diff --git a/config/pac.m4 b/config/pac.m4 index 08e5d200..b7c7368e 100644 --- a/config/pac.m4 +++ b/config/pac.m4 @@ -272,8 +272,8 @@ AC_DEFUN([PAC_ARG_WITH_LIBS], AC_MSG_CHECKING([whether additional libraries are needed]) AC_ARG_WITH(libs, AC_HELP_STRING([--with-libs], -[List additional libraries here. For example, --with-libs=-lsuperlu -or --with-libs=/path/libsuperlu.a]), +[List additional link flags here. For example, --with-libs=-lspecial_system_lib +or --with-libs=-L/path/to/libs]), [ LIBS="${withval} ${LIBS}" AC_MSG_RESULT([LIBS = ${LIBS}]) diff --git a/configure b/configure index f236cc54..d1e877b1 100755 --- a/configure +++ b/configure @@ -1343,9 +1343,9 @@ Optional Packages: to CFLAGS --with-fflags additional FFLAGS flags to be added: will prepend to FFLAGS - --with-libs List additional libraries here. For example, - --with-libs=-lsuperlu or - --with-libs=/path/libsuperlu.a + --with-libs List additional link flags here. For example, + --with-libs=-lspecial_system_lib or + --with-libs=-L/path/to/libs --with-clibs additional CLIBS flags to be added: will prepend to CLIBS --with-flibs additional FLIBS flags to be added: will prepend diff --git a/docs/pdf/util.tex b/docs/pdf/util.tex index 32e144fd..fb48a3ca 100644 --- a/docs/pdf/util.tex +++ b/docs/pdf/util.tex @@ -31,11 +31,11 @@ Specified as: an integer value. Only meaningful if filename is not \verb|-|. \item[a] the sparse matrix read from file.\\ Type:{\bf required}.\\ Specified as: a structured data of type \spdata. -\item[b] Rigth hand side.\\ +\item[b] Rigth hand side(s).\\ Type: {\bf Optional} \\ -An array of type real or complex, rank 1 and having the ALLOCATABLE +An array of type real or complex, rank 2 and having the ALLOCATABLE attribute; will be allocated and filled in if the input file contains -a right hand side. +a right hand side, otherwise will be left in the UNALLOCATED state. \item[mtitle] Matrix title.\\ Type: {\bf Optional} \\ A charachter variable of length 72 holding a copy of the @@ -122,6 +122,34 @@ Type: {\bf required} \\ An integer value; 0 means no error has been detected. \end{description} +\subroutine{mm\_vet\_read}{Read a dense vector from a file in the MatrixMarket format} +\syntax{call mm\_vet\_read}{b, iret, iunit, filename} + +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry ] +\item[filename] The name of the file to be read.\\ +Type:{\bf optional}.\\ +Specified as: a character variable containing a valid file name, or +\verb|-|, in which case the default input unit 5 (i.e. standard input +in Unix jargon) is used. Default: \verb|-|. +\item[iunit] The Fortran file unit number.\\ +Type:{\bf optional}.\\ +Specified as: an integer value. Only meaningful if filename is not \verb|-|. +\end{description} + +\begin{description} +\item[\bf On Return] +\item[b] Rigth hand side(s).\\ +Type: {\bf required} \\ +An array of type real or complex, rank 2 and having the ALLOCATABLE +attribute; will be allocated and filled in if the input file contains +a right hand side, otherwise will be left in the UNALLOCATED state. +\item[iret] Error code.\\ +Type: {\bf required} \\ +An integer value; 0 means no error has been detected. +\end{description} + \subroutine{mm\_mat\_write}{Write a sparse matrix to a file in the MatrixMarket format} diff --git a/docs/userguide.pdf b/docs/userguide.pdf index 497e10a5..8162db42 100644 --- a/docs/userguide.pdf +++ b/docs/userguide.pdf @@ -1,4 +1,5 @@ %PDF-1.4 +%ÐÔÅØ 5 0 obj << /S /GoTo /D (title.0) >> endobj @@ -597,16712 +598,9149 @@ endobj << /S /GoTo /D (section*.191) >> endobj 404 0 obj -(mm\137mat\137write) +(mm\137vet\137read) endobj 405 0 obj -<< /S /GoTo /D (section.10) >> +<< /S /GoTo /D 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Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 518.3068 cm + [-586(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -518.3068 cm -BT -/F8 9.9626 Tf 433.6438 518.3068 Td[(14)]TJ -ET -1 0 0 1 443.6065 518.3068 cm + [-1084(14)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -505.3179 cm -BT -/F8 9.9626 Tf 114.8394 505.3179 Td[(3.4)-1022(Data)-333(s)-1(t)1(ructur)1(e)-334(qu)1(e)-1(r)1(y)-334(r)1(outin)1(e)-1(s)]TJ -ET -1 0 0 1 267.9046 505.3179 cm + 0 -12.989 Td [(3.4)-1022(Data)-334(structure)-333(query)-333(routines)]TJ 0 g 0 G -1 0 0 1 -267.9046 -505.3179 cm -BT -/F8 9.9626 Tf 272.8553 505.3179 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 505.3179 cm + [-497(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -505.3179 cm -BT -/F8 9.9626 Tf 433.6438 505.3179 Td[(14)]TJ -ET -1 0 0 1 443.6065 505.3179 cm + [-1084(14)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -492.329 cm -BT -/F8 9.9626 Tf 137.7535 492.329 Td[(psb)]TJ + 22.914 -12.989 Td [(psb)]TJ ET -1 0 0 1 153.3506 492.329 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 492.528 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -492.329 cm BT -/F8 9.9626 Tf 156.3394 492.329 Td[(cd)]TJ +/F8 9.9626 Tf 156.339 492.329 Td [(cd)]TJ ET -1 0 0 1 166.8998 492.329 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.9 492.528 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.8998 -492.329 cm BT -/F8 9.9626 Tf 169.8886 492.329 Td[(get)]TJ +/F8 9.9626 Tf 169.889 492.329 Td [(get)]TJ ET -1 0 0 1 183.7699 492.329 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 183.77 492.528 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -183.7699 -492.329 cm BT -/F8 9.9626 Tf 186.7587 492.329 Td[(lo)-28(cal)]TJ +/F8 9.9626 Tf 186.759 492.329 Td [(lo)-28(cal)]TJ ET -1 0 0 1 207.5585 492.329 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 207.559 492.528 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -207.5585 -492.329 cm BT -/F8 9.9626 Tf 210.5473 492.329 Td[(ro)28(ws)]TJ -ET -1 0 0 1 230.2789 492.329 cm +/F8 9.9626 Tf 210.547 492.329 Td [(ro)28(ws)]TJ 0 g 0 G -1 0 0 1 -230.2789 -492.329 cm -BT -/F8 9.9626 Tf 234.1123 492.329 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 433.6438 492.329 cm + [-385(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -492.329 cm -BT -/F8 9.9626 Tf 433.6438 492.329 Td[(14)]TJ -ET -1 0 0 1 443.6065 492.329 cm + [-1084(14)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9888 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -479.3402 cm -BT -/F8 9.9626 Tf 137.7535 479.3402 Td[(psb)]TJ + -72.794 -12.989 Td [(psb)]TJ ET -1 0 0 1 153.3506 479.3402 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 479.539 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -479.3402 cm BT -/F8 9.9626 Tf 156.3394 479.3402 Td[(cd)]TJ +/F8 9.9626 Tf 156.339 479.34 Td [(cd)]TJ ET -1 0 0 1 166.8998 479.3402 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.9 479.539 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.8998 -479.3402 cm BT -/F8 9.9626 Tf 169.8886 479.3402 Td[(get)]TJ +/F8 9.9626 Tf 169.889 479.34 Td [(get)]TJ ET -1 0 0 1 183.7699 479.3402 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 183.77 479.539 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -183.7699 -479.3402 cm BT -/F8 9.9626 Tf 186.7587 479.3402 Td[(lo)-28(cal)]TJ +/F8 9.9626 Tf 186.759 479.34 Td [(lo)-28(cal)]TJ ET -1 0 0 1 207.5585 479.3402 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 207.559 479.539 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -207.5585 -479.3402 cm BT -/F8 9.9626 Tf 210.5473 479.3402 Td[(cols)]TJ -ET -1 0 0 1 226.6536 479.3402 cm +/F8 9.9626 Tf 210.547 479.34 Td [(cols)]TJ 0 g 0 G -1 0 0 1 -226.6536 -479.3402 cm -BT -/F8 9.9626 Tf 234.1123 479.3402 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 433.6438 479.3402 cm + [-749(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -479.3402 cm -BT -/F8 9.9626 Tf 433.6438 479.3402 Td[(15)]TJ -ET -1 0 0 1 443.6065 479.3402 cm + [-1084(15)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -466.3513 cm -BT -/F8 9.9626 Tf 137.7535 466.3513 Td[(psb)]TJ + -72.794 -12.989 Td [(psb)]TJ ET -1 0 0 1 153.3506 466.3513 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 466.551 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -466.3513 cm BT -/F8 9.9626 Tf 156.3394 466.3513 Td[(cd)]TJ +/F8 9.9626 Tf 156.339 466.351 Td [(cd)]TJ ET -1 0 0 1 166.8998 466.3513 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.9 466.551 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.8998 -466.3513 cm BT -/F8 9.9626 Tf 169.8886 466.3513 Td[(get)]TJ +/F8 9.9626 Tf 169.889 466.351 Td [(get)]TJ ET -1 0 0 1 183.7699 466.3513 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 183.77 466.551 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -183.7699 -466.3513 cm BT -/F8 9.9626 Tf 186.7587 466.3513 Td[(glob)1(al)]TJ +/F8 9.9626 Tf 186.759 466.351 Td [(global)]TJ ET -1 0 0 1 213.3701 466.3513 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 213.37 466.551 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -213.3701 -466.3513 cm BT -/F8 9.9626 Tf 216.3589 466.3513 Td[(ro)28(ws)]TJ -ET -1 0 0 1 236.0905 466.3513 cm +/F8 9.9626 Tf 216.359 466.351 Td [(ro)28(ws)]TJ 0 g 0 G -1 0 0 1 -236.0905 -466.3513 cm -BT -/F8 9.9626 Tf 241.8609 466.3513 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 466.3513 cm + [-579(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -466.3513 cm -BT -/F8 9.9626 Tf 433.6438 466.3513 Td[(16)]TJ -ET -1 0 0 1 443.6065 466.3513 cm + [-1084(16)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -453.3624 cm -BT -/F8 9.9626 Tf 137.7535 453.3624 Td[(psb)]TJ + -78.605 -12.989 Td [(psb)]TJ ET -1 0 0 1 153.3506 453.3624 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 453.562 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -453.3624 cm BT -/F8 9.9626 Tf 156.3394 453.3624 Td[(cd)]TJ +/F8 9.9626 Tf 156.339 453.362 Td [(cd)]TJ ET -1 0 0 1 166.8998 453.3624 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.9 453.562 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.8998 -453.3624 cm BT -/F8 9.9626 Tf 169.8886 453.3624 Td[(get)]TJ +/F8 9.9626 Tf 169.889 453.362 Td [(get)]TJ ET -1 0 0 1 183.7699 453.3624 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 183.77 453.562 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -183.7699 -453.3624 cm BT -/F8 9.9626 Tf 186.7587 453.3624 Td[(glob)1(al)]TJ +/F8 9.9626 Tf 186.759 453.362 Td [(global)]TJ ET -1 0 0 1 213.3701 453.3624 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 213.37 453.562 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -213.3701 -453.3624 cm BT -/F8 9.9626 Tf 216.3589 453.3624 Td[(cols)]TJ -ET -1 0 0 1 232.4652 453.3624 cm +/F8 9.9626 Tf 216.359 453.362 Td [(cols)]TJ 0 g 0 G -1 0 0 1 -232.4652 -453.3624 cm -BT -/F8 9.9626 Tf 241.8609 453.3624 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 453.3624 cm + [-943(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -453.3624 cm -BT -/F8 9.9626 Tf 433.6438 453.3624 Td[(16)]TJ -ET -1 0 0 1 443.6065 453.3624 cm + [-1084(16)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -440.3735 cm -BT -/F8 9.9626 Tf 137.7535 440.3735 Td[(psb)]TJ + -78.605 -12.988 Td [(psb)]TJ ET -1 0 0 1 153.3506 440.3735 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 440.573 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -440.3735 cm BT -/F8 9.9626 Tf 156.3394 440.3735 Td[(cd)]TJ +/F8 9.9626 Tf 156.339 440.374 Td [(cd)]TJ ET -1 0 0 1 166.8998 440.3735 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.9 440.573 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.8998 -440.3735 cm BT -/F8 9.9626 Tf 169.8886 440.3735 Td[(get)]TJ +/F8 9.9626 Tf 169.889 440.374 Td [(get)]TJ ET -1 0 0 1 183.7699 440.3735 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 183.77 440.573 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -183.7699 -440.3735 cm BT -/F8 9.9626 Tf 186.7587 440.3735 Td[(con)28(te)-1(x)1(t)]TJ -ET -1 0 0 1 218.8606 440.3735 cm +/F8 9.9626 Tf 186.759 440.374 Td [(con)28(text)]TJ 0 g 0 G -1 0 0 1 -218.8606 -440.3735 cm -BT -/F8 9.9626 Tf 226.3637 440.3735 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 433.6438 440.3735 cm + [-753(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -440.3735 cm -BT -/F8 9.9626 Tf 433.6438 440.3735 Td[(17)]TJ -ET -1 0 0 1 443.6065 440.3735 cm + [-1083(17)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -427.3846 cm -BT -/F8 9.9626 Tf 137.7535 427.3846 Td[(psb)]TJ + -49.005 -12.989 Td [(psb)]TJ ET -1 0 0 1 153.3506 427.3846 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 427.584 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -427.3846 cm BT -/F8 9.9626 Tf 156.3394 427.3846 Td[(cd)]TJ +/F8 9.9626 Tf 156.339 427.385 Td [(cd)]TJ ET -1 0 0 1 166.8998 427.3846 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.9 427.584 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.8998 -427.3846 cm BT -/F8 9.9626 Tf 169.8886 427.3846 Td[(get)]TJ +/F8 9.9626 Tf 169.889 427.385 Td [(get)]TJ ET -1 0 0 1 183.7699 427.3846 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 183.77 427.584 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -183.7699 -427.3846 cm BT -/F8 9.9626 Tf 186.7587 427.3846 Td[(lar)1(ge)]TJ +/F8 9.9626 Tf 186.759 427.385 Td [(large)]TJ ET -1 0 0 1 208.4164 427.3846 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 208.416 427.584 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -208.4164 -427.3846 cm BT -/F8 9.9626 Tf 211.4052 427.3846 Td[(th)1(re)-1(shol)1(d)]TJ -ET -1 0 0 1 251.8924 427.3846 cm +/F8 9.9626 Tf 211.405 427.385 Td [(threshold)]TJ 0 g 0 G -1 0 0 1 -251.8924 -427.3846 cm -BT -/F8 9.9626 Tf 257.3581 427.3846 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 433.6438 427.3846 cm + [-549(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -427.3846 cm -BT -/F8 9.9626 Tf 433.6438 427.3846 Td[(17)]TJ -ET -1 0 0 1 443.6065 427.3846 cm + [-1084(17)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -414.3958 cm -BT -/F8 9.9626 Tf 137.7535 414.3958 Td[(psb)]TJ + -73.652 -12.989 Td [(psb)]TJ ET -1 0 0 1 153.3506 414.3958 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 414.595 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -414.3958 cm BT -/F8 9.9626 Tf 156.3394 414.3958 Td[(cd)]TJ +/F8 9.9626 Tf 156.339 414.396 Td [(cd)]TJ ET -1 0 0 1 166.8998 414.3958 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.9 414.595 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.8998 -414.3958 cm BT -/F8 9.9626 Tf 169.8886 414.3958 Td[(se)-1(t)]TJ +/F8 9.9626 Tf 169.889 414.396 Td [(set)]TJ ET -1 0 0 1 182.7183 414.3958 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 182.718 414.595 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -182.7183 -414.3958 cm BT -/F8 9.9626 Tf 185.7071 414.3958 Td[(lar)1(ge)]TJ +/F8 9.9626 Tf 185.707 414.396 Td [(large)]TJ ET -1 0 0 1 207.3648 414.3958 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 207.365 414.595 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -207.3648 -414.3958 cm BT -/F8 9.9626 Tf 210.3536 414.3958 Td[(th)1(re)-1(shol)1(d)]TJ -ET -1 0 0 1 250.8407 414.3958 cm +/F8 9.9626 Tf 210.354 414.396 Td [(threshold)]TJ 0 g 0 G -1 0 0 1 -250.8407 -414.3958 cm -BT -/F8 9.9626 Tf 257.3581 414.3958 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 433.6438 414.3958 cm + [-654(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -414.3958 cm -BT -/F8 9.9626 Tf 433.6438 414.3958 Td[(18)]TJ -ET -1 0 0 1 443.6065 414.3958 cm + [-1084(18)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -401.4069 cm -BT -/F8 9.9626 Tf 137.7535 401.4069 Td[(psb)]TJ + -72.601 -12.989 Td [(psb)]TJ ET -1 0 0 1 153.3506 401.4069 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 401.606 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -401.4069 cm BT -/F8 9.9626 Tf 156.3394 401.4069 Td[(sp)]TJ +/F8 9.9626 Tf 156.339 401.407 Td [(sp)]TJ ET -1 0 0 1 166.4017 401.4069 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.402 401.606 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.4017 -401.4069 cm BT -/F8 9.9626 Tf 169.3905 401.4069 Td[(get)]TJ +/F8 9.9626 Tf 169.39 401.407 Td [(get)]TJ ET -1 0 0 1 183.2718 401.4069 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 183.272 401.606 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -183.2718 -401.4069 cm BT -/F8 9.9626 Tf 186.2606 401.4069 Td[(nr)1(o)28(w)-1(s)]TJ -ET -1 0 0 1 211.527 401.4069 cm +/F8 9.9626 Tf 186.261 401.407 Td [(nro)28(ws)]TJ 0 g 0 G -1 0 0 1 -211.527 -401.4069 cm -BT -/F8 9.9626 Tf 218.6151 401.4069 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 401.4069 cm + [-712(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -401.4069 cm -BT -/F8 9.9626 Tf 433.6438 401.4069 Td[(18)]TJ -ET -1 0 0 1 443.6065 401.4069 cm + [-1084(18)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -388.418 cm -BT -/F8 9.9626 Tf 137.7535 388.418 Td[(psb)]TJ + -48.508 -12.989 Td [(psb)]TJ ET -1 0 0 1 153.3506 388.418 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 388.617 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -388.418 cm BT -/F8 9.9626 Tf 156.3394 388.418 Td[(sp)]TJ +/F8 9.9626 Tf 156.339 388.418 Td [(sp)]TJ ET -1 0 0 1 166.4017 388.418 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.402 388.617 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.4017 -388.418 cm BT -/F8 9.9626 Tf 169.3905 388.418 Td[(get)]TJ +/F8 9.9626 Tf 169.39 388.418 Td [(get)]TJ ET -1 0 0 1 183.2718 388.418 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 183.272 388.617 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -183.2718 -388.418 cm BT -/F8 9.9626 Tf 186.2606 388.418 Td[(ncols)]TJ -ET -1 0 0 1 207.9017 388.418 cm +/F8 9.9626 Tf 186.261 388.418 Td [(ncols)]TJ 0 g 0 G -1 0 0 1 -207.9017 -388.418 cm -BT -/F8 9.9626 Tf 210.8665 388.418 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 388.418 cm + [-298(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -388.418 cm -BT -/F8 9.9626 Tf 433.6438 388.418 Td[(19)]TJ -ET -1 0 0 1 443.6065 388.418 cm + [-1084(19)]TJ 0 g 0 G -1 0 0 1 -305.853 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -137.7535 -375.4291 cm -BT -/F8 9.9626 Tf 137.7535 375.4291 Td[(psb)]TJ + -48.508 -12.989 Td [(psb)]TJ ET -1 0 0 1 153.3506 375.4291 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 153.351 375.628 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -153.3506 -375.4291 cm BT -/F8 9.9626 Tf 156.3394 375.4291 Td[(sp)]TJ +/F8 9.9626 Tf 156.339 375.429 Td [(sp)]TJ ET -1 0 0 1 166.4017 375.4291 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 166.402 375.628 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -166.4017 -375.4291 cm BT -/F8 9.9626 Tf 169.3905 375.4291 Td[(get)]TJ +/F8 9.9626 Tf 169.39 375.429 Td [(get)]TJ ET -1 0 0 1 183.2718 375.4291 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 183.272 375.628 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -183.2718 -375.4291 cm BT -/F8 9.9626 Tf 186.2606 375.4291 Td[(nn)1(z)-1(eros)]TJ -ET -1 0 0 1 218.999 375.4291 cm +/F8 9.9626 Tf 186.261 375.429 Td [(nnzeros)]TJ 0 g 0 G -1 0 0 1 -218.999 -375.4291 cm -BT -/F8 9.9626 Tf 226.3637 375.4291 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 433.6438 375.4291 cm + [-739(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -375.4291 cm -BT -/F8 9.9626 Tf 433.6438 375.4291 Td[(19)]TJ -ET -1 0 0 1 443.6065 375.4291 cm + [-1084(19)]TJ 0 g 0 G -1 0 0 1 -343.7111 -23.6407 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -99.8954 -351.7884 cm -BT -/F29 9.9626 Tf 99.8954 351.7884 Td[(4)-925(Computati)-1(on)1(al)-384(routines)]TJ -ET -1 0 0 1 234.032 351.7884 cm +/F27 9.9626 Tf -86.366 -23.641 Td [(4)-925(Computational)-383(r)-1(ou)1(t)-1(ines)]TJ 0 g 0 G -1 0 0 1 -234.032 -351.7884 cm -BT -/F29 9.9626 Tf 432.1495 351.7884 Td[(20)]TJ -ET -1 0 0 1 114.8394 338.7995 cm + [-19886(20)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -338.7995 cm -BT -/F8 9.9626 Tf 114.8394 338.7995 Td[(psb)]TJ +/F8 9.9626 Tf 14.944 -12.988 Td [(psb)]TJ ET -1 0 0 1 130.4364 338.7995 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 338.999 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -338.7995 cm BT -/F8 9.9626 Tf 133.4253 338.7995 Td[(geaxpb)28(y)]TJ -ET -1 0 0 1 169.1248 338.7995 cm +/F8 9.9626 Tf 133.425 338.8 Td [(geaxpb)28(y)]TJ 0 g 0 G -1 0 0 1 -169.1248 -338.7995 cm -BT -/F8 9.9626 Tf 172.1235 338.7995 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 338.7995 cm + [-301(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -338.7995 cm -BT -/F8 9.9626 Tf 433.6438 338.7995 Td[(21)]TJ -ET -1 0 0 1 443.6065 338.7995 cm + [-1084(21)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9888 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -325.8107 cm -BT -/F8 9.9626 Tf 114.8394 325.8107 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 325.8107 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 326.01 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -325.8107 cm BT -/F8 9.9626 Tf 133.4253 325.8107 Td[(gedot)]TJ -ET -1 0 0 1 157.225 325.8107 cm +/F8 9.9626 Tf 133.425 325.811 Td [(gedot)]TJ 0 g 0 G -1 0 0 1 -157.225 -325.8107 cm -BT -/F8 9.9626 Tf 164.3749 325.8107 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 433.6438 325.8107 cm + [-718(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -325.8107 cm -BT -/F8 9.9626 Tf 433.6438 325.8107 Td[(23)]TJ -ET -1 0 0 1 443.6065 325.8107 cm + [-1083(23)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -312.8218 cm -BT -/F8 9.9626 Tf 114.8394 312.8218 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 312.8218 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 313.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -312.8218 cm BT -/F8 9.9626 Tf 133.4253 312.8218 Td[(gedots)]TJ -ET -1 0 0 1 161.1547 312.8218 cm +/F8 9.9626 Tf 133.425 312.822 Td [(gedots)]TJ 0 g 0 G -1 0 0 1 -161.1547 -312.8218 cm -BT -/F8 9.9626 Tf 164.3749 312.8218 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 433.6438 312.8218 cm + [-323(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -312.8218 cm -BT -/F8 9.9626 Tf 433.6438 312.8218 Td[(25)]TJ -ET -1 0 0 1 443.6065 312.8218 cm + [-1084(25)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -299.8329 cm -BT -/F8 9.9626 Tf 114.8394 299.8329 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 299.8329 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 300.032 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -299.8329 cm BT -/F8 9.9626 Tf 133.4253 299.8329 Td[(geam)-1(ax)]TJ -ET -1 0 0 1 166.3574 299.8329 cm +/F8 9.9626 Tf 133.425 299.833 Td [(geamax)]TJ 0 g 0 G -1 0 0 1 -166.3574 -299.8329 cm -BT -/F8 9.9626 Tf 172.1235 299.8329 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 299.8329 cm + [-579(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -299.8329 cm -BT -/F8 9.9626 Tf 433.6438 299.8329 Td[(27)]TJ -ET -1 0 0 1 443.6065 299.8329 cm + [-1084(27)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -286.844 cm -BT -/F8 9.9626 Tf 114.8394 286.844 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 286.844 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 287.043 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -286.844 cm BT -/F8 9.9626 Tf 133.4253 286.844 Td[(geam)-1(axs)]TJ -ET -1 0 0 1 170.2871 286.844 cm +/F8 9.9626 Tf 133.425 286.844 Td [(geamaxs)]TJ 0 g 0 G -1 0 0 1 -170.2871 -286.844 cm -BT -/F8 9.9626 Tf 179.8721 286.844 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 286.844 cm + [-962(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -286.844 cm -BT -/F8 9.9626 Tf 433.6438 286.844 Td[(29)]TJ -ET -1 0 0 1 443.6065 286.844 cm + [-1084(29)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -273.8551 cm -BT -/F8 9.9626 Tf 114.8394 273.8551 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 273.8551 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 274.054 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -273.8551 cm BT -/F8 9.9626 Tf 133.4253 273.8551 Td[(geas)-1(u)1(m)]TJ -ET -1 0 0 1 165.5825 273.8551 cm +/F8 9.9626 Tf 133.425 273.855 Td [(geasum)]TJ 0 g 0 G -1 0 0 1 -165.5825 -273.8551 cm -BT -/F8 9.9626 Tf 172.1235 273.8551 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 273.8551 cm + [-657(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -273.8551 cm -BT -/F8 9.9626 Tf 433.6438 273.8551 Td[(30)]TJ -ET -1 0 0 1 443.6065 273.8551 cm + [-1083(30)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -260.8662 cm -BT -/F8 9.9626 Tf 114.8394 260.8662 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 260.8662 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 261.066 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -260.8662 cm BT -/F8 9.9626 Tf 133.4253 260.8662 Td[(geas)-1(u)1(m)-1(s)]TJ -ET -1 0 0 1 169.5122 260.8662 cm +/F8 9.9626 Tf 133.425 260.866 Td [(geasums)]TJ 0 g 0 G -1 0 0 1 -169.5122 -260.8662 cm -BT -/F8 9.9626 Tf 172.1235 260.8662 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 260.8662 cm + [-262(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -260.8662 cm -BT -/F8 9.9626 Tf 433.6438 260.8662 Td[(32)]TJ -ET -1 0 0 1 443.6065 260.8662 cm + [-1084(32)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -247.8773 cm -BT -/F8 9.9626 Tf 114.8394 247.8773 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 247.8773 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 248.077 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -247.8773 cm BT -/F8 9.9626 Tf 133.4253 247.8773 Td[(genrm2)]TJ -ET -1 0 0 1 165.5549 247.8773 cm +/F8 9.9626 Tf 133.425 247.877 Td [(genrm2)]TJ 0 g 0 G -1 0 0 1 -165.5549 -247.8773 cm -BT -/F8 9.9626 Tf 172.1235 247.8773 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 247.8773 cm + [-659(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -247.8773 cm -BT -/F8 9.9626 Tf 433.6438 247.8773 Td[(34)]TJ -ET -1 0 0 1 443.6065 247.8773 cm + [-1084(34)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -234.8885 cm -BT -/F8 9.9626 Tf 114.8394 234.8885 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 234.8885 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 235.088 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -234.8885 cm BT -/F8 9.9626 Tf 133.4253 234.8885 Td[(genrm2s)]TJ -ET -1 0 0 1 169.4846 234.8885 cm +/F8 9.9626 Tf 133.425 234.889 Td [(genrm2s)]TJ 0 g 0 G -1 0 0 1 -169.4846 -234.8885 cm -BT -/F8 9.9626 Tf 172.1235 234.8885 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 234.8885 cm + [-265(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -234.8885 cm -BT -/F8 9.9626 Tf 433.6438 234.8885 Td[(36)]TJ -ET -1 0 0 1 443.6065 234.8885 cm + [-1084(36)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -221.8996 cm -BT -/F8 9.9626 Tf 114.8394 221.8996 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 221.8996 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 222.099 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -221.8996 cm BT -/F8 9.9626 Tf 133.4253 221.8996 Td[(spnr)1(m)-1(i)]TJ -ET -1 0 0 1 163.3963 221.8996 cm +/F8 9.9626 Tf 133.425 221.9 Td [(spnrmi)]TJ 0 g 0 G -1 0 0 1 -163.3963 -221.8996 cm -BT -/F8 9.9626 Tf 172.1235 221.8996 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 433.6438 221.8996 cm + [-876(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -221.8996 cm -BT -/F8 9.9626 Tf 433.6438 221.8996 Td[(38)]TJ -ET -1 0 0 1 443.6065 221.8996 cm + [-1084(38)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -208.9107 cm -BT -/F8 9.9626 Tf 114.8394 208.9107 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 208.9107 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 209.11 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -208.9107 cm BT -/F8 9.9626 Tf 133.4253 208.9107 Td[(spmm)]TJ -ET -1 0 0 1 159.4942 208.9107 cm +/F8 9.9626 Tf 133.425 208.911 Td [(spmm)]TJ 0 g 0 G -1 0 0 1 -159.4942 -208.9107 cm -BT -/F8 9.9626 Tf 164.3749 208.9107 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 433.6438 208.9107 cm + [-490(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -208.9107 cm -BT -/F8 9.9626 Tf 433.6438 208.9107 Td[(39)]TJ -ET -1 0 0 1 443.6065 208.9107 cm + [-1084(39)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -195.9218 cm -BT -/F8 9.9626 Tf 114.8394 195.9218 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 195.9218 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 196.121 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -195.9218 cm BT -/F8 9.9626 Tf 133.4253 195.9218 Td[(spsm)]TJ -ET -1 0 0 1 155.1217 195.9218 cm +/F8 9.9626 Tf 133.425 195.922 Td [(spsm)]TJ 0 g 0 G -1 0 0 1 -155.1217 -195.9218 cm -BT -/F8 9.9626 Tf 164.3749 195.9218 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 433.6438 195.9218 cm + [-929(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -195.9218 cm -BT -/F8 9.9626 Tf 433.6438 195.9218 Td[(42)]TJ -ET -1 0 0 1 443.6065 195.9218 cm + [-1084(42)]TJ 0 g 0 G -1 0 0 1 -343.7111 -23.6407 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -99.8954 -172.2811 cm -BT -/F29 9.9626 Tf 99.8954 172.2811 Td[(5)-925(Comm)32(unic)-1(ation)-384(r)1(outi)-1(nes)]TJ -ET -1 0 0 1 238.3284 172.2811 cm +/F27 9.9626 Tf -33.53 -23.641 Td [(5)-925(Comm)32(unication)-384(routines)]TJ 0 g 0 G -1 0 0 1 -238.3284 -172.2811 cm -BT -/F29 9.9626 Tf 432.1495 172.2811 Td[(45)]TJ -ET -1 0 0 1 114.8394 159.2922 cm + [-19454(45)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -159.2923 cm -BT -/F8 9.9626 Tf 114.8394 159.2923 Td[(psb)]TJ +/F8 9.9626 Tf 14.944 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 159.2923 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 159.492 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -130.4364 -159.2923 cm BT -/F8 9.9626 Tf 133.4253 159.2923 Td[(hal)1(o)]TJ -ET -1 0 0 1 151.6902 159.2923 cm +/F8 9.9626 Tf 133.425 159.292 Td [(halo)]TJ 0 g 0 G -1 0 0 1 -151.6902 -159.2923 cm -BT -/F8 9.9626 Tf 156.6262 159.2923 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 433.6438 159.2923 cm + [-495(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -433.6438 -159.2923 cm -BT -/F8 9.9626 Tf 433.6438 159.2923 Td[(46)]TJ -ET -1 0 0 1 443.6065 159.2923 cm + [-1084(46)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.9889 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -114.8394 -146.3034 cm -BT -/F8 9.9626 Tf 114.8394 146.3034 Td[(psb)]TJ + -18.586 -12.989 Td [(psb)]TJ ET -1 0 0 1 130.4364 146.3034 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 130.436 146.503 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 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681.6333 cm + [-1084(62)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -669.3855 cm -BT -/F8 9.9626 Tf 165.6488 669.3855 Td[(psb)]TJ + -18.586 -12.247 Td [(psb)]TJ ET -1 0 0 1 181.2459 669.3855 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 669.585 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -669.3855 cm BT -/F8 9.9626 Tf 184.2347 669.3855 Td[(cdasb)]TJ -ET -1 0 0 1 208.6432 669.3855 cm +/F8 9.9626 Tf 184.235 669.386 Td [(cdasb)]TJ 0 g 0 G -1 0 0 1 -208.6432 -669.3855 cm -BT -/F8 9.9626 Tf 215.1843 669.3855 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 669.3855 cm + [-657(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -669.3855 cm -BT -/F8 9.9626 Tf 484.4533 669.3855 Td[(64)]TJ -ET -1 0 0 1 494.4159 669.3855 cm + [-1083(64)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -657.1377 cm -BT -/F8 9.9626 Tf 165.6488 657.1377 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 657.1377 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 657.337 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -657.1377 cm BT -/F8 9.9626 Tf 184.2347 657.1377 Td[(cdcp)28(y)]TJ -ET -1 0 0 1 209.1414 657.1377 cm +/F8 9.9626 Tf 184.235 657.138 Td [(cdcp)28(y)]TJ 0 g 0 G -1 0 0 1 -209.1414 -657.1377 cm -BT -/F8 9.9626 Tf 215.1843 657.1377 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 657.1377 cm + [-607(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -657.1377 cm -BT -/F8 9.9626 Tf 484.4533 657.1377 Td[(65)]TJ -ET -1 0 0 1 494.4159 657.1377 cm + [-1084(65)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -644.8899 cm -BT -/F8 9.9626 Tf 165.6488 644.8899 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 644.8899 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 645.089 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -644.8899 cm BT -/F8 9.9626 Tf 184.2347 644.8899 Td[(cdfr)1(e)-1(e)]TJ -ET -1 0 0 1 209.9993 644.8899 cm +/F8 9.9626 Tf 184.235 644.89 Td [(cdfree)]TJ 0 g 0 G -1 0 0 1 -209.9993 -644.8899 cm -BT -/F8 9.9626 Tf 215.1843 644.8899 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 644.8899 cm + [-520(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -644.8899 cm -BT -/F8 9.9626 Tf 484.4533 644.8899 Td[(66)]TJ -ET -1 0 0 1 494.4159 644.8899 cm + [-1084(66)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2477 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -632.6422 cm -BT -/F8 9.9626 Tf 165.6488 632.6422 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 632.6422 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 632.841 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -632.6422 cm BT -/F8 9.9626 Tf 184.2347 632.6422 Td[(cdbl)1(dext)]TJ -ET -1 0 0 1 221.5947 632.6422 cm +/F8 9.9626 Tf 184.235 632.642 Td [(cdbldext)]TJ 0 g 0 G -1 0 0 1 -221.5947 -632.6422 cm -BT -/F8 9.9626 Tf 230.6815 632.6422 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ -ET -1 0 0 1 484.4533 632.6422 cm + [-912(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -632.6422 cm 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[-323(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -620.3944 cm -BT -/F8 9.9626 Tf 484.4533 620.3944 Td[(69)]TJ -ET -1 0 0 1 494.4159 620.3944 cm + [-1084(69)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -608.1466 cm -BT -/F8 9.9626 Tf 165.6488 608.1466 Td[(psb)]TJ + -18.586 -12.247 Td [(psb)]TJ ET -1 0 0 1 181.2459 608.1466 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 608.346 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -608.1466 cm BT -/F8 9.9626 Tf 184.2347 608.1466 Td[(spin)1(s)]TJ -ET -1 0 0 1 205.9312 608.1466 cm +/F8 9.9626 Tf 184.235 608.147 Td [(spins)]TJ 0 g 0 G -1 0 0 1 -205.9312 -608.1466 cm -BT -/F8 9.9626 Tf 215.1843 608.1466 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 608.1466 cm + [-929(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -608.1466 cm -BT -/F8 9.9626 Tf 484.4533 608.1466 Td[(70)]TJ -ET -1 0 0 1 494.4159 608.1466 cm + [-1084(70)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -595.8988 cm -BT -/F8 9.9626 Tf 165.6488 595.8988 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 595.8988 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 596.098 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -595.8988 cm BT -/F8 9.9626 Tf 184.2347 595.8988 Td[(spasb)]TJ -ET -1 0 0 1 208.1451 595.8988 cm +/F8 9.9626 Tf 184.235 595.899 Td [(spasb)]TJ 0 g 0 G -1 0 0 1 -208.1451 -595.8988 cm -BT -/F8 9.9626 Tf 215.1843 595.8988 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 595.8988 cm + [-707(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -595.8988 cm -BT -/F8 9.9626 Tf 484.4533 595.8988 Td[(72)]TJ -ET -1 0 0 1 494.4159 595.8988 cm + [-1083(72)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2477 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -583.6511 cm -BT -/F8 9.9626 Tf 165.6488 583.6511 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 583.6511 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 583.85 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -583.6511 cm BT -/F8 9.9626 Tf 184.2347 583.6511 Td[(spfr)1(e)-1(e)]TJ -ET -1 0 0 1 209.5011 583.6511 cm +/F8 9.9626 Tf 184.235 583.651 Td [(spfree)]TJ 0 g 0 G -1 0 0 1 -209.5011 -583.6511 cm -BT -/F8 9.9626 Tf 215.1843 583.6511 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 583.6511 cm + [-570(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -583.6511 cm -BT -/F8 9.9626 Tf 484.4533 583.6511 Td[(74)]TJ -ET -1 0 0 1 494.4159 583.6511 cm + [-1084(74)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -571.4033 cm -BT -/F8 9.9626 Tf 165.6488 571.4033 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 571.4033 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 571.603 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -571.4033 cm BT -/F8 9.9626 Tf 184.2347 571.4033 Td[(sprn)]TJ -ET -1 0 0 1 203.1361 571.4033 cm +/F8 9.9626 Tf 184.235 571.403 Td [(sprn)]TJ 0 g 0 G -1 0 0 1 -203.1361 -571.4033 cm -BT -/F8 9.9626 Tf 207.4357 571.4033 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 571.4033 cm + [-431(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -571.4033 cm -BT -/F8 9.9626 Tf 484.4533 571.4033 Td[(75)]TJ -ET -1 0 0 1 494.4159 571.4033 cm + [-1084(75)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -559.1555 cm -BT -/F8 9.9626 Tf 165.6488 559.1555 Td[(psb)]TJ + -18.586 -12.247 Td [(psb)]TJ ET -1 0 0 1 181.2459 559.1555 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 559.355 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -559.1555 cm BT -/F8 9.9626 Tf 184.2347 559.1555 Td[(geall)]TJ -ET -1 0 0 1 204.1601 559.1555 cm +/F8 9.9626 Tf 184.235 559.156 Td [(geall)]TJ 0 g 0 G -1 0 0 1 -204.1601 -559.1555 cm -BT -/F8 9.9626 Tf 207.4357 559.1555 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 559.1555 cm + [-329(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -559.1555 cm -BT -/F8 9.9626 Tf 484.4533 559.1555 Td[(76)]TJ -ET -1 0 0 1 494.4159 559.1555 cm + [-1084(76)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -546.9077 cm -BT -/F8 9.9626 Tf 165.6488 546.9077 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 546.9077 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 547.107 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -546.9077 cm BT -/F8 9.9626 Tf 184.2347 546.9077 Td[(geins)]TJ -ET -1 0 0 1 205.8758 546.9077 cm +/F8 9.9626 Tf 184.235 546.908 Td [(geins)]TJ 0 g 0 G -1 0 0 1 -205.8758 -546.9077 cm -BT -/F8 9.9626 Tf 215.1843 546.9077 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 546.9077 cm + [-934(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -546.9077 cm -BT -/F8 9.9626 Tf 484.4533 546.9077 Td[(77)]TJ -ET -1 0 0 1 494.4159 546.9077 cm + [-1084(77)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2477 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -534.66 cm -BT -/F8 9.9626 Tf 165.6488 534.66 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 534.66 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 534.859 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -534.66 cm BT -/F8 9.9626 Tf 184.2347 534.66 Td[(geas)-1(b)]TJ -ET -1 0 0 1 208.0898 534.66 cm +/F8 9.9626 Tf 184.235 534.66 Td [(geasb)]TJ 0 g 0 G -1 0 0 1 -208.0898 -534.66 cm -BT -/F8 9.9626 Tf 215.1843 534.66 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 534.66 cm + [-712(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -534.66 cm -BT -/F8 9.9626 Tf 484.4533 534.66 Td[(79)]TJ -ET -1 0 0 1 494.4159 534.66 cm + [-1084(79)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -522.4122 cm -BT -/F8 9.9626 Tf 165.6488 522.4122 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 522.4122 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 522.611 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -522.4122 cm BT -/F8 9.9626 Tf 184.2347 522.4122 Td[(gefree)]TJ -ET -1 0 0 1 209.4458 522.4122 cm +/F8 9.9626 Tf 184.235 522.412 Td [(gefree)]TJ 0 g 0 G -1 0 0 1 -209.4458 -522.4122 cm -BT -/F8 9.9626 Tf 215.1843 522.4122 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 522.4122 cm + [-576(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -522.4122 cm -BT -/F8 9.9626 Tf 484.4533 522.4122 Td[(80)]TJ -ET -1 0 0 1 494.4159 522.4122 cm + [-1084(80)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -510.1644 cm -BT -/F8 9.9626 Tf 165.6488 510.1644 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 510.1644 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 510.364 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -510.1644 cm BT -/F8 9.9626 Tf 184.2347 510.1644 Td[(gelp)]TJ -ET -1 0 0 1 201.9461 510.1644 cm +/F8 9.9626 Tf 184.235 510.164 Td [(gelp)]TJ 0 g 0 G -1 0 0 1 -201.9461 -510.1644 cm -BT -/F8 9.9626 Tf 207.4357 510.1644 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 510.1644 cm + [-551(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -510.1644 cm -BT -/F8 9.9626 Tf 484.4533 510.1644 Td[(81)]TJ -ET -1 0 0 1 494.4159 510.1644 cm + [-1084(81)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -497.9166 cm -BT -/F8 9.9626 Tf 165.6488 497.9166 Td[(psb)]TJ + -18.586 -12.247 Td [(psb)]TJ ET -1 0 0 1 181.2459 497.9166 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 498.116 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -497.9166 cm BT -/F8 9.9626 Tf 184.2347 497.9166 Td[(glob)]TJ +/F8 9.9626 Tf 184.235 497.917 Td [(glob)]TJ ET -1 0 0 1 203.0974 497.9166 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 203.097 498.116 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -203.0974 -497.9166 cm BT -/F8 9.9626 Tf 206.0862 497.9166 Td[(to)]TJ +/F8 9.9626 Tf 206.086 497.917 Td [(to)]TJ ET -1 0 0 1 215.5396 497.9166 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 215.54 498.116 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -215.5396 -497.9166 cm BT -/F8 9.9626 Tf 218.5284 497.9166 Td[(lo)-28(c)]TJ -ET -1 0 0 1 230.9818 497.9166 cm +/F8 9.9626 Tf 218.528 497.917 Td [(lo)-28(c)]TJ 0 g 0 G -1 0 0 1 -230.9818 -497.9166 cm -BT -/F8 9.9626 Tf 238.4301 497.9166 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 497.9166 cm + [-747(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -497.9166 cm -BT -/F8 9.9626 Tf 484.4533 497.9166 Td[(82)]TJ -ET -1 0 0 1 494.4159 497.9166 cm + [-1083(82)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -485.6688 cm -BT -/F8 9.9626 Tf 165.6488 485.6688 Td[(psb)]TJ + -52.879 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 485.6688 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 485.868 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -485.6688 cm BT -/F8 9.9626 Tf 184.2347 485.6688 Td[(lo)-28(c)]TJ +/F8 9.9626 Tf 184.235 485.669 Td [(lo)-28(c)]TJ ET -1 0 0 1 197.2858 485.6688 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 197.286 485.868 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -197.2858 -485.6688 cm BT -/F8 9.9626 Tf 200.2746 485.6688 Td[(to)]TJ +/F8 9.9626 Tf 200.275 485.669 Td [(to)]TJ ET -1 0 0 1 209.7281 485.6688 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 209.728 485.868 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -209.7281 -485.6688 cm BT -/F8 9.9626 Tf 212.7169 485.6688 Td[(glob)]TJ -ET -1 0 0 1 230.9818 485.6688 cm +/F8 9.9626 Tf 212.717 485.669 Td [(glob)]TJ 0 g 0 G -1 0 0 1 -230.9818 -485.6688 cm -BT -/F8 9.9626 Tf 238.4301 485.6688 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 485.6688 cm + [-748(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -485.6688 cm -BT -/F8 9.9626 Tf 484.4533 485.6688 Td[(84)]TJ -ET -1 0 0 1 494.4159 485.6688 cm + [-1083(84)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2477 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -473.4211 cm -BT -/F8 9.9626 Tf 165.6488 473.4211 Td[(psb)]TJ + -47.068 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 473.4211 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 473.62 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -473.4211 cm BT -/F8 9.9626 Tf 184.2347 473.4211 Td[(is)]TJ +/F8 9.9626 Tf 184.235 473.421 Td [(is)]TJ ET -1 0 0 1 191.5296 473.4211 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 191.53 473.62 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -191.5296 -473.4211 cm BT -/F8 9.9626 Tf 194.5184 473.4211 Td[(o)28(wned)]TJ -ET -1 0 0 1 221.9157 473.4211 cm +/F8 9.9626 Tf 194.518 473.421 Td [(o)28(wned)]TJ 0 g 0 G -1 0 0 1 -221.9157 -473.4211 cm -BT -/F8 9.9626 Tf 230.6815 473.4211 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ -ET -1 0 0 1 484.4533 473.4211 cm + [-880(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -473.4211 cm -BT -/F8 9.9626 Tf 484.4533 473.4211 Td[(85)]TJ -ET -1 0 0 1 494.4159 473.4211 cm + [-1084(85)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -461.1733 cm -BT -/F8 9.9626 Tf 165.6488 461.1733 Td[(psb)]TJ + -28.869 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 461.1733 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 461.373 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -461.1733 cm BT -/F8 9.9626 Tf 184.2347 461.1733 Td[(o)28(wned)]TJ +/F8 9.9626 Tf 184.235 461.173 Td [(o)28(wned)]TJ ET -1 0 0 1 212.2298 461.1733 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 212.23 461.373 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -212.2298 -461.1733 cm BT -/F8 9.9626 Tf 215.2186 461.1733 Td[(in)1(dex)]TJ -ET -1 0 0 1 238.7416 461.1733 cm +/F8 9.9626 Tf 215.219 461.173 Td [(index)]TJ 0 g 0 G -1 0 0 1 -238.7416 -461.1733 cm -BT -/F8 9.9626 Tf 246.1787 461.1733 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 461.1733 cm + [-746(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -461.1733 cm -BT -/F8 9.9626 Tf 484.4533 461.1733 Td[(86)]TJ -ET -1 0 0 1 494.4159 461.1733 cm + [-1083(86)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -448.9255 cm -BT -/F8 9.9626 Tf 165.6488 448.9255 Td[(psb)]TJ + -49.57 -12.247 Td [(psb)]TJ ET -1 0 0 1 181.2459 448.9255 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 449.125 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -448.9255 cm BT -/F8 9.9626 Tf 184.2347 448.9255 Td[(is)]TJ +/F8 9.9626 Tf 184.235 448.926 Td [(is)]TJ ET -1 0 0 1 191.5296 448.9255 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 191.53 449.125 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -191.5296 -448.9255 cm BT -/F8 9.9626 Tf 194.5184 448.9255 Td[(lo)-28(cal)]TJ -ET -1 0 0 1 214.7205 448.9255 cm +/F8 9.9626 Tf 194.518 448.926 Td [(lo)-28(cal)]TJ 0 g 0 G -1 0 0 1 -214.7205 -448.9255 cm -BT -/F8 9.9626 Tf 222.9329 448.9255 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 484.4533 448.9255 cm + [-824(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -448.9255 cm -BT -/F8 9.9626 Tf 484.4533 448.9255 Td[(87)]TJ -ET -1 0 0 1 494.4159 448.9255 cm + [-1084(87)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -436.6777 cm -BT -/F8 9.9626 Tf 165.6488 436.6777 Td[(psb)]TJ + -28.869 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 436.6777 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 436.877 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -436.6777 cm BT -/F8 9.9626 Tf 184.2347 436.6777 Td[(lo)-28(cal)]TJ +/F8 9.9626 Tf 184.235 436.678 Td [(lo)-28(cal)]TJ ET -1 0 0 1 205.0345 436.6777 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 205.035 436.877 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -205.0345 -436.6777 cm BT -/F8 9.9626 Tf 208.0234 436.6777 Td[(in)1(dex)]TJ -ET -1 0 0 1 231.5463 436.6777 cm +/F8 9.9626 Tf 208.023 436.678 Td [(index)]TJ 0 g 0 G -1 0 0 1 -231.5463 -436.6777 cm -BT -/F8 9.9626 Tf 238.4301 436.6777 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 436.6777 cm + [-691(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -436.6777 cm -BT -/F8 9.9626 Tf 484.4533 436.6777 Td[(88)]TJ -ET -1 0 0 1 494.4159 436.6777 cm + [-1084(88)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2477 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -424.43 cm -BT -/F8 9.9626 Tf 165.6488 424.43 Td[(psb)]TJ + -42.374 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 424.43 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 424.629 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -424.43 cm BT -/F8 9.9626 Tf 184.2347 424.43 Td[(get)]TJ +/F8 9.9626 Tf 184.235 424.43 Td [(get)]TJ ET -1 0 0 1 198.116 424.43 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 198.116 424.629 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -198.116 -424.43 cm BT -/F8 9.9626 Tf 201.1048 424.43 Td[(b)-27(oun)1(dary)]TJ -ET -1 0 0 1 242.6436 424.43 cm +/F8 9.9626 Tf 201.105 424.43 Td [(b)-28(oundary)]TJ 0 g 0 G -1 0 0 1 -242.6436 -424.43 cm -BT -/F8 9.9626 Tf 246.1787 424.43 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 424.43 cm + [-354(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -424.43 cm -BT -/F8 9.9626 Tf 484.4533 424.43 Td[(89)]TJ -ET -1 0 0 1 494.4159 424.43 cm + [-1083(89)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -412.1822 cm -BT -/F8 9.9626 Tf 165.6488 412.1822 Td[(psb)]TJ + -35.456 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 412.1822 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 412.381 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -412.1822 cm BT -/F8 9.9626 Tf 184.2347 412.1822 Td[(get)]TJ +/F8 9.9626 Tf 184.235 412.182 Td [(get)]TJ ET -1 0 0 1 198.116 412.1822 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 198.116 412.381 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -198.116 -412.1822 cm BT -/F8 9.9626 Tf 201.1048 412.1822 Td[(o)28(v)28(e)-1(r)1(lap)]TJ -ET -1 0 0 1 232.4042 412.1822 cm +/F8 9.9626 Tf 201.105 412.182 Td [(o)28(v)28(erlap)]TJ 0 g 0 G -1 0 0 1 -232.4042 -412.1822 cm -BT -/F8 9.9626 Tf 238.4301 412.1822 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 412.1822 cm + [-605(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -412.1822 cm -BT -/F8 9.9626 Tf 484.4533 412.1822 Td[(90)]TJ -ET -1 0 0 1 494.4159 412.1822 cm + [-1084(90)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -399.9344 cm -BT -/F8 9.9626 Tf 165.6488 399.9344 Td[(psb)]TJ + -35.456 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 399.9344 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 400.134 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -399.9344 cm BT -/F8 9.9626 Tf 184.2347 399.9344 Td[(sp)]TJ +/F8 9.9626 Tf 184.235 399.934 Td [(sp)]TJ ET -1 0 0 1 194.297 399.9344 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 194.297 400.134 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -194.297 -399.9344 cm BT -/F8 9.9626 Tf 197.2858 399.9344 Td[(getro)28(w)]TJ -ET -1 0 0 1 226.3712 399.9344 cm +/F8 9.9626 Tf 197.286 399.934 Td [(getro)28(w)]TJ 0 g 0 G -1 0 0 1 -226.3712 -399.9344 cm -BT -/F8 9.9626 Tf 230.6815 399.9344 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ -ET -1 0 0 1 484.4533 399.9344 cm + [-433(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -399.9344 cm -BT -/F8 9.9626 Tf 484.4533 399.9344 Td[(91)]TJ -ET -1 0 0 1 494.4159 399.9344 cm + [-1084(91)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -387.6866 cm -BT -/F8 9.9626 Tf 165.6488 387.6866 Td[(psb)]TJ + -31.637 -12.247 Td [(psb)]TJ ET -1 0 0 1 181.2459 387.6866 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 387.886 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -387.6866 cm BT -/F8 9.9626 Tf 184.2347 387.6866 Td[(siz)-1(eof)]TJ -ET -1 0 0 1 207.813 387.6866 cm +/F8 9.9626 Tf 184.235 387.687 Td [(sizeof)]TJ 0 g 0 G -1 0 0 1 -207.813 -387.6866 cm -BT -/F8 9.9626 Tf 215.1843 387.6866 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 387.6866 cm + [-740(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -387.6866 cm -BT -/F8 9.9626 Tf 484.4533 387.6866 Td[(93)]TJ -ET -1 0 0 1 494.4159 387.6866 cm + [-1084(93)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2477 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -375.4389 cm -BT -/F8 9.9626 Tf 165.6488 375.4389 Td[(Sor)1(tin)1(g)-334(u)1(tilit)1(ie)-1(s)]TJ -ET -1 0 0 1 233.2566 375.4389 cm + -18.586 -12.248 Td [(Sorting)-333(utilities)]TJ 0 g 0 G -1 0 0 1 -233.2566 -375.4389 cm -BT -/F8 9.9626 Tf 238.4301 375.4389 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 375.4389 cm + [-519(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -375.4389 cm -BT -/F8 9.9626 Tf 484.4533 375.4389 Td[(94)]TJ -ET -1 0 0 1 494.4159 375.4389 cm + [-1083(94)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -363.1911 cm -BT -/F8 9.9626 Tf 165.6488 363.1911 Td[(psb)]TJ + 0 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 363.1911 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 363.39 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -363.1911 cm BT -/F8 9.9626 Tf 184.2347 363.1911 Td[(ms)-1(or)1(t)]TJ -ET -1 0 0 1 209.2244 363.1911 cm +/F8 9.9626 Tf 184.235 363.191 Td [(msort)]TJ 0 g 0 G -1 0 0 1 -209.2244 -363.1911 cm -BT -/F8 9.9626 Tf 215.1843 363.1911 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 363.1911 cm + [-598(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -363.1911 cm -BT -/F8 9.9626 Tf 484.4533 363.1911 Td[(94)]TJ -ET -1 0 0 1 494.4159 363.1911 cm + [-1084(94)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -350.9433 cm -BT -/F8 9.9626 Tf 165.6488 350.9433 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 350.9433 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 351.143 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -350.9433 cm BT -/F8 9.9626 Tf 184.2347 350.9433 Td[(qsort)]TJ -ET -1 0 0 1 206.1803 350.9433 cm +/F8 9.9626 Tf 184.235 350.943 Td [(qsort)]TJ 0 g 0 G -1 0 0 1 -206.1803 -350.9433 cm -BT -/F8 9.9626 Tf 215.1843 350.9433 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 350.9433 cm + [-904(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -350.9433 cm -BT -/F8 9.9626 Tf 484.4533 350.9433 Td[(94)]TJ -ET -1 0 0 1 494.4159 350.9433 cm + [-1084(94)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -338.6955 cm -BT -/F8 9.9626 Tf 165.6488 338.6955 Td[(psb)]TJ + -18.586 -12.247 Td [(psb)]TJ ET -1 0 0 1 181.2459 338.6955 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 338.895 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -338.6955 cm BT -/F8 9.9626 Tf 184.2347 338.6955 Td[(hsort)]TJ -ET -1 0 0 1 206.457 338.6955 cm +/F8 9.9626 Tf 184.235 338.696 Td [(hsort)]TJ 0 g 0 G -1 0 0 1 -206.457 -338.6955 cm -BT -/F8 9.9626 Tf 215.1843 338.6955 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 338.6955 cm + [-876(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -338.6955 cm -BT -/F8 9.9626 Tf 484.4533 338.6955 Td[(94)]TJ -ET -1 0 0 1 494.4159 338.6955 cm + [-1084(94)]TJ 0 g 0 G -1 0 0 1 -343.7111 -22.4055 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -150.7048 -316.29 cm -BT -/F29 9.9626 Tf 150.7048 316.29 Td[(7)-925(P)32(arall)-1(el)-384(en)32(viron)1(m)-1(en)32(t)-383(routi)-1(n)1(e)-1(s)]TJ -ET -1 0 0 1 314.6808 316.29 cm +/F27 9.9626 Tf -33.53 -22.406 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ 0 g 0 G -1 0 0 1 -314.6808 -316.29 cm -BT -/F29 9.9626 Tf 482.959 316.29 Td[(96)]TJ -ET -1 0 0 1 165.6488 304.0422 cm + [-16891(96)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -304.0422 cm -BT -/F8 9.9626 Tf 165.6488 304.0422 Td[(psb)]TJ +/F8 9.9626 Tf 14.944 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 304.0422 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 304.242 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -304.0422 cm BT -/F8 9.9626 Tf 184.2347 304.0422 Td[(in)1(it)]TJ -ET -1 0 0 1 199.1787 304.0422 cm +/F8 9.9626 Tf 184.235 304.042 Td [(init)]TJ 0 g 0 G -1 0 0 1 -199.1787 -304.0422 cm -BT -/F8 9.9626 Tf 207.4357 304.0422 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 304.0422 cm + [-829(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -304.0422 cm -BT -/F8 9.9626 Tf 484.4533 304.0422 Td[(97)]TJ -ET -1 0 0 1 494.4159 304.0422 cm + [-1083(97)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -291.7945 cm -BT -/F8 9.9626 Tf 165.6488 291.7945 Td[(psb)]TJ + -18.586 -12.247 Td [(psb)]TJ ET -1 0 0 1 181.2459 291.7945 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 291.994 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -291.7945 cm BT -/F8 9.9626 Tf 184.2347 291.7945 Td[(in)1(fo)]TJ -ET -1 0 0 1 200.5625 291.7945 cm +/F8 9.9626 Tf 184.235 291.795 Td [(info)]TJ 0 g 0 G -1 0 0 1 -200.5625 -291.7945 cm -BT -/F8 9.9626 Tf 207.4357 291.7945 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 291.7945 cm + [-690(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -291.7945 cm -BT -/F8 9.9626 Tf 484.4533 291.7945 Td[(98)]TJ -ET -1 0 0 1 494.4159 291.7945 cm + [-1084(98)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -279.5467 cm -BT -/F8 9.9626 Tf 165.6488 279.5467 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 279.5467 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 279.746 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -279.5467 cm BT -/F8 9.9626 Tf 184.2347 279.5467 Td[(exit)]TJ -ET -1 0 0 1 200.5624 279.5467 cm +/F8 9.9626 Tf 184.235 279.547 Td [(exit)]TJ 0 g 0 G -1 0 0 1 -200.5624 -279.5467 cm -BT -/F8 9.9626 Tf 207.4357 279.5467 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ -ET -1 0 0 1 484.4533 279.5467 cm + [-690(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -484.4533 -279.5467 cm -BT -/F8 9.9626 Tf 484.4533 279.5467 Td[(99)]TJ -ET -1 0 0 1 494.4159 279.5467 cm + [-1084(99)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -267.2989 cm -BT -/F8 9.9626 Tf 165.6488 267.2989 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 267.2989 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 267.498 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -267.2989 cm BT -/F8 9.9626 Tf 184.2347 267.2989 Td[(get)]TJ +/F8 9.9626 Tf 184.235 267.299 Td [(get)]TJ ET -1 0 0 1 198.116 267.2989 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 198.116 267.498 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -198.116 -267.2989 cm BT -/F8 9.9626 Tf 201.1048 267.2989 Td[(mpicomm)]TJ -ET -1 0 0 1 243.7229 267.2989 cm +/F8 9.9626 Tf 201.105 267.299 Td [(mpicomm)]TJ 0 g 0 G -1 0 0 1 -243.7229 -267.2989 cm -BT -/F8 9.9626 Tf 253.9274 267.2989 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 479.4719 267.2989 cm + [-1024(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -479.4719 -267.2989 cm -BT -/F8 9.9626 Tf 479.4719 267.2989 Td[(100)]TJ -ET -1 0 0 1 494.4159 267.2989 cm + [-583(100)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -255.0511 cm -BT -/F8 9.9626 Tf 165.6488 255.0511 Td[(psb)]TJ + -35.456 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 255.0511 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 255.25 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -255.0511 cm BT -/F8 9.9626 Tf 184.2347 255.0511 Td[(get)]TJ +/F8 9.9626 Tf 184.235 255.051 Td [(get)]TJ ET -1 0 0 1 198.116 255.0511 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 198.116 255.25 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -198.116 -255.0511 cm BT -/F8 9.9626 Tf 201.1048 255.0511 Td[(ran)1(k)]TJ -ET -1 0 0 1 220.7811 255.0511 cm +/F8 9.9626 Tf 201.105 255.051 Td [(rank)]TJ 0 g 0 G -1 0 0 1 -220.7811 -255.0511 cm -BT -/F8 9.9626 Tf 230.6815 255.0511 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ -ET -1 0 0 1 479.4719 255.0511 cm + [-994(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -479.4719 -255.0511 cm -BT -/F8 9.9626 Tf 479.4719 255.0511 Td[(101)]TJ -ET -1 0 0 1 494.4159 255.0511 cm + [-583(101)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2477 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -242.8034 cm -BT -/F8 9.9626 Tf 165.6488 242.8034 Td[(psb)]TJ + -35.456 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 242.8034 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 243.003 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -242.8034 cm BT -/F8 9.9626 Tf 184.2347 242.8034 Td[(wtime)]TJ -ET -1 0 0 1 210.8018 242.8034 cm +/F8 9.9626 Tf 184.235 242.803 Td [(wtime)]TJ 0 g 0 G -1 0 0 1 -210.8018 -242.8034 cm -BT -/F8 9.9626 Tf 215.1843 242.8034 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 479.4719 242.8034 cm + [-440(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -479.4719 -242.8034 cm -BT -/F8 9.9626 Tf 479.4719 242.8034 Td[(102)]TJ -ET -1 0 0 1 494.4159 242.8034 cm + [-584(102)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -230.5556 cm -BT -/F8 9.9626 Tf 165.6488 230.5556 Td[(psb)]TJ + -18.586 -12.247 Td [(psb)]TJ ET -1 0 0 1 181.2459 230.5556 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 230.755 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -230.5556 cm BT -/F8 9.9626 Tf 184.2347 230.5556 Td[(bar)1(rier)]TJ -ET -1 0 0 1 213.6522 230.5556 cm +/F8 9.9626 Tf 184.235 230.556 Td [(barrier)]TJ 0 g 0 G -1 0 0 1 -213.6522 -230.5556 cm -BT -/F8 9.9626 Tf 222.9329 230.5556 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 479.4719 230.5556 cm + [-931(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -479.4719 -230.5556 cm -BT -/F8 9.9626 Tf 479.4719 230.5556 Td[(103)]TJ -ET -1 0 0 1 494.4159 230.5556 cm + [-584(103)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -218.3078 cm -BT -/F8 9.9626 Tf 165.6488 218.3078 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 218.3078 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 218.507 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -218.3078 cm BT -/F8 9.9626 Tf 184.2347 218.3078 Td[(ab)-27(ort)]TJ -ET -1 0 0 1 207.7854 218.3078 cm +/F8 9.9626 Tf 184.235 218.308 Td [(ab)-28(ort)]TJ 0 g 0 G -1 0 0 1 -207.7854 -218.3078 cm -BT -/F8 9.9626 Tf 215.1843 218.3078 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 479.4719 218.3078 cm + [-742(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G -1 0 0 1 -479.4719 -218.3078 cm -BT -/F8 9.9626 Tf 479.4719 218.3078 Td[(104)]TJ -ET -1 0 0 1 494.4159 218.3078 cm + [-584(104)]TJ 0 g 0 G -1 0 0 1 -328.7671 -12.2478 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -206.06 cm -BT -/F8 9.9626 Tf 165.6488 206.06 Td[(psb)]TJ + -18.586 -12.248 Td [(psb)]TJ ET -1 0 0 1 181.2459 206.06 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.246 206.259 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2459 -206.06 cm BT -/F8 9.9626 Tf 184.2347 206.06 Td[(b)-27(c)-1(ast)]TJ -ET -1 0 0 1 207.2596 206.06 cm +/F8 9.9626 Tf 184.235 206.06 Td [(b)-28(cast)]TJ 0 g 0 G -1 0 0 1 -207.2596 -206.06 cm -BT -/F8 9.9626 Tf 215.1843 206.06 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 479.4719 206.06 cm + 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Td[(Figu)1(re)-334(2:)-444(P)28(oi)1(n)28(t)-333(c)-1(lass\014cation.)]TJ -ET -1 0 0 1 385.173 315.3834 cm +/F8 9.9626 Tf 259.948 315.383 Td [(Figure)-333(2:)-445(P)28(oin)28(t)-333(class\014cation.)]TJ 0 g 0 G -1 0 0 1 -234.4681 -1.9372 cm 0 g 0 G -1 0 0 1 -150.7049 -313.4462 cm -BT -/F8 9.9626 Tf 165.6489 292.2755 Td[(This)-267(class)-1(i\014)1(c)-1(at)1(ion)-266(of)-267(mes)-1(h)-266(p)-27(oin)28(ts)-267(gui)1(des)-267(the)-267(namin)1(g)-267(sc)27(heme)-268(t)1(hat)-267(w)28(e)-267(adop)1(te)-1(d)]TJ -14.944 -11.9552 Td[(in)-473(the)-474(lib)1(rary)-473(in)28(ternal)1(s)-475(an)1(d)-474(in)-473(the)-474(data)-474(stru)1(c)-1(tu)1(res)-1(.)-866(W)84(e)-475(expl)1(ic)-1(i)1(tly)-474(n)1(ote)-475(th)1(at)]TJ 0 -11.9551 Td[(\134Halo")-333(p)-27(oin)28(ts)-334(ar)1(e)-334(also)-334(of)1(te)-1(n)-333(called)-333(\134gh)1(os)-1(t")-333(p)-27(oin)28(ts)-334(i)1(n)-333(the)-334(l)1(iteratur)1(e)-1(.)]TJ/F18 11.9552 Tf 0 -27.7813 Td[(2.)-1(2)-1125(Li)-1(brar)-1(y)-375(con)31(te)-1(n)32(t)-1(s)]TJ/F8 9.9626 Tf 0 -18.3894 Td[(The)-334(P)1(SBLAS)-333(li)1(brar)1(y)-333(c)-1(onsists)-334(of)-333(v)56(ari)1(ous)-334(class)-1(es)-334(of)-333(subr)1(outi)1(nes)-1(:)]TJ -ET -1 0 0 1 145.7236 202.7671 cm + -94.299 -23.107 Td [(This)-267(classi\014cation)-266(of)-267(mesh)-267(p)-27(oin)27(ts)-266(guides)-267(the)-267(naming)-266(sc)27(heme)-266(that)-267(w)28(e)-267(adopted)]TJ -14.944 -11.956 Td [(in)-474(the)-474(library)-474(in)28(ternals)-474(and)-474(in)-474(the)-474(data)-474(structures.)-866(W)83(e)-474(explicitly)-474(note)-474(that)]TJ 0 -11.955 Td [(\134Halo")-333(p)-28(oin)28(ts)-334(are)-333(also)-333(often)-334(called)-333(\134ghost")-333(p)-28(oin)28(ts)-334(in)-333(the)-333(literature.)]TJ/F16 11.9552 Tf 0 -27.781 Td [(2.2)-1125(Library)-375(con)31(ten)31(ts)]TJ/F8 9.9626 Tf 0 -18.389 Td 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-573.8369 cm -BT -/F8 9.9626 Tf 129.0084 573.8369 Td[(\050a\051)]TJ -ET -1 0 0 1 141.7385 573.8369 cm + 16.936 -20.056 Td [(\050a\051)]TJ 0 g 0 G -1 0 0 1 -141.7385 -573.8369 cm -BT -/F8 9.9626 Tf 146.7198 573.8369 Td[(If)-339(after)-339(\014rst)-340(t)1(im)-1(e)-340(step,)-341(r)1(e)-1(in)1(itial)1(iz)-1(e)-340(th)1(e)-340(s)-1(p)1(arse)-340(m)-1(atr)1(ix)-339(w)-1(i)1(th)]TJ/F32 9.9626 Tf 252.2765 0 Td[(psb_sprn)]TJ/F8 9.9626 Tf 41.8428 0 Td[(;)]TJ -294.1193 -11.9552 Td[(also)-334(zero)-333(out)-333(the)-333(dense)-334(v)28(e)-1(ctors;)]TJ -ET -1 0 0 1 124.802 545.8761 cm + [-500(If)-340(after)-339(\014rst)-340(time)-339(step,)-341(reinitialize)-340(the)-339(s)-1(p)1(a)-1(r)1(s)-1(e)-339(matrix)-340(with)]TJ/F30 9.9626 Tf 269.988 0 Td [(psb_sprn)]TJ/F8 9.9626 Tf 41.843 0 Td [(;)]TJ -294.119 -11.955 Td [(also)-333(zero)-334(out)-333(the)-333(dense)-334(v)28(ectors;)]TJ 0 g 0 G -1 0 0 1 -124.802 -545.8761 cm -BT -/F8 9.9626 Tf 128.455 545.8761 Td[(\050b)1(\051)]TJ -ET -1 0 0 1 141.7385 545.8761 cm + -18.265 -16.006 Td [(\050b\051)]TJ 0 g 0 G -1 0 0 1 -141.7385 -545.8761 cm -BT -/F8 9.9626 Tf 146.7198 545.8761 Td[(Lo)-28(op)-252(o)28(v)28(e)-1(r)-252(th)1(e)-253(me)-1(sh,)-268(ge)-1(n)1(e)-1(rat)1(e)-253(the)-253(co)-28(e\016)-1(cien)28(ts)-253(and)-252(in)1(s)-1(ert/u)1(p)-27(date)-253(th)1(e)-1(m)]TJ 0 -11.9552 Td[(with)]TJ/F32 9.9626 Tf 22.6927 0 Td[(psb_spins)]TJ/F8 9.9626 Tf 50.394 0 Td[(and)]TJ/F32 9.9626 Tf 19.3718 0 Td[(psb_geins)]TJ -ET -1 0 0 1 124.802 517.9153 cm + [-500(Lo)-28(op)-252(o)28(v)27(er)-252(the)-253(mesh,)-268(generate)-253(the)-253(co)-27(e\016cie)-1(n)28(ts)-252(and)-253(insert/up)-27(date)-253(them)]TJ 18.265 -11.955 Td [(with)]TJ/F30 9.9626 Tf 22.693 0 Td [(psb_spins)]TJ/F8 9.9626 Tf 50.394 0 Td [(and)]TJ/F30 9.9626 Tf 19.371 0 Td [(psb_geins)]TJ 0 g 0 G -1 0 0 1 -124.802 -517.9153 cm -BT -/F8 9.9626 Tf 129.5619 517.9153 Td[(\050c\051)]TJ -ET -1 0 0 1 141.7385 517.9153 cm +/F8 9.9626 Tf -109.616 -16.006 Td [(\050c\051)]TJ 0 g 0 G -1 0 0 1 -141.7385 -517.9153 cm -BT -/F8 9.9626 Tf 146.7198 517.9153 Td[(Ass)-1(em)27(b)1(le)-334(with)]TJ/F32 9.9626 Tf 66.5284 0 Td[(psb_spasb)]TJ/F8 9.9626 Tf 50.3939 0 Td[(and)]TJ/F32 9.9626 Tf 19.3719 0 Td[(psb_geasb)]TJ -ET -1 0 0 1 124.802 501.9096 cm + [-500(Assem)28(ble)-334(with)]TJ/F30 9.9626 Tf 83.686 0 Td [(psb_spasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(and)]TJ/F30 9.9626 Tf 19.372 0 Td [(psb_geasb)]TJ 0 g 0 G -1 0 0 1 -124.802 -501.9096 cm -BT -/F8 9.9626 Tf 128.455 501.9096 Td[(\050d)1(\051)]TJ -ET -1 0 0 1 141.7385 501.9096 cm +/F8 9.9626 Tf -154.559 -16.005 Td [(\050d\051)]TJ 0 g 0 G -1 0 0 1 -141.7385 -501.9096 cm -BT -/F8 9.9626 Tf 146.7198 501.9096 Td[(Cho)-28(ose)-223(an)1(d)-222(bu)1(ild)-221(prec)-1(on)1(dit)1(ioner)-222(with)]TJ/F32 9.9626 Tf 162.5574 0 Td[(psb_precset)]TJ/F8 9.9626 Tf 59.7477 0 Td[(and)]TJ/F32 9.9626 Tf 18.2649 0 Td[(psb_precbld)]TJ -ET -1 0 0 1 124.802 485.904 cm + [-500(Cho)-28(ose)-222(and)-222(build)-222(preconditioner)-222(with)]TJ/F30 9.9626 Tf 180.822 0 Td [(psb_precset)]TJ/F8 9.9626 Tf 59.748 0 Td [(and)]TJ/F30 9.9626 Tf 18.265 0 Td [(psb_precbld)]TJ 0 g 0 G -1 0 0 1 -124.802 -485.904 cm -BT -/F8 9.9626 Tf 129.5619 485.904 Td[(\050e\051)]TJ -ET -1 0 0 1 141.7385 485.904 cm +/F8 9.9626 Tf -257.728 -16.006 Td [(\050e\051)]TJ 0 g 0 G -1 0 0 1 -141.7385 -485.904 cm -BT -/F8 9.9626 Tf 146.7198 485.904 Td[(Call)-333(the)-333(iterativ)28(e)-334(metho)-28(d)-333(of)-332(c)27(hoi)1(c)-1(e,)-333(e)-1(.g.)]TJ/F32 9.9626 Tf 176.8649 0 Td[(psb_bicgstab)]TJ/F8 9.9626 Tf -223.6893 -20.0561 Td[(The)-370(insertion)-369(rou)1(tines)-371(wil)1(l)-370(b)-27(e)-371(called)-370(as)-370(m)-1(an)29(y)-370(time)-1(s)-370(as)-370(nee)-1(d)1(e)-1(d)1(;)-388(they)-370(onl)1(y)-370(nee)-1(d)]TJ 0 -11.9552 Td[(to)-404(b)-27(e)-404(c)-1(al)1(le)-1(d)-403(on)-403(the)-404(d)1(ata)-404(th)1(at)-404(is)-404(actual)1(ly)-404(all)1(o)-28(c)-1(at)1(e)-1(d)-403(to)-404(th)1(e)-404(c)-1(u)1(rren)28(t)-403(pro)-27(c)-1(es)-1(s,)-421(i.e.)]TJ 0 -11.9552 Td[(eac)27(h)-333(pr)1(o)-28(ce)-1(ss)-334(ge)-1(n)1(e)-1(r)1(ate)-1(s)-333(its)-334(o)28(wn)-333(data.)]TJ 14.944 -11.9878 Td[(In)-326(pr)1(incip)1(le)-327(th)1(e)-1(r)1(e)-327(is)-327(n)1(o)-326(s)-1(p)-27(e)-1(ci\014)1(c)-327(ord)1(e)-1(r)-326(in)-325(the)-327(calls)-326(to)]TJ/F32 9.9626 Tf 225.8783 0 Td[(psb_spins)]TJ/F8 9.9626 Tf 47.0731 0 Td[(,)-327(nor)-326(is)-327(t)1(here)]TJ -287.8954 -11.9552 Td[(a)-393(requir)1(e)-1(me)-1(n)29(t)-394(t)1(o)-394(b)1(uil)1(d)-393(a)-394(matri)1(x)-394(r)1(o)27(w)-393(in)-393(its)-393(e)-1(n)28(t)1(iret)28(y)-394(b)-27(efore)-393(c)-1(all)1(ing)-393(the)-393(routi)1(ne;)]TJ 0 -11.9552 Td[(th)1(is)-289(all)1(o)27(ws)-288(the)-288(app)1(lication)-288(p)1(rogr)1(am)-1(me)-1(r)-287(to)-288(w)27(alk)-287(thr)1(ough)-288(th)1(e)-289(d)1(isc)-1(r)1(e)-1(tization)-287(m)-1(es)-1(h)]TJ 0 -11.9551 Td[(ele)-1(men)28(t)-401(b)28(y)-401(e)-1(l)1(e)-1(me)-1(n)29(t,)-418(ge)-1(n)1(e)-1(r)1(ating)-401(th)1(e)-402(main)-401(par)1(t)-401(of)-401(a)-401(giv)28(e)-1(n)-401(matr)1(ix)-401(ro)28(w)-402(b)1(ut)-401(also)]TJ 0 -11.9552 Td[(con)28(trib)1(uti)1(ons)-334(to)-333(th)1(e)-334(ro)28(ws)-334(co)-1(r)1(res)-1(p)-27(ond)1(ing)-333(to)-333(neigh)28(b)-27(our)1(ing)-333(ele)-1(men)28(ts.)]TJ 14.944 -11.9879 Td[(F)84(rom)-411(a)-410(f)1(un)1(c)-1(ti)1(onal)-410(p)-27(oin)28(t)-410(of)-410(v)1(ie)-1(w)-410(it)-410(i)1(s)-411(ev)28(e)-1(n)-410(p)-27(oss)-1(ib)1(le)-410(to)-411(exec)-1(u)1(te)-411(on)1(e)-411(call)-410(f)1(or)]TJ -14.944 -11.9552 Td[(eac)27(h)-372(n)1(onze)-1(r)1(o)-372(c)-1(o)-27(e)-1(\016c)-1(i)1(e)-1(n)28(t;)-391(h)1(o)28(w)27(ev)28(e)-1(r)-371(this)-372(w)28(ould)-371(ha)28(v)28(e)-372(a)-372(s)-1(u)1(bstan)28(tial)-371(c)-1(ompu)1(tation)1(al)]TJ 0 -11.9551 Td[(o)28(v)28(e)-1(r)1(head.)-412(It)-235(is)-237(t)1(here)-1(f)1(ore)-236(adv)1(is)-1(ab)1(le)-236(to)-236(pac)28(k)-236(a)-236(ce)-1(r)1(tain)-235(am)-1(ou)1(n)28(t)-236(of)-235(dat)1(a)-236(in)28(to)-236(eac)27(h)-235(c)-1(al)1(l)]TJ 0 -11.9552 Td[(to)-307(the)-308(in)1(s)-1(erti)1(on)-308(r)1(outi)1(ne,)-313(sa)27(y)-307(tou)1(c)27(hi)1(ng)-308(on)-307(a)-307(few)-308(tens)-308(of)-307(ro)28(ws)-1(;)-315(the)-308(b)-27(e)-1(st)-308(p)-27(erfor)1(m)-1(n)1(g)]TJ 0 -11.9552 Td[(v)56(alue)-385(w)27(ou)1(ld)-385(dep)-28(end)-385(on)-384(b)-28(oth)-385(th)1(e)-386(arc)28(hitecture)-385(of)-385(the)-386(computer)-385(b)-27(e)-1(in)1(g)-386(u)1(s)-1(ed)-385(and)]TJ 0 -11.9551 Td[(on)-449(the)-450(pr)1(oblem)-451(stru)1(c)-1(t)1(ure.)-794(A)28(t)-450(th)1(e)-451(op)1(p)-28(osite)-450(e)-1(x)1(trem)-1(e,)-479(it)-450(w)28(oul)1(d)-450(b)-27(e)-451(p)-27(oss)-1(ib)1(le)-450(to)]TJ 0 -11.9552 Td[(generate)-311(th)1(e)-311(en)28(tire)-310(part)-310(of)-310(a)-310(co)-28(e)-1(\016cie)-1(n)29(t)-311(matri)1(x)-310(re)-1(sid)1(ing)-310(on)-310(a)-310(pr)1(o)-28(c)-1(ess)-311(and)-310(p)1(as)-1(s)-310(it)]TJ 0 -11.9552 Td[(in)-308(a)-310(sin)1(gle)-310(call)-309(to)]TJ/F32 9.9626 Tf 76.8891 0 Td[(psb_spins)]TJ/F8 9.9626 Tf 47.0731 0 Td[(;)-317(th)1(is)-1(,)-313(ho)28(w)27(ev)28(er,)-314(w)28(ould)-308(e)-1(n)28(t)1(ail)-309(a)-309(dou)1(bli)1(ng)-309(of)-309(me)-1(mory)]TJ -123.9622 -11.9551 Td[(o)-28(cc)-1(u)1(pati)1(on,)-333(and)-333(t)1(h)28(us)-334(w)28(oul)1(d)-333(b)-28(e)-333(alm)-1(ost)-333(alw)28(a)27(y)1(s)-334(far)-333(f)1(rom)-334(op)1(timal.)]TJ/F18 11.9552 Tf 0 -28.062 Td[(2.)-1(4)-1125(Pro)-1(gr)-1(amm)-1(ing)-376(mo)-32(del)]TJ/F8 9.9626 Tf 0 -18.4502 Td[(The)-325(PS)1(BLAS)-325(li)1(brar)1(ary)-324(is)-325(base)-1(d)-324(on)-324(the)-325(Si)1(ngle)-325(P)1(rogram)-325(Mu)1(ltip)1(le)-325(Data)-325(\050S)1(PM)1(D\051)]TJ 0 -11.9552 Td[(pr)1(ogramm)-1(i)1(ng)-413(mo)-28(del:)-603(e)-1(ac)28(h)-413(p)1(ro)-28(ce)-1(ss)-414(p)1(articip)1(ating)-413(i)1(n)-413(th)1(e)-414(comput)1(ation)-413(p)-27(erfor)1(m)-1(s)]TJ 0 -11.9552 Td[(th)1(e)-334(s)-1(ame)-334(action)1(s)-334(on)-333(a)-333(c)27(h)28(u)1(nk)-333(of)-333(data.)-444(P)28(ar)1(allelism)-334(is)-333(th)28(us)-333(data-dr)1(iv)28(e)-1(n)1(.)]TJ 14.944 -11.9878 Td[(Be)-1(cause)-390(of)-388(th)1(is)-390(stru)1(c)-1(t)1(ure,)-403(man)28(y)-388(s)-1(u)1(brou)1(tines)-389(c)-1(o)-28(or)1(din)1(ate)-389(their)-389(action)-388(ac)-1(r)1(os)-1(s)]TJ -14.944 -11.9552 Td[(th)1(e)-479(v)56(ari)1(ous)-478(pr)1(o)-28(c)-1(ess)-1(es)-1(,)-513(th)28(us)-478(p)1(ro)28(vid)1(ing)-478(an)-477(impl)1(ic)-1(i)1(t)-478(s)-1(y)1(nc)27(h)1(ron)1(iz)-1(at)1(ion)-478(p)-27(oin)29(t,)-514(and)]TJ 0 -11.9552 Td[(th)1(e)-1(refor)1(e)]TJ/F19 9.9626 Tf 43.026 0 Td[(mu)1(st)]TJ/F8 9.9626 Tf 26.326 0 Td[(b)-27(e)-453(called)-452(sim)27(u)1(ltaneously)-452(b)29(y)-452(all)-452(p)1(ro)-28(ce)-1(ss)-1(es)-453(p)1(arti)1(c)-1(ip)1(ating)-452(i)1(n)-452(th)1(e)]TJ -69.352 -11.9551 Td[(com)-1(p)1(utati)1(on.)-597(Thi)1(s)-385(is)-384(c)-1(ertain)1(ly)-384(tru)1(e)-385(f)1(or)-384(the)-384(data)-384(all)1(o)-28(c)-1(ati)1(on)-384(and)-383(as)-1(se)-1(m)28(bly)-384(r)1(ou-)]TJ 0 -11.9552 Td[(tin)1(e)-1(s,)-333(for)-333(all)-333(th)1(e)-334(com)-1(p)1(utati)1(onal)-333(rou)1(tines)-334(an)1(d)-333(for)-333(som)-1(e)-333(of)-333(the)-333(to)-28(ols)-334(r)1(outin)1(e)-1(s.)]TJ 14.944 -11.9879 Td[(Ho)28(w)27(ev)28(e)-1(r)-489(there)-491(ar)1(e)-491(man)28(y)-490(c)-1(ase)-1(s)-490(where)-491(n)1(o)-491(syn)1(c)27(hr)1(onization)1(,)-530(an)1(d)-490(in)1(dee)-1(d)-490(n)1(o)]TJ -14.944 -11.9552 Td[(com)-1(m)28(un)1(ic)-1(ati)1(on)-458(am)-1(on)1(g)-458(pro)-27(c)-1(es)-1(se)-1(s,)-490(i)1(s)-459(impli)1(e)-1(d)1(;)-521(f)1(or)-458(instance)-1(,)-489(all)-458(th)1(e)-459(rou)1(tines)-459(in)]TJ -ET -1 0 0 1 99.8954 90.4377 cm + [-500(Call)-333(the)-334(iterativ)28(e)-333(metho)-28(d)-333(of)-334(c)28(hoice,)-333(e.g.)]TJ/F30 9.9626 Tf 194.023 0 Td [(psb_bicgstab)]TJ/F8 9.9626 Tf -223.69 -20.056 Td [(The)-370(insertion)-370(routines)-370(will)-370(b)-27(e)-370(c)-1(all)1(e)-1(d)-369(as)-370(man)27(y)-370(times)-370(as)-370(needed;)-388(they)-370(only)-370(need)]TJ 0 -11.955 Td [(to)-404(b)-27(e)-404(called)-404(on)-404(the)-403(data)-404(that)-404(is)-403(actually)-404(allo)-28(cated)-403(to)-404(the)-404(curren)28(t)-404(pro)-27(ce)-1(ss,)-421(i.e.)]TJ 0 -11.955 Td [(eac)28(h)-334(pro)-27(cess)-334(generates)-333(its)-334(o)28(wn)-333(data.)]TJ 14.944 -11.988 Td [(In)-326(principle)-326(there)-327(is)-326(no)-326(sp)-28(eci\014c)-326(order)-327(in)-326(the)-326(calls)-327(to)]TJ/F30 9.9626 Tf 225.879 0 Td [(psb_spins)]TJ/F8 9.9626 Tf 47.073 0 Td [(,)-328(nor)-326(is)-326(there)]TJ -287.896 -11.956 Td [(a)-393(requiremen)27(t)-393(to)-393(build)-394(a)-393(matrix)-393(ro)28(w)-394(in)-393(its)-394(en)28(tiret)28(y)-393(b)-28(efore)-393(c)-1(alli)1(ng)-394(the)-393(routine;)]TJ 0 -11.955 Td [(this)-288(allo)28(ws)-288(the)-288(application)-288(programmer)-288(to)-288(w)27(alk)-288(through)-288(the)-288(discretization)-288(mesh)]TJ 0 -11.955 Td [(elemen)28(t)-402(b)28(y)-401(elemen)28(t,)-419(generating)-401(the)-401(main)-401(part)-401(of)-402(a)-401(giv)28(en)-401(matrix)-402(ro)28(w)-401(but)-401(also)]TJ 0 -11.955 Td [(con)28(tributions)-333(to)-334(the)-333(ro)28(ws)-334(corresp)-28(on)1(ding)-334(to)-333(neigh)28(b)-28(ouring)-333(elemen)28(ts)-1(.)]TJ 14.944 -11.988 Td [(F)83(rom)-410(a)-410(functional)-410(p)-28(oin)28(t)-410(of)-410(view)-410(it)-410(is)-410(ev)27(en)-410(p)-27(os)-1(sibl)1(e)-411(to)-410(execute)-410(one)-410(call)-410(for)]TJ -14.944 -11.955 Td 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[(generate)-310(the)-311(en)28(tire)-310(part)-310(of)-311(a)-310(co)-28(e\016cien)28(t)-311(matrix)-310(residing)-310(on)-310(a)-311(pro)-27(ces)-1(s)-310(and)-310(pass)-310(it)]TJ 0 -11.955 Td [(in)-309(a)-309(single)-309(call)-309(to)]TJ/F30 9.9626 Tf 76.89 0 Td [(psb_spins)]TJ/F8 9.9626 Tf 47.073 0 Td [(;)-317(this,)-314(ho)28(w)28(e)-1(v)28(er,)-314(w)28(ould)-309(en)28(tail)-309(a)-309(doubling)-309(of)-309(memory)]TJ -123.963 -11.955 Td [(o)-28(ccupation,)-333(and)-333(th)27(u)1(s)-334(w)28(ould)-333(b)-28(e)-333(almos)-1(t)-333(alw)28(a)28(ys)-334(far)-333(from)-333(optimal.)]TJ/F16 11.9552 Tf 0 -28.062 Td [(2.4)-1125(Programming)-375(mo)-31(del)]TJ/F8 9.9626 Tf 0 -18.451 Td [(The)-325(PSBLAS)-324(librarary)-325(is)-325(based)-325(on)-324(the)-325(Single)-325(Program)-324(Multiple)-325(Data)-325(\050SPMD\051)]TJ 0 -11.955 Td [(programming)-413(mo)-28(del:)-603(eac)27(h)-413(pro)-27(cess)-413(participating)-413(in)-413(the)-413(computation)-413(p)-28(erforms)]TJ 0 -11.955 Td 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3.437 0 l S Q -1 0 0 1 -117.8319 -549.7178 cm BT -/F29 9.9626 Tf 121.269 549.7178 Td[(dpk)]TJ +/F27 9.9626 Tf 121.269 549.718 Td [(dpk)]TJ ET -1 0 0 1 140.7331 549.7178 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 140.733 549.917 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -144.1702 -549.7178 cm BT -/F8 9.9626 Tf 149.1515 549.7178 Td[(Kin)1(d)-494(par)1(am)-1(ete)-1(r)-494(f)1(or)-494(long)-494(pr)1(e)-1(cis)-1(i)1(on)-494(real)-495(an)1(d)-494(c)-1(ompl)1(e)-1(x)-494(data;)-574(c)-1(orr)1(e)-1(-)]TJ -24.3495 -11.9552 Td[(sp)-28(on)1(ds)-334(to)-333(a)]TJ/F32 9.9626 Tf 53.5216 0 Td[(DOUBLE)-525(PRECISION)]TJ/F8 9.9626 Tf 87.0063 0 Td[(declaration)-332(and)-333(is)-333(normally)-333(8)-333(b)28(ytes.)]TJ/F18 11.9552 Tf -165.4346 -27.759 Td[(3)-1(.1)-1125(D)-1(escri)-1(pto)-1(r)-375(dat)-1(a)-375(s)1(t)-1(ruct)-1(ure)]TJ/F8 9.9626 Tf 0 -18.3893 Td[(All)-349(t)1(he)-349(ge)-1(n)1(e)-1(ral)-348(m)-1(atr)1(ix)-349(in)1(for)1(m)-1(ati)1(ons)-349(and)-348(e)-1(leme)-1(n)28(ts)-349(to)-349(b)-27(e)-350(exc)27(h)1(anged)-349(among)-349(p)1(ro-)]TJ 0 -11.9552 Td[(ce)-1(ss)-1(es)-453(are)-453(s)-1(tor)1(e)-1(d)-452(with)1(in)-453(a)-452(data)-453(stru)1(c)-1(t)1(ure)-453(of)-452(the)-453(t)28(yp)-27(e)]TJ/F32 9.9626 Tf 242.5321 0 Td[(psb)]TJ +/F8 9.9626 Tf 149.152 549.718 Td [(Kind)-494(parameter)-495(for)-494(long)-495(precision)-494(real)-495(and)-494(complex)-495(d)1(ata;)-576(corr)1(e)-1(-)]TJ -24.35 -11.955 Td [(sp)-28(onds)-333(to)-333(a)]TJ/F30 9.9626 Tf 53.522 0 Td [(DOUBLE)-525(PRECISION)]TJ/F8 9.9626 Tf 87.006 0 Td [(declaration)-333(and)-334(is)-333(normally)-333(8)-333(b)27(ytes.)]TJ/F16 11.9552 Tf -165.435 -27.759 Td [(3.1)-1125(Descriptor)-375(data)-375(structure)]TJ/F8 9.9626 Tf 0 -18.39 Td [(All)-349(the)-349(general)-349(matrix)-349(informations)-349(and)-349(elemen)28(ts)-349(to)-349(b)-28(e)-349(exc)28(hanged)-349(among)-349(pro-)]TJ 0 -11.955 Td [(cesses)-453(are)-453(stored)-453(within)-452(a)-453(data)-453(structure)-452(of)-453(the)-453(t)28(yp)-28(e)]TJ/F30 9.9626 Tf 242.532 0 Td [(psb)]TJ ET -1 0 0 1 358.746 479.6591 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 358.746 479.858 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -358.746 -479.6591 cm BT -/F32 9.9626 Tf 361.8843 479.6591 Td[(desc)]TJ +/F30 9.9626 Tf 361.884 479.659 Td [(desc)]TJ ET -1 0 0 1 383.4332 479.6591 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 383.433 479.858 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -383.4332 -479.6591 cm BT -/F32 9.9626 Tf 386.5715 479.6591 Td[(type)]TJ/F8 9.9626 Tf 20.9213 0 Td[(.)-802(Ev)28(ery)]TJ -307.5974 -11.9552 Td[(structu)1(re)-393(of)-391(thi)1(s)-393(t)28(yp)-27(e)-393(i)1(s)-393(ass)-1(o)-28(ciated)-392(to)-392(a)-392(spar)1(s)-1(e)-392(m)-1(at)1(rix,)-406(it)-392(con)28(tain)1(s)-393(d)1(ata)-392(ab)-28(ou)1(t)]TJ 0 -11.9551 Td[(general)-333(m)-1(at)1(rix)-333(in)1(formation)1(s)-334(and)-332(e)-1(leme)-1(n)28(ts)-333(to)-334(b)-27(e)-334(exc)27(h)1(anged)-333(among)-333(pr)1(o)-28(c)-1(es)-1(ses)-1(.)]TJ 14.944 -11.9552 Td[(It)-222(is)-223(n)1(ot)-222(nec)-1(es)-1(sary)-222(f)1(or)-222(the)-222(use)-1(r)-222(to)-222(kn)1(o)28(w)-223(th)1(e)-223(in)28(t)1(e)-1(rn)1(al)-222(s)-1(t)1(ructur)1(e)-223(of)]TJ/F32 9.9626 Tf 268.0507 0 Td[(psb_desc_type)]TJ/F8 9.9626 Tf 67.9944 0 Td[(,)]TJ -350.9891 -11.9552 Td[(it)-300(is)-301(s)-1(et)-301(in)-300(a)-301(tr)1(ansparen)28(t)-300(m)-1(o)-28(d)1(e)-301(b)28(y)-301(th)1(e)-301(to)-28(ols)-301(rou)1(tin)1(e)-1(s)-301(of)-300(Sec)-1(.)]TJ -ET -1 0 0 1 356.7256 431.8384 cm +/F30 9.9626 Tf 386.571 479.659 Td [(type)]TJ/F8 9.9626 Tf 20.922 0 Td [(.)-803(Ev)28(ery)]TJ -307.598 -11.955 Td [(structure)-392(of)-392(this)-392(t)28(yp)-28(e)-392(is)-392(asso)-28(ciated)-392(to)-392(a)-392(sparse)-392(matrix,)-407(it)-392(con)28(tains)-392(data)-392(ab)-28(out)]TJ 0 -11.955 Td [(general)-333(matrix)-334(informations)-333(and)-333(elemen)28(ts)-334(to)-333(b)-28(e)-333(exc)27(hanged)-333(among)-333(pro)-28(cesses.)]TJ 14.944 -11.955 Td [(It)-222(is)-223(n)1(ot)-223(necessary)-222(for)-222(the)-222(user)-223(to)-222(kno)28(w)-222(the)-223(i)1(n)27(ternal)-222(structure)-222(of)]TJ/F30 9.9626 Tf 268.051 0 Td [(psb_desc_type)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ -350.989 -11.956 Td [(it)-301(is)-301(set)-300(in)-301(a)-301(transparen)28(t)-301(mo)-28(de)-300(b)28(y)-301(the)-301(to)-28(ols)-301(rou)1(tines)-301(of)-301(Sec.)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -356.7256 -431.8384 cm -BT -/F8 9.9626 Tf 356.7256 431.8384 Td[(6)]TJ -ET -1 0 0 1 361.7069 431.8384 cm + [-301(6)]TJ 0 g 0 G -1 0 0 1 -361.7069 -431.8384 cm -BT -/F8 9.9626 Tf 361.7069 431.8384 Td[(,)-307(and)-300(its)-301(\014)1(e)-1(ld)1(s)-301(m)-1(a)28(y)]TJ -261.8115 -11.9551 Td[(b)-27(e)-388(acc)-1(es)-1(sed)-387(if)-386(nec)-1(es)-1(sary)-387(vi)1(a)-387(the)-387(rou)1(tines)-388(of)-386(s)-1(ec)-1(.)]TJ -ET -1 0 0 1 312.9298 419.8833 cm + [(,)-307(and)-301(its)-300(\014elds)-301(ma)28(y)]TJ 0 -11.955 Td [(b)-28(e)-387(accessed)-387(if)-387(necessary)-387(via)-387(the)-387(routines)-387(of)-387(sec.)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -312.9298 -419.8833 cm -BT -/F8 9.9626 Tf 312.9298 419.8833 Td[(3.4)]TJ -ET -1 0 0 1 325.6599 419.8833 cm + [-387(3.4)]TJ 0 g 0 G -1 0 0 1 -325.6599 -419.8833 cm -BT -/F8 9.9626 Tf 325.6599 419.8833 Td[(;)-414(n)1(e)-1(v)28(erth)1(e)-1(l)1(e)-1(ss)-388(w)28(e)-388(in)1(c)-1(l)1(ud)1(e)-388(a)]TJ -225.7645 -11.9552 Td[(desc)-1(ri)1(ption)-332(for)-333(th)1(e)-334(c)-1(u)1(riou)1(s)-334(reader:)]TJ -ET -1 0 0 1 94.9141 388.604 cm + [(;)-414(nev)28(e)-1(r)1(thele)-1(ss)-387(w)28(e)-387(include)-387(a)]TJ 0 -11.955 Td [(description)-333(for)-334(the)-333(curious)-333(reader:)]TJ 0 g 0 G -1 0 0 1 -94.9141 -388.604 cm -BT -/F29 9.9626 Tf 99.8954 388.604 Td[(mat)-1(r)1(i)-1(x)]TJ +/F27 9.9626 Tf 0 -19.324 Td [(matrix)]TJ ET -1 0 0 1 134.1027 388.604 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 134.103 388.803 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -134.1027 -388.604 cm BT -/F29 9.9626 Tf 137.5398 388.604 Td[(data)]TJ -ET -1 0 0 1 159.499 388.604 cm +/F27 9.9626 Tf 137.54 388.604 Td [(data)]TJ 0 g 0 G -1 0 0 1 -159.499 -388.604 cm -BT -/F8 9.9626 Tf 164.4803 388.604 Td[(in)1(c)-1(lu)1(des)-271(general)-270(inf)1(ormation)-270(ab)-27(out)-270(matrix)-270(an)1(d)-270(pr)1(o)-28(c)-1(es)-1(s)-270(grid)1(,)-283(s)-1(u)1(c)27(h)]TJ -39.6783 -11.9552 Td[(as)-403(the)-403(c)-1(omm)28(uni)1(c)-1(ati)1(on)-403(con)28(text,)-420(the)-403(siz)-1(e)-403(of)-402(the)-403(global)-402(m)-1(at)1(rix,)-420(th)1(e)-404(size)-404(of)]TJ 0 -11.9551 Td[(th)1(e)-347(p)-27(ortion)-346(of)-345(m)-1(atr)1(ix)-346(stored)-346(on)-346(th)1(e)-347(curr)1(e)-1(n)28(t)-346(p)1(ro)-28(ce)-1(ss,)-350(an)1(d)-346(so)-347(on)1(.)-483(Sp)-27(ec)-1(i\014)1(e)-1(d)]TJ 0 -11.9552 Td[(as:)-445(an)-333(al)1(lo)-28(catable)-333(in)28(tege)-1(r)-333(ar)1(ra)28(y)-333(of)-333(dimension)]TJ/F32 9.9626 Tf 197.5097 0 Td[(psb_mdata_size_)]TJ/F8 9.9626 Tf 78.4551 0 Td[(.)]TJ -ET -1 0 0 1 94.9141 333.1138 cm +/F8 9.9626 Tf 26.94 0 Td [(includes)-270(general)-271(information)-270(ab)-28(out)-270(matrix)-270(and)-271(pro)-27(ces)-1(s)-270(grid,)-283(suc)28(h)]TJ -39.678 -11.955 Td [(as)-403(the)-403(comm)28(unication)-403(con)28(text,)-420(the)-403(size)-403(of)-403(the)-403(global)-403(matrix,)-420(the)-403(size)-403(of)]TJ 0 -11.955 Td [(the)-346(p)-28(ortion)-346(of)-346(matrix)-346(stored)-347(on)-346(the)-346(curren)28(t)-346(pro)-28(cess,)-350(and)-346(so)-346(on.)-483(Sp)-28(eci\014ed)]TJ 0 -11.955 Td [(as:)-444(an)-334(allo)-28(catabl)1(e)-334(in)28(teger)-333(arra)27(y)-333(of)-333(dimension)]TJ/F30 9.9626 Tf 197.51 0 Td [(psb_mdata_size_)]TJ/F8 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -333.1138 cm -BT -/F29 9.9626 Tf 99.8954 333.1138 Td[(halo)]TJ +/F27 9.9626 Tf -300.872 -19.625 Td [(halo)]TJ ET -1 0 0 1 121.4281 333.1138 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 121.428 333.313 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -121.4281 -333.1138 cm BT -/F29 9.9626 Tf 124.8652 333.1138 Td[(index)]TJ -ET -1 0 0 1 152.0755 333.1138 cm +/F27 9.9626 Tf 124.865 333.114 Td [(index)]TJ 0 g 0 G -1 0 0 1 -152.0755 -333.1138 cm -BT -/F8 9.9626 Tf 157.0568 333.1138 Td[(A)-384(list)-384(of)-384(th)1(e)-385(hal)1(o)-385(an)1(d)-384(b)-27(oun)1(dary)-384(elem)-1(en)28(ts)-385(f)1(or)-384(th)1(e)-385(curr)1(e)-1(n)28(t)-384(p)1(ro)-28(ce)-1(ss)]TJ -32.2548 -11.9551 Td[(to)-347(b)-27(e)-348(exc)27(h)1(anged)-347(with)-347(ot)1(her)-347(pr)1(o)-28(c)-1(es)-1(ses)-1(;)-354(f)1(or)-347(e)-1(ac)28(h)-347(p)1(ro)-28(ce)-1(ss)-1(es)-348(with)-346(whic)28(h)-347(it)-347(is)]TJ 0 -11.9552 Td[(nece)-1(ss)-1(ar)1(y)-334(t)1(o)-334(com)-1(m)28(un)1(icate)-1(:)]TJ -ET -1 0 0 1 124.802 289.5788 cm +/F8 9.9626 Tf 32.192 0 Td [(A)-384(list)-384(of)-385(th)1(e)-385(halo)-384(and)-384(b)-28(oundary)-384(elemen)28(ts)-384(for)-385(th)1(e)-385(curren)28(t)-384(pro)-28(cess)]TJ -32.255 -11.955 Td [(to)-347(b)-28(e)-347(exc)28(hanged)-347(with)-347(other)-347(pro)-28(cesses;)-354(for)-347(ea)-1(c)28(h)-347(pro)-28(cesses)-347(with)-347(whic)28(h)-347(it)-347(is)]TJ 0 -11.955 Td [(necessary)-333(to)-334(comm)28(unicate:)]TJ 0 g 0 G -1 0 0 1 -124.802 -289.5788 cm -BT -/F8 9.9626 Tf 133.9898 289.5788 Td[(1.)]TJ -ET -1 0 0 1 141.7385 289.5788 cm + 9.188 -19.625 Td [(1.)]TJ 0 g 0 G -1 0 0 1 -141.7385 -289.5788 cm -BT -/F8 9.9626 Tf 146.7198 289.5788 Td[(Pr)1(o)-28(ce)-1(ss)-334(id)1(e)-1(n)28(ti)1(\014er;)]TJ -ET -1 0 0 1 124.802 273.9392 cm + [-500(Pro)-28(cess)-333(iden)28(ti\014er;)]TJ 0 g 0 G -1 0 0 1 -124.802 -273.9392 cm -BT -/F8 9.9626 Tf 133.9898 273.9392 Td[(2.)]TJ -ET -1 0 0 1 141.7385 273.9392 cm + 0 -15.64 Td [(2.)]TJ 0 g 0 G -1 0 0 1 -141.7385 -273.9392 cm -BT -/F8 9.9626 Tf 146.7198 273.9392 Td[(Num)28(b)-27(e)-1(r)-333(of)-333(p)-27(oin)28(ts)-333(to)-334(b)-27(e)-334(r)1(e)-1(ce)-1(iv)28(ed;)]TJ -ET -1 0 0 1 124.802 258.2996 cm + [-500(Num)28(b)-28(er)-333(of)-334(p)-27(oin)28(ts)-334(to)-333(b)-28(e)-333(receiv)27(ed;)]TJ 0 g 0 G -1 0 0 1 -124.802 -258.2996 cm -BT -/F8 9.9626 Tf 133.9898 258.2996 Td[(3.)]TJ -ET -1 0 0 1 141.7385 258.2996 cm + 0 -15.639 Td [(3.)]TJ 0 g 0 G -1 0 0 1 -141.7385 -258.2996 cm -BT -/F8 9.9626 Tf 146.7198 258.2996 Td[(Ind)1(ice)-1(s)-334(of)-333(p)-27(oin)29(ts)-334(to)-333(b)-28(e)-333(re)-1(ceiv)28(e)-1(d)1(;)]TJ -ET -1 0 0 1 124.802 242.66 cm + [-500(Indices)-333(of)-334(p)-27(oin)27(ts)-333(to)-333(b)-28(e)-333(receiv)27(ed;)]TJ 0 g 0 G -1 0 0 1 -124.802 -242.66 cm -BT -/F8 9.9626 Tf 133.9898 242.66 Td[(4.)]TJ -ET -1 0 0 1 141.7385 242.66 cm + 0 -15.64 Td [(4.)]TJ 0 g 0 G -1 0 0 1 -141.7385 -242.66 cm -BT -/F8 9.9626 Tf 146.7198 242.66 Td[(Num)28(b)-27(e)-1(r)-333(of)-333(p)-27(oin)28(ts)-333(to)-334(b)-27(e)-334(se)-1(n)29(t;)]TJ -ET -1 0 0 1 124.802 227.0203 cm + [-500(Num)28(b)-28(er)-333(of)-334(p)-27(oin)28(ts)-334(to)-333(b)-28(e)-333(sen)27(t;)]TJ 0 g 0 G -1 0 0 1 -124.802 -227.0203 cm -BT -/F8 9.9626 Tf 133.9898 227.0203 Td[(5.)]TJ -ET -1 0 0 1 141.7385 227.0203 cm + 0 -15.64 Td [(5.)]TJ 0 g 0 G -1 0 0 1 -141.7385 -227.0203 cm -BT -/F8 9.9626 Tf 146.7198 227.0203 Td[(Ind)1(ice)-1(s)-334(of)-333(p)-27(oin)29(ts)-334(to)-333(b)-28(e)-333(s)-1(en)28(t;)]TJ -21.9178 -19.6246 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[(ext)]TJ ET -1 0 0 1 116.3361 163.8606 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 116.336 164.06 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -116.3361 -163.8606 cm BT -/F29 9.9626 Tf 119.7732 163.8606 Td[(index)]TJ -ET -1 0 0 1 146.9836 163.8606 cm +/F27 9.9626 Tf 119.773 163.861 Td [(index)]TJ 0 g 0 G -1 0 0 1 -146.9836 -163.8606 cm -BT -/F8 9.9626 Tf 151.9649 163.8606 Td[(A)-274(li)1(s)-1(t)-274(of)-273(ele)-1(men)28(t)-274(in)1(dice)-1(s)-274(to)-274(b)-27(e)-274(e)-1(x)1(c)27(han)1(ge)-1(d)-273(to)-274(impl)1(e)-1(me)-1(n)29(t)-274(the)-274(mapp)1(ing)]TJ -27.1629 -11.9551 Td[(b)-27(e)-1(t)28(w)28(e)-1(en)-333(a)-333(base)-334(des)-1(crip)1(tor)-333(and)-333(a)-333(d)1(e)-1(sc)-1(r)1(iptor)-333(with)-332(o)27(v)28(erlap)1(.)]TJ -ET -1 0 0 1 94.9141 132.2808 cm +/F8 9.9626 Tf 32.192 0 Td [(A)-274(list)-274(of)-273(e)-1(l)1(e)-1(men)28(t)-274(indices)-274(to)-273(b)-28(e)-274(exc)28(hanged)-274(to)-274(implemen)28(t)-274(the)-274(mapping)]TJ -27.163 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-/F29 9.9626 Tf 121.269 536.3111 Td[(nohalo)]TJ +/F27 9.9626 Tf 121.269 536.311 Td [(nohalo)]TJ ET -1 0 0 1 154.8952 536.3111 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 154.895 536.51 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -158.3323 -536.3111 cm BT -/F8 9.9626 Tf 163.3136 536.3111 Td[(Do)-333(not)-333(fetc)27(h)-332(halo)-333(e)-1(l)1(e)-1(me)-1(n)29(ts)-1(;)]TJ -ET -1 0 0 1 94.9141 515.8222 cm +/F8 9.9626 Tf 163.314 536.311 Td [(Do)-333(not)-334(fetc)28(h)-333(halo)-333(elem)-1(en)28(ts;)]TJ 0 g 0 G -1 0 0 1 -94.9141 -515.8222 cm -BT -/F29 9.9626 Tf 99.8954 515.8222 Td[(ps)1(b)]TJ +/F27 9.9626 Tf -63.419 -20.489 Td [(psb)]TJ ET -1 0 0 1 117.8319 515.8222 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 117.832 516.022 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -117.8319 -515.8222 cm BT -/F29 9.9626 Tf 121.269 515.8222 Td[(halo)]TJ +/F27 9.9626 Tf 121.269 515.822 Td [(halo)]TJ ET -1 0 0 1 142.8017 515.8222 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 142.802 516.022 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -146.2388 -515.8222 cm BT -/F8 9.9626 Tf 151.2201 515.8222 Td[(F)84(e)-1(tc)28(h)-333(halo)-333(ele)-1(men)28(ts)-334(f)1(rom)-334(n)1(e)-1(igh)29(b)-28(ou)1(rin)1(g)-334(p)1(ro)-28(ce)-1(sse)-1(s;)]TJ -ET -1 0 0 1 94.9141 495.3334 cm +/F8 9.9626 Tf 151.22 515.822 Td [(F)83(etc)28(h)-333(halo)-334(elemen)28(ts)-333(from)-334(neigh)28(b)-27(ouring)-334(pro)-27(ces)-1(ses;)]TJ 0 g 0 G -1 0 0 1 -94.9141 -495.3334 cm -BT -/F29 9.9626 Tf 99.8954 495.3334 Td[(ps)1(b)]TJ +/F27 9.9626 Tf -51.325 -20.489 Td [(psb)]TJ ET -1 0 0 1 117.8319 495.3334 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 117.832 495.533 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -117.8319 -495.3334 cm BT -/F29 9.9626 Tf 121.269 495.3334 Td[(su)1(m)]TJ +/F27 9.9626 Tf 121.269 495.333 Td [(sum)]TJ ET -1 0 0 1 142.388 495.3334 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 142.388 495.533 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -145.8251 -495.3334 cm BT -/F8 9.9626 Tf 150.8064 495.3334 Td[(Su)1(m)-334(o)28(v)28(erlap)1(p)-28(ed)-333(e)-1(l)1(e)-1(me)-1(n)29(ts)]TJ -ET -1 0 0 1 94.9141 474.8446 cm +/F8 9.9626 Tf 150.806 495.333 Td [(Sum)-333(o)27(v)28(erlapp)-27(e)-1(d)-333(elemen)28(ts)]TJ 0 g 0 G -1 0 0 1 -94.9141 -474.8446 cm -BT -/F29 9.9626 Tf 99.8954 474.8446 Td[(ps)1(b)]TJ +/F27 9.9626 Tf -50.911 -20.488 Td [(psb)]TJ ET -1 0 0 1 117.8319 474.8446 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 117.832 475.044 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -117.8319 -474.8446 cm BT -/F29 9.9626 Tf 121.269 474.8446 Td[(a)32(vg)]TJ +/F27 9.9626 Tf 121.269 474.845 Td [(a)32(vg)]TJ ET -1 0 0 1 138.9827 474.8446 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 138.983 475.044 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -142.4198 -474.8446 cm BT -/F8 9.9626 Tf 147.4011 474.8446 Td[(Av)28(erage)-334(o)28(v)28(e)-1(r)1(lapp)-27(ed)-333(e)-1(l)1(e)-1(me)-1(n)28(t)1(s)]TJ -ET -1 0 0 1 94.9141 454.3558 cm +/F8 9.9626 Tf 147.401 474.845 Td [(Av)28(erage)-334(o)28(v)28(erlapp)-28(ed)-333(elemen)28(ts)]TJ 0 g 0 G -1 0 0 1 -94.9141 -454.3558 cm -BT -/F29 9.9626 Tf 99.8954 454.3558 Td[(ps)1(b)]TJ +/F27 9.9626 Tf -47.506 -20.489 Td [(psb)]TJ ET -1 0 0 1 117.8319 454.3558 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 117.832 454.555 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -117.8319 -454.3558 cm BT -/F29 9.9626 Tf 121.269 454.3558 Td[(comm)]TJ +/F27 9.9626 Tf 121.269 454.356 Td [(comm)]TJ ET -1 0 0 1 151.8718 454.3558 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 151.872 454.555 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -151.8718 -454.3558 cm BT -/F29 9.9626 Tf 155.3089 454.3558 Td[(halo)]TJ +/F27 9.9626 Tf 155.309 454.356 Td [(halo)]TJ ET -1 0 0 1 176.8416 454.3558 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 176.842 454.555 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -180.2787 -454.3558 cm BT -/F8 9.9626 Tf 185.2601 454.3558 Td[(Ex)1(c)27(han)1(ge)-334(d)1(ata)-334(b)1(as)-1(ed)-333(on)-333(th)1(e)]TJ/F32 9.9626 Tf 126.3874 0 Td[(halo_index)]TJ/F8 9.9626 Tf 55.6242 0 Td[(list;)]TJ -ET -1 0 0 1 94.9141 433.867 cm +/F8 9.9626 Tf 185.26 454.356 Td [(Exc)28(hange)-334(d)1(ata)-334(based)-333(on)-333(the)]TJ/F30 9.9626 Tf 126.387 0 Td [(halo_index)]TJ/F8 9.9626 Tf 55.625 0 Td [(list;)]TJ 0 g 0 G -1 0 0 1 -94.9141 -433.867 cm -BT -/F29 9.9626 Tf 99.8954 433.867 Td[(ps)1(b)]TJ +/F27 9.9626 Tf -267.377 -20.489 Td [(psb)]TJ ET -1 0 0 1 117.8319 433.867 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 117.832 434.066 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -117.8319 -433.867 cm BT -/F29 9.9626 Tf 121.269 433.867 Td[(comm)]TJ +/F27 9.9626 Tf 121.269 433.867 Td [(comm)]TJ ET -1 0 0 1 151.8718 433.867 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 151.872 434.066 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -151.8718 -433.867 cm BT -/F29 9.9626 Tf 155.3089 433.867 Td[(ext)]TJ +/F27 9.9626 Tf 155.309 433.867 Td [(ext)]TJ ET -1 0 0 1 171.7497 433.867 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 171.75 434.066 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -175.1868 -433.867 cm BT -/F8 9.9626 Tf 180.1681 433.867 Td[(Ex)1(c)27(han)1(ge)-334(d)1(ata)-334(b)1(as)-1(ed)-333(on)-333(th)1(e)]TJ/F32 9.9626 Tf 126.3874 0 Td[(ext_index)]TJ/F8 9.9626 Tf 50.3939 0 Td[(list;)]TJ -ET -1 0 0 1 94.9141 413.3782 cm +/F8 9.9626 Tf 180.168 433.867 Td [(Exc)28(hange)-334(d)1(ata)-334(based)-333(on)-333(the)]TJ/F30 9.9626 Tf 126.387 0 Td [(ext_index)]TJ/F8 9.9626 Tf 50.394 0 Td [(list;)]TJ 0 g 0 G -1 0 0 1 -94.9141 -413.3782 cm -BT -/F29 9.9626 Tf 99.8954 413.3782 Td[(ps)1(b)]TJ +/F27 9.9626 Tf -257.054 -20.489 Td [(psb)]TJ ET -1 0 0 1 117.8319 413.3782 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 117.832 413.577 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -117.8319 -413.3782 cm BT -/F29 9.9626 Tf 121.269 413.3782 Td[(comm)]TJ +/F27 9.9626 Tf 121.269 413.378 Td [(comm)]TJ ET -1 0 0 1 151.8718 413.3782 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 151.872 413.577 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -151.8718 -413.3782 cm BT -/F29 9.9626 Tf 155.3089 413.3782 Td[(o)32(vr)]TJ +/F27 9.9626 Tf 155.309 413.378 Td [(o)32(vr)]TJ ET -1 0 0 1 172.1717 413.3782 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 172.172 413.577 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -175.6088 -413.3782 cm BT -/F8 9.9626 Tf 180.5901 413.3782 Td[(Ex)1(c)27(han)1(ge)-334(d)1(ata)-334(b)1(as)-1(ed)-333(on)-333(th)1(e)]TJ/F32 9.9626 Tf 126.3874 0 Td[(ovrlap_index)]TJ/F8 9.9626 Tf 66.085 0 Td[(list;)]TJ -ET -1 0 0 1 94.9141 392.8894 cm +/F8 9.9626 Tf 180.59 413.378 Td [(Exc)28(hange)-334(d)1(ata)-334(based)-333(on)-333(the)]TJ/F30 9.9626 Tf 126.387 0 Td [(ovrlap_index)]TJ/F8 9.9626 Tf 66.085 0 Td [(list;)]TJ 0 g 0 G -1 0 0 1 -94.9141 -392.8894 cm -BT -/F29 9.9626 Tf 99.8954 392.8894 Td[(ps)1(b)]TJ +/F27 9.9626 Tf -273.167 -20.489 Td [(psb)]TJ ET -1 0 0 1 117.8319 392.8894 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 117.832 393.089 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -117.8319 -392.8894 cm BT -/F29 9.9626 Tf 121.269 392.8894 Td[(comm)]TJ +/F27 9.9626 Tf 121.269 392.889 Td [(comm)]TJ ET -1 0 0 1 151.8718 392.8894 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 151.872 393.089 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -151.8718 -392.8894 cm BT -/F29 9.9626 Tf 155.3089 392.8894 Td[(mo)32(v)]TJ +/F27 9.9626 Tf 155.309 392.889 Td [(mo)32(v)]TJ ET -1 0 0 1 177.0008 392.8894 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 177.001 393.089 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -180.4379 -392.8894 cm BT -/F8 9.9626 Tf 185.4192 392.8894 Td[(Ex)1(c)27(han)1(ge)-334(d)1(ata)-334(b)1(as)-1(ed)-333(on)-333(th)1(e)]TJ/F32 9.9626 Tf 126.3874 0 Td[(ovr_mst_idx)]TJ/F8 9.9626 Tf 60.8546 0 Td[(list;)]TJ/F18 11.9552 Tf -272.7658 -28.6359 Td[(3.)-1(2)-1125(Spar)-1(se)-375(Matr)-1(ix)-375(dat)-1(a)-374(st)-1(ruct)-1(ure)]TJ/F8 9.9626 Tf 0 -18.6516 Td[(The)]TJ/F32 9.9626 Tf 19.7465 0 Td[(psb)]TJ +/F8 9.9626 Tf 185.419 392.889 Td [(Exc)28(hange)-334(d)1(ata)-334(based)-333(on)-333(the)]TJ/F30 9.9626 Tf 126.388 0 Td [(ovr_mst_idx)]TJ/F8 9.9626 Tf 60.854 0 Td [(list;)]TJ/F16 11.9552 Tf -272.766 -28.635 Td [(3.2)-1125(Sparse)-375(Matrix)-375(data)-375(structure)]TJ/F8 9.9626 Tf 0 -18.652 Td [(The)]TJ/F30 9.9626 Tf 19.747 0 Td [(psb)]TJ ET -1 0 0 1 135.9605 345.602 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 135.96 345.801 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -135.9605 -345.602 cm BT -/F32 9.9626 Tf 139.0987 345.602 Td[(spmat)]TJ +/F30 9.9626 Tf 139.099 345.602 Td [(spmat)]TJ ET -1 0 0 1 165.878 345.602 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 165.878 345.801 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -165.878 -345.602 cm BT -/F32 9.9626 Tf 169.0162 345.602 Td[(type)]TJ/F8 9.9626 Tf 23.51 0 Td[(dat)1(a)-260(s)-1(tr)1(uctur)1(e)-261(con)28(tain)1(s)-260(all)-260(in)1(for)1(m)-1(ati)1(on)-260(ab)-27(out)-259(lo)-28(cal)-260(p)-27(ortion)]TJ -92.6308 -11.9552 Td[(of)-374(th)1(e)-375(spar)1(s)-1(e)-375(matr)1(ix)-374(and)-374(i)1(ts)-375(storage)-374(m)-1(o)-28(d)1(e)-1(.)-566(Most)-375(of)-373(thes)-1(e)-374(\014elds)-374(are)-375(set)-374(b)28(y)-374(the)]TJ 0 -11.9552 Td[(to)-28(ol)1(s)-350(r)1(outi)1(nes)-350(wh)1(e)-1(n)-348(in)1(s)-1(ertin)1(g)-349(a)-348(new)-349(s)-1(p)1(arse)-350(matri)1(x;)-356(the)-349(u)1(s)-1(er)-349(n)1(e)-1(eds)-349(on)1(ly)-348(c)27(ho)-27(os)-1(e,)]TJ 0 -11.9551 Td[(if)-333(h)1(e)-1(/she)-333(s)-1(o)-333(whishes)-1(,)-333(a)-333(s)-1(p)-27(ec)-1(i\014)1(c)-334(matrix)-333(storage)-334(mo)-28(d)1(e)-1(.)]TJ -ET -1 0 0 1 94.9141 277.4334 cm +/F30 9.9626 Tf 169.016 345.602 Td [(type)]TJ/F8 9.9626 Tf 23.51 0 Td [(data)-260(structure)-260(con)28(tains)-260(all)-259(information)-260(ab)-28(out)-260(lo)-27(cal)-260(p)-28(ortion)]TJ -92.631 -11.955 Td [(of)-374(the)-374(sparse)-375(matrix)-374(and)-374(its)-374(storage)-374(mo)-28(de.)-567(Most)-374(of)-374(these)-375(\014elds)-374(are)-374(set)-374(b)28(y)-375(the)]TJ 0 -11.955 Td [(to)-28(ols)-349(r)1(outines)-349(when)-349(inserting)-348(a)-349(new)-349(sparse)-348(matrix;)-357(the)-348(user)-349(needs)-349(only)-348(c)27(ho)-27(ose,)]TJ 0 -11.956 Td [(if)-333(he/she)-334(so)-333(whishes,)-333(a)-334(sp)-28(eci\014c)-333(matrix)-333(storage)-334(mo)-27(de.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -277.4334 cm -BT -/F29 9.9626 Tf 99.8954 277.4334 Td[(aspk)]TJ -ET -1 0 0 1 122.3956 277.4334 cm +/F27 9.9626 Tf 0 -32.303 Td [(aspk)]TJ 0 g 0 G -1 0 0 1 -122.3956 -277.4334 cm -BT -/F8 9.9626 Tf 127.3769 277.4334 Td[(Con)28(tain)1(s)-334(v)56(alues)-334(of)-333(th)1(e)-334(lo)-27(c)-1(al)-333(di)1(s)-1(tr)1(ibu)1(te)-1(d)-333(spar)1(s)-1(e)-333(m)-1(atr)1(ix.)]TJ -2.5749 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-430(as:)-639(an)-431(all)1(o)-28(c)-1(atab)1(le)-431(arr)1(a)27(y)-430(of)-431(r)1(ank)-430(one)-431(of)-430(t)27(y)1(p)-28(e)-431(corres)-1(p)-27(ond)1(in)1(g)-431(to)]TJ 0 -11.9552 Td[(matrix)-333(en)28(tri)1(e)-1(s)-334(t)28(y)1(p)-28(e.)]TJ -ET -1 0 0 1 94.9141 233.0342 cm +/F8 9.9626 Tf 27.482 0 Td [(Con)28(tains)-334(v)56(alues)-333(of)-334(the)-333(lo)-28(cal)-333(distributed)-333(sparse)-334(matrix.)]TJ -2.575 -11.955 Td 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cm +/F27 9.9626 Tf -24.906 -19.704 Td [(k)]TJ 0 g 0 G -1 0 0 1 -156.7516 -488.0577 cm -BT -/F8 9.9626 Tf 161.7329 488.0577 Td[(Num)28(b)-27(e)-1(r)-338(of)-337(columns;)-340(if)-337(c)-1(olu)1(m)-1(n)-337(in)1(dice)-1(s)-338(are)-338(s)-1(t)1(ore)-1(d)-337(expli)1(c)-1(it)1(ly)83(,)-339(as)-338(in)-337(Co)-28(ord)1(inate)]TJ 13.8786 -11.9551 Td[(St)1(orage)-228(or)-226(Com)-1(p)1(res)-1(se)-1(d)-226(Sp)1(arse)-228(Ro)28(ws)-1(,)-248(shou)1(ld)-227(b)-27(e)-227(greate)-1(r)-226(than)-226(or)-227(equal)-226(to)-227(the)]TJ 0 -11.9552 Td[(maxim)28(um)-374(c)-1(olu)1(mn)-374(in)1(dex)-374(ac)-1(t)1(ually)-373(prese)-1(n)28(t)-374(i)1(n)-374(th)1(e)-375(spar)1(s)-1(e)-374(m)-1(atr)1(ix.)-566(Sp)-27(ec)-1(i\014)1(e)-1(d)]TJ 0 -11.9552 Td[(as:)-445(i)1(n)28(te)-1(ger)-333(v)56(ariab)1(le.)]TJ -24.9066 -19.4825 Td[(The)-328(F)84(ortr)1(an)-327(95)-328(in)28(t)1(e)-1(rf)1(ac)-1(e)-327(for)-327(distri)1(bu)1(te)-1(d)-327(sparse)-328(matrices)-328(c)-1(on)28(tai)1(nin)1(g)-328(d)1(oub)1(le)-328(pr)1(e)-1(-)]TJ 0 -11.9551 Td[(cis)-1(i)1(on)-454(real)-454(en)28(tries)-455(i)1(s)-455(d)1(e)-1(\014)1(ned)-454(as)-455(sho)28(wn)-454(i)1(n)-454(\014gu)1(re)]TJ -ET -1 0 0 1 366.6783 420.7546 cm +/F8 9.9626 Tf 11.028 0 Td [(Num)28(b)-28(er)-338(of)-338(columns;)-340(if)-338(column)-338(indices)-338(are)-338(stored)-338(explicitly)84(,)-339(as)-338(in)-338(Co)-28(ordinate)]TJ 13.878 -11.955 Td [(Storage)-227(or)-227(Compressed)-227(Sparse)-227(Ro)28(ws,)-248(should)-227(b)-28(e)-227(greater)-227(than)-227(or)-227(equal)-226(to)-227(the)]TJ 0 -11.956 Td [(maxim)28(um)-374(column)-374(index)-374(actually)-374(presen)28(t)-374(in)-374(the)-374(sparse)-374(matrix.)-567(Sp)-27(eci\014ed)]TJ 0 -11.955 Td [(as:)-445(i)1(n)27(teger)-333(v)56(ariable.)]TJ -24.906 -19.482 Td [(The)-328(F)84(ortran)-328(95)-327(in)28(terface)-328(for)-327(distributed)-328(sparse)-327(matrices)-328(con)28(taining)-327(double)-328(pre-)]TJ 0 -11.955 Td [(cision)-454(real)-454(en)28(tries)-454(is)-455(de\014n)1(e)-1(d)-454(as)-454(sho)28(wn)-454(in)-454(\014gure)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -366.6783 -420.7546 cm -BT -/F8 9.9626 Tf 366.6783 420.7546 Td[(4)]TJ -ET -1 0 0 1 371.6596 420.7546 cm + [-454(4)]TJ 0 g 0 G -1 0 0 1 -371.6596 -420.7546 cm -BT -/F8 9.9626 Tf 371.6596 420.7546 Td[(.)-806(T)-1(h)1(e)-455(d)1(e)-1(\014)1(niti)1(ons)-454(for)-454(sin)1(gle)]TJ -220.9547 -11.9552 Td[(pr)1(e)-1(cision)-279(and)-279(complex)-279(data)-279(are)-280(i)1(den)28(tical)-280(exce)-1(p)1(t)-280(f)1(or)-279(the)]TJ/F32 9.9626 Tf 238.2801 0 Td[(real)]TJ/F8 9.9626 Tf 23.7049 0 Td[(declaration)-279(an)1(d)-279(for)]TJ -261.985 -11.9552 Td[(th)1(e)-334(kin)1(d)-333(t)28(yp)-27(e)-334(par)1(am)-1(ete)-1(r)1(.)]TJ 14.9439 -11.9551 Td[(The)-334(f)1(ollo)28(win)1(g)-334(t)28(w)28(o)-334(cas)-1(es)-334(are)-333(am)-1(on)1(g)-334(t)1(he)-334(mos)-1(t)-333(com)-1(mon)1(ly)-333(use)-1(d)1(:)]TJ -ET -1 0 0 1 145.7235 365.4066 cm + [(.)-807(The)-454(de\014nitions)-454(for)-454(single)]TJ 0 -11.956 Td [(precision)-279(and)-280(complex)-279(data)-279(are)-280(iden)28(tical)-279(e)-1(x)1(c)-1(ept)-279(for)-279(the)]TJ/F30 9.9626 Tf 238.28 0 Td [(real)]TJ/F8 9.9626 Tf 23.705 0 Td [(declaration)-279(and)-280(for)]TJ -261.985 -11.955 Td [(the)-333(kind)-334(t)28(yp)-27(e)-334(parameter.)]TJ 14.944 -11.955 Td [(The)-333(follo)28(w)-1(i)1(ng)-334(t)28(w)28(o)-334(cases)-333(are)-333(among)-334(the)-333(most)-334(commonly)-333(used:)]TJ 0 g 0 G -1 0 0 1 -145.7235 -365.4066 cm -BT -/F29 9.9626 Tf 150.7049 365.4066 Td[(\014da=\134CS)1(R)-1(")]TJ -ET -1 0 0 1 213.1578 365.4066 cm +/F27 9.9626 Tf -14.944 -19.482 Td [(\014da=\134CSR")]TJ 0 g 0 G -1 0 0 1 -213.1578 -365.4066 cm -BT -/F8 9.9626 Tf 218.1391 365.4066 Td[(Com)-1(p)1(res)-1(se)-1(d)-380(storage)-380(b)28(y)-380(ro)28(ws)-1(.)-585(In)-380(thi)1(s)-381(c)-1(ase)-381(th)1(e)-381(foll)1(o)27(win)1(g)-380(s)-1(h)1(ould)]TJ -42.5276 -11.9552 Td[(hol)1(d:)]TJ -ET -1 0 0 1 175.6115 333.7475 cm +/F8 9.9626 Tf 67.434 0 Td [(Compressed)-381(storage)-380(b)28(y)-380(ro)27(ws.)-585(In)-381(this)-380(case)-380(the)-381(follo)28(wing)-380(should)]TJ -42.528 -11.956 Td [(hold:)]TJ 0 g 0 G -1 0 0 1 -175.6115 -333.7475 cm -BT -/F8 9.9626 Tf 184.7992 333.7475 Td[(1.)]TJ -ET -1 0 0 1 192.548 333.7475 cm + 9.188 -19.704 Td [(1.)]TJ 0 g 0 G -1 0 0 1 -192.548 -333.7475 cm -BT -/F32 9.9626 Tf 197.5293 333.7475 Td[(ia2\050i\051)]TJ/F8 9.9626 Tf 36.2017 0 Td[(con)28(tain)1(s)-485(th)1(e)-484(ind)1(e)-1(x)-483(of)-484(t)1(he)-484(\014rst)-484(elem)-1(en)28(t)-484(of)-483(ro)28(w)]TJ/F32 9.9626 Tf 212.9085 0 Td[(i)]TJ/F8 9.9626 Tf 5.2304 0 Td[(;)-559(th)1(e)-484(las)-1(t)]TJ -254.3406 -11.9552 Td[(ele)-1(men)28(t)-274(of)-273(t)1(he)-274(sparse)-274(matrix)-273(is)-273(th)28(us)-273(s)-1(tor)1(e)-1(d)-273(at)-273(ind)1(e)-1(x)]TJ/F11 9.9626 Tf 222.7018 0 Td[(ia)]TJ/F8 9.9626 Tf 8.6984 0 Td[(2\050)]TJ/F11 9.9626 Tf 8.8557 0 Td[(m)]TJ/F8 9.9626 Tf 9.7675 0 Td[(+)-102(1\051)]TJ/F14 9.9626 Tf 18.6447 0 Td[(\000)]TJ/F8 9.9626 Tf 8.7689 0 Td[(1.)-424(It)]TJ -277.437 -11.9551 Td[(shoul)1(d)-248(c)-1(on)29(tain)]TJ/F32 9.9626 Tf 65.0547 0 Td[(m+1)]TJ/F8 9.9626 Tf 18.1643 0 Td[(en)28(tries)-249(i)1(n)-248(non)1(dec)-1(reasing)-248(ord)1(e)-1(r)-248(\050stri)1(c)-1(tl)1(y)-248(increas)-1(in)1(g,)]TJ -83.219 -11.9552 Td[(if)-333(th)1(e)-1(r)1(e)-334(are)-333(no)-333(e)-1(mpt)28(y)-333(ro)28(ws\051.)]TJ -ET -1 0 0 1 175.6115 282.1632 cm +/F30 9.9626 Tf 12.73 0 Td [(ia2\050i\051)]TJ/F8 9.9626 Tf 36.202 0 Td [(con)28(tains)-484(the)-484(index)-483(of)-484(the)-484(\014rst)-484(elemen)28(t)-484(of)-484(ro)28(w)]TJ/F30 9.9626 Tf 212.909 0 Td [(i)]TJ/F8 9.9626 Tf 5.23 0 Td [(;)-559(the)-484(last)]TJ -254.341 -11.955 Td [(elemen)28(t)-274(of)-273(the)-274(sparse)-273(matrix)-273(is)-274(th)28(us)-273(s)-1(tored)-273(at)-273(index)]TJ/F11 9.9626 Tf 222.702 0 Td [(ia)]TJ/F8 9.9626 Tf 8.698 0 Td [(2\050)]TJ/F11 9.9626 Tf 8.856 0 Td [(m)]TJ/F8 9.9626 Tf 9.768 0 Td [(+)-102(1\051)]TJ/F14 9.9626 Tf 18.644 0 Td [(\000)]TJ/F8 9.9626 Tf 8.769 0 Td [(1.)-424(It)]TJ -277.437 -11.955 Td [(should)-248(con)28(tain)]TJ/F30 9.9626 Tf 65.055 0 Td [(m+1)]TJ/F8 9.9626 Tf 18.164 0 Td [(en)28(tries)-249(in)-248(nondecreasing)-248(order)-248(\050strictly)-248(increasing,)]TJ -83.219 -11.955 Td [(if)-333(there)-334(are)-333(no)-333(empt)27(y)-333(ro)28(ws\051.)]TJ 0 g 0 G -1 0 0 1 -175.6115 -282.1632 cm -BT -/F8 9.9626 Tf 184.7992 282.1632 Td[(2.)]TJ -ET -1 0 0 1 192.548 282.1632 cm + -12.73 -15.719 Td [(2.)]TJ 0 g 0 G -1 0 0 1 -192.548 -282.1632 cm -BT -/F32 9.9626 Tf 197.5293 282.1632 Td[(ia1\050j\051)]TJ/F8 9.9626 Tf 35.118 0 Td[(con)28(tain)1(s)-376(th)1(e)-376(column)-375(i)1(nd)1(e)-1(x)-375(an)1(d)]TJ/F32 9.9626 Tf 139.3944 0 Td[(aspk\050j\051)]TJ/F8 9.9626 Tf 40.3484 0 Td[(con)28(tain)1(s)-376(th)1(e)-376(corre-)]TJ -214.8608 -11.9552 Td[(sp)-28(on)1(din)1(g)-334(co)-28(e\016)-1(cien)28(t)-333(v)56(alue,)-333(for)-333(all)]TJ/F11 9.9626 Tf 146.4788 0 Td[(ia)]TJ/F8 9.9626 Tf 8.6984 0 Td[(2\0501\051)]TJ/F14 9.9626 Tf 20.4787 0 Td[(\024)]TJ/F11 9.9626 Tf 10.5161 0 Td[(j)]TJ/F14 9.9626 Tf 7.4403 0 Td[(\024)]TJ/F11 9.9626 Tf 10.5161 0 Td[(ia)]TJ/F8 9.9626 Tf 8.6984 0 Td[(2\050)]TJ/F11 9.9626 Tf 8.8557 0 Td[(m)]TJ/F8 9.9626 Tf 10.9612 0 Td[(+)-222(1\051)]TJ/F14 9.9626 Tf 21.0322 0 Td[(\000)]TJ/F8 9.9626 Tf 9.9626 0 Td[(1.)]TJ -ET -1 0 0 1 145.7235 250.5041 cm +/F30 9.9626 Tf 12.73 0 Td [(ia1\050j\051)]TJ/F8 9.9626 Tf 35.118 0 Td [(con)28(tains)-375(the)-375(column)-375(index)-375(and)]TJ/F30 9.9626 Tf 139.395 0 Td [(aspk\050j\051)]TJ/F8 9.9626 Tf 40.348 0 Td [(con)28(tains)-375(the)-375(corre-)]TJ -214.861 -11.955 Td [(sp)-28(onding)-333(co)-28(e\016cien)28(t)-333(v)55(alue,)-333(for)-333(all)]TJ/F11 9.9626 Tf 146.479 0 Td [(ia)]TJ/F8 9.9626 Tf 8.698 0 Td [(2\0501\051)]TJ/F14 9.9626 Tf 20.479 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(j)]TJ/F14 9.9626 Tf 7.441 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(ia)]TJ/F8 9.9626 Tf 8.698 0 Td [(2\050)]TJ/F11 9.9626 Tf 8.856 0 Td [(m)]TJ/F8 9.9626 Tf 10.961 0 Td [(+)-222(1\051)]TJ/F14 9.9626 Tf 21.032 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1.)]TJ 0 g 0 G -1 0 0 1 -145.7235 -250.5041 cm -BT -/F29 9.9626 Tf 150.7049 250.5041 Td[(\014da=\134CO)1(O")]TJ -ET -1 0 0 1 215.4132 250.5041 cm +/F27 9.9626 Tf -310.463 -19.704 Td [(\014da=\134COO")]TJ 0 g 0 G -1 0 0 1 -215.4132 -250.5041 cm -BT -/F8 9.9626 Tf 220.3946 250.5041 Td[(Co)-28(ord)1(inat)1(e)-334(s)-1(tor)1(age)-1(.)-444(In)-333(th)1(is)-334(cas)-1(e)-334(th)1(e)-334(f)1(ollo)28(wing)-333(s)-1(h)1(oul)1(d)-333(hold)1(:)]TJ -ET -1 0 0 1 175.6115 230.8002 cm +/F8 9.9626 Tf 69.69 0 Td [(Co)-28(ordinate)-333(storage.)-444(I)-1(n)-333(this)-333(case)-334(the)-333(follo)28(wing)-333(should)-334(hold:)]TJ 0 g 0 G -1 0 0 1 -175.6115 -230.8002 cm -BT -/F8 9.9626 Tf 184.7992 230.8002 Td[(1.)]TJ -ET -1 0 0 1 192.548 230.8002 cm + -35.596 -19.704 Td [(1.)]TJ 0 g 0 G -1 0 0 1 -192.548 -230.8002 cm -BT -/F32 9.9626 Tf 197.5293 230.8002 Td[(infoa\0501\051)]TJ/F8 9.9626 Tf 45.1636 0 Td[(con)28(tain)1(s)-334(the)-333(n)28(um)28(b)-28(er)-333(of)-333(non)1(z)-1(ero)-333(e)-1(l)1(e)-1(me)-1(n)29(ts)-334(in)-333(th)1(e)-334(matrix)1(;)]TJ -ET -1 0 0 1 175.6115 215.0814 cm +/F30 9.9626 Tf 12.73 0 Td [(infoa\0501\051)]TJ/F8 9.9626 Tf 45.164 0 Td [(con)28(tains)-334(th)1(e)-334(n)28(um)28(b)-28(er)-333(of)-334(nonzero)-333(elemen)28(ts)-334(in)-333(the)-333(matrix;)]TJ 0 g 0 G -1 0 0 1 -175.6115 -215.0814 cm -BT -/F8 9.9626 Tf 184.7992 215.0814 Td[(2.)]TJ -ET -1 0 0 1 192.548 215.0814 cm + -57.894 -15.719 Td [(2.)]TJ 0 g 0 G -1 0 0 1 -192.548 -215.0814 cm -BT -/F8 9.9626 Tf 197.5293 215.0814 Td[(F)84(or)-270(al)1(l)-270(1)]TJ/F14 9.9626 Tf 38.1903 0 Td[(\024)]TJ/F11 9.9626 Tf 10.5161 0 Td[(j)]TJ/F14 9.9626 Tf 7.4403 0 Td[(\024)]TJ/F11 9.9626 Tf 10.5161 0 Td[(inf)-107(oa)]TJ/F8 9.9626 Tf 25.4574 0 Td[(\0501\051,)-282(th)1(e)-270(c)-1(o)-27(e)-1(\016c)-1(i)1(e)-1(n)28(t,)-282(r)1(o)28(w)-270(in)1(dex)-270(an)1(d)-269(c)-1(ol)1(umn)-269(ind)1(e)-1(x)]TJ -92.1202 -11.9552 Td[(are)-333(s)-1(tor)1(e)-1(d)-333(in)29(to)]TJ/F32 9.9626 Tf 66.8051 0 Td[(apsk\050j\051)]TJ/F8 9.9626 Tf 36.6124 0 Td[(,)]TJ/F32 9.9626 Tf 6.0883 0 Td[(ia1\050j\051)]TJ/F8 9.9626 Tf 34.7029 0 Td[(and)]TJ/F32 9.9626 Tf 19.3718 0 Td[(ia2\050j\051)]TJ/F8 9.9626 Tf 34.7029 0 Td[(res)-1(p)-27(ec)-1(ti)1(v)28(e)-1(ly)84(.)]TJ -245.1079 -19.7039 Td[(A)-333(s)-1(p)1(arse)-334(m)-1(at)1(rix)-333(has)-333(an)-333(as)-1(so)-28(ciate)-1(d)-332(s)-1(tate,)-333(whic)28(h)-333(c)-1(an)-333(tak)28(e)-333(the)-334(f)1(ollo)28(win)1(g)-334(v)56(alu)1(e)-1(s:)]TJ -ET -1 0 0 1 145.7235 163.9398 cm + 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0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -220.9042 -655.2313 cm BT -/F8 9.9626 Tf 225.8855 655.2313 Td[(Du)1(plicate)-334(co)-28(e\016)-1(cien)28(ts)-334(shou)1(ld)-333(b)-27(e)-334(add)1(e)-1(d)1(;)]TJ -ET -1 0 0 1 145.7235 634.8777 cm +/F8 9.9626 Tf 225.886 655.231 Td [(Duplicate)-333(co)-28(e\016cien)28(ts)-334(should)-333(b)-28(e)-333(added;)]TJ 0 g 0 G -1 0 0 1 -145.7235 -634.8777 cm -BT -/F29 9.9626 Tf 150.7049 634.8777 Td[(ps)1(b)]TJ +/F27 9.9626 Tf -75.181 -20.353 Td [(psb)]TJ ET -1 0 0 1 168.6413 634.8777 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 168.641 635.077 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -168.6413 -634.8777 cm BT -/F29 9.9626 Tf 172.0785 634.8777 Td[(dupl)]TJ +/F27 9.9626 Tf 172.078 634.878 Td [(dupl)]TJ ET -1 0 0 1 195.0433 634.8777 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 195.043 635.077 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -195.0433 -634.8777 cm BT -/F29 9.9626 Tf 198.4804 634.8777 Td[(err)]TJ +/F27 9.9626 Tf 198.48 634.878 Td [(err)]TJ ET -1 0 0 1 213.8557 634.8777 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 213.856 635.077 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -217.2928 -634.8777 cm BT -/F8 9.9626 Tf 222.2742 634.8777 Td[(Du)1(plicate)-334(co)-28(e\016)-1(cien)28(ts)-334(shou)1(ld)-333(tri)1(gge)-1(r)-333(an)-333(error)-333(cond)1(itin)1(o)]TJ -ET -1 0 0 1 145.7235 614.524 cm +/F8 9.9626 Tf 222.274 634.878 Td [(Duplicate)-333(co)-28(e\016cien)28(ts)-334(should)-333(trigger)-333(an)-334(error)-333(conditino)]TJ 0 g 0 G -1 0 0 1 -145.7235 -614.524 cm -BT -/F29 9.9626 Tf 150.7048 614.524 Td[(psb)]TJ +/F27 9.9626 Tf -71.569 -20.354 Td [(psb)]TJ ET -1 0 0 1 168.6413 614.524 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 168.641 614.723 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -168.6413 -614.524 cm BT -/F29 9.9626 Tf 172.0784 614.524 Td[(up)-32(d)]TJ +/F27 9.9626 Tf 172.078 614.524 Td [(up)-32(d)]TJ ET -1 0 0 1 192.179 614.524 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 192.179 614.723 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -192.179 -614.524 cm BT -/F29 9.9626 Tf 195.6162 614.524 Td[(d\015t)]TJ +/F27 9.9626 Tf 195.616 614.524 Td [(d\015t)]TJ ET -1 0 0 1 213.489 614.524 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 213.489 614.723 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -216.9261 -614.524 cm BT -/F8 9.9626 Tf 221.9074 614.524 Td[(Defau)1(lt)-333(up)-27(date)-334(strat)1(e)-1(gy)-333(for)-333(matri)1(x)-333(c)-1(o)-28(e\016c)-1(ien)28(ts;)]TJ -ET -1 0 0 1 145.7235 594.1703 cm +/F8 9.9626 Tf 221.907 614.524 Td [(Default)-333(up)-28(date)-333(strategy)-334(for)-333(matrix)-333(co)-28(e\016cien)28(ts;)]TJ 0 g 0 G -1 0 0 1 -145.7235 -594.1703 cm -BT -/F29 9.9626 Tf 150.7048 594.1703 Td[(psb)]TJ +/F27 9.9626 Tf -71.202 -20.354 Td [(psb)]TJ ET -1 0 0 1 168.6413 594.1703 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 168.641 594.37 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -168.6413 -594.1703 cm BT -/F29 9.9626 Tf 172.0784 594.1703 Td[(up)-32(d)]TJ +/F27 9.9626 Tf 172.078 594.17 Td [(up)-32(d)]TJ ET -1 0 0 1 192.179 594.1703 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 192.179 594.37 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -192.179 -594.1703 cm BT -/F29 9.9626 Tf 195.6162 594.1703 Td[(sr)1(c)32(h)]TJ +/F27 9.9626 Tf 195.616 594.17 Td [(src)32(h)]TJ ET -1 0 0 1 216.6798 594.1703 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 216.68 594.37 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -220.1169 -594.1703 cm BT -/F8 9.9626 Tf 225.0982 594.1703 Td[(Up)-27(date)-334(strat)1(e)-1(gy)-333(based)-333(on)-333(s)-1(earc)27(h)-332(in)28(to)-333(the)-333(data)-333(s)-1(tr)1(uctur)1(e)-1(;)]TJ -ET -1 0 0 1 145.7235 573.8166 cm +/F8 9.9626 Tf 225.098 594.17 Td [(Up)-28(date)-333(strategy)-333(base)-1(d)-333(on)-333(searc)28(h)-334(in)28(to)-333(the)-334(data)-333(structure;)]TJ 0 g 0 G -1 0 0 1 -145.7235 -573.8166 cm -BT -/F29 9.9626 Tf 150.7049 573.8166 Td[(ps)1(b)]TJ +/F27 9.9626 Tf -74.393 -20.353 Td [(psb)]TJ ET -1 0 0 1 168.6413 573.8166 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 168.641 574.016 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -168.6413 -573.8166 cm BT -/F29 9.9626 Tf 172.0785 573.8166 Td[(up)-32(d)]TJ +/F27 9.9626 Tf 172.078 573.817 Td [(up)-32(d)]TJ ET -1 0 0 1 192.179 573.8166 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 192.179 574.016 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -192.179 -573.8166 cm BT -/F29 9.9626 Tf 195.6162 573.8166 Td[(p)-32(erm)]TJ +/F27 9.9626 Tf 195.616 573.817 Td [(p)-32(erm)]TJ ET -1 0 0 1 222.5038 573.8166 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 222.504 574.016 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 3.4371 0 cm 0 g 0 G -1 0 0 1 -225.9409 -573.8166 cm BT -/F8 9.9626 Tf 230.9222 573.8166 Td[(Up)-27(date)-398(s)-1(tr)1(ate)-1(gy)-398(b)1(as)-1(ed)-398(on)-398(ad)1(di)1(tional)-398(p)-27(erm)27(u)1(tation)-397(data)-398(\050se)-1(e)]TJ -55.3107 -11.9551 Td[(to)-28(ol)1(s)-334(rou)1(tine)-333(des)-1(crip)1(tion\051.)]TJ/F18 11.9552 Tf -24.9066 -28.4567 Td[(3.)-1(3)-1125(Pre)-1(condi)-1(ti)-1(one)-1(r)-375(data)-375(st)-1(ruct)-1(ure)]TJ/F8 9.9626 Tf 0 -18.5886 Td[(Ou)1(r)-383(base)-384(l)1(ibr)1(ary)-383(o\013e)-1(r)1(s)-384(sup)1(p)-28(or)1(t)-383(for)-383(simple)-383(w)27(ell)-383(k)1(no)28(wn)-383(pr)1(e)-1(cond)1(ition)1(e)-1(r)1(s)-384(lik)28(e)-383(Di-)]TJ 0 -11.9552 Td[(agonal)-333(S)1(c)-1(al)1(ing)-333(or)-333(Blo)-28(c)27(k)-333(Jacobi)-333(with)-333(i)1(ncom)-1(p)1(le)-1(t)1(e)-334(factorization)-333(ILU\0500\051)1(.)]TJ 14.9439 -12.0623 Td[(A)-427(precondi)1(tioner)-427(is)-428(h)1(e)-1(ld)-427(i)1(n)-428(t)1(he)]TJ/F32 9.9626 Tf 142.7232 0 Td[(psb)]TJ +/F8 9.9626 Tf 230.922 573.817 Td [(Up)-28(date)-398(strategy)-398(based)-398(on)-398(additional)-398(p)-28(erm)28(utation)-398(data)-398(\050s)-1(ee)]TJ -55.311 -11.956 Td [(to)-28(ols)-333(routine)-333(desc)-1(r)1(iption\051.)]TJ/F16 11.9552 Tf -24.906 -28.456 Td [(3.3)-1125(Preconditioner)-375(data)-375(structure)]TJ/F8 9.9626 Tf 0 -18.589 Td [(Our)-383(base)-383(library)-383(o\013ers)-383(supp)-28(ort)-383(for)-383(simple)-383(w)28(ell)-383(kno)27(wn)-383(precondition)1(e)-1(r)1(s)-384(lik)28(e)-383(Di-)]TJ 0 -11.955 Td [(agonal)-333(Scaling)-334(or)-333(Blo)-28(c)28(k)-333(Jacobi)-334(with)-333(incomplete)-333(factorization)-333(ILU\0500\051.)]TJ 14.944 -12.062 Td [(A)-427(preconditioner)-428(is)-427(held)-428(in)-427(the)]TJ/F30 9.9626 Tf 142.723 0 Td [(psb)]TJ ET -1 0 0 1 324.6906 490.7987 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 324.691 490.998 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -324.6906 -490.7987 cm BT -/F32 9.9626 Tf 327.8289 490.7987 Td[(prec)]TJ +/F30 9.9626 Tf 327.829 490.799 Td [(prec)]TJ ET -1 0 0 1 349.3778 490.7987 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 349.378 490.998 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -349.3778 -490.7987 cm BT -/F32 9.9626 Tf 352.516 490.7987 Td[(type)]TJ/F8 9.9626 Tf 25.1801 0 Td[(dat)1(a)-428(stru)1(c)-1(tu)1(re)-428(rep)-27(orted)-427(in)]TJ -226.9912 -11.9552 Td[(\014gu)1(re)]TJ -ET -1 0 0 1 178.681 478.8436 cm +/F30 9.9626 Tf 352.516 490.799 Td [(type)]TJ/F8 9.9626 Tf 25.18 0 Td [(data)-427(structure)-428(rep)-28(orted)-427(in)]TJ -226.991 -11.955 Td [(\014gure)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -178.681 -478.8436 cm -BT -/F8 9.9626 Tf 178.681 478.8436 Td[(5)]TJ -ET -1 0 0 1 183.6624 478.8436 cm + [-361(5)]TJ 0 g 0 G -1 0 0 1 -183.6624 -478.8436 cm -BT -/F8 9.9626 Tf 183.6624 478.8436 Td[(.)-527(The)]TJ/F32 9.9626 Tf 28.7717 0 Td[(psb_prec_type)]TJ/F8 9.9626 Tf 71.5898 0 Td[(dat)1(a)-361(t)28(yp)-28(e)-361(ma)28(y)-361(c)-1(on)29(tain)-360(a)-361(s)-1(imp)1(le)-362(p)1(rec)-1(on)1(dit)1(ionin)1(g)]TJ -133.319 -11.9552 Td[(matrix)-395(with)-395(th)1(e)-396(as)-1(so)-28(ciated)-396(comm)27(u)1(nication)-395(d)1(e)-1(sc)-1(r)1(iptor)1(.The)-396(v)56(alu)1(e)-1(s)-396(con)28(tain)1(e)-1(d)-395(in)]TJ 0 -11.9552 Td[(th)1(e)]TJ/F32 9.9626 Tf 16.6367 0 Td[(iprcparm)]TJ/F8 9.9626 Tf 44.6424 0 Td[(and)]TJ/F32 9.9626 Tf 18.8507 0 Td[(rprcparm)]TJ/F8 9.9626 Tf 44.6424 0 Td[(de\014n)1(e)-282(t)1(ha)-281(t)28(yp)-27(e)-282(of)-280(precondi)1(tioner)-281(alon)1(g)-281(with)-281(al)1(l)-281(the)]TJ -124.7722 -11.9551 Td[(par)1(am)-1(eters)-421(r)1(e)-1(lated)-420(to)-420(it;)-463(th)28(us,)]TJ/F32 9.9626 Tf 139.3967 0 Td[(iprcparm)]TJ/F8 9.9626 Tf 46.0303 0 Td[(and)]TJ/F32 9.9626 Tf 20.2386 0 Td[(rprcparm)]TJ/F8 9.9626 Tf 46.0304 0 Td[(de\014n)1(e)-421(h)1(o)27(w)-420(the)-420(other)]TJ -251.696 -11.9552 Td[(rec)-1(or)1(ds)-282(ha)28(v)28(e)-282(to)-282(b)-27(e)-282(in)28(terp)1(rete)-1(d)1(.)-427(T)-1(h)1(is)-282(data)-281(s)-1(tr)1(uctur)1(e)-283(i)1(s)-283(t)1(he)-282(basis)-282(of)-282(more)-282(com)-1(p)1(lex)]TJ 0 -11.9552 Td[(pr)1(e)-1(cond)1(ition)1(ing)-333(strategie)-1(s,)-333(whic)28(h)-333(are)-334(th)1(e)-334(sub)-55(ject)-334(of)-333(f)1(ur)1(ther)-333(res)-1(earc)27(h)1(.)]TJ/F18 11.9552 Tf 0 -28.4566 Td[(3.)-1(4)-1125(D)-1(ata)-375(str)-1(uctur)-1(e)-375(quer)-1(y)-374(r)-1(out)-1(ine)-1(s)]TJ -ET -1 0 0 1 145.7235 355.9751 cm + [(.)-527(The)]TJ/F30 9.9626 Tf 61.729 0 Td [(psb_prec_type)]TJ/F8 9.9626 Tf 71.59 0 Td [(data)-361(t)28(yp)-28(e)-361(ma)28(y)-361(con)28(tain)-361(a)-361(simple)-361(preconditionin)1(g)]TJ -133.319 -11.956 Td [(matrix)-395(with)-396(the)-395(asso)-28(ciated)-396(comm)28(unication)-395(desc)-1(r)1(iptor.The)-396(v)56(alues)-396(con)28(tained)-395(in)]TJ 0 -11.955 Td [(the)]TJ/F30 9.9626 Tf 16.637 0 Td [(iprcparm)]TJ/F8 9.9626 Tf 44.642 0 Td [(and)]TJ/F30 9.9626 Tf 18.851 0 Td [(rprcparm)]TJ/F8 9.9626 Tf 44.642 0 Td [(de\014ne)-281(tha)-281(t)28(yp)-28(e)-281(of)-281(preconditioner)-281(along)-281(with)-281(all)-281(the)]TJ -124.772 -11.955 Td [(parameters)-420(related)-421(to)-420(it;)-464(th)28(us,)]TJ/F30 9.9626 Tf 139.397 0 Td [(iprcparm)]TJ/F8 9.9626 Tf 46.03 0 Td [(and)]TJ/F30 9.9626 Tf 20.239 0 Td [(rprcparm)]TJ/F8 9.9626 Tf 46.03 0 Td [(de\014ne)-420(ho)28(w)-421(the)-420(other)]TJ -251.696 -11.955 Td [(records)-282(ha)28(v)28(e)-282(to)-282(b)-27(e)-282(in)28(terpreted.)-428(This)-281(data)-282(structure)-282(is)-282(the)-281(basis)-282(of)-282(more)-282(complex)]TJ 0 -11.955 Td [(preconditioning)-333(strategies,)-334(whic)28(h)-333(are)-333(the)-334(sub)-55(ject)-334(of)-333(further)-333(researc)28(h.)]TJ/F16 11.9552 Tf 0 -28.457 Td [(3.4)-1125(Data)-375(structure)-375(query)-375(routines)]TJ 0 g 0 G 0 g 0 G -1 0 0 1 -145.7235 -355.9751 cm -BT -/F18 11.9552 Tf 150.7049 355.9751 Td[(psb)]TJ + 0 -34.636 Td [(psb)]TJ ET -1 0 0 1 171.7609 355.9751 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -4.0349 0.1992 l -S +1 0 0 1 171.761 356.174 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q -1 0 0 1 -171.7609 -355.9751 cm BT -/F18 11.9552 Tf 175.7958 355.9751 Td[(cd)]TJ +/F16 11.9552 Tf 175.796 355.975 Td [(cd)]TJ ET -1 0 0 1 190.0523 355.9751 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -4.0349 0.1992 l -S +1 0 0 1 190.052 356.174 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q -1 0 0 1 -190.0523 -355.9751 cm BT -/F18 11.9552 Tf 194.0872 355.9751 Td[(ge)-1(t)]TJ +/F16 11.9552 Tf 194.087 355.975 Td [(get)]TJ ET -1 0 0 1 212.986 355.9751 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -4.0349 0.1992 l -S +1 0 0 1 212.986 356.174 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q -1 0 0 1 -212.986 -355.9751 cm BT -/F18 11.9552 Tf 217.0209 355.9751 Td[(lo)-32(cal)]TJ +/F16 11.9552 Tf 217.021 355.975 Td [(lo)-31(cal)]TJ ET -1 0 0 1 244.9138 355.9751 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -4.0349 0.1992 l -S +1 0 0 1 244.914 356.174 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q -1 0 0 1 -244.9138 -355.9751 cm BT -/F18 11.9552 Tf 248.9487 355.9751 Td[(ro)30(ws|Ge)-1(t)-375(n)31(um)31(b)-31(e)-1(r)-375(o)-1(f)-374(l)-1(o)-32(ca)1(l)-376(ro)30(ws)]TJ/F18 14.3462 Tf -98.2438 -32.7506 Td[(Syn)32(t)-1(ax)]TJ/F8 9.9626 Tf 98.9788 -21.9131 Td[(nr)-333(=)-333(p)1(s)-1(b)]TJ +/F16 11.9552 Tf 248.949 355.975 Td [(ro)31(ws|Get)-375(n)32(um)31(b)-31(er)-375(of)-376(lo)-31(cal)-375(ro)32(ws)]TJ/F16 14.3462 Tf -98.244 -32.75 Td [(Syn)31(tax)]TJ/F8 9.9626 Tf 98.979 -21.914 Td [(nr)-333(=)-334(psb)]TJ ET -1 0 0 1 289.1081 301.3114 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 289.108 301.511 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -289.1081 -301.3114 cm BT -/F8 9.9626 Tf 292.0969 301.3114 Td[(cd)]TJ +/F8 9.9626 Tf 292.097 301.311 Td [(cd)]TJ ET -1 0 0 1 302.6573 301.3114 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 302.657 301.511 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 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Tf -241.3695 -43.6201 Td[(Syn)32(t)-1(ax)]TJ/F8 9.9626 Tf 109.6849 -21.9048 Td[(psb)]TJ +/F16 14.3462 Tf 130.004 679.836 Td [(geamax|In\014nit)31(y-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -30.109 -30.167 Td [(This)-333(function)-334(computes)-333(the)-333(in\014nit)28(y-norm)-334(of)-333(a)-333(v)27(ector)]TJ/F11 9.9626 Tf 233.182 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -238.876 -11.955 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(real)-333(v)28(ector)-334(it)-333(computes)-333(in\014nit)28(y)-334(norm)-333(as:)]TJ/F11 9.9626 Tf 115.269 -22.112 Td [(amax)]TJ/F14 9.9626 Tf 27.741 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.861 -6.276 Td [(i)]TJ/F14 9.9626 Tf 12.341 6.276 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(j)]TJ/F8 9.9626 Tf -206.698 -25.344 Td [(else)-333(if)]TJ/F11 9.9626 Tf 28.007 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(is)-333(a)-334(complex)-333(v)28(ector)-334(then)-333(it)-333(computes)-334(in\014nit)28(y-norm)-333(as:)]TJ/F11 9.9626 Tf 61.447 -22.113 Td [(amax)]TJ/F14 9.9626 Tf 27.74 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.862 -6.275 Td [(i)]TJ/F8 9.9626 Tf 12.341 6.275 Td [(\050)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(r)-28(e)]TJ/F8 9.9626 Tf 9.411 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F8 9.9626 Tf 3.317 1.494 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ/F8 9.9626 Tf 4.981 0 Td [(+)]TJ/F14 9.9626 Tf 9.963 0 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(im)]TJ/F8 9.9626 Tf 12.18 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F8 9.9626 Tf 3.317 1.494 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ/F8 9.9626 Tf 2.768 0 Td [(\051)]TJ/F16 14.3462 Tf -241.37 -43.62 Td [(Syn)31(tax)]TJ/F8 9.9626 Tf 109.685 -21.904 Td [(psb)]TJ ET -1 0 0 1 225.1774 502.6205 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 225.177 502.82 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -225.1774 -502.6205 cm BT -/F8 9.9626 Tf 228.1662 502.6205 Td[(geam)-1(ax)-333(\050)]TJ/F19 9.9626 Tf 40.1274 0 Td[(x,)-357(desc)]TJ +/F8 9.9626 Tf 228.166 502.621 Td [(geamax)-333(\050)]TJ/F17 9.9626 Tf 40.128 0 Td [(x,)-358(desc)]TJ ET -1 0 0 1 298.4769 502.6205 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 298.477 502.82 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -298.4769 -502.6205 cm BT -/F19 9.9626 Tf 301.5321 502.6205 Td[(a,)-358(i)1(nfo)]TJ/F8 9.9626 Tf 28.5151 0 Td[(\051)]TJ -ET -1 0 0 1 99.8954 476.0247 cm +/F17 9.9626 Tf 301.532 502.621 Td [(a,)-358(info)]TJ/F8 9.9626 Tf 28.515 0 Td [(\051)]TJ 0 g 0 G -1 0 0 1 24.2062 -32.9763 cm 0 g 0 G 0 g 0 G -1 0 0 1 4.9813 32.5778 cm +ET q -[]0 d -0 J -0.3985 w -0 0.1992 m -285.3361 0.1992 l -S +1 0 0 1 129.083 475.826 cm +[]0 d 0 J 0.398 w 0 0 m 285.336 0 l S Q -1 0 0 1 -129.0829 -475.6262 cm BT -/F11 9.9626 Tf 135.0605 467.2576 Td[(ama)1(x)-7676(x)]TJ/F29 9.9626 Tf 221.8629 0 Td[(F)96(unction)]TJ +/F11 9.9626 Tf 135.06 467.258 Td [(amax)-7677(x)]TJ/F27 9.9626 Tf 221.863 0 Td [(F)96(unction)]TJ ET -1 0 0 1 129.0829 463.2726 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -285.3361 0.1992 l -S +1 0 0 1 129.083 463.472 cm +[]0 d 0 J 0.398 w 0 0 m 285.336 0 l S Q -1 0 0 1 -129.0829 -463.2726 cm BT -/F8 9.9626 Tf 135.0605 454.904 Td[(Sh)1(ort)-333(Pr)1(e)-1(cision)-333(Re)-1(al)-1199(Sh)1(o)-1(r)1(t)-333(Prec)-1(i)1(s)-1(ion)-332(R)-1(eal)-3103(p)1(s)-1(b)]TJ +/F8 9.9626 Tf 135.06 454.904 Td [(Short)-333(Precision)-334(Real)-1200(Short)-333(Precision)-333(Real)-3103(psb)]TJ ET -1 0 0 1 372.5204 454.904 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 372.52 455.103 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -372.5204 -454.904 cm BT -/F8 9.9626 Tf 375.5092 454.904 Td[(geam)-1(ax)]TJ -240.4487 -11.9552 Td[(Long)-333(P)1(re)-1(cision)-333(Real)-1411(Long)-333(Precis)-1(i)1(on)-333(Re)-1(al)-3314(p)1(s)-1(b)]TJ +/F8 9.9626 Tf 375.509 454.904 Td [(geamax)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Re)-1(al)-3313(psb)]TJ ET -1 0 0 1 372.5204 442.9488 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 372.52 443.148 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -372.5204 -442.9488 cm BT -/F8 9.9626 Tf 375.5092 442.9488 Td[(geam)-1(ax)]TJ -240.4487 -11.9552 Td[(Sh)1(ort)-333(Pr)1(e)-1(cision)-333(Re)-1(al)-1199(Sh)1(ort)-333(Prec)-1(i)1(s)-1(ion)-332(C)-1(ompl)1(e)-1(x)-1200(p)1(s)-1(b)]TJ +/F8 9.9626 Tf 375.509 442.949 Td [(geamax)]TJ -240.449 -11.955 Td [(Short)-333(Precision)-334(Real)-1200(Short)-333(Precision)-333(Complex)-1200(psb)]TJ ET -1 0 0 1 372.5204 430.9937 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 372.52 431.193 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -372.5204 -430.9937 cm BT -/F8 9.9626 Tf 375.5092 430.9937 Td[(geam)-1(ax)]TJ -240.4487 -11.9552 Td[(Long)-333(P)1(re)-1(cision)-333(Real)-1411(Long)-333(Precis)-1(i)1(on)-333(C)-1(omp)1(le)-1(x)-1411(p)1(s)-1(b)]TJ +/F8 9.9626 Tf 375.509 430.994 Td [(geamax)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Com)-1(p)1(lex)-1412(psb)]TJ ET -1 0 0 1 372.5204 419.0385 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 372.52 419.238 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -372.5204 -419.0385 cm BT -/F8 9.9626 Tf 375.5092 419.0385 Td[(geam)-1(ax)]TJ +/F8 9.9626 Tf 375.509 419.038 Td [(geamax)]TJ ET -1 0 0 1 129.0829 415.0534 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -285.3361 0.1992 l -S +1 0 0 1 129.083 415.253 cm +[]0 d 0 J 0.398 w 0 0 m 285.336 0 l S Q -1 0 0 1 98.9846 -27.84 cm 0 g 0 G -1 0 0 1 -228.0675 -387.2134 cm BT -/F8 9.9626 Tf 228.0675 387.2134 Td[(T)83(ab)1(le)-334(4:)-444(Data)-333(t)28(yp)-28(es)]TJ -ET -1 0 0 1 315.4344 387.2134 cm +/F8 9.9626 Tf 228.067 387.213 Td [(T)83(able)-333(4:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G -1 0 0 1 -215.539 -1.9372 cm 0 g 0 G -1 0 0 1 -4.9813 -31.8693 cm 0 g 0 G -1 0 0 1 -94.9141 -353.4069 cm -BT -/F29 9.9626 Tf 99.8954 353.4069 Td[(T)32(yp)-32(e:)]TJ -ET -1 0 0 1 128.7108 353.4069 cm +/F27 9.9626 Tf -128.172 -33.806 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -1 0 0 1 -128.7108 -353.4069 cm -BT -/F8 9.9626 Tf 133.6921 353.4069 Td[(Sy)1(nc)27(h)1(ron)1(ous.)]TJ -ET -1 0 0 1 94.9141 333.092 cm +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -333.092 cm -BT -/F29 9.9626 Tf 99.8954 333.092 Td[(On)-383(En)32(tr)1(y)]TJ -ET -1 0 0 1 147.4806 333.092 cm +/F27 9.9626 Tf -33.797 -20.315 Td [(On)-383(En)32(try)]TJ 0 g 0 G -1 0 0 1 -52.5665 -20.3149 cm 0 g 0 G -1 0 0 1 -94.9141 -312.7771 cm -BT -/F29 9.9626 Tf 99.8954 312.7771 Td[(x)]TJ -ET -1 0 0 1 105.9421 312.7771 cm + 0 -20.315 Td [(x)]TJ 0 g 0 G -1 0 0 1 -105.9421 -312.7771 cm -BT -/F8 9.9626 Tf 110.9235 312.7771 Td[(th)1(e)-334(lo)-28(cal)-333(p)-28(or)1(tion)-333(of)-333(glob)1(al)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 176.1177 0 Td[(x)]TJ/F8 9.9626 Tf 5.6939 0 Td[(.)]TJ -167.9331 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3787 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3787 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6113 0 Td[(required)]TJ/F8 9.9626 Tf -29.6113 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-289(as:)-423(a)-289(ran)1(k)-290(on)1(e)-290(or)-290(t)28(w)28(o)-290(arr)1(a)28(y)-290(con)28(tain)1(ing)-289(n)28(um)28(b)-27(e)-1(rs)-290(of)-289(t)28(yp)-27(e)-290(s)-1(p)-27(ec)-1(i\014)1(e)-1(d)]TJ 0 -11.9551 Td[(in)-333(T)83(ab)1(le)]TJ -ET -1 0 0 1 163.8224 253.0013 cm +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-289(as:)-423(a)-290(ran)1(k)-290(one)-290(or)-289(t)28(w)27(o)-289(arra)27(y)-289(con)28(taining)-290(n)28(um)28(b)-28(ers)-290(of)-289(t)28(yp)-28(e)-290(sp)-28(eci\014ed)]TJ 0 -11.955 Td [(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -163.8224 -253.0013 cm -BT -/F8 9.9626 Tf 163.8224 253.0013 Td[(4)]TJ -ET -1 0 0 1 168.8038 253.0013 cm + [-333(4)]TJ 0 g 0 G -1 0 0 1 -168.8038 -253.0013 cm -BT -/F8 9.9626 Tf 168.8038 253.0013 Td[(.)]TJ -ET -1 0 0 1 94.9141 232.6864 cm + [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -232.6864 cm -BT -/F29 9.9626 Tf 99.8954 232.6864 Td[(desc)]TJ +/F27 9.9626 Tf -24.907 -20.315 Td [(desc)]TJ ET -1 0 0 1 121.81 232.6864 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 121.81 232.886 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -121.81 -232.6864 cm BT -/F29 9.9626 Tf 125.2471 232.6864 Td[(a)]TJ -ET -1 0 0 1 130.8165 232.6864 cm +/F27 9.9626 Tf 125.247 232.686 Td [(a)]TJ 0 g 0 G -1 0 0 1 -130.8165 -232.6864 cm -BT -/F8 9.9626 Tf 135.7978 232.6864 Td[(con)28(tain)1(s)-334(data)-333(structu)1(re)-1(s)-333(for)-333(com)-1(m)28(un)1(ic)-1(ati)1(ons.)]TJ -10.9958 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3787 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3787 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6113 0 Td[(required)]TJ/F8 9.9626 Tf -29.6113 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(a)-333(s)-1(tr)1(uctured)-333(dat)1(a)-334(of)-333(t)28(yp)-27(e)]TJ -ET -1 0 0 1 295.717 184.8657 cm +/F8 9.9626 Tf 10.551 0 Td 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Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3787 0 Td[(global)]TJ/F8 9.9626 Tf -32.3787 -11.9552 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6112 0 Td[(required)]TJ/F8 9.9626 Tf -29.6112 -11.9551 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(a)-333(n)28(um)28(b)-28(er)-333(of)-333(the)-333(data)-333(t)28(yp)-27(e)-334(in)1(dicate)-1(d)-332(in)-333(T)83(abl)1(e)]TJ -ET -1 0 0 1 383.0839 638.715 cm +/F8 9.9626 Tf 32.033 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.468 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(.)]TJ -59.004 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)28(yp)-28(e)-334(ind)1(ic)-1(ated)-333(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -383.0839 -638.715 cm -BT -/F8 9.9626 Tf 383.0839 638.715 Td[(12)]TJ -ET -1 0 0 1 393.0466 638.715 cm + [-333(12)]TJ 0 g 0 G -1 0 0 1 -393.0466 -638.715 cm -BT -/F8 9.9626 Tf 393.0466 638.715 Td[(.)]TJ -ET -1 0 0 1 94.9141 619.1218 cm + [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -619.1218 cm -BT -/F29 9.9626 Tf 99.8954 619.1218 Td[(t)]TJ -ET -1 0 0 1 104.3509 619.1218 cm +/F27 9.9626 Tf -24.907 -19.593 Td [(t)]TJ 0 g 0 G -1 0 0 1 -104.3509 -619.1218 cm -BT -/F8 9.9626 Tf 109.3322 619.1218 Td[(th)1(e)-334(global)-333(p)-27(orti)1(on)-333(of)-333(the)-333(s)-1(p)1(ars)-1(e)-333(m)-1(atr)1(ix)]TJ/F11 9.9626 Tf 172.6031 0 Td[(T)]TJ/F8 9.9626 Tf 7.2056 0 Td[(.)]TJ -164.3389 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3787 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3787 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6112 0 Td[(required)]TJ/F8 9.9626 Tf -29.6112 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(a)-333(s)-1(tr)1(uctured)-333(dat)1(a)-334(t)28(yp)-27(e)-334(sp)-28(eci\014ed)-333(in)]TJ/F14 9.9626 Tf 211.3744 0 Td[(x)]TJ -ET -1 0 0 1 343.9251 571.3011 cm +/F8 9.9626 Tf 9.437 0 Td [(the)-333(global)-334(p)-27(ortion)-334(of)-333(the)-333(sparse)-334(matrix)]TJ/F11 9.9626 Tf 172.603 0 Td [(T)]TJ/F8 9.9626 Tf 7.206 0 Td [(.)]TJ -164.339 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(t)27(yp)-27(e)-334(sp)-28(eci\014ed)-333(in)]TJ/F14 9.9626 Tf 211.374 0 Td [(x)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -343.9251 -571.3011 cm -BT -/F8 9.9626 Tf 343.9251 571.3011 Td[(3)]TJ -ET -1 0 0 1 348.9065 571.3011 cm +/F8 9.9626 Tf 7.749 0 Td [(3)]TJ 0 g 0 G -1 0 0 1 -348.9065 -571.3011 cm -BT -/F8 9.9626 Tf 348.9065 571.3011 Td[(.)]TJ -ET -1 0 0 1 94.9141 551.7079 cm + [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -551.7079 cm -BT -/F29 9.9626 Tf 99.8954 551.7079 Td[(x)]TJ -ET -1 0 0 1 105.9421 551.7079 cm +/F27 9.9626 Tf -244.03 -19.593 Td [(x)]TJ 0 g 0 G -1 0 0 1 -105.9421 -551.7079 cm -BT -/F8 9.9626 Tf 110.9235 551.7079 Td[(th)1(e)-334(lo)-28(cal)-333(p)-28(or)1(tion)-333(of)-333(glob)1(al)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 176.1177 0 Td[(x)]TJ/F8 9.9626 Tf 5.6939 0 Td[(.)]TJ -167.9331 -11.9551 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3787 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3787 -11.9552 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6113 0 Td[(required)]TJ/F8 9.9626 Tf -29.6113 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9551 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-289(as:)-423(a)-289(ran)1(k)-290(on)1(e)-290(or)-290(t)28(w)28(o)-290(arr)1(a)28(y)-290(con)28(tain)1(ing)-289(n)28(um)28(b)-27(e)-1(rs)-290(of)-289(t)28(yp)-27(e)-290(s)-1(p)-27(ec)-1(i\014)1(e)-1(d)]TJ 0 -11.9552 Td[(in)-333(T)83(ab)1(le)]TJ -ET -1 0 0 1 163.8224 491.9321 cm +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-289(as:)-423(a)-290(ran)1(k)-290(one)-290(or)-289(t)28(w)27(o)-289(arra)27(y)-289(con)28(taining)-290(n)28(um)28(b)-28(ers)-290(of)-289(t)28(yp)-28(e)-290(sp)-28(eci\014ed)]TJ 0 -11.955 Td [(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -163.8224 -491.9321 cm -BT -/F8 9.9626 Tf 163.8224 491.9321 Td[(12)]TJ -ET -1 0 0 1 173.7851 491.9321 cm + [-333(12)]TJ 0 g 0 G -1 0 0 1 -173.7851 -491.9321 cm -BT -/F8 9.9626 Tf 173.7851 491.9321 Td[(.)-444(The)-334(r)1(ank)-333(of)]TJ/F11 9.9626 Tf 62.0175 0 Td[(x)]TJ/F8 9.9626 Tf 9.0148 0 Td[(m)27(u)1(s)-1(t)-333(b)-27(e)-334(th)1(e)-334(s)-1(ame)-334(of)]TJ/F11 9.9626 Tf 91.7118 0 Td[(y)]TJ/F8 9.9626 Tf 5.2419 0 Td[(.)]TJ -ET -1 0 0 1 94.9141 472.3389 cm + [(.)-445(The)-333(rank)-333(of)]TJ/F11 9.9626 Tf 111.001 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(m)28(ust)-334(b)-27(e)-334(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 91.712 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -472.3389 cm -BT -/F29 9.9626 Tf 99.8954 472.3389 Td[(b)-32(eta)]TJ -ET -1 0 0 1 121.8546 472.3389 cm +/F27 9.9626 Tf -241.876 -19.593 Td [(b)-32(eta)]TJ 0 g 0 G -1 0 0 1 -121.8546 -472.3389 cm -BT -/F8 9.9626 Tf 126.8359 472.3389 Td[(th)1(e)-334(s)-1(calar)]TJ/F11 9.9626 Tf 45.4684 0 Td[(\014)]TJ/F8 9.9626 Tf 6.1609 0 Td[(.)]TJ -53.6632 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3786 0 Td[(global)]TJ/F8 9.9626 Tf -32.3786 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6112 0 Td[(required)]TJ/F8 9.9626 Tf -29.6112 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(a)-333(n)28(um)28(b)-28(er)-333(of)-333(the)-333(data)-333(t)28(yp)-27(e)-334(in)1(dicate)-1(d)-332(in)-333(T)83(abl)1(e)]TJ -ET -1 0 0 1 383.0839 424.5182 cm +/F8 9.9626 Tf 26.941 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.468 0 Td [(\014)]TJ/F8 9.9626 Tf 6.161 0 Td [(.)]TJ -53.663 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)28(yp)-28(e)-334(ind)1(ic)-1(ated)-333(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -383.0839 -424.5182 cm -BT -/F8 9.9626 Tf 383.0839 424.5182 Td[(12)]TJ -ET -1 0 0 1 393.0466 424.5182 cm + [-333(12)]TJ 0 g 0 G -1 0 0 1 -393.0466 -424.5182 cm -BT -/F8 9.9626 Tf 393.0466 424.5182 Td[(.)]TJ -ET -1 0 0 1 94.9141 404.925 cm + [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -404.925 cm -BT -/F29 9.9626 Tf 99.8954 404.925 Td[(y)]TJ -ET -1 0 0 1 105.9421 404.925 cm +/F27 9.9626 Tf -24.907 -19.593 Td [(y)]TJ 0 g 0 G -1 0 0 1 -105.9421 -404.925 cm -BT -/F8 9.9626 Tf 110.9235 404.925 Td[(th)1(e)-334(lo)-28(cal)-333(p)-28(or)1(tion)-333(of)-333(glob)1(al)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 176.1177 0 Td[(y)]TJ/F8 9.9626 Tf 5.2419 0 Td[(.)]TJ -167.4811 -11.9551 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3787 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3787 -11.9552 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6112 0 Td[(required)]TJ/F8 9.9626 Tf -29.6112 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(inout)]TJ/F8 9.9626 Tf 26.0964 0 Td[(.)]TJ -59.582 -11.9551 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-289(as:)-423(a)-289(ran)1(k)-290(on)1(e)-290(or)-290(t)28(w)28(o)-290(arr)1(a)28(y)-290(con)28(tain)1(ing)-289(n)28(um)28(b)-27(e)-1(rs)-290(of)-289(t)28(yp)-27(e)-290(s)-1(p)-27(ec)-1(i\014)1(e)-1(d)]TJ 0 -11.9552 Td[(in)-333(T)83(ab)1(le)]TJ -ET -1 0 0 1 163.8224 345.1492 cm +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-289(as:)-423(a)-290(ran)1(k)-290(one)-290(or)-289(t)28(w)27(o)-289(arra)27(y)-289(con)28(taining)-290(n)28(um)28(b)-28(ers)-290(of)-289(t)28(yp)-28(e)-290(sp)-28(eci\014ed)]TJ 0 -11.955 Td [(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -163.8224 -345.1492 cm -BT -/F8 9.9626 Tf 163.8224 345.1492 Td[(12)]TJ -ET -1 0 0 1 173.7851 345.1492 cm + [-333(12)]TJ 0 g 0 G -1 0 0 1 -173.7851 -345.1492 cm -BT -/F8 9.9626 Tf 173.7851 345.1492 Td[(.)-444(The)-334(r)1(ank)-333(of)]TJ/F11 9.9626 Tf 62.0175 0 Td[(y)]TJ/F8 9.9626 Tf 8.5628 0 Td[(m)27(u)1(s)-1(t)-333(b)-27(e)-334(th)1(e)-334(s)-1(ame)-334(of)]TJ/F11 9.9626 Tf 91.7118 0 Td[(x)]TJ/F8 9.9626 Tf 5.6939 0 Td[(.)]TJ -ET -1 0 0 1 94.9141 325.556 cm + [(.)-445(The)-333(rank)-333(of)]TJ/F11 9.9626 Tf 111.001 0 Td [(y)]TJ/F8 9.9626 Tf 8.562 0 Td [(m)28(ust)-334(b)-27(e)-334(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 91.712 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -325.556 cm -BT -/F29 9.9626 Tf 99.8954 325.556 Td[(desc)]TJ +/F27 9.9626 Tf -241.876 -19.593 Td [(desc)]TJ ET -1 0 0 1 121.81 325.556 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 121.81 325.755 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -121.81 -325.556 cm BT -/F29 9.9626 Tf 125.2471 325.556 Td[(a)]TJ -ET -1 0 0 1 130.8165 325.556 cm +/F27 9.9626 Tf 125.247 325.556 Td [(a)]TJ 0 g 0 G -1 0 0 1 -130.8165 -325.556 cm -BT -/F8 9.9626 Tf 135.7978 325.556 Td[(con)28(tain)1(s)-334(data)-333(structu)1(re)-1(s)-333(for)-333(com)-1(m)28(un)1(ic)-1(ati)1(ons.)]TJ -10.9958 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3787 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3787 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6113 0 Td[(required)]TJ/F8 9.9626 Tf -29.6113 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(a)-333(s)-1(tr)1(uctured)-333(dat)1(a)-334(of)-333(t)28(yp)-27(e)]TJ -ET -1 0 0 1 295.717 277.7353 cm +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -295.717 -277.7353 cm -BT -/F32 9.9626 Tf 295.717 277.7353 Td[(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET -1 0 0 1 312.0356 277.7353 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 312.036 277.935 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -312.0356 -277.7353 cm BT -/F32 9.9626 Tf 315.1738 277.7353 Td[(desc)]TJ +/F30 9.9626 Tf 315.174 277.735 Td [(desc)]TJ ET -1 0 0 1 336.7228 277.7353 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 336.723 277.935 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -336.7228 -277.7353 cm BT -/F32 9.9626 Tf 339.861 277.7353 Td[(type)]TJ -ET -1 0 0 1 360.7824 277.7353 cm +/F30 9.9626 Tf 339.861 277.735 Td [(type)]TJ 0 g 0 G -1 0 0 1 -360.7824 -277.7353 cm -BT -/F8 9.9626 Tf 360.7824 277.7353 Td[(.)]TJ -ET -1 0 0 1 94.9141 258.1421 cm +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -258.1421 cm -BT -/F29 9.9626 Tf 99.8954 258.1421 Td[(trans)]TJ -ET -1 0 0 1 125.5227 258.1421 cm +/F27 9.9626 Tf -260.887 -19.593 Td [(trans)]TJ 0 g 0 G -1 0 0 1 -125.5227 -258.1421 cm -BT -/F8 9.9626 Tf 130.5041 258.1421 Td[(sp)-28(ec)-1(i)1(fy)-333(with)]TJ/F19 9.9626 Tf 55.6802 0 Td[(unitd)]TJ/F8 9.9626 Tf 25.7256 0 Td[(th)1(e)-334(op)-28(erati)1(on)-333(to)-333(p)-28(erf)1(orm.)]TJ -ET -1 0 0 1 119.8207 238.549 cm +/F8 9.9626 Tf 30.609 0 Td [(sp)-28(ecify)-333(with)]TJ/F17 9.9626 Tf 55.68 0 Td [(unitd)]TJ/F8 9.9626 Tf 25.726 0 Td [(the)-333(op)-28(eration)-333(to)-334(p)-27(erform.)]TJ 0 g 0 G -1 0 0 1 -119.8207 -238.549 cm -BT -/F29 9.9626 Tf 124.802 238.549 Td[(trans)-383(=)-383(')-1(N')]TJ -ET -1 0 0 1 182.3097 238.549 cm +/F27 9.9626 Tf -87.108 -19.593 Td [(trans)-383(=)-384('N')]TJ 0 g 0 G -1 0 0 1 -182.3097 -238.549 cm -BT -/F8 9.9626 Tf 187.291 238.549 Td[(th)1(e)-334(op)-28(erati)1(on)-333(is)-334(with)-333(n)1(o)-333(transp)-27(os)-1(ed)-333(m)-1(at)1(rix)]TJ -ET -1 0 0 1 119.8207 222.9408 cm +/F8 9.9626 Tf 62.489 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(no)-333(transp)-28(osed)-333(matrix)]TJ 0 g 0 G -1 0 0 1 -119.8207 -222.9408 cm -BT -/F29 9.9626 Tf 124.802 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564.7767 Td[(is)-334(t)1(he)-334(o)28(v)28(erlap)-333(op)-27(e)-1(r)1(ator;)-333(it)-333(is)-334(t)1(he)-334(com)-1(p)-27(osition)-333(of)-333(t)28(w)28(o)-333(op)-28(erator)1(s)]TJ/F11 9.9626 Tf 271.8422 0 Td[(P)]TJ/F10 6.9738 Tf 6.3961 -1.4944 Td[(a)]TJ/F8 9.9626 Tf 8.1405 1.4944 Td[(and)]TJ/F11 9.9626 Tf 19.3718 0 Td[(P)]TJ/F10 6.9738 Tf 7.7799 3.6154 Td[(T)]TJ/F8 9.9626 Tf 6.2761 -3.6154 Td[(.)]TJ -ET -1 0 0 1 150.7049 542.9072 cm +/F8 9.9626 Tf 12.857 0 Td [(is)-333(the)-334(o)28(v)28(erlap)-333(op)-28(erator;)-333(it)-334(is)-333(the)-333(co)-1(mp)-27(osition)-334(of)-333(t)28(w)28(o)-334(op)-27(erators)]TJ/F11 9.9626 Tf 271.842 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.495 Td [(a)]TJ/F8 9.9626 Tf 8.141 1.495 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.615 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.615 Td [(.)]TJ 0 g 0 G -1 0 0 1 73.1112 -32.9763 cm 0 g 0 G 0 g 0 G -1 0 0 1 4.9814 32.5778 cm +ET q -[]0 d -0 J -0.3985 w -0 0.1992 m -187.5259 0.1992 l -S +1 0 0 1 228.797 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293.2693 387.3613 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 293.269 387.561 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -293.2693 -387.3613 cm BT -/F8 9.9626 Tf 296.2581 387.3613 Td[(o)28(vrl)-333(\050)]TJ/F19 9.9626 Tf 23.8274 0 Td[(x,)-357(desc)]TJ +/F8 9.9626 Tf 296.258 387.361 Td [(o)28(vrl)-334(\050)]TJ/F17 9.9626 Tf 23.827 0 Td [(x,)-358(desc)]TJ ET -1 0 0 1 350.2687 387.3613 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 350.269 387.561 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -350.2687 -387.3613 cm BT -/F19 9.9626 Tf 353.324 387.3613 Td[(a,)-358(i)1(nfo)]TJ/F8 9.9626 Tf 28.5151 0 Td[(\051)]TJ -195.6799 -23.9104 Td[(call)-333(psb)]TJ +/F17 9.9626 Tf 353.324 387.361 Td [(a,)-358(info)]TJ/F8 9.9626 Tf 28.515 0 Td [(\051)]TJ -195.68 -23.91 Td [(call)-333(psb)]TJ ET -1 0 0 1 220.0212 363.4509 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 220.021 363.65 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 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9.9626 Tf 5.6939 0 Td[(.)]TJ -80.7321 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3786 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3786 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6112 0 Td[(required)]TJ/F8 9.9626 Tf -29.6112 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(inout)]TJ/F8 9.9626 Tf 26.0964 0 Td[(.)]TJ -59.582 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-289(as:)-423(a)-289(ran)1(k)-290(on)1(e)-290(or)-290(t)28(w)28(o)-290(arr)1(a)28(y)-290(con)28(tain)1(ing)-289(n)28(um)28(b)-27(e)-1(rs)-290(of)-289(t)28(yp)-27(e)-290(s)-1(p)-27(ec)-1(i\014)1(e)-1(d)]TJ 0 -11.9551 Td[(in)-333(T)83(ab)1(le)]TJ -ET -1 0 0 1 214.6319 239.8984 cm +/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.733 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 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cm BT -/F11 9.9626 Tf 307.7727 583.4083 Td[(x)]TJ/F7 6.9738 Tf 5.6939 -1.4944 Td[(1:)]TJ/F10 6.9738 Tf 6.2267 0 Td[(m;)]TJ/F7 6.9738 Tf 9.4357 0 Td[(1:)]TJ/F10 6.9738 Tf 6.2267 0 Td[(n)]TJ -ET -1 0 0 1 145.7235 564.4491 cm +/F11 9.9626 Tf 307.773 583.408 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.494 Td [(1:)]TJ/F10 6.9738 Tf 6.226 0 Td [(m;)]TJ/F7 6.9738 Tf 9.436 0 Td [(1:)]TJ/F10 6.9738 Tf 6.227 0 Td [(n)]TJ 0 g 0 G -1 0 0 1 -145.7235 -564.4491 cm -BT -/F11 9.9626 Tf 150.7049 564.4491 Td[(l)-20(oc)]TJ +/F11 9.9626 Tf -184.651 -17.465 Td [(l)-20(oc)]TJ ET -1 0 0 1 163.7014 564.4491 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 163.701 564.648 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -163.7014 -564.4491 cm BT -/F11 9.9626 Tf 167.1386 564.4491 Td[(x)]TJ/F10 6.9738 Tf 5.6939 -1.4944 Td[(i)]TJ -ET -1 0 0 1 176.1493 564.4491 cm +/F11 9.9626 Tf 167.139 564.449 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ 0 g 0 G -1 0 0 1 -176.1493 -564.4491 cm -BT -/F8 9.9626 Tf 181.1307 564.4491 Td[(is)-334(t)1(he)-334(lo)-27(c)-1(al)-333(p)-27(ortion)-332(of)-333(global)-333(d)1(e)-1(n)1(s)-1(e)-334(matri)1(x)-333(on)-333(pro)-27(c)-1(es)-1(s)]TJ/F11 9.9626 Tf 234.7036 0 Td[(i)]TJ/F8 9.9626 Tf 3.4323 0 Td[(.)]TJ -ET -1 0 0 1 145.7235 545.4898 cm +/F8 9.9626 Tf 8.299 1.494 Td [(is)-333(the)-334(lo)-27(cal)-334(p)-28(or)1(tion)-334(of)-333(global)-333(dense)-334(matrix)-333(on)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 234.703 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(.)]TJ 0 g 0 G -1 0 0 1 -145.7235 -545.4898 cm -BT -/F11 9.9626 Tf 150.7049 545.4898 Td[(co)1(l)-21(l)-20(e)1(ct)]TJ -ET -1 0 0 1 178.7306 545.4898 cm +/F11 9.9626 Tf -268.562 -18.959 Td [(col)-20(l)-19(ect)]TJ 0 g 0 G -1 0 0 1 -178.7306 -545.4898 cm -BT -/F8 9.9626 Tf 183.712 545.4898 Td[(is)-334(t)1(he)-334(collec)-1(t)-333(f)1(unction)1(.)]TJ -ET -1 0 0 1 150.7049 528.4627 cm +/F8 9.9626 Tf 33.007 0 Td [(is)-333(the)-334(collect)-333(function.)]TJ 0 g 0 G -1 0 0 1 73.1112 -38.9539 cm 0 g 0 G 0 g 0 G -1 0 0 1 4.9814 38.5554 cm +ET q -[]0 d -0 J -0.3985 w -0 0.1992 m -187.5259 0.1992 l -S +1 0 0 1 228.797 528.263 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q -1 0 0 1 -228.7975 -528.0642 cm BT -/F11 9.9626 Tf 234.7751 519.6956 Td[(x)]TJ/F10 6.9738 Tf 5.6939 -1.4944 Td[(i)]TJ/F11 9.9626 Tf 3.3168 1.4944 Td[(;)-166(y)]TJ/F29 9.9626 Tf 111.3991 0 Td[(Subr)1(outi)-1(ne)]TJ +/F11 9.9626 Tf 234.775 519.696 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F11 9.9626 Tf 3.317 1.495 Td [(;)-167(y)]TJ/F27 9.9626 Tf 111.399 0 Td [(Subroutine)]TJ ET -1 0 0 1 228.7975 515.7105 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -187.5259 0.1992 l -S +1 0 0 1 228.797 515.91 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q -1 0 0 1 -228.7975 -515.7105 cm BT -/F8 9.9626 Tf 234.7751 507.3419 Td[(In)28(tege)-1(r)-9027(psb)]TJ +/F8 9.9626 Tf 234.775 507.342 Td [(In)28(teger)-9028(psb)]TJ ET -1 0 0 1 370.7819 507.3419 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 507.541 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -507.3419 cm BT -/F8 9.9626 Tf 373.7708 507.3419 Td[(gath)1(e)-1(r)]TJ -138.9957 -11.9551 Td[(Sh)1(ort)-333(Pr)1(e)-1(cision)-333(Re)-1(al)-3102(psb)]TJ +/F8 9.9626 Tf 373.771 507.342 Td [(gather)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ ET -1 0 0 1 370.7819 495.3868 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 495.586 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -495.3868 cm BT -/F8 9.9626 Tf 373.7708 495.3868 Td[(gath)1(e)-1(r)]TJ -138.9957 -11.9552 Td[(Long)-333(P)1(re)-1(cision)-333(Real)-3314(psb)]TJ +/F8 9.9626 Tf 373.771 495.387 Td [(gather)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ ET -1 0 0 1 370.7819 483.4316 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 483.631 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -483.4316 cm BT -/F8 9.9626 Tf 373.7708 483.4316 Td[(gath)1(e)-1(r)]TJ -138.9957 -11.9552 Td[(Sh)1(ort)-333(Pr)1(e)-1(cision)-333(Com)-1(p)1(lex)-1200(psb)]TJ +/F8 9.9626 Tf 373.771 483.432 Td [(gather)]TJ -138.996 -11.956 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ ET -1 0 0 1 370.7819 471.4764 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 471.676 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -471.4764 cm BT -/F8 9.9626 Tf 373.7708 471.4764 Td[(gath)1(e)-1(r)]TJ -138.9957 -11.9551 Td[(Long)-333(P)1(re)-1(cision)-333(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 373.771 471.476 Td [(gather)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET -1 0 0 1 370.7819 459.5213 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 459.721 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -459.5213 cm BT -/F8 9.9626 Tf 373.7708 459.5213 Td[(gath)1(e)-1(r)]TJ +/F8 9.9626 Tf 373.771 459.521 Td [(gather)]TJ ET -1 0 0 1 228.7975 455.5362 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -187.5259 0.1992 l -S +1 0 0 1 228.797 455.735 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q -1 0 0 1 47.5888 -27.84 cm 0 g 0 G -1 0 0 1 -276.3863 -427.6962 cm BT -/F8 9.9626 Tf 276.3863 427.6962 Td[(T)83(ab)1(le)-334(15:)-444(Data)-333(t)28(yp)-28(es)]TJ -ET -1 0 0 1 368.7346 427.6962 cm +/F8 9.9626 Tf 276.386 427.696 Td [(T)83(able)-333(15:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G -1 0 0 1 -218.0297 -1.9372 cm 0 g 0 G -1 0 0 1 -150.7049 -425.759 cm -BT -/F18 14.3462 Tf 150.7049 382.24 Td[(Syn)32(t)-1(ax)]TJ/F8 9.9626 Tf 67.9755 -21.821 Td[(call)-333(psb)]TJ +/F16 14.3462 Tf -125.681 -45.456 Td [(Syn)31(tax)]TJ/F8 9.9626 Tf 67.975 -21.821 Td [(call)-333(psb)]TJ ET -1 0 0 1 252.5423 360.419 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 252.542 360.618 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -252.5423 -360.419 cm BT -/F8 9.9626 Tf 255.5311 360.419 Td[(gath)1(e)-1(r)-333(\050)]TJ/F19 9.9626 Tf 34.897 0 Td[(glob)]TJ +/F8 9.9626 Tf 255.531 360.419 Td [(gather)-333(\050)]TJ/F17 9.9626 Tf 34.897 0 Td [(glob)]TJ ET -1 0 0 1 307.8426 360.419 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 307.843 360.618 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -307.8426 -360.419 cm BT -/F19 9.9626 Tf 310.8979 360.419 Td[(x,)-357(lo)51(c)]TJ +/F17 9.9626 Tf 310.898 360.419 Td [(x,)-358(lo)51(c)]TJ ET -1 0 0 1 334.4615 360.419 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 334.461 360.618 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -334.4615 -360.419 cm BT -/F19 9.9626 Tf 337.5167 360.419 Td[(x,)-357(desc)]TJ +/F17 9.9626 Tf 337.517 360.419 Td [(x,)-358(desc)]TJ ET -1 0 0 1 367.7 360.419 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 367.7 360.618 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -367.7 -360.419 cm BT -/F19 9.9626 Tf 370.7552 360.419 Td[(a,)-358(i)1(nfo,)-358(r)52(o)51(ot)]TJ/F8 9.9626 Tf 51.8109 0 Td[(\051)]TJ/F18 14.3462 Tf -271.8612 -29.8879 Td[(Syn)32(t)-1(ax)]TJ/F8 9.9626 Tf 67.9755 -21.8209 Td[(call)-333(psb)]TJ +/F17 9.9626 Tf 370.755 360.419 Td [(a,)-358(info,)-357(r)51(o)51(ot)]TJ/F8 9.9626 Tf 51.811 0 Td [(\051)]TJ/F16 14.3462 Tf -271.861 -29.888 Td [(Syn)31(tax)]TJ/F8 9.9626 Tf 67.975 -21.821 Td [(call)-333(psb)]TJ ET -1 0 0 1 252.5423 308.7102 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 252.542 308.909 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -252.5423 -308.7102 cm BT -/F8 9.9626 Tf 255.5311 308.7102 Td[(gath)1(e)-1(r)-333(\050)]TJ/F19 9.9626 Tf 34.897 0 Td[(glob)]TJ +/F8 9.9626 Tf 255.531 308.71 Td [(gather)-333(\050)]TJ/F17 9.9626 Tf 34.897 0 Td [(glob)]TJ ET -1 0 0 1 307.8426 308.7102 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 307.843 308.909 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -307.8426 -308.7102 cm BT -/F19 9.9626 Tf 310.8979 308.7102 Td[(x,)-357(lo)51(c)]TJ +/F17 9.9626 Tf 310.898 308.71 Td [(x,)-358(lo)51(c)]TJ ET -1 0 0 1 334.4615 308.7102 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 334.461 308.909 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -334.4615 -308.7102 cm BT -/F19 9.9626 Tf 337.5167 308.7102 Td[(x,)-357(desc)]TJ +/F17 9.9626 Tf 337.517 308.71 Td [(x,)-358(desc)]TJ ET -1 0 0 1 367.7 308.7102 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 367.7 308.909 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -367.7 -308.7102 cm BT -/F19 9.9626 Tf 370.7552 308.7102 Td[(a,)-358(i)1(nfo,)-358(r)52(o)51(ot)]TJ/F8 9.9626 Tf 51.8109 0 Td[(\051)]TJ -ET -1 0 0 1 145.7235 284.7998 cm +/F17 9.9626 Tf 370.755 308.71 Td [(a,)-358(info,)-357(r)51(o)51(ot)]TJ/F8 9.9626 Tf 51.811 0 Td [(\051)]TJ 0 g 0 G -1 0 0 1 -145.7235 -284.7998 cm -BT -/F29 9.9626 Tf 150.7049 284.7998 Td[(T)32(yp)-32(e:)]TJ -ET -1 0 0 1 179.5203 284.7998 cm +/F27 9.9626 Tf -271.861 -23.91 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -1 0 0 1 -179.5203 -284.7998 cm -BT -/F8 9.9626 Tf 184.5016 284.7998 Td[(Sy)1(nc)27(h)1(ron)1(ous.)]TJ -ET -1 0 0 1 145.7235 265.8406 cm +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -1 0 0 1 -145.7235 -265.8406 cm -BT -/F29 9.9626 Tf 150.7049 265.8406 Td[(On)-383(En)32(tr)1(y)]TJ -ET -1 0 0 1 198.2901 265.8406 cm +/F27 9.9626 Tf -33.797 -18.959 Td [(On)-383(En)32(try)]TJ 0 g 0 G -1 0 0 1 -52.5665 -18.9592 cm 0 g 0 G -1 0 0 1 -145.7236 -246.8814 cm -BT -/F29 9.9626 Tf 150.7049 246.8814 Td[(lo)-32(c)]TJ + 0 -18.96 Td [(lo)-32(c)]TJ ET -1 0 0 1 165.7135 246.8814 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 165.713 247.081 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -165.7135 -246.8814 cm BT -/F29 9.9626 Tf 169.1506 246.8814 Td[(x)]TJ -ET -1 0 0 1 175.1973 246.8814 cm +/F27 9.9626 Tf 169.151 246.881 Td [(x)]TJ 0 g 0 G -1 0 0 1 -175.1973 -246.8814 cm -BT -/F8 9.9626 Tf 180.1786 246.8814 Td[(th)1(e)-334(lo)-28(cal)-333(p)-28(or)1(tion)-333(of)-333(glob)1(al)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 176.1177 0 Td[(g)-36(l)-20(ob)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.117 0 Td [(g)-36(l)-20(ob)]TJ ET -1 0 0 1 374.2768 246.8814 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 374.277 247.081 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -374.2768 -246.8814 cm BT -/F11 9.9626 Tf 377.2656 246.8814 Td[(x)]TJ/F8 9.9626 Tf 5.6939 0 Td[(.)]TJ -207.348 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3786 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3786 -11.9552 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6112 0 Td[(required)]TJ/F8 9.9626 Tf -29.6112 -11.9551 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-472(as:)-722(a)-473(ran)1(k)-472(one)-473(or)-472(t)28(w)28(o)-473(arr)1(a)28(y)-473(con)28(tain)1(in)1(g)-473(n)28(u)1(m)27(b)-27(e)-1(r)1(s)-473(of)-472(the)-472(t)27(y)1(p)-28(e)]TJ 0 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0 1 -145.7235 -576.9715 cm -BT -/F11 9.9626 Tf 150.7049 576.9715 Td[(g)-36(l)-20(ob)]TJ +/F11 9.9626 Tf 0 -19.163 Td [(g)-36(l)-19(o)-1(b)]TJ ET -1 0 0 1 168.775 576.9715 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 168.775 577.171 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -168.775 -576.9715 cm BT -/F11 9.9626 Tf 172.2121 576.9715 Td[(x)]TJ -ET -1 0 0 1 177.906 576.9715 cm +/F11 9.9626 Tf 172.212 576.972 Td [(x)]TJ 0 g 0 G -1 0 0 1 -177.906 -576.9715 cm -BT -/F8 9.9626 Tf 182.8873 576.9715 Td[(is)-334(t)1(he)-334(glob)1(al)-333(m)-1(at)1(rix)]TJ/F11 9.9626 Tf 88.9168 0 Td[(g)-36(l)-20(ob)]TJ +/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(g)-36(l)-20(ob)]TJ ET -1 0 0 1 289.7846 576.9715 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 289.785 577.171 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -289.7846 -576.9715 cm BT -/F11 9.9626 Tf 292.7734 576.9715 Td[(x)]TJ/F7 6.9738 Tf 5.6939 -1.4944 Td[(1:)]TJ/F10 6.9738 Tf 6.2267 0 Td[(m;)]TJ/F7 6.9738 Tf 9.4357 0 Td[(1:)]TJ/F10 6.9738 Tf 6.2267 0 Td[(n)]TJ -ET -1 0 0 1 145.7235 557.4271 cm +/F11 9.9626 Tf 292.773 576.972 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.495 Td [(1:)]TJ/F10 6.9738 Tf 6.227 0 Td [(m;)]TJ/F7 6.9738 Tf 9.436 0 Td [(1:)]TJ/F10 6.9738 Tf 6.226 0 Td [(n)]TJ 0 g 0 G -1 0 0 1 -145.7235 -557.4271 cm -BT -/F11 9.9626 Tf 150.7049 557.4271 Td[(l)-20(oc)]TJ +/F11 9.9626 Tf -169.651 -18.05 Td [(l)-20(oc)]TJ ET -1 0 0 1 163.7014 557.4271 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 163.701 557.626 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -163.7014 -557.4271 cm BT -/F11 9.9626 Tf 167.1386 557.4271 Td[(x)]TJ/F10 6.9738 Tf 5.6939 -1.4944 Td[(i)]TJ -ET -1 0 0 1 176.1493 557.4271 cm +/F11 9.9626 Tf 167.139 557.427 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ 0 g 0 G -1 0 0 1 -176.1493 -557.4271 cm -BT -/F8 9.9626 Tf 181.1307 557.4271 Td[(is)-334(t)1(he)-334(lo)-27(c)-1(al)-333(p)-27(ortion)-332(of)-333(global)-333(d)1(e)-1(n)1(s)-1(e)-334(matri)1(x)-333(on)-333(pro)-27(c)-1(es)-1(s)]TJ/F11 9.9626 Tf 234.7036 0 Td[(i)]TJ/F8 9.9626 Tf 3.4323 0 Td[(.)]TJ -ET -1 0 0 1 145.7235 537.8827 cm +/F8 9.9626 Tf 8.299 1.494 Td [(is)-333(the)-334(lo)-27(cal)-334(p)-28(or)1(tion)-334(of)-333(global)-333(dense)-334(matrix)-333(on)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 234.703 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(.)]TJ 0 g 0 G -1 0 0 1 -145.7235 -537.8827 cm -BT -/F11 9.9626 Tf 150.7049 537.8827 Td[(sca)1(tter)]TJ -ET -1 0 0 1 181.558 537.8827 cm +/F11 9.9626 Tf -268.562 -19.544 Td [(scatter)]TJ 0 g 0 G -1 0 0 1 -181.558 -537.8827 cm -BT -/F8 9.9626 Tf 186.5393 537.8827 Td[(is)-334(t)1(he)-334(sc)-1(att)1(e)-1(r)-333(f)1(unction)1(.)]TJ -ET -1 0 0 1 150.7049 519.1001 cm +/F8 9.9626 Tf 35.834 0 Td [(is)-333(the)-334(scatter)-333(function.)]TJ 0 g 0 G -1 0 0 1 73.1112 -38.9539 cm 0 g 0 G 0 g 0 G -1 0 0 1 4.9814 38.5554 cm +ET q -[]0 d -0 J -0.3985 w -0 0.1992 m -187.5259 0.1992 l -S +1 0 0 1 228.797 518.901 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q -1 0 0 1 -228.7975 -518.7016 cm BT -/F11 9.9626 Tf 234.7751 510.333 Td[(x)]TJ/F10 6.9738 Tf 5.6939 -1.4944 Td[(i)]TJ/F11 9.9626 Tf 3.3168 1.4944 Td[(;)-166(y)]TJ/F29 9.9626 Tf 111.3991 0 Td[(Subr)1(outi)-1(ne)]TJ +/F11 9.9626 Tf 234.775 510.333 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F11 9.9626 Tf 3.317 1.494 Td [(;)-167(y)]TJ/F27 9.9626 Tf 111.399 0 Td [(Subroutine)]TJ ET -1 0 0 1 228.7975 506.3479 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -187.5259 0.1992 l -S +1 0 0 1 228.797 506.547 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q -1 0 0 1 -228.7975 -506.3479 cm BT -/F8 9.9626 Tf 234.7751 497.9794 Td[(In)28(tege)-1(r)-9027(psb)]TJ +/F8 9.9626 Tf 234.775 497.979 Td [(In)28(teger)-9028(psb)]TJ ET -1 0 0 1 370.7819 497.9794 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 498.179 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -497.9794 cm BT -/F8 9.9626 Tf 373.7708 497.9794 Td[(sc)-1(atter)]TJ -138.9957 -11.9552 Td[(Sh)1(ort)-333(Pr)1(e)-1(cision)-333(Re)-1(al)-3102(psb)]TJ +/F8 9.9626 Tf 373.771 497.979 Td [(scatter)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ ET -1 0 0 1 370.7819 486.0242 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 486.223 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -486.0242 cm BT -/F8 9.9626 Tf 373.7708 486.0242 Td[(sc)-1(atter)]TJ -138.9957 -11.9552 Td[(Long)-333(P)1(re)-1(cision)-333(Real)-3314(psb)]TJ +/F8 9.9626 Tf 373.771 486.024 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ ET -1 0 0 1 370.7819 474.069 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 474.268 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -474.069 cm BT -/F8 9.9626 Tf 373.7708 474.069 Td[(sc)-1(atter)]TJ -138.9957 -11.9552 Td[(Sh)1(ort)-333(Pr)1(e)-1(cision)-333(Com)-1(p)1(lex)-1200(psb)]TJ +/F8 9.9626 Tf 373.771 474.069 Td [(scatter)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ ET -1 0 0 1 370.7819 462.1139 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 462.313 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -462.1139 cm BT -/F8 9.9626 Tf 373.7708 462.1139 Td[(sc)-1(atter)]TJ -138.9957 -11.9552 Td[(Long)-333(P)1(re)-1(cision)-333(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 373.771 462.114 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET -1 0 0 1 370.7819 450.1587 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 370.782 450.358 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -370.7819 -450.1587 cm BT -/F8 9.9626 Tf 373.7708 450.1587 Td[(sc)-1(atter)]TJ +/F8 9.9626 Tf 373.771 450.159 Td [(scatter)]TJ ET -1 0 0 1 228.7975 446.1736 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -187.5259 0.1992 l -S +1 0 0 1 228.797 446.373 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q -1 0 0 1 47.5888 -27.84 cm 0 g 0 G -1 0 0 1 -276.3863 -418.3336 cm BT -/F8 9.9626 Tf 276.3863 418.3336 Td[(T)83(ab)1(le)-334(16:)-444(Data)-333(t)28(yp)-28(es)]TJ -ET -1 0 0 1 368.7346 418.3336 cm +/F8 9.9626 Tf 276.386 418.334 Td [(T)83(able)-333(16:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G -1 0 0 1 -218.0297 -1.9372 cm 0 g 0 G -1 0 0 1 -150.7049 -416.3964 cm -BT -/F18 14.3462 Tf 150.7049 372.0403 Td[(Syn)32(t)-1(ax)]TJ/F8 9.9626 Tf 67.1176 -21.821 Td[(call)-333(psb)]TJ +/F16 14.3462 Tf -125.681 -46.294 Td [(Syn)31(tax)]TJ/F8 9.9626 Tf 67.117 -21.821 Td [(call)-333(psb)]TJ ET -1 0 0 1 251.6844 350.2193 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 251.684 350.419 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -251.6844 -350.2193 cm BT -/F8 9.9626 Tf 254.6732 350.2193 Td[(sc)-1(atter)-333(\050)]TJ/F19 9.9626 Tf 36.6128 0 Td[(glob)]TJ +/F8 9.9626 Tf 254.673 350.219 Td [(scatter)-333(\050)]TJ/F17 9.9626 Tf 36.613 0 Td [(glob)]TJ ET -1 0 0 1 308.7005 350.2193 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 308.7 350.419 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -308.7005 -350.2193 cm BT -/F19 9.9626 Tf 311.7557 350.2193 Td[(x,)-357(lo)51(c)]TJ +/F17 9.9626 Tf 311.756 350.219 Td [(x,)-358(lo)51(c)]TJ ET -1 0 0 1 335.3194 350.2193 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 335.319 350.419 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -335.3194 -350.2193 cm BT -/F19 9.9626 Tf 338.3746 350.2193 Td[(x,)-357(desc)]TJ +/F17 9.9626 Tf 338.375 350.219 Td [(x,)-358(desc)]TJ ET -1 0 0 1 368.5579 350.2193 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 368.558 350.419 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -368.5579 -350.2193 cm BT -/F19 9.9626 Tf 371.6131 350.2193 Td[(a,)-358(i)1(nfo,)-358(r)52(o)51(ot)]TJ/F8 9.9626 Tf 51.8109 0 Td[(\051)]TJ/F18 14.3462 Tf -272.7191 -29.8879 Td[(Syn)32(t)-1(ax)]TJ/F8 9.9626 Tf 67.1176 -21.8209 Td[(call)-333(psb)]TJ +/F17 9.9626 Tf 371.613 350.219 Td [(a,)-358(info,)-357(r)51(o)51(ot)]TJ/F8 9.9626 Tf 51.811 0 Td [(\051)]TJ/F16 14.3462 Tf -272.719 -29.888 Td [(Syn)31(tax)]TJ/F8 9.9626 Tf 67.117 -21.821 Td [(call)-333(psb)]TJ ET -1 0 0 1 251.6844 298.5105 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 251.684 298.71 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -251.6844 -298.5105 cm BT -/F8 9.9626 Tf 254.6732 298.5105 Td[(sc)-1(atter)-333(\050)]TJ/F19 9.9626 Tf 36.6128 0 Td[(glob)]TJ +/F8 9.9626 Tf 254.673 298.51 Td [(scatter)-333(\050)]TJ/F17 9.9626 Tf 36.613 0 Td [(glob)]TJ ET -1 0 0 1 308.7005 298.5105 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 308.7 298.71 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -308.7005 -298.5105 cm BT -/F19 9.9626 Tf 311.7557 298.5105 Td[(x,)-357(lo)51(c)]TJ +/F17 9.9626 Tf 311.756 298.51 Td [(x,)-358(lo)51(c)]TJ ET -1 0 0 1 335.3194 298.5105 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 335.319 298.71 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -335.3194 -298.5105 cm BT -/F19 9.9626 Tf 338.3746 298.5105 Td[(x,)-357(desc)]TJ +/F17 9.9626 Tf 338.375 298.51 Td [(x,)-358(desc)]TJ ET -1 0 0 1 368.5579 298.5105 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 368.558 298.71 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -368.5579 -298.5105 cm BT -/F19 9.9626 Tf 371.6131 298.5105 Td[(a,)-358(i)1(nfo,)-358(r)52(o)51(ot)]TJ/F8 9.9626 Tf 51.8109 0 Td[(\051)]TJ -ET -1 0 0 1 145.7235 274.6001 cm +/F17 9.9626 Tf 371.613 298.51 Td [(a,)-358(info,)-357(r)51(o)51(ot)]TJ/F8 9.9626 Tf 51.811 0 Td [(\051)]TJ 0 g 0 G -1 0 0 1 -145.7235 -274.6001 cm -BT -/F29 9.9626 Tf 150.7049 274.6001 Td[(T)32(yp)-32(e:)]TJ -ET -1 0 0 1 179.5203 274.6001 cm +/F27 9.9626 Tf -272.719 -23.91 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -1 0 0 1 -179.5203 -274.6001 cm -BT -/F8 9.9626 Tf 184.5016 274.6001 Td[(Sy)1(nc)27(h)1(ron)1(ous.)]TJ -ET -1 0 0 1 145.7235 255.0557 cm +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -1 0 0 1 -145.7235 -255.0557 cm -BT -/F29 9.9626 Tf 150.7049 255.0557 Td[(On)-383(En)32(tr)1(y)]TJ -ET -1 0 0 1 198.2901 255.0557 cm +/F27 9.9626 Tf -33.797 -19.544 Td [(On)-383(En)32(try)]TJ 0 g 0 G -1 0 0 1 -52.5665 -19.5444 cm 0 g 0 G -1 0 0 1 -145.7236 -235.5113 cm -BT -/F29 9.9626 Tf 150.7049 235.5113 Td[(glob)]TJ + 0 -19.545 Td [(glob)]TJ ET -1 0 0 1 172.3967 235.5113 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 172.397 235.711 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -172.3967 -235.5113 cm BT -/F29 9.9626 Tf 175.8338 235.5113 Td[(x)]TJ -ET -1 0 0 1 181.8806 235.5113 cm +/F27 9.9626 Tf 175.834 235.511 Td [(x)]TJ 0 g 0 G -1 0 0 1 -181.8806 -235.5113 cm -BT -/F8 9.9626 Tf 186.8619 235.5113 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-94.9141 -580.943 cm -BT -/F29 9.9626 Tf 99.8954 580.943 Td[(On)-383(En)32(tr)1(y)]TJ -ET -1 0 0 1 147.4806 580.943 cm +/F27 9.9626 Tf -33.797 -19.497 Td [(On)-383(En)32(try)]TJ 0 g 0 G -1 0 0 1 -52.5665 -19.4968 cm 0 g 0 G -1 0 0 1 -94.9141 -561.4462 cm -BT -/F29 9.9626 Tf 99.8954 561.4462 Td[(m)]TJ -ET -1 0 0 1 109.4429 561.4462 cm + 0 -19.497 Td [(m)]TJ 0 g 0 G -1 0 0 1 -109.4429 -561.4462 cm -BT -/F8 9.9626 Tf 114.4242 561.4462 Td[(Num)28(b)-27(e)-1(r)-333(of)-333(r)1(o)27(ws)-334(i)1(n)]TJ/F11 9.9626 Tf 84.5165 0 Td[(v)-36(a)1(l)]TJ/F8 9.9626 Tf 16.9423 0 Td[(to)-333(b)-28(e)-333(inse)-1(r)1(te)-1(d)1(.)]TJ -91.081 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 27.9508 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf 23.0731 0 Td[(.)]TJ -51.0239 -11.9552 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 25.1834 0 Td[(required)]TJ/F8 9.9626 Tf 41.8983 0 Td[(.)]TJ -67.0817 -11.9551 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(an)-333(in)28(t)1(e)-1(ger)-333(v)55(al)1(ue.)]TJ -ET -1 0 0 1 94.9141 494.1286 cm +/F8 9.9626 Tf 14.529 0 Td [(Num)28(b)-28(er)-333(of)-334(ro)28(ws)-333(in)]TJ/F11 9.9626 Tf 84.517 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 16.942 0 Td [(to)-333(b)-28(e)-333(inserted.)]TJ -91.081 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -494.1286 cm -BT -/F29 9.9626 Tf 99.8954 494.1286 Td[(irw)]TJ -ET -1 0 0 1 116.0708 494.1286 cm +/F27 9.9626 Tf -24.907 -19.496 Td [(irw)]TJ 0 g 0 G -1 0 0 1 -116.0708 -494.1286 cm -BT -/F8 9.9626 Tf 121.0521 494.1286 Td[(Ind)1(ice)-1(s)-445(of)-444(th)1(e)-445(ro)28(ws)-445(to)-445(b)-27(e)-445(in)1(s)-1(erted.)-777(Sp)-27(e)-1(ci\014cally)84(,)-472(ro)28(w)]TJ/F11 9.9626 Tf 237.9739 0 Td[(i)]TJ/F8 9.9626 Tf 7.8606 0 Td[(of)]TJ/F11 9.9626 Tf 12.4537 0 Td[(v)-36(a)1(l)]TJ/F8 9.9626 Tf 18.0497 0 Td[(will)-444(b)-27(e)-445(in-)]TJ -272.588 -11.9552 Td[(se)-1(rt)1(e)-1(d)-435(i)1(n)28(to)-435(the)-435(lo)-28(cal)-435(ro)28(w)-435(c)-1(or)1(re)-1(sp)-27(ond)1(ing)-435(to)-435(th)1(e)-436(glob)1(al)-435(ro)28(w)-435(ind)1(e)-1(x)]TJ/F11 9.9626 Tf 289.2518 0 Td[(ir)-27(w)]TJ/F8 9.9626 Tf 15.6042 0 Td[(\050)]TJ/F11 9.9626 Tf 3.8744 0 Td[(i)]TJ/F8 9.9626 Tf 3.4323 0 Td[(\051.)]TJ -312.1627 -11.9551 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 27.9508 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf 23.0731 0 Td[(.)]TJ -51.0239 -11.9552 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 25.1834 0 Td[(required)]TJ/F8 9.9626 Tf 41.8983 0 Td[(.)]TJ -67.0817 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9551 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(an)-333(in)28(t)1(e)-1(ger)-333(arra)28(y)84(.)]TJ -ET -1 0 0 1 94.9141 414.8559 cm +/F8 9.9626 Tf 21.157 0 Td [(Indices)-445(of)-444(the)-444(ro)27(ws)-444(to)-445(b)-27(e)-445(inserted.)-778(Sp)-28(eci\014cally)84(,)-473(r)1(o)27(w)]TJ/F11 9.9626 Tf 237.974 0 Td [(i)]TJ/F8 9.9626 Tf 7.861 0 Td [(of)]TJ/F11 9.9626 Tf 12.453 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 18.05 0 Td [(will)-444(b)-28(e)-445(in-)]TJ -272.588 -11.956 Td [(serted)-435(in)28(to)-435(the)-436(lo)-27(cal)-436(r)1(o)27(w)-435(corresp)-28(onding)-435(to)-435(the)-435(global)-435(ro)28(w)-435(index)]TJ/F11 9.9626 Tf 289.252 0 Td [(ir)-28(w)]TJ/F8 9.9626 Tf 15.604 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)]TJ -312.163 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -414.8559 cm -BT -/F29 9.9626 Tf 99.8954 414.8559 Td[(v)64(al)]TJ -ET -1 0 0 1 114.0575 414.8559 cm +/F27 9.9626 Tf -24.907 -19.497 Td [(v)64(al)]TJ 0 g 0 G -1 0 0 1 -114.0575 -414.8559 cm -BT -/F8 9.9626 Tf 119.0388 414.8559 Td[(th)1(e)-334(dense)-334(submatr)1(ix)-333(to)-334(b)-27(e)-334(in)1(s)-1(erted.)]TJ 5.7632 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 27.9508 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf 23.0731 0 Td[(.)]TJ -51.0239 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 25.1834 0 Td[(required)]TJ/F8 9.9626 Tf 41.8983 0 Td[(.)]TJ -67.0817 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(a)-333(rank)-333(1)-333(or)-333(2)-334(ar)1(ra)28(y)83(.)-444(S)1(p)-28(ec)-1(i)1(\014ed)-333(as)-1(:)-444(an)-333(in)29(te)-1(ger)-333(v)56(alue.)]TJ -ET -1 0 0 1 94.9141 347.5384 cm +/F8 9.9626 Tf 19.144 0 Td [(the)-333(dense)-334(submatrix)-333(to)-333(b)-28(e)-333(inserted.)]TJ 5.763 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(1)-333(or)-334(2)-333(arra)28(y)83(.)-444(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-334(v)56(alue.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -347.5384 cm -BT -/F29 9.9626 Tf 99.8954 347.5384 Td[(desc)]TJ +/F27 9.9626 Tf -24.907 -19.497 Td [(desc)]TJ ET -1 0 0 1 121.81 347.5384 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.4371 0.1992 l -S +1 0 0 1 121.81 347.738 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q -1 0 0 1 -121.81 -347.5384 cm BT -/F29 9.9626 Tf 125.2471 347.5384 Td[(a)]TJ -ET -1 0 0 1 130.8165 347.5384 cm +/F27 9.9626 Tf 125.247 347.538 Td [(a)]TJ 0 g 0 G -1 0 0 1 -130.8165 -347.5384 cm -BT -/F8 9.9626 Tf 135.7978 347.5384 Td[(th)1(e)-334(c)-1(omm)27(u)1(ni)1(c)-1(ation)-332(des)-1(crip)1(tor.)]TJ -10.9958 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 27.9508 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf 23.0731 0 Td[(.)]TJ -51.0239 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 25.1834 0 Td[(required)]TJ/F8 9.9626 Tf 41.8983 0 Td[(.)]TJ -67.0817 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(a)-333(s)-1(tr)1(uctured)-333(dat)1(a)-334(of)-333(t)28(yp)-27(e)]TJ -ET -1 0 0 1 295.717 299.7177 cm +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -295.717 -299.7177 cm -BT -/F32 9.9626 Tf 295.717 299.7177 Td[(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET -1 0 0 1 312.0356 299.7177 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 312.036 299.917 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -312.0356 -299.7177 cm BT -/F32 9.9626 Tf 315.1738 299.7177 Td[(desc)]TJ +/F30 9.9626 Tf 315.174 299.718 Td [(desc)]TJ ET -1 0 0 1 336.7228 299.7177 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 336.723 299.917 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -336.7228 -299.7177 cm BT -/F32 9.9626 Tf 339.861 299.7177 Td[(type)]TJ -ET -1 0 0 1 360.7824 299.7177 cm +/F30 9.9626 Tf 339.861 299.718 Td [(type)]TJ 0 g 0 G -1 0 0 1 -360.7824 -299.7177 cm -BT -/F8 9.9626 Tf 360.7824 299.7177 Td[(.)]TJ -ET -1 0 0 1 94.9141 280.2209 cm +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -280.2209 cm -BT -/F29 9.9626 Tf 99.8954 280.2209 Td[(dupl)]TJ -ET -1 0 0 1 122.1728 280.2209 cm +/F27 9.9626 Tf -260.887 -19.497 Td [(dupl)]TJ 0 g 0 G -1 0 0 1 -122.1728 -280.2209 cm -BT -/F8 9.9626 Tf 127.1542 280.2209 Td[(Ho)28(w)-334(to)-333(han)1(dl)1(e)-334(du)1(pli)1(c)-1(ate)-334(co)-28(e\016)-1(cien)28(ts.)]TJ -2.3522 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3787 0 Td[(global)]TJ/F8 9.9626 Tf 29.7563 0 Td[(.)]TJ -62.135 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6113 0 Td[(opti)-1(on)1(al)]TJ/F8 9.9626 Tf 40.5767 0 Td[(.)]TJ -70.188 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-308(as:)-432(in)28(t)1(e)-1(ger,)-313(p)-28(oss)-1(i)1(ble)-309(v)56(alu)1(e)-1(s:)]TJ/F32 9.9626 Tf 163.6964 0 Td[(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.4551 0 Td[(,)]TJ/F32 9.9626 Tf 5.8911 0 Td[(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.9945 0 Td[(.)]TJ -ET -1 0 0 1 94.9141 211.5535 cm +/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.696 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.456 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.994 0 Td [(.)]TJ 0 g 0 G -1 0 0 1 -94.9141 -211.5535 cm -BT -/F29 9.9626 Tf 99.8954 211.5535 Td[(On)-383(R)-1(etur)1(n)]TJ -ET -1 0 0 1 154.4337 211.5535 cm +/F27 9.9626 Tf -340.944 -20.847 Td [(On)-383(Return)]TJ 0 g 0 G -1 0 0 1 -59.5196 -19.4969 cm 0 g 0 G -1 0 0 1 -94.9141 -192.0566 cm -BT -/F29 9.9626 Tf 99.8954 192.0566 Td[(x)]TJ -ET -1 0 0 1 105.9421 192.0566 cm + 0 -19.496 Td [(x)]TJ 0 g 0 G -1 0 0 1 -105.9421 -192.0566 cm -BT -/F8 9.9626 Tf 110.9235 192.0566 Td[(th)1(e)-334(outp)1(ut)-333(dense)-334(matri)1(x.)]TJ 13.8785 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3787 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3787 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6112 0 Td[(required)]TJ/F8 9.9626 Tf -29.6112 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(inout)]TJ/F8 9.9626 Tf 26.0964 0 Td[(.)]TJ -59.582 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-276(as)-1(:)-416(a)-277(ran)1(k)-278(on)1(e)-278(or)-277(t)28(w)28(o)-278(ar)1(ra)28(y)-277(with)-277(th)1(e)-278(ALLOCA)83(T)83(ABLE)-277(att)1(rib)1(ute,)]TJ 0 -11.9551 Td[(of)-333(t)28(yp)-27(e)-334(real,)-333(com)-1(p)1(lex)-334(or)-333(i)1(n)28(te)-1(ger.)]TJ -ET -1 0 0 1 99.8954 90.4377 cm +/F8 9.9626 Tf 11.028 0 Td [(the)-333(output)-334(dense)-333(matrix.)]TJ 13.879 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-277(as:)-416(a)-278(rank)-277(one)-277(or)-277(t)27(w)28(o)-277(arra)28(y)-277(with)-278(the)-277(ALLOCA)83(T)84(ABLE)-277(attribute,)]TJ 0 -11.955 Td [(of)-333(t)27(y)1(p)-28(e)-334(real,)-333(complex)-333(or)-334(in)28(teger.)]TJ 0 g 0 G -1 0 0 1 -99.8954 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G -1 0 0 1 -119.8207 -507.9001 cm -BT -/F8 9.9626 Tf 124.802 507.9001 Td[(The)-258(r)1(outi)1(nes)-258(retur)1(n)-257(the)-257(ite)-1(ms)-258(i)1(n)-257(the)-257(c)27(hose)-1(n)-256(orderi)1(ng;)-282(the)-258(ou)1(tpu)1(t)-257(di\013e)-1(r)1(e)-1(n)1(c)-1(e)]TJ 0 -11.9552 Td[(is)-259(the)-259(han)1(dl)1(ing)-259(of)-258(ties)-260(\050i)1(.e)-1(.)-419(item)-1(s)-259(with)-258(an)-259(equal)-258(v)55(al)1(ue\051)-259(in)-259(t)1(he)-259(origin)1(al)-259(in)1(pu)1(t.)]TJ 0 -11.9552 Td[(Wit)1(h)-493(the)-493(me)-1(r)1(ge)-1(-s)-1(or)1(t)-493(algorit)1(hm)-493(ties)-494(are)-493(pr)1(e)-1(se)-1(r)1(v)28(e)-1(d)-492(in)-493(th)1(e)-494(sam)-1(e)-493(relativ)28(e)]TJ 0 -11.9551 Td[(ord)1(e)-1(r)-405(as)-406(th)1(e)-1(y)-405(h)1(ad)-405(in)-405(the)-405(origin)1(al)-405(s)-1(equence)-1(,)-423(whi)1(le)-406(thi)1(s)-406(is)-406(n)1(ot)-406(gu)1(aran)28(tee)-1(d)]TJ 0 -11.9552 Td[(for)-333(q)1(uic)28(ks)-1(or)1(t)-333(or)-333(heapsort;)]TJ -ET -1 0 0 1 99.8954 440.1541 cm + [-500(The)-257(routines)-258(retur)1(n)-258(the)-257(items)-257(in)-258(the)-257(c)28(hosen)-257(ordering;)-283(the)-257(output)-257(di\013erence)]TJ 12.73 -11.955 Td [(is)-259(the)-259(handling)-259(of)-259(ties)-259(\050i.e.)-419(items)-259(with)-259(an)-259(equal)-259(v)56(alue\051)-259(in)-259(the)-259(original)-259(input.)]TJ 0 -11.955 Td [(With)-493(the)-493(merge-sort)-493(algorithm)-493(ties)-493(are)-493(preserv)27(ed)-493(in)-493(the)-493(same)-493(relativ)28(e)]TJ 0 -11.955 Td [(order)-405(as)-406(they)-405(had)-406(in)-405(the)-405(original)-406(sequence,)-423(while)-406(this)-405(is)-406(not)-405(guaran)28(teed)]TJ 0 -11.956 Td [(for)-333(quic)28(ksort)-334(or)-333(heapsort;)]TJ 0 g 0 G -1 0 0 1 -99.8954 -440.1541 cm -BT -/F8 9.9626 Tf 112.072 440.1541 Td[(3.)]TJ -ET -1 0 0 1 119.8207 440.1541 cm + -12.73 -19.925 Td [(3.)]TJ 0 g 0 G -1 0 0 1 -119.8207 -440.1541 cm -BT -/F8 9.9626 Tf 124.802 440.1541 Td[(If)]TJ/F11 9.9626 Tf 9.1594 0 Td[(f)-107(l)-20(ag)]TJ/F8 9.9626 Tf 22.2614 0 Td[(=)]TJ/F11 9.9626 Tf 10.5161 0 Td[(psb)]TJ + [-500(If)]TJ/F11 9.9626 Tf 21.889 0 Td [(f)-108(l)-19(ag)]TJ/F8 9.9626 Tf 22.262 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(psb)]TJ ET -1 0 0 1 181.2947 440.1541 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 181.295 440.353 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -181.2947 -440.1541 cm BT -/F11 9.9626 Tf 184.2835 440.1541 Td[(so)1(r)-28(t)]TJ +/F11 9.9626 Tf 184.284 440.154 Td [(sor)-28(t)]TJ ET -1 0 0 1 202.7495 440.1541 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 202.749 440.353 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -202.7495 -440.1541 cm BT -/F11 9.9626 Tf 205.7383 440.1541 Td[(ov)-35(w)]TJ +/F11 9.9626 Tf 205.738 440.154 Td [(ov)-36(w)]TJ ET -1 0 0 1 223.7522 440.1541 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 223.752 440.353 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -223.7522 -440.1541 cm BT -/F11 9.9626 Tf 226.741 440.1541 Td[(idx)]TJ +/F11 9.9626 Tf 226.741 440.154 Td [(idx)]TJ ET -1 0 0 1 241.6503 440.1541 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 241.65 440.353 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -241.6503 -440.1541 cm BT -/F8 9.9626 Tf 247.1568 440.1541 Td[(th)1(e)-1(n)-252(the)-253(en)28(tri)1(e)-1(s)-253(in)]TJ/F11 9.9626 Tf 80.1688 0 Td[(ix)]TJ/F8 9.9626 Tf 9.1262 0 Td[(\0501)-278(:)]TJ/F11 9.9626 Tf 17.1578 0 Td[(n)]TJ/F8 9.9626 Tf 5.9799 0 Td[(\051)-253(wh)1(e)-1(r)1(e)]TJ/F11 9.9626 Tf 34.3973 0 Td[(n)]TJ/F8 9.9626 Tf 8.4976 0 Td[(is)-253(th)1(e)-254(size)]TJ -277.6823 -11.9552 Td[(of)]TJ/F11 9.9626 Tf 11.9104 0 Td[(x)]TJ/F8 9.9626 Tf 9.5788 0 Td[(are)-390(in)1(itiali)1(z)-1(ed)-390(to)]TJ/F11 9.9626 Tf 76.4397 0 Td[(ix)]TJ/F8 9.9626 Tf 9.1261 0 Td[(\050)]TJ/F11 9.9626 Tf 3.8744 0 Td[(i)]TJ/F8 9.9626 Tf 3.4323 0 Td[(\051)]TJ/F14 9.9626 Tf 7.5817 0 Td[(\040)]TJ/F11 9.9626 Tf 13.67 0 Td[(i)]TJ/F8 9.9626 Tf 3.4323 0 Td[(;)-418(th)28(u)1(s)-1(,)-404(u)1(p)-27(on)-390(retur)1(n)-390(f)1(rom)-390(the)-390(s)-1(u)1(br)1(outin)1(e)-1(,)]TJ -139.0457 -11.9551 Td[(for)-332(e)-1(ac)27(h)-332(ind)1(e)-1(x)]TJ/F11 9.9626 Tf 64.5045 0 Td[(i)]TJ/F8 9.9626 Tf 6.7519 0 Td[(w)28(e)-334(ha)28(v)28(e)-334(i)1(n)]TJ/F11 9.9626 Tf 49.2561 0 Td[(ix)]TJ/F8 9.9626 Tf 9.1262 0 Td[(\050)]TJ/F11 9.9626 Tf 3.8744 0 Td[(i)]TJ/F8 9.9626 Tf 3.4323 0 Td[(\051)-333(the)-333(p)-28(ositi)1(on)-333(that)-333(th)1(e)-334(item)]TJ/F11 9.9626 Tf 123.751 0 Td[(x)]TJ/F8 9.9626 Tf 5.6939 0 Td[(\050)]TJ/F11 9.9626 Tf 3.8744 0 Td[(i)]TJ/F8 9.9626 Tf 3.4323 0 Td[(\051)-333(o)-28(cc)-1(u)1(pied)]TJ -273.697 -11.9552 Td[(in)-333(th)1(e)-334(ori)1(ginal)-333(d)1(ata)-334(sequence)-1(;)]TJ -ET -1 0 0 1 99.8954 384.3633 cm +/F8 9.9626 Tf 247.157 440.154 Td [(then)-253(the)-252(en)27(tries)-252(in)]TJ/F11 9.9626 Tf 80.169 0 Td [(ix)]TJ/F8 9.9626 Tf 9.126 0 Td [(\0501)-278(:)]TJ/F11 9.9626 Tf 17.158 0 Td [(n)]TJ/F8 9.9626 Tf 5.979 0 Td [(\051)-253(where)]TJ/F11 9.9626 Tf 34.398 0 Td [(n)]TJ/F8 9.9626 Tf 8.497 0 Td [(is)-253(the)-252(s)-1(i)1(z)-1(e)]TJ -277.682 -11.955 Td [(of)]TJ/F11 9.9626 Tf 11.91 0 Td [(x)]TJ/F8 9.9626 Tf 9.579 0 Td [(are)-390(initialized)-390(to)]TJ/F11 9.9626 Tf 76.44 0 Td [(ix)]TJ/F8 9.9626 Tf 9.126 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F14 9.9626 Tf 7.581 0 Td [(\040)]TJ/F11 9.9626 Tf 13.67 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(;)-418(th)28(us,)-404(up)-28(on)-390(return)-390(from)-390(the)-390(subroutine,)]TJ -139.046 -11.955 Td [(for)-333(eac)28(h)-334(index)]TJ/F11 9.9626 Tf 64.505 0 Td [(i)]TJ/F8 9.9626 Tf 6.751 0 Td [(w)28(e)-334(ha)28(v)28(e)-333(in)]TJ/F11 9.9626 Tf 49.257 0 Td [(ix)]TJ/F8 9.9626 Tf 9.126 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-333(the)-333(p)-28(osition)-333(that)-334(th)1(e)-334(item)]TJ/F11 9.9626 Tf 123.751 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-333(o)-28(ccupied)]TJ -273.697 -11.955 Td [(in)-333(the)-334(original)-333(data)-333(sequence;)]TJ 0 g 0 G -1 0 0 1 -99.8954 -384.3633 cm -BT -/F8 9.9626 Tf 112.072 384.3633 Td[(4.)]TJ -ET -1 0 0 1 119.8207 384.3633 cm + -12.73 -19.926 Td [(4.)]TJ 0 g 0 G -1 0 0 1 -119.8207 -384.3633 cm -BT -/F8 9.9626 Tf 124.802 384.3633 Td[(If)]TJ/F11 9.9626 Tf 10.6736 0 Td[(f)-107(l)-20(ag)]TJ/F8 9.9626 Tf 23.4464 0 Td[(=)]TJ/F11 9.9626 Tf 11.701 0 Td[(psb)]TJ + [-500(If)]TJ/F11 9.9626 Tf 23.404 0 Td [(f)-108(l)-19(ag)]TJ/F8 9.9626 Tf 23.446 0 Td [(=)]TJ/F11 9.9626 Tf 11.701 0 Td [(psb)]TJ ET -1 0 0 1 185.1788 384.3633 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 185.179 384.563 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -185.1788 -384.3633 cm BT -/F11 9.9626 Tf 188.1676 384.3633 Td[(so)1(r)-28(t)]TJ +/F11 9.9626 Tf 188.168 384.363 Td [(sor)-28(t)]TJ ET -1 0 0 1 206.6336 384.3633 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 206.634 384.563 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -206.6336 -384.3633 cm BT -/F11 9.9626 Tf 209.6224 384.3633 Td[(k)-31(ee)1(p)]TJ +/F11 9.9626 Tf 209.622 384.363 Td [(k)-32(eep)]TJ ET -1 0 0 1 230.0105 384.3633 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 230.011 384.563 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -230.0105 -384.3633 cm BT -/F11 9.9626 Tf 232.9994 384.3633 Td[(idx)]TJ +/F11 9.9626 Tf 232.999 384.363 Td [(idx)]TJ ET -1 0 0 1 247.9087 384.3633 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 247.909 384.563 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -247.9087 -384.3633 cm BT -/F8 9.9626 Tf 254.9294 384.3633 Td[(th)1(e)-406(r)1(outi)1(ne)-405(will)-404(as)-1(sume)-405(that)-404(the)-405(en)28(tries)-405(in)]TJ/F11 9.9626 Tf -130.1274 -11.9552 Td[(ix)]TJ/F8 9.9626 Tf 9.1262 0 Td[(\050:\051)-333(h)1(a)27(v)28(e)-333(already)-333(b)-27(e)-1(en)-333(in)1(itialized)-333(b)28(y)-333(the)-333(use)-1(r;)]TJ -ET -1 0 0 1 99.8954 352.4829 cm +/F8 9.9626 Tf 254.929 384.363 Td [(the)-405(routine)-404(will)-405(assume)-405(that)-404(the)-405(en)28(tries)-405(in)]TJ/F11 9.9626 Tf -130.127 -11.955 Td [(ix)]TJ/F8 9.9626 Tf 9.126 0 Td [(\050:\051)-333(ha)28(v)27(e)-333(already)-333(b)-28(een)-333(initialized)-334(b)28(y)-333(the)-334(user;)]TJ 0 g 0 G -1 0 0 1 -99.8954 -352.4829 cm -BT -/F8 9.9626 Tf 112.072 352.4829 Td[(5.)]TJ -ET -1 0 0 1 119.8207 352.4829 cm + -21.856 -19.925 Td [(5.)]TJ 0 g 0 G -1 0 0 1 -119.8207 -352.4829 cm -BT -/F8 9.9626 Tf 124.802 352.4829 Td[(The)-376(th)1(ree)-377(sorti)1(ng)-376(al)1(gorith)1(m)-1(s)-376(h)1(a)27(v)28(e)-376(a)-375(s)-1(imilar)]TJ/F11 9.9626 Tf 195.5648 0 Td[(O)]TJ/F8 9.9626 Tf 7.876 0 Td[(\050)]TJ/F11 9.9626 Tf 3.8744 0 Td[(n)]TJ/F8 9.9626 Tf 7.6403 0 Td[(log)]TJ/F11 9.9626 Tf 14.5288 0 Td[(n)]TJ/F8 9.9626 Tf 5.9799 0 Td[(\051)-376(exp)-27(e)-1(cted)-376(r)1(un)1(nin)1(g)]TJ -235.4642 -11.9552 Td[(time;)-349(in)-343(th)1(e)-344(a)28(v)28(e)-1(rage)-344(case)-344(quic)28(ksort)-344(wil)1(l)-344(b)-27(e)-344(th)1(e)-344(fas)-1(t)1(e)-1(st)-344(an)1(d)-343(m)-1(erge-)-1(sort)-343(the)]TJ 0 -11.9552 Td[(slo)28(w)27(es)-1(t.)-444(Ho)28(w)27(ev)28(er)-333(note)-334(th)1(at:)]TJ -ET -1 0 0 1 124.802 308.6473 cm + [-500(The)-376(three)-375(sorting)-376(algorithms)-376(ha)28(v)28(e)-376(a)-375(s)-1(imilar)]TJ/F11 9.9626 Tf 208.295 0 Td [(O)]TJ/F8 9.9626 Tf 7.876 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(n)]TJ/F8 9.9626 Tf 7.641 0 Td [(log)]TJ/F11 9.9626 Tf 14.528 0 Td [(n)]TJ/F8 9.9626 Tf 5.98 0 Td [(\051)-376(exp)-27(e)-1(cted)-375(running)]TJ -235.464 -11.955 Td [(time;)-349(in)-343(the)-344(a)28(v)28(erage)-344(case)-343(quic)27(ksort)-343(will)-344(b)-27(e)-344(the)-344(fastest)-343(and)-344(merge-sort)-343(the)]TJ 0 -11.955 Td [(slo)28(w)28(e)-1(st.)-444(Ho)28(w)28(e)-1(v)28(er)-333(note)-333(that:)]TJ 0 g 0 G -1 0 0 1 -124.802 -308.6473 cm -BT -/F8 9.9626 Tf 129.0084 308.6473 Td[(\050a\051)]TJ -ET -1 0 0 1 141.7385 308.6473 cm + 4.206 -19.926 Td [(\050a\051)]TJ 0 g 0 G -1 0 0 1 -141.7385 -308.6473 cm -BT -/F8 9.9626 Tf 146.7198 308.6473 Td[(The)-419(w)28(ors)-1(t)-418(c)-1(ase)-419(ru)1(nni)1(ng)-419(ti)1(m)-1(e)-419(f)1(or)-419(qu)1(ic)27(k)1(s)-1(or)1(t)-419(is)]TJ/F11 9.9626 Tf 203.3472 0 Td[(O)]TJ/F8 9.9626 Tf 7.876 0 Td[(\050)]TJ/F11 9.9626 Tf 3.8744 0 Td[(n)]TJ/F7 6.9738 Tf 5.9799 3.6153 Td[(2)]TJ/F8 9.9626 Tf 4.4694 -3.6153 Td[(\051;)-461(the)-419(algor)1(ith)1(m)]TJ -225.5469 -11.9552 Td[(impl)1(e)-1(me)-1(n)29(te)-1(d)-318(here)-319(follo)28(ws)-319(the)-319(w)27(ell-kn)1(o)27(wn)-318(m)-1(edian)1(-of-thr)1(e)-1(e)-319(heuri)1(s)-1(ti)1(c)-1(s,)]TJ 0 -11.9552 Td[(bu)1(t)-333(the)-334(w)28(orst)-333(c)-1(ase)-334(ma)27(y)-333(still)-333(ap)1(ply)1(;)]TJ -ET -1 0 0 1 124.802 268.7967 cm + 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Tf -185.1024 -25.0525 Td[(acc)-1(ord)1(in)1(g)-413(to)-412(th)1(e)-413(v)56(alue)-412(pass)-1(ed)-412(thr)1(ough)-412(th)1(e)-413(istop)-412(argu)1(me)-1(n)28(t)-412(\050se)-1(e)-412(late)-1(r)1(\051.)-681(In)-412(the)]TJ 0 -11.9552 Td[(ab)-27(o)27(v)28(e)-320(f)1(orm)27(u)1(lae,)]TJ/F11 9.9626 Tf 71.7384 0 Td[(x)]TJ/F10 6.9738 Tf 5.6939 -1.4944 Td[(i)]TJ/F8 9.9626 Tf 6.5034 1.4944 Td[(is)-320(the)-320(ten)28(tativ)28(e)-320(solut)1(ion)-320(an)1(d)]TJ/F11 9.9626 Tf 125.3559 0 Td[(r)]TJ/F10 6.9738 Tf 4.4947 -1.4944 Td[(i)]TJ/F8 9.9626 Tf 6.0842 1.4944 Td[(=)]TJ/F11 9.9626 Tf 10.5161 0 Td[(b)]TJ/F14 9.9626 Tf 6.2208 0 Td[(\000)]TJ/F11 9.9626 Tf 9.6939 0 Td[(Ax)]TJ/F10 6.9738 Tf 13.1659 -1.4944 Td[(i)]TJ/F8 9.9626 Tf 6.5034 1.4944 Td[(th)1(e)-321(corresp)-28(on)1(din)1(g)]TJ -265.9706 -11.9552 Td[(res)-1(i)1(du)1(al)-334(at)-333(th)1(e)]TJ/F11 9.9626 Tf 66.5007 0 Td[(i)]TJ/F8 9.9626 Tf 3.4323 0 Td[(-th)-333(iteration)1(.)]TJ/F18 14.3462 Tf -69.933 -32.4803 Td[(Syn)32(t)-1(ax)]TJ/F8 9.9626 Tf 0 -21.8209 Td[(call)-333(psb)]TJ +/F14 9.9626 Tf 262.327 540.689 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(b)]TJ/F14 9.9626 Tf 4.275 0 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.495 Td [(2)]TJ/F11 9.9626 Tf 8.432 8.329 Td [(<)-278(eps)]TJ/F8 9.9626 Tf -185.103 -25.053 Td [(according)-412(to)-413(the)-412(v)56(alue)-413(passed)-412(through)-412(the)-412(istop)-413(argumen)28(t)-412(\050see)-413(later\051.)-681(In)-412(the)]TJ 0 -11.955 Td [(ab)-28(o)28(v)28(e)-320(form)28(ulae,)]TJ/F11 9.9626 Tf 71.739 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F8 9.9626 Tf 6.503 1.494 Td [(is)-320(the)-320(ten)28(tativ)28(e)-320(solution)-320(and)]TJ/F11 9.9626 Tf 125.356 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.494 Td [(i)]TJ/F8 9.9626 Tf 6.084 1.494 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(b)]TJ/F14 9.9626 Tf 6.221 0 Td [(\000)]TJ/F11 9.9626 Tf 9.694 0 Td [(Ax)]TJ/F10 6.9738 Tf 13.166 -1.494 Td [(i)]TJ/F8 9.9626 Tf 6.503 1.494 Td [(the)-320(corresp)-28(onding)]TJ -265.971 -11.955 Td [(residual)-333(at)-334(the)]TJ/F11 9.9626 Tf 66.501 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(-th)-333(iteration.)]TJ/F16 14.3462 Tf -69.933 -32.481 Td [(Syn)31(tax)]TJ/F8 9.9626 Tf 0 -21.82 Td [(call)-333(psb)]TJ ET -1 0 0 1 184.5668 444.2585 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S +1 0 0 1 133.757 444.458 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -1 0 0 1 -184.5668 -444.2585 cm BT -/F8 9.9626 Tf 187.5556 444.2585 Td[(kr)1(ylo)28(v)]TJ 4.8703 -11.9552 Td[(\050)]TJ/F19 9.9626 Tf 3.8744 0 Td[(metho)51(d,a,pr)52(e)51(c,b,x)1(,eps,desc)]TJ +/F8 9.9626 Tf 136.746 444.258 Td [(krylo)28(v)]TJ 4.87 -11.955 Td [(\050)]TJ/F17 9.9626 Tf 3.875 0 Td [(metho)51(d,a,pr)51(e)51(c,b,x,)1(eps,desc)]TJ ET -1 0 0 1 309.8648 432.3033 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.0552 0.1992 l -S +1 0 0 1 259.055 432.503 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q -1 0 0 1 -309.8648 -432.3033 cm BT -/F19 9.9626 Tf 312.92 432.3033 Td[(a,i)1(n)-1(f)1(o,itmax,)1(iter,er)1(r,i)1(t)-1(r)52(ac)51(e,i)1(rst,is)1(t)-1(op,c)52(o)-1(nd)]TJ/F8 9.9626 Tf 177.6216 0 Td[(\051)]TJ -ET -1 0 0 1 145.7235 408.393 cm +/F17 9.9626 Tf 262.11 432.303 Td [(a,info,itmax,iter,err,itr)51(ac)52(e,irst,istop,c)51(ond)]TJ/F8 9.9626 Tf 177.622 0 Td [(\051)]TJ 0 g 0 G -1 0 0 1 -145.7235 -408.393 cm -BT -/F29 9.9626 Tf 150.7049 408.393 Td[(T)32(yp)-32(e:)]TJ -ET -1 0 0 1 179.5203 408.393 cm +/F27 9.9626 Tf -339.837 -23.91 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -1 0 0 1 -179.5203 -408.393 cm -BT -/F8 9.9626 Tf 184.5016 408.393 Td[(Sy)1(nc)27(h)1(ron)1(ous.)]TJ -ET -1 0 0 1 145.7235 389.5489 cm +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -1 0 0 1 -145.7235 -389.5489 cm -BT -/F29 9.9626 Tf 150.7049 389.5489 Td[(On)-383(En)32(tr)1(y)]TJ -ET -1 0 0 1 198.2901 389.5489 cm +/F27 9.9626 Tf -33.797 -18.844 Td [(On)-383(En)32(try)]TJ 0 g 0 G -1 0 0 1 -52.5665 -18.8441 cm 0 g 0 G -1 0 0 1 -145.7236 -370.7048 cm -BT -/F29 9.9626 Tf 150.7049 370.7048 Td[(met)-1(ho)-31(d)]TJ -ET -1 0 0 1 188.7357 370.7048 cm + 0 -18.844 Td [(metho)-32(d)]TJ 0 g 0 G -1 0 0 1 -188.7357 -370.7048 cm -BT -/F8 9.9626 Tf 193.717 370.7048 Td[(a)-235(s)-1(t)1(rin)1(g)-236(th)1(at)-235(de\014n)1(e)-1(s)-235(the)-235(iterativ)28(e)-235(m)-1(etho)-27(d)-235(to)-235(b)-27(e)-236(use)-1(d)1(.)-412(S)1(up)1(p)-28(or)1(te)-1(d)-234(v)55(al)1(ues)]TJ -18.1055 -11.9552 Td[(are:)]TJ -ET -1 0 0 1 170.6302 339.9055 cm +/F8 9.9626 Tf 43.012 0 Td [(a)-235(string)-235(that)-235(de\014nes)-236(th)1(e)-236(iterativ)28(e)-235(metho)-28(d)-235(to)-235(b)-28(e)-235(used.)-412(Supp)-27(orted)-235(v)55(alues)]TJ -18.105 -11.955 Td [(are:)]TJ 0 g 0 G -1 0 0 1 -170.6302 -339.9055 cm -BT -/F29 9.9626 Tf 175.6115 339.9055 Td[(CG:)]TJ -ET -1 0 0 1 196.0763 339.9055 cm +/F27 9.9626 Tf 0 -18.844 Td [(CG:)]TJ 0 g 0 G -1 0 0 1 -196.0763 -339.9055 cm -BT -/F8 9.9626 Tf 201.0576 339.9055 Td[(th)1(e)-334(Conju)1(gate)-334(Gr)1(adien)28(t)-333(me)-1(th)1(o)-28(d;)]TJ -ET -1 0 0 1 170.6302 325.0465 cm +/F8 9.9626 Tf 25.446 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ 0 g 0 G -1 0 0 1 -170.6302 -325.0465 cm -BT -/F29 9.9626 Tf 175.6115 325.0465 Td[(CGS:)]TJ -ET -1 0 0 1 202.4413 325.0465 cm +/F27 9.9626 Tf -25.446 -14.859 Td [(CGS:)]TJ 0 g 0 G -1 0 0 1 -202.4413 -325.0465 cm -BT -/F8 9.9626 Tf 207.4226 325.0465 Td[(th)1(e)-334(Conju)1(gate)-334(Gr)1(adien)28(t)-333(St)1(abili)1(z)-1(ed)-333(me)-1(th)1(o)-28(d;)]TJ -ET -1 0 0 1 170.6302 310.1874 cm +/F8 9.9626 Tf 31.811 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ 0 g 0 G -1 0 0 1 -170.6302 -310.1874 cm -BT -/F29 9.9626 Tf 175.6115 310.1874 Td[(BICG:)]TJ -ET -1 0 0 1 208.571 310.1874 cm +/F27 9.9626 Tf -31.811 -14.86 Td [(BICG:)]TJ 0 g 0 G -1 0 0 1 -208.571 -310.1874 cm -BT -/F8 9.9626 Tf 213.5524 310.1874 Td[(th)1(e)-334(B)-1(i)1(-)-1(Con)1(jugat)1(e)-334(Grad)1(ien)28(t)-333(m)-1(etho)-27(d;)]TJ -ET -1 0 0 1 170.6302 295.3284 cm +/F8 9.9626 Tf 37.941 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ 0 g 0 G -1 0 0 1 -170.6302 -295.3284 cm -BT -/F29 9.9626 Tf 175.6115 295.3284 Td[(BICGST)96(AB:)]TJ -ET -1 0 0 1 238.7632 295.3284 cm +/F27 9.9626 Tf -37.941 -14.859 Td [(BICGST)96(AB:)]TJ 0 g 0 G -1 0 0 1 -238.7632 -295.3284 cm -BT -/F8 9.9626 Tf 243.7445 295.3284 Td[(th)1(e)-334(B)-1(i)1(-)-1(Con)1(jugat)1(e)-334(Grad)1(ien)28(t)-333(Stab)1(ilize)-1(d)-333(metho)-28(d)1(;)]TJ -ET -1 0 0 1 170.6302 280.4694 cm +/F8 9.9626 Tf 68.133 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ 0 g 0 G -1 0 0 1 -170.6302 -280.4694 cm -BT -/F29 9.9626 Tf 175.6115 280.4694 Td[(BICGST)96(ABL:)]TJ -ET -1 0 0 1 245.654 280.4694 cm +/F27 9.9626 Tf -68.133 -14.859 Td [(BICGST)96(ABL:)]TJ 0 g 0 G -1 0 0 1 -245.654 -280.4694 cm -BT -/F8 9.9626 Tf 250.6353 280.4694 Td[(th)1(e)-223(Bi-)-1(Con)1(ju)1(gate)-223(Gr)1(adien)28(t)-222(Stab)1(ili)1(z)-1(ed)-222(me)-1(th)1(o)-28(d)-222(with)-222(r)1(e)-1(start-)]TJ -53.106 -11.9552 Td[(in)1(g;)]TJ -ET -1 0 0 1 170.6302 253.6552 cm +/F8 9.9626 Tf 75.024 0 Td [(the)-222(Bi-Conjugate)-222(Gradien)27(t)-222(Stabilized)-222(metho)-28(d)-222(with)-222(restart-)]TJ -53.106 -11.955 Td [(ing;)]TJ 0 g 0 G -1 0 0 1 -170.6302 -253.6552 cm -BT -/F29 9.9626 Tf 175.6115 253.6552 Td[(R)31(GM)1(R)-1(E)1(S:)]TJ -ET -1 0 0 1 229.4371 253.6552 cm +/F27 9.9626 Tf -21.918 -14.859 Td [(R)32(GMRES:)]TJ 0 g 0 G -1 0 0 1 -229.4371 -253.6552 cm -BT -/F8 9.9626 Tf 234.4184 253.6552 Td[(th)1(e)-334(Generalize)-1(d)-332(Min)1(im)-1(al)-333(Res)-1(i)1(dual)-333(metho)-28(d)-333(wit)1(h)-333(re)-1(start)1(ing.)]TJ -ET -1 0 0 1 145.7235 234.8111 cm +/F8 9.9626 Tf 58.807 0 Td [(the)-333(Generalized)-334(Minimal)-333(Residual)-333(metho)-28(d)-333(with)-334(restarting.)]TJ 0 g 0 G -1 0 0 1 -145.7235 -234.8111 cm -BT -/F29 9.9626 Tf 150.7049 234.8111 Td[(a)]TJ -ET -1 0 0 1 156.2742 234.8111 cm +/F27 9.9626 Tf -83.714 -18.844 Td [(a)]TJ 0 g 0 G -1 0 0 1 -156.2742 -234.8111 cm -BT -/F8 9.9626 Tf 161.2555 234.8111 Td[(th)1(e)-334(lo)-28(cal)-333(p)-28(or)1(tion)-333(of)-333(glob)1(al)-333(s)-1(p)1(arse)-334(m)-1(at)1(rix)]TJ/F11 9.9626 Tf 178.9682 0 Td[(A)]TJ/F8 9.9626 Tf 7.4719 0 Td[(.)]TJ -172.0841 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3786 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3786 -11.9552 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6112 0 Td[(required)]TJ/F8 9.9626 Tf -29.6112 -11.9551 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(a)-333(s)-1(tr)1(uctured)-333(dat)1(a)-334(of)-333(t)28(yp)-27(e)]TJ -ET -1 0 0 1 346.5264 186.9904 cm +/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 178.968 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -172.084 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -346.5264 -186.9904 cm -BT -/F32 9.9626 Tf 346.5264 186.9904 Td[(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET -1 0 0 1 362.8451 186.9904 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 312.036 187.19 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -362.8451 -186.9904 cm BT -/F32 9.9626 Tf 365.9833 186.9904 Td[(spmat)]TJ +/F30 9.9626 Tf 315.174 186.99 Td [(spmat)]TJ ET -1 0 0 1 392.7626 186.9904 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 341.953 187.19 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -392.7626 -186.9904 cm BT -/F32 9.9626 Tf 395.9008 186.9904 Td[(type)]TJ -ET -1 0 0 1 416.8222 186.9904 cm +/F30 9.9626 Tf 345.091 186.99 Td [(type)]TJ 0 g 0 G -1 0 0 1 -416.8222 -186.9904 cm -BT -/F8 9.9626 Tf 416.8222 186.9904 Td[(.)]TJ -ET -1 0 0 1 145.7235 168.1463 cm +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -1 0 0 1 -145.7235 -168.1463 cm -BT -/F29 9.9626 Tf 150.7049 168.1463 Td[(pr)1(e)-1(c)]TJ -ET -1 0 0 1 172.1314 168.1463 cm +/F27 9.9626 Tf -266.118 -18.844 Td [(prec)]TJ 0 g 0 G -1 0 0 1 -172.1314 -168.1463 cm -BT -/F8 9.9626 Tf 177.1127 168.1463 Td[(The)-334(d)1(ata)-333(s)-1(tr)1(uctur)1(e)-334(c)-1(on)29(tainin)1(g)-333(the)-334(p)1(rec)-1(on)1(diti)1(oner.)]TJ -1.5012 -11.9552 Td[(Scop)-27(e)-1(:)]TJ/F29 9.9626 Tf 32.3786 0 Td[(lo)-32(ca)-1(l)]TJ/F8 9.9626 Tf -32.3786 -11.9551 Td[(T)28(yp)-28(e:)]TJ/F29 9.9626 Tf 29.6112 0 Td[(required)]TJ/F8 9.9626 Tf -29.6112 -11.9552 Td[(In)28(ten)28(t:)]TJ/F29 9.9626 Tf 33.4856 0 Td[(in)]TJ/F8 9.9626 Tf 9.5475 0 Td[(.)]TJ -43.0331 -11.9552 Td[(Sp)-27(ec)-1(i\014)1(e)-1(d)-332(as)-1(:)-444(a)-333(s)-1(tr)1(uctured)-333(dat)1(a)-334(of)-333(t)28(yp)-27(e)]TJ -ET -1 0 0 1 346.5264 120.3256 cm +/F8 9.9626 Tf 26.408 0 Td [(The)-333(data)-334(structure)-333(con)28(taining)-333(the)-334(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -1 0 0 1 -346.5264 -120.3256 cm -BT -/F32 9.9626 Tf 346.5264 120.3256 Td[(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET -1 0 0 1 362.8451 120.3256 cm q -[]0 d -0 J -0.3985 w -0 0.1992 m -3.1382 0.1992 l -S +1 0 0 1 312.036 120.525 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q -1 0 0 1 -362.8451 -120.3256 cm BT 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All Rights Reserved. -11 dict begin -/FontInfo 7 dict dup begin -/version (1.0) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMR7) readonly def -/FamilyName (Computer Modern) readonly def -/Weight (Medium) readonly def -/ItalicAngle 0 def -/isFixedPitch false def -end readonly def -/FontName /OWOJPQ+CMR7 def +/FontName /EWABFK+CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 58 /colon put dup 49 /one put -dup 50 /two put dup 51 /three put -dup 58 /colon put +dup 50 /two put readonly def /FontBBox{-27 -250 1122 750}readonly def currentdict end @@ -35373,374 +20053,387 @@ _2 àR • ‚k ½v`5ŽÑeMþT­$lÞ…üÓÀ¿zp¹H{R~¨#À 9ÛaýfA±@üí…€ØgAÒIKN|¡ñ Ë°¥2¾œ«ëp£è!/xé<˜³w®(€þ9ºâ”Q…}³IdÚ&¬¤Í#Î(JÎ7Ø•qÿËgÞzãy·K2ì¬ÅóÞfΞè éo'e¿ì³VÞTüÜW»œ¨‘ów Á½V8Ì8΄QÔvƒˆÌJîÐ5mz}ç6Íï,š'U®®°¡‚†yÍež ½çXÁ@gÚÕÿÇÌô4qGagkôìKÝ“=-ïžB¡{­EŒ -¡b›x}‰èË÷…¹Òºz’™­ºs7'þõ¸­)Æãõ8-X“ûTåG`û‡9?óPíe•úã“:– “^­‘3¶›‚~§ÍhécîxbkÜå1!o^ëå™KÙWk«ìi7ݱ‚=3OÿÕá£ßø äô¼|ó0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -cleartomark +¡b›x}‰èË÷…¹Òºz’™­ºs7'þõ¸­)Æãõ8-X“ûTåG`û‡9?óPíe•úã“:– “^­‘3¶›‚~§ÍhécîxbkÜå1!o^ëå™KÙWk«ìi7ݱ‚=3OÿÕá£ßø äô¼|ó endstream endobj -627 0 obj << -/Type /Font -/Subtype /Type1 -/Encoding 1626 0 R -/FirstChar 49 -/LastChar 58 -/Widths 1627 0 R -/BaseFont /OWOJPQ+CMR7 -/FontDescriptor 625 0 R ->> endobj -625 0 obj << +1623 0 obj << +/Type /FontDescriptor +/FontName /EWABFK+CMR7 +/Flags 4 +/FontBBox [-27 -250 1122 750] /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /OWOJPQ+CMR7 /ItalicAngle 0 /StemV 79 /XHeight 431 -/FontBBox [-27 -250 1122 750] -/Flags 4 -/CharSet (/one/two/three/colon) -/FontFile 626 0 R ->> endobj -1627 0 obj -[569 569 569 0 0 0 0 0 0 323 ] -endobj -1626 0 obj << -/Type /Encoding -/Differences [ 0 /.notdef 49/one/two/three 52/.notdef 58/colon 59/.notdef] +/CharSet (/colon/one/three/two) +/FontFile 1622 0 R >> endobj -621 0 obj << -/Length1 1775 -/Length2 11063 -/Length3 532 -/Length 13370 +1624 0 obj << +/Length1 1462 +/Length2 8120 +/Length3 0 +/Length 9582 >> stream -%!PS-AdobeFont-1.1: CMTT10 1.00B -%%CreationDate: 1992 Apr 26 10:42:42 +%!PS-AdobeFont-1.1: CMR8 1.0 +%%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.00B) readonly def +/version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMTT10) readonly def +/FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def -/isFixedPitch true def +/isFixedPitch false def end readonly def -/FontName /BAVIHU+CMTT10 def +/FontName /TDRORS+CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 40 /parenleft put -dup 41 /parenright put -dup 42 /asterisk put -dup 43 /plus put -dup 44 /comma put -dup 45 /hyphen put -dup 46 /period put -dup 47 /slash put -dup 48 /zero put -dup 49 /one put -dup 50 /two put -dup 51 /three put -dup 52 /four put -dup 53 /five put -dup 54 /six put -dup 57 /nine put -dup 58 /colon put -dup 61 /equal put -dup 65 /A put dup 66 /B put -dup 67 /C put -dup 68 /D put -dup 69 /E put -dup 70 /F put +dup 71 /G put dup 73 /I put -dup 75 /K put dup 76 /L put -dup 77 /M put -dup 78 /N put dup 79 /O put dup 80 /P put -dup 82 /R put -dup 83 /S put dup 84 /T put -dup 85 /U put -dup 87 /W put -dup 89 /Y put -dup 92 /backslash put -dup 95 /underscore put +dup 88 /X put dup 97 /a put dup 98 /b put dup 99 /c put +dup 44 /comma put dup 100 /d put dup 101 /e put +dup 56 /eight put dup 102 /f put +dup 53 /five put +dup 52 /four put dup 103 /g put dup 104 /h put +dup 45 /hyphen put dup 105 /i put -dup 106 /j put -dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put +dup 57 /nine put dup 111 /o put +dup 49 /one put dup 112 /p put +dup 40 /parenleft put +dup 41 /parenright put +dup 46 /period put dup 113 /q put dup 114 /r put dup 115 /s put +dup 55 /seven put +dup 54 /six put +dup 47 /slash put dup 116 /t put +dup 51 /three put +dup 50 /two put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put -dup 122 /z put -dup 126 /asciitilde put +dup 48 /zero put readonly def -/FontBBox{-4 -235 731 800}readonly def +/FontBBox{-36 -250 1070 750}readonly def currentdict end currentfile eexec -ÙÖoc;„j—¶†©~E£Ðª*Bg·N³ÀÓ½ ƒØ‘l¦ÊKq*Þ²Xú«šææwüsŠ¼|QÍFïq˜Õþæv`æšz¹XòšMyåp"÷ƒë»¶Ôôì5OÒÞË©”Y¤ÅðÆë¡P(DTçÜ!Á[v´Á›„67XFšlU‡…²&3!R˜q©ˆ4‡Ýw”’Ýσ~j‡¸+Ûño¼uú£ “þ_ùc‹‚2BžØ·Ïj=‡š-8Ý\DgùÝŒ] ³¦¿/%b›®Á™®‹ÔºnÙ»÷Ú¿ÐáSº±ÁyÔüâ b*ÍçÇL(Ð9sWí«F Rë:E·¬Mks­ƒH…02§Eô”?›Oíe+ƒZ¤—'¨´zÿK΃µ¶…–оi‚·f Ë<àÂ,¬ÝE“òDÁNìZ|JÄ#’ø¼BWþ¯3ô¿ê‘ÿÏ—MÖìp¢ÄÁäó(¡ë%ä5%ûÀ~(Ì5öBk}Aêj „Ýc'S•¥ªéáÈ-8ŸÑ*!èi™yž$©”G.¡®w g ¾ ªÒJ0Ùn¥r -û;Òà¬Á¡ Kèr^×ã©o™x¼7p4Ù= C‘åyÃOùü#yËŸ[¾©â4éê¨9'nÀÙ*¹xÁxÛ/J}û¥oÖ¯†pë6OÞÊû¯e}hà1‘W6Ϋª‹¥À¬%(ƒi]I½‰«ïèiš -ãí…´ŠË""žb3™É=çÙ5sJÚÚzbÁÔJÕ>£[Wåеü H ä2"ÛŽüÕÓùº0O¨y9.à¼Àá¦t³¡ü:=×$E€Çª Æ]t¥þoŒ¿`% -Ì'EK¿—ÊKœƒ¥fr•‡RíK^yá†`vO^†ðžúŸv…òõ~ÈZwR‡³ iÞNMWçÐ3HS¢p+§T,q!s0Ï(عÆ;U–©´+3çÙ"”J8q3ƒÓdŠJñ`£°Èó7›¤7+âçêIªºu®îÅÝáØ¿hH<=!'€«¹TÌ–€2.«rá% -v ÈÜÿy*¿ÄóS“’˜\L³$°r)_Á`‹°5_ÜO㛘H&ESãÒqð=ÂÑ*’¤Ó 4ýÚ¸vØŒŒ s„FØ×䡨—Ÿ›ì37ç »ã£w#[Ç›»ÛfÎA‰Ú·Î‘òü ¯mÚЙ’Õor)h&î=åÛ|ö6kL×OAD„ÜͺD›ý*â -°MÊö‚:7¯õjm˜mˆög¾:Û³–›DY¨eן¯‚±µ®Y,ýªÞšP&cvñXåiã“rãN?õ­‡)Œig"ÑÕf-yˆ€B]@0(i"/³8²ø=¤’œQ_@Íë*êsÜþk?«}‹¾¿ª|þ-×/²ùl’©tÔ«ÇÄíË5ËXO6½#èa>{|¨ñýä³É,èÿpÌ/ÊÓ Ð…uNÉåÔ,Q1œ^qœÏƒZá'•eØMÂV…Z=üÈ,”ÉB:†Åmš[„õ¦hù:ŸóÊsZÚ‡Ó=?€+m+ŠsÄ^3ë±IÅVPÝ{ÞÅãpvHrQêšN¬åÅ=ë¨Q²É|É’lÇn°¢uäÑréè% ·~dLA$ΰæxóo7»C7°¯b•Â&.®{ò”$e9:÷è•yEÄ$=}¯½D…À”pÙAS"~ÈPtöˆñèJ§ªèJm‡§2+gu•Ã§b¢ß`þŠyß¿¶µ6+­1ýbºs:g“6ïtÑ|n_ãÁ†bÃÁ4¦Ž¥°#ÞálТ [Tz‹¾[ïdPŸkÑ3JÇxvüß4.êD<ÐZ8.næ -0©L‰¦Áb…`‹§öóÓ÷7á|¹ŸÇcïbµóæœÔtpöJ6÷ƹuj“r„CµZTÞR‹'W¨ß™Ò¡Dj4hÀùE1‰¡ÓÐØk‡ä¢õ^Ù «ó z¦v UgT#èÆLD—¾IæàÅ ±j•÷ºE²üóÎukŒ/}›zíõíTêŸl¯2Ï}uœµ‰ù«%ïq­DJÅ}™9§ó7‹Wb‚Sù¤×•AÇcë‰{6-_HÅöXÞ ‘ü*;av6m…‹·ÓßJƒe aœ©S N•U_Ûƒ iŸSи£„i¢Ú¢cr@|ÓôŸ¦;öõž¹úZîs~TŸJX«b›0=‡ÌÌ/˜dn²)3öø•çg E®-6âlP1Ã¥lOqv“ŠÒt(dà—Ö›GE Oày$)&ö.úðŸ»çòe;ÄZcÀMG(/_í¡öÕBœÛ45<Žñ…¥…ð~M”þs¤nöˆÎm´u?Wks»­P+•±×K½ÖeýWœ„Ü|A[Ñç‡ÇPˆ/ Ï0d^±ú‰®ý£æR5ªiŠÁ[3 MË(V'¥öï¤JmX/áU\ªÍ7óBAÁ? -›à Öþ§.ì:E.öAùŠåNÛS…ˆ±`– -Ì 3³ ¬-sæJ©rzoPÚs.ñÚ¿†!?.õsDá ƒy€–›¡Ï’ΟK€µ4\[¬„T “Çc|WÔûïNÊIè<&€}⮾#ít5 ù¹f:ZH£!,˜‚aOš·Ã¥\8Jþé’ˆÒÄa+G2J—ÅöûíxIçG™“yä•ii0€A.•¬ã<‚ç>Þ»ÌGþ¿£×ñ ¶¢ì¦`úiæ›è4áóÍ~Üqn“OáÛàâ.b©^i¹|(íGšoDážÝö…IJ*; ó6!-6à¯B’&Ì1žÍ1 •:kÉõ›sb=ÖÓ‚{ËýjÉX8˜˜a¤šOÓwq¿-¯¶yã_±–IË êÁÂŒ6 -û¨¦°}1£õA0wy‹½ˆÆUiYÓA;ò³Iè ¬…5ûTpbxÔ•Õ1ÎïÑø-–a^æ[tMY!Òâéå‚‚þ¸væq«è™ M ¡ûÈÍú+ (f1§Î6Ë46µcXêâCàUγì ÀÂ)îÃ…²¡iú#"m!žÈX\†·AÁ:WÁ â.”5¯þ®K˜Ê¼‰Í…b(j3œÚ×û—šù“h”ÃZ ëÜ4Ä@±Nb¾»ÆYšÔ&Ñ°3ÚJ*v=¹”¾ß3>8,_§ö%ü¤Y«Âëï¨ÓΟ¨É‘ψæ䧸¸~:d)<ºÿ·£Þ>@rOÅ¡J#~??…TŠµ¦Ìža]T]N#ñ+VEÿzi–ÐÓ¡ÚÖ‹¿ü^Èß­Ü6¬Bäª\²e xØùߟxÊÏ“¶v«­`#Gä°WžÓROêÔm.*:=‘_¿xgÒêÜ;tõm€¾*워}÷¼YnÒ¿¯ºêCsúõs­ì*Ó£Œö :e@¤ -k/Á­;YÑ£‘}xÚ˜å£Û1ôxЭ̡k¦³¡LÁ² Ãds‚9®ŽDIŠÚ ¿4XRjƒ˜9ùCŸZõLŠ¦mÕvž+Ѥۃ4µÖ0ïÐY?fþQ¼Ñé o9ëQ¼†ÈãÒËg ÇܨèH½¤H­ ‰Myò#©RÛ‘ª«µµÛàëÕ[¿¢­ÛlE’V·Â·¡p_?‘¡¨+t'„§ÿ¡pücSô©¿@m„œÿ/þïWÏó<3ÐI¬õö«u%ƒ3š»îì+)ÌSTyO{èø¨bí _ªN¦ì}ŸuÓJŠ J¸P2ÎÝŽêý/¡g¾MÀûH/™ #=ì Õ¼à!ŒIJNWÖZ%UÖxÖê´* z€ä3úw^„N:r*«#*`xSµh¢u3aNÿˆNWŽ½ÓC.âœ=†–…°4Íñ|ËMöf”}B L–LÇøä—o—¶C:çzÕTˆXYæFèw?ˆ§©ù>ÃÈà¼Ce±c‡$‘jÑ À‡­{¥! 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.0) readonly def +/version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMTI12) readonly def +/FullName (CMTT10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.04 def -/isFixedPitch false def +/ItalicAngle 0 def +/isFixedPitch true def end readonly def -/FontName /CJCVBR+CMTI12 def +/FontName /XUVRTY+CMTT10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -36345,160 +20720,165 @@ end readonly def 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 66 /B put +dup 67 /C put +dup 68 /D put +dup 69 /E put +dup 70 /F put +dup 73 /I put +dup 75 /K put dup 76 /L put +dup 77 /M put +dup 78 /N put +dup 79 /O put dup 80 /P put +dup 82 /R put dup 83 /S put +dup 84 /T put +dup 85 /U put +dup 87 /W put +dup 89 /Y put dup 97 /a put +dup 126 /asciitilde put +dup 42 /asterisk put dup 98 /b put +dup 92 /backslash put dup 99 /c put +dup 58 /colon put +dup 44 /comma put dup 100 /d put dup 101 /e put +dup 61 /equal put dup 102 /f put +dup 53 /five put +dup 52 /four put dup 103 /g put dup 104 /h put +dup 45 /hyphen put dup 105 /i put +dup 106 /j put +dup 107 /k put dup 108 /l put +dup 109 /m put dup 110 /n put +dup 57 /nine put dup 111 /o put +dup 49 /one put dup 112 /p put +dup 40 /parenleft put +dup 41 /parenright put +dup 46 /period put +dup 43 /plus put +dup 113 /q put dup 114 /r put dup 115 /s put +dup 54 /six put +dup 47 /slash put dup 116 /t put +dup 51 /three put +dup 50 /two put dup 117 /u put +dup 95 /underscore put +dup 118 /v put +dup 119 /w put +dup 120 /x put dup 121 /y put +dup 122 /z put +dup 48 /zero put readonly def -/FontBBox{-36 -251 1103 750}readonly def +/FontBBox{-4 -235 731 800}readonly def currentdict end currentfile eexec -ÙÖoc;„j—¶†©~E£Ðª)s™§„̾…´™;.ëÞ;Ôr·ÏTeò…ji«–íK­/df5à¶A|Ç{S/…ØÇ )¡šSïcë\^ÈŸÆÂm‰çÙäp·+ïÚ#õßv¾¯Lé17¢íŠ©×Öýó~kÍàÙ ˜d#å– -]Ÿ»L•eVèßËúìGo£oÙ¥È\šõþÙÂÝÒkÜ ™9‹ŸMÖ¨ð[G¯•ï(©ÅaÛܘÄ|õRPóÛ忲è>f·ù}Ý|àî·Zx½’'¿5+jÛŠÅz3þÔïp…±â¹3Þ`/÷gìÕtJã8¯) &÷Óh¬o%̸‚Û{sCVa’½h~I"Y‚‚0'Ó¶g; ·§æ€¦‚¹€#Óœ®¥Õ¸g ¦lŠ ÛÈ;–¨O6¬jy·g½Ìà -H@nÎ… -l‰²þÜ2qÂŽwÞ—Me]õÿ}Aíþq}’Šˆ_o¦ÏäÒÀ€Ž“yà–íÑ£ºg€+JIua; 5m˺ÔڳŞp¤pXõ!cÑsäÑø|:Jç#¢<ýy†üO½9“Géõ”cTàØ`üDjÿ DõÚ'Ìw|–­³ˆÑè5ÝËá#ûQvy¹·ïin QQ âdpAÀO¨ZH󬧨>5Õº )j¼YNÊ,²~’þÙ[Y\!å¿ §$ÔaË7{Þ_¹Œ-l ÉŒ@ƒéec!¿ÄEÍoÌ-ïâ}ÖúгR#±§ÖwŸ9Ç“O,;rЮmŽ;Ôxx]®§JøÇTƒ·eS戜-‡Œ:Õ?æ,åö0nÄÁŨ[úx÷ûÍ“pˆƒ*[Øoç—,œ„5v5h«fO[Æ! 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R (page.80) 1222 0 R (page.81) 1227 0 R (page.82) 1233 0 R (page.83) 1238 0 R] +/Limits [(page.79) (page.83)] +>> endobj +1688 0 obj << +/Names [(page.84) 1246 0 R (page.85) 1252 0 R (page.86) 1261 0 R (page.87) 1269 0 R (page.88) 1277 0 R (page.89) 1285 0 R] +/Limits [(page.84) (page.89)] +>> endobj +1689 0 obj << +/Names [(page.9) 686 0 R (page.90) 1294 0 R (page.91) 1303 0 R (page.92) 1309 0 R (page.93) 1320 0 R (page.94) 1325 0 R] +/Limits [(page.9) (page.94)] +>> endobj +1690 0 obj << +/Names [(page.95) 1330 0 R (page.96) 1343 0 R (page.97) 1347 0 R (page.98) 1356 0 R (page.99) 1364 0 R (page.i) 499 0 R] +/Limits [(page.95) (page.i)] +>> endobj +1691 0 obj << +/Names [(page.ii) 550 0 R (page.iii) 571 0 R (page.iv) 575 0 R (precdata) 734 0 R (section*.1) 500 0 R (section*.10) 78 0 R] +/Limits [(page.ii) (section*.10)] +>> endobj +1692 0 obj << +/Names [(section*.100) 1228 0 R (section*.101) 242 0 R (section*.102) 1234 0 R (section*.103) 1239 0 R (section*.104) 246 0 R 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[(section*.15) (section*.154)] +>> endobj +1702 0 obj << +/Names [(section*.155) 1400 0 R (section*.156) 338 0 R (section*.157) 1405 0 R (section*.158) 1406 0 R (section*.159) 342 0 R (section*.16) 90 0 R] +/Limits [(section*.155) (section*.16)] +>> endobj +1703 0 obj << +/Names [(section*.160) 1412 0 R (section*.161) 1413 0 R (section*.162) 346 0 R (section*.163) 1419 0 R (section*.164) 1420 0 R (section*.165) 350 0 R] +/Limits [(section*.160) (section*.165)] +>> endobj +1704 0 obj << +/Names [(section*.166) 1426 0 R (section*.167) 1427 0 R (section*.168) 354 0 R (section*.169) 1434 0 R (section*.17) 766 0 R (section*.170) 1435 0 R] +/Limits [(section*.166) (section*.170)] +>> endobj +1705 0 obj << +/Names [(section*.171) 358 0 R (section*.172) 1441 0 R (section*.173) 1442 0 R (section*.174) 362 0 R (section*.175) 1448 0 R (section*.176) 1449 0 R] +/Limits [(section*.171) (section*.176)] +>> endobj +1706 0 obj << +/Names [(section*.177) 370 0 R (section*.178) 1467 0 R (section*.179) 374 0 R (section*.18) 94 0 R (section*.180) 1473 0 R (section*.181) 378 0 R] +/Limits [(section*.177) (section*.181)] +>> endobj +1707 0 obj << +/Names [(section*.182) 1478 0 R (section*.183) 382 0 R (section*.184) 1483 0 R (section*.185) 390 0 R (section*.186) 1493 0 R (section*.187) 394 0 R] +/Limits [(section*.182) (section*.187)] +>> endobj +1708 0 obj << +/Names [(section*.188) 1499 0 R (section*.189) 398 0 R (section*.19) 773 0 R (section*.190) 1506 0 R (section*.191) 402 0 R (section*.192) 1511 0 R] +/Limits [(section*.188) (section*.192)] +>> endobj +1709 0 obj << +/Names [(section*.193) 406 0 R (section*.194) 1517 0 R (section*.195) 414 0 R (section*.196) 1528 0 R (section*.197) 1529 0 R (section*.198) 418 0 R] +/Limits [(section*.193) (section*.198)] +>> endobj +1710 0 obj << +/Names [(section*.199) 1539 0 R (section*.2) 62 0 R (section*.20) 98 0 R (section*.200) 422 0 R (section*.201) 1547 0 R (section*.202) 426 0 R] +/Limits [(section*.199) (section*.202)] +>> endobj +1711 0 obj << +/Names [(section*.203) 1553 0 R (section*.204) 434 0 R (section*.205) 1564 0 R (section*.206) 1583 0 R (section*.21) 774 0 R (section*.22) 775 0 R] +/Limits [(section*.203) (section*.22)] +>> endobj +1712 0 obj << +/Names [(section*.23) 106 0 R (section*.24) 791 0 R (section*.25) 110 0 R (section*.26) 806 0 R (section*.27) 114 0 R (section*.28) 820 0 R] +/Limits [(section*.23) (section*.28)] +>> endobj +1713 0 obj << +/Names [(section*.29) 118 0 R (section*.3) 735 0 R (section*.30) 833 0 R (section*.31) 122 0 R (section*.32) 845 0 R (section*.33) 126 0 R] +/Limits [(section*.29) (section*.33)] +>> endobj +1714 0 obj << +/Names [(section*.34) 853 0 R (section*.35) 130 0 R (section*.36) 866 0 R (section*.37) 134 0 R (section*.38) 879 0 R (section*.39) 138 0 R] +/Limits [(section*.34) (section*.39)] +>> endobj +1715 0 obj << +/Names [(section*.4) 66 0 R (section*.40) 890 0 R (section*.41) 142 0 R (section*.42) 905 0 R (section*.43) 146 0 R (section*.44) 917 0 R] +/Limits 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b/test/fileread/cf_sample.f90 index 46310f5d..5d88a4dd 100644 --- a/test/fileread/cf_sample.f90 +++ b/test/fileread/cf_sample.f90 @@ -64,6 +64,8 @@ program cf_sample character(len=5) :: afmt character(len=20) :: name + character(len=2) :: filefmt + integer, parameter :: iunit=12 integer :: iparm(20) ! other variables @@ -92,7 +94,7 @@ program cf_sample ! ! get parameters ! - call get_parms(ictxt,mtrx_file,rhs_file,kmethd,ptype,& + call get_parms(ictxt,mtrx_file,rhs_file,filefmt,kmethd,ptype,& & ipart,afmt,istopc,itmax,itrace,irst,eps) call psb_barrier(ictxt) @@ -101,16 +103,35 @@ program cf_sample nrhs = 1 if (iam==psb_root_) then - call read_mat(mtrx_file, aux_a, ictxt) - + select case(psb_toupper(filefmt)) + case('MM') + ! For Matrix Market we have an input file for the matrix + ! and an (optional) second file for the RHS. + call mm_mat_read(aux_a,info,iunit=iunit,filename=mtrx_file) + if (info == 0) then + if (rhs_file /= 'NONE') then + call mm_vet_read(aux_b,info,iunit=iunit,filename=rhs_file) + end if + end if + + case ('HB') + ! For Harwell-Boeing we have a single file which may or may not + ! contain an RHS. + call hb_read(aux_a,info,iunit=iunit,b=aux_b,filename=mtrx_file) + + case default + info = -1 + write(0,*) 'Wrong choice for fileformat ', filefmt + end select + if (info /= 0) then + write(0,*) 'Error while reading input matrix ' + call psb_abort(ictxt) + end if + m_problem = aux_a%m call psb_bcast(ictxt,m_problem) - - if(rhs_file /= 'NONE') then - ! reading an rhs - call read_rhs(rhs_file,aux_b,info,ictxt) - end if - + + ! At this point aux_b may still be unallocated if (psb_size(aux_b,dim=1)==m_problem) then ! if any rhs were present, broadcast the first one write(0,'("Ok, got an rhs ")') diff --git a/test/fileread/df_sample.f90 b/test/fileread/df_sample.f90 index 882d4c60..66917d4b 100644 --- a/test/fileread/df_sample.f90 +++ b/test/fileread/df_sample.f90 @@ -64,6 +64,8 @@ program df_sample character(len=5) :: afmt character(len=20) :: name + character(len=2) :: filefmt + integer, parameter :: iunit=12 integer :: iparm(20) ! other variables @@ -92,7 +94,7 @@ program df_sample ! ! get parameters ! - call get_parms(ictxt,mtrx_file,rhs_file,kmethd,ptype,& + call get_parms(ictxt,mtrx_file,rhs_file,filefmt,kmethd,ptype,& & ipart,afmt,istopc,itmax,itrace,irst,eps) call psb_barrier(ictxt) @@ -101,16 +103,35 @@ program df_sample nrhs = 1 if (iam==psb_root_) then - call read_mat(mtrx_file, aux_a, ictxt) - + select case(psb_toupper(filefmt)) + case('MM') + ! For Matrix Market we have an input file for the matrix + ! and an (optional) second file for the RHS. + call mm_mat_read(aux_a,info,iunit=iunit,filename=mtrx_file) + if (info == 0) then + if (rhs_file /= 'NONE') then + call mm_vet_read(aux_b,info,iunit=iunit,filename=rhs_file) + end if + end if + + case ('HB') + ! For Harwell-Boeing we have a single file which may or may not + ! contain an RHS. + call hb_read(aux_a,info,iunit=iunit,b=aux_b,filename=mtrx_file) + + case default + info = -1 + write(0,*) 'Wrong choice for fileformat ', filefmt + end select + if (info /= 0) then + write(0,*) 'Error while reading input matrix ' + call psb_abort(ictxt) + end if + m_problem = aux_a%m call psb_bcast(ictxt,m_problem) - - if(rhs_file /= 'NONE') then - ! reading an rhs - call read_rhs(rhs_file,aux_b,info,ictxt) - end if - + + ! At this point aux_b may still be unallocated if (psb_size(aux_b,dim=1)==m_problem) then ! if any rhs were present, broadcast the first one write(0,'("Ok, got an rhs ")') @@ -123,14 +144,16 @@ program df_sample call psb_errpush(4000,name) goto 9999 endif - + b_col_glob => aux_b(:,1) do i=1, m_problem b_col_glob(i) = 1.d0 enddo endif call psb_bcast(ictxt,b_col_glob(1:m_problem)) + else + call psb_bcast(ictxt,m_problem) call psb_realloc(m_problem,1,aux_b,ircode) if (ircode /= 0) then @@ -139,6 +162,7 @@ program df_sample endif b_col_glob =>aux_b(:,1) call psb_bcast(ictxt,b_col_glob(1:m_problem)) + end if ! switch over different partition types diff --git a/test/fileread/getp.f90 b/test/fileread/getp.f90 index 6680f65a..9f48114b 100644 --- a/test/fileread/getp.f90 +++ b/test/fileread/getp.f90 @@ -38,10 +38,11 @@ contains ! ! Get iteration parameters from the command line ! - subroutine get_dparms(ictxt,mtrx_file,rhs_file,kmethd,ptype,ipart,& + subroutine get_dparms(ictxt,mtrx_file,rhs_file,filefmt,kmethd,ptype,ipart,& & afmt,istopc,itmax,itrace,irst,eps) use psb_base_mod integer :: ictxt + character(len=2) :: filefmt character(len=40) :: kmethd, mtrx_file, rhs_file, ptype integer :: iret, istopc,itmax,itrace,ipart,irst character(len=40) :: charbuf @@ -57,6 +58,7 @@ contains if (ip >= 5) then read(*,*) mtrx_file read(*,*) rhs_file + read(*,*) filefmt read(*,*) kmethd read(*,*) ptype read(*,*) afmt @@ -64,6 +66,7 @@ contains call psb_bcast(ictxt,mtrx_file) call psb_bcast(ictxt,rhs_file) + call psb_bcast(ictxt,filefmt) call psb_bcast(ictxt,kmethd) call psb_bcast(ictxt,ptype) call psb_bcast(ictxt,afmt) @@ -119,6 +122,7 @@ contains ! Receive Parameters call psb_bcast(ictxt,mtrx_file) call psb_bcast(ictxt,rhs_file) + call psb_bcast(ictxt,filefmt) call psb_bcast(ictxt,kmethd) call psb_bcast(ictxt,ptype) call psb_bcast(ictxt,afmt) @@ -135,10 +139,11 @@ contains end subroutine get_dparms - subroutine get_sparms(ictxt,mtrx_file,rhs_file,kmethd,ptype,ipart,& + subroutine get_sparms(ictxt,mtrx_file,rhs_file,filefmt,kmethd,ptype,ipart,& & afmt,istopc,itmax,itrace,irst,eps) use psb_base_mod integer :: ictxt + character(len=2) :: filefmt character(len=40) :: kmethd, mtrx_file, rhs_file, ptype integer :: iret, istopc,itmax,itrace,ipart,irst character(len=40) :: charbuf @@ -154,6 +159,7 @@ contains if (ip >= 5) then read(*,*) mtrx_file read(*,*) rhs_file + read(*,*) filefmt read(*,*) kmethd read(*,*) ptype read(*,*) afmt @@ -161,6 +167,7 @@ contains call psb_bcast(ictxt,mtrx_file) call psb_bcast(ictxt,rhs_file) + call psb_bcast(ictxt,filefmt) call psb_bcast(ictxt,kmethd) call psb_bcast(ictxt,ptype) call psb_bcast(ictxt,afmt) @@ -216,6 +223,7 @@ contains ! Receive Parameters call psb_bcast(ictxt,mtrx_file) call psb_bcast(ictxt,rhs_file) + call psb_bcast(ictxt,filefmt) call psb_bcast(ictxt,kmethd) call psb_bcast(ictxt,ptype) call psb_bcast(ictxt,afmt) diff --git a/test/fileread/runs/cfs.inp b/test/fileread/runs/cfs.inp index 6a9e0458..29ba24c4 100644 --- a/test/fileread/runs/cfs.inp +++ b/test/fileread/runs/cfs.inp @@ -1,7 +1,8 @@ 11 Number of inputs -young1c.mtx waveguide3D.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or +young1c.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or NONE http://www.cise.ufl.edu/research/sparse/matrices/index.html -BICGSTAB Iterative method: BiCGSTAB CGS RGMRES BiCGSTABL +MM File format: MM: Matrix Market HB: Harwell-Boeing. +BICGSTAB Iterative method: BiCGSTAB CGS RGMRES BiCGSTABL BICG CG BJAC Preconditioner NONE DIAG BJAC CSR Storage format CSR COO JAD 0 IPART: Partition method 0: BLK 2: graph (with Metis) diff --git a/test/fileread/runs/dfs.inp b/test/fileread/runs/dfs.inp index dc18879b..1be6c6de 100644 --- a/test/fileread/runs/dfs.inp +++ b/test/fileread/runs/dfs.inp @@ -1,12 +1,13 @@ 11 Number of inputs -thm1000x600.mtx young1r.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or -NONE rhs.mtx NONE http://www.cise.ufl.edu/research/sparse/matrices/index.html -BICGSTAB Iterative method: BiCGSTAB CGS RGMRES BiCGSTABL -BJAC Preconditioner NONE DIAG BJAC +sherman3.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or +sherman3_rhs1.mtx http://www.cise.ufl.edu/research/sparse/matrices/index.html +MM File format: MM: Matrix Market HB: Harwell-Boeing. +BICGSTAB Iterative method: BiCGSTAB CGS RGMRES BiCGSTABL BICG CG +BJAC Preconditioner NONE DIAG BJAC CSR Storage format CSR COO JAD -2 IPART: Partition method 0: BLK 2: graph (with Metis) +0 IPART: Partition method 0: BLK 2: graph (with Metis) 2 ISTOPC 01000 ITMAX --1 ITRACE +01 ITRACE 30 IRST (restart for RGMRES and BiCGSTABL) 1.d-6 EPS diff --git a/test/fileread/runs/sfs.inp b/test/fileread/runs/sfs.inp index 2bb6cb77..4f930c5b 100644 --- a/test/fileread/runs/sfs.inp +++ b/test/fileread/runs/sfs.inp @@ -1,7 +1,8 @@ 11 Number of inputs -thm1000x600.mtx young1r.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or +young1r.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or NONE http://www.cise.ufl.edu/research/sparse/matrices/index.html -BICGSTABL Iterative method: BiCGSTAB CGS RGMRES BiCGSTABL +MM File format: MM: Matrix Market HB: Harwell-Boeing. +BICGSTAB Iterative method: BiCGSTAB CGS RGMRES BiCGSTABL BICG CG BJAC Preconditioner NONE DIAG BJAC CSR Storage format CSR COO JAD 0 IPART: Partition method 0: BLK 2: graph (with Metis) diff --git a/test/fileread/runs/zfs.inp b/test/fileread/runs/zfs.inp index aada5268..676c75fb 100644 --- a/test/fileread/runs/zfs.inp +++ b/test/fileread/runs/zfs.inp @@ -1,7 +1,8 @@ 11 Number of inputs -kim1.mtx aft02.mtx qc2534.mtx young1c.mtx waveguide3D.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or -NONE http://www.cise.ufl.edu/research/sparse/matrices/index.html -CGS Iterative method: BiCGSTAB CGS RGMRES BiCGSTABL +young1c.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or +NONE http://www.cise.ufl.edu/research/sparse/matrices/index.html +MM File format: MM: Matrix Market HB: Harwell-Boeing. +BICGSTAB Iterative method: BiCGSTAB CGS RGMRES BiCGSTABL BICG CG BJAC Preconditioner NONE DIAG BJAC CSR Storage format CSR COO JAD 0 IPART: Partition method 0: BLK 2: graph (with Metis) diff --git a/test/fileread/sf_sample.f90 b/test/fileread/sf_sample.f90 index 768e1206..88e26675 100644 --- a/test/fileread/sf_sample.f90 +++ b/test/fileread/sf_sample.f90 @@ -64,6 +64,8 @@ program sf_sample character(len=5) :: afmt character(len=20) :: name + character(len=2) :: filefmt + integer, parameter :: iunit=12 integer :: iparm(20) ! other variables @@ -92,7 +94,7 @@ program sf_sample ! ! get parameters ! - call get_parms(ictxt,mtrx_file,rhs_file,kmethd,ptype,& + call get_parms(ictxt,mtrx_file,rhs_file,filefmt,kmethd,ptype,& & ipart,afmt,istopc,itmax,itrace,irst,eps) call psb_barrier(ictxt) @@ -101,16 +103,35 @@ program sf_sample nrhs = 1 if (iam==psb_root_) then - call read_mat(mtrx_file, aux_a, ictxt) - + select case(psb_toupper(filefmt)) + case('MM') + ! For Matrix Market we have an input file for the matrix + ! and an (optional) second file for the RHS. + call mm_mat_read(aux_a,info,iunit=iunit,filename=mtrx_file) + if (info == 0) then + if (rhs_file /= 'NONE') then + call mm_vet_read(aux_b,info,iunit=iunit,filename=rhs_file) + end if + end if + + case ('HB') + ! For Harwell-Boeing we have a single file which may or may not + ! contain an RHS. + call hb_read(aux_a,info,iunit=iunit,b=aux_b,filename=mtrx_file) + + case default + info = -1 + write(0,*) 'Wrong choice for fileformat ', filefmt + end select + if (info /= 0) then + write(0,*) 'Error while reading input matrix ' + call psb_abort(ictxt) + end if + m_problem = aux_a%m call psb_bcast(ictxt,m_problem) - - if(rhs_file /= 'NONE') then - ! reading an rhs - call read_rhs(rhs_file,aux_b,info,ictxt) - end if - + + ! At this point aux_b may still be unallocated if (psb_size(aux_b,dim=1)==m_problem) then ! if any rhs were present, broadcast the first one write(0,'("Ok, got an rhs ")') diff --git a/test/fileread/zf_sample.f90 b/test/fileread/zf_sample.f90 index 8989def7..1eb106e1 100644 --- a/test/fileread/zf_sample.f90 +++ b/test/fileread/zf_sample.f90 @@ -64,6 +64,8 @@ program zf_sample character(len=5) :: afmt character(len=20) :: name + character(len=2) :: filefmt + integer, parameter :: iunit=12 integer :: iparm(20) ! other variables @@ -92,7 +94,7 @@ program zf_sample ! ! get parameters ! - call get_parms(ictxt,mtrx_file,rhs_file,kmethd,ptype,& + call get_parms(ictxt,mtrx_file,rhs_file,filefmt,kmethd,ptype,& & ipart,afmt,istopc,itmax,itrace,irst,eps) call psb_barrier(ictxt) @@ -101,16 +103,35 @@ program zf_sample nrhs = 1 if (iam==psb_root_) then - call read_mat(mtrx_file, aux_a, ictxt) - + select case(psb_toupper(filefmt)) + case('MM') + ! For Matrix Market we have an input file for the matrix + ! and an (optional) second file for the RHS. + call mm_mat_read(aux_a,info,iunit=iunit,filename=mtrx_file) + if (info == 0) then + if (rhs_file /= 'NONE') then + call mm_vet_read(aux_b,info,iunit=iunit,filename=rhs_file) + end if + end if + + case ('HB') + ! For Harwell-Boeing we have a single file which may or may not + ! contain an RHS. + call hb_read(aux_a,info,iunit=iunit,b=aux_b,filename=mtrx_file) + + case default + info = -1 + write(0,*) 'Wrong choice for fileformat ', filefmt + end select + if (info /= 0) then + write(0,*) 'Error while reading input matrix ' + call psb_abort(ictxt) + end if + m_problem = aux_a%m call psb_bcast(ictxt,m_problem) - - if(rhs_file /= 'NONE') then - ! reading an rhs - call read_rhs(rhs_file,aux_b,info,ictxt) - end if - + + ! At this point aux_b may still be unallocated if (psb_size(aux_b,dim=1)==m_problem) then ! if any rhs were present, broadcast the first one write(0,'("Ok, got an rhs ")') diff --git a/util/Makefile b/util/Makefile index a7dcd4db..fa300ea3 100644 --- a/util/Makefile +++ b/util/Makefile @@ -6,8 +6,7 @@ LIBDIR=../lib HERE=. BASEOBJS= psb_blockpart_mod.o psb_metispart_mod.o \ - psb_hbio_mod.o psb_mmio_mod.o psb_mat_dist_mod.o \ - psb_read_mat_mod.o + psb_hbio_mod.o psb_mmio_mod.o psb_mat_dist_mod.o MODOBJ=psb_util_mod.o OBJS=$(BASEOBJS) $(MODOBJ) LIBMOD=psb_util_mod$(.mod) diff --git a/util/psb_hbio_mod.f90 b/util/psb_hbio_mod.f90 index 95436097..f1c243ae 100644 --- a/util/psb_hbio_mod.f90 +++ b/util/psb_hbio_mod.f90 @@ -48,10 +48,11 @@ contains integer, intent(out) :: iret integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename - real(psb_spk_), optional, allocatable :: b(:), g(:), x(:) + real(psb_spk_), optional, allocatable, intent(out) :: b(:,:), g(:,:), x(:,:) character(len=72), optional, intent(out) :: mtitle character :: rhstype*3,type*3,key*8 + character(len=72) :: mtitle_ character indfmt*16,ptrfmt*16,rhsfmt*20,valfmt*20 integer :: indcrd, ptrcrd, totcrd,& & valcrd, rhscrd, nrow, ncol, nnzero, neltvl, nrhs, nrhsix @@ -81,7 +82,7 @@ contains endif endif - read (infile,fmt=fmt10) mtitle,key,totcrd,ptrcrd,indcrd,valcrd,rhscrd,& + read(infile,fmt=fmt10) mtitle_,key,totcrd,ptrcrd,indcrd,valcrd,rhscrd,& & type,nrow,ncol,nnzero,neltvl,ptrfmt,indfmt,valfmt,rhsfmt if (rhscrd > 0) read(infile,fmt=fmt11)rhstype,nrhs,nrhsix @@ -90,6 +91,7 @@ contains write(0,*) 'Memory allocation failed' goto 993 end if + if (present(mtitle)) mtitle=mtitle_ a%m = nrow a%k = ncol @@ -107,20 +109,20 @@ contains if (present(b)) then if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) + call psb_realloc(nrow,1,b,info) + read (infile,fmt=rhsfmt) (b(i,1),i=1,nrow) endif endif if (present(g)) then if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) + call psb_realloc(nrow,1,g,info) + read (infile,fmt=rhsfmt) (g(i,1),i=1,nrow) endif endif if (present(x)) then if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) + call psb_realloc(nrow,1,x,info) + read (infile,fmt=rhsfmt) (x(i,1),i=1,nrow) endif endif @@ -133,22 +135,23 @@ contains read (infile,fmt=indfmt) (a%ia1(i),i=1,nnzero) if (valcrd > 0) read (infile,fmt=valfmt) (a%aspk(i),i=1,nnzero) + if (present(b)) then if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) + call psb_realloc(nrow,1,b,info) + read (infile,fmt=rhsfmt) (b(i,1),i=1,nrow) endif endif if (present(g)) then if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) + call psb_realloc(nrow,1,g,info) + read (infile,fmt=rhsfmt) (g(i,1),i=1,nrow) endif endif if (present(x)) then if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) + call psb_realloc(nrow,1,x,info) + read (infile,fmt=rhsfmt) (x(i,1),i=1,nrow) endif endif @@ -187,10 +190,10 @@ contains write(0,*) 'read_matrix: could not open file ',filename,' for input' return 902 iret=902 - write(0,*) 'DHB_READ: Unexpected end of file ' + write(0,*) 'HB_READ: Unexpected end of file ' return 993 iret=993 - write(0,*) 'DHB_READ: Memory allocation failure' + write(0,*) 'HB_READ: Memory allocation failure' return end subroutine shb_read @@ -329,10 +332,11 @@ contains integer, intent(out) :: iret integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename - real(psb_dpk_), optional, allocatable :: b(:), g(:), x(:) + real(psb_dpk_), optional, allocatable, intent(out) :: b(:,:), g(:,:), x(:,:) character(len=72), optional, intent(out) :: mtitle character :: rhstype*3,type*3,key*8 + character(len=72) :: mtitle_ character indfmt*16,ptrfmt*16,rhsfmt*20,valfmt*20 integer :: indcrd, ptrcrd, totcrd,& & valcrd, rhscrd, nrow, ncol, nnzero, neltvl, nrhs, nrhsix @@ -362,7 +366,7 @@ contains endif endif - read (infile,fmt=fmt10) mtitle,key,totcrd,ptrcrd,indcrd,valcrd,rhscrd,& + read (infile,fmt=fmt10) mtitle_,key,totcrd,ptrcrd,indcrd,valcrd,rhscrd,& & type,nrow,ncol,nnzero,neltvl,ptrfmt,indfmt,valfmt,rhsfmt if (rhscrd > 0) read(infile,fmt=fmt11)rhstype,nrhs,nrhsix @@ -371,7 +375,7 @@ contains write(0,*) 'Memory allocation failed' goto 993 end if - + if (present(mtitle)) mtitle=mtitle_ a%m = nrow a%k = ncol a%fida = 'CSR' @@ -388,20 +392,20 @@ contains if (present(b)) then if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) + call psb_realloc(nrow,1,b,info) + read (infile,fmt=rhsfmt) (b(i,1),i=1,nrow) endif endif if (present(g)) then if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) + call psb_realloc(nrow,1,g,info) + read (infile,fmt=rhsfmt) (g(i,1),i=1,nrow) endif endif if (present(x)) then if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) + call psb_realloc(nrow,1,x,info) + read (infile,fmt=rhsfmt) (x(i,1),i=1,nrow) endif endif @@ -417,24 +421,23 @@ contains if (present(b)) then if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) + call psb_realloc(nrow,1,b,info) + read (infile,fmt=rhsfmt) (b(i,1),i=1,nrow) endif endif if (present(g)) then if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) + call psb_realloc(nrow,1,g,info) + read (infile,fmt=rhsfmt) (g(i,1),i=1,nrow) endif endif if (present(x)) then if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) + call psb_realloc(nrow,1,x,info) + read (infile,fmt=rhsfmt) (x(i,1),i=1,nrow) endif endif - call psb_spcnv(a,ircode,afmt='csr') if (ircode /= 0) goto 993 @@ -470,16 +473,13 @@ contains write(0,*) 'read_matrix: could not open file ',filename,' for input' return 902 iret=902 - write(0,*) 'DHB_READ: Unexpected end of file ' + write(0,*) 'HB_READ: Unexpected end of file ' return 993 iret=993 - write(0,*) 'DHB_READ: Memory allocation failure' + write(0,*) 'HB_READ: Memory allocation failure' return end subroutine dhb_read - - - subroutine dhb_write(a,iret,iunit,filename,key,rhs,g,x,mtitle) use psb_base_mod implicit none @@ -615,14 +615,15 @@ contains integer, intent(out) :: iret integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename - complex(psb_spk_), optional, allocatable :: b(:), g(:), x(:) + complex(psb_spk_), optional, allocatable, intent(out) :: b(:,:), g(:,:), x(:,:) character(len=72), optional, intent(out) :: mtitle character :: rhstype*3,type*3,key*8 + character(len=72) :: mtitle_ character indfmt*16,ptrfmt*16,rhsfmt*20,valfmt*20 integer :: indcrd, ptrcrd, totcrd,& & valcrd, rhscrd, nrow, ncol, nnzero, neltvl, nrhs, nrhsix - integer :: ircode, i,nzr,infile,info + integer :: ircode, i,nzr,infile, info character(len=*), parameter :: fmt10='(a72,a8,/,5i14,/,a3,11x,4i14,/,2a16,2a20)' character(len=*), parameter :: fmt11='(a3,11x,2i14)' character(len=*), parameter :: fmt111='(1x,a8,1x,i8,1x,a10)' @@ -648,25 +649,26 @@ contains endif endif - read (infile,fmt=fmt10) mtitle,key,totcrd,ptrcrd,indcrd,valcrd,rhscrd,& + read (infile,fmt=fmt10) mtitle_,key,totcrd,ptrcrd,indcrd,valcrd,rhscrd,& & type,nrow,ncol,nnzero,neltvl,ptrfmt,indfmt,valfmt,rhsfmt if (rhscrd > 0) read(infile,fmt=fmt11)rhstype,nrhs,nrhsix + call psb_sp_all(a,nnzero,nrow+1,nnzero,ircode) + if (ircode /= 0 ) then + write(0,*) 'Memory allocation failed' + goto 993 + end if + if (present(mtitle)) mtitle=mtitle_ - if (psb_tolower(type(1:1)) == 'c') then + a%m = nrow + a%k = ncol + a%fida = 'CSR' + a%descra='G' + + + if (psb_tolower(type(1:1)) == 'r') then if (psb_tolower(type(2:2)) == 'u') then - call psb_sp_all(a,nnzero,nrow+1,nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - - a%m = nrow - a%k = ncol - a%fida = 'CSR' - a%descra='G' read (infile,fmt=ptrfmt) (a%ia2(i),i=1,nrow+1) read (infile,fmt=indfmt) (a%ia1(i),i=1,nnzero) @@ -674,20 +676,20 @@ contains if (present(b)) then if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) + call psb_realloc(nrow,1,b,info) + read (infile,fmt=rhsfmt) (b(i,1),i=1,nrow) endif endif if (present(g)) then if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) + call psb_realloc(nrow,1,g,info) + read (infile,fmt=rhsfmt) (g(i,1),i=1,nrow) endif endif if (present(x)) then if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) + call psb_realloc(nrow,1,x,info) + read (infile,fmt=rhsfmt) (x(i,1),i=1,nrow) endif endif @@ -695,137 +697,48 @@ contains ! we are generally working with non-symmetric matrices, so ! we de-symmetrize what we are about to read - - call psb_sp_all(nrow,ncol,a,nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - a%fida = 'CSR' - a%descra='G' - read (infile,fmt=ptrfmt) (a%ia2(i),i=1,nrow+1) read (infile,fmt=indfmt) (a%ia1(i),i=1,nnzero) if (valcrd > 0) read (infile,fmt=valfmt) (a%aspk(i),i=1,nnzero) + if (present(b)) then if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) + call psb_realloc(nrow,1,b,info) + read (infile,fmt=rhsfmt) (b(i,1),i=1,nrow) endif endif if (present(g)) then if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) + call psb_realloc(nrow,1,g,info) + read (infile,fmt=rhsfmt) (g(i,1),i=1,nrow) endif endif if (present(x)) then if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) + call psb_realloc(nrow,1,x,info) + read (infile,fmt=rhsfmt) (x(i,1),i=1,nrow) endif endif - call psb_spcnv(a,ircode,afmt='coo') - if (ircode /= 0) then - write(0,*) 'ipcsr2coo ',ircode - goto 993 - end if - - call psb_sp_reall(a,2*nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - - ! A is now in COO format - nzr = nnzero - do i=1,nnzero - if (a%ia1(i) /= a%ia2(i)) then - nzr = nzr + 1 - a%aspk(nzr) = a%aspk(i) - a%ia1(nzr) = a%ia2(i) - a%ia2(nzr) = a%ia1(i) - end if - end do - a%infoa(psb_nnz_) = nzr call psb_spcnv(a,ircode,afmt='csr') - if (ircode /= 0) then - write(0,*) 'ipcoo2csr ',ircode - goto 993 - end if - - else if (psb_tolower(type(2:2)) == 'h') then - - ! we are generally working with non-symmetric matrices, so - ! we de-symmetrize what we are about to read - - - call psb_sp_all(nrow,ncol,a,2*nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - a%fida = 'CSR' - a%descra='G' - - - read (infile,fmt=ptrfmt) (a%ia2(i),i=1,nrow+1) - read (infile,fmt=indfmt) (a%ia1(i),i=1,nnzero) - if (valcrd > 0) read (infile,fmt=valfmt) (a%aspk(i),i=1,nnzero) + if (ircode /= 0) goto 993 - if (present(b)) then - if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) - endif - endif - if (present(g)) then - if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) - endif - endif - if (present(x)) then - if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) - endif - endif - - call psb_spcnv(a,ircode,afmt='coo') - if (ircode /= 0) then - write(0,*) 'ipcsr2coo ',ircode - goto 993 - end if call psb_sp_reall(a,2*nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - ! A is now in COO format nzr = nnzero do i=1,nnzero if (a%ia1(i) /= a%ia2(i)) then nzr = nzr + 1 - a%aspk(nzr) = conjg(a%aspk(i)) + a%aspk(nzr) = a%aspk(i) a%ia1(nzr) = a%ia2(i) a%ia2(nzr) = a%ia1(i) end if end do a%infoa(psb_nnz_) = nzr call psb_spcnv(a,ircode,afmt='csr') - if (ircode /= 0) then - write(0,*) 'ipcoo2csr ',ircode - goto 993 - end if + if (ircode /= 0) goto 993 else write(0,*) 'read_matrix: matrix type not yet supported' @@ -844,16 +757,14 @@ contains write(0,*) 'read_matrix: could not open file ',filename,' for input' return 902 iret=902 - write(0,*) 'ZHB_READ: Unexpected end of file ' + write(0,*) 'HB_READ: Unexpected end of file ' return 993 iret=993 - write(0,*) 'ZHB_READ: Memory allocation failure' + write(0,*) 'HB_READ: Memory allocation failure' return end subroutine chb_read - - subroutine chb_write(a,iret,iunit,filename,key,rhs,g,x,mtitle) use psb_base_mod implicit none @@ -985,14 +896,15 @@ contains integer, intent(out) :: iret integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename - complex(psb_dpk_), optional, allocatable :: b(:), g(:), x(:) + complex(psb_dpk_), optional, allocatable, intent(out) :: b(:,:), g(:,:), x(:,:) character(len=72), optional, intent(out) :: mtitle character :: rhstype*3,type*3,key*8 + character(len=72) :: mtitle_ character indfmt*16,ptrfmt*16,rhsfmt*20,valfmt*20 integer :: indcrd, ptrcrd, totcrd,& & valcrd, rhscrd, nrow, ncol, nnzero, neltvl, nrhs, nrhsix - integer :: ircode, i,nzr,infile,info + integer :: ircode, i,nzr,infile, info character(len=*), parameter :: fmt10='(a72,a8,/,5i14,/,a3,11x,4i14,/,2a16,2a20)' character(len=*), parameter :: fmt11='(a3,11x,2i14)' character(len=*), parameter :: fmt111='(1x,a8,1x,i8,1x,a10)' @@ -1018,25 +930,26 @@ contains endif endif - read (infile,fmt=fmt10) mtitle,key,totcrd,ptrcrd,indcrd,valcrd,rhscrd,& + read (infile,fmt=fmt10) mtitle_,key,totcrd,ptrcrd,indcrd,valcrd,rhscrd,& & type,nrow,ncol,nnzero,neltvl,ptrfmt,indfmt,valfmt,rhsfmt if (rhscrd > 0) read(infile,fmt=fmt11)rhstype,nrhs,nrhsix + call psb_sp_all(a,nnzero,nrow+1,nnzero,ircode) + if (ircode /= 0 ) then + write(0,*) 'Memory allocation failed' + goto 993 + end if + if (present(mtitle)) mtitle=mtitle_ + + a%m = nrow + a%k = ncol + a%fida = 'CSR' + a%descra='G' - if (psb_tolower(type(1:1)) == 'c') then + + if (psb_tolower(type(1:1)) == 'r') then if (psb_tolower(type(2:2)) == 'u') then - call psb_sp_all(a,nnzero,nrow+1,nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - - a%m = nrow - a%k = ncol - a%fida = 'CSR' - a%descra='G' read (infile,fmt=ptrfmt) (a%ia2(i),i=1,nrow+1) read (infile,fmt=indfmt) (a%ia1(i),i=1,nnzero) @@ -1044,20 +957,20 @@ contains if (present(b)) then if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) + call psb_realloc(nrow,1,b,info) + read (infile,fmt=rhsfmt) (b(i,1),i=1,nrow) endif endif if (present(g)) then if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) + call psb_realloc(nrow,1,g,info) + read (infile,fmt=rhsfmt) (g(i,1),i=1,nrow) endif endif if (present(x)) then if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) + call psb_realloc(nrow,1,x,info) + read (infile,fmt=rhsfmt) (x(i,1),i=1,nrow) endif endif @@ -1065,136 +978,48 @@ contains ! we are generally working with non-symmetric matrices, so ! we de-symmetrize what we are about to read - - call psb_sp_all(nrow,ncol,a,nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - a%fida = 'CSR' - a%descra='G' - read (infile,fmt=ptrfmt) (a%ia2(i),i=1,nrow+1) read (infile,fmt=indfmt) (a%ia1(i),i=1,nnzero) if (valcrd > 0) read (infile,fmt=valfmt) (a%aspk(i),i=1,nnzero) + if (present(b)) then if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) + call psb_realloc(nrow,1,b,info) + read (infile,fmt=rhsfmt) (b(i,1),i=1,nrow) endif endif if (present(g)) then if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) + call psb_realloc(nrow,1,g,info) + read (infile,fmt=rhsfmt) (g(i,1),i=1,nrow) endif endif if (present(x)) then if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) + call psb_realloc(nrow,1,x,info) + read (infile,fmt=rhsfmt) (x(i,1),i=1,nrow) endif endif - call psb_spcnv(a,ircode,afmt='coo') - if (ircode /= 0) then - write(0,*) 'ipcsr2coo ',ircode - goto 993 - end if - - call psb_sp_reall(a,2*nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - - ! A is now in COO format - nzr = nnzero - do i=1,nnzero - if (a%ia1(i) /= a%ia2(i)) then - nzr = nzr + 1 - a%aspk(nzr) = a%aspk(i) - a%ia1(nzr) = a%ia2(i) - a%ia2(nzr) = a%ia1(i) - end if - end do - a%infoa(psb_nnz_) = nzr call psb_spcnv(a,ircode,afmt='csr') - if (ircode /= 0) then - write(0,*) 'ipcoo2csr ',ircode - goto 993 - end if - - else if (psb_tolower(type(2:2)) == 'h') then - - ! we are generally working with non-symmetric matrices, so - ! we de-symmetrize what we are about to read - - - call psb_sp_all(nrow,ncol,a,2*nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - a%fida = 'CSR' - a%descra='G' - - - read (infile,fmt=ptrfmt) (a%ia2(i),i=1,nrow+1) - read (infile,fmt=indfmt) (a%ia1(i),i=1,nnzero) - if (valcrd > 0) read (infile,fmt=valfmt) (a%aspk(i),i=1,nnzero) + if (ircode /= 0) goto 993 - if (present(b)) then - if ((psb_toupper(rhstype(1:1)) == 'F').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,b,info) - read (infile,fmt=rhsfmt) (b(i),i=1,nrow) - endif - endif - if (present(g)) then - if ((psb_toupper(rhstype(2:2)) == 'G').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,g,info) - read (infile,fmt=rhsfmt) (g(i),i=1,nrow) - endif - endif - if (present(x)) then - if ((psb_toupper(rhstype(3:3)) == 'X').and.(rhscrd > 0)) then - call psb_ensure_size(nrow,x,info) - read (infile,fmt=rhsfmt) (x(i),i=1,nrow) - endif - endif - call psb_spcnv(a,ircode,afmt='coo') - if (ircode /= 0) then - write(0,*) 'ipcsr2coo ',ircode - goto 993 - end if call psb_sp_reall(a,2*nnzero,ircode) - - if (ircode /= 0 ) then - write(0,*) 'Memory allocation failed' - goto 993 - end if - ! A is now in COO format nzr = nnzero do i=1,nnzero if (a%ia1(i) /= a%ia2(i)) then nzr = nzr + 1 - a%aspk(nzr) = conjg(a%aspk(i)) + a%aspk(nzr) = a%aspk(i) a%ia1(nzr) = a%ia2(i) a%ia2(nzr) = a%ia1(i) end if end do a%infoa(psb_nnz_) = nzr call psb_spcnv(a,ircode,afmt='csr') - if (ircode /= 0) then - write(0,*) 'ipcoo2csr ',ircode - goto 993 - end if + if (ircode /= 0) goto 993 else write(0,*) 'read_matrix: matrix type not yet supported' @@ -1213,16 +1038,14 @@ contains write(0,*) 'read_matrix: could not open file ',filename,' for input' return 902 iret=902 - write(0,*) 'ZHB_READ: Unexpected end of file ' + write(0,*) 'HB_READ: Unexpected end of file ' return 993 iret=993 - write(0,*) 'ZHB_READ: Memory allocation failure' + write(0,*) 'HB_READ: Memory allocation failure' return end subroutine zhb_read - - subroutine zhb_write(a,iret,iunit,filename,key,rhs,g,x,mtitle) use psb_base_mod implicit none diff --git a/util/psb_mmio_mod.f90 b/util/psb_mmio_mod.f90 index 8ec70db9..2b0adbd4 100644 --- a/util/psb_mmio_mod.f90 +++ b/util/psb_mmio_mod.f90 @@ -44,19 +44,37 @@ module psb_mmio_mod contains - subroutine mm_svet_read(filename, b, info) + subroutine mm_svet_read(b, info, iunit, filename) use psb_base_mod implicit none - character :: filename*(*) real(psb_spk_), allocatable, intent(out) :: b(:,:) - integer, intent(out) :: info - integer, parameter :: infile = 2 - integer :: nrow, ncol, i,root, np, me, ircode, j + integer, intent(out) :: info + integer, optional, intent(in) :: iunit + character(len=*), optional, intent(in) :: filename + integer :: nrow, ncol, i,root, np, me, ircode, j,infile character :: mmheader*15, fmt*15, object*10, type*10, sym*15,& & line*1024 info = 0 - open(infile,file=filename, status='old', err=901, action="read") + if (present(filename)) then + if (filename=='-') then + infile=5 + else + if (present(iunit)) then + infile=iunit + else + infile=99 + endif + open(infile,file=filename, status='OLD', err=901, action='READ') + endif + else + if (present(iunit)) then + infile=iunit + else + infile=5 + endif + endif + read(infile,fmt=*, end=902) mmheader, object, fmt, type, sym if ( (object /= 'matrix').or.(fmt /= 'array')) then @@ -79,6 +97,8 @@ contains end if ! read right hand sides + if (infile/=5) close(infile) + return ! open failed 901 write(0,*) 'mm_vet_read: could not open file ',& @@ -96,19 +116,37 @@ contains end subroutine mm_svet_read - subroutine mm_dvet_read(filename, b, info) + subroutine mm_dvet_read(b, info, iunit, filename) use psb_base_mod implicit none - character :: filename*(*) real(psb_dpk_), allocatable, intent(out) :: b(:,:) - integer, intent(out) :: info - integer, parameter :: infile = 2 - integer :: nrow, ncol, i,root, np, me, ircode, j + integer, intent(out) :: info + integer, optional, intent(in) :: iunit + character(len=*), optional, intent(in) :: filename + integer :: nrow, ncol, i,root, np, me, ircode, j, infile character :: mmheader*15, fmt*15, object*10, type*10, sym*15,& & line*1024 info = 0 - open(infile,file=filename, status='old', err=901, action="read") + if (present(filename)) then + if (filename=='-') then + infile=5 + else + if (present(iunit)) then + infile=iunit + else + infile=99 + endif + open(infile,file=filename, status='OLD', err=901, action='READ') + endif + else + if (present(iunit)) then + infile=iunit + else + infile=5 + endif + endif + read(infile,fmt=*, end=902) mmheader, object, fmt, type, sym if ( (object /= 'matrix').or.(fmt /= 'array')) then @@ -130,6 +168,7 @@ contains read(infile,fmt=*,end=902) ((b(i,j), i=1,nrow),j=1,ncol) end if ! read right hand sides + if (infile/=5) close(infile) return ! open failed @@ -148,20 +187,38 @@ contains end subroutine mm_dvet_read - subroutine mm_cvet_read(filename, b, info) + subroutine mm_cvet_read(b, info, iunit, filename) use psb_base_mod implicit none - character :: filename*(*) complex(psb_spk_), allocatable, intent(out) :: b(:,:) - integer, intent(out) :: info - integer, parameter :: infile = 2 - integer :: nrow, ncol, i,root, np, me, ircode, j + integer, intent(out) :: info + integer, optional, intent(in) :: iunit + character(len=*), optional, intent(in) :: filename + integer :: nrow, ncol, i,root, np, me, ircode, j,infile real(psb_spk_) :: bre, bim character :: mmheader*15, fmt*15, object*10, type*10, sym*15,& & line*1024 info = 0 - open(infile,file=filename, status='old', err=901, action="read") + if (present(filename)) then + if (filename=='-') then + infile=5 + else + if (present(iunit)) then + infile=iunit + else + infile=99 + endif + open(infile,file=filename, status='OLD', err=901, action='READ') + endif + else + if (present(iunit)) then + infile=iunit + else + infile=5 + endif + endif + read(infile,fmt=*, end=902) mmheader, object, fmt, type, sym if ( (object /= 'matrix').or.(fmt /= 'array')) then @@ -188,6 +245,7 @@ contains end do end if ! read right hand sides + if (infile/=5) close(infile) return ! open failed @@ -206,20 +264,38 @@ contains end subroutine mm_cvet_read - subroutine mm_zvet_read(filename, b, info) + subroutine mm_zvet_read(b, info, iunit, filename) use psb_base_mod implicit none - character :: filename*(*) complex(psb_dpk_), allocatable, intent(out) :: b(:,:) - integer, intent(out) :: info - integer, parameter :: infile = 2 - integer :: nrow, ncol, i,root, np, me, ircode, j + integer, intent(out) :: info + integer, optional, intent(in) :: iunit + character(len=*), optional, intent(in) :: filename + integer :: nrow, ncol, i,root, np, me, ircode, j,infile real(psb_dpk_) :: bre, bim character :: mmheader*15, fmt*15, object*10, type*10, sym*15,& & line*1024 info = 0 - open(infile,file=filename, status='old', err=901, action="read") + if (present(filename)) then + if (filename=='-') then + infile=5 + else + if (present(iunit)) then + infile=iunit + else + infile=99 + endif + open(infile,file=filename, status='OLD', err=901, action='READ') + endif + else + if (present(iunit)) then + infile=iunit + else + infile=5 + endif + endif + read(infile,fmt=*, end=902) mmheader, object, fmt, type, sym if ( (object /= 'matrix').or.(fmt /= 'array')) then @@ -246,6 +322,7 @@ contains end do end if ! read right hand sides + if (infile/=5) close(infile) return ! open failed @@ -265,11 +342,11 @@ contains - subroutine smm_mat_read(a, iret, iunit, filename) + subroutine smm_mat_read(a, info, iunit, filename) use psb_base_mod implicit none type(psb_sspmat_type), intent(out) :: a - integer, intent(out) :: iret + integer, intent(out) :: info integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename character :: mmheader*15, fmt*15, object*10, type*10, sym*15 @@ -277,7 +354,7 @@ contains integer :: nrow, ncol, nnzero integer :: ircode, i,nzr,infile - iret = 0 + info = 0 if (present(filename)) then if (filename=='-') then @@ -302,7 +379,7 @@ contains if ( (psb_tolower(object) /= 'matrix').or.(psb_tolower(fmt)/='coordinate')) then write(0,*) 'READ_MATRIX: input file type not yet supported' - iret=909 + info=909 return end if @@ -348,36 +425,36 @@ contains else write(0,*) 'read_matrix: matrix type not yet supported' - iret=904 + info=904 end if if (infile/=5) close(infile) return ! open failed -901 iret=901 +901 info=901 write(0,*) 'read_matrix: could not open file ',filename,' for input' return -902 iret=902 +902 info=902 write(0,*) 'READ_MATRIX: Unexpected end of file ' return -993 iret=993 +993 info=993 write(0,*) 'READ_MATRIX: Memory allocation failure' return end subroutine smm_mat_read - subroutine smm_mat_write(a,mtitle,iret,iunit,filename) + subroutine smm_mat_write(a,mtitle,info,iunit,filename) use psb_base_mod implicit none type(psb_sspmat_type), intent(in) :: a - integer, intent(out) :: iret + integer, intent(out) :: info character(len=*), intent(in) :: mtitle integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename integer :: iout - iret = 0 + info = 0 if (present(filename)) then if (filename=='-') then @@ -406,16 +483,16 @@ contains return 901 continue - iret=901 + info=901 write(0,*) 'Error while opening ',filename return end subroutine smm_mat_write - subroutine dmm_mat_read(a, iret, iunit, filename) + subroutine dmm_mat_read(a, info, iunit, filename) use psb_base_mod implicit none type(psb_dspmat_type), intent(out) :: a - integer, intent(out) :: iret + integer, intent(out) :: info integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename character :: mmheader*15, fmt*15, object*10, type*10, sym*15 @@ -423,7 +500,7 @@ contains integer :: nrow, ncol, nnzero integer :: ircode, i,nzr,infile - iret = 0 + info = 0 if (present(filename)) then if (filename=='-') then @@ -448,7 +525,7 @@ contains if ( (psb_tolower(object) /= 'matrix').or.(psb_tolower(fmt)/='coordinate')) then write(0,*) 'READ_MATRIX: input file type not yet supported' - iret=909 + info=909 return end if @@ -494,36 +571,36 @@ contains else write(0,*) 'read_matrix: matrix type not yet supported' - iret=904 + info=904 end if if (infile/=5) close(infile) return ! open failed -901 iret=901 +901 info=901 write(0,*) 'read_matrix: could not open file ',filename,' for input' return -902 iret=902 +902 info=902 write(0,*) 'READ_MATRIX: Unexpected end of file ' return -993 iret=993 +993 info=993 write(0,*) 'READ_MATRIX: Memory allocation failure' return end subroutine dmm_mat_read - subroutine dmm_mat_write(a,mtitle,iret,iunit,filename) + subroutine dmm_mat_write(a,mtitle,info,iunit,filename) use psb_base_mod implicit none type(psb_dspmat_type), intent(in) :: a - integer, intent(out) :: iret + integer, intent(out) :: info character(len=*), intent(in) :: mtitle integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename integer :: iout - iret = 0 + info = 0 if (present(filename)) then if (filename=='-') then @@ -552,16 +629,16 @@ contains return 901 continue - iret=901 + info=901 write(0,*) 'Error while opening ',filename return end subroutine dmm_mat_write - subroutine cmm_mat_read(a, iret, iunit, filename) + subroutine cmm_mat_read(a, info, iunit, filename) use psb_base_mod implicit none type(psb_cspmat_type), intent(out) :: a - integer, intent(out) :: iret + integer, intent(out) :: info integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename character :: mmheader*15, fmt*15, object*10, type*10, sym*15 @@ -570,7 +647,7 @@ contains integer :: ircode, i,nzr,infile real(psb_spk_) :: are, aim - iret = 0 + info = 0 if (present(filename)) then if (filename=='-') then @@ -595,7 +672,7 @@ contains if ( (psb_tolower(object) /= 'matrix').or.(psb_tolower(fmt)/='coordinate')) then write(0,*) 'READ_MATRIX: input file type not yet supported' - iret=909 + info=909 return end if @@ -668,37 +745,37 @@ contains else write(0,*) 'read_matrix: matrix type not yet supported' - iret=904 + info=904 end if if (infile/=5) close(infile) return ! open failed -901 iret=901 +901 info=901 write(0,*) 'read_matrix: could not open file ',filename,' for input' return -902 iret=902 +902 info=902 write(0,*) 'READ_MATRIX: Unexpected end of file ' return -993 iret=993 +993 info=993 write(0,*) 'READ_MATRIX: Memory allocation failure' return end subroutine cmm_mat_read - subroutine cmm_mat_write(a,mtitle,iret,iunit,filename) + subroutine cmm_mat_write(a,mtitle,info,iunit,filename) use psb_base_mod implicit none type(psb_cspmat_type), intent(in) :: a - integer, intent(out) :: iret + integer, intent(out) :: info character(len=*), intent(in) :: mtitle integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename integer :: iout - iret = 0 + info = 0 if (present(filename)) then if (filename=='-') then @@ -727,16 +804,16 @@ contains return 901 continue - iret=901 + info=901 write(0,*) 'Error while opening ',filename return end subroutine cmm_mat_write - subroutine zmm_mat_read(a, iret, iunit, filename) + subroutine zmm_mat_read(a, info, iunit, filename) use psb_base_mod implicit none type(psb_zspmat_type), intent(out) :: a - integer, intent(out) :: iret + integer, intent(out) :: info integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename character :: mmheader*15, fmt*15, object*10, type*10, sym*15 @@ -745,7 +822,7 @@ contains integer :: ircode, i,nzr,infile real(psb_dpk_) :: are, aim - iret = 0 + info = 0 if (present(filename)) then if (filename=='-') then @@ -770,7 +847,7 @@ contains if ( (psb_tolower(object) /= 'matrix').or.(psb_tolower(fmt)/='coordinate')) then write(0,*) 'READ_MATRIX: input file type not yet supported' - iret=909 + info=909 return end if @@ -843,37 +920,37 @@ contains else write(0,*) 'read_matrix: matrix type not yet supported' - iret=904 + info=904 end if if (infile/=5) close(infile) return ! open failed -901 iret=901 +901 info=901 write(0,*) 'read_matrix: could not open file ',filename,' for input' return -902 iret=902 +902 info=902 write(0,*) 'READ_MATRIX: Unexpected end of file ' return -993 iret=993 +993 info=993 write(0,*) 'READ_MATRIX: Memory allocation failure' return end subroutine zmm_mat_read - subroutine zmm_mat_write(a,mtitle,iret,iunit,filename) + subroutine zmm_mat_write(a,mtitle,info,iunit,filename) use psb_base_mod implicit none type(psb_zspmat_type), intent(in) :: a - integer, intent(out) :: iret + integer, intent(out) :: info character(len=*), intent(in) :: mtitle integer, optional, intent(in) :: iunit character(len=*), optional, intent(in) :: filename integer :: iout - iret = 0 + info = 0 if (present(filename)) then if (filename=='-') then @@ -902,7 +979,7 @@ contains return 901 continue - iret=901 + info=901 write(0,*) 'Error while opening ',filename return end subroutine zmm_mat_write diff --git a/util/psb_read_mat_mod.f90 b/util/psb_read_mat_mod.f90 deleted file mode 100644 index b128673b..00000000 --- a/util/psb_read_mat_mod.f90 +++ /dev/null @@ -1,322 +0,0 @@ -!!$ -!!$ Parallel Sparse BLAS version 2.2 -!!$ (C) Copyright 2006/2007/2008 -!!$ Salvatore Filippone University of Rome Tor Vergata -!!$ Alfredo Buttari University of Rome Tor Vergata -!!$ -!!$ Redistribution and use in source and binary forms, with or without -!!$ modification, are permitted provided that the following conditions -!!$ are met: -!!$ 1. Redistributions of source code must retain the above copyright -!!$ notice, this list of conditions and the following disclaimer. -!!$ 2. Redistributions in binary form must reproduce the above copyright -!!$ notice, this list of conditions, and the following disclaimer in the -!!$ documentation and/or other materials provided with the distribution. -!!$ 3. The name of the PSBLAS group or the names of its contributors may -!!$ not be used to endorse or promote products derived from this -!!$ software without specific written permission. -!!$ -!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED -!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR -!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS -!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR -!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF -!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN -!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) -!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -!!$ POSSIBILITY OF SUCH DAMAGE. -!!$ -!!$ -! -! READ_MAT subroutine reads a matrix and its right hand sides, -! all stored in Matrix Market format file. The B field is optional,. -! -! Character :: filename*20 -! On Entry: name of file to be processed. -! On Exit : unchanged. -! -! Type(D_SPMAT) :: A -! On Entry: fresh variable. -! On Exit : will contain the global sparse matrix as follows: -! A%AS for coefficient values -! A%IA1 for column indices -! A%IA2 for row pointers -! A%M for number of global matrix rows -! A%K for number of global matrix columns -! -! Integer :: ICTXT -! On Entry: BLACS context. -! On Exit : unchanged. -! -! Real(psb_dpk_), Pointer, Optional :: B(:,:) -! On Entry: fresh variable. -! On Exit: will contain right hand side(s). -! -! Integer, Optional :: inroot -! On Entry: Index of root processor (default: 0) -! On Exit : unchanged. -! -module psb_read_mat_mod - interface read_mat - module procedure sreadmat, dreadmat, creadmat, zreadmat - end interface - interface read_rhs - module procedure sread_rhs, cread_rhs, dread_rhs, zread_rhs - end interface - - -contains - - subroutine sreadmat (filename, a, ictxt, inroot) - use psb_base_mod - use psb_mmio_mod - implicit none - integer :: ictxt - type(psb_sspmat_type) :: a - character(len=*) :: filename - integer, optional :: inroot - integer, parameter :: infile = 2 - integer :: info, root, np, me - - if (present(inroot)) then - root = inroot - else - root = psb_root_ - end if - call psb_info(ictxt, me, np) - if (me == root) then - write(*, '("Reading matrix...")') ! open input file - call mm_mat_read(a,info,infile,filename) - if (info /= 0) then - write(0,*) 'Error return from MM_MAT_READ ',info - call psb_abort(ictxt) ! Unexpected End of File - endif - end if - return - - end subroutine sreadmat - - - subroutine sread_rhs (filename, b, info,ictxt, inroot) - use psb_base_mod - use psb_mmio_mod - implicit none - integer :: ictxt - character :: filename*(*) - real(psb_spk_), allocatable, intent(out) :: b(:,:) - integer, intent(out) :: info - integer, optional :: inroot - integer, parameter :: infile = 2 - integer :: nrow, ncol, i,root, np, me, ircode, j - - if (present(inroot)) then - root = inroot - else - root = psb_root_ - end if - info = 0 - call psb_info(ictxt, me, np) - if (me == root) then - write(*, '("Reading rhs...")') ! open input file - call mm_vet_read(filename,b,info) - if (info /= 0) then - write(0,*) 'read_rhs: something went wrong.' - return - end if ! read right hand sides - write(*,*) 'end read_rhs' - end if - return - - end subroutine sread_rhs - - - subroutine dreadmat (filename, a, ictxt, inroot) - use psb_base_mod - use psb_mmio_mod - implicit none - integer :: ictxt - type(psb_dspmat_type) :: a - character(len=*) :: filename - integer, optional :: inroot - integer, parameter :: infile = 2 - integer :: info, root, np, me - - if (present(inroot)) then - root = inroot - else - root = psb_root_ - end if - call psb_info(ictxt, me, np) - if (me == root) then - write(*, '("Reading matrix...")') ! open input file - call mm_mat_read(a,info,infile,filename) - if (info /= 0) then - write(0,*) 'Error return from MM_MAT_READ ',info - call psb_abort(ictxt) ! Unexpected End of File - endif - end if - return - - end subroutine dreadmat - - - subroutine dread_rhs (filename, b, info,ictxt, inroot) - use psb_base_mod - use psb_mmio_mod - implicit none - integer :: ictxt - character :: filename*(*) - real(psb_dpk_), allocatable, intent(out) :: b(:,:) - integer, intent(out) :: info - integer, optional :: inroot - integer, parameter :: infile = 2 - integer :: nrow, ncol, i,root, np, me, ircode, j - - if (present(inroot)) then - root = inroot - else - root = psb_root_ - end if - info = 0 - call psb_info(ictxt, me, np) - if (me == root) then - write(*, '("Reading rhs...")') ! open input file - call mm_vet_read(filename,b,info) - if (info /= 0) then - write(0,*) 'read_rhs: something went wrong.' - return - end if ! read right hand sides - write(*,*) 'end read_rhs' - end if - return - - end subroutine dread_rhs - - subroutine creadmat (filename, a, ictxt, inroot) - use psb_base_mod - use psb_mmio_mod - implicit none - integer :: ictxt - type(psb_cspmat_type) :: a - character(len=*) :: filename - integer, optional :: inroot - integer, parameter :: infile = 2 - integer :: info, root, np, me - - if (present(inroot)) then - root = inroot - else - root = psb_root_ - end if - call psb_info(ictxt, me, np) - if (me == root) then - write(*, '("Reading matrix...")') ! open input file - call mm_mat_read(a,info,infile,filename) - if (info /= 0) then - write(0,*) 'Error return from MM_MAT_READ ',info - call psb_abort(ictxt) ! Unexpected End of File - endif - end if - return - - end subroutine creadmat - - - subroutine cread_rhs (filename, b, info,ictxt, inroot) - use psb_base_mod - use psb_mmio_mod - implicit none - integer :: ictxt - character :: filename*(*) - complex(psb_spk_), allocatable, intent(out) :: b(:,:) - integer, intent(out) :: info - integer, optional :: inroot - integer, parameter :: infile = 2 - integer :: nrow, ncol, i,root, np, me, ircode, j - - if (present(inroot)) then - root = inroot - else - root = psb_root_ - end if - info = 0 - call psb_info(ictxt, me, np) - if (me == root) then - write(*, '("Reading rhs...")') ! open input file - call mm_vet_read(filename,b,info) - if (info /= 0) then - write(0,*) 'read_rhs: something went wrong.' - return - end if ! read right hand sides - write(*,*) 'end read_rhs' - end if - return - - end subroutine cread_rhs - - - subroutine zreadmat (filename, a, ictxt, inroot) - use psb_base_mod - use psb_mmio_mod - implicit none - integer :: ictxt - type(psb_zspmat_type) :: a - character(len=*) :: filename - integer, optional :: inroot - integer, parameter :: infile = 2 - integer :: info, root, np, me - - if (present(inroot)) then - root = inroot - else - root = psb_root_ - end if - call psb_info(ictxt, me, np) - if (me == root) then - write(*, '("Reading matrix...")') ! open input file - call mm_mat_read(a,info,infile,filename) - if (info /= 0) then - write(0,*) 'Error return from MM_MAT_READ ',info - call psb_abort(ictxt) ! Unexpected End of File - endif - end if - return - - end subroutine zreadmat - - - subroutine zread_rhs (filename, b, info,ictxt, inroot) - use psb_base_mod - use psb_mmio_mod - implicit none - integer :: ictxt - character :: filename*(*) - complex(psb_dpk_), allocatable, intent(out) :: b(:,:) - integer, intent(out) :: info - integer, optional :: inroot - integer, parameter :: infile = 2 - integer :: nrow, ncol, i,root, np, me, ircode, j - - if (present(inroot)) then - root = inroot - else - root = psb_root_ - end if - info = 0 - call psb_info(ictxt, me, np) - if (me == root) then - write(*, '("Reading rhs...")') ! open input file - call mm_vet_read(filename,b,info) - if (info /= 0) then - write(0,*) 'read_rhs: something went wrong.' - return - end if ! read right hand sides - write(*,*) 'end read_rhs' - end if - return - - end subroutine zread_rhs - -end module psb_read_mat_mod diff --git a/util/psb_util_mod.f90 b/util/psb_util_mod.f90 index 502f78e2..1ddd008c 100644 --- a/util/psb_util_mod.f90 +++ b/util/psb_util_mod.f90 @@ -36,7 +36,6 @@ module psb_util_mod use psb_metispart_mod use psb_hbio_mod use psb_mmio_mod - use psb_read_mat_mod use psb_mat_dist_mod end module psb_util_mod