From 7e0347281e4dfee9cd8a59cad0df0efc305bcbc0 Mon Sep 17 00:00:00 2001 From: sfilippone Date: Tue, 23 Dec 2025 15:07:22 +0100 Subject: [PATCH] Docs updates. --- docs/html/index.html | 2 +- docs/html/psblas.png | Bin 4604 -> 1125 bytes docs/html/userhtml.html | 2 +- docs/html/userhtml22x.png | Bin 1405 -> 1139 bytes docs/html/userhtml23x.png | Bin 1222 -> 1307 bytes docs/html/userhtml24x.png | Bin 985 -> 1164 bytes docs/html/userhtml33x.png | Bin 1743 -> 1766 bytes docs/html/userhtml6.html | 2 +- docs/html/userhtml7.html | 2 +- docs/html/userhtml8.html | 2 +- docs/html/userhtmlli1.html | 2 +- docs/html/userhtmlli2.html | 10 +- docs/html/userhtmlse1.html | 54 +- docs/html/userhtmlse11.html | 5 +- docs/html/userhtmlse2.html | 286 +- docs/html/userhtmlse3.html | 16 +- docs/html/userhtmlse4.html | 6 +- docs/html/userhtmlse6.html | 499 +- docs/html/userhtmlse7.html | 640 +-- docs/html/userhtmlse8.html | 45 +- docs/psblas-3.9.pdf | 9802 ++++++++++++++++++----------------- docs/src/datastruct.tex | 8 +- docs/src/error.tex | 16 +- docs/src/figures/psblas.eps | 80 +- docs/src/figures/psblas.fig | 25 +- docs/src/figures/psblas.pdf | Bin 7196 -> 7032 bytes docs/src/figures/psblas.png | Bin 4604 -> 1125 bytes docs/src/intro.tex | 93 +- docs/src/methods.tex | 4 +- docs/src/penv.tex | 9 +- docs/src/psbrout.tex | 6 +- docs/src/toolsrout.tex | 34 +- docs/src/userguide.tex | 2 +- docs/src/userhtml.tex | 2 +- 34 files changed, 5827 insertions(+), 5827 deletions(-) diff --git a/docs/html/index.html b/docs/html/index.html index aca21355..0fb6b60e 100644 --- a/docs/html/index.html +++ b/docs/html/index.html @@ -23,7 +23,7 @@ class="pplb7t-">Alfredo Buttari
Fabio Durastante
Software version: 3.9.0
June 9th, 2025 +class="newline" />December 23rd, 2025 diff --git a/docs/html/psblas.png b/docs/html/psblas.png index c904340d8ba923dde6ace3f3930af97886e8abac..33a35ba0126d3bd49413ffcd3037271d5e24de16 100644 GIT binary patch literal 1125 zcmV-r1e*JaP)*ImL7V2A zMO$TiX75_R&BA!iT}Qx7j1jBfhGRCv#t)ya=Rb&TO z!!waYH6I(VMFp^53F8)POs)Ik0H$xgNn7prw_iINNx-%&{)t9!z;js^523H?tbP~J zS;VmNc{HlSV-|1iM|&7^3C3*KdNgiplH4?#=vSePs6V@T9mv<+ybhU88LB?6@ts~j z@An3-k?Zed|=Ew;KRmd);4JXUq=fi5Cb727E< zE>5ycZbLEs#CC zHER*JBD)1LXo@^m^i2v_Zhoxbk6D~;_c@+BZNYz1YAiDXW(V?%P8;&int}4w!W>a} r#slT6fjK)+TM}0yy2d1~jN^X+%j|me&zW~<00000NkvXXu0mjfXS*LC literal 4604 zcmZ`-cQhPYw?~jWqlD2S6MaM(5~B_>%48UWh%!1+M;8$_gb|`fMi(S{XY>+Rk3k3` zB1i}sJ$f$@01^Urxt#cIl3>yRbe;?4^IbrNEpmAIEc2s)ee_SE8V7*VwH_<#_sGw| zVIWNkPPPQzgqa!`@{Y|lrTzb7Dh4_00CKYH;fZcO>es5s z9BlEjSPfw)04D&2P4C^vrA~~Z@dRP``9e@2O@3Mke=;iAtdPee`3mFees284}9kG#vvi|=o5d`@l; zE<8VQK6tvq7XhG=7SPKTbd4?!=&NJC=UgP4MQNgL>TGumfYtK9(l>OpU^xj%OB|FF zsd#2$Enm?_F2Pbn{rS~UZA7kz5Njmmk%$nE6^YA5z zbWHZ;@T2ADH+z`u9=dghxb>MDFHb{Z-3!#M+-2h=?uj%P!y@Y#9;6Lsg zQu%v|F=8E7JpyZuYWQq=mfJ@lv^^jjQPTU3gIgyzUfzjFxhm@(NXl(72EwdFM?aj+ zi$uCpJhBXdc)z$|XZc4)9amq2TjipkE$l_%_Z%DC;J{3kqO-RMCz#WF?__~1`6hh8 zX*a4Lm&9*hLGy9_(zV()sEXGoo3ocf#Z>TNr`_s)K?;z*6XV>qFncl1bqhlYdZ24o zZ5T)^gxS18SUN=oBuT{%3Vr5tq^F5AwOS^2>w?~Ayyuq{a>DvR7TBn*bJOiX224MM zKIXM0mK-()T3-%IRh`avpdD@BJk+Fue{0ODHT(vi1RGA4&!0f{OlBEwy0MMbs&h1q zD6(dRqNr8MdWHNK3)Q4?W9C z)rK}NRdp$k4@C7790tv@531J>-Nn)~!|;M2+mKaN-Aej<1|Abz4@B=4S*9 z-5zmKEH(O~*ukBwuoHk^M%_ag?H6JiK8r93)eyUVA^IJ?Ak9xc=VLy=@ueo90e)(< z5g70Zf_=*@f_k#4k)ypqPnZv zTh^;eeNb>%!tid)NM53bd*)Lb#In`OxQNN*Qd5~x9sPTb+qm*=mcOBL5bOVcywblG zLH$G%e1j&!d%I9$A>A~pD9>8C&$4Y9Xng2Bc0 z8cR(LVZ-Gjb3;h0!Vmk^5fOOSRx4+vpoeLmI$D{5?AD^qV zM`;_xO55*yDbt_k^7H1A^Othuc`z7z8kJnS`+biQ)p%>w>!$N*oKGO>1iB+8EN)|VRc zwnTG+2haZ4##xSdrl?`WQe&eysIC_sZom0V-)*~QMbC$i6X3mkf&R6dOTpD6U2*;E zI%fIg$&{{ezh==R?E4T%PIsvkI|R6R^mQWdHSdEmQ!jD)B6KR*kb=%g$m|v{*l|3a{%qJJ*!pcsiRHV}eq?=QWFa!RSMId`b3@Y# z3u3z(@e7je$@6#e+tsAQ11B+xAWqM$G~f^}d@RmjBLA(IpKjs3N7c(kRA1<@O@V9! zn(MMAvxpaty;$??587lEz-1~nS!4I@w-?h%A_sAC!8u(UW3m=DVB&UgS}8mNOv7{g z%AScQy&O=zJ4KPbp~Kh#UQ0Ja z7vSBklu+#R`@nY>K!pPO)yA3^3-3?s+`pMUxWuaai^JpBYGSN|LvS|hqE1Zc?}ax) z`u0KtO+GPDYLR=l-8#^cP)4ob?3FH-IJOLy#PyDGQcM8|^lcbE8(m6{w?C}j%Zo?u z1%}T&ejplxFm*!-M^nGhW^dI0YGnryq>P3TKUeo)Aee?@SFctUg8}29U4bgRTPG7(*&fXSIbTKO?GowXZDu^Eik`c%p7V zBhmx~trb_-qbpdq89e zuTUZz(=PbGB*aW)Gw?1$mVfjzIIGF*uS_QlaE2a4! zXuB@3+7aS9R#MypyCRUR_cLufGF-2U8Z zZ@KMUS1-MDDQRPD03y3e*8+DR&&?jjBCElA18**oTslZ!@x1iqrE3A>d&G$5;jrJ^ zYgbP!XiK8bz#FvLy$lW0S3os~$|uq6$&PO1j=(DGh2s9J{;537tyT>Wu|&WhSFaJP1YIpXj9QU@fAAIL(^$c_D?>88e^R4Q<^;jzKI9*8J^b| zjXeL@;yCf!08{q1e2f?I+6rlk5eAz^udKX&&_=BxR=K50o^~ssPTW^`8luh7{4t#U z$vt5Y+es-{cM5+UyO>}?H38E)G$vBYaI1NU=1w8w6Uf=8TX}gbxo<{I==iONw#sgN zah5@`f|n^8c6)IM9jCPt^VwDwi^dc z_j%NS^U>r|H$UMfc*)jkn5?Uml%&@eBSRza8|YvXoeN2pVK&OK|2kyYwwt+~_gLuVSLgx0 z2Hx)~F#nnYJ)Wv$ads!qp@r>+Fy$-XQo=YM+U7!v33*oV6DN#MqI+j9hc1>L0DGiu zW)kQWXsLOOS5qfW<{15gsDI5DUK!heczG=DV_;Lw;j5$E( z&x7V-V{6LVgt5%q#hGGf*7@zSNDpQFD6^%&aI4>CnHd;%)Q)tR!W_UO)3t@YiWyQt zN&>39f9$cWSmA|QMB2HQoj1c0N$w*%r)rmE$Hs-d}vYia}U6Q}$em5bUkI}2v3U3CoQvkb-O z>Lb%ZpJp7066o@D-;y7gKm@XbkVG~UrNS(vL~TX>7H3W`N^^JWs;nOuqIZL=JyEB7{so$7VY20GNxPYq4}a=J|zRXvduL)-RL{(=F_!wq7=-nwS1bg7x~ zug7|Ir@u@zz4rt-mC~`JSpN7$u)~u|>-3~)A4nQS;n0)9?3YnuGNalP#ArCA;(+QB zSVv&K*(aQ&K?P6Ei0&Dmh=}iCiu}8_7eP`r>Cfkeo%np6NPuRr+Ci0{>?Dt2#^V?D zN5N|`J8^V^bw{0I6^K|<+C>H>@|5~NCBWtIcb2j_}NE*d6l#n>t`(Y0%M$pj}SuFi?7bd&Ks6EEfy(3N(Y+Lm!#a9+fz&6%>B3yNA8A!{h(op`2n` z_`-qbuLuvl6f~Umab8Fdp9l8N4;+ym{uD5IIe$r*3{(Ot(fiEb>>sAuIA5F_1)r{g kxT?K}ElynOrUb8=u7Ubr%E=vS^o1z}MokA*iL?&=4?Q$~ga7~l diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index aca21355..0fb6b60e 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -23,7 +23,7 @@ class="pplb7t-">Alfredo Buttari
Fabio Durastante
Software version: 3.9.0
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-

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

diff --git a/docs/html/userhtml7.html b/docs/html/userhtml7.html index aed722b3..e0a1208f 100644 --- a/docs/html/userhtml7.html +++ b/docs/html/userhtml7.html @@ -11,7 +11,7 @@
-

2This is the normal situation when the pattern of the sparse matrix is symmetric, which is equivalent to diff --git a/docs/html/userhtml8.html b/docs/html/userhtml8.html index 61ffca5a..45b2dc72 100644 --- a/docs/html/userhtml8.html +++ b/docs/html/userhtml8.html @@ -11,7 +11,7 @@

-

3The subroutine style psb_gefree — Frees a
  6.16 psb_gelp — Applies a left permutation to a dense matrix
  6.17 psb_glob_to_loc — Global to local indices convertion +href="userhtmlse6.html#x12-950006.17" id="QQ2-12-124">psb_glob_to_loc — Global to local indices conversion
  6.18 psb_loc_to_glob — Local to global indices conversion
  6.19

The software architecture allows us to offer support for many alternatives in the implementation, including usage of heterogeneous platforms, and computations -performed on GPUs throuh CUDA. There is support for GPU computations through -OpenACC, but it is at this time a highly experimental version; we plan to +performed on GPUs throuh CUDA. There is also support for GPU computations +through OpenACC, but it is at this time a highly experimental version; we plan to also look at using accelerators through OpenMP as support from compilers improves.

The project is lead by Salvatore Filippone; a number of people have been @@ -58,7 +58,7 @@ chronological order:
Dario Pascucci

-

+

Salvatore Filippone
@@ -71,12 +71,12 @@ Fabio Durastante

-

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-

diff --git a/docs/html/userhtmlse1.html b/docs/html/userhtmlse1.html index d6d5eaee..5d2b9fed 100644 --- a/docs/html/userhtmlse1.html +++ b/docs/html/userhtmlse1.html @@ -10,7 +10,7 @@ -

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1 Introduction

-

The PSBLAS library, developed with the aim to facilitate the parallelization of +

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 @@ -27,30 +27,31 @@ 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 2008 [

The PSBLAS library version 3 is implemented in the Fortran 2008 [17] 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 2008 offers a number of advantages over Fortran 95, mostly +

The use of Fortran 2008 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 [11]; other works discussing advanced programming in Fortran 2008 include [21, 19]; sufficient support for Fortran 2008 is now available -from many compilers, including recent versions of the GNU Fortran compiler from -the Free Software Foundation, and the FLANG compiler from the LLVM -project. -

Previous approaches have been based on mixing Fortran 95, with its support for +href="userhtmlli3.html#XRouXiaXu:11">19]; sufficient support for Fortran 2008 is now +available from many compilers, including recent versions of the GNU Fortran +compiler from the Free Software Foundation, the FLANG compiler from the +LLVM project, and the Intel OneAPI compiler. The README file contains +a list of compilers against which we have successfully tested the current +release. +

Previous approaches have been based on mixing Fortran 95, with its support for object-based design, with other languages; these have been advocated by a number of authors, e.g. [16]. Moreover, the Fortran 95 facilities for dynamic 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 -that are quite difficult or even impossible to predict at implementation or -compilation time. -

The presentation of the PSBLAS library follows the general structure of the +href="userhtmlli3.html#Xmachiels">16]. The Fortran 95 facilities for dynamic memory management and +interface overloading ensure that the library can take care of runtime memory +requirements that are quite difficult or even impossible to predict at implementation +or compilation time. +

The presentation of the PSBLAS library follows the general structure of the proposal for serial Sparse BLAS [8, 9], which in its turn is based on the proposal for @@ -58,16 +59,15 @@ BLAS on dense matrices [15, 5, 6]. -

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 +

The applicability of sparse iterative solvers to many different areas causes some +terminology problems because the same concept may be denoted by different names +depending on the application area. The PSBLAS features presented in this document +will be discussed taking as a reference a finite difference discretization of a Partial +Differential Equation (PDE). However, the scope of the library is wider than that: it +can be applied to finite element and other 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 @@ -88,12 +88,12 @@ applications. -

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-

diff --git a/docs/html/userhtmlse11.html b/docs/html/userhtmlse11.html index 92f9eb90..58780efb 100644 --- a/docs/html/userhtmlse11.html +++ b/docs/html/userhtmlse11.html @@ -464,11 +464,12 @@ class="newline" />An integer value; 0 means no error has been detected.

This subroutine is a driver implementig a Richardson iteration

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

with the preconditioner operator M defined in the previous section. +class="zplmr7m-">M defined in section 10.

The stopping criterion can take the following values:

diff --git a/docs/html/userhtmlse2.html b/docs/html/userhtmlse2.html index 7dc3cb8f..626ad78a 100644 --- a/docs/html/userhtmlse2.html +++ b/docs/html/userhtmlse2.html @@ -10,7 +10,7 @@ -

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2 General overview

-

The PSBLAS library is designed to handle the implementation of iterative solvers for +

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 @@ -33,14 +33,14 @@ The ongoing discussion focuses on the Fortran 2008 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 -applicaiton layer that has been strongly inspired by the Basic Linear Algebra +application layer that has been strongly inspired by the Basic Linear Algebra Communication Subroutines (BLACS) library [7]. Usually there is no need to deal directly with MPI; however, in some cases, MPI routines are used directly to improve efficiency. For further details on our communication layer see Sec. 7. -

@@ -52,8 +52,8 @@ href="userhtmlse7.html#x13-1060007">7.
-

-

+

PIC


PSBLAS library components hierarchy.

-

The type of linear system matrices that we address typically arise in +

+

The type of linear system matrices that we address typically arise in the numerical solution of PDEs; in such a context, it is necessary to pay special attention to the structure of the problem from which the application originates. The nonzero pattern of a matrix arising from the discretization of a @@ -71,12 +71,12 @@ PDE is influenced by various factors, such as the shape of the domain, the discretization strategy, and the equation/unknown ordering. The matrix itself can be interpreted as the adjacency matrix of the graph associated with the discretization mesh. -

The distribution of the coefficient matrix for the linear system is based on the +

The distribution of the coefficient matrix for the linear system is based on the “owner computes” rule: the variable associated to each mesh point is assigned to a 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 [14]. Dense vectors conform to sparse matrices, that is, the entries of a vector follow the same distribution of the matrix rows. -

We assume that the sparse matrix is built in parallel, where each process generates -its own portion. We never require that the entire matrix be available on a single -node. However, it is possible to hold the entire matrix in one process and distribute it +

We assume that the sparse matrix is built in parallel, where each process generates +its own portion: we never require that the entire matrix be available on a single node. +However, it is possible to hold the entire matrix in one process and distribute it explicitly1 , @@ -98,10 +99,10 @@ even though the resulting memory bottleneck would make this option unattractive in most cases.

2.1 Basic Nomenclature

-

Our computational model implies that the data allocation on the parallel distributed +

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. -

Each point of the discretization mesh will have (at least) one associated +

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 sub-domains assigned to the parallel processes, we classify the points of a given sub-domain as following.

-

+

Internal.

-

An internal point of a given domain 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 +

An internal point of a given sub-domain depends only on points of the + same sub-domain. If all points of a sub-domain are assigned to one + process, then a computational step (e.g., a matrix-vector product) of the - associated with the internal points requires no data items from other - domains and no communications. + equations associated with the internal points requires no data items from + other sub-domains and no communications.

Boundary.

-

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

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

-

+

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 - 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 domain

A halo point for a given sub-domain is a point belonging to another + sub-domain such that there is a boundary point which depends on it. + Whenever performing a computational step, such as a matrix-vector product, + the values associated with halo points are requested from other sub-domains. + A boundary point of a given sub-domain is usually a halo point for some + other sub-domain2 ; therefore the cardinality of the boundary points set determines the amount - of data sent to other domains. + of data sent to other sub-domains.

-

+

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 +

An overlap point is a boundary point assigned to multiple sub-domains. + Any 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 +

Overlap points do not usually exist in the basic data distributions; however they are a feature of Domain Decomposition Schwarz preconditioners which are the subject of related research work [4, 3]. -

We denote the sets of internal, boundary and halo points for a given subdomain +

We denote the sets of internal, boundary and halo points for a given subdomain by I, |Hi|. -

@@ -215,8 +217,8 @@ class="zplmr7y-">|.
-

-

+

PIC


Point classfication.

-

This classification of mesh points guides the naming scheme that we adopted in +

+

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 Library contents

-

The PSBLAS library consists of various classes of subroutines: +

The PSBLAS library consists of various classes of subroutines:

-

+

Computational routines

-

comprising: +

comprising:

  • -

    Sparse matrix by dense matrix product; +

    Sparse matrix by dense matrix product;

  • -

    Sparse triangular systems solution for block diagonal matrices; +

    Sparse triangular systems solution for block diagonal matrices;

  • -

    Vector and matrix norms; +

    Vector and matrix norms;

  • -

    Dense matrix sums; +

    Dense matrix sums;

  • -

    Dot products.

+

Dot products.

-

+

Communication routines

-

handling halo and overlap communications; +

handling halo and overlap communications;

-

+

Data management and auxiliary routines

-

including: +

including:

  • -

    Parallel environment management +

    Parallel environment management

  • -

    Communication descriptors allocation; +

    Communication descriptors allocation;

  • -

    Dense and sparse matrix allocation; +

    Dense and sparse matrix allocation;

  • -

    Dense and sparse matrix build and update; +

    Dense and sparse matrix build and update;

  • -

    Sparse matrix and data distribution preprocessing.

+

Sparse matrix and data distribution preprocessing.

-

+

Preconditioner routines

-

+

-

+

Iterative methods

-

a subset of classical and Krylov subspace iterative methods

-

The following naming scheme has been adopted for all the symbols internally defined +

a subset of classical and Krylov subspace iterative methods

+

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

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

  • -

    all data type names are suffixed by

    all data type names are suffixed by _type

  • -

    all constants are suffixed by

    all constants are suffixed by _

  • -

    all top-level subroutine names follow the rule

    all top-level subroutine names follow the rule psb_xxname where xx can be either:

    • -

      ge: the routine is related to dense data,

    • -

      sp: the routine is related to sparse data,

    • -

      cd: the routine is related to communication descriptor (see 3).

    -

    For example the

    For example the psb_geins, psb_spins and psb_cdins perform the same @@ -339,33 +341,33 @@ class="cmtt-10">psb_cdins perform the same href="userhtmlse6.html#x12-780006">6) on dense matrices, sparse matrices and communication descriptors respectively. Interface overloading allows the usage of the same subroutine names for both real and complex data.

-

In the description of the subroutines, arguments or argument entries are classified +

In the description of the subroutines, arguments or argument entries are classified as:

-

+

global

-

For input arguments, the value must be the same on all processes +

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

-

+

local

-

Each process has its own value(s) independently.

-

To finish our general description, we define a version string with the constant +

Each process has its own value(s) independently. +

To finish our general description, we define a version string with the constant

psb_version_string_
-

whose current value is

whose current value is 3.9.0 -

+

2.3 Application structure

-

The main underlying principle of the PSBLAS library is that the library objects are +

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 @@ -375,13 +377,13 @@ 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 +

Thus the first order of business is to establish an index space, and this is done with a call to psb_cdall in which we specify the size of the index space n and the allocation of the elements of the index space to the various processes making up the MPI (virtual) parallel machine. -

The index space is partitioned among processes, and this creates a mapping from +

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, each element of which corresponds t element of 1…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 +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 usually does so in the “global” numbering, and the library will translate into the appropriate “local” numbering. -

For a given index space 1

For a given index space 1…n there are many possible associated topologies, i.e. many different discretization stencils; thus the description of the index space is not @@ -423,51 +425,51 @@ class="zplmr7m-">ncol class="zplmr7m-x-x-60">i, denoting elements of the index space that are not assigned to process i; however the -variables associated with them are needed to complete computations associated with +class="zplmr7m-">i; the variables +associated with them are needed to complete computations associated with the sparse matrix A, and thus they have to be fetched from (neighbouring) processes. The descriptor of the index space is built exactly for the purpose of properly sequencing the communication steps required to achieve this objective. -

A simple application structure will walk through the index space allocation, +

A simple application structure will walk through the index space allocation, matrix/vector creation and linear system solution as follows:

  1. -

    Initialize parallel environment with

    Initialize parallel environment with psb_init;

  2. -

    Initialize index space with

    Initialize index space with psb_cdall;

  3. -

    Allocate sparse matrix and dense vectors with

    Allocate sparse matrix and dense vectors with psb_spall and psb_geall;

  4. -

    Loop over all local rows, generate matrix and vector entries, and insert +

    Loop over all local rows, generate matrix and vector entries, and insert them with psb_spins and psb_geins

  5. -

    Assemble the various entities: +

    Assemble the various entities:

    1. -

      psb_cdasb,

    2. -

      psb_spasb, @@ -475,12 +477,12 @@ class="cmtt-10">psb_spasb,

    3. -

      psb_geasb;

  6. -

    Choose the preconditioner to be used with

    Choose the preconditioner to be used with prec%init and prec%set, and build it with 3

  7. -

    Call one of the iterative drivers with the method of choice, e.g.

    Call one of the iterative drivers with the method of choice, e.g. psb_krylov with bicgstab.

-

This is the structure of the sample programs in the directory

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 +

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

  1. -

    Initialize parallel environment with

    Initialize parallel environment with psb_init

  2. -

    Initialize index space with

    Initialize index space with psb_cdall

  3. -

    Loop over the topology of the discretization mesh and build the +

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

  4. -

    Assemble the descriptor with

    Assemble the descriptor with psb_cdasb;

  5. -

    Allocate the sparse matrices and dense vectors with;

    Allocate the sparse matrices and dense vectors with; psb_spall and psb_geall; @@ -532,34 +534,34 @@ class="cmtt-10">psb_geall;

  6. -

    Loop over the time steps: +

    Loop over the time steps:

    1. -

      If after first time step, reinitialize the sparse matrix with

      If after first time step, reinitialize the sparse matrix with psb_sprn; also zero out the dense vectors;

    2. -

      Loop over the mesh, generate the coefficients and insert/update +

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

    3. -

      Assemble with

      Assemble with psb_spasb and psb_geasb;

    4. -

      +

    5. -

      Choose the preconditioner to be used with

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

    6. -

      Call one of the iterative drivers with the method of choice, e.g. +

      Call one of the iterative drivers with the method of choice, e.g. psb_krylov with bicgstab.

-

The insertion routines will be called as many times as needed; they only need to be +

The insertion routines will be called as many times as needed; they only need to be called on the data that is actually allocated to the current process, i.e. each process generates its own data. -

In principle there is no specific order in the calls to

In principle there is no specific order in the calls to psb_spins, nor is there a requirement to build a matrix row in its entirety before calling the routine; this allows the application programmer to walk through the discretization mesh element by element, generating the main part of a given matrix row but also contributions to the rows corresponding to neighbouring elements. -

From a functional point of view it is even possible to execute one call for each +

From a functional point of view it is even possible to execute one call for each nonzero coefficient; however this would have a substantial computational overhead. It is therefore advisable to pack a certain amount of data into each call to the insertion routine, say touching on a few tens of rows; the best @@ -595,23 +597,23 @@ process and pass it in a single call to psb_spins; this, however, would entail a doubling of memory occupation, and thus would be almost always far from optimal. -

+

2.3.1 User-defined index mappings
-

PSBLAS supports user-defined global to local index mappings, subject to the +

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

  1. -

    The set of indices owned locally must be mapped to the set 1

    The set of indices owned locally must be mapped to the set 1…nrowi;

  2. -

    The set of halo points must be mapped to the set

    The set of halo points must be mapped to the set nrowi + 1…ncol i;

-

but otherwise the mapping is arbitrary. The user application is responsible to ensure +

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 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

    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. -

    Assemble the descriptor with

    Assemble the descriptor with psb_cdasb;

  4. psb_cdasb; -

    Build the sparse matrices and vectors, optionally making use in +

    Build the sparse matrices and vectors, optionally making use in psb_spins and psb_geins of the local argument specifying that the class="cmtt-10">ia, ja and irw, respectively, are already local indices.

-

+

2.4 Programming model

-

The PSBLAS librarary is based on the Single Program Multiple Data (SPMD) +

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

Because of this structure, many subroutines coordinate their action across the +

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 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, -these routines cannot imply a synchronization. -

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

However there are 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, these routines cannot imply +a synchronization. +

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

-

+

Synchronous:

-

must be called simultaneously by all the processes in the relevant +

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

-

+

Asynchronous:

-

may be called in a totally independent manner.

+

may be called in a totally independent manner. diff --git a/docs/html/userhtmlse3.html b/docs/html/userhtmlse3.html index 3c6a86a7..3559a29b 100644 --- a/docs/html/userhtmlse3.html +++ b/docs/html/userhtmlse3.html @@ -60,8 +60,8 @@ class="pplb7t-">psb_epk_

-

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

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

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

All the general matrix information and the identification of 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 -interest to us. +class="cmtt-10">_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 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; diff --git a/docs/html/userhtmlse4.html b/docs/html/userhtmlse4.html index 6f812028..27dbb623 100644 --- a/docs/html/userhtmlse4.html +++ b/docs/html/userhtmlse4.html @@ -3129,7 +3129,7 @@ class="zplmr7m-">x and class="zplmr7m-">y

dot ← x(i)y(i). +src=

psb_gemlt(x, y, desc_a, info) @@ -3314,7 +3314,7 @@ class="zplmr7m-">x and class="zplmr7m-">y

/ ← x(i)/y(i). +src=

psb_gediv(x, y, desc_a, info, [flag) @@ -3516,7 +3516,7 @@ class="zplmr7m-">x and puts it into class="zplmr7m-">y

/ ← 1/x(i). +src=

psb_geinv(x, y, desc_a, info, [flag) diff --git a/docs/html/userhtmlse6.html b/docs/html/userhtmlse6.html index c26876b8..f81690a7 100644 --- a/docs/html/userhtmlse6.html +++ b/docs/html/userhtmlse6.html @@ -1286,9 +1286,9 @@ class="pplb7t-x-x-120">Notes class="enumerate" id="x12-85006x3">

Providing a good estimate for the number of nonzeroes nnz in the - assembled matrix may substantially improve performance in the matrix - build phase, as it will reduce or eliminate the need for (potentially - multiple) data reallocations; + assembled matrix may improve performance in the matrix build phase, + as it will reduce or eliminate the need for (potentially multiple) data + reallocations;

  • @@ -1621,7 +1621,7 @@ class="zplmr7y-">- 1 should be one of the local indices, but are

  • Coefficients from different rows may also be mixed up freely in a single - call, according to the application needs; + call (in COO format), according to the application needs;

  • @@ -2673,7 +2673,7 @@ class="newline" />An integer value; 0 means no error has been detected.6.17 psb_glob_to_loc — Global to local indices convertion + id="x12-950006.17">psb_glob_to_loc — Global to local indices conversion @@ -2707,7 +2707,8 @@ class="newline" />Type: required
    Intent: in, inout.
    Specified as: a rank one integer array.
    Specified as: a rank one integer array of global indices, i.e. psb_lpk_.

    @@ -2790,8 +2791,11 @@ class="description">

    If y is present, then y is overwritten with the translated integer indices, - and x is left unchanged. Scope: x is left unchanged; since y contains local indices it should use + psb_ipk_. Scope: global
    Type: optional
    out.
    An integer value; 0 means no error has been detected.

    Notes -

      -
    1. +
        +

      1. If an input index is out of range, then the corresponding output index is set to a negative number;

        2. @@ -2858,7 +2862,10 @@ class="description"> x
    -

    An integer vector of indices to be converted.

    An integer vector of indices to be converted; if y is present, they are local + indices, i.e. psb_ipk_
    Scope: local
    Type: in, inout.
    Specified as: a rank one integer array.

    -

    +

    desc_a

    -

    the communication descriptor.

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

    -

    +

    iact

    -

    specifies action to be taken in case of range errors. Scope:

    specifies action to be taken in case of range errors. Scope: global
    Type: optional
    Ignore, Warning or Abort, default Ignore.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    x

    -

    If y is not present, then x is overwritten with the translated integer - indices. Scope:

    If y is not present, then x is overwritten with the translated integer global + indices, i.e. psb_lpk_ Scope: global
    Type: required
    Intent: inout.
    Specified as: a rank one integer array.

    -

    +

    y

    -

    If y is not present, then y is overwritten with the translated integer - indices, and

    If y not present, then y is overwritten with the translated global indices + i.e. psb_lpk_, and x is left unchanged. Scope: global
    Type: Intent: out.
    Specified as: a rank one integer array.

    -

    +

    info

    -

    Error code.

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

    call psb_is_owned(x, desc_a) -

    -

    +

    +

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    x

    -

    Integer index.

    Integer index.
    Scope: local
    Type: in.
    Specified as: a scalar integer.

    -

    +

    desc_a

    -

    the communication descriptor.

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

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    Function value

    -

    A logical mask which is true if

    A logical mask which is true if x is owned by the current process Scope: local
    required
    Intent: out.

    -

    Notes

    1. -

      This routine returns a

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

    @@ -3055,26 +3064,26 @@ class="cmtt-10">.true. value for an index that is strictly 
     call psb_owned_index(y, x, desc_a, info)
    -

    -

    +

    +

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    x

    -

    Integer indices.

    Integer indices.
    Scope: local
    Type: in, inout.
    Specified as: a scalar or a rank one integer array.

    -

    +

    desc_a

    -

    the communication descriptor.

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

    -

    +

    iact

    -

    specifies action to be taken in case of range errors. Scope:

    specifies action to be taken in case of range errors. Scope: global
    Type: optional
    Ignore, Warning or Abort, default Ignore.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    y

    -

    A logical mask which is true for all corresponding entries of

    A logical mask which is true for all corresponding entries of x that are owned by the current process Scope: local
    Intent: out.
    Specified as: a scalar or rank one logical array.

    -

    +

    info

    -

    Error code.

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

    -

    Notes

    1. -

      This routine returns a

      This routine returns a .true. value for those indices that are strictly owned by the current process, excluding the halo indices

    @@ -3173,26 +3182,26 @@ class="cmtt-10">.true. value for those indices that ar 
     call psb_is_local(x, desc_a)
    -

    -

    +

    +

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    x

    -

    Integer index.

    Integer index.
    Scope: local
    Type: in.
    Specified as: a scalar integer.

    -

    +

    desc_a

    -

    the communication descriptor.

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

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    Function value

    -

    A logical mask which is true if

    A logical mask which is true if x is local to the current process Scope: local
    required
    Intent: out.

    -

    Notes

    1. -

      This routine returns a

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

    @@ -3262,26 +3271,26 @@ class="cmtt-10">.true. value for an index that is local to 
     call psb_local_index(y, x, desc_a, info)
    -

    -

    +

    +

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    x

    -

    Integer indices.

    Integer indices.
    Scope: local
    Type: in, inout.
    Specified as: a scalar or a rank one integer array.

    -

    +

    desc_a

    -

    the communication descriptor.

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

    -

    +

    iact

    -

    specifies action to be taken in case of range errors. Scope:

    specifies action to be taken in case of range errors. Scope: global
    Type: optional
    Ignore, Warning or Abort, default Ignore.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    y

    -

    A logical mask which is true for all corresponding entries of

    A logical mask which is true for all corresponding entries of x that are local to the current process Scope: local
    Intent: out.
    Specified as: a scalar or rank one logical array.

    -

    +

    info

    -

    Error code.

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

    -

    Notes

    1. -

      This routine returns a

      This routine returns a .true. value for those indices that are local to the current process, including the halo indices.

    @@ -3380,26 +3389,26 @@ class="cmtt-10">.true. value for those indices that are loc 
     call psb_get_boundary(bndel, desc, info)
    -

    -

    +

    +

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    desc

    -

    the communication descriptor.

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

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    bndel

    -

    The list of boundary elements on the calling process, in local numbering.

    The list of boundary elements on the calling process, in local numbering.
    Scope: local
    Type: Specified as: a rank one array with the ALLOCATABLE attribute, integer.

    -

    +

    info

    -

    Error code.

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

    -

    Notes

    1. -

      If there are no boundary elements (i.e., if the local part of the connectivity +

      If there are no boundary elements (i.e., if the local part of the connectivity graph is self-contained) the output vector is set to the “not allocated” state.

    2. -

      Otherwise the size of

      Otherwise the size of bndel will be exactly equal to the number of boundary elements.

    @@ -3474,26 +3483,26 @@ class="cmtt-10">bndel will be exactly equal to the nu 
     call psb_get_overlap(ovrel, desc, info)
    -

    -

    +

    +

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    desc

    -

    the communication descriptor.

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

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    ovrel

    -

    The list of overlap elements on the calling process, in local numbering.

    The list of overlap elements on the calling process, in local numbering.
    Scope: local
    Type: Specified as: a rank one array with the ALLOCATABLE attribute, integer.

    -

    +

    info

    -

    Error code.

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

    -

    Notes

    1. -

      If there are no overlap elements the output vector is set to the “not +

      If there are no overlap elements the output vector is set to the “not allocated” state.

    2. -

      Otherwise the size of

      Otherwise the size of ovrel will be exactly equal to the number of overlap elements.

    @@ -3568,26 +3577,26 @@ class="cmtt-10">ovrel will be exactly equal to the number o call psb_sp_getrow(row, a, nz, ia, ja, val, info, &               & append, nzin, lrw) -

    -

    +

    +

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    row

    -

    The (first) row to be extracted.

    The (first) row to be extracted.
    Scope:local
    Type:in.
    Specified as: an integer > 0.

    -

    +

    a

    -

    the matrix from which to get rows.

    the matrix from which to get rows.
    Scope:local
    Type:psb_Tspmat_type.

    -

    +

    append

    -

    Whether to append or overwrite existing output.

    Whether to append or overwrite existing output.
    Scope:local
    Type:Specified as: a logical value default: false (overwrite).

    -

    +

    nzin

    -

    Input size to be appended to.

    Input size to be appended to.
    Scope:local
    Type:Specified as: an integer > 0. When append is true, specifies how many entries in the output vectors are already filled.

    -

    +

    lrw

    -

    The last row to be extracted.

    The last row to be extracted.
    Scope:local
    Type:Specified as: an integer > 0, default: row.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    nz

    -

    the number of elements returned by this call.

    the number of elements returned by this call.
    Scope:local.
    Type:Intent: out.
    Returned as: an integer scalar.

    -

    +

    ia

    -

    the row indices.

    the row indices.
    Scope:local.
    Type:inout.
    Specified as: an integer array with the ALLOCATABLE attribute.

    -

    +

    ja

    -

    the column indices of the elements to be inserted.

    the column indices of the elements to be inserted.
    Scope:local.
    Type:inout.
    Specified as: an integer array with the ALLOCATABLE attribute.

    -

    +

    val

    -

    the elements to be inserted.

    the elements to be inserted.
    Scope:local.
    Type:inout.
    Specified as: a real array with the ALLOCATABLE attribute.

    -

    +

    info

    -

    Error code.

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

    -

    Notes

    1. -

      The output

      The output nz is always the size of the output generated by the current call; thus, if append=.true., the total output size will be nzin+1:nzin+nz of the

    2. -

      When

      When append=.true. the output arrays are reallocated as necessary;

    3. -

      The row and column indices are returned in the local numbering +

      The row and column indices are returned in the local numbering scheme; if the global numbering is desired, the user may employ the psb_loc_to_glob routine on the output.

    @@ -3770,7 +3779,7 @@ class="cmtt-10">psb_loc_to_glob routine on the output.

    • 6.26 psb_sizeof — Memory occupation

    -

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

    This function computes the memory occupation of a PSBLAS object. @@ -3779,26 +3788,26 @@ isz = psb_sizeof(a) isz = psb_sizeof(desc_a) isz = psb_sizeof(prec) -

    -

    +

    +

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    a

    -

    A sparse matrix

    A sparse matrix A.
    Scope: local
    psb_Tspmat_type.

    -

    +

    desc_a

    -

    Communication descriptor.

    Communication descriptor.
    Scope: local
    Type: psb_desc_type.

    -

    +

    prec

    -

    Scope:

    Scope: local
    Type: required
    _type.

    -

    +

    On Return

    -

    -

    +

    +

    Function value

    -

    The memory occupation of the object specified in the calling sequence, in +

    The memory occupation of the object specified in the calling sequence, in bytes.
    Scope: local
    Returned as: an integer(psb_long_int_k_) number.

    +class="cmtt-10">integer(psb_lpk_) number.

    6.27 Sorting utilities —

    -

    psb_isort — Sorting by the Insertion-sort algorithm -

    psb_msort — Sorting by the Merge-sort algorithm -

    psb_qsort — Sorting by the Quicksort algorithm -

    psb_hsort — Sorting by the Heapsort algorithm @@ -3891,38 +3900,38 @@ call psb_msort(x,ix,dir,flag,reord) call psb_qsort(x,ix,dir,flag,reord) call psb_hsort(x,ix,dir,flag,reord) -

    -

    These serial routines sort a sequence

    +

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

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    x

    -

    The sequence to be sorted.

    The sequence to be sorted.
    Type:required.
    Specified as: an integer, real or complex array of rank 1.

    -

    +

    ix

    -

    A vector of indices.

    A vector of indices.
    Type:optional.
    Specified as: an integer array of (at least) the same size as sort_noreord_x_.

    -

    +

    dir

    -

    The desired ordering.

    The desired ordering.
    Type:optional.
    Specified as: an integer value:

    -

    +

    Integer and real data:

    -

    psb_sort_up_, psb_sort_down_, psb_asort_up_, @@ -3959,11 +3968,11 @@ class="cmtt-10">psb_sort_up_.

    -

    +

    Complex data:

    -

    psb_lsort_up_, psb_lsort_down_, psb_asort_up_, @@ -3971,11 +3980,11 @@ class="cmtt-10">psb_asort_up_, class="cmtt-10">psb_asort_down_; default psb_lsort_up_.

    -

    +

    flag

    -

    Whether to keep the original values in

    Whether to keep the original values in IX.
    Type:optional.
    psb_sort_keep_idx_; default psb_sort_ovw_idx_.

    -

    +

    reord

    -

    Whether to reorder the input vector

    Whether to reorder the input vector x or just return IX for further usage.
    psb_sort_noreord_x_; default psb_sort_reord_x_.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    x

    -

    The sequence of values; if

    The sequence of values; if reord=psb_sort_reord_x_ it will be in the chosen ordering.
    Type:required.
    Specified as: an integer, real or complex array of rank 1.

    -

    +

    ix

    -

    A vector of indices.

    A vector of indices.
    Type: Optional
    An integer array of rank 1, whose x in the original sequence.

    -

    Notes

    1. -

      For integer or real data the sorting can be performed in the up/down +

      For integer or real data the sorting can be performed in the up/down direction, on the natural or absolute values;

    2. -

      For complex data the sorting can be done in a lexicographic order (i.e.: +

      For complex data the sorting can be done in a lexicographic order (i.e.: sort on the real part with ties broken according to the imaginary part) or on the absolute values;

    3. -

      The routines return the items in the chosen ordering; the output +

      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 insertion-sort or merge-sort algorithms ties are preserved in the same relative order as they had in the original sequence, @@ -4058,7 +4067,7 @@ class="pplb7t-x-x-120">Notes

    4. -

      If

      If reord = psb_ix in this case is flagged as an

    5. -

      If

      If flag = psb_) occupied

    6. -

      If

      If flag = psb_(:) have already been initialized by the user; -

      Three sorting algorithms have a similar

      Three sorting algorithms have a similar O(n log ); of the other three,

      1. -

        The the best case running time for insertion sort is

        The best case running time for insertion sort is Ω(n) while the - average and worst case are ) while the + average and worst case are O(n2); however for very short input +class="zplmr7t-">); moreover, for very short input sequences this is likely to be the fastest method;

      2. -

        The worst case running time +

        The worst case running time for quicksort is O(); the algorithm implemented here follows the

      3. -

        The worst case running time for merge-sort and heap-sort is +

        The worst case running time for merge-sort and heap-sort is O() as the average case;

      4. -

        The merge-sort algorithm is implemented to take advantage of - subsequences that may be already in the desired ordering prior to - the subroutine call; this situation is relatively common when dealing - with groups of indices of sparse matrix entries, thus merge-sort is - the preferred choice when a sorting is needed by other routines in - the library.

      +

      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 routine is needed + for preprocessing matrix data.

    diff --git a/docs/html/userhtmlse7.html b/docs/html/userhtmlse7.html index 575dfb43..64a91804 100644 --- a/docs/html/userhtmlse7.html +++ b/docs/html/userhtmlse7.html @@ -204,7 +204,7 @@ class="newline" />Type: required.
    Intent: out.
    Specified as: an integer value. Returned as: an integer value. -1 ≤ iam Type: required.
    Intent: out.
    Specified as: an integer variable.   +class="newline" />Returned as: an integer variable.  

    Notes

      @@ -333,12 +333,12 @@ class="cmtt-10">MPI_Finalize, class="enumerate" id="x13-109006x3">

      If the user whishes to use multiple communication contexts in the same program, or to enter and exit multiple times into the parallel - environment, this routine may be called to selectively close the - contexts with close=.false., while on the last call it should be called - with close=.true. to shutdown in a clean way the entire parallel - environment.

    + environment, this routine may be called to selectively close the contexts + with close=.false., while on the last instance it should close in a clean + way the entire parallel environment with close=.true. + @@ -350,27 +350,27 @@ class="cmtt-10">close=.true.     to shutdown in a clean wa 
     icomm = psb_get_mpi_comm(ctxt)
    -

    -

    This function returns the MPI communicator associated with a PSBLAS +

    +

    This function returns the MPI communicator associated with a PSBLAS context

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    Function value

    -

    The MPI communicator associated with the PSBLAS virtual parallel +

    The MPI communicator associated with the PSBLAS virtual parallel machine.
    Scope: global.
    required.
    Intent: out.

    -

    Notes The subroutine version psb_get_mpicomm is still available but is deprecated. @@ -414,27 +414,27 @@ deprecated. 

     rank = psb_get_mpi_rank(ctxt, id)
    -

    -

    This function returns the MPI rank of the PSBLAS process

    +

    This function returns the MPI rank of the PSBLAS process id

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    id

    -

    Identifier of a process in the PSBLAS virtual parallel machine.

    Identifier of a process in the PSBLAS virtual parallel machine.
    Scope: local.
    Type: id ≤ np- 1 

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    Funciton value

    -

    The MPI rank associated with the PSBLAS process

    The MPI rank associated with the PSBLAS process id.
    Scope: local.
    required.
    Intent: out.

    -

    Notes The subroutine version psb_get_rank is still available but is deprecated. @@ -498,27 +498,27 @@ class="cmtt-10">psb_get_rank is still available but is depr 

     time = psb_wtime()
    -

    -

    This function returns a wall clock timer. The resolution of the timer is dependent +

    +

    This function returns a wall clock timer. The resolution of the timer is dependent on the underlying parallel environment implementation.

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Exit

    -

    -

    +

    +

    Function value

    -

    the elapsed time in seconds.

    the elapsed time in seconds.
    Returned as: a real(psb_dpk_) variable.

    @@ -532,27 +532,27 @@ class="cmtt-10">real(psb_dpk_) variable. 
     call psb_barrier(ctxt)
    -

    -

    This subroutine acts as an explicit synchronization point for the PSBLAS parallel +

    +

    This subroutine acts as an explicit synchronization point for the PSBLAS parallel virtual machine.

    -

    +

    Type:

    -

    Synchronous. +

    Synchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

     call psb_abort(ctxt)
    -

    -

    This subroutine aborts computation on the parallel virtual machine. +

    +

    This subroutine aborts computation on the parallel virtual machine.

    -

    +

    Type:

    -

    Asynchronous. +

    Asynchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

     call psb_bcast(ctxt, dat [, root, mode, request])
    -

    -

    This subroutine implements a broadcast operation based on the underlying +

    +

    This subroutine implements a broadcast operation based on the underlying communication library.

    -

    +

    Type:

    -

    Synchronous. +

    Synchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    dat

    -

    On the root process, the data to be broadcast.

    On the root process, the data to be broadcast.
    Scope: global.
    Type: Specified as: an integer, real or complex variable, which may a scalar or rank 1 array.  Type, kind, rank and size must agree on all processes.

    -

    +

    root

    -

    Root process holding data to be broadcast.

    Root process holding data to be broadcast.
    Scope: global.
    Type: - 1, default 0  

    -

    +

    mode

    -

    Whether the call is started in non-blocking mode and completed later, or +

    Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
    Scope: global.
    psb_collective_end_. Default: both fields a selected (i.e. require synchronous completion).

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: Intent: inout.
    If mode specifies non-blocking action, then this variable must be present.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    dat

    -

    On all processes other than root, the broadcasted data.

    On all processes other than root, the broadcasted data.
    Scope: global.
    Type: Specified as: an integer, real or complex variable, which may or a rank 1 or 2 array, or a character or logical scalar.  Type, kind, rank and size must agree on all processes.

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: mode specifies non-blocking action, then th -

    Notes

    1. -

      The

      The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

    2. -

      The

      The mode argument can be built with the bitwise IOR() operator; in the following example, the argument is forcing immediate completion, hence the @@ -768,27 +768,27 @@ class="cmtt-10">IOR() operator; in the class="cmtt-10">request argument needs not be specified:

      -

      +

         call psb_bcast(ctxt,dat,mode=ior(psb_collective_start_,psb_collective_end_))
      -

      +

  • -

    When splitting the operation in two calls, the

    When splitting the operation in two calls, the dat argument must not be accessed between calls:

    -

    +

       call psb_bcast(ctxt,dat,mode=psb_collective_start_,request=bcast_request)
   ....... ! Do not access dat
   call psb_bcast(ctxt,dat,mode=psb_collective_end_, request=bcast_request)
    -

    +

    • @@ -801,27 +801,27 @@ class="pplri7t-">must not be 
     call psb_sum(ctxt, dat [, root, mode, request])
    -

    -

    This subroutine implements a sum reduction operation based on the underlying +

    +

    This subroutine implements a sum reduction operation based on the underlying communication library.

    -

    +

    Type:

    -

    Synchronous. +

    Synchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    dat

    -

    The local contribution to the global sum.

    The local contribution to the global sum.
    Scope: global.
    Type: Specified as: an integer, real or complex variable, which may or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.

    -

    +

    root

    -

    Process to hold the final sum, or

    Process to hold the final sum, or -1 to make it available on all processes.
    Scope: global.
    - 1, default -1.  

    -

    +

    mode

    -

    Whether the call is started in non-blocking mode and completed later, or +

    Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
    Scope: global.
    psb_collective_end_. Default: both fields a selected (i.e. require synchronous completion).

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: Intent: inout.
    If mode specifies non-blocking action, then this variable must be present.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    dat

    -

    On destination process(es), the result of the sum operation.

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

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: mode specifies non-blocking action, then th -

    Notes

    1. -

      The

      The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

    2. -

      The

      The mode argument can be built with the bitwise IOR() operator; in the following example, the argument is forcing immediate completion, hence the @@ -961,27 +961,27 @@ class="cmtt-10">IOR() operator; in the class="cmtt-10">request argument needs not be specified:

      -

      +

         call psb_sum(ctxt,dat,mode=ior(psb_collective_start_,psb_collective_end_))
      -

      +

  • -

    When splitting the operation in two calls, the

    When splitting the operation in two calls, the dat argument must not be accessed between calls:

    -

    +

       call psb_sum(ctxt,dat,mode=psb_collective_start_,request=sum_request)
   ....... ! Do not access dat
   call psb_sum(ctxt,dat,mode=psb_collective_end_,request=sum_request)
    -

    +

    • @@ -994,27 +994,27 @@ class="pplri7t-">must not be 
     call psb_max(ctxt, dat [, root, mode, request])
    -

    -

    This subroutine implements a maximum valuereduction operation based on the +

    +

    This subroutine implements a maximum valuereduction operation based on the underlying communication library.

    -

    +

    Type:

    -

    Synchronous. +

    Synchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    dat

    -

    The local contribution to the global maximum.

    The local contribution to the global maximum.
    Scope: local.
    Type: inout.
    Specified as: an integer or real variable, which may be a scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.

    -

    +

    root

    -

    Process to hold the final maximum, or

    Process to hold the final maximum, or -1 to make it available on all processes.
    Scope:

    -

    +

    mode

    -

    Whether the call is started in non-blocking mode and completed later, or +

    Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
    Scope: global.
    psb_collective_end_. Default: both fields a selected (i.e. require synchronous completion).

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: Intent: inout.
    If mode specifies non-blocking action, then this variable must be present.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    dat

    -

    On destination process(es), the result of the maximum operation.

    On destination process(es), the result of the maximum operation.
    Scope: global.
    Type: 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

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: mode specifies non-blocking action, then th -

    Notes

    1. -

      The

      The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

    2. -

      The

      The mode argument can be built with the bitwise IOR() operator; in the following example, the argument is forcing immediate completion, hence the @@ -1154,27 +1154,27 @@ class="cmtt-10">IOR() operator; in the class="cmtt-10">request argument needs not be specified:

      -

      +

         call psb_max(ctxt,dat,mode=ior(psb_collective_start_,psb_collective_end_))
      -

      +

    3. -

      When splitting the operation in two calls, the

      When splitting the operation in two calls, the dat argument must not be accessed between calls:

      -

      +

         call psb_max(ctxt,dat,mode=psb_collective_start_,request=max_request)
   ....... ! Do not access dat
   call psb_max(ctxt,dat,mode=psb_collective_end_,request=max_request)
      -

      +

    @@ -1187,27 +1187,27 @@ class="pplri7t-">must not be 
     call psb_min(ctxt, dat [, root, mode, request])
    -

    -

    This subroutine implements a minimum value reduction operation based on the +

    +

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

    -

    +

    Type:

    -

    Synchronous. +

    Synchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    dat

    -

    The local contribution to the global minimum.

    The local contribution to the global minimum.
    Scope: local.
    Type: inout.
    Specified as: an integer or real variable, which may be a scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.

    -

    +

    root

    -

    Process to hold the final value, or

    Process to hold the final value, or -1 to make it available on all processes.
    Scope: global.

    -

    +

    mode

    -

    Whether the call is started in non-blocking mode and completed later, or +

    Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
    Scope: global.
    psb_collective_end_. Default: both fields a selected (i.e. require synchronous completion).

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: Intent: inout.
    If mode specifies non-blocking action, then this variable must be present.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    dat

    -

    On destination process(es), the result of the minimum operation.

    On destination process(es), the result of the minimum operation.
    Scope: global.
    Type: Specified as: an integer or real variable, which may be a scal 1 or 2 array.
    Type, kind, rank and size must agree on all processes.

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: mode specifies non-blocking action, then th -

    Notes

    1. -

      The

      The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

    2. -

      The

      The mode argument can be built with the bitwise IOR() operator; in the following example, the argument is forcing immediate completion, hence the @@ -1347,27 +1347,27 @@ class="cmtt-10">IOR() operator; in the class="cmtt-10">request argument needs not be specified:

      -

      +

         call psb_min(ctxt,dat,mode=ior(psb_collective_start_,psb_collective_end_))
      -

      +

    3. -

      When splitting the operation in two calls, the

      When splitting the operation in two calls, the dat argument must not be accessed between calls:

      -

      +

         call psb_min(ctxt,dat,mode=psb_collective_start_,request=min_request)
   ....... ! Do not access dat
   call psb_min(ctxt,dat,mode=psb_collective_end_,request=min_request)
      -

      +

    @@ -1380,27 +1380,27 @@ class="pplri7t-">must not be 
     call psb_amx(ctxt, dat [, root, mode, request])
    -

    -

    This subroutine implements a maximum absolute value reduction operation +

    +

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

    -

    +

    Type:

    -

    Synchronous. +

    Synchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    dat

    -

    The local contribution to the global maximum.

    The local contribution to the global maximum.
    Scope: local.
    Type: Specified as: an integer, real or complex variable, which may or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.

    -

    +

    root

    -

    Process to hold the final value, or

    Process to hold the final value, or -1 to make it available on all processes.
    Scope: global.

    -

    +

    mode

    -

    Whether the call is started in non-blocking mode and completed later, or +

    Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
    Scope: global.
    psb_collective_end_. Default: both fields a selected (i.e. require synchronous completion).

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: Intent: inout.
    If mode specifies non-blocking action, then this variable must be present.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    dat

    -

    On destination process(es), the result of the maximum operation.

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

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: mode specifies non-blocking action, then th -

    Notes

    1. -

      The

      The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

    2. -

      The

      The mode argument can be built with the bitwise IOR() operator; in the following example, the argument is forcing immediate completion, hence the @@ -1541,27 +1541,27 @@ class="cmtt-10">IOR() operator; in the class="cmtt-10">request argument needs not be specified:

      -

      +

         call psb_amx(ctxt,dat,mode=ior(psb_collective_start_,psb_collective_end_))
      -

      +

    3. -

      When splitting the operation in two calls, the

      When splitting the operation in two calls, the dat argument must not be accessed between calls:

      -

      +

         call psb_amx(ctxt,dat,mode=psb_collective_start_,request=amx_request)
   ....... ! Do not access dat
   call psb_amx(ctxt,dat,mode=psb_collective_end_,request=amx_request)
      -

      +

    @@ -1574,27 +1574,27 @@ class="pplri7t-">must not be 
     call psb_amn(ctxt, dat [, root, mode, request])
    -

    -

    This subroutine implements a minimum absolute value reduction operation +

    +

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

    -

    +

    Type:

    -

    Synchronous. +

    Synchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    dat

    -

    The local contribution to the global minimum.

    The local contribution to the global minimum.
    Scope: local.
    Type: Specified as: an integer, real or complex variable, which may or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.

    -

    +

    root

    -

    Process to hold the final value, or

    Process to hold the final value, or -1 to make it available on all processes.
    Scope: global.

    -

    +

    mode

    -

    Whether the call is started in non-blocking mode and completed later, or +

    Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
    Scope: global.
    psb_collective_end_. Default: both fields a selected (i.e. require synchronous completion).

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: Intent: inout.
    If mode specifies non-blocking action, then this variable must be present.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    dat

    -

    On destination process(es), the result of the minimum operation.

    On destination process(es), the result of the minimum operation.
    Scope: global.
    Type: Specified as: an integer, real or complex variable, which may or a rank 1 or 2 array.
    Type, kind, rank and size must agree on all processes.

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: mode specifies non-blocking action, then th -

    Notes

    1. -

      The

      The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

    2. -

      The

      The mode argument can be built with the bitwise IOR() operator; in the following example, the argument is forcing immediate completion, hence the @@ -1735,27 +1735,27 @@ class="cmtt-10">IOR() operator; in the class="cmtt-10">request argument needs not be specified:

      -

      +

         call psb_amn(ctxt,dat,mode=ior(psb_collective_start_,psb_collective_end_))
      -

      +

    3. -

      When splitting the operation in two calls, the

      When splitting the operation in two calls, the dat argument must not be accessed between calls:

      -

      +

         call psb_amn(ctxt,dat,mode=psb_collective_start_,request=amn_request)
   ....... ! Do not access dat
   call psb_amn(ctxt,dat,mode=psb_collective_end_,request=amn_request)
      -

      +

    @@ -1768,27 +1768,27 @@ class="pplri7t-">must not be 
     call psb_nrm2(ctxt, dat [, root, mode, request])
    -

    -

    This subroutine implements a 2-norm value reduction operation based on the +

    +

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

    -

    +

    Type:

    -

    Synchronous. +

    Synchronous.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    dat

    -

    The local contribution to the global minimum.

    The local contribution to the global minimum.
    Scope: local.
    Type: 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

    -

    Process to hold the final value, or

    Process to hold the final value, or -1 to make it available on all processes.
    Scope: global.

    -

    +

    mode

    -

    Whether the call is started in non-blocking mode and completed later, or +

    Whether the call is started in non-blocking mode and completed later, or is executed synchronously.
    Scope: global.
    psb_collective_end_. Default: both fields a selected (i.e. require synchronous completion).

    -

    +

    request

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: Intent: inout.
    If mode specifies non-blocking action, then this variable must be present.

    -

    +

    -

    +

    On Return

    -

    -

    +

    +

    dat

    -

    On destination process(es), the result of the 2-norm reduction.

    On destination process(es), the result of the 2-norm reduction.
    Scope: global.
    Type: 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

    -

    A request variable to check for operation completion.

    A request variable to check for operation completion.
    Scope: local.
    Type: mode specifies non-blocking action, then th -

    Notes

    1. -

      This reduction is appropriate to compute the results of multiple (local) +

      This reduction is appropriate to compute the results of multiple (local) NRM2 operations at the same time.

    2. -

      Denoting by

      Denoting by dati the value of the variable dat on process -

      with care taken to avoid unnecessary overflow. +

      with care taken to avoid unnecessary overflow.

    3. -

      The

      The dat argument is both input and output, and its value may be changed even on processes different from the final result destination.

    4. -

      The

      The mode argument can be built with the bitwise IOR() operator; in the following example, the argument is forcing immediate completion, hence the @@ -1949,15 +1949,15 @@ class="cmtt-10">IOR() operator; in the class="cmtt-10">request argument needs not be specified:

      -

      +

         call psb_nrm2(ctxt,dat,mode=ior(psb_collective_start_,psb_collective_end_))
      -

      +

    5. -

      When splitting the operation in two calls, the

      When splitting the operation in two calls, the dat argument must not be accessed between calls: @@ -1966,13 +1966,13 @@ class="pplri7t-">must not be

      -

      +

         call psb_nrm2(ctxt,dat,mode=psb_collective_start_,request=nrm2_request)
   ....... ! Do not access dat
   call psb_nrm2(ctxt,dat,mode=psb_collective_end_,request=nrm2_request)
      -

      +

    @@ -1985,26 +1985,26 @@ class="pplri7t-">must not be 
     call psb_snd(ctxt, dat, dst, m)
    -

    -

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

    +

    This subroutine sends a packet of data to a destination.

    -

    +

    Type:

    -

    Synchronous: see usage notes. +

    Synchronous: see usage notes.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    dat

    -

    The data to be sent.

    The data to be sent.
    Scope: local.
    Type: Specified as: an integer, real or complex variable, which may class="zplmr7m-">m is not specified, size must agree as well.

    -

    +

    dst

    -

    Destination process.

    Destination process.
    Scope: global.
    Type:

    -

    +

    m

    -

    Number of rows.

    Number of rows.
    Scope: global.
    Type: (dat, 1); must have the same value on sending and receiving processes.

    -

    +

    -

    +

    On Return

    -

    -

    +

    Notes

    1. -

      This subroutine implies a synchronization, but only between the calling +

      This subroutine implies a synchronization, but only between the calling process and the destination process dst.

    @@ -2107,26 +2107,26 @@ class="zplmr7m-">dst. 
     call psb_rcv(ctxt, dat, src, m)
    -

    -

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

    +

    This subroutine receives a packet of data to a destination.

    -

    +

    Type:

    -

    Synchronous: see usage notes. +

    Synchronous: see usage notes.

    -

    +

    On Entry

    -

    -

    +

    +

    ctxt

    -

    the communication context identifying the virtual parallel machine.

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

    -

    +

    src

    -

    Source process.

    Source process.
    Scope: global.
    Type: np- 1.

    -

    +

    m

    -

    Number of rows.

    Number of rows.
    Scope: global.
    Type: ); must have the same -

    +

    -

    +

    On Return

    -

    -

    +

    +

    dat

    -

    The data to be received.

    The data to be received.
    Scope: local.
    Type: Specified as: an integer, real or complex variable, which may rank must agree on sender and receiver process; if m is not specified, size must agree as well.

    -

    Notes

    1. -

      This subroutine implies a synchronization, but only between the calling +

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

    diff --git a/docs/html/userhtmlse8.html b/docs/html/userhtmlse8.html index 029136a8..6094efde 100644 --- a/docs/html/userhtmlse8.html +++ b/docs/html/userhtmlse8.html @@ -18,10 +18,10 @@ href="userhtmlse5.html#tailuserhtmlse8.html">tail] [up]

    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 +

    The PSBLAS library error handling policy has been defined at the time version 2.0 +was written. The idea behind the design of 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 +error message has been generated. Every routine in the PSBLAS 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 @@ -38,16 +38,16 @@ execution.

    Figure 5 shows the layout of a generic psb_foo routine with respect to the -PSBLAS-2.0 error handling policy. It is possible to see how, whenever an error -condition is detected, the info variable is set to the corresponding error code which -is, then, pushed on top of the stack by means of the psb_errpush. An error condition -may be directly detected inside a routine or indirectly checking the error code -returned returned by a called routine. Whenever an error is encountered, after it has -been pushed on stack, the program execution skips to a point where the error -condition is handled; the error condition is handled either by returning control to the -caller routine or by calling the info variable is set to the corresponding error code which is, then, +pushed on top of the stack by means of the psb_errpush. An error condition may be +directly detected inside a routine or indirectly checking the error code returned +returned by a called routine. Whenever an error is encountered, after it has been +pushed on stack, the program execution skips to a point where the error condition is +handled; the error condition is handled either by returning control to the caller +routine or by calling the psb\_error routine which prints the content of the error stack and aborts the program execution, according to the choice made by the user with

    Figure 6 reports a sample error message generated by the PSBLAS-2.0 -library. This error has been generated by the fact that the user has chosen the -invalid “FOO” storage format to represent the sparse matrix. From this -error message it is possible to see that the error has been detected inside -the psb_cest subroutine called by psb_spasb ... by process 0 (i.e. the root -process). +href="#x14-124026r6">6 reports a sample error message generated by the PSBLAS library. This +error has been generated by the fact that the user has chosen the invalid “FOO” +storage format to represent the sparse matrix. From this error message it is possible +to see that the error has been detected inside the psb_cest subroutine called by +psb_spasb ... by process 0 (i.e. the root process). @@ -331,8 +330,8 @@ Aborting...


    Listing 6: A sample PSBLAS-3.0 error message. Process 0 detected an error +>Listing 6: A sample PSBLAS error message. Process 0 detected an error condition inside the psb_cest subroutine
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0 0 1 150.705 472.73 Tm [(Our)-254(computational)-254(model)-255(implies)-254(that)-254(the)-254(data)-255(alloc)1(ation)-255(on)-254(the)-254(parallel)-254(dis-)]TJ 0.981 0 0 1 150.705 460.774 Tm [(tributed)-253(memory)-254(machine)-254(is)-253(guided)-254(by)-253(the)-254(str)8(uctur)19(e)-254(of)-253(the)-254(physical)-253(model,)-254(and)]TJ 1 0 0 1 150.705 448.819 Tm [(speci\002cally)-250(by)-250(the)-250(discr)18(etization)-250(mesh)-250(of)-250(the)-250(PDE.)]TJ 1.02 0 0 1 165.649 436.172 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 1 150.705 424.216 Tm [(equation/variable,)-353(and)-332(ther)18(efor)17(e)-331(one)-332(index.)-564(W)91(e)-332(say)-332(that)-332(point)]TJ/F78 9.9626 Tf 1 0 0 1 440.497 424.216 Tm [(i)]TJ 1.02 0 0 1 446.831 424.216 Tm [(depends)]TJ/F84 9.9626 Tf 1.02 0 0 1 482.953 424.216 Tm [(on)]TJ 1.02 0 0 1 150.406 412.261 Tm [(point)]TJ/F78 9.9626 Tf 1 0 0 1 177.509 412.261 Tm [(j)]TJ/F84 9.9626 Tf 1.02 0 0 1 183.194 412.261 Tm [(if)-275(the)-274(equation)-275(for)-274(a)-275(variable)-275(associate)1(d)-275(with)]TJ/F78 9.9626 Tf 1 0 0 1 386.696 412.261 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 392.451 412.261 Tm [(contains)-275(a)-274(term)-275(in)]TJ/F78 9.9626 Tf 1 0 0 1 476.753 412.261 Tm [(j)]TJ/F84 9.9626 Tf 1.02 0 0 1 479.647 412.261 Tm [(,)-282(or)]TJ 1.02 0 0 1 150.705 400.306 Tm [(equivalently)-262(if)]TJ/F78 9.9626 Tf 1 0 0 1 218.767 400.306 Tm [(a)]TJ/F78 7.5716 Tf 4.589 -1.96 Td [(i)-67(j)]TJ/F190 10.3811 Tf 8.519 1.96 Td [(6)]TJ/F192 10.3811 Tf 0.249 0 Td [(=)]TJ/F84 9.9626 Tf 1.02 0 0 1 243.403 400.306 Tm [(0.)-354(After)-262(the)-262(partition)-262(of)-262(the)-262(discr)18(etization)-262(mesh)-262(into)]TJ/F78 9.9626 Tf 1.02 0 0 1 478.378 400.306 Tm [(sub-)]TJ 1.02 0 0 1 150.705 388.351 Tm [(domains)]TJ/F84 9.9626 Tf 1.02 0 0 1 188.452 388.351 Tm [(assigned)-326(to)-325(the)-326(parallel)-325(pr)17(ocesses,)-345(we)-326(classify)-326(the)-325(points)-326(of)-325(a)-326(given)]TJ 1 0 0 1 150.705 376.396 Tm [(sub-domain)-250(as)-250(following.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 251.707 538.064 Tm [(,)-261(even)-258(though)-258(the)-258(r)17(e)1(sulting)-258(memory)-258(bottleneck)-258(would)]TJ 1 0 0 1 150.705 526.109 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 1 150.705 472.73 Tm [(Our)-254(computational)-254(model)-255(implies)-254(that)-254(the)-254(data)-255(alloc)1(ation)-255(on)-254(the)-254(parallel)-254(dis-)]TJ 0.981 0 0 1 150.705 460.774 Tm [(tributed)-253(memory)-254(machine)-254(is)-253(guided)-254(by)-253(the)-254(str)8(uctur)19(e)-254(of)-253(the)-254(physical)-253(model,)-254(and)]TJ 1 0 0 1 150.705 448.819 Tm [(speci\002cally)-250(by)-250(the)-250(discr)18(etization)-250(mesh)-250(of)-250(the)-250(PDE.)]TJ 1.02 0 0 1 165.649 436.172 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 1 150.705 424.216 Tm [(equation/variable,)-353(and)-332(ther)18(efor)17(e)-331(one)-332(index.)-564(W)91(e)-332(say)-332(that)-332(point)]TJ/F78 9.9626 Tf 1 0 0 1 440.497 424.216 Tm [(i)]TJ 1.02 0 0 1 446.831 424.216 Tm [(depends)]TJ/F84 9.9626 Tf 1.02 0 0 1 482.953 424.216 Tm [(on)]TJ 1.02 0 0 1 150.406 412.261 Tm [(point)]TJ/F78 9.9626 Tf 1 0 0 1 177.509 412.261 Tm [(j)]TJ/F84 9.9626 Tf 1.02 0 0 1 183.194 412.261 Tm [(if)-275(the)-274(equation)-275(for)-274(a)-275(variable)-275(associate)1(d)-275(with)]TJ/F78 9.9626 Tf 1 0 0 1 386.696 412.261 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 392.451 412.261 Tm [(contains)-275(a)-274(term)-275(in)]TJ/F78 9.9626 Tf 1 0 0 1 476.753 412.261 Tm [(j)]TJ/F84 9.9626 Tf 1.02 0 0 1 479.647 412.261 Tm [(,)-282(or)]TJ 1.02 0 0 1 150.705 400.306 Tm [(equivalently)-262(if)]TJ/F78 9.9626 Tf 1 0 0 1 218.767 400.306 Tm [(a)]TJ/F78 7.5716 Tf 4.589 -1.96 Td [(i)-67(j)]TJ/F195 10.3811 Tf 8.519 1.96 Td [(6)]TJ/F197 10.3811 Tf 0.249 0 Td [(=)]TJ/F84 9.9626 Tf 1.02 0 0 1 243.403 400.306 Tm [(0.)-354(After)-262(the)-262(partition)-262(of)-262(the)-262(discr)18(etization)-262(mesh)-262(into)]TJ/F78 9.9626 Tf 1.02 0 0 1 478.378 400.306 Tm [(sub-)]TJ 1.02 0 0 1 150.705 388.351 Tm [(domains)]TJ/F84 9.9626 Tf 1.02 0 0 1 188.452 388.351 Tm [(assigned)-326(to)-325(the)-326(parallel)-325(pr)17(ocesses,)-345(we)-326(classify)-326(the)-325(points)-326(of)-325(a)-326(given)]TJ 1 0 0 1 150.705 376.396 Tm [(sub-domain)-250(as)-250(following.)]TJ 0 g 0 G /F75 9.9626 Tf 0 -22.003 Td [(Internal.)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 194.311 354.393 Tm [(An)-313(internal)-313(point)-312(of)-313(a)-313(given)-313(domain)]TJ/F78 9.9626 Tf 1.02 0 0 1 363.064 354.393 Tm [(depends)]TJ/F84 9.9626 Tf 1.02 0 0 1 398.994 354.393 Tm [(only)-313(on)-313(points)-312(of)-313(the)]TJ 1.02 0 0 1 175.611 342.438 Tm [(same)-387(domain.)-729(If)-387(all)-387(points)-387(of)-386(a)-387(domain)-387(ar)17(e)-386(assigned)-387(to)-387(one)-387(pr)18(ocess,)]TJ 0.991 0 0 1 175.611 330.483 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 1 175.611 318.527 Tm [(associated)-369(with)-368(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 1 175.611 306.572 Tm [(domains)-250(and)-250(no)-250(communications.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 194.311 354.393 Tm [(An)-293(internal)-294(point)-293(of)-294(a)-293(given)-293(sub-domain)]TJ/F78 9.9626 Tf 1.02 0 0 1 381.125 354.393 Tm [(depends)]TJ/F84 9.9626 Tf 1.02 0 0 1 416.858 354.393 Tm [(only)-293(on)-294(points)-293(of)]TJ 1.02 0 0 1 175.611 342.438 Tm [(the)-259(same)-259(sub-domain.)-346(If)-259(all)-259(point)1(s)-259(of)-259(a)-259(sub-domain)-259(ar)17(e)-259(assigned)-259(to)-259(one)]TJ 1.018 0 0 1 175.313 330.483 Tm [(pr)18(ocess,)-246(then)-246(a)-245(computational)-246(step)-245(\050e.g.,)-246(a)-246(matrix-vector)-245(pr)18(oduct\051)-246(of)-246(the)]TJ 0.994 0 0 1 175.611 318.527 Tm [(equations)-250(associated)-251(with)-250(the)-251(internal)-250(points)-251(r)18(equir)18(es)-250(no)-250(data)-251(items)-250(fr)18(om)]TJ 1 0 0 1 175.611 306.572 Tm [(other)-250(sub-domains)-250(and)-250(no)-250(communications.)]TJ 0 g 0 G /F75 9.9626 Tf -24.906 -22.695 Td [(Boundary)92(.)]TJ 0 g 0 G -/F84 9.9626 Tf 0.98 0 0 1 201.713 283.877 Tm [(A)-237(point)-238(of)-237(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 1 420.258 283.877 Tm [(depends)]TJ/F84 9.9626 Tf 0.98 0 0 1 454.042 283.877 Tm [(on)-237(points)]TJ 1 0 0 1 175.611 271.922 Tm [(belonging)-250(to)-250(other)-250(domains.)]TJ +/F84 9.9626 Tf 1.013 0 0 1 201.713 283.877 Tm [(A)-246(point)-247(of)-246(a)-246(given)-247(sub-domain)-246(is)-246(a)-247(boundary)-246(point)-246(if)-247(i)1(t)]TJ/F78 9.9626 Tf 1.013 0 0 1 448.019 283.877 Tm [(depends)]TJ/F84 9.9626 Tf 1.013 0 0 1 483.032 283.877 Tm [(on)]TJ 1 0 0 1 175.313 271.922 Tm [(points)-250(belonging)-250(to)-250(other)-250(sub-domains.)]TJ 0 g 0 G -/F75 9.9626 Tf -24.906 -22.695 Td [(Halo.)]TJ +/F75 9.9626 Tf -24.608 -22.695 Td [(Halo.)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 179.925 249.227 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 1 175.611 237.271 Tm [(main)-248(such)-247(that)-247(ther)17(e)-247(is)-248(a)-247(boundary)-248(point)-247(which)]TJ/F78 9.9626 Tf 1.009 0 0 1 388.252 237.271 Tm [(depends)]TJ/F84 9.9626 Tf 1.009 0 0 1 423.138 237.271 Tm [(on)-247(it.)-308(Whenever)]TJ 1.02 0 0 1 175.313 225.316 Tm [(performing)-297(a)-297(computational)-297(step,)-311(such)-297(as)-297(a)-297(matrix-vector)-297(pr)17(oduct,)-310(the)]TJ 1.012 0 0 1 175.333 213.361 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 1 175.611 201.406 Tm [(boundary)-248(point)-248(of)-248(a)-247(given)-248(domain)-248(is)-248(usually)-248(a)-248(halo)-247(point)-248(for)-248(some)-248(other)]TJ 0.999 0 0 1 175.611 189.451 Tm [(domain)]TJ +/F84 9.9626 Tf 0.989 0 0 1 179.925 249.227 Tm [(A)-252(halo)-252(point)-253(f)1(or)-253(a)-252(given)-252(sub-domain)-252(is)-252(a)-253(poi)1(nt)-253(belonging)-252(to)-252(another)-252(sub-)]TJ 0.98 0 0 1 175.611 237.271 Tm [(domain)-228(such)-227(that)-228(ther)18(e)-228(i)1(s)-228(a)-228(boundary)-228(point)-227(which)]TJ/F78 9.9626 Tf 0.98 0 0 1 391.694 237.271 Tm [(depends)]TJ/F84 9.9626 Tf 0.98 0 0 1 425.385 237.271 Tm [(on)-228(it.)-307(Whenever)]TJ 1.02 0 0 1 175.313 225.316 Tm [(performing)-297(a)-297(computational)-297(step,)-311(such)-297(as)-297(a)-297(matrix-vector)-297(pr)17(oduct,)-310(the)]TJ 0.989 0 0 1 175.333 213.361 Tm [(values)-252(associated)-253(with)-252(halo)-253(points)-252(ar)18(e)-252(r)18(equested)-253(fr)19(om)-253(other)-252(sub-domains.)]TJ 0.993 0 0 1 175.223 201.406 Tm [(A)-251(boundary)-251(point)-251(of)-251(a)-251(given)-251(sub-domain)-251(is)-251(usually)-251(a)-251(halo)-251(point)-251(for)-251(some)]TJ 1.02 0 0 1 175.611 189.451 Tm [(other)-255(sub-domain)]TJ 0 0 1 rg 0 0 1 RG -/F84 7.5716 Tf 1 0 0 1 209.58 193.067 Tm [(2)]TJ +/F84 7.5716 Tf 1 0 0 1 255.982 193.067 Tm [(2)]TJ 0 g 0 G -/F84 9.9626 Tf 0.999 0 0 1 213.864 189.451 Tm [(;)-250(ther)18(efor)18(e)-249(the)-249(car)18(dinality)-250(of)-249(the)-250(boundary)-249(points)-249(set)-250(determines)]TJ 1 0 0 1 175.611 177.496 Tm [(the)-250(amount)-250(of)-250(data)-250(sent)-250(to)-250(other)-250(domains.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 260.266 189.451 Tm [(;)-260(ther)17(efor)18(e)-255(the)-255(car)18(dinality)-256(of)-255(the)-255(boundary)-255(points)-255(set)]TJ 1 0 0 1 175.611 177.496 Tm [(determines)-250(the)-250(amount)-250(of)-250(data)-250(sent)-250(to)-250(other)-250(sub-domains.)]TJ 0 g 0 G ET q @@ -4747,9 +4756,9 @@ ET endstream endobj -951 0 obj +952 0 obj << -/Length 5241 +/Length 5249 >> stream 0 g 0 G @@ -4758,7 +4767,7 @@ stream BT /F75 9.9626 Tf 99.895 706.129 Td [(Overlap.)]TJ 0 g 0 G -/F84 9.9626 Tf 1.006 0 0 1 144.059 706.129 Tm [(An)-248(overlap)-248(point)-248(is)-248(a)-248(boundary)-249(point)-248(assigned)-248(to)-248(multiple)-248(domains.)]TJ 0.983 0 0 1 124.413 694.174 Tm [(Any)-254(ope)1(ration)-254(that)-253(involves)-254(an)-253(overlap)-254(point)-253(has)-254(to)-253(be)-254(r)19(eplicated)-254(for)-253(each)]TJ 1 0 0 1 124.802 682.219 Tm [(assignment.)]TJ 0.98 0 0 1 99.895 663.276 Tm [(Overlap)-232(points)-233(do)-232(not)-233(usually)-232(exist)-233(in)-232(the)-233(basic)-232(data)-233(distributions;)-240(however)-232(they)]TJ 0.989 0 0 1 99.895 651.321 Tm [(ar)18(e)-251(a)-252(featur)19(e)-252(of)-251(Domain)-252(Decomposi)1(tion)-252(Schwarz)-251(pr)18(econditioners)-251(which)-252(ar)18(e)-251(the)]TJ 1 0 0 1 99.895 639.365 Tm [(subject)-250(of)-250(r)18(elated)-250(r)18(esear)18(ch)-250(work)-250([)]TJ +/F84 9.9626 Tf 1.02 0 0 1 144.059 706.129 Tm [(An)-423(overlap)-424(point)-423(is)-423(a)-424(boundary)-423(point)-423(assigned)-424(to)-423(multiple)-423(sub-)]TJ 0.98 0 0 1 124.802 694.174 Tm [(domains.)-298(Any)-199(operation)-200(that)-200(inv)1(olves)-200(an)-200(overlap)-199(point)-200(has)-199(to)-200(be)-200(r)19(eplicated)]TJ 1 0 0 1 124.802 682.219 Tm [(for)-250(each)-250(assignment.)]TJ 0.98 0 0 1 99.895 663.276 Tm [(Overlap)-232(points)-233(do)-232(not)-233(usually)-232(exist)-233(in)-232(the)-233(basic)-232(data)-233(distributions;)-240(however)-232(they)]TJ 0.989 0 0 1 99.895 651.321 Tm [(ar)18(e)-251(a)-252(featur)19(e)-252(of)-251(Domain)-252(Decomposi)1(tion)-252(Schwarz)-251(pr)18(econditioners)-251(which)-252(ar)18(e)-251(the)]TJ 1 0 0 1 99.895 639.365 Tm [(subject)-250(of)-250(r)18(elated)-250(r)18(esear)18(ch)-250(work)-250([)]TJ 1 0 0 rg 1 0 0 RG [(4)]TJ 0 g 0 G @@ -4766,7 +4775,7 @@ BT 1 0 0 rg 1 0 0 RG [-250(3)]TJ 0 g 0 G - [(].)]TJ 0.995 0 0 1 114.839 627.41 Tm [(W)92(e)-251(denote)-251(the)-251(sets)-251(of)-251(internal,)-251(boundary)-251(and)-251(halo)-251(points)-251(for)-251(a)-251(given)-251(subdo-)]TJ 1.001 0 0 1 99.895 615.455 Tm [(main)-250(by)]TJ/F190 10.3811 Tf 1 0 0 1 138.553 615.455 Tm [(I)]TJ/F84 9.9626 Tf 1.001 0 0 1 145.084 615.455 Tm [(,)]TJ/F190 10.3811 Tf 1 0 0 1 150.19 615.455 Tm [(B)]TJ/F84 9.9626 Tf 1.001 0 0 1 159.926 615.455 Tm [(and)]TJ/F190 10.3811 Tf 1 0 0 1 179.422 615.455 Tm [(H)]TJ/F84 9.9626 Tf 1.001 0 0 1 188.394 615.455 Tm [(.)-310(Each)-249(subdomain)-249(is)-250(assigned)-249(to)-250(one)-249(pr)18(ocess;)-250(each)-249(pr)18(ocess)]TJ 1.02 0 0 1 99.895 603.5 Tm [(usually)-286(owns)-285(one)-286(subdomain,)-295(although)-286(the)-285(user)-286(may)-286(choose)-285(to)-286(assign)-285(mor)17(e)]TJ 1.02 0 0 1 99.895 591.545 Tm [(than)-257(one)-257(subdomain)-257(to)-257(a)-257(pr)18(ocess.)-340(If)-257(each)-257(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 322.219 591.545 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 327.794 591.545 Tm [(owns)-257(one)-257(subdomain,)-260(the)]TJ 0.983 0 0 1 99.895 579.589 Tm [(number)-255(of)-255(r)19(ows)-255(in)-255(the)-255(local)-255(sparse)-255(matrix)-255(is)]TJ/F190 10.3811 Tf 1 0 0 1 292.255 579.589 Tm [(j)-24(I)]TJ/F78 7.5716 Tf 8.944 -1.96 Td [(i)]TJ/F190 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F192 10.3811 Tf 5.067 0 Td [(+)]TJ/F190 10.3811 Tf 10.258 0 Td [(j)-24(B)]TJ/F78 7.5716 Tf 10.109 -1.96 Td [(i)]TJ/F190 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F84 9.9626 Tf 0.983 0 0 1 335.387 579.589 Tm [(,)-255(and)-255(the)-255(number)-255(of)-254(local)]TJ 0.982 0 0 1 99.895 567.634 Tm [(columns)-254(\050i.e.)-316(those)-254(for)-255(which)-254(ther)18(e)-254(exists)-254(at)-255(least)-254(one)-254(non-zer)18(o)-255(ent)1(ry)-255(in)-254(the)-255(local)]TJ 1 0 0 1 99.895 555.679 Tm [(r)18(ows\051)-250(is)]TJ/F190 10.3811 Tf 37.275 0 Td [(j)-24(I)]TJ/F78 7.5716 Tf 8.944 -1.96 Td [(i)]TJ/F190 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F192 10.3811 Tf 5.065 0 Td [(+)]TJ/F190 10.3811 Tf 10.256 0 Td [(j)-24(B)]TJ/F78 7.5716 Tf 10.109 -1.96 Td [(i)]TJ/F190 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F192 10.3811 Tf 5.065 0 Td [(+)]TJ/F190 10.3811 Tf 10.256 0 Td [(j)-24(H)]TJ/F78 7.5716 Tf 12.052 -1.96 Td [(i)]TJ/F190 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F84 9.9626 Tf 3.004 0 Td [(.)]TJ + [(].)]TJ 0.995 0 0 1 114.839 627.41 Tm [(W)92(e)-251(denote)-251(the)-251(sets)-251(of)-251(internal,)-251(boundary)-251(and)-251(halo)-251(points)-251(for)-251(a)-251(given)-251(subdo-)]TJ 1.001 0 0 1 99.895 615.455 Tm [(main)-250(by)]TJ/F195 10.3811 Tf 1 0 0 1 138.553 615.455 Tm [(I)]TJ/F84 9.9626 Tf 1.001 0 0 1 145.084 615.455 Tm [(,)]TJ/F195 10.3811 Tf 1 0 0 1 150.19 615.455 Tm [(B)]TJ/F84 9.9626 Tf 1.001 0 0 1 159.926 615.455 Tm [(and)]TJ/F195 10.3811 Tf 1 0 0 1 179.422 615.455 Tm [(H)]TJ/F84 9.9626 Tf 1.001 0 0 1 188.394 615.455 Tm [(.)-310(Each)-249(subdomain)-249(is)-250(assigned)-249(to)-250(one)-249(pr)18(ocess;)-250(each)-249(pr)18(ocess)]TJ 1.02 0 0 1 99.895 603.5 Tm [(usually)-286(owns)-285(one)-286(subdomain,)-295(although)-286(the)-285(user)-286(may)-286(choose)-285(to)-286(assign)-285(mor)17(e)]TJ 1.02 0 0 1 99.895 591.545 Tm [(than)-257(one)-257(subdomain)-257(to)-257(a)-257(pr)18(ocess.)-340(If)-257(each)-257(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 322.219 591.545 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 327.794 591.545 Tm [(owns)-257(one)-257(subdomain,)-260(the)]TJ 0.983 0 0 1 99.895 579.589 Tm [(number)-255(of)-255(r)19(ows)-255(in)-255(the)-255(local)-255(sparse)-255(matrix)-255(is)]TJ/F195 10.3811 Tf 1 0 0 1 292.255 579.589 Tm [(j)-24(I)]TJ/F78 7.5716 Tf 8.944 -1.96 Td [(i)]TJ/F195 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F197 10.3811 Tf 5.067 0 Td [(+)]TJ/F195 10.3811 Tf 10.258 0 Td [(j)-24(B)]TJ/F78 7.5716 Tf 10.109 -1.96 Td [(i)]TJ/F195 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F84 9.9626 Tf 0.983 0 0 1 335.387 579.589 Tm [(,)-255(and)-255(the)-255(number)-255(of)-254(local)]TJ 0.982 0 0 1 99.895 567.634 Tm [(columns)-254(\050i.e.)-316(those)-254(for)-255(which)-254(ther)18(e)-254(exists)-254(at)-255(least)-254(one)-254(non-zer)18(o)-255(ent)1(ry)-255(in)-254(the)-255(local)]TJ 1 0 0 1 99.895 555.679 Tm [(r)18(ows\051)-250(is)]TJ/F195 10.3811 Tf 37.275 0 Td [(j)-24(I)]TJ/F78 7.5716 Tf 8.944 -1.96 Td [(i)]TJ/F195 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F197 10.3811 Tf 5.065 0 Td [(+)]TJ/F195 10.3811 Tf 10.256 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[(pr)18(ocess)-250(generates)-250(its)-250(own)-250(data.)]TJ 0.981 0 0 1 165.649 302.17 Tm [(In)-256(principle)-255(ther)18(e)-256(is)-255(no)-256(speci\002c)-255(or)18(der)-256(in)-255(the)-256(calls)-256(to)]TJ/F145 9.9626 Tf 1 0 0 1 386.226 302.17 Tm [(psb_spins)]TJ/F84 9.9626 Tf 0.981 0 0 1 433.299 302.17 Tm [(,)-256(nor)-256(is)-255(ther)18(e)-255(a)]TJ 0.997 0 0 1 150.705 290.215 Tm [(r)18(equir)18(ement)-251(to)-251(build)-251(a)-251(matrix)-251(r)18(ow)-251(in)-251(its)-251(entir)18(ety)-251(befor)18(e)-251(calling)-251(the)-251(r)18(outine;)-251(this)]TJ 1.02 0 0 1 150.705 278.26 Tm [(allows)-288(the)-288(application)-289(p)1(r)17(ogrammer)-288(to)-288(walk)-288(thr)17(ough)-288(the)-288(discr)18(etization)-289(mesh)]TJ 1.02 0 0 1 150.705 266.304 Tm [(element)-265(by)-265(element,)-271(gen)1(erating)-266(the)-265(main)-265(part)-265(of)-265(a)-266(given)-265(matrix)-265(r)18(ow)-265(but)-266(also)]TJ 1 0 0 1 150.705 254.349 Tm [(contributions)-250(to)-250(the)-250(r)18(ows)-250(corr)18(esponding)-250(to)-250(neighbouring)-250(elements.)]TJ 1.02 0 0 1 165.649 242.394 Tm [(Fr)18(om)-284(a)-283(functional)-283(point)-284(of)-283(view)-284(it)-283(is)-283(even)-284(possible)-283(to)-284(execut)1(e)-284(one)-283(call)-284(for)]TJ 0.988 0 0 1 150.705 230.439 Tm [(each)-252(nonzer)18(o)-252(coef)18(\002cient;)-252(however)-252(this)-252(would)-252(have)-252(a)-252(substantial)-252(computational)]TJ 0.98 0 0 1 150.705 218.484 Tm [(over)18(head.)-306(It)-224(is)-225(ther)19(efor)18(e)-224(advisable)-225(to)-224(pack)-225(a)-224(certain)-225(amount)-224(of)-225(data)-224(into)-225(each)-224(call)]TJ 0.988 0 0 1 150.705 206.529 Tm [(to)-253(the)-254(insertion)-253(r)18(outine,)-253(say)-253(touching)-254(on)-253(a)-253(few)-254(tens)-253(of)-253(r)18(ows;)-254(the)-253(best)-253(performng)]TJ 1.009 0 0 1 150.426 194.573 Tm [(value)-247(would)-248(depend)-247(on)-248(both)-247(the)-248(ar)18(chitectur)18(e)-248(of)-247(the)-248(computer)-247(being)-248(used)-247(and)]TJ 1.02 0 0 1 150.705 182.618 Tm [(on)-333(the)-333(pr)18(oblem)-333(str)8(uctur)18(e.)-567(At)-333(the)-333(opposite)-332(extr)17(eme,)-355(it)-332(would)-333(be)-333(possible)-333(to)]TJ 0.996 0 0 1 150.705 170.663 Tm [(generate)-250(the)-251(entir)18(e)-250(part)-251(of)-250(a)-250(coef)18(\002cient)-251(matrix)-250(r)18(esiding)-251(on)-250(a)-250(pr)18(ocess)-251(and)-250(pass)-251(it)]TJ 0.981 0 0 1 150.705 158.708 Tm [(in)-255(a)-255(single)-254(call)-255(to)]TJ/F145 9.9626 Tf 1 0 0 1 225.645 158.708 Tm [(psb_spins)]TJ/F84 9.9626 Tf 0.981 0 0 1 272.718 158.708 Tm [(;)-255(this,)-255(however)76(,)-255(would)-255(entail)-254(a)-255(doubling)-255(of)-255(memory)]TJ 1 0 0 1 150.705 146.753 Tm [(occupation,)-250(and)-250(thus)-250(would)-250(be)-250(almost)-250(always)-250(far)-250(fr)18(om)-250(optimal.)]TJ + 1.02 0 0 1 197.529 368.127 Tm [(Call)-416(one)-415(of)-416(the)-416(it)1(erative)-416(drivers)-416(with)-415(the)-416(method)-416(of)-415(choice,)-458(e.g.)]TJ/F147 9.9626 Tf 1 0 0 1 197.529 356.172 Tm [(psb_krylov)]TJ/F84 9.9626 Tf 54.794 0 Td [(with)]TJ/F147 9.9626 Tf 22.745 0 Td [(bicgstab)]TJ/F84 9.9626 Tf 41.842 0 Td [(.)]TJ 0.98 0 0 1 150.396 338.035 Tm [(The)-247(insertion)-247(r)19(outines)-247(will)-247(be)-247(called)-247(as)-247(many)-247(times)-247(as)-247(needed;)-249(they)-247(only)-247(need)-247(to)]TJ 1.02 0 0 1 150.705 326.08 Tm [(be)-245(called)-245(on)-245(the)-245(data)-245(that)-245(is)-246(actually)-245(allocated)-245(to)-245(the)-245(curr)18(ent)-245(pr)17(ocess,)-245(i.e.)-304(each)]TJ 1 0 0 1 150.406 314.125 Tm [(pr)18(ocess)-250(generates)-250(its)-250(own)-250(data.)]TJ 0.981 0 0 1 165.649 302.17 Tm [(In)-256(principle)-255(ther)18(e)-256(is)-255(no)-256(speci\002c)-255(or)18(der)-256(in)-255(the)-256(calls)-256(to)]TJ/F147 9.9626 Tf 1 0 0 1 386.226 302.17 Tm [(psb_spins)]TJ/F84 9.9626 Tf 0.981 0 0 1 433.299 302.17 Tm [(,)-256(nor)-256(is)-255(ther)18(e)-255(a)]TJ 0.997 0 0 1 150.705 290.215 Tm [(r)18(equir)18(ement)-251(to)-251(build)-251(a)-251(matrix)-251(r)18(ow)-251(in)-251(its)-251(entir)18(ety)-251(befor)18(e)-251(calling)-251(the)-251(r)18(outine;)-251(this)]TJ 1.02 0 0 1 150.705 278.26 Tm [(allows)-288(the)-288(application)-289(p)1(r)17(ogrammer)-288(to)-288(walk)-288(thr)17(ough)-288(the)-288(discr)18(etization)-289(mesh)]TJ 1.02 0 0 1 150.705 266.304 Tm [(element)-265(by)-265(element,)-271(gen)1(erating)-266(the)-265(main)-265(part)-265(of)-265(a)-266(given)-265(matrix)-265(r)18(ow)-265(but)-266(also)]TJ 1 0 0 1 150.705 254.349 Tm [(contributions)-250(to)-250(the)-250(r)18(ows)-250(corr)18(esponding)-250(to)-250(neighbouring)-250(elements.)]TJ 1.02 0 0 1 165.649 242.394 Tm [(Fr)18(om)-284(a)-283(functional)-283(point)-284(of)-283(view)-284(it)-283(is)-283(even)-284(possible)-283(to)-284(execut)1(e)-284(one)-283(call)-284(for)]TJ 0.988 0 0 1 150.705 230.439 Tm [(each)-252(nonzer)18(o)-252(coef)18(\002cient;)-252(however)-252(this)-252(would)-252(have)-252(a)-252(substantial)-252(computational)]TJ 0.98 0 0 1 150.705 218.484 Tm [(over)18(head.)-306(It)-224(is)-225(ther)19(efor)18(e)-224(advisable)-225(to)-224(pack)-225(a)-224(certain)-225(amount)-224(of)-225(data)-224(into)-225(each)-224(call)]TJ 0.988 0 0 1 150.705 206.529 Tm [(to)-253(the)-254(insertion)-253(r)18(outine,)-253(say)-253(touching)-254(on)-253(a)-253(few)-254(tens)-253(of)-253(r)18(ows;)-254(the)-253(best)-253(performng)]TJ 1.009 0 0 1 150.426 194.573 Tm [(value)-247(would)-248(depend)-247(on)-248(both)-247(the)-248(ar)18(chitectur)18(e)-248(of)-247(the)-248(computer)-247(being)-248(used)-247(and)]TJ 1.02 0 0 1 150.705 182.618 Tm [(on)-333(the)-333(pr)18(oblem)-333(str)8(uctur)18(e.)-567(At)-333(the)-333(opposite)-332(extr)17(eme,)-355(it)-332(would)-333(be)-333(possible)-333(to)]TJ 0.996 0 0 1 150.705 170.663 Tm [(generate)-250(the)-251(entir)18(e)-250(part)-251(of)-250(a)-250(coef)18(\002cient)-251(matrix)-250(r)18(esiding)-251(on)-250(a)-250(pr)18(ocess)-251(and)-250(pass)-251(it)]TJ 0.981 0 0 1 150.705 158.708 Tm [(in)-255(a)-255(single)-254(call)-255(to)]TJ/F147 9.9626 Tf 1 0 0 1 225.645 158.708 Tm [(psb_spins)]TJ/F84 9.9626 Tf 0.981 0 0 1 272.718 158.708 Tm [(;)-255(this,)-255(however)76(,)-255(would)-255(entail)-254(a)-255(doubling)-255(of)-255(memory)]TJ 1 0 0 1 150.705 146.753 Tm [(occupation,)-250(and)-250(thus)-250(would)-250(be)-250(almost)-250(always)-250(far)-250(fr)18(om)-250(optimal.)]TJ 0 g 0 G ET q @@ -5772,21 +5781,21 @@ q []0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F84 5.9776 Tf 161.564 132.683 Td [(3)]TJ/F84 7.9701 Tf 0.981 0 0 1 164.804 129.79 Tm [(The)-255(subr)18(outine)-256(sty)1(le)]TJ/F215 7.9701 Tf 1 0 0 1 237.517 129.79 Tm [(psb)]TJ +/F84 5.9776 Tf 161.564 132.683 Td [(3)]TJ/F84 7.9701 Tf 0.981 0 0 1 164.804 129.79 Tm [(The)-255(subr)18(outine)-256(sty)1(le)]TJ/F220 7.9701 Tf 1 0 0 1 237.517 129.79 Tm [(psb)]TJ ET q 1 0 0 1 250.728 129.989 cm []0 d 0 J 0.398 w 0 0 m 2.541 0 l S Q BT -/F215 7.9701 Tf 253.269 129.79 Td [(precinit)]TJ/F84 7.9701 Tf 0.981 0 0 1 289.14 129.79 Tm [(and)]TJ/F215 7.9701 Tf 1 0 0 1 304.374 129.79 Tm [(psb)]TJ +/F220 7.9701 Tf 253.269 129.79 Td [(precinit)]TJ/F84 7.9701 Tf 0.981 0 0 1 289.14 129.79 Tm [(and)]TJ/F220 7.9701 Tf 1 0 0 1 304.374 129.79 Tm [(psb)]TJ ET q 1 0 0 1 317.585 129.989 cm []0 d 0 J 0.398 w 0 0 m 2.541 0 l S Q BT -/F215 7.9701 Tf 320.125 129.79 Td [(precbld)]TJ/F84 7.9701 Tf 0.981 0 0 1 351.762 129.79 Tm [(ar)18(e)-255(still)-256(support)1(ed)-256(for)-255(backwar)18(d)-256(compati)1(-)]TJ 1 0 0 1 150.705 120.326 Tm [(bility)]TJ +/F220 7.9701 Tf 320.125 129.79 Td [(precbld)]TJ/F84 7.9701 Tf 0.981 0 0 1 351.762 129.79 Tm [(ar)18(e)-255(still)-256(support)1(ed)-256(for)-255(backwar)18(d)-256(compati)1(-)]TJ 1 0 0 1 150.705 120.326 Tm [(bility)]TJ 0 g 0 G 0 g 0 G /F84 9.9626 Tf 169.365 -29.888 Td [(8)]TJ @@ -5795,9 +5804,9 @@ ET endstream endobj -1004 0 obj +1005 0 obj << -/Length 7843 +/Length 7839 >> stream 0 g 0 G @@ -5815,27 +5824,27 @@ BT 0 g 0 G -320.16 -19.926 Td [(2.)]TJ 0 g 0 G - [-469(The)-250(set)-250(of)-250(halo)-250(points)-250(must)-250(be)-250(mapped)-250(to)-250(the)-250(set)]TJ/F78 9.9626 Tf 227.977 0 Td [(n)]TJ/F84 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F78 5.9776 Tf 17.537 -1.648 Td [(i)]TJ/F192 10.3811 Tf 4.836 3.142 Td [(+)]TJ/F84 9.9626 Tf 10.131 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F78 9.9626 Tf 19.967 0 Td [(n)]TJ/F84 9.9626 Tf 5.664 -3.83 Td [(col)]TJ/F78 5.9776 Tf 12.795 -1.649 Td [(i)]TJ/F84 9.9626 Tf 2.774 5.479 Td [(;)]TJ 1.016 0 0 1 99.895 613.6 Tm [(but)-246(otherwise)-247(the)-246(mapping)-246(is)-247(arbit)1(rary)109(.)-306(The)-246(user)-247(application)-246(is)-246(r)17(esponsible)-246(to)]TJ 1.009 0 0 1 99.895 601.644 Tm [(ensur)18(e)-247(consistency)-247(of)-246(this)-247(mapping;)-247(some)-247(err)18(ors)-247(may)-246(be)-247(caught)-247(by)-247(the)-246(library)110(,)]TJ 0.994 0 0 1 99.895 589.689 Tm [(but)-253(this)-252(is)-253(not)-252(guaranteed.)-315(The)-253(application)-252(str)8(uctur)18(e)-253(to)-252(support)-253(this)-252(usage)-253(is)-252(as)]TJ 1 0 0 1 99.895 577.734 Tm [(follows:)]TJ + [-469(The)-250(set)-250(of)-250(halo)-250(points)-250(must)-250(be)-250(mapped)-250(to)-250(the)-250(set)]TJ/F78 9.9626 Tf 227.977 0 Td [(n)]TJ/F84 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F78 5.9776 Tf 17.537 -1.648 Td [(i)]TJ/F197 10.3811 Tf 4.836 3.142 Td [(+)]TJ/F84 9.9626 Tf 10.131 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F78 9.9626 Tf 19.967 0 Td [(n)]TJ/F84 9.9626 Tf 5.664 -3.83 Td [(col)]TJ/F78 5.9776 Tf 12.795 -1.649 Td [(i)]TJ/F84 9.9626 Tf 2.774 5.479 Td [(;)]TJ 1.016 0 0 1 99.895 613.6 Tm [(but)-246(otherwise)-247(the)-246(mapping)-246(is)-247(arbit)1(rary)109(.)-306(The)-246(user)-247(application)-246(is)-246(r)17(esponsible)-246(to)]TJ 1.009 0 0 1 99.895 601.644 Tm [(ensur)18(e)-247(consistency)-247(of)-246(this)-247(mapping;)-247(some)-247(err)18(ors)-247(may)-246(be)-247(caught)-247(by)-247(the)-246(library)110(,)]TJ 0.994 0 0 1 99.895 589.689 Tm [(but)-253(this)-252(is)-253(not)-252(guaranteed.)-315(The)-253(application)-252(str)8(uctur)18(e)-253(to)-252(support)-253(this)-252(usage)-253(is)-252(as)]TJ 1 0 0 1 99.895 577.734 Tm [(follows:)]TJ 0 g 0 G 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - 0.98 0 0 1 124.802 557.809 Tm [(Initialize)-194(index)-194(space)-194(with)]TJ/F145 9.9626 Tf 1 0 0 1 238.285 557.809 Tm [(psb_cdall\050ictx,desc,info,vl=vl,lidx=lidx\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 124.503 545.854 Tm [(passing)-205(the)-205(vectors)]TJ/F145 9.9626 Tf 1 0 0 1 208.066 545.854 Tm [(vl\050:\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 236.218 545.854 Tm [(containing)-205(the)-205(set)-205(of)-205(global)-205(indices)-205(owned)-205(by)-205(the)]TJ 1 0 0 1 124.802 533.898 Tm [(curr)18(ent)-250(pr)18(ocess)-250(and)]TJ/F145 9.9626 Tf 89.105 0 Td [(lidx\050:\051)]TJ/F84 9.9626 Tf 39.103 0 Td [(containing)-250(the)-250(corr)18(esponding)-250(local)-250(indices;)]TJ + 0.98 0 0 1 124.802 557.809 Tm [(Initialize)-194(index)-194(space)-194(with)]TJ/F147 9.9626 Tf 1 0 0 1 238.285 557.809 Tm [(psb_cdall\050ictx,desc,info,vl=vl,lidx=lidx\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 124.503 545.854 Tm [(passing)-205(the)-205(vectors)]TJ/F147 9.9626 Tf 1 0 0 1 208.066 545.854 Tm [(vl\050:\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 236.218 545.854 Tm [(containing)-205(the)-205(set)-205(of)-205(global)-205(indices)-205(owned)-205(by)-205(the)]TJ 1 0 0 1 124.802 533.898 Tm [(curr)18(ent)-250(pr)18(ocess)-250(and)]TJ/F147 9.9626 Tf 89.105 0 Td [(lidx\050:\051)]TJ/F84 9.9626 Tf 39.103 0 Td [(containing)-250(the)-250(corr)18(esponding)-250(local)-250(indices;)]TJ 0 g 0 G -140.661 -19.925 Td [(2.)]TJ 0 g 0 G - 0.98 0 0 1 124.413 513.973 Tm [(Add)-241(the)-241(halo)-241(points)]TJ/F145 9.9626 Tf 1 0 0 1 212.672 513.973 Tm [(ja\050:\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 241.177 513.973 Tm [(and)-241(their)-241(associated)-241(local)-241(indices)]TJ/F145 9.9626 Tf 1 0 0 1 384.793 513.973 Tm [(lidx\050:\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 423.758 513.973 Tm [(with)]TJ 1 0 0 1 124.802 502.018 Tm [(a\050some\051)-250(call\050s\051)-250(to)]TJ/F145 9.9626 Tf 77.07 0 Td [(psb_cdins\050nz,ja,desc,info,lidx=lidx\051)]TJ/F84 9.9626 Tf 188.292 0 Td [(;)]TJ + 0.98 0 0 1 124.413 513.973 Tm [(Add)-241(the)-241(halo)-241(points)]TJ/F147 9.9626 Tf 1 0 0 1 212.672 513.973 Tm [(ja\050:\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 241.177 513.973 Tm [(and)-241(their)-241(associated)-241(local)-241(indices)]TJ/F147 9.9626 Tf 1 0 0 1 384.793 513.973 Tm [(lidx\050:\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 423.758 513.973 Tm [(with)]TJ 1 0 0 1 124.802 502.018 Tm [(a\050some\051)-250(call\050s\051)-250(to)]TJ/F147 9.9626 Tf 77.07 0 Td [(psb_cdins\050nz,ja,desc,info,lidx=lidx\051)]TJ/F84 9.9626 Tf 188.292 0 Td [(;)]TJ 0 g 0 G -277.815 -19.925 Td [(3.)]TJ 0 g 0 G - [-461(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F145 9.9626 Tf 143.998 0 Td [(psb_cdasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)]TJ + [-461(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F147 9.9626 Tf 143.998 0 Td [(psb_cdasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G -191.071 -19.926 Td [(4.)]TJ 0 g 0 G - 0.98 0 0 1 124.802 462.167 Tm [(Build)-206(the)-207(sparse)-206(matrices)-207(and)-206(vectors,)-216(optionally)-207(making)-206(use)-206(in)]TJ/F145 9.9626 Tf 1 0 0 1 396.533 462.167 Tm [(psb_spins)]TJ/F84 9.9626 Tf 1.02 0 0 1 124.802 450.212 Tm [(and)]TJ/F145 9.9626 Tf 1 0 0 1 144.844 450.212 Tm [(psb_geins)]TJ/F84 9.9626 Tf 1.02 0 0 1 194.755 450.212 Tm [(of)-279(the)]TJ/F145 9.9626 Tf 1 0 0 1 223.457 450.212 Tm [(local)]TJ/F84 9.9626 Tf 1.02 0 0 1 252.446 450.212 Tm [(ar)18(gument)-280(specifying)-279(that)-279(the)-279(indices)-279(in)]TJ/F145 9.9626 Tf 1 0 0 1 431.851 450.212 Tm [(ia)]TJ/F84 9.9626 Tf 1.02 0 0 1 442.311 450.212 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 124.802 438.257 Tm [(ja)]TJ/F84 9.9626 Tf 12.951 0 Td [(and)]TJ/F145 9.9626 Tf 19.358 0 Td [(irw)]TJ/F84 9.9626 Tf 15.691 0 Td [(,)-250(r)18(espectively)111(,)-250(ar)18(e)-250(alr)18(eady)-250(local)-250(indices.)]TJ/F75 11.9552 Tf -72.907 -29.133 Td [(2.4)-1000(Programming)-250(model)]TJ/F84 9.9626 Tf 1.02 0 0 1 99.587 390.16 Tm [(The)-266(PSBLAS)-265(librarary)-266(is)-266(based)-265(on)-266(the)-266(Single)-266(Pr)18(ogram)-266(Multiple)-265(Data)-266(\050SPMD\051)]TJ 1.008 0 0 1 99.596 378.205 Tm [(pr)18(ogramming)-250(model:)-310(each)-250(pr)18(ocess)-250(participating)-249(in)-250(the)-250(computation)-249(performs)]TJ 1 0 0 1 99.895 366.25 Tm [(the)-250(same)-250(actions)-250(on)-250(a)-250(chunk)-250(of)-250(data.)-310(Parallelism)-250(is)-250(thus)-250(data-driven.)]TJ 1.019 0 0 1 114.839 354.295 Tm [(Because)-246(of)-246(this)-246(str)8(uctur)17(e,)-246(many)-246(subr)18(outines)-246(coor)18(dinate)-246(their)-246(action)-247(acr)18(oss)]TJ 1.02 0 0 1 99.895 342.34 Tm [(the)-265(various)-264(pr)18(ocesses,)-270(thus)-264(pr)17(oviding)-264(an)-265(implicit)-264(synchr)17(onization)-264(point,)-270(and)]TJ 1.02 0 0 1 99.895 330.384 Tm [(ther)18(efor)17(e)]TJ/F78 9.9626 Tf 1.02 0 0 1 143.363 330.384 Tm [(must)]TJ/F84 9.9626 Tf 1.02 0 0 1 167.293 330.384 Tm [(be)-299(called)-299(simultaneously)-299(by)-298(all)-299(pr)17(ocesses)-299(participat)1(ing)-299(in)-299(the)]TJ 0.98 0 0 1 99.895 318.429 Tm [(computation.)-306(This)-225(is)-225(certainly)-225(tr)9(ue)-225(for)-225(the)-225(data)-225(allocation)-225(and)-224(assembly)-225(r)18(outines,)]TJ 1 0 0 1 99.895 306.474 Tm [(for)-250(all)-250(the)-250(computational)-250(r)18(outines)-250(and)-250(for)-250(some)-250(of)-250(the)-250(tools)-250(r)18(outines.)]TJ 1.02 0 0 1 114.839 294.519 Tm [(However)-269(ther)17(e)-269(ar)18(e)-270(many)-269(cases)-269(wher)18(e)-270(no)-269(synchr)18(onization,)-276(and)-269(indeed)-269(no)]TJ 1.02 0 0 1 99.895 282.564 Tm [(communication)-282(among)-281(pr)17(ocesses,)-290(is)-282(implied;)-300(for)-282(instance,)-290(all)-282(the)-282(r)18(outines)-282(in)]TJ 1.02 0 0 1 99.895 270.609 Tm [(sec.)]TJ + 0.98 0 0 1 124.802 462.167 Tm [(Build)-206(the)-207(sparse)-206(matrices)-207(and)-206(vectors,)-216(optionally)-207(making)-206(use)-206(in)]TJ/F147 9.9626 Tf 1 0 0 1 396.533 462.167 Tm [(psb_spins)]TJ/F84 9.9626 Tf 1.02 0 0 1 124.802 450.212 Tm [(and)]TJ/F147 9.9626 Tf 1 0 0 1 144.844 450.212 Tm [(psb_geins)]TJ/F84 9.9626 Tf 1.02 0 0 1 194.755 450.212 Tm [(of)-279(the)]TJ/F147 9.9626 Tf 1 0 0 1 223.457 450.212 Tm [(local)]TJ/F84 9.9626 Tf 1.02 0 0 1 252.446 450.212 Tm [(ar)18(gument)-280(specifying)-279(that)-279(the)-279(indices)-279(in)]TJ/F147 9.9626 Tf 1 0 0 1 431.851 450.212 Tm [(ia)]TJ/F84 9.9626 Tf 1.02 0 0 1 442.311 450.212 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 124.802 438.257 Tm [(ja)]TJ/F84 9.9626 Tf 12.951 0 Td [(and)]TJ/F147 9.9626 Tf 19.358 0 Td [(irw)]TJ/F84 9.9626 Tf 15.691 0 Td [(,)-250(r)18(espectively)111(,)-250(ar)18(e)-250(alr)18(eady)-250(local)-250(indices.)]TJ/F75 11.9552 Tf -72.907 -29.133 Td [(2.4)-1000(Programming)-250(model)]TJ/F84 9.9626 Tf 1.02 0 0 1 99.587 390.16 Tm [(The)-266(PSBLAS)-265(librarary)-266(is)-266(based)-265(on)-266(the)-266(Single)-266(Pr)18(ogram)-266(Multiple)-265(Data)-266(\050SPMD\051)]TJ 1.008 0 0 1 99.596 378.205 Tm [(pr)18(ogramming)-250(model:)-310(each)-250(pr)18(ocess)-250(participating)-249(in)-250(the)-250(computation)-249(performs)]TJ 1 0 0 1 99.895 366.25 Tm [(the)-250(same)-250(actions)-250(on)-250(a)-250(chunk)-250(of)-250(data.)-310(Parallelism)-250(is)-250(thus)-250(data-driven.)]TJ 1.019 0 0 1 114.839 354.295 Tm [(Because)-246(of)-246(this)-246(str)8(uctur)17(e,)-246(many)-246(subr)18(outines)-246(coor)18(dinate)-246(their)-246(action)-247(acr)18(oss)]TJ 1.02 0 0 1 99.895 342.34 Tm [(the)-265(various)-264(pr)18(ocesses,)-270(thus)-264(pr)17(oviding)-264(an)-265(implicit)-264(synchr)17(onization)-264(point,)-270(and)]TJ 1.02 0 0 1 99.895 330.384 Tm [(ther)18(efor)17(e)]TJ/F78 9.9626 Tf 1.02 0 0 1 143.363 330.384 Tm [(must)]TJ/F84 9.9626 Tf 1.02 0 0 1 167.293 330.384 Tm [(be)-299(called)-299(simultaneously)-299(by)-298(all)-299(pr)17(ocesses)-299(participat)1(ing)-299(in)-299(the)]TJ 0.98 0 0 1 99.895 318.429 Tm [(computation.)-306(This)-225(is)-225(certainly)-225(tr)9(ue)-225(for)-225(the)-225(data)-225(allocation)-225(and)-224(assembly)-225(r)18(outines,)]TJ 1 0 0 1 99.895 306.474 Tm [(for)-250(all)-250(the)-250(computational)-250(r)18(outines)-250(and)-250(for)-250(some)-250(of)-250(the)-250(tools)-250(r)18(outines.)]TJ 0.995 0 0 1 114.839 294.519 Tm [(However)-251(ther)18(e)-251(ar)18(e)-251(cases)-250(wher)18(e)-251(no)-251(synchr)18(onization,)-251(and)-251(indeed)-251(no)-251(commu-)]TJ 1.006 0 0 1 99.895 282.564 Tm [(nication)-248(among)-249(pr)18(ocesses,)-249(is)-248(implied;)-248(for)-249(instance,)-248(all)-249(the)-248(r)18(outines)-249(in)-248(sec.)]TJ 0 0 1 rg 0 0 1 RG - [-377(3)]TJ + [-249(3)]TJ 0 g 0 G - [-377(ar)17(e)-377(only)-377(acting)-377(on)-378(the)-377(local)-377(data)-377(str)8(uctur)17(es,)-410(and)-377(thus)-377(may)-378(b)1(e)-378(called)]TJ 1.02 0 0 1 99.895 258.653 Tm [(independently)109(.)-657(The)-362(most)-363(important)-363(case)-362(is)-363(that)-363(of)-362(the)-363(coef)18(\002cient)-363(insertion)]TJ 0.98 0 0 1 99.895 246.698 Tm [(r)18(outines:)-296(since)-215(the)-215(number)-216(of)-215(coef)19(\002)-1(cients)-215(in)-215(the)-215(sparse)-216(and)-215(dense)-215(matrices)-215(varies)]TJ 0.996 0 0 1 99.895 234.743 Tm [(among)-252(the)-251(pr)18(ocessors,)-252(and)-252(since)-252(the)-251(user)-252(is)-252(fr)18(ee)-251(to)-252(choose)-252(an)-251(arbitrary)-252(or)18(der)-252(in)]TJ 1 0 0 1 99.895 222.788 Tm [(builiding)-250(the)-250(matrix)-250(entries,)-250(these)-250(r)18(outines)-250(cannot)-250(imply)-250(a)-250(synchr)18(onization.)]TJ 14.944 -11.955 Td [(Thr)18(oughout)-250(this)-250(user)-74('s)-250(guide)-250(each)-250(subr)18(outine)-250(will)-250(be)-250(clearly)-250(indicated)-250(as:)]TJ + [-248(ar)18(e)]TJ 1 0 0 1 99.895 270.609 Tm [(only)-251(acting)-251(on)-251(the)-250(local)-251(data)-251(str)8(uctur)18(es,)-251(and)-251(thus)-251(may)-251(be)-250(called)-251(independently)111(.)]TJ 1.02 0 0 1 99.587 258.653 Tm [(The)-251(most)-251(important)-251(case)-251(is)-251(that)-251(of)-251(the)-251(coef)18(\002cient)-251(insertion)-251(r)18(outines:)-316(since)-251(the)]TJ 1.01 0 0 1 99.895 246.698 Tm [(number)-246(of)-247(coef)18(\002cients)-246(in)-246(the)-247(sparse)-246(and)-246(dense)-247(matrices)-246(varies)-246(among)-246(the)-247(pr)18(o-)]TJ 1.013 0 0 1 99.895 234.743 Tm [(cessors,)-248(and)-247(since)-247(the)-248(user)-247(is)-248(fr)18(ee)-247(to)-248(choose)-247(an)-248(arbitrary)-247(or)18(der)-248(in)-247(builiding)-247(the)]TJ 1 0 0 1 99.895 222.788 Tm [(matrix)-250(entries,)-250(these)-250(r)18(outines)-250(cannot)-250(imply)-250(a)-250(synchr)18(onization.)]TJ 14.944 -11.955 Td [(Thr)18(oughout)-250(this)-250(user)-74('s)-250(guide)-250(each)-250(subr)18(outine)-250(will)-250(be)-250(clearly)-250(indicated)-250(as:)]TJ 0 g 0 G /F75 9.9626 Tf -14.944 -19.926 Td [(Synchronous:)]TJ 0 g 0 G @@ -5851,15 +5860,15 @@ ET endstream endobj -1015 0 obj +1016 0 obj << -/Length 8766 +/Length 8791 >> stream 0 g 0 G 0 g 0 G BT -/F75 14.3462 Tf 150.705 705.784 Td [(3)-1000(Data)-250(Structures)-250(and)-250(Classes)]TJ/F84 9.9626 Tf 1.015 0 0 1 150.705 682.693 Tm [(In)-246(this)-246(chapter)-246(we)-247(illustrate)-246(the)-246(data)-246(str)8(uctur)18(es)-246(used)-247(for)-246(de\002nition)-246(of)-246(r)18(outines)]TJ 1.02 0 0 1 150.705 670.737 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 1 150.705 658.782 Tm [(descriptors)-250(and)-250(pr)18(econditioners.)]TJ 0.999 0 0 1 165.649 646.626 Tm [(All)-251(the)-251(data)-252(types)-251(and)-251(the)-251(basic)-251(subr)18(outine)-252(interfaces)-251(r)18(elated)-251(to)-251(descriptors)]TJ 1.02 0 0 1 150.705 634.671 Tm [(and)-296(sparse)-297(matrices)-296(ar)17(e)-296(de\002ned)-297(in)-296(the)-297(module)]TJ/F145 9.9626 Tf 1 0 0 1 364.369 634.671 Tm [(psb_base_mod)]TJ/F84 9.9626 Tf 1.02 0 0 1 427.133 634.671 Tm [(;)-322(this)-297(will)-296(have)]TJ 1.02 0 0 1 150.705 622.716 Tm [(to)-335(be)-335(included)-335(by)-335(every)-335(user)-336(subr)18(outine)-335(that)-335(makes)-335(use)-335(of)-335(the)-336(lib)1(rary)108(.)-574(The)]TJ 1 0 0 1 150.406 610.76 Tm [(pr)18(econditioners)-250(ar)18(e)-250(de\002ned)-250(in)-250(the)-250(module)]TJ/F145 9.9626 Tf 187.993 0 Td [(psb_prec_mod)]TJ/F84 9.9626 Tf 1.02 0 0 1 165.649 598.604 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 1 150.705 586.649 Tm [(de\002ned)-250(in)-250(the)-250(library)-250(as)-250(follows:)]TJ +/F75 14.3462 Tf 150.705 705.784 Td [(3)-1000(Data)-250(Structures)-250(and)-250(Classes)]TJ/F84 9.9626 Tf 1.015 0 0 1 150.705 682.693 Tm [(In)-246(this)-246(chapter)-246(we)-247(illustrate)-246(the)-246(data)-246(str)8(uctur)18(es)-246(used)-247(for)-246(de\002nition)-246(of)-246(r)18(outines)]TJ 1.02 0 0 1 150.705 670.737 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 1 150.705 658.782 Tm [(descriptors)-250(and)-250(pr)18(econditioners.)]TJ 0.999 0 0 1 165.649 646.626 Tm [(All)-251(the)-251(data)-252(types)-251(and)-251(the)-251(basic)-251(subr)18(outine)-252(interfaces)-251(r)18(elated)-251(to)-251(descriptors)]TJ 1.02 0 0 1 150.705 634.671 Tm [(and)-296(sparse)-297(matrices)-296(ar)17(e)-296(de\002ned)-297(in)-296(the)-297(module)]TJ/F147 9.9626 Tf 1 0 0 1 364.369 634.671 Tm [(psb_base_mod)]TJ/F84 9.9626 Tf 1.02 0 0 1 427.133 634.671 Tm [(;)-322(this)-297(will)-296(have)]TJ 1.02 0 0 1 150.705 622.716 Tm [(to)-335(be)-335(included)-335(by)-335(every)-335(user)-336(subr)18(outine)-335(that)-335(makes)-335(use)-335(of)-335(the)-336(lib)1(rary)108(.)-574(The)]TJ 1 0 0 1 150.406 610.76 Tm [(pr)18(econditioners)-250(ar)18(e)-250(de\002ned)-250(in)-250(the)-250(module)]TJ/F147 9.9626 Tf 187.993 0 Td [(psb_prec_mod)]TJ/F84 9.9626 Tf 1.02 0 0 1 165.649 598.604 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 1 150.705 586.649 Tm [(de\002ned)-250(in)-250(the)-250(library)-250(as)-250(follows:)]TJ 0 g 0 G /F75 9.9626 Tf 0 -20.528 Td [(psb)]TJ ET @@ -5878,7 +5887,7 @@ Q BT /F84 9.9626 Tf 1.02 0 0 1 196.055 566.121 Tm [(Kind)-361(parameter)-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 1 175.611 554.166 Tm [(sponds)-250(to)-250(a)]TJ 0.56 0.13 0.00 rg 0.56 0.13 0.00 RG -/F145 9.9626 Tf 52.902 0 Td [(REAL)]TJ +/F147 9.9626 Tf 52.902 0 Td [(REAL)]TJ 0 g 0 G /F84 9.9626 Tf 23.412 0 Td [(declaration)-250(and)-250(is)-250(normally)-250(4)-250(bytes;)]TJ 0 g 0 G @@ -5899,7 +5908,7 @@ Q BT /F84 9.9626 Tf 1.02 0 0 1 197.718 533.436 Tm [(Kind)-376(parameter)-375(for)-376(long)-376(pr)18(ecision)-375(r)17(eal)-375(and)-376(complex)-376(data;)-441(corr)18(e-)]TJ 1 0 0 1 175.611 521.481 Tm [(sponds)-250(to)-250(a)]TJ 0.56 0.13 0.00 rg 0.56 0.13 0.00 RG -/F145 9.9626 Tf 52.902 0 Td [(DOUBLE)-525(PRECISION)]TJ +/F147 9.9626 Tf 52.902 0 Td [(DOUBLE)-525(PRECISION)]TJ 0 g 0 G /F84 9.9626 Tf 86.176 0 Td [(declaration)-250(and)-250(is)-250(normally)-250(8)-250(bytes;)]TJ 0 g 0 G @@ -5935,7 +5944,7 @@ q Q 0 g 0 G BT -/F84 9.9626 Tf 1.02 0 0 1 196.613 480.022 Tm [(Kind)-311(parameter)-312(for)-311(8-bytes)-311(integer)-311(data,)-328(as)-312(is)-311(always)-311(used)-312(by)-311(the)]TJ/F145 9.9626 Tf 1 0 0 1 175.611 468.067 Tm [(sizeof)]TJ/F84 9.9626 Tf 33.873 0 Td [(methods;)]TJ +/F84 9.9626 Tf 0.983 0 0 1 196.613 480.022 Tm [(Kind)-255(parameter)-256(for)-255(8-bytes)-255(integer)-256(data,)-255(as)-256(is)-255(always)-256(r)19(eturned)-256(by)-255(the)]TJ/F147 9.9626 Tf 1 0 0 1 175.611 468.067 Tm [(sizeof)]TJ/F84 9.9626 Tf 33.873 0 Td [(methods;)]TJ 0 g 0 G /F75 9.9626 Tf -58.779 -20.73 Td [(psb)]TJ ET @@ -5969,25 +5978,25 @@ q Q 0 g 0 G BT -/F84 9.9626 Tf 1.02 0 0 1 194.949 414.653 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 1 175.611 402.698 Tm [(build)-250(options)-250(this)-250(is)-250(an)-250(8)-250(bytes)-250(integer;)]TJ 1.017 0 0 1 150.396 382.169 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 1 150.705 370.214 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 1 150.396 358.259 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 1 150.705 346.304 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 1 150.705 334.349 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 1 150.705 322.393 Tm [(completely)-247(exhaustive;)-248(many)-248(methods,)-247(especially)-248(those)-247(that)-248(alt)1(er)-248(the)-247(contents)]TJ 0.984 0 0 1 150.705 310.438 Tm [(of)-253(the)-254(various)-253(objects,)-253(ar)18(e)-253(usually)-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 1 150.705 298.483 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 1 150.316 248.853 Tm [(All)-387(the)-386(general)-387(matrix)-387(informations)-386(and)-387(elements)-387(to)-387(be)-386(exchanged)-387(among)]TJ 1.02 0 0 1 150.406 236.897 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/F145 9.9626 Tf 1 0 0 1 397.584 236.897 Tm [(psb)]TJ +/F84 9.9626 Tf 1.02 0 0 1 194.949 414.653 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 1 175.611 402.698 Tm [(build)-250(options)-250(this)-250(is)-250(an)-250(8)-250(bytes)-250(integer;)]TJ 1.017 0 0 1 150.396 382.169 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 1 150.705 370.214 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 1 150.396 358.259 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 1 150.705 346.304 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 1 150.705 334.349 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 1 150.705 322.393 Tm [(completely)-247(exhaustive;)-248(many)-248(methods,)-247(especially)-248(those)-247(that)-248(alt)1(er)-248(the)-247(contents)]TJ 0.984 0 0 1 150.705 310.438 Tm [(of)-253(the)-254(various)-253(objects,)-253(ar)18(e)-253(usually)-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 1 150.705 298.483 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 1 150.316 248.853 Tm 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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 1 150.426 201.032 Tm [(various)-250(algorithms)-250(of)-250(inter)18(est)-250(to)-250(us.)]TJ 1.007 0 0 1 165.649 188.876 Tm [(The)-249(data)-248(str)8(uctur)17(e)-248(itself)]TJ/F145 9.9626 Tf 1 0 0 1 273.186 188.876 Tm [(psb_desc_type)]TJ/F84 9.9626 Tf 1.007 0 0 1 343.676 188.876 Tm [(can)-249(be)-248(tr)17(eated)-248(as)-249(an)-249(opaque)-248(object)]TJ 1.02 0 0 1 150.705 176.921 Tm [(handled)-278(via)-279(the)-278(tools)-278(r)17(outines)-278(of)-278(Sec.)]TJ +/F147 9.9626 Tf 194.849 224.942 Td [(type)]TJ/F84 9.9626 Tf 1.02 0 0 1 215.77 224.942 Tm [(.)-658(Every)-363(str)8(uctur)18(e)-363(of)-363(this)-363(type)-363(is)-363(associated)-363(with)-363(a)-363(discr)17(etiza-)]TJ 1.02 0 0 1 150.705 212.987 Tm 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[(the)-250(desir)18(ed)-250(integer)-250(storage)-250(format.)]TJ -3.875 -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 1 124.802 356.277 Tm [(Speci\002ed)-212(as:)-295(a)-212(object)-212(of)-212(type)-213(der)1(ived)-213(fr)19(om)-212(\050integer\051)]TJ/F147 9.9626 Tf 1 0 0 1 344.16 356.277 Tm [(psb)]TJ ET q 1 0 0 1 360.479 356.476 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 363.617 356.277 Td [(T)]TJ +/F147 9.9626 Tf 363.617 356.277 Td [(T)]TJ ET q 1 0 0 1 369.475 356.476 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 372.613 356.277 Td [(base)]TJ +/F147 9.9626 Tf 372.613 356.277 Td [(base)]TJ ET q 1 0 0 1 394.162 356.476 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 397.301 356.277 Td [(vect)]TJ +/F147 9.9626 Tf 397.301 356.277 Td [(vect)]TJ ET q 1 0 0 1 418.849 356.476 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 421.988 356.277 Td [(type)]TJ/F84 9.9626 Tf 0.98 0 0 1 442.909 356.277 Tm [(.)]TJ 0.98 0 0 1 99.587 333.687 Tm [(The)]TJ/F145 9.9626 Tf 1 0 0 1 118.361 333.687 Tm [(mold)]TJ/F84 9.9626 Tf 0.98 0 0 1 141.713 333.687 Tm [(ar)18(guments)-249(may)-248(be)-249(employed)-249(to)-249(interface)-249(with)-249(special)-249(devices,)-250(such)-249(as)]TJ 1 0 0 1 99.895 321.732 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 1 134.765 293.636 Tm [(psb)]TJ +/F147 9.9626 Tf 421.988 356.277 Td [(type)]TJ/F84 9.9626 Tf 0.98 0 0 1 442.909 356.277 Tm [(.)]TJ 0.98 0 0 1 99.587 333.687 Tm [(The)]TJ/F147 9.9626 Tf 1 0 0 1 118.361 333.687 Tm [(mold)]TJ/F84 9.9626 Tf 0.98 0 0 1 141.713 333.687 Tm [(ar)18(guments)-249(may)-248(be)-249(employed)-249(to)-249(interface)-249(with)-249(special)-249(devices,)-250(such)-249(as)]TJ 1 0 0 1 99.895 321.732 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 1 134.765 293.636 Tm [(psb)]TJ ET q 1 0 0 1 151.628 293.835 cm @@ -6730,7 +6739,7 @@ BT /F75 9.9626 Tf 0.98 0 0 1 210.386 293.636 Tm [(threshold)-207(\227)-206(Get)-207(threshold)-207(for)-207(index)-207(mapping)-206(switch)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf 1 0 0 1 99.895 274.346 Tm [(ith)-525(=)-525(psb_cd_get_hash_threshold\050\051)]TJ +/F147 9.9626 Tf 1 0 0 1 99.895 274.346 Tm [(ith)-525(=)-525(psb_cd_get_hash_threshold\050\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -22.421 Td [(T)90(ype:)]TJ 0 g 0 G @@ -6772,7 +6781,7 @@ BT /F75 9.9626 Tf 0.98 0 0 1 209.292 182.634 Tm [(threshold)-254(\227)-255(Set)-254(threshold)-255(for)-254(index)-255(mapping)-254(switch)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf 1 0 0 1 99.895 163.345 Tm [(call)-525(psb_cd_set_hash_threshold\050ith\051)]TJ +/F147 9.9626 Tf 1 0 0 1 99.895 163.345 Tm [(call)-525(psb_cd_set_hash_threshold\050ith\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -22.422 Td [(T)90(ype:)]TJ 0 g 0 G @@ -6787,7 +6796,7 @@ ET endstream endobj -1064 0 obj +1065 0 obj << /Length 5826 >> @@ -6798,7 +6807,7 @@ stream BT /F75 9.9626 Tf 150.705 706.129 Td [(ith)]TJ 0 g 0 G -/F84 9.9626 Tf 17.703 0 Td [(the)-250(new)-250(thr)18(eshold)-250(for)-250(communication)-250(descriptors.)]TJ 7.203 -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 [(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 [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(gr)18(eater)-250(than)-250(zer)18(o.)]TJ 1.02 0 0 1 150.396 634.849 Tm [(This)-247(thr)17(eshold)-247(guides)-247(the)-248(library)-247(into)-247(using)-248(a)-247(list)-248(based)-247(or)-247(a)-248(hash-table)-247(based)]TJ 1.02 0 0 1 150.705 622.893 Tm [(descriptor)-277(for)-276(global)-277(to)-277(local)-276(index)-277(conversion;)-292(if)-277(the)-277(size)-276(of)-277(the)-277(gl)1(obal)-277(index)]TJ 1.02 0 0 1 150.705 610.938 Tm [(space)-351(is)-351(below)-351(this)-351(thr)18(eshold,)-377(a)-351(list)-351(based)-351(str)8(uctur)17(e)-351(is)-351(used,)-377(if)-351(it)-351(is)-351(above)-351(a)]TJ 0.986 0 0 1 150.705 598.983 Tm [(hash-table)-252(based)-252(str)8(uctur)18(e)-252(is)-253(used.)-314(Note:)-313(the)-253(thr)19(eshold)-253(value)-252(is)-252(only)-252(queried)-253(by)]TJ 1.02 0 0 1 150.705 587.028 Tm [(the)-259(library)-259(at)-259(the)-260(time)-259(a)-259(call)-259(to)]TJ/F145 9.9626 Tf 1 0 0 1 288.208 587.028 Tm [(psb_cdall)]TJ/F84 9.9626 Tf 1.02 0 0 1 337.915 587.028 Tm [(is)-259(executed,)-263(ther)18(efor)17(e)-259(changing)-259(the)]TJ 1.017 0 0 1 150.705 575.073 Tm [(thr)18(eshold)-245(has)-244(no)-244(ef)18(fect)-244(on)-245(communication)-244(descriptors)-244(that)-245(have)-244(alr)18(eady)-244(been)]TJ 1 0 0 1 150.705 563.118 Tm [(initialized.)-310(Mor)18(eover)-250(the)-250(thr)18(eshold)-250(must)-250(have)-250(the)-250(same)-250(value)-250(on)-250(all)-250(pr)18(ocesses.)]TJ/F75 9.9626 Tf 0 -29.334 Td [(3.1.12)-1000(get)]TJ +/F84 9.9626 Tf 17.703 0 Td [(the)-250(new)-250(thr)18(eshold)-250(for)-250(communication)-250(descriptors.)]TJ 7.203 -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 [(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 [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(gr)18(eater)-250(than)-250(zer)18(o.)]TJ 1.02 0 0 1 150.396 634.849 Tm [(This)-247(thr)17(eshold)-247(guides)-247(the)-248(library)-247(into)-247(using)-248(a)-247(list)-248(based)-247(or)-247(a)-248(hash-table)-247(based)]TJ 1.02 0 0 1 150.705 622.893 Tm [(descriptor)-277(for)-276(global)-277(to)-277(local)-276(index)-277(conversion;)-292(if)-277(the)-277(size)-276(of)-277(the)-277(gl)1(obal)-277(index)]TJ 1.02 0 0 1 150.705 610.938 Tm [(space)-351(is)-351(below)-351(this)-351(thr)18(eshold,)-377(a)-351(list)-351(based)-351(str)8(uctur)17(e)-351(is)-351(used,)-377(if)-351(it)-351(is)-351(above)-351(a)]TJ 0.986 0 0 1 150.705 598.983 Tm [(hash-table)-252(based)-252(str)8(uctur)18(e)-252(is)-253(used.)-314(Note:)-313(the)-253(thr)19(eshold)-253(value)-252(is)-252(only)-252(queried)-253(by)]TJ 1.02 0 0 1 150.705 587.028 Tm [(the)-259(library)-259(at)-259(the)-260(time)-259(a)-259(call)-259(to)]TJ/F147 9.9626 Tf 1 0 0 1 288.208 587.028 Tm [(psb_cdall)]TJ/F84 9.9626 Tf 1.02 0 0 1 337.915 587.028 Tm [(is)-259(executed,)-263(ther)18(efor)17(e)-259(changing)-259(the)]TJ 1.017 0 0 1 150.705 575.073 Tm [(thr)18(eshold)-245(has)-244(no)-244(ef)18(fect)-244(on)-245(communication)-244(descriptors)-244(that)-245(have)-244(alr)18(eady)-244(been)]TJ 1 0 0 1 150.705 563.118 Tm [(initialized.)-310(Mor)18(eover)-250(the)-250(thr)18(eshold)-250(must)-250(have)-250(the)-250(same)-250(value)-250(on)-250(all)-250(pr)18(ocesses.)]TJ/F75 9.9626 Tf 0 -29.334 Td [(3.1.12)-1000(get)]TJ ET q 1 0 0 1 200.01 533.983 cm @@ -6815,7 +6824,7 @@ BT /F75 9.9626 Tf 212.672 533.784 Td [(adjcncy)-250(\227)-250(Get)-250(process)-250(adjacency)-250(list)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -61.967 -19.711 Td [(list)-525(=)-1050(desc%get_p_adjcncy\050\051)]TJ +/F147 9.9626 Tf -61.967 -19.711 Td [(list)-525(=)-1050(desc%get_p_adjcncy\050\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -23.074 Td [(T)90(ype:)]TJ 0 g 0 G @@ -6843,7 +6852,7 @@ BT /F75 9.9626 Tf 211.557 406.776 Td [(adjcncy)-250(\227)-250(Set)-250(process)-250(adjacency)-250(list)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -60.852 -19.711 Td [(call)-525(desc%set_p_adjcncy\050list\051)]TJ +/F147 9.9626 Tf -60.852 -19.711 Td [(call)-525(desc%set_p_adjcncy\050list\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -23.074 Td [(T)90(ype:)]TJ 0 g 0 G @@ -6854,7 +6863,7 @@ BT 0 g 0 G 0 -21.467 Td [(list)]TJ 0 g 0 G -/F84 9.9626 Tf 19.357 0 Td [(the)-250(list)-250(of)-250(adjacent)-250(pr)18(ocesses.)]TJ 5.549 -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 [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(one-dimensional)-250(array)-250(of)-250(integers)-250(of)-250(kind)]TJ/F145 9.9626 Tf 250.21 0 Td [(psb_ipk_)]TJ/F84 9.9626 Tf 41.842 0 Td [(.)]TJ 1.02 0 0 1 150.705 249.777 Tm [(Note:)-521(this)-354(method)-353(can)-354(be)-353(called)-354(after)-354(a)-353(call)-354(to)]TJ/F145 9.9626 Tf 1 0 0 1 367.056 249.777 Tm [(psb_cdall)]TJ/F84 9.9626 Tf 1.02 0 0 1 417.722 249.777 Tm [(and)-354(befor)18(e)-354(a)-353(call)]TJ 1.02 0 0 1 150.705 237.822 Tm [(to)]TJ/F145 9.9626 Tf 1 0 0 1 162.313 237.822 Tm [(psb_cdasb)]TJ/F84 9.9626 Tf 1.02 0 0 1 209.387 237.822 Tm [(.)-380(The)-270(user)-270(is)-271(specifying)-270(her)17(e)-270(some)-270(knowledge)-271(about)-270(which)-270(pr)17(o-)]TJ 0.986 0 0 1 150.705 225.866 Tm [(cesses)-255(ar)19(e)-255(topological)-255(neighbours)-254(of)-255(the)-254(curr)18(ent)-255(pr)18(oce)1(ss.)-318(The)-255(availability)-254(of)-255(this)]TJ 1 0 0 1 150.705 213.911 Tm [(information)-250(may)-250(speed)-250(up)-250(the)-250(execution)-250(of)-250(the)-250(assembly)-250(call)]TJ/F145 9.9626 Tf 269.655 0 Td [(psb_cdasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(.)]TJ/F75 9.9626 Tf -316.728 -29.333 Td [(3.1.14)-1000(fnd)]TJ +/F84 9.9626 Tf 19.357 0 Td [(the)-250(list)-250(of)-250(adjacent)-250(pr)18(ocesses.)]TJ 5.549 -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 [(in)]TJ/F84 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(one-dimensional)-250(array)-250(of)-250(integers)-250(of)-250(kind)]TJ/F147 9.9626 Tf 250.21 0 Td [(psb_ipk_)]TJ/F84 9.9626 Tf 41.842 0 Td [(.)]TJ 1.02 0 0 1 150.705 249.777 Tm [(Note:)-521(this)-354(method)-353(can)-354(be)-353(called)-354(after)-354(a)-353(call)-354(to)]TJ/F147 9.9626 Tf 1 0 0 1 367.056 249.777 Tm [(psb_cdall)]TJ/F84 9.9626 Tf 1.02 0 0 1 417.722 249.777 Tm [(and)-354(befor)18(e)-354(a)-353(call)]TJ 1.02 0 0 1 150.705 237.822 Tm [(to)]TJ/F147 9.9626 Tf 1 0 0 1 162.313 237.822 Tm [(psb_cdasb)]TJ/F84 9.9626 Tf 1.02 0 0 1 209.387 237.822 Tm [(.)-380(The)-270(user)-270(is)-271(specifying)-270(her)17(e)-270(some)-270(knowledge)-271(about)-270(which)-270(pr)17(o-)]TJ 0.986 0 0 1 150.705 225.866 Tm [(cesses)-255(ar)19(e)-255(topological)-255(neighbours)-254(of)-255(the)-254(curr)18(ent)-255(pr)18(oce)1(ss.)-318(The)-255(availability)-254(of)-255(this)]TJ 1 0 0 1 150.705 213.911 Tm [(information)-250(may)-250(speed)-250(up)-250(the)-250(execution)-250(of)-250(the)-250(assembly)-250(call)]TJ/F147 9.9626 Tf 269.655 0 Td [(psb_cdasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(.)]TJ/F75 9.9626 Tf -316.728 -29.333 Td [(3.1.14)-1000(fnd)]TJ ET q 1 0 0 1 202.221 184.777 cm @@ -6864,7 +6873,7 @@ BT /F75 9.9626 Tf 205.21 184.578 Td [(owner)-250(\227)-250(Find)-250(the)-250(owner)-250(process)-250(of)-250(a)-250(set)-250(of)-250(indices)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -54.505 -19.711 Td [(call)-525(desc%fnd_owner\050idx,iprc,info\051)]TJ +/F147 9.9626 Tf -54.505 -19.711 Td [(call)-525(desc%fnd_owner\050idx,iprc,info\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -23.074 Td [(T)90(ype:)]TJ 0 g 0 G @@ -6879,7 +6888,7 @@ ET endstream endobj -1071 0 obj +1072 0 obj << /Length 8300 >> @@ -6890,14 +6899,14 @@ stream BT /F75 9.9626 Tf 99.895 706.129 Td [(idx)]TJ 0 g 0 G -/F84 9.9626 Tf 19.368 0 Td [(the)-250(list)-250(of)-250(global)-250(indices)-250(for)-250(which)-250(we)-250(need)-250(the)-250(owning)-250(pr)18(ocesses.)]TJ 5.539 -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 -11.956 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(one-dimensional)-250(array)-250(of)-250(integers)-250(of)-250(kind)]TJ/F145 9.9626 Tf 250.209 0 Td [(psb_lpk_)]TJ/F84 9.9626 Tf 41.843 0 Td [(.)]TJ +/F84 9.9626 Tf 19.368 0 Td [(the)-250(list)-250(of)-250(global)-250(indices)-250(for)-250(which)-250(we)-250(need)-250(the)-250(owning)-250(pr)18(ocesses.)]TJ 5.539 -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 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[(.)]TJ/F75 9.9626 Tf -227.126 -30.581 Td [(3.2.8)-1000(is)]TJ ET q 1 0 0 1 188.931 315.533 cm @@ -8115,7 +8124,7 @@ Q BT /F75 9.9626 Tf 258.291 315.333 Td [(asb)-250(\227)-250(Status)-250(check)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F145 9.9626 Tf -107.586 -20.135 Td [(if)]TJ +/F147 9.9626 Tf -107.586 -20.135 Td [(if)]TJ 0 g 0 G 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G @@ -8166,7 +8175,7 @@ BT 0 g 0 G /F84 9.9626 Tf 0.995 0 0 1 223.093 132.281 Tm [(A)]TJ 0.56 0.13 0.00 rg 0.56 0.13 0.00 RG -/F145 9.9626 Tf 1 0 0 1 233.29 132.281 Tm [(logical)]TJ +/F147 9.9626 Tf 1 0 0 1 233.29 132.281 Tm [(logical)]TJ 0 g 0 G /F84 9.9626 Tf 0.995 0 0 1 272.387 132.281 Tm [(value)-251(indicating)-250(whether)-251(the)-250(matrix)-251(is)-251(in)-250(the)-251(Build,)]TJ 1 0 0 1 175.611 120.326 Tm [(Update)-250(or)-250(Assembled)-250(state,)-250(r)18(espectively)111(.)]TJ 0 g 0 G @@ -8176,7 +8185,7 @@ ET endstream endobj -1094 0 obj +1095 0 obj << /Length 6058 >> @@ -8214,7 +8223,7 @@ Q BT /F75 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[(\050psb_T_base_sparse_mat\051)]TJ/F84 9.9626 Tf 0.994 0 0 1 334.109 277.73 Tm [(r)18(equesting)-251(a)-250(new)-251(format.)]TJ 1 0 0 1 124.493 265.775 Tm [(T)90(ype:)-310(optional.)]TJ 0 g 0 G @@ -8350,11 +8359,11 @@ BT 0 g 0 G 0 -21.183 Td [(b,a)]TJ 0 g 0 G -/F84 9.9626 Tf 18.152 0 Td [(A)-250(copy)-250(of)]TJ/F145 9.9626 Tf 45.37 0 Td [(a)]TJ/F84 9.9626 Tf 7.721 0 Td [(with)-250(a)-250(new)-250(storage)-250(format.)]TJ -46.725 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F145 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ +/F84 9.9626 Tf 18.152 0 Td [(A)-250(copy)-250(of)]TJ/F147 9.9626 Tf 45.37 0 Td [(a)]TJ/F84 9.9626 Tf 7.721 0 Td [(with)-250(a)-250(new)-250(storage)-250(format.)]TJ -46.725 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F147 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -184.596 -21.183 Td [(info)]TJ 0 g 0 G -/F84 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ 0.98 0 0 1 99.587 132.281 Tm [(The)]TJ/F145 9.9626 Tf 1 0 0 1 118.361 132.281 Tm [(mold)]TJ/F84 9.9626 Tf 0.98 0 0 1 141.713 132.281 Tm [(ar)18(guments)-249(may)-248(be)-249(employed)-249(to)-249(interface)-249(with)-249(special)-249(devices,)-250(such)-249(as)]TJ 1 0 0 1 99.895 120.326 Tm [(GPUs)-250(and)-250(other)-250(accelerators.)]TJ +/F84 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ 0.98 0 0 1 99.587 132.281 Tm [(The)]TJ/F147 9.9626 Tf 1 0 0 1 118.361 132.281 Tm [(mold)]TJ/F84 9.9626 Tf 0.98 0 0 1 141.713 132.281 Tm [(ar)18(guments)-249(may)-248(be)-249(employed)-249(to)-249(interface)-249(with)-249(special)-249(devices,)-250(such)-249(as)]TJ 1 0 0 1 99.895 120.326 Tm [(GPUs)-250(and)-250(other)-250(accelerators.)]TJ 0 g 0 G 166.875 -29.888 Td [(21)]TJ 0 g 0 G @@ -8362,7 +8371,7 @@ ET endstream endobj -1098 0 obj +1099 0 obj << /Length 5075 >> @@ -8374,7 +8383,7 @@ BT 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 -/F145 9.9626 Tf 20.921 -18.964 Td [(call)]TJ +/F147 9.9626 Tf 20.921 -18.964 Td [(call)]TJ 0 g 0 G [-525(a%csclip\050b,info[,&)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -8382,9 +8391,9 @@ BT 15.691 -11.955 Td [(&)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G - [-525(imin,imax,jmin,jmax,rscale,cscale]\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 165.649 654.656 Tm [(Returns)-212(the)-213(submatrix)]TJ/F145 9.9626 Tf 1 0 0 1 263.207 654.656 Tm [(A\050imin:imax,jmin:jmax\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 378.274 654.656 Tm [(,)-221(optionally)-212(r)18(escaling)-212(r)18(ow/-)]TJ 1 0 0 1 150.705 642.7 Tm [(col)-250(indices)-250(to)-250(the)-250(range)]TJ + [-525(imin,imax,jmin,jmax,rscale,cscale]\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 165.649 654.656 Tm [(Returns)-212(the)-213(submatrix)]TJ/F147 9.9626 Tf 1 0 0 1 263.207 654.656 Tm [(A\050imin:imax,jmin:jmax\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 378.274 654.656 Tm [(,)-221(optionally)-212(r)18(escaling)-212(r)18(ow/-)]TJ 1 0 0 1 150.705 642.7 Tm [(col)-250(indices)-250(to)-250(the)-250(range)]TJ 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG -/F145 9.9626 Tf 103.849 0 Td [(1)]TJ +/F147 9.9626 Tf 103.849 0 Td [(1)]TJ 0 g 0 G [(:imax)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG @@ -8423,7 +8432,7 @@ BT 0 g 0 G 0 -19.38 Td [(a)]TJ 0 g 0 G -/F84 9.9626 Tf 9.962 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.556 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F145 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ -159.689 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ +/F84 9.9626 Tf 9.962 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.556 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F147 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ -159.689 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 0 Td [(local)]TJ/F84 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -77.917 -31.335 Td [(imin,imax,jmin,jmax)]TJ 0 g 0 G @@ -8438,7 +8447,7 @@ BT 0 g 0 G 0 -19.38 Td [(b)]TJ 0 g 0 G -/F84 9.9626 Tf 10.68 0 Td [(A)-250(copy)-250(of)-250(a)-250(submatrix)-250(of)]TJ/F145 9.9626 Tf 111.321 0 Td [(a)]TJ/F84 9.9626 Tf 5.23 0 Td [(.)]TJ -102.713 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F145 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ +/F84 9.9626 Tf 10.68 0 Td [(A)-250(copy)-250(of)-250(a)-250(submatrix)-250(of)]TJ/F147 9.9626 Tf 111.321 0 Td [(a)]TJ/F84 9.9626 Tf 5.23 0 Td [(.)]TJ -102.713 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F147 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -184.596 -19.38 Td [(info)]TJ 0 g 0 G @@ -8451,7 +8460,7 @@ Q BT /F75 9.9626 Tf 212.951 400.372 Td [(zeros)-250(\227)-250(Eliminate)-250(zero)-250(coef)18(\002cients)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F145 9.9626 Tf -62.246 -18.964 Td [(call)]TJ +/F147 9.9626 Tf -62.246 -18.964 Td [(call)]TJ 0 g 0 G [-525(a%clean_zeros\050info\051)]TJ/F84 9.9626 Tf 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Tf 50.659 0 Td [(a)]TJ/F84 9.9626 Tf 7.721 0 Td [(without)-250(zer)18(o)-250(coef)18(\002cients.)]TJ -43.516 -11.956 Td [(A)-250(variable)-250(of)-250(type)]TJ/F145 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ +/F84 9.9626 Tf 9.654 0 Td [(The)-250(matrix)]TJ/F147 9.9626 Tf 50.659 0 Td [(a)]TJ/F84 9.9626 Tf 7.721 0 Td [(without)-250(zer)18(o)-250(coef)18(\002cients.)]TJ -43.516 -11.956 Td [(A)-250(variable)-250(of)-250(type)]TJ/F147 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -184.596 -19.38 Td [(info)]TJ 0 g 0 G @@ -8491,7 +8500,7 @@ ET endstream endobj -1104 0 obj +1105 0 obj << /Length 4701 >> @@ -8508,7 +8517,7 @@ Q BT /F75 9.9626 Tf 152.189 706.129 Td [(diag)-250(\227)-250(Get)-250(main)-250(diagonal)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F145 9.9626 Tf -52.294 -19.329 Td [(call)]TJ +/F147 9.9626 Tf -52.294 -19.329 Td [(call)]TJ 0 g 0 G [-525(a%get_diag\050d,info\051)]TJ/F84 9.9626 Tf 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651.513 Tm [(means)-258(the)-258(\002rst)-258(super)18(diagonal,)]TJ/F147 9.9626 Tf 1 0 0 1 175.611 639.558 Tm [(diag)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=-)]TJ 0 g 0 G @@ -8666,11 +8675,11 @@ BT 0 g 0 G 0 -18.75 Td [(l)]TJ 0 g 0 G -/F84 9.9626 Tf 7.91 0 Td [(A)-250(copy)-250(of)-250(the)-250(lower)-250(triangle)-250(of)]TJ/F145 9.9626 Tf 137.333 0 Td [(a)]TJ/F84 9.9626 Tf 5.231 0 Td [(.)]TJ -125.956 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F145 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ +/F84 9.9626 Tf 7.91 0 Td [(A)-250(copy)-250(of)-250(the)-250(lower)-250(triangle)-250(of)]TJ/F147 9.9626 Tf 137.333 0 Td [(a)]TJ/F84 9.9626 Tf 5.231 0 Td [(.)]TJ -125.956 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F147 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F84 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -184.596 -18.75 Td [(u)]TJ 0 g 0 G -/F84 9.9626 Tf 10.74 0 Td 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Tf 1 0 0 1 323.065 192.057 Tm [(psb)]TJ +/F147 9.9626 Tf 172.752 204.012 Td [(type)]TJ/F84 9.9626 Tf 1.02 0 0 1 196.689 204.012 Tm [(data)-297(str)8(uctur)18(e)-297(encapsulates)-296(the)-297(dense)-297(vectors)-296(in)-297(a)-297(way)]TJ 0.98 0 0 1 99.895 192.057 Tm [(similar)-231(t)1(o)-231(sparse)-230(matrices,)-236(i.e.)-308(including)-230(a)-231(base)-230(type)]TJ/F147 9.9626 Tf 1 0 0 1 323.065 192.057 Tm [(psb)]TJ ET q 1 0 0 1 339.383 192.256 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 342.522 192.057 Td [(T)]TJ +/F147 9.9626 Tf 342.522 192.057 Td [(T)]TJ ET q 1 0 0 1 348.38 192.256 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 351.518 192.057 Td [(base)]TJ +/F147 9.9626 Tf 351.518 192.057 Td [(base)]TJ ET q 1 0 0 1 373.067 192.256 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 376.205 192.057 Td [(vect)]TJ +/F147 9.9626 Tf 376.205 192.057 Td [(vect)]TJ ET q 1 0 0 1 397.754 192.256 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 400.892 192.057 Td [(type)]TJ/F84 9.9626 Tf 0.98 0 0 1 421.814 192.057 Tm [(.)-308(The)]TJ 1.016 0 0 1 99.895 180.101 Tm [(user)-245(will)-245(not,)-245(in)-245(general,)-245(access)-245(the)-244(vector)-245(components)-245(dir)18(ectly)109(,)-245(but)-245(rather)-245(via)]TJ 0.994 0 0 1 99.895 168.146 Tm [(the)-252(r)18(outines)-252(of)-253(sec.)]TJ +/F147 9.9626 Tf 400.892 192.057 Td [(type)]TJ/F84 9.9626 Tf 0.98 0 0 1 421.814 192.057 Tm [(.)-308(The)]TJ 1.016 0 0 1 99.895 180.101 Tm [(user)-245(will)-245(not,)-245(in)-245(general,)-245(access)-245(the)-244(vector)-245(components)-245(dir)18(ectly)109(,)-245(but)-245(rather)-245(via)]TJ 0.994 0 0 1 99.895 168.146 Tm [(the)-252(r)18(outines)-252(of)-253(sec.)]TJ 0 0 1 rg 0 0 1 RG [-252(6)]TJ 0 g 0 G @@ -9051,7 +9060,7 @@ BT 0 0 1 rg 0 0 1 RG [-266(3)]TJ 0 g 0 G - [-265(wher)18(e)]TJ/F145 9.9626 Tf 1 0 0 1 332.473 132.281 Tm [(T)]TJ/F84 9.9626 Tf 1.02 0 0 1 340.4 132.281 Tm [(is)-265(a)-266(placeholder)-265(for)-265(the)]TJ 1 0 0 1 99.895 120.326 Tm [(data)-250(type)-250(and)-250(pr)18(ecision)-250(variants)]TJ + [-265(wher)18(e)]TJ/F147 9.9626 Tf 1 0 0 1 332.473 132.281 Tm [(T)]TJ/F84 9.9626 Tf 1.02 0 0 1 340.4 132.281 Tm [(is)-265(a)-266(placeholder)-265(for)-265(the)]TJ 1 0 0 1 99.895 120.326 Tm [(data)-250(type)-250(and)-250(pr)18(ecision)-250(variants)]TJ 0 g 0 G 166.875 -29.888 Td [(25)]TJ 0 g 0 G @@ -9059,7 +9068,7 @@ ET endstream endobj -1121 0 obj +1122 0 obj << /Length 5172 >> @@ -9086,7 +9095,7 @@ BT 0 g 0 G /F75 9.9626 Tf -12.174 -20.358 Td [(Z)]TJ 0 g 0 G -/F84 9.9626 Tf 11.626 0 Td [(Double)-250(pr)18(ecision)-250(complex.)]TJ 0.987 0 0 1 150.396 604.444 Tm [(The)-252(actual)-252(data)-252(is)-252(contained)-252(in)-252(the)-253(polymorphic)-252(component)]TJ/F145 9.9626 Tf 1 0 0 1 412.002 604.444 Tm [(v%v)]TJ/F84 9.9626 Tf 0.987 0 0 1 427.693 604.444 Tm [(;)-253(t)1(he)-253(separation)]TJ 1.02 0 0 1 150.705 592.489 Tm [(between)-301(the)-301(application)-301(and)-300(the)-301(actual)-301(data)-301(is)-301(essential)-301(for)-301(cases)-301(wher)18(e)-301(it)-301(is)]TJ 1.02 0 0 1 150.705 580.534 Tm [(necessary)-259(to)-259(link)-260(to)-259(data)-259(storage)-259(made)-259(available)-259(elsewher)17(e)-259(outside)-259(the)-259(dir)17(ect)]TJ 0.995 0 0 1 150.705 568.579 Tm [(contr)18(ol)-250(of)-250(the)-250(compiler/appl)1(ication,)-251(e.g.)-311(data)-250(stor)18(ed)-249(in)-250(a)-250(graphics)-250(accelerator)-74('s)]TJ 1 0 0 1 150.406 556.624 Tm [(private)-250(memory)111(.)]TJ +/F84 9.9626 Tf 11.626 0 Td [(Double)-250(pr)18(ecision)-250(complex.)]TJ 0.987 0 0 1 150.396 604.444 Tm [(The)-252(actual)-252(data)-252(is)-252(contained)-252(in)-252(the)-253(polymorphic)-252(component)]TJ/F147 9.9626 Tf 1 0 0 1 412.002 604.444 Tm [(v%v)]TJ/F84 9.9626 Tf 0.987 0 0 1 427.693 604.444 Tm [(;)-253(t)1(he)-253(separation)]TJ 1.02 0 0 1 150.705 592.489 Tm [(between)-301(the)-301(application)-301(and)-300(the)-301(actual)-301(data)-301(is)-301(essential)-301(for)-301(cases)-301(wher)18(e)-301(it)-301(is)]TJ 1.02 0 0 1 150.705 580.534 Tm [(necessary)-259(to)-259(link)-260(to)-259(data)-259(storage)-259(made)-259(available)-259(elsewher)17(e)-259(outside)-259(the)-259(dir)17(ect)]TJ 0.995 0 0 1 150.705 568.579 Tm [(contr)18(ol)-250(of)-250(the)-250(compiler/appl)1(ication,)-251(e.g.)-311(data)-250(stor)18(ed)-249(in)-250(a)-250(graphics)-250(accelerator)-74('s)]TJ 1 0 0 1 150.406 556.624 Tm [(private)-250(memory)111(.)]TJ 0 g 0 G 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 @@ -9101,7 +9110,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F233 8.9664 Tf 163.108 525.005 Td [(type)]TJ +/F235 8.9664 Tf 163.108 525.005 Td [(type)]TJ 0 g 0 G [-525(psb_T_base_vect_type)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -9170,7 +9179,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 198.017 358.719 Td [(nrows)-250(\227)-250(Get)-250(number)-250(of)-250(rows)-250(in)-250(a)-250(dense)-250(vector)]TJ/F145 9.9626 Tf -47.312 -19.173 Td [(nr)]TJ +/F75 9.9626 Tf 198.017 358.719 Td [(nrows)-250(\227)-250(Get)-250(number)-250(of)-250(rows)-250(in)-250(a)-250(dense)-250(vector)]TJ/F147 9.9626 Tf -47.312 -19.173 Td [(nr)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG @@ -9196,7 +9205,7 @@ BT 0 g 0 G 0 -20.358 Td [(Function)-250(value)]TJ 0 g 0 G -/F84 9.9626 Tf 72.468 0 Td [(The)-250(number)-250(of)-250(r)18(ows)-250(of)-250(dense)-250(vector)]TJ/F145 9.9626 Tf 161.273 0 Td [(v)]TJ/F84 9.9626 Tf 5.23 0 Td [(.)]TJ/F75 9.9626 Tf -238.971 -27.757 Td [(3.3.3)-1000(sizeof)-250(\227)-250(Get)-250(memory)-250(occupation)-250(in)-250(bytes)-250(of)-250(a)-250(dense)-250(vector)]TJ/F145 9.9626 Tf 0 -19.174 Td [(memory_size)]TJ +/F84 9.9626 Tf 72.468 0 Td [(The)-250(number)-250(of)-250(r)18(ows)-250(of)-250(dense)-250(vector)]TJ/F147 9.9626 Tf 161.273 0 Td [(v)]TJ/F84 9.9626 Tf 5.23 0 Td [(.)]TJ/F75 9.9626 Tf -238.971 -27.757 Td [(3.3.3)-1000(sizeof)-250(\227)-250(Get)-250(memory)-250(occupation)-250(in)-250(bytes)-250(of)-250(a)-250(dense)-250(vector)]TJ/F147 9.9626 Tf 0 -19.174 Td [(memory_size)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG @@ -9219,7 +9228,7 @@ ET endstream endobj -1127 0 obj +1128 0 obj << /Length 3997 >> @@ -9241,7 +9250,7 @@ BT 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 -/F145 9.9626 Tf 5.231 -20.898 Td [(call)]TJ +/F147 9.9626 Tf 5.231 -20.898 Td [(call)]TJ 0 g 0 G [-1050(v%set\050alpha[,first,last]\051)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -9286,7 +9295,7 @@ BT 0 0 1 rg 0 0 1 RG [-250(1)]TJ 0 g 0 G - [(.)]TJ 1.018 0 0 1 99.895 217.975 Tm [(Note)-246(that)-246(a)-245(call)-246(to)]TJ/F145 9.9626 Tf 1 0 0 1 181.467 217.975 Tm [(v%zero\050\051)]TJ/F84 9.9626 Tf 1.018 0 0 1 225.803 217.975 Tm [(is)-246(pr)18(ovided)-246(as)-246(a)-246(shorth)1(a)-1(n)1(d,)-246(but)-246(is)-246(equivalent)-246(to)-246(a)]TJ 1.02 0 0 1 99.895 206.02 Tm [(call)-293(to)]TJ/F145 9.9626 Tf 1 0 0 1 130.212 206.02 Tm [(v%set\050zero\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 190.721 206.02 Tm [(with)-293(the)]TJ/F145 9.9626 Tf 1 0 0 1 231.423 206.02 Tm [(zero)]TJ/F84 9.9626 Tf 1.02 0 0 1 255.319 206.02 Tm [(constant)-293(having)-292(the)-293(appr)18(opriate)-293(type)-293(and)]TJ 1 0 0 1 99.895 194.064 Tm [(kind.)]TJ + [(.)]TJ 1.018 0 0 1 99.895 217.975 Tm [(Note)-246(that)-246(a)-245(call)-246(to)]TJ/F147 9.9626 Tf 1 0 0 1 181.467 217.975 Tm [(v%zero\050\051)]TJ/F84 9.9626 Tf 1.018 0 0 1 225.803 217.975 Tm [(is)-246(pr)18(ovided)-246(as)-246(a)-246(shorth)1(a)-1(n)1(d,)-246(but)-246(is)-246(equivalent)-246(to)-246(a)]TJ 1.02 0 0 1 99.895 206.02 Tm [(call)-293(to)]TJ/F147 9.9626 Tf 1 0 0 1 130.212 206.02 Tm [(v%set\050zero\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 190.721 206.02 Tm [(with)-293(the)]TJ/F147 9.9626 Tf 1 0 0 1 231.423 206.02 Tm [(zero)]TJ/F84 9.9626 Tf 1.02 0 0 1 255.319 206.02 Tm [(constant)-293(having)-292(the)-293(appr)18(opriate)-293(type)-293(and)]TJ 1 0 0 1 99.895 194.064 Tm [(kind.)]TJ 0 g 0 G /F75 9.9626 Tf 0 -25.91 Td [(On)-250(Return)]TJ 0 g 0 G @@ -9301,7 +9310,7 @@ ET endstream endobj -1134 0 obj +1135 0 obj << /Length 4797 >> @@ -9319,7 +9328,7 @@ BT /F75 9.9626 Tf 198.017 706.129 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 -/F145 9.9626 Tf -47.312 -19.66 Td [(extv)-525(=)-525(v%get_vect\050[n]\051)]TJ +/F147 9.9626 Tf -47.312 -19.66 Td [(extv)-525(=)-525(v%get_vect\050[n]\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -22.994 Td [(T)90(ype:)]TJ 0 g 0 G @@ -9344,7 +9353,7 @@ BT /F84 9.9626 Tf 1.02 0 0 1 223.093 495.259 Tm [(An)-283(allocatable)-283(array)-283(holding)-283(a)-282(copy)-283(of)-283(the)-283(dense)-283(vector)-283(con-)]TJ 1.002 0 0 1 175.611 483.304 Tm [(tents.)-310(If)-249(the)-250(ar)18(gument)]TJ/F78 9.9626 Tf 1 0 0 1 273.652 483.304 Tm [(n)]TJ/F84 9.9626 Tf 1.002 0 0 1 281.807 483.304 Tm [(is)-250(speci\002ed,)-249(the)-250(size)-250(of)-249(the)-250(r)18(eturned)-249(array)-250(equals)]TJ 1.02 0 0 1 175.611 471.349 Tm [(the)-299(minimum)-299(between)]TJ/F78 9.9626 Tf 1 0 0 1 281.747 471.349 Tm [(n)]TJ/F84 9.9626 Tf 1.02 0 0 1 290.45 471.349 Tm [(and)-299(the)-299(internal)-299(size)-299(of)-300(the)-299(vector)73(,)-313(or)-299(0)-299(if)]TJ/F78 9.9626 Tf 1 0 0 1 478.447 471.349 Tm [(n)]TJ/F84 9.9626 Tf 1.02 0 0 1 487.15 471.349 Tm [(is)]TJ 0.981 0 0 1 175.611 459.394 Tm [(negative;)-256(otherwise,)-255(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 1 175.611 447.438 Tm [(the)-250(vector)74(.)]TJ/F75 9.9626 Tf -24.906 -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 -/F145 9.9626 Tf 0 -19.659 Td [(call)-1050(x%clone\050y,info\051)]TJ +/F147 9.9626 Tf 0 -19.659 Td [(call)-1050(x%clone\050y,info\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -22.995 Td [(T)90(ype:)]TJ 0 g 0 G @@ -9366,25 +9375,25 @@ BT 0 g 0 G /F75 9.9626 Tf -10.132 -21.361 Td [(info)]TJ 0 g 0 G -/F84 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F75 11.9552 Tf -23.8 -31.176 Td [(3.4)-1000(Preconditioner)-250(data)-250(structure)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.705 192.416 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 1 150.705 180.46 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 1 165.649 168.146 Tm [(A)-258(pr)18(econditioner)-257(is)-258(held)-257(in)-258(the)]TJ/F145 9.9626 Tf 1 0 0 1 305.999 168.146 Tm [(psb)]TJ +/F84 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F75 11.9552 Tf -23.8 -31.176 Td [(3.4)-1000(Preconditioner)-250(data)-250(structure)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.705 192.416 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 1 150.705 180.46 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 1 165.649 168.146 Tm [(A)-258(pr)18(econditioner)-257(is)-258(held)-257(in)-258(the)]TJ/F147 9.9626 Tf 1 0 0 1 305.999 168.146 Tm [(psb)]TJ ET q 1 0 0 1 322.318 168.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 325.456 168.146 Td [(Tprec)]TJ +/F147 9.9626 Tf 325.456 168.146 Td [(Tprec)]TJ ET q 1 0 0 1 352.235 168.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 355.374 168.146 Td [(type)]TJ/F84 9.9626 Tf 1.02 0 0 1 378.912 168.146 Tm [(data)-258(str)8(uctur)18(e)-258(r)18(eported)-257(in)]TJ 0.994 0 0 1 150.705 156.191 Tm [(\002gur)18(e)]TJ +/F147 9.9626 Tf 355.374 168.146 Td [(type)]TJ/F84 9.9626 Tf 1.02 0 0 1 378.912 168.146 Tm [(data)-258(str)8(uctur)18(e)-258(r)18(eported)-257(in)]TJ 0.994 0 0 1 150.705 156.191 Tm [(\002gur)18(e)]TJ 0 0 1 rg 0 0 1 RG [-252(4)]TJ 0 g 0 G - [(.)-315(The)]TJ/F145 9.9626 Tf 1 0 0 1 208.773 156.191 Tm [(psb_Tprec_type)]TJ/F84 9.9626 Tf 0.994 0 0 1 284.498 156.191 Tm [(data)-252(type)-253(may)-252(contain)-253(a)-252(simple)-253(pr)18(econditioning)]TJ 1.02 0 0 1 150.705 144.236 Tm [(matrix)-255(with)-254(the)-255(associated)-255(communication)-254(descriptor)72(.)-333(The)-254(internal)-255(pr)18(econdi-)]TJ 1.02 0 0 1 150.705 132.281 Tm [(tioner)-249(is)-250(allocated)-249(appr)17(opriately)-249(with)-250(the)-249(dynamic)-250(type)-249(corr)17(esponding)-249(to)-250(the)]TJ 1 0 0 1 150.705 120.326 Tm [(desir)18(ed)-250(pr)18(econditioner)74(.)]TJ + [(.)-315(The)]TJ/F147 9.9626 Tf 1 0 0 1 208.773 156.191 Tm [(psb_Tprec_type)]TJ/F84 9.9626 Tf 0.994 0 0 1 284.498 156.191 Tm [(data)-252(type)-253(may)-252(contain)-253(a)-252(simple)-253(pr)18(econditioning)]TJ 1.02 0 0 1 150.705 144.236 Tm [(matrix)-255(with)-254(the)-255(associated)-255(communication)-254(descriptor)72(.)-333(The)-254(internal)-255(pr)18(econdi-)]TJ 1.02 0 0 1 150.705 132.281 Tm [(tioner)-249(is)-250(allocated)-249(appr)17(opriately)-249(with)-250(the)-249(dynamic)-250(type)-249(corr)17(esponding)-249(to)-250(the)]TJ 1 0 0 1 150.705 120.326 Tm [(desir)18(ed)-250(pr)18(econditioner)74(.)]TJ 0 g 0 G 166.874 -29.888 Td [(28)]TJ 0 g 0 G @@ -9392,7 +9401,7 @@ ET endstream endobj -1140 0 obj +1141 0 obj << /Length 4357 >> @@ -9412,7 +9421,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F233 8.9664 Tf 112.299 699.454 Td [(type)]TJ +/F235 8.9664 Tf 112.299 699.454 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 @@ -9449,46 +9458,46 @@ BT 0 g 0 G [(,)-272(we)-267(have)-266(a)-267(number)-267(of)-267(sorting)-266(utilities;)-278(the)]TJ 1 0 0 1 99.895 572.49 Tm 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9.9626 Tf 20.175 -11.955 Td [(call)]TJ +/F147 9.9626 Tf 20.175 -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 @@ -10787,28 +10796,28 @@ BT 0 g 0 G /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 31.432 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 1 124.802 388.49 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 -/F145 9.9626 Tf 1 0 0 1 369.545 388.49 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 369.545 388.49 Tm [(psb)]TJ ET q 1 0 0 1 385.864 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 389.002 388.49 Td [(T)]TJ +/F147 9.9626 Tf 389.002 388.49 Td [(T)]TJ ET q 1 0 0 1 394.86 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 397.998 388.49 Td [(vect)]TJ +/F147 9.9626 Tf 397.998 388.49 Td [(vect)]TJ ET q 1 0 0 1 419.547 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 422.685 388.49 Td [(type)]TJ +/F147 9.9626 Tf 422.685 388.49 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 1.02 0 0 1 124.802 376.535 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 @@ -10820,28 +10829,28 @@ BT 0 g 0 G /F84 9.9626 Tf 10.521 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 5.105 0 Td [(.)]TJ -166.164 -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 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>> @@ -11831,7 +11840,7 @@ ET endstream endobj -1250 0 obj +1251 0 obj << /Length 6755 >> @@ -11846,14 +11855,14 @@ q []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F75 11.9552 Tf 201.825 706.129 Td [(norm2)-250(\227)-250(2-Norm)-250(of)-250(V)111(ector)]TJ/F84 9.9626 Tf -51.429 -20.076 Td [(This)-250(function)-250(computes)-250(the)-250(2-norm)-250(of)-250(a)-250(vector)]TJ/F78 9.9626 Tf 206.349 0 Td [(x)]TJ/F84 9.9626 Tf 5.205 0 Td [(.)]TJ -211.245 -11.955 Td [(If)]TJ/F78 9.9626 Tf 9.459 0 Td [(x)]TJ/F84 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(2-norm)-250(as:)]TJ/F78 9.9626 Tf 122.551 -25.46 Td [(n)-15(r)-35(m)]TJ/F84 9.9626 Tf 17.788 0 Td [(2)]TJ/F190 10.3811 Tf 7.873 0 Td [(\040)]TJ 13.398 9.727 Td [(p)]TJ +/F75 11.9552 Tf 201.825 706.129 Td [(norm2)-250(\227)-250(2-Norm)-250(of)-250(V)111(ector)]TJ/F84 9.9626 Tf -51.429 -20.076 Td [(This)-250(function)-250(computes)-250(the)-250(2-norm)-250(of)-250(a)-250(vector)]TJ/F78 9.9626 Tf 206.349 0 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0 0 1 308.511 212.882 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 311.649 212.682 Td [(type)]TJ +/F147 9.9626 Tf 311.649 212.682 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -13399,28 +13408,28 @@ BT 0 g 0 G /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 31.432 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 1 124.802 144.236 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 -/F145 9.9626 Tf 1 0 0 1 369.545 144.236 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 369.545 144.236 Tm [(psb)]TJ ET q 1 0 0 1 385.864 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 389.002 144.236 Td [(T)]TJ +/F147 9.9626 Tf 389.002 144.236 Td [(T)]TJ ET q 1 0 0 1 394.86 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 397.998 144.236 Td [(vect)]TJ +/F147 9.9626 Tf 397.998 144.236 Td [(vect)]TJ ET q 1 0 0 1 419.547 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 422.685 144.236 Td [(type)]TJ +/F147 9.9626 Tf 422.685 144.236 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 1.015 0 0 1 124.802 132.281 Tm [(containing)-247(numbers)-246(of)-247(type)-247(speci\002ed)-246(in)-247(T)91(able)]TJ 0 0 1 rg 0 0 1 RG @@ -13434,7 +13443,7 @@ ET endstream endobj -1310 0 obj +1311 0 obj << /Length 6709 >> @@ -13445,7 +13454,7 @@ stream BT /F75 9.9626 Tf 150.705 706.129 Td [(beta)]TJ 0 g 0 G -/F84 9.9626 Tf 24.348 0 Td [(the)-250(scalar)]TJ/F147 9.9626 Tf 44.618 0 Td [(b)]TJ/F84 9.9626 Tf 5.524 0 Td [(.)]TJ -49.584 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 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Tf 448.807 591.891 Td [(vect)]TJ ET q 1 0 0 1 470.356 592.09 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 473.495 591.891 Td [(type)]TJ +/F147 9.9626 Tf 473.495 591.891 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 1.016 0 0 1 175.611 579.935 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 @@ -13495,21 +13504,21 @@ BT 0 g 0 G /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(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F147 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 501.762 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 327.311 501.563 Td [(desc)]TJ +/F147 9.9626 Tf 327.311 501.563 Td [(desc)]TJ ET q 1 0 0 1 348.86 501.762 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 351.998 501.563 Td [(type)]TJ +/F147 9.9626 Tf 351.998 501.563 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -13537,7 +13546,7 @@ BT 0 0 1 rg 0 0 1 RG [-250(3)]TJ 0 g 0 G - -45.878 -18.597 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 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F192 10.3811 Tf 25.193 0 Td [(=)]TJ/F78 9.9626 Tf 11.435 0 Td [(N)]TJ/F84 9.9626 Tf -75.268 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ + -45.878 -18.597 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 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F197 10.3811 Tf 25.193 0 Td [(=)]TJ/F78 9.9626 Tf 11.435 0 Td [(N)]TJ/F84 9.9626 Tf -75.268 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ 0 g 0 G /F75 9.9626 Tf -24.906 -18.596 Td [(work)]TJ 0 g 0 G @@ -13564,7 +13573,7 @@ ET endstream endobj -1316 0 obj +1317 0 obj << /Length 8135 >> @@ -13579,7 +13588,7 @@ q []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F75 11.9552 Tf 156.993 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F84 9.9626 Tf -57.406 -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/F190 10.3811 Tf 15.193 0 Td [(\040)]TJ/F147 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F190 7.8896 Tf 6.546 4.115 Td [(\000)]TJ/F84 7.5716 Tf 6.227 0 Td [(1)]TJ/F78 9.9626 Tf 4.578 -4.115 Td [(x)]TJ/F192 10.3811 Tf 7.267 0 Td [(+)]TJ/F147 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/F190 10.3811 Tf 15.193 0 Td [(\040)]TJ/F147 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.709 0 Td [(D)-48(T)]TJ/F190 7.8896 Tf 14.774 4.114 Td [(\000)]TJ/F84 7.5716 Tf 6.228 0 Td [(1)]TJ/F78 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F192 10.3811 Tf 7.267 0 Td [(+)]TJ/F147 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/F190 10.3811 Tf 15.193 0 Td [(\040)]TJ/F147 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F190 7.8896 Tf 6.546 4.114 Td [(\000)]TJ/F84 7.5716 Tf 6.227 0 Td [(1)]TJ/F78 9.9626 Tf 4.608 -4.114 Td [(D)-52(x)]TJ/F192 10.3811 Tf 15.536 0 Td [(+)]TJ/F147 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/F190 10.3811 Tf 15.193 0 Td [(\040)]TJ/F147 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F190 7.8896 Tf 6.546 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/F192 10.3811 Tf 7.267 0 Td [(+)]TJ/F147 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/F190 10.3811 Tf 15.193 0 Td [(\040)]TJ/F147 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.709 0 Td [(D)-48(T)]TJ/F190 7.8896 Tf 14.774 4.114 Td [(\000)]TJ/F78 7.5716 Tf 6.421 0 Td [(T)]TJ/F78 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F192 10.3811 Tf 7.267 0 Td [(+)]TJ/F147 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.648 0 Td [(y)]TJ -91.804 -16.09 Td [(y)]TJ/F190 10.3811 Tf 15.193 0 Td [(\040)]TJ/F147 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F190 7.8896 Tf 6.546 4.114 Td [(\000)]TJ/F78 7.5716 Tf 6.42 0 Td [(T)]TJ/F78 9.9626 Tf 5.725 -4.114 Td [(D)-52(x)]TJ/F192 10.3811 Tf 15.536 0 Td [(+)]TJ/F147 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.648 0 Td [(y)]TJ -91.804 -16.091 Td [(y)]TJ/F190 10.3811 Tf 15.193 0 Td [(\040)]TJ/F147 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F190 7.8896 Tf 6.546 4.115 Td [(\000)]TJ/F78 7.5716 Tf 6.609 0 Td [(H)]TJ/F78 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F192 10.3811 Tf 7.267 0 Td [(+)]TJ/F147 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F190 10.3811 Tf 15.193 0 Td [(\040)]TJ/F147 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.709 0 Td [(D)-48(T)]TJ/F190 7.8896 Tf 14.774 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/F192 10.3811 Tf 7.267 0 Td [(+)]TJ/F147 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F190 10.3811 Tf 15.193 0 Td [(\040)]TJ/F147 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F190 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/F192 10.3811 Tf 15.536 0 Td [(+)]TJ/F147 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ/F84 9.9626 Tf -201.062 -38.202 Td [(wher)18(e:)]TJ +/F75 11.9552 Tf 156.993 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F84 9.9626 Tf -57.406 -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/F195 10.3811 Tf 15.193 0 Td [(\040)]TJ/F151 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F195 7.8896 Tf 6.546 4.115 Td [(\000)]TJ/F84 7.5716 Tf 6.227 0 Td [(1)]TJ/F78 9.9626 Tf 4.578 -4.115 Td [(x)]TJ/F197 10.3811 Tf 7.267 0 Td [(+)]TJ/F151 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/F195 10.3811 Tf 15.193 0 Td [(\040)]TJ/F151 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.709 0 Td [(D)-48(T)]TJ/F195 7.8896 Tf 14.774 4.114 Td [(\000)]TJ/F84 7.5716 Tf 6.228 0 Td [(1)]TJ/F78 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F197 10.3811 Tf 7.267 0 Td [(+)]TJ/F151 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/F195 10.3811 Tf 15.193 0 Td [(\040)]TJ/F151 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F195 7.8896 Tf 6.546 4.114 Td [(\000)]TJ/F84 7.5716 Tf 6.227 0 Td [(1)]TJ/F78 9.9626 Tf 4.608 -4.114 Td [(D)-52(x)]TJ/F197 10.3811 Tf 15.536 0 Td [(+)]TJ/F151 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/F195 10.3811 Tf 15.193 0 Td [(\040)]TJ/F151 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F195 7.8896 Tf 6.546 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/F197 10.3811 Tf 7.267 0 Td [(+)]TJ/F151 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/F195 10.3811 Tf 15.193 0 Td [(\040)]TJ/F151 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.709 0 Td [(D)-48(T)]TJ/F195 7.8896 Tf 14.774 4.114 Td [(\000)]TJ/F78 7.5716 Tf 6.421 0 Td [(T)]TJ/F78 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F197 10.3811 Tf 7.267 0 Td [(+)]TJ/F151 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.648 0 Td [(y)]TJ -91.804 -16.09 Td [(y)]TJ/F195 10.3811 Tf 15.193 0 Td [(\040)]TJ/F151 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F195 7.8896 Tf 6.546 4.114 Td [(\000)]TJ/F78 7.5716 Tf 6.42 0 Td [(T)]TJ/F78 9.9626 Tf 5.725 -4.114 Td [(D)-52(x)]TJ/F197 10.3811 Tf 15.536 0 Td [(+)]TJ/F151 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.648 0 Td [(y)]TJ -91.804 -16.091 Td [(y)]TJ/F195 10.3811 Tf 15.193 0 Td [(\040)]TJ/F151 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F195 7.8896 Tf 6.546 4.115 Td [(\000)]TJ/F78 7.5716 Tf 6.609 0 Td [(H)]TJ/F78 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F197 10.3811 Tf 7.267 0 Td [(+)]TJ/F151 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F195 10.3811 Tf 15.193 0 Td [(\040)]TJ/F151 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.709 0 Td [(D)-48(T)]TJ/F195 7.8896 Tf 14.774 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/F197 10.3811 Tf 7.267 0 Td [(+)]TJ/F151 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F195 10.3811 Tf 15.193 0 Td [(\040)]TJ/F151 9.9626 Tf 20.592 0 Td [(a)]TJ/F78 9.9626 Tf 5.639 0 Td [(T)]TJ/F195 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/F197 10.3811 Tf 15.536 0 Td [(+)]TJ/F151 9.9626 Tf 10.505 0 Td [(b)]TJ/F78 9.9626 Tf 5.649 0 Td [(y)]TJ/F84 9.9626 Tf -201.062 -38.202 Td [(wher)18(e:)]TJ 0 g 0 G /F78 9.9626 Tf -14.65 -21.265 Td [(x)]TJ 0 g 0 G @@ -13599,7 +13608,7 @@ BT 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 -/F145 9.9626 Tf 6.895 -21.266 Td [(call)]TJ +/F147 9.9626 Tf 6.895 -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 @@ -13668,7 +13677,7 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F78 9.9626 Tf 185.814 330.871 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 5.205 0 Td [(,)]TJ/F78 9.9626 Tf 5.106 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(,)]TJ/F78 9.9626 Tf 5.305 0 Td [(D)]TJ/F84 9.9626 Tf 7.975 0 Td [(,)]TJ/F147 9.9626 Tf 5.106 0 Td [(a)]TJ/F84 9.9626 Tf 5.385 0 Td [(,)]TJ/F147 9.9626 Tf 5.355 0 Td [(b)]TJ/F75 9.9626 Tf 64.392 0 Td [(Subroutine)]TJ +/F78 9.9626 Tf 185.814 330.871 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 5.205 0 Td [(,)]TJ/F78 9.9626 Tf 5.106 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(,)]TJ/F78 9.9626 Tf 5.305 0 Td [(D)]TJ/F84 9.9626 Tf 7.975 0 Td [(,)]TJ/F151 9.9626 Tf 5.106 0 Td [(a)]TJ/F84 9.9626 Tf 5.385 0 Td [(,)]TJ/F151 9.9626 Tf 5.355 0 Td [(b)]TJ/F75 9.9626 Tf 64.392 0 Td [(Subroutine)]TJ ET q 1 0 0 1 179.582 327.085 cm @@ -13724,7 +13733,7 @@ BT 0 g 0 G 0 -21.713 Td [(alpha)]TJ 0 g 0 G -/F84 9.9626 Tf 30.436 0 Td [(the)-250(scalar)]TJ/F147 9.9626 Tf 44.368 0 Td [(a)]TJ/F84 9.9626 Tf 5.385 0 Td [(.)]TJ -55.282 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]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(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F84 9.9626 Tf 30.436 0 Td [(the)-250(scalar)]TJ/F151 9.9626 Tf 44.368 0 Td [(a)]TJ/F84 9.9626 Tf 5.385 0 Td [(.)]TJ -55.282 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]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(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 @@ -13736,7 +13745,7 @@ ET endstream endobj -1327 0 obj +1328 0 obj << /Length 7465 >> @@ -13757,28 +13766,28 @@ BT 0 g 0 G /F84 9.9626 Tf 9.962 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F78 9.9626 Tf 175.615 0 Td [(x)]TJ/F84 9.9626 Tf 5.205 0 Td [(.)]TJ -165.876 -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 1 175.611 589.838 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 -/F145 9.9626 Tf 1 0 0 1 420.354 589.838 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 420.354 589.838 Tm [(psb)]TJ ET q 1 0 0 1 436.673 590.037 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 439.811 589.838 Td [(T)]TJ +/F147 9.9626 Tf 439.811 589.838 Td [(T)]TJ ET q 1 0 0 1 445.669 590.037 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 448.807 589.838 Td [(vect)]TJ +/F147 9.9626 Tf 448.807 589.838 Td [(vect)]TJ ET q 1 0 0 1 470.356 590.037 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 473.495 589.838 Td [(type)]TJ +/F147 9.9626 Tf 473.495 589.838 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 1.015 0 0 1 175.611 577.883 Tm [(containing)-247(numbers)-246(of)-247(type)-247(speci\002ed)-246(in)-247(T)90(able)]TJ 0 0 1 rg 0 0 1 RG @@ -13788,7 +13797,7 @@ BT 0 g 0 G /F75 9.9626 Tf -82.958 -20.649 Td [(beta)]TJ 0 g 0 G -/F84 9.9626 Tf 24.348 0 Td [(the)-250(scalar)]TJ/F147 9.9626 Tf 44.618 0 Td [(b)]TJ/F84 9.9626 Tf 5.524 0 Td [(.)]TJ -49.584 -11.956 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 -11.955 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 +/F84 9.9626 Tf 24.348 0 Td [(the)-250(scalar)]TJ/F151 9.9626 Tf 44.618 0 Td [(b)]TJ/F84 9.9626 Tf 5.524 0 Td [(.)]TJ -49.584 -11.956 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 -11.955 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 @@ -13798,28 +13807,28 @@ BT 0 g 0 G /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 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 0 Td [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ 0.98 0 0 1 175.611 428.986 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 -/F145 9.9626 Tf 1 0 0 1 420.354 428.986 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 420.354 428.986 Tm [(psb)]TJ ET q 1 0 0 1 436.673 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 439.811 428.986 Td [(T)]TJ +/F147 9.9626 Tf 439.811 428.986 Td [(T)]TJ ET q 1 0 0 1 445.669 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 448.807 428.986 Td [(vect)]TJ +/F147 9.9626 Tf 448.807 428.986 Td [(vect)]TJ ET q 1 0 0 1 470.356 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 473.495 428.986 Td [(type)]TJ +/F147 9.9626 Tf 473.495 428.986 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 1.016 0 0 1 175.611 417.031 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 @@ -13838,21 +13847,21 @@ BT 0 g 0 G /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 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F147 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 336.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 327.311 336.605 Td [(desc)]TJ +/F147 9.9626 Tf 327.311 336.605 Td [(desc)]TJ ET q 1 0 0 1 348.86 336.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 351.998 336.605 Td [(type)]TJ +/F147 9.9626 Tf 351.998 336.605 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -13870,7 +13879,7 @@ BT 0 g 0 G /F75 9.9626 Tf -50.869 -16.302 Td [(trans)-250(=)-250('C')]TJ 0 g 0 G -/F84 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 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 -11.956 Td [(Default:)]TJ/F78 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F192 10.3811 Tf 25.193 0 Td [(=)]TJ/F78 9.9626 Tf 11.435 0 Td [(N)]TJ/F84 9.9626 Tf -75.268 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ +/F84 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 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 -11.956 Td [(Default:)]TJ/F78 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F197 10.3811 Tf 25.193 0 Td [(=)]TJ/F78 9.9626 Tf 11.435 0 Td [(N)]TJ/F84 9.9626 Tf -75.268 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ 0 g 0 G /F75 9.9626 Tf -24.906 -20.65 Td [(unitd)]TJ 0 g 0 G @@ -13894,7 +13903,7 @@ ET endstream endobj -1333 0 obj +1334 0 obj << /Length 4640 >> @@ -13902,14 +13911,14 @@ stream 0 g 0 G 0 g 0 G BT -/F84 9.9626 Tf 124.802 706.129 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]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 -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 [(Default:)]TJ/F78 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F192 10.3811 Tf 26.159 0 Td [(=)]TJ/F78 9.9626 Tf 10.927 0 Td [(U)]TJ/F84 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ +/F84 9.9626 Tf 124.802 706.129 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]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 -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 [(Default:)]TJ/F78 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F197 10.3811 Tf 26.159 0 Td [(=)]TJ/F78 9.9626 Tf 10.927 0 Td [(U)]TJ/F84 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ 0 g 0 G /F75 9.9626 Tf -24.907 -19.925 Td [(choice)]TJ 0 g 0 G /F84 9.9626 Tf 33.754 0 Td [(speci\002es)-250(the)-250(update)-250(of)-250(overlap)-250(elements)-250(to)-250(be)-250(performed)-250(on)-250(exit:)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -3.866 -19.925 Td [(psb_none_)]TJ +/F147 9.9626 Tf -3.866 -19.925 Td [(psb_none_)]TJ 0 g 0 G 0 g 0 G 0 -15.941 Td [(psb_sum_)]TJ @@ -13918,11 +13927,11 @@ BT 0 -15.94 Td [(psb_avg_)]TJ 0 g 0 G 0 g 0 G - 0 -15.94 Td [(psb_square_root_)]TJ/F84 9.9626 Tf -4.981 -19.925 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]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 -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 [(Default:)]TJ/F145 9.9626 Tf 38.515 0 Td [(psb_avg_)]TJ/F84 9.9626 Tf -38.515 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ + 0 -15.94 Td [(psb_square_root_)]TJ/F84 9.9626 Tf -4.981 -19.925 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]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 -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 [(Default:)]TJ/F147 9.9626 Tf 38.515 0 Td [(psb_avg_)]TJ/F84 9.9626 Tf -38.515 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ 0 g 0 G /F75 9.9626 Tf -24.907 -19.925 Td [(diag)]TJ 0 g 0 G -/F84 9.9626 Tf 24.907 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -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 [(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 [(Default:)]TJ/F78 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F192 10.3811 Tf 18.52 0 Td [(\050)]TJ/F84 9.9626 Tf 4.149 0 Td [(1)]TJ/F192 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F84 9.9626 Tf 18.003 0 Td [(1)]TJ/F192 10.3811 Tf 5.106 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F192 10.3811 Tf 41.384 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 124.802 423.19 Tm [(Speci\002ed)-253(as:)-316(a)-253(rank)-254(one)-253(array)-254(containing)-253(numbers)-253(of)-254(the)-253(type)-254(indicated)-253(in)]TJ 1 0 0 1 124.493 411.235 Tm [(T)92(able)]TJ +/F84 9.9626 Tf 24.907 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -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 [(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 [(Default:)]TJ/F78 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F197 10.3811 Tf 18.52 0 Td [(\050)]TJ/F84 9.9626 Tf 4.149 0 Td [(1)]TJ/F197 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F84 9.9626 Tf 18.003 0 Td [(1)]TJ/F197 10.3811 Tf 5.106 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F197 10.3811 Tf 41.384 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 124.802 423.19 Tm [(Speci\002ed)-253(as:)-316(a)-253(rank)-254(one)-253(array)-254(containing)-253(numbers)-253(of)-254(the)-253(type)-254(indicated)-253(in)]TJ 1 0 0 1 124.493 411.235 Tm [(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(13)]TJ 0 g 0 G @@ -13953,9 +13962,9 @@ ET endstream endobj -1344 0 obj +1345 0 obj << -/Length 7721 +/Length 7818 >> stream 0 g 0 G @@ -13968,7 +13977,7 @@ q []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F75 11.9552 Tf 207.803 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F84 9.9626 Tf -57.407 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F78 9.9626 Tf 299.677 0 Td [(x)]TJ/F84 9.9626 Tf 7.696 0 Td [(and)]TJ/F78 9.9626 Tf 19.482 0 Td [(y)]TJ -187.61 -21.112 Td [(d)-25(o)-35(t)]TJ/F190 10.3811 Tf 16.337 0 Td [(\040)]TJ/F78 9.9626 Tf 13.566 0 Td [(x)]TJ/F192 10.3811 Tf 5.33 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F78 9.9626 Tf 4.274 0 Td [(y)]TJ/F192 10.3811 Tf 5.23 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 3.089 0 Td [(\051)]TJ/F84 9.9626 Tf 4.149 0 Td [(.)]TJ/F145 9.9626 Tf -187.464 -21.111 Td [(psb_gemlt\050x,)]TJ +/F75 11.9552 Tf 207.803 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F84 9.9626 Tf -57.407 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F78 9.9626 Tf 299.677 0 Td [(x)]TJ/F84 9.9626 Tf 7.696 0 Td [(and)]TJ/F78 9.9626 Tf 19.482 0 Td [(y)]TJ -189.224 -21.112 Td [(y)]TJ/F197 10.3811 Tf 5.231 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F195 10.3811 Tf 7.042 0 Td [(\040)]TJ/F78 9.9626 Tf 13.566 0 Td [(x)]TJ/F197 10.3811 Tf 5.33 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F78 9.9626 Tf 4.274 0 Td [(y)]TJ/F197 10.3811 Tf 5.23 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.089 0 Td [(\051)]TJ/F84 9.9626 Tf 4.149 0 Td [(.)]TJ/F147 9.9626 Tf -189.078 -21.111 Td [(psb_gemlt\050x,)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G [-525(y,)]TJ @@ -14045,28 +14054,28 @@ BT 0 g 0 G /F84 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F78 9.9626 Tf 174.059 0 Td [(x)]TJ/F84 9.9626 Tf 5.206 0 Td [(.)]TJ -164.321 -11.955 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 1.02 0 0 1 175.611 421.578 Tm [(Speci\002ed)-306(as:)-425(an)-306(object)-306(of)-306(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 1 0 0 1 314.513 421.578 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 314.513 421.578 Tm [(psb)]TJ ET q 1 0 0 1 330.831 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 333.969 421.578 Td [(T)]TJ +/F147 9.9626 Tf 333.969 421.578 Td [(T)]TJ ET q 1 0 0 1 339.827 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 342.966 421.578 Td [(vect)]TJ +/F147 9.9626 Tf 342.966 421.578 Td [(vect)]TJ ET q 1 0 0 1 364.515 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 367.653 421.578 Td [(type)]TJ +/F147 9.9626 Tf 367.653 421.578 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 1.02 0 0 1 391.683 421.578 Tm [(containing)-306(numbers)-306(of)]TJ 1 0 0 1 175.611 409.623 Tm [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG @@ -14078,28 +14087,28 @@ BT 0 g 0 G /F84 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F78 9.9626 Tf 173.891 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(.)]TJ -164.611 -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 1.02 0 0 1 175.611 342.199 Tm [(Speci\002ed)-306(as:)-425(an)-306(object)-306(of)-306(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 1 0 0 1 314.513 342.199 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 314.513 342.199 Tm [(psb)]TJ ET q 1 0 0 1 330.831 342.398 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 333.969 342.199 Td [(T)]TJ +/F147 9.9626 Tf 333.969 342.199 Td [(T)]TJ ET q 1 0 0 1 339.827 342.398 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 342.966 342.199 Td [(vect)]TJ +/F147 9.9626 Tf 342.966 342.199 Td [(vect)]TJ ET q 1 0 0 1 364.515 342.398 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 367.653 342.199 Td [(type)]TJ +/F147 9.9626 Tf 367.653 342.199 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 1.02 0 0 1 391.683 342.199 Tm [(containing)-306(numbers)-306(of)]TJ 1 0 0 1 175.611 330.244 Tm [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG @@ -14118,21 +14127,21 @@ BT 0 g 0 G /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 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F147 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 263.02 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 327.311 262.82 Td [(desc)]TJ +/F147 9.9626 Tf 327.311 262.82 Td [(desc)]TJ ET q 1 0 0 1 348.86 263.02 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 351.998 262.82 Td [(type)]TJ +/F147 9.9626 Tf 351.998 262.82 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -14143,28 +14152,28 @@ BT 0 g 0 G /F84 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F78 9.9626 Tf 160.68 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(.)]TJ -151.4 -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 [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ 0.98 0 0 1 175.611 175.794 Tm [(Speci\002ed)-240(as:)-309(an)-240(object)-240(of)-240(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 1 0 0 1 304.709 175.794 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 304.709 175.794 Tm [(psb)]TJ ET q 1 0 0 1 321.027 175.993 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 324.166 175.794 Td [(T)]TJ +/F147 9.9626 Tf 324.166 175.794 Td [(T)]TJ ET q 1 0 0 1 330.023 175.993 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 333.162 175.794 Td [(vect)]TJ +/F147 9.9626 Tf 333.162 175.794 Td [(vect)]TJ ET q 1 0 0 1 354.711 175.993 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 357.849 175.794 Td [(type)]TJ +/F147 9.9626 Tf 357.849 175.794 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 0.98 0 0 1 381.113 175.794 Tm [(containing)-240(numbers)-240(of)-240(the)]TJ 1 0 0 1 175.611 163.839 Tm [(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG @@ -14182,7 +14191,7 @@ ET endstream endobj -1349 0 obj +1350 0 obj << /Length 312 >> @@ -14198,9 +14207,9 @@ ET endstream endobj -1361 0 obj +1362 0 obj << -/Length 7700 +/Length 7795 >> stream 0 g 0 G @@ -14213,7 +14222,7 @@ q []0 d 0 J 0.398 w 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9.9626 Tf 174.059 0 Td [(x)]TJ/F84 9.9626 Tf 5.206 0 Td [(.)]TJ -164.321 -11.955 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 1.02 0 0 1 175.611 421.578 Tm [(Speci\002ed)-306(as:)-425(an)-306(object)-306(of)-306(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 1 0 0 1 314.513 421.578 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 314.513 421.578 Tm [(psb)]TJ ET q 1 0 0 1 330.831 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 333.969 421.578 Td [(T)]TJ +/F147 9.9626 Tf 333.969 421.578 Td [(T)]TJ ET q 1 0 0 1 339.827 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 342.966 421.578 Td [(vect)]TJ +/F147 9.9626 Tf 342.966 421.578 Td [(vect)]TJ ET q 1 0 0 1 364.515 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 367.653 421.578 Td [(type)]TJ +/F147 9.9626 Tf 367.653 421.578 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 1.02 0 0 1 391.683 421.578 Tm [(containing)-306(numbers)-306(of)]TJ 1 0 0 1 175.611 409.623 Tm [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG @@ -14326,28 +14335,28 @@ BT 0 g 0 G /F84 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F78 9.9626 Tf 173.891 0 Td [(y)]TJ/F84 9.9626 Tf 5.106 0 Td [(.)]TJ -164.611 -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 1.02 0 0 1 175.611 342.199 Tm [(Speci\002ed)-306(as:)-425(an)-306(object)-306(of)-306(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 1 0 0 1 314.513 342.199 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 314.513 342.199 Tm [(psb)]TJ ET q 1 0 0 1 330.831 342.398 cm []0 d 0 J 0.398 w 0 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[(0,)-252(and)-252(in)-252(case)-252(r)19(eturns)-252(err)18(or)-252(halting)-252(the)-252(computa-)]TJ 1 0 0 1 175.611 231.262 Tm [(tion.)]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 40.677 0 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -108.662 -11.955 Td [(Speci\002ed)-250(as:)-310(the)-250(logical)-250(value)]TJ/F145 9.9626 Tf 132.133 0 Td [(flag)]TJ +/F84 9.9626 Tf 0.994 0 0 1 172.294 243.218 Tm [(check)-252(if)-252(any)-252(of)-251(the)]TJ/F78 9.9626 Tf 1 0 0 1 254.535 243.218 Tm [(y)]TJ/F197 10.3811 Tf 5.231 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)-290(=)]TJ/F84 9.9626 Tf 0.994 0 0 1 285.074 243.218 Tm [(0,)-252(and)-252(in)-252(case)-252(r)19(eturns)-252(err)18(or)-252(halting)-252(the)-252(computa-)]TJ 1 0 0 1 175.611 231.262 Tm [(tion.)]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 40.677 0 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ -108.662 -11.955 Td [(Speci\002ed)-250(as:)-310(the)-250(logical)-250(value)]TJ/F147 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 @@ -14405,7 +14414,7 @@ ET endstream endobj -1366 0 obj +1367 0 obj << /Length 1343 >> @@ -14415,28 +14424,28 @@ stream BT /F84 9.9626 Tf 0.98 0 0 1 124.802 706.129 Tm [(Speci\002ed)-240(as:)-309(an)-240(object)-240(of)-240(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 1 0 0 1 253.899 706.129 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 253.899 706.129 Tm [(psb)]TJ ET q 1 0 0 1 270.218 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 273.356 706.129 Td [(T)]TJ +/F147 9.9626 Tf 273.356 706.129 Td [(T)]TJ ET q 1 0 0 1 279.214 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 282.352 706.129 Td [(vect)]TJ +/F147 9.9626 Tf 282.352 706.129 Td [(vect)]TJ ET q 1 0 0 1 303.901 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 307.039 706.129 Td [(type)]TJ +/F147 9.9626 Tf 307.039 706.129 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 0.98 0 0 1 330.304 706.129 Tm [(containing)-240(numbers)-240(of)-240(the)]TJ 1 0 0 1 124.802 694.174 Tm [(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG @@ -14454,9 +14463,9 @@ ET endstream endobj -1375 0 obj +1376 0 obj << -/Length 7612 +/Length 7704 >> stream 0 g 0 G @@ -14469,7 +14478,7 @@ q []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F75 11.9552 Tf 207.803 706.129 Td [(geinv)-250(\227)-250(Entrywise)-250(Inversion)]TJ/F84 9.9626 Tf -57.407 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(inverse)-250(of)-250(a)-250(vector)]TJ/F78 9.9626 Tf 252.096 0 Td [(x)]TJ/F84 9.9626 Tf 7.696 0 Td [(and)-250(puts)-250(it)-250(into)]TJ/F78 9.9626 Tf 69.952 0 Td [(y)]TJ/F84 9.9626 Tf -184.093 -18.334 Td [(/)]TJ/F190 10.3811 Tf 9.054 0 Td [(\040)]TJ/F84 9.9626 Tf 13.273 0 Td [(1)-12(/)]TJ/F78 9.9626 Tf 11.562 0 Td [(x)]TJ/F192 10.3811 Tf 5.329 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 4.149 0 Td [(.)]TJ/F145 9.9626 Tf -181.058 -18.334 Td [(psb_geinv\050x,)]TJ +/F75 11.9552 Tf 207.803 706.129 Td [(geinv)-250(\227)-250(Entrywise)-250(Inversion)]TJ/F84 9.9626 Tf -57.407 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(inverse)-250(of)-250(a)-250(vector)]TJ/F78 9.9626 Tf 252.096 0 Td [(x)]TJ/F84 9.9626 Tf 7.696 0 Td [(and)-250(puts)-250(it)-250(into)]TJ/F78 9.9626 Tf 69.952 0 Td [(y)]TJ -189.348 -18.334 Td [(y)]TJ/F197 10.3811 Tf 5.23 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F195 10.3811 Tf 7.041 0 Td [(\040)]TJ/F84 9.9626 Tf 13.273 0 Td [(1)-13(/)]TJ/F78 9.9626 Tf 11.562 0 Td [(x)]TJ/F197 10.3811 Tf 5.33 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 4.15 0 Td [(.)]TJ/F147 9.9626 Tf -186.314 -18.334 Td [(psb_geinv\050x,)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG 0 g 0 G [-525(y,)]TJ @@ -14549,28 +14558,28 @@ BT 0 g 0 G /F84 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F78 9.9626 Tf 174.059 0 Td [(x)]TJ/F84 9.9626 Tf 5.206 0 Td [(.)]TJ -164.321 -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 1.02 0 0 1 175.611 434.356 Tm [(Speci\002ed)-306(as:)-425(an)-306(object)-306(of)-306(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 1 0 0 1 314.513 434.356 Tm [(psb)]TJ +/F147 9.9626 Tf 1 0 0 1 314.513 434.356 Tm [(psb)]TJ ET q 1 0 0 1 330.831 434.555 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 333.969 434.356 Td [(T)]TJ +/F147 9.9626 Tf 333.969 434.356 Td [(T)]TJ ET q 1 0 0 1 339.827 434.555 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 342.966 434.356 Td [(vect)]TJ +/F147 9.9626 Tf 342.966 434.356 Td [(vect)]TJ ET q 1 0 0 1 364.515 434.555 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 367.653 434.356 Td [(type)]TJ +/F147 9.9626 Tf 367.653 434.356 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 1.02 0 0 1 391.683 434.356 Tm [(containing)-306(numbers)-306(of)]TJ 1 0 0 1 175.611 422.401 Tm [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG @@ -14589,27 +14598,27 @@ BT 0 g 0 G /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 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162.678 0 Td [(.false.)]TJ +/F84 9.9626 Tf 59.765 0 Td [(Data)-250(allocation:)-310(do)-250(global)-250(checks)-250(on)-250(the)-250(local)-250(index)-250(lists)]TJ/F147 9.9626 Tf 247.788 0 Td [(vl)]TJ/F84 9.9626 Tf -282.647 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 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 23.999 0 Td [(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(.)]TJ -61.878 -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(logical)-250(value,)-250(default:)]TJ/F147 9.9626 Tf 162.678 0 Td [(.false.)]TJ 0 g 0 G /F75 9.9626 Tf -187.584 -20.135 Td [(lidx)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 173.39 478.351 Tm [(Data)-273(allocation:)-361(the)-274(set)-273(of)-274(local)-273(indices)]TJ/F78 9.9626 Tf 1 0 0 1 349.9 478.351 Tm [(l)-48(i)-32(d)-42(x)]TJ/F192 10.3811 Tf 17.066 0 Td [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 371.116 478.351 Tm [(1)]TJ 1 0 0 1 379.623 478.351 Tm [(:)]TJ/F78 9.9626 Tf 6.042 0 Td [(n)-25(l)]TJ/F192 10.3811 Tf 9.106 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 401.699 478.351 Tm [(to)-274(be)-273(assigned)-274(to)-273(the)]TJ 1 0 0 1 175.611 466.396 Tm [(global)-250(indices)]TJ/F78 9.9626 Tf 63.477 0 Td [(v)-25(l)]TJ/F84 9.9626 Tf 8.423 0 Td [(.)]TJ -71.9 -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 [(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(integer)-250(array)111(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 173.39 478.351 Tm [(Data)-273(allocation:)-361(the)-274(set)-273(of)-274(local)-273(indices)]TJ/F78 9.9626 Tf 1 0 0 1 349.9 478.351 Tm [(l)-48(i)-32(d)-42(x)]TJ/F197 10.3811 Tf 17.066 0 Td [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 371.116 478.351 Tm [(1)]TJ 1 0 0 1 379.623 478.351 Tm [(:)]TJ/F78 9.9626 Tf 6.042 0 Td [(n)-25(l)]TJ/F197 10.3811 Tf 9.106 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 401.699 478.351 Tm [(to)-274(be)-273(assigned)-274(to)-273(the)]TJ 1 0 0 1 175.611 466.396 Tm [(global)-250(indices)]TJ/F78 9.9626 Tf 63.477 0 Td [(v)-25(l)]TJ/F84 9.9626 Tf 8.423 0 Td [(.)]TJ -71.9 -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 [(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(integer)-250(array)111(.)]TJ 0 g 0 G /F75 9.9626 Tf -24.906 -22.128 Td [(On)-250(Return)]TJ 0 g 0 G @@ -17035,21 +17044,21 @@ BT 0 g 0 G /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 [(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 -/F145 9.9626 Tf 168.137 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.137 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 328.692 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 363.206 328.492 Td [(desc)]TJ +/F147 9.9626 Tf 363.206 328.492 Td [(desc)]TJ ET q 1 0 0 1 384.755 328.692 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 387.893 328.492 Td [(type)]TJ +/F147 9.9626 Tf 387.893 328.492 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -17059,14 +17068,14 @@ BT 0 g 0 G /F84 9.9626 Tf 12.453 -20.082 Td [(1.)]TJ 0 g 0 G - 0.98 0 0 1 175.611 218.327 Tm [(One)-236(of)-236(the)-235(optional)-236(ar)18(guments)]TJ/F145 9.9626 Tf 1 0 0 1 309.412 218.327 Tm [(parts)]TJ/F84 9.9626 Tf 0.98 0 0 1 335.564 218.327 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 340.344 218.327 Tm [(vg)]TJ/F84 9.9626 Tf 0.98 0 0 1 350.805 218.327 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 355.585 218.327 Tm [(vl)]TJ/F84 9.9626 Tf 0.98 0 0 1 366.046 218.327 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 370.827 218.327 Tm [(nl)]TJ/F84 9.9626 Tf 0.98 0 0 1 383.589 218.327 Tm [(or)]TJ/F145 9.9626 Tf 1 0 0 1 395.078 218.327 Tm [(repl)]TJ/F84 9.9626 Tf 0.98 0 0 1 418.302 218.327 Tm [(must)-236(be)-235(speci\002ed,)]TJ 1 0 0 1 175.611 206.371 Tm [(ther)18(eby)-250(choosing)-250(the)-250(initialization)-250(strategy)-250(as)-250(follows:)]TJ + 0.98 0 0 1 175.611 218.327 Tm [(One)-236(of)-236(the)-235(optional)-236(ar)18(guments)]TJ/F147 9.9626 Tf 1 0 0 1 309.412 218.327 Tm [(parts)]TJ/F84 9.9626 Tf 0.98 0 0 1 335.564 218.327 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 340.344 218.327 Tm [(vg)]TJ/F84 9.9626 Tf 0.98 0 0 1 350.805 218.327 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 355.585 218.327 Tm [(vl)]TJ/F84 9.9626 Tf 0.98 0 0 1 366.046 218.327 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 370.827 218.327 Tm [(nl)]TJ/F84 9.9626 Tf 0.98 0 0 1 383.589 218.327 Tm [(or)]TJ/F147 9.9626 Tf 1 0 0 1 395.078 218.327 Tm [(repl)]TJ/F84 9.9626 Tf 0.98 0 0 1 418.302 218.327 Tm [(must)-236(be)-235(speci\002ed,)]TJ 1 0 0 1 175.611 206.371 Tm [(ther)18(eby)-250(choosing)-250(the)-250(initialization)-250(strategy)-250(as)-250(follows:)]TJ 0 g 0 G /F75 9.9626 Tf 0 -20.135 Td [(parts)]TJ 0 g 0 G -/F84 9.9626 Tf 0.997 0 0 1 203.278 186.236 Tm [(In)-251(this)-251(case)-251(we)-251(have)-251(a)-251(sub)1(r)18(outine)-251(specifying)-251(the)-251(mapping)-251(between)]TJ 1.02 0 0 1 197.529 174.281 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 1 197.529 162.326 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/F145 9.9626 Tf 1 0 0 1 472.343 162.326 Tm [(mg)]TJ/F84 9.9626 Tf 0.991 0 0 1 485.293 162.326 Tm [(as)]TJ 1 0 0 1 197.111 150.371 Tm [(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 1 203.278 186.236 Tm [(In)-251(this)-251(case)-251(we)-251(have)-251(a)-251(sub)1(r)18(outine)-251(specifying)-251(the)-251(mapping)-251(between)]TJ 1.02 0 0 1 197.529 174.281 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 1 197.529 162.326 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/F147 9.9626 Tf 1 0 0 1 472.343 162.326 Tm [(mg)]TJ/F84 9.9626 Tf 0.991 0 0 1 485.293 162.326 Tm [(as)]TJ 1 0 0 1 197.111 150.371 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 -/F145 9.9626 Tf 10.879 -18.09 Td [(interface)]TJ 15.691 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ +/F147 9.9626 Tf 10.879 -18.09 Td [(interface)]TJ 15.691 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ 0 g 0 G /F84 9.9626 Tf 93.898 -29.888 Td [(72)]TJ 0 g 0 G @@ -17074,7 +17083,7 @@ ET endstream endobj -1488 0 obj +1489 0 obj << /Length 11618 >> @@ -17082,7 +17091,7 @@ stream 0 g 0 G 0 g 0 G BT -/F145 9.9626 Tf 183.332 706.129 Td [(integer,)-525(intent)-525(\050in\051)-1050(::)-525(glob_index,np,mg)]TJ 0 -11.955 Td [(integer,)-525(intent)-525(\050out\051)-525(::)-525(nv,)-525(pv\050*\051)]TJ -10.46 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/F84 9.9626 Tf -10.77 -17.586 Td [(The)-250(input)-250(ar)18(guments)-250(ar)18(e:)]TJ +/F147 9.9626 Tf 183.332 706.129 Td [(integer,)-525(intent)-525(\050in\051)-1050(::)-525(glob_index,np,mg)]TJ 0 -11.955 Td [(integer,)-525(intent)-525(\050out\051)-525(::)-525(nv,)-525(pv\050*\051)]TJ -10.46 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/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 /F75 9.9626 Tf 0.309 -15.594 Td [(glob)]TJ ET @@ -17105,23 +17114,23 @@ BT 0 g 0 G /F75 9.9626 Tf 0.309 -15.594 Td [(nv)]TJ 0 g 0 G -/F84 9.9626 Tf 16.299 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F145 9.9626 Tf 111.052 0 Td [(pv)]TJ/F84 9.9626 Tf 10.46 0 Td [(;)]TJ +/F84 9.9626 Tf 16.299 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F147 9.9626 Tf 111.052 0 Td [(pv)]TJ/F84 9.9626 Tf 10.46 0 Td [(;)]TJ 0 g 0 G /F75 9.9626 Tf -137.811 -13.774 Td [(pv)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 162.939 564.573 Tm [(A)-342(vector)-342(containing)-342(the)-342(indices)-343(of)-342(the)-342(pr)18(ocesses)-342(to)-343(which)-342(the)]TJ 1.02 0 0 1 165.35 552.618 Tm [(global)-309(index)-310(should)-309(be)-310(assigend;)-341(each)-310(entry)-309(must)-310(satisfy)-309(0)]TJ/F190 10.3811 Tf 1 0 0 1 435.412 552.618 Tm [(\024)]TJ/F78 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F192 10.3811 Tf 10.461 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 3.089 0 Td [(\051)]TJ/F148 10.3811 Tf 8.296 0 Td [(<)]TJ/F78 9.9626 Tf 12.342 0 Td [(n)-80(p)]TJ/F84 9.9626 Tf 1.02 0 0 1 215.856 540.662 Tm [(;)-345(if)]TJ/F78 9.9626 Tf 1 0 0 1 231.538 540.662 Tm [(n)-25(v)]TJ/F148 10.3811 Tf 15.042 0 Td [(>)]TJ/F84 9.9626 Tf 1.02 0 0 1 258.797 540.662 Tm [(1)-312(we)-312(have)-311(an)-312(index)-312(assigned)-312(to)-312(multiple)]TJ 1 0 0 1 165.051 528.707 Tm [(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 1 162.939 564.573 Tm [(A)-342(vector)-342(containing)-342(the)-342(indices)-343(of)-342(the)-342(pr)18(ocesses)-342(to)-343(which)-342(the)]TJ 1.02 0 0 1 165.35 552.618 Tm [(global)-309(index)-310(should)-309(be)-310(assigend;)-341(each)-310(entry)-309(must)-310(satisfy)-309(0)]TJ/F195 10.3811 Tf 1 0 0 1 435.412 552.618 Tm [(\024)]TJ/F78 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F197 10.3811 Tf 10.461 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.089 0 Td [(\051)]TJ/F152 10.3811 Tf 8.296 0 Td [(<)]TJ/F78 9.9626 Tf 12.342 0 Td [(n)-80(p)]TJ/F84 9.9626 Tf 1.02 0 0 1 215.856 540.662 Tm [(;)-345(if)]TJ/F78 9.9626 Tf 1 0 0 1 231.538 540.662 Tm [(n)-25(v)]TJ/F152 10.3811 Tf 15.042 0 Td [(>)]TJ/F84 9.9626 Tf 1.02 0 0 1 258.797 540.662 Tm [(1)-312(we)-312(have)-311(an)-312(index)-312(assigned)-312(to)-312(multiple)]TJ 1 0 0 1 165.051 528.707 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 /F75 9.9626 Tf -40.249 -15.593 Td [(vg)]TJ 0 g 0 G -/F84 9.9626 Tf 0.98 0 0 1 140.862 513.114 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 1 146.441 501.158 Tm [(via)-254(an)-254(integer)-253(vector)]TJ/F145 9.9626 Tf 1 0 0 1 237.956 501.158 Tm [(vg\0501:mg\051)]TJ/F84 9.9626 Tf 0.986 0 0 1 279.798 501.158 Tm [(;)-254(each)-254(index)]TJ/F78 9.9626 Tf 1 0 0 1 333.837 501.158 Tm [(i)]TJ/F190 10.3811 Tf 5.861 0 Td [(2)-290(f)]TJ/F84 9.9626 Tf 0.986 0 0 1 354.949 501.158 Tm [(1)]TJ 1 0 0 1 361.645 501.158 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(m)-47(g)]TJ/F190 10.3811 Tf 13.449 0 Td [(g)]TJ/F84 9.9626 Tf 0.986 0 0 1 396.104 501.158 Tm [(is)-254(assigned)]TJ 1.02 0 0 1 146.72 489.203 Tm [(to)-260(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 194.476 489.203 Tm [(v)-47(g)]TJ/F192 10.3811 Tf 10.68 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 216.598 489.203 Tm [(.)-349(The)-260(vector)]TJ/F145 9.9626 Tf 1 0 0 1 272.971 489.203 Tm [(vg)]TJ/F84 9.9626 Tf 1.02 0 0 1 286.073 489.203 Tm [(must)-260(be)-260(identical)-260(on)-260(all)-260(calling)-260(pr)18(o-)]TJ 1.02 0 0 1 146.72 477.248 Tm [(cesses;)-427(its)-366(entries)-366(may)-367(have)-366(the)-366(ranges)]TJ/F192 10.3811 Tf 1 0 0 1 329.283 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 333.433 477.248 Tm [(0)]TJ 1 0 0 1 340.299 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)-80(p)]TJ/F190 10.3811 Tf 13.96 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 378.046 477.248 Tm [(1)]TJ/F192 10.3811 Tf 1 0 0 1 383.252 477.248 Tm [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 391.123 477.248 Tm [(or)]TJ/F192 10.3811 Tf 1 0 0 1 404.532 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 408.681 477.248 Tm [(1)]TJ 1 0 0 1 415.547 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)-80(p)]TJ/F192 10.3811 Tf 11.567 0 Td [(\051)]TJ/F84 9.9626 Tf 0.993 0 0 1 146.72 465.293 Tm [(accor)18(ding)-252(to)-253(the)-252(value)-252(of)]TJ/F145 9.9626 Tf 1 0 0 1 257.41 465.293 Tm [(flag)]TJ/F84 9.9626 Tf 0.993 0 0 1 278.331 465.293 Tm [(.)-314(The)-253(size)]TJ/F78 9.9626 Tf 1 0 0 1 322.35 465.293 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 0.993 0 0 1 338.172 465.293 Tm [(may)-252(be)-253(speci\002ed)-252(via)-253(the)]TJ 0.999 0 0 1 146.72 453.338 Tm [(optional)-250(ar)18(gument)]TJ/F145 9.9626 Tf 1 0 0 1 231.215 453.338 Tm [(mg)]TJ/F84 9.9626 Tf 0.999 0 0 1 241.676 453.338 Tm [(;)-250(the)-251(default)-250(is)-251(to)-250(use)-250(the)-251(entir)18(e)-250(vector)]TJ/F145 9.9626 Tf 1 0 0 1 408.907 453.338 Tm [(vg)]TJ/F84 9.9626 Tf 0.999 0 0 1 419.367 453.338 Tm [(,)-251(t)1(hus)]TJ 1 0 0 1 146.72 441.383 Tm [(having)]TJ/F145 9.9626 Tf 33.135 0 Td [(mg=size\050vg\051)]TJ/F84 9.9626 Tf 57.534 0 Td [(.)]TJ +/F84 9.9626 Tf 0.98 0 0 1 140.862 513.114 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 1 146.441 501.158 Tm [(via)-254(an)-254(integer)-253(vector)]TJ/F147 9.9626 Tf 1 0 0 1 237.956 501.158 Tm [(vg\0501:mg\051)]TJ/F84 9.9626 Tf 0.986 0 0 1 279.798 501.158 Tm [(;)-254(each)-254(index)]TJ/F78 9.9626 Tf 1 0 0 1 333.837 501.158 Tm [(i)]TJ/F195 10.3811 Tf 5.861 0 Td [(2)-290(f)]TJ/F84 9.9626 Tf 0.986 0 0 1 354.949 501.158 Tm [(1)]TJ 1 0 0 1 361.645 501.158 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.201 0 Td [(m)-47(g)]TJ/F195 10.3811 Tf 13.449 0 Td [(g)]TJ/F84 9.9626 Tf 0.986 0 0 1 396.104 501.158 Tm [(is)-254(assigned)]TJ 1.02 0 0 1 146.72 489.203 Tm [(to)-260(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 194.476 489.203 Tm [(v)-47(g)]TJ/F197 10.3811 Tf 10.68 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 216.598 489.203 Tm [(.)-349(The)-260(vector)]TJ/F147 9.9626 Tf 1 0 0 1 272.971 489.203 Tm [(vg)]TJ/F84 9.9626 Tf 1.02 0 0 1 286.073 489.203 Tm [(must)-260(be)-260(identical)-260(on)-260(all)-260(calling)-260(pr)18(o-)]TJ 1.02 0 0 1 146.72 477.248 Tm [(cesses;)-427(its)-366(entries)-366(may)-367(have)-366(the)-366(ranges)]TJ/F197 10.3811 Tf 1 0 0 1 329.283 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 333.433 477.248 Tm [(0)]TJ 1 0 0 1 340.299 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)-80(p)]TJ/F195 10.3811 Tf 13.96 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 378.046 477.248 Tm [(1)]TJ/F197 10.3811 Tf 1 0 0 1 383.252 477.248 Tm [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 391.123 477.248 Tm [(or)]TJ/F197 10.3811 Tf 1 0 0 1 404.532 477.248 Tm [(\050)]TJ/F84 9.9626 Tf 1.02 0 0 1 408.681 477.248 Tm [(1)]TJ 1 0 0 1 415.547 477.248 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(n)-80(p)]TJ/F197 10.3811 Tf 11.567 0 Td [(\051)]TJ/F84 9.9626 Tf 0.993 0 0 1 146.72 465.293 Tm [(accor)18(ding)-252(to)-253(the)-252(value)-252(of)]TJ/F147 9.9626 Tf 1 0 0 1 257.41 465.293 Tm [(flag)]TJ/F84 9.9626 Tf 0.993 0 0 1 278.331 465.293 Tm [(.)-314(The)-253(size)]TJ/F78 9.9626 Tf 1 0 0 1 322.35 465.293 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 0.993 0 0 1 338.172 465.293 Tm [(may)-252(be)-253(speci\002ed)-252(via)-253(the)]TJ 0.999 0 0 1 146.72 453.338 Tm [(optional)-250(ar)18(gument)]TJ/F147 9.9626 Tf 1 0 0 1 231.215 453.338 Tm [(mg)]TJ/F84 9.9626 Tf 0.999 0 0 1 241.676 453.338 Tm [(;)-250(the)-251(default)-250(is)-251(to)-250(use)-250(the)-251(entir)18(e)-250(vector)]TJ/F147 9.9626 Tf 1 0 0 1 408.907 453.338 Tm [(vg)]TJ/F84 9.9626 Tf 0.999 0 0 1 419.367 453.338 Tm [(,)-251(t)1(hus)]TJ 1 0 0 1 146.72 441.383 Tm [(having)]TJ/F147 9.9626 Tf 33.135 0 Td [(mg=size\050vg\051)]TJ/F84 9.9626 Tf 57.534 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -112.587 -15.594 Td [(vl)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 138.64 425.789 Tm [(In)-336(this)-335(case)-336(we)-335(ar)17(e)-335(specifying)-336(the)-335(list)-336(of)-335(indices)]TJ/F145 9.9626 Tf 1 0 0 1 359.058 425.789 Tm [(vl\0501:nl\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 404.311 425.789 Tm [(assigned)]TJ 1.018 0 0 1 146.72 413.834 Tm [(to)-245(the)-246(curr)18(ent)-245(pr)17(ocess;)-245(thus,)-246(th)1(e)-246(global)-245(pr)17(oblem)-245(size)]TJ/F78 9.9626 Tf 1 0 0 1 379.625 413.834 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 1.018 0 0 1 395.438 413.834 Tm [(is)-245(given)-246(by)]TJ 1.02 0 0 1 146.72 401.878 Tm [(the)-255(range)-255(of)-255(the)-255(aggr)18(egate)-255(of)-255(the)-255(individual)-255(vectors)]TJ/F145 9.9626 Tf 1 0 0 1 379.117 401.878 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 392.168 401.878 Tm [(speci\002ed)-255(in)]TJ 1.02 0 0 1 146.72 389.923 Tm [(the)-346(calling)-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 1 146.72 377.968 Tm [(ar)18(gument)]TJ/F145 9.9626 Tf 1 0 0 1 193.05 377.968 Tm [(nl)]TJ/F84 9.9626 Tf 1.02 0 0 1 203.511 377.968 Tm [(;)-257(the)-253(default)-252(is)-253(to)-253(use)-253(the)-253(entir)18(e)-253(vector)]TJ/F145 9.9626 Tf 1 0 0 1 374.525 377.968 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 384.986 377.968 Tm [(,)-255(thus)-253(having)]TJ/F145 9.9626 Tf 1 0 0 1 146.72 366.013 Tm [(nl=size\050vl\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 204.254 366.013 Tm [(.)-306(If)]TJ/F145 9.9626 Tf 1 0 0 1 218.412 366.013 Tm [(globalcheck=.true.)]TJ/F84 9.9626 Tf 0.98 0 0 1 314.747 366.013 Tm [(the)-224(subr)18(outine)-224(will)-224(check)-224(how)]TJ 0.98 0 0 1 146.72 354.058 Tm [(many)-208(times)-209(each)-208(entry)-209(in)-208(the)-209(global)-208(index)-209(space)]TJ/F192 10.3811 Tf 1 0 0 1 352.531 354.058 Tm [(\050)]TJ/F84 9.9626 Tf 0.98 0 0 1 356.68 354.058 Tm [(1)]TJ 1 0 0 1 363.347 354.058 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(m)-47(g)]TJ/F192 10.3811 Tf 13.45 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 396.182 354.058 Tm [(is)-208(speci\002ed)]TJ 0.999 0 0 1 146.72 342.103 Tm [(in)-249(the)-250(input)-249(lists)]TJ/F145 9.9626 Tf 1 0 0 1 220.533 342.103 Tm [(vl)]TJ/F84 9.9626 Tf 0.999 0 0 1 230.994 342.103 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 1 146.72 330.147 Tm [(input,)-248(and)-249(checking)-248(for)-249(\223orphan\224)-248(indices.)-308(If)]TJ/F145 9.9626 Tf 1 0 0 1 342.972 330.147 Tm [(globalcheck=.false.)]TJ/F84 9.9626 Tf 1.005 0 0 1 442.349 330.147 Tm [(,)]TJ 1.018 0 0 1 146.72 318.192 Tm [(the)-246(subr)18(outine)-246(will)-247(not)-246(check)-246(for)-246(overlap,)-246(and)-246(may)-246(be)-247(signi\002)1(cantly)]TJ 1.02 0 0 1 146.72 306.237 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 1 146.72 294.282 Tm [(orphan)-250(nor)-250(overlap)-250(indices.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 138.64 425.789 Tm [(In)-336(this)-335(case)-336(we)-335(ar)17(e)-335(specifying)-336(the)-335(list)-336(of)-335(indices)]TJ/F147 9.9626 Tf 1 0 0 1 359.058 425.789 Tm [(vl\0501:nl\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 404.311 425.789 Tm [(assigned)]TJ 1.018 0 0 1 146.72 413.834 Tm [(to)-245(the)-246(curr)18(ent)-245(pr)17(ocess;)-245(thus,)-246(th)1(e)-246(global)-245(pr)17(oblem)-245(size)]TJ/F78 9.9626 Tf 1 0 0 1 379.625 413.834 Tm [(m)-47(g)]TJ/F84 9.9626 Tf 1.018 0 0 1 395.438 413.834 Tm [(is)-245(given)-246(by)]TJ 1.02 0 0 1 146.72 401.878 Tm [(the)-255(range)-255(of)-255(the)-255(aggr)18(egate)-255(of)-255(the)-255(individual)-255(vectors)]TJ/F147 9.9626 Tf 1 0 0 1 379.117 401.878 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 392.168 401.878 Tm [(speci\002ed)-255(in)]TJ 1.02 0 0 1 146.72 389.923 Tm [(the)-346(calling)-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 1 146.72 377.968 Tm [(ar)18(gument)]TJ/F147 9.9626 Tf 1 0 0 1 193.05 377.968 Tm [(nl)]TJ/F84 9.9626 Tf 1.02 0 0 1 203.511 377.968 Tm [(;)-257(the)-253(default)-252(is)-253(to)-253(use)-253(the)-253(entir)18(e)-253(vector)]TJ/F147 9.9626 Tf 1 0 0 1 374.525 377.968 Tm [(vl)]TJ/F84 9.9626 Tf 1.02 0 0 1 384.986 377.968 Tm [(,)-255(thus)-253(having)]TJ/F147 9.9626 Tf 1 0 0 1 146.72 366.013 Tm [(nl=size\050vl\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 204.254 366.013 Tm [(.)-306(If)]TJ/F147 9.9626 Tf 1 0 0 1 218.412 366.013 Tm [(globalcheck=.true.)]TJ/F84 9.9626 Tf 0.98 0 0 1 314.747 366.013 Tm [(the)-224(subr)18(outine)-224(will)-224(check)-224(how)]TJ 0.98 0 0 1 146.72 354.058 Tm [(many)-208(times)-209(each)-208(entry)-209(in)-208(the)-209(global)-208(index)-209(space)]TJ/F197 10.3811 Tf 1 0 0 1 352.531 354.058 Tm [(\050)]TJ/F84 9.9626 Tf 0.98 0 0 1 356.68 354.058 Tm [(1)]TJ 1 0 0 1 363.347 354.058 Tm [(.)-192(.)-191(.)]TJ/F78 9.9626 Tf 13.2 0 Td [(m)-47(g)]TJ/F197 10.3811 Tf 13.45 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 396.182 354.058 Tm [(is)-208(speci\002ed)]TJ 0.999 0 0 1 146.72 342.103 Tm [(in)-249(the)-250(input)-249(lists)]TJ/F147 9.9626 Tf 1 0 0 1 220.533 342.103 Tm [(vl)]TJ/F84 9.9626 Tf 0.999 0 0 1 230.994 342.103 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 1 146.72 330.147 Tm [(input,)-248(and)-249(checking)-248(for)-249(\223orphan\224)-248(indices.)-308(If)]TJ/F147 9.9626 Tf 1 0 0 1 342.972 330.147 Tm [(globalcheck=.false.)]TJ/F84 9.9626 Tf 1.005 0 0 1 442.349 330.147 Tm [(,)]TJ 1.018 0 0 1 146.72 318.192 Tm [(the)-246(subr)18(outine)-246(will)-247(not)-246(check)-246(for)-246(overlap,)-246(and)-246(may)-246(be)-247(signi\002)1(cantly)]TJ 1.02 0 0 1 146.72 306.237 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 1 146.72 294.282 Tm [(orphan)-250(nor)-250(overlap)-250(indices.)]TJ 0 g 0 G /F75 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 147.178 278.688 Tm [(The)-326(optional)-325(ar)18(gument)]TJ/F145 9.9626 Tf 1 0 0 1 255.3 278.688 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 279.53 278.688 Tm [(is)-326(available)-325(for)-326(those)-325(cases)-326(in)-325(which)]TJ 1.02 0 0 1 146.72 266.733 Tm [(the)-305(user)-305(has)-305(alr)18(eady)-306(established)-305(a)-305(global-to-local)-305(mapping;)-335(if)-305(it)-305(is)]TJ 1.001 0 0 1 146.72 254.778 Tm [(speci\002ed,)-250(each)-250(index)-250(in)]TJ/F145 9.9626 Tf 1 0 0 1 251.841 254.778 Tm [(vl\050i\051)]TJ/F84 9.9626 Tf 1.001 0 0 1 280.486 254.778 Tm [(will)-250(be)-250(mapped)-250(to)-250(the)-250(corr)18(esponding)]TJ 1.02 0 0 1 146.72 242.823 Tm [(local)-275(index)]TJ/F145 9.9626 Tf 1 0 0 1 198.551 242.823 Tm [(lidx\050i\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 235.163 242.823 Tm [(.)-393(When)-275(specifying)-275(the)-274(ar)17(gument)]TJ/F145 9.9626 Tf 1 0 0 1 383.887 242.823 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 407.601 242.823 Tm [(the)-275(user)]TJ 1.02 0 0 1 146.301 230.868 Tm [(would)-297(also)-297(likely)-297(employ)]TJ/F145 9.9626 Tf 1 0 0 1 264.721 230.868 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 288.659 230.868 Tm [(in)-297(calls)-297(to)]TJ/F145 9.9626 Tf 1 0 0 1 335.257 230.868 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 1.02 0 0 1 385.346 230.868 Tm [(and)]TJ/F145 9.9626 Tf 1 0 0 1 405.567 230.868 Tm [(local)]TJ/F84 9.9626 Tf 1.02 0 0 1 434.735 230.868 Tm [(in)]TJ 1 0 0 1 146.72 218.912 Tm [(calls)-250(to)]TJ/F145 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F84 9.9626 Tf 49.564 0 Td [(and)]TJ/F145 9.9626 Tf 19.357 0 Td [(psb_geins)]TJ/F84 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 147.178 278.688 Tm [(The)-326(optional)-325(ar)18(gument)]TJ/F147 9.9626 Tf 1 0 0 1 255.3 278.688 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 279.53 278.688 Tm [(is)-326(available)-325(for)-326(those)-325(cases)-326(in)-325(which)]TJ 1.02 0 0 1 146.72 266.733 Tm [(the)-305(user)-305(has)-305(alr)18(eady)-306(established)-305(a)-305(global-to-local)-305(mapping;)-335(if)-305(it)-305(is)]TJ 1.001 0 0 1 146.72 254.778 Tm [(speci\002ed,)-250(each)-250(index)-250(in)]TJ/F147 9.9626 Tf 1 0 0 1 251.841 254.778 Tm [(vl\050i\051)]TJ/F84 9.9626 Tf 1.001 0 0 1 280.486 254.778 Tm [(will)-250(be)-250(mapped)-250(to)-250(the)-250(corr)18(esponding)]TJ 1.02 0 0 1 146.72 242.823 Tm [(local)-275(index)]TJ/F147 9.9626 Tf 1 0 0 1 198.551 242.823 Tm [(lidx\050i\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 235.163 242.823 Tm [(.)-393(When)-275(specifying)-275(the)-274(ar)17(gument)]TJ/F147 9.9626 Tf 1 0 0 1 383.887 242.823 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 407.601 242.823 Tm [(the)-275(user)]TJ 1.02 0 0 1 146.301 230.868 Tm [(would)-297(also)-297(likely)-297(employ)]TJ/F147 9.9626 Tf 1 0 0 1 264.721 230.868 Tm [(lidx)]TJ/F84 9.9626 Tf 1.02 0 0 1 288.659 230.868 Tm [(in)-297(calls)-297(to)]TJ/F147 9.9626 Tf 1 0 0 1 335.257 230.868 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 1.02 0 0 1 385.346 230.868 Tm [(and)]TJ/F147 9.9626 Tf 1 0 0 1 405.567 230.868 Tm [(local)]TJ/F84 9.9626 Tf 1.02 0 0 1 434.735 230.868 Tm [(in)]TJ 1 0 0 1 146.72 218.912 Tm [(calls)-250(to)]TJ/F147 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F84 9.9626 Tf 49.564 0 Td [(and)]TJ/F147 9.9626 Tf 19.357 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 @@ -17129,7 +17138,7 @@ BT 0 g 0 G /F75 9.9626 Tf -171.007 -15.593 Td [(nl)]TJ 0 g 0 G -/F84 9.9626 Tf 0.98 0 0 1 139.188 203.319 Tm [(If)-247(this)-248(ar)19(gument)-247(is)-248(speci\002ed)-247(alone)-247(\050i.e.)-314(without)]TJ/F145 9.9626 Tf 1 0 0 1 342.277 203.319 Tm [(vl)]TJ/F84 9.9626 Tf 0.98 0 0 1 352.737 203.319 Tm [(\051)-247(the)-248(r)19(esult)-247(is)-248(a)-247(gener)18(-)]TJ 0.98 0 0 1 146.72 191.364 Tm [(alized)-250(r)18(ow-block)-250(distribution)-250(in)-250(which)-250(each)-251(pr)19(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 372.364 191.364 Tm [(I)]TJ/F84 9.9626 Tf 0.98 0 0 1 378.657 191.364 Tm [(gets)-250(assigned)-250(a)]TJ 1 0 0 1 146.72 179.408 Tm [(consecutive)-250(chunk)-250(of)]TJ/F78 9.9626 Tf 95.904 0 Td [(N)]TJ/F78 7.5716 Tf 7.85 -1.808 Td [(I)]TJ/F192 10.3811 Tf 6.317 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 +/F84 9.9626 Tf 0.98 0 0 1 139.188 203.319 Tm [(If)-247(this)-248(ar)19(gument)-247(is)-248(speci\002ed)-247(alone)-247(\050i.e.)-314(without)]TJ/F147 9.9626 Tf 1 0 0 1 342.277 203.319 Tm [(vl)]TJ/F84 9.9626 Tf 0.98 0 0 1 352.737 203.319 Tm [(\051)-247(the)-248(r)19(esult)-247(is)-248(a)-247(gener)18(-)]TJ 0.98 0 0 1 146.72 191.364 Tm [(alized)-250(r)18(ow-block)-250(distribution)-250(in)-250(which)-250(each)-251(pr)19(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 372.364 191.364 Tm [(I)]TJ/F84 9.9626 Tf 0.98 0 0 1 378.657 191.364 Tm [(gets)-250(assigned)-250(a)]TJ 1 0 0 1 146.72 179.408 Tm [(consecutive)-250(chunk)-250(of)]TJ/F78 9.9626 Tf 95.904 0 Td [(N)]TJ/F78 7.5716 Tf 7.85 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[(type)]TJ +/F147 9.9626 Tf 337.084 120.326 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -17930,7 +17939,7 @@ ET endstream endobj -1511 0 obj +1512 0 obj << /Length 3083 >> @@ -17973,7 +17982,7 @@ ET endstream endobj -1520 0 obj +1521 0 obj << /Length 6186 >> @@ -17991,7 +18000,7 @@ BT /F75 11.9552 Tf 151.016 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ +/F147 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -18011,55 +18020,55 @@ BT 0 g 0 G /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 -11.956 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 [(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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 312.397 577.576 Td [(desc)]TJ +/F147 9.9626 Tf 312.397 577.576 Td [(desc)]TJ ET q 1 0 0 1 333.945 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 337.084 577.576 Td [(type)]TJ +/F147 9.9626 Tf 337.084 577.576 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ 0 g 0 G -/F84 9.9626 Tf 28.473 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.566 -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 -11.956 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 1 124.802 509.83 Tm [(Speci\002ed)-212(as:)-295(a)-212(object)-212(of)-212(type)-213(der)1(ived)-213(fr)19(om)-212(\050integer\051)]TJ/F145 9.9626 Tf 1 0 0 1 344.16 509.83 Tm [(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(index)-250(storage.)]TJ -3.566 -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 -11.956 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 1 124.802 509.83 Tm [(Speci\002ed)-212(as:)-295(a)-212(object)-212(of)-212(type)-213(der)1(ived)-213(fr)19(om)-212(\050integer\051)]TJ/F147 9.9626 Tf 1 0 0 1 344.16 509.83 Tm [(psb)]TJ ET q 1 0 0 1 360.479 510.029 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 363.617 509.83 Td [(T)]TJ +/F147 9.9626 Tf 363.617 509.83 Td [(T)]TJ ET q 1 0 0 1 369.475 510.029 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 372.613 509.83 Td [(base)]TJ +/F147 9.9626 Tf 372.613 509.83 Td [(base)]TJ ET q 1 0 0 1 394.162 510.029 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 397.301 509.83 Td [(vect)]TJ +/F147 9.9626 Tf 397.301 509.83 Td [(vect)]TJ ET q 1 0 0 1 418.849 510.029 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 421.988 509.83 Td [(type)]TJ/F84 9.9626 Tf 0.98 0 0 1 442.909 509.83 Tm [(.)]TJ +/F147 9.9626 Tf 421.988 509.83 Td [(type)]TJ/F84 9.9626 Tf 0.98 0 0 1 442.909 509.83 Tm [(.)]TJ 0 g 0 G /F75 9.9626 Tf 1 0 0 1 99.895 487.912 Tm [(On)-250(Return)]TJ 0 g 0 G @@ -18075,21 +18084,21 @@ BT 0 g 0 G /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 [(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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 420.366 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 312.397 420.166 Td [(desc)]TJ +/F147 9.9626 Tf 312.397 420.166 Td [(desc)]TJ ET q 1 0 0 1 333.945 420.366 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 337.084 420.166 Td [(type)]TJ +/F147 9.9626 Tf 337.084 420.166 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -18099,7 +18108,7 @@ BT 0 g 0 G /F84 9.9626 Tf 12.454 -19.926 Td [(1.)]TJ 0 g 0 G - [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(assembled)-250(state.)]TJ 1.017 0 0 1 99.587 290.652 Tm [(This)-246(call)-245(will)-246(set)-246(up)-245(all)-246(the)-246(necessary)-245(information)-246(for)-246(the)-246(halo)-245(data)-246(exchanges.)]TJ 1.02 0 0 1 99.895 278.697 Tm [(In)-289(doing)-290(so,)-300(the)-289(library)-289(will)-289(need)-290(to)-289(identify)-289(the)-289(set)-290(of)-289(pr)18(ocesses)-289(owning)-290(the)]TJ 1.02 0 0 1 99.895 266.742 Tm [(halo)-332(indices)-332(thr)18(ough)-332(the)-331(use)-332(of)-332(the)]TJ/F145 9.9626 Tf 1 0 0 1 263.448 266.742 Tm [(desc%fnd_owner\050\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 350.505 266.742 Tm [(method;)-375(the)-332(owning)]TJ 1.02 0 0 1 99.596 254.786 Tm [(pr)18(ocesses)-361(ar)18(e)-361(the)-361(topological)-360(neighbours)-361(of)-361(the)-361(calling)-360(pr)17(ocess.)-650(If)-361(the)-361(user)]TJ 1.007 0 0 1 99.895 242.831 Tm [(has)-249(some)-249(backgr)18(ound)-249(information)-249(on)-249(the)-249(pr)18(ocesses)-249(that)-249(ar)18(e)-249(neighbours)-249(of)-249(the)]TJ 0.989 0 0 1 99.895 230.876 Tm [(curr)18(ent)-253(one,)-253(it)-253(is)-253(possible)-253(to)-253(specify)-253(explicitly)-253(the)-253(list)-253(of)-253(adjacent)-253(pr)18(ocesses)-253(with)]TJ 1.003 0 0 1 99.895 218.921 Tm [(a)-249(call)-249(to)]TJ/F145 9.9626 Tf 1 0 0 1 136.323 218.921 Tm [(desc%set_p_adjcncy\050list\051)]TJ/F84 9.9626 Tf 1.003 0 0 1 261.851 218.921 Tm [(;)-249(this)-249(will)-249(speed)-250(up)-249(the)-249(subsequent)-249(call)-249(to)]TJ/F145 9.9626 Tf 1 0 0 1 99.895 206.966 Tm [(psb_cdasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(.)]TJ + [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(assembled)-250(state.)]TJ 1.017 0 0 1 99.587 290.652 Tm [(This)-246(call)-245(will)-246(set)-246(up)-245(all)-246(the)-246(necessary)-245(information)-246(for)-246(the)-246(halo)-245(data)-246(exchanges.)]TJ 1.02 0 0 1 99.895 278.697 Tm [(In)-289(doing)-290(so,)-300(the)-289(library)-289(will)-289(need)-290(to)-289(identify)-289(the)-289(set)-290(of)-289(pr)18(ocesses)-289(owning)-290(the)]TJ 1.02 0 0 1 99.895 266.742 Tm [(halo)-332(indices)-332(thr)18(ough)-332(the)-331(use)-332(of)-332(the)]TJ/F147 9.9626 Tf 1 0 0 1 263.448 266.742 Tm [(desc%fnd_owner\050\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 350.505 266.742 Tm [(method;)-375(the)-332(owning)]TJ 1.02 0 0 1 99.596 254.786 Tm [(pr)18(ocesses)-361(ar)18(e)-361(the)-361(topological)-360(neighbours)-361(of)-361(the)-361(calling)-360(pr)17(ocess.)-650(If)-361(the)-361(user)]TJ 1.007 0 0 1 99.895 242.831 Tm [(has)-249(some)-249(backgr)18(ound)-249(information)-249(on)-249(the)-249(pr)18(ocesses)-249(that)-249(ar)18(e)-249(neighbours)-249(of)-249(the)]TJ 0.989 0 0 1 99.895 230.876 Tm [(curr)18(ent)-253(one,)-253(it)-253(is)-253(possible)-253(to)-253(specify)-253(explicitly)-253(the)-253(list)-253(of)-253(adjacent)-253(pr)18(ocesses)-253(with)]TJ 1.003 0 0 1 99.895 218.921 Tm [(a)-249(call)-249(to)]TJ/F147 9.9626 Tf 1 0 0 1 136.323 218.921 Tm [(desc%set_p_adjcncy\050list\051)]TJ/F84 9.9626 Tf 1.003 0 0 1 261.851 218.921 Tm [(;)-249(this)-249(will)-249(speed)-250(up)-249(the)-249(subsequent)-249(call)-249(to)]TJ/F147 9.9626 Tf 1 0 0 1 99.895 206.966 Tm [(psb_cdasb)]TJ/F84 9.9626 Tf 47.073 0 Td [(.)]TJ 0 g 0 G 119.802 -116.528 Td [(77)]TJ 0 g 0 G @@ -18107,7 +18116,7 @@ ET endstream endobj -1527 0 obj +1528 0 obj << /Length 3186 >> @@ -18125,7 +18134,7 @@ BT /F75 11.9552 Tf 201.825 706.129 Td [(cdcpy)-250(\227)-250(Copies)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ +/F147 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -18145,21 +18154,21 @@ BT 0 g 0 G /F84 9.9626 Tf 14.386 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -12.982 -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 [(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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 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 -/F145 9.9626 Tf 363.206 577.576 Td [(desc)]TJ +/F147 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 -/F145 9.9626 Tf 387.893 577.576 Td [(type)]TJ +/F147 9.9626 Tf 387.893 577.576 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -18177,21 +18186,21 @@ BT 0 g 0 G /F84 9.9626 Tf 19.925 0 Td [(the)-250(communication)-250(descriptor)-250(copy)111(.)]TJ -18.521 -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 -11.956 Td [(Intent:)]TJ/F75 9.9626 Tf 31.801 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 -/F145 9.9626 Tf 168.137 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.137 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 488.112 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 363.206 487.912 Td [(desc)]TJ +/F147 9.9626 Tf 363.206 487.912 Td [(desc)]TJ ET q 1 0 0 1 384.755 488.112 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 387.893 487.912 Td [(type)]TJ +/F147 9.9626 Tf 387.893 487.912 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -18205,7 +18214,7 @@ ET endstream endobj -1532 0 obj +1533 0 obj << /Length 2169 >> @@ -18223,7 +18232,7 @@ BT /F75 11.9552 Tf 151.016 706.129 Td [(cdfree)-250(\227)-250(Frees)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ +/F147 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -18243,21 +18252,21 @@ BT 0 g 0 G /F84 9.9626 Tf 9.963 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 28.343 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 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 [(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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 312.397 577.576 Td [(desc)]TJ +/F147 9.9626 Tf 312.397 577.576 Td [(desc)]TJ ET q 1 0 0 1 333.945 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 337.084 577.576 Td [(type)]TJ +/F147 9.9626 Tf 337.084 577.576 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -18274,7 +18283,7 @@ ET endstream endobj -1539 0 obj +1540 0 obj << /Length 5958 >> @@ -18292,7 +18301,7 @@ BT /F75 11.9552 Tf 0.984 0 0 1 201.506 706.129 Tm [(cdbldext)-253(\227)-253(Build)-253(an)-253(extended)-253(communication)-253(descrip-)]TJ 1 0 0 1 177.604 692.181 Tm [(tor)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -26.899 -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 1 165.649 649.066 Tm [(This)-254(subr)19(outine)-254(builds)-254(an)-254(extended)-253(communication)-254(descriptor)75(,)-254(b)1(ased)-254(on)-254(the)]TJ 1.019 0 0 1 150.705 637.111 Tm [(input)-244(descriptor)]TJ/F145 9.9626 Tf 1 0 0 1 225.863 637.111 Tm [(desc_a)]TJ/F84 9.9626 Tf 1.019 0 0 1 259.725 637.111 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 1 150.705 625.156 Tm [(matrix)]TJ/F145 9.9626 Tf 31.491 0 Td [(a)]TJ/F84 9.9626 Tf 5.231 0 Td [(.)]TJ +/F147 9.9626 Tf -26.899 -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 1 165.649 649.066 Tm [(This)-254(subr)19(outine)-254(builds)-254(an)-254(extended)-253(communication)-254(descriptor)75(,)-254(b)1(ased)-254(on)-254(the)]TJ 1.019 0 0 1 150.705 637.111 Tm [(input)-244(descriptor)]TJ/F147 9.9626 Tf 1 0 0 1 225.863 637.111 Tm [(desc_a)]TJ/F84 9.9626 Tf 1.019 0 0 1 259.725 637.111 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 1 150.705 625.156 Tm [(matrix)]TJ/F147 9.9626 Tf 31.491 0 Td [(a)]TJ/F84 9.9626 Tf 5.231 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -36.722 -21.054 Td [(T)90(ype:)]TJ 0 g 0 G @@ -18316,31 +18325,31 @@ BT 0 g 0 G /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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 456.326 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 363.206 456.127 Td [(Tspmat)]TJ +/F147 9.9626 Tf 363.206 456.127 Td [(Tspmat)]TJ ET q 1 0 0 1 395.216 456.326 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 398.354 456.127 Td [(type)]TJ +/F147 9.9626 Tf 398.354 456.127 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -268.57 -21.43 Td [(nl)]TJ 0 g 0 G -/F84 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.52 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 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 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(an)-250(integer)-250(value)]TJ/F78 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F190 10.3811 Tf 11.873 0 Td [(\025)]TJ/F84 9.9626 Tf 10.962 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 10.52 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 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 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(an)-250(integer)-250(value)]TJ/F78 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F195 10.3811 Tf 11.873 0 Td [(\025)]TJ/F84 9.9626 Tf 10.962 0 Td [(0.)]TJ 0 g 0 G /F75 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ 0 g 0 G -/F84 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.963 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 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 23.999 0 Td [(optional)]TJ/F84 9.9626 Tf 40.678 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 1 175.611 317.626 Tm [(Speci\002ed)-317(as:)-447(an)-317(i)1(nteger)-317(value)]TJ/F145 9.9626 Tf 1 0 0 1 313.312 317.626 Tm [(psb_ovt_xhal_)]TJ/F84 9.9626 Tf 1.02 0 0 1 381.307 317.626 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 387.247 317.626 Tm [(psb_ovt_asov_)]TJ/F84 9.9626 Tf 1.02 0 0 1 455.242 317.626 Tm [(,)-335(default:)]TJ/F145 9.9626 Tf 1 0 0 1 175.611 305.671 Tm [(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 -9.963 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 28.344 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 23.999 0 Td [(optional)]TJ/F84 9.9626 Tf 40.678 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 1 175.611 317.626 Tm [(Speci\002ed)-317(as:)-447(an)-317(i)1(nteger)-317(value)]TJ/F147 9.9626 Tf 1 0 0 1 313.312 317.626 Tm [(psb_ovt_xhal_)]TJ/F84 9.9626 Tf 1.02 0 0 1 381.307 317.626 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 387.247 317.626 Tm [(psb_ovt_asov_)]TJ/F84 9.9626 Tf 1.02 0 0 1 455.242 317.626 Tm [(,)-335(default:)]TJ/F147 9.9626 Tf 1 0 0 1 175.611 305.671 Tm [(psb_ovt_xhal_)]TJ 0 g 0 G /F75 9.9626 Tf -24.906 -23.422 Td [(On)-250(Return)]TJ 0 g 0 G @@ -18356,21 +18365,21 @@ BT 0 g 0 G /F84 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.521 -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 -11.956 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(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 213.198 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 363.206 212.998 Td [(desc)]TJ +/F147 9.9626 Tf 363.206 212.998 Td [(desc)]TJ ET q 1 0 0 1 384.755 213.198 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 387.893 212.998 Td [(type)]TJ +/F147 9.9626 Tf 387.893 212.998 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -18384,7 +18393,7 @@ ET endstream endobj -1543 0 obj +1544 0 obj << /Length 1748 >> @@ -18395,11 +18404,11 @@ stream BT /F84 9.9626 Tf 112.349 706.129 Td [(1.)]TJ 0 g 0 G - 0.98 0 0 1 124.802 706.129 Tm [(Specifying)]TJ/F145 9.9626 Tf 1 0 0 1 172.776 706.129 Tm [(psb_ovt_xhal_)]TJ/F84 9.9626 Tf 0.98 0 0 1 243.267 706.129 Tm [(for)-256(the)]TJ/F145 9.9626 Tf 1 0 0 1 274.24 706.129 Tm [(extype)]TJ/F84 9.9626 Tf 0.98 0 0 1 308.119 706.129 Tm [(ar)18(gument)-255(the)-256(user)-256(will)-255(obtain)-256(a)]TJ 0.98 0 0 1 124.802 694.174 Tm [(descriptor)-209(for)-209(a)-209(domain)-209(partition)-209(in)-209(which)-209(the)-209(additional)-209(layers)-209(ar)18(e)-209(fetched)]TJ 1.02 0 0 1 124.802 682.219 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 1 124.802 670.263 Tm [(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ + 0.98 0 0 1 124.802 706.129 Tm [(Specifying)]TJ/F147 9.9626 Tf 1 0 0 1 172.776 706.129 Tm [(psb_ovt_xhal_)]TJ/F84 9.9626 Tf 0.98 0 0 1 243.267 706.129 Tm [(for)-256(the)]TJ/F147 9.9626 Tf 1 0 0 1 274.24 706.129 Tm [(extype)]TJ/F84 9.9626 Tf 0.98 0 0 1 308.119 706.129 Tm [(ar)18(gument)-255(the)-256(user)-256(will)-255(obtain)-256(a)]TJ 0.98 0 0 1 124.802 694.174 Tm [(descriptor)-209(for)-209(a)-209(domain)-209(partition)-209(in)-209(which)-209(the)-209(additional)-209(layers)-209(ar)18(e)-209(fetched)]TJ 1.02 0 0 1 124.802 682.219 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 1 124.802 670.263 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 - 1.018 0 0 1 124.802 650.338 Tm [(Specifying)]TJ/F145 9.9626 Tf 1 0 0 1 174.542 650.338 Tm [(psb_ovt_asov_)]TJ/F84 9.9626 Tf 1.018 0 0 1 245.035 650.338 Tm [(for)-246(the)]TJ/F145 9.9626 Tf 1 0 0 1 277.02 650.338 Tm [(extype)]TJ/F84 9.9626 Tf 1.018 0 0 1 310.901 650.338 Tm [(ar)18(gument)-247(the)-246(user)-246(will)-247(obtain)]TJ 1.02 0 0 1 124.802 638.383 Tm [(a)-267(descriptor)-267(with)-268(an)-267(overlapped)-267(decomposition:)-348(the)-267(additional)-267(layer)-268(is)]TJ 1.02 0 0 1 124.802 626.428 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 1 124.802 614.473 Tm [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ + 1.018 0 0 1 124.802 650.338 Tm [(Specifying)]TJ/F147 9.9626 Tf 1 0 0 1 174.542 650.338 Tm [(psb_ovt_asov_)]TJ/F84 9.9626 Tf 1.018 0 0 1 245.035 650.338 Tm [(for)-246(the)]TJ/F147 9.9626 Tf 1 0 0 1 277.02 650.338 Tm [(extype)]TJ/F84 9.9626 Tf 1.018 0 0 1 310.901 650.338 Tm [(ar)18(gument)-247(the)-246(user)-246(will)-247(obtain)]TJ 1.02 0 0 1 124.802 638.383 Tm [(a)-267(descriptor)-267(with)-268(an)-267(overlapped)-267(decomposition:)-348(the)-267(additional)-267(layer)-268(is)]TJ 1.02 0 0 1 124.802 626.428 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 1 124.802 614.473 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 [(81)]TJ 0 g 0 G @@ -18407,7 +18416,7 @@ ET endstream endobj -1551 0 obj +1552 0 obj << /Length 5951 >> @@ -18425,7 +18434,7 @@ BT /F75 11.9552 Tf 201.825 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -51.12 -19.277 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info)-525([,)-525(nnz,)-525(dupl,)-525(bldmode]\051)]TJ +/F147 9.9626 Tf -51.12 -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 /F75 9.9626 Tf 0 -22.403 Td [(T)90(ype:)]TJ 0 g 0 G @@ -18445,21 +18454,21 @@ BT 0 g 0 G /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 -11.956 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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 575.684 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 363.206 575.485 Td [(desc)]TJ +/F147 9.9626 Tf 363.206 575.485 Td [(desc)]TJ ET q 1 0 0 1 384.755 575.684 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 387.893 575.485 Td [(type)]TJ +/F147 9.9626 Tf 387.893 575.485 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -18469,11 +18478,11 @@ BT 0 g 0 G /F75 9.9626 Tf -24.906 -20.572 Td [(dupl)]TJ 0 g 0 G -/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 -11.956 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 1 175.611 426.745 Tm [(Speci\002ed)-248(as:)-308(integer)74(,)-248(possible)-248(values:)]TJ/F145 9.9626 Tf 1 0 0 1 341.716 426.745 Tm [(psb_dupl_ovwrt_)]TJ/F84 9.9626 Tf 1.006 0 0 1 420.171 426.745 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 425.161 426.745 Tm [(psb_dupl_add_)]TJ/F84 9.9626 Tf 1.006 0 0 1 493.156 426.745 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 175.611 414.79 Tm [(psb_dupl_err_)]TJ/F84 9.9626 Tf 67.995 0 Td [(.)]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 -11.956 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 1 175.611 426.745 Tm [(Speci\002ed)-248(as:)-308(integer)74(,)-248(possible)-248(values:)]TJ/F147 9.9626 Tf 1 0 0 1 341.716 426.745 Tm [(psb_dupl_ovwrt_)]TJ/F84 9.9626 Tf 1.006 0 0 1 420.171 426.745 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 425.161 426.745 Tm [(psb_dupl_add_)]TJ/F84 9.9626 Tf 1.006 0 0 1 493.156 426.745 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 175.611 414.79 Tm [(psb_dupl_err_)]TJ/F84 9.9626 Tf 67.995 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -92.901 -20.572 Td [(bldmode)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 196.144 394.218 Tm [(Whether)-327(to)-327(keep)-327(track)-327(of)-327(matrix)-327(entries)-327(that)-327(do)-327(not)-327(belong)-327(to)-327(the)]TJ 1 0 0 1 175.611 382.263 Tm [(curr)18(ent)-250(pr)18(ocess.)]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 -60.522 -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 0.98 0 0 1 175.611 334.443 Tm [(Speci\002ed)-194(as:)-286(an)-193(integer)-194(value)]TJ/F145 9.9626 Tf 1 0 0 1 301.54 334.443 Tm [(psb_matbld_noremote_)]TJ/F84 9.9626 Tf 0.98 0 0 1 406.147 334.443 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 410.601 334.443 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 0.98 0 0 1 504.747 334.443 Tm [(.)]TJ 1 0 0 1 175.611 322.487 Tm [(Default:)]TJ/F145 9.9626 Tf 38.516 0 Td [(psb_matbld_noremote_)]TJ/F84 9.9626 Tf 104.606 0 Td [(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 196.144 394.218 Tm [(Whether)-327(to)-327(keep)-327(track)-327(of)-327(matrix)-327(entries)-327(that)-327(do)-327(not)-327(belong)-327(to)-327(the)]TJ 1 0 0 1 175.611 382.263 Tm [(curr)18(ent)-250(pr)18(ocess.)]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 -60.522 -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 0.98 0 0 1 175.611 334.443 Tm [(Speci\002ed)-194(as:)-286(an)-193(integer)-194(value)]TJ/F147 9.9626 Tf 1 0 0 1 301.54 334.443 Tm [(psb_matbld_noremote_)]TJ/F84 9.9626 Tf 0.98 0 0 1 406.147 334.443 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 410.601 334.443 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 0.98 0 0 1 504.747 334.443 Tm [(.)]TJ 1 0 0 1 175.611 322.487 Tm [(Default:)]TJ/F147 9.9626 Tf 38.516 0 Td [(psb_matbld_noremote_)]TJ/F84 9.9626 Tf 104.606 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -168.028 -22.402 Td [(On)-250(Return)]TJ 0 g 0 G @@ -18482,21 +18491,21 @@ BT 0 g 0 G /F84 9.9626 Tf 9.962 0 Td [(the)-250(matrix)-250(to)-250(be)-250(allocated.)]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 [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 231.892 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 363.206 231.692 Td [(Tspmat)]TJ +/F147 9.9626 Tf 363.206 231.692 Td [(Tspmat)]TJ ET q 1 0 0 1 395.216 231.892 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 398.354 231.692 Td [(type)]TJ +/F147 9.9626 Tf 398.354 231.692 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -18514,9 +18523,9 @@ ET endstream endobj -1556 0 obj +1557 0 obj << -/Length 1305 +/Length 1255 >> stream 0 g 0 G @@ -18529,19 +18538,19 @@ BT 0 g 0 G 0 -19.925 Td [(3.)]TJ 0 g 0 G - 0.993 0 0 1 124.802 686.204 Tm [(Pr)18(oviding)-250(a)-251(good)-251(estimate)-250(for)-251(the)-251(number)-250(of)-251(nonzer)18(oes)]TJ/F78 9.9626 Tf 1 0 0 1 369.235 686.204 Tm [(n)-25(n)-25(z)]TJ/F84 9.9626 Tf 0.993 0 0 1 387.839 686.204 Tm [(in)-251(the)-250(assem-)]TJ 1.014 0 0 1 124.802 674.248 Tm [(bled)-245(matrix)-246(may)-245(substantially)-245(impr)17(ove)-245(performance)-245(in)-246(the)-245(matrix)-245(build)]TJ 1.02 0 0 1 124.503 662.293 Tm [(phase,)-315(as)-302(it)-301(will)-301(r)18(educe)-302(or)-301(eliminate)-301(the)-301(need)-302(for)-301(\050potentially)-301(multiple\051)]TJ 1 0 0 1 124.802 650.338 Tm [(data)-250(r)18(eallocations;)]TJ + 0.993 0 0 1 124.802 686.204 Tm [(Pr)18(oviding)-250(a)-251(good)-251(estimate)-250(for)-251(the)-251(number)-250(of)-251(nonzer)18(oes)]TJ/F78 9.9626 Tf 1 0 0 1 369.235 686.204 Tm [(n)-25(n)-25(z)]TJ/F84 9.9626 Tf 0.993 0 0 1 387.839 686.204 Tm [(in)-251(the)-250(assem-)]TJ 0.98 0 0 1 124.802 674.248 Tm [(bled)-240(matrix)-241(may)-240(impr)18(ove)-240(performance)-240(in)-240(the)-241(matrix)-240(build)-240(phase,)-244(as)-240(it)-240(will)]TJ 1 0 0 1 124.802 662.293 Tm [(r)18(educe)-250(or)-250(eliminate)-250(the)-250(need)-250(for)-250(\050potentially)-250(multiple\051)-250(data)-250(r)18(eallocations;)]TJ 0 g 0 G -12.453 -19.925 Td [(4.)]TJ 0 g 0 G - 1.02 0 0 1 124.802 630.413 Tm [(Using)]TJ/F145 9.9626 Tf 1 0 0 1 154.449 630.413 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 1.02 0 0 1 251.507 630.413 Tm [(is)-287(likely)-286(to)-287(cause)-286(a)-287(r)8(untime)-286(over)17(head)-286(at)-287(as-)]TJ 1 0 0 1 124.802 618.458 Tm [(sembly)-250(time;)]TJ + 1.02 0 0 1 124.802 642.368 Tm [(Using)]TJ/F147 9.9626 Tf 1 0 0 1 154.449 642.368 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 1.02 0 0 1 251.507 642.368 Tm [(is)-287(likely)-286(to)-287(cause)-286(a)-287(r)8(untime)-286(over)17(head)-286(at)-287(as-)]TJ 1 0 0 1 124.802 630.413 Tm [(sembly)-250(time;)]TJ 0 g 0 G - 141.968 -528.02 Td [(83)]TJ + 141.968 -539.975 Td [(83)]TJ 0 g 0 G ET endstream endobj -1564 0 obj +1565 0 obj << /Length 5490 >> @@ -18559,7 +18568,7 @@ BT /F75 11.9552 Tf 0.994 0 0 1 201.706 706.129 Tm [(spins)-251(\227)-252(Insert)-251(a)-252(set)-251(of)-251(coef)18(\002cients)-252(into)-251(a)-251(sparse)-252(matrix)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf 1 0 0 1 150.705 685.756 Tm [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 -11.956 Td [(call)-525(psb_spins\050nr,)-525(irw,)-525(irp,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ +/F147 9.9626 Tf 1 0 0 1 150.705 685.756 Tm [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 -11.956 Td [(call)-525(psb_spins\050nr,)-525(irw,)-525(irp,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -24.099 Td [(T)90(ype:)]TJ 0 g 0 G @@ -18586,7 +18595,7 @@ BT 0 g 0 G /F75 9.9626 Tf -196.043 -22.834 Td [(irp)]TJ 0 g 0 G -/F84 9.9626 Tf 18.261 0 Td [(the)-250(r)18(ow)-250(pointers)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 6.646 -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(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F78 9.9626 Tf 160.8 0 Td [(n)-15(r)]TJ/F192 10.3811 Tf 11.85 0 Td [(+)]TJ/F84 9.9626 Tf 10.131 0 Td [(1.)]TJ +/F84 9.9626 Tf 18.261 0 Td [(the)-250(r)18(ow)-250(pointers)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 6.646 -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(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F78 9.9626 Tf 160.8 0 Td [(n)-15(r)]TJ/F197 10.3811 Tf 11.85 0 Td [(+)]TJ/F84 9.9626 Tf 10.131 0 Td [(1.)]TJ 0 g 0 G /F75 9.9626 Tf -207.688 -22.835 Td [(ja)]TJ 0 g 0 G @@ -18602,7 +18611,7 @@ ET endstream endobj -1570 0 obj +1571 0 obj << /Length 7379 >> @@ -18622,27 +18631,27 @@ BT 0 g 0 G /F84 9.9626 Tf 9.654 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 -53.32 -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 -11.956 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(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 136.327 0 Td [(psb)]TJ +/F147 9.9626 Tf 136.327 0 Td [(psb)]TJ ET q 1 0 0 1 277.448 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 280.586 658.308 Td [(desc)]TJ +/F147 9.9626 Tf 280.586 658.308 Td [(desc)]TJ ET q 1 0 0 1 302.135 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 305.273 658.308 Td [(type)]TJ +/F147 9.9626 Tf 305.273 658.308 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -226.3 -33.398 Td [(local)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 125.957 624.91 Tm [(Whether)-378(the)-378(entries)-378(in)-377(the)-378(indices)-378(vectors)]TJ/F145 9.9626 Tf 1 0 0 1 323.219 624.91 Tm [(ia)]TJ/F84 9.9626 Tf 1.02 0 0 1 333.679 624.91 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 340.397 624.91 Tm [(ja)]TJ/F84 9.9626 Tf 1.02 0 0 1 354.698 624.91 Tm [(ar)18(e)-378(alr)17(eady)-377(in)-378(local)]TJ 1 0 0 1 124.802 612.954 Tm [(numbering.)]TJ 0 -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 [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F145 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F84 9.9626 Tf 36.612 0 Td [(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 125.957 624.91 Tm [(Whether)-378(the)-378(entries)-378(in)-377(the)-378(indices)-378(vectors)]TJ/F147 9.9626 Tf 1 0 0 1 323.219 624.91 Tm [(ia)]TJ/F84 9.9626 Tf 1.02 0 0 1 333.679 624.91 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 340.397 624.91 Tm [(ja)]TJ/F84 9.9626 Tf 1.02 0 0 1 354.698 624.91 Tm [(ar)18(e)-378(alr)17(eady)-377(in)-378(local)]TJ 1 0 0 1 124.802 612.954 Tm [(numbering.)]TJ 0 -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 [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F147 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F84 9.9626 Tf 36.612 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -224.197 -23.056 Td [(On)-250(Return)]TJ 0 g 0 G @@ -18651,21 +18660,21 @@ BT 0 g 0 G /F84 9.9626 Tf 9.963 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 28.343 0 Td [(local)]TJ/F84 9.9626 Tf -28.652 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 24 0 Td [(required)]TJ/F84 9.9626 Tf -23.691 -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 -11.956 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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 484.968 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 312.397 484.768 Td [(Tspmat)]TJ +/F147 9.9626 Tf 312.397 484.768 Td [(Tspmat)]TJ ET q 1 0 0 1 344.406 484.968 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 347.544 484.768 Td [(type)]TJ +/F147 9.9626 Tf 347.544 484.768 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -18680,21 +18689,21 @@ BT 0 g 0 G /F84 9.9626 Tf 9.654 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 -53.32 -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 -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 -/F145 9.9626 Tf 136.327 0 Td [(psb)]TJ +/F147 9.9626 Tf 136.327 0 Td [(psb)]TJ ET q 1 0 0 1 277.448 415.704 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 280.586 415.504 Td [(desc)]TJ +/F147 9.9626 Tf 280.586 415.504 Td [(desc)]TJ ET q 1 0 0 1 302.135 415.704 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 305.273 415.504 Td [(type)]TJ +/F147 9.9626 Tf 305.273 415.504 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -18712,7 +18721,7 @@ BT 0 g 0 G -12.453 -21.444 Td [(3.)]TJ 0 g 0 G - 1.006 0 0 1 124.802 222.988 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 1 124.802 211.033 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/F145 9.9626 Tf 1 0 0 1 396.533 211.033 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 1.005 0 0 1 124.802 199.078 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 1 124.802 187.123 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)-377(for)-378(the)]TJ 1 0 0 1 124.802 175.168 Tm [(appr)18(opriate)-250(pr)18(ocessing;)]TJ + 1.006 0 0 1 124.802 222.988 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 1 124.802 211.033 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/F147 9.9626 Tf 1 0 0 1 396.533 211.033 Tm [(psb_cdins)]TJ/F84 9.9626 Tf 1.005 0 0 1 124.802 199.078 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 1 124.802 187.123 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)-377(for)-378(the)]TJ 1 0 0 1 124.802 175.168 Tm [(appr)18(opriate)-250(pr)18(ocessing;)]TJ 0 g 0 G -12.453 -21.444 Td [(4.)]TJ 0 g 0 G @@ -18720,7 +18729,7 @@ BT 0 g 0 G 0 -21.443 Td [(5.)]TJ 0 g 0 G - 1.02 0 0 1 124.802 132.281 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 1 124.802 120.326 Tm [(der)18(ed)-253(triples)]TJ/F78 9.9626 Tf 1 0 0 1 182.455 120.326 Tm [(i)-47(a)]TJ/F192 10.3811 Tf 7.91 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 0.985 0 0 1 201.807 120.326 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 206.394 120.326 Tm [(j)-40(a)]TJ/F192 10.3811 Tf 7.841 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 0.985 0 0 1 225.677 120.326 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 229.915 120.326 Tm [(v)-40(a)-25(l)]TJ/F192 10.3811 Tf 13.37 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 0.985 0 0 1 254.727 120.326 Tm [(,)-253(for)]TJ/F78 9.9626 Tf 1 0 0 1 274.702 120.326 Tm [(i)]TJ/F192 10.3811 Tf 5.856 0 Td [(=)]TJ/F84 9.9626 Tf 0.985 0 0 1 291.52 120.326 Tm [(1,)]TJ 1 0 0 1 300.664 120.326 Tm [(.)-192(.)-191(.)]TJ 0.985 0 0 1 313.74 120.326 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 317.978 120.326 Tm [(n)-25(z)]TJ/F84 9.9626 Tf 0.985 0 0 1 328.315 120.326 Tm [(;)-253(these)-253(triples)-253(ar)18(e)-253(arbitrary;)]TJ + 1.02 0 0 1 124.802 132.281 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 1 124.802 120.326 Tm [(der)18(ed)-253(triples)]TJ/F78 9.9626 Tf 1 0 0 1 182.455 120.326 Tm [(i)-47(a)]TJ/F197 10.3811 Tf 7.91 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 0.985 0 0 1 201.807 120.326 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 206.394 120.326 Tm [(j)-40(a)]TJ/F197 10.3811 Tf 7.841 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 0.985 0 0 1 225.677 120.326 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 229.915 120.326 Tm [(v)-40(a)-25(l)]TJ/F197 10.3811 Tf 13.37 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 0.985 0 0 1 254.727 120.326 Tm [(,)-253(for)]TJ/F78 9.9626 Tf 1 0 0 1 274.702 120.326 Tm [(i)]TJ/F197 10.3811 Tf 5.856 0 Td [(=)]TJ/F84 9.9626 Tf 0.985 0 0 1 291.52 120.326 Tm [(1,)]TJ 1 0 0 1 300.664 120.326 Tm [(.)-192(.)-191(.)]TJ 0.985 0 0 1 313.74 120.326 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 317.978 120.326 Tm [(n)-25(z)]TJ/F84 9.9626 Tf 0.985 0 0 1 328.315 120.326 Tm [(;)-253(these)-253(triples)-253(ar)18(e)-253(arbitrary;)]TJ 0 g 0 G 1 0 0 1 266.77 90.438 Tm [(85)]TJ 0 g 0 G @@ -18728,9 +18737,9 @@ ET endstream endobj -1580 0 obj +1581 0 obj << -/Length 5304 +/Length 5341 >> stream 0 g 0 G @@ -18739,7 +18748,7 @@ stream BT /F84 9.9626 Tf 163.158 706.129 Td [(6.)]TJ 0 g 0 G - 1.02 0 0 1 175.611 706.129 Tm [(In)-389(CSR)-388(format)-389(the)-388(coef)17(\002)1(cients)-389(to)-388(be)-389(inserted)-388(for)-389(each)-389(inpu)1(t)-389(r)18(ow)]TJ/F78 9.9626 Tf 1 0 0 1 477.666 706.129 Tm [(i)]TJ/F192 10.3811 Tf 8.556 0 Td [(=)]TJ/F84 9.9626 Tf 1.017 0 0 1 175.113 694.174 Tm [(1,)]TJ/F78 9.9626 Tf 1 0 0 1 184.497 694.174 Tm [(n)-15(r)]TJ/F84 9.9626 Tf 1.017 0 0 1 196.778 694.174 Tm [(ar)18(e)-246(r)17(epr)18(esented)-246(by)-246(the)-246(or)18(der)18(ed)-246(triples)]TJ/F192 10.3811 Tf 1 0 0 1 367.425 694.174 Tm [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 5.026 0 Td [(+)]TJ/F78 9.9626 Tf 10.186 0 Td [(i)-22(r)-35(w)]TJ/F190 10.3811 Tf 16.593 0 Td [(\000)]TJ/F84 9.9626 Tf 1.017 0 0 1 413.566 694.174 Tm [(1)]TJ/F192 10.3811 Tf 1 0 0 1 418.756 694.174 Tm [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 422.906 694.174 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 427.572 694.174 Tm [(j)-40(a)]TJ/F192 10.3811 Tf 7.841 0 Td [(\050)]TJ/F78 9.9626 Tf 4.622 0 Td [(j)]TJ/F192 10.3811 Tf 3.019 0 Td [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 447.203 694.174 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 451.521 694.174 Tm [(v)-40(a)-25(l)]TJ/F192 10.3811 Tf 13.37 0 Td [(\050)]TJ/F78 9.9626 Tf 4.623 0 Td [(j)]TJ/F192 10.3811 Tf 3.018 0 Td [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 476.682 694.174 Tm [(,)-246(for)]TJ/F78 9.9626 Tf 1 0 0 1 176.085 682.219 Tm [(j)]TJ/F192 10.3811 Tf 6.885 0 Td [(=)]TJ/F78 9.9626 Tf 12.116 0 Td [(i)-22(r)-90(p)]TJ/F192 10.3811 Tf 12.991 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 219.519 682.219 Tm [(,)]TJ 1 0 0 1 223.844 682.219 Tm [(.)-192(.)-191(.)]TJ 1.02 0 0 1 236.92 682.219 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 241.175 682.219 Tm [(i)-22(r)-90(p)]TJ/F192 10.3811 Tf 12.991 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F192 10.3811 Tf 5.245 0 Td [(+)]TJ/F84 9.9626 Tf 1.02 0 0 1 273.967 682.219 Tm [(1)]TJ/F192 10.3811 Tf 1 0 0 1 279.173 682.219 Tm [(\051)]TJ/F190 10.3811 Tf 6.431 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 295.955 682.219 Tm [(1;)-333(these)-303(triples)-304(should)-303(belong)-304(to)-303(the)-304(curr)18(ent)]TJ 0.98 0 0 1 175.313 670.263 Tm [(pr)18(ocess,)-219(i.e.)]TJ/F78 9.9626 Tf 1 0 0 1 227.459 670.263 Tm [(i)]TJ/F192 10.3811 Tf 4.622 0 Td [(+)]TJ/F78 9.9626 Tf 9.782 0 Td [(i)-22(r)-35(w)]TJ/F190 10.3811 Tf 16.189 0 Td [(\000)]TJ/F84 9.9626 Tf 0.98 0 0 1 267.779 670.263 Tm [(1)-211(shou)1(ld)-211(be)-210(one)-211(of)-210(the)-211(local)-210(indices,)-220(but)-210(ar)18(e)-210(otherwise)]TJ 1 0 0 1 175.611 658.308 Tm [(arbitrary;)]TJ + 1.02 0 0 1 175.611 706.129 Tm [(In)-389(CSR)-388(format)-389(the)-388(coef)17(\002)1(cients)-389(to)-388(be)-389(inserted)-388(for)-389(each)-389(inpu)1(t)-389(r)18(ow)]TJ/F78 9.9626 Tf 1 0 0 1 477.666 706.129 Tm [(i)]TJ/F197 10.3811 Tf 8.556 0 Td [(=)]TJ/F84 9.9626 Tf 1.017 0 0 1 175.113 694.174 Tm [(1,)]TJ/F78 9.9626 Tf 1 0 0 1 184.497 694.174 Tm [(n)-15(r)]TJ/F84 9.9626 Tf 1.017 0 0 1 196.778 694.174 Tm [(ar)18(e)-246(r)17(epr)18(esented)-246(by)-246(the)-246(or)18(der)18(ed)-246(triples)]TJ/F197 10.3811 Tf 1 0 0 1 367.425 694.174 Tm [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 5.026 0 Td [(+)]TJ/F78 9.9626 Tf 10.186 0 Td [(i)-22(r)-35(w)]TJ/F195 10.3811 Tf 16.593 0 Td [(\000)]TJ/F84 9.9626 Tf 1.017 0 0 1 413.566 694.174 Tm [(1)]TJ/F197 10.3811 Tf 1 0 0 1 418.756 694.174 Tm [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 422.906 694.174 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 427.572 694.174 Tm [(j)-40(a)]TJ/F197 10.3811 Tf 7.841 0 Td [(\050)]TJ/F78 9.9626 Tf 4.622 0 Td [(j)]TJ/F197 10.3811 Tf 3.019 0 Td [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 447.203 694.174 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 451.521 694.174 Tm [(v)-40(a)-25(l)]TJ/F197 10.3811 Tf 13.37 0 Td [(\050)]TJ/F78 9.9626 Tf 4.623 0 Td [(j)]TJ/F197 10.3811 Tf 3.018 0 Td [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 476.682 694.174 Tm [(,)-246(for)]TJ/F78 9.9626 Tf 1 0 0 1 176.085 682.219 Tm [(j)]TJ/F197 10.3811 Tf 6.885 0 Td [(=)]TJ/F78 9.9626 Tf 12.116 0 Td [(i)-22(r)-90(p)]TJ/F197 10.3811 Tf 12.991 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 219.519 682.219 Tm [(,)]TJ 1 0 0 1 223.844 682.219 Tm [(.)-192(.)-191(.)]TJ 1.02 0 0 1 236.92 682.219 Tm [(,)]TJ/F78 9.9626 Tf 1 0 0 1 241.175 682.219 Tm [(i)-22(r)-90(p)]TJ/F197 10.3811 Tf 12.991 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F197 10.3811 Tf 5.245 0 Td [(+)]TJ/F84 9.9626 Tf 1.02 0 0 1 273.967 682.219 Tm [(1)]TJ/F197 10.3811 Tf 1 0 0 1 279.173 682.219 Tm [(\051)]TJ/F195 10.3811 Tf 6.431 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 295.955 682.219 Tm [(1;)-333(these)-303(triples)-304(should)-303(belong)-304(to)-303(the)-304(curr)18(ent)]TJ 0.98 0 0 1 175.313 670.263 Tm [(pr)18(ocess,)-219(i.e.)]TJ/F78 9.9626 Tf 1 0 0 1 227.459 670.263 Tm [(i)]TJ/F197 10.3811 Tf 4.622 0 Td [(+)]TJ/F78 9.9626 Tf 9.782 0 Td [(i)-22(r)-35(w)]TJ/F195 10.3811 Tf 16.189 0 Td [(\000)]TJ/F84 9.9626 Tf 0.98 0 0 1 267.779 670.263 Tm [(1)-211(shou)1(ld)-211(be)-210(one)-211(of)-210(the)-211(local)-210(indices,)-220(but)-210(ar)18(e)-210(otherwise)]TJ 1 0 0 1 175.611 658.308 Tm [(arbitrary;)]TJ 0 g 0 G -12.453 -19.925 Td [(7.)]TJ 0 g 0 G @@ -18747,11 +18756,11 @@ BT 0 g 0 G -12.453 -19.926 Td [(8.)]TJ 0 g 0 G - 1.016 0 0 1 175.611 594.547 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 1 175.611 582.592 Tm [(call,)-250(accor)18(ding)-250(to)-250(the)-250(application)-250(needs;)]TJ + 1.016 0 0 1 175.611 594.547 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 1 175.611 582.592 Tm [(call)-250(\050in)-250(COO)-250(format\051,)-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 - 0.98 0 0 1 175.611 562.667 Tm [(Coef)18(\002cients)-229(fr)18(om)-228(matrix)-229(r)18(ows)-229(not)-229(owned)-229(by)-229(the)-229(calling)-229(p)1(r)18(ocess)-229(ar)18(e)-229(tr)19(eated)]TJ 1.002 0 0 1 175.611 550.712 Tm [(accor)18(ding)-250(to)-249(the)-249(value)-250(of)]TJ/F145 9.9626 Tf 1 0 0 1 287.159 550.712 Tm [(bldmode)]TJ/F84 9.9626 Tf 1.002 0 0 1 326.262 550.712 Tm [(speci\002ed)-249(at)-250(allocation)-249(time;)-250(if)]TJ/F145 9.9626 Tf 1 0 0 1 457.804 550.712 Tm [(bldmode)]TJ/F84 9.9626 Tf 1.02 0 0 1 175.193 538.757 Tm [(was)-272(chosen)-273(as)]TJ/F145 9.9626 Tf 1 0 0 1 241.813 538.757 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 1.02 0 0 1 338.726 538.757 Tm [(the)-272(library)-273(wi)1(ll)-273(keep)-272(track)-272(of)-273(them,)]TJ 1 0 0 1 175.611 526.801 Tm [(otherwise)-250(they)-250(ar)18(e)-250(silently)-250(ignor)18(ed;)]TJ + 0.98 0 0 1 175.611 562.667 Tm [(Coef)18(\002cients)-229(fr)18(om)-228(matrix)-229(r)18(ows)-229(not)-229(owned)-229(by)-229(the)-229(calling)-229(p)1(r)18(ocess)-229(ar)18(e)-229(tr)19(eated)]TJ 1.002 0 0 1 175.611 550.712 Tm [(accor)18(ding)-250(to)-249(the)-249(value)-250(of)]TJ/F147 9.9626 Tf 1 0 0 1 287.159 550.712 Tm [(bldmode)]TJ/F84 9.9626 Tf 1.002 0 0 1 326.262 550.712 Tm [(speci\002ed)-249(at)-250(allocation)-249(time;)-250(if)]TJ/F147 9.9626 Tf 1 0 0 1 457.804 550.712 Tm [(bldmode)]TJ/F84 9.9626 Tf 1.02 0 0 1 175.193 538.757 Tm [(was)-272(chosen)-273(as)]TJ/F147 9.9626 Tf 1 0 0 1 241.813 538.757 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 1.02 0 0 1 338.726 538.757 Tm [(the)-272(library)-273(wi)1(ll)-273(keep)-272(track)-272(of)-273(them,)]TJ 1 0 0 1 175.611 526.801 Tm [(otherwise)-250(they)-250(ar)18(e)-250(silently)-250(ignor)18(ed;)]TJ 0 g 0 G -17.434 -19.925 Td [(10.)]TJ 0 g 0 G @@ -18767,7 +18776,7 @@ ET endstream endobj -1593 0 obj +1594 0 obj << /Length 6893 >> @@ -18785,7 +18794,7 @@ BT /F75 11.9552 Tf 151.016 706.129 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -51.121 -19.204 Td [(call)-525(psb_spasb\050a,)-525(desc_a,)-525(info)-525([,)-525(afmt,)-525(upd,)-1050(mold]\051)]TJ +/F147 9.9626 Tf -51.121 -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 /F75 9.9626 Tf 0 -22.289 Td [(T)90(ype:)]TJ 0 g 0 G @@ -18805,21 +18814,21 @@ BT 0 g 0 G /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 [(in/out)]TJ/F84 9.9626 Tf 27.298 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 -/F145 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[(Speci\002ed)-250(as:)-310(integer)74(,)-250(possible)-250(values:)]TJ/F145 9.9626 Tf 165.218 0 Td [(psb_upd_srch_)]TJ/F84 9.9626 Tf 67.995 0 Td [(,)]TJ/F145 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 1.664 -11.956 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf 28.782 0 Td [(.)]TJ -60.523 -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(integer)74(,)-250(possible)-250(values:)]TJ/F147 9.9626 Tf 165.218 0 Td [(psb_upd_srch_)]TJ/F84 9.9626 Tf 67.995 0 Td [(,)]TJ/F147 9.9626 Tf 4.981 0 Td [(psb_upd_perm_)]TJ 0 g 0 G /F75 9.9626 Tf -263.101 -20.421 Td [(mold)]TJ 0 g 0 G -/F84 9.9626 Tf 28.473 0 Td 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0 l S Q BT -/F145 9.9626 Tf 363.206 495.882 Td [(desc)]TJ +/F147 9.9626 Tf 363.206 495.882 Td [(desc)]TJ ET q 1 0 0 1 384.755 496.082 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 387.893 495.882 Td [(type)]TJ +/F147 9.9626 Tf 387.893 495.882 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -19743,7 +19752,7 @@ ET endstream endobj -1624 0 obj +1625 0 obj << /Length 6512 >> @@ -19761,7 +19770,7 @@ BT /F75 11.9552 Tf 156.993 706.129 Td [(geall)-250(\227)-250(Allocates)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F145 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 +/F147 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 /F75 9.9626 Tf 0 -19.627 Td [(T)90(ype:)]TJ 0 g 0 G @@ -19781,21 +19790,21 @@ BT 0 g 0 G /F84 9.9626 Tf 9.654 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 -31.741 -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(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 136.327 0 Td [(psb)]TJ +/F147 9.9626 Tf 136.327 0 Td [(psb)]TJ ET q 1 0 0 1 277.448 581.898 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 280.586 581.699 Td [(desc)]TJ +/F147 9.9626 Tf 280.586 581.699 Td [(desc)]TJ ET q 1 0 0 1 302.135 581.898 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 305.273 581.699 Td [(type)]TJ +/F147 9.9626 Tf 305.273 581.699 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G @@ -19809,11 +19818,11 @@ BT 0 g 0 G /F75 9.9626 Tf -24.907 -19.009 Td [(dupl)]TJ 0 g 0 G -/F84 9.9626 Tf 26.561 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 -60.523 -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 1.006 0 0 1 124.802 333.389 Tm [(Speci\002ed)-248(as:)-308(inte)1(ger)73(,)-248(possible)-248(values:)]TJ/F145 9.9626 Tf 1 0 0 1 290.906 333.389 Tm [(psb_dupl_ovwrt_)]TJ/F84 9.9626 Tf 1.006 0 0 1 369.361 333.389 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 374.352 333.389 Tm [(psb_dupl_add_)]TJ/F84 9.9626 Tf 1.006 0 0 1 442.346 333.389 Tm [(;)]TJ/F145 9.9626 Tf 1 0 0 1 124.802 321.433 Tm [(psb_dupl_err_)]TJ/F84 9.9626 Tf 70.485 0 Td [(has)-250(no)-250(ef)18(fect.)]TJ +/F84 9.9626 Tf 26.561 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 -60.523 -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 1.006 0 0 1 124.802 333.389 Tm [(Speci\002ed)-248(as:)-308(inte)1(ger)73(,)-248(possible)-248(values:)]TJ/F147 9.9626 Tf 1 0 0 1 290.906 333.389 Tm [(psb_dupl_ovwrt_)]TJ/F84 9.9626 Tf 1.006 0 0 1 369.361 333.389 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 374.352 333.389 Tm [(psb_dupl_add_)]TJ/F84 9.9626 Tf 1.006 0 0 1 442.346 333.389 Tm [(;)]TJ/F147 9.9626 Tf 1 0 0 1 124.802 321.433 Tm [(psb_dupl_err_)]TJ/F84 9.9626 Tf 70.485 0 Td [(has)-250(no)-250(ef)18(fect.)]TJ 0 g 0 G /F75 9.9626 Tf -95.392 -19.009 Td [(bldmode)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 145.335 302.424 Tm [(Whether)-327(to)-327(keep)-327(track)-327(of)-327(matrix)-327(entries)-327(that)-327(do)-327(not)-327(belong)-327(to)-327(the)]TJ 1 0 0 1 124.802 290.469 Tm [(curr)18(ent)-250(pr)18(ocess.)]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 0.98 0 0 1 124.802 242.648 Tm [(Speci\002ed)-194(as:)-286(an)-193(integer)-194(value)]TJ/F145 9.9626 Tf 1 0 0 1 250.731 242.648 Tm [(psb_matbld_noremote_)]TJ/F84 9.9626 Tf 0.98 0 0 1 355.338 242.648 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 359.791 242.648 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 0.98 0 0 1 453.937 242.648 Tm [(.)]TJ 1 0 0 1 124.802 230.693 Tm [(Default:)]TJ/F145 9.9626 Tf 38.515 0 Td [(psb_matbld_noremote_)]TJ/F84 9.9626 Tf 104.607 0 Td [(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 145.335 302.424 Tm [(Whether)-327(to)-327(keep)-327(track)-327(of)-327(matrix)-327(entries)-327(that)-327(do)-327(not)-327(belong)-327(to)-327(the)]TJ 1 0 0 1 124.802 290.469 Tm [(curr)18(ent)-250(pr)18(ocess.)]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 0.98 0 0 1 124.802 242.648 Tm [(Speci\002ed)-194(as:)-286(an)-193(integer)-194(value)]TJ/F147 9.9626 Tf 1 0 0 1 250.731 242.648 Tm [(psb_matbld_noremote_)]TJ/F84 9.9626 Tf 0.98 0 0 1 355.338 242.648 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 359.791 242.648 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 0.98 0 0 1 453.937 242.648 Tm [(.)]TJ 1 0 0 1 124.802 230.693 Tm [(Default:)]TJ/F147 9.9626 Tf 38.515 0 Td [(psb_matbld_noremote_)]TJ/F84 9.9626 Tf 104.607 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -168.029 -19.627 Td [(On)-250(Return)]TJ 0 g 0 G @@ -19822,28 +19831,28 @@ BT 0 g 0 G /F84 9.9626 Tf 9.654 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 15.253 -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 1.01 0 0 1 124.802 144.236 Tm [(Speci\002ed)-247(as:)-306(a)-247(rank)-246(one)-247(or)-246(two)-247(array)-246(with)-247(the)-246(ALLOCA)73(T)73(ABLE)-246(attribute)]TJ 1 0 0 1 124.802 132.281 Tm [(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 86.634 0 Td [(psb)]TJ +/F147 9.9626 Tf 86.634 0 Td [(psb)]TJ ET q 1 0 0 1 227.755 132.48 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 230.893 132.281 Td [(T)]TJ +/F147 9.9626 Tf 230.893 132.281 Td [(T)]TJ ET q 1 0 0 1 236.751 132.48 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 239.889 132.281 Td [(vect)]TJ +/F147 9.9626 Tf 239.889 132.281 Td [(vect)]TJ ET q 1 0 0 1 261.438 132.48 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 264.576 132.281 Td [(type)]TJ +/F147 9.9626 Tf 264.576 132.281 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G @@ -19853,7 +19862,7 @@ ET endstream endobj -1629 0 obj +1630 0 obj << /Length 991 >> @@ -19868,7 +19877,7 @@ BT 0 g 0 G /F84 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - 1.02 0 0 1 175.611 616.465 Tm [(Using)]TJ/F145 9.9626 Tf 1 0 0 1 205.259 616.465 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 1.02 0 0 1 302.317 616.465 Tm [(is)-287(li)1(kely)-287(to)-287(cause)-286(a)-287(r)8(untime)-286(over)17(head)-286(at)-287(as-)]TJ 1 0 0 1 175.611 604.51 Tm [(sembly)-250(time;)]TJ + 1.02 0 0 1 175.611 616.465 Tm [(Using)]TJ/F147 9.9626 Tf 1 0 0 1 205.259 616.465 Tm [(psb_matbld_remote_)]TJ/F84 9.9626 Tf 1.02 0 0 1 302.317 616.465 Tm [(is)-287(li)1(kely)-287(to)-287(cause)-286(a)-287(r)8(untime)-286(over)17(head)-286(at)-287(as-)]TJ 1 0 0 1 175.611 604.51 Tm [(sembly)-250(time;)]TJ 0 g 0 G 141.968 -514.072 Td [(92)]TJ 0 g 0 G @@ -19876,7 +19885,7 @@ ET endstream endobj -1636 0 obj +1637 0 obj << /Length 6572 >> @@ -19894,7 +19903,7 @@ BT /F75 11.9552 Tf 156.993 706.129 Td [(geins)-250(\227)-250(Dense)-250(matrix)-250(insertion)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geins\050m,)-525(irw,)-525(val,)-525(x,)-525(desc_a,)-525(info)-525([,local]\051)]TJ +/F147 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geins\050m,)-525(irw,)-525(val,)-525(x,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -20.57 Td [(T)90(ype:)]TJ 0 g 0 G @@ -19909,7 +19918,7 @@ BT 0 g 0 G /F75 9.9626 Tf -24.907 -19.386 Td [(irw)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 120.368 560.616 Tm [(Indices)-354(of)-353(the)-354(r)18(ows)-354(to)-353(be)-354(inserted.)-629(Speci\002cally)109(,)-381(r)18(ow)]TJ/F78 9.9626 Tf 1 0 0 1 361.94 560.616 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 368.497 560.616 Tm [(of)]TJ/F78 9.9626 Tf 1 0 0 1 381.147 560.616 Tm [(v)-40(a)-25(l)]TJ/F84 9.9626 Tf 1.02 0 0 1 397.986 560.616 Tm [(will)-354(be)-353(in-)]TJ 1.02 0 0 1 124.802 548.661 Tm [(serted)-307(into)-307(the)-307(local)-308(r)18(ow)-307(corr)18(esponding)-308(to)-307(the)-307(global)-307(r)18(ow)-308(index)]TJ/F78 9.9626 Tf 1 0 0 1 416.713 548.661 Tm [(i)-22(r)-35(w)]TJ/F192 10.3811 Tf 14.654 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 442.809 548.661 Tm [(.)]TJ 1 0 0 1 124.802 536.706 Tm [(Scope:)]TJ/F75 9.9626 Tf 28.343 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 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)111(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 120.368 560.616 Tm [(Indices)-354(of)-353(the)-354(r)18(ows)-354(to)-353(be)-354(inserted.)-629(Speci\002cally)109(,)-381(r)18(ow)]TJ/F78 9.9626 Tf 1 0 0 1 361.94 560.616 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 368.497 560.616 Tm [(of)]TJ/F78 9.9626 Tf 1 0 0 1 381.147 560.616 Tm [(v)-40(a)-25(l)]TJ/F84 9.9626 Tf 1.02 0 0 1 397.986 560.616 Tm [(will)-354(be)-353(in-)]TJ 1.02 0 0 1 124.802 548.661 Tm [(serted)-307(into)-307(the)-307(local)-308(r)18(ow)-307(corr)18(esponding)-308(to)-307(the)-307(global)-307(r)18(ow)-308(index)]TJ/F78 9.9626 Tf 1 0 0 1 416.713 548.661 Tm [(i)-22(r)-35(w)]TJ/F197 10.3811 Tf 14.654 0 Td [(\050)]TJ/F78 9.9626 Tf 4.205 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 442.809 548.661 Tm [(.)]TJ 1 0 0 1 124.802 536.706 Tm [(Scope:)]TJ/F75 9.9626 Tf 28.343 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 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)111(.)]TJ 0 g 0 G /F75 9.9626 Tf -24.907 -19.386 Td [(val)]TJ 0 g 0 G @@ -19926,27 +19935,27 @@ BT 0 g 0 G /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 [(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(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 366.626 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 312.397 366.426 Td [(desc)]TJ +/F147 9.9626 Tf 312.397 366.426 Td [(desc)]TJ ET q 1 0 0 1 333.945 366.626 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 337.084 366.426 Td [(type)]TJ +/F147 9.9626 Tf 337.084 366.426 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -258.11 -19.386 Td [(local)]TJ 0 g 0 G -/F84 9.9626 Tf 1.004 0 0 1 125.957 347.04 Tm [(Whether)-248(the)-248(entries)-249(in)-248(the)-248(index)-248(vector)]TJ/F145 9.9626 Tf 1 0 0 1 300.374 347.04 Tm [(irw)]TJ/F84 9.9626 Tf 1.004 0 0 1 316.065 347.04 Tm [(,)-248(ar)18(e)-249(alr)18(eady)-248(in)-248(local)-248(number)18(-)]TJ 1 0 0 1 124.802 335.085 Tm [(ing.)]TJ 0 -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 [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F145 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F84 9.9626 Tf 36.612 0 Td [(.)]TJ +/F84 9.9626 Tf 1.004 0 0 1 125.957 347.04 Tm [(Whether)-248(the)-248(entries)-249(in)-248(the)-248(index)-248(vector)]TJ/F147 9.9626 Tf 1 0 0 1 300.374 347.04 Tm [(irw)]TJ/F84 9.9626 Tf 1.004 0 0 1 316.065 347.04 Tm [(,)-248(ar)18(e)-249(alr)18(eady)-248(in)-248(local)-248(number)18(-)]TJ 1 0 0 1 124.802 335.085 Tm [(ing.)]TJ 0 -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 [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F147 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F84 9.9626 Tf 36.612 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -224.197 -20.57 Td [(On)-250(Return)]TJ 0 g 0 G @@ -19955,28 +19964,28 @@ BT 0 g 0 G /F84 9.9626 Tf 9.963 0 Td 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Q BT -/F145 9.9626 Tf 421.49 211.443 Td [(type)]TJ +/F147 9.9626 Tf 421.49 211.443 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 0.98 0 0 1 442.411 211.443 Tm [(,)]TJ 1 0 0 1 124.802 199.488 Tm [(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G @@ -19990,7 +19999,7 @@ ET endstream endobj -1640 0 obj +1641 0 obj << /Length 578 >> @@ -20014,7 +20023,7 @@ ET endstream endobj -1649 0 obj +1650 0 obj << /Length 6324 >> @@ -20032,7 +20041,7 @@ BT /F75 11.9552 Tf 156.993 706.129 Td [(geasb)-250(\227)-250(Assembly)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ +/F147 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -20052,78 +20061,78 @@ BT 0 g 0 G /F84 9.9626 Tf 9.654 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.249 -11.955 Td 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0 Td [(in)]TJ/F84 9.9626 Tf 9.405 0 Td [(.)]TJ 0.987 0 0 1 124.802 497.875 Tm [(Speci\002ed)-254(as:)-315(an)-254(object)-254(of)-254(a)-254(class)-254(derived)-254(fr)18(om)]TJ/F147 9.9626 Tf 1 0 0 1 323.94 497.875 Tm [(psb)]TJ ET q 1 0 0 1 340.259 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 343.397 497.875 Td [(T)]TJ +/F147 9.9626 Tf 343.397 497.875 Td [(T)]TJ ET q 1 0 0 1 349.255 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 352.393 497.875 Td [(base)]TJ +/F147 9.9626 Tf 352.393 497.875 Td [(base)]TJ ET q 1 0 0 1 373.942 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 377.08 497.875 Td [(vect)]TJ +/F147 9.9626 Tf 377.08 497.875 Td [(vect)]TJ ET q 1 0 0 1 398.629 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 401.767 497.875 Td [(type)]TJ/F84 9.9626 Tf 0.987 0 0 1 422.689 497.875 Tm [(;)-254(this)]TJ 1 0 0 1 124.802 485.92 Tm [(is)-250(only)-250(allowed)-250(when)]TJ/F78 9.9626 Tf 97.12 0 Td 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9.9626 Tf 9.654 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(assembled.)]TJ 15.253 -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 [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ 0.98 0 0 1 124.802 396.256 Tm [(Speci\002ed)-220(as:)-299(a)-220(rank)-220(one)-220(or)-220(two)-221(array)-220(with)-220(the)-220(ALLOCA)76(T)75(ABLE)-220(or)-220(an)-220(object)]TJ 1 0 0 1 124.802 384.301 Tm [(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 33.285 0 Td [(psb)]TJ +/F147 9.9626 Tf 33.285 0 Td [(psb)]TJ ET q 1 0 0 1 174.405 384.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 177.544 384.301 Td [(T)]TJ +/F147 9.9626 Tf 177.544 384.301 Td [(T)]TJ ET q 1 0 0 1 183.402 384.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 186.54 384.301 Td [(vect)]TJ +/F147 9.9626 Tf 186.54 384.301 Td [(vect)]TJ ET q 1 0 0 1 208.089 384.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 211.227 384.301 Td [(type)]TJ +/F147 9.9626 Tf 211.227 384.301 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G @@ -20165,11 +20174,11 @@ BT 0 g 0 G /F84 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - 0.996 0 0 1 124.802 262.757 Tm [(On)-250(entry)-251(to)-250(this)-250(r)18(outine)-250(the)-250(descriptor)-251(must)-250(be)-250(in)-250(the)-251(assembled)-250(state,)-250(i.e.)]TJ/F145 9.9626 Tf 1 0 0 1 124.802 250.801 Tm [(psb_cdasb)]TJ/F84 9.9626 Tf 49.564 0 Td [(must)-250(alr)18(eady)-250(have)-250(been)-250(called.)]TJ + 0.996 0 0 1 124.802 262.757 Tm [(On)-250(entry)-251(to)-250(this)-250(r)18(outine)-250(the)-250(descriptor)-251(must)-250(be)-250(in)-250(the)-251(assembled)-250(state,)-250(i.e.)]TJ/F147 9.9626 Tf 1 0 0 1 124.802 250.801 Tm [(psb_cdasb)]TJ/F84 9.9626 Tf 49.564 0 Td 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Tf 228.353 565.621 Td [(T)]TJ ET q 1 0 0 1 234.211 565.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 237.349 565.621 Td [(vect)]TJ +/F147 9.9626 Tf 237.349 565.621 Td [(vect)]TJ ET q 1 0 0 1 258.898 565.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 262.036 565.621 Td [(type)]TJ +/F147 9.9626 Tf 262.036 565.621 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G @@ -20244,21 +20253,21 @@ BT 0 g 0 G /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 -/F145 9.9626 Tf 136.328 0 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124.802 706.129 Tm [(If)-248(an)-249(input)-248(index)-249(is)-248(out)-248(of)-249(range,)-248(then)-249(the)-248(corr)18(esponding)-249(output)-248(index)-248(is)]TJ 1 0 0 1 124.802 694.174 Tm [(set)-250(to)-250(a)-250(negative)-250(number;)]TJ +/F84 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - -12.453 -19.926 Td [(2.)]TJ + 1.01 0 0 1 124.802 686.204 Tm [(If)-248(an)-249(input)-248(index)-249(is)-248(out)-248(of)-249(range,)-248(then)-249(the)-248(corr)18(esponding)-249(output)-248(index)-248(is)]TJ 1 0 0 1 124.802 674.248 Tm [(set)-250(to)-250(a)-250(negative)-250(number;)]TJ 0 g 0 G - 0.98 0 0 1 124.493 674.248 Tm [(The)-234(default)]TJ/F145 9.9626 Tf 1 0 0 1 176.098 674.248 Tm [(I)]TJ/F84 9.9626 Tf 0.98 0 0 1 181.328 674.248 Tm [(gnor)18(e)-234(means)-234(that)-235(the)-234(negative)-234(output)-234(is)-235(the)-234(only)-234(action)-235(taken)]TJ 1 0 0 1 124.802 662.293 Tm [(on)-250(an)-250(out-of-range)-250(input.)]TJ + -12.453 -19.925 Td [(2.)]TJ +0 g 0 G + 0.98 0 0 1 124.493 654.323 Tm [(The)-234(default)]TJ/F147 9.9626 Tf 1 0 0 1 176.098 654.323 Tm [(I)]TJ/F84 9.9626 Tf 0.98 0 0 1 181.328 654.323 Tm [(gnor)18(e)-234(means)-234(that)-235(the)-234(negative)-234(output)-234(is)-235(the)-234(only)-234(action)-235(taken)]TJ 1 0 0 1 124.802 642.368 Tm [(on)-250(an)-250(out-of-range)-250(input.)]TJ 0 g 0 G - 141.968 -571.855 Td [(99)]TJ + 141.968 -551.93 Td [(99)]TJ 0 g 0 G ET endstream endobj -1678 0 obj +1679 0 obj << -/Length 5816 +/Length 6270 >> stream 0 g 0 G @@ -20485,7 +20495,7 @@ BT /F75 11.9552 Tf 242.974 706.129 Td [(glob)-250(\227)-250(Local)-250(to)-250(global)-250(indices)-250(conversion)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -92.269 -18.964 Td [(call)-525(psb_loc_to_glob\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 -11.955 Td [(call)-525(psb_loc_to_glob\050x,)-525(desc_a,)-525(info,)-525(iact\051)]TJ +/F147 9.9626 Tf -92.269 -18.964 Td [(call)-525(psb_loc_to_glob\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 -11.955 Td [(call)-525(psb_loc_to_glob\050x,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -20496,63 +20506,63 @@ BT 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F84 9.9626 Tf 9.574 0 Td [(An)-250(integer)-250(vector)-250(of)-250(indices)-250(to)-250(be)-250(converted.)]TJ 15.332 -11.956 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,)-250(inout)]TJ/F84 9.9626 Tf 38.734 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 160.279 613.442 Tm [(An)-306(integer)-306(vector)-307(of)-306(indices)-306(to)-306(be)-307(converted;)-336(if)]TJ/F78 9.9626 Tf 1 0 0 1 375.994 613.442 Tm [(y)]TJ/F84 9.9626 Tf 1.02 0 0 1 384.212 613.442 Tm [(is)-306(pr)17(esent,)-321(they)-306(ar)17(e)-306(local)]TJ 1 0 0 1 175.611 601.486 Tm [(indices,)-250(i.e.)]TJ/F147 9.9626 Tf 51.825 0 Td [(psb_ipk_)]TJ/F84 9.9626 Tf -51.825 -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,)-250(inout)]TJ/F84 9.9626 Tf 38.734 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G /F75 9.9626 Tf -24.906 -31.881 Td [(desc)]TJ ET q -1 0 0 1 171.218 533.94 cm +1 0 0 1 171.218 521.985 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F75 9.9626 Tf 174.207 533.74 Td [(a)]TJ +/F75 9.9626 Tf 174.207 521.785 Td [(a)]TJ 0 g 0 G /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)]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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 360.068 486.119 cm +1 0 0 1 360.068 474.164 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 363.206 485.92 Td [(desc)]TJ +/F147 9.9626 Tf 363.206 473.965 Td [(desc)]TJ ET q -1 0 0 1 384.755 486.119 cm +1 0 0 1 384.755 474.164 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 387.893 485.92 Td [(type)]TJ +/F147 9.9626 Tf 387.893 473.965 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -258.11 -19.926 Td [(iact)]TJ 0 g 0 G -/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 253.795 0 Td [(global)]TJ/F84 9.9626 Tf -250.218 -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 0.983 0 0 1 175.611 430.129 Tm [(Speci\002ed)-254(as:)-316(a)-254(character)-254(variable)]TJ/F145 9.9626 Tf 1 0 0 1 319.381 430.129 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 324.612 430.129 Tm [(gnor)18(e,)]TJ/F145 9.9626 Tf 1 0 0 1 354.422 430.129 Tm [(W)]TJ/F84 9.9626 Tf 0.983 0 0 1 359.653 430.129 Tm [(arning)-254(or)]TJ/F145 9.9626 Tf 1 0 0 1 402.308 430.129 Tm [(A)]TJ/F84 9.9626 Tf 0.983 0 0 1 407.539 430.129 Tm [(bort,)-254(default)]TJ/F145 9.9626 Tf 1 0 0 1 463.572 430.129 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 468.802 430.129 Tm [(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 253.795 0 Td [(global)]TJ/F84 9.9626 Tf -250.218 -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 0.983 0 0 1 175.611 418.174 Tm [(Speci\002ed)-254(as:)-316(a)-254(character)-254(variable)]TJ/F147 9.9626 Tf 1 0 0 1 319.381 418.174 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 324.612 418.174 Tm [(gnor)18(e,)]TJ/F147 9.9626 Tf 1 0 0 1 354.422 418.174 Tm [(W)]TJ/F84 9.9626 Tf 0.983 0 0 1 359.653 418.174 Tm [(arning)-254(or)]TJ/F147 9.9626 Tf 1 0 0 1 402.308 418.174 Tm [(A)]TJ/F84 9.9626 Tf 0.983 0 0 1 407.539 418.174 Tm [(bort,)-254(default)]TJ/F147 9.9626 Tf 1 0 0 1 463.572 418.174 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 468.802 418.174 Tm [(gnor)18(e.)]TJ 0 g 0 G -/F75 9.9626 Tf 1 0 0 1 150.705 408.211 Tm [(On)-250(Return)]TJ +/F75 9.9626 Tf 1 0 0 1 150.705 396.256 Tm [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 160.667 388.286 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 170.229 388.286 Tm [(y)]TJ/F84 9.9626 Tf 1.02 0 0 1 177.963 388.286 Tm [(is)-259(not)-258(pr)17(esent,)-262(then)]TJ/F78 9.9626 Tf 1 0 0 1 266.607 388.286 Tm [(x)]TJ/F84 9.9626 Tf 1.02 0 0 1 274.441 388.286 Tm [(is)-259(overwritten)-258(with)-259(the)-258(translated)-259(integer)-259(indices.)]TJ 1 0 0 1 175.611 376.331 Tm [(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 -11.956 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(integer)-250(array)111(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 160.667 376.331 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 170.584 376.331 Tm [(y)]TJ/F84 9.9626 Tf 1.02 0 0 1 178.674 376.331 Tm [(is)-294(not)-293(pr)17(esent,)-305(then)]TJ/F78 9.9626 Tf 1 0 0 1 268.828 376.331 Tm [(x)]TJ/F84 9.9626 Tf 1.02 0 0 1 277.018 376.331 Tm [(is)-294(overwritten)-293(with)-294(the)-293(translated)-294(integer)-294(global)]TJ 1 0 0 1 175.611 364.376 Tm [(indices,)-250(i.e.)]TJ/F147 9.9626 Tf 51.825 0 Td [(psb_lpk_)]TJ/F84 9.9626 Tf 44.334 0 Td [(Scope:)]TJ/F75 9.9626 Tf 31.432 0 Td [(global)]TJ/F84 9.9626 Tf -127.899 -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 [(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(integer)-250(array)111(.)]TJ 0 g 0 G /F75 9.9626 Tf -24.906 -19.925 Td [(y)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 161.225 320.54 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 170.727 320.54 Tm [(y)]TJ/F84 9.9626 Tf 1.02 0 0 1 178.402 320.54 Tm [(is)-253(not)-253(pr)18(esent,)-255(then)]TJ/F78 9.9626 Tf 1 0 0 1 266.624 320.54 Tm [(y)]TJ/F84 9.9626 Tf 1.02 0 0 1 274.299 320.54 Tm [(is)-253(overwritten)-253(with)-252(the)-253(translated)-253(integer)-253(indices,)]TJ 1 0 0 1 175.611 308.585 Tm [(and)]TJ/F78 9.9626 Tf 19.652 0 Td [(x)]TJ/F84 9.9626 Tf 7.696 0 Td [(is)-250(left)-250(unchanged.)-310(Scope:)]TJ/F75 9.9626 Tf 112.556 0 Td [(global)]TJ/F84 9.9626 Tf -140.212 -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 9.9626 Tf 31.801 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(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 161.225 308.585 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 170.816 308.585 Tm [(y)]TJ/F84 9.9626 Tf 1.02 0 0 1 178.579 308.585 Tm [(not)-261(pr)17(esent,)-265(then)]TJ/F78 9.9626 Tf 1 0 0 1 257.253 308.585 Tm [(y)]TJ/F84 9.9626 Tf 1.02 0 0 1 265.016 308.585 Tm [(is)-261(overwritten)-262(with)-261(the)-262(translated)-261(global)-262(indices)-261(i.e.)]TJ/F147 9.9626 Tf 1 0 0 1 175.611 296.63 Tm [(psb_lpk_)]TJ/F84 9.9626 Tf 41.843 0 Td [(,)-250(and)]TJ/F78 9.9626 Tf 24.633 0 Td [(x)]TJ/F84 9.9626 Tf 7.696 0 Td [(is)-250(left)-250(unchanged.)-310(Scope:)]TJ/F75 9.9626 Tf 112.556 0 Td [(global)]TJ/F84 9.9626 Tf -187.036 -11.956 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 [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F75 9.9626 Tf -24.907 -19.925 Td [(info)]TJ +/F75 9.9626 Tf -24.906 -19.925 Td [(info)]TJ 0 g 0 G -/F84 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.107 -11.955 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 -11.956 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 +/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 -11.956 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 -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 - 139.865 -114.535 Td [(100)]TJ + 139.865 -102.58 Td [(100)]TJ 0 g 0 G ET endstream endobj -1683 0 obj +1684 0 obj << /Length 3295 >> @@ -20577,7 +20587,7 @@ BT /F75 11.9552 Tf 170.586 706.129 Td [(owned)-250(\227)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_owned\050x,)-525(desc_a\051)]TJ +/F147 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_owned\050x,)-525(desc_a\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -20601,21 +20611,21 @@ BT 0 g 0 G /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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 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 -/F145 9.9626 Tf 312.397 497.875 Td [(desc)]TJ +/F147 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 -/F145 9.9626 Tf 337.084 497.875 Td [(type)]TJ +/F147 9.9626 Tf 337.084 497.875 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -20628,7 +20638,7 @@ BT 0 g 0 G /F84 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - 0.997 0 0 1 124.493 366.368 Tm [(This)-252(r)18(outine)-251(r)18(eturns)-252(a)]TJ/F145 9.9626 Tf 1 0 0 1 221.898 366.368 Tm [(.true.)]TJ/F84 9.9626 Tf 0.997 0 0 1 255.779 366.368 Tm [(value)-252(for)-251(an)-252(index)-252(that)-251(is)-252(strictly)-251(owned)-252(by)]TJ 1 0 0 1 124.802 354.413 Tm [(the)-250(curr)18(ent)-250(pr)18(ocess,)-250(excluding)-250(the)-250(halo)-250(indices)]TJ + 0.997 0 0 1 124.493 366.368 Tm [(This)-252(r)18(outine)-251(r)18(eturns)-252(a)]TJ/F147 9.9626 Tf 1 0 0 1 221.898 366.368 Tm [(.true.)]TJ/F84 9.9626 Tf 0.997 0 0 1 255.779 366.368 Tm [(value)-252(for)-251(an)-252(index)-252(that)-251(is)-252(strictly)-251(owned)-252(by)]TJ 1 0 0 1 124.802 354.413 Tm [(the)-250(curr)18(ent)-250(pr)18(ocess,)-250(excluding)-250(the)-250(halo)-250(indices)]TJ 0 g 0 G 139.477 -263.975 Td [(101)]TJ 0 g 0 G @@ -20636,7 +20646,7 @@ ET endstream endobj -1689 0 obj +1690 0 obj << /Length 5095 >> @@ -20661,7 +20671,7 @@ BT /F75 11.9552 Tf 249.299 706.129 Td [(index)-250(\227)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -98.594 -18.964 Td [(call)-525(psb_owned_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ +/F147 9.9626 Tf -98.594 -18.964 Td [(call)-525(psb_owned_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -20685,27 +20695,27 @@ BT 0 g 0 G /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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 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 -/F145 9.9626 Tf 363.206 497.875 Td [(desc)]TJ +/F147 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 -/F145 9.9626 Tf 387.893 497.875 Td [(type)]TJ +/F147 9.9626 Tf 387.893 497.875 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -258.11 -19.925 Td [(iact)]TJ 0 g 0 G -/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 253.795 0 Td [(global)]TJ/F84 9.9626 Tf -250.218 -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 1 175.611 442.084 Tm [(Speci\002ed)-254(as:)-316(a)-254(character)-254(variable)]TJ/F145 9.9626 Tf 1 0 0 1 319.381 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 324.612 442.084 Tm [(gnor)18(e,)]TJ/F145 9.9626 Tf 1 0 0 1 354.422 442.084 Tm [(W)]TJ/F84 9.9626 Tf 0.983 0 0 1 359.653 442.084 Tm [(arning)-254(or)]TJ/F145 9.9626 Tf 1 0 0 1 402.308 442.084 Tm [(A)]TJ/F84 9.9626 Tf 0.983 0 0 1 407.539 442.084 Tm [(bort,)-254(default)]TJ/F145 9.9626 Tf 1 0 0 1 463.572 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 468.802 442.084 Tm [(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 253.795 0 Td [(global)]TJ/F84 9.9626 Tf -250.218 -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 1 175.611 442.084 Tm [(Speci\002ed)-254(as:)-316(a)-254(character)-254(variable)]TJ/F147 9.9626 Tf 1 0 0 1 319.381 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 324.612 442.084 Tm [(gnor)18(e,)]TJ/F147 9.9626 Tf 1 0 0 1 354.422 442.084 Tm [(W)]TJ/F84 9.9626 Tf 0.983 0 0 1 359.653 442.084 Tm [(arning)-254(or)]TJ/F147 9.9626 Tf 1 0 0 1 402.308 442.084 Tm [(A)]TJ/F84 9.9626 Tf 0.983 0 0 1 407.539 442.084 Tm [(bort,)-254(default)]TJ/F147 9.9626 Tf 1 0 0 1 463.572 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 468.802 442.084 Tm [(gnor)18(e.)]TJ 0 g 0 G /F75 9.9626 Tf 1 0 0 1 150.705 420.166 Tm [(On)-250(Return)]TJ 0 g 0 G @@ -20720,7 +20730,7 @@ BT 0 g 0 G /F84 9.9626 Tf 12.453 -19.926 Td [(1.)]TJ 0 g 0 G - 1.02 0 0 1 175.303 242.831 Tm [(This)-383(r)17(outine)-383(r)17(eturns)-383(a)]TJ/F145 9.9626 Tf 1 0 0 1 280.321 242.831 Tm [(.true.)]TJ/F84 9.9626 Tf 1.02 0 0 1 315.6 242.831 Tm [(value)-383(for)-384(those)-383(indices)-384(that)-383(ar)17(e)-383(strictly)]TJ 1 0 0 1 175.611 230.876 Tm [(owned)-250(by)-250(the)-250(curr)18(ent)-250(pr)18(ocess,)-250(excluding)-250(the)-250(halo)-250(indices)]TJ + 1.02 0 0 1 175.303 242.831 Tm [(This)-383(r)17(outine)-383(r)17(eturns)-383(a)]TJ/F147 9.9626 Tf 1 0 0 1 280.321 242.831 Tm [(.true.)]TJ/F84 9.9626 Tf 1.02 0 0 1 315.6 242.831 Tm [(value)-383(for)-384(those)-383(indices)-384(that)-383(ar)17(e)-383(strictly)]TJ 1 0 0 1 175.611 230.876 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 [(102)]TJ 0 g 0 G @@ -20728,7 +20738,7 @@ ET endstream endobj -1695 0 obj +1696 0 obj << /Length 3275 >> @@ -20753,7 +20763,7 @@ BT /F75 11.9552 Tf 170.586 706.129 Td [(local)-250(\227)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_local\050x,)-525(desc_a\051)]TJ +/F147 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_local\050x,)-525(desc_a\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -20777,21 +20787,21 @@ BT 0 g 0 G /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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 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 -/F145 9.9626 Tf 312.397 497.875 Td [(desc)]TJ +/F147 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 -/F145 9.9626 Tf 337.084 497.875 Td [(type)]TJ +/F147 9.9626 Tf 337.084 497.875 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -20804,7 +20814,7 @@ BT 0 g 0 G /F84 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - 0.98 0 0 1 124.493 366.368 Tm [(This)-244(r)19(outine)-244(r)18(eturns)-244(a)]TJ/F145 9.9626 Tf 1 0 0 1 219.923 366.368 Tm [(.true.)]TJ/F84 9.9626 Tf 0.98 0 0 1 253.685 366.368 Tm [(value)-244(for)-244(an)-243(index)-244(that)-244(is)-244(local)-243(to)-244(the)-244(curr)18(e)1(nt)]TJ 1 0 0 1 124.503 354.413 Tm [(pr)18(ocess,)-250(including)-250(the)-250(halo)-250(indices)]TJ + 0.98 0 0 1 124.493 366.368 Tm [(This)-244(r)19(outine)-244(r)18(eturns)-244(a)]TJ/F147 9.9626 Tf 1 0 0 1 219.923 366.368 Tm [(.true.)]TJ/F84 9.9626 Tf 0.98 0 0 1 253.685 366.368 Tm [(value)-244(for)-244(an)-243(index)-244(that)-244(is)-244(local)-243(to)-244(the)-244(curr)18(e)1(nt)]TJ 1 0 0 1 124.503 354.413 Tm [(pr)18(ocess,)-250(including)-250(the)-250(halo)-250(indices)]TJ 0 g 0 G 139.776 -263.975 Td [(103)]TJ 0 g 0 G @@ -20812,7 +20822,7 @@ ET endstream endobj -1702 0 obj +1703 0 obj << /Length 5087 >> @@ -20837,7 +20847,7 @@ BT /F75 11.9552 Tf 238.001 706.129 Td [(index)-250(\227)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -87.296 -18.964 Td [(call)-525(psb_local_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ +/F147 9.9626 Tf -87.296 -18.964 Td [(call)-525(psb_local_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -20861,27 +20871,27 @@ BT 0 g 0 G /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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 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 -/F145 9.9626 Tf 363.206 497.875 Td [(desc)]TJ +/F147 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 -/F145 9.9626 Tf 387.893 497.875 Td [(type)]TJ +/F147 9.9626 Tf 387.893 497.875 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -258.11 -19.925 Td [(iact)]TJ 0 g 0 G -/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 253.795 0 Td [(global)]TJ/F84 9.9626 Tf -250.218 -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 1 175.611 442.084 Tm [(Speci\002ed)-254(as:)-316(a)-254(character)-254(variable)]TJ/F145 9.9626 Tf 1 0 0 1 319.381 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 324.612 442.084 Tm [(gnor)18(e,)]TJ/F145 9.9626 Tf 1 0 0 1 354.422 442.084 Tm [(W)]TJ/F84 9.9626 Tf 0.983 0 0 1 359.653 442.084 Tm [(arning)-254(or)]TJ/F145 9.9626 Tf 1 0 0 1 402.308 442.084 Tm [(A)]TJ/F84 9.9626 Tf 0.983 0 0 1 407.539 442.084 Tm [(bort,)-254(default)]TJ/F145 9.9626 Tf 1 0 0 1 463.572 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 468.802 442.084 Tm [(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 253.795 0 Td [(global)]TJ/F84 9.9626 Tf -250.218 -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 1 175.611 442.084 Tm [(Speci\002ed)-254(as:)-316(a)-254(character)-254(variable)]TJ/F147 9.9626 Tf 1 0 0 1 319.381 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 324.612 442.084 Tm [(gnor)18(e,)]TJ/F147 9.9626 Tf 1 0 0 1 354.422 442.084 Tm [(W)]TJ/F84 9.9626 Tf 0.983 0 0 1 359.653 442.084 Tm [(arning)-254(or)]TJ/F147 9.9626 Tf 1 0 0 1 402.308 442.084 Tm [(A)]TJ/F84 9.9626 Tf 0.983 0 0 1 407.539 442.084 Tm [(bort,)-254(default)]TJ/F147 9.9626 Tf 1 0 0 1 463.572 442.084 Tm [(I)]TJ/F84 9.9626 Tf 0.983 0 0 1 468.802 442.084 Tm [(gnor)18(e.)]TJ 0 g 0 G /F75 9.9626 Tf 1 0 0 1 150.705 420.166 Tm [(On)-250(Return)]TJ 0 g 0 G @@ -20896,7 +20906,7 @@ BT 0 g 0 G /F84 9.9626 Tf 12.453 -19.926 Td [(1.)]TJ 0 g 0 G - 1.009 0 0 1 175.303 242.831 Tm [(This)-247(r)18(outine)-247(r)18(eturns)-247(a)]TJ/F145 9.9626 Tf 1 0 0 1 273.698 242.831 Tm [(.true.)]TJ/F84 9.9626 Tf 1.009 0 0 1 307.563 242.831 Tm [(value)-247(for)-247(those)-247(indices)-247(that)-247(ar)18(e)-247(local)-247(to)-247(the)]TJ 1 0 0 1 175.611 230.876 Tm [(curr)18(ent)-250(pr)18(ocess,)-250(including)-250(the)-250(halo)-250(indices.)]TJ + 1.009 0 0 1 175.303 242.831 Tm [(This)-247(r)18(outine)-247(r)18(eturns)-247(a)]TJ/F147 9.9626 Tf 1 0 0 1 273.698 242.831 Tm [(.true.)]TJ/F84 9.9626 Tf 1.009 0 0 1 307.563 242.831 Tm [(value)-247(for)-247(those)-247(indices)-247(that)-247(ar)18(e)-247(local)-247(to)-247(the)]TJ 1 0 0 1 175.611 230.876 Tm [(curr)18(ent)-250(pr)18(ocess,)-250(including)-250(the)-250(halo)-250(indices.)]TJ 0 g 0 G 139.477 -140.438 Td [(104)]TJ 0 g 0 G @@ -20904,7 +20914,7 @@ ET endstream endobj -1708 0 obj +1709 0 obj << /Length 3771 >> @@ -20929,7 +20939,7 @@ BT /F75 11.9552 Tf 177.903 706.129 Td [(boundary)-250(\227)-250(Extract)-250(list)-250(of)-250(boundary)-250(elements)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -78.008 -18.964 Td [(call)-525(psb_get_boundary\050bndel,)-525(desc,)-525(info\051)]TJ +/F147 9.9626 Tf -78.008 -18.964 Td [(call)-525(psb_get_boundary\050bndel,)-525(desc,)-525(info\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -20942,21 +20952,21 @@ BT 0 g 0 G /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 28.343 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 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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 312.397 577.576 Td [(desc)]TJ +/F147 9.9626 Tf 312.397 577.576 Td [(desc)]TJ ET q 1 0 0 1 333.945 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 337.084 577.576 Td [(type)]TJ +/F147 9.9626 Tf 337.084 577.576 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G @@ -20977,7 +20987,7 @@ BT 0 g 0 G 1 0 0 1 112.349 322.532 Tm [(2.)]TJ 0 g 0 G - 0.985 0 0 1 124.802 322.532 Tm [(Otherwise)-253(the)-253(size)-253(of)]TJ/F145 9.9626 Tf 1 0 0 1 218.697 322.532 Tm [(bndel)]TJ/F84 9.9626 Tf 0.985 0 0 1 247.333 322.532 Tm [(will)-253(be)-253(exactly)-253(equal)-253(to)-253(the)-253(number)-253(of)-254(bound-)]TJ 1 0 0 1 124.802 310.577 Tm [(ary)-250(elements.)]TJ + 0.985 0 0 1 124.802 322.532 Tm [(Otherwise)-253(the)-253(size)-253(of)]TJ/F147 9.9626 Tf 1 0 0 1 218.697 322.532 Tm [(bndel)]TJ/F84 9.9626 Tf 0.985 0 0 1 247.333 322.532 Tm [(will)-253(be)-253(exactly)-253(equal)-253(to)-253(the)-253(number)-253(of)-254(bound-)]TJ 1 0 0 1 124.802 310.577 Tm [(ary)-250(elements.)]TJ 0 g 0 G 139.477 -220.139 Td [(105)]TJ 0 g 0 G @@ -20985,7 +20995,7 @@ ET endstream endobj -1715 0 obj +1716 0 obj << /Length 3593 >> @@ -21010,7 +21020,7 @@ BT /F75 11.9552 Tf 228.712 706.129 Td [(overlap)-250(\227)-250(Extract)-250(list)-250(of)-250(overlap)-250(elements)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -78.007 -18.964 Td [(call)-525(psb_get_overlap\050ovrel,)-525(desc,)-525(info\051)]TJ +/F147 9.9626 Tf -78.007 -18.964 Td [(call)-525(psb_get_overlap\050ovrel,)-525(desc,)-525(info\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td 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[(These)-314(serial)-313(r)17(outines)-313(sort)-314(a)-314(sequence)]TJ/F78 9.9626 Tf 1 0 0 1 335.711 575.819 Tm [(X)]TJ/F84 9.9626 Tf 1.02 0 0 1 346.436 575.819 Tm [(into)-314(ascending)-313(or)-314(descending)-314(or)18(-)]TJ 1.02 0 0 1 150.705 563.864 Tm [(der)73(.)-328(The)-253(ar)18(gument)-253(meaning)-253(is)-253(identical)-253(for)-253(all)-253(calls;)-257(the)-253(only)-253(dif)17(f)1(er)17(ence)-253(is)-253(the)]TJ 1 0 0 1 150.705 551.909 Tm [(algorithm)-250(used)-250(to)-250(accomplish)-250(the)-250(task)-250(\050see)-250(Usage)-250(Notes)-250(below\051.)]TJ 0 g 0 G /F75 9.9626 Tf 0 -19.808 Td [(T)90(ype:)]TJ 0 g 0 G @@ -21956,7 +21966,7 @@ BT 0 g 0 G /F75 9.9626 Tf -24.906 -19.866 Td [(ix)]TJ 0 g 0 G -/F84 9.9626 Tf 12.891 0 Td [(A)-250(vector)-250(of)-250(indices.)]TJ 11.707 -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 0.98 0 0 1 175.611 424.682 Tm 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[(psb_sort_down_)]TJ/F84 9.9626 Tf 1.02 0 0 1 419.003 349.083 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 425.126 349.083 Tm [(psb_asort_up_)]TJ/F84 9.9626 Tf 1.02 0 0 1 493.121 349.083 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 197.529 337.128 Tm [(psb_asort_down_)]TJ/F84 9.9626 Tf 78.455 0 Td [(;)-250(default)]TJ/F147 9.9626 Tf 38.784 0 Td [(psb_sort_up_)]TJ/F84 9.9626 Tf 62.765 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -201.922 -15.881 Td [(Complex)-250(data:)]TJ 0 g 0 G -/F145 9.9626 Tf 70.287 0 Td [(psb_lsort_up_)]TJ/F84 9.9626 Tf 0.98 0 0 1 313.892 321.247 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 318.345 321.247 Tm [(psb_lsort_down_)]TJ/F84 9.9626 Tf 0.98 0 0 1 396.8 321.247 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 401.254 321.247 Tm [(psb_asort_up_)]TJ/F84 9.9626 Tf 0.98 0 0 1 469.248 321.247 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 473.701 321.247 Tm [(psb_asort_down_)]TJ/F84 9.9626 Tf 0.98 0 0 1 552.157 321.247 Tm [(;)]TJ 1 0 0 1 197.529 309.292 Tm [(default)]TJ/F145 9.9626 Tf 33.803 0 Td [(psb_lsort_up_)]TJ/F84 9.9626 Tf 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[(Speci\002ed)-194(as:)-286(an)-193(integer)-194(value)]TJ/F145 9.9626 Tf 1 0 0 1 301.54 265.515 Tm [(psb_sort_ovw_idx_)]TJ/F84 9.9626 Tf 0.98 0 0 1 392.349 265.515 Tm [(or)]TJ/F145 9.9626 Tf 1 0 0 1 403.429 265.515 Tm [(psb_sort_keep_idx_)]TJ/F84 9.9626 Tf 0.98 0 0 1 497.575 265.515 Tm [(;)]TJ 1 0 0 1 175.611 253.56 Tm [(default)]TJ/F145 9.9626 Tf 33.803 0 Td [(psb_sort_ovw_idx_)]TJ/F84 9.9626 Tf 88.916 0 Td [(.)]TJ +/F84 9.9626 Tf 21.091 0 Td [(Whether)-250(to)-250(keep)-250(the)-250(original)-250(values)-250(in)]TJ/F78 9.9626 Tf 171.519 0 Td [(I)-81(X)]TJ/F84 9.9626 Tf 11.661 0 Td [(.)]TJ -179.673 -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 0.98 0 0 1 175.611 265.515 Tm [(Speci\002ed)-194(as:)-286(an)-193(integer)-194(value)]TJ/F147 9.9626 Tf 1 0 0 1 301.54 265.515 Tm [(psb_sort_ovw_idx_)]TJ/F84 9.9626 Tf 0.98 0 0 1 392.349 265.515 Tm [(or)]TJ/F147 9.9626 Tf 1 0 0 1 403.429 265.515 Tm [(psb_sort_keep_idx_)]TJ/F84 9.9626 Tf 0.98 0 0 1 497.575 265.515 Tm [(;)]TJ 1 0 0 1 175.611 253.56 Tm [(default)]TJ/F147 9.9626 Tf 33.803 0 Td [(psb_sort_ovw_idx_)]TJ/F84 9.9626 Tf 88.916 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -147.625 -19.866 Td [(reord)]TJ 0 g 0 G -/F84 9.9626 Tf 0.984 0 0 1 179.546 233.694 Tm [(Whether)-253(to)-254(r)19(eor)18(der)-253(the)-254(input)-253(vector)]TJ/F78 9.9626 Tf 1 0 0 1 337.115 233.694 Tm [(x)]TJ/F84 9.9626 Tf 0.984 0 0 1 344.804 233.694 Tm [(or)-253(just)-254(r)19(eturn)]TJ/F78 9.9626 Tf 1 0 0 1 404.732 233.694 Tm [(I)-81(X)]TJ/F84 9.9626 Tf 0.984 0 0 1 418.877 233.694 Tm [(for)-253(further)-254(usage.)]TJ 1 0 0 1 175.303 221.738 Tm [(T)90(ype:)]TJ/F75 9.9626 Tf 23.999 0 Td [(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(.)]TJ 0.98 0 0 1 175.611 209.783 Tm [(Speci\002ed)-194(as:)-286(an)-193(integer)-194(value)]TJ/F145 9.9626 Tf 1 0 0 1 301.54 209.783 Tm [(psb_sort_reord_x_)]TJ/F84 9.9626 Tf 0.98 0 0 1 392.349 209.783 Tm [(or)]TJ/F145 9.9626 Tf 1 0 0 1 403.429 209.783 Tm [(psb_sort_noreord_x_)]TJ/F84 9.9626 Tf 0.98 0 0 1 502.806 209.783 Tm [(;)]TJ 1 0 0 1 175.611 197.828 Tm [(default)]TJ/F145 9.9626 Tf 33.803 0 Td [(psb_sort_reord_x_)]TJ/F84 9.9626 Tf 88.916 0 Td [(.)]TJ +/F84 9.9626 Tf 0.984 0 0 1 179.546 233.694 Tm [(Whether)-253(to)-254(r)19(eor)18(der)-253(the)-254(input)-253(vector)]TJ/F78 9.9626 Tf 1 0 0 1 337.115 233.694 Tm [(x)]TJ/F84 9.9626 Tf 0.984 0 0 1 344.804 233.694 Tm [(or)-253(just)-254(r)19(eturn)]TJ/F78 9.9626 Tf 1 0 0 1 404.732 233.694 Tm [(I)-81(X)]TJ/F84 9.9626 Tf 0.984 0 0 1 418.877 233.694 Tm [(for)-253(further)-254(usage.)]TJ 1 0 0 1 175.303 221.738 Tm [(T)90(ype:)]TJ/F75 9.9626 Tf 23.999 0 Td [(optional)]TJ/F84 9.9626 Tf 38.187 0 Td [(.)]TJ 0.98 0 0 1 175.611 209.783 Tm [(Speci\002ed)-194(as:)-286(an)-193(integer)-194(value)]TJ/F147 9.9626 Tf 1 0 0 1 301.54 209.783 Tm [(psb_sort_reord_x_)]TJ/F84 9.9626 Tf 0.98 0 0 1 392.349 209.783 Tm [(or)]TJ/F147 9.9626 Tf 1 0 0 1 403.429 209.783 Tm [(psb_sort_noreord_x_)]TJ/F84 9.9626 Tf 0.98 0 0 1 502.806 209.783 Tm [(;)]TJ 1 0 0 1 175.611 197.828 Tm [(default)]TJ/F147 9.9626 Tf 33.803 0 Td [(psb_sort_reord_x_)]TJ/F84 9.9626 Tf 88.916 0 Td [(.)]TJ 0 g 0 G /F75 9.9626 Tf -147.625 -21.771 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.866 Td [(x)]TJ 0 g 0 G -/F84 9.9626 Tf 0.984 0 0 1 160.359 156.191 Tm [(The)-254(sequence)-254(of)-254(values;)-254(if)]TJ/F145 9.9626 Tf 1 0 0 1 274.16 156.191 Tm [(reord=psb_sort_reord_x_)]TJ/F84 9.9626 Tf 0.984 0 0 1 396.947 156.191 Tm [(it)-254(will)-254(be)-254(in)-254(the)-254(chosen)]TJ 1 0 0 1 175.611 144.236 Tm [(or)18(dering.)]TJ -0.308 -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 [(Speci\002ed)-250(as:)-310(an)-250(integer)74(,)-250(r)18(eal)-250(or)-250(complex)-250(array)-250(of)-250(rank)-250(1.)]TJ +/F84 9.9626 Tf 0.984 0 0 1 160.359 156.191 Tm [(The)-254(sequence)-254(of)-254(values;)-254(if)]TJ/F147 9.9626 Tf 1 0 0 1 274.16 156.191 Tm [(reord=psb_sort_reord_x_)]TJ/F84 9.9626 Tf 0.984 0 0 1 396.947 156.191 Tm [(it)-254(will)-254(be)-254(in)-254(the)-254(chosen)]TJ 1 0 0 1 175.611 144.236 Tm [(or)18(dering.)]TJ -0.308 -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 [(Speci\002ed)-250(as:)-310(an)-250(integer)74(,)-250(r)18(eal)-250(or)-250(complex)-250(array)-250(of)-250(rank)-250(1.)]TJ 0 g 0 G 139.477 -29.888 Td [(110)]TJ 0 g 0 G @@ -22019,9 +22029,9 @@ ET endstream endobj -1746 0 obj +1747 0 obj << -/Length 11593 +/Length 11603 >> stream 0 g 0 G @@ -22046,7 +22056,7 @@ BT 0 g 0 G -12.453 -19.926 Td [(4.)]TJ 0 g 0 G - 0.99 0 0 1 124.802 484.958 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 133.93 484.958 Tm [(r)-17(e)-25(o)-25(r)-17(d)]TJ/F192 10.3811 Tf 24.891 0 Td [(=)]TJ/F78 9.9626 Tf 11.642 0 Td [(p)-25(s)-25(b)]TJ + 0.99 0 0 1 124.802 484.958 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 133.93 484.958 Tm [(r)-17(e)-25(o)-25(r)-17(d)]TJ/F197 10.3811 Tf 24.891 0 Td [(=)]TJ/F78 9.9626 Tf 11.642 0 Td [(p)-25(s)-25(b)]TJ ET q 1 0 0 1 185.152 485.158 cm @@ -22078,7 +22088,7 @@ BT 0 g 0 G -12.453 -19.925 Td [(5.)]TJ 0 g 0 G - 0.98 0 0 1 124.802 441.123 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 135.146 441.123 Tm [(f)-160(l)-70(a)-47(g)]TJ/F192 10.3811 Tf 20.72 0 Td [(=)]TJ/F78 9.9626 Tf 11.634 0 Td [(p)-25(s)-25(b)]TJ + 0.98 0 0 1 124.802 441.123 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 135.146 441.123 Tm [(f)-160(l)-70(a)-47(g)]TJ/F197 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 1 182.189 441.322 cm @@ -22106,11 +22116,11 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F84 9.9626 Tf 0.98 0 0 1 246.101 441.123 Tm [(then)-244(the)-244(entries)-244(in)]TJ/F78 9.9626 Tf 1 0 0 1 326.032 441.123 Tm [(i)-49(x)]TJ/F192 10.3811 Tf 8.587 0 Td [(\050)]TJ/F84 9.9626 Tf 0.98 0 0 1 338.769 441.123 Tm [(1)]TJ 1 0 0 1 346.542 441.123 Tm [(:)]TJ/F78 9.9626 Tf 5.507 0 Td [(n)]TJ/F192 10.3811 Tf 5.788 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 364.37 441.123 Tm [(wher)18(e)]TJ/F78 9.9626 Tf 1 0 0 1 393.733 441.123 Tm [(n)]TJ/F84 9.9626 Tf 0.98 0 0 1 401.779 441.123 Tm [(is)-244(the)-244(size)]TJ 0.984 0 0 1 124.802 429.167 Tm [(of)]TJ/F78 9.9626 Tf 1 0 0 1 136.206 429.167 Tm [(x)]TJ/F84 9.9626 Tf 0.984 0 0 1 143.904 429.167 Tm [(ar)18(e)-254(initialized)-254(to)]TJ/F78 9.9626 Tf 1 0 0 1 216.929 429.167 Tm [(i)-49(x)]TJ/F192 10.3811 Tf 8.588 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F190 10.3811 Tf 7.046 0 Td [(\040)]TJ/F78 9.9626 Tf 13.332 0 Td [(i)]TJ/F84 9.9626 Tf 0.984 0 0 1 256.15 429.167 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 1 124.802 417.212 Tm [(each)-260(index)]TJ/F78 9.9626 Tf 1 0 0 1 175.703 417.212 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 181.308 417.212 Tm [(we)-260(have)-260(in)]TJ/F78 9.9626 Tf 1 0 0 1 233.102 417.212 Tm [(i)-49(x)]TJ/F192 10.3811 Tf 8.588 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 255.772 417.212 Tm [(the)-260(position)-260(that)-260(the)-259(item)]TJ/F78 9.9626 Tf 1 0 0 1 371.842 417.212 Tm [(x)]TJ/F192 10.3811 Tf 5.33 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F192 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 391.255 417.212 Tm [(occupied)-260(in)]TJ 1 0 0 1 124.802 405.257 Tm [(the)-250(original)-250(data)-250(sequence;)]TJ +/F84 9.9626 Tf 0.98 0 0 1 246.101 441.123 Tm [(then)-244(the)-244(entries)-244(in)]TJ/F78 9.9626 Tf 1 0 0 1 326.032 441.123 Tm [(i)-49(x)]TJ/F197 10.3811 Tf 8.587 0 Td [(\050)]TJ/F84 9.9626 Tf 0.98 0 0 1 338.769 441.123 Tm [(1)]TJ 1 0 0 1 346.542 441.123 Tm [(:)]TJ/F78 9.9626 Tf 5.507 0 Td [(n)]TJ/F197 10.3811 Tf 5.788 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 364.37 441.123 Tm [(wher)18(e)]TJ/F78 9.9626 Tf 1 0 0 1 393.733 441.123 Tm [(n)]TJ/F84 9.9626 Tf 0.98 0 0 1 401.779 441.123 Tm [(is)-244(the)-244(size)]TJ 0.984 0 0 1 124.802 429.167 Tm [(of)]TJ/F78 9.9626 Tf 1 0 0 1 136.206 429.167 Tm [(x)]TJ/F84 9.9626 Tf 0.984 0 0 1 143.904 429.167 Tm [(ar)18(e)-254(initialized)-254(to)]TJ/F78 9.9626 Tf 1 0 0 1 216.929 429.167 Tm [(i)-49(x)]TJ/F197 10.3811 Tf 8.588 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F195 10.3811 Tf 7.046 0 Td [(\040)]TJ/F78 9.9626 Tf 13.332 0 Td [(i)]TJ/F84 9.9626 Tf 0.984 0 0 1 256.15 429.167 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 1 124.802 417.212 Tm [(each)-260(index)]TJ/F78 9.9626 Tf 1 0 0 1 175.703 417.212 Tm [(i)]TJ/F84 9.9626 Tf 1.02 0 0 1 181.308 417.212 Tm [(we)-260(have)-260(in)]TJ/F78 9.9626 Tf 1 0 0 1 233.102 417.212 Tm [(i)-49(x)]TJ/F197 10.3811 Tf 8.588 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 255.772 417.212 Tm [(the)-260(position)-260(that)-260(the)-259(item)]TJ/F78 9.9626 Tf 1 0 0 1 371.842 417.212 Tm [(x)]TJ/F197 10.3811 Tf 5.33 0 Td [(\050)]TJ/F78 9.9626 Tf 4.204 0 Td [(i)]TJ/F197 10.3811 Tf 3.088 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 391.255 417.212 Tm [(occupied)-260(in)]TJ 1 0 0 1 124.802 405.257 Tm [(the)-250(original)-250(data)-250(sequence;)]TJ 0 g 0 G -12.453 -19.925 Td [(6.)]TJ 0 g 0 G - 1.02 0 0 1 124.802 385.332 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 136.291 385.332 Tm [(f)-160(l)-70(a)-47(g)]TJ/F192 10.3811 Tf 22.147 0 Td [(=)]TJ/F78 9.9626 Tf 13.061 0 Td [(p)-25(s)-25(b)]TJ + 1.02 0 0 1 124.802 385.332 Tm [(If)]TJ/F78 9.9626 Tf 1 0 0 1 136.291 385.332 Tm [(f)-160(l)-70(a)-47(g)]TJ/F197 10.3811 Tf 22.147 0 Td [(=)]TJ/F78 9.9626 Tf 13.061 0 Td [(p)-25(s)-25(b)]TJ ET q 1 0 0 1 186.188 385.531 cm @@ -22138,27 +22148,27 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F84 9.9626 Tf 1.02 0 0 1 252.283 385.332 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 1 124.857 373.377 Tm [(i)-49(x)]TJ/F192 10.3811 Tf 8.587 0 Td [(\050)]TJ/F84 9.9626 Tf 4.274 0 Td [(:)]TJ/F192 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 +/F84 9.9626 Tf 1.02 0 0 1 252.283 385.332 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 1 124.857 373.377 Tm [(i)-49(x)]TJ/F197 10.3811 Tf 8.587 0 Td [(\050)]TJ/F84 9.9626 Tf 4.274 0 Td [(:)]TJ/F197 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 -34.749 -19.926 Td [(7.)]TJ 0 g 0 G - 0.98 0 0 1 124.493 353.451 Tm [(Thr)18(ee)-256(sorting)-256(algorithms)-256(have)-256(a)-256(similar)]TJ/F78 9.9626 Tf 1 0 0 1 296.993 353.451 Tm [(O)]TJ/F192 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/F192 10.3811 Tf 5.789 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 344.691 353.451 Tm [(expected)-256(r)8(unning)-256(time,)]TJ 1.017 0 0 1 124.384 341.496 Tm [(wher)18(eas)-247(insertion)-246(sort)-247(has)-246(an)-247(expected)-246(r)8(unning)-247(time)]TJ/F78 9.9626 Tf 1 0 0 1 360.734 341.496 Tm [(O)]TJ/F192 10.3811 Tf 8 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F84 7.5716 Tf 5.664 3.617 Td [(2)]TJ/F192 10.3811 Tf 4.408 -3.617 Td [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 387.23 341.496 Tm [(;)-247(of)-246(the)-247(other)]TJ 0.999 0 0 1 124.802 329.541 Tm [(thr)18(ee,)-250(in)-250(the)-249(average)-250(case)-250(quicksort)-250(will)-249(be)-250(the)-250(fastest)-250(and)-249(mer)18(ge-sort)-250(the)]TJ 1 0 0 1 124.802 317.586 Tm [(slowest.)-310(However)-250(note)-250(that:)]TJ + 0.98 0 0 1 124.493 353.451 Tm [(Thr)18(ee)-256(sorting)-256(algorithms)-256(have)-256(a)-256(similar)]TJ/F78 9.9626 Tf 1 0 0 1 296.993 353.451 Tm [(O)]TJ/F197 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/F197 10.3811 Tf 5.789 0 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 344.691 353.451 Tm [(expected)-256(r)8(unning)-256(time,)]TJ 1.017 0 0 1 124.384 341.496 Tm [(wher)18(eas)-247(insertion)-246(sort)-247(has)-246(an)-247(expected)-246(r)8(unning)-247(time)]TJ/F78 9.9626 Tf 1 0 0 1 360.734 341.496 Tm [(O)]TJ/F197 10.3811 Tf 8 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F84 7.5716 Tf 5.664 3.617 Td [(2)]TJ/F197 10.3811 Tf 4.408 -3.617 Td [(\051)]TJ/F84 9.9626 Tf 1.017 0 0 1 387.23 341.496 Tm [(;)-247(of)-246(the)-247(other)]TJ 0.999 0 0 1 124.802 329.541 Tm [(thr)18(ee,)-250(in)-250(the)-249(average)-250(case)-250(quicksort)-250(will)-249(be)-250(the)-250(fastest)-250(and)-249(mer)18(ge-sort)-250(the)]TJ 1 0 0 1 124.802 317.586 Tm [(slowest.)-310(However)-250(note)-250(that:)]TJ 0 g 0 G 5.32 -19.925 Td [(\050a\051)]TJ 0 g 0 G - 1.02 0 0 1 146.411 297.661 Tm [(The)-274(the)-273(best)-274(case)-274(r)8(unning)-274(ti)1(me)-274(for)-274(insertion)-274(so)1(rt)-274(is)]TJ/F243 9.9626 Tf 1 0 0 1 376.039 297.661 Tm [(W)]TJ/F192 10.3811 Tf 8.528 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F192 10.3811 Tf 5.789 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 401.56 297.661 Tm [(while)-274(the)]TJ 1.02 0 0 1 146.72 285.705 Tm [(average)-359(and)-360(worst)-359(case)-359(ar)17(e)]TJ/F78 9.9626 Tf 1 0 0 1 275.57 285.705 Tm [(O)]TJ/F192 10.3811 Tf 7.999 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F84 7.5716 Tf 5.664 3.617 Td [(2)]TJ/F192 10.3811 Tf 4.409 -3.617 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 302.065 285.705 Tm [(;)-416(however)-360(for)-359(very)-359(short)-360(input)]TJ 1 0 0 1 146.72 273.75 Tm [(sequences)-250(this)-250(is)-250(likely)-250(to)-250(be)-250(the)-250(fastest)-250(method;)]TJ + 1.02 0 0 1 146.411 297.661 Tm [(The)-286(best)-287(case)-286(r)8(unning)-286(time)-287(for)-286(insertion)-286(sort)-287(is)]TJ/F241 9.9626 Tf 1 0 0 1 360.32 297.661 Tm [(W)]TJ/F197 10.3811 Tf 8.528 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F197 10.3811 Tf 5.789 0 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 385.97 297.661 Tm [(while)-286(the)-287(av-)]TJ 1.02 0 0 1 146.72 285.705 Tm [(erage)-277(and)-278(worst)-277(case)-277(ar)18(e)]TJ/F78 9.9626 Tf 1 0 0 1 260.579 285.705 Tm [(O)]TJ/F197 10.3811 Tf 8 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F84 7.5716 Tf 5.664 3.617 Td [(2)]TJ/F197 10.3811 Tf 4.408 -3.617 Td [(\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 287.075 285.705 Tm [(;)-293(mor)17(eover)73(,)-285(for)-278(very)-277(short)-277(input)-278(se-)]TJ 1 0 0 1 146.441 273.75 Tm [(quences)-250(this)-250(is)-250(likely)-250(to)-250(be)-250(the)-250(fastest)-250(method;)]TJ 0 g 0 G - -17.126 -15.94 Td [(\050b\051)]TJ + -16.847 -15.94 Td [(\050b\051)]TJ 0 g 0 G - 0.98 0 0 1 146.411 257.81 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 1 338.306 257.81 Tm [(O)]TJ/F192 10.3811 Tf 8 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F84 7.5716 Tf 5.664 3.616 Td [(2)]TJ/F192 10.3811 Tf 4.408 -3.616 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 364.802 257.81 Tm [(;)-245(the)-241(algorithm)-241(im-)]TJ 1.007 0 0 1 146.421 245.855 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 1 146.72 233.9 Tm [(but)-250(the)-250(worst)-250(case)-250(may)-250(still)-250(apply;)]TJ + 0.98 0 0 1 146.411 257.81 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 1 338.306 257.81 Tm [(O)]TJ/F197 10.3811 Tf 8 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(n)]TJ/F84 7.5716 Tf 5.664 3.616 Td [(2)]TJ/F197 10.3811 Tf 4.408 -3.616 Td [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 364.802 257.81 Tm [(;)-245(the)-241(algorithm)-241(im-)]TJ 1.007 0 0 1 146.421 245.855 Tm 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[(\024)]TJ/F78 9.9626 Tf 11.016 0 Td [(i)-47(a)-25(m)]TJ/F190 10.3811 Tf 18.678 0 Td [(\024)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F190 10.3811 Tf 13.503 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1;)]TJ + 1.02 0 0 1 175.611 332.495 Tm [(For)-337(pr)18(ocesses)-337(in)-337(the)-337(virtual)-337(parallel)-337(machine)-336(the)-337(identi\002er)-337(will)-337(satisfy)]TJ 1 0 0 1 175.611 320.54 Tm [(0)]TJ/F195 10.3811 Tf 7.874 0 Td [(\024)]TJ/F78 9.9626 Tf 11.016 0 Td [(i)-47(a)-25(m)]TJ/F195 10.3811 Tf 18.678 0 Td [(\024)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F195 10.3811 Tf 13.503 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1;)]TJ 0 g 0 G -84.741 -19.925 Td [(2.)]TJ 0 g 0 G - 1.02 0 0 1 175.611 300.615 Tm [(If)-304(the)-303(user)-304(has)-304(r)18(equested)-304(on)]TJ/F145 9.9626 Tf 1 0 0 1 305.201 300.615 Tm [(psb_init)]TJ/F84 9.9626 Tf 1.02 0 0 1 350.13 300.615 Tm [(a)-304(number)-303(of)-304(pr)18(ocesses)-304(less)-304(than)]TJ 1.02 0 0 1 175.611 288.659 Tm [(the)-253(total)-254(available)-253(in)-253(the)-254(parallel)-253(execution)-253(envir)17(onment,)-255(the)-253(r)17(emaining)]TJ 0.992 0 0 1 175.313 276.704 Tm [(pr)18(ocesses)-251(will)-251(have)-251(on)-252(r)19(eturn)]TJ/F78 9.9626 Tf 1 0 0 1 305.592 276.704 Tm [(i)-47(a)-25(m)]TJ/F192 10.3811 Tf 18.677 0 Td [(=)]TJ/F190 10.3811 Tf 11.086 0 Td [(\000)]TJ/F84 9.9626 Tf 0.992 0 0 1 343.549 276.704 Tm [(1;)-252(the)-251(only)-251(call)-251(involving)]TJ/F145 9.9626 Tf 1 0 0 1 453.875 276.704 Tm [(ctxt)]TJ/F84 9.9626 Tf 0.992 0 0 1 477.279 276.704 Tm [(that)]TJ 1 0 0 1 175.611 264.749 Tm [(any)-250(such)-250(pr)18(ocess)-250(may)-250(execute)-250(is)-250(to)]TJ/F145 9.9626 Tf 155.296 0 Td [(psb_exit)]TJ/F84 9.9626 Tf 41.843 0 Td [(.)]TJ + 1.02 0 0 1 175.611 300.615 Tm [(If)-304(the)-303(user)-304(has)-304(r)18(equested)-304(on)]TJ/F147 9.9626 Tf 1 0 0 1 305.201 300.615 Tm [(psb_init)]TJ/F84 9.9626 Tf 1.02 0 0 1 350.13 300.615 Tm [(a)-304(number)-303(of)-304(pr)18(ocesses)-304(less)-304(than)]TJ 1.02 0 0 1 175.611 288.659 Tm [(the)-253(total)-254(available)-253(in)-253(the)-254(parallel)-253(execution)-253(envir)17(onment,)-255(the)-253(r)17(emaining)]TJ 0.992 0 0 1 175.313 276.704 Tm [(pr)18(ocesses)-251(will)-251(have)-251(on)-252(r)19(eturn)]TJ/F78 9.9626 Tf 1 0 0 1 305.592 276.704 Tm [(i)-47(a)-25(m)]TJ/F197 10.3811 Tf 18.677 0 Td [(=)]TJ/F195 10.3811 Tf 11.086 0 Td [(\000)]TJ/F84 9.9626 Tf 0.992 0 0 1 343.549 276.704 Tm [(1;)-252(the)-251(only)-251(call)-251(involving)]TJ/F147 9.9626 Tf 1 0 0 1 453.875 276.704 Tm [(ctxt)]TJ/F84 9.9626 Tf 0.992 0 0 1 477.279 276.704 Tm [(that)]TJ 1 0 0 1 175.611 264.749 Tm [(any)-250(such)-250(pr)18(ocess)-250(may)-250(execute)-250(is)-250(to)]TJ/F147 9.9626 Tf 155.296 0 Td [(psb_exit)]TJ/F84 9.9626 Tf 41.843 0 Td [(.)]TJ 0 g 0 G -57.662 -174.311 Td [(114)]TJ 0 g 0 G @@ -22330,9 +22340,9 @@ ET endstream endobj -1777 0 obj +1778 0 obj << -/Length 4507 +/Length 4473 >> stream 0 g 0 G @@ -22348,7 +22358,7 @@ BT /F75 11.9552 Tf 151.016 706.129 Td [(exit)-250(\227)-250(Exit)-250(from)-250(PSBLAS)-250(parallel)-250(environment)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_exit\050ctxt\051)]TJ 0 -11.955 Td [(call)-525(psb_exit\050ctxt,close\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(exits)-250(fr)18(om)-250(the)-250(PSBLAS)-250(parallel)-250(virtual)-250(machine.)]TJ +/F147 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_exit\050ctxt\051)]TJ 0 -11.955 Td [(call)-525(psb_exit\050ctxt,close\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(exits)-250(fr)18(om)-250(the)-250(PSBLAS)-250(parallel)-250(virtual)-250(machine.)]TJ 0 g 0 G /F75 9.9626 Tf -14.944 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G @@ -22367,23 +22377,23 @@ BT 0 g 0 G /F84 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - 0.98 0 0 1 124.493 426.144 Tm [(This)-218(r)19(outine)-218(may)-217(be)-218(called)-217(even)-218(if)-218(a)-217(pr)18(evious)-217(call)-218(to)]TJ/F145 9.9626 Tf 1 0 0 1 345.207 426.144 Tm [(psb_info)]TJ/F84 9.9626 Tf 0.98 0 0 1 389.174 426.144 Tm [(has)-218(r)19(eturned)]TJ 1.02 0 0 1 124.384 414.189 Tm [(with)]TJ/F78 9.9626 Tf 1 0 0 1 147.897 414.189 Tm [(i)-47(a)-25(m)]TJ/F192 10.3811 Tf 19.251 0 Td [(=)]TJ/F190 10.3811 Tf 11.66 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 187.002 414.189 Tm [(1;)-291(indeed,)-283(it)-275(it)-276(is)-276(the)-275(only)-276(r)18(outine)-276(that)-275(may)-276(be)-275(called)-276(with)]TJ 1 0 0 1 124.802 402.234 Tm [(ar)18(gument)]TJ/F145 9.9626 Tf 45.389 0 Td [(ctxt)]TJ/F84 9.9626 Tf 23.412 0 Td [(in)-250(this)-250(situation.)]TJ + 0.98 0 0 1 124.493 426.144 Tm [(This)-218(r)19(outine)-218(may)-217(be)-218(called)-217(even)-218(if)-218(a)-217(pr)18(evious)-217(call)-218(to)]TJ/F147 9.9626 Tf 1 0 0 1 345.207 426.144 Tm [(psb_info)]TJ/F84 9.9626 Tf 0.98 0 0 1 389.174 426.144 Tm [(has)-218(r)19(eturned)]TJ 1.02 0 0 1 124.384 414.189 Tm [(with)]TJ/F78 9.9626 Tf 1 0 0 1 147.897 414.189 Tm [(i)-47(a)-25(m)]TJ/F197 10.3811 Tf 19.251 0 Td [(=)]TJ/F195 10.3811 Tf 11.66 0 Td [(\000)]TJ/F84 9.9626 Tf 1.02 0 0 1 187.002 414.189 Tm [(1;)-291(indeed,)-283(it)-275(it)-276(is)-276(the)-275(only)-276(r)18(outine)-276(that)-275(may)-276(be)-275(called)-276(with)]TJ 1 0 0 1 124.802 402.234 Tm [(ar)18(gument)]TJ/F147 9.9626 Tf 45.389 0 Td [(ctxt)]TJ/F84 9.9626 Tf 23.412 0 Td [(in)-250(this)-250(situation.)]TJ 0 g 0 G -81.254 -19.926 Td [(2.)]TJ 0 g 0 G - 1.02 0 0 1 124.413 382.308 Tm [(A)-249(call)-249(to)-248(this)-249(r)18(outine)-249(with)]TJ/F145 9.9626 Tf 1 0 0 1 241.568 382.308 Tm [(close=.true.)]TJ/F84 9.9626 Tf 1.02 0 0 1 306.86 382.308 Tm [(implies)-249(a)-248(call)-249(to)]TJ/F145 9.9626 Tf 1 0 0 1 379.547 382.308 Tm [(MPI_Finalize)]TJ/F84 9.9626 Tf 1.02 0 0 1 442.311 382.308 Tm [(,)]TJ 1 0 0 1 124.802 370.353 Tm [(after)-250(which)-250(no)-250(parallel)-250(r)18(outine)-250(may)-250(be)-250(called.)]TJ + 1.02 0 0 1 124.413 382.308 Tm [(A)-249(call)-249(to)-248(this)-249(r)18(outine)-249(with)]TJ/F147 9.9626 Tf 1 0 0 1 241.568 382.308 Tm [(close=.true.)]TJ/F84 9.9626 Tf 1.02 0 0 1 306.86 382.308 Tm [(implies)-249(a)-248(call)-249(to)]TJ/F147 9.9626 Tf 1 0 0 1 379.547 382.308 Tm [(MPI_Finalize)]TJ/F84 9.9626 Tf 1.02 0 0 1 442.311 382.308 Tm [(,)]TJ 1 0 0 1 124.802 370.353 Tm [(after)-250(which)-250(no)-250(parallel)-250(r)18(outine)-250(may)-250(be)-250(called.)]TJ 0 g 0 G -12.453 -19.925 Td [(3.)]TJ 0 g 0 G - 1.015 0 0 1 124.802 350.428 Tm [(If)-245(the)-246(user)-245(whishes)-246(to)-245(use)-246(multiple)-245(communication)-246(contexts)-245(in)-246(the)-245(same)]TJ 1.02 0 0 1 124.503 338.473 Tm [(pr)18(ogram,)-354(or)-332(to)-332(enter)-332(and)-332(exit)-332(multiple)-332(times)-332(into)-332(the)-332(parallel)-333(en)1(vir)17(on-)]TJ 1.02 0 0 1 124.802 326.518 Tm [(ment,)-356(this)-334(r)18(outine)-334(may)-334(be)-334(called)-334(to)-333(selectively)-334(close)-334(the)-334(contexts)-334(with)]TJ/F145 9.9626 Tf 1 0 0 1 124.802 314.562 Tm [(close=.false.)]TJ/F84 9.9626 Tf 0.98 0 0 1 192.796 314.562 Tm [(,)-206(while)-194(on)-194(the)-194(last)-194(call)-193(it)-194(should)-194(be)-194(called)-194(with)]TJ/F145 9.9626 Tf 1 0 0 1 386.196 314.562 Tm [(close=.true.)]TJ/F84 9.9626 Tf -261.394 -11.955 Td [(to)-250(shutdown)-250(in)-250(a)-250(clean)-250(way)-250(the)-250(entir)18(e)-250(parallel)-250(envir)18(onment.)]TJ + 1.015 0 0 1 124.802 350.428 Tm [(If)-245(the)-246(user)-245(whishes)-246(to)-245(use)-246(multiple)-245(communication)-246(contexts)-245(in)-246(the)-245(same)]TJ 1.02 0 0 1 124.503 338.473 Tm [(pr)18(ogram,)-354(or)-332(to)-332(enter)-332(and)-332(exit)-332(multiple)-332(times)-332(into)-332(the)-332(parallel)-333(en)1(vir)17(on-)]TJ 1.02 0 0 1 124.802 326.518 Tm [(ment,)-356(this)-334(r)18(outine)-334(may)-334(be)-334(called)-334(to)-333(selectively)-334(close)-334(the)-334(contexts)-334(with)]TJ/F147 9.9626 Tf 1 0 0 1 124.802 314.562 Tm [(close=.false.)]TJ/F84 9.9626 Tf 1.018 0 0 1 192.796 314.562 Tm [(,)-245(while)-245(on)-245(the)-245(last)-245(instance)-245(it)-245(should)-245(close)-245(in)-245(a)-245(clean)-245(way)]TJ 1 0 0 1 124.802 302.607 Tm [(the)-250(entir)18(e)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F147 9.9626 Tf 161.831 0 Td [(close=.true.)]TJ 0 g 0 G - 139.477 -212.169 Td [(115)]TJ +/F84 9.9626 Tf -22.354 -212.169 Td [(115)]TJ 0 g 0 G ET endstream endobj -1785 0 obj +1786 0 obj << /Length 2607 >> @@ -22415,7 +22425,7 @@ BT /F75 11.9552 Tf 248.952 706.129 Td [(comm)-250(\227)-250(Get)-250(the)-250(MPI)-250(communicator)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -98.247 -18.964 Td [(icomm)-525(=)-525(psb_get_mpi_comm\050ctxt\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 165.649 665.247 Tm [(This)-345(funct)1(ion)-345(r)18(eturns)-345(the)-344(MPI)-345(communicator)-344(associated)-345(with)-344(a)-345(PSBLAS)]TJ 1 0 0 1 150.705 653.292 Tm [(context)]TJ +/F147 9.9626 Tf -98.247 -18.964 Td [(icomm)-525(=)-525(psb_get_mpi_comm\050ctxt\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 165.649 665.247 Tm [(This)-345(funct)1(ion)-345(r)18(eturns)-345(the)-344(MPI)-345(communicator)-344(associated)-345(with)-344(a)-345(PSBLAS)]TJ 1 0 0 1 150.705 653.292 Tm [(context)]TJ 0 g 0 G /F75 9.9626 Tf 0 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G @@ -22433,7 +22443,7 @@ BT 0 g 0 G 0 -19.926 Td [(Function)-250(value)]TJ 0 g 0 G -/F84 9.9626 Tf 1.02 0 0 1 223.173 503.852 Tm [(The)-300(MPI)-299(communicator)-300(associated)-300(with)-300(the)-300(PSBLAS)-299(virtual)]TJ 1 0 0 1 175.313 491.897 Tm [(parallel)-250(machine.)]TJ 0.298 -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 [(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 [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ/F75 11.9552 Tf 0.999 0 0 1 150.705 422.159 Tm [(Notes)]TJ/F84 9.9626 Tf 0.999 0 0 1 185.028 422.159 Tm [(The)-249(subr)18(outine)-250(version)]TJ/F145 9.9626 Tf 1 0 0 1 289.412 422.159 Tm [(psb_get_mpicomm)]TJ/F84 9.9626 Tf 0.999 0 0 1 370.349 422.159 Tm [(is)-249(still)-250(available)-249(but)-250(is)-249(depr)18(e-)]TJ 1 0 0 1 150.705 410.204 Tm [(cated.)]TJ +/F84 9.9626 Tf 1.02 0 0 1 223.173 503.852 Tm [(The)-300(MPI)-299(communicator)-300(associated)-300(with)-300(the)-300(PSBLAS)-299(virtual)]TJ 1 0 0 1 175.313 491.897 Tm [(parallel)-250(machine.)]TJ 0.298 -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 [(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 [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ/F75 11.9552 Tf 0.999 0 0 1 150.705 422.159 Tm [(Notes)]TJ/F84 9.9626 Tf 0.999 0 0 1 185.028 422.159 Tm [(The)-249(subr)18(outine)-250(version)]TJ/F147 9.9626 Tf 1 0 0 1 289.412 422.159 Tm [(psb_get_mpicomm)]TJ/F84 9.9626 Tf 0.999 0 0 1 370.349 422.159 Tm [(is)-249(still)-250(available)-249(but)-250(is)-249(depr)18(e-)]TJ 1 0 0 1 150.705 410.204 Tm [(cated.)]TJ 0 g 0 G 164.383 -319.766 Td [(116)]TJ 0 g 0 G @@ -22441,7 +22451,7 @@ ET endstream endobj -1789 0 obj +1790 0 obj << /Length 3383 >> @@ -22473,7 +22483,7 @@ BT /F75 11.9552 Tf 198.143 706.129 Td [(rank)-250(\227)-250(Get)-250(the)-250(MPI)-250(rank)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -98.248 -18.964 Td [(rank)-525(=)-525(psb_get_mpi_rank\050ctxt,)-525(id\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(function)-250(r)18(eturns)-250(the)-250(MPI)-250(rank)-250(of)-250(the)-250(PSBLAS)-250(pr)18(ocess)]TJ/F78 9.9626 Tf 257.337 0 Td [(i)-32(d)]TJ +/F147 9.9626 Tf -98.248 -18.964 Td [(rank)-525(=)-525(psb_get_mpi_rank\050ctxt,)-525(id\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(function)-250(r)18(eturns)-250(the)-250(MPI)-250(rank)-250(of)-250(the)-250(PSBLAS)-250(pr)18(ocess)]TJ/F78 9.9626 Tf 257.337 0 Td [(i)-32(d)]TJ 0 g 0 G /F75 9.9626 Tf -272.281 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G @@ -22488,14 +22498,14 @@ BT 0 g 0 G /F75 9.9626 Tf -24.907 -19.926 Td [(id)]TJ 0 g 0 G -/F84 9.9626 Tf 14.386 0 Td [(Identi\002er)-250(of)-250(a)-250(pr)18(ocess)-250(in)-250(the)-250(PSBLAS)-250(virtual)-250(parallel)-250(machine.)]TJ 10.521 -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 [(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.)-310(0)]TJ/F190 10.3811 Tf 141.939 0 Td [(\024)]TJ/F78 9.9626 Tf 11.016 0 Td [(i)-32(d)]TJ/F190 10.3811 Tf 11.086 0 Td [(\024)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F190 10.3811 Tf 13.504 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1)]TJ +/F84 9.9626 Tf 14.386 0 Td [(Identi\002er)-250(of)-250(a)-250(pr)18(ocess)-250(in)-250(the)-250(PSBLAS)-250(virtual)-250(parallel)-250(machine.)]TJ 10.521 -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 [(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.)-310(0)]TJ/F195 10.3811 Tf 141.939 0 Td [(\024)]TJ/F78 9.9626 Tf 11.016 0 Td [(i)-32(d)]TJ/F195 10.3811 Tf 11.086 0 Td [(\024)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F195 10.3811 Tf 13.504 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1)]TJ 0 g 0 G /F75 9.9626 Tf -223.669 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(Funciton)-250(value)]TJ 0 g 0 G -/F84 9.9626 Tf 72.468 0 Td [(The)-250(MPI)-250(rank)-250(associated)-250(with)-250(the)-250(PSBLAS)-250(pr)18(ocess)]TJ/F78 9.9626 Tf 224.292 0 Td [(i)-32(d)]TJ/F84 9.9626 Tf 8.194 0 Td [(.)]TJ -280.047 -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 -66.072 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ/F75 11.9552 Tf 0.98 0 0 1 99.895 378.323 Tm [(Notes)]TJ/F84 9.9626 Tf 0.98 0 0 1 133.429 378.323 Tm [(The)-235(subr)18(outine)-235(version)]TJ/F145 9.9626 Tf 1 0 0 1 235.414 378.323 Tm [(psb_get_rank)]TJ/F84 9.9626 Tf 0.98 0 0 1 300.476 378.323 Tm [(is)-235(still)-236(available)-235(but)-236(is)-235(depr)18(ecated.)]TJ +/F84 9.9626 Tf 72.468 0 Td [(The)-250(MPI)-250(rank)-250(associated)-250(with)-250(the)-250(PSBLAS)-250(pr)18(ocess)]TJ/F78 9.9626 Tf 224.292 0 Td [(i)-32(d)]TJ/F84 9.9626 Tf 8.194 0 Td [(.)]TJ -280.047 -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 -66.072 -11.955 Td [(Intent:)]TJ/F75 9.9626 Tf 31.8 0 Td [(out)]TJ/F84 9.9626 Tf 14.944 0 Td [(.)]TJ/F75 11.9552 Tf 0.98 0 0 1 99.895 378.323 Tm [(Notes)]TJ/F84 9.9626 Tf 0.98 0 0 1 133.429 378.323 Tm [(The)-235(subr)18(outine)-235(version)]TJ/F147 9.9626 Tf 1 0 0 1 235.414 378.323 Tm [(psb_get_rank)]TJ/F84 9.9626 Tf 0.98 0 0 1 300.476 378.323 Tm [(is)-235(still)-236(available)-235(but)-236(is)-235(depr)18(ecated.)]TJ 0 g 0 G 1 0 0 1 264.279 90.438 Tm [(117)]TJ 0 g 0 G @@ -22503,7 +22513,7 @@ ET endstream endobj -1793 0 obj +1794 0 obj << /Length 1171 >> @@ -22521,7 +22531,7 @@ BT /F75 11.9552 Tf 201.825 706.129 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[(Function)-250(value)]TJ 0 g 0 G -/F84 9.9626 Tf 72.776 0 Td [(the)-250(elapsed)-250(time)-250(in)-250(seconds.)]TJ -47.87 -11.955 Td [(Returned)-250(as:)-310(a)]TJ/F145 9.9626 Tf 66.022 0 Td [(real\050psb_dpk_\051)]TJ/F84 9.9626 Tf 75.716 0 Td [(variable.)]TJ +/F84 9.9626 Tf 72.776 0 Td [(the)-250(elapsed)-250(time)-250(in)-250(seconds.)]TJ -47.87 -11.955 Td [(Returned)-250(as:)-310(a)]TJ/F147 9.9626 Tf 66.022 0 Td [(real\050psb_dpk_\051)]TJ/F84 9.9626 Tf 75.716 0 Td [(variable.)]TJ 0 g 0 G -2.261 -491.123 Td [(118)]TJ 0 g 0 G @@ -22540,7 +22550,7 @@ ET endstream endobj -1797 0 obj +1798 0 obj << /Length 1466 >> @@ -22558,7 +22568,7 @@ BT /F75 11.9552 Tf 0.998 0 0 1 150.976 706.129 Tm [(barrier)-250(\227)-251(Sinchronizati)1(on)-251(point)-250(parallel)-250(environment)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf 1 0 0 1 99.895 687.165 Tm [(call)-525(psb_barrier\050ctxt\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 114.839 665.247 Tm [(This)-293(subr)18(outine)-293(acts)-293(as)-293(an)-293(explicit)-293(synchr)18(onization)-293(point)-293(for)-293(the)-293(PSBLAS)]TJ 1 0 0 1 99.596 653.292 Tm [(parallel)-250(virtual)-250(machine.)]TJ +/F147 9.9626 Tf 1 0 0 1 99.895 687.165 Tm [(call)-525(psb_barrier\050ctxt\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 114.839 665.247 Tm [(This)-293(subr)18(outine)-293(acts)-293(as)-293(an)-293(explicit)-293(synchr)18(onization)-293(point)-293(for)-293(the)-293(PSBLAS)]TJ 1 0 0 1 99.596 653.292 Tm [(parallel)-250(virtual)-250(machine.)]TJ 0 g 0 G /F75 9.9626 Tf 0.299 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G @@ -22577,7 +22587,7 @@ ET endstream endobj -1801 0 obj +1802 0 obj << /Length 1287 >> @@ -22595,7 +22605,7 @@ BT /F75 11.9552 Tf 201.825 706.129 Td [(abort)-250(\227)-250(Abort)-250(a)-250(computation)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_abort\050ctxt\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(aborts)-250(computation)-250(on)-250(the)-250(parallel)-250(virtual)-250(machine.)]TJ +/F147 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_abort\050ctxt\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(aborts)-250(computation)-250(on)-250(the)-250(parallel)-250(virtual)-250(machine.)]TJ 0 g 0 G /F75 9.9626 Tf -14.944 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G @@ -22614,7 +22624,7 @@ ET endstream endobj -1805 0 obj +1806 0 obj << /Length 6065 >> @@ -22632,7 +22642,7 @@ BT /F75 11.9552 Tf 151.016 706.129 Td [(bcast)-250(\227)-250(Broadcast)-250(data)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -51.121 -19.198 Td [(call)-525(psb_bcast\050ctxt,)-525(dat)-525([,)-525(root,)-525(mode,)-525(request]\051)]TJ/F84 9.9626 Tf 0.992 0 0 1 114.839 664.53 Tm [(This)-251(subr)18(outine)-251(implements)-251(a)-251(br)18(oadcast)-250(operation)-251(based)-251(on)-251(the)-251(underlying)]TJ 1 0 0 1 99.895 652.575 Tm [(communication)-250(library)111(.)]TJ +/F147 9.9626 Tf -51.121 -19.198 Td [(call)-525(psb_bcast\050ctxt,)-525(dat)-525([,)-525(root,)-525(mode,)-525(request]\051)]TJ/F84 9.9626 Tf 0.992 0 0 1 114.839 664.53 Tm [(This)-251(subr)18(outine)-251(implements)-251(a)-251(br)18(oadcast)-250(operation)-251(based)-251(on)-251(the)-251(underlying)]TJ 1 0 0 1 99.895 652.575 Tm [(communication)-250(library)111(.)]TJ 0 g 0 G /F75 9.9626 Tf 0 -20.288 Td [(T)90(ype:)]TJ 0 g 0 G @@ -22651,15 +22661,15 @@ BT 0 g 0 G /F75 9.9626 Tf -24.907 -20.408 Td [(root)]TJ 0 g 0 G -/F84 9.9626 Tf 23.253 0 Td [(Root)-250(pr)18(ocess)-250(holding)-250(data)-250(to)-250(be)-250(br)18(oadcast.)]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 -60.523 -11.956 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)-250(0)]TJ/F148 10.3811 Tf 138.85 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 10.986 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F148 10.3811 Tf 19.923 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F190 10.3811 Tf 13.504 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1,)-250(default)-250(0)]TJ +/F84 9.9626 Tf 23.253 0 Td [(Root)-250(pr)18(ocess)-250(holding)-250(data)-250(to)-250(be)-250(br)18(oadcast.)]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 -60.523 -11.956 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)-250(0)]TJ/F152 10.3811 Tf 138.85 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 10.986 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F152 10.3811 Tf 19.923 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F195 10.3811 Tf 13.504 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1,)-250(default)-250(0)]TJ 0 g 0 G /F75 9.9626 Tf -246.025 -20.409 Td [(mode)]TJ 0 g 0 G -/F84 9.9626 Tf 0.983 0 0 1 129.843 362.871 Tm [(Whether)-256(the)-255(call)-256(is)-256(started)-256(in)-255(non-blocking)-256(mode)-256(and)-256(completed)-255(later)75(,)-256(or)]TJ 1 0 0 1 124.802 350.916 Tm [(is)-250(executed)-250(synchr)18(onously)111(.)]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 1.02 0 0 1 124.802 303.096 Tm 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[(Whether)-256(the)-255(call)-256(is)-256(started)-256(in)-255(non-blocking)-256(mode)-256(and)-256(completed)-255(later)75(,)-256(or)]TJ 1 0 0 1 124.802 350.916 Tm [(is)-250(executed)-250(synchr)18(onously)111(.)]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 1.02 0 0 1 124.802 303.096 Tm [(Speci\002ed)-285(as:)-383(an)-285(integer)-285(value.)-423(The)-284(action)-285(to)-285(be)-285(taken)-284(is)-285(determined)-285(by)]TJ 1.02 0 0 1 124.802 291.14 Tm [(its)-329(bit)-328(\002elds,)-350(which)-329(can)-328(be)-329(set)-329(with)-328(bitwise)]TJ/F147 9.9626 Tf 1 0 0 1 323.986 291.14 Tm [(OR)]TJ/F84 9.9626 Tf 1.02 0 0 1 334.446 291.14 Tm [(.)-329(Basic)-328(action)-329(values)-329(ar)18(e)]TJ/F147 9.9626 Tf 1 0 0 1 124.802 279.185 Tm [(psb_collective_start_)]TJ/F84 9.9626 Tf 0.98 0 0 1 234.639 279.185 Tm [(,)]TJ/F147 9.9626 Tf 1 0 0 1 239.567 279.185 Tm [(psb_collective_end_)]TJ/F84 9.9626 Tf 0.98 0 0 1 338.943 279.185 Tm [(.)-316(Default:)-316(both)-255(\002elds)-254(ar)18(e)]TJ 1 0 0 1 124.802 267.23 Tm [(selected)-250(\050i.e.)-310(r)18(equir)18(e)-250(synchr)18(onous)-250(completion\051.)]TJ 0 g 0 G /F75 9.9626 Tf -24.907 -32.364 Td [(request)]TJ 0 g 0 G -/F84 9.9626 Tf 38.346 0 Td [(A)-250(r)18(equest)-250(variable)-250(to)-250(check)-250(for)-250(operation)-250(completion.)]TJ -13.439 -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 [(inout)]TJ/F84 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(If)]TJ/F145 9.9626 Tf 9.166 0 Td [(mode)]TJ/F84 9.9626 Tf 23.412 0 Td 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279.185 Tm [(psb_collective_start_)]TJ/F84 9.9626 Tf 0.98 0 0 1 234.639 279.185 Tm [(,)]TJ/F145 9.9626 Tf 1 0 0 1 239.567 279.185 Tm [(psb_collective_end_)]TJ/F84 9.9626 Tf 0.98 0 0 1 338.943 279.185 Tm [(.)-316(Default:)-316(both)-255(\002elds)-254(ar)18(e)]TJ 1 0 0 1 124.802 267.23 Tm [(selected)-250(\050i.e.)-310(r)18(equir)18(e)-250(synchr)18(onous)-250(completion\051.)]TJ +/F84 9.9626 Tf 0.983 0 0 1 129.843 362.871 Tm [(Whether)-256(the)-255(call)-256(is)-256(started)-256(in)-255(non-blocking)-256(mode)-256(and)-256(completed)-255(later)75(,)-256(or)]TJ 1 0 0 1 124.802 350.916 Tm [(is)-250(executed)-250(synchr)18(onously)111(.)]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 1.02 0 0 1 124.802 303.096 Tm 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[(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 [(If)]TJ/F147 9.9626 Tf 9.166 0 Td [(mode)]TJ/F84 9.9626 Tf 23.412 0 Td [(speci\002es)-250(non-blocking)-250(action,)-250(then)-250(this)-250(variable)-250(must)-250(be)-250(pr)18(esent.)]TJ 0 g 0 G /F75 9.9626 Tf -57.485 -22.401 Td [(On)-250(Return)]TJ 0 g 0 G @@ -24299,7 +24309,7 @@ ET endstream endobj -1880 0 obj +1881 0 obj << /Length 6575 >> @@ -24311,7 +24321,7 @@ BT 0 g 0 G /F75 9.9626 Tf -24.906 -19.926 Td [(request)]TJ 0 g 0 G -/F84 9.9626 Tf 38.346 0 Td [(A)-250(r)18(equest)-250(variable)-250(to)-250(check)-250(for)-250(operation)-250(completion.)]TJ -13.44 -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 [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(If)]TJ/F145 9.9626 Tf 9.166 0 Td [(mode)]TJ/F84 9.9626 Tf 23.412 0 Td [(speci\002es)-250(non-blocking)-250(action,)-250(then)-250(this)-250(variable)-250(must)-250(be)-250(pr)18(esent.)]TJ/F75 11.9552 Tf -57.484 -21.918 Td [(Notes)]TJ +/F84 9.9626 Tf 38.346 0 Td [(A)-250(r)18(equest)-250(variable)-250(to)-250(check)-250(for)-250(operation)-250(completion.)]TJ -13.44 -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 [(inout)]TJ/F84 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(If)]TJ/F147 9.9626 Tf 9.166 0 Td [(mode)]TJ/F84 9.9626 Tf 23.412 0 Td [(speci\002es)-250(non-blocking)-250(action,)-250(then)-250(this)-250(variable)-250(must)-250(be)-250(pr)18(esent.)]TJ/F75 11.9552 Tf -57.484 -21.918 Td [(Notes)]TJ 0 g 0 G /F84 9.9626 Tf 12.453 -19.926 Td [(1.)]TJ 0 g 0 G @@ -24319,22 +24329,22 @@ BT 0 g 0 G -12.453 -19.925 Td [(2.)]TJ 0 g 0 G - 0.999 0 0 1 175.611 540.749 Tm [(Denoting)-251(by)]TJ/F78 9.9626 Tf 1 0 0 1 232.93 540.749 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 1 251.713 540.749 Tm [(the)-251(value)-251(of)-250(the)-251(variable)]TJ/F78 9.9626 Tf 1 0 0 1 360.51 540.749 Tm [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 0.999 0 0 1 376.501 540.749 Tm [(on)-251(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 425.568 540.749 Tm [(i)]TJ/F84 9.9626 Tf 0.999 0 0 1 428.532 540.749 Tm [(,)-251(the)-251(output)]TJ/F78 9.9626 Tf 1 0 0 1 482.247 540.749 Tm [(r)-17(e)-25(s)]TJ/F84 9.9626 Tf -306.636 -11.955 Td [(is)-250(equivalent)-250(to)-250(the)-250(computation)-250(of)]TJ/F78 9.9626 Tf 124.797 -25.467 Td [(r)-17(e)-25(s)]TJ/F192 10.3811 Tf 15.061 0 Td [(=)]TJ/F17 9.9626 Tf 11.086 10.922 Td [(r)]TJ + 0.999 0 0 1 175.611 540.749 Tm [(Denoting)-251(by)]TJ/F78 9.9626 Tf 1 0 0 1 232.93 540.749 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 1 251.713 540.749 Tm [(the)-251(value)-251(of)-250(the)-251(variable)]TJ/F78 9.9626 Tf 1 0 0 1 360.51 540.749 Tm [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 0.999 0 0 1 376.501 540.749 Tm [(on)-251(pr)18(ocess)]TJ/F78 9.9626 Tf 1 0 0 1 425.568 540.749 Tm [(i)]TJ/F84 9.9626 Tf 0.999 0 0 1 428.532 540.749 Tm [(,)-251(the)-251(output)]TJ/F78 9.9626 Tf 1 0 0 1 482.247 540.749 Tm [(r)-17(e)-25(s)]TJ/F84 9.9626 Tf -306.636 -11.955 Td [(is)-250(equivalent)-250(to)-250(the)-250(computation)-250(of)]TJ/F78 9.9626 Tf 124.797 -25.467 Td [(r)-17(e)-25(s)]TJ/F197 10.3811 Tf 15.061 0 Td [(=)]TJ/F17 9.9626 Tf 11.086 10.922 Td [(r)]TJ ET q 1 0 0 1 336.642 514.443 cm []0 d 0 J 0.389 w 0 0 m 30.512 0 l S Q BT -/F243 13.9477 Tf 336.766 501.255 Td [(\345)]TJ/F78 7.5716 Tf 4.245 -8.765 Td [(i)]TJ/F78 9.9626 Tf 8.365 10.837 Td [(d)-40(a)-25(t)]TJ/F84 7.5716 Tf 13.494 3.472 Td [(2)]TJ/F78 7.5716 Tf 0.042 -7.026 Td [(i)]TJ/F84 9.9626 Tf 4.242 3.554 Td [(,)]TJ -191.961 -30.807 Td [(with)-250(car)18(e)-250(taken)-250(to)-250(avoid)-250(unnecessary)-250(over\003ow)92(.)]TJ +/F241 13.9477 Tf 336.766 501.255 Td [(\345)]TJ/F78 7.5716 Tf 4.245 -8.765 Td [(i)]TJ/F78 9.9626 Tf 8.365 10.837 Td [(d)-40(a)-25(t)]TJ/F84 7.5716 Tf 13.494 3.472 Td [(2)]TJ/F78 7.5716 Tf 0.042 -7.026 Td [(i)]TJ/F84 9.9626 Tf 4.242 3.554 Td [(,)]TJ -191.961 -30.807 Td [(with)-250(car)18(e)-250(taken)-250(to)-250(avoid)-250(unnecessary)-250(over\003ow)92(.)]TJ 0 g 0 G -12.035 -19.925 Td [(3.)]TJ 0 g 0 G - 0.98 0 0 1 175.303 452.595 Tm [(The)]TJ/F145 9.9626 Tf 1 0 0 1 193.994 452.595 Tm [(dat)]TJ/F84 9.9626 Tf 0.98 0 0 1 212.032 452.595 Tm [(ar)18(gument)-240(is)-240(both)-241(input)-240(and)-241(output,)-243(and)-240(its)-241(value)-240(may)-240(be)-241(changed)]TJ 1 0 0 1 175.611 440.64 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 + 0.98 0 0 1 175.303 452.595 Tm [(The)]TJ/F147 9.9626 Tf 1 0 0 1 193.994 452.595 Tm [(dat)]TJ/F84 9.9626 Tf 0.98 0 0 1 212.032 452.595 Tm [(ar)18(gument)-240(is)-240(both)-241(input)-240(and)-241(output,)-243(and)-240(its)-241(value)-240(may)-240(be)-241(changed)]TJ 1 0 0 1 175.611 440.64 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 -19.926 Td [(4.)]TJ 0 g 0 G - 1.02 0 0 1 175.303 420.714 Tm [(The)]TJ/F145 9.9626 Tf 1 0 0 1 195.057 420.714 Tm [(mode)]TJ/F84 9.9626 Tf 1.02 0 0 1 218.722 420.714 Tm [(ar)18(gument)-270(can)-270(be)-270(built)-270(with)-270(the)-270(bitwise)]TJ/F145 9.9626 Tf 1 0 0 1 395.907 420.714 Tm [(IOR\050\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 424.803 420.714 Tm [(operator;)-282(in)-270(the)]TJ 0.988 0 0 1 175.611 408.759 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 1 175.611 396.804 Tm [(the)]TJ/F145 9.9626 Tf 16.309 0 Td [(request)]TJ/F84 9.9626 Tf 39.103 0 Td [(ar)18(gument)-250(needs)-250(not)-250(be)-250(speci\002ed:)]TJ + 1.02 0 0 1 175.303 420.714 Tm [(The)]TJ/F147 9.9626 Tf 1 0 0 1 195.057 420.714 Tm [(mode)]TJ/F84 9.9626 Tf 1.02 0 0 1 218.722 420.714 Tm [(ar)18(gument)-270(can)-270(be)-270(built)-270(with)-270(the)-270(bitwise)]TJ/F147 9.9626 Tf 1 0 0 1 395.907 420.714 Tm [(IOR\050\051)]TJ/F84 9.9626 Tf 1.02 0 0 1 424.803 420.714 Tm [(operator;)-282(in)-270(the)]TJ 0.988 0 0 1 175.611 408.759 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 1 175.611 396.804 Tm [(the)]TJ/F147 9.9626 Tf 16.309 0 Td [(request)]TJ/F84 9.9626 Tf 39.103 0 Td [(ar)18(gument)-250(needs)-250(not)-250(be)-250(speci\002ed:)]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 @@ -24348,7 +24358,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F233 8.9664 Tf 188.015 374.189 Td [(call)]TJ +/F235 8.9664 Tf 188.015 374.189 Td [(call)]TJ 0 g 0 G [-525(psb_nrm2\050ctxt,dat,&)]TJ 0.73 0.73 0.73 rg 0.73 0.73 0.73 RG @@ -24369,7 +24379,7 @@ BT 0 g 0 G /F84 9.9626 Tf -48.393 -36.164 Td [(5.)]TJ 0 g 0 G - 1.02 0 0 1 175.113 327.066 Tm [(When)-250(splitting)-250(the)-250(operation)-250(in)-250(two)-250(c)1(alls,)-252(the)]TJ/F145 9.9626 Tf 1 0 0 1 379.88 327.066 Tm [(dat)]TJ/F84 9.9626 Tf 1.02 0 0 1 398.111 327.066 Tm [(ar)18(gument)]TJ/F78 9.9626 Tf 1.02 0 0 1 444.411 327.066 Tm [(must)-250(not)]TJ/F84 9.9626 Tf 1.02 0 0 1 483.929 327.066 Tm [(be)]TJ 1 0 0 1 175.611 315.11 Tm [(accessed)-250(between)-250(calls:)]TJ + 1.02 0 0 1 175.113 327.066 Tm [(When)-250(splitting)-250(the)-250(operation)-250(in)-250(two)-250(c)1(alls,)-252(the)]TJ/F147 9.9626 Tf 1 0 0 1 379.88 327.066 Tm [(dat)]TJ/F84 9.9626 Tf 1.02 0 0 1 398.111 327.066 Tm [(ar)18(gument)]TJ/F78 9.9626 Tf 1.02 0 0 1 444.411 327.066 Tm [(must)-250(not)]TJ/F84 9.9626 Tf 1.02 0 0 1 483.929 327.066 Tm [(be)]TJ 1 0 0 1 175.611 315.11 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 @@ -24381,7 +24391,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F233 8.9664 Tf 178.6 292.495 Td [(call)]TJ +/F235 8.9664 Tf 178.6 292.495 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 @@ -24404,12 +24414,12 @@ 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 -/F279 8.9664 Tf 37.658 0 Td [(!)-525(Do)-525(not)-525(access)-525(dat)]TJ +/F281 8.9664 Tf 37.658 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 -/F233 8.9664 Tf -37.658 -10.959 Td [(call)]TJ +/F235 8.9664 Tf -37.658 -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 @@ -24435,7 +24445,7 @@ ET endstream endobj -1890 0 obj +1891 0 obj << /Length 5618 >> @@ -24453,7 +24463,7 @@ BT /F75 11.9552 Tf 156.993 706.129 Td [(snd)-250(\227)-250(Send)-250(data)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_snd\050ctxt,)-525(dat,)-525(dst,)-525(m\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(sends)-250(a)-250(packet)-250(of)-250(data)-250(to)-250(a)-250(destination.)]TJ +/F147 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_snd\050ctxt,)-525(dat,)-525(dst,)-525(m\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(sends)-250(a)-250(packet)-250(of)-250(data)-250(to)-250(a)-250(destination.)]TJ 0 g 0 G /F75 9.9626 Tf -14.944 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G @@ -24472,11 +24482,11 @@ BT 0 g 0 G /F75 9.9626 Tf -24.907 -19.925 Td [(dst)]TJ 0 g 0 G -/F84 9.9626 Tf 18.81 0 Td [(Destination)-250(pr)18(ocess.)]TJ 6.097 -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 [(required)]TJ/F84 9.9626 Tf 39.293 0 Td [(.)]TJ -66.072 -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(an)-250(integer)-250(value)-250(0)]TJ/F148 10.3811 Tf 138.85 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(d)-25(s)-25(t)]TJ/F148 10.3811 Tf 15.689 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F190 10.3811 Tf 13.503 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1.)]TJ +/F84 9.9626 Tf 18.81 0 Td [(Destination)-250(pr)18(ocess.)]TJ 6.097 -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 [(required)]TJ/F84 9.9626 Tf 39.293 0 Td [(.)]TJ -66.072 -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(an)-250(integer)-250(value)-250(0)]TJ/F152 10.3811 Tf 138.85 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(d)-25(s)-25(t)]TJ/F152 10.3811 Tf 15.689 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F195 10.3811 Tf 13.503 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1.)]TJ 0 g 0 G /F75 9.9626 Tf -241.89 -31.88 Td [(m)]TJ 0 g 0 G -/F84 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows.)]TJ 11.069 -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 40.946 0 Td [(.)]TJ -67.725 -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(an)-250(integer)-250(value)-250(0)]TJ/F148 10.3811 Tf 138.85 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(m)]TJ/F148 10.3811 Tf 10.767 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F192 10.3811 Tf 15.94 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F192 10.3811 Tf 9.257 0 Td [(\051)]TJ/F84 9.9626 Tf 4.15 0 Td [(.)]TJ 1.02 0 0 1 124.304 294.637 Tm [(When)]TJ/F78 9.9626 Tf 1 0 0 1 153.769 294.637 Tm [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 1.02 0 0 1 169.747 294.637 Tm [(is)-244(a)-245(rank)-244(2)-245(array)109(,)-244(speci\002es)-245(the)-244(number)-244(of)-245(r)18(ows)-244(to)-245(be)-244(sent)-245(inde-)]TJ 0.98 0 0 1 124.503 282.682 Tm [(pendently)-236(of)-236(the)-236(leading)-236(dimension)]TJ/F78 9.9626 Tf 1 0 0 1 280.369 282.682 Tm [(s)-18(i)-32(z)-25(e)]TJ/F192 10.3811 Tf 15.94 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 0.98 0 0 1 314.077 282.682 Tm [(,)-170(1)]TJ/F192 10.3811 Tf 1 0 0 1 323.185 282.682 Tm [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 327.334 282.682 Tm [(;)-242(must)-236(have)-236(the)-236(same)-236(value)]TJ 1 0 0 1 124.802 270.727 Tm [(on)-250(sending)-250(and)-250(r)18(eceiving)-250(pr)18(ocesses.)]TJ +/F84 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows.)]TJ 11.069 -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 40.946 0 Td [(.)]TJ -67.725 -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(an)-250(integer)-250(value)-250(0)]TJ/F152 10.3811 Tf 138.85 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(m)]TJ/F152 10.3811 Tf 10.767 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F197 10.3811 Tf 15.94 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F197 10.3811 Tf 9.257 0 Td [(\051)]TJ/F84 9.9626 Tf 4.15 0 Td [(.)]TJ 1.02 0 0 1 124.304 294.637 Tm [(When)]TJ/F78 9.9626 Tf 1 0 0 1 153.769 294.637 Tm [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 1.02 0 0 1 169.747 294.637 Tm [(is)-244(a)-245(rank)-244(2)-245(array)109(,)-244(speci\002es)-245(the)-244(number)-244(of)-245(r)18(ows)-244(to)-245(be)-244(sent)-245(inde-)]TJ 0.98 0 0 1 124.503 282.682 Tm [(pendently)-236(of)-236(the)-236(leading)-236(dimension)]TJ/F78 9.9626 Tf 1 0 0 1 280.369 282.682 Tm [(s)-18(i)-32(z)-25(e)]TJ/F197 10.3811 Tf 15.94 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 0.98 0 0 1 314.077 282.682 Tm [(,)-170(1)]TJ/F197 10.3811 Tf 1 0 0 1 323.185 282.682 Tm [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 327.334 282.682 Tm [(;)-242(must)-236(have)-236(the)-236(same)-236(value)]TJ 1 0 0 1 124.802 270.727 Tm [(on)-250(sending)-250(and)-250(r)18(eceiving)-250(pr)18(ocesses.)]TJ 0 g 0 G /F75 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G @@ -24492,7 +24502,7 @@ ET endstream endobj -1895 0 obj +1896 0 obj << /Length 5630 >> @@ -24510,7 +24520,7 @@ BT /F75 11.9552 Tf 207.803 706.129 Td [(rcv)-250(\227)-250(Receive)-250(data)]TJ 0 g 0 G 0 g 0 G -/F145 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_rcv\050ctxt,)-525(dat,)-525(src,)-525(m\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(r)18(eceives)-250(a)-250(packet)-250(of)-250(data)-250(to)-250(a)-250(destination.)]TJ +/F147 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_rcv\050ctxt,)-525(dat,)-525(src,)-525(m\051)]TJ/F84 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(r)18(eceives)-250(a)-250(packet)-250(of)-250(data)-250(to)-250(a)-250(destination.)]TJ 0 g 0 G /F75 9.9626 Tf -14.944 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G @@ -24525,11 +24535,11 @@ BT 0 g 0 G /F75 9.9626 Tf -24.907 -19.926 Td [(src)]TJ 0 g 0 G -/F84 9.9626 Tf 17.703 0 Td [(Sour)18(ce)-250(pr)18(ocess.)]TJ 7.204 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 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 [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -66.071 -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)-250(0)]TJ/F148 10.3811 Tf 138.85 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(s)-15(r)-17(c)]TJ/F148 10.3811 Tf 15.14 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F190 10.3811 Tf 13.504 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1.)]TJ +/F84 9.9626 Tf 17.703 0 Td [(Sour)18(ce)-250(pr)18(ocess.)]TJ 7.204 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 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 [(required)]TJ/F84 9.9626 Tf 39.292 0 Td [(.)]TJ -66.071 -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)-250(0)]TJ/F152 10.3811 Tf 138.85 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(s)-15(r)-17(c)]TJ/F152 10.3811 Tf 15.14 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F195 10.3811 Tf 13.504 0 Td [(\000)]TJ/F84 9.9626 Tf 10.131 0 Td [(1.)]TJ 0 g 0 G /F75 9.9626 Tf -241.342 -31.881 Td [(m)]TJ 0 g 0 G -/F84 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows.)]TJ 11.069 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 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 40.946 0 Td [(.)]TJ -67.725 -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)-250(0)]TJ/F148 10.3811 Tf 138.85 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(m)]TJ/F148 10.3811 Tf 10.767 0 Td [(<)]TJ/F192 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F192 10.3811 Tf 15.94 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F192 10.3811 Tf 9.257 0 Td [(\051)]TJ/F84 9.9626 Tf 4.149 0 Td [(.)]TJ 1.02 0 0 1 175.113 398.249 Tm [(When)]TJ/F78 9.9626 Tf 1 0 0 1 204.579 398.249 Tm [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 1.02 0 0 1 220.557 398.249 Tm [(is)-244(a)-245(rank)-244(2)-244(array)108(,)-244(speci\002es)-245(the)-244(number)-244(of)-245(r)18(ows)-244(to)-245(be)-244(sent)-244(inde-)]TJ 0.98 0 0 1 175.313 386.293 Tm [(pendently)-236(of)-236(the)-236(leading)-236(dimension)]TJ/F78 9.9626 Tf 1 0 0 1 331.178 386.293 Tm [(s)-18(i)-32(z)-25(e)]TJ/F192 10.3811 Tf 15.94 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 0.98 0 0 1 364.887 386.293 Tm [(,)-170(1)]TJ/F192 10.3811 Tf 1 0 0 1 373.994 386.293 Tm [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 378.144 386.293 Tm [(;)-242(must)-236(have)-236(the)-236(same)-236(value)]TJ 1 0 0 1 175.611 374.338 Tm [(on)-250(sending)-250(and)-250(r)18(eceiving)-250(pr)18(ocesses.)]TJ +/F84 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows.)]TJ 11.069 -11.955 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 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 40.946 0 Td [(.)]TJ -67.725 -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)-250(0)]TJ/F152 10.3811 Tf 138.85 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(m)]TJ/F152 10.3811 Tf 10.767 0 Td [(<)]TJ/F197 10.3811 Tf 8.319 0 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F197 10.3811 Tf 15.94 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F197 10.3811 Tf 9.257 0 Td [(\051)]TJ/F84 9.9626 Tf 4.149 0 Td [(.)]TJ 1.02 0 0 1 175.113 398.249 Tm [(When)]TJ/F78 9.9626 Tf 1 0 0 1 204.579 398.249 Tm [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 1.02 0 0 1 220.557 398.249 Tm [(is)-244(a)-245(rank)-244(2)-244(array)108(,)-244(speci\002es)-245(the)-244(number)-244(of)-245(r)18(ows)-244(to)-245(be)-244(sent)-244(inde-)]TJ 0.98 0 0 1 175.313 386.293 Tm [(pendently)-236(of)-236(the)-236(leading)-236(dimension)]TJ/F78 9.9626 Tf 1 0 0 1 331.178 386.293 Tm [(s)-18(i)-32(z)-25(e)]TJ/F197 10.3811 Tf 15.94 0 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F84 9.9626 Tf 0.98 0 0 1 364.887 386.293 Tm [(,)-170(1)]TJ/F197 10.3811 Tf 1 0 0 1 373.994 386.293 Tm [(\051)]TJ/F84 9.9626 Tf 0.98 0 0 1 378.144 386.293 Tm [(;)-242(must)-236(have)-236(the)-236(same)-236(value)]TJ 1 0 0 1 175.611 374.338 Tm [(on)-250(sending)-250(and)-250(r)18(eceiving)-250(pr)18(ocesses.)]TJ 0 g 0 G /F75 9.9626 Tf -24.906 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G @@ -24548,23 +24558,23 @@ ET endstream endobj -1902 0 obj +1903 0 obj << -/Length 6870 +/Length 6890 >> stream 0 g 0 G 0 g 0 G BT -/F75 14.3462 Tf 99.895 705.784 Td [(8)-1000(Error)-250(handling)]TJ/F84 9.9626 Tf 1.02 0 0 1 99.587 683.082 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 99.616 671.127 Tm [(version)-315(2.0.)-514(The)-314(idea)-315(behind)-315(the)-315(design)-315(of)-315(this)-315(new)-315(err)17(or)-314(handling)-315(strategy)]TJ 1.02 0 0 1 99.895 659.172 Tm [(is)-261(to)-260(keep)-261(err)17(or)-260(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 99.596 647.217 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 99.895 635.261 Tm [(PSBLAS-2.0)-245(library)-245(has,)-247(as)-245(last)-245(non-optional)-245(ar)18(gument,)-247(an)-245(integer)]TJ/F145 9.9626 Tf 1 0 0 1 384.203 635.261 Tm [(info)]TJ/F84 9.9626 Tf 0.98 0 0 1 407.517 635.261 Tm [(variable;)]TJ 1 0 0 1 99.477 623.306 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 99.895 611.351 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 99.895 599.396 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 99.895 587.441 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)-250(the)]TJ 0.98 0 0 1 99.895 575.486 Tm [(execution)-218(is)-218(aborted,)-226(an)-218(err)18(or)-218(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 99.895 563.53 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 99.895 551.575 Tm [(the)-256(caller)-256(r)18(outine)-256(checks)-256(the)-256(value)-256(r)18(eturned)-256(in)-256(the)]TJ/F145 9.9626 Tf 1 0 0 1 316.265 551.575 Tm [(info)]TJ/F84 9.9626 Tf 0.98 0 0 1 339.687 551.575 Tm [(variable)-256(and,)-256(if)-257(not)-256(zer)19(o,)]TJ 1.02 0 0 1 99.895 539.62 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)-248(o)1(f)-248(nested)]TJ 1 0 0 1 99.895 527.665 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 1 114.839 515.71 Tm [(Figur)18(e)]TJ +/F75 14.3462 Tf 99.895 705.784 Td [(8)-1000(Error)-250(handling)]TJ/F84 9.9626 Tf 0.996 0 0 1 99.587 683.082 Tm [(The)-250(PSBLAS)-251(library)-250(err)18(or)-251(handli)1(ng)-251(policy)-250(has)-251(been)-250(de\002ned)-251(at)-250(the)-250(time)-251(version)]TJ 0.98 0 0 1 99.895 671.127 Tm [(2.0)-240(was)-240(written.)-311(The)-240(idea)-240(behind)-240(the)-240(design)-240(of)-240(err)18(or)-240(handling)-240(strategy)-240(is)-240(to)-240(keep)]TJ 0.99 0 0 1 99.895 659.172 Tm [(err)18(or)-253(messages)-254(on)-253(a)-254(stack)-253(allowing)-254(the)-253(user)-254(to)-253(trace)-254(back)-253(up)-253(to)-254(the)-253(point)-254(wher)18(e)]TJ 0.983 0 0 1 99.895 647.217 Tm [(the)-253(\002rst)-254(err)19(or)-254(message)-253(has)-254(been)-253(generated.)-315(Every)-253(r)18(outine)-253(in)-254(the)-253(PSBLAS)-254(lib)1(rary)]TJ 1.005 0 0 1 99.895 635.261 Tm [(has,)-247(as)-248(last)-247(non-optional)-247(ar)18(gument,)-247(an)-247(integer)]TJ/F147 9.9626 Tf 1 0 0 1 304.383 635.261 Tm [(info)]TJ/F84 9.9626 Tf 1.005 0 0 1 327.779 635.261 Tm [(variable;)-248(whenever)74(,)-247(inside)]TJ 0.997 0 0 1 99.895 623.306 Tm [(the)-251(r)18(outine,)-251(an)-251(err)18(or)-250(is)-251(detected,)-251(this)-251(variable)-251(is)-251(set)-251(to)-250(a)-251(value)-251(corr)18(esponding)-251(to)]TJ 0.994 0 0 1 99.895 611.351 Tm [(a)-251(speci\002c)-250(err)18(or)-251(code.)-312(Then)-250(this)-251(err)18(or)-251(code)-250(is)-251(also)-251(pushed)-251(on)-250(the)-251(err)18(or)-251(stack)-250(and)]TJ 1.011 0 0 1 99.895 599.396 Tm [(then)-247(either)-248(contr)18(ol)-247(is)-248(r)18(eturned)-247(to)-248(the)-247(caller)-247(r)17(outine)-247(or)-247(the)-248(execution)-247(is)-247(aborted,)]TJ 1.015 0 0 1 99.895 587.441 Tm [(depending)-247(on)-246(the)-247(users)-246(choice.)-307(At)-246(the)-247(time)-246(when)-247(the)-247(execu)1(tion)-247(is)-247(aborted,)-246(an)]TJ 0.98 0 0 1 99.895 575.486 Tm [(err)18(or)-214(message)-215(is)-214(printed)-215(on)-215(standar)19(d)-215(output)-214(with)-215(a)-214(level)-215(of)-215(verbosit)1(y)-215(than)-215(can)-214(be)]TJ 0.98 0 0 1 99.895 563.53 Tm [(chosen)-228(by)-229(t)1(he)-229(user)76(.)-308(If)-228(the)-228(execution)-228(is)-229(not)-228(aborted,)-233(then,)-234(the)-228(caller)-228(r)18(outine)-228(checks)]TJ 1.02 0 0 1 99.895 551.575 Tm [(the)-276(v)1(alue)-276(r)18(eturned)-276(in)-275(the)]TJ/F147 9.9626 Tf 1 0 0 1 214.874 551.575 Tm [(info)]TJ/F84 9.9626 Tf 1.02 0 0 1 238.594 551.575 Tm [(variable)-275(and,)-284(if)-275(not)-276(zer)18(o,)-283(an)-275(err)17(or)-275(condition)-276(is)]TJ 1.02 0 0 1 99.895 539.62 Tm [(raised.)-445(This)-292(pr)17(oce)1(ss)-293(continues)-292(on)-292(all)-292(the)-292(levels)-292(of)-292(nested)-292(calls)-293(unt)1(il)-293(the)-292(level)]TJ 1 0 0 1 99.477 527.665 Tm [(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 1 114.839 515.71 Tm [(Figur)18(e)]TJ 0 0 1 rg 0 0 1 RG [-246(5)]TJ 0 g 0 G - [-246(shows)-245(the)-246(layout)-246(of)-245(a)-246(generic)]TJ/F145 9.9626 Tf 1 0 0 1 286.762 515.71 Tm [(psb_foo)]TJ/F84 9.9626 Tf 1.018 0 0 1 325.866 515.71 Tm [(r)18(outine)-246(with)-246(r)18(espect)-246(to)-245(the)]TJ 1.004 0 0 1 99.895 503.755 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 99.895 491.799 Tm 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Tf 425.664 578.396 Td [(vect)]TJ +/F147 9.9626 Tf 425.664 578.396 Td [(vect)]TJ ET q 1 0 0 1 447.213 578.595 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 450.351 578.396 Td [(type)]TJ +/F147 9.9626 Tf 450.351 578.396 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 0.98 0 0 1 471.273 578.396 Tm [(,)]TJ 1 0 0 1 124.802 566.441 Tm [(of)-250(type)-250(r)18(eal)-250(or)-250(complex;)-250(its)-250(contents)-250(will)-250(be)-250(written)-250(to)-250(disk.)]TJ 0 g 0 G @@ -26474,11 +26484,11 @@ BT 0 g 0 G /F75 9.9626 Tf -43.965 -31.448 Td [(vtitle)]TJ 0 g 0 G -/F84 9.9626 Tf 28.772 0 Td [(Matrix)-250(title.)]TJ -4.174 -11.955 Td [(T)90(ype:)]TJ/F75 9.9626 Tf 27.088 0 Td [(required)]TJ/F84 9.9626 Tf 0.98 0 0 1 124.413 479.635 Tm [(A)-214(charachter)-213(variable)-214(holding)-213(a)-214(descriptive)-214(t)1(itle)-214(for)-214(the)-213(vector)-214(to)-213(be)-214(written)]TJ 1 0 0 1 124.802 467.68 Tm [(to)-250(\002le.)-310(T)90(ype:)]TJ/F75 9.9626 Tf 54.455 0 Td [(optional)]TJ/F84 9.9626 Tf 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[(call)-525(prec%init\050icontxt,ptype,)-525(info\051)]TJ +/F147 9.9626 Tf 0 -18.964 Td [(call)-525(prec%init\050icontxt,ptype,)-525(info\051)]TJ 0 g 0 G /F75 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -26670,21 +26680,21 @@ BT 0 g 0 G /F84 9.9626 Tf 24.349 0 Td [(Scope:)]TJ/F75 9.9626 Tf 31.431 0 Td [(local)]TJ/F84 9.9626 Tf -31.182 -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 -56.148 -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 -/F145 9.9626 Tf 196.51 0 Td [(psb)]TJ +/F147 9.9626 Tf 196.51 0 Td [(psb)]TJ ET q 1 0 0 1 388.441 446.268 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 391.579 446.069 Td [(Tprec)]TJ +/F147 9.9626 Tf 391.579 446.069 Td [(Tprec)]TJ ET q 1 0 0 1 418.358 446.268 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 421.497 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671.127 Tm [(The)-194(interfaces)-194(for)-194(it)1(erative)-194(methods)-194(ar)18(e)-194(available)-194(in)-193(the)-194(module)]TJ/F145 9.9626 Tf 1 0 0 1 369.457 671.127 Tm [(psb_linsolve_mod)]TJ/F84 9.9626 Tf 0.98 0 0 1 453.142 671.127 Tm [(.)]TJ +/F75 14.3462 Tf 99.895 705.784 Td [(11)-1000(Iterative)-250(Methods)]TJ/F84 9.9626 Tf 1.006 0 0 1 99.895 683.082 Tm [(In)-249(this)-250(chapter)-249(we)-250(pr)18(ovide)-249(r)18(outines)-250(for)-249(pr)18(econditioners)-250(and)-249(iterative)-249(methods.)]TJ 0.98 0 0 1 99.587 671.127 Tm [(The)-194(interfaces)-194(for)-194(it)1(erative)-194(methods)-194(ar)18(e)-194(available)-194(in)-193(the)-194(module)]TJ/F147 9.9626 Tf 1 0 0 1 369.457 671.127 Tm [(psb_linsolve_mod)]TJ/F84 9.9626 Tf 0.98 0 0 1 453.142 671.127 Tm [(.)]TJ 0 g 0 G 1 0 0 1 264.279 90.438 Tm [(163)]TJ 0 g 0 G @@ -28776,7 +28786,7 @@ ET endstream endobj -2078 0 obj +2079 0 obj << /Length 8466 >> @@ -28795,36 +28805,36 @@ BT 0 g 0 G /F75 9.9626 Tf -14.944 -18.774 Td 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[(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 -26.865 Td [(e)-15(r)-25(r)]TJ/F197 10.3811 Tf 15.141 0 Td [(=)]TJ/F195 10.3811 Tf 15.169 6.745 Td [(k)]TJ/F78 9.9626 Tf 5.34 0 Td [(r)]TJ/F78 7.5716 Tf 4.042 -1.96 Td [(i)]TJ/F195 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q 1 0 0 1 322.451 506.622 cm []0 d 0 J 0.398 w 0 0 m 23.472 0 l S Q BT -/F190 10.3811 Tf 322.575 497.297 Td [(k)]TJ/F78 9.9626 Tf 5.34 0 Td [(r)]TJ/F84 7.5716 Tf 4 -1.744 Td [(0)]TJ/F190 10.3811 Tf 4.409 1.744 Td [(k)]TJ/F84 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F148 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F78 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ/F84 9.9626 Tf 1.02 0 0 1 150.396 474.283 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 1 150.705 462.327 Tm [(formulae,)]TJ/F78 9.9626 Tf 1 0 0 1 194.836 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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 +/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 -19.162 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 111.755 -23.373 Td [(x)]TJ/F78 7.5716 Tf 5.2 -2.085 Td [(k)]TJ/F197 7.8896 Tf 3.589 0 Td [(+)]TJ/F84 7.5716 Tf 6.228 0 Td [(1)]TJ/F197 10.3811 Tf 7.176 2.085 Td [(=)]TJ/F78 9.9626 Tf 11.534 0 Td [(M)]TJ/F195 7.8896 Tf 9.674 4.115 Td [(\000)]TJ/F84 7.5716 Tf 6.227 0 Td [(1)]TJ/F197 10.3811 Tf 4.409 -4.115 Td [(\050)]TJ/F78 9.9626 Tf 4.274 0 Td [(b)]TJ/F195 10.3811 Tf 6.798 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/F197 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 -230.486 -22.122 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(section)]TJ +0 0 1 rg 0 0 1 RG + [-250(10)]TJ +0 g 0 G + [(.)]TJ -144.307 -12.058 Td [(The)-250(stopping)-250(criterion)-250(can)-250(take)-250(the)-250(following)-250(values:)]TJ 0 g 0 G -/F75 9.9626 Tf -14.944 -20.304 Td [(1)]TJ +/F75 9.9626 Tf -14.944 -20.232 Td [(1)]TJ 0 g 0 G -/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/F192 10.3811 Tf 15.14 0 Td [(=)]TJ/F190 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/F190 10.3811 Tf 2.875 1.96 Td [(k)]TJ +/F84 9.9626 Tf 0.99 0 0 1 109.858 609.182 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 1 218.894 580.673 Tm [(e)-15(r)-25(r)]TJ/F197 10.3811 Tf 15.14 0 Td [(=)]TJ/F195 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/F195 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q -1 0 0 1 246.191 584.127 cm +1 0 0 1 246.191 583.164 cm []0 d 0 J 0.398 w 0 0 m 74.372 0 l S Q BT -/F192 10.3811 Tf 246.316 574.802 Td [(\050)]TJ/F190 10.3811 Tf 4.274 0 Td [(k)]TJ/F78 9.9626 Tf 5.938 0 Td [(A)]TJ/F190 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/F190 10.3811 Tf 2.876 1.96 Td [(k)]TJ/F192 10.3811 Tf 7.376 0 Td [(+)]TJ/F190 10.3811 Tf 10.256 0 Td [(k)]TJ/F78 9.9626 Tf 5.44 0 Td [(b)]TJ/F190 10.3811 Tf 4.861 0 Td [(k)]TJ/F192 10.3811 Tf 5.44 0 Td [(\051)]TJ/F148 10.3811 Tf 8.236 6.834 Td [(<)]TJ/F78 9.9626 Tf 11.087 0 Td [(e)-80(p)-25(s)]TJ +/F197 10.3811 Tf 246.316 573.839 Td [(\050)]TJ/F195 10.3811 Tf 4.274 0 Td [(k)]TJ/F78 9.9626 Tf 5.938 0 Td [(A)]TJ/F195 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/F195 10.3811 Tf 2.876 1.96 Td [(k)]TJ/F197 10.3811 Tf 7.376 0 Td [(+)]TJ/F195 10.3811 Tf 10.256 0 Td [(k)]TJ/F78 9.9626 Tf 5.44 0 Td [(b)]TJ/F195 10.3811 Tf 4.861 0 Td [(k)]TJ/F197 10.3811 Tf 5.44 0 Td [(\051)]TJ/F152 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 -/F75 9.9626 Tf -235.842 -32.142 Td [(2)]TJ +/F75 9.9626 Tf -235.842 -32.045 Td [(2)]TJ 0 g 0 G -/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/F192 10.3811 Tf 15.141 0 Td [(=)]TJ/F190 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/F190 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 -28.509 Td [(e)-15(r)-25(r)]TJ/F197 10.3811 Tf 15.141 0 Td [(=)]TJ/F195 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/F195 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q -1 0 0 1 273.365 523.428 cm +1 0 0 1 273.365 522.61 cm []0 d 0 J 0.398 w 0 0 m 20.025 0 l S Q BT -/F190 10.3811 Tf 273.49 514.103 Td [(k)]TJ/F78 9.9626 Tf 5.439 0 Td [(b)]TJ/F190 10.3811 Tf 4.862 0 Td [(k)]TJ/F84 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F148 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F78 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ +/F195 10.3811 Tf 273.49 513.285 Td [(k)]TJ/F78 9.9626 Tf 5.439 0 Td [(b)]TJ/F195 10.3811 Tf 4.862 0 Td [(k)]TJ/F84 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F152 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 -/F75 9.9626 Tf -208.668 -32.082 Td [(3)]TJ +/F75 9.9626 Tf -208.668 -31.986 Td [(3)]TJ 0 g 0 G -/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/F192 10.3811 Tf 15.14 0 Td [(=)]TJ/F190 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/F190 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 -28.508 Td [(e)-15(r)-25(r)]TJ/F197 10.3811 Tf 15.14 0 Td [(=)]TJ/F195 10.3811 Tf 15.17 6.745 Td [(k)]TJ/F78 9.9626 Tf 5.34 0 Td [(r)]TJ/F78 7.5716 Tf 4.041 -1.961 Td [(i)]TJ/F195 10.3811 Tf 2.875 1.961 Td [(k)]TJ ET q -1 0 0 1 271.641 462.789 cm +1 0 0 1 271.641 462.115 cm []0 d 0 J 0.398 w 0 0 m 23.472 0 l S Q BT -/F190 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/F190 10.3811 Tf 4.408 1.744 Td [(k)]TJ/F84 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F148 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/F192 10.3811 Tf 5.643 1.96 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(b)]TJ/F190 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 +/F195 10.3811 Tf 271.766 452.79 Td [(k)]TJ/F78 9.9626 Tf 5.34 0 Td [(r)]TJ/F84 7.5716 Tf 4 -1.744 Td [(0)]TJ/F195 10.3811 Tf 4.408 1.744 Td [(k)]TJ/F84 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F152 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 99.587 427.639 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 99.895 415.684 Tm [(formulae,)]TJ/F78 9.9626 Tf 1 0 0 1 144.027 415.684 Tm [(x)]TJ/F78 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F84 9.9626 Tf 0.98 0 0 1 153.866 415.684 Tm [(is)-199(the)-199(tentat)1(ive)-199(solution)-199(and)]TJ/F78 9.9626 Tf 1 0 0 1 273.705 415.684 Tm [(r)]TJ/F78 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F197 10.3811 Tf 5.643 1.96 Td [(=)]TJ/F78 9.9626 Tf 11.086 0 Td [(b)]TJ/F195 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 1 328.46 415.684 Tm [(the)-199(corr)19(esponding)-199(r)18(esidual)]TJ 1 0 0 1 99.895 403.729 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 -18.138 Td [(c)-175(a)-175(l)-174(l)-888(p)-113(s)-113(b)]TJ ET q -1 0 0 1 150.598 386.32 cm +1 0 0 1 150.598 385.79 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/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 +/F84 9.9626 Tf 154.71 385.591 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 1 334.087 386.32 cm +1 0 0 1 334.087 385.79 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/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 +/F84 9.9626 Tf 338.05 385.591 Td [(a)-370(,)-283(i)-108(n)-109(f)-108(o)-273(,)-57(&)]TJ -209.153 -11.955 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 -/F75 9.9626 Tf -29.002 -28.653 Td [(T)90(ype:)]TJ +/F75 9.9626 Tf -29.002 -28.51 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 -20.431 Td [(On)-250(Entry)]TJ +/F75 9.9626 Tf -29.828 -20.334 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -20.431 Td [(a)]TJ + 0 -20.335 Td [(a)]TJ 0 g 0 G -/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 +/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 -11.955 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 -41.205 -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 -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 309.258 257.028 cm +1 0 0 1 309.258 256.836 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 312.397 256.829 Td [(Tspmat)]TJ +/F147 9.9626 Tf 312.397 256.636 Td [(Tspmat)]TJ ET q -1 0 0 1 344.406 257.028 cm +1 0 0 1 344.406 256.836 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 347.544 256.829 Td [(type)]TJ +/F147 9.9626 Tf 347.544 256.636 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F75 9.9626 Tf -268.571 -20.431 Td [(prec)]TJ +/F75 9.9626 Tf -268.571 -20.334 Td [(prec)]TJ 0 g 0 G -/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 +/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 -11.956 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(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F145 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F147 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 309.258 188.777 cm +1 0 0 1 309.258 188.68 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 312.397 188.577 Td [(Tprec)]TJ +/F147 9.9626 Tf 312.397 188.481 Td [(Tprec)]TJ ET q -1 0 0 1 339.176 188.777 cm +1 0 0 1 339.176 188.68 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F145 9.9626 Tf 342.314 188.577 Td [(type)]TJ +/F147 9.9626 Tf 342.314 188.481 Td [(type)]TJ 0 g 0 G /F84 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F75 9.9626 Tf -263.34 -20.431 Td [(b)]TJ +/F75 9.9626 Tf -263.34 -20.335 Td [(b)]TJ 0 g 0 G /F84 9.9626 Tf 10.76 0 Td [(The)-250(RHS)-250(vector)74(.)]TJ 14.147 -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 -41.205 -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 -/F145 9.9626 Tf 218.688 0 Td [(psb)]TJ +/F147 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q 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 -/F145 9.9626 Tf 362.947 120.326 Td [(T)]TJ +/F147 9.9626 Tf 362.947 120.326 Td [(T)]TJ ET q 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 -/F145 9.9626 Tf 371.943 120.326 Td [(vect)]TJ +/F147 9.9626 Tf 371.943 120.326 Td [(vect)]TJ 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G@ GA GB GC GD GE GF GG GH GI GJ GK GL GM GN GO GP GQ GR GS GT GU GV GW GX GY GZ G[ G\ G] G^ G_ G` Ga Gb Gc +   ++ endstream endobj startxref -2854025 +2855909 %%EOF diff --git a/docs/src/datastruct.tex b/docs/src/datastruct.tex index 65481912..936ac43d 100644 --- a/docs/src/datastruct.tex +++ b/docs/src/datastruct.tex @@ -26,7 +26,7 @@ defined in the library as follows: \item[psb\_mpk\_] Kind parameter for 4-bytes integer data, as is always used by MPI; \item[psb\_epk\_] Kind parameter for 8-bytes integer data, as is - always used by the \fortinline|sizeof| methods; + always returned by the \fortinline|sizeof| methods; \item[psb\_ipk\_] Kind parameter for ``local'' integer indices and data; with default build options this is a 4 bytes integer; \item[psb\_lpk\_] Kind parameter for ``global'' integer indices and data; @@ -47,9 +47,9 @@ developer's documentation. \subsection{Descriptor data structure} \label{sec:desc} -All the general matrix informations and elements to be -exchanged among processes are stored within a data structure of the -type \hypertarget{descdata}{{\tt psb\_desc\_type}}. +All the general matrix information and the identification of elements +to be exchanged among processes are stored within a data structure of +the type \hypertarget{descdata}{{\tt 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 interest to us. diff --git a/docs/src/error.tex b/docs/src/error.tex index 07d009d8..68f16fe4 100644 --- a/docs/src/error.tex +++ b/docs/src/error.tex @@ -2,11 +2,11 @@ \section{Error handling\label{sec:errors}} -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 +The PSBLAS library error handling policy has been defined at the time +version 2.0 was written. The idea behind the design of 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 library has, as last non-optional argument, an integer \verb|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 @@ -21,7 +21,7 @@ levels of nested calls until the level where the user decides to abort the program execution. Figure~\ref{fig:routerr} shows the layout of a generic \verb|psb_foo| -routine with respect to the PSBLAS-2.0 error handling policy. It is +routine with respect to the PSBLAS error handling policy. It is possible to see how, whenever an error condition is detected, the \verb|info| variable is set to the corresponding error code which is, then, pushed on top of the stack by means of the @@ -110,7 +110,7 @@ end subroutine psb_foo Figure~\ref{fig:errormsg} reports a sample error message generated by -the PSBLAS-2.0 library. This error has been generated by the fact that +the PSBLAS library. This error has been generated by the fact that the user has chosen the invalid ``FOO'' storage format to represent the sparse matrix. From this error message it is possible to see that the error has been detected inside the \verb|psb_cest| subroutine @@ -161,7 +161,7 @@ Aborting... \fbox{\TheSbox} \end{center} \fi - \caption{\label{fig:errormsg}A sample PSBLAS-3.0 error + \caption{\label{fig:errormsg}A sample PSBLAS error message. 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project is lead by Salvatore Filippone; a number of people have been contributing to this package over the -years; contributors in roughly reverse chronological order: +The project is lead by Salvatore Filippone; a number of people have +been contributing to this package over the years; contributors in +roughly reverse chronological order: \begin{obeylines} Luca Pepè Sciarria Theophane Loloum @@ -81,18 +82,19 @@ works discussing advanced programming in Fortran~2008 include~\cite{DesPat:11,RouXiaXu:11}; sufficient support for Fortran~2008 is now available from many compilers, including recent versions of the GNU Fortran compiler from the Free Software -Foundation, and the FLANG compiler from the LLVM project. +Foundation, the FLANG compiler from the LLVM project, and the Intel +OneAPI compiler. +The README file contains a list of compilers against which we have +successfully tested the current release. 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.~\cite{machiels}. 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 that are quite difficult or even impossible to predict at -implementation or compilation time. +e.g.~\cite{machiels}. The Fortran~95 facilities for dynamic +memory management and interface overloading ensure that the library +can take care of runtime memory requirements that are quite difficult +or even impossible to predict at implementation or compilation time. The presentation of the PSBLAS library follows the general structure of the proposal for @@ -101,13 +103,13 @@ proposal for BLAS on dense matrices~\cite{BLAS1,BLAS2,BLAS3}. 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. +denoted by different names depending on the application area. The +PSBLAS features presented in this document will be discussed taking as +a reference a finite difference discretization of a Partial +Differential Equation (PDE). However, the scope of the library is +wider than that: it can be applied to finite element and other +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 @@ -145,7 +147,7 @@ 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 applicaiton layer that has been strongly inspired by the Basic +in an application layer that has been strongly inspired by the Basic Linear Algebra Communication Subroutines (BLACS) library~\cite{BLACS}. Usually there is no need to deal directly with MPI; however, in some cases, MPI routines are used directly to improve efficiency. For @@ -184,10 +186,9 @@ the variable associated to each mesh point is assigned to a 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 {\em -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. +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 %commonly used in ScaLAPACK such as \verb|CYCLIC(N)| and \verb|BLOCK|, @@ -201,8 +202,8 @@ matrices, that is, the entries of a vector follow the same distribution of the matrix rows. We assume that the sparse matrix is built in parallel, where each -process generates its own portion. We never require that the entire -matrix be available on a single node. However, it is possible +process generates its own portion: we never \emph{require} that the +entire matrix be available on a single node. However, it is possible to hold the entire matrix in one process and distribute it explicitly\footnote{In our prototype implementation we provide sample scatter/gather routines.}, even though the resulting memory @@ -227,33 +228,31 @@ assigned to the parallel processes, we classify the points of a given sub-domain as following. \begin{description} \item[Internal.] An internal point of - a given domain {\em 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 associated with the internal points requires no data -items from other domains and no communications. - -\item[Boundary.] A point of -a given domain is a boundary point if it {\em depends} on points -belonging to other domains. - -\item[Halo.] A halo point for a given domain is a point belonging to -another domain such that there is a boundary point which {\em depends\/} + a given sub-domain {\em depends} only on points of the +same sub-domain. +If all points of a sub-domain are assigned to one +process, then a computational step (e.g., a matrix-vector product) of +the equations associated with the internal points requires no data +items from other sub-domains and no communications. + +\item[Boundary.] A point of a given sub-domain is a boundary point if + it {\em depends} on points belonging to other sub-domains. + +\item[Halo.] A halo point for a given sub-domain is a point belonging to +another sub-domain such that there is a boundary point which {\em 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 domain\footnote{This is +requested from other sub-domains. A boundary point of a given +sub-domain is usually a halo point for some other sub-domain\footnote{This is the normal situation when the pattern of the sparse matrix is symmetric, which is equivalent to say that the interaction between two variables is reciprocal. If the matrix pattern is non-symmetric we may have one-way interactions, and these could cause a situation in which a boundary point is not a halo point for its neighbour.}; therefore the cardinality of the boundary points set determines the amount of data - sent to other domains. + sent to other sub-domains. \item[Overlap.] An overlap point is a boundary point assigned to -multiple domains. Any operation that involves an overlap point +multiple sub-domains. Any operation that involves an overlap point has to be replicated for each assignment. \end{description} Overlap points do not usually exist in the basic data @@ -378,7 +377,7 @@ $1\dots n_{\hbox{row}_i}$, each element of which corresponds to a certain element of $1\dots n$. The user does not set explicitly this mapping; when the application needs to indicate to which element of the index 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 +matrix coefficient, it usually does so in the ``global'' numbering, and the library will translate into the appropriate ``local'' numbering. For a given index space $1\dots n$ there are many possible associated @@ -390,7 +389,7 @@ with a call to \verb|psb_cdasb| and a sparse matrix with a call to \verb|psb_spasb|. After \verb|psb_cdasb| each process $i$ will have defined a set of ``halo'' (or ``ghost'') indices $n_{\hbox{row}_i}+1\dots n_{\hbox{col}_i}$, denoting elements of the index -space that are \emph{not} assigned to process $i$; however the +space that are \emph{not} assigned to process $i$; the variables associated with them are needed to complete computations associated with the sparse matrix $A$, and thus they have to be fetched from (neighbouring) processes. The descriptor of the index @@ -521,7 +520,7 @@ 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 +However there are cases where no synchronization, and indeed no communication among processes, is implied; for instance, all the routines in sec.~\ref{sec:datastruct} are only acting on the local data structures, and thus may be called independently. The most important case is that diff --git a/docs/src/methods.tex b/docs/src/methods.tex index 55b7b4e0..8acac910 100644 --- a/docs/src/methods.tex +++ b/docs/src/methods.tex @@ -156,8 +156,8 @@ An integer value; 0 means no error has been detected. Richardson Iteration Driver Routine} This subroutine is a driver implementig a Richardson iteration -\[ x_{k+1} = M^-1 (b-Ax_k) +x_k,\] -with the preconditioner operator $M$ defined in the previous section. +\[ x_{k+1} = M^{-1} (b-Ax_k) +x_k,\] +with the preconditioner operator $M$ defined in section~\ref{sec:precs}. The stopping criterion can take the following values: \begin{description} diff --git a/docs/src/penv.tex b/docs/src/penv.tex index 31c2fc2e..018a748b 100644 --- a/docs/src/penv.tex +++ b/docs/src/penv.tex @@ -94,12 +94,12 @@ Specified as: an integer variable. Scope: {\bf local}.\\ Type: {\bf required}.\\ Intent: {\bf out}.\\ -Specified as: an integer value. $-1 \le iam \le np-1$\ +Returned as: an integer value. $-1 \le iam \le np-1$\ \item[np] Number of processes in the PSBLAS virtual parallel machine.\\ Scope: {\bf global}.\\ Type: {\bf required}.\\ Intent: {\bf out}.\\ -Specified as: an integer variable. \ +Returned as: an integer variable. \ \end{description} @@ -153,8 +153,9 @@ Specified as: a logical variable, default value: true. same program, or to enter and exit multiple times into the parallel environment, this routine may be called to selectively close the contexts with \verb|close=.false.|, while on - the last call it should be called with \verb|close=.true.| to - shutdown in a clean way the entire parallel environment. + the last instance it should close in a clean way the entire + parallel environment with \verb|close=.true.| + \end{enumerate} diff --git a/docs/src/psbrout.tex b/docs/src/psbrout.tex index 7877f689..51675938 100644 --- a/docs/src/psbrout.tex +++ b/docs/src/psbrout.tex @@ -1246,7 +1246,7 @@ An integer value; 0 means no error has been detected. This function computes the entrywise product between two vectors $x$ and $y$ -\[dot \leftarrow x(i) y(i).\] +\[y(i) \leftarrow x(i) y(i).\] \fortinline|psb_gemlt(x, y, desc_a, info)| @@ -1313,7 +1313,7 @@ $y$ This function computes the entrywise division between two vectors $x$ and $y$ -\[/ \leftarrow x(i)/y(i).\] +\[y(i) \leftarrow x(i)/y(i).\] \fortinline|psb_gediv(x, y, desc_a, info, [flag)| @@ -1385,7 +1385,7 @@ $y$ This function computes the entrywise inverse of a vector $x$ and puts it into $y$ -\[/ \leftarrow 1/x(i).\] +\[y(i) \leftarrow 1/x(i).\] \fortinline|psb_geinv(x, y, desc_a, info, [flag)| diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex index d43af726..73914249 100644 --- a/docs/src/toolsrout.tex +++ b/docs/src/toolsrout.tex @@ -598,7 +598,7 @@ An integer value; 0 means no error has been detected. state. \item The descriptor may be in either the build or assembled state. \item Providing a good estimate for the number of nonzeroes $nnz$ in - the assembled matrix may substantially improve performance in the + the assembled matrix may improve performance in the matrix build phase, as it will reduce or eliminate the need for (potentially multiple) data reallocations; \item Using \verb|psb_matbld_remote_| is likely to cause a runtime overhead at @@ -722,7 +722,7 @@ An integer value; 0 means no error has been detected. entirety to a single call to this routine: the buildup of a row may be split into as many calls as desired (even in the CSR format); \item Coefficients from different rows may also be mixed up freely - in a single call, according to the application needs; + in a single call (in COO format), according to the application needs; \item Coefficients from matrix rows not owned by the calling process are treated according to the value of \verb|bldmode| specified at allocation time; if @@ -1246,7 +1246,7 @@ An integer value; 0 means no error has been detected. %% psb_glob_to_loc %% % \clearpage\subsection{psb\_glob\_to\_loc --- Global to local indices - convertion} + conversion} %\addcontentsline{toc}{subsection}{psb\_glob\_to\_loc} \begin{verbatim} @@ -1261,7 +1261,7 @@ call psb_glob_to_loc(x, desc_a, info, iact,owned) Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in, inout}.\\ -Specified as: a rank one integer array.\\ +Specified as: a rank one integer array of global indices, i.e. \verb|psb_lpk_|.\\ \item[desc\_a] the communication descriptor.\\ Scope:{\bf local}.\\ Type:{\bf required}.\\ @@ -1292,7 +1292,7 @@ Intent: {\bf inout}.\\ Specified as: a rank one integer array. \item[y] If $y$ is present, then $y$ is overwritten with the translated integer indices, and $x$ - is left unchanged. + is left unchanged; since $y$ contains local indices it should use \verb|psb_ipk_|. Scope: {\bf global} \\ Type: {\bf optional}\\ Intent: {\bf out}.\\ @@ -1325,7 +1325,8 @@ call psb_loc_to_glob(x, desc_a, info, iact) \begin{description} \item[Type:] Asynchronous. \item[\bf On Entry] -\item[x] An integer vector of indices to be converted.\\ +\item[x] An integer vector of indices to be converted; if $y$ is present, + they are local indices, i.e. \verb|psb_ipk_| \\ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in, inout}.\\ @@ -1346,14 +1347,14 @@ Specified as: a character variable \verb|I|gnore, \verb|W|arning or \begin{description} \item[\bf On Return] \item[x] If $y$ is not present, - then $x$ is overwritten with the translated integer indices. + then $x$ is overwritten with the translated integer global indices, i.e. \verb|psb_lpk_| Scope: {\bf global} \\ Type: {\bf required}\\ Intent: {\bf inout}.\\ Specified as: a rank one integer array. -\item[y] If $y$ is not present, - then $y$ is overwritten with the translated integer indices, and $x$ - is left unchanged. +\item[y] If $y$ not present, + then $y$ is overwritten with the translated global + indices i.e. \verb|psb_lpk_|, and $x$ is left unchanged. Scope: {\bf global} \\ Type: {\bf optional}\\ Intent: {\bf out}.\\ @@ -1773,7 +1774,7 @@ Specified as: a preconditioner data structure \precdata. \item[Function value] The memory occupation of the object specified in the calling sequence, in bytes.\\ Scope: {\bf local} \\ -Returned as: an \verb|integer(psb_long_int_k_)| number. +Returned as: an \verb|integer(psb_lpk_)| number. \end{description} @@ -1873,9 +1874,10 @@ the (sorted) value of $x$ in the original sequence. $O(n^2)$; of the other three, in the average case quicksort will be the fastest and merge-sort the slowest. However note that: \begin{enumerate} - \item The the best case running time for insertion sort is $\Omega(n)$ while the average - and worst case are $O(n^2)$; however for very short input sequences this is - likely to be the fastest method; + \item The best case running time for insertion sort is $\Omega(n)$ + while the average and worst case are $O(n^2)$; moreover, for + very short input sequences this is likely to be the fastest + method; \item The worst case running time for quicksort is $O(n^2)$; the algorithm implemented here follows the well-known median-of-three heuristics, but the worst case may still apply; @@ -1885,8 +1887,8 @@ the (sorted) value of $x$ in the original sequence. 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. + merge-sort is the preferred choice when a sorting routine is needed + for preprocessing matrix data. \end{enumerate} \end{enumerate} diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex index 2b1e89f3..d41864b8 100644 --- a/docs/src/userguide.tex +++ b/docs/src/userguide.tex @@ -136,7 +136,7 @@ by Salvatore Filippone\\ Alfredo Buttari \\ Fabio Durastante}\\ -June 9th, 2025 +December 23rd, 2025 \end{minipage}} } %\addtolength{\textwidth}{\centeroffset} diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex index 2ac85f59..e51acae6 100644 --- a/docs/src/userhtml.tex +++ b/docs/src/userhtml.tex @@ -106,7 +106,7 @@ Fabio Durastante } \\ %\today Software version: 3.9.0\\ %\today -June 9th, 2025 +December 23rd, 2025 \cleardoublepage \begingroup \renewcommand*{\thepage}{toc}