-244(possible)-244(to)-244(hold)-244(the)-244(entir)19(e)-244(matrix)-245(in)-244(one)-244(pr)19(ocess)]TJ 0.98 0 0 1 99.895 538.064 Tm [(and)-199(distr)1(ibute)-199(it)-198(explicitly)]TJ 0 0 1 rg 0 0 1 RG -/F62 7.5716 Tf 133.807 3.616 Td [(1)]TJ +/F84 7.5716 Tf 1 0 0 1 210.127 541.68 Tm [(1)]TJ 0 g 0 G -/F62 9.9626 Tf 4.284 -3.616 Td [(,)-243(even)-241(though)-242(the)-241(r)18(esulting)-241(memory)-241(bottleneck)]TJ -138.091 -11.955 Td [(would)-250(make)-250(this)-250(option)-250(unattractive)-250(in)-250(most)-250(cases.)]TJ/F59 11.9552 Tf 0 -33.074 Td [(2.1)-1000(Basic)-250(Nomenclature)]TJ/F62 9.9626 Tf 0 -20.306 Td [(Our)-301(computational)-301(model)-301(implies)-301(that)-301(the)-301(data)-301(al)1(location)-301(on)-301(the)-301(parallel)-301(dis-)]TJ 0 -11.955 Td [(tributed)-370(memory)-369(machine)-370(is)-370(guided)-370(by)-369(the)-370(str)8(uctur)18(e)-370(of)-370(the)-369(physical)-370(model,)]TJ 0 -11.955 Td [(and)-250(speci\002cally)-250(by)-250(the)-250(discr)18(etization)-250(mesh)-250(of)-250(the)-250(PDE.)]TJ 14.944 -12.648 Td [(Each)-400(point)-400(of)-400(the)-399(discr)18(etization)-400(mesh)-400(will)-400(have)-400(\050at)-400(least)1(\051)-400(one)-400(associated)]TJ -14.944 -11.955 Td [(equation/variable,)-416(and)-384(ther)18(efor)18(e)-383(one)-383(index.)-710(W)92(e)-383(say)-383(that)-384(point)]TJ/F60 9.9626 Tf 289.765 0 Td [(i)-403(depends)]TJ/F62 9.9626 Tf 42.709 0 Td [(on)]TJ -332.474 -11.955 Td [(point)]TJ/F60 9.9626 Tf 26.955 0 Td [(j)]TJ/F62 9.9626 Tf 6.004 0 Td [(if)-312(the)-312(equation)-312(for)-312(a)-312(variable)-313(associated)-312(with)]TJ/F60 9.9626 Tf 202.502 0 Td [(i)]TJ/F62 9.9626 Tf 6.074 0 Td [(contains)-312(a)-312(term)-312(in)]TJ/F60 9.9626 Tf 84.153 0 Td [(j)]TJ/F62 9.9626 Tf 2.894 0 Td [(,)-328(or)]TJ -328.582 -11.955 Td [(equivalently)-291(if)]TJ/F60 9.9626 Tf 67.321 0 Td [(a)]TJ/F60 7.5716 Tf 4.59 -1.96 Td [(i)-67(j)]TJ/F91 10.3811 Tf 8.967 1.96 Td [(6)]TJ/F93 10.3811 Tf 0.249 0 Td [(=)]TJ/F62 9.9626 Tf 11.726 0 Td [(0.)-434(After)-292(the)-291(partition)-292(of)-291(the)-292(discr)18(etization)-291(mesh)-292(into)]TJ/F60 9.9626 Tf 233.514 0 Td [(sub-)]TJ -326.367 -11.955 Td [(domains)]TJ/F62 9.9626 Tf 37.559 0 Td [(assigned)-381(to)-381(the)-381(parallel)-381(pr)18(ocesses,)-413(we)-381(classify)-381(the)-381(points)-381(of)-381(a)-381(given)]TJ -37.559 -11.955 Td [(sub-domain)-250(as)-250(following.)]TJ +/F84 9.9626 Tf 0.98 0 0 1 214.41 538.064 Tm [(,)-210(even)-198(though)-199(the)-198(r)18(esulting)-198(memory)-199(bottleneck)-198(would)]TJ 1 0 0 1 99.895 526.109 Tm [(make)-250(this)-250(option)-250(unattractive)-250(in)-250(most)-250(cases.)]TJ/F75 11.9552 Tf 0 -33.074 Td [(2.1)-1000(Basic)-250(Nomenclature)]TJ/F84 9.9626 Tf 1.02 0 0 1 99.895 472.73 Tm [(Our)-254(computational)-254(model)-255(implies)-254(that)-254(the)-254(data)-255(allocation)-254(on)-254(the)-254(parallel)-254(dis-)]TJ 0.981 0 0 1 99.895 460.774 Tm [(tributed)-254(memory)-253(machine)-254(is)-253(guided)-254(by)-253(the)-254(str)8(uctur)19(e)-254(of)-253(the)-254(physical)-254(model,)-253(and)]TJ 1 0 0 1 99.895 448.819 Tm [(speci\002cally)-250(by)-250(the)-250(discr)18(etization)-250(mesh)-250(of)-250(the)-250(PDE.)]TJ 1.02 0 0 1 114.839 436.172 Tm [(Each)-341(point)-341(of)-341(the)-341(discr)18(etization)-341(mesh)-341(will)-341(have)-341(\050at)-341(least\051)-341(one)-341(associated)]TJ 1.02 0 0 1 99.895 424.216 Tm [(equation/variable,)-353(and)-332(ther)18(efor)17(e)-331(one)-332(index.)-564(W)90(e)-331(say)-332(that)-332(point)]TJ/F78 9.9626 Tf 1 0 0 1 389.687 424.216 Tm [(i)]TJ 1.02 0 0 1 396.022 424.216 Tm [(depends)]TJ/F84 9.9626 Tf 1.02 0 0 1 432.144 424.216 Tm [(on)]TJ 1.02 0 0 1 99.596 412.261 Tm [(point)]TJ/F78 9.9626 Tf 1 0 0 1 126.7 412.261 Tm [(j)]TJ/F84 9.9626 Tf 1.02 0 0 1 132.384 412.261 Tm [(if)-275(the)-274(equation)-275(for)-274(a)-275(variable)-275(associated)-274(with)]TJ/F78 9.9626 Tf 1 0 0 1 335.887 412.261 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 341.641 412.261 Tm [(contains)-275(a)-274(term)-275(in)]TJ/F78 9.9626 Tf 1 0 0 1 425.943 412.261 Tm [(j)]TJ/F84 9.9626 Tf 1.02 0 0 1 428.837 412.261 Tm [(,)-282(or)]TJ 1.02 0 0 1 99.895 400.306 Tm [(equivalently)-262(if)]TJ/F78 9.9626 Tf 1 0 0 1 167.957 400.306 Tm [(a)]TJ/F78 7.5716 Tf 4.59 -1.96 Td [(i)-67(j)]TJ/F179 10.3811 Tf 8.519 1.96 Td [(6)]TJ/F181 10.3811 Tf 0.249 0 Td [(=)]TJ/F84 9.9626 Tf 1.02 0 0 1 192.593 400.306 Tm [(0.)-355(After)-261(the)-262(partition)-262(of)-262(the)-262(discr)17(etizat)1(ion)-262(mesh)-262(into)]TJ/F78 9.9626 Tf 1.02 0 0 1 427.569 400.306 Tm [(sub-)]TJ 1.02 0 0 1 99.895 388.351 Tm [(domains)]TJ/F84 9.9626 Tf 1.02 0 0 1 137.642 388.351 Tm [(assigned)-326(to)-325(the)-326(parallel)-325(pr)17(ocesses,)-346(we)-325(classify)-326(the)-325(points)-326(of)-326(a)-325(given)]TJ 1 0 0 1 99.895 376.396 Tm [(sub-domain)-250(as)-250(following.)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -22.003 Td [(Internal.)]TJ +/F75 9.9626 Tf 0 -22.003 Td [(Internal.)]TJ 0 g 0 G -/F62 9.9626 Tf 43.995 0 Td [(An)-359(internal)-359(poi)1(nt)-359(of)-359(a)-359(given)-359(domain)]TJ/F60 9.9626 Tf 168.65 0 Td [(depends)]TJ/F62 9.9626 Tf 35.684 0 Td [(only)-359(on)-359(points)-358(of)-359(the)]TJ -223.422 -11.955 Td [(same)-264(domain.)-351(If)-264(all)-264(points)-264(of)-264(a)-264(domain)-263(ar)18(e)-264(assigned)-264(to)-264(one)-264(pr)18(ocess,)-267(then)]TJ 0 -11.956 Td [(a)-196(computational)-196(step)-195(\050e.g.,)-207(a)-196(matrix-vector)-196(pr)18(oduct\051)-196(of)-195(the)-196(equations)-196(asso-)]TJ 0 -11.955 Td [(ciated)-214(with)-213(the)-214(internal)-214(points)-214(r)18(equir)18(es)-213(no)-214(data)-214(items)-214(fr)18(om)-213(other)-214(domains)]TJ 0 -11.955 Td [(and)-250(no)-250(communications.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 143.502 354.393 Tm [(An)-313(internal)-313(poin)1(t)-313(of)-313(a)-313(given)-313(domain)]TJ/F78 9.9626 Tf 1.02 0 0 1 312.255 354.393 Tm [(depends)]TJ/F84 9.9626 Tf 1.02 0 0 1 348.185 354.393 Tm [(only)-313(on)-313(points)-312(of)-313(the)]TJ 1.02 0 0 1 124.802 342.438 Tm [(same)-387(domain.)-729(If)-387(all)-387(points)-387(of)-386(a)-387(domain)-387(ar)18(e)-387(assigned)-387(to)-387(one)-387(pr)18(ocess,)]TJ 0.991 0 0 1 124.802 330.483 Tm [(then)-252(a)-252(computational)-251(step)-252(\050e.g.,)-252(a)-252(matrix-vector)-252(pr)19(oduct\051)-252(of)-252(the)-252(equations)]TJ 1.02 0 0 1 124.802 318.527 Tm [(associated)-369(wit)1(h)-369(the)-369(internal)-368(points)-369(r)18(equir)18(es)-369(no)-368(data)-369(items)-368(fr)17(om)-368(other)]TJ 1 0 0 1 124.802 306.572 Tm [(domains)-250(and)-250(no)-250(communications.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -22.695 Td [(Boundary)92(.)]TJ +/F75 9.9626 Tf -24.907 -22.695 Td [(Boundary)92(.)]TJ 0 g 0 G -/F62 9.9626 Tf 51.397 0 Td [(A)-192(point)-191(of)-192(a)-192(given)-191(domain)-192(is)-192(a)-191(boundary)-192(point)-192(if)-191(it)]TJ/F60 9.9626 Tf 217.552 0 Td [(depends)]TJ/F62 9.9626 Tf 34.019 0 Td [(on)-192(points)]TJ -278.061 -11.955 Td [(belonging)-250(to)-250(other)-250(domains.)]TJ +/F84 9.9626 Tf 0.98 0 0 1 150.904 283.877 Tm [(A)-237(point)-237(of)-238(a)-237(given)-237(domain)-238(is)-237(a)-237(boundary)-237(point)-238(if)-237(it)]TJ/F78 9.9626 Tf 0.98 0 0 1 369.449 283.877 Tm [(depends)]TJ/F84 9.9626 Tf 0.98 0 0 1 403.233 283.877 Tm [(on)-237(points)]TJ 1 0 0 1 124.802 271.922 Tm [(belonging)-250(to)-250(other)-250(domains.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -22.696 Td [(Halo.)]TJ +/F75 9.9626 Tf -24.907 -22.695 Td [(Halo.)]TJ 0 g 0 G -/F62 9.9626 Tf 29.609 0 Td [(A)-389(halo)-389(point)-389(for)-389(a)-389(given)-389(domain)-389(i)1(s)-389(a)-389(point)-389(belonging)-389(to)-389(another)-389(do-)]TJ -4.702 -11.955 Td [(main)-267(such)-267(that)-266(ther)18(e)-267(is)-267(a)-267(boundary)-267(point)-266(which)]TJ/F60 9.9626 Tf 212.474 0 Td [(depends)]TJ/F62 9.9626 Tf 34.767 0 Td [(on)-267(it.)-360(Whenever)]TJ -247.241 -11.955 Td [(performing)-360(a)-361(computational)-360(step,)-388(such)-361(as)-360(a)-361(matrix-vector)-360(pr)18(oduct,)-388(the)]TJ 0 -11.955 Td [(values)-274(associated)-273(with)-274(halo)-274(points)-274(ar)18(e)-274(r)18(equested)-273(fr)18(om)-274(other)-274(domains.)-381(A)]TJ 0 -11.955 Td [(boundary)-259(point)-258(of)-259(a)-258(given)-259(domain)-258(is)-259(usually)-258(a)-259(halo)-258(point)-259(for)-259(some)-258(other)]TJ 0 -11.956 Td [(domain)]TJ +/F84 9.9626 Tf 1.02 0 0 1 129.116 249.227 Tm [(A)-357(halo)-357(point)-356(for)-357(a)-357(given)-357(domain)-357(is)-357(a)-357(point)-356(belonging)-357(to)-357(another)-357(do-)]TJ 1.009 0 0 1 124.802 237.271 Tm [(main)-247(such)-248(that)-247(ther)17(e)-247(is)-248(a)-247(boundary)-248(poi)1(nt)-248(which)]TJ/F78 9.9626 Tf 1.009 0 0 1 337.442 237.271 Tm [(depends)]TJ/F84 9.9626 Tf 1.009 0 0 1 372.328 237.271 Tm [(on)-248(it)1(.)-308(Whenever)]TJ 1.02 0 0 1 124.503 225.316 Tm [(performing)-297(a)-297(computational)-298(step,)-310(such)-297(as)-297(a)-297(matrix-vector)-298(pr)18(oduct,)-310(the)]TJ 1.012 0 0 1 124.523 213.361 Tm [(values)-247(associated)-247(with)-247(halo)-248(points)-247(ar)18(e)-247(r)18(equested)-248(fr)18(om)-247(other)-247(domains.)-307(A)]TJ 1.005 0 0 1 124.802 201.406 Tm [(boundary)-248(point)-248(of)-247(a)-248(given)-248(domain)-248(is)-248(usually)-248(a)-247(halo)-248(point)-248(for)-248(some)-248(other)]TJ 0.994 0 0 1 124.802 189.451 Tm [(domain)]TJ 0 0 1 rg 0 0 1 RG -/F62 7.5716 Tf 34.002 3.617 Td [(2)]TJ +/F84 7.5716 Tf 1 0 0 1 158.6 193.067 Tm [(2)]TJ 0 g 0 G -/F62 9.9626 Tf 4.284 -3.617 Td [(;)-238(ther)18(efor)18(e)-232(the)-233(car)18(dinality)-232(of)-232(the)-232(boundary)-233(p)1(oints)-233(set)-232(denotes)-232(the)]TJ -38.286 -11.955 Td [(amount)-250(of)-250(data)-250(sent)-250(to)-250(other)-250(domains.)]TJ +/F84 9.9626 Tf 0.994 0 0 1 162.884 189.451 Tm [(;)-252(ther)18(efor)18(e)-252(the)-252(car)18(dinality)-251(of)-252(the)-252(boundary)-252(points)-252(set)-252(denotes)-252(the)]TJ 1 0 0 1 124.802 177.496 Tm [(amount)-250(of)-250(data)-250(sent)-250(to)-250(other)-250(domains.)]TJ 0 g 0 G ET q @@ -4730,27 +4723,27 @@ q []0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F62 5.9776 Tf 110.755 161.427 Td [(1)]TJ/F62 7.9701 Tf 3.487 -2.893 Td [(In)-250(our)-250(pr)18(ototype)-250(implementation)-250(we)-250(pr)18(ovide)-250(sample)-250(scatter/gather)-250(r)18(outines.)]TJ/F62 5.9776 Tf -3.487 -6.922 Td [(2)]TJ/F62 7.9701 Tf 3.487 -2.893 Td [(This)-401(is)-402(the)-401(normal)-402(situation)-401(when)-402(the)-401(pattern)-402(of)-401(the)-402(sparse)-401(matrix)-402(is)-401(symmetric,)-440(which)-401(is)]TJ -14.347 -9.464 Td [(equivalent)-358(to)-358(say)-358(that)-358(the)-357(interaction)-358(between)-358(two)-358(variables)-358(is)-358(r)18(ecipr)18(ocal.)-634(If)-357(the)-358(matrix)-358(pattern)]TJ 0 -9.465 Td [(is)-241(non-symmetric)-241(we)-242(may)-241(have)-241(one-way)-241(interactions,)-243(and)-241(these)-241(could)-241(cause)-242(a)-241(situation)-241(in)-241(which)-241(a)]TJ 0 -9.464 Td [(boundary)-250(point)-250(is)-250(not)-250(a)-250(halo)-250(point)-250(for)-250(its)-250(neighbour)74(.)]TJ +/F84 5.9776 Tf 110.755 161.427 Td [(1)]TJ/F84 7.9701 Tf 3.487 -2.893 Td 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9.9626 Tf 1 0 0 1 317.681 333.794 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 0.981 0 0 1 367.241 333.794 Tm [(perform)-254(the)-255(same)]TJ 1.02 0 0 1 124.802 321.839 Tm [(action)-359(\050see)]TJ 0 0 1 rg 0 0 1 RG - [-246(6)]TJ + [-359(6)]TJ 0 g 0 G - [(\051)-247(on)-246(dense)-247(matrices,)-247(sparse)-247(matric)1(es)-247(and)-247(communication)-246(de-)]TJ 0 -11.956 Td [(scriptors)-222(r)18(espectively)111(.)-301(Interface)-222(overloading)-223(allows)-222(the)-222(usage)-222(of)-223(the)-222(same)]TJ 0 -11.955 Td [(subr)18(outine)-250(names)-250(for)-250(both)-250(r)18(eal)-250(and)-250(complex)-250(data.)]TJ -24.907 -23.137 Td [(In)-288(the)-288(description)-288(of)-289(the)-288(subr)18(outines,)-297(ar)18(guments)-289(or)-288(ar)18(gument)-288(entries)-288(ar)18(e)-288(clas-)]TJ 0 -11.955 Td [(si\002ed)-250(as:)]TJ + [(\051)-360(on)-359(dense)-359(matrices,)-388(sparse)-359(matrices)-359(and)-360(communication)]TJ 1.02 0 0 1 124.802 309.883 Tm [(descriptors)-308(r)18(espectively)109(.)-492(Interface)-307(overloading)-308(allows)-308(the)-307(usage)-308(of)-308(the)]TJ 1 0 0 1 124.802 297.928 Tm [(same)-250(subr)18(outine)-250(names)-250(for)-250(both)-250(r)18(eal)-250(and)-250(complex)-250(data.)]TJ 0.996 0 0 1 99.895 274.791 Tm [(In)-252(the)-252(description)-251(of)-252(the)-252(subr)18(outines,)-252(ar)18(guments)-251(or)-252(ar)18(gument)-252(entries)-252(ar)18(e)-251(classi-)]TJ 1 0 0 1 99.895 262.836 Tm [(\002ed)-250(as:)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -23.137 Td [(global)]TJ +/F75 9.9626 Tf 0 -23.137 Td [(global)]TJ 0 g 0 G -/F62 9.9626 Tf 33.763 0 Td [(For)-270(input)-270(ar)18(guments,)-275(the)-270(value)-271(must)-270(be)-270(the)-270(same)-270(on)-270(all)-270(pr)18(ocesses)-270(par)18(-)]TJ -8.856 -11.955 Td [(ticipating)-276(in)-277(the)-276(subr)18(outine)-277(call;)-289(for)-277(output)-276(ar)18(guments)-277(the)-276(value)-277(is)-276(guar)18(-)]TJ 0 -11.955 Td [(anteed)-250(to)-250(be)-250(the)-250(same.)]TJ +/F84 9.9626 Tf 0.98 0 0 1 133.659 239.699 Tm [(For)-223(input)-223(ar)19(guments,)-230(the)-223(value)-222(must)-223(be)-223(the)-223(same)-223(on)-223(all)-223(pr)18(ocesses)-222(partici-)]TJ 0.98 0 0 1 124.503 227.744 Tm [(pating)-220(in)-219(the)-220(subr)18(outine)-219(call;)-232(for)-220(output)-219(ar)18(guments)-220(the)-219(value)-220(is)-220(guaranteed)]TJ 1 0 0 1 124.802 215.789 Tm [(to)-250(be)-250(the)-250(same.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -24.208 Td [(local)]TJ +/F75 9.9626 Tf -24.907 -24.208 Td [(local)]TJ 0 g 0 G -/F62 9.9626 Tf 26.56 0 Td [(Each)-250(pr)18(ocess)-250(has)-250(its)-250(own)-250(value\050s\051)-250(independently)111(.)]TJ -26.56 -23.137 Td [(T)92(o)-250(\002nish)-250(our)-250(general)-250(description,)-250(we)-250(de\002ne)-250(a)-250(version)-250(string)-250(with)-250(the)-250(constant)]TJ/F67 9.9626 Tf 122.168 -24.059 Td [(psb_version_string_)]TJ/F62 9.9626 Tf -122.168 -24.059 Td [(whose)-250(curr)18(ent)-250(value)-250(is)]TJ/F67 9.9626 Tf 101.857 0 Td [(3.8.0)]TJ +/F84 9.9626 Tf 26.561 0 Td [(Each)-250(pr)18(ocess)-250(has)-250(its)-250(own)-250(value\050s\051)-250(independently)111(.)]TJ -26.869 -23.137 Td [(T)92(o)-250(\002nish)-250(our)-250(general)-250(description,)-250(we)-250(de\002ne)-250(a)-250(version)-250(string)-250(with)-250(the)-250(constant)]TJ/F131 9.9626 Tf 122.476 -24.059 Td [(psb_version_string_)]TJ/F84 9.9626 Tf -122.586 -24.059 Td [(whose)-250(curr)18(ent)-250(value)-250(is)]TJ/F131 9.9626 Tf 101.857 0 Td [(3.8.0)]TJ 0 g 0 G -/F62 9.9626 Tf 67.508 -29.888 Td [(5)]TJ +/F84 9.9626 Tf 67.926 -29.888 Td [(5)]TJ 0 g 0 G ET endstream endobj -946 0 obj +949 0 obj << -/Length 8496 +/Length 9679 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(2.3)-1000(Application)-250(structure)]TJ/F62 9.9626 Tf 0 -19.381 Td [(The)-244(main)-244(underlyi)1(ng)-244(principle)-244(of)-244(the)-244(PSBLAS)-243(library)-244(is)-244(that)-244(the)-243(library)-244(objects)]TJ 0 -11.956 Td [(ar)18(e)-236(cr)18(eated)-235(and)-236(exist)-235(with)-236(r)18(efer)18(ence)-235(to)-236(a)-235(discr)18(etized)-236(space)-236(t)1(o)-236(which)-236(ther)18(e)-235(corr)18(e-)]TJ 0 -11.955 Td [(sponds)-258(an)-257(index)-258(space)-257(and)-258(a)-258(matrix)-257(sparsity)-258(pattern.)-332(As)-258(an)-258(example,)-259(consider)]TJ 0 -11.955 Td [(a)-310(cell-center)18(ed)-309(\002nite-volume)-310(discr)18(etization)-310(of)-309(the)-310(Navier)18(-Stokes)-310(e)1(quations)-310(on)]TJ 0 -11.955 Td [(a)-234(simulation)-235(domain;)-239(the)-234(index)-235(space)-234(1)-179(.)-192(.)-192(.)]TJ/F60 9.9626 Tf 185.595 0 Td [(n)]TJ/F62 9.9626 Tf 7.998 0 Td [(is)-234(isomorphic)-235(to)-234(the)-234(set)-235(of)-234(cell)-234(cen-)]TJ -193.593 -11.955 Td [(ters,)-210(wher)18(eas)-200(the)-201(pattern)-200(of)-200(the)-201(associated)-200(linear)-200(system)-200(matrix)-201(is)-200(isomorphic)-200(to)]TJ 0 -11.956 Td [(the)-294(adjacency)-294(graph)-294(imposed)-294(on)-294(the)-294(discr)18(et)1(ization)-294(mesh)-294(by)-294(the)-294(discr)18(etization)]TJ 0 -11.955 Td [(stencil.)]TJ 14.944 -12.17 Td [(Thus)-343(the)-343(\002rst)-343(or)18(der)-344(of)-343(business)-343(is)-343(to)-343(establish)-343(an)-343(index)-343(space,)-367(and)-343(this)-343(is)]TJ -14.944 -11.955 Td [(done)-287(with)-287(a)-287(call)-287(to)]TJ/F67 9.9626 Tf 85.52 0 Td [(psb_cdall)]TJ/F62 9.9626 Tf 49.932 0 Td [(in)-287(which)-287(we)-287(specify)-287(the)-287(size)-287(of)-287(the)-287(index)-287(space)]TJ/F60 9.9626 Tf -135.328 -11.956 Td [(n)]TJ/F62 9.9626 Tf 8.041 0 Td [(and)-238(the)-239(allocation)-238(of)-239(the)-239(ele)1(ments)-239(of)-239(the)-238(index)-239(space)-238(to)-239(the)-238(various)-239(pr)18(ocesses)]TJ -8.165 -11.955 Td [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 14.944 -12.17 Td [(The)-366(index)-367(space)-366(is)-366(partitioned)-367(among)-366(pr)18(ocesses,)-396(and)-366(this)-366(cr)18(eates)-367(a)-366(map-)]TJ -14.944 -11.956 Td [(ping)-301(fr)18(om)-300(the)-301(\223global\224)-301(numbering)-300(1)-180(.)-191(.)-192(.)]TJ/F60 9.9626 Tf 176.584 0 Td [(n)]TJ/F62 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F60 9.9626 Tf 79.682 0 Td [(i)]TJ/F62 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F60 9.9626 Tf 130.532 0 Td [(n)]TJ/F62 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F60 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F62 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F60 9.9626 Tf 177.035 0 Td [(n)]TJ/F62 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F60 9.9626 Tf 129.74 0 Td [(n)]TJ/F62 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F67 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F62 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F67 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F62 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F67 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F62 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F67 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F62 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F67 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F62 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F60 9.9626 Tf 59.13 0 Td [(i)]TJ/F62 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F60 9.9626 Tf 34.731 0 Td [(n)]TJ/F62 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F60 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F93 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F62 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F60 9.9626 Tf 19.967 0 Td [(n)]TJ/F62 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F60 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F62 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F60 9.9626 Tf 215.582 0 Td [(not)]TJ/F62 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F60 9.9626 Tf 88.744 0 Td [(i)]TJ/F62 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F60 9.9626 Tf 269.662 0 Td [(A)]TJ/F62 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td [(space)-294(is)-293(built)-294(exactly)-294(for)-293(the)-294(purpose)-294(of)-293(pr)18(operly)-294(sequencing)-294(the)-293(communica-)]TJ 0 -11.955 Td [(tion)-250(steps)-250(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 14.944 -12.17 Td [(A)-197(simple)-197(application)-197(str)8(uctur)18(e)-197(will)-197(walk)-197(thr)18(ough)-197(the)-197(index)-197(space)-197(allocation,)]TJ -14.944 -11.956 Td [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(2.3)-1000(Application)-250(structure)]TJ/F84 9.9626 Tf 0.999 0 0 1 150.396 686.748 Tm [(The)-249(main)-249(underlying)-250(principle)-249(of)-249(the)-249(PSBLAS)-250(library)-249(is)-249(that)-249(the)-250(l)1(ibrary)-250(objects)]TJ 0.999 0 0 1 150.705 674.792 Tm [(ar)18(e)-251(cr)18(eated)-251(and)-251(exist)-251(with)-251(r)18(efer)18(ence)-251(to)-251(a)-251(discr)18(etized)-251(space)-251(to)-251(which)-251(ther)18(e)-251(corr)18(e-)]TJ 0.98 0 0 1 150.705 662.837 Tm [(sponds)-255(an)-254(index)-255(space)-255(and)-254(a)-255(matrix)-255(sparsity)-254(pattern.)-316(As)-255(an)-255(example,)-255(consi)1(der)-255(a)]TJ 1.015 0 0 1 150.705 650.882 Tm [(cell-center)18(ed)-246(\002nite-volume)-246(discr)18(etization)-246(of)-246(the)-246(Navier)18(-Stokes)-246(equations)-245(on)-246(a)]TJ 0.98 0 0 1 150.705 638.927 Tm [(simulation)-233(domain;)-240(the)-233(index)-233(space)-232(1)]TJ 1 0 0 1 312.466 638.927 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(n)]TJ/F84 9.9626 Tf 0.98 0 0 1 333.604 638.927 Tm [(is)-233(isomorphic)-233(to)-232(the)-233(set)-233(of)-233(cell)-233(centers,)]TJ 1.02 0 0 1 150.286 626.972 Tm [(wher)18(eas)-332(the)-332(pattern)-332(of)-332(the)-332(associated)-332(linear)-332(system)-332(matrix)-332(is)-332(isomorphic)-332(to)]TJ 1.014 0 0 1 150.705 615.017 Tm [(the)-246(adjacency)-246(graph)-247(imposed)-246(on)-246(the)-246(discr)17(etization)-246(mesh)-246(by)-246(the)-247(discr)18(etization)]TJ 1 0 0 1 150.705 603.061 Tm [(stencil.)]TJ 1.02 0 0 1 165.649 590.891 Tm [(Thus)-298(the)-297(\002rst)-298(or)18(der)-298(of)-297(business)-298(is)-298(to)-297(establish)-298(an)-297(index)-298(space,)-311(and)-297(this)-298(is)]TJ 0.989 0 0 1 150.705 578.936 Tm [(done)-253(with)-253(a)-253(call)-253(to)]TJ/F131 9.9626 Tf 1 0 0 1 233.611 578.936 Tm [(psb_cdall)]TJ/F84 9.9626 Tf 0.989 0 0 1 283.177 578.936 Tm [(in)-253(which)-253(we)-253(specify)-253(the)-253(size)-253(of)-253(the)-253(index)-253(space)]TJ/F78 9.9626 Tf 1 0 0 1 488.752 578.936 Tm [(n)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.705 566.98 Tm [(and)-249(the)-250(allocation)-249(of)-250(the)-249(elements)-250(of)-249(the)-250(index)-249(space)-250(to)-249(the)-250(various)-249(pr)17(ocesses)]TJ 1 0 0 1 150.705 555.025 Tm [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 0.987 0 0 1 165.649 542.855 Tm [(The)-254(index)-255(space)-254(is)-254(partitioned)-254(among)-255(pr)19(ocesses,)-255(and)-254(this)-254(cr)18(eates)-254(a)-255(mapping)]TJ 1.02 0 0 1 150.705 530.899 Tm [(fr)18(om)-313(the)-312(\223global\224)-313(numbering)-312(1)]TJ 1 0 0 1 294.115 530.899 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(n)]TJ/F84 9.9626 Tf 1.02 0 0 1 316.154 530.899 Tm [(to)-312(a)-313(numbering)-312(\223local\224)-313(to)-312(each)-312(pr)17(ocess;)]TJ 1.02 0 0 1 150.705 518.944 Tm [(each)-357(pr)17(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 211.881 518.944 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 218.474 518.944 Tm [(will)-357(own)-357(a)-358(certain)-357(subset)-357(1)]TJ 1 0 0 1 345.057 518.944 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)]TJ/F84 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F78 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 384.233 518.944 Tm [(,)-385(each)-357(element)-358(of)-357(which)]TJ 1.004 0 0 1 150.705 506.989 Tm [(corr)18(esponds)-250(to)-249(a)-250(certain)-249(element)-250(of)-249(1)]TJ 1 0 0 1 314.664 506.989 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)]TJ/F84 9.9626 Tf 1.004 0 0 1 333.528 506.989 Tm [(.)-311(The)-249(user)-250(does)-249(not)-250(set)-249(explicitly)-250(this)]TJ 0.987 0 0 1 150.705 495.034 Tm [(mapping;)-253(when)-254(the)-253(application)-253(needs)-254(to)-253(indicate)-253(to)-254(which)-253(element)-253(of)-254(the)-253(index)]TJ 1.02 0 0 1 150.705 483.079 Tm [(space)-263(a)-262(certain)-263(item)-263(is)-262(r)17(elated,)-267(such)-262(as)-263(the)-263(r)18(ow)-263(and)-262(column)-263(index)-263(of)-262(a)-263(matrix)]TJ 1.011 0 0 1 150.705 471.124 Tm [(coef)18(\002cient,)-246(it)-247(does)-246(so)-246(in)-246(the)-246(\223global\224)-247(numbering,)-246(and)-246(the)-246(library)-247(will)-246(translate)]TJ 1 0 0 1 150.705 459.168 Tm [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 0.98 0 0 1 165.649 446.998 Tm [(For)-242(a)-242(given)-241(index)-242(space)-242(1)]TJ 1 0 0 1 275.866 446.998 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(n)]TJ/F84 9.9626 Tf 0.98 0 0 1 297.092 446.998 Tm [(ther)18(e)-241(ar)18(e)-242(many)-242(possible)-241(associated)-242(topologies,)]TJ 0.98 0 0 1 150.705 435.043 Tm [(i.e.)-308(many)-230(dif)18(fer)18(ent)-230(discr)19(etization)-230(stencils;)-239(thus)-230(the)-230(description)-230(of)-230(the)-230(index)-230(space)]TJ 1.011 0 0 1 150.705 423.087 Tm [(is)-247(not)-247(completed)-248(until)-247(the)-247(user)-247(has)-247(de\002ned)-248(a)-247(sparsity)-247(pattern,)-247(either)-247(explicitly)]TJ 0.98 0 0 1 150.705 411.132 Tm [(thr)18(ough)]TJ/F131 9.9626 Tf 1 0 0 1 187.885 411.132 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 0.98 0 0 1 237.267 411.132 Tm [(or)-237(implicit)1(ly)-237(thr)18(ough)]TJ/F131 9.9626 Tf 1 0 0 1 329.893 411.132 Tm [(psb_spins)]TJ/F84 9.9626 Tf 0.98 0 0 1 376.967 411.132 Tm [(.)-310(The)-237(descriptor)-236(is)-237(\002nalized)]TJ 1.02 0 0 1 150.286 399.177 Tm [(with)-294(a)-294(call)-293(to)]TJ/F131 9.9626 Tf 1 0 0 1 212.338 399.177 Tm [(psb_cdasb)]TJ/F84 9.9626 Tf 1.02 0 0 1 262.397 399.177 Tm [(and)-294(a)-294(sparse)-293(matrix)-294(with)-294(a)-294(call)-294(to)]TJ/F131 9.9626 Tf 1 0 0 1 416.944 399.177 Tm [(psb_spasb)]TJ/F84 9.9626 Tf 1.02 0 0 1 464.017 399.177 Tm [(.)-450(After)]TJ/F131 9.9626 Tf 1 0 0 1 150.705 387.222 Tm [(psb_cdasb)]TJ/F84 9.9626 Tf 1.001 0 0 1 200.273 387.222 Tm [(each)-250(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 258.173 387.222 Tm [(i)]TJ/F84 9.9626 Tf 1.001 0 0 1 263.632 387.222 Tm [(will)-250(have)-250(de\002ned)-251(a)-250(set)-250(of)-250(\223halo\224)-250(\050or)-251(\223ghost\224\051)-250(indices)]TJ/F78 9.9626 Tf 1 0 0 1 150.829 375.267 Tm [(n)]TJ/F84 9.9626 Tf 5.664 -1.495 Td [(r)18(ow)]TJ/F78 5.9776 Tf 17.537 -1.648 Td [(i)]TJ/F181 10.3811 Tf 4.655 3.143 Td [(+)]TJ/F84 9.9626 Tf 0.98 0 0 1 188.635 375.267 Tm [(1)]TJ 1 0 0 1 195.301 375.267 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(n)]TJ/F84 9.9626 Tf 5.663 -3.831 Td [(col)]TJ/F78 5.9776 Tf 12.795 -1.648 Td [(i)]TJ/F84 9.9626 Tf 0.98 0 0 1 229.735 375.267 Tm [(,)-239(denoting)-235(elements)-235(of)-235(the)-235(index)-235(space)-235(that)-235(ar)18(e)]TJ/F78 9.9626 Tf 0.98 0 0 1 430.544 375.267 Tm [(not)]TJ/F84 9.9626 Tf 0.98 0 0 1 445.853 375.267 Tm [(assigned)-235(to)]TJ 1.01 0 0 1 150.406 361.477 Tm [(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 186.098 361.477 Tm [(i)]TJ/F84 9.9626 Tf 1.01 0 0 1 189.062 361.477 Tm [(;)-247(however)-246(the)-247(variables)-246(associated)-247(with)-246(them)-247(ar)18(e)-247(needed)-246(to)-247(complete)]TJ 1.02 0 0 1 150.705 349.522 Tm [(computations)-284(associated)-284(with)-285(the)-284(sparse)-284(matrix)]TJ/F78 9.9626 Tf 1 0 0 1 369.566 349.522 Tm [(A)]TJ/F84 9.9626 Tf 1.02 0 0 1 376.883 349.522 Tm [(,)-294(and)-284(thus)-284(they)-285(have)-284(to)-284(be)]TJ 1.02 0 0 1 150.705 337.567 Tm [(fetched)-303(fr)18(om)-304(\050neighbouring)1(\051)-304(pr)18(ocesses.)-478(The)-303(descriptor)-303(of)-303(the)-303(index)-304(space)-303(is)]TJ 1.007 0 0 1 150.705 325.612 Tm [(built)-249(exactly)-248(for)-249(the)-249(purpose)-249(of)-248(pr)18(operly)-249(sequencing)-249(the)-249(communication)-248(steps)]TJ 1 0 0 1 150.705 313.656 Tm [(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 0.987 0 0 1 165.649 301.486 Tm [(A)-253(simple)-253(application)-254(str)9(uctur)18(e)-253(will)-254(walk)-253(thr)18(ough)-253(the)-253(index)-253(space)-253(allocation,)]TJ 1 0 0 1 150.705 289.531 Tm [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ 0 g 0 G - 12.453 -20.571 Td [(1.)]TJ + 12.453 -20.572 Td [(1.)]TJ 0 g 0 G - [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F67 9.9626 Tf 171.465 0 Td [(psb_init)]TJ/F62 9.9626 Tf 41.843 0 Td [(;)]TJ + [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F131 9.9626 Tf 171.465 0 Td [(psb_init)]TJ/F84 9.9626 Tf 41.843 0 Td [(;)]TJ 0 g 0 G -213.308 -20.787 Td [(2.)]TJ 0 g 0 G - [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F67 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)]TJ + [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F131 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G - -177.562 -20.788 Td [(3.)]TJ + -177.562 -20.787 Td [(3.)]TJ 0 g 0 G - [-500(Allocate)-193(sparse)-193(matrix)-193(and)-194(dense)-193(vectors)-193(with)]TJ/F67 9.9626 Tf 213.906 0 Td [(psb_spall)]TJ/F62 9.9626 Tf 48.997 0 Td [(and)]TJ/F67 9.9626 Tf 18.791 0 Td [(psb_geall)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)]TJ + 0.983 0 0 1 175.223 227.385 Tm [(Allocate)-254(sparse)-255(matrix)-254(and)-254(dense)-254(vectors)-255(with)]TJ/F131 9.9626 Tf 1 0 0 1 377.444 227.385 Tm [(psb_spall)]TJ/F84 9.9626 Tf 0.983 0 0 1 427.008 227.385 Tm [(and)]TJ/F131 9.9626 Tf 1 0 0 1 446.079 227.385 Tm [(psb_geall)]TJ/F84 9.9626 Tf 0.983 0 0 1 493.152 227.385 Tm [(;)]TJ 0 g 0 G - -328.767 -20.787 Td [(4.)]TJ + 1 0 0 1 163.158 206.597 Tm [(4.)]TJ 0 g 0 G - [-500(Loop)-320(over)-320(all)-320(local)-320(r)18(ows,)-338(generate)-320(matrix)-320(and)-320(vector)-320(entries,)-337(and)-320(insert)]TJ 12.453 -11.955 Td [(them)-250(with)]TJ/F67 9.9626 Tf 47.85 0 Td [(psb_spins)]TJ/F62 9.9626 Tf 49.564 0 Td [(and)]TJ/F67 9.9626 Tf 19.357 0 Td [(psb_geins)]TJ + 1.02 0 0 1 175.611 206.597 Tm [(Loop)-265(over)-265(all)-266(local)-265(r)18(ows,)-270(generate)-266(matrix)-265(and)-265(vector)-265(entries,)-271(and)-265(insert)]TJ 1 0 0 1 175.611 194.642 Tm [(them)-250(with)]TJ/F131 9.9626 Tf 47.85 0 Td [(psb_spins)]TJ/F84 9.9626 Tf 49.564 0 Td [(and)]TJ/F131 9.9626 Tf 19.357 0 Td [(psb_geins)]TJ 0 g 0 G -/F62 9.9626 Tf -129.224 -20.787 Td [(5.)]TJ +/F84 9.9626 Tf -129.224 -20.787 Td [(5.)]TJ 0 g 0 G - [-500(Assemble)-250(the)-250(various)-250(entities:)]TJ + [-461(Assemble)-250(the)-250(various)-250(entities:)]TJ 0 g 0 G 17.774 -20.787 Td [(\050a\051)]TJ 0 g 0 G -/F67 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ/F62 9.9626 Tf 47.073 0 Td [(,)]TJ +/F131 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(,)]TJ 0 g 0 G -64.198 -16.371 Td [(\050b\051)]TJ 0 g 0 G -/F67 9.9626 Tf 17.125 0 Td [(psb_spasb)]TJ/F62 9.9626 Tf 47.073 0 Td [(,)]TJ +/F131 9.9626 Tf 17.125 0 Td [(psb_spasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(,)]TJ 0 g 0 G -63.112 -16.371 Td [(\050c\051)]TJ 0 g 0 G -/F67 9.9626 Tf 16.039 0 Td [(psb_geasb)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)]TJ +/F131 9.9626 Tf 16.039 0 Td [(psb_geasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G 75.468 -29.888 Td [(6)]TJ 0 g 0 G @@ -4977,73 +4970,73 @@ ET endstream endobj -959 0 obj +962 0 obj << -/Length 8091 +/Length 8953 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F62 9.9626 Tf 112.349 706.129 Td [(6.)]TJ +/F84 9.9626 Tf 112.349 706.129 Td [(6.)]TJ 0 g 0 G - [-500(Choose)-216(t)1(he)-216(pr)18(econditioner)-216(t)1(o)-216(be)-216(used)-215(with)]TJ/F67 9.9626 Tf 199.607 0 Td [(prec%init)]TJ/F62 9.9626 Tf 49.22 0 Td [(and)]TJ/F67 9.9626 Tf 19.014 0 Td [(prec%set)]TJ/F62 9.9626 Tf 41.843 0 Td [(,)-222(and)]TJ -297.231 -11.955 Td [(build)-250(it)-250(with)]TJ/F67 9.9626 Tf 57.274 0 Td [(prec%build)]TJ + 0.984 0 0 1 124.802 706.129 Tm [(Choose)-254(the)-254(pr)19(econditioner)-254(to)-254(be)-253(used)-254(with)]TJ/F131 9.9626 Tf 1 0 0 1 311.582 706.129 Tm [(prec%init)]TJ/F84 9.9626 Tf 0.984 0 0 1 361.143 706.129 Tm [(and)]TJ/F131 9.9626 Tf 1 0 0 1 380.228 706.129 Tm [(prec%set)]TJ/F84 9.9626 Tf 0.984 0 0 1 422.07 706.129 Tm [(,)-254(and)]TJ 1 0 0 1 124.802 694.174 Tm [(build)-250(it)-250(with)]TJ/F131 9.9626 Tf 57.274 0 Td [(prec%build)]TJ 0 0 1 rg 0 0 1 RG -/F62 7.5716 Tf 52.304 3.616 Td [(3)]TJ +/F84 7.5716 Tf 52.304 3.616 Td [(3)]TJ 0 g 0 G -/F62 9.9626 Tf 4.284 -3.616 Td [(;)]TJ +/F84 9.9626 Tf 4.284 -3.616 Td [(;)]TJ 0 g 0 G - -126.315 -18.801 Td [(7.)]TJ + -126.315 -18.137 Td [(7.)]TJ 0 g 0 G - [-500(Call)-190(one)-190(of)-190(the)-190(iterative)-190(drivers)-190(with)-190(the)-190(method)-190(of)-190(choice,)-202(e.g.)]TJ/F67 9.9626 Tf 283.085 0 Td [(psb_krylov)]TJ/F62 9.9626 Tf -270.632 -11.955 Td [(with)]TJ/F67 9.9626 Tf 22.744 0 Td [(bicgstab)]TJ/F62 9.9626 Tf 41.843 0 Td [(.)]TJ -89.494 -17.676 Td [(This)-250(is)-250(the)-250(str)8(uctur)18(e)-250(of)-250(the)-250(sample)-250(pr)18(ograms)-250(in)-250(the)-250(dir)18(ectory)]TJ/F67 9.9626 Tf 266.418 0 Td [(test/pargen/)]TJ/F62 9.9626 Tf 62.764 0 Td [(.)]TJ -314.238 -11.955 Td [(For)-257(a)-258(simulation)-257(in)-257(which)-257(the)-258(same)-257(discr)18(etization)-257(mesh)-257(is)-258(used)-257(over)-257(multi-)]TJ -14.944 -11.955 Td [(ple)-250(time)-250(steps,)-250(the)-250(following)-250(str)8(uctur)18(e)-250(may)-250(be)-250(mor)18(e)-250(appr)18(opriate:)]TJ + 0.98 0 0 1 124.802 676.037 Tm [(Call)-204(one)-203(of)-204(the)-204(iterative)-203(drivers)-204(with)-204(the)-203(method)-204(of)-204(choice,)-214(e.g.)]TJ/F131 9.9626 Tf 1 0 0 1 391.565 676.037 Tm [(psb_krylov)]TJ/F84 9.9626 Tf -267.181 -11.955 Td [(with)]TJ/F131 9.9626 Tf 22.744 0 Td [(bicgstab)]TJ/F84 9.9626 Tf 41.843 0 Td [(.)]TJ -89.384 -16.347 Td [(This)-250(is)-250(the)-250(str)8(uctur)18(e)-250(of)-250(the)-250(sample)-250(pr)18(ograms)-250(in)-250(the)-250(dir)18(ectory)]TJ/F131 9.9626 Tf 266.417 0 Td [(test/pargen/)]TJ/F84 9.9626 Tf 62.764 0 Td [(.)]TJ 0.98 0 0 1 114.839 635.78 Tm [(For)-227(a)-227(simulation)-227(in)-227(which)-227(the)-227(same)-226(discr)18(etization)-227(mesh)-227(is)-227(used)-227(over)-227(multiple)]TJ 1 0 0 1 99.895 623.824 Tm [(time)-250(steps,)-250(the)-250(following)-250(str)8(uctur)18(e)-250(may)-250(be)-250(mor)18(e)-250(appr)18(opriate:)]TJ 0 g 0 G - 12.454 -17.676 Td [(1.)]TJ + 12.454 -16.347 Td [(1.)]TJ 0 g 0 G - [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F67 9.9626 Tf 171.464 0 Td [(psb_init)]TJ + [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F131 9.9626 Tf 171.464 0 Td [(psb_init)]TJ 0 g 0 G -/F62 9.9626 Tf -171.464 -18.8 Td [(2.)]TJ +/F84 9.9626 Tf -171.464 -18.136 Td [(2.)]TJ 0 g 0 G - [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F67 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ + [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F131 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ 0 g 0 G -/F62 9.9626 Tf -130.489 -18.801 Td [(3.)]TJ +/F84 9.9626 Tf -130.489 -18.137 Td [(3.)]TJ 0 g 0 G - [-500(Loop)-248(over)-248(the)-248(topology)-248(of)-248(the)-248(discr)18(eti)1(zation)-248(mesh)-248(and)-248(build)-248(the)-248(descrip-)]TJ 12.453 -11.955 Td [(tor)-250(with)]TJ/F67 9.9626 Tf 37.857 0 Td [(psb_cdins)]TJ/F62 9.9626 Tf 47.074 0 Td [(;)]TJ + 0.98 0 0 1 124.802 571.204 Tm [(Loop)-224(over)-225(the)-224(topology)-224(of)-224(the)-225(discr)19(etization)-225(me)1(sh)-225(and)-224(build)-224(the)-225(descriptor)]TJ 1 0 0 1 124.384 559.249 Tm [(with)]TJ/F131 9.9626 Tf 22.744 0 Td [(psb_cdins)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G - -97.384 -18.801 Td [(4.)]TJ + -81.852 -18.136 Td [(4.)]TJ 0 g 0 G - [-500(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F67 9.9626 Tf 144.386 0 Td [(psb_cdasb)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)]TJ + [-461(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F131 9.9626 Tf 143.998 0 Td [(psb_cdasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G - -191.459 -18.8 Td [(5.)]TJ + -191.071 -18.136 Td [(5.)]TJ 0 g 0 G - 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[(In)-289(this)-288(chapter)-289(we)-289(illustrate)-288(the)-289(data)-289(str)8(uctur)18(es)-288(used)-289(for)-289(de\002nition)-289(of)-288(r)18(outines)]TJ 0 -11.956 Td [(interfaces.)-622(They)-354(include)-354(data)-354(str)8(uctur)18(es)-354(for)-354(sparse)-354(matrices,)-380(communication)]TJ 0 -11.955 Td [(descriptors)-250(and)-250(pr)18(econditioners.)]TJ 14.944 -12.156 Td [(All)-248(the)-248(data)-249(types)-248(and)-248(the)-248(basic)-248(subr)18(outine)-249(interfaces)-248(r)18(elated)-248(to)-248(descriptors)]TJ -14.944 -11.955 Td [(and)-345(sparse)-345(matrices)-344(ar)18(e)-345(de\002ned)-345(in)-345(the)-345(module)]TJ/F67 9.9626 Tf 213.323 0 Td [(psb_base_mod)]TJ/F62 9.9626 Tf 62.764 0 Td [(;)-392(this)-345(will)-345(have)]TJ -276.087 -11.955 Td [(to)-381(be)-381(included)-381(by)-381(every)-381(user)-381(subr)18(outine)-381(that)-381(makes)-381(u)1(se)-381(of)-381(the)-381(library)111(.)-703(The)]TJ 0 -11.956 Td [(pr)18(econditioners)-250(ar)18(e)-250(de\002ned)-250(in)-250(the)-250(module)]TJ/F67 9.9626 Tf 187.993 0 Td [(psb_prec_mod)]TJ/F62 9.9626 Tf -173.049 -12.156 Td [(Integer)74(,)-433(r)18(eal)-396(and)-397(complex)-396(data)-396(types)-397(ar)18(e)-396(parametrized)-396(with)-397(a)-396(kind)-396(type)]TJ -14.944 -11.955 Td [(de\002ned)-250(in)-250(the)-250(library)-250(as)-250(follows:)]TJ +/F75 14.3462 Tf 99.895 705.784 Td [(3)-1000(Data)-250(Structures)-250(and)-250(Classes)]TJ/F84 9.9626 Tf 1.015 0 0 1 99.895 682.693 Tm [(In)-246(this)-246(chapter)-246(we)-247(illustrate)-246(the)-246(data)-246(str)8(uctur)18(es)-247(u)1(sed)-247(for)-246(de\002nition)-246(of)-246(r)18(outines)]TJ 1.02 0 0 1 99.895 670.737 Tm [(interfaces.)-430(They)-287(include)-287(data)-287(str)8(uctur)18(es)-287(for)-287(sparse)-287(matrices,)-298(communication)]TJ 1 0 0 1 99.895 658.782 Tm [(descriptors)-250(and)-250(pr)18(econditioners.)]TJ 0.999 0 0 1 114.839 646.626 Tm [(All)-251(the)-251(data)-252(types)-251(and)-251(the)-251(basic)-252(su)1(br)18(outine)-252(interfaces)-251(r)18(elated)-251(to)-251(descriptors)]TJ 1.02 0 0 1 99.895 634.671 Tm [(and)-297(sparse)-296(matrices)-296(ar)17(e)-296(de\002ned)-297(in)-296(the)-297(module)]TJ/F131 9.9626 Tf 1 0 0 1 313.56 634.671 Tm [(psb_base_mod)]TJ/F84 9.9626 Tf 1.02 0 0 1 376.324 634.671 Tm [(;)-322(this)-297(will)-296(have)]TJ 1.02 0 0 1 99.895 622.716 Tm [(to)-335(be)-335(included)-335(by)-335(every)-336(user)-335(subr)18(outine)-335(that)-335(makes)-335(use)-335(of)-335(the)-336(library)109(.)-574(The)]TJ 1 0 0 1 99.596 610.76 Tm [(pr)18(econditioners)-250(ar)18(e)-250(de\002ned)-250(in)-250(the)-250(module)]TJ/F131 9.9626 Tf 187.993 0 Td [(psb_prec_mod)]TJ/F84 9.9626 Tf 1.02 0 0 1 114.839 598.604 Tm [(Integer)73(,)-362(r)17(eal)-338(and)-339(complex)-338(data)-339(types)-338(ar)17(e)-338(parametrized)-339(with)-338(a)-339(kind)-338(type)]TJ 1 0 0 1 99.895 586.649 Tm [(de\002ned)-250(in)-250(the)-250(library)-250(as)-250(follows:)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -20.528 Td [(psb)]TJ +/F75 9.9626 Tf 0 -20.528 Td [(psb)]TJ ET q 1 0 0 1 117.091 566.32 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 120.08 566.121 Td [(spk)]TJ +/F75 9.9626 Tf 120.08 566.121 Td [(spk)]TJ ET q 1 0 0 1 137.275 566.32 cm @@ -5833,20 +5830,20 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 145.245 566.121 Td [(Kind)-407(parameter)-406(for)-407(short)-406(pr)18(ecision)-407(r)18(eal)-406(and)-407(complex)-406(data;)-485(corr)18(e-)]TJ -20.443 -11.955 Td [(sponds)-250(to)-250(a)]TJ +/F84 9.9626 Tf 1.02 0 0 1 145.245 566.121 Tm [(Kind)-362(p)1(arameter)-362(for)-361(short)-362(pr)18(ecision)-362(r)18(eal)-362(and)-361(complex)-362(data;)-419(corr)17(e-)]TJ 1 0 0 1 124.802 554.166 Tm [(sponds)-250(to)-250(a)]TJ 0.56 0.13 0.00 rg 0.56 0.13 0.00 RG -/F67 9.9626 Tf 52.901 0 Td [(REAL)]TJ +/F131 9.9626 Tf 52.901 0 Td [(REAL)]TJ 0 g 0 G -/F62 9.9626 Tf 23.412 0 Td [(declaration)-250(and)-250(is)-250(normally)-250(4)-250(bytes;)]TJ +/F84 9.9626 Tf 23.412 0 Td [(declaration)-250(and)-250(is)-250(normally)-250(4)-250(bytes;)]TJ 0 g 0 G -/F59 9.9626 Tf -101.22 -20.73 Td [(psb)]TJ +/F75 9.9626 Tf -101.22 -20.73 Td [(psb)]TJ ET q 1 0 0 1 117.091 533.635 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 120.08 533.436 Td [(dpk)]TJ +/F75 9.9626 Tf 120.08 533.436 Td [(dpk)]TJ ET q 1 0 0 1 138.939 533.635 cm @@ -5854,20 +5851,20 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 146.909 533.436 Td [(Kind)-420(parameter)-421(for)-420(long)-420(pr)18(ecision)-421(r)18(eal)-420(and)-420(complex)-421(data;)-505(corr)18(e-)]TJ -22.107 -11.955 Td [(sponds)-250(to)-250(a)]TJ +/F84 9.9626 Tf 1.02 0 0 1 146.909 533.436 Tm [(Kind)-376(parameter)-375(for)-376(long)-375(pr)17(ecision)-375(r)17(eal)-375(and)-376(complex)-376(data;)-441(corr)18(e-)]TJ 1 0 0 1 124.802 521.481 Tm [(sponds)-250(to)-250(a)]TJ 0.56 0.13 0.00 rg 0.56 0.13 0.00 RG -/F67 9.9626 Tf 52.901 0 Td [(DOUBLE)-525(PRECISION)]TJ +/F131 9.9626 Tf 52.901 0 Td [(DOUBLE)-525(PRECISION)]TJ 0 g 0 G -/F62 9.9626 Tf 86.176 0 Td [(declaration)-250(and)-250(is)-250(normally)-250(8)-250(bytes;)]TJ +/F84 9.9626 Tf 86.176 0 Td [(declaration)-250(and)-250(is)-250(normally)-250(8)-250(bytes;)]TJ 0 g 0 G -/F59 9.9626 Tf -163.984 -20.73 Td [(psb)]TJ +/F75 9.9626 Tf -163.984 -20.73 Td [(psb)]TJ ET q 1 0 0 1 117.091 500.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 120.08 500.751 Td [(mpk)]TJ +/F75 9.9626 Tf 120.08 500.751 Td [(mpk)]TJ ET q 1 0 0 1 141.708 500.951 cm @@ -5875,16 +5872,16 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 149.678 500.751 Td [(Kind)-250(parameter)-250(for)-250(4-bytes)-250(integer)-250(data,)-250(as)-250(is)-250(always)-250(used)-250(by)-250(MPI;)]TJ +/F84 9.9626 Tf 149.678 500.751 Td [(Kind)-250(parameter)-250(for)-250(4-bytes)-250(integer)-250(data,)-250(as)-250(is)-250(always)-250(used)-250(by)-250(MPI;)]TJ 0 g 0 G -/F59 9.9626 Tf -49.783 -20.729 Td [(psb)]TJ +/F75 9.9626 Tf -49.783 -20.729 Td [(psb)]TJ ET q 1 0 0 1 117.091 480.221 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 120.08 480.022 Td [(epk)]TJ +/F75 9.9626 Tf 120.08 480.022 Td [(epk)]TJ ET q 1 0 0 1 137.833 480.221 cm @@ -5892,16 +5889,16 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 145.803 480.022 Td [(Kind)-364(parameter)-363(for)-364(8-bytes)-363(integer)-364(data,)-391(a)-1(s)-363(is)-364(always)-363(used)-364(by)-363(the)]TJ/F67 9.9626 Tf -21.001 -11.955 Td [(sizeof)]TJ/F62 9.9626 Tf 33.873 0 Td [(methods;)]TJ +/F84 9.9626 Tf 1.02 0 0 1 145.803 480.022 Tm [(Kind)-311(parameter)-312(for)-311(8-bytes)-311(integer)-312(data,)-327(as)-312(is)-311(always)-311(used)-312(by)-311(the)]TJ/F131 9.9626 Tf 1 0 0 1 124.802 468.067 Tm [(sizeof)]TJ/F84 9.9626 Tf 33.873 0 Td [(methods;)]TJ 0 g 0 G -/F59 9.9626 Tf -58.78 -20.73 Td [(psb)]TJ +/F75 9.9626 Tf -58.78 -20.73 Td [(psb)]TJ ET q 1 0 0 1 117.091 447.537 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 120.08 447.337 Td [(ipk)]TJ +/F75 9.9626 Tf 120.08 447.337 Td [(ipk)]TJ ET q 1 0 0 1 136.169 447.537 cm @@ -5909,16 +5906,16 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 144.139 447.337 Td [(Kind)-398(parameter)-399(for)-398(\223local\224)-398(integer)-399(indices)-398(and)-398(data;)-473(with)-398(default)]TJ -19.337 -11.955 Td [(build)-250(options)-250(this)-250(is)-250(a)-250(4)-250(bytes)-250(integer;)]TJ +/F84 9.9626 Tf 1.02 0 0 1 144.139 447.337 Tm [(Kind)-336(parameter)-336(for)-336(\223local\224)-336(integer)-336(indices)-336(and)-336(data;)-382(with)-336(default)]TJ 1 0 0 1 124.802 435.382 Tm [(build)-250(options)-250(this)-250(is)-250(a)-250(4)-250(bytes)-250(integer;)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -20.729 Td [(psb)]TJ +/F75 9.9626 Tf -24.907 -20.729 Td [(psb)]TJ ET q 1 0 0 1 117.091 414.852 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 120.08 414.653 Td [(lpk)]TJ +/F75 9.9626 Tf 120.08 414.653 Td [(lpk)]TJ ET q 1 0 0 1 136.169 414.852 cm @@ -5926,29 +5923,29 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 144.139 414.653 Td [(Kind)-328(parameter)-329(for)-328(\223global\224)-328(integer)-329(indices)-328(and)-328(data;)-368(with)-328(default)]TJ -19.337 -11.955 Td [(build)-250(options)-250(this)-250(is)-250(an)-250(8)-250(bytes)-250(integer;)]TJ -24.907 -20.529 Td [(The)-205(integer)-205(kinds)-205(for)-206(local)-205(and)-205(global)-205(indices)-205(can)-205(be)-206(chosen)-205(at)-205(con\002gur)18(e)-205(time)-205(to)]TJ 0 -11.955 Td [(hold)-266(4)-267(or)-266(8)-267(bytes,)-270(with)-266(the)-267(global)-266(indices)-266(at)-267(least)-266(as)-267(lar)18(ge)-266(as)-266(the)-267(local)-266(ones.)-359(T)92(o-)]TJ 0 -11.955 Td [(gether)-219(with)-220(the)-219(classes)-219(attributes)-219(we)-219(also)-220(discuss)-219(their)-219(methods.)-300(Most)-219(methods)]TJ 0 -11.955 Td [(detailed)-272(her)18(e)-272(only)-273(act)-272(on)-272(the)-272(local)-272(variable,)-278(i.e.)-376(their)-273(action)-272(is)-272(pur)18(ely)-272(local)-272(and)]TJ 0 -11.956 Td [(asynchr)18(onous)-359(unless)-360(otherwise)-359(stated.)-638(The)-359(list)-360(of)-359(methods)-359(her)18(e)-360(is)-359(not)-359(com-)]TJ 0 -11.955 Td [(pletely)-336(exhaustive;)-380(many)-336(methods,)-358(especially)-336(those)-336(that)-336(alter)-337(the)-336(contents)-336(of)]TJ 0 -11.955 Td [(the)-299(various)-298(objects,)-311(ar)18(e)-299(usually)-299(not)-299(needed)-298(by)-299(the)-299(end-user)74(,)-311(and)-298(ther)18(efor)18(e)-299(ar)18(e)]TJ 0 -11.955 Td [(described)-250(in)-250(the)-250(developer)-74('s)-250(documentation.)]TJ/F59 11.9552 Tf 0 -30.277 Td [(3.1)-1000(Descriptor)-250(data)-250(structure)]TJ/F62 9.9626 Tf 0 -19.353 Td [(All)-241(the)-241(gener)1(a)-1(l)-240(matrix)-241(informations)-241(and)-240(elements)-241(to)-241(be)-241(exchanged)-240(among)-241(pr)18(o-)]TJ 0 -11.956 Td [(cesses)-402(ar)18(e)-401(stor)18(ed)-402(within)-401(a)-402(data)-401(str)8(uctur)18(e)-402(of)-401(the)-402(type)]TJ/F67 9.9626 Tf 242.575 0 Td [(psb)]TJ +/F84 9.9626 Tf 1.02 0 0 1 144.139 414.653 Tm [(Kind)-266(parameter)-266(for)-266(\223global\224)-266(integer)-266(indices)-266(and)-266(data;)-277(with)-266(default)]TJ 1 0 0 1 124.802 402.698 Tm [(build)-250(options)-250(this)-250(is)-250(an)-250(8)-250(bytes)-250(integer;)]TJ 1.017 0 0 1 99.587 382.169 Tm [(The)-246(integer)-246(kinds)-246(for)-246(local)-246(and)-246(global)-246(indices)-246(can)-246(be)-246(chosen)-246(at)-246(con\002gur)18(e)-246(time)]TJ 1.02 0 0 1 99.895 370.214 Tm [(to)-273(hold)-273(4)-273(or)-273(8)-273(bytes,)-280(with)-273(the)-273(global)-273(indices)-273(at)-273(least)-273(as)-273(lar)18(ge)-273(as)-273(the)-273(local)-273(ones.)]TJ 1.002 0 0 1 99.587 358.259 Tm [(T)92(ogether)-249(with)-249(the)-250(classes)-249(attributes)-249(we)-249(also)-249(discuss)-249(their)-249(methods.)-310(Most)-249(meth-)]TJ 1.016 0 0 1 99.895 346.304 Tm [(ods)-245(detailed)-245(her)18(e)-245(only)-245(act)-245(on)-245(the)-244(local)-245(variable,)-245(i.e.)-305(their)-245(action)-245(is)-245(pur)18(ely)-245(local)]TJ 1.02 0 0 1 99.895 334.349 Tm [(and)-346(asynchr)18(onous)-346(unless)-346(otherwise)-346(stated.)-607(The)-346(list)-346(of)-346(methods)-346(her)17(e)-346(is)-346(not)]TJ 1.006 0 0 1 99.895 322.393 Tm [(completely)-247(exhaustive;)-248(many)-248(methods,)-247(especially)-248(those)-247(that)-248(alter)-247(the)-247(contents)]TJ 0.984 0 0 1 99.895 310.438 Tm [(of)-253(the)-254(various)-253(objects,)-253(ar)18(e)-254(u)1(sually)-254(not)-253(needed)-253(by)-254(the)-253(end-user)75(,)-253(and)-254(ther)19(efor)18(e)-253(ar)18(e)]TJ 1 0 0 1 99.895 298.483 Tm [(described)-250(in)-250(the)-250(developer)-74('s)-250(documentation.)]TJ/F75 11.9552 Tf 0 -30.277 Td [(3.1)-1000(Descriptor)-250(data)-250(structure)]TJ/F84 9.9626 Tf 1.02 0 0 1 99.507 248.853 Tm [(All)-387(the)-386(general)-387(matrix)-387(informations)-386(and)-387(elements)-387(to)-387(b)1(e)-387(exchanged)-387(among)]TJ 1.02 0 0 1 99.596 236.897 Tm [(pr)18(ocesses)-247(ar)18(e)-247(stor)18(ed)-247(within)-246(a)-247(data)-246(str)7(uctur)18(e)-246(of)-247(the)-247(type)]TJ/F131 9.9626 Tf 1 0 0 1 346.774 236.897 Tm [(psb)]TJ ET q -1 0 0 1 358.788 237.097 cm +1 0 0 1 363.093 237.097 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 361.927 236.897 Td [(desc)]TJ +/F131 9.9626 Tf 366.231 236.897 Td [(desc)]TJ ET q -1 0 0 1 383.476 237.097 cm +1 0 0 1 387.78 237.097 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 386.614 236.897 Td [(type)]TJ/F62 9.9626 Tf 20.921 0 Td [(.)-765(Every)]TJ -307.64 -11.955 Td [(str)8(uctur)18(e)-371(of)-370(this)-371(type)-370(is)-371(associated)-370(with)-371(a)-371(discr)18(etization)-370(pattern)-371(and)-370(enables)]TJ 0 -11.955 Td [(data)-301(communications)-302(and)-301(other)-301(operations)-302(that)-301(ar)18(e)-302(nece)1(ssa)-1(r)1(y)-302(for)-301(implement-)]TJ 0 -11.955 Td [(ing)-250(the)-250(various)-250(algorithms)-250(of)-250(inter)18(est)-250(to)-250(us.)]TJ 14.944 -12.156 Td [(The)-265(data)-266(str)8(uctur)18(e)-265(itself)]TJ/F67 9.9626 Tf 107.448 0 Td [(psb_desc_type)]TJ/F62 9.9626 Tf 70.638 0 Td [(can)-265(be)-266(tr)18(eated)-265(as)-265(an)-265(opaque)-266(object)]TJ -193.03 -11.955 Td [(handled)-321(via)-321(the)-321(tools)-321(r)18(outines)-321(of)-321(Sec.)]TJ +/F131 9.9626 Tf 390.918 236.897 Td [(type)]TJ/F84 9.9626 Tf 1.02 0 0 1 411.84 236.897 Tm [(.)-308(Every)]TJ 0.98 0 0 1 99.895 224.942 Tm [(str)8(uctur)19(e)-237(of)-238(thi)1(s)-238(type)-237(is)-237(associated)-237(with)-237(a)-237(discr)19(etization)-237(pattern)-237(and)-237(enables)-237(data)]TJ 0.997 0 0 1 99.895 212.987 Tm [(communications)-252(and)-252(other)-253(operations)-252(that)-252(ar)18(e)-252(necessary)-253(for)-252(implementing)-252(the)]TJ 1 0 0 1 99.616 201.032 Tm [(various)-250(algorithms)-250(of)-250(inter)18(est)-250(to)-250(us.)]TJ 1.007 0 0 1 114.839 188.876 Tm [(The)-249(data)-248(str)7(uct)1(ur)17(e)-248(itself)]TJ/F131 9.9626 Tf 1 0 0 1 222.376 188.876 Tm [(psb_desc_type)]TJ/F84 9.9626 Tf 1.007 0 0 1 292.866 188.876 Tm [(can)-249(be)-248(tr)17(eated)-248(as)-249(an)-249(opaque)-248(object)]TJ 1.02 0 0 1 99.895 176.921 Tm [(handled)-278(via)-279(the)-278(tools)-278(r)17(outines)-278(of)-278(Sec.)]TJ 0 0 1 rg 0 0 1 RG - [-321(6)]TJ + [-279(6)]TJ 0 g 0 G - [-321(or)-321(the)-321(query)-321(r)18(outines)-321(detailed)-321(below;)]TJ 0 -11.956 Td [(nevertheless)-250(we)-250(include)-250(her)18(e)-250(a)-250(description)-250(for)-250(the)-250(curious)-250(r)18(eader)74(.)]TJ 14.944 -12.156 Td [(First)-229(we)-228(describe)-228(the)]TJ/F67 9.9626 Tf 92.473 0 Td [(psb_indx_map)]TJ/F62 9.9626 Tf 65.04 0 Td [(type.)-303(This)-228(is)-229(a)-228(data)-229(str)8(uctur)18(e)-228(that)-229(keeps)]TJ -172.457 -11.955 Td [(track)-250(of)-250(a)-250(certain)-250(number)-250(of)-250(basic)-250(issues)-250(such)-250(as:)]TJ + [-278(or)-279(the)-278(query)-278(r)17(outines)-278(detailed)-278(below;)]TJ 1 0 0 1 99.895 164.965 Tm [(nevertheless)-250(we)-250(include)-250(her)18(e)-250(a)-250(description)-250(for)-250(the)-250(curious)-250(r)18(eader)74(.)]TJ 0.99 0 0 1 114.839 152.809 Tm [(First)-252(we)-252(describe)-252(the)]TJ/F131 9.9626 Tf 1 0 0 1 207.319 152.809 Tm [(psb_indx_map)]TJ/F84 9.9626 Tf 0.99 0 0 1 272.569 152.809 Tm [(type.)-313(This)-252(is)-252(a)-252(data)-252(str)8(uctur)18(e)-252(that)-252(keeps)]TJ 1 0 0 1 99.895 140.854 Tm [(track)-250(of)-250(a)-250(certain)-250(number)-250(of)-250(basic)-250(issues)-250(such)-250(as:)]TJ 0 g 0 G 13.888 -20.528 Td [(\225)]TJ 0 g 0 G - [-500(The)-250(value)-250(of)-250(the)-250(communication)-250(context;)]TJ + 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0 G 0 -19.947 Td [(Function)-250(value)]TJ 0 g 0 G -/F62 9.9626 Tf 72.777 0 Td [(The)-242(number)-242(of)-241(global)-242(cols;)-245(usually)-241(this)-242(is)-242(equal)-242(to)-241(the)-242(number)]TJ -47.87 -11.955 Td [(of)-250(global)-250(r)18(ows.)]TJ/F59 9.9626 Tf -24.907 -27.172 Td [(3.1.6)-1000(get)]TJ +/F84 9.9626 Tf 0.998 0 0 1 172.363 559.535 Tm [(The)-252(number)-251(of)-252(global)-251(cols;)-252(usually)-252(this)-252(i)1(s)-252(equal)-252(to)-251(the)-252(number)]TJ 1 0 0 1 124.802 547.58 Tm [(of)-250(global)-250(r)18(ows.)]TJ/F75 9.9626 Tf -24.907 -27.172 Td [(3.1.6)-1000(get)]TJ ET q 1 0 0 1 144.219 520.607 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 147.208 520.408 Td [(global)]TJ +/F75 9.9626 Tf 147.208 520.408 Td [(global)]TJ ET q 1 0 0 1 176.587 520.607 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 179.576 520.408 Td [(indices)-250(\227)-250(Get)-250(vector)-250(of)-250(global)-250(indices)]TJ +/F75 9.9626 Tf 179.576 520.408 Td [(indices)-250(\227)-250(Get)-250(vector)-250(of)-250(global)-250(indices)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -79.681 -18.974 Td [(myidx)-525(=)-525(desc%get_global_indices\050[owned]\051)]TJ +/F131 9.9626 Tf -79.681 -18.974 Td [(myidx)-525(=)-525(desc%get_global_indices\050[owned]\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -21.934 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -21.934 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.44 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.947 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.44 -19.947 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.947 Td [(desc)]TJ 0 g 0 G -/F62 9.9626 Tf 24.897 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ +/F84 9.9626 Tf 24.897 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -53.32 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf 39.293 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -91.287 -31.902 Td [(owned)]TJ +/F75 9.9626 Tf -90.979 -31.902 Td [(owned)]TJ 0 g 0 G -/F62 9.9626 Tf 35.975 0 Td [(Choose)-330(if)-329(you)-330(only)-329(want)-330(owned)-330(indices)-329(\050)]TJ/F67 9.9626 Tf 185.766 0 Td [(owned)]TJ +/F84 9.9626 Tf 1.02 0 0 1 135.87 383.793 Tm [(Choose)-281(if)-282(you)-281(only)-282(want)-281(owned)-281(indices)-282(\050)]TJ/F131 9.9626 Tf 1 0 0 1 321.922 383.793 Tm [(owned)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G - [(.true.)]TJ/F62 9.9626 Tf 62.764 0 Td [(\051)-330(or)-329(also)-330(halo)]TJ -259.598 -11.955 Td [(indices)-250(\050)]TJ/F67 9.9626 Tf 36.911 0 Td [(owned)]TJ + [(.true.)]TJ/F84 9.9626 Tf 1.02 0 0 1 384.686 383.793 Tm [(\051)-281(or)-282(also)-281(halo)]TJ 1 0 0 1 124.802 371.838 Tm [(indices)-250(\050)]TJ/F131 9.9626 Tf 36.911 0 Td [(owned)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G - [(.false.)]TJ/F62 9.9626 Tf 67.995 0 Td [(\051.)-310(Scope:)]TJ/F59 9.9626 Tf 40.328 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -166.813 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf 38.187 0 Td [(;)-250(default:)]TJ/F67 9.9626 Tf 41.872 0 Td [(.true.)]TJ/F62 9.9626 Tf 31.382 0 Td [(.)]TJ + [(.false.)]TJ/F84 9.9626 Tf 67.995 0 Td [(\051.)-310(Scope:)]TJ/F75 9.9626 Tf 40.328 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -167.122 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(;)-250(default:)]TJ/F131 9.9626 Tf 41.872 0 Td [(.true.)]TJ/F84 9.9626 Tf 31.382 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -163.436 -33.89 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -163.127 -33.89 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.947 Td [(Function)-250(value)]TJ 0 g 0 G -/F62 9.9626 Tf 72.777 0 Td [(The)-277(global)-277(indices,)-284(r)18(eturned)-277(as)-277(an)-277(allocatable)-277(integer)-277(array)-277(of)]TJ -47.87 -11.955 Td [(kind)]TJ/F67 9.9626 Tf 22.814 0 Td [(psb_lpk_)]TJ/F62 9.9626 Tf 44.334 0 Td [(and)-250(rank)-250(1.)]TJ/F59 9.9626 Tf -92.055 -27.171 Td [(3.1.7)-1000(get)]TJ +/F84 9.9626 Tf 1.011 0 0 1 172.363 306.046 Tm [(The)-248(global)-249(indices,)-248(r)18(eturned)-249(as)-248(an)-248(allocatable)-248(integer)-249(array)-248(of)]TJ 1 0 0 1 124.802 294.091 Tm [(kind)]TJ/F131 9.9626 Tf 22.814 0 Td [(psb_lpk_)]TJ/F84 9.9626 Tf 44.334 0 Td [(and)-250(rank)-250(1.)]TJ/F75 9.9626 Tf -92.055 -27.171 Td [(3.1.7)-1000(get)]TJ ET q 1 0 0 1 144.219 267.119 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 147.208 266.92 Td [(context)-250(\227)-250(Get)-250(communication)-250(context)]TJ +/F75 9.9626 Tf 147.208 266.92 Td [(context)-250(\227)-250(Get)-250(communication)-250(context)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -47.313 -18.975 Td [(ctxt)-525(=)-525(desc%get_context\050\051)]TJ +/F131 9.9626 Tf -47.313 -18.975 Td [(ctxt)-525(=)-525(desc%get_context\050\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -21.934 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -21.934 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.44 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.947 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.44 -19.947 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.947 Td [(desc)]TJ 0 g 0 G -/F62 9.9626 Tf 24.897 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ +/F84 9.9626 Tf 24.897 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -77.918 -33.889 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -77.918 -33.889 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.947 Td [(Function)-250(value)]TJ 0 g 0 G -/F62 9.9626 Tf 72.777 0 Td [(The)-250(communication)-250(context.)]TJ +/F84 9.9626 Tf 72.468 0 Td [(The)-250(communication)-250(context.)]TJ 0 g 0 G - 94.098 -29.888 Td [(13)]TJ + 94.407 -29.888 Td [(13)]TJ 0 g 0 G ET endstream endobj -1037 0 obj +1040 0 obj << -/Length 4754 +/Length 5028 >> stream 0 g 0 G 0 g 0 G BT -/F59 9.9626 Tf 150.705 706.129 Td [(3.1.8)-1000(Clone)-250(\227)-250(clone)-250(current)-250(object)]TJ +/F75 9.9626 Tf 150.705 706.129 Td [(3.1.8)-1000(Clone)-250(\227)-250(clone)-250(current)-250(object)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf 0 -19.289 Td [(call)-1050(desc%clone\050descout,info\051)]TJ +/F131 9.9626 Tf 0 -19.289 Td [(call)-1050(desc%clone\050descout,info\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -22.422 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -22.422 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.439 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -20.597 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.439 -20.597 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.598 Td [(desc)]TJ 0 g 0 G -/F62 9.9626 Tf 24.896 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ +/F84 9.9626 Tf 24.896 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -77.917 -34.377 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -77.917 -34.377 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.597 Td [(descout)]TJ 0 g 0 G -/F62 9.9626 Tf 39.84 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ +/F84 9.9626 Tf 39.452 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ 0 g 0 G -/F59 9.9626 Tf -39.84 -20.597 Td [(info)]TJ +/F75 9.9626 Tf -39.452 -20.597 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F59 9.9626 Tf -23.8 -28.097 Td [(3.1.9)-1000(CNV)-250(\227)-250(convert)-250(internal)-250(storage)-250(format)]TJ +/F84 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F75 9.9626 Tf -23.8 -28.097 Td [(3.1.9)-1000(CNV)-250(\227)-250(convert)-250(internal)-250(storage)-250(format)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf 0 -19.289 Td [(call)-1050(desc%cnv\050mold\051)]TJ +/F131 9.9626 Tf 0 -19.289 Td [(call)-1050(desc%cnv\050mold\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -22.422 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -22.422 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.439 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -20.597 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.439 -20.597 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.597 Td [(desc)]TJ 0 g 0 G -/F62 9.9626 Tf 24.896 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ +/F84 9.9626 Tf 24.896 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -77.917 -32.553 Td [(mold)]TJ +/F75 9.9626 Tf -77.917 -32.553 Td [(mold)]TJ 0 g 0 G -/F62 9.9626 Tf 28.782 0 Td [(the)-250(desir)18(ed)-250(integer)-250(storage)-250(format.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F67 9.9626 Tf 221.926 0 Td [(psb)]TJ +/F84 9.9626 Tf 28.782 0 Td [(the)-250(desir)18(ed)-250(integer)-250(storage)-250(format.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ 0.98 0 0 1 175.611 356.277 Tm [(Speci\002ed)-212(as:)-295(a)-212(object)-212(of)-212(type)-213(derived)-212(fr)19(om)-212(\050integer\051)]TJ/F131 9.9626 Tf 1 0 0 1 394.97 356.277 Tm [(psb)]TJ ET q -1 0 0 1 413.855 356.476 cm +1 0 0 1 411.288 356.476 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 416.994 356.277 Td [(T)]TJ +/F131 9.9626 Tf 414.427 356.277 Td [(T)]TJ ET q -1 0 0 1 422.851 356.476 cm +1 0 0 1 420.285 356.476 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 425.99 356.277 Td [(base)]TJ +/F131 9.9626 Tf 423.423 356.277 Td [(base)]TJ ET q -1 0 0 1 447.539 356.476 cm +1 0 0 1 444.972 356.476 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 450.677 356.277 Td [(vect)]TJ +/F131 9.9626 Tf 448.11 356.277 Td [(vect)]TJ ET q -1 0 0 1 472.226 356.476 cm +1 0 0 1 469.659 356.476 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 475.364 356.277 Td [(type)]TJ/F62 9.9626 Tf 20.921 0 Td [(.)]TJ -345.58 -22.59 Td [(The)]TJ/F67 9.9626 Tf 19.583 0 Td [(mold)]TJ/F62 9.9626 Tf 23.828 0 Td [(ar)18(guments)-292(may)-291(be)-292(employed)-292(to)-292(interface)-291(with)-292(special)-292(devices,)-302(such)]TJ -43.411 -11.955 Td [(as)-250(GPUs)-250(and)-250(other)-250(accelerators.)]TJ/F59 9.9626 Tf 0 -28.096 Td [(3.1.10)-1000(psb)]TJ +/F131 9.9626 Tf 472.797 356.277 Td [(type)]TJ/F84 9.9626 Tf 0.98 0 0 1 493.719 356.277 Tm [(.)]TJ 0.98 0 0 1 150.396 333.687 Tm [(The)]TJ/F131 9.9626 Tf 1 0 0 1 169.17 333.687 Tm [(mold)]TJ/F84 9.9626 Tf 0.98 0 0 1 192.522 333.687 Tm [(ar)18(guments)-249(may)-249(be)-248(employed)-249(to)-249(interface)-249(with)-249(special)-249(devices,)-250(such)-249(as)]TJ 1 0 0 1 150.705 321.732 Tm [(GPUs)-250(and)-250(other)-250(accelerators.)]TJ/F75 9.9626 Tf 0 -28.096 Td [(3.1.10)]TJ 0.98 0 0 1 185.574 293.636 Tm [(psb)]TJ ET q -1 0 0 1 202.769 293.835 cm +1 0 0 1 202.438 293.835 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 205.758 293.636 Td [(cd)]TJ +/F75 9.9626 Tf 0.98 0 0 1 205.426 293.636 Tm [(cd)]TJ ET q -1 0 0 1 216.867 293.835 cm +1 0 0 1 216.324 293.835 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 219.855 293.636 Td [(get)]TJ +/F75 9.9626 Tf 0.98 0 0 1 219.313 293.636 Tm [(get)]TJ ET q -1 0 0 1 234.291 293.835 cm +1 0 0 1 233.472 293.835 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 237.28 293.636 Td [(large)]TJ +/F75 9.9626 Tf 0.98 0 0 1 236.461 293.636 Tm [(large)]TJ ET q -1 0 0 1 260.572 293.835 cm +1 0 0 1 259.299 293.835 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 263.561 293.636 Td [(threshold)-190(\227)-190(Get)-190(threshold)-190(for)-190(index)-190(mapping)-190(switch)]TJ +/F75 9.9626 Tf 0.98 0 0 1 262.288 293.636 Tm [(threshold)-194(\227)-194(Get)-194(threshold)-194(fo)1(r)-194(index)-194(mapping)-194(switch)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -112.856 -19.29 Td [(ith)-525(=)-525(psb_cd_get_large_threshold\050\051)]TJ +/F131 9.9626 Tf 1 0 0 1 150.705 274.346 Tm [(ith)-525(=)-525(psb_cd_get_large_threshold\050\051)]TJ 0 g 0 G -/F59 9.9626 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[(Speci\002ed)-345(as:)-504(an)-345(allocatable)-345(one-dimensional)-345(array)-345(of)-346(integ)1(ers)-346(of)-345(kind)]TJ/F131 9.9626 Tf 1 0 0 1 175.611 624.419 Tm [(psb_ipk_)]TJ/F84 9.9626 Tf 41.843 0 Td [(.)]TJ 0.98 0 0 1 150.705 600.493 Tm [(Note:)-304(this)-231(method)-231(may)-230(or)-231(may)-231(not)-231(actually)-231(r)19(equir)18(e)-231(communications,)-235(depending)]TJ 0.98 0 0 1 150.705 588.537 Tm [(on)-217(the)-216(exact)-217(internal)-217(data)-216(storage;)-230(given)-217(that)-216(the)-217(choice)-217(of)-216(storage)-217(may)-217(be)-217(alter)19(ed)]TJ 0.98 0 0 1 150.705 576.582 Tm [(by)-250(r)8(untime)-250(parameters,)-250(it)-250(is)-250(necessary)-250(for)-250(safety)-250(that)-250(this)-250(method)-250(is)-249(called)-250(by)-250(all)]TJ 1 0 0 1 150.406 564.627 Tm [(pr)18(ocesses.)]TJ/F75 9.9626 Tf 0.299 -29.998 Td [(3.1.15)-1000(Named)-250(Constants)]TJ 0 g 0 G 0 -19.937 Td [(psb)]TJ ET @@ -6863,7 +6860,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 514.692 Td [(none)]TJ +/F75 9.9626 Tf 170.889 514.692 Td [(none)]TJ ET q 1 0 0 1 194.182 514.891 cm @@ -6871,16 +6868,16 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 202.152 514.692 Td [(Generic)-250(no-op;)]TJ +/F84 9.9626 Tf 202.152 514.692 Td [(Generic)-250(no-op;)]TJ 0 g 0 G -/F59 9.9626 Tf -51.447 -21.934 Td [(psb)]TJ +/F75 9.9626 Tf -51.447 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 492.957 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 492.758 Td [(root)]TJ +/F75 9.9626 Tf 170.889 492.758 Td [(root)]TJ ET q 1 0 0 1 189.758 492.957 cm @@ -6888,16 +6885,16 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 197.728 492.758 Td [(Default)-250(r)18(oot)-250(pr)18(ocess)-250(for)-250(br)18(oadcast)-250(and)-250(scatter)-250(operations;)]TJ +/F84 9.9626 Tf 197.728 492.758 Td [(Default)-250(r)18(oot)-250(pr)18(ocess)-250(for)-250(br)18(oadcast)-250(and)-250(scatter)-250(operations;)]TJ 0 g 0 G -/F59 9.9626 Tf -47.023 -21.934 Td [(psb)]TJ +/F75 9.9626 Tf -47.023 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 471.023 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 470.824 Td [(nohalo)]TJ +/F75 9.9626 Tf 170.889 470.824 Td [(nohalo)]TJ ET q 1 0 0 1 203.038 471.023 cm @@ -6905,16 +6902,16 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 211.008 470.824 Td [(Do)-250(not)-250(fetch)-250(halo)-250(elements;)]TJ +/F84 9.9626 Tf 211.008 470.824 Td [(Do)-250(not)-250(fetch)-250(halo)-250(elements;)]TJ 0 g 0 G -/F59 9.9626 Tf -60.303 -21.934 Td [(psb)]TJ +/F75 9.9626 Tf -60.303 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 449.089 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 448.89 Td [(halo)]TJ +/F75 9.9626 Tf 170.889 448.89 Td [(halo)]TJ ET q 1 0 0 1 191.412 449.089 cm @@ -6922,16 +6919,16 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 199.382 448.89 Td [(Fetch)-250(halo)-250(elements)-250(fr)18(om)-250(neighbouring)-250(pr)18(ocesses;)]TJ +/F84 9.9626 Tf 199.382 448.89 Td [(Fetch)-250(halo)-250(elements)-250(fr)18(om)-250(neighbouring)-250(pr)18(ocesses;)]TJ 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170.889 361.154 Td [(comm)]TJ +/F75 9.9626 Tf 170.889 361.154 Td [(comm)]TJ ET q 1 0 0 1 199.163 361.354 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 202.152 361.154 Td [(ext)]TJ +/F75 9.9626 Tf 202.152 361.154 Td [(ext)]TJ ET q 1 0 0 1 216.029 361.354 cm @@ -7004,23 +7001,23 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 224 361.154 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F67 9.9626 Tf 124.92 0 Td [(ext_index)]TJ/F62 9.9626 Tf 49.564 0 Td [(list;)]TJ +/F84 9.9626 Tf 224 361.154 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F131 9.9626 Tf 124.92 0 Td [(ext_index)]TJ/F84 9.9626 Tf 49.564 0 Td [(list;)]TJ 0 g 0 G -/F59 9.9626 Tf -247.779 -21.934 Td [(psb)]TJ +/F75 9.9626 Tf -247.779 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 339.42 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 339.22 Td [(comm)]TJ +/F75 9.9626 Tf 170.889 339.22 Td [(comm)]TJ ET q 1 0 0 1 199.163 339.42 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 202.152 339.22 Td [(ovr)]TJ +/F75 9.9626 Tf 202.152 339.22 Td [(ovr)]TJ ET q 1 0 0 1 217.703 339.42 cm @@ -7028,23 +7025,23 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 225.673 339.22 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F67 9.9626 Tf 124.92 0 Td [(ovrlap_index)]TJ/F62 9.9626 Tf 65.255 0 Td [(list;)]TJ +/F84 9.9626 Tf 225.673 339.22 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F131 9.9626 Tf 124.92 0 Td [(ovrlap_index)]TJ/F84 9.9626 Tf 65.255 0 Td [(list;)]TJ 0 g 0 G -/F59 9.9626 Tf -265.143 -21.934 Td [(psb)]TJ +/F75 9.9626 Tf -265.143 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 317.486 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 317.286 Td [(comm)]TJ +/F75 9.9626 Tf 170.889 317.286 Td [(comm)]TJ ET q 1 0 0 1 199.163 317.486 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 202.152 317.286 Td [(mov)]TJ +/F75 9.9626 Tf 202.152 317.286 Td [(mov)]TJ ET q 1 0 0 1 222.684 317.486 cm @@ -7052,63 +7049,63 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 230.654 317.286 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F67 9.9626 Tf 124.921 0 Td [(ovr_mst_idx)]TJ/F62 9.9626 Tf 60.024 0 Td [(list;)]TJ/F59 11.9552 Tf -264.894 -31.99 Td [(3.2)-1000(Sparse)-250(Matrix)-250(class)]TJ/F62 9.9626 Tf 0 -19.937 Td [(The)]TJ/F67 9.9626 Tf 19.623 0 Td [(psb)]TJ +/F84 9.9626 Tf 230.654 317.286 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F131 9.9626 Tf 124.921 0 Td [(ovr_mst_idx)]TJ/F84 9.9626 Tf 60.024 0 Td [(list;)]TJ/F75 11.9552 Tf -264.894 -31.99 Td [(3.2)-1000(Sparse)-250(Matrix)-250(class)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.396 265.359 Tm [(The)]TJ/F131 9.9626 Tf 1 0 0 1 169.907 265.359 Tm [(psb)]TJ ET q -1 0 0 1 186.647 265.558 cm +1 0 0 1 186.225 265.558 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 189.785 265.359 Td [(Tspmat)]TJ +/F131 9.9626 Tf 189.363 265.359 Td [(Tspmat)]TJ ET q -1 0 0 1 221.795 265.558 cm +1 0 0 1 221.373 265.558 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 224.933 265.359 Td 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>> stream 0 g 0 G 0 g 0 G BT -/F59 9.9626 Tf 150.705 706.129 Td [(3.2.17)-1000(psb)]TJ +/F75 9.9626 Tf 150.705 706.129 Td [(3.2.17)-1000(psb)]TJ ET q 1 0 0 1 202.769 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 205.758 706.129 Td [(set)]TJ +/F75 9.9626 Tf 205.758 706.129 Td [(set)]TJ ET q 1 0 0 1 219.078 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 222.067 706.129 Td [(mat)]TJ +/F75 9.9626 Tf 222.067 706.129 Td [(mat)]TJ ET q 1 0 0 1 239.82 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 242.809 706.129 Td [(default)-250(\227)-250(Set)-250(default)-250(storage)-250(format)]TJ +/F75 9.9626 Tf 242.809 706.129 Td [(default)-250(\227)-250(Set)-250(default)-250(storage)-250(format)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F67 9.9626 Tf -92.104 -18.964 Td [(call)]TJ +/F131 9.9626 Tf -92.104 -18.964 Td [(call)]TJ 0 g 0 G [-1050(psb_set_mat_default\050a\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -20.183 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -20.183 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.439 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.231 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.439 -19.231 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.231 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(a)-203(variable)-203(of)]TJ +/F84 9.9626 Tf 0.988 0 0 1 160.667 628.52 Tm [(a)-253(variable)-253(of)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F67 9.9626 Tf 55.42 0 Td [(class)]TJ +/F131 9.9626 Tf 1 0 0 1 216.887 628.52 Tm [(class)]TJ 0 g 0 G - [(\050psb_T_base_sparse_mat\051)]TJ/F62 9.9626 Tf 148.475 0 Td [(r)18(equesting)-203(a)-204(new)-203(default)-203(stor)18(-)]TJ -188.951 -11.956 Td [(age)-250(format.)]TJ 0 -11.955 Td [(T)90(ype:)-310(r)18(equir)18(ed.)]TJ/F59 9.9626 Tf -24.907 -26.815 Td [(3.2.18)-1000(clone)-250(\227)-250(Clone)-250(current)-250(object)]TJ + [(\050psb_T_base_sparse_mat\051)]TJ/F84 9.9626 Tf 0.988 0 0 1 365.826 628.52 Tm [(r)18(equesting)-253(a)-253(new)-252(default)-253(stor)18(-)]TJ 1 0 0 1 175.611 616.564 Tm [(age)-250(format.)]TJ -0.308 -11.955 Td [(T)90(ype:)-310(r)18(equir)18(ed.)]TJ/F75 9.9626 Tf -24.598 -26.815 Td [(3.2.18)-1000(clone)-250(\227)-250(Clone)-250(current)-250(object)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F67 9.9626 Tf 0 -18.964 Td [(call)]TJ +/F131 9.9626 Tf 0 -18.964 Td [(call)]TJ 0 g 0 G [-1050(a%clone\050b,info\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -20.183 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -20.183 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.439 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.231 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.439 -19.231 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.231 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.431 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ +/F84 9.9626 Tf 9.962 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -77.917 -32.138 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -77.917 -32.138 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.232 Td [(b)]TJ 0 g 0 G -/F62 9.9626 Tf 11.068 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ +/F84 9.9626 Tf 10.68 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ 0 g 0 G -/F59 9.9626 Tf -11.068 -19.231 Td [(info)]TJ +/F75 9.9626 Tf -10.68 -19.231 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F59 9.9626 Tf -23.8 -26.815 Td [(3.2.19)-1000(Named)-250(Constants)]TJ +/F84 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F75 9.9626 Tf -23.8 -26.815 Td [(3.2.19)-1000(Named)-250(Constants)]TJ 0 g 0 G 0 -18.964 Td [(psb)]TJ ET @@ -8806,14 +8803,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 371.85 Td [(dupl)]TJ +/F75 9.9626 Tf 170.889 371.85 Td [(dupl)]TJ ET q 1 0 0 1 193.066 372.049 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 196.055 371.85 Td [(ovwrt)]TJ +/F75 9.9626 Tf 196.055 371.85 Td [(ovwrt)]TJ ET q 1 0 0 1 223.222 372.049 cm @@ -8821,23 +8818,23 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 231.193 371.85 Td [(Duplicate)-259(coef)18(\002cients)-259(shou)1(ld)-259(be)-259(overwritten)-259(\050i.e.)-336(ignor)18(e)-259(du-)]TJ -55.582 -11.955 Td [(plications\051)]TJ +/F84 9.9626 Tf 1.01 0 0 1 231.193 371.85 Tm [(Duplicate)-247(coef)17(\002)1(cients)-248(should)-247(be)-248(overwritten)-247(\050i.e.)-307(ignor)18(e)-248(du-)]TJ 1 0 0 1 175.313 359.895 Tm [(plications\051)]TJ 0 g 0 G -/F59 9.9626 Tf -24.906 -19.231 Td [(psb)]TJ +/F75 9.9626 Tf -24.608 -19.231 Td [(psb)]TJ ET q 1 0 0 1 167.9 340.863 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 340.664 Td [(dupl)]TJ +/F75 9.9626 Tf 170.889 340.664 Td [(dupl)]TJ ET q 1 0 0 1 193.066 340.863 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 196.055 340.664 Td [(add)]TJ +/F75 9.9626 Tf 196.055 340.664 Td [(add)]TJ ET q 1 0 0 1 213.808 340.863 cm @@ -8845,23 +8842,23 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 221.778 340.664 Td [(Duplicate)-250(coef)18(\002cients)-250(should)-250(be)-250(added;)]TJ +/F84 9.9626 Tf 221.778 340.664 Td [(Duplicate)-250(coef)18(\002cients)-250(should)-250(be)-250(added;)]TJ 0 g 0 G -/F59 9.9626 Tf -71.073 -19.232 Td [(psb)]TJ +/F75 9.9626 Tf -71.073 -19.232 Td [(psb)]TJ ET q 1 0 0 1 167.9 321.632 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 321.432 Td [(dupl)]TJ +/F75 9.9626 Tf 170.889 321.432 Td [(dupl)]TJ ET q 1 0 0 1 193.066 321.632 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 196.055 321.432 Td [(err)]TJ +/F75 9.9626 Tf 196.055 321.432 Td [(err)]TJ ET q 1 0 0 1 209.384 321.632 cm @@ -8869,23 +8866,23 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 217.355 321.432 Td [(Duplicate)-250(coef)18(\002cients)-250(should)-250(trigger)-250(an)-250(err)18(or)-250(conditino)]TJ +/F84 9.9626 Tf 217.355 321.432 Td [(Duplicate)-250(coef)18(\002cients)-250(should)-250(trigger)-250(an)-250(err)18(or)-250(conditino)]TJ 0 g 0 G -/F59 9.9626 Tf -66.65 -19.231 Td [(psb)]TJ +/F75 9.9626 Tf -66.65 -19.231 Td [(psb)]TJ ET q 1 0 0 1 167.9 302.4 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 302.201 Td [(upd)]TJ +/F75 9.9626 Tf 170.889 302.201 Td [(upd)]TJ ET q 1 0 0 1 189.748 302.4 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 192.737 302.201 Td [(d\003t)]TJ +/F75 9.9626 Tf 192.737 302.201 Td [(d\003t)]TJ ET q 1 0 0 1 208.827 302.4 cm @@ -8893,23 +8890,23 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 216.797 302.201 Td [(Default)-250(update)-250(strategy)-250(for)-250(matrix)-250(coef)18(\002cients;)]TJ +/F84 9.9626 Tf 216.797 302.201 Td [(Default)-250(update)-250(strategy)-250(for)-250(matrix)-250(coef)18(\002cients;)]TJ 0 g 0 G -/F59 9.9626 Tf -66.092 -19.231 Td [(psb)]TJ +/F75 9.9626 Tf -66.092 -19.231 Td [(psb)]TJ ET q 1 0 0 1 167.9 283.169 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 282.97 Td [(upd)]TJ +/F75 9.9626 Tf 170.889 282.97 Td [(upd)]TJ ET q 1 0 0 1 189.748 283.169 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 192.737 282.97 Td [(srch)]TJ +/F75 9.9626 Tf 192.737 282.97 Td [(srch)]TJ ET q 1 0 0 1 212.144 283.169 cm @@ -8917,23 +8914,23 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 220.114 282.97 Td [(Update)-250(strategy)-250(based)-250(on)-250(sear)18(ch)-250(into)-250(the)-250(data)-250(str)8(uctur)18(e;)]TJ +/F84 9.9626 Tf 220.114 282.97 Td [(Update)-250(strategy)-250(based)-250(on)-250(sear)18(ch)-250(into)-250(the)-250(data)-250(str)8(uctur)18(e;)]TJ 0 g 0 G -/F59 9.9626 Tf -69.409 -19.232 Td [(psb)]TJ +/F75 9.9626 Tf -69.409 -19.232 Td [(psb)]TJ ET q 1 0 0 1 167.9 263.938 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 170.889 263.738 Td [(upd)]TJ +/F75 9.9626 Tf 170.889 263.738 Td [(upd)]TJ ET q 1 0 0 1 189.748 263.938 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 192.737 263.738 Td [(perm)]TJ +/F75 9.9626 Tf 192.737 263.738 Td [(perm)]TJ ET q 1 0 0 1 217.135 263.938 cm @@ -8941,64 +8938,64 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 225.106 263.738 Td [(Update)-392(strategy)-393(based)-392(on)-393(additional)-392(permutation)-393(data)-392(\050see)]TJ -49.495 -11.955 Td [(tools)-250(r)18(outine)-250(description\051.)]TJ/F59 11.9552 Tf -24.906 -28.807 Td [(3.3)-1000(Dense)-250(V)111(ector)-250(Data)-250(Structure)]TJ/F62 9.9626 Tf 0 -18.964 Td [(The)]TJ/F67 9.9626 Tf 20.094 0 Td [(psb)]TJ +/F84 9.9626 Tf 1.02 0 0 1 225.106 263.738 Tm [(Update)-317(strategy)-316(based)-317(on)-317(additional)-317(permutation)-316(data)-317(\050see)]TJ 1 0 0 1 175.611 251.783 Tm [(tools)-250(r)18(outine)-250(description\051.)]TJ/F75 11.9552 Tf -24.906 -28.807 Td [(3.3)-1000(Dense)-250(V)111(ector)-250(Data)-250(Structure)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.396 204.012 Tm [(The)]TJ/F131 9.9626 Tf 1 0 0 1 170.422 204.012 Tm [(psb)]TJ ET q -1 0 0 1 187.117 204.211 cm +1 0 0 1 186.74 204.211 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 190.255 204.012 Td [(T)]TJ +/F131 9.9626 Tf 189.878 204.012 Td [(T)]TJ ET q -1 0 0 1 196.113 204.211 cm +1 0 0 1 195.736 204.211 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 199.252 204.012 Td [(vect)]TJ +/F131 9.9626 Tf 198.875 204.012 Td [(vect)]TJ ET q -1 0 0 1 220.801 204.211 cm +1 0 0 1 220.424 204.211 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 223.939 204.012 Td [(type)]TJ/F62 9.9626 Tf 24.338 0 Td [(data)-343(str)8(uctur)18(e)-343(encapsulates)-343(the)-343(dense)-343(vectors)-342(in)-343(a)-343(way)]TJ -97.572 -11.955 Td [(similar)-368(to)-368(sparse)-368(matrices,)-397(i.e.)-664(including)-368(a)-368(base)-368(type)]TJ/F67 9.9626 Tf 242.472 0 Td [(psb)]TJ +/F131 9.9626 Tf 223.562 204.012 Td [(type)]TJ/F84 9.9626 Tf 1.02 0 0 1 247.498 204.012 Tm 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[(is)-246(pr)18(ovided)-246(as)-246(a)-246(shorthand,)-245(but)-246(is)-246(equivalent)-246(to)-246(a)]TJ 1.02 0 0 1 150.705 206.02 Tm [(call)-293(to)]TJ/F131 9.9626 Tf 1 0 0 1 181.022 206.02 Tm [(v%set\050zero\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 241.53 206.02 Tm [(with)-293(the)]TJ/F131 9.9626 Tf 1 0 0 1 282.233 206.02 Tm [(zero)]TJ/F84 9.9626 Tf 1.02 0 0 1 306.129 206.02 Tm [(constant)-293(having)-292(the)-293(appr)18(opriate)-293(type)-293(and)]TJ 1 0 0 1 150.705 194.064 Tm [(kind.)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -25.91 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf 0 -25.91 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -23.918 Td [(v)]TJ 0 g 0 G -/F62 9.9626 Tf 10.52 0 Td [(the)-250(dense)-250(vector)74(,)-250(with)-250(updated)-250(entries)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ +/F84 9.9626 Tf 10.52 0 Td [(the)-250(dense)-250(vector)74(,)-250(with)-250(updated)-250(entries)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -/F62 9.9626 Tf 110.536 -41.843 Td [(26)]TJ +/F84 9.9626 Tf 110.536 -41.843 Td [(26)]TJ 0 g 0 G ET endstream endobj -1110 0 obj +1113 0 obj << -/Length 4480 +/Length 4800 >> stream 0 g 0 G 0 g 0 G BT -/F59 9.9626 Tf 99.895 706.129 Td [(3.3.5)-1000(get)]TJ +/F75 9.9626 Tf 99.895 706.129 Td [(3.3.5)-1000(get)]TJ ET q 1 0 0 1 144.219 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 147.208 706.129 Td [(vect)-250(\227)-250(Get)-250(a)-250(copy)-250(of)-250(the)-250(vector)-250(contents)]TJ +/F75 9.9626 Tf 147.208 706.129 Td [(vect)-250(\227)-250(Get)-250(a)-250(copy)-250(of)-250(the)-250(vector)-250(contents)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -47.313 -19.66 Td [(extv)-525(=)-525(v%get_vect\050[n]\051)]TJ +/F131 9.9626 Tf -47.313 -19.66 Td [(extv)-525(=)-525(v%get_vect\050[n]\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -22.994 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -22.994 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.44 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -21.362 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.44 -21.362 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -21.361 Td [(v)]TJ 0 g 0 G -/F62 9.9626 Tf 10.521 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ +/F84 9.9626 Tf 10.521 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -56.339 -33.316 Td [(n)]TJ 0 g 0 G -/F62 9.9626 Tf 11.069 0 Td [(Size)-250(to)-250(be)-250(r)18(eturned)]TJ 13.838 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf 38.187 0 Td [(;)-250(default:)-310(entir)18(e)-250(vector)74(.)]TJ +/F84 9.9626 Tf 11.069 0 Td [(Size)-250(to)-250(be)-250(r)18(eturned)]TJ 13.838 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ 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[(and)-299(the)-299(internal)-299(size)-299(of)-299(the)-300(vector)73(,)-313(or)-299(0)-299(if)]TJ/F78 9.9626 Tf 1 0 0 1 427.637 471.349 Tm [(n)]TJ/F84 9.9626 Tf 1.02 0 0 1 436.341 471.349 Tm [(is)]TJ 0.981 0 0 1 124.802 459.394 Tm [(negative;)-256(otherwise)1(,)-256(the)-255(size)-256(of)-255(the)-255(array)-256(is)-255(the)-255(same)-256(as)-255(the)-255(internal)-256(size)-255(of)]TJ 1 0 0 1 124.802 447.438 Tm [(the)-250(vector)74(.)]TJ/F75 9.9626 Tf -24.907 -29.183 Td [(3.3.6)-1000(clone)-250(\227)-250(Clone)-250(current)-250(object)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf 0 -19.659 Td [(call)-1050(x%clone\050y,info\051)]TJ +/F131 9.9626 Tf 0 -19.659 Td [(call)-1050(x%clone\050y,info\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -22.995 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -22.995 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.44 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -21.361 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.44 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[(3.4)-1000(Preconditioner)-250(data)-250(structure)]TJ/F62 9.9626 Tf 0 -19.659 Td [(Our)-396(base)-397(l)1(ibrary)-397(of)18(fers)-396(support)-396(for)-396(simple)-397(well)-396(known)-396(pr)18(econditioners)-396(like)]TJ 0 -11.956 Td [(Diagonal)-250(Scaling)-250(or)-250(Block)-250(Jacobi)-250(with)-250(incomplete)-250(factorization)-250(ILU\0500\051.)]TJ 14.944 -12.314 Td [(A)-309(pr)18(ec)1(onditioner)-309(is)-309(held)-308(in)-309(the)]TJ/F67 9.9626 Tf 140.643 0 Td [(psb)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ/F75 11.9552 Tf -23.801 -31.176 Td [(3.4)-1000(Preconditioner)-250(data)-250(structure)]TJ/F84 9.9626 Tf 1.02 0 0 1 99.895 192.416 Tm [(Our)-329(base)-328(library)-329(of)18(fers)-328(support)-329(for)-328(simple)-329(well)-328(known)-329(pr)18(econditioners)-329(like)]TJ 1 0 0 1 99.895 180.46 Tm [(Diagonal)-250(Scaling)-250(or)-250(Block)-250(Jacobi)-250(with)-250(incomplete)-250(factorization)-250(ILU\0500\051.)]TJ 1.02 0 0 1 114.839 168.146 Tm [(A)-258(pr)18(econditioner)-257(is)-258(held)-257(in)-258(the)]TJ/F131 9.9626 Tf 1 0 0 1 255.19 168.146 Tm [(psb)]TJ ET q -1 0 0 1 271.801 168.346 cm +1 0 0 1 271.508 168.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 274.939 168.146 Td [(Tprec)]TJ +/F131 9.9626 Tf 274.647 168.146 Td [(Tprec)]TJ ET q -1 0 0 1 301.718 168.346 cm +1 0 0 1 301.426 168.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 304.857 168.146 Td [(type)]TJ/F62 9.9626 Tf 23.995 0 Td [(data)-309(str)8(uct)1(ur)18(e)-309(r)18(eported)-309(in)]TJ -228.957 -11.955 Td [(\002gur)18(e)]TJ +/F131 9.9626 Tf 304.564 168.146 Td [(type)]TJ/F84 9.9626 Tf 1.02 0 0 1 328.103 168.146 Tm [(data)-258(str)8(uctur)18(e)-258(r)18(eported)-257(in)]TJ 0.994 0 0 1 99.895 156.191 Tm [(\002gur)18(e)]TJ 0 0 1 rg 0 0 1 RG - [-235(4)]TJ + [-252(4)]TJ 0 g 0 G - [(.)-305(The)]TJ/F67 9.9626 Tf 57.981 0 Td [(psb_Tprec_type)]TJ/F62 9.9626 Tf 75.569 0 Td [(data)-235(type)-236(may)-235(contain)-235(a)-236(simple)-235(pr)18(econditioning)]TJ -133.55 -11.955 Td [(matrix)-307(with)-307(the)-307(associated)-308(commun)1(ication)-308(descriptor)74(.)-481(The)-307(internal)-307(pr)18(econdi-)]TJ 0 -11.955 Td [(tioner)-317(is)-317(allocated)-318(appr)18(opriately)-317(with)-317(the)-317(dynamic)-318(type)-317(corr)18(esponding)-317(to)-317(the)]TJ 0 -11.955 Td [(desir)18(ed)-250(pr)18(econditioner)74(.)]TJ + [(.)-315(The)]TJ/F131 9.9626 Tf 1 0 0 1 157.963 156.191 Tm [(psb_Tprec_type)]TJ/F84 9.9626 Tf 0.994 0 0 1 233.688 156.191 Tm [(data)-253(type)-252(may)-253(contain)-252(a)-253(simpl)1(e)-253(pr)18(econditioning)]TJ 1.02 0 0 1 99.895 144.236 Tm [(matrix)-255(with)-254(the)-255(associated)-255(communication)-255(descr)1(iptor)72(.)-333(The)-254(internal)-255(pr)18(econdi-)]TJ 1.02 0 0 1 99.895 132.281 Tm [(tioner)-250(is)-249(allocated)-250(appr)18(opriately)-249(with)-250(the)-249(dynamic)-250(type)-249(corr)17(esponding)-249(to)-250(the)]TJ 1 0 0 1 99.895 120.326 Tm [(desir)18(ed)-250(pr)18(econditioner)74(.)]TJ 0 g 0 G 166.875 -29.888 Td [(27)]TJ 0 g 0 G @@ -9339,9 +9336,9 @@ ET endstream endobj -1116 0 obj +1119 0 obj << -/Length 4259 +/Length 4371 >> stream 0 g 0 G @@ -9359,7 +9356,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F102 8.9664 Tf 163.108 699.454 Td [(type)]TJ +/F231 8.9664 Tf 163.108 699.454 Td [(type)]TJ 0 g 0 G [-525(psb_Tprec_type)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -9390,85 +9387,85 @@ BT 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0 g 0 G 0 g 0 G -/F62 9.9626 Tf 1.845 -41.429 Td [(Listing)-250(4:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(pr)18(econditioner)74(.)]TJ/F59 11.9552 Tf -14.248 -32.698 Td [(3.5)-1000(Heap)-250(data)-250(structure)]TJ/F62 9.9626 Tf 0 -18.964 Td [(Among)-310(the)-311(tools)-310(r)18(outines)-310(of)-310(sec.)]TJ +/F84 9.9626 Tf 1.845 -41.429 Td [(Listing)-250(4:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(pr)18(econditioner)74(.)]TJ/F75 11.9552 Tf -14.248 -32.698 Td [(3.5)-1000(Heap)-250(data)-250(structure)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.316 584.445 Tm [(Among)-267(the)-267(t)1(ools)-267(r)17(outines)-266(of)-267(sec.)]TJ 0 0 1 rg 0 0 1 RG - [-311(6)]TJ + [-267(6)]TJ 0 g 0 G - [(,)-325(we)-310(have)-311(a)-310(number)-310(of)-311(so)1(rting)-311(utilities;)-340(the)]TJ 0 -11.955 Td [(heap)-250(sort)-250(is)-250(implemented)-250(in)-250(terms)-250(of)-250(heaps)-250(having)-250(the)-250(following)-250(signatur)18(es:)]TJ + [(,)-272(we)-267(have)-266(a)-267(number)-267(of)-267(sorting)-266(utilities;)-278(the)]TJ 1 0 0 1 150.705 572.49 Tm [(heap)-250(sort)-250(is)-250(implemented)-250(in)-250(terms)-250(of)-250(heaps)-250(having)-250(the)-250(following)-250(signatur)18(es:)]TJ 0 g 0 G -/F67 9.9626 Tf 0 -19.925 Td [(psb)]TJ +/F131 9.9626 Tf 0 -19.925 Td [(psb)]TJ ET q 1 0 0 1 167.023 552.764 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 170.162 552.565 Td [(T)]TJ +/F131 9.9626 Tf 170.162 552.565 Td [(T)]TJ ET q 1 0 0 1 176.02 552.764 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 179.158 552.565 Td [(heap)]TJ +/F131 9.9626 Tf 179.158 552.565 Td [(heap)]TJ 0 g 0 G -/F62 9.9626 Tf 25.903 0 Td [(:)-333(a)-262(heap)-262(containing)-262(e)1(lements)-262(of)-262(type)-262(T)74(,)-261(wher)18(e)-262(T)-262(can)-261(be)]TJ/F67 9.9626 Tf 242.282 0 Td [(i,s,c,d,z)]TJ/F62 9.9626 Tf -271.731 -11.955 Td [(for)-250(integer)74(,)-250(r)18(eal)-250(and)-250(complex)-250(data;)]TJ +/F84 9.9626 Tf 1.007 0 0 1 205.061 552.565 Tm [(:)-308(a)-249(heap)-249(contai)1(ning)-249(elements)-249(of)-248(type)-249(T)74(,)-249(wher)18(e)-248(T)-249(can)-249(be)]TJ/F131 9.9626 Tf 1 0 0 1 447.343 552.565 Tm [(i,s,c,d,z)]TJ/F84 9.9626 Tf -271.732 -11.955 Td 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[(gedots)-250(\227)-250(Generalized)-250(Dot)-250(Product)]TJ/F84 9.9626 Tf 1.014 0 0 1 150.396 687.165 Tm [(This)-246(subr)17(outine)-246(computes)-246(a)-247(se)1(ries)-247(of)-246(dot)-246(pr)17(oducts)-246(among)-246(the)-247(columns)-246(of)-246(two)]TJ 1 0 0 1 150.705 675.21 Tm [(dense)-250(matrices)]TJ/F78 9.9626 Tf 68.208 0 Td [(x)]TJ/F84 9.9626 Tf 7.696 0 Td [(and)]TJ/F78 9.9626 Tf 19.482 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(:)]TJ/F78 9.9626 Tf 24.807 -13.101 Td [(r)-17(e)-25(s)]TJ/F181 10.3811 Tf 12.293 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F181 10.3811 Tf 3.088 0 Td [(\051)]TJ/F179 10.3811 Tf 7.041 0 Td [(\040)]TJ/F78 9.9626 Tf 13.567 0 Td [(x)]TJ/F181 10.3811 Tf 5.33 0 Td [(\050)]TJ/F84 9.9626 Tf 4.274 0 Td [(:)-12(,)]TJ/F78 9.9626 Tf 6.821 0 Td [(i)]TJ/F181 10.3811 Tf 3.088 0 Td [(\051)]TJ/F78 7.5716 Tf 4.343 4.114 Td [(T)]TJ/F78 9.9626 Tf 5.525 -4.114 Td [(y)]TJ/F181 10.3811 Tf 5.23 0 Td [(\050)]TJ/F84 9.9626 Tf 4.274 0 Td [(:)-13(,)]TJ/F78 9.9626 Tf 6.821 0 Td [(i)]TJ/F181 10.3811 Tf 3.089 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 150.705 645.233 Tm [(If)-240(the)-240(matrices)-240(ar)19(e)-240(complex,)-243(then)-240(the)-240(usual)-239(convention)-240(applies,)-243(i.e.)-311(the)-240(conjugate)]TJ 1.007 0 0 1 150.705 633.278 Tm [(transpose)-249(of)]TJ/F78 9.9626 Tf 1 0 0 1 207.714 633.278 Tm [(x)]TJ/F84 9.9626 Tf 1.007 0 0 1 215.413 633.278 Tm [(is)-249(used.)-309(If)]TJ/F78 9.9626 Tf 1 0 0 1 261.437 633.278 Tm [(x)]TJ/F84 9.9626 Tf 1.007 0 0 1 269.136 633.278 Tm [(and)]TJ/F78 9.9626 Tf 1 0 0 1 288.74 633.278 Tm [(y)]TJ/F84 9.9626 Tf 1.007 0 0 1 296.34 633.278 Tm [(ar)18(e)-249(of)-248(rank)-249(one,)-249(then)]TJ/F78 9.9626 Tf 1 0 0 1 390.04 633.278 Tm [(r)-17(e)-25(s)]TJ/F84 9.9626 Tf 1.007 0 0 1 404.704 633.278 Tm [(is)-249(a)-248(scalar)73(,)-248(else)-249(it)-249(is)-248(a)]TJ 1 0 0 1 150.705 621.323 Tm [(rank)-250(one)-250(array)111(.)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F67 9.9626 Tf 20.174 -11.955 Td [(call)]TJ +/F131 9.9626 Tf 20.174 -11.955 Td [(call)]TJ 0 g 0 G [-525(psb_gedots\050res,)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -10706,42 +10703,42 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F60 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F62 9.9626 Tf 12.17 0 Td [(,)]TJ/F60 9.9626 Tf 5.275 0 Td [(x)]TJ/F62 9.9626 Tf 5.205 0 Td [(,)]TJ/F60 9.9626 Tf 5.106 0 Td [(y)]TJ/F59 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ +/F78 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F84 9.9626 Tf 12.17 0 Td [(,)]TJ/F78 9.9626 Tf 5.275 0 Td [(x)]TJ/F84 9.9626 Tf 5.205 0 Td [(,)]TJ/F78 9.9626 Tf 5.106 0 Td [(y)]TJ/F75 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ ET q 1 0 0 1 230.392 583.351 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F62 9.9626 Tf 236.369 574.783 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F84 9.9626 Tf 236.369 574.783 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 373.603 574.982 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 376.592 574.783 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F84 9.9626 Tf 376.592 574.783 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 373.603 563.027 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F84 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 373.603 551.072 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F84 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 373.603 539.116 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 376.592 538.917 Td [(gedots)]TJ +/F84 9.9626 Tf 376.592 538.917 Td [(gedots)]TJ ET q 1 0 0 1 230.392 535.131 cm @@ -10749,130 +10746,130 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 280.768 506.753 Td [(T)92(able)-250(3:)-310(Data)-250(types)]TJ +/F84 9.9626 Tf 280.768 506.753 Td [(T)92(able)-250(3:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -130.063 -32.002 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf -130.063 -32.002 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.22 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -19.22 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.22 Td [(x)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F60 9.9626 Tf 175.614 0 Td [(x)]TJ/F62 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 31.431 0 Td [(local)]TJ/F62 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F78 9.9626 Tf 175.614 0 Td [(x)]TJ/F84 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ 0.98 0 0 1 175.611 388.49 Tm [(Speci\002ed)-247(as:)-313(a)-247(rank)-247(one)-247(or)-248(two)-247(array)-247(or)-248(an)-247(object)-247(of)-247(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F131 9.9626 Tf 1 0 0 1 420.354 388.49 Tm [(psb)]TJ ET q 1 0 0 1 436.673 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 439.811 388.49 Td [(T)]TJ +/F131 9.9626 Tf 439.811 388.49 Td [(T)]TJ ET q 1 0 0 1 445.669 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 448.807 388.49 Td [(vect)]TJ +/F131 9.9626 Tf 448.807 388.49 Td [(vect)]TJ ET q 1 0 0 1 470.356 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 473.495 388.49 Td [(type)]TJ +/F131 9.9626 Tf 473.495 388.49 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf -297.884 -11.955 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ +/F84 9.9626 Tf 1.02 0 0 1 175.611 376.535 Tm [(containing)-270(numbers)-269(of)-270(type)-270(speci\002ed)-270(in)-269(T)90(able)]TJ 0 0 1 rg 0 0 1 RG - [-312(3)]TJ + [-270(3)]TJ 0 g 0 G - [(.)-494(The)-312(rank)-312(of)]TJ/F60 9.9626 Tf 274.834 0 Td [(x)]TJ/F62 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F60 9.9626 Tf 52.946 0 Td [(y)]TJ/F62 9.9626 Tf 5.106 0 Td [(.)]TJ + [(.)-378(The)-270(rank)-269(of)]TJ/F78 9.9626 Tf 1 0 0 1 450.52 376.535 Tm [(x)]TJ/F84 9.9626 Tf 1.02 0 0 1 458.466 376.535 Tm [(must)-270(be)]TJ 1 0 0 1 175.611 364.58 Tm [(the)-250(same)-250(of)]TJ/F78 9.9626 Tf 52.946 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -82.958 -19.221 Td [(y)]TJ +/F75 9.9626 Tf -82.958 -19.221 Td [(y)]TJ 0 g 0 G -/F62 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F60 9.9626 Tf 175.445 0 Td [(y)]TJ/F62 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F84 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F78 9.9626 Tf 175.445 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ 0.98 0 0 1 175.611 297.539 Tm [(Speci\002ed)-247(as:)-313(a)-247(rank)-247(one)-247(or)-248(two)-247(array)-247(or)-248(an)-247(object)-247(of)-247(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F131 9.9626 Tf 1 0 0 1 420.354 297.539 Tm [(psb)]TJ ET q 1 0 0 1 436.673 297.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 439.811 297.539 Td [(T)]TJ +/F131 9.9626 Tf 439.811 297.539 Td [(T)]TJ ET q 1 0 0 1 445.669 297.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 448.807 297.539 Td [(vect)]TJ +/F131 9.9626 Tf 448.807 297.539 Td [(vect)]TJ ET q 1 0 0 1 470.356 297.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 473.495 297.539 Td [(type)]TJ +/F131 9.9626 Tf 473.495 297.539 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf -297.884 -11.956 Td [(containing)-313(numbers)-314(of)-313(type)-313(speci\002ed)-314(in)-313(T)92(able)]TJ +/F84 9.9626 Tf 0.98 0 0 1 175.611 285.583 Tm [(containing)-246(numbers)-247(of)-246(type)-247(speci\002ed)-246(in)-247(T)94(able)]TJ 0 0 1 rg 0 0 1 RG - [-313(3)]TJ + [-246(3)]TJ 0 g 0 G - [(.)-500(The)-314(rank)-313(of)]TJ/F60 9.9626 Tf 274.898 0 Td [(y)]TJ/F62 9.9626 Tf 8.228 0 Td [(must)-313(be)]TJ -283.126 -11.955 Td [(the)-250(same)-250(of)]TJ/F60 9.9626 Tf 53.116 0 Td [(x)]TJ/F62 9.9626 Tf 5.205 0 Td [(.)]TJ + [(.)-314(The)-246(rank)-247(of)]TJ/F78 9.9626 Tf 1 0 0 1 436.643 285.583 Tm [(y)]TJ/F84 9.9626 Tf 0.98 0 0 1 444.155 285.583 Tm [(must)-246(be)-247(the)]TJ 1 0 0 1 175.611 273.628 Tm [(same)-250(of)]TJ/F78 9.9626 Tf 36.807 0 Td [(x)]TJ/F84 9.9626 Tf 5.206 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -83.227 -19.22 Td [(desc)]TJ +/F75 9.9626 Tf -66.919 -19.22 Td [(desc)]TJ ET q 1 0 0 1 171.218 254.607 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 254.408 Td [(a)]TJ +/F75 9.9626 Tf 174.207 254.408 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F131 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 206.786 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 327.311 206.587 Td [(desc)]TJ +/F131 9.9626 Tf 327.311 206.587 Td [(desc)]TJ ET q 1 0 0 1 348.86 206.786 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 351.998 206.587 Td [(type)]TJ +/F131 9.9626 Tf 351.998 206.587 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -222.214 -19.22 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -222.214 -19.22 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.221 Td [(res)]TJ 0 g 0 G -/F62 9.9626 Tf 18.261 0 Td [(is)-250(the)-250(dot)-250(pr)18(oduct)-250(of)-250(vectors)]TJ/F60 9.9626 Tf 126.33 0 Td [(x)]TJ/F62 9.9626 Tf 7.696 0 Td [(and)]TJ/F60 9.9626 Tf 19.482 0 Td [(y)]TJ/F62 9.9626 Tf 5.106 0 Td [(.)]TJ -151.968 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.431 0 Td [(global)]TJ/F62 9.9626 Tf -31.431 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-289(as:)-389(a)-290(number)-290(or)-289(a)-290(rank-one)-289(array)-290(of)-289(the)-290(data)-289(type)-290(indicated)-289(in)]TJ 0 -11.955 Td [(T)92(able)]TJ +/F84 9.9626 Tf 18.261 0 Td [(is)-250(the)-250(dot)-250(pr)18(oduct)-250(of)-250(vectors)]TJ/F78 9.9626 Tf 126.33 0 Td [(x)]TJ/F84 9.9626 Tf 7.696 0 Td [(and)]TJ/F78 9.9626 Tf 19.482 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(.)]TJ -151.968 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 0 Td [(global)]TJ/F84 9.9626 Tf -31.431 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ 1.02 0 0 1 175.611 132.281 Tm 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[(Speci\002ed)-255(as:)-316(a)-255(number)-255(or)-254(a)-255(rank-one)-255(array)-255(of)-255(long)-254(pr)18(ecision)-255(r)18(eal)-254(numbers.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.906 -19.925 Td [(info)]TJ +/F75 9.9626 Tf 1 0 0 1 150.705 240.157 Tm [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F84 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -89.943 Td [(38)]TJ + 142.356 -101.898 Td [(38)]TJ 0 g 0 G ET endstream endobj -1200 0 obj +1203 0 obj << -/Length 7404 +/Length 7563 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 99.895 706.129 Td [(4.6)-1000(psb)]TJ +/F75 11.9552 Tf 99.895 706.129 Td [(4.6)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 151.016 706.129 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F62 9.9626 Tf -51.121 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F60 9.9626 Tf 206.349 0 Td [(x)]TJ/F62 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F60 9.9626 Tf 9.46 0 Td [(x)]TJ/F62 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F60 9.9626 Tf 125.989 -21.269 Td [(a)-25(s)-25(u)-25(m)]TJ/F91 10.3811 Tf 25.352 0 Td [(\040)-291(k)]TJ/F60 9.9626 Tf 19.007 0 Td [(x)]TJ/F60 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F91 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F62 9.9626 Tf -195.526 -21.269 Td [(else)-250(if)]TJ/F60 9.9626 Tf 28.159 0 Td [(x)]TJ/F62 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F60 9.9626 Tf 71.974 -21.269 Td [(a)-25(s)-25(u)-25(m)]TJ/F91 10.3811 Tf 25.353 0 Td [(\040)-291(k)]TJ/F60 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F93 10.3811 Tf 8.17 0 Td [(\050)]TJ/F60 9.9626 Tf 4.443 0 Td [(x)]TJ/F93 10.3811 Tf 5.33 0 Td [(\051)]TJ/F91 10.3811 Tf 4.274 0 Td [(k)]TJ/F62 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F93 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F91 10.3811 Tf 10.256 0 Td [(k)]TJ/F60 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F93 10.3811 Tf 11.088 0 Td [(\050)]TJ/F60 9.9626 Tf 4.444 0 Td [(x)]TJ/F93 10.3811 Tf 5.329 0 Td [(\051)]TJ/F91 10.3811 Tf 4.274 0 Td [(k)]TJ/F62 7.5716 Tf 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ET q 1 0 0 1 128.44 563.671 cm []0 d 0 J 0.398 w 0 0 m 286.622 0 l S Q BT -/F62 9.9626 Tf 134.417 555.103 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F84 9.9626 Tf 134.417 555.103 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 371.775 555.303 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 374.763 555.103 Td [(geasum)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F84 9.9626 Tf 374.763 555.103 Td [(geasum)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 371.775 543.347 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 374.763 543.148 Td [(geasum)]TJ -240.346 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F84 9.9626 Tf 374.763 543.148 Td [(geasum)]TJ -240.346 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 371.775 531.392 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 374.763 531.193 Td [(geasum)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F84 9.9626 Tf 374.763 531.193 Td [(geasum)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 371.775 519.437 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 374.763 519.238 Td [(geasum)]TJ +/F84 9.9626 Tf 374.763 519.238 Td [(geasum)]TJ ET q 1 0 0 1 128.44 515.452 cm @@ -11428,97 +11425,97 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 229.958 487.074 Td [(T)92(able)-250(6:)-310(Data)-250(types)]TJ +/F84 9.9626 Tf 229.958 487.074 Td [(T)92(able)-250(6:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -130.063 -33.561 Td [(T)90(ype:)]TJ +/F75 9.9626 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[(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F78 9.9626 Tf 175.614 0 Td [(x)]TJ/F84 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ 0.98 0 0 1 124.802 366.361 Tm [(Speci\002ed)-247(as:)-313(a)-247(rank)-247(one)-247(or)-248(two)-247(array)-247(or)-247(an)-248(object)-247(of)-247(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F131 9.9626 Tf 1 0 0 1 369.545 366.361 Tm [(psb)]TJ ET q 1 0 0 1 385.864 366.56 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 389.002 366.361 Td [(T)]TJ +/F131 9.9626 Tf 389.002 366.361 Td [(T)]TJ ET q 1 0 0 1 394.86 366.56 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 397.998 366.361 Td [(vect)]TJ +/F131 9.9626 Tf 397.998 366.361 Td [(vect)]TJ ET q 1 0 0 1 419.547 366.56 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 422.685 366.361 Td [(type)]TJ +/F131 9.9626 Tf 422.685 366.361 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F84 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(6)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -19.666 Td [(desc)]TJ +/F75 9.9626 Tf -24.907 -19.666 Td [(desc)]TJ ET q 1 0 0 1 120.408 334.939 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 123.397 334.74 Td [(a)]TJ +/F75 9.9626 Tf 123.397 334.74 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td 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4.443 0 Td [(x)]TJ/F181 10.3811 Tf 5.33 0 Td [(\051)]TJ/F179 10.3811 Tf 4.274 0 Td [(k)]TJ/F84 7.5716 Tf 5.315 -1.858 Td [(1)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F67 9.9626 Tf -212.21 -21.96 Td [(call)]TJ +/F131 9.9626 Tf -212.21 -21.96 Td [(call)]TJ 0 g 0 G [-525(psb_geasums\050res,)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -11660,42 +11657,42 @@ q []0 d 0 J 0.398 w 0 0 m 290.846 0 l S Q BT -/F60 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F59 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ +/F78 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F75 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ ET q 1 0 0 1 126.328 502.274 cm []0 d 0 J 0.398 w 0 0 m 290.846 0 l S Q BT -/F62 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F84 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 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[(r)-17(e)-25(s)-8868(x)]TJ/F75 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ ET q 1 0 0 1 126.577 618.6 cm []0 d 0 J 0.398 w 0 0 m 290.348 0 l S Q BT -/F62 9.9626 Tf 132.554 610.032 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F84 9.9626 Tf 132.554 610.032 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 369.912 610.231 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 372.9 610.032 Td [(genrm2s)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F84 9.9626 Tf 372.9 610.032 Td [(genrm2s)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 369.912 598.276 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 372.9 598.077 Td [(genrm2s)]TJ -240.346 -11.955 Td 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542.002 Td [(T)92(able)-250(9:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -130.063 -34.468 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf -130.063 -34.468 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(x)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F60 9.9626 Tf 175.614 0 Td [(x)]TJ/F62 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F78 9.9626 Tf 175.614 0 Td [(x)]TJ/F84 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ 0.98 0 0 1 124.802 419.863 Tm [(Speci\002ed)-247(as:)-313(a)-247(rank)-247(one)-247(or)-248(two)-247(array)-247(or)-247(an)-248(object)-247(of)-247(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F131 9.9626 Tf 1 0 0 1 369.545 419.863 Tm [(psb)]TJ ET q 1 0 0 1 385.864 420.062 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 389.002 419.863 Td [(T)]TJ +/F131 9.9626 Tf 389.002 419.863 Td [(T)]TJ ET q 1 0 0 1 394.86 420.062 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 397.998 419.863 Td [(vect)]TJ +/F131 9.9626 Tf 397.998 419.863 Td [(vect)]TJ ET q 1 0 0 1 419.547 420.062 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 422.685 419.863 Td [(type)]TJ +/F131 9.9626 Tf 422.685 419.863 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf -297.883 -11.956 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F84 9.9626 Tf -297.883 -11.956 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(9)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -19.925 Td [(desc)]TJ +/F75 9.9626 Tf -24.907 -19.925 Td [(desc)]TJ ET q 1 0 0 1 120.408 388.181 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 123.397 387.982 Td [(a)]TJ +/F75 9.9626 Tf 123.397 387.982 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td 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0 1 273.363 340.361 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 276.501 340.161 Td [(desc)]TJ +/F131 9.9626 Tf 276.501 340.161 Td [(desc)]TJ ET q 1 0 0 1 298.05 340.361 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 301.189 340.161 Td [(type)]TJ +/F131 9.9626 Tf 301.189 340.161 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -222.215 -19.925 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -222.215 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(res)]TJ 0 g 0 G -/F62 9.9626 Tf 18.262 0 Td [(contains)-250(the)-250(1-norm)-250(of)-250(\050the)-250(columns)-250(of\051)]TJ/F60 9.9626 Tf 176.182 0 Td [(x)]TJ/F62 9.9626 Tf 5.205 0 Td [(.)]TJ -174.742 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ +/F84 9.9626 Tf 18.262 0 Td [(contains)-250(the)-250(1-norm)-250(of)-250(\050the)-250(columns)-250(of\051)]TJ/F78 9.9626 Tf 176.182 0 Td [(x)]TJ/F84 9.9626 Tf 5.205 0 Td [(.)]TJ -174.742 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -19.925 Td [(info)]TJ +/F75 9.9626 Tf -24.907 -19.925 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -106.261 Td [(45)]TJ + 142.357 -106.261 Td [(45)]TJ 0 g 0 G ET endstream endobj -1251 0 obj +1254 0 obj << -/Length 5385 +/Length 5390 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(4.10)-1000(psb)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(4.10)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 207.803 706.129 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ/F62 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(matrix)]TJ/F60 9.9626 Tf 208.231 0 Td [(A)]TJ/F62 9.9626 Tf 7.318 0 Td [(:)]TJ/F60 9.9626 Tf -74.65 -33.873 Td [(n)-15(r)-35(m)]TJ/F62 9.9626 Tf 17.788 0 Td [(1)]TJ/F91 10.3811 Tf 7.873 0 Td [(\040)-291(k)]TJ/F60 9.9626 Tf 19.335 0 Td [(A)]TJ/F91 10.3811 Tf 7.442 0 Td [(k)]TJ/F62 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F62 9.9626 Tf -198.652 -20.06 Td [(wher)18(e:)]TJ +/F75 11.9552 Tf 207.803 706.129 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ/F84 9.9626 Tf -57.407 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(matrix)]TJ/F78 9.9626 Tf 208.232 0 Td [(A)]TJ/F84 9.9626 Tf 7.317 0 Td [(:)]TJ/F78 9.9626 Tf -74.341 -33.873 Td [(n)-15(r)-35(m)]TJ/F84 9.9626 Tf 17.788 0 Td [(1)]TJ/F179 10.3811 Tf 7.873 0 Td [(\040)-291(k)]TJ/F78 9.9626 Tf 19.335 0 Td [(A)]TJ/F179 10.3811 Tf 7.442 0 Td [(k)]TJ/F84 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F84 9.9626 Tf -199.071 -20.06 Td [(wher)18(e:)]TJ 0 g 0 G -/F60 9.9626 Tf 0.622 -19.925 Td [(A)]TJ +/F78 9.9626 Tf 1.041 -19.925 Td [(A)]TJ 0 g 0 G -/F62 9.9626 Tf 12.299 0 Td [(r)18(epr)18(esents)-250(the)-250(global)-250(matrix)]TJ/F60 9.9626 Tf 125.981 0 Td [(A)]TJ +/F84 9.9626 Tf 12.299 0 Td [(r)18(epr)18(esents)-250(the)-250(global)-250(matrix)]TJ/F78 9.9626 Tf 125.981 0 Td [(A)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -12284,42 +12281,42 @@ q []0 d 0 J 0.398 w 0 0 m 185.901 0 l S Q BT -/F60 9.9626 Tf 236.21 579.947 Td [(A)]TJ/F59 9.9626 Tf 120.293 0 Td [(Function)]TJ +/F78 9.9626 Tf 236.21 579.947 Td [(A)]TJ/F75 9.9626 Tf 120.293 0 Td [(Function)]TJ ET q 1 0 0 1 229.61 576.161 cm []0 d 0 J 0.398 w 0 0 m 185.901 0 l S Q BT -/F62 9.9626 Tf 235.587 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F84 9.9626 Tf 235.587 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 372.821 567.793 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 375.81 567.594 Td [(spnrm1)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F84 9.9626 Tf 375.81 567.594 Td [(spnrm1)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 372.821 555.838 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 375.81 555.638 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F84 9.9626 Tf 375.81 555.638 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 372.821 543.882 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 375.81 543.683 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F84 9.9626 Tf 375.81 543.683 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 372.821 531.927 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 375.81 531.728 Td [(spnrm1)]TJ +/F84 9.9626 Tf 375.81 531.728 Td [(spnrm1)]TJ ET q 1 0 0 1 229.61 527.942 cm @@ -12327,108 +12324,108 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 278.277 499.564 Td [(T)92(able)-250(10:)-310(Data)-250(types)]TJ +/F84 9.9626 Tf 278.277 499.564 Td [(T)92(able)-250(10:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -127.572 -33.873 Td [(psb_spnrm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_norm1\050A,)-525(desc_a,)-525(info\051)]TJ +/F131 9.9626 Tf -127.572 -33.873 Td [(psb_spnrm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_norm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(a)]TJ 0 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[(Speci\002ed)-208(as:)-293(a)-208(rank)-208(one)-208(array)-208(of)-208(the)-209(same)-208(type)-208(of)]TJ/F78 9.9626 Tf 1 0 0 1 334.636 302.31 Tm [(x)]TJ/F84 9.9626 Tf 0.98 0 0 1 341.873 302.31 Tm [(and)]TJ/F78 9.9626 Tf 1 0 0 1 360.559 302.31 Tm [(y)]TJ/F84 9.9626 Tf 0.98 0 0 1 367.696 302.31 Tm [(with)-208(the)-208(T)75(ARGET)]TJ 1 0 0 1 124.802 290.355 Tm [(attribute.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -18.597 Td [(y)]TJ 0 g 0 G -/F62 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F60 9.9626 Tf 144.939 0 Td [(y)]TJ/F62 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(inout)]TJ/F62 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ +/F84 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F78 9.9626 Tf 144.939 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ 1.02 0 0 1 124.802 205.34 Tm [(Speci\002ed)-330(as:)-475(an)-331(array)-330(of)-331(rank)-330(one)-330(or)-331(two)-330(containing)-331(numbers)-330(of)-331(type)]TJ 1 0 0 1 124.802 193.385 Tm [(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(12)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -18.597 Td [(info)]TJ +/F75 9.9626 Tf -24.907 -18.597 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -36.529 Td [(49)]TJ + 142.357 -36.529 Td [(49)]TJ 0 g 0 G ET endstream endobj -1292 0 obj +1295 0 obj << -/Length 8092 +/Length 8140 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F62 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F60 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F91 10.3811 Tf 15.193 0 Td [(\040)]TJ/F68 9.9626 Tf 20.593 0 Td [(a)]TJ/F60 9.9626 Tf 5.639 0 Td [(T)]TJ/F91 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F62 7.5716 Tf 6.228 0 Td [(1)]TJ/F60 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F93 10.3811 Tf 7.267 0 Td [(+)]TJ/F68 9.9626 Tf 10.505 0 Td [(b)]TJ/F60 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F91 10.3811 Tf 15.193 0 Td [(\040)]TJ/F68 9.9626 Tf 20.593 0 Td [(a)]TJ/F60 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F91 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F62 7.5716 Tf 6.227 0 Td [(1)]TJ/F60 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F93 10.3811 Tf 7.267 0 Td [(+)]TJ/F68 9.9626 Tf 10.505 0 Td [(b)]TJ/F60 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F91 10.3811 Tf 15.193 0 Td [(\040)]TJ/F68 9.9626 Tf 20.593 0 Td [(a)]TJ/F60 9.9626 Tf 5.639 0 Td [(T)]TJ/F91 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F62 7.5716 Tf 6.228 0 Td [(1)]TJ/F60 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F93 10.3811 Tf 15.536 0 Td [(+)]TJ/F68 9.9626 Tf 10.505 0 Td [(b)]TJ/F60 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F91 10.3811 Tf 15.193 0 Td [(\040)]TJ/F68 9.9626 Tf 20.593 0 Td [(a)]TJ/F60 9.9626 Tf 5.639 0 Td [(T)]TJ/F91 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F60 7.5716 Tf 6.421 0 Td [(T)]TJ/F60 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F93 10.3811 Tf 7.267 0 Td [(+)]TJ/F68 9.9626 Tf 10.505 0 Td [(b)]TJ/F60 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F91 10.3811 Tf 15.193 0 Td [(\040)]TJ/F68 9.9626 Tf 20.593 0 Td [(a)]TJ/F60 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F91 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F60 7.5716 Tf 6.42 0 Td [(T)]TJ/F60 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F93 10.3811 Tf 7.267 0 Td [(+)]TJ/F68 9.9626 Tf 10.505 0 Td [(b)]TJ/F60 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F91 10.3811 Tf 15.193 0 Td [(\040)]TJ/F68 9.9626 Tf 20.593 0 Td [(a)]TJ/F60 9.9626 Tf 5.639 0 Td [(T)]TJ/F91 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F60 7.5716 Tf 6.421 0 Td [(T)]TJ/F60 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F93 10.3811 Tf 15.536 0 Td [(+)]TJ/F68 9.9626 Tf 10.505 0 Td [(b)]TJ/F60 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F91 10.3811 Tf 15.193 0 Td [(\040)]TJ/F68 9.9626 Tf 20.593 0 Td [(a)]TJ/F60 9.9626 Tf 5.639 0 Td [(T)]TJ/F91 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F60 7.5716 Tf 6.61 0 Td [(H)]TJ/F60 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F93 10.3811 Tf 7.267 0 Td [(+)]TJ/F68 9.9626 Tf 10.505 0 Td [(b)]TJ/F60 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F91 10.3811 Tf 15.193 0 Td [(\040)]TJ/F68 9.9626 Tf 20.593 0 Td [(a)]TJ/F60 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F91 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F60 7.5716 Tf 6.61 0 Td [(H)]TJ/F60 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F93 10.3811 Tf 7.267 0 Td [(+)]TJ/F68 9.9626 Tf 10.504 0 Td [(b)]TJ/F60 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F91 10.3811 Tf 15.193 0 Td [(\040)]TJ/F68 9.9626 Tf 20.593 0 Td [(a)]TJ/F60 9.9626 Tf 5.639 0 Td [(T)]TJ/F91 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F60 7.5716 Tf 6.61 0 Td [(H)]TJ/F60 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F93 10.3811 Tf 15.536 0 Td [(+)]TJ/F68 9.9626 Tf 10.505 0 Td [(b)]TJ/F60 9.9626 Tf 5.648 0 Td [(y)]TJ/F62 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ +/F75 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F84 9.9626 Tf -57.407 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F78 9.9626 Tf 123.033 -35.213 Td [(y)]TJ/F179 10.3811 Tf 15.193 0 Td [(\040)]TJ/F133 9.9626 Tf 20.593 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F179 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F84 7.5716 Tf 6.228 0 Td [(1)]TJ/F78 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F181 10.3811 Tf 7.267 0 Td [(+)]TJ/F133 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F179 10.3811 Tf 15.193 0 Td [(\040)]TJ/F133 9.9626 Tf 20.593 0 Td [(a)]TJ/F78 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F179 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F84 7.5716 Tf 6.227 0 Td [(1)]TJ/F78 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F181 10.3811 Tf 7.267 0 Td [(+)]TJ/F133 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F179 10.3811 Tf 15.193 0 Td [(\040)]TJ/F133 9.9626 Tf 20.593 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F179 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F84 7.5716 Tf 6.228 0 Td [(1)]TJ/F78 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F181 10.3811 Tf 15.536 0 Td [(+)]TJ/F133 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F179 10.3811 Tf 15.193 0 Td [(\040)]TJ/F133 9.9626 Tf 20.593 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F179 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F78 7.5716 Tf 6.421 0 Td [(T)]TJ/F78 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F181 10.3811 Tf 7.267 0 Td [(+)]TJ/F133 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F179 10.3811 Tf 15.193 0 Td [(\040)]TJ/F133 9.9626 Tf 20.593 0 Td [(a)]TJ/F78 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F179 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F78 7.5716 Tf 6.42 0 Td [(T)]TJ/F78 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F181 10.3811 Tf 7.267 0 Td [(+)]TJ/F133 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F179 10.3811 Tf 15.193 0 Td [(\040)]TJ/F133 9.9626 Tf 20.593 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F179 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F78 7.5716 Tf 6.421 0 Td [(T)]TJ/F78 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F181 10.3811 Tf 15.536 0 Td [(+)]TJ/F133 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F179 10.3811 Tf 15.193 0 Td [(\040)]TJ/F133 9.9626 Tf 20.593 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F179 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F78 7.5716 Tf 6.61 0 Td [(H)]TJ/F78 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F181 10.3811 Tf 7.267 0 Td [(+)]TJ/F133 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F179 10.3811 Tf 15.193 0 Td [(\040)]TJ/F133 9.9626 Tf 20.593 0 Td [(a)]TJ/F78 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F179 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F78 7.5716 Tf 6.61 0 Td [(H)]TJ/F78 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F181 10.3811 Tf 7.267 0 Td [(+)]TJ/F133 9.9626 Tf 10.504 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F179 10.3811 Tf 15.193 0 Td [(\040)]TJ/F133 9.9626 Tf 20.593 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F179 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F78 7.5716 Tf 6.61 0 Td [(H)]TJ/F78 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F181 10.3811 Tf 15.536 0 Td [(+)]TJ/F133 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.648 0 Td [(y)]TJ/F84 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ 0 g 0 G -/F60 9.9626 Tf -14.65 -21.265 Td [(x)]TJ +/F78 9.9626 Tf -14.65 -21.265 Td [(x)]TJ 0 g 0 G -/F62 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F60 9.9626 Tf 115.61 0 Td [(x)]TJ/F62 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ +/F84 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F78 9.9626 Tf 115.61 0 Td [(x)]TJ/F84 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ 0 g 0 G -/F60 9.9626 Tf -131.167 -20.218 Td [(y)]TJ +/F78 9.9626 Tf -131.167 -20.218 Td [(y)]TJ 0 g 0 G -/F62 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F60 9.9626 Tf 115.441 0 Td [(y)]TJ/F62 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ +/F84 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F78 9.9626 Tf 115.441 0 Td [(y)]TJ/F84 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ 0 g 0 G -/F60 9.9626 Tf -130.599 -20.218 Td [(T)]TJ +/F78 9.9626 Tf -130.599 -20.218 Td [(T)]TJ 0 g 0 G -/F62 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F60 9.9626 Tf 206.797 0 Td [(T)]TJ +/F84 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F78 9.9626 Tf 206.797 0 Td [(T)]TJ 0 g 0 G -218.159 -21.712 Td [(D)]TJ 0 g 0 G -/F62 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ +/F84 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F67 9.9626 Tf 6.894 -21.266 Td [(call)]TJ +/F131 9.9626 Tf 6.894 -21.266 Td [(call)]TJ 0 g 0 G [-525(psb_spsm\050alpha,)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -13642,42 +13635,42 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F60 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F62 9.9626 Tf 6.451 0 Td [(,)]TJ/F60 9.9626 Tf 5.275 0 Td [(x)]TJ/F62 9.9626 Tf 5.206 0 Td [(,)]TJ/F60 9.9626 Tf 5.106 0 Td [(y)]TJ/F62 9.9626 Tf 5.105 0 Td [(,)]TJ/F60 9.9626 Tf 5.306 0 Td [(D)]TJ/F62 9.9626 Tf 7.975 0 Td [(,)]TJ/F68 9.9626 Tf 5.105 0 Td [(a)]TJ/F62 9.9626 Tf 5.385 0 Td [(,)]TJ/F68 9.9626 Tf 5.355 0 Td [(b)]TJ/F59 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ +/F78 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F84 9.9626 Tf 6.451 0 Td [(,)]TJ/F78 9.9626 Tf 5.275 0 Td [(x)]TJ/F84 9.9626 Tf 5.206 0 Td [(,)]TJ/F78 9.9626 Tf 5.106 0 Td [(y)]TJ/F84 9.9626 Tf 5.105 0 Td [(,)]TJ/F78 9.9626 Tf 5.306 0 Td [(D)]TJ/F84 9.9626 Tf 7.975 0 Td [(,)]TJ/F133 9.9626 Tf 5.105 0 Td [(a)]TJ/F84 9.9626 Tf 5.385 0 Td [(,)]TJ/F133 9.9626 Tf 5.355 0 Td [(b)]TJ/F75 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ ET q 1 0 0 1 230.392 327.085 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F62 9.9626 Tf 236.369 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Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(13)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -20.65 Td [(y)]TJ +/F75 9.9626 Tf -24.907 -20.65 Td [(y)]TJ 0 g 0 G -/F62 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F60 9.9626 Tf 175.445 0 Td [(y)]TJ/F62 9.9626 Tf 5.105 0 Td [(.)]TJ -166.164 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(inout)]TJ/F62 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td 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[(T)]TJ ET q 1 0 0 1 394.86 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 397.998 428.986 Td [(vect)]TJ +/F131 9.9626 Tf 397.998 428.986 Td [(vect)]TJ ET q 1 0 0 1 419.547 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 422.685 428.986 Td [(type)]TJ +/F131 9.9626 Tf 422.685 428.986 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf -297.883 -11.955 Td [(containing)-280(numbers)-280(of)-280(type)-280(speci\002ed)-280(in)-280(T)92(able)]TJ +/F84 9.9626 Tf 1.016 0 0 1 124.802 417.031 Tm [(containing)-246(numbers)-247(of)-246(type)-247(speci\002ed)-246(in)-246(T)90(able)]TJ 0 0 1 rg 0 0 1 RG - [-280(13)]TJ + [-246(13)]TJ 0 g 0 G - [(.)-400(The)-280(rank)-280(of)]TJ/F60 9.9626 Tf 275.562 0 Td [(y)]TJ/F62 9.9626 Tf 7.895 0 Td [(must)-280(be)]TJ -283.457 -11.955 Td [(the)-250(same)-250(of)]TJ/F60 9.9626 Tf 53.115 0 Td [(x)]TJ/F62 9.9626 Tf 5.206 0 Td [(.)]TJ + [(.)-306(The)-247(rank)-246(of)]TJ/F78 9.9626 Tf 1 0 0 1 400.434 417.031 Tm [(y)]TJ/F84 9.9626 Tf 1.016 0 0 1 408.034 417.031 Tm [(must)-246(be)]TJ 1 0 0 1 124.802 405.076 Tm [(the)-250(same)-250(of)]TJ/F78 9.9626 Tf 53.115 0 Td [(x)]TJ/F84 9.9626 Tf 5.206 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -83.228 -20.65 Td [(desc)]TJ +/F75 9.9626 Tf -83.228 -20.65 Td [(desc)]TJ ET q 1 0 0 1 120.408 384.625 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 123.397 384.426 Td [(a)]TJ +/F75 9.9626 Tf 123.397 384.426 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ 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Tf 329.544 604.686 Td [(geinv)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 326.555 592.93 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 329.544 592.731 Td [(geinv)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F84 9.9626 Tf 329.544 592.731 Td [(geinv)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 326.555 580.975 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 329.544 580.775 Td [(geinv)]TJ +/F84 9.9626 Tf 329.544 580.775 Td [(geinv)]TJ ET q 1 0 0 1 183.343 576.99 cm @@ -14508,142 +14501,142 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 227.467 548.611 Td [(T)92(able)-250(16:)-310(Data)-250(types)]TJ +/F84 9.9626 Tf 227.467 548.611 Td [(T)92(able)-250(16:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -127.572 -29.451 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf -127.572 -29.451 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td 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20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -222.215 -18.491 Td [(\003ag)]TJ +/F75 9.9626 Tf -222.215 -18.491 Td [(\003ag)]TJ 0 g 0 G -/F62 9.9626 Tf 21.589 0 Td [(check)-278(if)-279(any)-278(of)-278(the)]TJ/F60 9.9626 Tf 84.227 0 Td [(x)]TJ/F93 10.3811 Tf 5.329 0 Td [(\050)]TJ/F60 9.9626 Tf 4.205 0 Td [(i)]TJ/F93 10.3811 Tf 3.088 0 Td [(\051)-340(=)]TJ/F62 9.9626 Tf 19.049 0 Td [(0,)-285(and)-279(in)-278(case)-279(r)18(eturns)-278(err)18(or)-278(halting)-279(the)-278(compu-)]TJ -112.58 -11.955 Td [(tation.)]TJ 0 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf 40.677 0 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -108.97 -11.955 Td [(Speci\002ed)-250(as:)-310(the)-250(logical)-250(value)]TJ/F67 9.9626 Tf 132.133 0 Td [(flag)]TJ +/F84 9.9626 Tf 0.993 0 0 1 121.484 337.597 Tm [(check)-252(if)-252(any)-252(of)-252(the)]TJ/F78 9.9626 Tf 1 0 0 1 203.823 337.597 Tm [(x)]TJ/F181 10.3811 Tf 5.33 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 3.089 0 Td [(\051)-290(=)]TJ/F84 9.9626 Tf 0.993 0 0 1 234.46 337.597 Tm [(0,)-252(and)-252(in)-252(case)-252(r)18(eturns)-252(err)18(or)-252(halting)-252(the)-252(computa-)]TJ 1 0 0 1 124.802 325.642 Tm [(tion.)]TJ 0 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 40.677 0 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -108.661 -11.955 Td [(Speci\002ed)-250(as:)-310(the)-250(logical)-250(value)]TJ/F131 9.9626 Tf 132.133 0 Td [(flag)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G [(.true.)]TJ 0 g 0 G -/F59 9.9626 Tf -157.04 -18.492 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -157.04 -18.492 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -18.491 Td [(y)]TJ 0 g 0 G -/F62 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F60 9.9626 Tf 160.849 0 Td [(x)]TJ/F62 9.9626 Tf 5.206 0 Td [(.)]TJ -151.669 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ +/F84 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F78 9.9626 Tf 160.849 0 Td [(x)]TJ/F84 9.9626 Tf 5.206 0 Td [(.)]TJ -151.669 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ 0.98 0 0 1 124.802 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[(13)-4107(13)-1754(1.0)-4000(13)-4107(45)-1753(2.0)]TJ 0 -10.959 Td [(14)-4107(14)-1754(1.0)-4000(14)-4107(46)-1753(2.0)]TJ 0 -10.959 Td [(15)-4107(15)-1754(1.0)-4000(15)-4107(47)-1753(2.0)]TJ 0 -10.959 Td [(16)-4107(16)-1754(1.0)-4000(16)-4107(48)-1753(2.0)]TJ 0 -10.959 Td [(17)-4107(17)-1754(1.0)-4000(17)-4107(49)-1753(2.0)]TJ 0 -10.958 Td [(18)-4107(18)-1754(1.0)-4000(18)-4107(50)-1753(2.0)]TJ 0 -10.959 Td [(19)-4107(19)-1754(1.0)-4000(19)-4107(51)-1753(2.0)]TJ 0 -10.959 Td [(20)-4107(20)-1754(1.0)-4000(20)-4107(52)-1753(2.0)]TJ 0 -10.959 Td [(21)-4107(21)-1754(1.0)-4000(21)-4107(53)-1753(2.0)]TJ 0 -10.959 Td [(22)-4107(22)-1754(1.0)-4000(22)-4107(54)-1753(2.0)]TJ 0 -10.959 Td [(23)-4107(23)-1754(1.0)-4000(23)-4107(55)-1753(2.0)]TJ 0 -10.959 Td [(24)-4107(24)-1754(1.0)-4000(24)-4107(56)-1753(2.0)]TJ 0 -10.959 Td [(25)-4107(25)-1754(1.0)-4000(25)-4107(57)-1753(2.0)]TJ 0 -10.959 Td [(26)-4107(26)-1754(1.0)-4000(26)-4107(58)-1753(2.0)]TJ 0 -10.959 Td [(27)-4107(27)-1754(1.0)-4000(27)-4107(59)-1753(2.0)]TJ 0 -10.958 Td [(28)-4107(28)-1754(1.0)-4000(28)-4107(60)-1753(2.0)]TJ 0 -10.959 Td [(29)-4107(29)-1754(1.0)-4000(29)-4107(61)-1753(2.0)]TJ 0 -10.959 Td [(30)-4107(30)-1754(1.0)-4000(30)-4107(62)-1753(2.0)]TJ 0 -10.959 Td [(31)-4107(31)-1754(1.0)-4000(31)-4107(63)-1753(2.0)]TJ 0 -10.959 Td [(32)-4107(32)-1754(1.0)-4000(32)-4107(64)-1753(2.0)]TJ 0 -10.959 Td [(33)-4107(33)-1754(2.0)-4000(33)-4107(25)-1753(1.0)]TJ 0 -10.959 Td [(34)-4107(34)-1754(2.0)-4000(34)-4107(26)-1753(1.0)]TJ 0 -10.959 Td [(35)-4107(35)-1754(2.0)-4000(35)-4107(27)-1753(1.0)]TJ 0 -10.959 Td [(36)-4107(36)-1754(2.0)-4000(36)-4107(28)-1753(1.0)]TJ 0 -10.959 Td [(37)-4107(37)-1754(2.0)-4000(37)-4107(29)-1753(1.0)]TJ 0 -10.958 Td [(38)-4107(38)-1754(2.0)-4000(38)-4107(30)-1753(1.0)]TJ 0 -10.959 Td [(39)-4107(39)-1754(2.0)-4000(39)-4107(31)-1753(1.0)]TJ 0 -10.959 Td [(40)-4107(40)-1754(2.0)-4000(40)-4107(32)-1753(1.0)]TJ 0 g 0 G 0 g 0 G -/F62 9.9626 Tf 94.641 -105.903 Td [(61)]TJ +/F84 9.9626 Tf 94.641 -105.903 Td [(61)]TJ 0 g 0 G ET endstream endobj -1394 0 obj +1397 0 obj << -/Length 7819 +/Length 7852 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 201.825 706.129 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ/F62 9.9626 Tf -51.12 -18.964 Td [(These)-250(subr)18(outines)-250(applies)-250(an)-250(overlap)-250(operator)-250(to)-250(the)-250(input)-250(vector:)]TJ/F60 9.9626 Tf 154.518 -23.824 Td [(x)]TJ/F91 10.3811 Tf 8.097 0 Td [(\040)]TJ/F60 9.9626 Tf 13.497 0 Td [(Q)-42(x)]TJ/F62 9.9626 Tf -176.112 -21.014 Td [(wher)18(e:)]TJ +/F75 11.9552 Tf 201.825 706.129 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ/F84 9.9626 Tf -51.429 -18.964 Td [(These)-250(subr)18(outines)-250(applies)-250(an)-250(overlap)-250(operator)-250(to)-250(the)-250(input)-250(vector:)]TJ/F78 9.9626 Tf 154.827 -23.824 Td [(x)]TJ/F179 10.3811 Tf 8.097 0 Td [(\040)]TJ/F78 9.9626 Tf 13.497 0 Td [(Q)-42(x)]TJ/F84 9.9626 Tf -176.531 -21.014 Td [(wher)18(e:)]TJ 0 g 0 G -/F60 9.9626 Tf 0.294 -19.203 Td [(x)]TJ +/F78 9.9626 Tf 0.713 -19.203 Td [(x)]TJ 0 g 0 G -/F62 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F60 9.9626 Tf 131.351 0 Td [(x)]TJ +/F84 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F78 9.9626 Tf 131.351 0 Td [(x)]TJ 0 g 0 G -141.607 -19.564 Td [(Q)]TJ 0 g 0 G -/F62 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F60 9.9626 Tf 271.931 0 Td [(P)]TJ/F60 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F62 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F60 9.9626 Tf 19.681 0 Td [(P)]TJ/F60 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F62 9.9626 Tf 5.401 -3.616 Td [(.)]TJ +/F84 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F78 9.9626 Tf 271.931 0 Td [(P)]TJ/F78 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F84 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F78 9.9626 Tf 19.681 0 Td [(P)]TJ/F78 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F84 9.9626 Tf 5.401 -3.616 Td [(.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -15798,42 +15788,42 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F60 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F59 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ +/F78 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F75 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ ET q 1 0 0 1 230.392 569.356 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F62 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F84 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 373.603 560.988 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F84 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 373.603 549.032 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F84 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 373.603 537.077 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F84 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 373.603 525.122 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ +/F84 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ ET q 1 0 0 1 230.392 521.137 cm @@ -15841,11 +15831,11 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ +/F84 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F67 9.9626 Tf -127.572 -23.549 Td [(call)]TJ +/F131 9.9626 Tf -127.572 -23.549 Td [(call)]TJ 0 g 0 G [-525(psb_ovrl\050x,)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -15879,87 +15869,87 @@ BT 0 g 0 G [(work\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -21.014 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -21.014 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.564 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -19.564 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.564 Td [(x)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(global)-250(dense)-250(matrix)]TJ/F60 9.9626 Tf 89.687 0 Td [(x)]TJ/F62 9.9626 Tf 5.205 0 Td [(.)]TJ -79.948 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.431 0 Td [(local)]TJ/F62 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.148 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(global)-250(dense)-250(matrix)]TJ/F78 9.9626 Tf 89.687 0 Td [(x)]TJ/F84 9.9626 Tf 5.205 0 Td [(.)]TJ -79.948 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ 0.98 0 0 1 175.611 349.291 Tm [(Speci\002ed)-247(as:)-313(a)-247(rank)-247(one)-247(or)-248(two)-247(array)-247(or)-248(an)-247(object)-247(of)-247(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F131 9.9626 Tf 1 0 0 1 420.354 349.291 Tm [(psb)]TJ ET q 1 0 0 1 436.673 349.49 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 439.811 349.291 Td [(T)]TJ +/F131 9.9626 Tf 439.811 349.291 Td [(T)]TJ ET q 1 0 0 1 445.669 349.49 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 448.807 349.291 Td [(vect)]TJ +/F131 9.9626 Tf 448.807 349.291 Td [(vect)]TJ ET q 1 0 0 1 470.356 349.49 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 473.495 349.291 Td [(type)]TJ +/F131 9.9626 Tf 473.495 349.291 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F84 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(18)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ +/F75 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ ET q 1 0 0 1 171.218 317.971 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 317.772 Td [(a)]TJ +/F75 9.9626 Tf 174.207 317.772 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 270.151 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 363.206 269.951 Td [(desc)]TJ +/F131 9.9626 Tf 363.206 269.951 Td [(desc)]TJ ET q 1 0 0 1 384.755 270.151 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 387.893 269.951 Td [(type)]TJ +/F131 9.9626 Tf 387.893 269.951 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -19.564 Td [(update)]TJ +/F75 9.9626 Tf -258.11 -19.564 Td [(update)]TJ 0 g 0 G -/F62 9.9626 Tf 36.523 0 Td [(Update)-250(operator)74(.)]TJ +/F84 9.9626 Tf 36.523 0 Td [(Update)-250(operator)74(.)]TJ 0 g 0 G -/F59 9.9626 Tf -11.617 -31.519 Td [(update)-250(=)-250(psb)]TJ +/F75 9.9626 Tf -11.617 -31.519 Td [(update)-250(=)-250(psb)]TJ ET q 1 0 0 1 235.367 219.067 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 238.356 218.868 Td [(none)]TJ +/F75 9.9626 Tf 238.356 218.868 Td [(none)]TJ ET q 1 0 0 1 261.648 219.067 cm @@ -15967,16 +15957,16 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 269.619 218.868 Td [(Do)-250(nothing;)]TJ +/F84 9.9626 Tf 269.619 218.868 Td [(Do)-250(nothing;)]TJ 0 g 0 G -/F59 9.9626 Tf -94.008 -15.579 Td [(update)-250(=)-250(psb)]TJ +/F75 9.9626 Tf -94.008 -15.579 Td [(update)-250(=)-250(psb)]TJ ET q 1 0 0 1 235.367 203.488 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 238.356 203.289 Td [(add)]TJ +/F75 9.9626 Tf 238.356 203.289 Td [(add)]TJ ET q 1 0 0 1 256.109 203.488 cm @@ -15984,16 +15974,16 @@ q Q 0 g 0 G BT -/F62 9.9626 Tf 264.079 203.289 Td [(Sum)-250(overlap)-250(entries,)-250(i.e.)-310(apply)]TJ/F60 9.9626 Tf 137.239 0 Td [(P)]TJ/F60 7.5716 Tf 6.405 3.617 Td [(T)]TJ/F62 9.9626 Tf 5.4 -3.617 Td [(;)]TJ +/F84 9.9626 Tf 264.079 203.289 Td [(Sum)-250(overlap)-250(entries,)-250(i.e.)-310(apply)]TJ/F78 9.9626 Tf 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0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.343 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 328.692 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 312.397 328.492 Td [(desc)]TJ +/F131 9.9626 Tf 312.397 328.492 Td [(desc)]TJ ET q 1 0 0 1 333.945 328.692 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 337.084 328.492 Td [(type)]TJ +/F131 9.9626 Tf 337.084 328.492 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -20.135 Td [(info)]TJ +/F75 9.9626 Tf -258.11 -20.135 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F59 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F75 11.9552 Tf -24.518 -22.128 Td [(Notes)]TJ 0 g 0 G -/F62 9.9626 Tf 12.454 -20.082 Td [(1.)]TJ +/F84 9.9626 Tf 12.454 -20.082 Td [(1.)]TJ 0 g 0 G - [-500(One)-309(of)-310(the)-309(optional)-310(ar)18(guments)]TJ/F67 9.9626 Tf 152.661 0 Td [(parts)]TJ/F62 9.9626 Tf 26.152 0 Td [(,)]TJ/F67 9.9626 Tf 5.723 0 Td [(vg)]TJ/F62 9.9626 Tf 10.46 0 Td [(,)]TJ/F67 9.9626 Tf 5.723 0 Td [(vl)]TJ/F62 9.9626 Tf 10.46 0 Td [(,)]TJ/F67 9.9626 Tf 5.723 0 Td [(nl)]TJ/F62 9.9626 Tf 13.544 0 Td [(or)]TJ/F67 9.9626 Tf 12.458 0 Td [(repl)]TJ/F62 9.9626 Tf 24.005 0 Td [(must)-310(be)-309(speci-)]TJ -254.456 -11.956 Td [(\002ed,)-250(ther)18(eby)-250(choosing)-250(the)-250(initialization)-250(strategy)-250(as)-250(follows:)]TJ + 0.98 0 0 1 124.802 218.327 Tm [(One)-236(of)-236(the)-235(optional)-236(ar)18(guments)]TJ/F131 9.9626 Tf 1 0 0 1 258.603 218.327 Tm [(parts)]TJ/F84 9.9626 Tf 0.98 0 0 1 284.754 218.327 Tm [(,)]TJ/F131 9.9626 Tf 1 0 0 1 289.535 218.327 Tm [(vg)]TJ/F84 9.9626 Tf 0.98 0 0 1 299.996 218.327 Tm [(,)]TJ/F131 9.9626 Tf 1 0 0 1 304.776 218.327 Tm [(vl)]TJ/F84 9.9626 Tf 0.98 0 0 1 315.237 218.327 Tm [(,)]TJ/F131 9.9626 Tf 1 0 0 1 320.017 218.327 Tm [(nl)]TJ/F84 9.9626 Tf 0.98 0 0 1 332.78 218.327 Tm [(or)]TJ/F131 9.9626 Tf 1 0 0 1 344.269 218.327 Tm [(repl)]TJ/F84 9.9626 Tf 0.98 0 0 1 367.492 218.327 Tm [(must)-236(be)-236(speci)1(\002ed,)]TJ 1 0 0 1 124.802 206.371 Tm [(ther)18(eby)-250(choosing)-250(the)-250(initialization)-250(strategy)-250(as)-250(follows:)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -20.135 Td [(parts)]TJ +/F75 9.9626 Tf 0 -20.135 Td [(parts)]TJ 0 g 0 G -/F62 9.9626 Tf 27.666 0 Td [(In)-242(this)-242(case)-242(we)-243(have)-242(a)-242(subr)18(outine)-242(specifying)-242(the)-242(mapping)-242(between)]TJ -5.748 -11.955 Td [(global)-312(indices)-312(and)-311(pr)18(ocess/local)-312(index)-312(pairs.)-496(If)-311(this)-312(optional)-312(ar)18(gu-)]TJ 0 -11.955 Td [(ment)-230(is)-230(speci\002ed,)-234(then)-230(it)-230(is)-230(mandatory)-230(to)-230(specify)-230(the)-230(ar)18(gument)]TJ/F67 9.9626 Tf 274.929 0 Td [(mg)]TJ/F62 9.9626 Tf 12.752 0 Td [(as)]TJ -287.681 -11.955 Td [(well.)-310(The)-250(subr)18(outine)-250(must)-250(conform)-250(to)-250(the)-250(following)-250(interface:)]TJ +/F84 9.9626 Tf 0.997 0 0 1 152.468 186.236 Tm [(In)-251(this)-251(case)-251(we)-251(have)-251(a)-251(subr)19(outine)-251(specifying)-251(the)-251(mapping)-251(between)]TJ 1.02 0 0 1 146.72 174.281 Tm [(global)-273(indices)-272(and)-273(pr)18(ocess/local)-273(index)-273(pairs.)-386(If)-273(this)-273(optional)-272(ar)17(gu-)]TJ 0.991 0 0 1 146.72 162.326 Tm [(ment)-252(is)-252(speci\002ed,)-252(then)-252(it)-253(is)-252(mandatory)-252(to)-252(specify)-252(the)-252(ar)18(gument)]TJ/F131 9.9626 Tf 1 0 0 1 421.534 162.326 Tm [(mg)]TJ/F84 9.9626 Tf 0.991 0 0 1 434.484 162.326 Tm [(as)]TJ 1 0 0 1 146.301 150.371 Tm [(well.)-310(The)-250(subr)18(outine)-250(must)-250(conform)-250(to)-250(the)-250(following)-250(interface:)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf 10.46 -18.09 Td [(interface)]TJ 15.691 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ +/F131 9.9626 Tf 10.879 -18.09 Td [(interface)]TJ 15.692 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ 0 g 0 G -/F62 9.9626 Tf 93.899 -29.888 Td [(71)]TJ +/F84 9.9626 Tf 93.898 -29.888 Td [(71)]TJ 0 g 0 G ET endstream endobj -1464 0 obj +1467 0 obj << -/Length 9985 +/Length 11640 >> stream 0 g 0 G 0 g 0 G BT -/F67 9.9626 Tf 234.142 706.129 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 -10.461 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/F62 9.9626 Tf -10.461 -17.586 Td [(The)-250(input)-250(ar)18(guments)-250(ar)18(e:)]TJ +/F131 9.9626 Tf 234.142 706.129 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 -10.461 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/F84 9.9626 Tf -10.77 -17.586 Td [(The)-250(input)-250(ar)18(guments)-250(ar)18(e:)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -15.594 Td [(glob)]TJ +/F75 9.9626 Tf 0.309 -15.594 Td [(glob)]TJ ET q 1 0 0 1 218.61 637.283 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 221.599 637.083 Td [(index)]TJ +/F75 9.9626 Tf 221.599 637.083 Td [(index)]TJ 0 g 0 G -/F62 9.9626 Tf 30.436 0 Td [(The)-250(global)-250(index)-250(to)-250(be)-250(mapped;)]TJ +/F84 9.9626 Tf 30.127 0 Td [(The)-250(global)-250(index)-250(to)-250(be)-250(mapped;)]TJ 0 g 0 G -/F59 9.9626 Tf -54.506 -13.774 Td [(np)]TJ +/F75 9.9626 Tf -54.197 -13.774 Td [(np)]TJ 0 g 0 G -/F62 9.9626 Tf 17.156 0 Td [(The)-250(number)-250(of)-250(pr)18(ocesses)-250(in)-250(the)-250(mapping;)]TJ +/F84 9.9626 Tf 16.847 0 Td [(The)-250(number)-250(of)-250(pr)18(ocesses)-250(in)-250(the)-250(mapping;)]TJ 0 g 0 G -/F59 9.9626 Tf -17.156 -13.774 Td [(mg)]TJ +/F75 9.9626 Tf -16.847 -13.774 Td [(mg)]TJ 0 g 0 G -/F62 9.9626 Tf 19.377 0 Td [(The)-250(total)-250(number)-250(of)-250(global)-250(r)18(ows)-250(in)-250(the)-250(mapping;)]TJ -19.377 -15.594 Td [(The)-250(output)-250(ar)18(guments)-250(ar)18(e:)]TJ +/F84 9.9626 Tf 19.069 0 Td [(The)-250(total)-250(number)-250(of)-250(global)-250(r)18(ows)-250(in)-250(the)-250(mapping;)]TJ -19.378 -15.594 Td [(The)-250(output)-250(ar)18(guments)-250(ar)18(e:)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -15.594 Td [(nv)]TJ +/F75 9.9626 Tf 0.309 -15.594 Td [(nv)]TJ 0 g 0 G -/F62 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F67 9.9626 Tf 111.052 0 Td [(pv)]TJ/F62 9.9626 Tf 10.461 0 Td [(;)]TJ +/F84 9.9626 Tf 16.299 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F131 9.9626 Tf 111.052 0 Td [(pv)]TJ/F84 9.9626 Tf 10.461 0 Td [(;)]TJ 0 g 0 G -/F59 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ +/F75 9.9626 Tf -137.812 -13.774 Td [(pv)]TJ 0 g 0 G -/F62 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F91 10.3811 Tf 270.063 0 Td [(\024)]TJ/F60 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F93 10.3811 Tf 10.461 0 Td [(\050)]TJ/F60 9.9626 Tf 4.204 0 Td [(i)]TJ/F93 10.3811 Tf 3.088 0 Td [(\051)]TJ/F69 10.3811 Tf 8.665 0 Td [(<)]TJ/F60 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F62 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F60 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F69 10.3811 Tf 15.409 0 Td [(>)]TJ/F62 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 213.748 564.573 Tm [(A)-342(vector)-342(containing)-342(the)-343(in)1(dices)-343(of)-342(the)-342(pr)18(ocesses)-342(to)-343(which)-342(the)]TJ 1.02 0 0 1 216.159 552.618 Tm [(global)-309(index)-310(should)-309(be)-310(assigend;)-341(each)-310(entry)-309(must)-310(satisfy)-309(0)]TJ/F179 10.3811 Tf 1 0 0 1 486.222 552.618 Tm [(\024)]TJ/F78 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F181 10.3811 Tf 10.461 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 3.088 0 Td [(\051)]TJ/F134 10.3811 Tf 8.297 0 Td [(<)]TJ/F78 9.9626 Tf 12.342 0 Td [(n)-80(p)]TJ/F84 9.9626 Tf 1.02 0 0 1 266.666 540.662 Tm [(;)-345(if)]TJ/F78 9.9626 Tf 1 0 0 1 282.348 540.662 Tm [(n)-25(v)]TJ/F134 10.3811 Tf 15.041 0 Td [(>)]TJ/F84 9.9626 Tf 1.02 0 0 1 309.606 540.662 Tm [(1)-312(we)-312(have)-311(an)-312(index)-312(assigned)-312(to)-312(multiple)]TJ 1 0 0 1 215.861 528.707 Tm [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ 0 g 0 G -/F59 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ +/F75 9.9626 Tf -40.25 -15.593 Td [(vg)]TJ 0 g 0 G -/F62 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F67 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F62 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F60 9.9626 Tf 58.923 0 Td [(i)]TJ/F91 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F62 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F60 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F91 10.3811 Tf 13.449 0 Td [(g)]TJ/F62 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F60 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F93 10.3811 Tf 10.68 0 Td [(\050)]TJ/F60 9.9626 Tf 4.204 0 Td [(i)]TJ/F93 10.3811 Tf 3.089 0 Td [(\051)]TJ/F62 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F67 9.9626 Tf 61.203 0 Td [(vg)]TJ/F62 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F93 10.3811 Tf 226.209 0 Td [(\050)]TJ/F62 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F60 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F91 10.3811 Tf 13.888 0 Td [(\000)]TJ/F62 9.9626 Tf 10.515 0 Td [(1)]TJ/F93 10.3811 Tf 5.106 0 Td [(\051)]TJ/F62 9.9626 Tf 7.678 0 Td [(or)]TJ/F93 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F62 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F60 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F93 10.3811 Tf 11.566 0 Td [(\051)]TJ/F62 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F67 9.9626 Tf 113.068 0 Td [(flag)]TJ/F62 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F60 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F62 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F67 9.9626 Tf 144.092 0 Td [(mg)]TJ/F62 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F67 9.9626 Tf 29.937 0 Td [(vg)]TJ/F62 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F67 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F62 9.9626 Tf 57.534 0 Td [(.)]TJ +/F84 9.9626 Tf 0.98 0 0 1 191.671 513.114 Tm [(In)-244(this)-244(case)-244(the)-244(association)-244(between)-244(an)-244(index)-244(and)-244(a)-245(pr)19(ocess)-244(is)-244(speci\002ed)]TJ 0.986 0 0 1 197.25 501.158 Tm [(via)-254(an)-254(integer)-253(vector)]TJ/F131 9.9626 Tf 1 0 0 1 288.765 501.158 Tm [(vg\0501:mg\051)]TJ/F84 9.9626 Tf 0.986 0 0 1 330.608 501.158 Tm [(;)-254(each)-254(index)]TJ/F78 9.9626 Tf 1 0 0 1 384.647 501.158 Tm [(i)]TJ/F179 10.3811 Tf 5.861 0 Td [(2)-290(f)]TJ/F84 9.9626 Tf 0.986 0 0 1 405.758 501.158 Tm [(1)]TJ 1 0 0 1 412.455 501.158 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(m)-47(g)]TJ/F179 10.3811 Tf 13.45 0 Td [(g)]TJ/F84 9.9626 Tf 0.986 0 0 1 446.913 501.158 Tm [(is)-254(assigned)]TJ 1.02 0 0 1 197.529 489.203 Tm [(to)-260(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 245.285 489.203 Tm [(v)-47(g)]TJ/F181 10.3811 Tf 10.68 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 3.089 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 267.407 489.203 Tm [(.)-349(The)-260(vector)]TJ/F131 9.9626 Tf 1 0 0 1 323.78 489.203 Tm [(vg)]TJ/F84 9.9626 Tf 1.02 0 0 1 336.883 489.203 Tm [(must)-260(be)-260(identical)-260(on)-260(all)-260(calling)-260(pr)18(o-)]TJ 1.02 0 0 1 197.529 477.248 Tm [(cesses;)-427(its)-366(entries)-366(may)-367(have)-366(the)-366(ranges)]TJ/F181 10.3811 Tf 1 0 0 1 380.093 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 384.242 477.248 Tm [(0)]TJ 1 0 0 1 391.108 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)-80(p)]TJ/F179 10.3811 Tf 13.96 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 428.856 477.248 Tm [(1)]TJ/F181 10.3811 Tf 1 0 0 1 434.061 477.248 Tm [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 441.932 477.248 Tm [(or)]TJ/F181 10.3811 Tf 1 0 0 1 455.341 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 459.491 477.248 Tm [(1)]TJ 1 0 0 1 466.356 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(n)-80(p)]TJ/F181 10.3811 Tf 11.566 0 Td [(\051)]TJ/F84 9.9626 Tf 0.993 0 0 1 197.529 465.293 Tm [(accor)18(ding)-252(to)-253(the)-252(value)-252(of)]TJ/F131 9.9626 Tf 1 0 0 1 308.219 465.293 Tm [(flag)]TJ/F84 9.9626 Tf 0.993 0 0 1 329.141 465.293 Tm [(.)-314(The)-253(size)]TJ/F78 9.9626 Tf 1 0 0 1 373.16 465.293 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 0.993 0 0 1 388.982 465.293 Tm [(may)-252(be)-253(speci\002ed)-252(via)-253(the)]TJ 0.999 0 0 1 197.529 453.338 Tm [(optional)-250(ar)18(gument)]TJ/F131 9.9626 Tf 1 0 0 1 282.025 453.338 Tm [(mg)]TJ/F84 9.9626 Tf 0.999 0 0 1 292.485 453.338 Tm [(;)-251(the)-250(default)-250(is)-251(to)-250(use)-251(the)-250(entir)18(e)-250(vector)]TJ/F131 9.9626 Tf 1 0 0 1 459.716 453.338 Tm [(vg)]TJ/F84 9.9626 Tf 0.999 0 0 1 470.177 453.338 Tm [(,)-250(thus)]TJ 1 0 0 1 197.529 441.383 Tm [(having)]TJ/F131 9.9626 Tf 33.136 0 Td [(mg=size\050vg\051)]TJ/F84 9.9626 Tf 57.533 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ +/F75 9.9626 Tf -112.587 -15.594 Td [(vl)]TJ 0 g 0 G -/F62 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F67 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F62 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F60 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F62 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F67 9.9626 Tf 259.368 0 Td [(vl)]TJ/F62 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F67 9.9626 Tf 88.319 0 Td [(nl)]TJ/F62 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F67 9.9626 Tf 185.156 0 Td [(vl)]TJ/F62 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F67 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F62 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F67 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F62 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F93 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F62 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F60 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F93 10.3811 Tf 13.449 0 Td [(\051)]TJ/F62 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F67 9.9626 Tf 122.836 0 Td [(vl)]TJ/F62 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F67 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F62 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 189.449 425.789 Tm [(In)-336(this)-335(case)-336(we)-335(ar)17(e)-335(specifying)-336(the)-335(list)-336(of)-335(indices)]TJ/F131 9.9626 Tf 1 0 0 1 409.868 425.789 Tm [(vl\0501:nl\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 455.12 425.789 Tm [(assigned)]TJ 1.018 0 0 1 197.529 413.834 Tm [(to)-245(the)-246(curr)18(ent)-245(pr)17(ocess;)-245(thus,)-246(the)-245(global)-245(pr)17(oblem)-245(size)]TJ/F78 9.9626 Tf 1 0 0 1 430.434 413.834 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 1.018 0 0 1 446.248 413.834 Tm [(is)-245(given)-246(by)]TJ 1.02 0 0 1 197.529 401.878 Tm [(the)-255(range)-255(of)-255(the)-255(aggr)18(egate)-255(of)-255(the)-255(individual)-255(vectors)]TJ/F131 9.9626 Tf 1 0 0 1 429.927 401.878 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 442.978 401.878 Tm [(speci\002ed)-255(in)]TJ 1.02 0 0 1 197.529 389.923 Tm [(the)-347(call)1(ing)-347(pr)18(ocesses.)-608(The)-347(size)-346(may)-347(be)-346(speci\002ed)-347(via)-346(the)-347(optional)]TJ 1.02 0 0 1 197.529 377.968 Tm [(ar)18(gument)]TJ/F131 9.9626 Tf 1 0 0 1 243.859 377.968 Tm [(nl)]TJ/F84 9.9626 Tf 1.02 0 0 1 254.32 377.968 Tm [(;)-257(the)-253(default)-253(is)-252(to)-253(use)-253(the)-253(entir)18(e)-253(vector)]TJ/F131 9.9626 Tf 1 0 0 1 425.335 377.968 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 435.795 377.968 Tm [(,)-255(thus)-253(having)]TJ/F131 9.9626 Tf 1 0 0 1 197.529 366.013 Tm [(nl=size\050vl\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 255.063 366.013 Tm [(.)-306(If)]TJ/F131 9.9626 Tf 1 0 0 1 269.222 366.013 Tm [(globalcheck=.true.)]TJ/F84 9.9626 Tf 0.98 0 0 1 365.556 366.013 Tm [(the)-224(subr)18(outine)-224(will)-224(check)-224(how)]TJ 0.98 0 0 1 197.529 354.058 Tm [(many)-209(t)1(imes)-209(each)-208(entry)-209(in)-208(the)-209(global)-208(index)-209(space)]TJ/F181 10.3811 Tf 1 0 0 1 403.34 354.058 Tm [(\050)]TJ/F84 9.9626 Tf 0.98 0 0 1 407.49 354.058 Tm [(1)]TJ 1 0 0 1 414.156 354.058 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(m)-47(g)]TJ/F181 10.3811 Tf 13.449 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 446.991 354.058 Tm [(is)-208(speci\002ed)]TJ 0.999 0 0 1 197.529 342.103 Tm [(in)-249(the)-250(input)-249(lists)]TJ/F131 9.9626 Tf 1 0 0 1 271.343 342.103 Tm [(vl)]TJ/F84 9.9626 Tf 0.999 0 0 1 281.803 342.103 Tm [(,)-250(thus)-249(allowing)-249(for)-250(the)-249(pr)18(esence)-249(of)-250(overlap)-249(in)-249(the)]TJ 1.005 0 0 1 197.529 330.147 Tm [(input,)-248(and)-249(checking)-248(for)-249(\223orphan\224)-248(indices.)-308(If)]TJ/F131 9.9626 Tf 1 0 0 1 393.782 330.147 Tm [(globalcheck=.false.)]TJ/F84 9.9626 Tf 1.005 0 0 1 493.158 330.147 Tm [(,)]TJ 1.018 0 0 1 197.529 318.192 Tm [(the)-246(subr)18(outine)-247(will)-246(not)-246(check)-246(for)-246(overlap,)-246(and)-246(may)-246(be)-247(signi\002cantly)]TJ 1.02 0 0 1 197.529 306.237 Tm [(faster)73(,)-256(but)-253(the)-253(user)-253(is)-254(implicitly)-253(guaranteeing)-253(that)-253(ther)17(e)-253(ar)18(e)-253(neither)]TJ 1 0 0 1 197.529 294.282 Tm [(orphan)-250(nor)-250(overlap)-250(indices.)]TJ 0 g 0 G -/F59 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ +/F75 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ 0 g 0 G -/F62 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F67 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F62 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F67 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F62 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F67 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F62 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F67 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F62 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F67 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F62 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F67 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F62 9.9626 Tf 50.355 0 Td [(and)]TJ/F67 9.9626 Tf 20.148 0 Td [(local)]TJ/F62 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F67 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F62 9.9626 Tf 49.564 0 Td [(and)]TJ/F67 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F62 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 197.987 278.688 Tm [(The)-326(optional)-325(ar)18(gument)]TJ/F131 9.9626 Tf 1 0 0 1 306.11 278.688 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 330.339 278.688 Tm [(is)-326(available)-325(for)-326(those)-325(cases)-326(in)-325(which)]TJ 1.02 0 0 1 197.529 266.733 Tm [(the)-305(user)-305(has)-305(alr)17(eady)-305(established)-305(a)-305(global-to-local)-305(mapping;)-335(if)-305(it)-305(is)]TJ 1.001 0 0 1 197.529 254.778 Tm [(speci\002ed,)-250(each)-250(index)-250(in)]TJ/F131 9.9626 Tf 1 0 0 1 302.65 254.778 Tm [(vl\050i\051)]TJ/F84 9.9626 Tf 1.001 0 0 1 331.295 254.778 Tm [(will)-250(be)-250(mapped)-250(to)-250(the)-250(corr)18(esponding)]TJ 1.02 0 0 1 197.529 242.823 Tm [(local)-275(index)]TJ/F131 9.9626 Tf 1 0 0 1 249.36 242.823 Tm [(lidx\050i\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 285.973 242.823 Tm [(.)-393(When)-275(specifying)-275(the)-274(ar)17(gument)]TJ/F131 9.9626 Tf 1 0 0 1 434.697 242.823 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 458.411 242.823 Tm [(the)-275(user)]TJ 1.02 0 0 1 197.111 230.868 Tm [(would)-297(also)-297(likely)-296(employ)]TJ/F131 9.9626 Tf 1 0 0 1 315.53 230.868 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 339.468 230.868 Tm [(in)-297(calls)-297(to)]TJ/F131 9.9626 Tf 1 0 0 1 386.066 230.868 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 1.02 0 0 1 436.156 230.868 Tm [(and)]TJ/F131 9.9626 Tf 1 0 0 1 456.376 230.868 Tm [(local)]TJ/F84 9.9626 Tf 1.02 0 0 1 485.545 230.868 Tm [(in)]TJ 1 0 0 1 197.529 218.912 Tm [(calls)-250(to)]TJ/F131 9.9626 Tf 33.096 0 Td [(psb_spins)]TJ/F84 9.9626 Tf 49.563 0 Td [(and)]TJ/F131 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ 0 0 1 rg 0 0 1 RG [-250(2.3.1)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ +/F75 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ 0 g 0 G -/F62 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F67 9.9626 Tf 223.432 0 Td [(vl)]TJ/F62 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F60 9.9626 Tf 257.148 0 Td [(I)]TJ/F62 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F60 9.9626 Tf 135.186 0 Td [(N)]TJ/F60 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F93 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F60 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F62 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ +/F84 9.9626 Tf 0.98 0 0 1 189.997 203.319 Tm [(If)-247(this)-248(ar)19(gument)-247(is)-248(speci\002ed)-247(alone)-247(\050i.e.)-314(without)]TJ/F131 9.9626 Tf 1 0 0 1 393.086 203.319 Tm [(vl)]TJ/F84 9.9626 Tf 0.98 0 0 1 403.547 203.319 Tm [(\051)-247(the)-247(r)18(esult)-247(is)-248(a)-247(gener)18(-)]TJ 0.98 0 0 1 197.529 191.364 Tm [(alized)-250(r)18(ow-block)-250(distribution)-250(in)-250(which)-251(each)-250(pr)19(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 423.173 191.364 Tm [(I)]TJ/F84 9.9626 Tf 0.98 0 0 1 429.466 191.364 Tm [(gets)-250(assigned)-250(a)]TJ 1 0 0 1 197.529 179.408 Tm [(consecutive)-250(chunk)-250(of)]TJ/F78 9.9626 Tf 95.904 0 Td [(N)]TJ/F78 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F181 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F84 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ 0 g 0 G -/F59 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ +/F75 9.9626 Tf -154.547 -15.593 Td [(repl)]TJ 0 g 0 G -/F62 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ +/F84 9.9626 Tf 0.98 0 0 1 198.545 163.815 Tm [(This)-242(ar)19(guments)-242(speci\002es)-241(to)-242(r)18(eplicate)-241(all)-242(indices)-242(on)-241(all)-242(pr)19(ocesses.)-312(This)]TJ 0.998 0 0 1 197.529 151.86 Tm [(is)-252(a)-251(special)-252(purpose)-252(data)-252(allocation)-251(that)-252(is)-252(useful)-251(in)-252(the)-252(constr)8(uction)]TJ 1 0 0 1 197.529 139.904 Tm [(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ 0 g 0 G - -34.371 -19.579 Td [(2.)]TJ + -34.371 -19.578 Td [(2.)]TJ 0 g 0 G 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[(in)-194(conjunction)-194(with)]TJ/F131 9.9626 Tf 1 0 0 1 380.959 610.488 Tm [(globalcheck=.false.)]TJ/F84 9.9626 Tf 0.98 0 0 1 480.336 610.488 Tm [(,)]TJ 1.02 0 0 1 124.802 598.532 Tm [(no)-295(index)-295(space)-295(scan)-295(will)-296(take)-295(place.)-454(Thus)-295(it)-295(is)-295(the)-295(r)18(esponsibility)-296(of)-295(the)]TJ 1.02 0 0 1 124.802 586.577 Tm [(user)-277(to)-278(make)-277(sur)17(e)-277(that)-277(the)-278(indices)-277(speci\002ed)-278(in)]TJ/F131 9.9626 Tf 1 0 0 1 334.35 586.577 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 347.63 586.577 Tm [(have)-277(neither)-278(orphans)]TJ 1 0 0 1 124.802 574.622 Tm [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ 0 g 0 G -12.453 -19.925 Td [(7.)]TJ 0 g 0 G - [-500(Orphan)-417(and)-416(overlap)-417(indices)-416(ar)18(e)-417(impossible)-416(by)-417(constr)8(uction)-417(when)-416(the)]TJ 12.453 -11.955 Td [(subr)18(outine)-250(is)-250(invoked)-250(with)]TJ/F67 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[(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ @@ -18140,63 +18133,63 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 123.397 535.733 Td [(out)]TJ +/F75 9.9626 Tf 123.397 535.733 Td [(out)]TJ 0 g 0 G -/F62 9.9626 Tf 19.925 0 Td [(the)-250(communication)-250(descriptor)-250(copy)111(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.343 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 19.925 0 Td [(the)-250(communication)-250(descriptor)-250(copy)111(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 488.112 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 312.397 487.912 Td [(desc)]TJ +/F131 9.9626 Tf 312.397 487.912 Td [(desc)]TJ ET q 1 0 0 1 333.945 488.112 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 337.084 487.912 Td [(type)]TJ +/F131 9.9626 Tf 337.084 487.912 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -19.925 Td [(info)]TJ +/F75 9.9626 Tf -258.11 -19.925 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -329.728 Td [(77)]TJ + 142.357 -329.728 Td [(77)]TJ 0 g 0 G ET endstream endobj -1508 0 obj +1511 0 obj << -/Length 2167 +/Length 2173 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(6.5)-1000(psb)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(6.5)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 201.825 706.129 Td [(cdfree)-250(\227)-250(Frees)-250(a)-250(communication)-250(descriptor)]TJ +/F75 11.9552 Tf 201.825 706.129 Td [(cdfree)-250(\227)-250(Frees)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ +/F131 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ @@ -18206,110 +18199,110 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 625.397 Td [(a)]TJ +/F75 9.9626 Tf 174.207 625.397 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)-250(to)-250(be)-250(fr)18(eed.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.344 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)-250(to)-250(be)-250(fr)18(eed.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 23.999 0 Td [(required)]TJ/F84 9.9626 Tf 39.293 0 Td [(.)]TJ -62.984 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 363.206 577.576 Td [(desc)]TJ +/F131 9.9626 Tf 363.206 577.576 Td [(desc)]TJ ET q 1 0 0 1 384.755 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 387.893 577.576 Td [(type)]TJ +/F131 9.9626 Tf 387.893 577.576 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F84 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 141.968 -397.474 Td [(78)]TJ + 142.356 -397.474 Td [(78)]TJ 0 g 0 G ET endstream endobj -1514 0 obj +1517 0 obj << -/Length 5710 +/Length 5921 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 99.895 706.129 Td [(6.6)-1000(psb)]TJ +/F75 11.9552 Tf 99.895 706.129 Td [(6.6)]TJ 0.984 0 0 1 126.795 706.129 Tm [(psb)]TJ ET q -1 0 0 1 147.429 706.328 cm +1 0 0 1 147.11 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 151.016 706.129 Td [(cdbldext)-190(\227)-190(Build)-190(an)-190(extended)-190(communication)-190(descrip-)]TJ -24.221 -13.948 Td [(tor)]TJ +/F75 11.9552 Tf 0.984 0 0 1 150.697 706.129 Tm [(cdbldext)-253(\227)-253(Build)-253(an)-253(extended)-253(communication)-253(descrip-)]TJ 1 0 0 1 126.795 692.181 Tm [(tor)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -26.9 -19.693 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F62 9.9626 Tf 14.944 -23.422 Td [(This)-379(subr)18(outine)-379(builds)-379(an)-379(extended)-379(communication)-379(descriptor)74(,)-411(based)-379(on)]TJ -14.944 -11.955 Td [(the)-428(input)-428(descriptor)]TJ/F67 9.9626 Tf 95.499 0 Td [(desc_a)]TJ/F62 9.9626 Tf 35.646 0 Td [(and)-428(on)-428(the)-428(stencil)-428(speci\002ed)-428(thr)18(ough)-428(the)-427(input)]TJ -131.145 -11.955 Td [(sparse)-250(matrix)]TJ/F67 9.9626 Tf 62.107 0 Td [(a)]TJ/F62 9.9626 Tf 5.23 0 Td [(.)]TJ +/F131 9.9626 Tf -26.9 -19.693 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F84 9.9626 Tf 0.982 0 0 1 114.839 649.066 Tm [(This)-254(subr)19(outine)-254(builds)-254(an)-254(extended)-253(communication)-254(descriptor)75(,)-254(based)-253(on)-254(the)]TJ 1.019 0 0 1 99.895 637.111 Tm [(input)-244(descriptor)]TJ/F131 9.9626 Tf 1 0 0 1 175.054 637.111 Tm [(desc_a)]TJ/F84 9.9626 Tf 1.019 0 0 1 208.915 637.111 Tm [(and)-244(on)-244(the)-245(stencil)-244(speci\002ed)-244(thr)18(ough)-245(the)-244(input)-244(sparse)]TJ 1 0 0 1 99.895 625.156 Tm [(matrix)]TJ/F131 9.9626 Tf 31.492 0 Td [(a)]TJ/F84 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -67.337 -21.054 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf -36.722 -21.054 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -21.429 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -21.429 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -21.43 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)-250(Scope:)]TJ/F59 9.9626 Tf 100.691 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -107.326 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(type.)]TJ +/F84 9.9626 Tf 9.574 0 Td [(A)-250(sparse)-250(matrix)-250(Scope:)]TJ/F75 9.9626 Tf 100.692 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -107.247 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(type.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -21.429 Td [(desc)]TJ +/F75 9.9626 Tf -24.907 -21.429 Td [(desc)]TJ ET q 1 0 0 1 120.408 504.147 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 123.397 503.948 Td [(a)]TJ +/F75 9.9626 Tf 123.397 503.948 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 28.343 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 456.326 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 312.397 456.127 Td [(Tspmat)]TJ +/F131 9.9626 Tf 312.397 456.127 Td [(Tspmat)]TJ ET q 1 0 0 1 344.406 456.326 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 347.544 456.127 Td [(type)]TJ +/F131 9.9626 Tf 347.544 456.127 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -268.571 -21.43 Td [(nl)]TJ +/F75 9.9626 Tf -268.571 -21.43 Td [(nl)]TJ 0 g 0 G -/F62 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.343 0 Td [(global)]TJ/F62 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)]TJ/F60 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F91 10.3811 Tf 11.873 0 Td [(\025)]TJ/F62 9.9626 Tf 10.961 0 Td [(0.)]TJ +/F84 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(global)]TJ/F84 9.9626 Tf 28.782 0 Td [(.)]TJ -57.434 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)]TJ/F78 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F179 10.3811 Tf 11.873 0 Td [(\025)]TJ/F84 9.9626 Tf 10.961 0 Td [(0.)]TJ 0 g 0 G -/F59 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ +/F75 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ 0 g 0 G -/F62 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.962 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.343 0 Td [(global)]TJ/F62 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(optional)]TJ/F62 9.9626 Tf 40.677 0 Td [(.)]TJ -64.677 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-345(as:)-501(an)-345(integer)-346(value)]TJ/F67 9.9626 Tf 136.676 0 Td [(psb_ovt_xhal_)]TJ/F62 9.9626 Tf 67.994 0 Td [(,)]TJ/F67 9.9626 Tf 6.169 0 Td [(psb_ovt_asov_)]TJ/F62 9.9626 Tf 67.994 0 Td [(,)-369(default:)]TJ/F67 9.9626 Tf -278.833 -11.955 Td [(psb_ovt_xhal_)]TJ +/F84 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.962 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(global)]TJ/F84 9.9626 Tf 28.782 0 Td [(.)]TJ -57.434 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(optional)]TJ/F84 9.9626 Tf 40.677 0 Td [(.)]TJ -64.368 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ 1.02 0 0 1 124.802 317.626 Tm [(Speci\002ed)-317(as:)-447(an)-316(integer)-317(value)]TJ/F131 9.9626 Tf 1 0 0 1 262.503 317.626 Tm [(psb_ovt_xhal_)]TJ/F84 9.9626 Tf 1.02 0 0 1 330.497 317.626 Tm [(,)]TJ/F131 9.9626 Tf 1 0 0 1 336.438 317.626 Tm [(psb_ovt_asov_)]TJ/F84 9.9626 Tf 1.02 0 0 1 404.432 317.626 Tm [(,)-335(default:)]TJ/F131 9.9626 Tf 1 0 0 1 124.802 305.671 Tm [(psb_ovt_xhal_)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -23.422 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -24.907 -23.422 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.43 Td [(desc)]TJ @@ -18319,54 +18312,54 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 123.397 260.819 Td [(out)]TJ +/F75 9.9626 Tf 123.397 260.819 Td [(out)]TJ 0 g 0 G -/F62 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.343 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(inout)]TJ/F62 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 213.198 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 312.397 212.998 Td [(desc)]TJ +/F131 9.9626 Tf 312.397 212.998 Td [(desc)]TJ ET q 1 0 0 1 333.945 213.198 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 337.084 212.998 Td [(type)]TJ +/F131 9.9626 Tf 337.084 212.998 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -21.429 Td [(info)]TJ +/F75 9.9626 Tf -258.11 -21.429 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F59 11.9552 Tf -24.907 -23.422 Td [(Notes)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F75 11.9552 Tf -24.518 -23.422 Td [(Notes)]TJ 0 g 0 G -/F62 9.9626 Tf 166.875 -29.888 Td [(79)]TJ +/F84 9.9626 Tf 166.875 -29.888 Td [(79)]TJ 0 g 0 G ET endstream endobj -1519 0 obj +1522 0 obj << -/Length 1484 +/Length 1751 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F62 9.9626 Tf 163.158 706.129 Td [(1.)]TJ +/F84 9.9626 Tf 163.158 706.129 Td [(1.)]TJ 0 g 0 G - [-500(Specifying)]TJ/F67 9.9626 Tf 61.745 0 Td [(psb_ovt_xhal_)]TJ/F62 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F67 9.9626 Tf 32.282 0 Td [(extype)]TJ/F62 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-400(descriptor)-400(for)-400(a)-400(domain)-400(partition)-400(in)-400(which)-400(the)-400(additional)-400(layers)-400(ar)18(e)]TJ 0 -11.955 Td [(fetched)-222(as)-221(part)-222(of)-221(an)-222(\050extended\051)-221(halo;)-232(however)-221(the)-222(index-to-pr)18(ocess)-221(map-)]TJ 0 -11.956 Td [(ping)-250(is)-250(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ + 0.98 0 0 1 175.611 706.129 Tm [(Specifying)]TJ/F131 9.9626 Tf 1 0 0 1 223.585 706.129 Tm [(psb_ovt_xhal_)]TJ/F84 9.9626 Tf 0.98 0 0 1 294.077 706.129 Tm [(for)-256(the)]TJ/F131 9.9626 Tf 1 0 0 1 325.05 706.129 Tm [(extype)]TJ/F84 9.9626 Tf 0.98 0 0 1 358.929 706.129 Tm [(ar)18(gument)-255(the)-256(user)-256(will)-255(obtain)-256(a)]TJ 0.98 0 0 1 175.611 694.174 Tm [(descriptor)-209(for)-209(a)-209(domain)-209(partition)-209(in)-209(which)-209(the)-209(additional)-209(layers)-210(ar)19(e)-209(fetched)]TJ 1.02 0 0 1 175.611 682.219 Tm [(as)-244(part)-244(of)-244(an)-244(\050extended\051)-244(halo;)-244(however)-244(the)-244(index-to-pr)18(ocess)-244(mapping)-244(is)]TJ 1 0 0 1 175.611 670.263 Tm [(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ 0 g 0 G -12.453 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(Specifying)]TJ/F67 9.9626 Tf 61.745 0 Td [(psb_ovt_asov_)]TJ/F62 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F67 9.9626 Tf 32.282 0 Td [(extype)]TJ/F62 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-330(descriptor)-331(with)-330(an)-330(overlapped)-331(decomposition:)-470(the)-331(additional)-330(layer)-330(is)]TJ 0 -11.955 Td [(aggr)18(egated)-326(to)-326(the)-326(local)-326(subdomain)-326(\050and)-326(thus)-326(is)-325(an)-326(overlap\051,)-345(and)-326(a)-326(new)]TJ 0 -11.955 Td [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ + 1.018 0 0 1 175.611 650.338 Tm [(Specifying)]TJ/F131 9.9626 Tf 1 0 0 1 225.351 650.338 Tm [(psb_ovt_asov_)]TJ/F84 9.9626 Tf 1.018 0 0 1 295.844 650.338 Tm [(for)-246(the)]TJ/F131 9.9626 Tf 1 0 0 1 327.83 650.338 Tm [(extype)]TJ/F84 9.9626 Tf 1.018 0 0 1 361.711 650.338 Tm [(ar)18(gument)-247(the)-246(user)-246(will)-247(obtain)]TJ 1.02 0 0 1 175.611 638.383 Tm [(a)-267(descriptor)-267(with)-268(an)-267(overlapped)-267(decomposition:)-348(the)-267(additional)-268(lay)1(er)-268(is)]TJ 1.02 0 0 1 175.611 626.428 Tm [(aggr)18(egated)-278(to)-278(the)-278(local)-278(subdomain)-278(\050and)-278(thus)-278(is)-278(an)-278(overlap\051,)-286(and)-278(a)-278(new)]TJ 1 0 0 1 175.611 614.473 Tm [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ 0 g 0 G 141.968 -524.035 Td [(80)]TJ 0 g 0 G @@ -18374,31 +18367,31 @@ ET endstream endobj -1527 0 obj +1530 0 obj << -/Length 5699 +/Length 5941 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 99.895 706.129 Td [(6.7)-1000(psb)]TJ +/F75 11.9552 Tf 99.895 706.129 Td [(6.7)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ +/F75 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -51.121 -19.277 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info)-525([,)-525(nnz,)-525(dupl,)-525(bldmode]\051)]TJ +/F131 9.9626 Tf -51.121 -19.277 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info)-525([,)-525(nnz,)-525(dupl,)-525(bldmode]\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -22.403 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -22.403 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -20.571 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -20.571 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.572 Td [(desc)]TJ @@ -18408,70 +18401,70 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 123.397 623.306 Td [(a)]TJ +/F75 9.9626 Tf 123.397 623.306 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.343 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 575.684 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 312.397 575.485 Td [(desc)]TJ +/F131 9.9626 Tf 312.397 575.485 Td [(desc)]TJ ET q 1 0 0 1 333.945 575.684 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 337.084 575.485 Td [(type)]TJ +/F131 9.9626 Tf 337.084 575.485 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -20.572 Td [(nnz)]TJ +/F75 9.9626 Tf -258.11 -20.572 Td [(nnz)]TJ 0 g 0 G -/F62 9.9626 Tf 22.137 0 Td [(An)-230(estimate)-230(of)-230(the)-230(number)-230(of)-231(nonzer)18(oes)-230(in)-230(the)-230(local)-230(part)-230(of)-230(the)-230(assembled)]TJ 2.77 -11.955 Td [(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ +/F84 9.9626 Tf 0.992 0 0 1 121.644 554.913 Tm [(An)-253(estimate)-253(of)-253(the)-254(number)-253(of)-253(nonzer)18(oes)-253(in)-253(the)-253(local)-253(part)-253(of)-254(the)-253(assembled)]TJ 1 0 0 1 124.802 542.958 Tm [(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf 28.782 0 Td [(.)]TJ -60.523 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(.)]TJ -64.966 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -20.572 Td [(dupl)]TJ +/F75 9.9626 Tf -24.907 -20.572 Td [(dupl)]TJ 0 g 0 G -/F62 9.9626 Tf 26.561 0 Td 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[(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(.)]TJ -64.966 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ 1.006 0 0 1 124.802 426.745 Tm [(Speci\002ed)-248(as:)-308(inte)1(ger)73(,)-248(possible)-248(values:)]TJ/F131 9.9626 Tf 1 0 0 1 290.906 426.745 Tm [(psb_dupl_ovwrt_)]TJ/F84 9.9626 Tf 1.006 0 0 1 369.361 426.745 Tm [(,)]TJ/F131 9.9626 Tf 1 0 0 1 374.352 426.745 Tm [(psb_dupl_add_)]TJ/F84 9.9626 Tf 1.006 0 0 1 442.346 426.745 Tm [(,)]TJ/F131 9.9626 Tf 1 0 0 1 124.802 414.79 Tm [(psb_dupl_err_)]TJ/F84 9.9626 Tf 67.994 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -92.901 -20.572 Td [(bldmode)]TJ +/F75 9.9626 Tf -92.901 -20.572 Td [(bldmode)]TJ 0 g 0 G -/F62 9.9626 Tf 45.938 0 Td [(Whether)-372(to)-372(kee)1(p)-372(track)-372(of)-372(matrix)-372(entries)-371(that)-372(do)-372(not)-372(belong)-371(to)-372(the)]TJ -21.031 -11.955 Td [(curr)18(ent)-250(pr)18(ocess.)]TJ 0 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf 28.782 0 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[(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F60 9.9626 Tf 160.8 0 Td [(n)-25(z)]TJ/F62 9.9626 Tf 10.336 0 Td [(.)]TJ +/F84 9.9626 Tf 13.28 0 Td [(the)-250(column)-250(indices)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F78 9.9626 Tf 160.8 0 Td [(n)-25(z)]TJ/F84 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -196.043 -22.835 Td [(val)]TJ +/F75 9.9626 Tf -196.043 -22.835 Td [(val)]TJ 0 g 0 G -/F62 9.9626 Tf 18.82 0 Td [(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 6.087 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.343 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-315(as:)-439(an)-314(array)-315(of)-315(size)]TJ/F60 9.9626 Tf 131.853 0 Td [(n)-25(z)]TJ/F62 9.9626 Tf 10.337 0 Td [(.)-504(Must)-314(be)-315(of)-315(the)-314(same)-315(type)-315(and)-314(kind)-315(of)]TJ -142.19 -11.956 Td [(the)-250(coef)18(\002cients)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F60 9.9626 Tf 157.901 0 Td [(a)]TJ/F62 9.9626 Tf 4.548 0 Td [(.)]TJ +/F84 9.9626 Tf 18.82 0 Td [(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 6.087 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ 0.983 0 0 1 124.802 132.281 Tm [(Speci\002ed)-254(as:)-315(an)-253(array)-254(of)-254(size)]TJ/F78 9.9626 Tf 1 0 0 1 250.215 132.281 Tm [(n)-25(z)]TJ/F84 9.9626 Tf 0.983 0 0 1 260.551 132.281 Tm [(.)-315(Must)-254(be)-253(of)-254(the)-254(same)-253(type)-254(and)-254(kind)-253(of)-254(the)]TJ 1 0 0 1 124.802 120.326 Tm [(coef)18(\002cients)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F78 9.9626 Tf 141.592 0 Td [(a)]TJ/F84 9.9626 Tf 4.548 0 Td [(.)]TJ 0 g 0 G - -20.481 -29.887 Td [(83)]TJ + -4.172 -29.888 Td [(83)]TJ 0 g 0 G ET endstream endobj -1546 0 obj +1549 0 obj << -/Length 6861 +/Length 7399 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F59 9.9626 Tf 150.705 706.129 Td [(desc)]TJ +/F75 9.9626 Tf 150.705 706.129 Td [(desc)]TJ ET q 1 0 0 1 171.218 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 706.129 Td [(a)]TJ +/F75 9.9626 Tf 174.207 706.129 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -66.381 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.653 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.249 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -53.319 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -66.072 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 136.328 0 Td [(psb)]TJ +/F131 9.9626 Tf 136.328 0 Td [(psb)]TJ ET q 1 0 0 1 328.257 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 331.395 658.308 Td [(desc)]TJ +/F131 9.9626 Tf 331.395 658.308 Td [(desc)]TJ ET q 1 0 0 1 352.944 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 356.083 658.308 Td [(type)]TJ +/F131 9.9626 Tf 356.083 658.308 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -226.299 -33.398 Td [(local)]TJ +/F75 9.9626 Tf -226.299 -33.398 Td [(local)]TJ 0 g 0 G -/F62 9.9626 Tf 26.56 0 Td [(Whether)-207(the)-207(entries)-207(in)-207(the)-208(indices)-207(vectors)]TJ/F67 9.9626 Tf 181.487 0 Td [(ia)]TJ/F62 9.9626 Tf 10.46 0 Td [(,)]TJ/F67 9.9626 Tf 4.64 0 Td [(ja)]TJ/F62 9.9626 Tf 12.524 0 Td [(ar)18(e)-207(alr)18(eady)-207(in)-207(local)-208(num-)]TJ -210.765 -11.956 Td [(bering.)]TJ 0 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.344 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(optional)]TJ/F62 9.9626 Tf 38.187 0 Td [(.)]TJ -62.187 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F67 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F62 9.9626 Tf 36.613 0 Td [(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 176.767 624.91 Tm [(Whether)-378(the)-378(entries)-378(in)-377(the)-378(indices)-378(vectors)]TJ/F131 9.9626 Tf 1 0 0 1 374.028 624.91 Tm [(ia)]TJ/F84 9.9626 Tf 1.02 0 0 1 384.489 624.91 Tm [(,)]TJ/F131 9.9626 Tf 1 0 0 1 391.206 624.91 Tm [(ja)]TJ/F84 9.9626 Tf 1.02 0 0 1 405.507 624.91 Tm [(ar)18(e)-378(alr)17(eady)-377(in)-378(local)]TJ 1 0 0 1 175.611 612.954 Tm [(numbering.)]TJ 0 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 23.999 0 Td [(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(.)]TJ -61.878 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F131 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F84 9.9626 Tf 36.613 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -224.197 -23.056 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -224.197 -23.056 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.444 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(matrix)-250(into)-250(which)-250(coef)18(\002cients)-250(will)-250(be)-250(inserted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.344 0 Td [(local)]TJ/F62 9.9626 Tf -28.344 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.962 0 Td [(the)-250(matrix)-250(into)-250(which)-250(coef)18(\002cients)-250(will)-250(be)-250(inserted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 0 Td [(local)]TJ/F84 9.9626 Tf -28.652 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 23.999 0 Td [(required)]TJ/F84 9.9626 Tf -23.691 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 484.968 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 363.206 484.768 Td [(Tspmat)]TJ +/F131 9.9626 Tf 363.206 484.768 Td [(Tspmat)]TJ ET q 1 0 0 1 395.216 484.968 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 398.354 484.768 Td [(type)]TJ +/F131 9.9626 Tf 398.354 484.768 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -268.57 -21.443 Td [(desc)]TJ +/F75 9.9626 Tf -268.57 -21.443 Td [(desc)]TJ ET q 1 0 0 1 171.218 463.524 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 463.325 Td [(a)]TJ +/F75 9.9626 Tf 174.207 463.325 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -66.381 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.653 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.249 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -53.319 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -66.072 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 136.328 0 Td [(psb)]TJ +/F131 9.9626 Tf 136.328 0 Td [(psb)]TJ ET q 1 0 0 1 328.257 415.704 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 331.395 415.504 Td [(desc)]TJ +/F131 9.9626 Tf 331.395 415.504 Td [(desc)]TJ ET q 1 0 0 1 352.944 415.704 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 356.083 415.504 Td [(type)]TJ +/F131 9.9626 Tf 356.083 415.504 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -226.299 -33.398 Td [(info)]TJ +/F75 9.9626 Tf -226.299 -33.398 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F59 11.9552 Tf -24.906 -23.436 Td [(Notes)]TJ +/F84 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F75 11.9552 Tf -24.518 -23.436 Td [(Notes)]TJ 0 g 0 G -/F62 9.9626 Tf 12.453 -21.064 Td [(1.)]TJ +/F84 9.9626 Tf 12.453 -21.064 Td [(1.)]TJ 0 g 0 G - [-500(On)-312(entry)-312(to)-312(this)-312(r)18(out)1(ine)-312(the)-312(descriptor)-312(may)-312(be)-312(in)-312(either)-312(the)-311(build)-312(or)-312(as-)]TJ 12.453 -11.955 Td [(sembled)-250(state.)]TJ + 1.02 0 0 1 175.611 289.785 Tm [(On)-386(entry)-386(to)-385(this)-386(r)18(outine)-386(the)-386(descriptor)-386(may)-386(be)-385(in)-386(either)-386(the)-386(build)-385(or)]TJ 1 0 0 1 175.611 277.83 Tm [(assembled)-250(state.)]TJ 0 g 0 G -12.453 -21.443 Td [(2.)]TJ 0 g 0 G - [-500(On)-314(entry)-315(to)-314(this)-315(r)18(ou)1(tine)-315(the)-314(sparse)-315(matrix)-314(may)-314(be)-315(in)-314(either)-314(the)-315(build)-314(or)]TJ 12.453 -11.955 Td [(update)-250(state.)]TJ + 1.02 0 0 1 175.611 256.387 Tm [(On)-271(entry)-271(to)-271(this)-271(r)18(outine)-271(the)-271(sparse)-271(matrix)-271(may)-271(be)-271(in)-271(either)-270(the)-271(build)-271(or)]TJ 1 0 0 1 175.611 244.432 Tm [(update)-250(state.)]TJ 0 g 0 G -12.453 -21.444 Td [(3.)]TJ 0 g 0 G - [-500(If)-263(the)-263(descriptor)-263(is)-262(in)-263(the)-263(build)-263(state,)-266(then)-263(the)-263(sparse)-263(matrix)-262(must)-263(also)-263(be)]TJ 12.453 -11.955 Td [(in)-212(the)-212(build)-213(state;)-224(the)-213(action)-212(of)-212(the)-212(r)18(outine)-212(is)-213(to)-212(\050implicitly\051)-212(call)]TJ/F67 9.9626 Tf 271.732 0 Td [(psb_cdins)]TJ/F62 9.9626 Tf -271.732 -11.955 Td [(to)-259(add)-259(entries)-259(to)-259(the)-259(sparsity)-259(pattern;)-263(each)-259(sparse)-259(matrix)-259(entry)-259(implicitly)]TJ 0 -11.955 Td [(de\002nes)-288(a)-288(graph)-288(edge,)-297(that)-288(is)-288(passed)-288(to)-288(the)-288(descriptor)-288(r)18(outine)-288(for)-288(the)-288(ap-)]TJ 0 -11.955 Td [(pr)18(opriate)-250(pr)18(ocessing;)]TJ + 1.006 0 0 1 175.611 222.988 Tm [(If)-249(the)-250(descriptor)-249(is)-250(in)-249(the)-250(build)-249(state,)-250(then)-249(the)-250(sparse)-249(matrix)-249(must)-250(also)-249(be)]TJ 0.98 0 0 1 175.611 211.033 Tm [(in)-256(the)-256(build)-256(state;)-256(the)-256(action)-256(of)-256(the)-256(r)18(outine)-256(is)-256(to)-256(\050implicitly\051)-256(call)]TJ/F131 9.9626 Tf 1 0 0 1 447.343 211.033 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 1.005 0 0 1 175.611 199.078 Tm [(to)-248(add)-249(entries)-248(to)-249(the)-248(sparsity)-249(pattern;)-248(each)-249(sparse)-248(matrix)-248(entry)-249(implicitly)]TJ 1.02 0 0 1 175.611 187.123 Tm [(de\002nes)-377(a)-377(graph)-378(edge,)-410(that)-377(is)-377(passed)-377(to)-378(the)-377(descriptor)-377(r)18(outine)-378(for)-377(the)]TJ 1 0 0 1 175.611 175.168 Tm [(appr)18(opriate)-250(pr)18(ocessing;)]TJ 0 g 0 G -12.453 -21.444 Td [(4.)]TJ 0 g 0 G - [-500(The)-250(input)-250(data)-250(can)-250(be)-250(passed)-250(in)-250(either)-250(COO)-250(or)-250(CSR)-250(formats;)]TJ + [-469(The)-250(input)-250(data)-250(can)-250(be)-250(passed)-250(in)-250(either)-250(COO)-250(or)-250(CSR)-250(formats;)]TJ 0 g 0 G 0 -21.443 Td [(5.)]TJ 0 g 0 G - [-500(In)-307(COO)-307(format)-307(the)-306(coef)18(\002cients)-307(to)-307(be)-307(inserted)-307(ar)18(e)-307(r)18(epr)18(esented)-306(by)-307(the)-307(or)18(-)]TJ 12.453 -11.955 Td [(der)18(ed)-194(triples)]TJ/F60 9.9626 Tf 57.352 0 Td [(i)-47(a)]TJ/F93 10.3811 Tf 7.911 0 Td [(\050)]TJ/F60 9.9626 Tf 4.204 0 Td [(i)]TJ/F93 10.3811 Tf 3.088 0 Td [(\051)]TJ/F62 9.9626 Tf 4.15 0 Td [(,)]TJ/F60 9.9626 Tf 4.624 0 Td [(j)-40(a)]TJ/F93 10.3811 Tf 7.84 0 Td [(\050)]TJ/F60 9.9626 Tf 4.205 0 Td [(i)]TJ/F93 10.3811 Tf 3.088 0 Td [(\051)]TJ/F62 9.9626 Tf 4.149 0 Td [(,)]TJ/F60 9.9626 Tf 4.276 0 Td [(v)-40(a)-25(l)]TJ/F93 10.3811 Tf 13.37 0 Td [(\050)]TJ/F60 9.9626 Tf 4.204 0 Td [(i)]TJ/F93 10.3811 Tf 3.088 0 Td [(\051)]TJ/F62 9.9626 Tf 4.15 0 Td [(,)-205(for)]TJ/F60 9.9626 Tf 19.208 0 Td [(i)]TJ/F93 10.3811 Tf 5.856 0 Td [(=)]TJ/F62 9.9626 Tf 10.961 0 Td [(1,)-179(.)-192(.)-191(.)-180(,)]TJ/F60 9.9626 Tf 26.608 0 Td [(n)-25(z)]TJ/F62 9.9626 Tf 10.337 0 Td [(;)-212(these)-194(triples)-194(ar)18(e)-193(arbitrary;)]TJ + 1.02 0 0 1 175.611 132.281 Tm [(In)-268(COO)-268(format)-268(the)-268(coef)18(\002cients)-268(to)-268(be)-268(inserted)-268(ar)18(e)-268(r)17(epr)18(esented)-268(by)-268(the)-268(or)18(-)]TJ 0.985 0 0 1 175.611 120.326 Tm [(der)18(ed)-253(triples)]TJ/F78 9.9626 Tf 1 0 0 1 233.265 120.326 Tm [(i)-47(a)]TJ/F181 10.3811 Tf 7.91 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 3.089 0 Td [(\051)]TJ/F84 9.9626 Tf 0.985 0 0 1 252.617 120.326 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 257.204 120.326 Tm [(j)-40(a)]TJ/F181 10.3811 Tf 7.84 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F181 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 0.985 0 0 1 276.486 120.326 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 280.725 120.326 Tm [(v)-40(a)-25(l)]TJ/F181 10.3811 Tf 13.369 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 3.089 0 Td [(\051)]TJ/F84 9.9626 Tf 0.985 0 0 1 305.536 120.326 Tm [(,)-253(for)]TJ/F78 9.9626 Tf 1 0 0 1 325.512 120.326 Tm [(i)]TJ/F181 10.3811 Tf 5.856 0 Td [(=)]TJ/F84 9.9626 Tf 0.985 0 0 1 342.329 120.326 Tm [(1,)]TJ 1 0 0 1 351.474 120.326 Tm [(.)-192(.)-191(.)]TJ 0.985 0 0 1 364.55 120.326 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 368.788 120.326 Tm [(n)-25(z)]TJ/F84 9.9626 Tf 0.985 0 0 1 379.124 120.326 Tm [(;)-253(these)-253(triples)-253(ar)18(e)-253(arbitrary;)]TJ 0 g 0 G - -60.701 -29.888 Td [(84)]TJ + 1 0 0 1 317.579 90.438 Tm [(84)]TJ 0 g 0 G ET endstream endobj -1555 0 obj +1558 0 obj << -/Length 4535 +/Length 5282 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F62 9.9626 Tf 112.349 706.129 Td [(6.)]TJ +/F84 9.9626 Tf 112.349 706.129 Td [(6.)]TJ 0 g 0 G - [-500(In)-272(CSR)-271(format)-272(the)-271(coef)18(\002cients)-272(to)-271(be)-272(inserted)-272(for)-271(each)-272(input)-271(r)18(ow)]TJ/F60 9.9626 Tf 294.598 0 Td [(i)]TJ/F93 10.3811 Tf 6.254 0 Td [(=)]TJ/F62 9.9626 Tf 11.36 0 Td [(1,)]TJ/F60 9.9626 Tf 9.257 0 Td [(n)-15(r)]TJ/F62 9.9626 Tf -309.016 -11.955 Td [(ar)18(e)-311(r)18(epr)18(esented)-312(by)-311(the)-311(or)18(der)18(ed)-312(triples)]TJ/F93 10.3811 Tf 171.689 0 Td [(\050)]TJ/F60 9.9626 Tf 4.205 0 Td [(i)]TJ/F93 10.3811 Tf 5.251 0 Td [(+)]TJ/F60 9.9626 Tf 10.413 0 Td [(i)-22(r)-35(w)]TJ/F91 10.3811 Tf 16.818 0 Td [(\000)]TJ/F62 9.9626 Tf 10.358 0 Td [(1)]TJ/F93 10.3811 Tf 5.106 0 Td [(\051)]TJ/F62 9.9626 Tf 4.149 0 Td [(,)]TJ/F60 9.9626 Tf 4.624 0 Td [(j)-40(a)]TJ/F93 10.3811 Tf 7.841 0 Td [(\050)]TJ/F60 9.9626 Tf 4.622 0 Td [(j)]TJ/F93 10.3811 Tf 3.019 0 Td [(\051)]TJ/F62 9.9626 Tf 4.149 0 Td [(,)]TJ/F60 9.9626 Tf 4.276 0 Td [(v)-40(a)-25(l)]TJ/F93 10.3811 Tf 13.37 0 Td [(\050)]TJ/F60 9.9626 Tf 4.622 0 Td [(j)]TJ/F93 10.3811 Tf 3.019 0 Td [(\051)]TJ/F62 9.9626 Tf 4.149 0 Td [(,)-327(for)]TJ/F60 9.9626 Tf 22.013 0 Td [(j)]TJ/F93 10.3811 Tf 6.917 0 Td [(=)]TJ/F60 9.9626 Tf -310.555 -11.955 Td [(i)-22(r)-90(p)]TJ/F93 10.3811 Tf 12.991 0 Td [(\050)]TJ/F60 9.9626 Tf 4.204 0 Td [(i)]TJ/F93 10.3811 Tf 3.088 0 Td [(\051)]TJ/F62 9.9626 Tf 4.15 0 Td [(,)-179(.)-192(.)-191(.)-180(,)]TJ/F60 9.9626 Tf 21.557 0 Td [(i)-22(r)-90(p)]TJ/F93 10.3811 Tf 12.991 0 Td [(\050)]TJ/F60 9.9626 Tf 4.204 0 Td [(i)]TJ/F93 10.3811 Tf 5.301 0 Td [(+)]TJ/F62 9.9626 Tf 10.407 0 Td [(1)]TJ/F93 10.3811 Tf 5.106 0 Td [(\051)]TJ/F91 10.3811 Tf 6.486 0 Td [(\000)]TJ/F62 9.9626 Tf 10.407 0 Td [(1;)-362(these)-325(triples)-324(should)-325(belong)-325(to)-324(the)-325(curr)18(ent)-325(pr)18(o-)]TJ -100.947 -11.956 Td [(cess,)-276(i.e.)]TJ/F60 9.9626 Tf 39.307 0 Td [(i)]TJ/F93 10.3811 Tf 5.103 0 Td [(+)]TJ/F60 9.9626 Tf 10.263 0 Td [(i)-22(r)-35(w)]TJ/F91 10.3811 Tf 16.669 0 Td [(\000)]TJ/F62 9.9626 Tf 10.209 0 Td [(1)-271(should)-271(be)-271(one)-271(of)-271(the)-271(local)-270(indices,)-277(but)-271(ar)18(e)-270(otherwise)]TJ -81.551 -11.955 Td [(arbitrary;)]TJ + 1.02 0 0 1 124.802 706.129 Tm [(In)-389(CSR)-388(format)-389(the)-388(coef)18(\002cients)-389(to)-388(be)-389(inserted)-388(for)-389(each)-388(input)-389(r)18(ow)]TJ/F78 9.9626 Tf 1 0 0 1 426.857 706.129 Tm [(i)]TJ/F181 10.3811 Tf 8.555 0 Td [(=)]TJ/F84 9.9626 Tf 1.017 0 0 1 124.304 694.174 Tm [(1,)]TJ/F78 9.9626 Tf 1 0 0 1 133.688 694.174 Tm [(n)-15(r)]TJ/F84 9.9626 Tf 1.017 0 0 1 145.968 694.174 Tm [(ar)18(e)-246(r)17(epr)18(esented)-246(by)-246(the)-246(or)18(der)18(ed)-246(triples)]TJ/F181 10.3811 Tf 1 0 0 1 316.615 694.174 Tm [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 5.026 0 Td [(+)]TJ/F78 9.9626 Tf 10.187 0 Td [(i)-22(r)-35(w)]TJ/F179 10.3811 Tf 16.592 0 Td [(\000)]TJ/F84 9.9626 Tf 1.017 0 0 1 362.756 694.174 Tm [(1)]TJ/F181 10.3811 Tf 1 0 0 1 367.947 694.174 Tm [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 372.096 694.174 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 376.763 694.174 Tm [(j)-40(a)]TJ/F181 10.3811 Tf 7.84 0 Td [(\050)]TJ/F78 9.9626 Tf 4.623 0 Td [(j)]TJ/F181 10.3811 Tf 3.018 0 Td [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 396.394 694.174 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 400.712 694.174 Tm [(v)-40(a)-25(l)]TJ/F181 10.3811 Tf 13.37 0 Td [(\050)]TJ/F78 9.9626 Tf 4.622 0 Td [(j)]TJ/F181 10.3811 Tf 3.019 0 Td [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 425.872 694.174 Tm [(,)-246(for)]TJ/F78 9.9626 Tf 1 0 0 1 125.275 682.219 Tm [(j)]TJ/F181 10.3811 Tf 6.886 0 Td [(=)]TJ/F78 9.9626 Tf 12.115 0 Td [(i)-22(r)-90(p)]TJ/F181 10.3811 Tf 12.991 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 3.089 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 168.709 682.219 Tm [(,)]TJ 1 0 0 1 173.035 682.219 Tm [(.)-192(.)-191(.)]TJ 1.02 0 0 1 186.11 682.219 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 190.366 682.219 Tm [(i)-22(r)-90(p)]TJ/F181 10.3811 Tf 12.991 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 5.246 0 Td [(+)]TJ/F84 9.9626 Tf 1.02 0 0 1 223.158 682.219 Tm [(1)]TJ/F181 10.3811 Tf 1 0 0 1 228.363 682.219 Tm [(\051)]TJ/F179 10.3811 Tf 6.431 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 245.145 682.219 Tm [(1;)-333(these)-303(triples)-304(should)-303(belong)-304(to)-303(the)-304(curr)18(ent)]TJ 0.98 0 0 1 124.503 670.263 Tm [(pr)18(ocess,)-219(i.e.)]TJ/F78 9.9626 Tf 1 0 0 1 176.65 670.263 Tm [(i)]TJ/F181 10.3811 Tf 4.622 0 Td [(+)]TJ/F78 9.9626 Tf 9.782 0 Td [(i)-22(r)-35(w)]TJ/F179 10.3811 Tf 16.188 0 Td [(\000)]TJ/F84 9.9626 Tf 0.98 0 0 1 216.97 670.263 Tm [(1)-210(should)-211(be)-210(one)-211(of)-210(the)-211(local)-210(indices,)-219(but)-211(ar)18(e)-210(otherwise)]TJ 1 0 0 1 124.802 658.308 Tm [(arbitrary;)]TJ 0 g 0 G -12.453 -19.925 Td [(7.)]TJ 0 g 0 G - [-500(Ther)18(e)-315(is)-314(no)-315(r)18(equir)18(ement)-314(that)-315(a)-315(given)-314(r)18(ow)-315(must)-315(be)-314(passed)-315(in)-315(its)-314(entir)18(ety)]TJ 12.453 -11.955 Td [(to)-298(a)-299(single)-298(call)-298(to)-299(thi)1(s)-299(r)18(outine:)-406(the)-299(buildup)-298(of)-298(a)-299(r)18(ow)-298(may)-298(be)-299(split)-298(into)-298(as)]TJ 0 -11.955 Td [(many)-250(calls)-250(as)-250(desir)18(ed)-250(\050even)-250(in)-250(the)-250(CSR)-250(format\051;)]TJ + 0.991 0 0 1 124.493 638.383 Tm [(Ther)18(e)-253(is)-253(no)-253(r)19(equir)18(ement)-253(that)-253(a)-253(given)-253(r)18(ow)-253(must)-253(be)-253(passed)-252(in)-253(its)-253(entir)18(ety)-253(to)]TJ 0.98 0 0 1 124.802 626.428 Tm [(a)-241(single)-241(call)-241(to)-241(this)-241(r)18(outine:)-309(the)-241(buildup)-242(of)-241(a)-241(r)19(ow)-241(may)-242(be)-241(split)-241(into)-241(as)-241(many)]TJ 1 0 0 1 124.802 614.473 Tm [(calls)-250(as)-250(desir)18(ed)-250(\050even)-250(in)-250(the)-250(CSR)-250(format\051;)]TJ 0 g 0 G -12.453 -19.926 Td [(8.)]TJ 0 g 0 G - [-500(Coef)18(\002cients)-288(fr)18(om)-289(dif)18(fer)18(ent)-288(r)18(ows)-288(may)-289(also)-288(be)-288(mixed)-289(up)-288(fr)18(eely)-288(in)-289(a)-288(single)]TJ 12.453 -11.955 Td [(call,)-250(accor)18(ding)-250(to)-250(the)-250(application)-250(needs;)]TJ + 1.016 0 0 1 124.802 594.547 Tm [(Coef)18(\002cients)-246(fr)17(om)-246(dif)18(fer)18(ent)-246(r)17(ows)-246(may)-246(also)-246(be)-247(mixed)-246(up)-246(fr)18(eely)-247(in)-246(a)-246(single)]TJ 1 0 0 1 124.802 582.592 Tm [(call,)-250(accor)18(ding)-250(to)-250(the)-250(application)-250(needs;)]TJ 0 g 0 G -12.453 -19.925 Td [(9.)]TJ 0 g 0 G - [-500(Coef)18(\002cients)-190(fr)18(om)-190(matrix)-190(r)18(ows)-190(not)-190(owned)-190(by)-190(the)-190(calling)-190(pr)18(ocess)-190(ar)18(e)-190(tr)18(eated)]TJ 12.453 -11.955 Td [(accor)18(ding)-254(to)-254(the)-253(value)-254(of)]TJ/F67 9.9626 Tf 111.539 0 Td [(bldmode)]TJ/F62 9.9626 Tf 39.141 0 Td [(speci\002ed)-254(at)-253(allocation)-254(time;)-256(if)]TJ/F67 9.9626 Tf 131.512 0 Td [(bldmode)]TJ/F62 9.9626 Tf -282.192 -11.956 Td [(was)-300(chosen)-300(as)]TJ/F67 9.9626 Tf 66.146 0 Td [(psb_matbld_remote_)]TJ/F62 9.9626 Tf 97.136 0 Td [(the)-300(library)-300(will)-300(keep)-300(track)-301(of)-300(them,)]TJ -163.282 -11.955 Td [(otherwise)-250(they)-250(ar)18(e)-250(silently)-250(ignor)18(ed;)]TJ + 0.98 0 0 1 124.802 562.667 Tm [(Coef)18(\002cients)-229(fr)18(om)-228(matrix)-229(r)18(ows)-229(not)-229(owned)-229(by)-229(the)-229(calling)-228(pr)18(ocess)-229(ar)18(e)-229(tr)19(eated)]TJ 1.002 0 0 1 124.802 550.712 Tm [(accor)18(ding)-249(to)-250(the)-249(value)-250(of)]TJ/F131 9.9626 Tf 1 0 0 1 236.35 550.712 Tm [(bldmode)]TJ/F84 9.9626 Tf 1.002 0 0 1 275.452 550.712 Tm [(speci\002ed)-249(at)-250(allocation)-249(time;)-250(if)]TJ/F131 9.9626 Tf 1 0 0 1 406.994 550.712 Tm [(bldmode)]TJ/F84 9.9626 Tf 1.02 0 0 1 124.384 538.757 Tm [(was)-272(chosen)-273(as)]TJ/F131 9.9626 Tf 1 0 0 1 191.003 538.757 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 1.02 0 0 1 287.916 538.757 Tm [(the)-272(library)-273(will)-272(keep)-272(track)-272(of)-273(them,)]TJ 1 0 0 1 124.802 526.801 Tm [(otherwise)-250(they)-250(ar)18(e)-250(silently)-250(ignor)18(ed;)]TJ 0 g 0 G -17.435 -19.925 Td [(10.)]TJ 0 g 0 G - [-500(If)-295(the)-294(descriptor)-295(is)-295(i)1(n)-295(the)-295(assembled)-294(state,)-306(then)-295(any)-294(entries)-295(in)-295(the)-294(sparse)]TJ 17.435 -11.955 Td [(matrix)-284(that)-284(would)-284(generate)-284(additional)-284(communication)-284(r)18(equir)18(ements)-284(ar)18(e)]TJ 0 -11.955 Td [(ignor)18(ed;)]TJ + 1.02 0 0 1 124.802 506.876 Tm [(If)-247(the)-247(descriptor)-247(is)-248(in)-247(the)-247(assembled)-247(state,)-248(then)-247(any)-247(entries)-247(in)-248(the)-247(sparse)]TJ 1.008 0 0 1 124.802 494.921 Tm [(matrix)-248(that)-247(would)-248(generate)-248(additional)-247(communication)-248(r)18(equir)18(ements)-248(ar)18(e)]TJ 1 0 0 1 124.802 482.966 Tm [(ignor)18(ed;)]TJ 0 g 0 G -17.435 -19.926 Td [(11.)]TJ 0 g 0 G - [-500(If)-268(the)-268(matrix)-268(is)-268(in)-268(the)-268(update)-268(state,)-273(any)-268(entries)-268(in)-268(positions)-268(that)-268(wer)18(e)-268(not)]TJ 17.435 -11.955 Td [(pr)18(esent)-250(in)-250(the)-250(original)-250(matrix)-250(ar)18(e)-250(ignor)18(ed.)]TJ + 1.009 0 0 1 124.802 463.04 Tm [(If)-248(the)-248(matrix)-248(is)-248(in)-248(the)-248(update)-248(state,)-248(any)-248(entries)-248(in)-248(positions)-248(that)-248(wer)18(e)-248(not)]TJ 1 0 0 1 124.503 451.085 Tm [(pr)18(esent)-250(in)-250(the)-250(original)-250(matrix)-250(ar)18(e)-250(ignor)18(ed.)]TJ 0 g 0 G - 141.968 -360.647 Td [(85)]TJ + 142.267 -360.647 Td [(85)]TJ 0 g 0 G ET endstream endobj -1569 0 obj +1572 0 obj << -/Length 6789 +/Length 6916 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(6.9)-1000(psb)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(6.9)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 201.825 706.129 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(routine)]TJ +/F75 11.9552 Tf 201.825 706.129 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -51.12 -19.204 Td [(call)-525(psb_spasb\050a,)-525(desc_a,)-525(info)-525([,)-525(afmt,)-525(upd,)-1050(mold]\051)]TJ +/F131 9.9626 Tf -51.12 -19.204 Td [(call)-525(psb_spasb\050a,)-525(desc_a,)-525(info)-525([,)-525(afmt,)-525(upd,)-1050(mold]\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -22.289 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -22.289 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -20.421 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -20.421 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.421 Td [(desc)]TJ @@ -18768,161 +18761,161 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 623.794 Td [(a)]TJ +/F75 9.9626 Tf 174.207 623.794 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.344 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in/out)]TJ/F62 9.9626 Tf 27.297 0 Td [(.)]TJ -59.098 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 23.999 0 Td [(required)]TJ/F84 9.9626 Tf 39.293 0 Td [(.)]TJ -62.984 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in/out)]TJ/F84 9.9626 Tf 27.297 0 Td [(.)]TJ -59.098 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 576.173 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 363.206 575.974 Td [(desc)]TJ +/F131 9.9626 Tf 363.206 575.974 Td [(desc)]TJ ET q 1 0 0 1 384.755 576.173 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 387.893 575.974 Td [(type)]TJ +/F131 9.9626 Tf 387.893 575.974 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -20.421 Td [(afmt)]TJ +/F75 9.9626 Tf -258.11 -20.421 Td [(afmt)]TJ 0 g 0 G -/F62 9.9626 Tf 26.012 0 Td [(the)-250(storage)-250(format)-250(for)-250(the)-250(sparse)-250(matrix.)]TJ -1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(array)-250(of)-250(characters.)-310(Defalt:)-310('CSR'.)]TJ +/F84 9.9626 Tf 26.012 0 Td [(the)-250(storage)-250(format)-250(for)-250(the)-250(sparse)-250(matrix.)]TJ -1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -53.319 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 38.186 0 Td [(.)]TJ -64.966 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(array)-250(of)-250(characters.)-310(Defalt:)-310('CSR'.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.906 -20.42 Td [(upd)]TJ +/F75 9.9626 Tf -24.906 -20.42 Td [(upd)]TJ 0 g 0 G -/F62 9.9626 Tf 23.243 0 Td [(Pr)18(ovide)-250(for)-250(updates)-250(to)-250(the)-250(matrix)-250(coef)18(\002cients.)]TJ 1.663 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(integer)74(,)-250(possible)-250(values:)]TJ/F67 9.9626 Tf 165.219 0 Td [(psb_upd_srch_)]TJ/F62 9.9626 Tf 67.994 0 Td [(,)]TJ/F67 9.9626 Tf 4.981 0 Td [(psb_upd_perm_)]TJ +/F84 9.9626 Tf 23.243 0 Td [(Pr)18(ovide)-250(for)-250(updates)-250(to)-250(the)-250(matrix)-250(coef)18(\002cients.)]TJ 1.663 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf 28.782 0 Td [(.)]TJ -60.522 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 38.186 0 Td [(.)]TJ -64.966 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(integer)74(,)-250(possible)-250(values:)]TJ/F131 9.9626 Tf 165.219 0 Td [(psb_upd_srch_)]TJ/F84 9.9626 Tf 67.994 0 Td [(,)]TJ/F131 9.9626 Tf 4.981 0 Td [(psb_upd_perm_)]TJ 0 g 0 G -/F59 9.9626 Tf -263.1 -20.421 Td [(mold)]TJ +/F75 9.9626 Tf -263.1 -20.421 Td [(mold)]TJ 0 g 0 G -/F62 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(matrix)-250(storage.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F67 9.9626 Tf 201.393 0 Td [(psb)]TJ +/F84 9.9626 Tf 28.473 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(matrix)-250(storage.)]TJ -3.567 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -53.319 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 38.186 0 Td [(.)]TJ -64.966 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F131 9.9626 Tf 201.393 0 Td [(psb)]TJ ET q 1 0 0 1 393.323 371.449 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 396.461 371.249 Td [(T)]TJ +/F131 9.9626 Tf 396.461 371.249 Td [(T)]TJ ET q 1 0 0 1 402.319 371.449 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 405.457 371.249 Td [(base)]TJ +/F131 9.9626 Tf 405.457 371.249 Td [(base)]TJ ET q 1 0 0 1 427.006 371.449 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 430.144 371.249 Td [(sparse)]TJ +/F131 9.9626 Tf 430.144 371.249 Td [(sparse)]TJ ET q 1 0 0 1 462.154 371.449 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 465.292 371.249 Td [(mat)]TJ/F62 9.9626 Tf 15.691 0 Td [(.)]TJ +/F131 9.9626 Tf 465.292 371.249 Td [(mat)]TJ/F84 9.9626 Tf 15.691 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -330.278 -22.289 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -330.278 -22.289 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.421 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(matrix)-250(to)-250(be)-250(assembled.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.344 0 Td [(local)]TJ/F62 9.9626 Tf -28.344 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.962 0 Td [(the)-250(matrix)-250(to)-250(be)-250(assembled.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 0 Td [(local)]TJ/F84 9.9626 Tf -28.652 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 23.999 0 Td [(required)]TJ/F84 9.9626 Tf -23.691 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 280.918 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 363.206 280.719 Td [(Tspmat)]TJ +/F131 9.9626 Tf 363.206 280.719 Td [(Tspmat)]TJ ET q 1 0 0 1 395.216 280.918 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 398.354 280.719 Td [(type)]TJ +/F131 9.9626 Tf 398.354 280.719 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -268.57 -20.421 Td [(desc)]TJ +/F75 9.9626 Tf -268.57 -20.421 Td [(desc)]TJ ET q 1 0 0 1 171.218 260.497 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 260.298 Td [(a)]TJ +/F75 9.9626 Tf 174.207 260.298 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 28.344 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in/out)]TJ/F62 9.9626 Tf 27.297 0 Td [(.)]TJ -59.098 -11.956 Td [(Speci\002ed)-290(as:)-389(a)-290(str)8(uctur)18(ed)-290(data)-289(of)-290(type)]TJ +/F84 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 23.999 0 Td [(required)]TJ/F84 9.9626 Tf 39.293 0 Td [(.)]TJ -62.984 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in/out)]TJ/F84 9.9626 Tf 27.297 0 Td [(.)]TJ 1.02 0 0 1 175.611 212.477 Tm [(Speci\002ed)-253(as:)-320(a)-253(str)8(uctur)17(ed)-253(data)-253(of)-253(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 171.305 0 Td [(psb)]TJ +/F131 9.9626 Tf 1 0 0 1 347.411 212.477 Tm [(psb)]TJ ET q -1 0 0 1 363.235 212.677 cm +1 0 0 1 363.729 212.677 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 366.373 212.477 Td [(desc)]TJ +/F131 9.9626 Tf 366.868 212.477 Td [(desc)]TJ ET q -1 0 0 1 387.922 212.677 cm +1 0 0 1 388.417 212.677 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 391.06 212.477 Td [(type)]TJ +/F131 9.9626 Tf 391.555 212.477 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)-429(If)-290(the)-290(matrix)-289(was)]TJ -236.371 -11.955 Td [(allocated)-209(with)]TJ/F67 9.9626 Tf 64.153 0 Td [(bldmode=psb_matbld_remote_)]TJ/F62 9.9626 Tf 135.988 0 Td [(,)-217(then)-210(the)-209(descriptor)-209(will)-209(be)]TJ -200.141 -11.955 Td [(r)18(eassembled.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 412.476 212.477 Tm [(.)-328(If)-253(the)-253(matrix)-253(was)]TJ 0.984 0 0 1 175.611 200.522 Tm [(allocated)-253(with)]TJ/F131 9.9626 Tf 1 0 0 1 239.595 200.522 Tm [(bldmode=psb_matbld_remote_)]TJ/F84 9.9626 Tf 0.984 0 0 1 375.584 200.522 Tm [(,)-253(then)-253(the)-253(descriptor)-253(will)-253(be)]TJ 1 0 0 1 175.611 188.567 Tm [(r)18(eassembled.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.906 -20.421 Td [(info)]TJ +/F75 9.9626 Tf -24.906 -20.421 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F84 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ 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0 1 124.802 674.248 Tm [(psb_cdasb)]TJ/F84 9.9626 Tf 49.564 0 Td [(must)-250(alr)18(eady)-250(have)-250(been)-250(called.)]TJ 0 g 0 G -62.017 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(The)-250(sparse)-250(matrix)-250(may)-250(be)-250(in)-250(either)-250(the)-250(build)-250(or)-250(update)-250(state;)]TJ + [-469(The)-250(sparse)-250(matrix)-250(may)-250(be)-250(in)-250(either)-250(the)-250(build)-250(or)-250(update)-250(state;)]TJ 0 g 0 G 0 -19.925 Td [(3.)]TJ 0 g 0 G - [-500(Duplicate)-421(entries)-422(ar)18(e)-421(detected)-421(and)-422(handled)-421(in)-421(both)-421(build)-422(and)-421(update)]TJ 12.453 -11.955 Td [(state,)-244(wit)1(h)-242(the)-242(exception)-242(of)-242(the)-242(err)18(or)-242(action)-242(that)-242(is)-242(only)-241(taken)-242(in)-242(the)-242(build)]TJ 0 -11.955 Td [(state,)-250(i.e.)-310(on)-250(the)-250(\002rst)-250(assembly;)]TJ + 0.98 0 0 1 124.802 634.398 Tm 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Tf 26.561 0 Td [(Choose)-250(whether)-250(to)-250(zer)18(o)-250(out)-250(matrix)-250(coef)18(\002cients)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(optional)]TJ/F84 9.9626 Tf 38.186 0 Td [(.)]TJ -61.877 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)-310(tr)8(ue.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -21.917 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -24.907 -21.917 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F59 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F75 11.9552 Tf -24.518 -21.918 Td [(Notes)]TJ 0 g 0 G -/F62 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F84 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(sparse)-250(matrix)-250(is)-250(in)-250(the)-250(update)-250(state.)]TJ 0 g 0 G @@ -19128,31 +19121,31 @@ ET endstream endobj -1599 0 obj +1602 0 obj << -/Length 6166 +/Length 6526 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(6.12)-1000(psb)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(6.12)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 207.803 706.129 Td [(geall)-250(\227)-250(Allocates)-250(a)-250(dense)-250(matrix)]TJ +/F75 11.9552 Tf 207.803 706.129 Td [(geall)-250(\227)-250(Allocates)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info[,)-525(dupl,)-525(bldmode,)-525(n,)-525(lb]\051)]TJ +/F131 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info[,)-525(dupl,)-525(bldmode,)-525(n,)-525(lb]\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -19.627 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -19.627 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.01 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -19.01 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.009 Td [(desc)]TJ @@ -19162,75 +19155,75 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 629.519 Td [(a)]TJ +/F75 9.9626 Tf 174.207 629.519 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.653 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.249 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 136.328 0 Td [(psb)]TJ +/F131 9.9626 Tf 136.328 0 Td [(psb)]TJ ET q 1 0 0 1 328.257 581.898 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 331.395 581.699 Td [(desc)]TJ +/F131 9.9626 Tf 331.395 581.699 Td [(desc)]TJ ET q 1 0 0 1 352.944 581.898 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 356.083 581.699 Td [(type)]TJ +/F131 9.9626 Tf 356.083 581.699 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -226.299 -30.965 Td [(n)]TJ +/F75 9.9626 Tf -226.299 -30.965 Td [(n)]TJ 0 g 0 G -/F62 9.9626 Tf 11.068 0 Td [(The)-250(number)-250(of)-250(columns)-250(of)-250(the)-250(dense)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 13.838 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-297(as:)-404(Integer)-297(scalar)74(,)-309(default)-297(1.)-450(It)-297(is)-297(not)-297(a)-297(valid)-297(ar)18(gument)-297(if)]TJ/F60 9.9626 Tf 295.578 0 Td [(x)]TJ/F62 9.9626 Tf 8.164 0 Td [(is)-297(a)]TJ -303.742 -11.956 Td [(rank-1)-250(array)111(.)]TJ +/F84 9.9626 Tf 10.759 0 Td [(The)-250(number)-250(of)-250(columns)-250(of)-250(the)-250(dense)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.147 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ 1.02 0 0 1 175.611 502.914 Tm [(Speci\002ed)-262(as:)-339(Integer)-262(scalar)72(,)-266(default)-262(1.)-356(It)-262(is)-263(not)-262(a)-263(val)1(id)-263(ar)18(gument)-263(i)1(f)]TJ/F78 9.9626 Tf 1 0 0 1 471.532 502.914 Tm [(x)]TJ/F84 9.9626 Tf 1.02 0 0 1 479.403 502.914 Tm [(is)-262(a)]TJ 1 0 0 1 175.611 490.959 Tm [(rank-1)-250(array)111(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.906 -19.009 Td [(lb)]TJ +/F75 9.9626 Tf -24.906 -19.01 Td [(lb)]TJ 0 g 0 G -/F62 9.9626 Tf 14.386 0 Td [(The)-237(lower)-238(bound)-237(for)-238(the)-237(column)-238(index)-237(range)-237(of)-238(the)-237(dense)-238(matrix)-237(to)-238(be)-237(allo-)]TJ 10.52 -11.955 Td [(cated.)]TJ 0 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-297(as:)-404(Integer)-297(scalar)74(,)-309(default)-297(1.)-450(It)-297(is)-297(not)-297(a)-297(valid)-297(ar)18(gument)-297(if)]TJ/F60 9.9626 Tf 295.578 0 Td [(x)]TJ/F62 9.9626 Tf 8.164 0 Td [(is)-297(a)]TJ -303.742 -11.955 Td [(rank-1)-250(array)111(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 164.782 471.949 Tm [(The)-359(lower)-359(bound)-359(for)-359(the)-359(column)-359(index)-359(range)-359(of)-359(the)-359(dense)-359(matrix)-359(to)-359(be)]TJ 1 0 0 1 175.611 459.994 Tm [(allocated.)]TJ 0 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ 1.02 0 0 1 175.611 412.174 Tm [(Speci\002ed)-262(as:)-339(Integer)-262(scalar)72(,)-266(default)-262(1.)-356(It)-262(is)-263(not)-262(a)-263(val)1(id)-263(ar)18(gument)-263(i)1(f)]TJ/F78 9.9626 Tf 1 0 0 1 471.532 412.174 Tm [(x)]TJ/F84 9.9626 Tf 1.02 0 0 1 479.403 412.174 Tm [(is)-262(a)]TJ 1 0 0 1 175.611 400.218 Tm [(rank-1)-250(array)111(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.906 -19.009 Td [(dupl)]TJ +/F75 9.9626 Tf -24.906 -19.009 Td [(dupl)]TJ 0 g 0 G -/F62 9.9626 Tf 26.56 0 Td [(How)-250(to)-250(handle)-250(duplicate)-250(coef)18(\002cients.)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-243(as:)-306(integer)74(,)-244(possible)-243(values:)]TJ/F67 9.9626 Tf 164.942 0 Td [(psb_dupl_ovwrt_)]TJ/F62 9.9626 Tf 78.455 0 Td [(,)]TJ/F67 9.9626 Tf 4.923 0 Td [(psb_dupl_add_)]TJ/F62 9.9626 Tf 67.994 0 Td [(;)]TJ/F67 9.9626 Tf -316.314 -11.955 Td [(psb_dupl_err_)]TJ/F62 9.9626 Tf 70.485 0 Td [(has)-250(no)-250(ef)18(fect.)]TJ +/F84 9.9626 Tf 26.56 0 Td [(How)-250(to)-250(handle)-250(duplicate)-250(coef)18(\002cients.)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf 28.782 0 Td [(.)]TJ -60.522 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 38.186 0 Td [(.)]TJ -64.966 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ 1.006 0 0 1 175.611 333.389 Tm [(Speci\002ed)-248(as:)-308(integer)74(,)-248(possible)-248(values:)]TJ/F131 9.9626 Tf 1 0 0 1 341.716 333.389 Tm [(psb_dupl_ovwrt_)]TJ/F84 9.9626 Tf 1.006 0 0 1 420.171 333.389 Tm [(,)]TJ/F131 9.9626 Tf 1 0 0 1 425.161 333.389 Tm [(psb_dupl_add_)]TJ/F84 9.9626 Tf 1.006 0 0 1 493.156 333.389 Tm [(;)]TJ/F131 9.9626 Tf 1 0 0 1 175.611 321.433 Tm [(psb_dupl_err_)]TJ/F84 9.9626 Tf 70.486 0 Td [(has)-250(no)-250(ef)18(fect.)]TJ 0 g 0 G -/F59 9.9626 Tf -95.391 -19.009 Td [(bldmode)]TJ +/F75 9.9626 Tf -95.392 -19.009 Td [(bldmode)]TJ 0 g 0 G -/F62 9.9626 Tf 45.937 0 Td [(Whether)-372(to)-372(keep)-371(track)-372(of)-372(matrix)-372(entries)-371(that)-372(do)-372(not)-372(belong)-371(to)-372(the)]TJ -21.031 -11.955 Td [(curr)18(ent)-250(pr)18(ocess.)]TJ 0 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)-190(value)]TJ/F67 9.9626 Tf 128.288 0 Td [(psb_matbld_noremote_)]TJ/F62 9.9626 Tf 104.607 0 Td [(,)]TJ/F67 9.9626 Tf 4.503 0 Td [(psb_matbld_remote_)]TJ/F62 9.9626 Tf 94.146 0 Td [(.)]TJ -331.544 -11.955 Td [(Default:)]TJ/F67 9.9626 Tf 38.515 0 Td [(psb_matbld_noremote_)]TJ/F62 9.9626 Tf 104.607 0 Td [(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 196.144 302.424 Tm 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12.454 -19.926 Td [(1.)]TJ +/F84 9.9626 Tf 12.454 -19.926 Td [(1.)]TJ 0 g 0 G - [-500(This)-429(r)18(outine)-428(r)18(eturns)-429(a)]TJ/F67 9.9626 Tf 117.209 0 Td [(.true.)]TJ/F62 9.9626 Tf 35.654 0 Td [(value)-429(for)-428(those)-429(indices)-429(that)-429(ar)18(e)-428(strictly)]TJ -140.41 -11.955 Td [(owned)-250(by)-250(the)-250(curr)18(ent)-250(pr)18(ocess,)-250(excluding)-250(the)-250(halo)-250(indices)]TJ + 1.02 0 0 1 124.493 242.831 Tm [(This)-383(r)17(outine)-383(r)17(eturns)-383(a)]TJ/F131 9.9626 Tf 1 0 0 1 229.511 242.831 Tm [(.true.)]TJ/F84 9.9626 Tf 1.02 0 0 1 264.79 242.831 Tm [(value)-383(for)-384(those)-383(indices)-384(that)-383(ar)17(e)-383(strictly)]TJ 1 0 0 1 124.802 230.876 Tm [(owned)-250(by)-250(the)-250(curr)18(ent)-250(pr)18(ocess,)-250(excluding)-250(the)-250(halo)-250(indices)]TJ 0 g 0 G 139.477 -140.438 Td [(101)]TJ 0 g 0 G @@ -20694,175 +20690,175 @@ ET endstream endobj -1671 0 obj +1674 0 obj << -/Length 3147 +/Length 3283 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(6.21)-1000(psb)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(6.21)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 207.803 706.129 Td [(is)]TJ +/F75 11.9552 Tf 207.803 706.129 Td [(is)]TJ ET q 1 0 0 1 217.809 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 221.396 706.129 Td [(local)-250(\227)]TJ +/F75 11.9552 Tf 221.396 706.129 Td [(local)-250(\227)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_local\050x,)-525(desc_a\051)]TJ +/F131 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_local\050x,)-525(desc_a\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.439 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.439 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(Integer)-250(index.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.431 0 Td [(local)]TJ/F62 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(integer)74(.)]TJ +/F84 9.9626 Tf 9.963 0 Td [(Integer)-250(index.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(integer)74(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +/F75 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q 1 0 0 1 171.218 545.895 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 545.696 Td [(a)]TJ +/F75 9.9626 Tf 174.207 545.696 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 28.344 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 23.999 0 Td [(required)]TJ/F84 9.9626 Tf 39.293 0 Td [(.)]TJ -62.984 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 363.206 497.875 Td [(desc)]TJ +/F131 9.9626 Tf 363.206 497.875 Td [(desc)]TJ ET q 1 0 0 1 384.755 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 387.893 497.875 Td [(type)]TJ +/F131 9.9626 Tf 387.893 497.875 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F62 9.9626 Tf 72.777 0 Td [(A)-244(logical)-244(mask)-243(which)-244(is)-244(tr)8(ue)-244(if)]TJ/F60 9.9626 Tf 136.118 0 Td [(x)]TJ/F62 9.9626 Tf 7.635 0 Td [(is)-244(local)-244(to)-243(the)-244(curr)18(ent)-244(pr)18(ocess)]TJ -191.623 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.431 0 Td [(local)]TJ/F62 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ/F59 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ +/F84 9.9626 Tf 0.998 0 0 1 223.093 456.032 Tm [(A)-251(logical)-251(mask)-251(which)-251(is)-251(t)1(r)8(ue)-251(if)]TJ/F78 9.9626 Tf 1 0 0 1 359.436 456.032 Tm [(x)]TJ/F84 9.9626 Tf 0.998 0 0 1 367.136 456.032 Tm [(is)-251(local)-251(to)-251(the)-251(curr)18(ent)-250(pr)18(ocess)]TJ 1 0 0 1 175.611 444.077 Tm [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ/F75 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ 0 g 0 G -/F62 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ +/F84 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(This)-199(r)18(outine)-200(r)18(eturns)-199(a)]TJ/F67 9.9626 Tf 108.069 0 Td [(.true.)]TJ/F62 9.9626 Tf 33.369 0 Td [(value)-199(for)-200(an)-199(index)-199(that)-200(is)-199(local)-200(to)-199(the)-199(curr)18(ent)]TJ -128.984 -11.955 Td [(pr)18(ocess,)-250(including)-250(the)-250(halo)-250(indices)]TJ + 0.98 0 0 1 175.303 366.368 Tm [(This)-244(r)19(outine)-244(r)18(eturns)-243(a)]TJ/F131 9.9626 Tf 1 0 0 1 270.733 366.368 Tm [(.true.)]TJ/F84 9.9626 Tf 0.98 0 0 1 304.495 366.368 Tm [(value)-244(for)-243(an)-244(index)-244(that)-244(is)-244(local)-243(to)-244(the)-244(curr)19(ent)]TJ 1 0 0 1 175.313 354.413 Tm [(pr)18(ocess,)-250(including)-250(the)-250(halo)-250(indices)]TJ 0 g 0 G - 139.476 -263.975 Td [(102)]TJ + 139.775 -263.975 Td [(102)]TJ 0 g 0 G ET endstream endobj -1677 0 obj +1680 0 obj << -/Length 4785 +/Length 5077 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 99.895 706.129 Td [(6.22)-1000(psb)]TJ +/F75 11.9552 Tf 99.895 706.129 Td [(6.22)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 156.993 706.129 Td [(local)]TJ +/F75 11.9552 Tf 156.993 706.129 Td [(local)]TJ ET q 1 0 0 1 183.605 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 187.192 706.129 Td [(index)-250(\227)]TJ +/F75 11.9552 Tf 187.192 706.129 Td [(index)-250(\227)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -87.297 -18.964 Td [(call)-525(psb_local_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ +/F131 9.9626 Tf -87.297 -18.964 Td [(call)-525(psb_local_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.44 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.44 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(Integer)-250(indices.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in,)-250(inout)]TJ/F62 9.9626 Tf 38.735 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(or)-250(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F84 9.9626 Tf 9.963 0 Td [(Integer)-250(indices.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in,)-250(inout)]TJ/F84 9.9626 Tf 38.735 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(or)-250(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +/F75 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q 1 0 0 1 120.408 545.895 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 123.397 545.696 Td [(a)]TJ +/F75 9.9626 Tf 123.397 545.696 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 28.343 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 24 0 Td [(required)]TJ/F62 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 28.343 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -50.231 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -62.983 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 312.397 497.875 Td [(desc)]TJ +/F131 9.9626 Tf 312.397 497.875 Td [(desc)]TJ ET q 1 0 0 1 333.945 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 337.084 497.875 Td [(type)]TJ +/F131 9.9626 Tf 337.084 497.875 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -19.925 Td [(iact)]TJ +/F75 9.9626 Tf -258.11 -19.925 Td [(iact)]TJ 0 g 0 G -/F62 9.9626 Tf 21.021 0 Td [(speci\002es)-250(action)-250(to)-250(be)-250(taken)-250(in)-250(case)-250(of)-250(range)-250(err)18(ors.)-310(Scope:)]TJ/F59 9.9626 Tf 253.796 0 Td [(global)]TJ/F62 9.9626 Tf -249.91 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(character)-190(variable)]TJ/F67 9.9626 Tf 143.341 0 Td [(I)]TJ/F62 9.9626 Tf 5.23 0 Td [(gnor)18(e,)]TJ/F67 9.9626 Tf 29.808 0 Td [(W)]TJ/F62 9.9626 Tf 5.231 0 Td [(arning)-190(or)]TJ/F67 9.9626 Tf 42.111 0 Td [(A)]TJ/F62 9.9626 Tf 5.231 0 Td [(bort,)-202(default)]TJ/F67 9.9626 Tf 55.839 0 Td [(I)]TJ/F62 9.9626 Tf 5.231 0 Td [(gnor)18(e.)]TJ +/F84 9.9626 Tf 21.021 0 Td [(speci\002es)-250(action)-250(to)-250(be)-250(taken)-250(in)-250(case)-250(of)-250(range)-250(err)18(ors.)-310(Scope:)]TJ/F75 9.9626 Tf 253.796 0 Td [(global)]TJ/F84 9.9626 Tf -250.219 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ 0.983 0 0 1 124.802 442.084 Tm [(Speci\002ed)-254(as:)-316(a)-254(character)-254(variable)]TJ/F131 9.9626 Tf 1 0 0 1 268.572 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 273.802 442.084 Tm [(gnor)18(e,)]TJ/F131 9.9626 Tf 1 0 0 1 303.613 442.084 Tm [(W)]TJ/F84 9.9626 Tf 0.983 0 0 1 308.843 442.084 Tm [(arning)-254(or)]TJ/F131 9.9626 Tf 1 0 0 1 351.499 442.084 Tm [(A)]TJ/F84 9.9626 Tf 0.983 0 0 1 356.729 442.084 Tm [(bort,)-254(default)]TJ/F131 9.9626 Tf 1 0 0 1 412.762 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 417.992 442.084 Tm [(gnor)18(e.)]TJ 0 g 0 G -/F59 9.9626 Tf -316.929 -21.918 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf 1 0 0 1 99.895 420.166 Tm [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(y)]TJ 0 g 0 G -/F62 9.9626 Tf 10.521 0 Td 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[(ence)-244(is)-245(the)-244(handling)-244(of)-244(ties)-244(\050i.e.)-309(items)-244(with)-244(an)-244(equal)-245(v)1(alue\051)-245(in)-244(the)-244(original)]TJ 0 -11.955 Td [(input.)-316(W)55(ith)-252(the)-252(mer)18(ge-sort)-252(algorithm)-252(ties)-252(ar)18(e)-252(pr)18(eserved)-252(in)-252(the)-252(same)-252(r)18(ela-)]TJ 0 -11.955 Td [(tive)-278(or)18(der)-278(as)-278(they)-278(had)-278(in)-278(the)-278(original)-278(sequence,)-285(while)-278(this)-278(is)-278(not)-278(guaran-)]TJ 0 -11.955 Td [(teed)-250(for)-250(quicksort)-250(or)-250(heapsort;)]TJ + 0.98 0 0 1 175.303 610.488 Tm [(The)-240(r)18(outines)-240(r)19(eturn)-241(the)-240(items)-240(in)-240(the)-240(chosen)-240(or)18(dering;)-245(the)-240(output)-240(dif)18(fer)18(ence)]TJ 0.98 0 0 1 175.611 598.532 Tm [(is)-256(the)-256(handling)-256(of)-256(ties)-256(\050i.e.)-318(items)-256(with)-256(an)-256(equal)-256(value\051)-256(in)-256(the)-256(original)-256(input.)]TJ 0.98 0 0 1 175.113 586.577 Tm [(W)56(ith)-225(the)-226(mer)18(ge-sort)-225(algorithm)-226(ties)-225(ar)18(e)-225(pr)18(eserved)-225(in)-226(the)-225(same)-226(r)18(el)1(ative)-226(or)18(der)]TJ 1.02 0 0 1 175.611 574.622 Tm [(as)-352(they)-351(had)-352(in)-352(the)-351(original)-352(sequence,)-378(while)-352(this)-351(is)-352(not)-352(guaranteed)-351(for)]TJ 1 0 0 1 175.333 562.667 Tm [(quicksort)-250(or)-250(heapsort;)]TJ 0 g 0 G - -12.453 -19.925 Td [(4.)]TJ + -12.175 -19.925 Td [(4.)]TJ 0 g 0 G - [-500(If)]TJ/F60 9.9626 Tf 22.66 0 Td [(f)-160(l)-70(a)-47(g)]TJ/F93 10.3811 Tf 20.72 0 Td [(=)]TJ/F60 9.9626 Tf 11.634 0 Td [(p)-25(s)-25(b)]TJ + 0.98 0 0 1 175.611 542.742 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 185.955 542.742 Tm [(f)-160(l)-70(a)-47(g)]TJ/F181 10.3811 Tf 20.72 0 Td [(=)]TJ/F78 9.9626 Tf 11.634 0 Td [(p)-25(s)-25(b)]TJ ET q -1 0 0 1 232.862 542.941 cm +1 0 0 1 232.999 542.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F60 9.9626 Tf 235.975 542.742 Td [(s)-25(o)-25(r)-35(t)]TJ +/F78 9.9626 Tf 236.112 542.742 Td [(s)-25(o)-25(r)-35(t)]TJ ET q -1 0 0 1 253.036 542.941 cm +1 0 0 1 253.173 542.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F60 9.9626 Tf 256.149 542.742 Td [(o)-35(v)-25(w)]TJ +/F78 9.9626 Tf 256.286 542.742 Td [(o)-35(v)-25(w)]TJ ET q -1 0 0 1 274.067 542.941 cm +1 0 0 1 274.204 542.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F60 9.9626 Tf 277.11 542.742 Td [(i)-32(d)-42(x)]TJ +/F78 9.9626 Tf 277.248 542.742 Td [(i)-32(d)-42(x)]TJ ET q -1 0 0 1 291.402 542.941 cm +1 0 0 1 291.539 542.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 296.503 542.742 Td [(then)-212(the)-212(entries)-212(in)]TJ/F60 9.9626 Tf 80.283 0 Td [(i)-49(x)]TJ/F93 10.3811 Tf 8.588 0 Td [(\050)]TJ/F62 9.9626 Tf 4.149 0 Td [(1)-290(:)]TJ/F60 9.9626 Tf 13.381 0 Td [(n)]TJ/F93 10.3811 Tf 5.788 0 Td [(\051)]TJ/F62 9.9626 Tf 6.262 0 Td [(wher)18(e)]TJ/F60 9.9626 Tf 29.644 0 Td [(n)]TJ/F62 9.9626 Tf 7.776 0 Td [(is)-212(the)-212(size)]TJ -276.762 -11.956 Td [(of)]TJ/F60 9.9626 Tf 12.255 0 Td [(x)]TJ/F62 9.9626 Tf 8.411 0 Td [(ar)18(e)-322(initialized)-321(to)]TJ/F60 9.9626 Tf 76.228 0 Td [(i)-49(x)]TJ/F93 10.3811 Tf 8.588 0 Td [(\050)]TJ/F60 9.9626 Tf 4.204 0 Td [(i)]TJ/F93 10.3811 Tf 3.088 0 Td [(\051)]TJ/F91 10.3811 Tf 8.364 0 Td [(\040)]TJ/F60 9.9626 Tf 14.651 0 Td [(i)]TJ/F62 9.9626 Tf 2.963 0 Td [(;)-358(thus,)-339(upon)-322(r)18(eturn)-321(fr)18(om)-322(the)-322(subr)18(outine,)]TJ -138.753 -11.955 Td [(for)-270(each)-271(index)]TJ/F60 9.9626 Tf 65.501 0 Td [(i)]TJ/F62 9.9626 Tf 5.657 0 Td [(we)-270(have)-271(in)]TJ/F60 9.9626 Tf 51.095 0 Td [(i)-49(x)]TJ/F93 10.3811 Tf 8.587 0 Td [(\050)]TJ/F60 9.9626 Tf 4.205 0 Td [(i)]TJ/F93 10.3811 Tf 3.088 0 Td [(\051)]TJ/F62 9.9626 Tf 6.843 0 Td [(the)-270(position)-271(that)-270(the)-270(item)]TJ/F60 9.9626 Tf 114.324 0 Td [(x)]TJ/F93 10.3811 Tf 5.33 0 Td [(\050)]TJ/F60 9.9626 Tf 4.204 0 Td [(i)]TJ/F93 10.3811 Tf 3.088 0 Td [(\051)]TJ/F62 9.9626 Tf 6.844 0 Td [(occupied)]TJ -278.766 -11.955 Td [(in)-250(the)-250(original)-250(data)-250(sequence;)]TJ +/F84 9.9626 Tf 0.98 0 0 1 296.91 542.742 Tm [(then)-244(the)-244(entries)-244(in)]TJ/F78 9.9626 Tf 1 0 0 1 376.841 542.742 Tm [(i)-49(x)]TJ/F181 10.3811 Tf 8.588 0 Td [(\050)]TJ/F84 9.9626 Tf 0.98 0 0 1 389.578 542.742 Tm [(1)]TJ 1 0 0 1 397.352 542.742 Tm [(:)]TJ/F78 9.9626 Tf 5.507 0 Td [(n)]TJ/F181 10.3811 Tf 5.788 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 415.179 542.742 Tm [(wher)18(e)]TJ/F78 9.9626 Tf 1 0 0 1 444.542 542.742 Tm [(n)]TJ/F84 9.9626 Tf 0.98 0 0 1 452.589 542.742 Tm [(is)-244(the)-244(size)]TJ 0.984 0 0 1 175.611 530.786 Tm [(of)]TJ/F78 9.9626 Tf 1 0 0 1 187.015 530.786 Tm [(x)]TJ/F84 9.9626 Tf 0.984 0 0 1 194.714 530.786 Tm [(ar)18(e)-254(initialized)-254(to)]TJ/F78 9.9626 Tf 1 0 0 1 267.739 530.786 Tm [(i)-49(x)]TJ/F181 10.3811 Tf 8.587 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F181 10.3811 Tf 3.089 0 Td [(\051)]TJ/F179 10.3811 Tf 7.045 0 Td [(\040)]TJ/F78 9.9626 Tf 13.332 0 Td [(i)]TJ/F84 9.9626 Tf 0.984 0 0 1 306.96 530.786 Tm [(;)-254(thus,)-255(upon)-254(r)18(eturn)-254(fr)18(om)-254(the)-254(subr)18(outine,)-254(for)]TJ 1.02 0 0 1 175.611 518.831 Tm [(each)-260(index)]TJ/F78 9.9626 Tf 1 0 0 1 226.513 518.831 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 232.117 518.831 Tm [(we)-260(have)-260(in)]TJ/F78 9.9626 Tf 1 0 0 1 283.912 518.831 Tm [(i)-49(x)]TJ/F181 10.3811 Tf 8.587 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F181 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 306.582 518.831 Tm [(the)-260(position)-260(that)-259(the)-260(item)]TJ/F78 9.9626 Tf 1 0 0 1 422.652 518.831 Tm [(x)]TJ/F181 10.3811 Tf 5.329 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F181 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 442.064 518.831 Tm [(occupied)-260(in)]TJ 1 0 0 1 175.611 506.876 Tm [(the)-250(original)-250(data)-250(sequence;)]TJ 0 g 0 G -12.453 -19.925 Td [(5.)]TJ 0 g 0 G - [-500(If)]TJ/F60 9.9626 Tf 24.08 0 Td [(f)-160(l)-70(a)-47(g)]TJ/F93 10.3811 Tf 22.648 0 Td [(=)]TJ/F60 9.9626 Tf 13.563 0 Td [(p)-25(s)-25(b)]TJ + 1.02 0 0 1 175.611 486.951 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 187.101 486.951 Tm [(f)-160(l)-70(a)-47(g)]TJ/F181 10.3811 Tf 22.146 0 Td [(=)]TJ/F78 9.9626 Tf 13.061 0 Td [(p)-25(s)-25(b)]TJ ET q -1 0 0 1 238.138 487.15 cm +1 0 0 1 236.998 487.15 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F60 9.9626 Tf 241.252 486.951 Td [(s)-25(o)-25(r)-35(t)]TJ +/F78 9.9626 Tf 240.111 486.951 Td [(s)-25(o)-25(r)-35(t)]TJ ET q -1 0 0 1 258.312 487.15 cm +1 0 0 1 257.172 487.15 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F60 9.9626 Tf 261.426 486.951 Td [(k)-30(e)-25(e)-80(p)]TJ +/F78 9.9626 Tf 260.285 486.951 Td [(k)-30(e)-25(e)-80(p)]TJ ET q -1 0 0 1 280.648 487.15 cm +1 0 0 1 279.508 487.15 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F60 9.9626 Tf 283.692 486.951 Td [(i)-32(d)-42(x)]TJ +/F78 9.9626 Tf 282.552 486.951 Td [(i)-32(d)-42(x)]TJ ET q -1 0 0 1 297.983 487.15 cm +1 0 0 1 296.843 487.15 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 304.504 486.951 Td [(the)-355(r)18(ou)1(tine)-355(will)-354(assume)-355(that)-355(th)1(e)-355(entries)-355(i)1(n)]TJ/F60 9.9626 Tf -128.838 -11.955 Td [(i)-49(x)]TJ/F93 10.3811 Tf 8.588 0 Td [(\050)]TJ/F62 9.9626 Tf 4.274 0 Td [(:)]TJ/F93 10.3811 Tf 2.74 0 Td [(\051)]TJ/F62 9.9626 Tf 6.64 0 Td [(have)-250(alr)18(eady)-250(been)-250(initialized)-250(by)-250(the)-250(user;)]TJ +/F84 9.9626 Tf 1.02 0 0 1 303.093 486.951 Tm [(the)-321(r)18(outine)-321(will)-321(assume)-321(that)-321(the)-321(entries)-321(in)]TJ/F78 9.9626 Tf 1 0 0 1 175.666 474.996 Tm [(i)-49(x)]TJ/F181 10.3811 Tf 8.588 0 Td [(\050)]TJ/F84 9.9626 Tf 4.274 0 Td [(:)]TJ/F181 10.3811 Tf 2.74 0 Td [(\051)]TJ/F84 9.9626 Tf 6.64 0 Td [(have)-250(alr)18(eady)-250(been)-250(initialized)-250(by)-250(the)-250(user;)]TJ 0 g 0 G -34.75 -19.926 Td [(6.)]TJ 0 g 0 G - [-500(The)-270(thr)18(ee)-269(sorting)-270(algorithms)-269(have)-270(a)-269(similar)]TJ/F60 9.9626 Tf 205.79 0 Td [(O)]TJ/F93 10.3811 Tf 8 0 Td [(\050)]TJ/F60 9.9626 Tf 4.274 0 Td [(n)]TJ/F62 9.9626 Tf 7.324 0 Td [(log)]TJ/F60 9.9626 Tf 15.663 0 Td [(n)]TJ/F93 10.3811 Tf 5.788 0 Td [(\051)]TJ/F62 9.9626 Tf 6.835 0 Td [(expected)-270(r)8(unning)]TJ -241.221 -11.955 Td [(time;)-278(in)-268(the)-268(average)-269(case)-268(quicksort)-268(will)-269(be)-268(the)-268(fastest)-269(and)-268(mer)18(ge-sort)-268(the)]TJ 0 -11.955 Td [(slowest.)-310(However)-250(note)-250(that:)]TJ + 1.008 0 0 1 175.303 455.07 Tm [(The)-249(thr)18(ee)-249(sorti)1(ng)-249(algorithms)-249(have)-249(a)-248(similar)]TJ/F78 9.9626 Tf 1 0 0 1 368.724 455.07 Tm [(O)]TJ/F181 10.3811 Tf 8 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F84 9.9626 Tf 7.324 0 Td [(log)]TJ/F78 9.9626 Tf 15.663 0 Td [(n)]TJ/F181 10.3811 Tf 5.788 0 Td [(\051)]TJ/F84 9.9626 Tf 1.008 0 0 1 416.42 455.07 Tm [(expected)-249(r)8(unning)]TJ 1.008 0 0 1 175.611 443.115 Tm [(time;)-248(in)-248(the)-248(average)-248(case)-248(quicksort)-248(will)-247(be)-248(the)-248(fastest)-248(and)-248(mer)18(ge-sort)-248(the)]TJ 1 0 0 1 175.611 431.16 Tm [(slowest.)-310(However)-250(note)-250(that:)]TJ 0 g 0 G 5.321 -19.925 Td [(\050a\051)]TJ 0 g 0 G - [-500(The)-336(worst)-336(case)-336(r)8(unning)-336(time)-336(for)-337(quicksort)-336(is)]TJ/F60 9.9626 Tf 220.017 0 Td [(O)]TJ/F93 10.3811 Tf 8 0 Td [(\050)]TJ/F60 9.9626 Tf 4.274 0 Td [(n)]TJ/F62 7.5716 Tf 5.664 3.616 Td [(2)]TJ/F93 10.3811 Tf 4.408 -3.616 Td [(\051)]TJ/F62 9.9626 Tf 4.15 0 Td [(;)-379(the)-336(algorithm)]TJ -229.916 -11.955 Td [(implemented)-293(her)18(e)-293(follows)-293(the)-292(well-known)-293(median-of-thr)18(ee)-293(heuris-)]TJ 0 -11.956 Td [(tics,)-250(but)-250(the)-250(worst)-250(case)-250(may)-250(still)-250(apply;)]TJ + 0.98 0 0 1 197.22 411.235 Tm [(The)-241(worst)-240(case)-241(r)8(unning)-241(time)-240(for)-241(quicksort)-241(is)]TJ/F78 9.9626 Tf 1 0 0 1 389.116 411.235 Tm [(O)]TJ/F181 10.3811 Tf 8 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F84 7.5716 Tf 5.663 3.616 Td [(2)]TJ/F181 10.3811 Tf 4.409 -3.616 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 415.611 411.235 Tm [(;)-246(the)-240(algorithm)-241(im-)]TJ 1.007 0 0 1 197.23 399.28 Tm [(plemented)-246(her)18(e)-246(follows)-246(the)-246(well-known)-246(median-of-thr)18(ee)-246(heuristics,)]TJ 1 0 0 1 197.529 387.324 Tm [(but)-250(the)-250(worst)-250(case)-250(may)-250(still)-250(apply;)]TJ 0 g 0 G -17.125 -15.94 Td [(\050b\051)]TJ 0 g 0 G - [-500(The)-190(worst)-190(case)-190(r)8(unning)-190(time)-190(for)-190(mer)18(ge-sort)-190(and)-190(heap-sort)-190(is)]TJ/F60 9.9626 Tf 277.76 0 Td [(O)]TJ/F93 10.3811 Tf 8 0 Td [(\050)]TJ/F60 9.9626 Tf 4.274 0 Td [(n)]TJ/F62 9.9626 Tf 7.324 0 Td [(log)]TJ/F60 9.9626 Tf 15.663 0 Td [(n)]TJ/F93 10.3811 Tf 5.788 0 Td [(\051)]TJ/F62 9.9626 Tf -301.684 -11.955 Td [(as)-250(the)-250(average)-250(case;)]TJ + 0.98 0 0 1 197.22 371.384 Tm [(The)-194(worst)-194(case)-194(r)9(unning)-194(time)-194(for)-194(mer)18(ge-sort)-194(and)-193(heap-sort)-194(is)]TJ/F78 9.9626 Tf 1 0 0 1 453.014 371.384 Tm [(O)]TJ/F181 10.3811 Tf 8 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F84 9.9626 Tf 7.324 0 Td [(log)]TJ/F78 9.9626 Tf 15.662 0 Td [(n)]TJ/F181 10.3811 Tf 5.789 0 Td [(\051)]TJ/F84 9.9626 Tf -296.534 -11.955 Td [(as)-250(the)-250(average)-250(case;)]TJ 0 g 0 G - -16.04 -15.94 Td [(\050c\051)]TJ + -16.039 -15.94 Td [(\050c\051)]TJ 0 g 0 G - [-500(The)-244(mer)18(ge-sort)-244(algorithm)-243(is)-244(implemented)-244(to)-244(take)-244(advantage)-243(of)-244(sub-)]TJ 16.04 -11.955 Td [(sequences)-314(that)-313(may)-314(be)-314(alr)18(eady)-314(in)-313(the)-314(desir)18(ed)-314(or)18(dering)-314(prior)-313(to)-314(the)]TJ 0 -11.956 Td [(subr)18(outine)-390(call;)-459(this)-390(situation)-389(is)-390(r)18(elatively)-390(common)-389(when)-390(dealing)]TJ 0 -11.955 Td 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9.9626 Tf 2.964 0 Td [(,)-249(the)-249(output)]TJ/F60 9.9626 Tf 53.71 0 Td [(r)-17(e)-25(s)]TJ/F62 9.9626 Tf -306.635 -11.955 Td [(is)-250(equivalent)-250(to)-250(the)-250(computation)-250(of)]TJ/F60 9.9626 Tf 124.796 -25.468 Td [(r)-17(e)-25(s)]TJ/F93 10.3811 Tf 15.061 0 Td [(=)]TJ/F17 9.9626 Tf 11.086 10.922 Td [(r)]TJ + 0.999 0 0 1 124.802 516.839 Tm [(Denoting)-251(by)]TJ/F78 9.9626 Tf 1 0 0 1 182.12 516.839 Tm [(d)-40(a)-25(t)]TJ/F78 7.5716 Tf 13.536 -1.96 Td [(i)]TJ/F84 9.9626 Tf 0.999 0 0 1 200.903 516.839 Tm [(the)-251(value)-251(of)-250(the)-251(variable)]TJ/F78 9.9626 Tf 1 0 0 1 309.7 516.839 Tm [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 0.999 0 0 1 325.691 516.839 Tm [(on)-251(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 374.759 516.839 Tm [(i)]TJ/F84 9.9626 Tf 0.999 0 0 1 377.722 516.839 Tm [(,)-251(the)-251(output)]TJ/F78 9.9626 Tf 1 0 0 1 431.437 516.839 Tm [(r)-17(e)-25(s)]TJ/F84 9.9626 Tf -306.635 -11.955 Td [(is)-250(equivalent)-250(to)-250(the)-250(computation)-250(of)]TJ/F78 9.9626 Tf 124.796 -25.468 Td [(r)-17(e)-25(s)]TJ/F181 10.3811 Tf 15.061 0 Td [(=)]TJ/F17 9.9626 Tf 11.086 10.922 Td [(r)]TJ ET q 1 0 0 1 285.832 490.532 cm []0 d 0 J 0.389 w 0 0 m 30.512 0 l S Q BT -/F104 13.9477 Tf 285.957 477.344 Td [(\345)]TJ/F60 7.5716 Tf 4.245 -8.764 Td [(i)]TJ/F60 9.9626 Tf 8.364 10.836 Td [(d)-40(a)-25(t)]TJ/F62 7.5716 Tf 13.495 3.473 Td [(2)]TJ/F60 7.5716 Tf 0.041 -7.027 Td [(i)]TJ/F62 9.9626 Tf 4.243 3.554 Td [(,)]TJ -191.543 -30.806 Td [(with)-250(car)18(e)-250(taken)-250(to)-250(avoid)-250(unnecessary)-250(over\003ow)92(.)]TJ +/F241 13.9477 Tf 285.957 477.344 Td [(\345)]TJ/F78 7.5716 Tf 4.245 -8.764 Td [(i)]TJ/F78 9.9626 Tf 8.364 10.836 Td [(d)-40(a)-25(t)]TJ/F84 7.5716 Tf 13.495 3.473 Td [(2)]TJ/F78 7.5716 Tf 0.041 -7.027 Td [(i)]TJ/F84 9.9626 Tf 4.243 3.554 Td [(,)]TJ -191.961 -30.806 Td [(with)-250(car)18(e)-250(taken)-250(to)-250(avoid)-250(unnecessary)-250(over\003ow)92(.)]TJ 0 g 0 G - -12.453 -19.926 Td [(3.)]TJ + -12.035 -19.926 Td [(3.)]TJ 0 g 0 G - [-500(The)]TJ/F67 9.9626 Tf 31.023 0 Td [(dat)]TJ/F62 9.9626 Tf 17.584 0 Td [(ar)18(gument)-190(is)-190(both)-190(input)-190(and)-190(output,)-202(and)-190(its)-190(value)-190(may)-190(be)-190(changed)]TJ -36.154 -11.955 Td [(even)-250(on)-250(pr)18(ocesses)-250(dif)18(fer)18(ent)-250(fr)18(om)-250(the)-250(\002nal)-250(r)18(esult)-250(destination.)]TJ + 0.98 0 0 1 124.493 428.684 Tm [(The)]TJ/F131 9.9626 Tf 1 0 0 1 143.184 428.684 Tm [(dat)]TJ/F84 9.9626 Tf 0.98 0 0 1 161.222 428.684 Tm [(ar)18(gument)-240(is)-240(both)-241(input)-240(and)-241(output,)-243(and)-240(its)-241(value)-240(may)-241(be)-240(changed)]TJ 1 0 0 1 124.802 416.729 Tm [(even)-250(on)-250(pr)18(ocesses)-250(dif)18(fer)18(ent)-250(fr)18(om)-250(the)-250(\002nal)-250(r)18(esult)-250(destination.)]TJ 0 g 0 G -12.453 -19.925 Td [(4.)]TJ 0 g 0 G - [-500(The)]TJ/F67 9.9626 Tf 32.225 0 Td [(mode)]TJ/F62 9.9626 Tf 24.015 0 Td [(ar)18(gument)-311(can)-310(be)-311(built)-310(with)-311(the)-310(bitwise)]TJ/F67 9.9626 Tf 176.537 0 Td [(IOR\050\051)]TJ/F62 9.9626 Tf 29.246 0 Td [(operator;)-341(in)-310(the)]TJ -249.57 -11.955 Td [(following)-203(example,)-213(the)-204(ar)18(gument)-203(is)-204(for)18(cing)-203(immediate)-203(completion,)-213(hence)]TJ 0 -11.955 Td [(the)]TJ/F67 9.9626 Tf 16.309 0 Td [(request)]TJ/F62 9.9626 Tf 39.103 0 Td [(ar)18(gument)-250(needs)-250(not)-250(be)-250(speci\002ed:)]TJ + 1.02 0 0 1 124.493 396.804 Tm [(The)]TJ/F131 9.9626 Tf 1 0 0 1 144.248 396.804 Tm [(mode)]TJ/F84 9.9626 Tf 1.02 0 0 1 167.913 396.804 Tm [(ar)18(gument)-270(can)-270(be)-270(built)-270(with)-270(the)-270(bitwise)]TJ/F131 9.9626 Tf 1 0 0 1 345.098 396.804 Tm [(IOR\050\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 373.994 396.804 Tm [(operator;)-282(in)-270(the)]TJ 0.988 0 0 1 124.802 384.849 Tm [(following)-254(example,)-255(the)-254(ar)18(gument)-254(is)-255(for)18(cing)-254(immediate)-254(completion,)-255(hence)]TJ 1 0 0 1 124.802 372.894 Tm [(the)]TJ/F131 9.9626 Tf 16.309 0 Td [(request)]TJ/F84 9.9626 Tf 39.103 0 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[(When)-250(splitting)-250(the)-250(operation)-250(in)-250(two)-249(calls,)-252(the)]TJ/F131 9.9626 Tf 1 0 0 1 329.071 303.155 Tm [(dat)]TJ/F84 9.9626 Tf 1.02 0 0 1 347.302 303.155 Tm [(ar)18(gument)]TJ/F78 9.9626 Tf 1.02 0 0 1 393.602 303.155 Tm [(must)-250(not)]TJ/F84 9.9626 Tf 1.02 0 0 1 433.12 303.155 Tm [(be)]TJ 1 0 0 1 124.802 291.2 Tm [(accessed)-250(between)-250(calls:)]TJ 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG ET @@ -24242,7 +24242,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F102 8.9664 Tf 127.791 268.585 Td [(call)]TJ +/F231 8.9664 Tf 127.791 268.585 Td [(call)]TJ 0 g 0 G [-525(psb_nrm2\050ctxt,dat,mode)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG @@ -24265,12 +24265,12 @@ BT 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G 0.38 0.63 0.69 rg 0.38 0.63 0.69 RG -/F120 8.9664 Tf 37.659 0 Td [(!)-525(Do)-525(not)-525(access)-525(dat)]TJ +/F279 8.9664 Tf 37.659 0 Td [(!)-525(Do)-525(not)-525(access)-525(dat)]TJ 0 g 0 G 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F102 8.9664 Tf -37.659 -10.959 Td [(call)]TJ +/F231 8.9664 Tf -37.659 -10.959 Td [(call)]TJ 0 g 0 G [-525(psb_nrm2\050ctxt,dat,mode)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG @@ -24290,152 +24290,152 @@ BT 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0 g 0 G 0 g 0 G -/F62 9.9626 Tf 103.537 -134.311 Td [(133)]TJ +/F84 9.9626 Tf 103.537 -134.311 Td [(133)]TJ 0 g 0 G ET endstream endobj -1864 0 obj +1867 0 obj << -/Length 5352 +/Length 5627 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(7.16)-1000(psb)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(7.16)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 207.803 706.129 Td [(snd)-250(\227)-250(Send)-250(data)]TJ +/F75 11.9552 Tf 207.803 706.129 Td [(snd)-250(\227)-250(Send)-250(data)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_snd\050ctxt,)-525(dat,)-525(dst,)-525(m\051)]TJ/F62 9.9626 Tf 14.944 -21.918 Td 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9.9626 Tf 197.687 0 Td [(m)]TJ/F62 9.9626 Tf 10.021 0 Td [(is)-215(not)-216(speci\002ed,)-222(size)-215(must)]TJ -207.708 -11.955 Td [(agr)18(ee)-250(as)-250(well.)]TJ/F59 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F84 9.9626 Tf 19.059 0 Td [(The)-250(data)-250(to)-250(be)-250(r)18(eceived.)]TJ 5.848 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -53.32 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf 39.293 0 Td [(.)]TJ -66.072 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ 1.013 0 0 1 124.802 284.674 Tm [(Speci\002ed)-247(as:)-308(an)-247(integer)73(,)-248(r)18(eal)-248(or)-247(complex)-247(variable,)-248(which)-248(may)-247(be)-247(a)-248(scalar)73(,)]TJ 0.984 0 0 1 124.802 272.719 Tm [(or)-254(a)-254(rank)-255(1)-254(or)-254(2)-254(array)113(,)-255(or)-254(a)-254(character)-254(or)-254(logical)-254(scalar)75(.)-570(T)92(ype,)-255(kind)-254(and)-254(rank)]TJ 0.985 0 0 1 124.802 260.764 Tm [(must)-253(agr)18(ee)-253(on)-254(sender)-253(and)-254(r)19(eceiver)-254(pr)19(ocess;)-254(if)]TJ/F78 9.9626 Tf 1 0 0 1 322.39 260.764 Tm [(m)]TJ/F84 9.9626 Tf 0.985 0 0 1 332.752 260.764 Tm [(is)-253(not)-254(speci\002ed,)-253(size)-254(must)]TJ 1 0 0 1 124.802 248.809 Tm [(agr)18(ee)-250(as)-250(well.)]TJ/F75 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F62 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F84 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(This)-292(subr)18(outine)-291(implies)-292(a)-292(synchr)18(onization,)-302(but)-292(only)-292(between)-291(the)-292(calling)]TJ 12.453 -11.955 Td [(pr)18(ocess)-250(and)-250(the)-250(sour)18(ce)-250(pr)18(ocess)]TJ/F60 9.9626 Tf 137.538 0 Td [(s)-15(r)-17(c)]TJ/F62 9.9626 Tf 12.249 0 Td [(.)]TJ + 1.014 0 0 1 124.493 206.966 Tm [(This)-247(subr)18(outine)-248(impl)1(ies)-248(a)-247(synchr)18(onization,)-247(but)-247(only)-248(between)-247(the)-247(calling)]TJ 1 0 0 1 124.503 195.011 Tm [(pr)18(ocess)-250(and)-250(the)-250(sour)18(ce)-250(pr)18(ocess)]TJ/F78 9.9626 Tf 137.538 0 Td [(s)-15(r)-17(c)]TJ/F84 9.9626 Tf 12.249 0 Td [(.)]TJ 0 g 0 G - -10.31 -104.573 Td [(135)]TJ + -10.011 -104.573 Td [(135)]TJ 0 g 0 G ET endstream endobj -1876 0 obj +1879 0 obj << -/Length 6241 +/Length 6891 >> stream 0 g 0 G 0 g 0 G BT -/F59 14.3462 Tf 150.705 705.784 Td [(8)-1000(Error)-250(handling)]TJ/F62 9.9626 Tf 0 -22.702 Td [(The)-382(PSBLAS)-382(library)-381(err)18(or)-382(handling)-382(policy)-382(has)-382(been)-382(comple)1(tely)-382(r)18(ewritten)-382(in)]TJ 0 -11.955 Td [(version)-359(2.0.)-638(The)-359(idea)-359(behind)-360(the)-359(design)-359(of)-359(this)-359(new)-360(err)18(or)-359(handling)-359(strategy)]TJ 0 -11.955 Td [(is)-303(to)-303(keep)-303(err)18(or)-303(messages)-303(on)-303(a)-303(stack)-303(allowing)-303(the)-303(user)-303(to)-303(trace)-303(back)-303(up)-303(to)-303(the)]TJ 0 -11.955 Td [(point)-317(wher)18(e)-318(the)-317(\002rst)-317(err)18(or)-318(message)-317(has)-318(been)-317(generated.)-512(Every)-317(r)18(outine)-318(in)-317(the)]TJ 0 -11.956 Td [(PSBLAS-2.0)-336(library)-336(has,)-358(as)-336(last)-337(non-optional)-336(ar)18(gument,)-358(an)-336(integer)]TJ/F67 9.9626 Tf 298.678 0 Td [(info)]TJ/F62 9.9626 Tf 24.271 0 Td [(vari-)]TJ -322.949 -11.955 Td [(able;)-364(whenever)74(,)-344(inside)-326(the)-326(r)18(outine,)-345(an)-326(err)18(or)-325(is)-326(detected,)-345(this)-326(variable)-326(is)-325(set)-326(to)]TJ 0 -11.955 Td [(a)-384(value)-384(corr)18(esponding)-384(to)-384(a)-384(speci\002c)-384(err)18(or)-384(code.)-711(Then)-384(this)-384(err)18(or)-384(code)-384(is)-384(also)]TJ 0 -11.955 Td [(pushed)-274(on)-273(the)-274(err)18(or)-274(stack)-274(and)-273(then)-274(either)-274(contr)18(ol)-274(is)-273(r)18(eturned)-274(to)-274(the)-273(caller)-274(r)18(ou-)]TJ 0 -11.955 Td [(tine)-342(or)-342(the)-342(execution)-343(is)-342(aborted,)-365(depending)-342(on)-342(the)-342(users)-342(choice.)-587(At)-342(the)-342(time)]TJ 0 -11.955 Td [(when)-243(the)-242(execution)-243(is)-242(aborted,)-244(an)-243(err)18(or)-242(message)-243(is)-243(p)1(rinted)-243(on)-243(standar)18(d)-242(output)]TJ 0 -11.956 Td [(with)-257(a)-256(level)-257(of)-256(verbosity)-257(than)-256(can)-257(be)-256(chosen)-257(by)-257(the)-256(user)74(.)-330(If)-256(the)-257(execution)-257(is)-256(not)]TJ 0 -11.955 Td [(aborted,)-259(then,)-259(the)-257(caller)-257(r)18(outine)-258(checks)-257(the)-257(value)-257(r)18(eturned)-257(in)-258(the)]TJ/F67 9.9626 Tf 284.621 0 Td [(info)]TJ/F62 9.9626 Tf 23.484 0 Td [(variable)]TJ -308.105 -11.955 Td [(and,)-290(if)-282(not)-282(zer)18(o,)-291(an)-282(err)18(or)-282(condition)-282(is)-282(raised.)-407(This)-282(pr)18(ocess)-282(continues)-282(on)-282(all)-282(the)]TJ 0 -11.955 Td [(levels)-203(of)-203(nested)-203(calls)-203(until)-203(the)-203(level)-203(wher)18(e)-202(the)-203(user)-203(decides)-203(to)-203(abort)-203(the)-203(pr)18(ogram)]TJ 0 -11.955 Td [(execution.)]TJ 14.944 -11.955 Td [(Figur)18(e)]TJ +/F75 14.3462 Tf 150.705 705.784 Td [(8)-1000(Error)-250(handling)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.396 683.082 Tm [(The)-317(PSBLAS)-317(library)-317(err)17(or)-317(handling)-317(policy)-317(has)-317(been)-317(completely)-318(r)18(ewritten)-317(in)]TJ 1.02 0 0 1 150.426 671.127 Tm [(version)-315(2.0.)-513(The)-315(idea)-315(behind)-315(the)-315(design)-315(of)-315(this)-315(new)-315(err)18(or)-315(handling)-315(strategy)]TJ 1.02 0 0 1 150.705 659.172 Tm [(is)-261(to)-260(keep)-261(err)18(or)-261(messages)-261(on)-261(a)-260(stack)-261(allowing)-261(the)-260(user)-261(to)-261(trace)-261(back)-260(up)-261(to)-261(the)]TJ 1.02 0 0 1 150.406 647.217 Tm [(point)-270(wher)17(e)-270(the)-271(\002rst)-270(err)17(or)-270(message)-270(has)-271(been)-270(generated.)-380(Every)-271(r)18(outine)-271(in)-270(the)]TJ 0.98 0 0 1 150.705 635.261 Tm [(PSBLAS-2.0)-245(library)-245(has,)-247(as)-245(last)-245(non-optional)-245(ar)18(gument,)-247(an)-245(integer)]TJ/F131 9.9626 Tf 1 0 0 1 435.013 635.261 Tm [(info)]TJ/F84 9.9626 Tf 0.98 0 0 1 458.327 635.261 Tm [(variable;)]TJ 1 0 0 1 150.286 623.306 Tm [(whenever)74(,)-251(inside)-250(the)-251(r)18(outine,)-250(an)-251(err)18(or)-250(is)-251(detected,)-250(this)-251(variable)-250(is)-251(set)-250(to)-251(a)-250(value)]TJ 1.02 0 0 1 150.705 611.351 Tm [(corr)18(esponding)-337(to)-336(a)-337(speci\002c)-336(err)17(or)-336(code.)-578(Then)-337(this)-336(err)17(or)-336(code)-337(is)-336(also)-337(pushed)]TJ 1.02 0 0 1 150.705 599.396 Tm [(on)-299(the)-299(err)17(or)-299(stack)-299(and)-299(then)-299(either)-299(contr)17(ol)-299(is)-299(r)18(eturned)-299(to)-300(the)-299(caller)-299(r)18(outine)-299(or)]TJ 1.005 0 0 1 150.705 587.441 Tm [(the)-249(execution)-249(is)-249(aborted,)-249(depending)-249(on)-250(the)-249(users)-249(choice.)-309(At)-249(the)-249(time)-249(when)-249(the)]TJ 0.98 0 0 1 150.705 575.486 Tm [(execution)-218(is)-218(aborted,)-226(an)-218(err)19(or)-219(message)-218(is)-218(printed)-218(on)-218(standar)18(d)-218(output)-218(with)-218(a)-218(level)]TJ 0.98 0 0 1 150.705 563.53 Tm [(of)-247(verbosity)-247(than)-246(can)-247(be)-247(chosen)-247(by)-247(the)-246(user)75(.)-313(If)-247(the)-247(execution)-247(is)-247(not)-246(aborted,)-249(then,)]TJ 0.98 0 0 1 150.705 551.575 Tm [(the)-256(caller)-256(r)18(outine)-256(checks)-256(the)-256(value)-256(r)18(eturned)-256(in)-256(the)]TJ/F131 9.9626 Tf 1 0 0 1 367.074 551.575 Tm [(info)]TJ/F84 9.9626 Tf 0.98 0 0 1 390.496 551.575 Tm [(variable)-256(and,)-257(if)-256(not)-256(zer)19(o,)]TJ 1.02 0 0 1 150.705 539.62 Tm [(an)-247(err)17(or)-247(condition)-247(is)-247(raised.)-311(This)-247(pr)18(ocess)-247(continues)-248(on)-247(all)-247(the)-247(levels)-247(of)-248(nested)]TJ 1 0 0 1 150.705 527.665 Tm [(calls)-250(until)-250(the)-250(level)-250(wher)18(e)-250(the)-250(user)-250(decides)-250(to)-250(abort)-250(the)-250(pr)18(ogram)-250(execution.)]TJ 1.018 0 0 1 165.649 515.71 Tm [(Figur)18(e)]TJ 0 0 1 rg 0 0 1 RG - [-286(5)]TJ + [-246(5)]TJ 0 g 0 G - [-285(shows)-286(the)-286(layou)1(t)-286(of)-286(a)-285(generic)]TJ/F67 9.9626 Tf 172.064 0 Td [(psb_foo)]TJ/F62 9.9626 Tf 39.458 0 Td [(r)18(outine)-286(with)-285(r)18(espect)-286(to)-286(the)]TJ -226.466 -11.956 Td [(PSBLAS-2.0)-258(err)18(or)-259(handling)-258(policy)111(.)-335(It)-258(is)-258(possible)-259(to)-258(see)-258(how)92(,)-261(whenever)-258(an)-258(err)18(or)]TJ 0 -11.955 Td [(condition)-298(is)-298(detected,)-311(the)]TJ/F67 9.9626 Tf 114.879 0 Td [(info)]TJ/F62 9.9626 Tf 23.893 0 Td [(variable)-298(is)-299(set)-298(to)-298(the)-298(corr)18(esponding)-299(err)18(or)-298(code)]TJ -138.772 -11.955 Td [(which)-309(is,)-324(then,)-324(pushed)-310(on)-309(top)-309(of)-310(the)-309(stack)-309(by)-309(means)-310(of)-309(the)]TJ/F67 9.9626 Tf 265.277 0 Td [(psb_errpush)]TJ/F62 9.9626 Tf 57.534 0 Td [(.)-488(An)]TJ -322.811 -11.955 Td [(err)18(or)-325(condition)-326(may)-325(be)-326(dir)18(ectl)1(y)-326(detected)-325(inside)-326(a)-325(r)18(outine)-325(or)-326(indir)18(ectly)-325(check-)]TJ 0 -11.955 Td [(ing)-331(the)-331(err)18(or)-331(code)-331(r)18(eturned)-331(r)18(eturned)-331(by)-331(a)-331(called)-331(r)18(outine.)-553(Whenever)-331(an)-331(err)18(or)]TJ 0 -11.956 Td [(is)-253(encounter)18(ed,)-255(after)-253(it)-254(has)-253(been)-254(pushed)-253(on)-254(st)1(ack,)-255(the)-253(pr)18(ogram)-254(execution)-253(skips)]TJ 0 -11.955 Td [(to)-264(a)-265(point)-264(wher)18(e)-264(the)-265(err)18(or)-264(condition)-264(is)-264(handled;)-272(the)-264(err)18(or)-265(condition)-264(is)-264(handled)]TJ 0 -11.955 Td [(either)-336(by)-336(r)18(eturning)-336(contr)18(ol)-336(to)-336(the)-336(caller)-335(r)17(o)1(utine)-336(or)-336(by)-336(calling)-336(the)]TJ/F67 9.9626 Tf 291.408 0 Td [(psb\134_error)]TJ/F62 9.9626 Tf -291.408 -11.955 Td [(r)18(outine)-273(which)-274(prints)-273(the)-274(content)-273(of)-273(the)-274(err)18(or)-273(stack)-274(and)-273(aborts)-273(the)-274(pr)18(ogram)-273(ex-)]TJ 0 -11.955 Td [(ecution,)-373(accor)18(ding)-348(to)-348(the)-348(choice)-348(made)-348(by)-348(the)-348(user)-348(with)]TJ/F67 9.9626 Tf 252.305 0 Td [(psb_set_erraction)]TJ/F62 9.9626 Tf 88.915 0 Td [(.)]TJ -341.22 -11.955 Td [(The)-297(default)-296(is)-297(to)-296(print)-297(the)-297(err)18(or)-296(and)-297(terminate)-296(the)-297(pr)18(ogram,)-308(but)-297(the)-297(user)-296(may)]TJ 0 -11.956 Td [(choose)-250(to)-250(handle)-250(the)-250(err)18(or)-250(explicitly)111(.)]TJ 14.944 -11.955 Td [(Figur)18(e)]TJ + [-246(shows)-245(the)-246(layout)-246(of)-245(a)-246(generic)]TJ/F131 9.9626 Tf 1 0 0 1 337.572 515.71 Tm [(psb_foo)]TJ/F84 9.9626 Tf 1.018 0 0 1 376.676 515.71 Tm [(r)18(outine)-246(with)-246(r)18(espect)-246(to)-245(the)]TJ 1.004 0 0 1 150.705 503.755 Tm [(PSBLAS-2.0)-250(err)18(or)-250(handling)-250(policy)111(.)-311(It)-250(is)-250(possible)-250(to)-250(see)-249(how)91(,)-250(whenever)-250(an)-250(err)18(or)]TJ 1.02 0 0 1 150.705 491.799 Tm [(condition)-246(is)-246(detected,)-247(the)]TJ/F131 9.9626 Tf 1 0 0 1 265.648 491.799 Tm [(info)]TJ/F84 9.9626 Tf 1.02 0 0 1 289.072 491.799 Tm [(variable)-246(is)-246(set)-247(to)-246(the)-246(corr)17(espondi)1(ng)-247(err)18(or)-246(code)]TJ 1.02 0 0 1 150.286 479.844 Tm [(which)-277(is,)-285(then,)-285(pushed)-277(on)-277(top)-277(of)-277(the)-277(stack)-277(by)-277(means)-277(of)-277(the)]TJ/F131 9.9626 Tf 1 0 0 1 416.461 479.844 Tm [(psb_errpush)]TJ/F84 9.9626 Tf 1.02 0 0 1 473.995 479.844 Tm [(.)-400(An)]TJ 0.992 0 0 1 150.705 467.889 Tm [(err)18(or)-251(condition)-251(may)-251(be)-251(dir)18(ectly)-251(detected)-251(inside)-251(a)-251(r)18(outine)-251(or)-251(indir)18(ectly)-251(checking)]TJ 1.02 0 0 1 150.705 455.934 Tm [(the)-333(err)18(or)-333(code)-333(r)17(eturned)-332(r)17(eturned)-333(by)-333(a)-333(called)-333(r)18(outine.)-567(Whenever)-333(an)-333(err)17(or)-333(is)]TJ 0.98 0 0 1 150.705 443.979 Tm [(encounter)18(ed,)-240(after)-238(it)-237(has)-237(been)-237(pushed)-237(on)-238(stack,)-240(the)-238(pr)19(ogram)-238(executi)1(on)-238(skips)-237(to)-237(a)]TJ 0.98 0 0 1 150.406 432.024 Tm [(point)-251(wher)18(e)-252(the)-251(err)18(or)-251(condition)-252(is)-251(handled;)-253(the)-252(err)19(or)-252(condition)-251(is)-252(handled)-251(either)]TJ 1.015 0 0 1 150.705 420.068 Tm 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360.293 Tm [(Figur)18(e)]TJ 0 0 1 rg 0 0 1 RG - [-347(6)]TJ + [-224(6)]TJ 0 g 0 G - [-348(r)18(eports)-347(a)-347(sample)-347(err)18(or)-348(message)-347(generated)-347(by)-348(the)-347(PSBLAS-2.0)-347(li-)]TJ -14.944 -11.955 Td [(brary)111(.)-539(This)-327(err)18(or)-326(has)-327(been)-326(generated)-327(by)-326(the)-326(fact)-327(that)-326(the)-327(user)-326(has)-327(chosen)-326(the)]TJ 0 -11.955 Td [(invalid)-379(\223FOO\224)-380(stor)1(a)-1(g)1(e)-380(format)-379(to)-379(r)18(epr)18(esent)-380(the)-379(sparse)-379(matrix.)-698(Fr)18(om)-380(this)-379(er)18(-)]TJ 0 -11.955 Td [(r)18(or)-394(message)-393(it)-394(is)-393(possible)-394(to)-394(se)1(e)-394(that)-394(the)-393(err)18(or)-394(has)-393(been)-394(detected)-394(inside)-393(the)]TJ/F67 9.9626 Tf 0 -11.955 Td [(psb_cest)]TJ/F62 9.9626 Tf 45.361 0 Td [(subr)18(outine)-353(called)-353(by)]TJ/F67 9.9626 Tf 95.326 0 Td [(psb_spasb)]TJ/F62 9.9626 Tf 50.591 0 Td 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9.9626 Tf -157.517 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(string,)-250(see)-250(usage)-250(notes.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -19.925 Td [(On)-250(Exit)]TJ +/F75 9.9626 Tf -24.907 -19.925 Td [(On)-250(Exit)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F62 9.9626 Tf 24.349 0 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -30.874 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(inout)]TJ/F62 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F84 9.9626 Tf 24.349 0 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.183 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 196.511 0 Td [(psb)]TJ +/F131 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q 1 0 0 1 337.631 446.268 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 340.77 446.069 Td [(prec)]TJ +/F131 9.9626 Tf 340.77 446.069 Td [(prec)]TJ ET q 1 0 0 1 362.319 446.268 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 365.457 446.069 Td [(type)]TJ +/F131 9.9626 Tf 365.457 446.069 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -286.483 -19.925 Td [(info)]TJ +/F75 9.9626 Tf -286.483 -19.925 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.801 0 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf -30.326 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Err)18(or)-250(code:)-310(if)-250(no)-250(err)18(or)74(,)-250(0)-250(is)-250(r)18(eturned.)]TJ/F59 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ/F62 9.9626 Tf 34.311 0 Td [(Legal)-245(inputs)-244(to)-245(this)-245(subr)18(outine)-245(ar)18(e)-244(interpr)18(eted)-245(depending)-245(on)-244(the)]TJ/F60 9.9626 Tf 285.595 0 Td [(p)-25(t)-25(y)-80(p)-25(e)]TJ/F62 9.9626 Tf -319.906 -11.956 Td [(string)-250(as)-250(follows)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf -30.635 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Err)18(or)-250(code:)-310(if)-250(no)-250(err)18(or)74(,)-250(0)-250(is)-250(r)18(eturned.)]TJ/F75 11.9552 Tf 0.998 0 0 1 99.895 368.361 Tm [(Notes)]TJ/F84 9.9626 Tf 0.998 0 0 1 134.195 368.361 Tm [(Legal)-251(inputs)-250(to)-251(this)-250(subr)18(outine)-251(ar)18(e)-250(interpr)18(eted)-251(depending)-250(on)-251(the)]TJ/F78 9.9626 Tf 1 0 0 1 419.801 368.361 Tm [(p)-25(t)-25(y)-80(p)-25(e)]TJ/F84 9.9626 Tf -319.906 -11.956 Td [(string)-250(as)-250(follows)]TJ 0 0 1 rg 0 0 1 RG -/F62 7.5716 Tf 72.358 3.617 Td [(4)]TJ +/F84 7.5716 Tf 72.358 3.617 Td [(4)]TJ 0 g 0 G -/F62 9.9626 Tf 4.284 -3.617 Td [(:)]TJ +/F84 9.9626 Tf 4.284 -3.617 Td [(:)]TJ 0 g 0 G -/F59 9.9626 Tf -76.642 -19.925 Td [(NONE)]TJ +/F75 9.9626 Tf -76.642 -19.925 Td [(NONE)]TJ 0 g 0 G -/F62 9.9626 Tf 35.965 0 Td [(No)-250(pr)18(econditioning,)-250(i.e.)-310(the)-250(pr)18(econditioner)-250(is)-250(just)-250(a)-250(copy)-250(operator)74(.)]TJ +/F84 9.9626 Tf 35.965 0 Td [(No)-250(pr)18(econditioning,)-250(i.e.)-310(the)-250(pr)18(econditioner)-250(is)-250(just)-250(a)-250(copy)-250(operator)74(.)]TJ 0 g 0 G -/F59 9.9626 Tf -35.965 -19.925 Td [(DIAG)]TJ +/F75 9.9626 Tf -35.965 -19.925 Td [(DIAG)]TJ 0 g 0 G -/F62 9.9626 Tf 33.205 0 Td [(Diagonal)-371(scaling;)-432(each)-371(entry)-372(of)-371(the)-371(input)-371(vector)-372(is)-371(multiplied)-371(by)-371(the)]TJ -8.298 -11.955 Td [(r)18(ecipr)18(ocal)-266(of)-267(the)-266(sum)-267(of)-266(the)-266(absolute)-267(values)-266(of)-267(the)-266(coef)18(\002cients)-266(in)-267(the)-266(cor)18(-)]TJ 0 -11.955 Td [(r)18(esponding)-250(r)18(ow)-250(of)-250(matrix)]TJ/F60 9.9626 Tf 116.148 0 Td [(A)]TJ/F62 9.9626 Tf 7.318 0 Td [(;)]TJ +/F84 9.9626 Tf 1.02 0 0 1 133.101 316.555 Tm [(Diagonal)-318(scaling;)-354(each)-318(entry)-318(of)-318(the)-318(input)-318(ve)1(ctor)-318(is)-318(multiplied)-318(by)-318(the)]TJ 1.02 0 0 1 124.802 304.6 Tm [(r)18(ecipr)17(ocal)-378(of)-378(the)-377(sum)-378(of)-378(the)-378(absolute)-378(values)-378(of)-378(the)-378(coef)18(\002cients)-378(in)-378(the)]TJ 1 0 0 1 124.802 292.645 Tm [(corr)18(esponding)-250(r)18(ow)-250(of)-250(matrix)]TJ/F78 9.9626 Tf 129.946 0 Td [(A)]TJ/F84 9.9626 Tf 7.318 0 Td [(;)]TJ 0 g 0 G -/F59 9.9626 Tf -148.373 -19.926 Td [(BJAC)]TJ +/F75 9.9626 Tf -162.171 -19.926 Td [(BJAC)]TJ 0 g 0 G -/F62 9.9626 Tf 30.446 0 Td [(Pr)18(econdition)-211(by)-212(a)-211(factorization)-212(of)-211(the)-212(block-diagonal)-211(of)-212(matrix)]TJ/F60 9.9626 Tf 273.867 0 Td [(A)]TJ/F62 9.9626 Tf 7.317 0 Td [(,)-219(wher)18(e)]TJ -286.723 -11.955 Td [(block)-347(boundaries)-348(ar)18(e)-347(determined)-347(by)-348(the)-347(data)-347(allocation)-348(boundaries)-347(for)]TJ 0 -11.955 Td [(each)-223(pr)18(ocess;)-232(r)18(equir)18(es)-222(no)-223(communication.)-301(Only)-223(the)-222(incomplete)-223(factoriza-)]TJ 0 -11.955 Td [(tion)]TJ/F60 9.9626 Tf 20.498 0 Td [(I)-96(L)-9(U)]TJ/F93 10.3811 Tf 18.202 0 Td [(\050)]TJ/F62 9.9626 Tf 4.149 0 Td [(0)]TJ/F93 10.3811 Tf 5.106 0 Td [(\051)]TJ/F62 9.9626 Tf 6.64 0 Td [(is)-250(curr)18(ently)-250(implemented.)]TJ +/F84 9.9626 Tf 0.987 0 0 1 130.341 272.719 Tm [(Pr)18(econdition)-252(by)-253(a)-253(factorization)-252(of)-253(the)-252(block-diagonal)-253(of)-253(matrix)]TJ/F78 9.9626 Tf 1 0 0 1 404.297 272.719 Tm [(A)]TJ/F84 9.9626 Tf 0.987 0 0 1 411.614 272.719 Tm [(,)-253(wher)18(e)]TJ 1.02 0 0 1 124.802 260.764 Tm [(block)-280(boundaries)-280(ar)18(e)-280(determined)-279(by)-280(the)-280(data)-280(allocation)-280(boundar)1(ies)-280(for)]TJ 0.999 0 0 1 124.802 248.809 Tm [(each)-251(pr)18(ocess;)-251(r)18(equir)18(es)-250(no)-251(communication.)-312(Only)-251(the)-251(incomplete)-250(factoriza-)]TJ 1 0 0 1 124.802 236.854 Tm [(tion)]TJ/F78 9.9626 Tf 20.498 0 Td [(I)-96(L)-9(U)]TJ/F181 10.3811 Tf 18.202 0 Td [(\050)]TJ/F84 9.9626 Tf 4.149 0 Td [(0)]TJ/F181 10.3811 Tf 5.106 0 Td [(\051)]TJ/F84 9.9626 Tf 6.64 0 Td [(is)-250(curr)18(ently)-250(implemented.)]TJ 0 g 0 G ET q @@ -26577,466 +26572,890 @@ q []0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F62 5.9776 Tf 110.755 123.219 Td [(4)]TJ/F62 7.9701 Tf 3.487 -2.893 Td [(The)-250(string)-250(is)-250(case-insensitive)]TJ +/F84 5.9776 Tf 110.755 123.219 Td [(4)]TJ/F84 7.9701 Tf 3.24 -2.893 Td [(The)-250(string)-250(is)-250(case-insensitive)]TJ 0 g 0 G 0 g 0 G -/F62 9.9626 Tf 150.037 -29.888 Td [(151)]TJ +/F84 9.9626 Tf 150.284 -29.888 Td [(151)]TJ 0 g 0 G ET endstream endobj -1979 0 obj +1981 0 obj << -/Length 7572 +/Length 4614 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(10.2)-1000(build)-250(\227)-250(Builds)-250(a)-250(preconditioner)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(10.2)-1000(Set)-250(\227)-250(set)-250(preconditioner)-250(parameters)]TJ +0 g 0 G +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG +/F131 9.9626 Tf 106.999 -18.964 Td [(call)]TJ +0 g 0 G + [-525(p%set\050what,val,info\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.396 665.247 Tm [(This)-385(met)1(hod)-385(sets)-385(the)-384(parameters)-385(de\002ning)-384(the)-385(subdomain)-384(solver)-385(when)-384(the)]TJ 0.987 0 0 1 150.406 653.292 Tm [(pr)18(econditioner)-253(type)-252(is)]TJ/F131 9.9626 Tf 1 0 0 1 248.593 653.292 Tm [(BJAC)]TJ/F84 9.9626 Tf 0.987 0 0 1 269.515 653.292 Tm [(.)-253(Mor)18(e)-253(pr)19(ecisely)112(,)-253(the)-253(parameter)-253(ident)1(i\002ed)-253(by)]TJ/F131 9.9626 Tf 1 0 0 1 463.977 653.292 Tm [(what)]TJ/F84 9.9626 Tf 0.987 0 0 1 487.385 653.292 Tm [(is)]TJ 1 0 0 1 150.705 641.337 Tm [(assigned)-250(the)-250(value)-250(contained)-250(in)]TJ/F131 9.9626 Tf 141.229 0 Td [(val)]TJ/F84 9.9626 Tf 15.691 0 Td [(.)]TJ/F75 11.9552 Tf -157.386 -29.888 Td [(Arguments)]TJ/F131 9.9626 Tf 21.126 -15.534 Td [(what)]TJ +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG + [-2541(character)]TJ 0 g 0 G + [(\050)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + [(len)]TJ 0 g 0 G -/F67 9.9626 Tf 0 -20.364 Td [(call)-525(prec%build\050a,)-525(desc_a,)-525(info[,amold,vmold,imold]\051)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(=*)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -24.086 Td [(T)90(ype:)]TJ + [(\051)]TJ/F84 9.9626 Tf 129.918 0 Td [(.)]TJ 1.02 0 0 1 217.288 583.96 Tm [(The)-322(parameter)-321(to)-322(be)-321(set.)-533(It)-322(can)-321(be)-322(speci\002ed)-321(thr)17(ough)-321(its)-322(name;)-359(the)-322(string)-321(is)]TJ 1 0 0 1 217.597 572.005 Tm [(case-insensitive.)-310(See)-250(T)92(ables)]TJ/F75 9.9626 Tf 121.792 0 Td [(??)]TJ/F84 9.9626 Tf 8.847 0 Td [(-)]TJ +0 0 1 rg 0 0 1 RG + [(22)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ + [(.)]TJ/F131 9.9626 Tf -176.871 -11.955 Td [(val)]TJ +0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G -/F59 9.9626 Tf -29.828 -22.815 Td [(On)-250(Entry)]TJ +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG + [-3066(integer)]TJ 0 g 0 G +/F78 9.9626 Tf 1.02 0 0 1 261.996 560.05 Tm [(or)]TJ +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG +/F131 9.9626 Tf 1 0 0 1 278.248 560.05 Tm [(character)]TJ 0 g 0 G - 0 -22.816 Td [(a)]TJ + [(\050)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + [(len)]TJ +0 g 0 G +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(=*)]TJ +0 g 0 G + [(\051)]TJ/F78 9.9626 Tf 1.02 0 0 1 369.72 560.05 Tm [(or)]TJ +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG +/F131 9.9626 Tf 1 0 0 1 385.972 560.05 Tm [(real)]TJ +0 g 0 G + [(\050psb_spk_\051)]TJ/F78 9.9626 Tf 1.02 0 0 1 466.983 560.05 Tm [(or)]TJ +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG +/F131 9.9626 Tf 1 0 0 1 483.235 560.05 Tm [(real)]TJ +0 g 0 G + [(\050psb_dpk_\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 556.46 560.05 Tm [(,)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG +/F131 9.9626 Tf 1 0 0 1 217.597 548.095 Tm [(intent)]TJ +0 g 0 G + [(\050in\051)]TJ/F84 9.9626 Tf 52.304 0 Td [(.)]TJ 1.02 0 0 1 217.288 536.14 Tm [(The)-390(value)-390(of)-390(the)-389(parameter)-390(to)-390(be)-390(set.)-738(The)-390(list)-390(of)-390(allowed)-390(values)-390(and)-389(the)]TJ 1.02 0 0 1 217.597 524.184 Tm [(corr)18(esponding)-256(data)-256(types)-256(is)-256(given)-256(in)-256(T)90(ables)]TJ/F75 9.9626 Tf 1 0 0 1 414.533 524.184 Tm [(??)]TJ/F84 9.9626 Tf 1.02 0 0 1 423.38 524.184 Tm [(-)]TJ +0 0 1 rg 0 0 1 RG + [(22)]TJ +0 g 0 G + [(.)-337(When)-256(the)-256(value)-256(i)1(s)-256(of)-256(type)]TJ +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG +/F131 9.9626 Tf 1 0 0 1 217.597 512.229 Tm [(character)]TJ +0 g 0 G + [(\050)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + [(len)]TJ +0 g 0 G +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(=*)]TJ +0 g 0 G + [(\051)]TJ/F84 9.9626 Tf 83.686 0 Td [(,)-250(it)-250(is)-250(also)-250(tr)18(eated)-250(as)-250(case)-250(insensitive.)]TJ/F131 9.9626 Tf -129.657 -11.955 Td [(info)]TJ +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG + [-2514(integer)]TJ +0 g 0 G + [(,)]TJ +0.73 0.73 0.73 rg 0.73 0.73 0.73 RG +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + [-525(intent)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(the)-250(system)-250(sparse)-250(matrix.)-310(Scope:)]TJ/F59 9.9626 Tf 146.229 0 Td [(local)]TJ/F62 9.9626 Tf -131.285 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(,)-250(tar)18(get.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(sparse)-250(matrix)-250(data)-250(str)8(uctur)18(e)]TJ + [(\050out\051)]TJ/F84 9.9626 Tf 150.578 0 Td [(.)]TJ -104.607 -11.955 Td [(Err)18(or)-250(code.)-310(If)-250(no)-250(err)18(or)74(,)-250(0)-250(is)-250(r)18(eturned.)-310(See)-250(Section)]TJ/F75 9.9626 Tf 213.527 0 Td [(??)]TJ/F84 9.9626 Tf 11.338 0 Td [(for)-250(details.)]TJ 1.02 0 0 1 150.316 476.478 Tm [(A)-253(number)-253(of)-253(subdomain)-253(solvers)-253(can)-253(be)-253(chosen)-254(with)-253(this)-253(method;)-257(a)-253(list)-253(of)-253(the)]TJ 0.98 0 0 1 150.406 464.523 Tm [(parameters)-247(that)-247(can)-247(be)-247(set,)-248(along)-247(with)-247(their)-247(allowed)-247(and)-247(default)-246(values,)-249(is)-247(given)]TJ 1 0 0 1 150.705 452.568 Tm [(in)-250(T)92(ables)]TJ/F75 9.9626 Tf 41.255 0 Td [(??)]TJ/F84 9.9626 Tf 8.846 0 Td [(-)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 190.872 0 Td [(psb)]TJ + [(22)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G + 114.282 -362.13 Td [(152)]TJ +0 g 0 G ET + +endstream +endobj +1986 0 obj +<< +/Length 4611 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +1 0 0 1 271.751 120.326 cm q -1 0 0 1 382.802 580.382 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +0 1 -1 0 0 0 cm +0 g 0 G +0 g 0 G +0 g 0 G +q +1 0 0 1 9.234 63.215 cm +[]0 d 0 J 0.398 w 0 0 m 577.297 0 l S +Q +q +1 0 0 1 9.234 52.057 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q +1 0 0 1 -271.751 -120.326 cm BT -/F67 9.9626 Tf 385.94 580.183 Td [(Tspmat)]TJ +/F231 8.9664 Tf 286.727 175.671 Td [(what)]TJ ET q -1 0 0 1 417.95 580.382 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 394.988 172.383 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q BT -/F67 9.9626 Tf 421.088 580.183 Td [(type)]TJ -0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F59 9.9626 Tf -291.305 -22.815 Td [(prec)]TJ -0 g 0 G -/F62 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(alr)18(eady)-190(initialized)-190(pr)18(econdtioner)-190(data)-190(str)8(uctur)18(e)]TJ -0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 277.288 0 Td [(psb)]TJ +/F84 7.1731 Tf 401.189 175.671 Td [(D)-62(A)11(T)12(A)-374(T)-62(Y)-62(P)-62(E)]TJ ET q -1 0 0 1 469.217 509.746 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 482.26 172.383 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q BT -/F67 9.9626 Tf 472.355 509.547 Td [(prec)]TJ +/F231 8.9664 Tf 488.002 175.671 Td [(val)]TJ ET q -1 0 0 1 493.904 509.746 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 548.073 172.383 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q BT -/F67 9.9626 Tf 497.043 509.547 Td [(type)]TJ -0 g 0 G -0 g 0 G -/F59 9.9626 Tf -346.338 -34.771 Td [(desc)]TJ +/F84 7.1731 Tf 554.275 175.671 Td [(D)-62(E)-62(F)13(A)-62(U)-62(L)12(T)]TJ ET q -1 0 0 1 171.218 474.975 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 662.075 172.383 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q BT -/F59 9.9626 Tf 174.207 474.776 Td [(a)]TJ -0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(pr)18(oblem)-250(communication)-250(descriptor)74(.)-310(Scope:)]TJ/F59 9.9626 Tf 208.625 0 Td [(local)]TJ/F62 9.9626 Tf -217.183 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(,)-250(tar)18(get.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(communication)-250(descriptor)-250(data)-250(str)8(uctur)18(e)]TJ -0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 247.649 0 Td [(psb)]TJ +/F84 7.1731 Tf 668.277 175.671 Td [(C)-62(O)-62(M)-61(M)-62(E)-61(N)-62(T)-62(S)]TJ ET q -1 0 0 1 439.579 439.11 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 858.283 172.383 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S +Q +q +1 0 0 1 280.985 172.184 cm +[]0 d 0 J 0.398 w 0 0 m 577.297 0 l S +Q +q +1 0 0 1 280.985 95.272 cm +[]0 d 0 J 0.398 w 0 0 m 0 76.712 l S Q +0.25 0.44 0.63 rg 0.25 0.44 0.63 RG BT -/F67 9.9626 Tf 442.717 438.911 Td [(desc)]TJ +/F231 8.9664 Tf 286.963 164.313 Td [(\015SUB_SOLVE\015)]TJ +0 g 0 G ET q -1 0 0 1 464.266 439.11 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 394.988 95.272 cm +[]0 d 0 J 0.398 w 0 0 m 0 76.712 l S Q +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG BT -/F67 9.9626 Tf 467.404 438.911 Td [(type)]TJ +/F231 8.9664 Tf 400.965 164.313 Td [(character)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ + [(\050)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + [(len)]TJ 0 g 0 G -/F59 9.9626 Tf -337.62 -22.816 Td [(amold)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(=*)]TJ 0 g 0 G -/F62 9.9626 Tf 33.763 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(matrix)-250(storage.)]TJ -8.857 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F67 9.9626 Tf 201.393 0 Td [(psb)]TJ + [(\051)]TJ ET q -1 0 0 1 393.323 368.474 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 482.26 95.272 cm +[]0 d 0 J 0.398 w 0 0 m 0 76.712 l S Q +0.25 0.44 0.63 rg 0.25 0.44 0.63 RG BT -/F67 9.9626 Tf 396.461 368.275 Td [(T)]TJ +/F231 8.9664 Tf 488.237 164.313 Td [(\015ILU\015)]TJ +0 g 0 G +0.25 0.44 0.63 rg 0.25 0.44 0.63 RG + 0 -10.959 Td [(\015ILUT\015)]TJ +0 g 0 G +0.25 0.44 0.63 rg 0.25 0.44 0.63 RG + 0 -10.959 Td [(\015INVT\015)]TJ +0 g 0 G +0.25 0.44 0.63 rg 0.25 0.44 0.63 RG + 0 -10.959 Td [(\015INVK\015)]TJ +0 g 0 G +0.25 0.44 0.63 rg 0.25 0.44 0.63 RG + 0 -10.958 Td [(\015AINV\015)]TJ +0 g 0 G ET q -1 0 0 1 402.319 368.474 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 548.073 95.272 cm +[]0 d 0 J 0.398 w 0 0 m 0 76.712 l S Q -BT -/F67 9.9626 Tf 405.457 368.275 Td [(base)]TJ -ET q -1 0 0 1 427.006 368.474 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 662.075 95.272 cm +[]0 d 0 J 0.398 w 0 0 m 0 76.712 l S Q BT -/F67 9.9626 Tf 430.144 368.275 Td [(sparse)]TJ +/F84 8.9664 Tf 1.02 0 0 1 667.775 164.313 Tm [(The)-899(local)-898(solver)-899(to)-898(be)-899(used)-898(with)-899(the)]TJ 1.02 0 0 1 668.053 153.354 Tm [(smoother)-335(or)-335(one-level)-336(pr)18(econditioner)-335(ILU\050)]TJ/F78 8.9664 Tf 1 0 0 1 843.499 153.354 Tm [(p)]TJ/F84 8.9664 Tf 1.02 0 0 1 848.094 153.354 Tm [(\051,)]TJ 1.02 0 0 1 668.053 142.395 Tm [(ILU\050)]TJ/F78 8.9664 Tf 1 0 0 1 687.489 142.395 Tm [(p)]TJ/F84 8.9664 Tf 1.02 0 0 1 692.084 142.395 Tm [(,)]TJ/F78 8.9664 Tf 1 0 0 1 695.977 142.395 Tm [(t)]TJ/F84 8.9664 Tf 1.02 0 0 1 699.075 142.395 Tm [(\051,)-623(Appr)18(oximate)-548(Inverses)-547(INVK\050)]TJ/F78 8.9664 Tf 1 0 0 1 835.342 142.395 Tm [(p)]TJ/F84 8.9664 Tf 1.02 0 0 1 839.938 142.395 Tm [(,)]TJ/F78 8.9664 Tf 1 0 0 1 843.83 142.395 Tm [(q)]TJ/F84 8.9664 Tf 1.02 0 0 1 848.094 142.395 Tm [(\051,)]TJ 1.02 0 0 1 668.053 131.436 Tm [(INVT\050)]TJ/F78 8.9664 Tf 1 0 0 1 694.595 131.436 Tm [(p)]TJ/F84 6.9738 Tf 4.595 -1.783 Td [(1)]TJ/F84 8.9664 Tf 1.02 0 0 1 703.175 131.436 Tm [(,)]TJ/F78 8.9664 Tf 1 0 0 1 707.561 131.436 Tm [(p)]TJ/F84 8.9664 Tf 1.02 0 0 1 712.157 131.436 Tm [(2,)]TJ/F78 8.9664 Tf 1 0 0 1 720.622 131.436 Tm [(t)]TJ/F84 6.9738 Tf 3.098 -1.783 Td [(1)]TJ/F84 8.9664 Tf 1.02 0 0 1 727.705 131.436 Tm [(,)]TJ/F78 8.9664 Tf 1 0 0 1 731.598 131.436 Tm [(t)]TJ/F84 6.9738 Tf 3.098 -1.678 Td [(2)]TJ/F84 8.9664 Tf 1.02 0 0 1 738.681 131.436 Tm [(\051)-649(and)-648(AINV\050)]TJ/F78 8.9664 Tf 1 0 0 1 796.631 131.436 Tm [(t)]TJ/F84 8.9664 Tf 1.02 0 0 1 799.729 131.436 Tm [(\051;)-850(note)-649(that)]TJ 1.02 0 0 1 668.053 120.478 Tm [(appr)18(oximate)-468(inverses)-468(ar)18(e)-468(speci\002cally)-467(suited)]TJ 1.02 0 0 1 668.053 109.519 Tm [(for)-251(GPUs)-250(since)-251(they)-250(do)-251(not)-250(employ)-251(triangular)]TJ 1 0 0 1 668.053 98.56 Tm [(system)-250(solve)-250(kernels,)-250(see)-250([)]TJ/F75 8.9664 Tf 103.722 0 Td [(?)]TJ/F84 8.9664 Tf 3.981 0 Td [(].)]TJ ET q -1 0 0 1 462.154 368.474 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 858.283 95.272 cm +[]0 d 0 J 0.398 w 0 0 m 0 76.712 l S +Q +q +1 0 0 1 280.985 95.073 cm +[]0 d 0 J 0.398 w 0 0 m 577.297 0 l S +Q +q +1 0 0 1 280.985 93.08 cm +[]0 d 0 J 0.398 w 0 0 m 577.297 0 l S Q +0 g 0 G BT -/F67 9.9626 Tf 465.292 368.275 Td [(mat)]TJ/F62 9.9626 Tf 15.691 0 Td [(.)]TJ +/F84 9.9626 Tf 380.202 64.702 Td [(T)92(able)-250(21:)-310(Parameters)-250(de\002ning)-250(the)-250(solver)-250(or)-250(the)-250(details)-250(of)-250(the)-250(one-level)-250(pr)18(econditioner)74(.)]TJ 0 g 0 G -/F59 9.9626 Tf -330.278 -22.816 Td [(vmold)]TJ 0 g 0 G -/F62 9.9626 Tf 34.321 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -9.415 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F67 9.9626 Tf 201.393 0 Td [(psb)]TJ ET -q -1 0 0 1 393.323 297.838 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 271.751 120.326 cm Q +0 g 0 G +0 g 0 G +1 0 0 1 -271.751 -120.326 cm BT -/F67 9.9626 Tf 396.461 297.638 Td [(T)]TJ +/F84 9.9626 Tf 264.279 90.438 Td [(153)]TJ +0 g 0 G ET + +endstream +endobj +1991 0 obj +<< +/Length 3855 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +1 0 0 1 322.56 716.092 cm q -1 0 0 1 402.319 297.838 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +0 -1 1 0 0 0 cm +0 g 0 G +0 g 0 G +0 g 0 G +q +1 0 0 1 6.907 46.976 cm +[]0 d 0 J 0.398 w 0 0 m 581.953 0 l S +Q +q +1 0 0 1 6.907 35.818 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q +1 0 0 1 -322.56 -716.092 cm BT -/F67 9.9626 Tf 405.457 297.638 Td [(base)]TJ +/F231 8.9664 Tf 335.209 755.197 Td [(what)]TJ ET q -1 0 0 1 427.006 297.838 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 432.13 751.91 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q BT -/F67 9.9626 Tf 430.144 297.638 Td [(vect)]TJ +/F84 7.1731 Tf 438.332 755.197 Td [(D)-62(A)11(T)12(A)-374(T)-62(Y)-62(P)-62(E)]TJ ET q -1 0 0 1 451.693 297.838 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 538.231 751.91 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q BT -/F67 9.9626 Tf 454.832 297.638 Td [(type)]TJ/F62 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F59 9.9626 Tf -325.048 -22.815 Td [(imold)]TJ -0 g 0 G -/F62 9.9626 Tf 32.099 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(integer)-250(vector)-250(storage.)]TJ -7.193 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-190(as:)-280(an)-190(object)-190(of)-190(a)-190(class)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F67 9.9626 Tf 235.804 0 Td [(psb)]TJ +/F231 8.9664 Tf 543.974 755.197 Td [(val)]TJ ET q -1 0 0 1 427.733 227.202 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 623.888 751.91 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q BT -/F67 9.9626 Tf 430.872 227.002 Td [(T)]TJ +/F84 7.1731 Tf 630.089 755.197 Td [(D)-62(E)-62(F)12(A)-62(U)-62(L)13(T)]TJ ET q -1 0 0 1 436.73 227.202 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 709.544 751.91 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S Q BT -/F67 9.9626 Tf 439.868 227.002 Td [(base)]TJ +/F84 7.1731 Tf 715.745 755.197 Td [(C)-62(O)-62(M)-61(M)-62(E)-61(N)-62(T)-62(S)]TJ ET q -1 0 0 1 461.417 227.202 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 911.42 751.91 cm +[]0 d 0 J 0.398 w 0 0 m 0 10.959 l S +Q +q +1 0 0 1 329.467 751.71 cm +[]0 d 0 J 0.398 w 0 0 m 581.953 0 l S +Q +q +1 0 0 1 329.467 729.593 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S Q +0.25 0.44 0.63 rg 0.25 0.44 0.63 RG BT -/F67 9.9626 Tf 464.555 227.002 Td [(vect)]TJ +/F231 8.9664 Tf 335.444 743.84 Td [(\015SUB_FILLIN\015)]TJ +0 g 0 G ET q -1 0 0 1 486.104 227.202 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 432.13 729.593 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S Q +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG BT -/F67 9.9626 Tf 489.242 227.002 Td [(type)]TJ/F62 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F59 9.9626 Tf -359.459 -24.085 Td [(On)-250(Return)]TJ -0 g 0 G -0 g 0 G - 0 -22.816 Td [(prec)]TJ +/F231 8.9664 Tf 438.108 743.84 Td [(integer)]TJ 0 g 0 G -/F62 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econdtioner)-250(data)-250(str)8(uctur)18(e)]TJ -0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 193.612 0 Td [(psb)]TJ ET q -1 0 0 1 385.542 132.48 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 538.231 729.593 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S Q BT -/F67 9.9626 Tf 388.68 132.281 Td [(prec)]TJ +/F84 8.9664 Tf 543.859 743.84 Td [(Any)-250(integer)]TJ 0.35 -10.959 Td [(number)]TJ/F179 9.343 Tf 33.691 0 Td [(\025)]TJ/F84 8.9664 Tf 9.865 0 Td [(0)]TJ ET q -1 0 0 1 410.229 132.48 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 623.888 729.593 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S Q BT -/F67 9.9626 Tf 413.367 132.281 Td [(type)]TJ -0 g 0 G -0 g 0 G -/F62 9.9626 Tf -98.279 -41.843 Td [(152)]TJ -0 g 0 G +/F84 8.9664 Tf 629.865 743.84 Td [(0)]TJ ET - -endstream +q +1 0 0 1 709.544 729.593 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S +Q +BT +/F84 8.9664 Tf 0.98 0 0 1 715.521 743.84 Tm [(Fill-in)-207(level)]TJ/F78 8.9664 Tf 1 0 0 1 761.42 743.84 Tm [(p)]TJ/F84 8.9664 Tf 0.98 0 0 1 767.837 743.84 Tm [(of)-207(the)-208(incomplete)-207(LU)-207(factorizations.)]TJ +ET +q +1 0 0 1 911.42 729.593 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S +Q +q +1 0 0 1 329.467 729.394 cm +[]0 d 0 J 0.398 w 0 0 m 581.953 0 l S +Q +q +1 0 0 1 329.467 707.277 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S +Q +0.25 0.44 0.63 rg 0.25 0.44 0.63 RG +BT +/F231 8.9664 Tf 335.444 721.524 Td [(\015SUB_ILUTHRS\015)]TJ +0 g 0 G +ET +q +1 0 0 1 432.13 707.277 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S +Q +0.56 0.13 0.00 rg 0.56 0.13 0.00 RG +BT +/F231 8.9664 Tf 438.108 721.524 Td [(real)]TJ +0 g 0 G + [(\050kind_parameter\051)]TJ +ET +q +1 0 0 1 538.231 707.277 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S +Q +BT +/F84 8.9664 Tf 1.02 0 0 1 543.859 721.524 Tm [(Any)-1148(r)18(eal)-1148(num-)]TJ 1 0 0 1 544.209 710.565 Tm [(ber)]TJ/F179 9.343 Tf 15.148 0 Td [(\025)]TJ/F84 8.9664 Tf 9.866 0 Td [(0)]TJ +ET +q +1 0 0 1 623.888 707.277 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S +Q +BT +/F84 8.9664 Tf 629.865 721.524 Td [(0)]TJ +ET +q +1 0 0 1 709.544 707.277 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S +Q +BT +/F84 8.9664 Tf 715.521 721.524 Td [(Dr)18(op)-250(tolerance)]TJ/F78 8.9664 Tf 61.442 0 Td [(t)]TJ/F84 8.9664 Tf 5.339 0 Td [(in)-250(the)-250(ILU\050)]TJ/F78 8.9664 Tf 43.814 0 Td [(p)]TJ/F84 8.9664 Tf 4.595 0 Td [(,)]TJ/F78 8.9664 Tf 3.848 0 Td [(t)]TJ/F84 8.9664 Tf 3.098 0 Td [(\051)-250(factorization.)]TJ +ET +q +1 0 0 1 911.42 707.277 cm +[]0 d 0 J 0.398 w 0 0 m 0 21.918 l S +Q +q +1 0 0 1 329.467 707.078 cm +[]0 d 0 J 0.398 w 0 0 m 581.953 0 l S +Q +q +1 0 0 1 329.467 705.085 cm +[]0 d 0 J 0.398 w 0 0 m 581.953 0 l S +Q +0 g 0 G +BT +/F84 9.9626 Tf 398.01 676.707 Td [(T)92(able)-250(22:)-310(Parameters)-250(de\002ning)-250(the)-250(smoother)-250(or)-250(the)-250(details)-250(of)-250(the)-250(one-level)-250(pr)18(econditioner)-250(\050continued\051.)]TJ +0 g 0 G +0 g 0 G +ET +1 0 0 1 322.56 716.092 cm +Q +0 g 0 G +0 g 0 G +1 0 0 1 -322.56 -716.092 cm +BT +/F84 9.9626 Tf 315.088 90.438 Td [(154)]TJ +0 g 0 G +ET + +endstream +endobj +1999 0 obj +<< +/Length 7657 +>> +stream +0 g 0 G +0 g 0 G +BT +/F75 11.9552 Tf 99.895 706.129 Td [(10.3)-1000(build)-250(\227)-250(Builds)-250(a)-250(preconditioner)]TJ +0 g 0 G +0 g 0 G +/F131 9.9626 Tf 0 -20.364 Td [(call)-525(prec%build\050a,)-525(desc_a,)-525(info[,amold,vmold,imold]\051)]TJ +0 g 0 G +/F75 9.9626 Tf 0 -24.086 Td [(T)90(ype:)]TJ +0 g 0 G +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +0 g 0 G +/F75 9.9626 Tf -29.828 -22.815 Td [(On)-250(Entry)]TJ +0 g 0 G +0 g 0 G + 0 -22.816 Td [(a)]TJ +0 g 0 G +/F84 9.9626 Tf 9.963 0 Td [(the)-250(system)-250(sparse)-250(matrix.)-310(Scope:)]TJ/F75 9.9626 Tf 146.23 0 Td [(local)]TJ/F84 9.9626 Tf -131.595 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(,)-250(tar)18(get.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(sparse)-250(matrix)-250(data)-250(str)8(uctur)18(e)]TJ +0 0 1 rg 0 0 1 RG +/F131 9.9626 Tf 190.872 0 Td [(psb)]TJ +ET +q +1 0 0 1 331.993 580.382 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 335.131 580.183 Td [(Tspmat)]TJ +ET +q +1 0 0 1 367.141 580.382 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 370.279 580.183 Td [(type)]TJ +0 g 0 G +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F75 9.9626 Tf -291.305 -22.815 Td [(prec)]TJ +0 g 0 G +/F84 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ 0.98 0 0 1 124.802 509.547 Tm [(Speci\002ed)-194(as:)-286(an)-193(alr)18(eady)-194(initialized)-194(pr)19(econdtioner)-194(data)-194(str)8(uctur)18(e)]TJ +0 0 1 rg 0 0 1 RG +/F131 9.9626 Tf 1 0 0 1 396.852 509.547 Tm [(psb)]TJ +ET +q +1 0 0 1 413.17 509.746 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 416.309 509.547 Td [(prec)]TJ +ET +q +1 0 0 1 437.858 509.746 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 440.996 509.547 Td [(type)]TJ +0 g 0 G +0 g 0 G +/F75 9.9626 Tf -341.101 -34.771 Td [(desc)]TJ +ET +q +1 0 0 1 120.408 474.975 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F75 9.9626 Tf 123.397 474.776 Td [(a)]TJ +0 g 0 G +/F84 9.9626 Tf 9.963 0 Td [(the)-250(pr)18(oblem)-250(communication)-250(descriptor)74(.)-310(Scope:)]TJ/F75 9.9626 Tf 208.625 0 Td [(local)]TJ/F84 9.9626 Tf -217.492 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(,)-250(tar)18(get.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(communication)-250(descriptor)-250(data)-250(str)8(uctur)18(e)]TJ +0 0 1 rg 0 0 1 RG +/F131 9.9626 Tf 247.648 0 Td [(psb)]TJ +ET +q +1 0 0 1 388.769 439.11 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 391.907 438.911 Td [(desc)]TJ +ET +q +1 0 0 1 413.456 439.11 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 416.594 438.911 Td [(type)]TJ +0 g 0 G +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F75 9.9626 Tf -337.621 -22.816 Td [(amold)]TJ +0 g 0 G +/F84 9.9626 Tf 33.455 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(matrix)-250(storage.)]TJ -8.548 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -53.32 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(.)]TJ -64.966 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F131 9.9626 Tf 201.393 0 Td [(psb)]TJ +ET +q +1 0 0 1 342.513 368.474 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 345.652 368.275 Td [(T)]TJ +ET +q +1 0 0 1 351.51 368.474 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 354.648 368.275 Td [(base)]TJ +ET +q +1 0 0 1 376.197 368.474 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 379.335 368.275 Td [(sparse)]TJ +ET +q +1 0 0 1 411.345 368.474 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 414.483 368.275 Td [(mat)]TJ/F84 9.9626 Tf 15.691 0 Td [(.)]TJ +0 g 0 G +/F75 9.9626 Tf -330.279 -22.816 Td [(vmold)]TJ +0 g 0 G +/F84 9.9626 Tf 34.013 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -9.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -53.32 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(.)]TJ -64.966 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F131 9.9626 Tf 201.393 0 Td [(psb)]TJ +ET +q +1 0 0 1 342.513 297.838 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 345.652 297.638 Td [(T)]TJ +ET +q +1 0 0 1 351.51 297.838 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 354.648 297.638 Td [(base)]TJ +ET +q +1 0 0 1 376.197 297.838 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 379.335 297.638 Td [(vect)]TJ +ET +q +1 0 0 1 400.884 297.838 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 404.022 297.638 Td [(type)]TJ/F84 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F75 9.9626 Tf -325.049 -22.815 Td [(imold)]TJ +0 g 0 G +/F84 9.9626 Tf 31.791 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(integer)-250(vector)-250(storage.)]TJ -6.884 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ -53.32 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(.)]TJ -64.966 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ 0.98 0 0 1 124.802 227.002 Tm [(Speci\002ed)-194(as:)-286(an)-193(object)-194(of)-194(a)-194(class)-194(derived)-194(fr)19(om)-194(\050integer\051)]TJ/F131 9.9626 Tf 1 0 0 1 356.282 227.002 Tm [(psb)]TJ +ET +q +1 0 0 1 372.601 227.202 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 375.739 227.002 Td [(T)]TJ +ET +q +1 0 0 1 381.597 227.202 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 384.735 227.002 Td [(base)]TJ +ET +q +1 0 0 1 406.284 227.202 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 409.422 227.002 Td [(vect)]TJ +ET +q +1 0 0 1 430.971 227.202 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 434.11 227.002 Td [(type)]TJ/F84 9.9626 Tf 0.98 0 0 1 455.031 227.002 Tm [(.)]TJ +0 g 0 G +/F75 9.9626 Tf 1 0 0 1 99.895 202.917 Tm [(On)-250(Return)]TJ +0 g 0 G +0 g 0 G + 0 -22.816 Td [(prec)]TJ +0 g 0 G +/F84 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econdtioner)-250(data)-250(str)8(uctur)18(e)]TJ +0 0 1 rg 0 0 1 RG +/F131 9.9626 Tf 193.612 0 Td [(psb)]TJ +ET +q +1 0 0 1 334.732 132.48 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 337.871 132.281 Td [(prec)]TJ +ET +q +1 0 0 1 359.42 132.48 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F131 9.9626 Tf 362.558 132.281 Td [(type)]TJ +0 g 0 G +0 g 0 G +/F84 9.9626 Tf -98.279 -41.843 Td [(155)]TJ +0 g 0 G +ET + +endstream endobj -1983 0 obj +2003 0 obj << -/Length 1021 +/Length 1133 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F59 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F75 9.9626 Tf 150.705 706.129 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ -24.907 -21.918 Td [(The)]TJ/F67 9.9626 Tf 20.388 0 Td [(amold)]TJ/F62 9.9626 Tf 26.152 0 Td [(,)]TJ/F67 9.9626 Tf 6.506 0 Td [(vmold)]TJ/F62 9.9626 Tf 29.862 0 Td [(and)]TJ/F67 9.9626 Tf 20.577 0 Td [(imold)]TJ/F62 9.9626 Tf 29.862 0 Td [(ar)18(guments)-372(may)-373(be)-372(employed)-373(to)-372(interface)-372(with)]TJ -133.347 -11.955 Td [(special)-250(devices,)-250(such)-250(as)-250(GPUs)-250(and)-250(other)-250(accelerators.)]TJ +/F84 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 1.02 0 0 1 150.396 636.39 Tm [(The)]TJ/F131 9.9626 Tf 1 0 0 1 170.746 636.39 Tm [(amold)]TJ/F84 9.9626 Tf 1.02 0 0 1 196.898 636.39 Tm [(,)]TJ/F131 9.9626 Tf 1 0 0 1 202.989 636.39 Tm [(vmold)]TJ/F84 9.9626 Tf 1.02 0 0 1 232.48 636.39 Tm [(and)]TJ/F131 9.9626 Tf 1 0 0 1 253.023 636.39 Tm [(imold)]TJ/F84 9.9626 Tf 1.02 0 0 1 282.514 636.39 Tm [(ar)18(guments)-329(may)-328(be)-329(employed)-329(to)-328(interface)-329(with)]TJ 1 0 0 1 150.705 624.435 Tm [(special)-250(devices,)-250(such)-250(as)-250(GPUs)-250(and)-250(other)-250(accelerators.)]TJ 0 g 0 G - 164.384 -533.997 Td [(153)]TJ + 164.383 -533.997 Td [(156)]TJ 0 g 0 G ET endstream endobj -1991 0 obj +2011 0 obj << -/Length 5673 +/Length 5674 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 150.705 706.129 Td [(10.3)-1000(apply)-250(\227)-250(Preconditioner)-250(application)-250(routine)]TJ +/F75 11.9552 Tf 99.895 706.129 Td [(10.4)-1000(apply)-250(\227)-250(Preconditioner)-250(application)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf 0 -18.964 Td [(call)-525(prec%apply\050x,y,desc_a,info,trans,work\051)]TJ 0 -11.955 Td [(call)-525(prec%apply\050x,desc_a,info,trans\051)]TJ +/F131 9.9626 Tf 0 -18.964 Td [(call)-525(prec%apply\050x,y,desc_a,info,trans,work\051)]TJ 0 -11.955 Td [(call)-525(prec%apply\050x,desc_a,info,trans\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F62 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F59 9.9626 Tf 117.837 0 Td [(local)]TJ/F62 9.9626 Tf -117.279 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F84 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F75 9.9626 Tf 117.836 0 Td [(local)]TJ/F84 9.9626 Tf -117.587 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 196.511 0 Td [(psb)]TJ +/F131 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q -1 0 0 1 388.441 577.775 cm +1 0 0 1 337.631 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 391.579 577.576 Td [(prec)]TJ +/F131 9.9626 Tf 340.77 577.576 Td [(prec)]TJ ET q -1 0 0 1 413.128 577.775 cm +1 0 0 1 362.319 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 416.266 577.576 Td [(type)]TJ +/F131 9.9626 Tf 365.457 577.576 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -286.483 -19.925 Td [(x)]TJ +/F75 9.9626 Tf -286.483 -19.925 Td [(x)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(sour)18(ce)-250(vector)74(.)-310(Scope:)]TJ/F59 9.9626 Tf 111.142 0 Td [(local)]TJ/F62 9.9626 Tf -96.198 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(the)-250(sour)18(ce)-250(vector)74(.)-310(Scope:)]TJ/F75 9.9626 Tf 111.142 0 Td [(local)]TJ/F84 9.9626 Tf -96.507 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 218.688 0 Td [(psb)]TJ +/F131 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q -1 0 0 1 410.618 521.985 cm +1 0 0 1 359.808 521.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 413.756 521.785 Td [(T)]TJ +/F131 9.9626 Tf 362.947 521.785 Td [(T)]TJ ET q -1 0 0 1 419.614 521.985 cm +1 0 0 1 368.804 521.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 422.752 521.785 Td [(vect)]TJ +/F131 9.9626 Tf 371.943 521.785 Td [(vect)]TJ ET q -1 0 0 1 444.301 521.985 cm +1 0 0 1 393.492 521.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 447.439 521.785 Td [(type)]TJ +/F131 9.9626 Tf 396.63 521.785 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -317.656 -19.925 Td [(desc)]TJ +/F75 9.9626 Tf -317.656 -19.925 Td [(desc)]TJ ET q -1 0 0 1 171.218 502.059 cm +1 0 0 1 120.408 502.059 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 174.207 501.86 Td [(a)]TJ +/F75 9.9626 Tf 123.397 501.86 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(pr)18(oblem)-250(communication)-250(descriptor)74(.)-310(Scope:)]TJ/F59 9.9626 Tf 208.625 0 Td [(local)]TJ/F62 9.9626 Tf -217.183 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(communication)-250(data)-250(str)8(uctur)18(e)]TJ +/F84 9.9626 Tf 9.963 0 Td [(the)-250(pr)18(oblem)-250(communication)-250(descriptor)74(.)-310(Scope:)]TJ/F75 9.9626 Tf 208.625 0 Td [(local)]TJ/F84 9.9626 Tf -217.492 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(communication)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 200.207 0 Td [(psb)]TJ +/F131 9.9626 Tf 200.207 0 Td [(psb)]TJ ET q -1 0 0 1 392.137 466.194 cm +1 0 0 1 341.328 466.194 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 395.275 465.994 Td [(desc)]TJ +/F131 9.9626 Tf 344.466 465.994 Td [(desc)]TJ ET q -1 0 0 1 416.824 466.194 cm +1 0 0 1 366.015 466.194 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 419.963 465.994 Td [(type)]TJ +/F131 9.9626 Tf 369.153 465.994 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -290.179 -19.925 Td [(trans)]TJ +/F75 9.9626 Tf -290.179 -19.925 Td [(trans)]TJ 0 g 0 G -/F62 9.9626 Tf 27.666 0 Td [(Scope:)]TJ -2.76 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)74(.)]TJ +/F84 9.9626 Tf 27.666 0 Td [(Scope:)]TJ -3.068 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)74(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.906 -19.926 Td [(work)]TJ +/F75 9.9626 Tf -24.907 -19.926 Td [(work)]TJ 0 g 0 G -/F62 9.9626 Tf 28.782 0 Td [(an)-250(optional)-250(work)-250(space)-250(Scope:)]TJ/F59 9.9626 Tf 136.476 0 Td [(local)]TJ/F62 9.9626 Tf -140.352 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(optional)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(double)-250(pr)18(ecision)-250(array)111(.)]TJ +/F84 9.9626 Tf 28.782 0 Td [(an)-250(optional)-250(work)-250(space)-250(Scope:)]TJ/F75 9.9626 Tf 136.477 0 Td [(local)]TJ/F84 9.9626 Tf -140.661 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(double)-250(pr)18(ecision)-250(array)111(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.906 -21.918 Td [(On)-250(Return)]TJ +/F75 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(y)]TJ 0 g 0 G -/F62 9.9626 Tf 10.52 0 Td [(the)-250(destination)-250(vector)74(.)-310(Scope:)]TJ/F59 9.9626 Tf 131.914 0 Td [(local)]TJ/F62 9.9626 Tf -117.528 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(inout)]TJ/F62 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ +/F84 9.9626 Tf 10.521 0 Td [(the)-250(destination)-250(vector)74(.)-310(Scope:)]TJ/F75 9.9626 Tf 131.913 0 Td [(local)]TJ/F84 9.9626 Tf -117.836 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 218.688 0 Td [(psb)]TJ +/F131 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q -1 0 0 1 410.618 276.904 cm +1 0 0 1 359.808 276.904 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 413.756 276.704 Td [(T)]TJ +/F131 9.9626 Tf 362.947 276.704 Td [(T)]TJ ET q -1 0 0 1 419.614 276.904 cm +1 0 0 1 368.804 276.904 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 422.752 276.704 Td [(vect)]TJ +/F131 9.9626 Tf 371.943 276.704 Td [(vect)]TJ ET q -1 0 0 1 444.301 276.904 cm +1 0 0 1 393.492 276.904 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 447.439 276.704 Td [(type)]TJ +/F131 9.9626 Tf 396.63 276.704 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -317.656 -19.925 Td [(info)]TJ +/F75 9.9626 Tf -317.656 -19.925 Td [(info)]TJ 0 g 0 G -/F62 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(out)]TJ/F62 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -47.133 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G - 139.477 -118.52 Td [(154)]TJ + 139.866 -118.52 Td [(157)]TJ 0 g 0 G ET endstream endobj -1996 0 obj +2017 0 obj << -/Length 3387 +/Length 3489 >> stream 0 g 0 G 0 g 0 G BT -/F59 11.9552 Tf 99.895 706.129 Td [(10.4)-1000(descr)-250(\227)-250(Prints)-250(a)-250(description)-250(of)-250(current)-250(preconditioner)]TJ +/F75 11.9552 Tf 150.705 706.129 Td [(10.5)-1000(descr)-250(\227)-250(Prints)-250(a)-250(description)-250(of)-250(current)-250(preconditioner)]TJ 0 g 0 G 0 g 0 G -/F67 9.9626 Tf 0 -18.964 Td [(call)-525(prec%descr\050info\051)]TJ 0 -11.955 Td [(call)-525(prec%descr\050info,iout,)-525(root\051)]TJ +/F131 9.9626 Tf 0 -18.964 Td [(call)-525(prec%descr\050info\051)]TJ 0 -11.955 Td [(call)-525(prec%descr\050info,iout,)-525(root\051)]TJ 0 g 0 G -/F59 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F84 9.9626 Tf 29.439 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.439 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F62 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F59 9.9626 Tf 117.836 0 Td [(local)]TJ/F62 9.9626 Tf -117.278 -11.956 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F84 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F75 9.9626 Tf 117.837 0 Td [(local)]TJ/F84 9.9626 Tf -117.587 -11.956 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 196.511 0 Td [(psb)]TJ +/F131 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q -1 0 0 1 337.631 577.775 cm +1 0 0 1 388.441 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 340.77 577.576 Td [(prec)]TJ +/F131 9.9626 Tf 391.579 577.576 Td [(prec)]TJ ET q -1 0 0 1 362.319 577.775 cm +1 0 0 1 413.128 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 365.457 577.576 Td [(type)]TJ +/F131 9.9626 Tf 416.266 577.576 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -286.483 -19.925 Td [(iout)]TJ +/F75 9.9626 Tf -286.483 -19.925 Td [(iout)]TJ 0 g 0 G -/F62 9.9626 Tf 23.243 0 Td [(output)-250(unit.)-310(Scope:)]TJ/F59 9.9626 Tf 87.391 0 Td [(local)]TJ/F62 9.9626 Tf -85.727 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(number)74(.)-310(Default:)-310(default)-250(output)-250(unit.)]TJ +/F84 9.9626 Tf 23.243 0 Td [(output)-250(unit.)-310(Scope:)]TJ/F75 9.9626 Tf 87.39 0 Td [(local)]TJ/F84 9.9626 Tf -86.035 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf -26.78 -11.956 Td [(Intent:)]TJ/F75 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[(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +0 g 0 G + 139.865 -173.35 Td [(164)]TJ +0 g 0 G +ET + +endstream +endobj +2064 0 obj +<< +/Length 8758 +>> +stream +0 g 0 G +0 g 0 G +BT +/F75 11.9552 Tf 99.895 706.129 Td [(11.2)-1000(psb)]TJ +ET +q +1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F59 11.9552 Tf 207.803 706.129 Td [(richardson)-250(\227)-250(Richardson)-250(Iteration)-250(Driver)-250(Routine)]TJ/F62 9.9626 Tf -57.098 -19.209 Td [(This)-250(subr)18(outine)-250(is)-250(a)-250(driver)-250(implementig)-250(a)-250(Richar)18(dson)-250(iteration)]TJ/F60 9.9626 Tf 110.849 -22.171 Td [(x)]TJ/F60 7.5716 Tf 5.2 -2.085 Td [(k)]TJ/F93 7.8896 Tf 3.589 0 Td [(+)]TJ/F62 7.5716 Tf 6.227 0 Td [(1)]TJ/F93 10.3811 Tf 7.176 2.085 Td [(=)]TJ/F60 9.9626 Tf 11.535 0 Td [(M)]TJ/F91 7.8896 Tf 9.673 4.115 Td [(\000)]TJ/F62 9.9626 Tf 6.726 -4.115 Td [(1)]TJ/F93 10.3811 Tf 5.106 0 Td [(\050)]TJ/F60 9.9626 Tf 4.274 0 Td [(b)]TJ/F91 10.3811 Tf 6.799 0 Td [(\000)]TJ/F60 9.9626 Tf 10.754 0 Td [(A)-42(x)]TJ/F60 7.5716 Tf 12.811 -2.085 Td [(k)]TJ/F93 10.3811 Tf 4.117 2.085 Td [(\051)-209(+)]TJ/F60 9.9626 Tf 16.637 0 Td [(x)]TJ/F60 7.5716 Tf 5.2 -2.085 Td [(k)]TJ/F62 9.9626 Tf 3.992 2.085 Td [(,)]TJ -230.665 -22.17 Td [(with)-250(the)-250(pr)18(econditioner)-250(operator)]TJ/F60 9.9626 Tf 147.599 0 Td [(M)]TJ/F62 9.9626 Tf 12.07 0 Td [(de\002ned)-250(in)-250(the)-250(pr)18(evious)-250(section.)]TJ -144.725 -12.082 Td [(The)-250(stopping)-250(criterion)-250(can)-250(take)-250(the)-250(following)-250(values:)]TJ +/F75 11.9552 Tf 156.993 706.129 Td [(richardson)-250(\227)-250(Richardson)-250(Iteration)-250(Driver)-250(Routine)]TJ/F84 9.9626 Tf -57.406 -19.209 Td [(This)-250(subr)18(outine)-250(is)-250(a)-250(driver)-250(implementig)-250(a)-250(Richar)18(dson)-250(iteration)]TJ/F78 9.9626 Tf 111.157 -22.171 Td [(x)]TJ/F78 7.5716 Tf 5.2 -2.085 Td [(k)]TJ/F181 7.8896 Tf 3.589 0 Td [(+)]TJ/F84 7.5716 Tf 6.228 0 Td [(1)]TJ/F181 10.3811 Tf 7.176 2.085 Td [(=)]TJ/F78 9.9626 Tf 11.534 0 Td [(M)]TJ/F179 7.8896 Tf 9.674 4.115 Td [(\000)]TJ/F84 9.9626 Tf 6.726 -4.115 Td [(1)]TJ/F181 10.3811 Tf 5.105 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(b)]TJ/F179 10.3811 Tf 6.799 0 Td [(\000)]TJ/F78 9.9626 Tf 10.754 0 Td [(A)-42(x)]TJ/F78 7.5716 Tf 12.812 -2.085 Td [(k)]TJ/F181 10.3811 Tf 4.117 2.085 Td [(\051)-209(+)]TJ/F78 9.9626 Tf 16.636 0 Td [(x)]TJ/F78 7.5716 Tf 5.201 -2.085 Td [(k)]TJ/F84 9.9626 Tf 3.992 2.085 Td [(,)]TJ -231.084 -22.17 Td [(with)-250(the)-250(pr)18(econditioner)-250(operator)]TJ/F78 9.9626 Tf 147.599 0 Td [(M)]TJ/F84 9.9626 Tf 12.07 0 Td [(de\002ned)-250(in)-250(the)-250(pr)18(evious)-250(section.)]TJ -144.307 -12.082 Td [(The)-250(stopping)-250(criterion)-250(can)-250(take)-250(the)-250(following)-250(values:)]TJ 0 g 0 G -/F59 9.9626 Tf -14.944 -20.304 Td [(1)]TJ +/F75 9.9626 Tf -14.944 -20.304 Td [(1)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(normwise)-222(backwar)18(d)-221(err)18(or)-222(in)-222(th)1(e)-222(in\002nity)-222(norm;)-231(the)-221(iteration)-222(is)-222(stopped)-221(when)]TJ/F60 9.9626 Tf 109.036 -28.557 Td [(e)-15(r)-25(r)]TJ/F93 10.3811 Tf 15.141 0 Td [(=)]TJ/F91 10.3811 Tf 40.619 6.745 Td [(k)]TJ/F60 9.9626 Tf 5.34 0 Td [(r)]TJ/F60 7.5716 Tf 4.042 -1.96 Td [(i)]TJ/F91 10.3811 Tf 2.875 1.96 Td [(k)]TJ +/F84 9.9626 Tf 0.99 0 0 1 109.858 610.193 Tm [(normwise)-252(backwar)18(d)-253(err)18(or)-252(in)-253(the)-252(in\002nity)-253(norm;)-252(the)-253(iteration)-252(is)-253(stopped)-252(when)]TJ/F78 9.9626 Tf 1 0 0 1 218.894 581.636 Tm [(e)-15(r)-25(r)]TJ/F181 10.3811 Tf 15.14 0 Td [(=)]TJ/F179 10.3811 Tf 40.62 6.745 Td [(k)]TJ/F78 9.9626 Tf 5.34 0 Td [(r)]TJ/F78 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F179 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q -1 0 0 1 297.001 584.127 cm +1 0 0 1 246.191 584.127 cm []0 d 0 J 0.398 w 0 0 m 74.372 0 l S Q BT -/F93 10.3811 Tf 297.125 574.802 Td [(\050)]TJ/F91 10.3811 Tf 4.274 0 Td [(k)]TJ/F60 9.9626 Tf 5.938 0 Td [(A)]TJ/F91 10.3811 Tf 7.442 0 Td [(k)-24(k)]TJ/F60 9.9626 Tf 11.048 0 Td [(x)]TJ/F60 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F91 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F93 10.3811 Tf 7.377 0 Td [(+)]TJ/F91 10.3811 Tf 10.255 0 Td [(k)]TJ/F60 9.9626 Tf 5.44 0 Td [(b)]TJ/F91 10.3811 Tf 4.862 0 Td [(k)]TJ/F93 10.3811 Tf 5.439 0 Td [(\051)]TJ/F69 10.3811 Tf 8.237 6.834 Td [(<)]TJ/F60 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ +/F181 10.3811 Tf 246.316 574.802 Td [(\050)]TJ/F179 10.3811 Tf 4.274 0 Td [(k)]TJ/F78 9.9626 Tf 5.938 0 Td [(A)]TJ/F179 10.3811 Tf 7.442 0 Td [(k)-24(k)]TJ/F78 9.9626 Tf 11.048 0 Td [(x)]TJ/F78 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F179 10.3811 Tf 2.876 1.96 Td [(k)]TJ/F181 10.3811 Tf 7.376 0 Td [(+)]TJ/F179 10.3811 Tf 10.256 0 Td [(k)]TJ/F78 9.9626 Tf 5.44 0 Td [(b)]TJ/F179 10.3811 Tf 4.861 0 Td [(k)]TJ/F181 10.3811 Tf 5.44 0 Td [(\051)]TJ/F134 10.3811 Tf 8.236 6.834 Td [(<)]TJ/F78 9.9626 Tf 11.087 0 Td [(e)-80(p)-25(s)]TJ 0 g 0 G -/F59 9.9626 Tf -235.841 -32.142 Td [(2)]TJ +/F75 9.9626 Tf -235.842 -32.142 Td [(2)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(Relative)-250(r)18(esidual)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F60 9.9626 Tf 136.209 -28.557 Td [(e)-15(r)-25(r)]TJ/F93 10.3811 Tf 15.14 0 Td [(=)]TJ/F91 10.3811 Tf 13.446 6.745 Td [(k)]TJ/F60 9.9626 Tf 5.34 0 Td [(r)]TJ/F60 7.5716 Tf 4.042 -1.96 Td [(i)]TJ/F91 10.3811 Tf 2.875 1.96 Td [(k)]TJ +/F84 9.9626 Tf 9.963 0 Td [(Relative)-250(r)18(esidual)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F78 9.9626 Tf 136.209 -28.557 Td [(e)-15(r)-25(r)]TJ/F181 10.3811 Tf 15.141 0 Td [(=)]TJ/F179 10.3811 Tf 13.446 6.745 Td [(k)]TJ/F78 9.9626 Tf 5.34 0 Td [(r)]TJ/F78 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F179 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q -1 0 0 1 324.174 523.428 cm +1 0 0 1 273.365 523.428 cm []0 d 0 J 0.398 w 0 0 m 20.025 0 l S Q BT -/F91 10.3811 Tf 324.299 514.103 Td [(k)]TJ/F60 9.9626 Tf 5.439 0 Td [(b)]TJ/F91 10.3811 Tf 4.862 0 Td [(k)]TJ/F62 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F69 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F60 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ +/F179 10.3811 Tf 273.49 514.103 Td [(k)]TJ/F78 9.9626 Tf 5.439 0 Td [(b)]TJ/F179 10.3811 Tf 4.862 0 Td [(k)]TJ/F84 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F134 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F78 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ 0 g 0 G -/F59 9.9626 Tf -208.667 -32.082 Td [(3)]TJ +/F75 9.9626 Tf -208.668 -32.082 Td [(3)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(Relative)-250(r)18(esidual)-250(r)18(eduction)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F60 9.9626 Tf 134.486 -28.556 Td [(e)-15(r)-25(r)]TJ/F93 10.3811 Tf 15.141 0 Td [(=)]TJ/F91 10.3811 Tf 15.169 6.744 Td [(k)]TJ/F60 9.9626 Tf 5.34 0 Td [(r)]TJ/F60 7.5716 Tf 4.042 -1.96 Td [(i)]TJ/F91 10.3811 Tf 2.875 1.96 Td [(k)]TJ +/F84 9.9626 Tf 9.963 0 Td [(Relative)-250(r)18(esidual)-250(r)18(eduction)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F78 9.9626 Tf 134.486 -28.556 Td [(e)-15(r)-25(r)]TJ/F181 10.3811 Tf 15.14 0 Td [(=)]TJ/F179 10.3811 Tf 15.17 6.744 Td [(k)]TJ/F78 9.9626 Tf 5.34 0 Td [(r)]TJ/F78 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F179 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q -1 0 0 1 322.451 462.789 cm +1 0 0 1 271.641 462.789 cm []0 d 0 J 0.398 w 0 0 m 23.472 0 l S Q BT -/F91 10.3811 Tf 322.575 453.464 Td [(k)]TJ/F60 9.9626 Tf 5.34 0 Td [(r)]TJ/F62 7.5716 Tf 4 -1.744 Td [(0)]TJ/F91 10.3811 Tf 4.409 1.744 Td [(k)]TJ/F62 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F69 10.3811 Tf 8.371 8.579 Td [(<)]TJ/F60 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ/F62 9.9626 Tf -210.391 -32.083 Td [(The)-248(behaviour)-248(is)-248(contr)18(olled)-249(by)-248(the)-248(istop)-248(ar)18(gument)-248(\050see)-248(later\051.)-310(In)-248(the)-248(above)-248(for)18(-)]TJ 0 -11.955 Td [(mulae,)]TJ/F60 9.9626 Tf 32.809 0 Td [(x)]TJ/F60 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F62 9.9626 Tf 5.304 1.96 Td [(is)-256(the)-256(tentative)-256(solution)-257(and)]TJ/F60 9.9626 Tf 125.144 0 Td [(r)]TJ/F60 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F93 10.3811 Tf 5.757 1.96 Td [(=)]TJ/F60 9.9626 Tf 11.201 0 Td [(b)]TJ/F91 10.3811 Tf 6.821 0 Td [(\000)]TJ/F60 9.9626 Tf 10.777 0 Td [(A)-42(x)]TJ/F60 7.5716 Tf 12.759 -1.96 Td [(i)]TJ/F62 9.9626 Tf 5.303 1.96 Td [(the)-256(corr)18(esponding)-256(r)18(esidual)]TJ -225.063 -11.955 Td [(at)-250(the)]TJ/F60 9.9626 Tf 27.083 0 Td [(i)]TJ/F62 9.9626 Tf 2.964 0 Td [(-th)-250(iteration.)]TJ -28.306 -18.186 Td [(c)-175(a)-175(l)-174(l)-888(p)-113(s)-113(b)]TJ +/F179 10.3811 Tf 271.766 453.464 Td [(k)]TJ/F78 9.9626 Tf 5.34 0 Td [(r)]TJ/F84 7.5716 Tf 4 -1.744 Td [(0)]TJ/F179 10.3811 Tf 4.408 1.744 Td [(k)]TJ/F84 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F134 10.3811 Tf 8.371 8.579 Td [(<)]TJ/F78 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ/F84 9.9626 Tf 1.02 0 0 1 99.587 428.217 Tm [(The)-333(behaviour)-333(is)-333(contr)18(olled)-333(by)-333(the)-333(istop)-333(ar)18(gument)-333(\050see)-333(later\051.)-567(In)-333(the)-333(above)]TJ 0.98 0 0 1 99.895 416.261 Tm [(formulae,)]TJ/F78 9.9626 Tf 1 0 0 1 144.027 416.261 Tm [(x)]TJ/F78 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F84 9.9626 Tf 0.98 0 0 1 153.866 416.261 Tm [(is)-199(the)-199(tentat)1(ive)-199(solution)-199(and)]TJ/F78 9.9626 Tf 1 0 0 1 273.705 416.261 Tm [(r)]TJ/F78 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F181 10.3811 Tf 5.643 1.96 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(b)]TJ/F179 10.3811 Tf 6.29 0 Td [(\000)]TJ/F78 9.9626 Tf 10.245 0 Td [(A)-42(x)]TJ/F78 7.5716 Tf 12.758 -1.96 Td [(i)]TJ/F84 9.9626 Tf 0.98 0 0 1 328.46 416.261 Tm [(the)-199(corr)19(esponding)-199(r)18(esidual)]TJ 1 0 0 1 99.895 404.306 Tm [(at)-250(the)]TJ/F78 9.9626 Tf 27.083 0 Td [(i)]TJ/F84 9.9626 Tf 2.964 0 Td [(-th)-250(iteration.)]TJ -28.305 -18.185 Td [(c)-175(a)-175(l)-174(l)-888(p)-113(s)-113(b)]TJ ET q -1 0 0 1 201.407 386.32 cm +1 0 0 1 150.598 386.32 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 205.52 386.121 Td [(r)-113(i)-113(c)-112(h)-113(a)-113(r)-113(d)-113(s)-112(o)-113(n)-247(\050)-166(a)-242(,)-255(p)-80(r)-81(e)-80(c)-335(,)-191(b)-206(,)-203(x)-231(,)-234(e)-60(p)-59(s)-293(,)-273(d)-98(e)-97(s)-98(c)]TJ +/F84 9.9626 Tf 154.71 386.121 Td [(r)-113(i)-113(c)-112(h)-113(a)-113(r)-113(d)-113(s)-113(o)-112(n)-247(\050)-166(a)-242(,)-255(p)-80(r)-81(e)-80(c)-335(,)-191(b)-206(,)-203(x)-231(,)-234(e)-60(p)-59(s)-293(,)-273(d)-98(e)-98(s)-97(c)]TJ ET q -1 0 0 1 384.896 386.32 cm +1 0 0 1 334.087 386.32 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F62 9.9626 Tf 388.859 386.121 Td [(a)-371(,)-283(i)-108(n)-108(f)-108(o)-273(,)-57(&)]TJ -209.153 -11.956 Td [(&)-580(i)-69(t)-69(m)-70(a)-69(x)-313(,)-327(i)-151(t)-152(e)-151(r)-478(,)-281(e)-107(r)-106(r)-387(,)-321(i)-145(t)-146(r)-146(a)-145(c)-146(e)-466(,)-311(i)-135(s)-135(t)-136(o)-135(p)-269(\051)]TJ +/F84 9.9626 Tf 338.05 386.121 Td [(a)-370(,)-283(i)-108(n)-109(f)-108(o)-273(,)-57(&)]TJ -209.153 -11.956 Td [(&)-580(i)-69(t)-69(m)-70(a)-69(x)-313(,)-327(i)-151(t)-152(e)-151(r)-478(,)-281(e)-107(r)-106(r)-387(,)-321(i)-145(t)-146(r)-146(a)-145(c)-146(e)-466(,)-311(i)-135(s)-135(t)-136(o)-135(p)-269(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -29.001 -28.653 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf -29.002 -28.653 Td [(T)90(ype:)]TJ 0 g 0 G -/F62 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F84 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F59 9.9626 Tf -29.828 -20.431 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -20.431 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.431 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.962 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(sparse)-250(matrix)]TJ/F60 9.9626 Tf 178.414 0 Td [(A)]TJ/F62 9.9626 Tf 7.318 0 Td [(.)]TJ -170.788 -11.956 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(sparse)-250(matrix)]TJ/F78 9.9626 Tf 178.414 0 Td [(A)]TJ/F84 9.9626 Tf 7.317 0 Td [(.)]TJ -170.787 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 360.068 257.028 cm +1 0 0 1 309.258 257.028 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 363.206 256.829 Td [(Tspmat)]TJ +/F131 9.9626 Tf 312.397 256.829 Td [(Tspmat)]TJ ET q -1 0 0 1 395.216 257.028 cm +1 0 0 1 344.406 257.028 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 398.354 256.829 Td [(type)]TJ +/F131 9.9626 Tf 347.544 256.829 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -268.57 -20.431 Td [(prec)]TJ +/F75 9.9626 Tf -268.571 -20.431 Td [(prec)]TJ 0 g 0 G -/F62 9.9626 Tf 24.348 0 Td [(The)-250(data)-250(str)8(uctur)18(e)-250(containing)-250(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.089 0 Td [(required)]TJ/F62 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.801 0 Td [(in)]TJ/F62 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 24.04 0 Td [(The)-250(data)-250(str)8(uctur)18(e)-250(containing)-250(the)-250(pr)18(econditioner)74(.)]TJ 0.867 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.741 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.779 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 360.068 188.777 cm +1 0 0 1 309.258 188.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 363.206 188.577 Td [(prec)]TJ +/F131 9.9626 Tf 312.397 188.577 Td [(prec)]TJ ET q -1 0 0 1 384.755 188.777 cm +1 0 0 1 333.945 188.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 387.893 188.577 Td [(type)]TJ +/F131 9.9626 Tf 337.084 188.577 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td 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[(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 218.688 0 Td [(psb)]TJ +/F131 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q -1 0 0 1 410.618 120.525 cm +1 0 0 1 359.808 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 413.756 120.326 Td [(T)]TJ +/F131 9.9626 Tf 362.947 120.326 Td [(T)]TJ ET q -1 0 0 1 419.614 120.525 cm +1 0 0 1 368.804 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 422.752 120.326 Td [(vect)]TJ +/F131 9.9626 Tf 371.943 120.326 Td [(vect)]TJ ET q -1 0 0 1 444.301 120.525 cm +1 0 0 1 393.492 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 447.439 120.326 Td [(type)]TJ +/F131 9.9626 Tf 396.63 120.326 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.922 0 Td [(.)]TJ +/F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - -153.273 -29.888 Td [(162)]TJ + -153.272 -29.888 Td [(165)]TJ 0 g 0 G ET endstream endobj -2052 0 obj +2073 0 obj << -/Length 6698 +/Length 6806 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F59 9.9626 Tf 99.895 706.129 Td [(x)]TJ +/F75 9.9626 Tf 150.705 706.129 Td [(x)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(The)-250(initial)-250(guess.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(inout)]TJ/F62 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.654 0 Td [(The)-250(initial)-250(guess.)]TJ 15.252 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 218.688 0 Td [(psb)]TJ +/F131 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q -1 0 0 1 359.808 658.507 cm +1 0 0 1 410.618 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 362.947 658.308 Td [(T)]TJ +/F131 9.9626 Tf 413.756 658.308 Td [(T)]TJ ET q -1 0 0 1 368.804 658.507 cm +1 0 0 1 419.614 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 371.943 658.308 Td [(vect)]TJ +/F131 9.9626 Tf 422.752 658.308 Td [(vect)]TJ ET q -1 0 0 1 393.492 658.507 cm +1 0 0 1 444.301 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 396.63 658.308 Td [(type)]TJ +/F131 9.9626 Tf 447.439 658.308 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -317.656 -19.427 Td [(eps)]TJ +/F75 9.9626 Tf -317.656 -19.427 Td [(eps)]TJ 0 g 0 G -/F62 9.9626 Tf 20.474 0 Td [(The)-250(stopping)-250(tolerance.)]TJ 4.433 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(r)18(eal)-250(number)74(.)]TJ +/F84 9.9626 Tf 20.164 0 Td [(The)-250(stopping)-250(tolerance.)]TJ 4.742 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -/F59 9.9626 Tf -24.907 -19.427 Td [(desc)]TJ +/F75 9.9626 Tf -24.906 -19.427 Td [(desc)]TJ ET q -1 0 0 1 120.408 571.832 cm +1 0 0 1 171.218 571.832 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F59 9.9626 Tf 123.397 571.633 Td [(a)]TJ +/F75 9.9626 Tf 174.207 571.633 Td [(a)]TJ 0 g 0 G -/F62 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(local)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(required)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F84 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(local)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F67 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F131 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 309.258 524.012 cm +1 0 0 1 360.068 524.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 312.397 523.813 Td [(desc)]TJ +/F131 9.9626 Tf 363.206 523.813 Td [(desc)]TJ ET q -1 0 0 1 333.945 524.012 cm +1 0 0 1 384.755 524.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F67 9.9626 Tf 337.084 523.813 Td [(type)]TJ +/F131 9.9626 Tf 387.893 523.813 Td [(type)]TJ 0 g 0 G -/F62 9.9626 Tf 20.921 0 Td [(.)]TJ +/F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F59 9.9626 Tf -258.11 -19.428 Td [(itmax)]TJ +/F75 9.9626 Tf -258.11 -19.428 Td [(itmax)]TJ 0 g 0 G -/F62 9.9626 Tf 30.436 0 Td [(The)-250(maximum)-250(number)-250(of)-250(iterations)-250(to)-250(perform.)]TJ -5.529 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F60 9.9626 Tf 38.57 0 Td [(i)-32(t)-25(m)-40(a)-42(x)]TJ/F93 10.3811 Tf 27.743 0 Td [(=)]TJ/F62 9.9626 Tf 10.962 0 Td [(1000.)]TJ -77.275 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable)]TJ/F60 9.9626 Tf 142.349 0 Td [(i)-32(t)-25(m)-40(a)-42(x)]TJ/F91 10.3811 Tf 27.744 0 Td [(\025)]TJ/F62 9.9626 Tf 10.961 0 Td [(1.)]TJ +/F84 9.9626 Tf 30.127 0 Td [(The)-250(maximum)-250(number)-250(of)-250(iterations)-250(to)-250(perform.)]TJ -5.221 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F78 9.9626 Tf 38.57 0 Td [(i)-32(t)-25(m)-40(a)-42(x)]TJ/F181 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[(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F60 9.9626 Tf 38.57 0 Td [(i)-32(t)-15(r)-50(a)-25(c)-25(e)]TJ/F93 10.3811 Tf 26.797 0 Td [(=)]TJ/F91 10.3811 Tf 11.086 0 Td [(\000)]TJ/F62 9.9626 Tf 8.194 0 Td [(1.)]TJ +/F84 9.9626 Tf 0.98 0 0 1 180.583 425.182 Tm [(If)]TJ/F134 10.3811 Tf 1 0 0 1 189.481 425.182 Tm [(>)]TJ/F84 9.9626 Tf 0.98 0 0 1 200.443 425.182 Tm [(0)-229(print)-228(out)-229(an)-229(informational)-228(message)-229(about)-229(conver)19(gence)-229(every)]TJ/F78 9.9626 Tf 1 0 0 1 470.511 425.182 Tm [(i)-32(t)-15(r)-50(a)-25(c)-25(e)]TJ/F84 9.9626 Tf -294.9 -11.955 Td [(iterations.)-310(If)]TJ/F181 10.3811 Tf 56.313 0 Td [(=)]TJ/F84 9.9626 Tf 10.962 0 Td [(0)-250(print)-250(a)-250(message)-250(in)-250(case)-250(of)-250(conver)18(gence)-250(failur)18(e.)]TJ -67.275 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf -31.74 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(optional)]TJ/F84 9.9626 Tf -26.78 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F78 9.9626 Tf 38.57 0 Td [(i)-32(t)-15(r)-50(a)-25(c)-25(e)]TJ/F181 10.3811 Tf 26.797 0 Td [(=)]TJ/F179 10.3811 Tf 11.086 0 Td [(\000)]TJ/F84 9.9626 Tf 8.194 0 Td [(1.)]TJ 0 g 0 G -/F59 9.9626 Tf -109.554 -31.383 Td [(istop)]TJ +/F75 9.9626 Tf -109.553 -31.383 Td [(istop)]TJ 0 g 0 G -/F62 9.9626 Tf 27.666 0 Td [(An)-250(integer)-250(specifying)-250(the)-250(stopping)-250(criterion.)]TJ -2.759 -11.955 Td [(Scope:)]TJ/F59 9.9626 Tf 31.432 0 Td [(global)]TJ/F62 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F59 9.9626 Tf 27.088 0 Td [(optional)]TJ/F62 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F59 9.9626 Tf 31.8 0 Td [(in)]TJ/F62 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td 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Nowacki (on behalf of TeX USERS GROUPS).)readonly def -/FullName(LMMono10-Italic)readonly def -/FamilyName(LMMono10)readonly def -/Weight(Normal)readonly def -/isFixedPitch true def -/ItalicAngle -14.0362 def -/UnderlinePosition -167 def -/UnderlineThickness 69 def -end readonly def -/FontName /XVBOSG+LMMono10-Italic def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 65 /A put -dup 67 /C put -dup 68 /D put -dup 69 /E put -dup 72 /H put -dup 73 /I put -dup 75 /K put -dup 76 /L put -dup 77 /M put -dup 80 /P put -dup 84 /T put -dup 86 /V put -dup 97 /a put -dup 99 /c put -dup 44 /comma put -dup 100 /d put -dup 101 /e put -dup 33 /exclam put -dup 102 /f put -dup 103 /g put -dup 104 /h put -dup 45 /hyphen put -dup 105 /i put -dup 107 /k put -dup 109 /m put -dup 110 /n put -dup 111 /o put -dup 112 /p put -dup 40 /parenleft put -dup 41 /parenright put -dup 46 /period put -dup 114 /r put -dup 115 /s put -dup 47 /slash put -dup 116 /t put -dup 119 /w put -dup 120 /x put -dup 121 /y put -readonly def -/PaintType 0 def -/FontType 1 def -/StrokeWidth 0 def -/FontMatrix[0.001 0 0 0.001 0 0]readonly def -%/UniqueID 0 def -/FontBBox{-491 -316 834 1016}readonly def -currentdict end -currentfile eexec -oc;j~EЪ%9.>XJٚмD"e?&oLH:]~nX%l޹dQ@a~M~EA˟V.UM؀")JY4қ UC92"\ܡw1rlxнtaA*`JpZ+TX] >:|smea댍؄lv+:ɋD([ՈGJJOęIz&EnqJEz&Cxh+ rnnDgEaw'}|ܠꜱ$%É ׍ZVgHTC(I_H7}$¹%\yOaۋ'Oiȑi'%o2{PQwCX7%S?s~u'iiq쳀N 3w QE:u廕=L)Moi\d!<0ZER%qa` k)V&#RITxMk'ek) }I\qG#Ov1;dpV5 <^c ./#QEUhZOGUce5E«Ir&v1U4́SN7pkVe^qT"ĕ>UѪj "*Ú}I璘]KА}_pMV|~mv5ѰQ+-0"&'O` imh)6kּeyj/ۈjoA4XD1GvJC2X:.'I|7ߐO֗1_r:~8Up֡aEr}Cw {˱ l[]WVz,U+gR訑hiL][cm>ǘbT08٩VAx`! w -.rm){z"5xK09u@QjS_{|'/ VF.Z!z;jp.HR{hBA+i*?IPaHȅr!~o 2A9 SO}Ğ~4'FgCp|x{Z(HK a[,~m3,Ti=EXa}b9-[J"O{R1* -l7H.Hͺｧ+2y޺ŦkPGvՔ|q+D@i㻽IhJeH=ou?60+٥r)tljRho1WLdO(b=5Ne@cH&͕!T -)Wz"_׶̉VfIfygEY< QJU$wxSGZcT* OTc bGn5ަ2TMehX=,p8 W.^ F`z@}4奞3  YcpìcQa馦m+rf]kLfz/Z=]n}x8HțQ;}7hG ZEףjL*m]۴gN>2\s5ϊ]ki'llG^}U?fMUJf&cvRma0$UnѓIjV;9I7By`CٖgRjQb60y ,>v}JbXgPx|<͒U%`լU.` -׽Y) C ÒNև0FN 0+jI& -{e~_'X^jRT:3䘙79r֗[X0%lOX?V'fmGmZlB ⺵ˑ1mfIIQywH(xtY8fRb5jt닮N;tKQҖ_םH<c8G`dP]j|j -&ɶc>(_&;y¦ Ԑ] -])Jb> w33ڞξ`ŝSvm߿LoN"uoqӖ[cg 7'BwGɈ -U|$]4bakЃ 6[qzBv_.Av$ϱWBȍ̡ m~|D^ʉ.8.L쏴ü62`dƅt|]E04$?kJ!Xg ^bӣJۈ }3f$4P-duAz)]{'a[`Bw~v9+A ^9Wfզ[J8~@%|F,ȁTh՛ڏ -rg3 -,Rp؋4eH?6jQx[-Ɓ-ظy'("_T۴$43/|,c -TXЄ M[JC~}Pq_yL+ ݢN~׈Tr -]uİE)bE{=leݶ  -;S IW4Zi*I.+NyqW .U>u} `l$DS3oFo3,Ti=EXt94E%$^F!}7S7kDs#+6'1rf*go&z* {Nl'{{i5,>gJSV~]X;1F!!u>c+&ZOqd4IGRiΌI zwko|i{2 [0B(-Tn/æe/oJ~PI!|!sdUg~2MCKK"K&==~[*ӡ$‘vbж#ǯhR|-u2 SyH+uFXޱ{A'P7&O1UaO_ˆ.esgO3LIRUMDYIZEn&rҖ?s%Lb?3Q*Bh{Kfr岿Qd Ԡ`uʼn~qvb}^Z 0G>Ѕ"ʸiX쐻1($j2jnGƁgNE^xl5v߲ɾ"ϔasRWԔ1Sbן6,0]8e -Ï!Z=Qo$l{Gky|-zWܿnE~#s'Fp^?Jm7EψP:ns/}묬Zb|QOdݢ}xnadW/יUhNo&H}nfnWb8`+ s}+RF5Pwd --4L3<3vjSf}2dLs1$}۴X=\ V0'ޖ yT-d(3k%R`ǺZGfk򋝂'ҳ%xr -ݞ*dD)!h^Av΋l;,X#RhJ H!58+ȢKy K]R^B <>5(nӲbz){yC&Fos%6) -̱O|%#8|l%Yni7?b#@IF"MX ³}kxzA)&#i:ALkip¦?? 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-"|g3 pB!ڧ)G%J9lMo Z/ĮܑӦZegM<g}U|lr䝳~Yd}RtR(1_*J\-yu[JjrA%Z׋=Ls5'.Εp\ -Ǵl\*O_g7Jb ;lE˦O~7,'12w?d}5\YʢI(pm +_uu9c1{QZ%11A\JV;`fsX;:M4/  }j~V=kj=Њg$'o*C2_. -22&0Dܟub#Y?&OG'7Ei͔Ɲ' -z-Z)Zp)ҚrJjc0D#+ko{.^[4M)vZ(S$ksFUmn8pfeqQxPRed֕ -endstream -endobj -2255 0 obj -<< -/Length1 1614 -/Length2 22531 -/Length3 0 -/Length 24145 ->> -stream -%!PS-AdobeFont-1.0: URWPalladioL-Bold 1.05 -%%CreationDate: Wed Dec 22 1999 -% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development -% (URW)++,Copyright 1999 by (URW)++ Design & Development -% See the file COPYING (GNU General Public License) for license conditions. -% As a special exception, permission is granted to include this font -% program in a Postscript or PDF file that consists of a document that -% contains text to be displayed or printed using this font, regardless -% of the conditions or license applying to the document itself. -12 dict begin -/FontInfo 10 dict dup begin -/version (1.05) readonly def -/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def -/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def -/FullName (URW Palladio L Bold) readonly def -/FamilyName (URW Palladio L) readonly def -/Weight (Bold) readonly def -/ItalicAngle 0.0 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -end readonly def -/FontName /BDDEWM+URWPalladioL-Bold def -/PaintType 0 def -/WMode 0 def -/FontBBox {-152 -301 1000 935} readonly def -/FontType 1 def -/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def -/Encoding StandardEncoding def -currentdict end -currentfile eexec -oc;jtD[1ƅpTo9`.:ypJ*l'e}#)&7+/^ W{LZ60VQR^λ3r)#v$p~c&'ſ+ %;a~!ty`rcv5 Nx8+ROLYaW=?!>z$8 -s(kzO1>5-rBH@eTcO:bIeؗ;"t߹!M+є0|rY< -ӿELGF_xiެ5, +T B).sLUt -ñ$)L xM`0^Ӻ[U[Ѹ\ P0ؓ aW;] ۟e&6&~sD3R=RCk ʋ6>O2S;z250")cށd/Ar;K8+f^9EhpFRtg,,zfx05z lʢж6\E+POCj6=,3 .haDYW0ɠrGƏSW=kcn07 ?`ߌDD}ң$!g *V#H;(xSG>|rIx:[[Oe>8^t8\-wk(l.9F&S60Jr#D^b2>PEo#C@Hg@am1%-~@R@,DFXPc*~G -f - -kDMuX2+mQM'Gj*4<#BLlN ] K[^G |hLV86K[S>Hw[saj_:@A"D"Z0fڒ管vrVkOC5&l<Kud-IySx/zխNmP+ Nl-dRpo&QgE0p2X*B6]Me.0zV@ aad&fV+r -JrZn@~m%*뻗^A6%N!_x/NjsK.6l0Mq 6 KoC -s}Z4IE;i91_ `~]{:U- П<_ yl>Ғ~FFC6XU2l&F_B>|^;WGy)40J\ $e_h:O4mFN#YsJ|T۩qo]Z -CQӖ$nlŸ-PJq̪n3 6` h/<oLHX8U-x#e:zaۗ~ǽÆgfA䴛&.)Orc^ -mB4ڄ+/t>IB K #} HCJ /zW5gYO*W8Ev(K$!!N11wϬj3ے|=MC!gp3 ukZG°C7V#+O 1Zo?j`;F_~ g _. EbDBsc(bs'U^PY=ZL2C U'̑@54^'u%3"UPQP'%Y5ࣔB/M[mIX[H: -q6|!mm9InJ@# s{d]l˚mۃ$2p{m}T+9E,7h3̜ћVҪǃ;x%SwO+z}U|GpG+z;*:E2ICTAR֫6iV - i)>A=gFE[K/R?Wm[pg:tyUx4=ٕtb!J N6=fn<:1.C,]9&s1qUMVBg`4S@-岒ُ_z!$,1ڤ&8crN8 daפG\Wg6CȽA4 JgK'<쿩wx$̵j§O_L{(3#rM/ { -C+ckSQjDjqKf`2ٛXDC7(6h Մ//.)qB#=~m9&ӳdjcAQhSԗiХ۠6]gCP[ޔXiͩg<+ΡmV) \֑B=I--^}huMFES^_IEyJ[E/I{3/uIWX~:x!=D,u^Jxf,or女\M_PtlB] ̣ 32q҃c>#XBg xאbg]m :k߸lS2&ը精j'~\l[GG:jO=u!ǣv}BLeޛAIԷҮE+5'V`*Gx!{Ɋp4G -V@ƈGbI%39$~)QrFe[ѫ{Kpc E$$$L<%;J.x$zeF04#*GoXJ94|ʐKt/;%IH4fHJCb4h\$3vyXKRMIHm_^)7[P Tް2@A"nL :5Ww~ \x+z(0GnaY-L+M$"uVEtL$?,w+b]Os[kvcUja)c(uծgFW0'YC"%++hbJA -h@&>rWeQ`SMme謺v 5%kVӸnkh@O$U]@̥ԑq8[zTGùWڞxh E|ih: [2ƞg;rT:bỸ*O@ jN?ӅӖsπf%1w -s?L@B;DcM7ΊV)jK)+GN_ -[U@*Ro>_^۾miz Ix0'ԛ<FA=U~3Dj]*e*9=7Lo-)<þ*L葻ps3~(@ qjqMs}J|YKyM&'Kr6S TH(|UZf(w΀k@d#z]DC&"Y\& Y** Sp?0 uRxi9ZQܓ@&Pwi9>Lx!􃽋[/.k&G捌7WRhI.C>>\ (&֯X$6~يy?; KWs)E4+SUbq)S6J*.&$X o4. *iz\Q}qPF9]q $ ّ2%cj] -;#%$6>OP(}nq!$OXjM/Az^$kq;8zI$ RwTiXIs[~},dQc*@/J ^l~WA .p6#sD oAktݍ ݢί*Ҝf3'X~]kJ'^b:LFyCĨN$=ݼ/&C{f]\KvNOЫtc5##K2z.'p+3èҥ6fzԁ^31 < z%/Lٳpٙ<:BbmgqY֬֝F{j- `!7n028m4&5sRH`A$(G P LYKgad[N.8!b! n/ #@°ёަ`U12r  b#Q8: A~yuˋ3_i+qxsMkl΋a`IQlmiJJu6*ܘu"-Gn8P܂T"j2w<tȷS(1R5o=-I$BęjyR@P - -, Xy?QHE|<NJoR1<44,!Ykf?#;ӻ0ak:{#! 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~c3E$rn#ȕA&"oRA*L)W۰AI @E koʾ|,]A]"7M_Qc kʖ6%7#QfIk $.xp s+tB| S@;2c x{baTnWZ -e>f0(hh ٞ -s4[R[^*Fؙe^bv jѫ|_)heS.y>y*&6P` 78M)I5&1@ݝQ絺({8ɶ -؞zBXƱ.~K55>=&-7.qJNjuiܡOzP\'L[JnO|6?IgA 0mPq]c)?dС%$Jlq?,k=Ģݷ4R"PXc0K\JSM_铢 -N^Ϣِҫ=N6(Y.h5ى][4qwf "/XhXd/vImGfX -K=(HfUrIQ$W0Lյ8Xk߉JMz{Pԓ>$ y"jrXfyLEtnyɎQ]Ex.B;[XnUOś1Ndɸ&Ό -endstream -endobj -2257 0 obj -<< -/Length1 1616 -/Length2 24418 -/Length3 0 -/Length 26034 ->> -stream -%!PS-AdobeFont-1.0: URWPalladioL-Roma 1.05 -%%CreationDate: Wed Dec 22 1999 -% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development -% (URW)++,Copyright 1999 by (URW)++ Design & Development -% See the file COPYING (GNU General Public License) for license conditions. -% As a special exception, permission is granted to include this font -% program in a Postscript or PDF file that consists of a document that -% contains text to be displayed or printed using this font, regardless -% of the conditions or license applying to the document itself. -12 dict begin -/FontInfo 10 dict dup begin -/version (1.05) readonly def -/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def -/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def -/FullName (URW Palladio L Roman) readonly def -/FamilyName (URW Palladio L) readonly def -/Weight (Roman) readonly def -/ItalicAngle 0.0 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -end readonly def -/FontName /GLTUCO+URWPalladioL-Roma def -/PaintType 0 def -/WMode 0 def -/FontBBox {-166 -283 1021 943} readonly def -/FontType 1 def -/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def -/Encoding StandardEncoding def -currentdict end -currentfile eexec -oc;jtD[1ƅpTo9`.:ypJ*l'e}#)&7+/^ W{LZ60VQR^λ3r)#v$p~c&'ſ+ %;a~!ty`rcv5b/Wz#g|f -SSC3R>Nn'Р(ead/Bҡ nKs w8H3ETzXHW}EpsgcxHSAB]& *P>9ݚ.TZw^q$S QgXuV,В"%_ /w!jTaJ@Pq[vM~ZIf 1N46{A";hdg ol^kiEbЯ'AvYqe}nPA 5]X]a-]3P7 U7FPbBbFKP婰Ĝo?&DМ2EFLXҜ'(^H?l}DO(ǡUI.2 'mb߃#XrX"b_V`)譅1#ǵuR?%{Kbt2hhЪwrAqh2r{ K^;8`J:;jGꊚ1ZS mAO4S" Mq|E9s-&PF zk|N8̵}ۀaLC‘ f Ż]Ch L7ZgZqʑd;w @I&ytR7X^=i?+Cb+wV\0S  zK|V nz qݼɳi;w v@%C(,$ig2A-CRu9 0*o @%1ܭ>'(fץZ[T[D֙ې >b-\oUk#ʒp-TR!L΁r͌^vLE`#3jhm# oa|[Foo05fiw-(8//2SjZs8QI@61Z?eA*tl+#?ښĒ|fن>-`sjc -"ؕJ#!6? wքn?) (Zжu(Y`X`-Zvk@Q0вu=\F -gJQ0}б˪~+$b%]Mr@])nYǶ6;=wA=4vg5!OwQu7~8%PMu0ڒ -;.}0vm +w,o(8dM$z5j %!u3Np#ֺA 4[<wUv5̖TN!њy{,V-146r/^'4I;ڀftќ9ӘH*-Z?6ο] Yք(8gkFgP,jOiҁ2AfG=a;6RTHbGmeH=N`BЧn-nZVOIf@\vI]$r 5ݯ=t8>Xe/z"JSg ?ssf jWKz1qڅ m7މW2W亄IX[hZ3PVL~G;#p:lяP uAy%'Z~eH./:R\iqO識)?:p59I[3aLư]"&WvtKdTmZu*mREDD+9 ߆?Y\ېnP7Xo|X=@ P"~e62p t+Asz y0y˫vNy6z_38B6U@ )< }f#@=s t9;f̩u:ƚC.4Vq{z!pf;j,yv9|> co ]46x/I`Z&+d#qIDgH *Kg)<76}) Rr}49tMc^$KK\ ~Tr -f[L]u%7]UP[ֹ'ܮ` za^MJyLrs)*zoˣ~vj1xRB}J挋o<\; ¤d>P5JF[ncf!6|t{9fGDѺ J'Nۓav 1Y9%1 M!=BQ$EPF~߿0  )?'Y`)sR|΄WJG!pzEͧjc"._=5E -*k(zE6b]q@{C[/X%uH[p[ <2ܶfʑ N2 Ҍ#_F @hywX6A\éD蚅*%-YB,G?ޖ~r*QUX&^ 70l)(kR(LxX%yǚUx.ϙC5!͕hJ-i-_*d -hA:kLџGt#ְԚbP0z/#E\Gq;]-"jP_ő˥7iCUuue! \쑓3*S\nEuvL ui -]Xvu( >z.@ߣIE0#:(4aW/47-"Z4:מ[ixHcB H[܈C;R ¨Xw\Fs 0M*KkHpahw*gDQ}5Nk)aKAc bwPH6:WT(Z[]s[8 &i{w(NeBv7;Fjrџ+XfXT[\GT0EjN%7+zc1<^OF t%T{}A@͋E Uk]9W j#2Y߆Z"#"x4lDR0is|%e:sLW)NۈLq;UVZPOI;_ߥ|}~&FUud\s٩pL+ -%w[v;e.KgEV,0H}텱y ~S+Z( e/ww^+k\P<7p;2 fo?#՞W1 -c mxK\Y^=F30BtO4x&%xXF|Ωvs_5fw.R/zIU' V$ɊLpER:^E>АaC+8KvWJP5]SG8%ܽV䁞_*g 'Sݞ;k] -}ҐE}ڳ梷L^¿&R+V9[-yԣ{n!5ṿTwa'|9t6,۾?f Z32k(X=MQ]⻳2R!c'pCI̕?/V3:4H}QJG`[-}"%݅7BW9IM6Y[V7UײJM; 7tq^۬OLu_H(NW~>( XZQ(U ķ]PRb's?Q -NQd<-˲Z7Z&|2\&0Y[-g~ls3g -ԄL1f Dr o[\,iv2I_Re 'MAܝXu8EKM9msAk7-6=>mڑ}nbZu-cs `ȋyRD(pgUb,vb",SyUi/os[%Vm `fd*Y-]/OF -P$.2_'9_TcoovZE.IEu9o$enY >~hU~5zPҖ҉onI@ߣ%#KN --S!CLZO܈e Wg)Ef6; {3O&]zkx_~]Z*e}OK]+? }5~GE fF\u͊jŘ9,Yo 1+] ){k߆2l?ه (gX -d _}#ZMSb6n +G|'HryTl0rRN7E?tB!6y@N`;R%)|us- @a쇗 ].|7P#J7ɦXU%FO?麒19 Ğ*Q{oYh𩨜WպaT#MTp}A ,=vG70g Vl4R;Coa/僠!OƑkw|t֕I?l?O|)9;,8KH@.D)Z& -]z’uPyԬU7{Sx\яG8ǔA@Aj$nAXi G> n~O2@G0懪+B\KP!x" RV7` xotݼ_atÍ/rz.U+ƎXj̀Q0 uzb䊪::?7%ߦrsC@uT? 1 2_rHD*זלӃg:KKCL &z4"Fszo]q6?C3Q6+dF|gM"3C,+T"ۣ(o`DrY=tP3<$Rǘ,?i`3_I~UF)li:Q\p^"s6/(#IК2 -E(OtnVsMBQ6Ƃf8q$eh1/ˆ~Ć|o7ྔwhnS]S9V?Jm^H@T`b\©^c,tN⦌F3./@R&X T8B>J۰UAZƫQU~ & qmgr}jzYgr>??CsvЍ -I"8/˩n6VFw^]*[F |>IU:&wVnGӝ4LD*7i)T#-%ì9ZwR@WB/W)7?mw="T` a,cNyOEo\PGjҭ2ޫA Ҍ7 =.3?0J+;ߌ~|U_XB"(~) yO{Eж f50M3ooD 3I SL -C]$""oaҖ!#\Mp- -0X3 j1W%&Asm]C,\glh/&GhZ - (:~1!bZJxwLSÐݘ' t7eHiݼ)wAM9֨2OI)},=cLAYJ<HlL"WX " ^?ΜVcy"rw -c.ˊ{$4_>߈B fF3Kp?4a1Wkm% bgO>w+u5n^fV;^]5ϯ8-.V=e_~S,v]Aٲ0CG\ 5%W)دP[&rrD@tT쾲RNId.Y7CtHjpd?uPePW[.~0߿>6[2nrn-og#R^/e>rRUcom&'*0Ͽ_ˡ\qSq H"#S>4H#AQc\Fx(*2Mܒ (qD9o x2[*+/ 鈣:5[}TM 8nwElPbh~.WAWeLᯒlJ{ 7/K >Q:퉐J7fP.ySC2à/Ddj^n⤋2hԘ[?W,T_S|)aFPK 4*v *.X+L600#ߟ,Z6N*=εOFEf8G?V: Tƺ!U$1wg%gdY,xĽxFws7a˫cڮt譣qHg8w3tڼ<(Ft%cQe[c$ET-ʲ;w둫JV.'KUxvu"@MxZAL`L"[ N"~3bwXsdJA/Q"L xZoFd(7I)w񂮒_/'Y4]9/Qfa}b-uߜ -ob#km5P>cNE;ra laӴSr)xekʯ} R \hPb_V쏋;OFc&%p}OY3%" #+sxbbPʵcf_wTX;OP1esl[qY+ptps 0ZdR -}؁ -sjX'MW! -@E! YRg:qU3`0O HJ|z7#8 P2׸{2Ÿ+`hZmI3YGLغ!}m G3nKј:pF픺}p^^," - ?Yqefsڙ+O=3y(VPS.w;/9Xf[S6Ss9@;4b.k ZuI9Ab _sv -].#i}\`f0bdfwJT/ hK0rxOTγzVIuY|)lnۇ[ X;= j,i Na! %5-Nh{1nqnu;"FgL{r[?):|\U H6(Gx12d*zDr>q& -]OHP B_V*LA'vvuͽr4RR@ࠢo,b>ykmHCZ Fcg]BH/QnKfA"LF<؍ܷn1 %Fy\r{anX<ɭnÛU:o"T WnO{X4="\9KR^KDZ>H=EGy -Nq9TxE;_O6fD!&'`&1e"8AX2ʺ~> np1 Z5R.]Ý@c@i\f(鈿RyR(gGnB[;<]\  -o9w(NאָΧګ*u8y-*5ɣczVK0W9c|B99SRݏ a#וnW^{^}d-عic&i%{5]'rqlfa[/urY*:jF2 FRo7:AX?u3F;R#Bu5IH5#߁5c)r5DG'*Zfi[/5R7|S WY7֢Ծ!&biGx\MgrRBG|gIAI͆j %d Ւl3)o6 ~Ohъ')Z³4'ѿ<.vѻK;~3x1*UloCl-GƤJ5^J| 62tYtk4%bf%)+.s+~U*['b 3LkZݤ;my9q Jd O kax3P+%[s8u4jP7,X!g2ЪԔd͛JhC.?Mo;8-st!o GX|#Sé{HoOEy@,pQųy6OEݞcmb6 9x T'4l;1bj2I1*=l.OϺ![67@o55z2N_ q%JEM*01l"Y+GԃnḪۻnm YdC C8U>JoZ34m^[Tdtv3p̞`YLK=&JK%K5\ oDSծ,:ETiNw!Hf'G5 {l5¾i,3/n)3ob/Œs 9x1Q8%\jLQu9mzu5&[Ҹ|@n*FT61ulK%$p9fk_=RxJonR' ^>ƭ}ܲe"EH?BKxlyJE1S۫;q"hK=9f2y3*ϱ=^1}ӯDh|Rj!p =J)(ҫ@JRf^3̃Ik!?4hZ`A#& ecjAf%Vߡu6O4#>i0=ty닇/b4VͣѺb[tF `cL7K>l@5JdFhkVi(2+p2(M jpZw!LwwRO@MCtKgɗ_2Q^r3`ZDT`%%djVU7JGw1N5[N -PNԳǼߖK#>ڊcn)(<d!z*`. 7QR6-VVKA8bdy \(Ҵ͗;nv*Bŗs73] ^P(!Σ5.̶Z+J6B"Fk[C~JGXyo0NTC$\RrbP)$'PӶS$#rM{T)jj&FȤ'+6nkAbͦ\r A }9Š-DqxQG,bWϼyIgKAqh2rt -'b_73w*] -fM^pÞsbfԋ{ (GFLI!)3Q 'fr {}͕}Lut~O?8N)ZiGKZ %_'\a܍V^#Z!>sG#N}(blbe4$<z>=4e?WƠ*>]vI_D8 {`p_}$K\B/QUX+@U5-nsi0C\) `MIixDnwTC <.߷٥Էz^V--4ch4w(~տV֞! n uIL N(JayqB.Lb KcmIS> >htҔWZ ^*2[qg$;7BErN$WB?KTS}mR3oA3: t6SӒAgi[/S&QxYY} AN K4!ELY)oc8꩎B챜{(~b̤ڴn@]T:tsYrK<%Ѥ i؞^|y,[3\R6eq$O߲I-JS f?3ø}DsYKmʅ *Kd&*gS /sɝU0㊮FLP_oi˕{2 lknfeɎ0+> f1)1Qq:{r#~R"[gԩ -ㆰ`9 NLʷ5hH85F;JZu2 uɾO|6|WZ?ǀZ! 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(MHS+?%02pfg%@s_AͫXP),~C*0茸@nZqtTMZlĊ QllLF-͂[}>\s݅amξCt&<+c5. -veMN:kvG&~ *TӹO?梆hfF;Cw&=[]`_hεCw'2Ww-p[cO)VxN&KIԾZ2JmU<T(Y^>0}gaOzULhDN%!uVlҜdSb:TX2[/-=JƏq uGҤwWMo2I\zta~,E?P }-찬G)ĀV1Z ݮ|o-jEp,@, YA;y'Ă}ie|eS֔o< py12i*N߬A?*ՐZDQ]0qmO!|x;TBtRғnOgfUsɸ|\v:! utSm'WКO~, m j5Ѷyc@¢#V4/62Ar= Cx>][{Ir -$@W -?0㨤 -B+v06?mOu['kUS1+4/஋9u7$uc'\e[ 57ɖQw -YS8HG1G09 zȣGr/nJ]ƮK/+Kƒ'l^-ݢΝJ'@EknQ,MyMtc$)S %실Y UF 2 -JXnxƬBqv/Z>bCLN`M# Zyz^CCp(}!n9UGtW|!|?mU.A0)_s>AFs7@Ekw#gGNȋ_sr92wbk -a *g_'IHnNcbFԋ_{ Cxma^lT/mU: &SSJSzV 7aqbz-2|J˭{Ҏ!ė;f@~æ(+lt%v?'|HpH3r)+ѻU!&*jYwGnP pPyyj>8Vs.'_a LF,esYV7N!R\AvgFa/%]$+/ -L8D*2:I)uqxa֜!q3y?2'#*YE+L̐:OO|X:?.1Bcl/ZCz9!Rz=3`eT@N޴0 ?2xk쥖ٵh}#='c~Cu/AXS~$ -5r׻qy8[ЉMXziŽ@;8#O(\ƙT -9| @%Vb#>O苫UhsDRts767(ƣ! (՚|5D -Z;*b. N'ueNLa%' ηV0(2pΤiЦ~ dc`@4 W"M:Eg0M짒$CdsᬬlpcBx%%S r%mθ(Iq9.亥TH{~/qO(^4J0YEXO*_(c%ΰK۸¨VL,mۿyDoIqCCv1&~$;O.0t6?.V̰RU,rkXF=̮ r>V \km|IS JpOx3eBbΦ8 n&58N!J51^[|+pG Og*ӥ ƫ8!cS mD&kSyO}->R!ӣ Q#,8#&Nd4\>\q66C٦"-$KJh}N ҍܓ~EUFH+"7"Q]MP*@nu* LKji6oIsrgW^,c-LAwzJC2 MzkL9l%_Vd-ptMgvYnt&lcNrt:-6NY;DUu:4rJg'U(?L gX`Lx~[| j0#^3UTD [T T 2ԄT2Ru/dУ9;S:Oū2>7R90JJ66=Vx&N>zݔnA)\V0jhrXZfM."z{9_J gcQOr)V ۑR@ 9'D)YdyIUXٓRi|ˬI;ZP-TH`<1{bF.j\Z^f쫷S/IZٍ~x3d=}CTq{DQUnȀ礑;PbRGg]#jno/F/l3?z6/]2P7E$;u"cgEΚʐ/qcHYVLz2 -f{[0Bà\ykO1rֆbas_7O3_b{̵̫Z*~;Vo'וּ{\K(YSdOx>HsOZs1둇@zw=zmPivyD69렞۾5~Aw7'trD췪3}7 >= ' yi\KsA&D~{ØIaVE)כeB|9/َ.n 1!+&[}'bg/s"RM%< -KW1fM[nD3Rt;$W ƊK(:PW3a/qt妁NufE)8ͰkSNVi-;BC`:*NP-%we)CRߧc+9+!o0ɔN$hk (cflRX^ 0~!;Dfjڠm;4 @r{*ܩMSA߮jV|d\[!̰ٓ =P7 ߫H -GH^.h++*llPS-o} [(@knHWMUL?FF_ֿj C@{b$ #b -2M: -涡KAQթiT񚘀Ŋ1bwgJԿ(-_$@.5 _GT `1A:GPDuXSxSœ:$ݗY_1?H$ؖY]o8i:Ch`-ej(W`ޯRųQ, w\=ESd1 2@#$埣9&c})k>;cm9GDIrmEcڇ-lu%z:A,z |Y"#DՓ4 m2o|eQ<23f4t+cѻ9ɛMua^dJkON6{)̉ QoBm:RvDf3qwy}(qy\s؀FB6}r.*vX?ܮ%OH(ʑ<-6U@xrbӫCwrj DY~ EʉFWw)g|͠|tƀŞ׎])͌ft%sih2#Gͥ"̀/`Ad5#ƣa.eb ^&X^M۵@s巶TCtnS "v5ӝP` -c51;^ezyk 7YArԨ%*P }1Drک˵461N'Tq_8zb(D]?ѺTjpΐ^kAކQ-9Ϡ7߹F"qMyկ$u_:!KW᝔f -zr=2&4")m  K^2 x|WوO|rrXbc=;JKW-] U bCV%7Iһ*=:V@zW2!U]< Z[ZIu_K}(6WO3՟nK^TěLk u -A2C05o]}I(&* ;@ar@\-@|5JZT .1T"aJk:bĖD| -endstream -endobj -2259 0 obj +% 2178 0 obj << -/Length1 1620 -/Length2 18673 -/Length3 0 -/Length 20293 +/BaseFont /ICFUKB+FreeSerif +/FontDescriptor 2181 0 R +/ToUnicode 2182 0 R +/Type /Font +/FirstChar 32 +/LastChar 89 +/Widths [ 250 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 721 0 0 0 610 564 0 0 0 0 0 0 0 0 724 0 0 667 529 606 0 0 0 0 701] +/Subtype /TrueType >> -stream -%!PS-AdobeFont-1.0: URWPalladioL-Ital 1.05 -%%CreationDate: Wed Dec 22 1999 -% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development -% (URW)++,Copyright 1999 by (URW)++ Design & Development -% See the file COPYING (GNU General Public License) for license conditions. -% As a special exception, permission is granted to include this font -% program in a Postscript or PDF file that consists of a document that -% contains text to be displayed or printed using this font, regardless -% of the conditions or license applying to the document itself. -12 dict begin -/FontInfo 10 dict dup begin -/version (1.05) readonly def -/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def -/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def -/FullName (URW Palladio L Italic) readonly def -/FamilyName (URW Palladio L) readonly def -/Weight (Regular) readonly def -/ItalicAngle -9.5 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -end readonly def -/FontName /LHHPET+URWPalladioL-Ital def -/PaintType 0 def -/WMode 0 def -/FontBBox {-170 -305 1010 941} readonly def -/FontType 1 def -/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def -/Encoding StandardEncoding def -currentdict end -currentfile eexec -oc;jtD[1ƅpTo9`.:ypJ*l'e}#)&7+/^ W{LZ60VQR^λ3r)#v$p~c&'ſ+ %;a~!ty`rcv7q hK[zS=E+GQFWVMcY*K/ii;tEW($eoLD) At[X7_U*D XQ YrvB>:#us -(H-kx;u mCwWU/3k2o{{]Q`^@0Z>1` wa)&]u[x߯&?N~&?VD䵀P(.y-aSlV6?!bPGuTNמ q*e<*VΤni`ՙoA0U |)P]_"dN`,g -U@?$r8~L*vV)U'ov7tJ\{ $} 2K(g>[/iǭ2Qݓ $BU?XJG(1|Y =Y'?UZҜe߼vƷg¦ - q!K:FQ&>)R@!bZDW%aԟ1IV<'+D-82uDڨl:rigy"iDn./nQrr3ѻ:cw*|4 sF8$q=W6"CDU%rRqzp](0R{?uW Z XQo!oBjX!6w噗N15LE Ŷ.;'(aRt]f#?uXPq-@4e@Y6i'uozJ;-)TvWZmj\3X{o&_UȻnn\ b"O t7R'7HE[ad'X*R" -<+ ׺Hxo[ ?f\}$Š -fDRЃn mŠΟ>\Vܻ=XMH2&Bf8̽܇w<]JB%aL፞]e~URZwyV[hVɊȑM H&mȽU+J0V7A7gs157B`X9c!Dq–&/c@2-ըQZj"x)+J0c 0V!f $.0| :R(fۺyE{Ka'Oq2Ƽ#~fȰ _ؾ\I9A 0 ,AxaYb$l56>ȣL5Gg!PY)ft׈[jysZL"Jy,RoaQ):=sݞK:ݹn4f"8u?"N#i^AfBeΊFG:g"Lrr[muς;Ǵ} C\Zˋiڿ֞(Y ^ ,uo!-j9$Oo$N X fo ug 9B$s~u]ٵ͖C^:o/oƫG͊a`Kgv&: -pƂX~ GҰ#zߕVI$rr}WE2dߟ \ۣ~*d#aIAdTY/J$Ԋ1`^a|x.sYN5Z1kwkW*f``´9Yͨd!tt.`ys!wpdKѫ<bE<MQJGW-:Jn\98%7~Uu?j-ƫ$,b۴KKkk4~tt~>(0ȷ`_>g24HLV_K&`ҋ/2ɋ&w?f^kL(b3Al9(7>y6W| aVD7W!'c -?(H ‡&Z[! 0 %#'/D#ԟjȕՑϜmmV+2 lM`{%2d4V`SF 6Y _?/> hGyI<+* VojN=vTƄ_Vw(F3ڨ,.[ntTFiɫ@Ndȅ39ChrZ"Goq'C=g}rIՂcڂ;OPlM;Ӟ  _% -`!=Ys\˿A*BWɊ -=0׋kDTOkydtP{Vta?lxhʍâpn.2Vr%v%i)*D/P800g['bSJzĐ/$5r5Ә]0:NiB%ĿH)eIĔhS!OXO4+2== `_4ٻNUMړl%&ka ; Бz_vKtf1F[ѓ}:F9>q0("u3TQ `cMŨؒ<ݖɦ!pE<"+nLg!:˼Ab^lO0iSr~wҘ_g@NJ:nf%$77JNHIHVweʞ%.ьx PS!ޢ49$jʫ)@ <,GK5KlfĖr%LY7? 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Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMSY10. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMSY10 known{/CMSY10 findfont dup/UniqueID known{dup +/UniqueID get 5096651 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse +11 dict begin +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /VKSUEJ+CMSY10 def +/FontBBox {-29 -960 1116 775 }readonly def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMSY10.) readonly def +/FullName (CMSY10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.04 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +end readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 66 /B put +dup 72 /H put +dup 73 /I put +dup 32 /arrowleft put +dup 33 /arrowright put +dup 3 /asteriskmath put +dup 106 /bar put +dup 107 /bardbl put +dup 102 /braceleft put +dup 103 /braceright put +dup 50 /element put +dup 21 /greaterequal put +dup 20 /lessequal put +dup 0 /minus put +dup 54 /negationslash put +dup 112 /radical put +readonly def +currentdict end +currentfile eexec +oc;jAw-ᾉYň5t&נ{hLGqB`d˗Pة|*x\ޖHtEB-gedog7Q`[['W73sZ9 m !tAY!$tY\r[uTIUiBy[Ȝŗ3Kï6zJ!˒Js&B5C"m&`7Ӣƻ3ugNC O~̶uo5=_T/ h,$B%dʘ3l MoYLڶ~3^`12]=l8B6PlpfW< %PIN!ju#,.iXnȼ‡o$ҁXꑷI5V*E6tKo_)RPG;Z@9"V3TTLN Y:Akڬ6̠==80~DQ Q^br/2^KZh`N'Jt4iBYҁ7ޟBU_~\fXAZl_ZƎý'xHbG:"l5CU[aLrf 1[;4p^NpqBD '؅93M&9{ VD 8 aе2n.hf +l?K[$Gp/JzcF8vP3/XO6yAo~]WqDMY4ߧY̢XPEL2_2 oH{ +1x'u|o WNRE홹&lF\LRh1Fb}+l C] (vfo+fM}l?c*ވ"^R]miKOҎ!I ӲR_tW;u@(#t*̧ U{|Q}a3Fl8xtHWA­;!V CVov?³;=>,㧫\"RvRCإQDh +@_,˜kbflAIP^wٚdIHzk(c3xɁSUPIf{KΩs Y/v[L%O@HdjyTõVmqgC9zTC/t~Řo*9rIojUKxj. ,+b1ֲ IlDLQZ3P-no'$F zg!Ј*oj-Nͥͭo8KwQgݍp*1^.֊ LV~m la ]%."`_QipŎs5y.Xͮ)Td1Kk̊jn0zGqaWQ%zJX3tIy0ľ.#[#D#EԂppF*ޘvrOdn7n f9*X:>Ǽ:*Lf͍9&aj;+{0 )AgðK*XKV'zZA) n TÙLJ^Di[:s<ܸ2!U|#5VfUqP}|=G5O|Ps9}* ++gpA,,=|j25Cɂ7 ./Fɹ0tRẊ."we hPempJo@▁_A3QBV~$9Ej= +]? {w_53Fgӿ4BAq41Pf ,Sş6r[v` xG$.} ̔ϾF͙c=f!*˽./wĉR8(@ًz c@N&Imݣ>X!me@lW"VCH8kՑŨj]n3X>Jz?D=Nbn {qbY(>"8*苾ky3o H Dw] d{EʥËw.$Vhtzk$kk$]4cfCW@3plQQ晉b/pTqF8_AnQmK{&z;<տm[i7뜣'*qXTnt<Ռk/?2m)fy#(`%{!Q/0&sxfB+rE[tgOKQ$$=ל?d@3c)]3%*M}H饞;Cdrp1jFcstG'C\p))_)( MM + qv&C3NLZswTPu{sϰP+-UFUP"KΆ+Ye7?0(idL;gk9(YI-l`;`AH:YHb1H{wR^Yњ, +$FԖHDV?pyїP%F=BGKPh~N[I_ꈀCTzf <Ӗ`4|mE1J'$`}R \N2kfaouJ73vKW{M3?׏M]:W;vX;B X.PI;?!T . sU]䮃=X 5rMt>y=*bC~^ tArl'Ŧ\؟L냡P&7ttuGz;Kg4э;u)";SvC~?J/F"6U.0>+KQӄ0"ӫ=sxoJ]ת!w6O.}t5V˩+7Us֩yēTC5GrgU5$&|~G8 Mv(jt Ϣn]]QWOؑm. 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As a special exception, permission is granted to include this font program in a PostScript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/FullName (Pazo Math) readonly def +/FamilyName (PazoMath) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +/Weight (Regular) readonly def +end readonly def +/FontName /IKXQUG+PazoMath def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 165 /infinity put +dup 229 /summation put +readonly def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.00100 0 0 0.00100 0 0] readonly def +/FontBBox {-40 -283 878 946} readonly def +currentdict end +currentfile eexec +oc;jtD[|<33229IfÐ"XXH`{(b$`Ꮻ2 Gy<\&MꐵCt+˅BJvƷmoϚ}^߼YTYC]S=nt9x>JK1'r6iX'l 6я=v1]mO CQC>iOLUO*TcTm(߀ 1U +nAYXU12rrE^Oy";Dm{O0 {2RBiNMufLon>Gl_1#Y> ؋nׯ ,G#IJ5.FE)a" pqo-4`7}ӺWt_ceuJh>>W! A5j-v`-?R tl.e)1=kdSi!5_l< -^+bގީܖnW%yg͚3N>Vp9e.ovh; ͍fW\^yя_ܓ'1︖œ]c*" 磺@A.XcǽD&(49g6vf4J ]5(W sԘtaȝ<[EpTU!JtО ?,L?!w sg0MhB1$sy8G(b>zuݬDoeHz)^0 +9JWf'UIcei+5H,r73g03{#Y_E^n2ݥ xdR$;9(fn*eHcAI#y`%,tŁ\ )_V+7\M7A4R"З@O!1$*ϤНsp%>*Ȗ, QɥH;Eٺ~b@n sXZۖ+ , +y#/!AL98Ta/eT,ut/u6~ 1QA\SW{N?2/G?E 8ӮchbK3q$;+^B(񬼨xฉk:wMX,Ӄ~R[&h8AS #L'ɧTp#{۪>;+⭼MuU[%V0EėٲC9؅Sםu^sI2\. +>j5xBĒڪ]˸f*g|x*cfr+B!H9R2H4^Ed>>J1uz&MLLioJ$!tFo_O>y,ު+#D qW2  tE"QIՅ.e]l w,*"Mf]i/FSꂒ.s_.n1 /8,}̨ W HFPsWkn3a9`6IݐWi>| =1uŪ4ԅXHAH +$-U3# +endstream +endobj +2269 0 obj +<< +/Length1 1188 +/Length2 2740 +/Length3 0 +/Length 3928 >> -% 2250 0 obj +stream +%!PS-AdobeFont-1.0: PazoMath-Italic 001.003 +%%CreationDate: Fri May 17 11:17:28 2002 +%%VMusage: 120000 150000 +11 dict begin +/FontInfo 14 dict dup begin +/version (001.003) readonly def +/Copyright ((c) Diego Puga, 2000, 2002.) readonly def +/Notice (Copyright (c) Diego Puga, 2000, 2002. Distributed under the GNU General Public License (http://www.gnu.org/copyleft/gpl.txt). As a special exception, permission is granted to include this font program in a PostScript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/FullName (Pazo Math Italic) readonly def +/FamilyName (PazoMath) readonly def +/ItalicAngle -9.50 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +/Weight (Regular) readonly def +end readonly def +/FontName /DUJUUF+PazoMath-Italic def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 97 /alpha put +dup 98 /beta put +readonly def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.00100 0 0 0.00100 0 0] readonly def +/FontBBox {-70 -277 902 733} readonly def +currentdict end +currentfile eexec +oc;jtD[|<33229IfÐ"XXH`{(b$`Ꮻ2 Gy<\&MꐵCt+˅BJvƷmoϚ}^߼YTYC]S=nt9x>JK1'r6iX'l 6я=v1] +đg@F7pqӁ')jjOh%Ssq={.] ZO7єEՄ|۪uBwLÍ `'&0Cg)X0F?nY&8 ˹r]lpKGCpoğg\t/bj}t SEcqR7VL%Y'1b J71SU3=gO>bHt kKc:hA:F.xW(L^N1K @_P̹>nnof7-U El#+A5FԔkyt:RR2\3 l v"ڪ> V b/&"@4 +nD5tv_\$S|KpCO1vF^(By@`gFszV0Qn .T=>>rYA,{ɠQrF!s߸ߟ0׀ߎ5ˢV<4d(nLس[PC;+qޥK V:d&>J3)Q6P|B5 e )\@~7mknˋ$ԶܖP+C}o*( -.47W?8"N[.^7/Ɵ3/3j(ĦwN wLjC; f&cv^%:S,yr8N@K}m>KWKn9}%FSGhpxC(@rX#?F0ʃ#w^cuֻy"-lE#~%U1b[ ^•1@*rEPWS/?N!< e* Wxax"(Z5ŅQu? +UgH{@^Κ2]Ʀy1Q',XL kx2 ]mȌ0`픈p:*:_kp +ϊ%,vVb]2q2嶖ćVas |HzN@=ܫ7ikK\}pYNsS)# 􊄡c,E׀Z=D=0Maf~nľ4ߍš2Bob bObwww>|Gkh6p r[#P"77vE8ʖ$;E6zдR]}##+0"i%uCj,|aSVMx5p6Uj(mE*~mYdǡ旵w#`9k?)픥ZW|M%H*'a>"Vћw5t0QPGR%"*Bu+8~j X< @cNngYGй34 V])-l Ɋ5imՙUV#Ŷ{ۭls1we(\OL ER~[шPs1\zLDgSS[Oup6(@1RsP1 ?=E؜neM6N5w<3dq^cF)UI2M F~q +1йmدNIB}fȷ/ZMYE(Y֋'Ჹ +T;UF7<{LN-^(U'UAf0GivO0P$ 4Z@/.}L dlI/_f>k[WSʪ1<" ̣U3 lP.+\Bl{ɂH%չ'%@-ƺRS覟yNuE|v^+ZRkڜ[ȈRԶ0ZH: +wFe@g`!$ pepdw,,# ov>ժI83!/ J?|i$d_(/;b49%Xealwv_̹@drp.l䧏<ɁJt~M[y 3[{ +endstream +endobj +2271 0 obj << -/Type /FontDescriptor -/FontName /EOXOPS+LMMono8-Regular -/Flags 4 -/FontBBox [-456 -320 743 1014] -/Ascent 611 -/CapHeight 611 -/Descent -222 -/ItalicAngle 0 -/StemV 76 -/XHeight 431 -/CharSet (/b/c/d/e/i/l/n/p/r/s/t) -/FontFile 2249 0 R +/Length1 1756 +/Length2 19614 +/Length3 0 +/Length 21370 >> -% 2252 0 obj +stream +%!PS-AdobeFont-1.0: LMRoman10-Regular 2.004 +%%CreationDate: 7th October 2009 +% Generated by MetaType1 (a MetaPost-based engine) +% Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS). +% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG. +% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki +% from GUST (http://www.gust.org.pl). +% This work is released under the GUST Font License. +% For the most recent version of this license see +% This work has the LPPL maintenance status `maintained'. +% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki. +% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file. +% ADL: 806 194 0 +%%EndComments +FontDirectory/LMRoman10-Regular known{/LMRoman10-Regular findfont dup/UniqueID known{dup +/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse +17 dict begin +/FontInfo 9 dict dup begin +/version(2.004)readonly def +/Notice(Copyright 2003--2009 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).)readonly def +/FullName(LMRoman10-Regular)readonly def +/FamilyName(LMRoman10)readonly def +/Weight(Normal)readonly def +/isFixedPitch false def +/ItalicAngle 0 def +/UnderlinePosition -146 def +/UnderlineThickness 40 def +end readonly def +/FontName /NCCVYE+LMRoman10-Regular def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 91 /bracketleft put +dup 93 /bracketright put +dup 61 /equal put +dup 40 /parenleft put +dup 41 /parenright put +dup 43 /plus put +readonly def +/PaintType 0 def +/FontType 1 def +/StrokeWidth 0 def +/FontMatrix[0.001 0 0 0.001 0 0]readonly def +%/UniqueID 0 def +/FontBBox{-430 -290 1417 1127}readonly def +currentdict end +currentfile eexec +oc;j~EЪ%9.>XJٚмD"e?&oLH:]~nX%l޹dQ@a~M~EA˟V.UM؀")JY4қ UC92"\ܡw1rlxнtaA*`Jp?(:E(qU[s $gG '\ +wMsuIC'93|Y@TۂEk$:mGzRg?x= w;*E JM8͛,uZmY +`n.ˣ/J +E: BO/g^Mj9Z6F脨0 BKBՈ[GOrEY86nXՔ*wFot8CF :g6}dPk]!$3h+ۆ^];JR*-uC4⚈u6Lj=!;͐`,7TZXV]w)ߧɍ)%NL߱VيӒI|5sBMedO&Ng$q&Y©Au(@HVqQy?>&_@GKf0Z E\$3eL +:G(, f[M]ln uE~0Rt^S PjwWv6! +1nC22O՜QS tynG + }=_nW?^‚2I=>]L-ͬIq^ ͘ EM +,|K93QbָZ׹pu P۫%Fj`(m->ĸtGTf +b0UAx>|z40 +BCGҡ %"nH#ܕ diKsxc"Hc A2sk6.ab?CGZրݣ~cc>Uڔ!U ؏ Zlp;@6CўO.aވR&UtA_Kfq +(C$gU^/"z Rkf ¦vPGyQ}i0}*+z>n y!2X{Z60ŬW ZxV*2'Pԧxh}C}B.Ȏp&j׷dq'g0!gz$ͅA\/=ǏjUEBm/Ġy]"Q5Q._x(]nR{jF.6S0&MP!>>ǒܡQA&%_͡ ~ei6SܯI_1p$$~<-./pY7jUcdMTj)9Z[a +IjQЖ@1t26he>}[Efag~g$P81lÑ_h8*5C, UwF`eͿ;;1"c%|PPh\CMN Qn1:.«h+Uew56eK0k(@sQ-rD%}zzR7u̝Kf 1(ƾH^P( B'vhufg!ᱛ >ԝg㦉ZLyMS({CE];&mP4}:FkR{"K ;\c/[pU)6)gs +. +wʘXԼ68|%;x_jAw(dBsь>~>b a5s8ݯ>ןq !/jWKpDz¥N=0C72K0r|]*Lx\Ҩ +G:c{7&L3PDf$FVe=X`5 :cZ+2a ].D`Kk^%IhMH/F? 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+"|g3 pB!ڧ)G%J9lMo Z/ĮܑӦZegM<g}U|lr䝳~Yd}RtR(1_*J\-yu[JjrA%Z׋=Ls5'.Εp\ +Ǵl\*O_g7Jb ;lE˦O~7,'12w?d}5\YʢI(pm +_uu9c1{QZ%11A\JV;`fsX;:M4/  }j~V=kj=Њg$'o*C2_. +22&0Dܟub#Y?&OG'7Ei͔Ɲ' +z-Z)Zp)ҚrJjc0D#+ko{.^[4M)vZ(S$ksFUmn8pfeqQxPRed֕ +endstream +endobj +2281 0 obj << -/Type /FontDescriptor -/FontName /LHHPET+URWPalladioL-Ital -/Flags 4 -/FontBBox [-170 -305 1010 941] -/Ascent 722 -/CapHeight 693 -/Descent -261 -/ItalicAngle -9 -/StemV 78 -/XHeight 482 -/CharSet (/A/B/C/D/E/F/G/H/I/K/L/M/N/O/P/Q/R/S/T/U/V/X/a/b/bracketleft/bracketright/c/colon/comma/d/e/f/fi/five/g/h/hyphen/i/j/k/l/m/n/nine/o/one/p/period/plus/q/quoteright/r/s/slash/t/three/two/u/v/w/x/y/z/zero) -/FontFile 2259 0 R +/Length1 1614 +/Length2 22531 +/Length3 0 +/Length 24145 >> -% 2231 0 obj +stream +%!PS-AdobeFont-1.0: URWPalladioL-Bold 1.05 +%%CreationDate: Wed Dec 22 1999 +% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development +% (URW)++,Copyright 1999 by (URW)++ Design & Development +% See the file COPYING (GNU General Public License) for license conditions. +% As a special exception, permission is granted to include this font +% program in a Postscript or PDF file that consists of a document that +% contains text to be displayed or printed using this font, regardless +% of the conditions or license applying to the document itself. +12 dict begin +/FontInfo 10 dict dup begin +/version (1.05) readonly def +/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def +/FullName (URW Palladio L Bold) readonly def +/FamilyName (URW Palladio L) readonly def +/Weight (Bold) readonly def +/ItalicAngle 0.0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +end readonly def +/FontName /BDDEWM+URWPalladioL-Bold def +/PaintType 0 def +/WMode 0 def +/FontBBox {-152 -301 1000 935} readonly def +/FontType 1 def +/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def +/Encoding StandardEncoding def +currentdict end +currentfile eexec +oc;jtD[1ƅpTo9`.:ypJ*l'e}#)&7+/^ W{LZ60VQR^λ3r)#v$p~c&'ſ+ %;a~!ty`rcv5 Nx8+ROLYaW=?!>z$8 +s(kzO1>5-rBH@eTcO:bIeؗ;"t߹!M+є0|rY< +ӿELGF_xiެ5, +T B).sLUt +ñ$)L xM`0^Ӻ[U[Ѹ\ P0ؓ aW;] ۟e&6&~sD3R=RCk ʋ6>O2S;z250")cށd/Ar;K8+f^9EhpFRtg,,zfx05z lʢж6\E+POCj6=,3 .haDYW0ɠrGƏSW=kcn07 ?`ߌDD}ң$!g *V#H;(xSG>|rIx:[[Oe>8^t8\-wk(l.9F&S60Jr#D^b2>PEo#C@Hg@am1%-~@R@,DFXPc*~G +f - +kDMuX2+mQM'Gj*4<#BLlN ] K[^G |hLV86K[S>Hw[saj_:@A"D"Z0fڒ管vrVkOC5&l<Kud-IySx/zխNmP+ Nl-dRpo&QgE0p2X*B6]Me.0zV@ aad&fV+r +JrZn@~m%*뻗^A6%N!_x/NjsK.6l0Mq 6 KoC +s}Z4IE;i91_ `~]{:U- П<_ yl>Ғ~FFC6XU2l&F_B>|^;WGy)40J\ $e_h:O4mFN#YsJ|T۩qo]Z +CQӖ$nlŸ-PJq̪n3 6` h/<oLHX8U-x#e:zaۗ~ǽÆgfA䴛&.)Orc^ +mB4ڄ+/t>IB K #} HCJ /zW5gYO*W8Ev(K$!!N11wϬj3ے|=MC!gp3 ukZG°C7V#+O 1Zo?j`;F_~ g _. 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~c3E$rn#ȕA&"oRA*L)W۰AI @E koʾ|,]A]"7M_Qc kʖ6%7#QfIk $.xp s+tB| S@;2c x{baTnWZ +e>f0(hh ٞ +s4[R[^*Fؙe^bv jѫ|_)heS.y>y*&6P` 78M)I5&1@ݝQ絺({8ɶ +؞zBXƱ.~K55>=&-7.qJNjuiܡOzP\'L[JnO|6?IgA 0mPq]c)?dС%$Jlq?,k=Ģݷ4R"PXc0K\JSM_铢 +N^Ϣِҫ=N6(Y.h5ى][4qwf "/XhXd/vImGfX +K=(HfUrIQ$W0Lյ8Xk߉JMz{Pԓ>$ y"jrXfyLEtnyɎQ]Ex.B;[XnUOś1Ndɸ&Ό +endstream +endobj +2283 0 obj << -/Type /Encoding -/Differences [2/fi/fl 30/grave 38/ampersand/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon 61/equal 63/question 65/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft 93/bracketright 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 147/quotedblleft/quotedblright/bullet/endash/emdash 167/section] +/Length1 1616 +/Length2 24418 +/Length3 0 +/Length 26034 >> -% 2219 0 obj +stream +%!PS-AdobeFont-1.0: URWPalladioL-Roma 1.05 +%%CreationDate: Wed Dec 22 1999 +% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development +% (URW)++,Copyright 1999 by (URW)++ Design & Development +% See the file COPYING (GNU General Public License) for license conditions. +% As a special exception, permission is granted to include this font +% program in a Postscript or PDF file that consists of a document that +% contains text to be displayed or printed using this font, regardless +% of the conditions or license applying to the document itself. +12 dict begin +/FontInfo 10 dict dup begin +/version (1.05) readonly def +/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def +/FullName (URW Palladio L Roman) readonly def +/FamilyName (URW Palladio L) readonly def +/Weight (Roman) readonly def +/ItalicAngle 0.0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +end readonly def +/FontName /GLTUCO+URWPalladioL-Roma def +/PaintType 0 def +/WMode 0 def +/FontBBox {-166 -283 1021 943} readonly def +/FontType 1 def +/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def +/Encoding StandardEncoding def +currentdict end +currentfile eexec +oc;jtD[1ƅpTo9`.:ypJ*l'e}#)&7+/^ W{LZ60VQR^λ3r)#v$p~c&'ſ+ %;a~!ty`rcv5b/Wz#g|f +SSC3R>Nn'Р(ead/Bҡ nKs w8H3ETzXHW}EpsgcxHSAB]& *P>9ݚ.TZw^q$S QgXuV,В"%_ /w!jTaJ@Pq[vM~ZIf 1N46{A";hdg ol^kiEbЯ'AvYqe}nPA 5]X]a-]3P7 U7FPbBbFKP婰Ĝo?&DМ2EFLXҜ'(^H?l}DO(ǡUI.2 'mb߃#XrX"b_V`)譅1#ǵuR?%{Kbt2hhЪwrAqh2r{ K^;8`J:;jGꊚ1ZS mAO4S" Mq|E9s-&PF zk|N8̵}ۀaLC‘ f Ż]Ch L7ZgZqʑd;w @I&ytR7X^=i?+Cb+wV\0S  zK|V nz qݼɳi;w v@%C(,$ig2A-CRu9 0*o @%1ܭ>'(fץZ[T[D֙ې >b-\oUk#ʒp-TR!L΁r͌^vLE`#3jhm# oa|[Foo05fiw-(8//2SjZs8QI@61Z?eA*tl+#?ښĒ|fن>-`sjc -"ؕJ#!6? wքn?) (Zжu(Y`X`-Zvk@Q0вu=\F +gJQ0}б˪~+$b%]Mr@])nYǶ6;=wA=4vg5!OwQu7~8%PMu0ڒ +;.}0vm +w,o(8dM$z5j %!u3Np#ֺA 4[<wUv5̖TN!њy{,V-146r/^'4I;ڀftќ9ӘH*-Z?6ο] Yք(8gkFgP,jOiҁ2AfG=a;6RTHbGmeH=N`BЧn-nZVOIf@\vI]$r 5ݯ=t8>Xe/z"JSg ?ssf jWKz1qڅ m7މW2W亄IX[hZ3PVL~G;#p:lяP uAy%'Z~eH./:R\iqO識)?:p59I[3aLư]"&WvtKdTmZu*mREDD+9 ߆?Y\ېnP7Xo|X=@ P"~e62p t+Asz y0y˫vNy6z_38B6U@ )< }f#@=s t9;f̩u:ƚC.4Vq{z!pf;j,yv9|> co ]46x/I`Z&+d#qIDgH *Kg)<76}) Rr}49tMc^$KK\ ~Tr +f[L]u%7]UP[ֹ'ܮ` za^MJyLrs)*zoˣ~vj1xRB}J挋o<\; ¤d>P5JF[ncf!6|t{9fGDѺ J'Nۓav 1Y9%1 M!=BQ$EPF~߿0  )?'Y`)sR|΄WJG!pzEͧjc"._=5E +*k(zE6b]q@{C[/X%uH[p[ <2ܶfʑ N2 Ҍ#_F @hywX6A\éD蚅*%-YB,G?ޖ~r*QUX&^ 70l)(kR(LxX%yǚUx.ϙC5!͕hJ-i-_*d +hA:kLџGt#ְԚbP0z/#E\Gq;]-"jP_ő˥7iCUuue! \쑓3*S\nEuvL ui +]Xvu( >z.@ߣIE0#:(4aW/47-"Z4:מ[ixHcB H[܈C;R ¨Xw\Fs 0M*KkHpahw*gDQ}5Nk)aKAc bwPH6:WT(Z[]s[8 &i{w(NeBv7;Fjrџ+XfXT[\GT0EjN%7+zc1<^OF t%T{}A@͋E Uk]9W j#2Y߆Z"#"x4lDR0is|%e:sLW)NۈLq;UVZPOI;_ߥ|}~&FUud\s٩pL+ +%w[v;e.KgEV,0H}텱y ~S+Z( e/ww^+k\P<7p;2 fo?#՞W1 +c mxK\Y^=F30BtO4x&%xXF|Ωvs_5fw.R/zIU' V$ɊLpER:^E>АaC+8KvWJP5]SG8%ܽV䁞_*g 'Sݞ;k] +}ҐE}ڳ梷L^¿&R+V9[-yԣ{n!5ṿTwa'|9t6,۾?f Z32k(X=MQ]⻳2R!c'pCI̕?/V3:4H}QJG`[-}"%݅7BW9IM6Y[V7UײJM; 7tq^۬OLu_H(NW~>( XZQ(U ķ]PRb's?Q -NQd<-˲Z7Z&|2\&0Y[-g~ls3g +ԄL1f Dr o[\,iv2I_Re 'MAܝXu8EKM9msAk7-6=>mڑ}nbZu-cs `ȋyRD(pgUb,vb",SyUi/os[%Vm `fd*Y-]/OF +P$.2_'9_TcoovZE.IEu9o$enY >~hU~5zPҖ҉onI@ߣ%#KN +-S!CLZO܈e Wg)Ef6; {3O&]zkx_~]Z*e}OK]+? }5~GE fF\u͊jŘ9,Yo 1+] ){k߆2l?ه (gX +d _}#ZMSb6n +G|'HryTl0rRN7E?tB!6y@N`;R%)|us- @a쇗 ].|7P#J7ɦXU%FO?麒19 Ğ*Q{oYh𩨜WպaT#MTp}A ,=vG70g Vl4R;Coa/僠!OƑkw|t֕I?l?O|)9;,8KH@.D)Z& +]z’uPyԬU7{Sx\яG8ǔA@Aj$nAXi G> n~O2@G0懪+B\KP!x" RV7` xotݼ_atÍ/rz.U+ƎXj̀Q0 uzb䊪::?7%ߦrsC@uT? 1 2_rHD*זלӃg:KKCL &z4"Fszo]q6?C3Q6+dF|gM"3C,+T"ۣ(o`DrY=tP3<$Rǘ,?i`3_I~UF)li:Q\p^"s6/(#IК2 +E(OtnVsMBQ6Ƃf8q$eh1/ˆ~Ć|o7ྔwhnS]S9V?Jm^H@T`b\©^c,tN⦌F3./@R&X T8B>J۰UAZƫQU~ & qmgr}jzYgr>??CsvЍ +I"8/˩n6VFw^]*[F |>IU:&wVnGӝ4LD*7i)T#-%ì9ZwR@WB/W)7?mw="T` a,cNyOEo\PGjҭ2ޫA Ҍ7 =.3?0J+;ߌ~|U_XB"(~) yO{Eж f50M3ooD 3I SL +C]$""oaҖ!#\Mp- +0X3 j1W%&Asm]C,\glh/&GhZ + (:~1!bZJxwLSÐݘ' t7eHiݼ)wAM9֨2OI)},=cLAYJ<HlL"WX " ^?ΜVcy"rw +c.ˊ{$4_>߈B fF3Kp?4a1Wkm% bgO>w+u5n^fV;^]5ϯ8-.V=e_~S,v]Aٲ0CG\ 5%W)دP[&rrD@tT쾲RNId.Y7CtHjpd?uPePW[.~0߿>6[2nrn-og#R^/e>rRUcom&'*0Ͽ_ˡ\qSq H"#S>4H#AQc\Fx(*2Mܒ (qD9o x2[*+/ 鈣:5[}TM 8nwElPbh~.WAWeLᯒlJ{ 7/K >Q:퉐J7fP.ySC2à/Ddj^n⤋2hԘ[?W,T_S|)aFPK 4*v *.X+L600#ߟ,Z6N*=εOFEf8G?V: Tƺ!U$1wg%gdY,xĽxFws7a˫cڮt譣qHg8w3tڼ<(Ft%cQe[c$ET-ʲ;w둫JV.'KUxvu"@MxZAL`L"[ N"~3bwXsdJA/Q"L xZoFd(7I)w񂮒_/'Y4]9/Qfa}b-uߜ +ob#km5P>cNE;ra laӴSr)xekʯ} R \hPb_V쏋;OFc&%p}OY3%" #+sxbbPʵcf_wTX;OP1esl[qY+ptps 0ZdR +}؁ +sjX'MW! +@E! 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(MHS+?%02pfg%@s_AͫXP),~C*0茸@nZqtTMZlĊ QllLF-͂[}>\s݅amξCt&<+c5. +veMN:kvG&~ *TӹO?梆hfF;Cw&=[]`_hεCw'2Ww-p[cO)VxN&KIԾZ2JmU<T(Y^>0}gaOzULhDN%!uVlҜdSb:TX2[/-=JƏq uGҤwWMo2I\zta~,E?P }-찬G)ĀV1Z ݮ|o-jEp,@, YA;y'Ă}ie|eS֔o< py12i*N߬A?*ՐZDQ]0qmO!|x;TBtRғnOgfUsɸ|\v:! utSm'WКO~, m j5Ѷyc@¢#V4/62Ar= Cx>][{Ir +$@W +?0㨤 +B+v06?mOu['kUS1+4/஋9u7$uc'\e[ 57ɖQw +YS8HG1G09 zȣGr/nJ]ƮK/+Kƒ'l^-ݢΝJ'@EknQ,MyMtc$)S %실Y UF 2 +JXnxƬBqv/Z>bCLN`M# Zyz^CCp(}!n9UGtW|!|?mU.A0)_s>AFs7@Ekw#gGNȋ_sr92wbk +a *g_'IHnNcbFԋ_{ Cxma^lT/mU: &SSJSzV 7aqbz-2|J˭{Ҏ!ė;f@~æ(+lt%v?'|HpH3r)+ѻU!&*jYwGnP pPyyj>8Vs.'_a LF,esYV7N!R\AvgFa/%]$+/ +L8D*2:I)uqxa֜!q3y?2'#*YE+L̐:OO|X:?.1Bcl/ZCz9!Rz=3`eT@N޴0 ?2xk쥖ٵh}#='c~Cu/AXS~$ +5r׻qy8[ЉMXziŽ@;8#O(\ƙT +9| @%Vb#>O苫UhsDRts767(ƣ! (՚|5D +Z;*b. N'ueNLa%' ηV0(2pΤiЦ~ dc`@4 W"M:Eg0M짒$CdsᬬlpcBx%%S r%mθ(Iq9.亥TH{~/qO(^4J0YEXO*_(c%ΰK۸¨VL,mۿyDoIqCCv1&~$;O.0t6?.V̰RU,rkXF=̮ r>V \km|IS JpOx3eBbΦ8 n&58N!J51^[|+pG Og*ӥ ƫ8!cS mD&kSyO}->R!ӣ Q#,8#&Nd4\>\q66C٦"-$KJh}N ҍܓ~EUFH+"7"Q]MP*@nu* LKji6oIsrgW^,c-LAwzJC2 MzkL9l%_Vd-ptMgvYnt&lcNrt:-6NY;DUu:4rJg'U(?L gX`Lx~[| j0#^3UTD [T T 2ԄT2Ru/dУ9;S:Oū2>7R90JJ66=Vx&N>zݔnA)\V0jhrXZfM."z{9_J gcQOr)V ۑR@ 9'D)YdyIUXٓRi|ˬI;ZP-TH`<1{bF.j\Z^f쫷S/IZٍ~x3d=}CTq{DQUnȀ礑;PbRGg]#jno/F/l3?z6/]2P7E$;u"cgEΚʐ/qcHYVLz2 +f{[0Bà\ykO1rֆbas_7O3_b{̵̫Z*~;Vo'וּ{\K(YSdOx>HsOZs1둇@zw=zmPivyD69렞۾5~Aw7'trD췪3}7 >= ' yi\KsA&D~{ØIaVE)כeB|9/َ.n 1!+&[}'bg/s"RM%< +KW1fM[nD3Rt;$W ƊK(:PW3a/qt妁NufE)8ͰkSNVi-;BC`:*NP-%we)CRߧc+9+!o0ɔN$hk (cflRX^ 0~!;Dfjڠm;4 @r{*ܩMSA߮jV|d\[!̰ٓ =P7 ߫H +GH^.h++*llPS-o} [(@knHWMUL?FF_ֿj C@{b$ #b +2M: +涡KAQթiT񚘀Ŋ1bwgJԿ(-_$@.5 _GT `1A:GPDuXSxSœ:$ݗY_1?H$ؖY]o8i:Ch`-ej(W`ޯRųQ, w\=ESd1 2@#$埣9&c})k>;cm9GDIrmEcڇ-lu%z:A,z |Y"#DՓ4 m2o|eQ<23f4t+cѻ9ɛMua^dJkON6{)̉ QoBm:RvDf3qwy}(qy\s؀FB6}r.*vX?ܮ%OH(ʑ<-6U@xrbӫCwrj DY~ EʉFWw)g|͠|tƀŞ׎])͌ft%sih2#Gͥ"̀/`Ad5#ƣa.eb ^&X^M۵@s巶TCtnS "v5ӝP` +c51;^ezyk 7YArԨ%*P }1Drک˵461N'Tq_8zb(D]?ѺTjpΐ^kAކQ-9Ϡ7߹F"qMyկ$u_:!KW᝔f +zr=2&4")m  K^2 x|WوO|rrXbc=;JKW-] U bCV%7Iһ*=:V@zW2!U]< Z[ZIu_K}(6WO3՟nK^TěLk u +A2C05o]}I(&* ;@ar@\-@|5JZT .1T"aJk:bĖD| +endstream +endobj +2285 0 obj << -/Type /Encoding -/Differences [33/exclam 40/parenleft/parenright 44/comma/hyphen/period/slash 65/A 67/C/D/E 72/H/I 75/K/L/M 80/P 84/T 86/V 97/a 99/c/d/e/f/g/h/i 107/k 109/m/n/o/p 114/r/s/t 119/w/x/y] +/Length1 1620 +/Length2 18673 +/Length3 0 +/Length 20293 >> - +stream +%!PS-AdobeFont-1.0: URWPalladioL-Ital 1.05 +%%CreationDate: Wed Dec 22 1999 +% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development +% (URW)++,Copyright 1999 by (URW)++ Design & Development +% See the file COPYING (GNU General Public License) for license conditions. +% As a special exception, permission is granted to include this font +% program in a Postscript or PDF file that consists of a document that +% contains text to be displayed or printed using this font, regardless +% of the conditions or license applying to the document itself. +12 dict begin +/FontInfo 10 dict dup begin +/version (1.05) readonly def +/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def +/FullName (URW Palladio L Italic) readonly def +/FamilyName (URW Palladio L) readonly def +/Weight (Regular) readonly def +/ItalicAngle -9.5 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +end readonly def +/FontName /LHHPET+URWPalladioL-Ital def +/PaintType 0 def +/WMode 0 def +/FontBBox {-170 -305 1010 941} readonly def +/FontType 1 def +/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def +/Encoding StandardEncoding def +currentdict end +currentfile eexec +oc;jtD[1ƅpTo9`.:ypJ*l'e}#)&7+/^ W{LZ60VQR^λ3r)#v$p~c&'ſ+ %;a~!ty`rcv7q hK[zS=E+GQFWVMcY*K/ii;tEW($eoLD) At[X7_U*D XQ YrvB>:#us +(H-kx;u mCwWU/3k2o{{]Q`^@0Z>1` wa)&]u[x߯&?N~&?VD䵀P(.y-aSlV6?!bPGuTNמ q*e<*VΤni`ՙoA0U |)P]_"dN`,g +U@?$r8~L*vV)U'ov7tJ\{ $} 2K(g>[/iǭ2Qݓ $BU?XJG(1|Y =Y'?UZҜe߼vƷg¦ + q!K:FQ&>)R@!bZDW%aԟ1IV<'+D-82uDڨl:rigy"iDn./nQrr3ѻ:cw*|4 sF8$q=W6"CDU%rRqzp](0R{?uW Z XQo!oBjX!6w噗N15LE Ŷ.;'(aRt]f#?uXPq-@4e@Y6i'uozJ;-)TvWZmj\3X{o&_UȻnn\ b"O t7R'7HE[ad'X*R" +<+ ׺Hxo[ ?f\}$Š +fDRЃn mŠΟ>\Vܻ=XMH2&Bf8̽܇w<]JB%aL፞]e~URZwyV[hVɊȑM H&mȽU+J0V7A7gs157B`X9c!Dq–&/c@2-ըQZj"x)+J0c 0V!f $.0| :R(fۺyE{Ka'Oq2Ƽ#~fȰ _ؾ\I9A 0 ,AxaYb$l56>ȣL5Gg!PY)ft׈[jysZL"Jy,RoaQ):=sݞK:ݹn4f"8u?"N#i^AfBeΊFG:g"Lrr[muς;Ǵ} C\Zˋiڿ֞(Y ^ ,uo!-j9$Oo$N X fo ug 9B$s~u]ٵ͖C^:o/oƫG͊a`Kgv&: +pƂX~ GҰ#zߕVI$rr}WE2dߟ \ۣ~*d#aIAdTY/J$Ԋ1`^a|x.sYN5Z1kwkW*f``´9Yͨd!tt.`ys!wpdKѫ<bE<MQJGW-:Jn\98%7~Uu?j-ƫ$,b۴KKkk4~tt~>(0ȷ`_>g24HLV_K&`ҋ/2ɋ&w?f^kL(b3Al9(7>y6W| aVD7W!'c +?(H ‡&Z[! 0 %#'/D#ԟjȕՑϜmmV+2 lM`{%2d4V`SF 6Y _?/> hGyI<+* VojN=vTƄ_Vw(F3ڨ,.[ntTFiɫ@Ndȅ39ChrZ"Goq'C=g}rIՂcڂ;OPlM;Ӟ  _% +`!=Ys\˿A*BWɊ +=0׋kDTOkydtP{Vta?lxhʍâpn.2Vr%v%i)*D/P800g['bSJzĐ/$5r5Ә]0:NiB%ĿH)eIĔhS!OXO4+2== `_4ٻNUMړl%&ka ; Бz_vKtf1F[ѓ}:F9>q0("u3TQ `cMŨؒ<ݖɦ!pE<"+nLg!:˼Ab^lO0iSr~wҘ_g@NJ:nf%$77JNHIHVweʞ%.ьx PS!ޢ49$jʫ)@ <,GK5KlfĖr%LY7? 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Z;0|Pyz._# +{8 (5L< ++ZVmJ{WxOCدfӊBHH8Z\-9E`MI5FIn8ӟbGa@N ֲ#Rbɘ(ȢJ7FJwOw:}ف3iy!).]1.(YlāSŸ0QFoD WSu![/# (rIIS&ASxOVb~[BU!j%m3L$8,}lvg>P඙Owtp%!\+y$pVPV $s占g& {aU> lo5Ӣ[E /( ]jPK:a6C2K*w-XWh@.Ac7  NPi()8s-a-?pu٣E>,}k#COrԴHg58>D"?j:fyF(}~}=D,AuyN!F!k>Fy汥+/џB&?Œb +A&淛A鐥Ylw[mHEEr64C|?Ʉ!%~SwDSb遍Lr~#z,˥y +%rQgB +K<`h{"F7#ٰ&6t1J +)+ix \X3I# ~3k wf襪ߠF%%p[&;~ +ި16=Or Ϝ 94w2yy;wc~  z>b3>FgU0c(4`ؒ4/#uo:m0B|XPtln22]YZvX<w}#b$Q |U;˷۴3kp55*O깿F>YG>֜'tE͸}pH¥+1 6,C&Fc>cR. :-?2|N8TfQK"ɔgsqa+j 1ݫ=yD +B:E "ޖF0@ +%^uK ҶN#F:3=^䭬tm^b RzTkX0i6kfw{$~Dk\ ZRys:Ϳ%FGmJ*i5k$Di3͌h ?p|cF3(7 Αd2uVe5>=HmIe̸sc0뾯,ZEJ[: S|(+sE ղY24V%vD55~I}IEb,o}!ƻ,tEUЦhuB̔F'mL)$&$a p&+VUpc?')](=Eo_ݩ)4hxN,凙{'D@JB~l18$o֓ag~l8mҹ֪I,ڈ=0c}r{GRf6gB%,pi~^.! 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Q|̢D9z%vfbcǔYFzArȚa06NYOE#not-Wγ>7y|(: @a +&~="M; vv94%*rAۃkcgr6әOl"pxA>9t|^~9Tyj?Ӱƫ@TP 0_Vx %u68[/y&1at?^ xO&Oµtn`Մ&f$_Ģ:> +n'>(^?Q-bwbo[=Hvٞp VkVrs*Pf1=) lz% A"L9#8Hj3:5#:YfvjO&LSB"Az٤||<%QA?NjWa0ٓc^Lb(. ?dH& +3Fʒw{v4%t-̡h)Axmc%$g-"OqE32zeߘL:={̾U{K%\IKކ/jbwJeGtsBB5P߅"x.u u6Pr$".W$A ;+ +k ,fBH-H!Z;L}g]J^sKX-!rSf +ps|*#}tu(~?H02yӍӡ^zW'jC&fv# g9YfNg@~^v0skJi^SA0 (*{YݢIrKB!o?X, 6P4 (}rbEDrx3/̴Od/FIRGd f }J)})yz6Oo~/*tҎnx 9K6{)e_.^e)z]/ϤMYo9,gTE눮}qtGۍeX_wxl NU=wUw*5q6ٱ]tR46[@[LJ*8*js]p*4P+5[ + 9}v5$HVbjFa?}#b5]*S"^6>ؐ}uFad~Qڡdz Io>n}Ċro 'Xd`C- ӒduǂT(nv8m͘U67BYgR>`ld- +c%ˣ7P1xp]w/FNN0qe7Y?*KPp\|i HըYNU0WsK9CںpS^"v#i"ʆIC"IPA{Qmt_ZѦnzE] U5Pd"[`$k=̪GˡZf;FLx5@> khV7 + T@rrz)(]ߠK+ؘfiD:Hձ޻¬BWU!|5c}5R#_훎Mez4Q:Фk#8A PbwƙhfOokZ9\g$o.ϲWO~T5 G$fϋk=r /3Gq ޡs͌)vx*P*=c~Vz7dNS4BS}RNaVPm>Qi6h%8ZֽPGQqIph,1-(luU}Imk| =ĺY#Zd$ھNTD鍔(g)u Tv#&,vq͹ |8@\N.U4ߢ?AQ^p+tn(I`#Ǧ¬Hh؎0$%,K3*Z耘1̃Y9^5~\*j7 o]-Nɻ5םڃf1!MPK7f iE:kaDSV + ѫBZ*p "Ի[V{V!36>&lݟhv6GC&LmΨbО{6nS=o;Jۧ.'RȝN Ȣ[\Z^߅ل +%XZuq +gյ~V…Ve;[ LM }f`t7 Q4VZ# +  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D" D# D$ D% D& D' D( D) D* D+ D, D- D. D/ D0 D1 D2 D3 D4 D5 D6 D7 D8 D9 D: D; D< D= D> D? D@ DA DB+C+& endstream endobj startxref -2821605 +2882598 %%EOF diff --git a/docs/src/precs.tex b/docs/src/precs.tex index 26492be9..9211f594 100644 --- a/docs/src/precs.tex +++ b/docs/src/precs.tex @@ -84,6 +84,102 @@ $ptype$ string as follows\footnote{The string is case-insensitive}: \end{description} + +\clearpage + +\subsection{Set\label{sec:precset} --- set preconditioner parameters} + +\begin{center} +\fortinline|call p%set(what,val,info)| +\end{center} + +\noindent +This method sets the parameters defining the subdomain solver when the +preconditioner type is \verb|BJAC|. More precisely, the parameter +identified by \fortinline|what| is assigned the value +contained in \fortinline|val|. + +{\vskip1.5\baselineskip\noindent\large\bfseries Arguments} \smallskip + +\begin{tabular}{p{1.2cm}p{12cm}} +\fortinline|what| & \fortinline|character(len=*)|. \\ + & The parameter to be set. It can be specified through its name; + the string is case-insensitive. See + Tables~\ref{tab:p_cycle}-\ref{tab:p_smoother_1}.\\ +\fortinline|val | & \fortinline|integer| \emph{or} \fortinline|character(len=*)| \emph{or} + \fortinline|real(psb_spk_)| \emph{or} \fortinline|real(psb_dpk_)|, + \fortinline|intent(in)|.\\ + & The value of the parameter to be set. The list of allowed + values and the corresponding data types is given in + Tables~\ref{tab:p_cycle}-\ref{tab:p_smoother_1}. + When the value is of type \fortinline|character(len=*)|, + it is also treated as case insensitive.\\ +\fortinline|info| & \fortinline|integer, intent(out)|.\\ + & Error code. If no error, 0 is returned. See Section~\ref{sec:errors} + for details. +\end{tabular} + + +\noindent +A number of subdomain solvers can be chosen with this method; +a list of the parameters that can be set, along with their allowed and +default values, is given in Tables~\ref{tab:p_cycle}-\ref{tab:p_smoother_1}.\\ + + +\bsideways +\begin{center} +\small +\begin{tabular}{|p{3.6cm}|l|p{1.9cm}|p{3.6cm}|p{6.5cm}|} +\hline +\fortinline|what| & \textsc{data type} & \fortinline|val| & \textsc{default} & +\textsc{comments} \\ \hline + +\fortinline|'SUB_SOLVE'| & \fortinline|character(len=*)| + & \fortinline|'ILU'| \par + \fortinline|'ILUT'| \par + \par \fortinline|'INVT'| \par \fortinline|'INVK'| \par \fortinline|'AINV'| + & + & The local solver to be used with the smoother or one-level + preconditioner ILU($p$), ILU($p,t$), + Approximate Inverses INVK($p,q$), + INVT($p_1,p2,t_1,t_2$) and + AINV($t$); note that approximate inverses + are specifically suited for GPUs since they + do not employ triangular system solve + kernels, + see~\cite{BERTACCINIFILIPPONE}.\\ \hline +\hline +\end{tabular} +\end{center} +\caption{Parameters defining the solver or the details of the one-level preconditioner. +\label{tab:p_smoother}} +\esideways + +\bsideways +\begin{center} +\small +\begin{tabular}{|p{3.2cm}|l|p{2.6cm}|p{2.6cm}|p{6.7cm}|} +\hline +\fortinline|what| & \textsc{data type} & \fortinline|val| & \textsc{default} & +\textsc{comments} \\ \hline +\fortinline|'SUB_FILLIN'| & \fortinline|integer| + & Any integer \par number~$\ge 0$ + & 0 + & Fill-in level $p$ of the incomplete LU factorizations. \\ \hline +\fortinline|'SUB_ILUTHRS'| & \fortinline|real(kind_parameter)| + & Any real number~$\ge 0$ + & 0 + & Drop tolerance $t$ in the ILU($p,t$) factorization. \\ \hline +\hline +\end{tabular} +\end{center} +\caption{Parameters defining the smoother or the details of the one-level preconditioner +(continued).\label{tab:p_smoother_1}} +\esideways + + + + \clearpage\subsection{build --- Builds a preconditioner} \begin{verbatim} diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex index 7113ca93..f2925f49 100644 --- a/docs/src/userguide.tex +++ b/docs/src/userguide.tex @@ -17,6 +17,8 @@ \newtheorem{theorem}{Theorem} \newtheorem{corollary}{Corollary} \usepackage{listings} +\usepackage{rotating} +\usepackage{microtype} \usepackage{algorithm2e} \usepackage{minted} \usemintedstyle{friendly} @@ -97,6 +99,8 @@ \newcommand{\vdata}{\hyperlink{vdata}{{\tt psb\_T\_vect\_type}}} \newcommand{\spbasedata}{\hypertarget{spbasedata}{{\tt psb\_T\_base\_sparse\_mat}}} \newcommand{\vbasedata}{\hypertarget{vbasedata}{{\tt psb\_T\_base\_vect\_type}}} +\def\bsideways{\begin{sidewaystable}} +\def\esideways{\end{sidewaystable}} \begin{document} { diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex index 770f9194..aa142adf 100644 --- a/docs/src/userhtml.tex +++ b/docs/src/userhtml.tex @@ -17,8 +17,14 @@ \newtheorem{theorem}{Theorem} \newtheorem{corollary}{Corollary} \usepackage{listings} -\usepackage{algorithm2e} +\usepackage{rotating} \usepackage{microtype} +\usepackage{algorithm2e} + +\definecolor{bg}{rgb}{0.95,0.95,0.95} +\usepackage{breakurl} +\usepackage{mathpazo} +\usepackage[english]{babel} \ifpdf \newmintinline[fortinline]{fortran}{} \else% @@ -84,6 +90,8 @@ \newcommand{\vdata}{\hyperlink{vdata}{{\tt psb\_T\_vect\_type}}} \newcommand{\spbasedata}{\hypertarget{spbasedata}{{\tt psb\_T\_base\_sparse\_mat}}} \newcommand{\vbasedata}{\hypertarget{vbasedata}{{\tt psb\_T\_base\_vect\_type}}} +\def\bsideways{\begin{table}} +\def\esideways{\end{table}} \begin{document} \lstset{language=Fortran} diff --git a/test/pargen/runs/ppde.inp b/test/pargen/runs/ppde.inp index 470bcf58..6b758ab9 100644 --- a/test/pargen/runs/ppde.inp +++ b/test/pargen/runs/ppde.inp @@ -8,11 +8,11 @@ CSR Storage format for matrix A: CSR COO 0200 MAXIT 10 ITRACE 002 IRST restart for RGMRES and BiCGSTABL -INVK Block Solver ILU,ILUT,INVK,AINVT,AORTH +INVK Block Solver ILU,ILUT,INVK,INVT,AINV NONE If ILU : MILU or NONE othewise ignored NONE Scaling if ILUT: NONE, MAXVAL otherwise ignored 0 Level of fill for forward factorization -1 Level of fill for inverse factorization (only INVK) +1 Level of fill for inverse factorization (only INVK,INVT) 1E-1 Threshold for forward factorization -1E-1 Threshold for inverse factorization (Only INVK, AINVT) -LLK What orthogonalization algorithm? (Only AINVT) +1E-1 Threshold for inverse factorization (Only INVK, INVT) +LLK What orthogonalization algorithm? (Only AINV)