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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 3.2 Final//FR"><!-- Converted with LaTeX2HTML 95.1 (Fri Jan 20 1995) --><!-- by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds --><!-- Modified Simulog 03/97 --><HTML><HEAD><TITLE>1.2 The modules</TITLE><LINK REL=STYLESHEET TYPE="text/css"	HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="1.2 The modules"><meta name="keywords" value="Guide5"><meta name="resource-type" value="document"><meta name="distribution" value="global"></HEAD><BODY BGCOLOR="#FFFFFF"><P> <IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM	ALT="Modulef"><A NAME=tex2html471 HREF="node13.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html477 HREF="node12.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html479 HREF="node15.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html481 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A HREF="../Guide5-18/node14.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide5-14/node14.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide5-10/node14.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html480 HREF="node15.html">1.3 The algorithms</A><B>Up: </B> <A NAME=tex2html478 HREF="node12.html">1 Direct methods</A><B> Prev: </B> <A NAME=tex2html472 HREF="node13.html">1.1 Introduction</A><B><A HREF="node2.html"	>Contents</A></B><HR SIZE=3 WIDTH="75&#37;"><H1><A NAME=SECTION04120000000000000000>1.2 The modules</A></H1><P><P><P>This part gives a presentation of the different modules currently available in the code, along with theirutilization context and parameters. Concrete computational examples are given in chapter 6.<P><H2><A NAME=SECTION04121000000000000000>1.2.1 ASEMBV: assembly of B</A></H2><P><A NAME=asembv>&#160;</A><P><DL COMPACT><DT>Aim:<DD>  Assemble the element right-hand-sides  (forces, pressures, stresses, flux,  <b>...</b>) by packets, in order to use the computer's parallelization and vectorization possibilities to the best.<P><DT>Utilization:<DD>     <P><UL><LI> dimension array M (in the blank common),<LI> call INITI,                                  <LI> create the input data structure, TAE (and eventually NDL1).   </UL><P>Call the module:<P><PRE>      CALL ASEMBV(M,NOT,NDSM,NCODSB,NFTAE,NITAE,     +            NFNDL1,NINDL1,NFB,NIB,NTB)</PRE><P>where:<UL><LI> M: the super array,<LI> NOT: the number of the array to assemble of the element arrays in structure TAE,<LI> NDSM: the number of RHSs,<LI> NCODSB: the storage code of the output  data structures B(always  non-symmetric, i.e. NCODSB = -1),<LI> NFTAE: the number of the support file of I.D.S. TAE,<LI> NITAE: its level number,<LI> NFNDL1: the number of the support file of I.D.S. NDL1,<LI> NINDL1: its level number,<LI> NFB: the number of the support file of O.D.S.  B,<LI> NIB: its level number,<LI> NTB: the number of arrays associated  with O.D.S. B (to be input as data if NTB <b>&gt;</b> 0).</UL>  </DL><P><H2><A NAME=SECTION04122000000000000000>1.2.2 ASMAPS: assembly of MUA</A></H2><P><DL COMPACT><DT>Aim:<DD> Assemble the element symmetric or non-symmetric matrices, in the form of a skyline matrix<A NAME=1501>&#160;</A>, <b>A</b> (stiffness matrix, mass matrix, <b>...</b>), in secondarymemory.<P><DT>Utilization:<DD>  <P><UL><LI> dimension array M (in the blank common),<LI> call INITI,                                   <LI> create the input data structure, TAE (and eventually  NDL1),<LI> execute module PREPAC to initialize structure MUA, and create  pointer MUA4.<P></UL><P>Call the module:<P><PRE>      CALL ASMAPS(M,NOT,NFTAE,NITAE,NFNDL1,NINDL1,     +            NFMUAE,NIMUAE,NFMUAS,NIMUAS)</PRE><P>where<P><UL><LI> M: the super array,<LI> NOT: the number of the array to assemble of the element arrays in structure TAE,<LI> NFTAE: the number of the support file of the I.D.S. TAE (always  <b>&gt;</b> 0),<LI> NITAE: its level number,<LI> NFNDL1: the number of the support file of I.D.S. NDL1,<LI> NINDL1: its level number,<LI> NFMUAE: the number of the support file of I.D.S. MUA,     direct access file (always <b>&lt;</b> 0),<LI> NIMUAE: its level number,<LI> NFMUAS: the number of the support file of O.D.S. MUA,     direct access file (always <b>&lt;</b> 0),<LI> NIMUAS: its level number. The O.D.S. can be identical to the I.D.S. (NIMUAS = NIMUAE)or distinct (NIMUAS <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img3.gif"> NIMUAE).</UL>  </DL><P><H2><A NAME=SECTION04123000000000000000>1.2.3 ASMBMS: assembly of B</A></H2><P><DL COMPACT><DT>But:<DD> Assembly of the element RHSs(forces, pressures, stresses, flux, <b>...</b>) in secondary memory.<P><DT>Utilization:<DD>  <UL><LI> dimension array M (in the blank common),<LI> call INITI,<LI> create input data structure  TAE (and eventually  NDL1).</UL><P>Call the module:<PRE>            CALL ASMBMS(M,NOT,NDSM,NCODSB,NFTAE,NITAE,     +            NFNDL1,NINDL1,NFB,NIB,NTB)</PRE><P>where:<P><UL><LI> M: the super array,<LI> NOT: the number of the array to assemble of the element arrays in structure TAE,<LI> NDSM: the number of RHSs,<LI> NCODSB: the storage code for output data structure B(always non-symmetric,  NCODSB = -1),<LI> NFTAE:  the number of the support file of I.D.S. TAE,<LI> NITAE: its level number,<LI> NFNDL1: the number of the support file of I.D.S. NDL1,<LI> NINDL1: its level number,<LI> NFB:  the number of the support file of O.D.S. B,    direct access file (always <b>&lt;</b> 0),<LI> NIB:  its level number,<LI> NTB: the number of arrays associated with O.D.S. B  (to be input as data if NTB <b>&gt;</b> 0)</UL>  </DL><P><H2><A NAME=SECTION04124000000000000000>1.2.4 ASSMUA: assembly of MUA</A></H2><P><DL COMPACT><DT>Aim:<DD> Assemble the element matrices by packets, in the form of a skyline  matrix, <b>A</b> <A NAME=1516>&#160;</A> (stiffness matrix, mass matrix, <b>...</b>), in order touse the computer's parallelization and vectorization possibilities to the best.<P><DT>Utilization:<DD>  <P><UL><LI> dimension array M (in the blank common),<LI> call INITI,<LI> create the input data structure TAE (and eventually  NDL1),<LI> execute module PREPAC to initialize  structure MUA, and create  pointer MUA4.</UL><P>Call the module:<P><PRE>      CALL ASSMUA(M,NOT,NFTAE,NITAE,NFNDL1,NINDL1,     +            NFMUAE,NIMUAE,NFMUAS,NIMUAS)</PRE><P>where:<P><UL><LI> M: the super array,<LI> NOT: the number of the array to assemble of the element arrays in structure TAE,<LI> NFTAE: the number of the support file of I.D.S. TAE,<LI> NITAE: its level number,<LI> NFNDL1: the number of the support file of I.D.S. NDL1,<LI> NINDL1: its level number,<LI> NFMUAE:  the number of the support file of I.D.S.  MUA (incomplete),<LI> NIMUAE: its level number,<LI> NFMUAS:  the number of the support file of O.D.S. MUA,<LI> NIMUAS: its level number. The O.D.S. can be identical to the I.D.S. (NIMUAS = NIMUAE), or distinct (NIMUAS <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img3.gif"> NIMUAE).</UL>  </DL><P><H2><A NAME=SECTION04125000000000000000>1.2.5 CHOLPC: Cholesky factorization</A></H2><P><DL COMPACT><DT>Aim:<DD> Perform the Cholesky factorization<A NAME=1524>&#160;</A>, in main memory, ofa positive definite symmetric matrix <b>A</b><A NAME=1525>&#160;</A>, already assembled in structure MUA.<P><DT>Utilization:<DD>  <UL><LI> dimension array M (in the blank common),<LI> call INITI,<LI> create the input data structure MUA (and eventually NDL1),<LI> execute module PREPAC, then module ASSMUA to create the input data structure MUA, and eventuallymodule CLIMPC to impose the boundary conditions.</UL><P>Call the module:<P><PRE>        CALL CHOLPC(M,EPS,NENTRE,NFNDL1,NINDL1,     +            NFMUAE,NIMUAE,NFMUAS,NIMUAS,NRETOU)</PRE><P>where:<P><UL><LI> M: the super array,<LI> EPS: the minimum value accepted for a pivot <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img35.gif"> according to the criterion<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img36.gif">,<LI> NENTRE: if NENTRE = 0 the module returns to the calling program as soon as a pivot is smaller than EPS, or continue the computations if  NENTRE = 1,<LI> NFNDL1:  the number of the support file of I.D.S. NDL1,<LI> NINDL1: its level number,<LI> NFMUAE:  the number of the support file of I.D.S.  MUA,<LI> NIMUAE: its level number,<LI> NFMUAS:  the number of the support file of O.D.S. MUA,<LI> NIMUAS: its level number (the O.D.S. can be  distinct from the I.D.S., for example if we want to assembleseveral element arrays of structure TAE in an independent manner),<LI> NRETOU: output parameter: NRETOU = 1 if at least one pivot was judged too small, NRETOU = 0 if not.</UL>  </DL><P><H2><A NAME=SECTION04126000000000000000>1.2.6 CHOLPS: Cholesky factorization in secondary memory</A></H2><P><DL COMPACT><DT>Aim:<DD> Perform the Cholesky  factorization, in secondary memory in direct access<A NAME=1536>&#160;</A>,of a positive definite symmetric matrix <b>A</b><A NAME=1537>&#160;</A>, already assembled in a MUA structure.<P><DT>Utilization:<DD>  <P><UL><LI> dimension array M (in the blank common),<LI> call INITI,<LI> create the input data structure MUA (and eventually NDL1),<LI> execute module PREPAC, then module ASMAPS to create the input data structure MUA, andeventually module CLIMPS to impose the boundary conditions.</UL><P>Call the module:<P><PRE>        CALL CHOLPS(M,EPS,NENTRE,NFNDL1,NINDL1,     +            NFMUAE,NIMUAE,NFMUAS,NIMUAS,NRETOU)</PRE><P>where:<P><UL><LI> M: the super array,<LI> EPS: the minimum value accepted for a pivot <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img35.gif"> according to the criterion<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img36.gif">,<LI> NENTRE: if NENTRE = 0 the module returns to the calling program as soon as a pivot is smaller than EPS, or continue the computations if  NENTRE = 1,<LI> NFNDL1:  the number of the support file of I.D.S. NDL1,<LI> NINDL1: its level number,<LI> NFMUAE:  the number of the support file of I.D.S.  MUA,direct access file (always <b>&lt;</b> 0),<LI> NIMUAE: its level number,<LI> NFMUAS:  the number of the support file of O.D.S. MUA,  direct access file (always <b>&lt;</b> 0),<LI> NIMUAS: its level number. The O.D.S. can be identical to the I.D.S. (NIMUAS = NIMUAE), or distinct (NIMUAS <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img3.gif"> NIMUAE).<P><DL COMPACT><DT>Note:<DD> If  NFMUAE and NFMUAS  are distinct, the number of words in their pages must be equal!<P> </DL><LI> NRETOU: output parameter: NRETOU = 1 if at least one pivot was judged too small, NRETOU = 0 if not.</UL>  </DL><P><H2><A NAME=SECTION04127000000000000000>1.2.7 CLIMPC: boundary conditions</A></H2>

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