(no subject)
Marc Snir (snir@watson.ibm.com)
Sun, 4 Aug 1996 21:59:42 -0400
%!PS-Adobe-2.0
%%Creator: dvips 5.47 (RS/6000 1.0) Copyright 1986-91 Radical Eye Software
%%Title: temp.dvi
%%Pages: 25 1
%%BoundingBox: 0 0 612 792
%%EndComments
%%BeginProcSet: tex.pro
/TeXDict 250 dict def TeXDict begin /N /def load def /B{bind def}N /S /exch
load def /X{S N}B /TR /translate load N /isls false N /vsize 10 N /@rigin{
isls{[0 1 -1 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale
Resolution VResolution vsize neg mul TR matrix currentmatrix dup dup 4 get
round 4 exch put dup dup 5 get round 5 exch put setmatrix}N /@letter{/vsize 10
N}B /@landscape{/isls true N /vsize -1 N}B /@a4{/vsize 10.6929133858 N}B /@a3{
/vsize 15.5531 N}B /@ledger{/vsize 16 N}B /@legal{/vsize 13 N}B /@manualfeed{
statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N
/FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{/nn 8 dict N nn begin
/FontType 3 N /FontMatrix fntrx N /FontBBox FBB N string /base X array
/BitMaps X /BuildChar{CharBuilder} N /Encoding IE N end dup{/foo setfont}2
array copy cvx N load 0 nn put /ctr 0 N[}B /df{/sf 1 N /fntrx FMat N df-tail}
B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0]N df-tail}B /E{pop nn dup definefont
setfont}B /ch-width{ch-data dup length 5 sub get} B /ch-height{ch-data dup
length 4 sub get} B /ch-xoff{128 ch-data dup length 3 sub get sub} B /ch-yoff{
ch-data dup length 2 sub get 127 sub} B /ch-dx{ch-data dup length 1 sub get} B
/ch-image{ch-data dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0
N /rw 0 N /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S
dup /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx 0
ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff setcachedevice
ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff .1 add]{ch-image}
imagemask restore}B /D{/cc X dup type /stringtype ne{]}if nn /base get cc ctr
put nn /BitMaps get S ctr S sf 1 ne{dup dup length 1 sub dup 2 index S get sf
div put}if put /ctr ctr 1 add N}B /I{cc 1 add D}B /bop{userdict /bop-hook
known{bop-hook}if /SI save N @rigin 0 0 moveto}N /eop{clear SI restore
showpage userdict /eop-hook known{eop-hook}if}N /@start{userdict /start-hook
known{start-hook}if /VResolution X /Resolution X 1000 div /DVImag X /IE 256
array N 0 1 255{IE S 1 string dup 0 3 index put cvn put} for}N /p /show load N
/RMat[1 0 0 -1 0 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X
/rulex X V}B /V statusdict begin /product where{pop product dup length 7 ge{0
7 getinterval(Display)eq}{pop false}ifelse}{false}ifelse end{{gsave TR -.1 -.1
TR 1 1 scale rulex ruley false RMat{BDot}imagemask grestore}}{{gsave TR -.1
-.1 TR rulex ruley scale 1 1 false RMat{BDot}imagemask grestore}}ifelse B /a{
moveto}B /delta 0 N /tail{dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{
S p tail}B /c{-4 M}B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B
/j{3 M}B /k{4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w
}B /q{p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{3 2 roll p
a}B /bos{/SS save N}B /eos{clear SS restore}B end
%%EndProcSet
%%BeginProcSet: special.pro
TeXDict begin /SDict 200 dict N SDict begin /@SpecialDefaults{/hs 612 N /vs
792 N /ho 0 N /vo 0 N /hsc 1 N /vsc 1 N /ang 0 N /CLIP false N /BBcalc false N
/p 3 def}B /@scaleunit 100 N /@hscale{@scaleunit div /hsc X}B /@vscale{
@scaleunit div /vsc X}B /@hsize{/hs X /CLIP true N}B /@vsize{/vs X /CLIP true
N}B /@hoffset{/ho X}B /@voffset{/vo X}B /@angle{/ang X}B /@rwi{10 div /rwi X}
B /@llx{/llx X}B /@lly{/lly X}B /@urx{/urx X}B /@ury{/ury X /BBcalc true N}B
/magscale true def end /@MacSetUp{userdict /md known{userdict /md get type
/dicttype eq{md begin /letter{}N /note{}N /legal{}N /od{txpose 1 0 mtx
defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{
itransform moveto}}{transform{itransform lineto}}{6 -2 roll transform 6 -2
roll transform 6 -2 roll transform{itransform 6 2 roll itransform 6 2 roll
itransform 6 2 roll curveto}}{{closepath}}pathforall newpath counttomark array
astore /gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{
PaintBlack}if}N /txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR
pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3
get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip
not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if
yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{noflips{TR pop pop 270
rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get
ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not
and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip
not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}
ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy
TR .96 dup scale neg S neg S TR}if}N /cp{pop pop showpage pm restore}N end}if}
if}N /normalscale{Resolution 72 div VResolution 72 div neg scale magscale{
DVImag dup scale}if}N /psfts{S 65536 div N}N /startTexFig{/psf$SavedState save
N userdict maxlength dict begin /magscale false def normalscale currentpoint
TR /psf$ury psfts /psf$urx psfts /psf$lly psfts /psf$llx psfts /psf$y psfts
/psf$x psfts currentpoint /psf$cy X /psf$cx X /psf$sx psf$x psf$urx psf$llx
sub div N /psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx
psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR /showpage{}N
/erasepage{}N /copypage{}N /p 3 def @MacSetUp}N /doclip{psf$llx psf$lly
psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll
S lineto S lineto S lineto closepath clip newpath moveto}N /endTexFig{end
psf$SavedState restore}N /@beginspecial{SDict begin /SpecialSave save N gsave
normalscale currentpoint TR @SpecialDefaults}N /@setspecial{CLIP{newpath 0 0
moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR
hsc vsc scale ang rotate BBcalc{rwi urx llx sub div dup scale llx neg lly neg
TR}if /showpage{}N /erasepage{}N /copypage{}N newpath}N /@endspecial{grestore
clear SpecialSave restore end}N /@defspecial{SDict begin}N /@fedspecial{end}B
/li{lineto}B /rl{rlineto}B /rc{rcurveto}B /np{/SaveX currentpoint /SaveY X N 1
setlinecap newpath}N /st{stroke SaveX SaveY moveto}N /fil{fill SaveX SaveY
moveto}N /ellipse{/endangle X /startangle X /yrad X /xrad X /savematrix matrix
currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc savematrix
setmatrix}N end
%%EndProcSet
TeXDict begin 1000 300 300 @start /Fa 1 1 df<FFFFC0FFFFC012027D871A>0
D E /Fb 3 62 df<03060C1C183830706060E0E0E0E0E0E0E0E0E0E06060703038181C0C060308
1E7E950D>40 D<C0603038181C0C0E06060707070707070707070706060E0C1C18383060C0081E
7E950D>I<7FFFE0FFFFF0000000000000000000000000000000000000FFFFF07FFFE0140A7E8B
19>61 D E /Fc 6 113 df<0C000C001C003C00FC004C000C000C000C000C000C000C000C000C
000C000C007FC07FC00A127E910F>49 D<7C00FF00E380418001801F807F80E180C180C180E380
7FF03CF00C0D7E8C0F>97 D<0E000E000E000000000000007E007E000600060006000600060006
00060006000600FFE0FFE00B137E920F>105 D<0380038003800000000000003F803F80018001
80018001800180018001800180018001800180018001804180E380FF007C0009197F920F>I<FE
E0FFF03BB033303330333033303330333033303330FFFCFFFC0E0D808C0F>109
D<F780FFC038E0387030303030303030303030387038E03FC037003000300030003000FC00FC00
0C137F8C0F>112 D E /Fd 1 81 df<FFFFFFFFE0FFFFFFFFF07800001FF07C000003F03E0000
00F81F000000380F0000001C0F8000000C07C000000C03C000000603E000000001F000000000F8
0000000078000000007C000000003E000000001E000000001F000000000F8000000007C0000000
03C000000003C000000001800000000380000000030000000006000000000C0000000018000000
00380000000030000000006000000000C0000006018000000C038000000C030000001C06000000
380C000000F818000001F83800001FF03FFFFFFFF07FFFFFFFF0FFFFFFFFE0272A7E7F2C>80
D E /Fe 38 123 df<FFE0FFE0FFE00B037F8C10>45 D<F0F0F0F004047B830E>I<00C001C007
C0FFC0FFC0FBC003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C0
03C003C003C003C003C003C003C003C003C0FFFFFFFFFFFF10227CA118>49
D<03F0000FFC001FFE003C1F003807807007C07003C0F003E0E001E06001E02001E00001E00001
E00001E00003C00003C0000780000780000F00001E00003C0000780000F00001E00001C0000380
000700000E00001C0000380000700000FFFFE0FFFFE0FFFFE013227EA118>I<01F00007FC001F
FF003E0F003807807003C02003C02003C00003C00003C00003C0000780000780000F00001E0003
FC0003F80003FE00000F000007800003C00003C00001E00001E00001E00001E00001E08001E0C0
03C0E003C07007803C0F801FFF000FFC0003F00013237EA118>I<001F00001F00002F00002F00
006F0000EF0000CF0001CF0001CF00038F00038F00078F00070F000F0F000E0F001E0F003C0F00
3C0F00780F00780F00F00F00FFFFF8FFFFF8FFFFF8000F00000F00000F00000F00000F00000F00
000F00000F00000F0015217FA018>I<3FFF803FFF803FFF803C00003C00003C00003C00003C00
003C00003C00003C00003C00003CF8003FFE003FFF003F0F803E07803C03C03803C00001E00001
E00001E00001E00001E00001E00001E04003C04003C0E003C07007807C1F003FFE000FFC0003F0
0013227EA018>I<001F0000001F0000003F8000003F8000003B8000007BC0000073C0000071C0
0000F1E00000F1E00000E0E00001E0F00001E0F00001C0F00003C0780003C07800038078000780
3C0007803C0007003C000F001E000F001E000FFFFE001FFFFF001FFFFF001C000F003C0007803C
00078038000780780003C0780003C0700003C0F00001E0F00001E0E00001E01B237EA220>65
D<FFFC00FFFF80FFFFC0F007F0F001F0F00078F0003CF0003CF0003CF0003CF0003CF00038F000
78F000F0F003E0FFFFC0FFFF00FFFFC0F00FE0F001F8F00078F0003CF0001CF0001EF0001EF000
1EF0001EF0001EF0003CF0007CF000F8F003F0FFFFE0FFFFC0FFFE0017237BA220>I<000FF000
007FFC0000FFFF0001F01F0003C00700078002000F0000001E0000003E0000003C0000003C0000
00780000007800000078000000F0000000F0000000F0000000F0000000F0000000F0000000F000
0000F0000000F00000007800000078000000780000003C0000003C0000003E0000001E0000000F
0000800780018003C0038001F00F8000FFFF00007FFC00000FF00019257DA31F>I<FFFFF0FFFF
F0FFFFF0F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F000
00FFFFE0FFFFE0FFFFE0F00000F00000F00000F00000F00000F00000F00000F00000F00000F000
00F00000F00000F00000F00000FFFFF8FFFFF8FFFFF815237BA21D>69 D<FFFFF0FFFFF0FFFFF0
F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000
FFFFC0FFFFC0FFFFC0F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000
F00000F00000F00000F00000F00000F0000014237BA21C>I<000FF000003FFE0000FFFF8001F8
1F8003E00780078001000F0000001E0000001E0000003C0000003C000000780000007800000078
000000F0000000F0000000F0000000F0000000F0000000F0000000F000FFC0F000FFC0F000FFC0
780003C0780003C0780003C03C0003C03C0003C01E0003C01E0003C00F0003C0078003C003E003
C001F80FC000FFFFC0003FFF00000FF8001A257DA321>I<F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F004237CA20D>73 D<F00000F00000F00000F000
00F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F000
00F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F000
00F00000F00000FFFFC0FFFFC0FFFFC012237BA21A>76 D<001FC000007FF00001FFFC0003F07E
0007C01F000F800F801F0007C01E0003C03C0001E03C0001E0780000F0780000F0780000F07000
0070F0000078F0000078F0000078F0000078F0000078F0000078F0000078F0000078F000007878
0000F0780000F0780000F07C0001F03C0001E03E0003E01E0003C01F0007C00F800F8007C01F00
03F07E0001FFFC00007FF000001FC0001D257DA324>79 D<FFFE00FFFF80FFFFC0F003E0F000F0
F00078F00078F0003CF0003CF0003CF0003CF0003CF0003CF00078F00078F000F0F003E0FFFFC0
FFFF80FFFE00F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000
F00000F00000F00000F0000016237BA21F>I<FFFC00FFFF80FFFFC0F003E0F000F0F00078F000
38F0003CF0003CF0003CF0003CF0003CF00038F00078F000F0F003E0FFFFC0FFFF80FFFE00F01E
00F00F00F00700F00780F00380F003C0F001E0F001E0F000F0F000F0F00078F00038F0003CF000
1EF0001EF0000F18237BA21F>82 D<07E01FF83FFC3C1E301E200F000F000F000F01FF0FFF3FFF
7F0F780FF00FF00FF00FF80F7C3F7FFF3FFF1F8F10167E9517>97 D<01FC0007FF000FFF801F07
803C0180780000780000700000F00000F00000F00000F00000F00000F000007800007800007800
403C00C01F07C00FFFC007FF8001FC0012167E9516>99 D<0003C00003C00003C00003C00003C0
0003C00003C00003C00003C00003C00003C00003C00003C003F3C00FFFC01FFFC03F0FC03C07C0
7803C07803C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C07803C07803C03C07C0
3E0FC01FFFC00FFBC003E3C012237EA219>I<03F00007FC001FFE003E0F003C07807803807803
80F001C0FFFFC0FFFFC0FFFFC0F00000F00000F000007000007800007800003C00801F07800FFF
8007FF0001F80012167E9516>I<01F0F807FFF80FFFF81F1F801E0F003C07803C07803C07803C
07803C07801E0F001F1F001FFE001FFC0039F0003800003800003C00003FFE001FFFC01FFFE03F
FFF07801F0F800F8F00078F00078F00078F000787800F03E03E01FFFC00FFF8001FC0015217F95
18>103 D<F000F000F000F000F000F000F000F000F000F000F000F000F000F1F8F7FCFFFEFE1E
F80FF80FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00F10237C
A219>I<F0F0F0F0000000000000000000F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
04237DA20B>I<F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F000
00F00000F00000F01F80F03F00F03E00F07C00F0F800F1F000F3E000F7C000FFC000FFC000FFE0
00FFE000FDF000F8F800F07800F07C00F03E00F01E00F01F00F00F00F00F80F007C012237CA218
>107 D<F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
04237DA20B>I<F0F807C0F3FE1FF0FFFF7FF8FE0FF078FC0FE07CF807C03CF807C03CF007803C
F007803CF007803CF007803CF007803CF007803CF007803CF007803CF007803CF007803CF00780
3CF007803CF007803CF007803CF007803C1E167C9529>I<F1F8F7FCFFFEFE1EF80FF80FF00FF0
0FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00F10167C9519>I<01FC00
07FF000FFF801F07C03C01E07800F07800F0700070F00078F00078F00078F00078F00078F00078
7800F07800F07C01F03E03E01F07C00FFF8007FF0001FC0015167F9518>I<F1F000F7FC00FFFE
00FC3F00F80F00F00780F00780F007C0F003C0F003C0F003C0F003C0F003C0F003C0F007C0F007
80F00F80F80F00FC3E00FFFE00F7F800F3F000F00000F00000F00000F00000F00000F00000F000
00F00000F00000F0000012207C9519>I<F0E0F3E0F7E0FFE0FF00FC00F800F800F000F000F000
F000F000F000F000F000F000F000F000F000F000F0000B167C9511>114
D<07F01FFE3FFF3C0F7803780078007C003F003FF01FF80FFC01FE001F000F000F400FE00FF81E
FFFE3FFC0FF010167F9513>I<0F000F000F000F000F000F00FFF8FFF8FFF80F000F000F000F00
0F000F000F000F000F000F000F000F000F000F000F080F1C07FC07F803E00E1C7F9B12>I<F00F
F00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF01FF83F7FFF7F
EF1F8F10167C9519>I<7801F07C01E03E03C01E07C00F0780078F0007DE0003FC0001FC0000F8
0000700000F80001FC0003DC00039E00078F000F07801E07801E03C03C01E07800F0F800F81516
809516>120 D<F001E0F001E07803C07803C07C03C03C07803C07801E07801E07001E0F000F0F
000F0E00071E00079E00039C00039C00039C0001980001D80000F80000F00000F00000F00000E0
0000E00001E00001C00001C0004380007F80007F00007E000013207F9516>I<7FFFC07FFFC07F
FFC0000F80000F00001E00003E00007C0000780000F00001F00003E00003C0000780000F80001F
00001E00003C00007C0000FFFFC0FFFFC0FFFFC012167F9515>I E /Ff
5 103 df<70F8F8F87005057C840D>58 D<70F8FCFC7C0C0C0C181838306040060E7C840D>I<00
F18003FDC0078F800E07801C07803C07803C0700780700780700780700F00E00F00E00F00E00F0
0E18F01C30F03C30707C3078FC603FCFC00F078015147E9318>97 D<07803F803F000700070007
000E000E000E000E001C001C001CF01FFC3F1E3E0E3C0F380F700F700F700F700FE01EE01EE01E
E03CE03CE038607071E03FC01F0010207E9F14>I<00007C0000FE00019E00039E00030C000700
000700000700000700000E00000E00000E0000FFF001FFF0000E00001C00001C00001C00001C00
001C0000380000380000380000380000380000700000700000700000700000700000E00000E000
00E00000E00000C00001C00031C000798000F300007E00003C000017297E9F16>102
D E /Fg 1 3 df<C00060E000E07001C03803801C07000E0E00071C0003B80001F00000E00000
E00001F00003B800071C000E0E001C07003803807001C0E000E0C0006013147A9320>2
D E /Fh 17 119 df<387CFEFEFE7C3800000000387CFEFEFE7C3807127D910D>58
D<00038000000380000007C0000007C0000007C000000FE000000FE000001FF000001BF000001B
F0000031F8000031F8000061FC000060FC0000E0FE0000C07E0000C07E0001803F0001FFFF0003
FFFF8003001F8003001F8006000FC006000FC00E000FE00C0007E0FFC07FFEFFC07FFE1F1C7E9B
24>65 D<FFFFF800FFFFFF000FC01FC00FC007E00FC003F00FC001F80FC001F80FC000FC0FC000
FC0FC000FC0FC000FE0FC000FE0FC000FE0FC000FE0FC000FE0FC000FE0FC000FE0FC000FE0FC0
00FC0FC000FC0FC000FC0FC001F80FC001F80FC003F00FC007E00FC01FC0FFFFFF00FFFFF8001F
1C7E9B25>68 D<FFC00003FFFFE00007FF0FE00007F00DF0000DF00DF0000DF00DF0000DF00CF8
0019F00CF80019F00C7C0031F00C7C0031F00C3E0061F00C3E0061F00C1F00C1F00C1F00C1F00C
1F00C1F00C0F8181F00C0F8181F00C07C301F00C07C301F00C03E601F00C03E601F00C01FC01F0
0C01FC01F00C01FC01F00C00F801F00C00F801F0FFC0701FFFFFC0701FFF281C7E9B2D>77
D<0FF8001FFE003E1F803E07803E07C01C07C00007C003FFC01FFFC03F87C07E07C0FC07C0FC07
C0FC07C0FC0FC07E1FC03FFBF80FE1F815127F9117>97 D<03FC000FFE001F1F003E1F007C1F00
7C0E00FC0000FC0000FC0000FC0000FC0000FC00007C00007E01803E03801F07000FFE0003F800
11127E9115>99 D<01FC000FFF001F0F803E07C07C03C07C03E0FC03E0FFFFE0FFFFE0FC0000FC
0000FC00007C00007E00603E00C01F81C00FFF0001FC0013127F9116>101
D<03F0F00FFFF83E1F383C0F307C0F807C0F807C0F807C0F803C0F003E1F001FFC0033F0003000
007000003800003FFF003FFFC01FFFE03FFFF07801F8F00078F00078F000787800F03E03E01FFF
C003FE00151B7F9118>103 D<1E003F003F007F003F003F001E0000000000000000000000FF00
FF001F001F001F001F001F001F001F001F001F001F001F001F001F001F00FFE0FFE00B1E7F9D0E
>105 D<FF00FF001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F
001F001F001F001F001F001F001F001F001F00FFE0FFE00B1D7F9C0E>108
D<FF1FC0FF7FE01FE1F01F80F81F80F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00
F81F00F81F00F81F00F8FFE7FFFFE7FF18127F911B>110 D<01FC000FFF801F07C03E03E07C01
F07C01F0FC01F8FC01F8FC01F8FC01F8FC01F8FC01F87C01F07C01F03E03E01F07C00FFF8001FC
0015127F9118>I<FE3E00FE7F001ECF801F8F801F8F801F07001F00001F00001F00001F00001F
00001F00001F00001F00001F00001F0000FFF000FFF00011127F9114>114
D<1FD83FF87038E018E018F000FF807FE07FF01FF807FC007CC01CC01CE01CF038FFF0CFC00E12
7E9113>I<030003000300070007000F000F003F00FFFCFFFC1F001F001F001F001F001F001F00
1F001F001F0C1F0C1F0C1F0C0F9807F003E00E1A7F9913>I<FF07F8FF07F81F00F81F00F81F00
F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F01F80F03F80FFEFF03F8
FF18127F911B>I<FFC1FCFFC1FC1F00601F80E00F80C00FC0C007C18007C18003E30003E30001
F60001F60001FE0000FC0000FC0000780000780000300016127F9119>I
E /Fi 43 123 df<01F1C003F1C007F1C00701C00E01C00E01C00E01C00E01C00E01C00E01C00E
01C0FFF1C0FFF1C0FFF1C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E
01C00E01C00E01C00E01C00E01C00E01C0121D809C16>13 D<00E001C0038007000E000E001C00
1C003800380038007000700070007000E000E000E000E000E000E000E000E000E000E000E000E0
0070007000700070003800380038001C001C000E000E000700038001C000E00B2A7E9E10>40
D<E000700038001C000E000E000700070003800380038001C001C001C001C000E000E000E000E0
00E000E000E000E000E000E000E000E001C001C001C001C0038003800380070007000E000E001C
0038007000E0000B2A7E9E10>I<00030003000700060006000E000C001C001800180038003000
3000700060006000E000C000C001C001800380030003000700060006000E000C000C001C001800
180038003000700060006000E000C000C00010297E9E15>47 D<001C0000003E0000003E000000
2E0000006700000067000000E7800000C7800000C3800001C3C0000183C0000181C0000381E000
0381E0000700F0000700F0000600F0000E0078000FFFF8000FFFF8001FFFFC001C003C0018003C
0038001E0038001E0070001F0070000F0070000F00E0000780191D7F9C1C>65
D<003FC000FFF003FFF007C0700F80001E00003E00003C0000780000780000780000F00000F000
00F00000F00000F00000F00000F00000F00000F000007800007800007800003C00003E00001E00
000F800807C07803FFF800FFF0003F80151F7D9D1B>67 D<FFFC00FFFF00FFFF80F00FE0F003F0
F000F0F00078F00078F0003CF0003CF0001CF0001EF0001EF0001EF0001EF0001EF0001EF0001E
F0001EF0003CF0003CF0007CF00078F000F0F001F0F007E0FFFFC0FFFF00FFFC00171D7C9C1E>
I<FFFFC0FFFFC0FFFFC0F00000F00000F00000F00000F00000F00000F00000F00000F00000FFFF
80FFFF80FFFF80F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F000
00FFFFC0FFFFC0FFFFC0121D7C9C19>I<FFFF80FFFF80FFFF80F00000F00000F00000F00000F0
0000F00000F00000F00000F00000F00000FFFF00FFFF00FFFF00F00000F00000F00000F00000F0
0000F00000F00000F00000F00000F00000F00000F00000F00000111D7C9C18>I<F000F0F000F0
F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0FFFFF0FFFFF0FFFFF0
F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0
F000F0141D7C9C1D>72 D<F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
F0041D7C9C0C>I<F0003CF00078F000F0F001E0F003C0F00780F00F00F01E00F03C00F07800F0
F000F0E000F1F000F3F000F77800FE7C00FC3C00FC1E00F81F00F00F00F00F80F00780F003C0F0
03E0F001E0F000F0F000F0F00078F0007C161D7C9C1D>75 D<F000F000F000F000F000F000F000
F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000FF
FEFFFEFFFE0F1D7C9C16>I<FC0007E0FC0007E0FC0007E0EE000DE0EE000DE0EE000DE0E70019
E0E70019E0E70019E0E78039E0E38031E0E3C071E0E3C071E0E1C061E0E1C061E0E1E0E1E0E1E0
E1E0E0E0C1E0E0F1C1E0E07181E0E07181E0E07181E0E03B01E0E03B01E0E03B01E0E01E01E0E0
1E01E0E01E01E0E00001E01B1D7C9C24>I<FC0070FC0070FE0070EE0070EF0070E70070E70070
E78070E38070E3C070E3C070E1E070E1E070E0E070E0F070E07070E07870E07870E03C70E03C70
E01C70E01E70E00E70E00E70E00F70E00770E007F0E003F0E003F0141D7C9C1D>I<003F000001
FFE00003FFF00007C0F8000F807C001E001E003E001F003C000F00780007807800078078000780
F00003C0F00003C0F00003C0F00003C0F00003C0F00003C0F00003C0F00003C0F80007C0780007
80780007807C000F803C000F003E001F001F003E000F807C0007C0F80003FFF00001FFE000003F
00001A1F7E9D1F>I<FFFC00FFFF00FFFF80F007C0F003E0F001E0F000F0F000F0F000F0F000F0
F000F0F001E0F003E0F007C0FFFF80FFFF00FFFC00F00000F00000F00000F00000F00000F00000
F00000F00000F00000F00000F00000F00000141D7C9C1B>I<FFF800FFFF00FFFF80F007C0F001
E0F000E0F000F0F000F0F000F0F000F0F000E0F001E0F007C0FFFF80FFFF00FFF800F03C00F01C
00F01E00F00F00F00F00F00780F00780F003C0F003C0F001E0F000F0F000F0F00078151D7C9C1B
>82 D<03F8000FFE001FFF003E0F00780300780000F00000F00000F00000F00000F800007C0000
7F00003FE0001FFC0007FE0001FF00001F800007800007C00003C00003C00003C00003C00003C0
C00780E00780FC1F007FFE001FFC0007F000121F7E9D17>I<FFFFFF80FFFFFF80FFFFFF80001E
0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E000000
1E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000
001E0000001E0000001E0000001E0000001E0000001E0000191D7F9C1C>I<F00070F00070F000
70F00070F00070F00070F00070F00070F00070F00070F00070F00070F00070F00070F00070F000
70F00070F00070F00070F00070F00070F00070F000F07800E07801E03C03C01F07800FFF8007FE
0001F800141E7C9C1D>I<F0000380F00003807800070078000700780007003C000E003C000E00
3E000E001E001C001E001C000F0038000F0038000F003800078070000780700003C0600003C0E0
0003C0E00001E0C00001E1C00001E1C00000F1800000F380000073000000730000007B0000003E
0000003E0000001C0000191D7F9C1C>I<F000F00070F000F80070F000F800707800B800607801
9C00E078019C00E078019C00E03C039C01C03C031E01C03C030E01C01E030E01801E070F03801E
070F03801E060F03800F060703000F0E0787000F0C078700070C038600070C038600079C038E00
079803CE00039801CC00039801CC00039801CC0001D001C80001D000D80001F000F80001E000F8
0000E0007000241D7F9C27>I<78000E007C001E003C003C001E0038000F0070000F00F0000781
E00003C1C00001C3C00001E7800000F70000007E0000003E0000003C0000003C0000007E000000
77000000E7800001E3800003C1C0000381E0000700F0000F00F8000E0078001C003C003C003E00
78001F0070000F00F0000F80191D7F9C1C>I<0FC03FF07FF87038401C001C001C00FC0FFC3FFC
781CE01CE01CE01CF07C7FFC7FDC3F1C0E127E9114>97 D<07E00FF81FFC3C1C70047000E000E0
00E000E000E000E000700070043C1C1FFC0FF807E00E127E9112>99 D<000E000E000E000E000E
000E000E000E000E000E000E0F8E1FEE3FFE7C3E700E700EE00EE00EE00EE00EE00EE00EF00E70
1E7C3E3FFE1FEE0F8E0F1D7E9C15>I<07C01FE03FF078787018601CFFFCFFFCFFFCE000E000E0
00700070043C1C3FFC1FF807E00E127E9112>I<00FC01FC03FC07000E000E000E000E000E000E
000E00FFE0FFE0FFE00E000E000E000E000E000E000E000E000E000E000E000E000E000E000E00
0E1D809C0D>I<E000E000E000E000E000E000E000E000E000E000E000E3E0EFF0FFF8F83CF01C
E01CE01CE01CE01CE01CE01CE01CE01CE01CE01CE01CE01CE01C0E1D7D9C15>104
D<F0F0F0F000000000000000707070707070707070707070707070707070041D7E9C0A>I<E000
E000E000E000E000E000E000E000E000E000E000E03CE078E0F0E1E0E3C0E780EF00FF00FF80FB
80F9C0F1E0E0E0E0F0E078E038E03CE01E0F1D7D9C14>107 D<E3F03F00EFF8FF80FFFDFFC0F8
1F81E0F00F00E0E00E00E0E00E00E0E00E00E0E00E00E0E00E00E0E00E00E0E00E00E0E00E00E0
E00E00E0E00E00E0E00E00E0E00E00E0E00E00E01B127D9124>109 D<E3E0EFF0FFF8F83CF01C
E01CE01CE01CE01CE01CE01CE01CE01CE01CE01CE01CE01CE01C0E127D9115>I<03F0000FFC00
1FFE003C0F00780780700380E001C0E001C0E001C0E001C0E001C0F003C07003807807803C0F00
1FFE000FFC0003F00012127F9115>I<E3E0EFF0FFF8F87CF01CE01EE00EE00EE00EE00EE00EE0
0EE01CF03CF87CFFF8EFF0E3C0E000E000E000E000E000E000E000E0000F1A7D9115>I<1FC03F
F07FF0F030E000E000F0007F003FC01FE000F0003800388038F078FFF07FE01FC00D127F9110>
115 D<1C001C001C001C001C001C00FFE0FFE0FFE01C001C001C001C001C001C001C001C001C00
1C001C001C201FF00FF007C00C187F970F>I<E01CE01CE01CE01CE01CE01CE01CE01CE01CE01C
E01CE01CE01CE01CE07CFFFC7FDC3F1C0E127D9115>I<E03E0380E03E0380E03E038070370300
70770700707707007073070038E38E0038E38E0038E38E0018E18C001CC1CC001DC1DC001DC1DC
000D80D8000F80F8000F80F8000780700019127F911C>119 D<7003807807003C0E001C1C000E
1C0007380003F00001E00001C00001E00003F0000738000E18000E1C001C0E00380700700380F0
03C01212809113>I<E007E007700E700E780E381C381C1C181C380C380E300E70067007600360
03C001C001C001800180030003000700FE00FC00F800101A7F9113>I<7FFC7FFC7FFC007800F0
00E001E003C0038007000F001E001C003C007800FFFCFFFCFFFC0E127F9112>I
E /Fj 16 122 df<060C183030606060C0C0C0C0C0C0C0C0C0C06060603030180C06071A7F920C
>40 D<C0603018180C0C0C060606060606060606060C0C0C18183060C0071A7E920C>I<1F003F
8060C04040C060C060C060C060C060C060C060C06060C060C03F801F000B107F8F0F>48
D<18007800F80098001800180018001800180018001800180018001800FF80FF8009107E8F0F>
I<3F007F80F1C0F0E06060006000E000C00180030006001C0038606060FFC0FFC00B107F8F0F>
I<1F003F8071C071C031C001800F800F0001C000E060E0F0E0F0E0F1C07F801F000B107F8F0F>
I<070007000F001F001B003B0033006300E300FFE0FFE00300030003001FE01FE00B107F8F0F>
I<60807F807F007C00600060006F007F8070C060E000E060E0E0E0E1C07F803F000B107F8F0F>
I<07801FC039C061C06000C000DF80FFC0E060C060C060C060606060C03F801F000B107F8F0F>
I<60007FE07FE0C0C0C1800180030006000E000C000C001C001C001C001C001C0008000B117E90
0F>I<1F003F8061C060C060C079C03F801F803FC063E0C0E0C060C06060C03F801F000B107F8F
0F>I<1F003F8060C0C0C0C060C060C060C0E07FE03F60006000C070C071807F003E000B107F8F
0F>I<07F807F800E000E000E000E000E000E000E000E000E000E060E0F0E0F1E07FC03F000D11
809010>74 D<F0F030303030303030303030303030FCFC0611809008>108
D<F1E0F1E030603060306030603060306030E03FF81F780D0B7F8A11>117
D<F9F0F9F030C030C01980198019800F000F000F00060006004E00EC00F80070000C107F8A10>
121 D E /Fk 56 124 df<003F0F0000FFBF8003C3F3C00703E3C00703C1800E01C0000E01C000
0E01C0000E01C0000E01C0000E01C000FFFFFC00FFFFFC000E01C0000E01C0000E01C0000E01C0
000E01C0000E01C0000E01C0000E01C0000E01C0000E01C0000E01C0000E01C0000E01C0000E01
C0007F87FC007F87FC001A1D809C18>11 D<003F0000FF8003C1C00703C00703C00E01800E0000
0E00000E00000E00000E0000FFFFC0FFFFC00E01C00E01C00E01C00E01C00E01C00E01C00E01C0
0E01C00E01C00E01C00E01C00E01C00E01C00E01C07F87F87F87F8151D809C17>I<003FC000FF
C003C3C00703C00701C00E01C00E01C00E01C00E01C00E01C00E01C0FFFFC0FFFFC00E01C00E01
C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C07FCF
F87FCFF8151D809C17>I<7070F8F8FCFCFCFC7C7C0C0C0C0C0C0C181818183030606040400E0D
7F9C15>34 D<00C00180030006000E000C001C0018003800300030007000700060006000E000E0
00E000E000E000E000E000E000E000E000E000E000600060007000700030003000380018001C00
0C000E0006000300018000C00A2A7D9E10>40 D<C0006000300018001C000C000E000600070003
000300038003800180018001C001C001C001C001C001C001C001C001C001C001C001C001800180
0380038003000300070006000E000C001C00180030006000C0000A2A7E9E10>I<70F0F8F87818
18183030706040050D7D840C>44 D<FFE0FFE0FFE00B0380890E>I<70F8F8F87005057D840C>I<
00030003000700060006000E000C001C0018001800380030003000700060006000E000C000C001
C001800380030003000700060006000E000C000C001C001800180038003000700060006000E000
C000C00010297E9E15>I<030007003F00FF00C700070007000700070007000700070007000700
070007000700070007000700070007000700070007000700FFF8FFF80D1C7C9B15>49
D<07C01FF03878603C601EF01EF80FF80FF80F700F000F000E001E001C003C0078007000E001C0
038007000E030C03180330067FFEFFFEFFFE101C7E9B15>I<07E01FF03838301C781E781E781E
381E001E003C0038007007E007E00038001C001E000E000F000F700FF80FF80FF80EF01E601C38
381FF007C0101D7E9B15>I<70F8F8F870000000000000000070F8F8F87005127D910C>58
D<00060000000F0000000F0000000F0000001F8000001F8000001F8000001F80000033C0000033
C0000033C0000061E0000061E0000061E00000C0F00000C0F00000C0F000018078000180780001
FFF80003FFFC0003003C0003003C0006001E0006001E0006001E001F001F00FFC0FFF0FFC0FFF0
1C1D7F9C1F>65 D<001F808000FFE18003F0338007801B800F000F801E0007801C0003803C0003
80780003807800018070000180F0000180F0000000F0000000F0000000F0000000F0000000F000
0000F00000007000018078000180780001803C0001801C0003001E0003000F00060007800C0003
F0380000FFF000001F8000191E7E9C1E>67 D<FFFFC000FFFFF0000F007C000F001E000F000F00
0F0007000F0003800F0003C00F0003C00F0001C00F0001E00F0001E00F0001E00F0001E00F0001
E00F0001E00F0001E00F0001E00F0001C00F0001C00F0003C00F0003800F0007800F000F000F00
1E000F007C00FFFFF000FFFFC0001B1C7E9B20>I<FFFFFCFFFFFC0F007C0F001C0F000C0F000E
0F00060F03060F03060F03060F03000F07000FFF000FFF000F07000F03000F03000F03030F0303
0F00030F00060F00060F00060F000E0F001E0F007CFFFFFCFFFFFC181C7E9B1C>I<FFFFF8FFFF
F80F00780F00380F00180F001C0F000C0F000C0F030C0F030C0F03000F03000F07000FFF000FFF
000F07000F03000F03000F03000F03000F00000F00000F00000F00000F00000F0000FFF800FFF8
00161C7E9B1B>I<FFF3FFC0FFF3FFC00F003C000F003C000F003C000F003C000F003C000F003C
000F003C000F003C000F003C000F003C000FFFFC000FFFFC000F003C000F003C000F003C000F00
3C000F003C000F003C000F003C000F003C000F003C000F003C000F003C000F003C00FFF3FFC0FF
F3FFC01A1C7E9B1F>72 D<FFF0FFF00F000F000F000F000F000F000F000F000F000F000F000F00
0F000F000F000F000F000F000F000F000F000F000F000F00FFF0FFF00C1C7F9B0F>I<FF8000FF
80FFC001FF800FC001F8000FC001F8000DE00378000DE00378000DE00378000CF00678000CF006
78000CF00678000C780C78000C780C78000C780C78000C3C1878000C3C1878000C3C1878000C1E
3078000C1E3078000C1E3078000C0F6078000C0F6078000C0F6078000C07C078000C07C078000C
07C078001E03807800FFC387FF80FFC387FF80211C7E9B26>77 D<FF00FFC0FF80FFC00F801E00
0FC00C000FC00C000DE00C000CF00C000CF00C000C780C000C780C000C3C0C000C1E0C000C1E0C
000C0F0C000C0F0C000C078C000C07CC000C03CC000C01EC000C01EC000C00FC000C00FC000C00
7C000C003C000C003C001E001C00FFC01C00FFC00C001A1C7E9B1F>I<003F800000FFE00003E0
F80007803C000E000E001E000F003C00078038000380780003C0780003C0700001C0F00001E0F0
0001E0F00001E0F00001E0F00001E0F00001E0F00001E0F00001E0780003C0780003C0780003C0
3C0007803C0007801E000F000F001E0007803C0003E0F80000FFE000003F80001B1E7E9C20>I<
FFFF80FFFFE00F00F00F00380F003C0F001E0F001E0F001E0F001E0F001E0F001E0F003C0F0038
0F00F00FFFE00FFF800F00000F00000F00000F00000F00000F00000F00000F00000F00000F0000
FFF000FFF000171C7E9B1C>I<FFFF0000FFFFE0000F00F0000F0038000F003C000F001E000F00
1E000F001E000F001E000F001E000F003C000F0038000F00F0000FFFE0000FFFC0000F01E0000F
00F0000F0078000F0078000F0078000F0078000F0078000F0078000F0078000F0078300F003830
FFF03C60FFF01FE0000007C01C1D7E9B1F>82 D<07E0801FF9803C1F80700780700380E00380E0
0180E00180E00180F00000F000007C00007FC0003FF8001FFE0007FF0000FF80000F800003C000
03C00001C0C001C0C001C0C001C0E00180E00380F00300FC0E00CFFC0083F800121E7E9C17>I<
7FFFFFC07FFFFFC0780F03C0700F01C0600F00C0E00F00E0C00F0060C00F0060C00F0060C00F00
60000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F
0000000F0000000F0000000F0000000F0000000F0000000F000003FFFC0003FFFC001B1C7F9B1E
>I<FFF0FFC0FFF0FFC00F001E000F000C000F000C000F000C000F000C000F000C000F000C000F
000C000F000C000F000C000F000C000F000C000F000C000F000C000F000C000F000C000F000C00
0F000C000F000C000F000C0007001800078018000380300001C0300000E0E000007FC000001F00
001A1D7E9B1F>I<FFE0FFE1FFFFE0FFE1FF1F001E007C0F001E00300F003F00300F003F00300F
803F007007806780600780678060078067806003C0E780C003C0C3C0C003C0C3C0C001E0C3C180
01E181E18001E181E18001E181E18000F381F30000F300F30000F300F300007B00F600007E007E
00007E007E00007E007E00003C003C00003C003C00003C003C00001C0038000018001800281D7F
9B2B>87 D<08081818303060606060C0C0C0C0C0C0F8F8FCFCFCFC7C7C38380E0D7B9C15>92
D<0FE0001FF8003C3C003C1E00180E00000E00001E0007FE001FFE003E0E00780E00F00E00F00E
60F00E60F01E60783E603FFFC01F878013127F9115>97 D<FC0000FC00001C00001C00001C0000
1C00001C00001C00001C00001C00001C00001C7E001DFF001F87801E01C01C01E01C00E01C00F0
1C00F01C00F01C00F01C00F01C00F01C00E01C01E01E01C01F078019FF00187C00141D7F9C17>
I<03F00FF81E3C383C78187000F000F000F000F000F000F000780078063C061E0C0FF803E00F12
7F9112>I<001F80001F8000038000038000038000038000038000038000038000038000038003
E3800FFB801E0F80380780780380700380F00380F00380F00380F00380F00380F0038070038078
03803807801E1F800FFBF007E3F0141D7F9C17>I<03E00FF01C38381C781E700EFFFEFFFEF000
F000F000F000700078063C061E0C0FF803E00F127F9112>I<007801FC039E071E0E0C0E000E00
0E000E000E000E00FFE0FFE00E000E000E000E000E000E000E000E000E000E000E000E000E000E
007FE07FE00F1D809C0D>I<00038007E7C00FFDC03C3DC0381C00781E00781E00781E00781E00
381C003C3C003FF00037E0007000007000003000003FFC001FFF003FFF80700780E001C0E001C0
E001C0E001C07003803C0F001FFE0007F800121C7F9215>I<FC0000FC00001C00001C00001C00
001C00001C00001C00001C00001C00001C00001C7C001DFF001F07001E03801E03801C03801C03
801C03801C03801C03801C03801C03801C03801C03801C03801C0380FF9FF0FF9FF0141D7F9C17
>I<18003C007C003C001800000000000000000000000000FC00FC001C001C001C001C001C001C
001C001C001C001C001C001C001C001C00FF80FF80091D7F9C0C>I<FC0000FC00001C00001C00
001C00001C00001C00001C00001C00001C00001C00001C7FC01C7FC01C3E001C18001C30001C60
001CC0001DE0001FE0001E70001C78001C38001C3C001C1C001C0E001C0F00FF9FE0FF9FE0131D
7F9C16>107 D<FC00FC001C001C001C001C001C001C001C001C001C001C001C001C001C001C00
1C001C001C001C001C001C001C001C001C001C001C00FF80FF80091D7F9C0C>I<FC7E07E000FD
FF9FF8001F83B838001E01E01C001E01E01C001C01C01C001C01C01C001C01C01C001C01C01C00
1C01C01C001C01C01C001C01C01C001C01C01C001C01C01C001C01C01C001C01C01C00FF8FF8FF
80FF8FF8FF8021127F9124>I<FC7C00FDFF001F07001E03801E03801C03801C03801C03801C03
801C03801C03801C03801C03801C03801C03801C0380FF9FF0FF9FF014127F9117>I<03F0000F
FC001E1E00380700780780700380F003C0F003C0F003C0F003C0F003C0F003C070038078078038
07001E1E000FFC0003F00012127F9115>I<FC7E00FDFF001F87801E03C01C01E01C01E01C00F0
1C00F01C00F01C00F01C00F01C00F01C01E01C01E01E03C01F07801DFF001C7C001C00001C0000
1C00001C00001C00001C0000FF8000FF8000141A7F9117>I<FDE0FFF01F781E781E301C001C00
1C001C001C001C001C001C001C001C001C00FFC0FFC00D127F9110>114
D<1F903FF07070E030E030E030F8007F803FE00FF000F8C038C038E038E038F070DFE08FC00D12
7F9110>I<0C000C000C000C000C001C001C003C00FFE0FFE01C001C001C001C001C001C001C00
1C001C301C301C301C301C301E600FC007800C1A7F9910>I<FC1F80FC1F801C03801C03801C03
801C03801C03801C03801C03801C03801C03801C03801C03801C03801C07800C0F800FFBF003E3
F014127F9117>I<FF0FE0FF0FE01C07801C03000E06000E06000E0600070C00070C00071C0003
980003980003F80001F00001F00000E00000E00000E00013127F9116>I<FF3FCFE0FF3FCFE01C
0F07801C0F03001C1F03000E1B06000E1B86000E1B86000E318E000731CC000731CC000760CC00
03E0F80003E0F80003E0F80001C0700001C0700001C070001B127F911E>I<7F8FF07F8FF00F07
80070600038E0001DC0001D80000F00000700000780000F80001DC00038E00030E000607000F03
80FF8FF8FF8FF81512809116>I<FF0FE0FF0FE01C07801C03000E06000E06000E0600070C0007
0C00071C0003980003980003F80001F00001F00000E00000E00000E00000C00000C00000C000F1
8000F18000C700007E00003C0000131A7F9116>I<7FFC7FFC7838707060F060E061C063C00380
070C0F0C0E0C1C1C3C1838187078FFF8FFF80E127F9112>I<FFFFF0FFFFF01402808B15>I
E /Fl 28 91 df<3078F8787005057C840D>46 D<000C001C00FC0FF80F380038003800380038
00700070007000700070007000E000E000E000E000E000E001C001C001C001C001C001C003C07F
FEFFFE0F1E7C9D17>49 D<003F0000FFC001C1E00300F00600780600780F007C0F807C0F807C0F
00780600780000F80000F00001F00001E00003C0000780000F00001C0000380000700000C00001
80000300600600601C00C03800C07FFFC0FFFF80FFFF80161E7E9D17>I<007F0001FFC00383E0
0701E00700F00F00F00F01F00F01F00001E00001E00003C0000780000F0000FE0000F800000E00
0007000007800003C00003C00003C03007C07807C0F807C0F807C0F00F80C00F00601E00383C00
1FF80007E000141F7D9D17>I<0001C00003C00003C0000780000F80001B80003B800073800063
8000C7000187000307000707000E07000C0700180E00300E00600E00E00E00FFFFF0FFFFF0001C
00001C00001C00001C00001C00001C00003C0003FFC003FFC0141E7D9D17>I<03007003FFF003
FFE003FF8003FE000600000600000600000600000600000600000C7C000DFF000F87800E03800C
01C00C01C00001E00001E00001E00001E07003C0F003C0F003C0F00380C00780E00700600E0038
3C001FF0000FC000141F7D9D17>I<000F80007FC000F0E001C0E00381E00701E00E00C01E0000
1C00003C000038000079FC007BFE007E07007C0380F80380F803C0F003C0F003C0F003C0F003C0
F00780E00780E00780E00700E00F00700E00701C003838001FF00007C000131F7C9D17>I<0000
180000003800000038000000780000007C000000FC000000FC000001BC000001BC0000033C0000
033E0000061E0000061E00000C1E00000C1E0000181E0000181F0000300F0000300F0000600F00
007FFF0000FFFF0000C00F000180078001800780030007800300078006000780060007801F0007
C0FFC07FFCFFC07FFC1E207E9F22>65 D<07FFFF0007FFFFC0003C01E0003C01F0007800F80078
00F8007800F8007800F8007800F8007800F000F001F000F003E000F007C000F00F8000FFFE0000
FFFF8001E007C001E003E001E003E001E001E001E001E001E001F003C001E003C003E003C003E0
03C007C003C007C003C00F8007C03F007FFFFE00FFFFF0001D1F7E9E20>I<0003F808000FFE18
003F0738007801F801F000F803C000F007C00070078000700F0000701F0000701E0000703E0000
603C0000607C0000007C0000007C0000007C000000F8000000F8000000F8000000F8000000F800
00C0780000C0780001807C0001803C0003003C0003001E0006001E000C000F80180007E0700001
FFC000007F00001D217B9F21>I<07FFFF0007FFFFE0003C01F0003C00F80078007C0078003C00
78001E0078001E0078001E0078001F00F0001F00F0001F00F0001F00F0001F00F0001F00F0001F
01E0001E01E0003E01E0003E01E0003E01E0003C01E0007C03C0007803C000F003C000F003C001
E003C003C003C00F8007C03F007FFFFC00FFFFE000201F7E9E23>I<07FFFFF807FFFFF8003C00
F8003C0078007800380078003800780038007800380078003800780C3000F0183000F0180000F0
180000F0380000FFF80000FFF80001E0700001E0300001E0300001E0301801E0303001E0003003
C0003003C0006003C0006003C000E003C001C003C003C007C00FC07FFFFF80FFFFFF801D1F7E9E
1F>I<07FFFFF807FFFFF8003C00F8003C00780078003800780038007800380078003800780038
00780C3000F0183000F0180000F0180000F0380000FFF80000FFF80001E0700001E0300001E030
0001E0300001E0300001E0000003C0000003C0000003C0000003C0000003C0000003C0000007C0
00007FFE0000FFFE00001D1F7E9E1E>I<0001FC04000FFF0C003F039C007800FC00F000FC03E0
007803C00078078000380F0000381F0000381E0000383E0000303E0000307C0000007C0000007C
0000007C000000F8000000F8000000F8007FFCF8007FFCF80001E0780001E0780003C07C0003C0
3C0003C03C0003C01E0003C00F0007C007800F8003E0398001FFF080003F80001E217B9F24>I<
07FFC7FFC007FFC7FFC0003C007800003C007800007800F000007800F000007800F000007800F0
00007800F000007800F00000F001E00000F001E00000F001E00000F001E00000FFFFE00000FFFF
E00001E003C00001E003C00001E003C00001E003C00001E003C00001E003C00003C007800003C0
07800003C007800003C007800003C007800003C007800007C00F80007FFCFFF800FFF8FFF80022
1F7E9E22>I<07FFE007FFE0003C00003C0000780000780000780000780000780000780000F000
00F00000F00000F00000F00000F00001E00001E00001E00001E00001E00001E00003C00003C000
03C00003C00003C00003C00007C000FFFC00FFFC00131F7F9E10>I<07FFF00007FFF000003C00
00003C000000780000007800000078000000780000007800000078000000F0000000F0000000F0
000000F0000000F0000000F0000001E0000001E0000001E0000001E0018001E0018001E0030003
C0030003C0030003C0070003C0060003C00E0003C01E0007C07E007FFFFC00FFFFFC00191F7E9E
1C>76 D<07FC0000FFC007FC0001FFC0003E0001F800003E00037800006E0003F000006E0006F0
00006E0006F000006E000CF0000067000CF00000670018F00000C70019E00000C70031E00000C7
0031E00000C70061E00000C38061E00000C380C1E000018380C3C00001838183C00001838183C0
000181C303C0000181C303C0000181C603C0000301C60780000301CC0780000301CC0780000300
F80780000300F80780000700F00780000F80F00F80007FF0E0FFF800FFF0E1FFF8002A1F7E9E2A
>I<07FC03FFC007FC03FFC0003E007C00003E003800006F003000006F003000006F0030000067
80300000678030000063C0300000C3C0600000C3C0600000C1E0600000C1E0600000C0F0600000
C0F060000180F0C000018078C000018078C00001803CC00001803CC00001803CC00003001F8000
03001F800003000F800003000F800003000F800007000780000F800700007FF0030000FFF00300
00221F7E9E22>I<0003F800001FFE00003C1F0000F0078001E003C003C001E0078001E00F8000
F00F0000F01F0000F01E0000F83E0000F83C0000F87C0000F87C0000F87C0000F87C0000F8F800
01F0F80001F0F80001F0F80001F0F80003E0780003E0780007C07C0007C07C000F803C000F003E
001E001E003C000F00780007C1F00003FFC00000FE00001D217B9F23>I<07FFFF0007FFFFC000
3C03E0003C01F0007800F0007800F8007800F8007800F8007800F8007800F800F001F000F001F0
00F001E000F003C000F00F8000FFFE0001FFF80001E0000001E0000001E0000001E0000001E000
0003C0000003C0000003C0000003C0000003C0000003C0000007C000007FFC0000FFFC00001D1F
7E9E1F>I<07FFFC0007FFFF00003C07C0003C03E0007801E0007801F0007801F0007801F00078
01F0007801E000F003E000F003C000F0078000F01F0000FFFC0000FFF00001E0380001E03C0001
E01C0001E01C0001E01E0001E01E0003C03E0003C03E0003C03E0003C03E0003C03E0603C03E06
07C03E0C7FFC1F18FFFC0FF8000003E01F207E9E21>82 D<003F04007FCC01E0FC03807C03003C
0700380600180E00180E00180E00180E00000F00000F00000FE00007FE0003FF8001FFC0007FE0
0007E00001E00000E00000F00000F06000E06000E06000E06000E07001C0700180F80380FE0F00
C7FC0081F80016217D9F19>I<1FFFFFF81FFFFFF81E03C0F83803C03838078038300780387007
8018600780186007803860078030C00F0030000F0000000F0000000F0000000F0000000F000000
1E0000001E0000001E0000001E0000001E0000001E0000003C0000003C0000003C0000003C0000
003C0000003C0000007C00001FFFF0003FFFF0001D1F7B9E21>I<FFFC7FF8FFFC7FF807800F80
078007000F0006000F0006000F0006000F0006000F0006000F0006001E000C001E000C001E000C
001E000C001E000C001E000C003C0018003C0018003C0018003C0018003C0018003C0018003800
30003800300038003000380060003C00C0001C00C0001E0180000F07000007FC000001F800001D
20799E22>I<FFF07FF83FF0FFF07FF83FF01F000F800F800F000F8007000F000F8006000F000F
8006000F001F800C000F001F800C000F00378018000F00378018000F0063C03000078063C03000
0780C3C060000780C3C06000078183C0E000078183C0C000078383C0C000078303E1800007C701
E1800003C601E3000003C601E3000003CC01E6000003CC01E6000003D801EC000003D801EC0000
03F001F8000001F000F8000001E000F8000001E000F0000001C000F0000001C000E0000001C000
E000002C207A9E2F>87 D<7FF803FF80FFF803FF0007C000F80007C000E00003C000C00003E001
C00001E003800001F003000000F006000000F80E000000F80C00000078180000007C300000003C
700000003E600000001EC00000001F800000000F800000000F000000000F000000000F00000000
0E000000001E000000001E000000001E000000001E000000001E000000001C000000003C000000
03FFE0000007FFE00000211F7B9E22>89 D<03FFFFC003FFFFC003F0078007C00F0007001F0007
001E000E003C000C0078000C00F8000C00F0001801E0000003C00000078000000F8000000F0000
001E0000003C0000007C00000078030000F0030001E0030003E0060003C00600078006000F000E
001F001C001E001C003C007C007801FC00FFFFF800FFFFF8001A1F7D9E1C>I
E /Fm 3 63 df<C0000CE0001C7000383800701C00E00E01C006018007038003870001CE0000FC
0000780000780000FC0001CE000387000703800601800E01C01C00E0380070700038E0001CC000
0C16187A9623>2 D<07E01FF83FFC7FFE7FFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFE7FFE
3FFC1FF807E010127D9317>15 D<FFFFFFF0FFFFFFF00006000000060000000600000006000000
060000000600000006000000060000000600000006000000060000000600000006000000060000
000600000006000000060000000600000006000000060000000600000006000000060000000600
0000060000000600001C1C7D9B23>62 D E /Fn 39 122 df<387CFEFEFE7C3807077C860F>46
D<00700000F0000FF000FFF000F3F00003F00003F00003F00003F00003F00003F00003F00003F0
0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F0
0003F000FFFF80FFFF80111D7C9C1A>49 D<07F0001FFE00383F007C1F80FE0FC0FE0FC0FE0FE0
FE07E07C07E03807E0000FE0000FC0000FC0001F80001F00003E0000780000F00000E00001C060
0380600700600C00E01FFFE01FFFC03FFFC07FFFC0FFFFC0FFFFC0131D7D9C1A>I<01FC0007FF
000E0F801E0FC03F07E03F87E03F87E03F87E01F0FC00E0FC0000F80001F0001FC0001FC00000F
800007C00003E00003F03C03F87E03F8FF03F8FF03F8FF03F8FF03F07E03F07C07E03C0FC00FFF
8003FC00151D7E9C1A>I<0001C00003C00007C00007C0000FC0001FC0003FC00077C00067C000
C7C00187C00387C00707C00E07C00C07C01807C03807C07007C0E007C0FFFFFEFFFFFE000FC000
0FC0000FC0000FC0000FC0000FC001FFFE01FFFE171D7F9C1A>I<387CFEFEFE7C380000000000
00387CFEFEFE7C3807147C930F>58 D<0000E000000000E000000001F000000001F000000001F0
00000003F800000003F800000007FC00000007FC0000000FFE0000000CFE0000000CFE00000018
7F000000187F000000307F800000303F800000703FC00000601FC00000601FC00000C01FE00000
C00FE00001FFFFF00001FFFFF000018007F000030003F800030003F800060003FC00060001FC00
0E0001FE00FFE01FFFE0FFE01FFFE0231F7E9E28>65 D<FFFFFE00FFFFFFC007E007E007E003F0
07E001F807E001FC07E001FC07E001FC07E001FC07E001FC07E001F807E003F807E003F007E00F
E007FFFF8007FFFFE007E003F007E001F807E001FC07E000FC07E000FE07E000FE07E000FE07E0
00FE07E000FE07E000FC07E001FC07E001F807E007F0FFFFFFE0FFFFFF001F1F7E9E25>I<0007
FC02003FFF0E00FE03DE03F000FE07E0003E0FC0001E1F80001E3F00000E3F00000E7F0000067E
0000067E000006FE000000FE000000FE000000FE000000FE000000FE000000FE0000007E000000
7E0000067F0000063F0000063F00000C1F80000C0FC0001807E0003803F0007000FE01C0003FFF
800007FC001F1F7D9E26>I<FFFFFE0000FFFFFFC00007F007F00007F001F80007F000FC0007F0
007E0007F0003F0007F0003F0007F0001F8007F0001F8007F0001F8007F0001FC007F0001FC007
F0001FC007F0001FC007F0001FC007F0001FC007F0001FC007F0001FC007F0001FC007F0001F80
07F0001F8007F0001F8007F0003F0007F0003F0007F0007E0007F000FC0007F001F80007F007F0
00FFFFFFC000FFFFFE0000221F7E9E28>I<FFFFFFE0FFFFFFE007F007E007F001E007F000E007
F0006007F0007007F0003007F0003007F0603007F0603007F0600007F0600007F1E00007FFE000
07FFE00007F1E00007F0600007F0600007F0600C07F0600C07F0000C07F0001807F0001807F000
1807F0003807F0007807F000F807F003F0FFFFFFF0FFFFFFF01E1F7E9E22>I<0007FC0200003F
FF0E0000FE03DE0003F000FE0007E0003E000FC0001E001F80001E003F00000E003F00000E007F
000006007E000006007E00000600FE00000000FE00000000FE00000000FE00000000FE00000000
FE007FFFE0FE007FFFE07E0000FE007E0000FE007F0000FE003F0000FE003F0000FE001F8000FE
000FC000FE0007E000FE0003F001FE0000FE03BE00003FFF1E000007FC0600231F7D9E29>71
D<FFFF80FFFF8007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F0
0007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F0
0007F00007F00007F000FFFF80FFFF80111F7F9E14>73 D<FFF000007FF8FFF80000FFF807F800
00FF0006FC0001BF0006FC0001BF0006FC0001BF00067E00033F00067E00033F00063F00063F00
063F00063F00061F800C3F00061F800C3F00061F800C3F00060FC0183F00060FC0183F000607E0
303F000607E0303F000603F0603F000603F0603F000603F0603F000601F8C03F000601F8C03F00
0600FD803F000600FD803F0006007F003F0006007F003F0006003E003F0006003E003F0006003E
003F00FFF01C07FFF8FFF01C07FFF82D1F7E9E32>77 D<FFF800FFF0FFF800FFF007FC00060007
FE00060007FF00060006FF800600067F800600063FC00600061FE00600060FF00600060FF80600
0607FC06000603FC06000601FE06000600FF060006007F860006007FC60006003FE60006001FE6
0006000FF600060007FE00060003FE00060003FE00060001FE00060000FE000600007E00060000
3E000600001E000600001E00FFF0000E00FFF0000600241F7E9E29>I<001FF80000FFFF0001F8
1F8007E007E00FC003F01F8001F81F0000F83F0000FC7F0000FE7E00007E7E00007EFE00007FFE
00007FFE00007FFE00007FFE00007FFE00007FFE00007FFE00007FFE00007F7E00007E7F0000FE
7F0000FE3F0000FC3F8001FC1F8001F80FC003F007E007E001F81F8000FFFF00001FF800201F7D
9E27>I<FFFFFE00FFFFFF8007F00FE007F003F007F001F807F001F807F001FC07F001FC07F001
FC07F001FC07F001FC07F001F807F001F807F003F007F00FE007FFFF8007FFFE0007F0000007F0
000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007
F00000FFFF8000FFFF80001E1F7E9E24>I<03FC080FFF381E03F83C00F8780078780038F80038
F80018FC0018FC0000FF0000FFF8007FFF007FFFC03FFFE01FFFF00FFFF803FFF8001FFC0001FC
0000FC0000FCC0007CC0007CC0007CE00078E00078F800F0FE01E0E7FFC081FF00161F7D9E1D>
83 D<7FFFFFFC7FFFFFFC7C0FE07C700FE01C600FE00C600FE00CE00FE00EC00FE006C00FE006
C00FE006C00FE006000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE0
00000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE00007FF
FFC007FFFFC01F1E7E9D24>I<FFFF81FFE0FFFF81FFE007F0000C0007F0000C0007F0000C0007
F0000C0007F0000C0007F0000C0007F0000C0007F0000C0007F0000C0007F0000C0007F0000C00
07F0000C0007F0000C0007F0000C0007F0000C0007F0000C0007F0000C0007F0000C0007F0000C
0007F0000C0007F0000C0007F0001C0003F000180003F800380001F800300000FC007000007F03
E000001FFF80000003FC0000231F7E9E28>I<FFFF1FFFC0FFE0FFFF1FFFC0FFE00FE001FC000E
0007F001FC000C0007F001FE000C0007F800FE000C0003F800FE00180003F800FF00180003FC00
FF00380001FC01FF80300001FC01BF80300000FE01BF80600000FE031FC0600000FF031FC0E000
007F031FE0C000007F060FE0C000003F860FE18000003F8E0FF18000003FCC07F18000001FCC07
F30000001FD803FB0000001FF803FF0000000FF803FE0000000FF001FE00000007F001FC000000
07E000FC00000007E000FC00000003E000F800000003C0007800000001C0007000000001800030
0000331F7F9E36>87 D<3FFFFF803FFFFF803F807F803E00FF003801FE003801FE007003FC0070
03F8006007F800600FF000600FF000001FE000003FC000003FC000007F8000007F000000FF0000
01FE000001FE018003FC018007F8018007F801800FF003800FE003801FE003003FC007003FC00F
007F801F00FF007F00FFFFFF00FFFFFF00191F7D9E20>90 D<07FC001FFF003F0F803F07C03F03
E03F03E00C03E00003E001FFE00FFFE03F83E07E03E07C03E0F803E0F803E0F803E0FC07E07E0D
E03FF9FE07E07E17147F9319>97 D<01FE0007FF801F0FC03E0FC03E0FC07C0FC07C0300FC0000
FC0000FC0000FC0000FC0000FC00007C00007E00003E00603F00C01F81C007FF0001FC0013147E
9317>99 D<0007F80007F80000F80000F80000F80000F80000F80000F80000F80000F80000F800
00F801F8F80FFEF81F83F83E01F87E00F87C00F87C00F8FC00F8FC00F8FC00F8FC00F8FC00F8FC
00F87C00F87C00F87E00F83E01F81F07F80FFEFF03F8FF18207E9F1D>I<01FE0007FF801F83E0
3F01F07E00F07E00F8FC00F8FC00F8FFFFF8FFFFF8FC0000FC0000FC00007C00007E00003E0018
3F00380F807007FFE000FF8015147F9318>I<01FC3C07FFFE0F07DE1E03DE3E03E03E03E03E03
E03E03E03E03E01E03C00F07800FFF0019FC001800001800001C00001FFF801FFFF00FFFF83FFF
FC7C007C70003EF0001EF0001EF0001E78003C78003C3F01F80FFFE001FF00171E7F931A>103
D<FF0000FF00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F0F
C01F3FE01F61F01FC0F81F80F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00
F81F00F81F00F81F00F81F00F8FFE3FFFFE3FF18207D9F1D>I<1C003F007F007F007F003F001C
00000000000000000000000000FF00FF001F001F001F001F001F001F001F001F001F001F001F00
1F001F001F001F001F00FFE0FFE00B217EA00E>I<FF00FF001F001F001F001F001F001F001F00
1F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F
001F00FFE0FFE00B207E9F0E>108 D<FE0FE03F80FE3FF0FFC01E70F9C3E01EC07F01F01F807E
01F01F807E01F01F007C01F01F007C01F01F007C01F01F007C01F01F007C01F01F007C01F01F00
7C01F01F007C01F01F007C01F01F007C01F01F007C01F01F007C01F0FFE3FF8FFEFFE3FF8FFE27
147D932C>I<FE0FC0FE3FE01E61F01EC0F81F80F81F00F81F00F81F00F81F00F81F00F81F00F8
1F00F81F00F81F00F81F00F81F00F81F00F81F00F8FFE3FFFFE3FF18147D931D>I<01FF0007FF
C01F83F03E00F83E00F87C007C7C007CFC007EFC007EFC007EFC007EFC007EFC007E7C007C7C00
7C3E00F83E00F81F83F007FFC001FF0017147F931A>I<FF1FC0FF7FF01FE1F81F80FC1F007E1F
007E1F003E1F003F1F003F1F003F1F003F1F003F1F003F1F003E1F007E1F007C1F80FC1FC1F81F
7FE01F1F801F00001F00001F00001F00001F00001F00001F0000FFE000FFE000181D7E931D>I<
FE3E00FE7F801ECFC01F8FC01F8FC01F8FC01F03001F00001F00001F00001F00001F00001F0000
1F00001F00001F00001F00001F0000FFF000FFF00012147E9316>114 D<018001800180038003
80038007800F803F80FFFCFFFC0F800F800F800F800F800F800F800F800F800F800F860F860F86
0F860F8607CC03F801F00F1D7F9C14>116 D<FF07F8FF07F81F00F81F00F81F00F81F00F81F00
F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F01F81F01F80F07F807FEFF03F8
FF18147D931D>I<FFE1FF00FFE1FF000F80700007C0E00007E0C00003E1800001F3800000FF00
00007E0000003E0000003F0000007F8000006F800000C7C0000183E0000381F0000701F8000E00
FC00FF81FF80FF81FF8019147F931C>120 D<FFE07F80FFE07F801F001C000F8018000F801800
07C0300007C0300003E0600003E0600001F0C00001F0C00001F9C00000F9800000FF8000007F00
00007F0000003E0000003E0000001C0000001C0000001800000018000078300000FC300000FC60
0000C0E00000E1C000007F8000001E000000191D7F931C>I E /Fo 56 123
df<00F8F001F8F003F8F00780F00700F00F00F00F00F00F00F00F00F00F00F00F00F00F00F0FF
F8F0FFF8F0FFF8F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F00F
00F00F00F00F00F00F00F00F00F00F00F00F00F01420809F18>13 D<007000E001C00380078007
000E001E001E003C003C003C0078007800780078007000F000F000F000F000F000F000F000F000
F000F000F000F000700078007800780078003C003C003C001E001E000E0007000780038001C000
E000700C2E7EA112>40 D<E000700038001C001E000E0007000780078003C003C003C001E001E0
01E001E000E000F000F000F000F000F000F000F000F000F000F000F000F000E001E001E001E001
E003C003C003C00780078007000E001E001C0038007000E0000C2E7DA112>I<00060000000600
000006000000060000000600000006000000060000000600000006000000060000000600000006
0000000600000006000000060000FFFFFFF0FFFFFFF00006000000060000000600000006000000
060000000600000006000000060000000600000006000000060000000600000006000000060000
000600001C207D9A23>43 D<787878781830306060E0050A7D830D>I<FFC0FFC0FFC00A037F8B
0F>I<03F00007F8001FFE001E1E003C0F00380700780780780780700380F003C0F003C0F003C0
F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0780780780780
7807803807003C0F001E1E001FFE000FFC0003F00012207E9E17>48 D<00C001C00FC0FFC0FFC0
F3C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003
C003C003C003C0FFFEFFFEFFFE0F1F7C9E17>I<F0F0F0F0000000000000000000000000F0F0F0
F004147C930D>58 D<FFFFFFF0FFFFFFF000000000000000000000000000000000000000000000
00000000000000000000FFFFFFF0FFFFFFF01C0C7D9023>61 D<001F0000001F0000003F800000
3B8000003B8000007BC0000073C0000071C00000F1E00000E1E00000E0E00001E0F00001E0F000
01C0F00003C0780003C078000380780007803C0007803C0007003C000FFFFE000FFFFE000FFFFE
001E000F001E000F003C000F803C0007803C000780780007C0780003C0780003C0F00003E01B20
7F9F1E>65 D<FFF800FFFF00FFFF80F00FC0F003E0F001E0F000F0F000F0F000F0F000F0F000F0
F001E0F003C0F01F80FFFF00FFFF00FFFF80F007E0F001E0F000F0F00078F00078F00078F00078
F00078F00078F000F0F001F0F007E0FFFFC0FFFF80FFFC0015207B9F1E>I<001FC000FFF801FF
FC03E03C07800C0F00001E00003E00003C00007C0000780000780000780000F00000F00000F000
00F00000F00000F00000F00000F000007800007800007800007C00003C00003E00001E00000F00
0207800E03E03E01FFFC00FFF0001FC017227DA01D>I<FFFC00FFFF80FFFFC0F007E0F001F0F0
00F8F00078F0003CF0003CF0001EF0001EF0000EF0000FF0000FF0000FF0000FF0000FF0000FF0
000FF0000FF0000FF0001EF0001EF0001EF0003CF0007CF000F8F001F0F007E0FFFFC0FFFF80FF
FC0018207B9F21>I<FFFFC0FFFFC0FFFFC0F00000F00000F00000F00000F00000F00000F00000
F00000F00000F00000F00000FFFF80FFFF80FFFF80F00000F00000F00000F00000F00000F00000
F00000F00000F00000F00000F00000F00000FFFFE0FFFFE0FFFFE013207B9F1B>I<FFFFC0FFFF
C0FFFFC0F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000FFFF
00FFFF00FFFF00F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F000
00F00000F00000F00000F0000012207B9F1A>I<001FE000FFF801FFFE03E03E07800E0F00001E
00003E00003C00007C0000780000780000780000F00000F00000F00000F00000F00000F00000F0
03FEF003FE7803FE78001E78001E7C001E3C001E3E001E1E001E0F001E07801E03E03E01FFFE00
FFF8001FC017227DA01E>I<F00078F00078F00078F00078F00078F00078F00078F00078F00078
F00078F00078F00078F00078F00078FFFFF8FFFFF8FFFFF8F00078F00078F00078F00078F00078
F00078F00078F00078F00078F00078F00078F00078F00078F00078F0007815207B9F20>I<F0F0
F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F004207C9F0D>I<F000
3EF0007CF000F8F001F0F003E0F007C0F00780F00F00F01F00F03E00F07C00F0F800F1F000F3F8
00F3F800F7FC00FFBC00FF1E00FE1F00FC0F00F80780F00780F003C0F003E0F001E0F000F0F000
F8F00078F0003CF0003CF0001EF0001F18207B9F20>75 D<F00000F00000F00000F00000F00000
F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000
F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000FFFF80FFFF80
FFFF8011207B9F19>I<F80001F8FC0003F8FC0003F8F4000378F6000778F6000778F6000778F7
000F78F3000E78F3000E78F3801E78F3801E78F1801C78F1C03C78F1C03C78F1C03C78F0C03878
F0E07878F0E07878F0607078F070F078F070F078F030E078F039E078F039E078F019C078F019C0
78F019C078F00F8078F00F8078F00F8078F00000781D207B9F28>I<FC0078FE0078FE0078F600
78F70078F70078F38078F38078F38078F3C078F1C078F1E078F1E078F0E078F0F078F07078F070
78F07878F03878F03C78F03C78F01C78F01E78F00E78F00E78F00E78F00778F00778F00378F003
F8F003F8F001F815207B9F20>I<003F000000FFC00003FFF00007E1F8000F807C001F003E001E
001E003C000F003C000F00780007807800078078000780F00003C0F00003C0F00003C0F00003C0
F00003C0F00003C0F00003C0F00003C0F00003C0F80007C07800078078000780780007803C000F
003C000F001E001E001F003E000F807C0007E1F80003FFF00000FFC000003F00001A227DA021>
I<FFF800FFFF00FFFF80F00FC0F003E0F001E0F000F0F000F0F000F0F000F0F000F0F000F0F000
F0F001E0F003E0F00FC0FFFF80FFFF00FFF800F00000F00000F00000F00000F00000F00000F000
00F00000F00000F00000F00000F00000F0000014207B9F1D>I<FFF800FFFF00FFFF80F007C0F0
03E0F001E0F000F0F000F0F000F0F000F0F000F0F001E0F003E0F007C0FFFF80FFFF00FFF800F0
3C00F01E00F01E00F00F00F00F00F00780F00780F003C0F001C0F001E0F000F0F000F0F00078F0
0078F0003C16207B9F1D>82 D<01FC0007FF800FFFC01F03C03C00C03C00007800007800007800
007800007800007C00003C00003F00001FE0000FFC0007FE0001FF00003F800007C00003C00003
E00001E00001E00001E00001E00001E00001C0C003C0F007C0FC0F807FFF001FFE0003F8001322
7EA019>I<FFFFFFC0FFFFFFC0FFFFFFC0001E0000001E0000001E0000001E0000001E0000001E
0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E000000
1E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000
001E0000001E0000001E0000001E00001A207E9F1F>I<F000F0F000F0F000F0F000F0F000F0F0
00F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F000F0F0
00F0F000F0F000F0F000F0F000F0F000F0F000F07801E07801E03C03C03C03C01F0F800FFF0007
FE0001F80014217B9F1F>I<F00001E0F00001E0780003C0780003C0780003C03C0007803C0007
803C0007801E000F001E000F001F000F000F001E000F001E0007801C0007803C0007803C0003C0
380003C0780003C0780001E0700001E0F00001E0F00000F0E00000F1E00000F1E0000071C00000
7BC000003B8000003B8000003F8000001F0000001F00001B207F9F1E>I<F0007C000FF0007E00
0FF0007E000F78006E000E7800EE001E7800E7001E7800E7001E3C00E7003C3C01E7803C3C01C7
803C3C01C3803C1E01C380781E03C3C0781E0383C0780E0381C0700F0381C0F00F0781E0F00F07
01E0F0070700E0E0078700E1E0078F00F1E0078E00F1E0038E0071C0038E0071C003CE0073C001
DC007B8001DC003B8001DC003B8001DC003B8000F8003F0000F8001F0000F8001F0028207F9F2B
>I<780007807C000F003E001F001E001E000F003C000F807C000780780003C0F00003E1F00001
F1E00000F3C000007FC000007F8000003F0000001F0000001E0000003F0000007F8000007FC000
00F3C00001F1E00001E0F00003C0F80007C0780007803C000F003E001F001E001E000F003C000F
807C0007C0780003C0F00003E01B207F9F1E>I<F80000F87C0001F03C0001E03E0003E01F0003
C00F0007800F800F8007C00F0003C01F0003E01E0001F03C0000F07C00007878000078F000003C
F000001DE000001FE000000FC00000078000000780000007800000078000000780000007800000
078000000780000007800000078000000780000007800000078000000780001D20809F1E>I<07
E03FF87FFC701E401F000F000F000F003F07FF1FFF7E0FF80FF00FF00FF00FF83F7FFF3FEF1F8F
10147E9316>97 D<F00000F00000F00000F00000F00000F00000F00000F00000F00000F00000F0
0000F00000F1F000F7FC00FFFE00FC3E00F80F00F00F00F00780F00780F00780F00780F00780F0
0780F00780F00F00F00F00F81F00FC3E00FFFC00F7F800F1E00011207D9F17>I<03F00FFC1FFE
3E0E3C0278007800F000F000F000F000F000F000780078003C013E0F1FFF0FFE03F010147E9314
>I<00078000078000078000078000078000078000078000078000078000078000078000078007
C7800FF7801FFF803E1F807C0780780780F80780F00780F00780F00780F00780F00780F00780F0
0780780780780F803E1F801FFF800FF78007C78011207E9F17>I<03F0000FFC001FFE003E1F00
3C0700780700700380FFFF80FFFF80FFFF80F00000F00000F000007000007800003C01003E0700
1FFF0007FE0001F80011147F9314>I<007E01FE03FE078007000F000F000F000F000F000F000F
00FFF0FFF0FFF00F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F00
0F000F20809F0E>I<03E0F00FFFF01FFFF03E3E003C1E00780F00780F00780F00780F00780F00
3C1E003E3E001FFC003FF80033E0003000003800003FFE003FFF801FFFC03FFFE07803F0F000F0
F000F0F000F0F801F07E07E03FFFC00FFF0003FC00141E7F9317>I<F000F000F000F000F000F0
00F000F000F000F000F000F000F1F8F3FCF7FEFC1FF80FF80FF00FF00FF00FF00FF00FF00FF00F
F00FF00FF00FF00FF00FF00FF00F10207D9F17>I<F0F0F0F00000000000000000F0F0F0F0F0F0
F0F0F0F0F0F0F0F0F0F0F0F0F0F004207D9F0B>I<F00000F00000F00000F00000F00000F00000
F00000F00000F00000F00000F00000F00000F01F00F01E00F03C00F07800F0F000F1E000F3C000
F78000FFC000FFC000FFE000F9F000F8F000F0F800F07C00F07C00F03E00F01E00F01F00F00F80
11207D9F16>107 D<F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
F0F004207D9F0B>I<F0FC07E0F3FE1FF0F7FF3FF8FE0FF07CF807C03CF807C03CF007803CF007
803CF007803CF007803CF007803CF007803CF007803CF007803CF007803CF007803CF007803CF0
07803CF007803CF007803C1E147D9327>I<F1F8F3FCF7FEFC1FF80FF80FF00FF00FF00FF00FF0
0FF00FF00FF00FF00FF00FF00FF00FF00FF00F10147D9317>I<01F80007FE001FFF803F0FC03C
03C07801E07801E0F000F0F000F0F000F0F000F0F000F0F000F07801E07801E03C03C03F0FC01F
FF8007FE0001F80014147F9317>I<F1F000F7FC00FFFE00FC3E00F81F00F00F00F00F80F00780
F00780F00780F00780F00780F00780F00F00F00F00F81F00FC3E00FFFC00F7F800F1E000F00000
F00000F00000F00000F00000F00000F00000F00000F00000111D7D9317>I<F0E0F3E0F7E0FF00
FC00FC00F800F800F000F000F000F000F000F000F000F000F000F000F000F0000B147D9310>
114 D<07F01FFC3FFC780C7800780078007C003FC01FF00FF803F8007C003C003CC03CF07CFFF8
7FF00FC00E147F9311>I<1E001E001E001E001E001E00FFF0FFF0FFF01E001E001E001E001E00
1E001E001E001E001E001E001E001E001E201FF00FF007C00C1A7F9910>I<F00FF00FF00FF00F
F00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF01FF03FFFFF7FEF3F0F10147D9317>I<
F003C0F003C07803807807807807803C0F003C0F003C0F001E0E001E1E001E1E000F1C000F3C00
0F3C0007380007380007B80003F00003F00001E00012147F9315>I<F01F00F0F01F80F0F01F80
F0781B81E0783B81E0783BC1E07839C1E03C31C3C03C71C3C03C71E3C01C70E3801E60E7801E60
E7801EE0E7800EE077000EC077000EC0770007C07E0007C03E0007803E001C147F931F>I<F003
C0F003C07807807807807C07803C0F003C0F001E0F001E1E000E1E000F1C000F1C00073C000738
0003B80003B80003B00001F00001F00000E00000E00001C00001C00003C0000380000780007F00
007E00007C0000121D7F9315>121 D<7FFF7FFF7FFF003E003C007800F800F001E003E007C007
800F001F001E003C007C00FFFFFFFFFFFF10147F9314>I E /Fp 29 123
df<7FF0FFE0FFE00C037D8A10>45 D<70F8F8F0E005057B840E>I<000007000000070000000F00
00000F0000001F0000003F0000003F0000006F0000006F000000CF000000CF0000018F0000038F
0000030F0000060F0000060F00000C0F80000C07800018078000180780003FFF80007FFF800060
078000C0078000C00780018007800180078003000780070007800F0007807FC07FF8FFC07FF81D
207E9F22>65 D<01FFFFFE01FFFFFC001E003C001E001C001E001C003C000C003C000C003C000C
003C001800780C1800780C1800780C0000781C0000F0380000FFF80000FFF80000F0380001E030
0001E0300001E0303001E0306003C0006003C0006003C000C003C001C007800180078003800780
070007801F00FFFFFF00FFFFFE001F1F7D9E1F>69 D<01FF0000FFC001FF0000FFC0001F0001F8
00001F0001F800001F0003780000370003F00000370006F0000037000CF0000037000CF0000067
0019E00000638019E00000638031E00000638031E00000C38063C00000C380C3C00000C380C3C0
0000C38183C00001838187800001838307800001838307800001838607800003038C0F00000303
8C0F00000303980F00000301D80F00000601F01E00000601F01E00000601E01E00000E01C01E00
00FFE1C3FFE000FFC183FFC0002A1F7D9E29>77 D<01FFFF0001FFFFC0001E01E0001E00F0001E
0078003C0078003C0078003C0078003C0078007800F0007800F0007801E0007803C000F00F0000
FFFE0000FFF80000F03C0001E01E0001E00E0001E00F0001E00F0003C01E0003C01E0003C01E00
03C01E0007803C0007803C1807803C1807803C30FFF81E30FFF00FE0000007C01D207D9E21>82
D<00F18003FDC0078F800E07801C07803C07803C0700780700780700780700F00E00F00E00F00E
00F00E30F01C60F03C60707C6078FCC03FCFC00F078014147C9317>97 D<07803F803F00070007
0007000E000E000E000E001C001C001CF01FFC3F1E3E0E3C0F380F700F700F700F700FE01EE01E
E01EE03CE03CE038607071E03FC01F0010207B9F15>I<007E0001FF000383800F07801E07801C
07003C0200780000780000780000F00000F00000F00000F00000F00000700200700700381E001F
F80007E00011147C9315>I<0000780003F80003F00000700000700000700000E00000E00000E0
0000E00001C00001C000F1C003FDC0078F800E07801C07803C07803C0700780700780700780700
F00E00F00E00F00E00F00E30F01C60F03C60707C6078FCC03FCFC00F078015207C9F17>I<007C
0001FF000783000F01801E01803C01803C0300780E007FFC007FE000F00000F00000F00000F000
007000007002007807003C1E001FF80007E00011147C9315>I<0000F80001FC0003BC00033C00
0718000700000700000E00000E00000E00000E00000E0001FFE001FFE0001C00001C00001C0000
380000380000380000380000380000700000700000700000700000700000700000E00000E00000
E00000E00001C00001C00001C0000180003380007B8000F300007E00003C00001629829F0E>I<
003C6000FF7001E3E00381E00701E00F01E00F01C01E01C01E01C01E01C03C03803C03803C0380
3C03803C07003C0F001C1F001E3F000FFE0003CE00000E00000E00001C00001C00301C00783800
F0F0007FE0003F8000141D7E9315>I<01E0000FE0000FC00001C00001C00001C0000380000380
00038000038000070000070000073E00077F000EC3800F81C00F01C00E01C01E03801C03801C03
801C0380380700380700380700380E18700E30700E30701C60700C60E00FC060078015207D9F17
>I<006000F000F000E000000000000000000000000000000F001F80318031C063806380C38007
00070007000E000E000E001C301C601C6038C018C01F800F000C1F7D9E0E>I<01E0000FE0000F
C00001C00001C00001C0000380000380000380000380000700000700000703C00707E00E0C600E
10E00E21E00E61E01CC1C01F80001F00001FC00039E0003870003870003838607070C07070C070
70C0703180E03F00601E0013207D9F15>107 D<03C01FC01F8003800380038007000700070007
000E000E000E000E001C001C001C001C0038003800380038007000700070007180E300E300E300
E6007E003C000A207C9F0C>I<1E07C0F8003F1FE1FC0033B8730E0063E076070063C03C070063
80380700C780780E000700700E000700700E000700700E000E00E01C000E00E01C000E00E01C00
0E00E038601C01C038C01C01C038C01C01C071801C01C031803803803F001801801E0023147D93
25>I<1E07C03F1FE033B87063E07063C038638038C780700700700700700700700E00E00E00E0
0E00E00E01C31C01C61C01C61C038C1C018C3801F81800F018147D931A>I<007C0001FF000383
800F01C01E01C01C01E03C01E07801E07801E07801E0F003C0F003C0F003C0F00780F00700700F
00701E003838001FF00007C00013147C9317>I<03C1E007E7F8067E3C0C7C1C0C781E0C701E18
E01E00E01E00E01E00E01E01C03C01C03C01C03C01C07803C07803C07003C0E003E3C0077F8007
1E000700000700000E00000E00000E00000E00001C0000FFC000FFC000171D809317>I<1E0F00
3F3F8033F1C063C1C063C3C06383C0C783800700000700000700000E00000E00000E00000E0000
1C00001C00001C00001C000038000018000012147D9313>114 D<00FC03FE07070E0F0E0F0E0E
1E000F800FF007F803FC003E001E701EF01CF01CE03860703FE01F8010147D9313>I<018001C0
038003800380038007000700FFF0FFF00E000E000E000E001C001C001C001C0038003800380038
307060706070C071803F001E000C1C7C9B0F>I<0F00601F80703180E031C0E06380E06380E0C3
81C00701C00701C00701C00E03800E03800E03800E038C0E07180E07180E0F180E1F3007F3F003
E1E016147D9318>I<0F01C01F83C03183E031C1E06380E06380E0C380C00700C00700C00700C0
0E01800E01800E01800E03000E03000E06000E06000F0C0007F80001E00013147D9315>I<0F00
60E01F8071E03180E1F031C0E0F06380E0706380E070C381C0600701C0600701C0600701C0600E
0380C00E0380C00E0380C00E0381800E0381800E0781000E078300070F860007F9FC0001F0F800
1C147D931E>I<0F00601F80703180E031C0E06380E06380E0C381C00701C00701C00701C00E03
800E03800E03800E03800E07000E07000E0F000E1F0007FE0003EE00000E00000E00001C00781C
0078380070700060E0003FC0001F0000141D7D9316>121 D<00E06003F0C007FFC00E1F800C03
00000600000C0000180000300000600000C0000180000300000600C00C01801801803F87007FFE
0060FC00C0780013147E9313>I E /Fq 65 123 df<70F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8
70000000000070F8F8F870051C779B18>33 D<007000F001F003C007800F001E001C003C003800
780070007000F000E000E000E000E000E000E000E000E000F00070007000780038003C001C001E
000F00078003C001F000F000700C24799F18>40 D<6000F00078003C001E000F000780038003C0
01C001E000E000E000F00070007000700070007000700070007000F000E000E001E001C003C003
8007800F001E003C007800F00060000C247C9F18>I<01C00001C00001C00001C000C1C180F1C7
80F9CF807FFF001FFC0007F00007F0001FFC007FFF00F9CF80F1C780C1C18001C00001C00001C0
0001C00011147D9718>I<00600000F00000F00000F00000F00000F00000F00000F0007FFFC0FF
FFE0FFFFE07FFFC000F00000F00000F00000F00000F00000F00000F00000600013147E9718>I<
3C7E7F7F7F3F0F0E1E7CF870080C788518>I<7FFF00FFFF80FFFF807FFF0011047D8F18>I<78FC
FCFCFC780606778518>I<000300000780000F80000F80000F00001F00001F00003E00003E0000
3C00007C00007C0000F80000F80000F00001F00001F00003E00003E00007C00007C0000780000F
80000F80001F00001F00001E00003E00003E00007C00007C0000780000F80000F80000F0000060
000011247D9F18>I<01F00007FC000FFE001F1F001C07003803807803C07001C07001C0E000E0
E000E0E000E0E000E0E000E0E000E0E000E0E000E0E000E0F001E07001C07001C07803C0380380
1C07001F1F000FFE0007FC0001F000131C7E9B18>I<01800380078007800F803F80FF80FB8063
8003800380038003800380038003800380038003800380038003800380038003807FFCFFFE7FFC
0F1C7B9B18>I<07F8001FFE003FFF007C0F807003C0F001E0F000E0F000E0F000E00000E00000
E00001E00001C00003C0000780000F00001E00003C0000780000F00003E00007C0000F80001E00
E03C00E07FFFE0FFFFE07FFFE0131C7E9B18>I<001F00003F00007F0000770000F70001E70001
C70003C7000787000707000E07001E07003C0700380700780700F00700FFFFF8FFFFF8FFFFF800
0700000700000700000700000700000700007FF000FFF8007FF0151C7F9B18>52
D<000300000F80001F80003F0000FE0001FC0003F00007E0001FC0003F80007E0000FC0000FC00
007E00003F80001FC00007E00003F00001FC0000FE00003F00001F80000F8000030011187D9918
>60 D<7FFFC0FFFFE0FFFFE0FFFFE0000000000000000000000000FFFFE0FFFFE0FFFFE07FFFC0
130C7E9318>I<600000F80000FC00007E00003F80001FC00007E00003F00001FC0000FE00003F
00001F80001F80003F0000FE0001FC0003F00007E0001FC0003F80007E0000FC0000F800006000
0011187D9918>I<00700000F80000F80000D80000D80001DC0001DC0001DC00018C00038E0003
8E00038E00038E000306000707000707000707000707000FFF800FFF800FFF800E03800E03801C
01C01C01C07F07F0FF8FF87F07F0151C7F9B18>65 D<FFFC00FFFF00FFFF801C03C01C01C01C00
E01C00E01C00E01C00E01C01E01C01C01C07C01FFF801FFF001FFFC01C03C01C00E01C00F01C00
701C00701C00701C00701C00F01C00E01C03E0FFFFC0FFFF80FFFE00141C7F9B18>I<01FCE003
FEE007FFE00F07E01E03E03C01E07800E07000E07000E0F00000E00000E00000E00000E00000E0
0000E00000E00000E00000F000007000E07000E07800E03C01E01E01C00F07C007FF8003FF0001
FC00131C7E9B18>I<7FF800FFFE007FFF001C0F801C03C01C03C01C01E01C00E01C00E01C00F0
1C00701C00701C00701C00701C00701C00701C00701C00701C00F01C00E01C00E01C01E01C01C0
1C03C01C0F807FFF00FFFE007FF800141C7F9B18>I<FFFFF0FFFFF0FFFFF01C00701C00701C00
701C00701C00001C00001C0E001C0E001C0E001FFE001FFE001FFE001C0E001C0E001C0E001C00
001C00001C00381C00381C00381C00381C0038FFFFF8FFFFF8FFFFF8151C7F9B18>I<FFFFE0FF
FFE0FFFFE01C00E01C00E01C00E01C00E01C00001C00001C1C001C1C001C1C001FFC001FFC001F
FC001C1C001C1C001C1C001C00001C00001C00001C00001C00001C00001C0000FFC000FFC000FF
C000131C7E9B18>I<01F9C007FFC00FFFC01F0FC01C03C03C03C07801C07001C07001C0F00000
E00000E00000E00000E00000E00000E00FF0E01FF0E00FF0F001C07001C07003C07803C03C03C0
1C07C01F0FC00FFFC007FDC001F9C0141C7E9B18>I<7FFF00FFFF807FFF0001C00001C00001C0
0001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C0
0001C00001C00001C00001C00001C00001C0007FFF00FFFF807FFF00111C7D9B18>73
D<7F07F0FF87F87F07F01C03C01C07801C07001C0F001C1E001C3C001C38001C78001CF0001DF0
001DF8001FF8001FBC001F1C001E1E001E0E001C0F001C07001C07801C03801C03C01C01C07F03
F0FF87F87F03F0151C7F9B18>75 D<7FE000FFE0007FE0000E00000E00000E00000E00000E0000
0E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E0070
0E00700E00700E00700E00707FFFF0FFFFF07FFFF0141C7F9B18>I<FC01F8FE03F8FE03F83B06
E03B06E03B06E03B06E03B8EE03B8EE0398CE0398CE039DCE039DCE039DCE038D8E038D8E038F8
E03870E03870E03800E03800E03800E03800E03800E03800E0FE03F8FE03F8FE03F8151C7F9B18
>I<7E07F0FF0FF87F07F01D81C01D81C01D81C01DC1C01CC1C01CC1C01CE1C01CE1C01CE1C01C
61C01C71C01C71C01C31C01C39C01C39C01C39C01C19C01C19C01C1DC01C0DC01C0DC01C0DC07F
07C0FF87C07F03C0151C7F9B18>I<0FF8003FFE007FFF00780F00700700F00780E00380E00380
E00380E00380E00380E00380E00380E00380E00380E00380E00380E00380E00380E00380E00380
E00380F00780700700780F007FFF003FFE000FF800111C7D9B18>I<FFFE00FFFF80FFFFC01C03
C01C01E01C00E01C00701C00701C00701C00701C00701C00E01C01E01C03C01FFFC01FFF801FFE
001C00001C00001C00001C00001C00001C00001C00001C0000FF8000FF8000FF8000141C7F9B18
>I<7FF800FFFE007FFF001C0F801C03801C03C01C01C01C01C01C01C01C03C01C03801C0F801F
FF001FFE001FFE001C0F001C07801C03801C03801C03801C03801C03801C039C1C039C1C039C7F
03FCFF81F87F00F0161C7F9B18>82 D<07F3801FFF803FFF807C1F80700780F00380E00380E003
80E00000F000007800003F00001FF0000FFE0001FF00001F800003C00001E00000E00000E06000
E0E000E0E001E0F001C0FC07C0FFFF80FFFF00E7FC00131C7E9B18>I<7FFFF8FFFFF8FFFFF8E0
7038E07038E07038E0703800700000700000700000700000700000700000700000700000700000
700000700000700000700000700000700000700000700000700007FF0007FF0007FF00151C7F9B
18>I<FF83FEFF83FEFF83FE1C00701C00701C00701C00701C00701C00701C00701C00701C0070
1C00701C00701C00701C00701C00701C00701C00701C00701C00701E00F00E00E00F01E007C7C0
03FF8001FF00007C00171C809B18>I<FF07F8FF07F8FF07F81C01C01C01C01C01C01C01C00E03
800E03800E03800E03800F0780070700070700070700070700038E00038E00038E00038E00018C
0001DC0001DC0001DC0000D80000F80000F800007000151C7F9B18>I<FE03F8FE03F8FE03F870
00707000707000703800E03800E03800E03800E03800E038F8E038F8E039DCE039DCE019DCC019
DCC019DCC0198CC01D8DC01D8DC01D8DC01D8DC00D8D800D05800F07800F07800E0380151C7F9B
18>I<7F8FE07F9FE07F8FE00E07000F0700070E00078E00039C0003DC0001F80001F80000F000
00F00000700000F00000F80001F80001DC00039E00038E00070F000707000E07800E03801E03C0
7F07F0FF8FF87F07F0151C7F9B18>I<FF07F8FF07F8FF07F81C01C01E03C00E03800F07800707
00070700038E00038E0001DC0001DC0001FC0000F80000F8000070000070000070000070000070
0000700000700000700000700001FC0003FE0001FC00151C7F9B18>I<3FFFE07FFFE07FFFE070
01C07003C0700780700700000F00001E00001C00003C0000780000700000F00001E00001C00003
C0000780000700000F00001E00E01C00E03C00E07800E07000E0FFFFE0FFFFE0FFFFE0131C7E9B
18>I<7FFF00FFFF80FFFF807FFF0011047D7F18>95 D<1FE0003FF8007FFC00783E00300F0000
070000070001FF000FFF003FFF007F0700780700F00700E00700E00700F00F00783F007FFFF03F
FBF00FE1F014147D9318>97 D<7E0000FE00007E00000E00000E00000E00000E00000E00000E3E
000EFF800FFFC00FE3E00F80F00F00700F00780E00380E00380E00380E00380E00380F00380F00
780F00700F80F00FC3E00FFFC00EFF80067E00151C809B18>I<01FE0007FF001FFF803F07803C
0300780000700000F00000E00000E00000E00000E00000F000007000007801C03C01C03F07C01F
FF8007FF0001FC0012147D9318>I<001F80003F80001F80000380000380000380000380000380
03F3800FFB801FFF803E1F80780F80700780F00780E00380E00380E00380E00380E00380E00780
F00780700780780F803E3F801FFFF00FFBF803E3F0151C7E9B18>I<03F0000FFC001FFE003E1F
00780780700380F003C0E001C0E001C0FFFFC0FFFFC0FFFFC0F000007000007801C03C01C03F07
C01FFF8007FF0001FC0012147D9318>I<001FC0007FE000FFE001F1E001C0C001C00001C00001
C0007FFFC0FFFFC0FFFFC001C00001C00001C00001C00001C00001C00001C00001C00001C00001
C00001C00001C00001C00001C0007FFF007FFF007FFF00131C7F9B18>I<03F1F007FFF80FFFF8
1E1F303C0F003807003807003807003807003807003C0F001E1E001FFC003FF8003BF000380000
3C00001FFF001FFFC03FFFE07801F0F00078E00038E00038E00038F000787800F07E03F03FFFE0
0FFF8003FE00151F7F9318>I<7E0000FE00007E00000E00000E00000E00000E00000E00000E3F
000EFF800FFFC00FE1E00F80E00F00E00F00E00E00E00E00E00E00E00E00E00E00E00E00E00E00
E00E00E00E00E00E00E07FC3FCFFE7FE7FC3FC171C809B18>I<03800007C00007C00007C00003
80000000000000000000000000007FC000FFC0007FC00001C00001C00001C00001C00001C00001
C00001C00001C00001C00001C00001C00001C00001C00001C000FFFF00FFFF80FFFF00111D7C9C
18>I<0038007C007C007C003800000000000000000FFC1FFC0FFC001C001C001C001C001C001C
001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C003C6038F078FFF07F
E03FC00E277E9C18>I<FE0000FE0000FE00000E00000E00000E00000E00000E00000E3FF00E7F
F00E3FF00E07800E0F000E1E000E3C000E78000EF0000FF8000FFC000F9C000F1E000E0F000E07
800E03800E03C0FFC7F8FFC7F8FFC7F8151C7F9B18>I<7FE000FFE0007FE00000E00000E00000
E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000
E00000E00000E00000E00000E00000E00000E0007FFFC0FFFFE07FFFC0131C7E9B18>I<7DF1F0
00FFFBF8007FFFFC001F1F1C001E1E1C001E1E1C001C1C1C001C1C1C001C1C1C001C1C1C001C1C
1C001C1C1C001C1C1C001C1C1C001C1C1C001C1C1C001C1C1C007F1F1F00FFBFBF807F1F1F0019
14819318>I<7E3F00FEFF807FFFC00FE1E00F80E00F00E00F00E00E00E00E00E00E00E00E00E0
0E00E00E00E00E00E00E00E00E00E00E00E07FC3FCFFE7FE7FC3FC1714809318>I<01F0000FFE
001FFF003E0F803803807001C07001C0E000E0E000E0E000E0E000E0E000E0F001E07001C07803
C03C07803E0F801FFF000FFE0001F00013147E9318>I<7E3E00FEFF807FFFC00FE3E00F80F00F
00700F00780E00380E00380E00380E00380E00380F00380F00780F00700F80F00FC3E00FFFC00E
FF800E7E000E00000E00000E00000E00000E00000E00000E00007FC000FFE0007FC000151E8093
18>I<7F87E0FF9FF87FBFF803FC7803F03003E00003C00003C00003C000038000038000038000
0380000380000380000380000380007FFE00FFFF007FFE0015147F9318>114
D<0FF7003FFF007FFF00F81F00E00700E00700F007007C00007FF0001FFC0007FE00001F006007
80E00380F00380F00780FC0F00FFFF00FFFE00E7F80011147D9318>I<01800003800003800003
80000380007FFFC0FFFFC0FFFFC003800003800003800003800003800003800003800003800003
80000380400380E00380E00381E003C3C001FFC000FF80007E0013197F9818>I<7E07E0FE0FE0
7E07E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E0
0E01E00F07E007FFFC03FFFE01FCFC1714809318>I<7F8FF0FF8FF87F8FF01E03C00E03800E03
800E0380070700070700070700038E00038E00038E00038E0001DC0001DC0001DC0000F80000F8
0000700015147F9318>I<FF8FF8FF8FF8FF8FF83800E03800E03800E01C01C01C01C01C71C01C
F9C01CF9C01CD9C01CD9C00DDD800DDD800DDD800D8D800F8F800F8F8007070015147F9318>I<
7F8FF07F9FF07F8FF0070700078E00039E0001DC0001F80000F80000700000F00000F80001DC00
039E00038E000707000F07807F8FF0FF8FF87F8FF015147F9318>I<7F8FF0FF8FF87F8FF00E01
C00E03800E0380070380070700070700038700038600038E0001CE0001CE0000CC0000CC0000DC
0000780000780000780000700000700000700000F00000E00079E0007BC0007F80003F00001E00
00151E7F9318>I<3FFFF07FFFF07FFFF07001E07003C0700780000F00001E00007C0000F80001
F00003E0000780000F00701E00703C0070780070FFFFF0FFFFF0FFFFF014147F9318>I
E /Fr 35 123 df<F8F8F8F8F805057B8410>46 D<00180000380000F80007F800FFF800FFF800
FFF800F8F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F800
00F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F800
00F80000F80000F80000F8007FFFF07FFFF07FFFF07FFFF014287CA71D>49
D<00FE0003FF800FFFC01FFFE01F07F03C01F87800FC78007C70007CF0003EF0003E60003E2000
3E00003E00003E00003E00007C00007C0000780000F80001F00001E00003E00007C0000F80001F
00003E00007C0000F80001F00003E00003C0000780000F00001E00003C00007FFFFE7FFFFE7FFF
FE7FFFFE17287EA71D>I<007E0003FF8007FFE00FFFF01F81F83E00F87C007C78007C30007C10
007C00007C00007C0000780000F80000F80001F00007E000FFC000FF8000FFC000FFF00001F800
00FC00007C00003E00003E00001F00001F00001F00001F00001F80001FC0003EE0003EF0007E7C
00FC3F01F81FFFF00FFFE003FFC000FE0018297EA71D>I<0007E0000FE0000BE0001BE0001BE0
003BE0003BE00073E00073E000F3E000F3E001E3E001E3E003E3E003C3E007C3E00F83E00F83E0
1F03E01F03E03E03E03E03E07C03E07C03E0F803E0FFFFFFFFFFFFFFFFFFFFFFFF0003E00003E0
0003E00003E00003E00003E00003E00003E00003E00003E018277EA61D>I<3FFFF83FFFF83FFF
F83FFFF83E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E3E003EFF
803FFFE03FFFF03FC1F03F80F83F007C3E007C00007C00003E00003E00003E00003E00003E0000
3E00003E20003E60007C70007CF800F87C01F87F07F03FFFE00FFFC007FF0001FC0017287EA61D
>I<000FE0003FF800FFF801FFF803F81807E0000F80000F80001F00003E00003E00003C00007C
00007C02007C3FC0F8FFE0F9FFF0FBFFF8FF80FCFE007CFE003EFC003EFC003FFC001FF8001FF8
001FF8001FF8001F78001F7C001F7C001F7C001E3C003E3E003E1E007C1F00FC0FC1F807FFF003
FFE001FF80007E0018297EA71D>I<0003F000000003F000000007F800000007F8000000077800
00000F7C0000000F3C0000000F3C0000001F3E0000001E3E0000001E1E0000003E1F0000003C1F
0000007C0F8000007C0F800000780F800000F807C00000F807C00000F007C00001F003E00001F0
03E00001E003E00003E001F00003E001F00003C001F00007C000F80007FFFFF80007FFFFF8000F
FFFFFC000FFFFFFC000F00007C001F00003E001F00003E001E00003E003E00001F003E00001F00
3C00001F007C00000F807C00000F80F800000FC0F8000007C0F8000007C0222A7EA927>65
D<0003FE00000FFFC0003FFFF000FFFFF001FE03F003F8006007E0002007C000000F8000001F80
00001F0000003E0000003E0000007C0000007C0000007C0000007C000000F8000000F8000000F8
000000F8000000F8000000F8000000F8000000F8000000F8000000F80000007C0000007C000000
7C0000007C0000003E0000003E0000001F0000001F8000000F80000007C0000007E0000803F800
3801FE01F800FFFFF8003FFFF0000FFFC00003FE001D2C7CAA25>67 D<FFFFFF80FFFFFF80FFFF
FF80FFFFFF80F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8
000000F8000000F8000000F8000000F8000000F8000000F8000000FFFFFC00FFFFFC00FFFFFC00
FFFFFC00F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F80000
00F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F800
0000192A7BA921>70 D<F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8
F8F8F8F8F8F8F8F8F8F8F8F8F8052A7BA910>73 D<0003FC0000000FFF0000003FFFC00000FFFF
F00001FE07F80003F801FC0007E0007E000FC0003F000F80001F001F00000F801F00000F803E00
0007C03E000007C07C000003E07C000003E07C000003E078000001E0F8000001F0F8000001F0F8
000001F0F8000001F0F8000001F0F8000001F0F8000001F0F8000001F0F8000001F0F8000001F0
7C000003E07C000003E07C000003E07E000007E03E000007C03E000007C01F00000F801F80001F
800F80001F000FC0003F0007E0007E0003F801FC0001FE07F80000FFFFF000003FFFC000001FFF
80000003FC0000242C7DAA2B>79 D<FFFFC000FFFFF800FFFFFE00FFFFFF00F8007F80F8001FC0
F80007C0F80003E0F80003E0F80001F0F80001F0F80001F0F80001F0F80001F0F80001F0F80001
F0F80003E0F80003E0F80007C0F8001FC0F8007F80FFFFFF00FFFFFE00FFFFF800FFFFC000F800
0000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8
000000F8000000F8000000F8000000F8000000F8000000F80000001C2A7BA925>I<FFFFE000FF
FFFC00FFFFFE00FFFFFF80F8003FC0F8000FE0F80003F0F80001F0F80000F0F80000F8F80000F8
F80000F8F80000F8F80000F8F80000F0F80001F0F80003F0F8000FE0F8003FC0FFFFFF80FFFFFE
00FFFFFC00FFFFE000F801F000F801F000F800F800F800F800F8007C00F8003C00F8003E00F800
1E00F8001F00F8000F80F8000F80F80007C0F80007C0F80003E0F80001E0F80001F0F80000F8F8
0000F8F800007C1E2A7BA926>82 D<007FC00001FFF80007FFFE000FFFFF001FC07F003F000F00
7E0006007C0000007C000000F8000000F8000000F8000000F8000000F8000000FC0000007E0000
007F0000003F8000001FF800000FFF000007FFE00003FFF80000FFFC00000FFE000000FF000000
3F0000001F8000000F8000000FC0000007C0000007C0000007C0000007C0000007C0000007C000
000F8060000F80F0001F00FC003F00FF80FE007FFFFC001FFFF80007FFE00000FF80001A2C7DAA
21>I<01FC000FFF003FFF803FFFC03C07E03003E00001F00001F00001F00001F00001F00003F0
01FFF007FFF01FFFF03FC1F07E01F0FC01F0F801F0F801F0F801F0FC03F07E0FF07FFFF03FFFF0
1FF9F00FE1F0141B7E9A1C>97 D<F80000F80000F80000F80000F80000F80000F80000F80000F8
0000F80000F80000F80000F80000F80000F80000F87E00F9FF80FFFFC0FFFFE0FF07E0FC03F0F8
01F8F800F8F800F8F8007CF8007CF8007CF8007CF8007CF8007CF8007CF8007CF800FCF800F8F8
00F8F801F0FC03F0FE0FE0FFFFC0FFFF80FBFF00F8FC00162A7BA91E>I<007F8001FFE007FFF8
0FFFF81FC0783F00103E00007C00007C00007C0000F80000F80000F80000F80000F80000F80000
F800007C00007C00007C00003E00003F00181FC0780FFFF807FFF801FFE0007F80151B7E9A1A>
I<00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C0000
7C00007C00007C00FC7C03FF7C07FFFC0FFFFC1FC1FC3F00FC3E007C7C007C7C007CFC007CF800
7CF8007CF8007CF8007CF8007CF8007CF8007CF8007C7C007C7C007C7E00FC3F00FC1F83FC1FFF
FC0FFF7C03FE7C01F87C162A7EA91E>I<00FC0003FF0007FF800FFFC01F87E03F01E03E00F07C
00F07C0070F80078FFFFF8FFFFF8FFFFF8FFFFF8F80000F80000F800007800007C00007C00003E
00003F00181FC0F80FFFF807FFF801FFE0007F00151B7E9A1A>I<00F80F0003FE7F800FFFFF80
1FFFFF801F07C0003E03E0003E03E0007C01F0007C01F0007C01F0007C01F0007C01F0003E03E0
003E03E0001F07C0001FFFC0003FFF80003BFE000038F8000078000000780000007C0000003FFF
80003FFFF0001FFFF8001FFFFC003FFFFE007C00FE007C003F00F8001F00F8001F00F8001F00F8
001F00FC003F007E007E003F81FC001FFFF8000FFFF00007FFE00000FF000019287E9A1D>103
D<F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F800
00F80000F80000F87E00F9FF00FBFF80FFFFC0FF0FC0FE07E0FC03E0FC03E0F803E0F803E0F803
E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803
E0F803E0F803E0F803E0132A7BA91E>I<F8F8F8F8F800000000000000000000F8F8F8F8F8F8F8
F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8052A7CA90E>I<F8F8F8F8F8F8F8F8F8F8F8F8
F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8F8052A7CA90E>108
D<F83F007E00F9FF83FF00FBFFC7FF80FFFFEFFFC0FF07FE0FC0FE03FC07E0FC01F803E0FC01F8
03E0F801F003E0F801F003E0F801F003E0F801F003E0F801F003E0F801F003E0F801F003E0F801
F003E0F801F003E0F801F003E0F801F003E0F801F003E0F801F003E0F801F003E0F801F003E0F8
01F003E0F801F003E0F801F003E0F801F003E0231B7B9A30>I<F87E00F9FF00FBFF80FFFFC0FF
0FC0FE07E0FC03E0FC03E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F8
03E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0131B7B9A1E>I<007E00
01FF8007FFE00FFFF01F81F83F00FC3E007C7C003E7C003E78001EF8001FF8001FF8001FF8001F
F8001FF8001FF8001F7C003E7C003E7C003E3E007C3F00FC1FC3F80FFFF007FFE003FFC0007E00
181B7E9A1D>I<F87E00F9FF80FFFFC0FFFFE0FF0FE0FC03F0F801F8F800F8F800F8F800FCF800
7CF8007CF8007CF8007CF8007CF8007CF8007CF800FCF800F8F801F8F801F0FC03F0FE0FE0FFFF
C0FFFF80FBFF00F8FC00F80000F80000F80000F80000F80000F80000F80000F80000F80000F800
00F80000F8000016277B9A1E>I<F838F8F8F9F8FBF8FFC0FF00FE00FE00FC00FC00F800F800F8
00F800F800F800F800F800F800F800F800F800F800F800F800F800F8000D1B7B9A14>114
D<07F8001FFF003FFF807FFF807C0780F80100F80000F80000F80000FC00007F00007FF0003FFC
001FFE0007FF0000FF80001FC0000FC00007C00007C04007C0E007C0FC1F80FFFF807FFF001FFE
0007F800121B7E9A16>I<07C00007C00007C00007C00007C00007C00007C000FFFF80FFFF80FF
FF80FFFF8007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007
C00007C00007C00007C00007C00007C00007C08007E38003FFC003FFC001FF0000FC0012227FA1
15>I<F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0
F803E0F803E0F803E0F803E0F803E0F803E0F803E0F803E0F807E0F807E0FC1FE0FFFFE07FFBE0
3FF3E01F83E0131B7B9A1E>I<F800F800F8F801F800F87C01FC00F07C01DC01F07C01DC01F07C
03DC01F03E039E03E03E039E03E03E079E03E03E079E03E01F078F07C01F070F07C01F070F07C0
0F0F0F07800F8F078F800F8F078F800F8E078F80079E078F00079E03CF0007DE03DF0003DC03DE
0003DC03DE0003DC01DE0003D801DE0001F801FC0001F801FC0001F800FC00251B7F9A28>119
D<F8001FFC001F7C003E7C003E3E003E3E007C3F007C1F007C1F00F80F80F80F80F00F81F007C1
F007C1E003C1E003E3E003E3C001E3C001E3C000F78000F78000F780007700007700003F00003E
00003E00003E00003C00003C0000780000780000780000F00001F0007FE0007FE0007FC0007F00
0018277F9A1B>121 D<FFFFF0FFFFF0FFFFF0FFFFE00007E00007C0000F80001F80001F00003E
00007E00007C0000F80001F80001F00003E00007E00007C0000F80001F80001F00003E00007E00
007FFFF8FFFFF8FFFFF8FFFFF8151B7E9A19>I E /Fs 22 122 df<FFFFFFFFFFFFC00000FFFF
FFFFFFFFFC0000FFFFFFFFFFFFFF8000FFFFFFFFFFFFFFE000FFFFFFFFFFFFFFF800001FFF0000
03FFFC00001FFF0000007FFE00001FFF0000003FFF00001FFF0000001FFF80001FFF0000000FFF
C0001FFF0000000FFFC0001FFF00000007FFE0001FFF00000007FFE0001FFF00000007FFE0001F
FF00000003FFF0001FFF00000003FFF0001FFF00000003FFF0001FFF00000003FFF0001FFF0000
0003FFF0001FFF00000003FFF0001FFF00000003FFF0001FFF00000003FFF0001FFF00000007FF
E0001FFF00000007FFE0001FFF00000007FFC0001FFF0000000FFFC0001FFF0000000FFF80001F
FF0000001FFF00001FFF0000003FFE00001FFF0000007FFC00001FFF000001FFF800001FFF0000
0FFFE000001FFFFFFFFFFF8000001FFFFFFFFFFC0000001FFFFFFFFFFF8000001FFFFFFFFFFFF0
00001FFF000000FFFC00001FFF0000003FFF00001FFF0000000FFF80001FFF00000007FFE0001F
FF00000003FFF0001FFF00000001FFF0001FFF00000001FFF8001FFF00000000FFFC001FFF0000
0000FFFC001FFF000000007FFE001FFF000000007FFE001FFF000000007FFE001FFF000000007F
FF001FFF000000007FFF001FFF000000007FFF001FFF000000007FFF001FFF000000007FFF001F
FF000000007FFF001FFF000000007FFF001FFF000000007FFF001FFF000000007FFE001FFF0000
0000FFFE001FFF00000000FFFE001FFF00000001FFFC001FFF00000001FFFC001FFF00000003FF
F8001FFF00000007FFF0001FFF0000000FFFE0001FFF0000003FFFC0001FFF000001FFFF80FFFF
FFFFFFFFFFFF00FFFFFFFFFFFFFFFC00FFFFFFFFFFFFFFF000FFFFFFFFFFFFFF8000FFFFFFFFFF
FFF8000048477CC653>66 D<000000007FFC00000E0000000FFFFFC0001E0000007FFFFFF8003E
000003FFFFFFFE007E00000FFFFFFFFF80FE00003FFFF8007FC1FE0000FFFF80000FF3FE0003FF
FC000003FFFE0007FFF0000001FFFE000FFFC00000007FFE001FFF800000003FFE003FFF000000
001FFE007FFC000000000FFE00FFFC000000000FFE01FFF80000000007FE03FFF00000000003FE
03FFE00000000003FE07FFE00000000001FE0FFFC00000000001FE0FFFC00000000000FE1FFF80
0000000000FE1FFF8000000000007E3FFF8000000000007E3FFF0000000000007E3FFF00000000
00003E7FFF0000000000003E7FFF0000000000003E7FFF0000000000003E7FFE00000000000000
7FFE00000000000000FFFE00000000000000FFFE00000000000000FFFE00000000000000FFFE00
000000000000FFFE00000000000000FFFE00000000000000FFFE00000000000000FFFE00000000
000000FFFE00000000000000FFFE00000000000000FFFE00000000000000FFFE00000000000000
FFFE000000000000007FFE000000000000007FFE000000000000007FFF000000000000007FFF00
00000000003E7FFF0000000000003E3FFF0000000000003E3FFF0000000000003E3FFF80000000
00003E1FFF8000000000007E1FFF8000000000007C0FFFC000000000007C0FFFC00000000000FC
07FFE00000000000FC03FFE00000000000F803FFF00000000001F801FFF80000000003F000FFFC
0000000003F0007FFE0000000007E0003FFF000000000FC0001FFF800000001F80000FFFC00000
003F000007FFF0000000FE000003FFFC000001FC000000FFFF80000FF80000003FFFF8007FE000
00000FFFFFFFFFC000000003FFFFFFFF00000000007FFFFFFC00000000000FFFFFE00000000000
007FFE00000047497AC754>I<00000003FFF0000000000000007FFFFF80000000000003FFFFFF
F000000000000FFFFFFFFC00000000003FFF003FFF0000000000FFF80007FFC000000003FFE000
01FFF000000007FF8000007FF80000000FFF0000003FFC0000001FFE0000001FFE0000003FFC00
00000FFF0000007FF800000007FF800000FFF000000003FFC00001FFF000000003FFE00003FFE0
00000001FFF00003FFC000000000FFF00007FFC000000000FFF80007FFC000000000FFF8000FFF
80000000007FFC000FFF80000000007FFC001FFF80000000007FFE001FFF00000000003FFE003F
FF00000000003FFF003FFF00000000003FFF003FFF00000000003FFF007FFF00000000003FFF80
7FFE00000000001FFF807FFE00000000001FFF807FFE00000000001FFF807FFE00000000001FFF
80FFFE00000000001FFFC0FFFE00000000001FFFC0FFFE00000000001FFFC0FFFE00000000001F
FFC0FFFE00000000001FFFC0FFFE00000000001FFFC0FFFE00000000001FFFC0FFFE0000000000
1FFFC0FFFE00000000001FFFC0FFFE00000000001FFFC0FFFE00000000001FFFC0FFFE00000000
001FFFC0FFFE00000000001FFFC0FFFE00000000001FFFC07FFE00000000001FFF807FFF000000
00003FFF807FFF00000000003FFF807FFF00000000003FFF803FFF00000000003FFF003FFF0000
0000003FFF003FFF80000000007FFF001FFF80000000007FFE001FFF80000000007FFE001FFF80
000000007FFE000FFFC000000000FFFC000FFFC000000000FFFC0007FFE000000001FFF80003FF
E000000001FFF00003FFF000000003FFF00001FFF000000003FFE00000FFF800000007FFC00000
7FFC0000000FFF8000007FFE0000001FFF8000003FFF0000003FFF0000000FFFC00000FFFC0000
0007FFE00001FFF800000003FFF80007FFF000000000FFFF003FFFC0000000007FFFFFFFFF8000
0000000FFFFFFFFC000000000003FFFFFFF00000000000007FFFFF8000000000000003FFF00000
00004A497AC757>79 D<00007FF00007000007FFFF000F00001FFFFFE01F00007FFFFFF83F0000
FFFFFFFC7F0003FFC00FFFFF0007FE0000FFFF000FFC00003FFF000FF800001FFF001FF000000F
FF003FE0000007FF003FE0000003FF007FE0000001FF007FC0000000FF007FC0000000FF00FFC0
0000007F00FFC00000007F00FFC00000003F00FFE00000003F00FFE00000003F00FFE00000001F
00FFF00000001F00FFF80000001F00FFFC0000001F00FFFE00000000007FFF80000000007FFFF8
000000007FFFFF800000003FFFFFFC0000003FFFFFFFC000001FFFFFFFF800001FFFFFFFFF0000
0FFFFFFFFFC00007FFFFFFFFE00003FFFFFFFFF00001FFFFFFFFFC0000FFFFFFFFFC00003FFFFF
FFFE00000FFFFFFFFF000003FFFFFFFF8000007FFFFFFF80000003FFFFFFC00000003FFFFFC000
000001FFFFE0000000003FFFE0000000000FFFE00000000003FFF00000000001FFF00000000001
FFF0F800000000FFF0F8000000007FF0F8000000007FF0F8000000007FF0F8000000003FF0FC00
0000003FF0FC000000003FF0FC000000003FE0FE000000003FE0FE000000003FE0FF000000007F
E0FF800000007FC0FF800000007FC0FFC0000000FF80FFF0000001FF80FFF8000001FF00FFFE00
0003FE00FFFFC0000FFC00FF7FFC007FF800FE3FFFFFFFF000FC0FFFFFFFC000F803FFFFFF0000
F0007FFFFC0000E00003FFE0000034497AC741>83 D<0003FFF0000000003FFFFF00000000FFFF
FFE0000001FFFFFFF8000003FF003FFC000007FF800FFE000007FF8007FF000007FF8003FF8000
07FF8003FFC00007FF8001FFC00007FF8001FFC00003FF0000FFE00001FE0000FFE00000FC0000
FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000
0000FFFFE00000007FFFFFE0000007FFFFFFE000003FFFFCFFE00000FFFE00FFE00003FFF000FF
E00007FFC000FFE0000FFF0000FFE0001FFE0000FFE0003FFC0000FFE0007FFC0000FFE0007FF8
0000FFE000FFF80000FFE000FFF00000FFE000FFF00000FFE000FFF00000FFE000FFF00001FFE0
00FFF00001FFE000FFF80003FFE0007FFC0007FFE0007FFC000FFFE0003FFE001F7FF8001FFF80
FE7FFFF007FFFFFC3FFFF003FFFFF01FFFF0007FFFC00FFFF00007FE0003FFF0342E7DAD38>97
D<007FC000000000FFFFC000000000FFFFC000000000FFFFC000000000FFFFC000000000FFFFC0
0000000003FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000000000
01FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000
00000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001
FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00FFE000001FFC0FFFF
C00001FFC3FFFFF00001FFCFFFFFFC0001FFFFE01FFF0001FFFF0007FF8001FFFC0001FFC001FF
F80000FFE001FFF00000FFF001FFE000007FF001FFC000007FF801FFC000003FFC01FFC000003F
FC01FFC000003FFC01FFC000001FFE01FFC000001FFE01FFC000001FFE01FFC000001FFF01FFC0
00001FFF01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC000001FFF
01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC000
001FFE01FFC000001FFE01FFC000003FFE01FFC000003FFC01FFC000003FFC01FFC000003FF801
FFC000007FF801FFE000007FF001FFF00000FFE001FFF80001FFE001FFFC0003FFC001FF7F0007
FF0001FE3FC03FFE0001FC0FFFFFF80001FC03FFFFF00001F800FFFF800001F0001FF800003848
7CC741>I<00001FFF80000001FFFFF8000007FFFFFE00001FFFFFFF00007FF801FF8000FFE003
FFC003FFC003FFC007FF8003FFC007FF0003FFC00FFE0003FFC01FFE0003FFC01FFC0001FF803F
FC0000FF003FFC00007E007FFC000000007FF8000000007FF800000000FFF800000000FFF80000
0000FFF800000000FFF800000000FFF800000000FFF800000000FFF800000000FFF800000000FF
F800000000FFF800000000FFF800000000FFF8000000007FFC000000007FFC000000007FFC0000
00003FFC000000003FFE000000001FFE000001F01FFF000001F00FFF000003F007FF800007E007
FFC00007C003FFE0000FC000FFF8003F80007FFF00FF00001FFFFFFC000007FFFFF0000001FFFF
C00000001FFC00002C2E7CAD34>I<0000000000FF8000000001FFFF8000000001FFFF80000000
01FFFF8000000001FFFF8000000001FFFF800000000007FF800000000003FF800000000003FF80
0000000003FF800000000003FF800000000003FF800000000003FF800000000003FF8000000000
03FF800000000003FF800000000003FF800000000003FF800000000003FF800000000003FF8000
00000003FF800000000003FF800000000003FF800000000003FF800000000003FF800000000003
FF8000001FF803FF800001FFFF03FF80000FFFFFE3FF80003FFFFFFBFF80007FFC03FFFF8001FF
E0007FFF8003FFC0003FFF8007FF80000FFF800FFF000007FF800FFE000003FF801FFE000003FF
801FFC000003FF803FFC000003FF803FFC000003FF807FFC000003FF807FF8000003FF807FF800
0003FF80FFF8000003FF80FFF8000003FF80FFF8000003FF80FFF8000003FF80FFF8000003FF80
FFF8000003FF80FFF8000003FF80FFF8000003FF80FFF8000003FF80FFF8000003FF80FFF80000
03FF80FFF8000003FF807FF8000003FF807FF8000003FF807FF8000003FF803FFC000003FF803F
FC000003FF803FFC000003FF801FFE000007FF800FFE000007FF800FFF00000FFF8007FF00001F
FF8003FF80007FFF8001FFE000FFFFC000FFF807FBFFFF003FFFFFE3FFFF000FFFFFC3FFFF0003
FFFE03FFFF00003FF003FFFF38487CC741>I<00003FFE00000001FFFFC000000FFFFFF800003F
FFFFFC00007FFC0FFE0000FFE003FF0001FF8000FF8003FF0000FFC007FF00007FE00FFE00003F
F01FFE00003FF01FFC00003FF03FFC00001FF83FFC00001FF87FFC00001FF87FF800001FFC7FF8
00000FFC7FF800000FFCFFF800000FFCFFFFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFF
FCFFF800000000FFF800000000FFF800000000FFF800000000FFF8000000007FF8000000007FF8
000000007FFC000000007FFC000000003FFC000000003FFC0000007C1FFE0000007C0FFE000000
FC0FFF000000F807FF800001F803FFC00003F001FFE00007E000FFF8001FC0007FFF00FF80001F
FFFFFF000007FFFFFC000000FFFFF00000000FFF00002E2E7DAD35>I<00000000003F000000FF
F000FFC00007FFFE03FFE0003FFFFFCFFFF0007FFFFFFFCFF001FFE07FFE0FF003FF801FFC1FF0
07FF000FFE0FF00FFE0007FF0FF00FFE0007FF07E01FFC0003FF81801FFC0003FF80003FFC0003
FFC0003FFC0003FFC0003FFC0003FFC0003FFC0003FFC0003FFC0003FFC0003FFC0003FFC0003F
FC0003FFC0003FFC0003FFC0003FFC0003FFC0001FFC0003FF80001FFC0003FF80000FFE0007FF
00000FFE0007FF000007FF000FFE000003FF801FFC000001FFE07FF8000003FFFFFFE0000003FF
FFFFC000000787FFFE0000000780FFF0000000078000000000000F8000000000000F8000000000
000FC000000000000FC000000000000FE000000000000FF8000000000007FFFFFFF0000007FFFF
FFFF000007FFFFFFFFE00003FFFFFFFFF80003FFFFFFFFFC0001FFFFFFFFFE0000FFFFFFFFFF00
03FFFFFFFFFF800FFFFFFFFFFF801FF000001FFFC03FC0000001FFC07F800000007FE07F800000
003FE0FF000000003FE0FF000000001FE0FF000000001FE0FF000000001FE0FF000000001FE0FF
800000003FE07F800000003FC07FC00000007FC03FE0000000FF801FF8000003FF000FFE00000F
FE0007FFE000FFFC0001FFFFFFFFF000003FFFFFFF8000000FFFFFFE000000007FFFC000003444
7DAE3A>103 D<007FC000000000FFFFC000000000FFFFC000000000FFFFC000000000FFFFC000
000000FFFFC00000000003FFC00000000001FFC00000000001FFC00000000001FFC00000000001
FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000
000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FF
C00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC007FE00
0001FFC03FFFC00001FFC0FFFFF00001FFC1FFFFFC0001FFC7F01FFC0001FFCFC00FFE0001FFDF
0007FF0001FFDE0007FF0001FFFC0007FF0001FFF80003FF8001FFF80003FF8001FFF00003FF80
01FFE00003FF8001FFE00003FF8001FFE00003FF8001FFC00003FF8001FFC00003FF8001FFC000
03FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001
FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003
FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FF
C00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF
8001FFC00003FF80FFFFFF81FFFFFFFFFFFF81FFFFFFFFFFFF81FFFFFFFFFFFF81FFFFFFFFFFFF
81FFFFFF38487BC741>I<00FC0001FF0003FF8007FF800FFFC00FFFC00FFFE00FFFE00FFFE00F
FFC00FFFC007FF8003FF8001FF0000FC0000000000000000000000000000000000000000000000
0000000000000000000000000000007FC0FFFFC0FFFFC0FFFFC0FFFFC0FFFFC003FFC001FFC001
FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001
FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001
FFC001FFC001FFC001FFC001FFC001FFC001FFC0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF18497CC8
20>I<007FC000FFFFC000FFFFC000FFFFC000FFFFC000FFFFC00003FFC00001FFC00001FFC000
01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0
0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FF
C00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001
FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000
01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0
0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000FFFF
FF80FFFFFF80FFFFFF80FFFFFF80FFFFFF8019487CC720>108 D<00FF8003FF000003FF000000
FFFF801FFFE0001FFFE00000FFFF807FFFF8007FFFF80000FFFF81FFFFFC01FFFFFC0000FFFF83
F01FFE03F01FFE0000FFFF87C007FF07C007FF000003FF8F0007FF8F0007FF800001FF9E0003FF
9E0003FF800001FFBC0003FFBC0003FF800001FFF80001FFF80001FFC00001FFF80001FFF80001
FFC00001FFF00001FFF00001FFC00001FFE00001FFE00001FFC00001FFE00001FFE00001FFC000
01FFE00001FFE00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0
0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FF
C00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001
FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000
01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0
0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FF
C00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001
FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000
01FFC00001FFC00001FFC000FFFFFF80FFFFFF80FFFFFF80FFFFFF80FFFFFF80FFFFFF80FFFFFF
80FFFFFF80FFFFFF80FFFFFF80FFFFFF80FFFFFF80FFFFFF80FFFFFF80FFFFFF80592E7BAD62>
I<00FF8007FE0000FFFF803FFFC000FFFF80FFFFF000FFFF81FFFFFC00FFFF87F01FFC00FFFF8F
C00FFE0003FF9F0007FF0001FF9E0007FF0001FFBC0007FF0001FFF80003FF8001FFF80003FF80
01FFF00003FF8001FFE00003FF8001FFE00003FF8001FFE00003FF8001FFC00003FF8001FFC000
03FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001
FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003
FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FF
C00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF
8001FFC00003FF8001FFC00003FF80FFFFFF81FFFFFFFFFFFF81FFFFFFFFFFFF81FFFFFFFFFFFF
81FFFFFFFFFFFF81FFFFFF382E7BAD41>I<00000FFE0000000001FFFFF000000007FFFFFC0000
001FFFFFFF0000007FF803FFC00000FFE000FFE00001FF80003FF00003FF00001FF80007FE0000
0FFC000FFE00000FFE000FFC000007FE001FFC000007FF003FFC000007FF803FF8000003FF803F
F8000003FF807FF8000003FFC07FF8000003FFC07FF8000003FFC0FFF8000003FFE0FFF8000003
FFE0FFF8000003FFE0FFF8000003FFE0FFF8000003FFE0FFF8000003FFE0FFF8000003FFE0FFF8
000003FFE0FFF8000003FFE0FFF8000003FFE07FF8000003FFC07FF8000003FFC07FF8000003FF
C07FF8000003FFC03FFC000007FF803FFC000007FF801FFC000007FF001FFC000007FF000FFE00
000FFE0007FF00001FFC0003FF00001FF80001FFC0007FF00000FFE000FFE000007FFC07FFC000
001FFFFFFF00000007FFFFFC00000001FFFFF0000000001FFF000000332E7DAD3A>I<007FC00F
FE0000FFFFC0FFFFC000FFFFC3FFFFF000FFFFCFFFFFFC00FFFFFFE03FFF00FFFFFF000FFF8003
FFFC0007FFC001FFF80003FFE001FFF00001FFF001FFE00000FFF001FFC00000FFF801FFC00000
7FFC01FFC000007FFC01FFC000003FFC01FFC000003FFE01FFC000003FFE01FFC000003FFE01FF
C000001FFF01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC000001F
FF01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC000001FFF01FFC0
00001FFF01FFC000003FFE01FFC000003FFE01FFC000003FFE01FFC000007FFC01FFC000007FFC
01FFC000007FF801FFC00000FFF801FFE00000FFF001FFF00001FFE001FFF80003FFE001FFFC00
07FFC001FFFF000FFF0001FFFFC07FFE0001FFCFFFFFF80001FFC3FFFFF00001FFC0FFFF800001
FFC01FF8000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000
000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FF
C00000000001FFC00000000001FFC00000000001FFC00000000001FFC000000000FFFFFF800000
00FFFFFF80000000FFFFFF80000000FFFFFF80000000FFFFFF8000000038427CAD41>I<00FF80
7F00FFFF81FFC0FFFF87FFF0FFFF8FFFF8FFFF9F8FFCFFFF9F1FFE03FFBE1FFE01FFBC1FFE01FF
F81FFE01FFF81FFE01FFF01FFE01FFF00FFC01FFE007F801FFE003F001FFE0000001FFE0000001
FFE0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC00000
01FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC000
0001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0
000001FFC00000FFFFFFE000FFFFFFE000FFFFFFE000FFFFFFE000FFFFFFE000272E7CAD2F>
114 D<000FFE01C000FFFFC7C003FFFFFFC007FFFFFFC01FF001FFC03FC0007FC03F80003FC07F
00001FC07E00000FC0FE00000FC0FE000007C0FE000007C0FF000007C0FF800007C0FFC0000000
FFF8000000FFFFC000007FFFFE00007FFFFFE0003FFFFFF8001FFFFFFE000FFFFFFF0007FFFFFF
8001FFFFFFC0007FFFFFE0001FFFFFF00000FFFFF0000007FFF00000007FF80000001FF8F80000
0FF8F8000007F8FC000007F8FC000003F8FC000003F8FE000003F8FF000003F0FF000007F0FF80
0007F0FFC0000FE0FFF0001FC0FFFC00FF80FFFFFFFF00FC7FFFFC00F01FFFF000E003FF800025
2E7CAD2E>I<0001F000000001F000000001F000000001F000000001F000000001F000000003F0
00000003F000000003F000000007F000000007F000000007F00000000FF00000000FF00000001F
F00000003FF00000003FF00000007FF0000001FFF0000003FFF000000FFFFFFFC0FFFFFFFFC0FF
FFFFFFC0FFFFFFFFC0FFFFFFFFC0007FF00000007FF00000007FF00000007FF00000007FF00000
007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF000
00007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF0
0000007FF00000007FF00000007FF001F0007FF001F0007FF001F0007FF001F0007FF001F0007F
F001F0007FF001F0007FF001F0007FF001F0007FF003F0003FF803E0003FF807E0001FFC07C000
1FFE0F80000FFFFF800003FFFE000000FFFC0000001FE00024427EC12D>I<007FC00000FF80FF
FFC001FFFF80FFFFC001FFFF80FFFFC001FFFF80FFFFC001FFFF80FFFFC001FFFF8003FFC00007
FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FF
C00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF
8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC0
0003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF80
01FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00003FF8001FFC00007FF8001FFC000
07FF8001FFC00007FF8001FFC0000FFF8001FFC0001FFF8000FFC0003FFF8000FFE0007FFF8000
7FE000FBFFC0007FF803F3FFFF003FFFFFE3FFFF000FFFFF83FFFF0003FFFE03FFFF00007FF003
FFFF382E7BAD41>I<FFFFFF0003FFFFFFFFFF0003FFFFFFFFFF0003FFFFFFFFFF0003FFFFFFFF
FF0003FFFF01FFE000001F8000FFE000001F0000FFF000003F00007FF000003E00007FF800007E
00003FF800007C00003FFC0000FC00001FFC0000F800001FFC0000F800001FFE0001F800000FFE
0001F000000FFF0003F0000007FF0003E0000007FF8007E0000003FF8007C0000003FFC007C000
0003FFC00FC0000001FFC00F80000001FFE01F80000000FFE01F00000000FFF03F000000007FF0
3E000000007FF87E000000003FF87C000000003FF87C000000003FFCFC000000001FFCF8000000
001FFFF8000000000FFFF0000000000FFFF00000000007FFE00000000007FFE00000000003FFC0
0000000003FFC00000000003FFC00000000001FF800000000001FF800000000000FF0000000000
00FF0000000000007E0000000000007E0000000000007E0000000000007C000000000000FC0000
00000000F8000000000001F8000000000001F00000001F0003F00000003F8003E00000007FC003
E0000000FFE007C0000000FFE00FC0000000FFE00F80000000FFE01F80000000FFE03F00000000
7FC0FE000000007F83FC000000003FFFF8000000001FFFE00000000007FF800000000001FE0000
00000038427EAD3D>121 D E /Ft 8 117 df<00001E000000003E00000000FE00000003FE0000
003FFE0000FFFFFE0000FFFFFE0000FFFFFE0000FFCFFE0000000FFE0000000FFE0000000FFE00
00000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE
0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000F
FE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE000000
0FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000
000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE00
00000FFE00007FFFFFFF807FFFFFFF807FFFFFFF807FFFFFFF80213879B730>49
D<0000001FFE0000E0000003FFFFE001E000001FFFFFF803E000007FFFFFFE07E00001FFFC00FF
0FE00007FFC0001FDFE0000FFF000007FFE0003FFC000001FFE0007FF0000000FFE000FFE00000
007FE001FFC00000003FE003FF800000001FE007FF800000001FE007FF000000000FE00FFE0000
000007E00FFE0000000007E01FFC0000000007E01FFC0000000003E03FFC0000000003E03FF800
00000003E07FF80000000001E07FF80000000001E07FF80000000001E07FF0000000000000FFF0
000000000000FFF0000000000000FFF0000000000000FFF0000000000000FFF0000000000000FF
F0000000000000FFF0000000000000FFF0000000000000FFF0000000000000FFF0000000000000
FFF0000000000000FFF0000000000000FFF00000000000007FF00000000000007FF80000000000
007FF80000000001E07FF80000000001E03FF80000000001E03FFC0000000001E01FFC00000000
01E01FFC0000000003E00FFE0000000003C00FFE0000000007C007FF0000000007C007FF800000
000F8003FF800000000F8001FFC00000001F0000FFE00000003E00007FF00000007C00003FFC00
0000F800000FFF000003F0000007FFC0000FE0000001FFFC007FC00000007FFFFFFF000000001F
FFFFFC0000000003FFFFE000000000001FFE0000003B3D7BBB46>67 D<003FFF00000001FFFFE0
000007FFFFFC00000FF007FE00001FF801FF80001FF800FFC0001FF8007FE0001FF8007FE0001F
F8007FF0000FF0003FF00007E0003FF00003C0003FF0000000003FF0000000003FF0000000003F
F0000000003FF0000000FFFFF000000FFFFFF000007FF83FF00003FF803FF00007FE003FF0001F
FC003FF0003FF8003FF0007FF0003FF0007FE0003FF000FFE0003FF000FFC0003FF000FFC0003F
F000FFC0003FF000FFC0007FF000FFC0007FF000FFE000FFF0007FE001DFF0003FF003DFFC001F
FC0F9FFFE00FFFFE0FFFE001FFF807FFE0003FE001FFE02B267DA52F>97
D<0003FF8000001FFFF000007FFFFC0000FF83FF0003FE00FF8007FC003F800FF8003FC01FF800
1FE01FF0001FE03FF0001FF03FF0000FF07FE0000FF07FE0000FF87FE0000FF8FFE0000FF8FFE0
000FF8FFFFFFFFF8FFFFFFFFF8FFFFFFFFF8FFE0000000FFE0000000FFE0000000FFE0000000FF
E00000007FE00000007FE00000007FF00000003FF00000783FF00000781FF80000F80FF80000F0
07FC0001F003FE0003E001FF000FC000FFC07F80003FFFFE00000FFFFC000001FFC00025267DA5
2C>101 D<00FF0000000000FFFF0000000000FFFF0000000000FFFF0000000000FFFF00000000
0007FF000000000003FF000000000003FF000000000003FF000000000003FF000000000003FF00
0000000003FF000000000003FF000000000003FF000000000003FF000000000003FF0000000000
03FF000000000003FF000000000003FF000000000003FF000000000003FF000000000003FF0000
00000003FF003FE0000003FF01FFFC000003FF07FFFE000003FF0F81FF800003FF3C00FF800003
FF3800FFC00003FF7000FFC00003FFE0007FE00003FFC0007FE00003FFC0007FE00003FF80007F
E00003FF80007FE00003FF00007FE00003FF00007FE00003FF00007FE00003FF00007FE00003FF
00007FE00003FF00007FE00003FF00007FE00003FF00007FE00003FF00007FE00003FF00007FE0
0003FF00007FE00003FF00007FE00003FF00007FE00003FF00007FE00003FF00007FE00003FF00
007FE00003FF00007FE00003FF00007FE00003FF00007FE00003FF00007FE00003FF00007FE000
03FF00007FE000FFFFFC1FFFFF80FFFFFC1FFFFF80FFFFFC1FFFFF80FFFFFC1FFFFF80313C7DBB
36>104 D<00FF00FF8000FFFF0FFFF800FFFF3FFFFE00FFFFFE03FF00FFFFF000FFC007FFE000
7FE003FFC0003FF003FF80003FF803FF00001FF803FF00001FFC03FF00000FFC03FF00000FFE03
FF00000FFE03FF00000FFE03FF000007FF03FF000007FF03FF000007FF03FF000007FF03FF0000
07FF03FF000007FF03FF000007FF03FF000007FF03FF000007FF03FF000007FF03FF00000FFE03
FF00000FFE03FF00000FFE03FF00000FFC03FF00001FFC03FF00001FF803FF80003FF003FFC000
7FF003FFE000FFE003FFF001FF8003FFFE07FF0003FF3FFFFC0003FF0FFFF00003FF01FF000003
FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000
000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003FF00000000FF
FFFC000000FFFFFC000000FFFFFC000000FFFFFC00000030377EA536>112
D<00FE01F800FFFE07FF00FFFE1FFF80FFFE3E3FC0FFFE787FE007FE707FE003FEE07FE003FEE0
7FE003FFC07FE003FFC03FC003FF801F8003FF800F0003FF80000003FF80000003FF00000003FF
00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003
FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF000000
03FF00000003FF00000003FF000000FFFFFE0000FFFFFE0000FFFFFE0000FFFFFE000023267EA5
28>114 D<000F0000000F0000000F0000000F0000000F0000001F0000001F0000001F0000001F
0000003F0000003F0000007F0000007F000000FF000001FF000003FF000007FF00001FFFFFF0FF
FFFFF0FFFFFFF0FFFFFFF003FF000003FF000003FF000003FF000003FF000003FF000003FF0000
03FF000003FF000003FF000003FF000003FF000003FF000003FF000003FF000003FF000003FF00
0003FF000003FF000003FF003C03FF003C03FF003C03FF003C03FF003C03FF003C03FF003C03FF
003C01FF807801FF807800FFC0F000FFE1F0003FFFE0000FFF800001FE001E377EB626>116
D E /Fu 78 124 df<000FC3E0007FEFF000E07C7801C0F8780380F83007007000070070000700
700007007000070070000700700007007000FFFFFF80FFFFFF8007007000070070000700700007
007000070070000700700007007000070070000700700007007000070070000700700007007000
0700700007007000070070007FE3FF007FE3FF001D20809F1B>11 D<001F80007FC001E0E00381
E00381E00701E0070000070000070000070000070000070000FFFFE0FFFFE00700E00700E00700
E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700
E07FC3FE7FC3FE1720809F19>I<001FE0007FE001E1E00381E00380E00700E00700E00700E007
00E00700E00700E00700E0FFFFE0FFFFE00700E00700E00700E00700E00700E00700E00700E007
00E00700E00700E00700E00700E00700E00700E00700E00700E07FE7FE7FE7FE1720809F19>I<
000F80F800007FE7FE0000E06E060001C0FC0F000380F80F000700F00F00070070000007007000
000700700000070070000007007000000700700000FFFFFFFF00FFFFFFFF000700700700070070
070007007007000700700700070070070007007007000700700700070070070007007007000700
7007000700700700070070070007007007000700700700070070070007007007007FE3FE3FF07F
E3FE3FF02420809F26>I<000FC0FF00007FE7FF0000E07E0F0001C0FC0F000380F80700070070
0700070070070007007007000700700700070070070007007007000700700700FFFFFFFF00FFFF
FFFF00070070070007007007000700700700070070070007007007000700700700070070070007
007007000700700700070070070007007007000700700700070070070007007007000700700700
07007007007FE3FE3FF07FE3FE3FF02420809F26>I<70F8F8F8F8F8F8F8F87070707070707070
707070707070000000000070F8F8F87005217CA00D>33 D<7038F87CFC7EFC7E7C3E0C060C060C
06180C180C381C3018603040200F0E7E9F17>I<0078000000FC00000186000003860000030300
00070300000703000007030000070300000706000007060000070C00000718000003B81FFC03F0
1FFC03E003E003C0018003C0030007C003000EE006001CE0060038700C0078780C0070381800F0
1C3000F01E3000F00E6000F007C000F003C0187801C0187807E0303E1E78701FF83FE007E00F80
1E227EA023>38 D<70F8FCFC7C0C0C0C181838306040060E7C9F0D>I<006000C0018003000700
06000C001C00180038003800300070007000700060006000E000E000E000E000E000E000E000E0
00E000E000E000E0006000600070007000700030003800380018001C000C000600070003000180
00C000600B2E7DA112>I<C0006000300018001C000C0006000700030003800380018001C001C0
01C000C000C000E000E000E000E000E000E000E000E000E000E000E000E000C000C001C001C001
C00180038003800300070006000C001C00180030006000C0000B2E7DA112>I<70F8FCFC7C0C0C
0C181838306040060E7C840D>44 D<FFC0FFC0FFC00A037F8A0F>I<70F8F8F87005057C840D>I<
00030003000700060006000E000C000C001C0018001800380030003000700060006000E000C000
C001C00180018001800380030003000700060006000E000C000C001C0018001800380030003000
700060006000E000C000C000102D7DA117>I<03F0000FFC001E1E001C0E003807007807807003
80700380700380F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003
C0F003C0F003C07003807003807003807807803807001C0E001E1E000FFC0003F000121F7E9D17
>I<018003801F80FF80E380038003800380038003800380038003800380038003800380038003
80038003800380038003800380038003800380FFFEFFFE0F1E7C9D17>I<03F0000FFC00183E00
300F00600F80C00780F007C0F807C0F803C0F803C02003C00007C0000780000780000F00000E00
001C0000380000700000E00001C0000380000300000600C00C00C01800C03001807FFF80FFFF80
FFFF80121E7E9D17>I<03F0000FFC001C1E00300F00780F80780F80780780380F80000F80000F
00000F00001E00003C0003F80003F000001C00000E00000F000007800007800007C02007C0F807
C0F807C0F807C0F00780600F80700F003C1E001FFC0003F000121F7E9D17>I<000E00000E0000
1E00003E00003E00006E0000EE0000CE00018E00038E00030E00060E000E0E000C0E00180E0038
0E00300E00600E00E00E00FFFFF0FFFFF0000E00000E00000E00000E00000E00000E00000E0000
FFE000FFE0141E7F9D17>I<3803003FFF003FFE003FF8003FE000300000300000300000300000
30000030000031F00037FC003E0E003C07003807803003800003800003C00003C00003C06003C0
F003C0F003C0F00380C00780600700700E003C1E000FF80007E000121F7E9D17>I<007C0001FE
000783000E03800C07801C0780380300380000780000700000700000F3F800F7FE00FC0E00F807
00F80380F80380F003C0F003C0F003C0F003C0F003C07003C07003C07003803803803807001C07
000E1E0007FC0001F000121F7E9D17>I<6000007FFFC07FFFC07FFF80600180C00300C00600C0
0600000C0000180000180000300000600000600000E00000C00001C00001C00001C00003800003
8000038000038000078000078000078000078000078000078000078000030000121F7D9D17>I<
03F0000FFC001E1E003807003007007003807003807003807003807807003E07003F0E001FDC00
0FF80003F80007FC001E7E00383F00700F80700780E003C0E001C0E001C0E001C0E001C0F00180
7003803807001E0E000FFC0003F000121F7E9D17>I<03F00007F8001E1C00380E003807007007
00700380F00380F00380F003C0F003C0F003C0F003C0F003C07007C07007C0380FC01C0FC01FFB
C007F3C0000380000380000780000700300700780E00780E00701C003078001FF0000FC000121F
7E9D17>I<70F8F8F8700000000000000000000070F8F8F87005147C930D>I<70F8F8F870000000
0000000000000070F8F8F878181818183030606040051D7C930D>I<7FFFFFE0FFFFFFF0000000
0000000000000000000000000000000000000000000000000000000000FFFFFFF07FFFFFE01C0C
7D9023>61 D<0FC03FF070786038E03CF03CF03C603C003C007800F000E001C001800380030003
00030003000300030003000000000000000000000007000F800F800F8007000E207D9F15>63
D<0003800000038000000380000007C0000007C0000007C000000DE000000DE000000DE0000018
F0000018F0000018F00000307800003078000030780000603C0000603C0000603C0000E01E0000
C01E0000FFFE0001FFFF0001800F0001800F0003800F800300078003000780070007C0070003C0
0F8003C0FFE03FFEFFE03FFE1F207F9F22>65 D<FFFFE000FFFFF80007803E0007801F0007800F
0007800F8007800F8007800F8007800F8007800F8007800F0007801F0007803E0007807C0007FF
F80007FFFC0007801E0007800F0007800F8007800780078007C0078007C0078007C0078007C007
8007C00780078007800F8007801F0007803E00FFFFFC00FFFFF0001A1F7E9E20>I<001FC04000
7FF0C001F839C003C00DC0078007C00F0003C01E0003C03E0001C03C0001C07C0001C07C0000C0
780000C0F80000C0F8000000F8000000F8000000F8000000F8000000F8000000F8000000F80000
00780000C07C0000C07C0000C03C0000C03E0001801E0001800F0003000780030003C00E0001F8
1C00007FF000001FC0001A217D9F21>I<FFFFE000FFFFFC0007803E0007800F00078007800780
03C0078003E0078001E0078001F0078000F0078000F0078000F8078000F8078000F8078000F807
8000F8078000F8078000F8078000F8078000F8078000F0078000F0078001F0078001E0078001E0
078003C00780078007800F0007803E00FFFFFC00FFFFE0001D1F7E9E23>I<FFFFFF00FFFFFF00
07801F000780070007800300078003000780038007800180078001800780C1800780C1800780C0
000780C0000781C00007FFC00007FFC0000781C0000780C0000780C0000780C0600780C0600780
0060078000C0078000C0078000C0078001C0078001C0078003C007800F80FFFFFF80FFFFFF801B
1F7E9E1F>I<FFFFFF00FFFFFF0007801F00078007000780030007800300078003800780018007
8001800780C1800780C1800780C0000780C0000781C00007FFC00007FFC0000781C0000780C000
0780C0000780C0000780C000078000000780000007800000078000000780000007800000078000
0007800000FFFE0000FFFE0000191F7E9E1E>I<FFF8FFF8FFF8FFF807800F0007800F0007800F
0007800F0007800F0007800F0007800F0007800F0007800F0007800F0007800F0007800F0007FF
FF0007FFFF0007800F0007800F0007800F0007800F0007800F0007800F0007800F0007800F0007
800F0007800F0007800F0007800F0007800F00FFF8FFF8FFF8FFF81D1F7E9E22>72
D<FFFCFFFC07800780078007800780078007800780078007800780078007800780078007800780
0780078007800780078007800780078007800780FFFCFFFC0E1F7F9E10>I<FFFE00FFFE000780
000780000780000780000780000780000780000780000780000780000780000780000780000780
0007800007800007800007800607800607800607800607800E07800E07800C07801C07803C0780
FCFFFFFCFFFFFC171F7E9E1C>76 D<FF80001FF8FFC0003FF807C0003F0007C0003F0006E0006F
0006E0006F0006E0006F00067000CF00067000CF00067000CF000638018F000638018F00063801
8F00061C030F00061C030F00061C030F00060E060F00060E060F00060E060F0006070C0F000607
0C0F0006070C0F000603980F000603980F000603980F000601F00F000601F00F000601F00F000F
00E00F00FFF0E1FFF8FFF0E1FFF8251F7E9E2A>I<FF807FF8FFC07FF807C0078007E0030007E0
030006F0030006F0030006780300063C0300063C0300061E0300061E0300060F0300060F030006
0783000607C3000603C3000601E3000601E3000600F3000600F30006007B0006007B0006003F00
06001F0006001F0006000F0006000F000F000700FFF00700FFF003001D1F7E9E22>I<001F8000
00FFF00001E0780007C03E000F801F000F000F001E0007803C0003C03C0003C07C0003E07C0003
E0780001E0F80001F0F80001F0F80001F0F80001F0F80001F0F80001F0F80001F0F80001F0F800
01F0780001E07C0003E07C0003E03C0003C03E0007C01E0007800F000F000F801F0007C03E0001
F0F80000FFF000001F80001C217D9F23>I<FFFFE000FFFFF80007807C0007801E0007801F0007
800F0007800F8007800F8007800F8007800F8007800F8007800F0007801F0007801E0007807C00
07FFF80007FFE00007800000078000000780000007800000078000000780000007800000078000
0007800000078000000780000007800000FFFC0000FFFC0000191F7E9E1F>I<FFFF8000FFFFF0
000780F80007803C0007803E0007801E0007801F0007801F0007801F0007801F0007801E000780
3E0007803C000780F80007FFF00007FF80000781C0000780E00007807000078070000780780007
8078000780780007807C0007807C0007807C0007807C0C07807E0C07803E0CFFFC1F18FFFC0FF0
000003E01E207E9E21>82 D<07E0800FF9801C1F80300F80700780600380E00380E00180E00180
E00180F00000F000007800007F00003FF0001FFC000FFE0003FF00001F800007800003C00003C0
0001C0C001C0C001C0C001C0C001C0E00180F00380F80700FE0E00CFFC0081F80012217D9F19>
I<7FFFFFE07FFFFFE0780F01E0700F00E0600F0060600F0060E00F0070C00F0030C00F0030C00F
0030C00F0030000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F000000
0F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000
07FFFE0007FFFE001C1F7E9E21>I<FFFC7FF8FFFC7FF807800780078003000780030007800300
078003000780030007800300078003000780030007800300078003000780030007800300078003
0007800300078003000780030007800300078003000780030007800300078003000380020003C0
060003C0060001C00C0000E0180000783000003FE000000FC0001D207E9E22>I<FFF007FEFFF0
07FE0F8001F00F0000E0078000C0078000C007C001C003C0018003C0018003E0038001E0030001
E0030000F0060000F0060000F0060000780C0000780C0000780C00003C1800003C1800003C1800
001E3000001E3000001F7000000F6000000F6000000FE0000007C0000007C00000038000000380
00000380001F207F9E22>I<FFF07FF83FF0FFF07FF83FF00F0007800F800F00078003000F0007
80030007800FC0060007800FC0060007800FC00600078019E00E0003C019E00C0003C019E00C00
03C039E00C0001E030F0180001E030F0180001E030F0180000F06078300000F06078300000F060
78300000F0E07C30000078C03C60000078C03C60000078C03C6000003D801EC000003D801EC000
003D801EC000003F000FC000001F000F8000001F000F8000001F000F8000000E00070000000E00
070000000E000700002C207F9E2F>I<7FF83FF87FF83FF807C00F8003C0060001E00E0001F00C
0000F0180000783800007C3000003C7000003E6000001EC000000FC000000F8000000780000007
C0000007E000000DE000001DF0000018F8000038780000307C0000603C0000E01E0000C01F0001
800F0003800780030007C00F8007C0FFE01FFEFFE01FFE1F1F7F9E22>I<FFF007FFFFF007FF0F
8001F0078000C007C001C003E0018001E0038001F0030000F0070000F80600007C0C00003C0C00
003E1800001E3800001F3000000FF0000007E0000007C0000003C0000003C0000003C0000003C0
000003C0000003C0000003C0000003C0000003C0000003C0000003C000007FFE00007FFE00201F
7F9E22>I<0804180C3018703860306030C060C060C060F87CFC7EFC7E7C3E381C0F0E7B9F17>
92 D<1FE0003FF000783800781C00300E00000E00000E00000E0003FE001FFE003E0E00780E00
F80E00F00E30F00E30F00E30F01E30783F703FEFE00F878014147E9317>97
D<0E0000FE0000FE00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E3F
000EFF800FC3C00F00E00E00F00E00700E00780E00780E00780E00780E00780E00780E00780E00
700E00F00F00F00F01E00FC3C00CFF800C3E0015207F9F19>I<03F80FFC1E1E3C1E380C780070
00F000F000F000F000F000F0007000780038033C031F0E0FFC03F010147E9314>I<000380003F
80003F8000038000038000038000038000038000038000038000038000038003E3800FFB801E0F
803C0780780380780380700380F00380F00380F00380F00380F00380F003807003807003807807
803807801E1F800FFBF803E3F815207E9F19>I<03F0000FFC001E1E003C0F0038070078070070
0380F00380FFFF80FFFF80F00000F00000F000007000007800003801801C03800F070007FE0001
F80011147F9314>I<003C00FE01CF038F03060700070007000700070007000700FFF0FFF00700
0700070007000700070007000700070007000700070007000700070007007FF07FF01020809F0E
>I<0001E003E3F00FFF701C1C703C1E00380E00780F00780F00780F00780F00380E003C1E001C
1C003FF80033E0003000003000003800003FFE001FFF803FFFC07003E07000F0E00070E00070E0
0070F000F07801E03E07C00FFF0003FC00141F7F9417>I<0E0000FE0000FE00000E00000E0000
0E00000E00000E00000E00000E00000E00000E00000E3E000EFF000FC3800F01C00F01C00E01C0
0E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C0FFE7FC
FFE7FC16207F9F19>I<1C001E003E001E001C000000000000000000000000000E007E007E000E
000E000E000E000E000E000E000E000E000E000E000E000E000E000E00FFC0FFC00A1F809E0C>
I<00E001F001F001F000E0000000000000000000000000007007F007F000F00070007000700070
00700070007000700070007000700070007000700070007000700070007000706070F0E0F1C07F
803E000C28829E0E>I<0E0000FE0000FE00000E00000E00000E00000E00000E00000E00000E00
000E00000E00000E1FF00E1FF00E0F800E0E000E0C000E18000E30000E70000EF0000FF8000F38
000E1C000E1E000E0E000E07000E07800E03800E03C0FFCFF8FFCFF815207F9F18>I<0E00FE00
FE000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E
000E000E000E000E000E000E000E000E00FFE0FFE00B20809F0C>I<0E3F03F000FEFF8FF800FF
C1DC1C000F80F80E000F00F00E000E00E00E000E00E00E000E00E00E000E00E00E000E00E00E00
0E00E00E000E00E00E000E00E00E000E00E00E000E00E00E000E00E00E000E00E00E000E00E00E
00FFE7FE7FE0FFE7FE7FE023147F9326>I<0E3E00FEFF00FFC3800F01C00F01C00E01C00E01C0
0E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C0FFE7FCFFE7FC
16147F9319>I<01F80007FE001E07803C03C03801C07000E07000E0F000F0F000F0F000F0F000
F0F000F0F000F07000E07801E03801C03C03C01E078007FE0001F80014147F9317>I<0E3F00FE
FF80FFC3C00F01E00E00F00E00F00E00780E00780E00780E00780E00780E00780E00780E00700E
00F00F00F00F01E00FC3C00EFF800E3E000E00000E00000E00000E00000E00000E00000E0000FF
E000FFE000151D7F9319>I<03E1800FF9801E1F803C0780780780780380700380F00380F00380
F00380F00380F00380F003807003807803807807803C0F801E1F800FF38003E380000380000380
000380000380000380000380000380003FF8003FF8151D7E9318>I<0E78FEFCFF9E0F1E0F0C0F
000E000E000E000E000E000E000E000E000E000E000E000E00FFE0FFE00F147F9312>I<1F903F
F07070E030E030E030F00078007F803FE00FF000F0C078C038C038E038E038F070DFE08F800D14
7E9312>I<06000600060006000E000E001E003E00FFF8FFF80E000E000E000E000E000E000E00
0E000E000E000E180E180E180E180E18073007E003C00D1C7F9B12>I<0E01C0FE1FC0FE1FC00E
01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E03C00E
03C0070FC007FDFC01F1FC16147F9319>I<FF87F8FF87F81E01E00E01C00E01800E0180070300
070300070300038600038600038E0001CC0001CC0001FC0000F80000F800007000007000007000
15147F9318>I<FF9FF3FCFF9FF3FC1C0780F01C0780601C07C0E00E0FC0C00E0CC0C00E0CE0C0
070CE18007186180071871800398730003B0330003B0330003B03F0001F03E0001E01E0001E01E
0000E01C0000C00C001E147F9321>I<7FC7FC7FC7FC0703E007038003830001C70000EE0000EC
00007800003800003C00007C0000EE0001C7000187000303800701C00F01E0FF87FEFF87FE1714
809318>I<FF87F8FF87F81E01E00E01C00E01800E018007030007030007030003860003860003
8E0001CC0001CC0001FC0000F80000F80000700000700000700000600000600000600000C000F0
C000F18000F380007F00003C0000151D7F9318>I<3FFF3FFF380E301C703C6038607060F001E0
01C0038007830F030E031C073C063806701EFFFEFFFE10147F9314>I<FFFFFCFFFFFC1602808C
17>I E /Fv 45 122 df<70F8FCFC7C0C0C0C0C181830306040060F7C840E>44
D<FFE0FFE0FFE00B037F8B10>I<70F8F8F87005057C840E>I<01F00007FC000E0E001C07003803
803803807803C07001C07001C07001C0F001E0F001E0F001E0F001E0F001E0F001E0F001E0F001
E0F001E0F001E0F001E0F001E0F001E0F001E07001C07001C07001C07803C03803803803801C07
000E0E0007FC0001F00013227EA018>48 D<018003800F80FF80F3800380038003800380038003
800380038003800380038003800380038003800380038003800380038003800380038003800380
0380FFFEFFFE0F217CA018>I<03F0000FFC001C1F003007807007807807C07807C07803C03807
C00007C0000780000780000F00000E00003C0003F80003F800001E00000F000007800007C00003
C00003E02003E07003E0F803E0F803E0F003C06003C06007803007801C1F000FFC0003F0001322
7EA018>51 D<000E00000E00001E00001E00003E00003E00006E0000EE0000CE0001CE00018E00
030E00070E00060E000E0E000C0E00180E00180E00300E00700E00600E00E00E00FFFFF8FFFFF8
000E00000E00000E00000E00000E00000E00000E0001FFF001FFF015217FA018>I<1000801C07
801FFF001FFE001FFC001FF00018000018000018000018000018000018000018F8001BFE001F0F
001C07801803801803C00001C00001E00001E00001E00001E06001E0F001E0F001E0F001C0C003
C06003C06003803007001C1E000FFC0003F00013227EA018>I<007E0001FF0003C1800701C00E
03C01C03C01C0180380000380000780000700000702000F1FC00F3FE00F60700FC0380F803C0F8
01C0F001C0F001E0F001E0F001E0F001E0F001E07001E07001E07001E03801C03803C01803801C
07000E0E0007FC0001F00013227EA018>I<01F00007FC000E0F001807803803803001C07001C0
7001C07001C07801C07803803E03803F07001FCE000FFC0003F80003FC000F7F001C3F80380F80
7007C07003C0E001E0E000E0E000E0E000E0E000E0E000E07001C07001C03803801E0F000FFE00
03F00013227EA018>56 D<01F00007FC000E0E001C0700380380780380700380F001C0F001C0F0
01C0F001E0F001E0F001E0F001E0F001E07001E07003E07803E03807E01C0DE00FF9E007F1E000
81C00001C00003C0000380000380300700780700780E00701C003838001FF0000FC00013227EA0
18>I<000180000003C0000003C0000003C0000007E0000007E0000007E000000FF000000CF000
000CF000001CF800001878000018780000383C0000303C0000303C0000601E0000601E0000601E
0000C00F0000C00F0000C00F0001FFFF8001FFFF8001800780030003C0030003C0030003C00600
01E0060001E0060001E00E0000F01F0001F0FFC00FFFFFC00FFF20237EA225>65
D<000FE010003FF83000F81C7001E0067003C003F0078001F00F0000F01E0000F03E0000703C00
00707C0000707C0000307800003078000030F8000030F8000000F8000000F8000000F8000000F8
000000F8000000F800000078000030780000307C0000307C0000303C0000603E0000601E000060
0F0000C0078000C003C0018001E0030000F80E00003FF800000FE0001C247DA223>67
D<FFFFFFC0FFFFFFC007800FC0078003C0078001C0078000C0078000E0078000E0078000600780
60600780606007806060078060000780E0000781E00007FFE00007FFE0000781E0000780E00007
806000078060000780601807806018078000180780003007800030078000300780003007800070
078000F0078001F0078007E0FFFFFFE0FFFFFFE01D227EA121>69 D<FFFFFFC0FFFFFFC007800F
C0078003C0078001C0078000C0078000E0078000E0078000600780006007806060078060600780
6000078060000780E0000781E00007FFE00007FFE0000781E0000780E000078060000780600007
806000078060000780000007800000078000000780000007800000078000000780000007800000
FFFE0000FFFE00001B227EA120>I<FFFCFFFC0780078007800780078007800780078007800780
078007800780078007800780078007800780078007800780078007800780078007800780078007
80FFFCFFFC0E227EA112>73 D<FFC00003FFFFE00007FF07E00007E007E00007E006F0000DE006
F0000DE006F0000DE006780019E006780019E006780019E0063C0031E0063C0031E0063C0031E0
061E0061E0061E0061E0061E0061E0060F00C1E0060F00C1E006078181E006078181E006078181
E00603C301E00603C301E00603C301E00601E601E00601E601E00601E601E00600FC01E00600FC
01E00600FC01E006007801E01F807801E0FFF0783FFFFFF0303FFF28227EA12D>77
D<FF800FFFFFC00FFF07C001F807E0006007F0006006F000600678006006780060063C0060063E
0060061E0060060F0060060F0060060780600607C0600603C0600601E0600601E0600600F06006
0078600600786006003C6006003C6006001E6006000F6006000F60060007E0060007E0060003E0
060001E0060001E01F8000E0FFF000E0FFF0006020227EA125>I<FFFFF000FFFFFC0007803F00
07800F8007800780078003C0078003C0078003E0078003E0078003E0078003E0078003E0078003
C0078003C00780078007800F8007803F0007FFFC0007FFF0000780000007800000078000000780
0000078000000780000007800000078000000780000007800000078000000780000007800000FF
FC0000FFFC00001B227EA121>80 D<FFFFE00000FFFFF8000007803E000007800F000007800780
00078007C000078003E000078003E000078003E000078003E000078003E000078003E000078007
C000078007800007800F000007803E000007FFF8000007FFF00000078078000007803C00000780
1E000007800E000007800F000007800F000007800F000007800F000007800F800007800F800007
800F800007800F818007800FC180078007C180FFFC03E300FFFC01FE000000007C0021237EA124
>82 D<03F0200FFC601C0EE03803E07001E07001E0E000E0E000E0E00060E00060E00060F00000
F000007800007F00003FF0001FFE000FFF0003FF80003FC00007E00001E00000F00000F0000070
C00070C00070C00070C00070E00060E000E0F000C0F801C0EF0380C7FF0081FC0014247DA21B>
I<7FFFFFF87FFFFFF87C0780F8700780386007801860078018E007801CC007800CC007800CC007
800CC007800CC007800C0007800000078000000780000007800000078000000780000007800000
078000000780000007800000078000000780000007800000078000000780000007800000078000
00078000000780000007800003FFFF0003FFFF001E227EA123>I<0FE0001FF8003C1C003C0E00
180700000700000700000F0003FF000FFF003F07007C0700780700F00700F00718F00718F00F18
780F187C3FB83FF3F00FC3C015157E9418>97 D<0E0000FE0000FE00001E00000E00000E00000E
00000E00000E00000E00000E00000E00000E00000E00000E1F800E7FE00FC0F00F00780E00380E
003C0E001C0E001E0E001E0E001E0E001E0E001E0E001E0E001E0E001C0E003C0F00380F80700F
C1F00C7FC00C1F0017237FA21B>I<01FE0007FF000F07801C0780380300780000700000F00000
F00000F00000F00000F00000F00000F000007800007800C03C00C01E01800F030007FE0001F800
12157E9416>I<0000E0000FE0000FE00001E00000E00000E00000E00000E00000E00000E00000
E00000E00000E00000E003F0E007FEE01F07E03C01E03800E07800E07000E0F000E0F000E0F000
E0F000E0F000E0F000E0F000E07000E07800E03801E03C03E01E0EF00FFCFE03F0FE17237EA21B
>I<01FC0007FF000F07801C03C03801C07801E07000E0FFFFE0FFFFE0F00000F00000F00000F0
0000F000007800007800603C00601E00C00F838007FF0000FC0013157F9416>I<003C00FE01CF
038F038F070007000700070007000700070007000700FFF8FFF807000700070007000700070007
0007000700070007000700070007000700070007007FF87FF8102380A20F>I<0000F001F1F807
FFB80F1F381E0F001C07003C07803C07803C07803C07803C07801C07001E0F000F1E001FFC0019
F0001800001800001C00001FFF000FFFC01FFFE03801F0700070E00038E00038E00038E0003870
00707800F01E03C00FFF8001FC0015217F9518>I<0E0000FE0000FE00001E00000E00000E0000
0E00000E00000E00000E00000E00000E00000E00000E00000E1F800E7FC00FC1E00F80F00F0070
0E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E0070
0E0070FFE7FFFFE7FF18237FA21B>I<1C001E003E001E001C0000000000000000000000000000
0000000E00FE00FE001E000E000E000E000E000E000E000E000E000E000E000E000E000E000E00
0E00FFC0FFC00A227FA10E>I<01C003E003E003E001C000000000000000000000000000000000
01E00FE00FE001E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000
E000E000E000E000E000E000E060C0F1C0F1807F003E000B2C82A10F>I<0E0000FE0000FE0000
1E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E0FFC0E0FFC
0E07E00E03800E07000E0E000E18000E30000E78000EF8000F9C000F1E000E0E000E07000E0780
0E03C00E01C00E01E00E01F0FFE3FEFFE3FE17237FA21A>I<0E00FE00FE001E000E000E000E00
0E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E
000E000E000E000E000E000E00FFE0FFE00B237FA20E>I<0E1FC07F00FE7FE1FF80FEC0F303C0
1F807E01E00F003C00E00E003800E00E003800E00E003800E00E003800E00E003800E00E003800
E00E003800E00E003800E00E003800E00E003800E00E003800E00E003800E00E003800E00E0038
00E0FFE3FF8FFEFFE3FF8FFE27157F942A>I<0E1F80FE7FC0FFC1E01F80F00F00700E00700E00
700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E0070FFE7
FFFFE7FF18157F941B>I<01FC0007FF000F07801C01C03800E07800F0700070F00078F00078F0
0078F00078F00078F00078F000787000707800F03800E01C01C00F078007FF0001FC0015157F94
18>I<0E1F80FE7FE0FFC1F00F00780E00780E003C0E003C0E001E0E001E0E001E0E001E0E001E
0E001E0E001E0E003C0E003C0F00780F80700FC1F00E7FC00E1F000E00000E00000E00000E0000
0E00000E00000E00000E0000FFE000FFE000171F7F941B>I<0E3CFEFEFFCF1F8F0F060F000E00
0E000E000E000E000E000E000E000E000E000E000E000E00FFF0FFF010157F9413>114
D<0F883FF87078E038E018E018E018F0007F003FE01FF001F8003CC01CC01CE01CE01CF018F878
DFF08FC00E157E9413>I<060006000600060006000E000E000E001E003E00FFF8FFF80E000E00
0E000E000E000E000E000E000E000E000E0C0E0C0E0C0E0C0E0C0E08071803F001E00E1F7F9E13
>I<0E0070FE07F0FE07F01E00F00E00700E00700E00700E00700E00700E00700E00700E00700E
00700E00700E00700E00700E00F00E01F007037803FE7F01F87F18157F941B>I<FFC3FEFFC3FE
1E00F80E00600E00600700C00700C00700C003818003818003C38001C30001C30000E60000E600
00E600007C00007C00007C0000380000380017157F941A>I<FF8FF9FFFF8FF9FF1E01C07C1C03
C0380E03E0300E03E0300E0660300706706007067060070E7060038C30C0038C38C0039C38C001
D8198001D81D8001D81D8001F00F8000F00F0000F00F0000E007000060060020157F9423>I<FF
C3FEFFC3FE1E00F80E00600E00600700C00700C00700C003818003818003C38001C30001C30000
E60000E60000E600007C00007C00007C00003800003800003000003000007000006000006000F0
C000F1C000F380007F00003E0000171F7F941A>121 D E /Fw 20 118 df<FFFF80FFFF80FFFF
8011037F9016>45 D<FFFFFFE00000FFFFFFFC000007E0007F000003E0000F800003E00007C000
03E00001E00003E00000F00003E00000780003E000007C0003E000003E0003E000003E0003E000
001F0003E000001F0003E000000F8003E000000F8003E000000FC003E000000FC003E0000007C0
03E0000007C003E0000007E003E0000007E003E0000007E003E0000007E003E0000007E003E000
0007E003E0000007E003E0000007E003E0000007E003E0000007E003E0000007E003E0000007C0
03E0000007C003E0000007C003E000000FC003E000000F8003E000000F8003E000000F8003E000
001F0003E000001F0003E000003E0003E000007C0003E00000780003E00000F80003E00001F000
03E00007E00003E0000F800007E0007F0000FFFFFFFC0000FFFFFFE000002B317CB033>68
D<FFFF80FFFF8007F00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
0003E00003E00003E00003E00003E00003E00003E00007F000FFFF80FFFF8011317DB017>73
D<FFF00000007FF8FFF8000000FFF807F8000000FF0003F8000000FE00037C000001BE00037C00
0001BE00037C000001BE00033E0000033E00033E0000033E00033E0000033E00031F0000063E00
031F0000063E00031F0000063E00030F80000C3E00030F80000C3E00030F80000C3E000307C000
183E000307C000183E000307C000183E000303E000303E000303E000303E000303E000303E0003
01F000603E000301F000603E000301F000C03E000300F800C03E000300F800C03E0003007C0180
3E0003007C01803E0003007C01803E0003003E03003E0003003E03003E0003003E03003E000300
1F06003E0003001F06003E0003001F06003E0003000F8C003E0003000F8C003E0003000F8C003E
00030007D8003E00030007D8003E00030007D8003E00030003F0003E00030003F0003E00030003
F0003E00078001E0003E000FC001E0007F00FFFC01E00FFFF8FFFC00C00FFFF835317CB03D>77
D<FFFFFFC000FFFFFFF80007E000FE0003E0001F0003E0000F8003E00007C003E00003E003E000
03F003E00001F003E00001F003E00001F803E00001F803E00001F803E00001F803E00001F803E0
0001F803E00001F003E00001F003E00003F003E00003E003E00007C003E0000F8003E0001F0003
E000FE0003FFFFF80003FFFFC00003E000000003E000000003E000000003E000000003E0000000
03E000000003E000000003E000000003E000000003E000000003E000000003E000000003E00000
0003E000000003E000000003E000000003E000000003E000000003E000000003E000000007F000
0000FFFF800000FFFF80000025317CB02D>80 D<007F802001FFE06007C0F8600F001CE01E000F
E03C0007E0380003E0780001E0700001E0700000E0F00000E0F00000E0F0000060F0000060F000
0060F8000060F80000007C0000007E0000003F0000003FC000001FF800000FFF800007FFF80003
FFFC0000FFFF00000FFF800000FFC000001FE0000007E0000003F0000001F0000000F0000000F8
000000F8C0000078C0000078C0000078C0000078C0000078E0000078E0000070F00000F0F00000
E0F80000E0FC0001C0FE000380E7800700C1F01E00C07FFC00800FF0001D337CB125>83
D<01FE00000FFFC0001C03E0003C00F0003E0078003E003C003E001C0008001E0000001E000000
1E0000001E0000001E000001FE00003FFE0001FF1E0007F01E000F801E001F001E003E001E007C
001E007C001E00F8001E0CF8001E0CF8001E0CF8003E0CF8003E0C7C007E0C3E00DF1C1F038FB8
0FFF07F003F803C01E1F7D9E21>97 D<003FC000FFF803E01C07801E0F003E1E003E1E003E3C00
087C00007C0000780000F80000F80000F80000F80000F80000F80000F80000F80000F800007C00
007C00007C00003E00031E00031F00060F800E07C01C03F03800FFE0003F80181F7D9E1D>99
D<000001E000003FE000003FE0000003E0000001E0000001E0000001E0000001E0000001E00000
01E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E0000001E000
3F81E000FFE1E003E079E007800DE00F0007E01E0003E01E0001E03C0001E07C0001E07C0001E0
780001E0F80001E0F80001E0F80001E0F80001E0F80001E0F80001E0F80001E0F80001E0F80001
E0780001E07C0001E07C0001E03C0001E03E0003E01E0007E00F000FE007801DE003E071F001FF
E1FF003F01FF20327DB125>I<003F800000FFE00003E0F80007803C000F001E001E001E001E00
0F003C000F007C000F007C000F8078000780F8000780FFFFFF80FFFFFF80F8000000F8000000F8
000000F8000000F8000000F8000000780000007C0000003C0000003C0001801E0001800F000300
0F80060007C00E0001F03C0000FFF000001FC000191F7E9E1D>I<0003E0001FF8003C3800707C
00F07C01E07C01E03803C00003C00003C00003C00003C00003C00003C00003C00003C00003C000
03C00003C000FFFFC0FFFFC003C00003C00003C00003C00003C00003C00003C00003C00003C000
03C00003C00003C00003C00003C00003C00003C00003C00003C00003C00003C00003C00003C000
03C00003C00003C00003C00007E0007FFF007FFF0016327FB114>I<000000F0007F03F801FFCF
1C03C1FC1C0780F8180F0078001F007C001E003C003E003E003E003E003E003E003E003E003E00
3E003E003E003E003E001E003C001F007C000F0078000780F0000FC1E0000DFFC0001C7F000018
000000180000001C0000001C0000001E0000000FFFF8000FFFFF0007FFFF800FFFFFC01E0007E0
380001F07000007070000078E0000038E0000038E0000038E0000038E000003870000070780000
F03C0001E01E0003C007C01F0001FFFC00003FE0001E2F7E9F21>I<07000F801F801F800F8007
00000000000000000000000000000000000000000000000780FF80FF800F800780078007800780
078007800780078007800780078007800780078007800780078007800780078007800780078007
800FC0FFF8FFF80D307EAF12>105 D<0781FE003FC000FF87FF80FFF000FF8E07C1C0F8000F98
03E3007C0007B001E6003C0007E000FC001E0007C000F8001E0007C000F8001E0007C000F8001E
00078000F0001E00078000F0001E00078000F0001E00078000F0001E00078000F0001E00078000
F0001E00078000F0001E00078000F0001E00078000F0001E00078000F0001E00078000F0001E00
078000F0001E00078000F0001E00078000F0001E00078000F0001E00078000F0001E00078000F0
001E00078000F0001E00078000F0001E000FC001F8003F00FFFC1FFF83FFF0FFFC1FFF83FFF034
1F7E9E38>109 D<0781FE0000FF87FF8000FF8E07C0000F9803E00007B001E00007E000F00007
C000F00007C000F00007C000F000078000F000078000F000078000F000078000F000078000F000
078000F000078000F000078000F000078000F000078000F000078000F000078000F000078000F0
00078000F000078000F000078000F000078000F000078000F000078000F0000FC001F800FFFC1F
FF80FFFC1FFF80211F7E9E25>I<001FC00000FFF80001E03C0007800F000F0007801E0003C01E
0003C03C0001E03C0001E0780000F0780000F0780000F0F80000F8F80000F8F80000F8F80000F8
F80000F8F80000F8F80000F8F80000F8780000F07C0001F03C0001E03C0001E01E0003C01E0003
C00F00078007C01F0001F07C0000FFF800001FC0001D1F7E9E21>I<0783E0FF8FF8FF9C7C0FB0
7C07F07C07E03807C00007C00007C0000780000780000780000780000780000780000780000780
000780000780000780000780000780000780000780000780000780000780000780000FC000FFFE
00FFFE00161F7E9E19>114 D<01FC100FFF301E03F03800F0700070E00070E00030E00030E000
30F00030F800007E00003FF0001FFF000FFF8003FFE0003FF00003F8000078C0003CC0003CC000
1CE0001CE0001CF0001CF00018F80038FC0070EF01E0C3FFC080FE00161F7E9E1A>I<00C00000
C00000C00000C00000C00001C00001C00001C00003C00003C00007C0000FC0001FC000FFFFE0FF
FFE003C00003C00003C00003C00003C00003C00003C00003C00003C00003C00003C00003C00003
C00003C00003C00003C00003C03003C03003C03003C03003C03003C03003C03003C03001E06001
E06000F0C0007F80001F00142C7FAB19>I<078000F000FF801FF000FF801FF0000F8001F00007
8000F000078000F000078000F000078000F000078000F000078000F000078000F000078000F000
078000F000078000F000078000F000078000F000078000F000078000F000078000F000078000F0
00078000F000078000F000078000F000078001F000078001F000078003F000038007F00003C00E
F00001F03CF80000FFF0FF80003FC0FF80211F7E9E25>I E /Fx 5 85 df<0000000060000000
0000E00000000000E00000000001E00000000001F00000000003F00000000003F00000000007F0
000000000FF0000000000FF0000000001BF0000000001BF00000000033F00000000033F0000000
0063F00000000063F000000000C3F000000001C3F00000000183F00000000303F00000000303F0
0000000603F80000000603F80000000C01F80000000C01F80000001801F80000003801F8000000
3001F80000006001F80000006001F8000000C001F8000000C001F80000018001F8000001FFFFF8
000003FFFFF80000070001F80000060001F800000C0001F800000C0001F80000180001FC000018
0001FC0000300000FC0000300000FC0000600000FC0000E00000FC0000C00000FC0001C00000FC
0003C00000FC000FE00003FC00FFFC003FFFE0FFF8003FFFE02B337CB234>65
D<000FFFFFFC00000FFFFFFF8000007F000FC000007E0003E000007E0001F000007E0000F80000
7E00007C0000FC00007C0000FC00003E0000FC00003E0000FC00003E0001F800001E0001F80000
1F0001F800001F0001F800001F0003F000001F0003F000001F0003F000001F0003F000001F0007
E000003F0007E000003F0007E000003F0007E000003F000FC000003E000FC000007E000FC00000
7E000FC000007E001F8000007C001F800000FC001F800000FC001F800000F8003F000001F8003F
000001F0003F000003F0003F000003E0007E000007E0007E000007C0007E00000F80007E00000F
0000FC00001F0000FC00003E0000FC00007C0000FC0000F80001F80001F00001F80007C00001F8
000F800003F8007E0000FFFFFFF80000FFFFFFC0000030317BB035>68 D<000FFFFFFFF8000FFF
FFFFF800007F0003F800007E0000F800007E00007800007E00007800007E0000300000FC000030
0000FC0000300000FC0000300000FC0000300001F80000300001F80000300001F80000300001F8
0000600003F00180600003F00180000003F00180000003F00180000007E00300000007E0030000
0007E00700000007E01F0000000FFFFE0000000FFFFE0000000FC01E0000000FC00E0000001F80
0C0000001F800C0000001F800C0000001F800C0000003F00180000003F00180000003F00000000
003F00000000007E00000000007E00000000007E00000000007E0000000000FC0000000000FC00
00000000FC0000000000FC0000000001F80000000001F80000000001F80000000003F800000000
FFFFF0000000FFFFF00000002D317BB02E>70 D<000FFFFFE000000FFFFFFC0000007F003F0000
007E000F8000007E0007C000007E0003E000007E0003F00000FC0001F00000FC0001F00000FC00
01F00000FC0001F00001F80003F00001F80003F00001F80003F00001F80003E00003F00007E000
03F00007C00003F0000FC00003F0001F800007E0003F000007E0007C000007E000F8000007E007
E000000FFFFF8000000FFFFF0000000FC00FC000000FC007E000001F8003F000001F8001F00000
1F8001F800001F8001F800003F0001F800003F0001F800003F0001F800003F0001F800007E0003
F000007E0003F000007E0003F000007E0003F00000FC0007E00000FC0007E00000FC0007E00000
FC0007E01801F80007E03001F80007E03001F80007E06003F80003E060FFFFE001F1C0FFFFC000
FF80000000003E002D327BB033>82 D<07FFFFFFFFF007FFFFFFFFF00FE007F007F00F8007E001
F00E0007E000E00C0007E000E01C0007E000E018000FC000E018000FC000E030000FC000C03000
0FC000C030001F8000C060001F8000C060001F8000C060001F8000C0C0003F00018000003F0000
0000003F00000000003F00000000007E00000000007E00000000007E00000000007E0000000000
FC0000000000FC0000000000FC0000000000FC0000000001F80000000001F80000000001F80000
000001F80000000003F00000000003F00000000003F00000000003F00000000007E00000000007
E00000000007E00000000007E0000000000FC0000000000FC0000000000FC0000000000FC00000
00001F80000000001F80000000001F80000000003F800000007FFFFF8000007FFFFF8000002C31
74B032>84 D E end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 300
TeXDict begin
%%EndSetup
%%Page: 1 1
bop 75 361 a Ft(Chapter)31 b(1)75 568 y Fs(One)39 b(Sided)e(Comm)m
(unications)75 809 y Fr(1.1)59 b(Intro)r(duction)75 910 y Fu(Remote)11
b(Memory)f(Access)i(\(RMA\))e(extends)i(the)f(comm)o(unication)g(mec)o
(hanisms)h(of)e(MPI)h(b)o(y)g(allo)o(wing)75 967 y(one)k(pro)q(cess)g(to)f
(sp)q(ecify)i(all)f(comm)o(unication)h(parameters,)d(b)q(oth)i(for)f(the)h
(sending)g(side)h(and)f(for)f(the)75 1023 y(receiving)j(side.)166
1080 y(This)f(mo)q(de)f(of)g(comm)o(unication)h(facilitates)g(the)f(co)q
(ding)h(of)f(some)g(applications)i(with)e(dynami-)75 1136 y(cally)f(c)o
(hanging)f(data)e(access)i(patterns)f(but)h(where)f(the)h(data)f
(distribution)i(is)f(\014xed)g(or)f(slo)o(wly)h(c)o(hang-)75
1193 y(ing.)23 b(Eac)o(h)16 b(pro)q(cess)g(can)g(compute)g(what)g(data)f(it)h
(needs)h(to)f(access)g(or)f(up)q(date)i(at)e(other)h(pro)q(cesses.)75
1249 y(Ho)o(w)o(ev)o(er,)j(pro)q(cesses)g(ma)o(y)g(not)f(kno)o(w)h(whic)o(h)h
(data)e(in)i(their)g(o)o(wn)e(memory)h(need)h(b)q(e)g(accessed)f(or)75
1306 y(up)q(dated)g(b)o(y)g(remote)f(pro)q(cesses,)h(nor)f(do)g(they)h(kno)o
(w)f(the)g(iden)o(tit)o(y)i(of)e(these)g(pro)q(cesses.)30 b(Regular)75
1362 y(send/receiv)o(e)19 b(comm)o(unication)g(requires)f(matc)o(hing)g(op)q
(erations)g(b)o(y)g(sender)g(and)g(receiv)o(er.)29 b(In)18
b(our)75 1418 y(situation,)g(only)f(one)h(op)q(eration)f(out)g(of)g(eac)o(h)g
(matc)o(hing)g(pair)h(is)g(sp)q(eci\014ed.)28 b(In)17 b(order)g(to)g(issue)h
(the)75 1475 y(matc)o(hing)i(op)q(erations,)h(one)g(needs)f(to)g(compute)g
(the)g(in)o(v)o(erse)h(of)f(the)g(mapping)h(sp)q(eci\014ed)h(b)o(y)e(the)75
1531 y(transfer)g(requests.)37 b(This)21 b(requires)h(all)g(pro)q(cesses)f
(to)f(participate)i(in)g(a)e(time)i(consuming)f(global)75 1588
y(computation,)15 b(or)h(to)f(p)q(erio)q(dically)k(p)q(oll)e(for)e(p)q(oten)o
(tial)i(messages)e(or)g(data)g(requests)h(to)f(receiv)o(e)i(and)75
1644 y(act)h(up)q(on.)31 b(The)19 b(use)g(of)f(put)g(or)g(get)h(calls)g(a)o
(v)o(oids)f(the)h(need)g(for)f(the)h(global)g(computation)g(or)f(the)75
1701 y(explicit)g(p)q(olling.)25 b(A)16 b(generic)h(example)g(of)e(this)i
(nature)f(is)g(the)h(execution)g(of)e(an)h(assignmen)o(t)g(of)g(the)75
1757 y(form)e Fq(A)24 b(=)f(B\(map\))p Fu(,)14 b(where)h Fq(map)f
Fu(is)i(a)e(p)q(erm)o(utation)h(v)o(ector,)f(and)h Fq(A,)23
b(B)15 b Fu(and)g Fq(map)f Fu(are)h(distributed)h(in)75 1814
y(the)f(same)g(manner.)166 1870 y(Message-passing)23 b(comm)o(unication)h(ac)
o(hiev)o(es)h(t)o(w)o(o)d(e\013ects:)36 b Fp(c)n(ommunic)n(ation)23
b Fu(of)g(data)g(from)75 1927 y(sender)f(to)f(receiv)o(er;)k(and)d
Fp(synchr)n(onization)e Fu(of)h(sender)i(with)f(receiv)o(er.)39
b(The)22 b(RMA)g(design)g(sep-)75 1983 y(arates)d(these)h(t)o(w)o(o)f
(functions.)34 b(Three)21 b(comm)o(unication)f(calls)h(are)f(pro)o(vided:)30
b Fo(MPI)p 1597 1983 14 2 v 16 w(PUT)20 b Fu(\(remote)75 2039
y(write\),)d Fo(MPI)p 309 2039 V 16 w(GET)h Fu(\(remote)e(read\))h(and)h
Fo(MPI)p 896 2039 V 15 w(A)o(CCUMULA)l(TE)g Fu(\(remote)f(up)q(date\).)26
b(A)18 b(larger)f(n)o(um-)75 2096 y(b)q(er)g(of)f(sync)o(hronization)h(calls)
h(are)e(pro)o(vided,)h(to)f(supp)q(ort)g(di\013eren)o(t)h(sync)o(hronization)
g(st)o(yles.)24 b(The)75 2152 y(design)18 b(is)f(similar)h(to)e(that)g(of)g
(w)o(eakly)h(coheren)o(t)f(memory)h(systems:)22 b(correct)16
b(ordering)h(of)g(memory)75 2209 y(accesses)c(has)g(to)f(b)q(e)h(imp)q(osed)h
(b)o(y)f(the)g(user,)g(using)h(sync)o(hronization)f(calls;)i(the)e(implemen)o
(tation)h(can)75 2265 y(dela)o(y)i(comm)o(unication)g(op)q(erations)f(un)o
(til)h(the)g(sync)o(hronization)g(call)g(o)q(ccurs,)f(for)g(e\016ciency)l(.)
166 2322 y(W)l(e)22 b(shall)i(denote)e(b)o(y)g Fn(origin)i
Fu(the)e(pro)q(cess)g(that)g(p)q(erforms)g(the)g(call,)j(and)e(b)o(y)f
Fn(target)h Fu(the)75 2378 y(other)e(pro)q(cess)h(whic)o(h)h(memory)e(is)h
(accessed.)40 b(Th)o(us,)23 b(in)g(a)e(put)h(op)q(eration,)h(source=origin)g
(and)75 2435 y(destination=target;)15 b(in)h(a)f(get)g(op)q(eration,)g
(source=target)f(and)h(destination=origin.)166 2491 y(RMA)g(comm)o
(unications)h(fall)g(in)g(t)o(w)o(o)e(categories:)143 2585
y Fm(\017)23 b Fu(2-part)o(y)14 b(comm)o(unication,)i(where)f(data)g(is)g(mo)
o(v)o(ed)g(from)g(the)g(memory)g(of)f(one)i(pro)q(cess)f(to)g(the)189
2641 y(memory)f(of)h(another,)f(and)h(b)q(oth)g(are)g(in)o(v)o(olv)o(ed)h(in)
g(the)f(comm)o(unication.)21 b(The)15 b(origin)h(pro)q(cess)189
2698 y(executes)c(an)f(RMA)g(call,)i(and)e(the)h(target)e(pro)q(cess)h
(executes)h(some)f(sync)o(hronization)i(call)f(\(suc)o(h)964
2828 y(1)p eop
%%Page: 2 2
bop 75 -100 a Fu(2)746 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)l
(TIONS)189 49 y Fu(as)e(barrier\))h(to)g(ensure)h(that)e(the)h(data)g(has)g
(b)q(een)h(mo)o(v)o(ed.)k(T)o(ypically)l(,)d(the)e(target)f(pro)q(cess)h
(will)189 106 y(then)19 b(access)g(the)f(data)g(using)i(lo)q(cal)g(loads)f
(or)f(stores.)29 b(Although)20 b(b)q(oth)e(sides)i(are)e(in)o(v)o(olv)o(ed,)
189 162 y(the)j(comm)o(unication)h(is)g(not)f(symmetric:)32
b(the)21 b(target)f(pro)q(cess)i(ma)o(y)e(not)h(kno)o(w)g(who)g(it)g(is)189
219 y(sync)o(hronizing)16 b(with,)f(or)g(whic)o(h)h(part)e(of)h(its)g(memory)
g(is)g(remotely)h(accessed.)k(A)15 b(t)o(ypical)h(pro-)189
275 y(gramming)d(mo)q(del)i(mo)q(de)g(in)g(this)g(category)e(is)h(a)g
Fp(lo)n(osely-synchr)n(onous)f Fu(programming)g(mo)q(del,)189
332 y(where)i(global)h(comm)o(unication)g(phases)f(alternate)h(with)f(lo)q
(cal)h(computation)g(phases;)f(barrier)189 388 y(sync)o(hronizations)h
(separate)e(successiv)o(e)j(phases.)143 481 y Fm(\017)23 b
Fu(3-part)o(y)10 b(comm)o(unication,)i(where)g(t)o(w)o(o)e(pro)q(cesses)i
(comm)o(unicate)f(b)o(y)h(accessing)g(the)f(same)g(lo)q(ca-)189
537 y(tion)i(in)h(memory)f(that)f(ma)o(y)g(b)q(e)i(o)o(wned)f(b)o(y)g(a)g
(third)h(pro)q(cess;)f(b)q(oth)h(comm)o(unicating)g(pro)q(cesses)189
594 y(execute)21 b(RMA)f(calls.)36 b(If)21 b(the)f(target)f(windo)o(w)i(is)g
(not)e(o)o(wned)i(b)o(y)f(neither)h(comm)o(unicating)189 650
y(parties,)h(then)g(the)g(target)e(pro)q(cess)h(do)q(es)h(not)f(participate)h
(in)h(the)e(comm)o(unication.)39 b(This)189 707 y(comm)o(unication)20
b(paradigm)g(is)g(closest)g(to)f(a)h(shared)g(memory)f(mo)q(del,)j(where)e
(shared)g(data)189 763 y(can)15 b(b)q(e)h(accessed)g(b)o(y)f(all)h(pro)q
(cesses,)f(irresp)q(ectiv)o(e)i(of)e(data)f(lo)q(cation.)166
855 y(3-part)o(y)g(comm)o(unication)i(will)h(b)q(e)f(supp)q(orted)g(on)f
(distributed)h(memory)f(systems)g(b)o(y)g(an)g(asyn-)75 911
y(c)o(hronous)21 b(\\RMA)g(agen)o(t")f(\(signal)h(handler,)i(thread,)f
(daemon,)g(etc.\))37 b(at)20 b(the)h(target)f(no)q(de)i(that)75
968 y(accepts)16 b(RMA)h(requests)f(and)h(p)q(erforms)f(the)g(required)i
(read)e(or)g(write)g(accesses)h(in)g(the)g(memory)e(of)75 1024
y(the)i(target)f(pro)q(cess.)26 b(This)18 b(agen)o(t)f(has)g(to)f(b)q(e)i(sc)
o(heduled)h(for)e(execution)h(on)f(the)h(target)e(no)q(de)i(ev)o(en)75
1081 y(if)d(the)g(target)e(pro)q(cess)i(do)q(es)g(not)g(execute)g(an)o(y)g
(MPI)f(call.)21 b(Systems)15 b(with)g(dedicated)h(put/get)e(hard-)75
1137 y(w)o(are)h(or)g(comm)o(unication)i(copro)q(cessors)e(\(hardwired)h
(async)o(hronous)g(agen)o(ts\))e(will)k(tak)o(e)d(adv)m(an)o(tage)75
1193 y(of)g(that)f(hardw)o(are,)g(at)h(least)g(for)g(simple)h(transfers.)166
1250 y(2-part)o(y)11 b(comm)o(unication)i(can)f(b)q(e)h(supp)q(orted)f
(without)g(async)o(hronous)g(agen)o(ts)g({)f(although)i(suc)o(h)75
1306 y(agen)o(ts)g(ma)o(y)f(b)q(e)j(used,)f(for)f(p)q(erformance.)19
b(Data)12 b(transfer)h(requires)h(the)g(in)o(v)o(olv)o(emen)o(t)g(of)f(b)q
(oth)g(origin)75 1363 y(and)20 b(target)f(pro)q(cesses,)j(but)e(the)g(in)o(v)
o(olv)o(emen)o(t)h(of)f(the)g(target)f(pro)q(cess)h(ma)o(y)g(b)q(e)h(dela)o
(y)o(ed)f(un)o(til)i(it)75 1419 y(executes)16 b(a)f(sync)o(hronization)h
(call.)166 1476 y(RMA)11 b(can)g(b)q(e)h(implemen)o(ted)g(in)g(coheren)o(t)f
(shared)g(memory)g(systems)f(without)h(an)o(y)g(in)o(v)o(olv)o(emen)o(t)75
1532 y(of)k(the)g(target)f(pro)q(cess)h(in)i(the)e(data)f(transfer.)75
1675 y Fr(1.2)59 b(Initialization)75 1776 y Fu(In)15 b(some)f(systems,)g
(message-passing)h(and)f(RMA)h(op)q(erations)g(will)h(run)e(faster)g(when)h
(accessing)g(sp)q(e-)75 1833 y(cially)20 b(allo)q(cated)g(memory)e(\(e.g.,)g
(memory)g(that)g(is)h(shared)g(b)o(y)g(the)f(other)h(pro)q(cesses)g(in)g(the)
g(com-)75 1889 y(m)o(unicating)d(group,)e(on)h(an)g(SMP\).)f(MPI)g(pro)o
(vides)i(a)e(mec)o(hanism)i(for)e(allo)q(cating)i(and)f(freeing)h(suc)o(h)75
1946 y(sp)q(ecial)h(memory)l(.)j(The)15 b(use)g(of)g(suc)o(h)h(memory)e(for)h
(RMA)g(is)h(not)f(mandatory)l(.)75 2097 y Fo(MPI)p 160 2097
14 2 v 16 w(MEM)p 283 2097 V 16 w(ALLOC\(size,)g(comm)m(,)d(base\))117
2174 y Fk(IN)155 b Fo(size)519 b Fk(size)11 b(of)e(memory)e(segmen)o(t)i(in)g
(b)o(ytes)h(\(non)g(negativ)o(e)f(in)o(teger\))117 2249 y(IN)155
b Fo(comm)466 b Fk(comm)o(unicator)13 b(for)i(group)h(where)g(RMA)f(comm)o
(unication)905 2305 y(is)f(exp)q(ected)i(to)e(o)q(ccur)h(\(handle\))117
2380 y(OUT)108 b Fo(base)505 b Fk(initial)12 b(address)j(of)f(memory)d(allo)q
(cated)i(\(in)o(teger\))75 2504 y Fq(int)23 b(MPI)p 245 2504
15 2 v 17 w(Mem)p 334 2504 V 17 w(alloc\(int)g(size,)g(MPI)p
805 2504 V 17 w(Comm)g(comm,)g(void)g(*base\))75 2591 y(MPI)p
150 2591 V 17 w(MEM)p 239 2591 V 17 w(ALLOC\()g(SIZE,)g(COMM,)g(BASE,)g
(IERROR\))170 2647 y(INTEGER)g(SIZE,)h(COMM,)f(IERROR)170 2704
y(MPI)p 245 2704 V 17 w(AINT)h(BASE)1967 46 y Fj(1)1967 103
y(2)1967 159 y(3)1967 215 y(4)1967 272 y(5)1967 328 y(6)1967
385 y(7)1967 441 y(8)1967 498 y(9)1959 554 y(10)1959 611 y(11)1959
667 y(12)1959 724 y(13)1959 780 y(14)1959 836 y(15)1959 893
y(16)1959 949 y(17)1959 1006 y(18)1959 1062 y(19)1959 1119
y(20)1959 1175 y(21)1959 1232 y(22)1959 1288 y(23)1959 1345
y(24)1959 1401 y(25)1959 1457 y(26)1959 1514 y(27)1959 1570
y(28)1959 1627 y(29)1959 1683 y(30)1959 1740 y(31)1959 1796
y(32)1959 1853 y(33)1959 1909 y(34)1959 1966 y(35)1959 2022
y(36)1959 2078 y(37)1959 2135 y(38)1959 2191 y(39)1959 2248
y(40)1959 2304 y(41)1959 2361 y(42)1959 2417 y(43)1959 2474
y(44)1959 2530 y(45)1959 2587 y(46)1959 2643 y(47)1959 2699
y(48)p eop
%%Page: 3 3
bop 75 -100 a Fl(1.2.)34 b(INITIALIZA)l(TION)1302 b Fu(3)75
49 y Fo(MPI)p 160 49 14 2 v 16 w(MEM)p 283 49 V 16 w(FREE\(base\))117
126 y Fk(IN)155 b Fo(base)505 b Fk(initial)12 b(address)j(of)f(memory)d
(segmen)o(t)i(allo)q(cated)h(b)o(y)905 183 y Fi(MPI)p 982 183
13 2 v 15 w(MEM)p 1094 183 V 15 w(MALLOC)75 307 y Fq(int)23
b(MPI)p 245 307 15 2 v 17 w(Mem)p 334 307 V 17 w(free\(void)g(*base\))75
394 y(MPI)p 150 394 V 17 w(MEM)p 239 394 V 17 w(FREE\()g(BASE,)g(IERROR\))170
450 y(MPI)p 245 450 V 17 w(AINT)h(BASE)166 537 y Fu(The)13
b(F)l(ortran)f(t)o(yp)q(e)h Fi(MPI)p 597 537 13 2 v 15 w(AINT)f
Fu(in)i(the)f(F)l(ortran)f(binding)j(is)f(used)g(to)e(indicate)j(a)d(\\p)q
(oin)o(ter")h(t)o(yp)q(e,)75 593 y(or)20 b(an)h(address)f(sized)i(in)o
(teger.)36 b(This)21 b(is)g(useful)h(only)f(on)g(F)l(ortran)e(systems)h(with)
h(extensions)h(for)75 650 y(\(Cra)o(y\))14 b(p)q(oin)o(ters.)166
782 y Fh(Alternativ)o(es)o(:)134 857 y Fk(1.)22 b(Drop)13 b(the)g
Fi(comm)8 b Fk(argumen)o(t.)16 b(The)e(reason)g(is)f(that)g(it)g(is)g
(misleading,)e(and)i(no)g(examples)f(are)i(kno)o(wn)f(of)189
907 y(systems)h(that)g(w)o(ould)f(use)h(this)g(hin)o(t.)134
981 y(2.)22 b(Replace)9 b(the)h(b)o(yte)g Fi(size)f Fk(b)o(y)g(a)g
Fi(count)i(datat)o(yp)q(e)f Fk(pair.)16 b(The)10 b(windo)o(w)e(size)i(will)e
(b)q(e)i Fi(count)g Fg(\002)g Fi(extent\(datat)o(yp)q(e\))p
Fk(.)189 1195 y Fp(A)n(dvic)n(e)h(to)h(users.)37 b Fu(The)10
b(comm)o(unicator)g(argumen)o(t)g(in)h(the)g(call)h(is)f(only)g(a)f(\\p)q
(erformance)g(hin)o(t":)189 1252 y(the)17 b(allo)q(cated)h(memory)e(ma)o(y)h
(b)q(e)h(used)f(for)g(comm)o(unication)h(with)f(an)o(y)g(comm)o(unicator,)g
(lik)o(e)189 1308 y(an)o(y)d(other)h(memory)l(.)20 b(\()p Fp(End)15
b(of)i(advic)n(e)f(to)g(users.)p Fu(\))189 1414 y Fp(A)n(dvic)n(e)j(to)i
(implementors.)68 b Fu(If)20 b Fo(MPI)p 881 1414 14 2 v 15
w(RMA)p 995 1414 V 17 w(MALLOC)g Fu(allo)q(cates)g(sp)q(ecial)i(memory)l(,)e
(then)g(a)189 1471 y(design)e(similar)h(to)d(the)i(design)g(of)f(C)h(mallo)q
(c)g(and)g(free)f(functions)h(has)g(to)f(b)q(e)h(used,)g(in)g(order)189
1527 y(to)f(\014nd)i(out)e(the)h(size)h(of)f(a)g(memory)f(segmen)o(t,)h(when)
g(the)g(segmen)o(t)g(is)g(freed.)29 b(If)18 b(no)g(sp)q(ecial)189
1584 y(memory)j(is)h(used,)i Fo(MPI)p 633 1584 V 16 w(MEM)p
756 1584 V 16 w(MALLOC)e Fu(simply)h(in)o(v)o(ok)o(es)f Fo(ma)o(llo)q(c)p
Fu(,)f(and)h Fo(MPI)p 1630 1584 V 15 w(MEM)p 1752 1584 V 16
w(FREE)189 1640 y Fu(in)o(v)o(ok)o(es)15 b Fo(free)p Fu(.)189
1715 y(A)h(call)h(to)e Fo(MPI)p 464 1715 V 16 w(RMA)p 579 1715
V 17 w(MALLOC)h Fu(can)g(b)q(e)g(used)h(in)g(shared)f(memory)f(systems)h(to)f
(allo)q(cate)i(the)189 1772 y(windo)o(w)e(in)h(a)f(shared)g(memory)g(segmen)o
(t.)k(\()p Fp(End)d(of)g(advic)n(e)g(to)h(implementors.)p Fu(\))166
1961 y Fh(Missing:)35 b Fk(Need)15 b(new)f(error)h(co)q(des.)75
2150 y Fn(Example)j(1.1)k Fu(Example)13 b(of)f(use)h(of)f Fo(MPI)p
825 2150 V 16 w(RMA)p 940 2150 V 16 w(MALLOC)p Fu(,)g(in)h(F)l(ortran)e(with)
i(p)q(oin)o(ter)g(supp)q(ort.)19 b(W)l(e)75 2206 y(assume)c(4)g(b)o(yte)g
Fi(REAL)p Fu(s.)75 2300 y Fq(REAL)23 b(A)75 2356 y(POINTER)g(\(P,)g
(A\(100,100\)\))70 b(!)24 b(no)g(memory)f(is)g(allocated)75
2413 y(CALL)g(MPI_RMA_MALLOC\(4*100*100,)e(COMM,)i(P,)h(IERR\))695
2469 y(!)g(memory)f(is)h(allocated)166 2563 y Fu(Since)16 b(standard)e(F)l
(ortran)f(77)h(do)q(es)g(not)g(supp)q(ort)h(p)q(oin)o(ters,)f(this)h(co)q(de)
g(is)g(not)f(F)l(ortran)f(77)h(co)q(de.)75 2620 y(It)h(is)h(exp)q(ected)g
(that)f(most)f(\(all?\))21 b(F)l(ortran)14 b(compilers)j(o\013er)d(similar)i
(facilities.)-32 46 y Fj(1)-32 103 y(2)-32 159 y(3)-32 215
y(4)-32 272 y(5)-32 328 y(6)-32 385 y(7)-32 441 y(8)-32 498
y(9)-40 554 y(10)-40 611 y(11)-40 667 y(12)-40 724 y(13)-40
780 y(14)-40 836 y(15)-40 893 y(16)-40 949 y(17)-40 1006 y(18)-40
1062 y(19)-40 1119 y(20)-40 1175 y(21)-40 1232 y(22)-40 1288
y(23)-40 1345 y(24)-40 1401 y(25)-40 1457 y(26)-40 1514 y(27)-40
1570 y(28)-40 1627 y(29)-40 1683 y(30)-40 1740 y(31)-40 1796
y(32)-40 1853 y(33)-40 1909 y(34)-40 1966 y(35)-40 2022 y(36)-40
2078 y(37)-40 2135 y(38)-40 2191 y(39)-40 2248 y(40)-40 2304
y(41)-40 2361 y(42)-40 2417 y(43)-40 2474 y(44)-40 2530 y(45)-40
2587 y(46)-40 2643 y(47)-40 2699 y(48)p eop
%%Page: 4 4
bop 75 -100 a Fu(4)746 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)l
(TIONS)166 49 y Fu(The)h(initialization)j(op)q(eration)d(allo)o(ws)g(eac)o(h)
g(pro)q(cess)h(to)e(sp)q(ecify)l(,)i(in)g(a)f(collectiv)o(e)h(op)q(eration,)f
(a)75 106 y(\\memory)11 b(windo)o(w")h(that)f(is)h(made)g(accessible)h(to)f
(accesses)g(b)o(y)f(remote)h(pro)q(cesses.)19 b(The)12 b(information)75
162 y(is)18 b(attac)o(hed)e(to)h(a)g(comm)o(unicator)g(returned)g(b)o(y)h
(the)f(call.)27 b(The)18 b(initialization)i(op)q(eration)d(sp)q(eci\014es)75
219 y(the)e(lo)q(cation)h(of)f(the)g(windo)o(w)h(in)g(memory)l(.)75
370 y Fo(MPI)p 160 370 14 2 v 16 w(RMA)p 275 370 V 17 w(INIT)e(\(base,)i
(size,)f(disp)p 694 370 V 17 w(unit,)h(comm)m(,)c(new)o(comm)n(\))117
447 y Fk(IN)155 b Fo(base)505 b Fk(initial)12 b(address)j(of)f(windo)o(w)f
(\(c)o(hoice\))117 522 y(IN)155 b Fo(size)519 b Fk(size)15
b(of)e(windo)o(w)g(in)h(b)o(ytes)g(\(non)g(negativ)o(e)g(in)o(teger\))117
597 y(IN)155 b Fo(disp)p 395 597 V 18 w(unit)422 b Fk(unit)16
b(size)h(for)e(displacemen)o(ts)h(in)f(RMA)h(op)q(erations)g(\(non-)905
653 y(negativ)o(e)e(in)o(teger\))117 729 y(IN)155 b Fo(comm)466
b Fk(comm)o(unicator)11 b(\(handle\))117 804 y(OUT)108 b Fo(new)o(comm)393
b Fk(new)15 b(comm)o(uni)o(cator)d(to)h(b)q(e)i(used)g(for)e(RMA)h
(\(handle\))75 928 y Fq(int)23 b(MPI)p 245 928 15 2 v 17 w(RMA)p
334 928 V 17 w(init\(void*)f(base,)i(int)f(size,)g(int)h(disp)p
1187 928 V 16 w(unit,)g(MPI)p 1419 928 V 16 w(Comm)g(comm,)393
985 y(MPI)p 468 985 V 17 w(Comm)f(*newcomm\))75 1071 y(MPI)p
150 1071 V 17 w(RMA)p 239 1071 V 17 w(INIT\(BASE,)f(SIZE,)h(DISP)p
757 1071 V 17 w(UNIT,)g(COMM,)g(NEWCOMM,)g(IERROR\))170 1128
y(<type>)g(BASE\(*\))170 1184 y(INTEGER)g(SIZE,)h(DISP)p 604
1184 V 16 w(UNIT,)f(COMM,)h(NEWCOMM,)e(IERROR)166 1270 y Fu(This)e(is)h(a)e
(collectiv)o(e)j(call)f(executed)g(b)o(y)e(all)i(pro)q(cesses)g(in)f(the)g
(group)g(of)f Fo(comm)m Fu(.)31 b(It)20 b(returns)75 1327 y(a)e(comm)o
(unicator)h(that)f(can)h(b)q(e)g(used)g(b)o(y)g(these)g(pro)q(cesses)g(to)f
(p)q(erform)h(RMA)g(op)q(erations.)30 b(Eac)o(h)75 1383 y(pro)q(cess)16
b(sp)q(eci\014es)i(a)e(windo)o(w)g(of)g(existing)h(memory)e(that)g(it)i(exp)q
(oses)f(to)g(remote)f(accesses)h(b)o(y)g(other)75 1440 y(pro)q(cesses,)j(for)
e(RMA)h(op)q(eration)g(that)f(use)h(comm)o(unicator)g Fo(new)o(comm)m
Fu(.)25 b(The)18 b(windo)o(w)g(consists)g(of)75 1496 y Fo(size)13
b Fu(b)o(ytes,)g(starting)f(at)h(address)g Fo(base)p Fu(.)20
b(A)13 b(pro)q(cess)g(ma)o(y)g(elect)h(to)e(exp)q(ose)i(no)f(memory)f(b)o(y)h
(sp)q(ecifying)75 1553 y Fo(size)i(=)h(0)p Fu(.)166 1609 y(The)g(displacemen)
o(t)h(unit)g(argumen)o(t)e(is)h(pro)o(vided)g(to)f(facilitate)i(address)f
(arithmetics)g(in)h(RMA)75 1666 y(op)q(erations:)j(the)15 b(target)e
(displacemen)o(t)j(argumen)o(t)e(of)h(an)g(RMA)f(op)q(eration)h(is)h(scaled)f
(b)o(y)g(the)g(factor)75 1722 y Fo(disp)p 152 1722 14 2 v 18
w(unit)h Fu(sp)q(eci\014ed)h(b)o(y)e(the)h(target)e(pro)q(cess,)h(at)f(windo)
o(w)i(creation.)166 1779 y(A)i(comm)o(unicator)g(can)g(b)q(e)h(used)g(for)e
(RMA)h(commands)g(only)h(after)e(the)i(RMA)f(initialization)75
1835 y(call.)j(Suc)o(h)15 b(comm)o(unicator)f(can)h(also)f(b)q(e)h(used)g
(for)f(other)g(MPI)h(calls,)g(as)f(an)o(y)h(other)f(comm)o(unicator.)166
1892 y(The)21 b(newly)h(created)f(comm)o(unicator)f Fo(new)o(comm)c
Fu(carries)21 b(all)h(the)f(information)g(cac)o(hed)h(with)75
1948 y Fo(comm)m Fu(,)12 b(including)18 b(top)q(ology)d(information,)g(as)g
(if)g Fo(new)o(comm)10 b Fu(w)o(as)k(created)i(b)o(y)f(duplicating)i
Fo(comm)m Fu(.)166 2004 y(The)i(v)m(arious)h(pro)q(cesses)f(in)h(the)f(group)
g(of)f Fo(comm)13 b Fu(ma)o(y)18 b(sp)q(ecify)j(completely)f(di\013eren)o(t)f
(target)75 2061 y(windo)o(ws,)g(in)h(lo)q(cation,)g(size)f(and)g(displacemen)
o(t)h(units.)31 b(As)18 b(long)h(as)f(all)i(the)f(gets)f(and)h(puts)f(to)g(a)
75 2117 y(particular)e(pro)q(cess)f(\014t)g(its)h(sp)q(eci\014c)h(target)d
(windo)o(w)h(this)h(should)g(p)q(ose)g(no)f(problem.)166 2174
y(The)k(information)h(ab)q(out)f(the)g(set)h(of)e(windo)o(ws)i(asso)q(ciated)
f(with)h Fo(new)o(comm)14 b Fu(is)20 b(cac)o(hed)g(with)75
2230 y(the)13 b(newly)i(created)e(comm)o(unicator)g(\(in)h(the)g(same)f
(manner)g(top)q(ology)g(information)h(is)g(cac)o(hed)f(when)75
2287 y(a)k(top)q(ology)g(is)h(created\).)25 b(Th)o(us,)18 b(this)g
(information)f(is)h(transfered)f(to)f(the)i(newly)g(created)f(comm)o(u-)75
2343 y(nicator)i(if)g Fo(new)o(comm)14 b Fu(is)19 b(duplicated)i(b)o(y)e(a)f
(call)i(to)e Fo(MPI)p 1100 2343 V 16 w(COMM)p 1258 2343 V 17
w(DUP)p Fu(,)g(but)h(is)h(not)e(transfered)h(to)75 2400 y(comm)o(unicators)c
(created)g(b)o(y)g(other)g(calls.)166 2456 y(The)e(same)g(area)g(in)h(memory)
e(ma)o(y)h(app)q(ear)g(in)h(m)o(ultiple)h(windo)o(ws,)e(eac)o(h)g(asso)q
(ciated)h(with)f(a)g(dif-)75 2513 y(feren)o(t)i(comm)o(unicator.)k(Ho)o(wv)o
(er,)14 b(concurren)o(t)h(comm)o(unications)h(to)e(distinct,)i(o)o(v)o
(erlpaing)g(windo)o(ws)75 2569 y(ma)o(y)e(lead)i(to)f(unde\014ned)i(results.)
166 2701 y Fh(Alternativ)o(es)o(:)1967 46 y Fj(1)1967 103 y(2)1967
159 y(3)1967 215 y(4)1967 272 y(5)1967 328 y(6)1967 385 y(7)1967
441 y(8)1967 498 y(9)1959 554 y(10)1959 611 y(11)1959 667 y(12)1959
724 y(13)1959 780 y(14)1959 836 y(15)1959 893 y(16)1959 949
y(17)1959 1006 y(18)1959 1062 y(19)1959 1119 y(20)1959 1175
y(21)1959 1232 y(22)1959 1288 y(23)1959 1345 y(24)1959 1401
y(25)1959 1457 y(26)1959 1514 y(27)1959 1570 y(28)1959 1627
y(29)1959 1683 y(30)1959 1740 y(31)1959 1796 y(32)1959 1853
y(33)1959 1909 y(34)1959 1966 y(35)1959 2022 y(36)1959 2078
y(37)1959 2135 y(38)1959 2191 y(39)1959 2248 y(40)1959 2304
y(41)1959 2361 y(42)1959 2417 y(43)1959 2474 y(44)1959 2530
y(45)1959 2587 y(46)1959 2643 y(47)1959 2699 y(48)p eop
%%Page: 5 5
bop 75 -100 a Fl(1.2.)34 b(INITIALIZA)l(TION)1302 b Fu(5)134
49 y Fk(1.)22 b(Change)d(so)g(that,)h(if)f Fi(new)o(comm)14
b Fk(is)19 b(duplicated,)i(then)e(the)h(new)g(cop)o(y)f(is)g(not)h(asso)q
(ciated)g(with)e(an)o(y)189 99 y(windo)o(w:)d(only)10 b(comm)o(unicators)e
(created)k(b)o(y)e(a)g(call)f(to)i Fi(MPI)p 1150 99 13 2 v
14 w(RMA)p 1255 99 V 15 w(INIT)f Fk(are)h(asso)q(ciated)g(with)f(windo)o(ws.)
189 149 y(This)k(alternativ)o(e)g(ma)o(y)e(b)q(e)j(b)q(etter)g(than)f(the)h
(curren)o(t)h(text,)e(since)h(the)g(curren)o(t)g(text)g(implies)d(that)i(t)o
(w)o(o)189 199 y(references)i(are)f(created)g(to)f(the)g(same)f(windo)o
(w\(s\),)h(making)d(the)j(use)h(of)e(windo)o(ws)h(more)f(error-prone.)134
273 y(2.)22 b(Replace)c(the)h Fi(disp)p 494 273 V 16 w(unit)g
Fk(argumen)o(t)e(b)o(y)h(a)h Fi(datat)o(yp)q(e)g Fk(argumen)o(t,)f(with)g
(the)h(displacemen)o(t)f(unit)g(b)q(eing)189 323 y Fi(extent\(datat)o(yp)q
(e\))p Fk(.)134 398 y(3.)k(Rolf)12 b(prop)q(oses)j(to)f(add)g(an)f
Fi(info)h Fk(argumen)o(t)f(that)h(pro)o(vides)g(optimization)d(hin)o(ts)j(to)
f(the)i(run)o(time.)189 612 y Fp(A)n(dvic)n(e)k(to)i(users.)70
b Fu(The)20 b(displacemen)o(t)h(unit)g(argumen)o(t)f(facilitates)g
(computation)g(of)g(dis-)189 668 y(placemen)o(ts)d(in)h(a)e(heterogeneous)h
(en)o(vironmen)o(t.)25 b(Supp)q(ose)17 b(that)f(eac)o(h)h(windo)o(w)g(con)o
(tains)g(an)189 725 y(arra)o(y)f(of)h(\015oats.)25 b(The)17
b(size)i(of)e Fi(\015oat)g Fu(ma)o(y)f(di\013er)i(on)f(di\013eren)o(t)h(mac)o
(hines.)27 b(Eac)o(h)17 b(pro)q(cess)g(will)189 781 y(pro)o(vide)h(a)g
(displacemen)o(t)h(unit)g(whic)o(h)g(is)g(the)f(exten)o(t)f(of)h
Fi(MPI)p 1303 781 V 14 w(FLO)o(A)m(T)p Fu(.)f(Then,)i(en)o(tries)f(of)g(the)
189 838 y(arra)o(y)d(in)h(a)g(target)f(pro)q(cess)i(can)f(b)q(e)h(sp)q
(eci\014ed)h(b)o(y)e(their)h(index,)g(with)f(the)g(righ)o(t)g(scaling)i(done)
189 894 y(automatically)d(b)o(y)g(MPI.)g(If)h Fo(disp)p 778
894 14 2 v 17 w(unit)h(=)e(1)p Fu(,)g(then)g(b)o(yte)g(displacemen)o(ts)i
(are)e(used.)189 969 y(A)21 b(windo)o(w)g(can)g(b)q(e)h(created)f(in)g(an)o
(y)g(part)g(of)f(the)h(pro)q(cess)g(memory)l(.)37 b(Ho)o(w)o(ev)o(er,)21
b(on)g(some)189 1026 y(systems,)g(the)g(p)q(erformance)f(of)h(windo)o(ws)g
(in)g(memory)f(allo)q(cated)i(b)o(y)f Fo(MPI)p 1565 1026 V
15 w(RMA)p 1679 1026 V 17 w(MALLOC)189 1082 y Fu(will)i(b)q(e)g(b)q(etter.)41
b(Suc)o(h)22 b(\\go)q(o)q(d")g(windo)o(w)g(for)g(RMA)g(comm)o(unication)h(is)
f(created)g(b)o(y)g(\014rst)189 1139 y(allo)q(cating)16 b(\\go)q(o)q(d")g
(memory)f(with)h Fo(MPI)p 920 1139 V 16 w(RMA)p 1035 1139 V
16 w(MALLOC)p Fu(,)g(next)f(creating)h(an)g(RMA)g(windo)o(w)189
1195 y(in)g(the)f(memory)g(allo)q(cated)h(with)f Fo(MPI)p 877
1195 V 16 w(RMA)p 992 1195 V 17 w(INIT)p Fu(.)189 1270 y(Also,)g(on)g(some)g
(systems,)g(p)q(erformance)g(is)h(impro)o(v)o(ed)g(when)g(windo)o(ws)f(b)q
(oundaries)i(are)e(w)o(ord)189 1327 y(or)f(double-w)o(ord)i(aligned.)22
b(\()p Fp(End)15 b(of)i(advic)n(e)f(to)g(users.)p Fu(\))189
1433 y Fp(A)n(dvic)n(e)g(to)i(implementors.)50 b Fu(In)17 b(cases)g(where)g
(RMA)f(op)q(erations)h(use)g(di\013eren)o(t)g(mec)o(hanisms)189
1489 y(in)d(di\013eren)o(t)f(memory)g(areas)f(\(e.g.,)g(load/store)h(in)h(a)f
(shared)g(memory)g(segmen)o(t,)f(and)i(an)f(asyn-)189 1546
y(c)o(hronous)21 b(handler)h(in)g(priv)m(ate)g(memory\),)g(the)f
Fo(MPI)p 1157 1546 V 16 w(RMA)p 1272 1546 V 17 w(INIT)g Fu(call)h(needs)g(to)
f(\014gure)g(out)189 1602 y(whic)o(h)c(t)o(yp)q(e)g(of)f(memory)g(is)h(used)h
(for)e(the)g(windo)o(w.)25 b(T)l(o)16 b(do)h(so,)f(MPI)h(main)o(tains,)g(in)o
(ternally)l(,)189 1659 y(the)j(list)h(of)f(memory)g(segmen)o(ts)g(allo)q
(cated)h(b)o(y)f Fo(MPI)p 1141 1659 V 16 w(RMA)p 1256 1659
V 17 w(MALLOC)p Fu(,)f(or)h(b)o(y)g(other,)h(imple-)189 1715
y(men)o(tation)e(sp)q(eci\014c,)k(mec)o(hanisms,)e(together)f(with)g
(information)g(on)g(the)g(t)o(yp)q(e)g(of)g(memory)189 1772
y(segmen)o(t)f(allo)q(cated.)33 b(When)20 b(a)g(call)g(to)f
Fo(MPI)p 1004 1772 V 16 w(RMA)p 1119 1772 V 17 w(INIT)g Fu(o)q(ccurs,)h(then)
g(MPI)f(c)o(hec)o(ks)h(whic)o(h)189 1828 y(segmen)o(t)15 b(con)o(tains)h(eac)
o(h)g(windo)o(w,)g(and)h(decide,)g(accordingly)l(,)g(whic)o(h)g(mec)o(hanism)
g(to)e(use)i(for)189 1885 y(RMA)e(op)q(erations.)189 1960 y(V)l(endors)d(ma)o
(y)f(pro)o(vide)i(additional,)h(implemen)o(tation-sp)q(eci\014c)h(mec)o
(hanisms)e(to)e(allo)o(w)i(\\go)q(o)q(d")189 2016 y(memory)h(to)h(b)q(e)h
(used)f(for)g(static)g(v)m(ariables.)21 b(\()p Fp(End)16 b(of)g(advic)n(e)g
(to)h(implementors.)p Fu(\))166 2122 y(It)10 b(is)h(con)o(v)o(enien)o(t)g(to)
f(b)q(e)h(able)g(to)f(access)g(information)h(on)f(windo)o(w)h(parameters)e
(from)h(the)g(comm)o(u-)75 2179 y(nicator)k(that)f(represen)o(ts)h(the)g
(windo)o(w.)20 b(T)l(o)13 b(do)h(so,)g(three)g(prede\014ned)h(attribute)f(k)o
(eys)g(are)g(pro)o(vided.)75 2285 y Fn(MPI)p 184 2285 16 2
v 18 w(WINDO)o(W)p 449 2285 V 19 w(BASE:)22 b Fu(Initial)17
b(address)e(of)g(lo)q(cal)h(address)75 2379 y Fn(MPI)p 184
2379 V 18 w(WINDO)o(W)p 449 2379 V 19 w(SIZE:)22 b Fu(size)16
b(of)f(lo)q(cal)h(windo)o(w,)f(in)h(b)o(ytes)75 2473 y Fn(MPI)p
184 2473 V 18 w(WINDO)o(W)p 449 2473 V 19 w(DISP)p 593 2473
V 18 w(UNIT:)23 b Fu(displacemen)o(t)16 b(unit)g(used)g(for)f(lo)q(cal)h
(windo)o(w)166 2579 y(If)g(a)f(comm)o(unicator)h Fo(comm)10
b Fu(w)o(as)15 b(created)g(b)o(y)h(a)g(call)h(to)e Fo(MPI)p
1254 2579 14 2 v 15 w(RMA)p 1368 2579 V 17 w(INIT\(base,)h(size,)g(disp)p
1774 2579 V 17 w(unit,)75 2635 y Ff(:)8 b(:)g(:)e Fo(\))p Fu(,)20
b(then)g Fo(MPI)p 380 2635 V 16 w(A)l(TTR)p 513 2635 V 17 w(GET\(comm)m(,)d
(MPI)p 866 2635 V 16 w(WINDO)o(W)p 1078 2635 V 16 w(BASE,)j(val,)g(\015ag\))g
Fu(will)h(return)f Fo(val)f(=)h(base)75 2692 y Fu(\(after)14
b(t)o(yp)q(e)h(con)o(v)o(ersion,)g(in)h(C\);)f(and)g(similarly)l(,)i(for)d
(the)i(other)f(t)o(w)o(o.)-32 46 y Fj(1)-32 103 y(2)-32 159
y(3)-32 215 y(4)-32 272 y(5)-32 328 y(6)-32 385 y(7)-32 441
y(8)-32 498 y(9)-40 554 y(10)-40 611 y(11)-40 667 y(12)-40
724 y(13)-40 780 y(14)-40 836 y(15)-40 893 y(16)-40 949 y(17)-40
1006 y(18)-40 1062 y(19)-40 1119 y(20)-40 1175 y(21)-40 1232
y(22)-40 1288 y(23)-40 1345 y(24)-40 1401 y(25)-40 1457 y(26)-40
1514 y(27)-40 1570 y(28)-40 1627 y(29)-40 1683 y(30)-40 1740
y(31)-40 1796 y(32)-40 1853 y(33)-40 1909 y(34)-40 1966 y(35)-40
2022 y(36)-40 2078 y(37)-40 2135 y(38)-40 2191 y(39)-40 2248
y(40)-40 2304 y(41)-40 2361 y(42)-40 2417 y(43)-40 2474 y(44)-40
2530 y(45)-40 2587 y(46)-40 2643 y(47)-40 2699 y(48)p eop
%%Page: 6 6
bop 75 -100 a Fu(6)746 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)l
(TIONS)189 49 y Fp(A)n(dvic)n(e)d(to)i(users.)38 b Fu(If)12
b Fo(comm)6 b Fu(is)13 b(not)e(asso)q(ciated)h(with)h(RMA)f(windo)o(ws,)g
(then)h Fo(MPI)p 1640 49 14 2 v 16 w(A)l(TTR)p 1773 49 V 17
w(GET)189 106 y Fu(will)18 b(return)f Fo(\015ag)g(=)g(false)p
Fu(.)25 b(Th)o(us,)17 b(these)g(attributes)f(also)h(pro)o(vide)g(a)g(mec)o
(hanism)g(for)g(\014nding)189 162 y(out)f(whether)g(a)g(comm)o(unicator)g(is)
h(asso)q(ciated)g(with)g(an)f(RMA)h(windo)o(w.)23 b(\()p Fp(End)17
b(of)g(advic)n(e)h(to)189 219 y(users.)p Fu(\))75 362 y Fr(1.3)59
b(Communication)17 b(Calls)75 463 y Fu(MPI)c(supp)q(orts)g(three)g(RMA)g
(comm)o(unication)h(calls:)20 b Fn(Put)13 b Fu(transfers)f(data)h(from)f(the)
h(caller)i(memory)75 520 y(\(origin\))k(to)f(the)h(target)f(memory;)i
Fn(Get)f Fu(transfers)f(data)g(from)h(the)g(target)e(memory)i(to)f(the)h
(caller)75 576 y(memory;)13 b(and)f Fn(Accum)o(ulate)h Fu(up)q(dates)g(lo)q
(cations)h(in)f(the)g(target)e(memory)l(,)h(e.g.)19 b(b)o(y)12
b(adding)i(to)e(these)75 633 y(lo)q(cations)19 b(v)m(alues)g(sen)o(t)f(from)f
(the)i(caller)g(memory)l(.)28 b(These)19 b(op)q(erations)f(are)g
Fp(nonblo)n(cking)p Fu(:)24 b(the)18 b(call)75 689 y(initiates)g(the)e
(transfer,)g(but)g(the)h(transfer)e(ma)o(y)h(con)o(tin)o(ue)h(after)f(the)g
(call)i(returns.)23 b(The)17 b(transfer)e(is)75 746 y(completed,)20
b(b)q(oth)f(at)f(the)h(origin)h(and)f(at)f(the)h(target,)f(when)h(a)g
(subsequen)o(t)g Fp(synchr)n(onization)f Fu(call)75 802 y(is)f(issued)h(b)o
(y)e(the)h(caller,)h(on)e(the)h(in)o(v)o(olv)o(ed)g(windo)o(w.)25
b(These)17 b(sync)o(hronization)g(calls)h(are)e(describ)q(ed)75
858 y(in)j(Section)f(1.4,)f(P)o(age)g(13.)27 b(The)18 b(lo)q(cal)h(comm)o
(unication)f(bu\013er)g(should)h(not)e(b)q(e)i(accessed,)f(or)f(used)75
915 y(as)e(the)h(source)g(or)g(target)e(of)i(other)f(comm)o(unications,)i
(after)e(the)h(RMA)g(call,)g(un)o(til)h(the)f(subsequen)o(t)75
971 y(sync)o(hronization)g(call)g(completes.)166 1028 y(The)11
b(calls)h(use)f(general)h(datat)o(yp)q(e)e(argumen)o(ts)g(to)g(sp)q(ecify)j
(comm)o(unication)e(bu\013ers)g(at)f(the)h(origin)75 1084 y(and)i(at)e(the)i
(target.)18 b(Th)o(us,)12 b(a)g(transfer)g(op)q(eration)h(ma)o(y)e(also)i
(gather)f(data)f(at)h(the)h(source)f(and)h(scatter)75 1141
y(it)19 b(at)f(the)g(destination.)31 b(Ho)o(w)o(ev)o(er,)18
b(all)h(argumen)o(ts)f(sp)q(ecifying)i(b)q(oth)f(comm)o(unication)g
(bu\013ers)f(are)75 1197 y(pro)o(vided)e(b)o(y)f(the)g(caller.)166
1254 y(F)l(or)h(all)i(three)f(calls,)i(the)e(target)f(pro)q(cess)h(ma)o(y)f
(b)q(e)i(iden)o(tical)h(with)e(the)g(origin)h(pro)q(cess;)g(i.e.,)f(a)75
1310 y(pro)q(cess)e(ma)o(y)g(use)g(a)g(put)h(call)g(to)f(mo)o(v)o(e)f(data)h
(in)h(its)f(memory)l(.)189 1416 y Fp(R)n(ationale.)54 b Fu(RMA)18
b(calls)h(targeted)e(to)g(the)g(origin)i(o)o(wn)e(memory)g(ma)o(y)g(b)q(e)h
(b)q(ene\014cial)i(when)189 1473 y(they)e(allo)o(w)g(to)f(use)h(a)g(separate)
f(engine)i(for)f(async)o(hronous)f(memory)h(to)f(memory)g(transfers.)189
1529 y(They)i(are)g(v)o(ery)g(useful)h(with)g(accum)o(ulate)g(op)q(erations,)
g(to)f(allo)o(w)g(atomic)g(up)q(dates)h(of)f(lo)q(cal)189 1586
y(v)m(ariables.)189 1661 y(The)e(restriction)g(on)g(concurren)o(t)g(accesses)
g(to)f(the)h(send)h(bu\013er)e(of)h(a)f(put)i(is)f(iden)o(tical)i(to)d(the)
189 1717 y(restriction)g(in)i(MPI)e(for)g(send)g(and)h(receiv)o(e)g
(functions.)24 b(This)17 b(allo)o(ws)f(implemen)o(tors)i(to)d(la)o(y)o(er)189
1774 y(RMA)d(calls)i(on)e(top)g(of)g(message)f(passing)i(or)f(to)g(p)q
(erform)g(the)g(same)g(optimizations)h(the)g(similar)189 1830
y(restriction)i(allo)o(ws)h(for)e(message)h(passing.)20 b(\()p
Fp(End)c(of)g(r)n(ationale.)p Fu(\))75 1952 y Fe(1.3.1)49 b(Put)75
2038 y Fu(The)15 b(execution)g(of)f(a)g(put)h(op)q(eration)g(is)g(similar)g
(to)f(the)h(execution)g(of)f(a)g(send)i(b)o(y)e(the)h(origin)g(pro)q(cess)75
2094 y(and)f(a)g(matc)o(hing)g(receiv)o(e)h(b)o(y)g(the)f(target)f(pro)q
(cess.)19 b(The)c(ob)o(vious)f(di\013erence)i(is)e(that)g(all)h(parameters)75
2151 y(are)g(pro)o(vided)h(b)o(y)f(one)g(call)i({)e(the)g(call)h(executed)g
(b)o(y)f(the)h(origin)g(pro)q(cess.)1967 46 y Fj(1)1967 103
y(2)1967 159 y(3)1967 215 y(4)1967 272 y(5)1967 328 y(6)1967
385 y(7)1967 441 y(8)1967 498 y(9)1959 554 y(10)1959 611 y(11)1959
667 y(12)1959 724 y(13)1959 780 y(14)1959 836 y(15)1959 893
y(16)1959 949 y(17)1959 1006 y(18)1959 1062 y(19)1959 1119
y(20)1959 1175 y(21)1959 1232 y(22)1959 1288 y(23)1959 1345
y(24)1959 1401 y(25)1959 1457 y(26)1959 1514 y(27)1959 1570
y(28)1959 1627 y(29)1959 1683 y(30)1959 1740 y(31)1959 1796
y(32)1959 1853 y(33)1959 1909 y(34)1959 1966 y(35)1959 2022
y(36)1959 2078 y(37)1959 2135 y(38)1959 2191 y(39)1959 2248
y(40)1959 2304 y(41)1959 2361 y(42)1959 2417 y(43)1959 2474
y(44)1959 2530 y(45)1959 2587 y(46)1959 2643 y(47)1959 2699
y(48)p eop
%%Page: 7 7
bop 75 -100 a Fl(1.3.)34 b(COMMUNICA)l(TION)16 b(CALLS)1090
b Fu(7)75 49 y Fo(MPI)p 160 49 14 2 v 16 w(PUT\()11 b(o)o(rigin)p
402 49 V 15 w(addr,)h(o)o(rigin)p 632 49 V 15 w(count,)h(o)o(rigin)p
884 49 V 15 w(datat)o(yp)q(e,)g(ta)o(rget)p 1200 49 V 16 w(rank,)f(ta)o(rget)
p 1436 49 V 16 w(disp,)g(ta)o(rget)p 1663 49 V 17 w(count,)g(ta)o(r-)75
106 y(get)p 137 106 V 17 w(datat)o(yp)q(e,)k(comm)m(\))117
183 y Fk(IN)155 b Fo(o)o(rigin)p 427 183 V 16 w(addr)381 b
Fk(address)15 b(of)f(origin)e(bu\013er)j(\(c)o(hoice\))117
258 y(IN)155 b Fo(o)o(rigin)p 427 258 V 16 w(count)360 b Fk(n)o(um)o(b)q(er)
13 b(of)h(elemen)o(ts)f(sen)o(t)i(\(in)o(teger\))117 333 y(IN)155
b Fo(o)o(rigin)p 427 333 V 16 w(datat)o(yp)q(e)302 b Fk(datat)o(yp)q(e)14
b(of)g(elemen)o(ts)f(sen)o(t)i(\(handle\))117 408 y(IN)155
b Fo(ta)o(rget)p 433 408 V 17 w(rank)375 b Fk(rank)14 b(of)f(target)i(\(in)o
(teger\))117 483 y(IN)155 b Fo(ta)o(rget)p 433 483 V 17 w(disp)384
b Fk(displacemen)o(t)20 b(from)f(start)i(of)f(windo)o(w)g(to)h(target)g
(bu\013er)905 540 y(\(in)o(teger\))117 615 y(IN)155 b Fo(ta)o(rget)p
433 615 V 17 w(count)353 b Fk(n)o(um)o(b)q(er)13 b(of)h(elemen)o(ts)f(receiv)
o(ed)j(\(in)o(teger\))117 690 y(IN)155 b Fo(ta)o(rget)p 433
690 V 17 w(datat)o(yp)q(e)295 b Fk(datat)o(yp)q(e)14 b(used)h(at)f(the)g
(target)h(\(handle\))117 765 y(IN)155 b Fo(comm)466 b Fk(comm)o(unicator)11
b(used)k(for)f(comm)o(unicati)o(on)d(\(handle\))75 890 y Fq(int)23
b(MPI)p 245 890 15 2 v 17 w(Put\()h(void)f(*origin)p 669 890
V 16 w(addr,)g(int)h(origin)p 1068 890 V 16 w(count,)f(MPI)p
1323 890 V 17 w(Datatype)393 946 y(origin)p 540 946 V 17 w(datatype,)f(int)i
(target)p 1035 946 V 16 w(rank,)f(int)h(target)p 1434 946 V
16 w(disp,)f(int)393 1003 y(target)p 540 1003 V 17 w(count,)g(MPI)p
796 1003 V 16 w(Datatype)g(target)p 1171 1003 V 16 w(datatype,)g(MPI)p
1498 1003 V 17 w(Comm)g(comm\))75 1089 y(MPI)p 150 1089 V 17
w(PUT\()g(ORIGIN)p 430 1089 V 16 w(ADDR,)h(ORIGIN)p 734 1089
V 16 w(COUNT,)f(ORIGIN)p 1061 1089 V 16 w(DATATYPE,)g(TARGET)p
1460 1089 V 16 w(RANK,)393 1146 y(TARGET)p 540 1146 V 17 w(DISP,)g(TARGET)p
844 1146 V 16 w(COUNT,)g(TARGET)p 1171 1146 V 16 w(DATATYPE,)g(COMM,)g
(IERROR\))170 1202 y(<type>)g(ORIGIN)p 484 1202 V 17 w(ADDR\(*\))170
1259 y(INTEGER)g(ORIGIN)p 508 1259 V 17 w(COUNT,)g(ORIGIN)p
836 1259 V 16 w(DATATYPE,)g(TARGET)p 1235 1259 V 16 w(RANK,)g(TARGET)p
1538 1259 V 17 w(DISP,)170 1315 y(TARGET)p 317 1315 V 17 w(COUNT,)g(TARGET)p
645 1315 V 16 w(DATATYPE,)g(COMM,)g(IERROR)166 1401 y Fu(T)l(ransfers)d
Fo(o)o(rigin)p 478 1401 14 2 v 16 w(count)i Fu(successiv)o(e)g(en)o(tries)f
(of)g(the)g(t)o(yp)q(e)g(sp)q(eci\014ed)i(b)o(y)d(the)h Fo(o)o(rigin)p
1685 1401 V 16 w(datat)o(yp)q(e)p Fu(,)75 1458 y(starting)13
b(at)h(address)g Fo(o)o(rigin)p 568 1458 V 15 w(addr)g Fu(on)g(the)g(origin)h
(no)q(de)f(to)g(the)g(target)f(no)q(de)h(sp)q(eci\014ed)i(b)o(y)e(the)g
Fo(comm)m Fu(,)75 1514 y Fo(ta)o(rget)p 190 1514 V 16 w(rank)19
b Fu(pair.)31 b(The)19 b(data)f(are)h(written)g(in)h(the)e(target)g(bu\013er)
h(at)f(address)h Fo(ta)o(rget)p 1624 1514 V 16 w(addr)g(=)g(win-)75
1571 y(do)o(w)p 154 1571 V 16 w(base)c(+)e(ta)o(rget)p 427
1571 V 16 w(disp)p Fm(\002)p Fo(disp)p 626 1571 V 20 w(unit)p
Fu(,)h(where)f Fo(windo)o(w)p 1016 1571 V 17 w(base)h Fu(and)g
Fo(disp)p 1290 1571 V 17 w(unit)h Fu(are)e(the)g(base)g(address)h(and)75
1627 y(windo)o(w)h(displacemen)o(t)i(unit)f(sp)q(eci\014ed)h(at)e(windo)o(w)g
(initialization,)j(b)o(y)d(the)h(target)e(pro)q(cess.)166 1684
y(The)h(target)f(bu\013er)h(is)h(sp)q(eci\014ed)i(b)o(y)d(the)g(argumen)o(ts)
f Fo(ta)o(rget)p 1230 1684 V 17 w(count)i Fu(and)f Fo(ta)o(rget)p
1568 1684 V 17 w(datat)o(yp)q(e)p Fu(.)166 1740 y(The)25 b(outcome)f(is)h(as)
f(if)i(the)e(origin)i(pro)q(cess)f(executed)g(a)g(blo)q(c)o(king)h(send)f(op)
q(eration)g(with)75 1797 y(argumen)o(ts)c Fo(o)o(rigin)p 412
1797 V 15 w(addr,)i(o)o(rigin)p 653 1797 V 15 w(count,)h(o)o(rigin)p
916 1797 V 15 w(datat)o(yp)q(e,)g(ta)o(rget)p 1243 1797 V 17
w(rank,)e(tag,)h(comm)m Fu(,)d(and)h(the)h(tar-)75 1853 y(get)i(pro)q(cess)g
(executed)h(a)e(receiv)o(e)i(op)q(eration)f(with)h(argumen)o(ts)e
Fo(ta)o(rget)p 1398 1853 V 16 w(addr,)j(ta)o(rget)p 1649 1853
V 16 w(count,)h(ta)o(r-)75 1910 y(get)p 137 1910 V 17 w(datat)o(yp)q(e,)21
b(source,)g(tag,)f(comm)m Fu(,)d(where)i Fo(ta)o(rget)p 993
1910 V 16 w(addr)h Fu(is)g(the)f(target)f(bu\013er)h(address)h(computed)75
1966 y(as)e(explained)j(ab)q(o)o(v)o(e.)29 b(The)19 b(message)f(sen)o(t)g(m)o
(ust)g(\014t,)h(without)f(truncation,)h(in)h(the)e(target)f(bu\013er,)75
2022 y(whic)o(h)f(m)o(ust)f(\014t)g(in)h(the)f(target)f(windo)o(w.)166
2079 y(The)19 b Fo(ta)o(rget)p 378 2079 V 16 w(datat)o(yp)q(e)i
Fu(argumen)o(t)d(is)h(a)g(handle)h(to)e(a)h(datat)o(yp)q(e)f(ob)s(ject)h
(de\014ned)h(at)e(the)h(origin)75 2135 y(pro)q(cess.)j(Ho)o(w)o(ev)o(er,)15
b(this)h(ob)s(ject)f(is)i(in)o(terpreted)f(at)f(the)h(target)f(pro)q(cess:)21
b(the)16 b(outcome)g(is)g(as)g(if)g(the)75 2192 y(target)j(datat)o(yp)q(e)h
(ob)s(ject)g(w)o(as)f(de\014ned)j(at)e(the)g(target)f(pro)q(cess,)j(b)o(y)e
(the)g(same)g(sequence)i(of)e(calls)75 2248 y(used)f(to)f(de\014ne)i(it)f(at)
f(the)h(origin)g(pro)q(cess.)31 b(The)19 b(target)e(datat)o(yp)q(e)i(should)g
(con)o(tain)g(only)g(relativ)o(e)75 2305 y(displacemen)o(ts,)d(not)f
(absolute)h(addresses.)k(The)15 b(same)g(holds)h(for)f(get)f(and)i(accum)o
(ulate.)166 2361 y(The)f(function)h(returns)f(an)h(error)e(co)q(de)i(as)f(in)
h(MPI.)189 2467 y Fp(A)n(dvic)n(e)23 b(to)i(users.)93 b Fu(The)24
b Fo(ta)o(rget)p 831 2467 V 16 w(datat)o(yp)q(e)i Fu(argumen)o(t)d(is)h(a)g
(handle)h(to)f(a)f(datat)o(yp)q(e)h(ob-)189 2524 y(ject)d(that)g(is)h
(de\014ned)h(at)d(the)i(origin)g(pro)q(cess,)h(ev)o(en)f(though)f(it)h
(de\014nes)g(a)f(data)g(la)o(y)o(out)g(in)189 2580 y(the)j(target)f(pro)q
(cess)h(memory)l(.)46 b(This)24 b(causes)h(no)e(problems)i(in)g(a)f
(homogenous)f(en)o(viron-)189 2637 y(men)o(t,)g(or)f(in)h(a)f(heterogenous)g
(en)o(vironmen)o(t,)i(if)f(only)g(p)q(ortable)f(datat)o(yp)q(es)g(are)g
(used.)42 b(A)-32 46 y Fj(1)-32 103 y(2)-32 159 y(3)-32 215
y(4)-32 272 y(5)-32 328 y(6)-32 385 y(7)-32 441 y(8)-32 498
y(9)-40 554 y(10)-40 611 y(11)-40 667 y(12)-40 724 y(13)-40
780 y(14)-40 836 y(15)-40 893 y(16)-40 949 y(17)-40 1006 y(18)-40
1062 y(19)-40 1119 y(20)-40 1175 y(21)-40 1232 y(22)-40 1288
y(23)-40 1345 y(24)-40 1401 y(25)-40 1457 y(26)-40 1514 y(27)-40
1570 y(28)-40 1627 y(29)-40 1683 y(30)-40 1740 y(31)-40 1796
y(32)-40 1853 y(33)-40 1909 y(34)-40 1966 y(35)-40 2022 y(36)-40
2078 y(37)-40 2135 y(38)-40 2191 y(39)-40 2248 y(40)-40 2304
y(41)-40 2361 y(42)-40 2417 y(43)-40 2474 y(44)-40 2530 y(45)-40
2587 y(46)-40 2643 y(47)-40 2699 y(48)p eop
%%Page: 8 8
bop 75 -100 a Fu(8)746 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)l
(TIONS)189 49 y Fu(datat)o(yp)q(e)h(is)h Fp(p)n(ortable)p Fu(,)g(if)h(it)f
(is)g(basic)h(datat)o(yp)q(e,)f(or)f(it)h(is)h(deriv)o(ed)g(using)f(only)h
(the)f(t)o(yp)q(e)g(con-)189 106 y(structors)e Fo(MPI)p 465
106 14 2 v 16 w(TYPE)p 598 106 V 17 w(CONTIGUOUS,)i(MPI)p 1015
106 V 16 w(TYPE)p 1148 106 V 17 w(VECTOR)h Fu(and)e Fo(MPI)p
1533 106 V 16 w(TYPE)p 1666 106 V 17 w(INDEXED)189 162 y Fu(\()p
Fo(MPI)p 292 162 V 15 w(TYPE)p 424 162 V 17 w(SIMPLE)p 600
162 V 16 w(STRUCT)d Fu(should)h(b)q(e)f(added,)h(if)f(it)g(mak)o(es)f(it)h
(to)f(MPI\).)g(Suc)o(h)h(datat)o(yp)q(e)189 219 y(is)21 b(p)q(ortable,)i(b)q
(ecause)f(all)g(displacemen)o(ts)h(in)f(suc)o(h)g(datat)o(yp)q(e)e(are)h(in)h
(terms)f(of)g(exten)o(ts)f(of)189 275 y(basic)h(datat)o(yp)q(es.)36
b(Therefore,)22 b(if)f(suc)o(h)g(datat)o(yp)q(e)f(\014ts)h(a)f(data)h(la)o(y)
o(out)f(in)h(one)g(memory)l(,)h(it)189 332 y(will)f(\014t)f(the)f(corresp)q
(onding)i(data)e(la)o(y)o(out)g(in)i(another)e(memory)l(,)h(if)g(the)g(same)f
(declarations)189 388 y(w)o(ere)14 b(used,)h(ev)o(en)f(if)h(the)g(t)o(w)o(o)e
(systems)h(ha)o(v)o(e)g(di\013eren)o(t)g(arc)o(hitectures.)20
b(On)15 b(the)g(other)f(hand,)g(if)189 444 y(a)j(datat)o(yp)q(e)h(w)o(as)f
(constructed)h(using)h Fo(MPI)p 968 444 V 16 w(TYPE)p 1101
444 V 17 w(HINDEXED,)e(MPI)p 1457 444 V 16 w(TYPE)p 1590 444
V 17 w(HVECTOR)i Fu(or)189 501 y Fo(MPI)p 274 501 V 15 w(TYPE)p
406 501 V 17 w(STRUCT)c Fu(\(and)g Fo(MPI)p 802 501 V 15 w(CONTIGUOUS)p
1105 501 V 18 w(STRUCT)p Fu(\),)g(then)g(the)f(datat)o(yp)q(e)g(con)o(tains)
189 557 y(explicit)g(b)o(yte)f(displacemen)o(ts.)20 b(These)13
b(displacemen)o(ts)h(are)e(unlik)o(ely)j(to)d(b)q(e)h(c)o(hosen)g(correctly)f
(if)189 614 y(they)h(\014t)h(data)f(la)o(y)o(out)g(on)g(one)h(memory)l(,)f
(but)h(are)f(used)h(for)f(data)g(la)o(y)o(outs)g(on)h(another)f(pro)q(cess,)
189 670 y(running)i(on)f(a)g(pro)q(cessor)g(with)g(a)g(di\013eren)o(t)g(arc)o
(hitecture.)20 b(In)15 b(the)f(later)g(case,)g(one)g(should)i(use)189
727 y(the)f(mec)o(hanisms)h(de\014ned)g(in)g(MPI)f(for)g(transferring)g
(datat)o(yp)q(es)f(across)h(pro)q(cesses.)189 802 y(The)21
b(p)q(erformance)g(of)f(a)h(put)g(transfer)f(can)h(b)q(e)g(signi\014can)o
(tly)i(a\013ected,)e(on)g(some)g(systems,)189 858 y(from)f(the)i(c)o(hoice)g
(of)f(windo)o(w)h(lo)q(cation)g(and)g(the)f(shap)q(e)h(and)g(lo)q(cation)g
(of)f(the)h(origin)g(and)189 915 y(target)15 b(bu\013er:)22
b(transfers)16 b(from)g(memory)g(allo)q(cated)h(b)o(y)g Fo(MPI)p
1292 915 V 16 w(RMA)p 1407 915 V 16 w(MALLOC)g Fu(will)h(b)q(e)f(m)o(uc)o(h)
189 971 y(faster)i(on)g(systems)h(where)g(some)f(memory)g(is)h(shared;)i
(transfers)d(from)g(con)o(tiguous)h(bu\013ers)189 1028 y(will)15
b(b)q(e)f(faster)e(on)h(most,)g(if)h(not)f(all,)h(sytems;)f(the)g(alignemen)o
(t)i(of)e(the)g(comm)o(unication)h(bu\013ers)189 1084 y(ma)o(y)g(also)h
(impact)h(p)q(erformance.)k(\()p Fp(End)15 b(of)i(advic)n(e)f(to)g(users.)p
Fu(\))189 1190 y Fp(A)n(dvic)n(e)d(to)i(implementors.)38 b
Fu(A)13 b(high)h(qualit)o(y)g(implemen)o(tation)g(will)h(prev)o(en)o(t)e
(remote)g(accesses)189 1247 y(to)21 b(memory)g(outside)i(the)e(windo)o(w)h
(that)g(w)o(as)f(exp)q(osed)h(b)o(y)g(the)g(pro)q(cess.)40
b(This,)24 b(b)q(oth)e(for)189 1303 y(debugging)c(purp)q(oses,)g(and)f(for)g
(protection)g(with)h(clien)o(t-serv)o(er)g(co)q(des)g(that)f(use)g(RMA.)h
(I.e.,)189 1360 y(a)c(high-qualit)o(y)j(implemen)o(tation)f(will)h(c)o(hec)o
(k)e(windo)o(w)g(b)q(ounds)h(on)f(eac)o(h)g(RMA)g(call.)21
b(\()p Fp(End)15 b(of)189 1416 y(advic)n(e)h(to)g(implementors.)p
Fu(\))75 1538 y Fe(1.3.2)49 b(Get)75 1718 y Fo(MPI)p 160 1718
V 16 w(GET\()11 b(o)o(rigin)p 399 1718 V 16 w(addr,)h(o)o(rigin)p
630 1718 V 15 w(count,)h(o)o(rigin)p 882 1718 V 15 w(datat)o(yp)q(e,)h(ta)o
(rget)p 1199 1718 V 16 w(rank,)e(ta)o(rget)p 1435 1718 V 16
w(disp,)h(ta)o(rget)p 1663 1718 V 16 w(count,)g(ta)o(r-)75
1775 y(get)p 137 1775 V 17 w(datat)o(yp)q(e,)j(comm)m(\))117
1852 y Fk(OUT)108 b Fo(o)o(rigin)p 427 1852 V 16 w(addr)381
b Fk(address)15 b(of)f(origin)e(bu\013er)j(\(c)o(hoice\))117
1927 y(IN)155 b Fo(o)o(rigin)p 427 1927 V 16 w(count)360 b
Fk(n)o(um)o(b)q(er)13 b(of)h(elemen)o(ts)f(receiv)o(ed)j(\(in)o(teger\))117
2002 y(IN)155 b Fo(o)o(rigin)p 427 2002 V 16 w(datat)o(yp)q(e)302
b Fk(datat)o(yp)q(e)14 b(of)g(elemen)o(ts)f(receiv)o(ed)j(\(handle\))117
2077 y(IN)155 b Fo(ta)o(rget)p 433 2077 V 17 w(rank)375 b Fk(rank)14
b(of)f(target)i(\(in)o(teger\))117 2152 y(IN)155 b Fo(ta)o(rget)p
433 2152 V 17 w(disp)384 b Fk(displacemen)o(t)16 b(from)e(windo)o(w)i(start)g
(to)h(target)f(bu\013er)h(\(in-)905 2209 y(teger\))117 2284
y(IN)155 b Fo(ta)o(rget)p 433 2284 V 17 w(count)353 b Fk(n)o(um)o(b)q(er)13
b(of)h(elemen)o(ts)f(sen)o(t)i(\(in)o(teger\))117 2359 y(IN)155
b Fo(ta)o(rget)p 433 2359 V 17 w(datat)o(yp)q(e)295 b Fk(datat)o(yp)q(e)14
b(of)g(elemen)o(ts)f(sen)o(t)i(\(handle\))117 2434 y(IN)155
b Fo(comm)466 b Fk(comm)o(unicator)11 b(used)k(for)f(comm)o(unicati)o(on)d
(\(handle\))75 2559 y Fq(int)23 b(MPI)p 245 2559 15 2 v 17
w(get\()h(void)f(*origin)p 669 2559 V 16 w(addr,)g(int)h(origin)p
1068 2559 V 16 w(count,)f(MPI)p 1323 2559 V 17 w(Datatype)393
2615 y(origin)p 540 2615 V 17 w(datatype,)f(int)i(target,)f(int)g(target)p
1321 2615 V 16 w(disp,)h(int)393 2672 y(target)p 540 2672 V
17 w(count,)f(MPI)p 796 2672 V 16 w(Datatype)g(target)p 1171
2672 V 16 w(datatype,)g(MPI)p 1498 2672 V 17 w(Comm)g(comm\))1967
46 y Fj(1)1967 103 y(2)1967 159 y(3)1967 215 y(4)1967 272 y(5)1967
328 y(6)1967 385 y(7)1967 441 y(8)1967 498 y(9)1959 554 y(10)1959
611 y(11)1959 667 y(12)1959 724 y(13)1959 780 y(14)1959 836
y(15)1959 893 y(16)1959 949 y(17)1959 1006 y(18)1959 1062 y(19)1959
1119 y(20)1959 1175 y(21)1959 1232 y(22)1959 1288 y(23)1959
1345 y(24)1959 1401 y(25)1959 1457 y(26)1959 1514 y(27)1959
1570 y(28)1959 1627 y(29)1959 1683 y(30)1959 1740 y(31)1959
1796 y(32)1959 1853 y(33)1959 1909 y(34)1959 1966 y(35)1959
2022 y(36)1959 2078 y(37)1959 2135 y(38)1959 2191 y(39)1959
2248 y(40)1959 2304 y(41)1959 2361 y(42)1959 2417 y(43)1959
2474 y(44)1959 2530 y(45)1959 2587 y(46)1959 2643 y(47)1959
2699 y(48)p eop
%%Page: 9 9
bop 75 -100 a Fl(1.3.)29 b(COMMUNICA)l(TION)16 b(CALLS)1095
b Fu(9)75 49 y Fq(MPI)p 150 49 15 2 v 17 w(GET\()23 b(ORIGIN)p
430 49 V 16 w(ADDR,)h(ORIGIN)p 734 49 V 16 w(COUNT,)f(ORIGIN)p
1061 49 V 16 w(DATATYPE,)g(TARGET,)g(TARGET)p 1651 49 V 16
w(DISP,)393 106 y(TARGET)p 540 106 V 17 w(COUNT,)g(TARGET)p
868 106 V 16 w(DATATYPE,)g(COMM,)g(IERROR\))170 162 y(<type>)g(ORIGIN)p
484 162 V 17 w(ADDR\(*\))170 219 y(INTEGER)g(ORIGIN)p 508 219
V 17 w(COUNT,)g(ORIGIN)p 836 219 V 16 w(DATATYPE,)g(TARGET,)g(TARGET)p
1426 219 V 16 w(DISP,)170 275 y(TARGET)p 317 275 V 17 w(COUNT,)g(TARGET)p
645 275 V 16 w(DATATYPE,)g(COMM,)g(IERROR)166 362 y Fu(Similar)c(to)e
Fo(MPI)p 468 362 14 2 v 15 w(PUT)p Fu(,)h(except)f(that)g(the)h(direction)g
(of)f(data)g(transfer)g(is)h(rev)o(ersed.)26 b(Data)16 b(are)75
418 y(copied)g(from)f(the)g(target)f(memory)h(to)f(the)i(origin.)75
539 y Fe(1.3.3)49 b(Examples)75 625 y Fn(Example)18 b(1.2)k
Fu(W)l(e)f(sho)o(w)e(ho)o(w)h(to)g(implemen)o(t)h(the)g(generic)g(indirect)h
(assignmen)o(t)e Fq(A)j(=)h(B\(map\))p Fu(,)75 681 y(where)15
b Fq(A,)23 b(B)15 b Fu(and)f Fq(map)g Fu(ha)o(v)o(e)g(the)h(same)f
(distribution,)i(and)e Fq(map)g Fu(is)h(a)f(p)q(erm)o(utation.)20
b(T)l(o)14 b(simplify)l(,)i(w)o(e)75 738 y(assume)f(a)g(blo)q(c)o(k)h
(distribution)h(with)e(equal)h(size)g(blo)q(c)o(k.)75 841 y
Fq(SUBROUTINE)22 b(MAP\()i(A,)f(B,)h(map,)f(m,)h(comm,)f(p\))75
897 y(INTEGER)g(m,)g(map\(m\),)g(comm,)h(p)75 953 y(REAL)f(A\(m\),)g(B\(m\))
75 1066 y(INTEGER)g(otypes\(p\),)f(oindex\(m\),)94 b(!)24 b(used)g(to)f
(construct)g(origin)g(datatypes)266 1123 y(tytpes\(p\),)f(tindex\(m\),)94
b(!)24 b(used)g(to)f(construct)g(target)g(datatypes)266 1179
y(count\(p\),)g(blen\(m\),)f(total\(p\),)266 1236 y(sizeofreal,)g(ierr)75
1349 y(!)i(This)f(part)g(does)h(the)f(work)g(that)h(depends)f(on)g(the)h
(locations)e(of)i(B.)75 1405 y(!)g(Can)f(be)h(reused)f(while)g(this)g(does)h
(not)f(change)75 1518 y(CALL)g(MPI_EXTENT\(MPI_REAL,)e(sizeofreal,)i(ierr\))
75 1631 y(DO)h(i=1,m)147 1687 y(blen\(i\))e(=)i(1)75 1744 y(END)f(DO)75
1857 y(DO)h(i=1,p)147 1913 y(count\(i\))e(=)i(1)75 1970 y(END)f(DO)75
2083 y(CALL)g(MPI_RMA_INIT\(B,)f(m*sizeofreal,)g(sizeofreal,)h(comm,)g
(getcomm,)g(ierr\))75 2195 y(!)h(This)f(part)g(does)h(the)f(work)g(that)h
(depends)f(on)g(the)h(value)f(of)g(map)h(and)75 2252 y(!)g(the)f(locations)g
(of)g(the)h(arrays.)75 2308 y(!)g(Can)f(be)h(reused)f(while)g(these)g(do)h
(not)f(change)75 2421 y(!)h(Compute)f(number)g(of)g(elements)g(to)h(be)f
(received)g(from)g(each)h(process)75 2534 y(DO)g(i=1,m)147
2591 y(j)f(=)h(map\(i\)/m)147 2647 y(count\(j\))e(=)i(count\(j\)+1)75
2704 y(END)f(DO)-32 46 y Fj(1)-32 103 y(2)-32 159 y(3)-32 215
y(4)-32 272 y(5)-32 328 y(6)-32 385 y(7)-32 441 y(8)-32 498
y(9)-40 554 y(10)-40 611 y(11)-40 667 y(12)-40 724 y(13)-40
780 y(14)-40 836 y(15)-40 893 y(16)-40 949 y(17)-40 1006 y(18)-40
1062 y(19)-40 1119 y(20)-40 1175 y(21)-40 1232 y(22)-40 1288
y(23)-40 1345 y(24)-40 1401 y(25)-40 1457 y(26)-40 1514 y(27)-40
1570 y(28)-40 1627 y(29)-40 1683 y(30)-40 1740 y(31)-40 1796
y(32)-40 1853 y(33)-40 1909 y(34)-40 1966 y(35)-40 2022 y(36)-40
2078 y(37)-40 2135 y(38)-40 2191 y(39)-40 2248 y(40)-40 2304
y(41)-40 2361 y(42)-40 2417 y(43)-40 2474 y(44)-40 2530 y(45)-40
2587 y(46)-40 2643 y(47)-40 2699 y(48)p eop
%%Page: 10 10
bop 75 -100 a Fu(10)723 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)
l(TIONS)75 106 y Fq(total\(1\))23 b(=)g(0)75 162 y(DO)h(i=2,p)147
219 y(total\(i\))e(=)i(total\(i-1\))f(+)g(count\(i-1\))75 332
y(DO)h(i=1,p)147 388 y(count\(i\))e(=)i(0)75 444 y(END)f(DO)75
557 y(!)h(compute)f(origin)g(and)g(target)g(indices)g(of)h(elements)75
614 y(!)g(received)e(from)i(each)f(process)75 670 y(DO)h(i=1,m)147
727 y(j)f(=)h(map\(i\)/m)147 783 y(k)f(=)h(MOD\(map\(i\),m\))147
840 y(count\(j\))e(=)i(count\(j\)+1)147 896 y(oindex\(total\(j\))d(+)j
(count\(j\)\))f(=)g(i)147 953 y(tindex\(total\(j\))e(+)j(count\(j\)\))f(=)g
(k)75 1009 y(END)g(DO)75 1122 y(!)h(create)f(origin)g(and)g(target)g
(datatypes)g(for)g(each)h(get)f(operation)75 1178 y(DO)h(i=1,p)147
1235 y(CALL)f(MPI_TYPE_INDEXED\(count\(i\))o(,)e(blen,)i
(oindex\(total\(i\)\),)743 1291 y(MPI_REAL,)g(otype\(i\),)f(ierr\))147
1348 y(CALL)h(MPI_TYPE_COMMIT\(otype\(i\),)d(ierr\))147 1404
y(CALL)j(MPI_TYPE_INDEXED\(count\(i\))o(,)e(blen,)i(tindex\(total\(i\)\),)743
1461 y(MPI_REAL,)g(ttype\(i\),)f(ierr\))147 1517 y(CALL)h
(MPI_TYPE_COMMIT\(ttype\(i\),)d(ierr\))75 1574 y(END)j(DO)75
1686 y(!)h(this)f(part)g(does)h(the)f(assignment)g(itself)75
1799 y(DO)h(i=1,p)147 1856 y(CALL)f(MPI_GET)g(\(A,)g(1,)h(otype\(i\),)e(i,)i
(0,)g(1,)f(ttype\(i\),)g(getcomm,)g(ierr\))75 1912 y(END)g(DO)75
2025 y(!)h(synchronize)75 2082 y(CALL)f(MPI_BARRIER\(getcomm,)e(ierr\))75
2195 y(CALL)i(MPI_COMM_FREE\(getcomm,)e(ierr\))75 2251 y(DO)j(i=1,p)147
2307 y(CALL)f(MPI_TYPE_FREE\(otype\(i\),)e(ierr\))147 2364
y(CALL)i(MPI_TYPE_FREE\(ttype\(i\),)e(ierr\))75 2420 y(END)i(DO)75
2477 y(RETURN)75 2583 y Fn(Example)18 b(1.3)k Fu(A)16 b(simpler)g(v)o(ersion)
g(can)f(b)q(e)h(written,)g(that)e(do)q(es)i(not)f(require)h(to)f(built)h(a)f
(datat)o(yp)q(e)75 2640 y(for)e(the)g(target)f(bu\013er.)19
b(But,)13 b(then)h(one)f(needs)h(a)f(separate)f(get)h(call)h(for)f(eac)o(h)g
(elemen)o(t,)h(as)f(illustrated)75 2696 y(b)q(elo)o(w.)28 b(This)19
b(co)q(de)f(is)g(m)o(uc)o(h)g(simpler,)h(but)f(m)o(uc)o(h)g(less)g(e\016cien)
o(t,)h(for)e(large)h(arra)o(ys,)f(unless)i(h/w)e(is)1967 46
y Fj(1)1967 103 y(2)1967 159 y(3)1967 215 y(4)1967 272 y(5)1967
328 y(6)1967 385 y(7)1967 441 y(8)1967 498 y(9)1959 554 y(10)1959
611 y(11)1959 667 y(12)1959 724 y(13)1959 780 y(14)1959 836
y(15)1959 893 y(16)1959 949 y(17)1959 1006 y(18)1959 1062 y(19)1959
1119 y(20)1959 1175 y(21)1959 1232 y(22)1959 1288 y(23)1959
1345 y(24)1959 1401 y(25)1959 1457 y(26)1959 1514 y(27)1959
1570 y(28)1959 1627 y(29)1959 1683 y(30)1959 1740 y(31)1959
1796 y(32)1959 1853 y(33)1959 1909 y(34)1959 1966 y(35)1959
2022 y(36)1959 2078 y(37)1959 2135 y(38)1959 2191 y(39)1959
2248 y(40)1959 2304 y(41)1959 2361 y(42)1959 2417 y(43)1959
2474 y(44)1959 2530 y(45)1959 2587 y(46)1959 2643 y(47)1959
2699 y(48)p eop
%%Page: 11 11
bop 75 -100 a Fl(1.3.)34 b(COMMUNICA)l(TION)16 b(CALLS)1068
b Fu(11)75 49 y(fast)14 b(enough)i(to)e(transfer)h(e\016cien)o(tly)h(single)h
(w)o(ords.)75 156 y Fq(SUBROUTINE)22 b(MAP\()i(A,)f(B,)h(map,)f(m,)h(comm,)f
(p\))75 212 y(INTEGER)g(m,)g(map\(m\),)g(comm,)h(p)75 268 y(REAL)f(A\(m\),)g
(B\(m\))75 325 y(INTEGER)g(sizeofreal,)f(ierr)75 438 y(CALL)h
(MPI_TYPE_EXTENT\(MPI_REAL,)e(sizeofreal,)h(ierr\))75 494 y(CALL)h
(MPI_RMA_INIT\(B,)f(m*sizeofreal,)g(sizeofreal,)h(comm,)g(getcomm,)g(ierr\))
75 607 y(DO)h(i=1,m)147 664 y(j)f(=)h(map\(i\)/m)147 720 y(k)f(=)h
(MOD\(map\(i\),m\))147 777 y(CALL)f(MPI_GET\(A\(i\),)f(1,)i(MPI_REAL,)e(j,)i
(k,)f(1,)h(MPI_REAL,)f(0,)1101 833 y(getcomm,)g(ierr\))75 889
y(END)g(DO)75 946 y(CALL)g(MPI_BARRIER\(getcomm,)e(ierr\))75
1002 y(CALL)i(MPI_COMM_FREE\(getcomm,)e(ierr\))75 1059 y(RETURN)75
1181 y Fe(1.3.4)49 b(Accumulate)14 b(F)o(unctions)75 1266 y
Fu(It)i(is)g(often)g(useful)g(in)h(a)e(put)h(op)q(eration)g(to)f(com)o(bine)i
(the)f(data)f(mo)o(v)o(ed)g(to)g(the)h(target)f(pro)q(cess)h(with)75
1323 y(the)f(data)f(that)g(resides)h(at)f(that)g(pro)q(cess,)h(rather)f(then)
h(replacing)h(the)f(data)f(there.)20 b(This)15 b(will)h(allo)o(w,)75
1379 y(for)f(example,)i(to)e(accum)o(ulate)i(a)e(sum,)h(b)o(y)g(ha)o(ving)g
(all)h(in)o(v)o(olv)o(ed)g(pro)q(cesses)g(add)f(their)g(con)o(tribution)75
1436 y(to)f(the)g(sum)g(v)m(ariable)i(in)f(the)f(memory)g(of)f(one)i(pro)q
(cess.)75 1587 y Fo(MPI)p 160 1587 14 2 v 16 w(A)o(CCUMULA)l(TE\(o)o(rigin)p
598 1587 V 15 w(addr,)25 b(o)o(rigin)p 841 1587 V 15 w(count,)g(o)o(rigin)p
1105 1587 V 15 w(datat)o(yp)q(e,)h(ta)o(rget)p 1434 1587 V
16 w(rank,)e(ta)o(rget)p 1682 1587 V 16 w(disp,)h(ta)o(r-)75
1643 y(get)p 137 1643 V 17 w(count,)16 b(ta)o(rget)p 400 1643
V 16 w(datat)o(yp)q(e,)g(op,)f(comm)n(\))117 1720 y Fk(IN)155
b Fo(o)o(rigin)p 427 1720 V 16 w(addr)381 b Fk(initial)12 b(address)j(of)f
(bu\013er)g(\(c)o(hoice\))117 1795 y(IN)155 b Fo(o)o(rigin)p
427 1795 V 16 w(count)360 b Fk(n)o(um)o(b)q(er)13 b(of)h(elemen)o(ts)f(in)h
(bu\013er)h(\(non)f(negativ)o(e)f(in)o(teger\))117 1871 y(IN)155
b Fo(o)o(rigin)p 427 1871 V 16 w(datat)o(yp)q(e)302 b Fk(data)14
b(t)o(yp)q(e)g(of)f(eac)o(h)i(bu\013er)g(elemen)o(t)e(\(handle\))117
1946 y(IN)155 b Fo(ta)o(rget)p 433 1946 V 17 w(rank)375 b Fk(rank)14
b(of)f(destination)h(pro)q(cess)i(in)d(comm)e(\(in)o(teger\))117
2021 y(IN)155 b Fo(ta)o(rget)p 433 2021 V 17 w(disp)384 b Fk(displacemen)o(t)
20 b(from)f(start)i(of)f(windo)o(w)g(to)h(target)g(bu\013er)905
2077 y(\(in)o(teger\))117 2152 y(IN)155 b Fo(ta)o(rget)p 433
2152 V 17 w(count)353 b Fk(n)o(um)o(b)q(er)13 b(of)h(elemen)o(ts)f(in)h
(target)g(bu\013er)h(\(in)o(teger\))117 2228 y(IN)155 b Fo(ta)o(rget)p
433 2228 V 17 w(datat)o(yp)q(e)295 b Fk(datat)o(yp)q(e)14 b(used)h(at)f
(target)g(\(handle\))117 2303 y(IN)155 b Fo(op)541 b Fk(reduce)16
b(op)q(eration)e(\(handle\))117 2378 y(IN)155 b Fo(comm)466
b Fk(comm)o(unicator)11 b(\(handle\))75 2502 y Fq(int)23 b(MPI)p
245 2502 15 2 v 17 w(Accumulate\(void*)f(origin)p 812 2502
V 16 w(addr,)h(int)h(origin)p 1211 2502 V 16 w(count,)393 2559
y(MPI)p 468 2559 V 17 w(Datatype)f(origin)p 844 2559 V 16 w(datatype,)g(int)g
(target)p 1338 2559 V 17 w(rank,)g(int)g(target)p 1737 2559
V 17 w(disp,)393 2615 y(int)h(target)p 636 2615 V 16 w(count,)f(MPI)p
891 2615 V 17 w(Datatype)g(target)p 1267 2615 V 16 w(datatype,)g(MPI)p
1594 2615 V 16 w(Op)h(op,)393 2672 y(MPI)p 468 2672 V 17 w(Comm)f(comm\))-32
46 y Fj(1)-32 103 y(2)-32 159 y(3)-32 215 y(4)-32 272 y(5)-32
328 y(6)-32 385 y(7)-32 441 y(8)-32 498 y(9)-40 554 y(10)-40
611 y(11)-40 667 y(12)-40 724 y(13)-40 780 y(14)-40 836 y(15)-40
893 y(16)-40 949 y(17)-40 1006 y(18)-40 1062 y(19)-40 1119
y(20)-40 1175 y(21)-40 1232 y(22)-40 1288 y(23)-40 1345 y(24)-40
1401 y(25)-40 1457 y(26)-40 1514 y(27)-40 1570 y(28)-40 1627
y(29)-40 1683 y(30)-40 1740 y(31)-40 1796 y(32)-40 1853 y(33)-40
1909 y(34)-40 1966 y(35)-40 2022 y(36)-40 2078 y(37)-40 2135
y(38)-40 2191 y(39)-40 2248 y(40)-40 2304 y(41)-40 2361 y(42)-40
2417 y(43)-40 2474 y(44)-40 2530 y(45)-40 2587 y(46)-40 2643
y(47)-40 2699 y(48)p eop
%%Page: 12 12
bop 75 -100 a Fu(12)723 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)
l(TIONS)75 49 y Fq(MPI)p 150 49 15 2 v 17 w(ACCUMULATE\(ORIGIN)p
575 49 V 15 w(ADDR,)23 b(ORIGIN)p 877 49 V 16 w(COUNT,)g(ORIGIN)p
1204 49 V 17 w(DATATYPE,)f(TARGET)p 1603 49 V 17 w(RANK,)393
106 y(TARGET)p 540 106 V 17 w(DISP,)h(TARGET)p 844 106 V 16
w(COUNT,)g(TARGET)p 1171 106 V 16 w(DATATYPE,)g(OP,)h(COMM,)f(IERROR\))170
162 y(<type>)g(ORIGIN)p 484 162 V 17 w(ADDR\(*\))170 219 y(INTEGER)g(ORIGIN)p
508 219 V 17 w(COUNT,)g(ORIGIN)p 836 219 V 16 w(DATATYPE,)g(TARGET)p
1235 219 V 16 w(RANK,)g(TARGET)p 1538 219 V 17 w(DISP,)170
275 y(TARGET)p 317 275 V 17 w(DATATYPE,)f(OP,)i(COMM,)f(IERROR)166
362 y Fu(Accum)o(ulate)e(the)f(con)o(ten)o(ts)g(of)g(the)h(origin)g(bu\013er)
f(\(as)g(de\014ned)h(b)o(y)g Fo(o)o(rigin)p 1517 362 14 2 v
15 w(addr)p Fu(,)g Fo(o)o(rigin)p 1756 362 V 16 w(count)75
418 y Fu(and)c Fo(o)o(rigin)p 274 418 V 15 w(datat)o(yp)q(e)p
Fu(\))i(to)d(the)h(bu\013er)g(sp)q(eci\014ed)i(b)o(y)e(argumen)o(ts)f
Fo(ta)o(rget)p 1343 418 V 16 w(count)i Fu(and)f Fo(ta)o(rget)p
1684 418 V 17 w(datat)o(yp)q(e)p Fu(,)75 474 y(at)j(o\013set)g
Fo(ta)o(rget)p 377 474 V 16 w(disp)p Fu(,)j(in)f(the)f(target)e(windo)o(w)j
(sp)q(eci\014ed)g(b)o(y)f Fo(ta)o(rget)p 1326 474 V 16 w(rank)g
Fu(and)g Fo(comm)m Fu(,)e(using)j(the)75 531 y(op)q(eration)g
Fo(op)p Fu(.)38 b(This)22 b(is)g(lik)o(e)h Fo(MPI)p 719 531
V 15 w(PUT)f Fu(except)g(that)e(data)h(is)h(com)o(bined)h(in)o(to)e(the)g
(target)g(area)75 587 y(instead)16 b(of)f(o)o(v)o(erwriting)f(it.)166
644 y(An)o(y)e(of)h(the)f(prede\014ned)i(op)q(erations)f(for)f
Fo(MPI)p 973 644 V 16 w(REDUCE)h Fu(can)f(b)q(e)i(used.)19
b(User-de\014ned)14 b(functions)75 700 y(cannot)h(b)q(e)h(used.)21
b(F)l(or)14 b(example,)i(if)g Fo(op)f Fu(is)h Fo(MPI)p 914
700 V 16 w(SUM)p Fu(,)f(eac)o(h)g(elemen)o(t)h(of)f(the)g(origin)h(bu\013er)g
(is)f(added)75 757 y(to)g(the)g(corresp)q(onding)h(elemen)o(t)g(in)g(the)f
(target,)f(replacing)i(the)g(former)e(v)m(alue)j(in)f(the)f(target.)166
813 y(Both)i(datat)o(yp)q(e)f(argumen)o(ts)g(should)i(b)q(e)f(basic)h(datat)o
(yp)q(es,)e(or)g(a)h(deriv)o(ed)h(datat)o(yp)q(e)e(where)h(all)75
870 y(basic)j(comp)q(onen)o(ts)f(are)g(of)f(the)h(same)g(basic)h(datat)o(yp)q
(e.)31 b(The)19 b(op)q(eration)g Fo(op)g Fu(applies)i(to)d(elemen)o(ts)75
926 y(of)g(that)h(basic)g(t)o(yp)q(e.)31 b(The)19 b Fo(ta)o(rget)p
693 926 V 17 w(datat)o(yp)q(e)h Fu(should)g(not)e(o)o(v)o(erlap)h(with)g
(itself)h(\(the)f(same)f(elemen)o(t)75 983 y(should)e(not)f(o)q(ccur)h(t)o
(wice\).)166 1039 y(A)c(new)h(prede\014ned)h(op)q(eration,)f
Fi(MPI)p 811 1039 13 2 v 14 w(REPLA)o(CE)p Fu(,)d(is)j(de\014ned.)20
b(It)13 b(corresp)q(onds)f(to)g(the)h(asso)q(ciativ)o(e)75
1095 y(function)18 b Ff(f)5 b Fu(\()p Ff(a;)j(b)p Fu(\))15
b(=)h Ff(b)p Fu(;)i(i.e.,)f(the)g(curren)o(t)h(v)m(alue)g(in)g(the)g(target)e
(memory)h(is)h(replaced)g(b)o(y)f(the)h(v)m(alue)75 1152 y(supplied)g(b)o(y)d
(the)g(origin.)189 1258 y Fp(A)n(dvic)n(e)c(to)i(users.)37
b Fo(MPI)p 619 1258 14 2 v 16 w(PUT)11 b Fu(is)h(a)f(sp)q(ecial)h(case)f(of)g
Fo(MPI)p 1178 1258 V 16 w(A)o(CCUMULA)l(TE)p Fu(,)g(with)h(the)f(op)q
(eration)189 1314 y Fi(MPI)p 266 1314 13 2 v 14 w(REPLA)o(CE)19
b Fu(Note,)h(ho)o(w)o(ev)o(er,)g(that)g Fo(MPI)p 987 1314 14
2 v 16 w(PUT)g Fu(and)g Fo(MPI)p 1289 1314 V 16 w(A)o(CCUMULA)l(TE)h
Fu(ha)o(v)o(e)f(sligh)o(tly)189 1370 y(di\013eren)o(t)15 b(atomicit)o(y)g
(seman)o(tics)g({)g(see)h(Section)g(1.5.)j(\()p Fp(End)c(of)i(advic)n(e)f(to)
g(users.)p Fu(\))75 1476 y Fn(Example)i(1.4)k Fu(W)l(e)d(w)o(an)o(t)e(to)g
(compute)i Fq(B)p Fu(\()p Fq(j)p Fu(\))e(=)976 1444 y Fd(P)1020
1488 y Fc(map)p Fb(\()p Fc(i)p Fb(\)=)p Fc(j)1158 1476 y Fq(A)p
Fu(\()p Fq(i)p Fu(\).)28 b(The)18 b(arra)o(ys)f Fq(A,)24 b(B)18
b Fu(and)g Fq(map)g Fu(are)75 1533 y(distributed)f(in)f(the)f(same)g(manner.)
20 b(W)l(e)15 b(write)g(the)h(simple)g(v)o(ersion.)75 1638
y Fq(SUBROUTINE)22 b(SUM\()i(A,)f(B,)h(map,)f(m,)h(comm,)f(p\))75
1695 y(INTEGER)g(m,)g(map\(m\),)g(comm,)h(p)75 1751 y(REAL)f(A\(m\),)g
(B\(m\))75 1864 y(CALL)g(MPI_RMA_INIT\(B,)f(m,)i(MPI_REAL,)e(comm,)i
(sumcomm,)e(ierr\))75 1977 y(DO)i(i=1,m)147 2033 y(j)f(=)h(map\(i\)/m)147
2090 y(k)f(=)h(MOD\(map\(i\),m\))147 2146 y(CALL)f(MPI_ACCUMULATE\(A\(i\),)e
(1,)j(MPI_REAL,)e(j,)i(k,)f(1,)h(0,)g(MPI_SUM,)1149 2203 y(sumcomm,)f(ierr\))
75 2259 y(END)g(DO)75 2372 y(CALL)g(MPI_BARRIER\(sumcomm,)e(ierr\))75
2429 y(CALL)i(MPI_COMM_FREE\(sumcomm,)e(ierr\))75 2485 y(RETURN)166
2591 y Fu(This)d(co)q(de)h(is)f(iden)o(tical)i(to)d(the)h(co)q(de)h(in)g
(Example)f(1.3,)f(page)h(10,)g(except)g(that)f(a)h(call)h(to)e(get)75
2647 y(has)f(b)q(een)h(replaced)h(b)o(y)e(a)f(call)j(to)d(accum)o(ulate.)23
b(\(Note)16 b(that,)f(if)h Fq(map)g Fu(is)h(one-to-one,)f(then)g(the)g(co)q
(de)75 2704 y(computes)c Fq(B)h Fu(=)g Fq(A)p Fu(\()p Fq(map)473
2687 y Fa(\000)p Fc(1)515 2704 y Fu(\),)f(whic)o(h)h(the)f(rev)o(erse)g
(assignmen)o(t)g(to)f(he)i(one)f(computed)h(in)f(that)g(example.\))1967
46 y Fj(1)1967 103 y(2)1967 159 y(3)1967 215 y(4)1967 272 y(5)1967
328 y(6)1967 385 y(7)1967 441 y(8)1967 498 y(9)1959 554 y(10)1959
611 y(11)1959 667 y(12)1959 724 y(13)1959 780 y(14)1959 836
y(15)1959 893 y(16)1959 949 y(17)1959 1006 y(18)1959 1062 y(19)1959
1119 y(20)1959 1175 y(21)1959 1232 y(22)1959 1288 y(23)1959
1345 y(24)1959 1401 y(25)1959 1457 y(26)1959 1514 y(27)1959
1570 y(28)1959 1627 y(29)1959 1683 y(30)1959 1740 y(31)1959
1796 y(32)1959 1853 y(33)1959 1909 y(34)1959 1966 y(35)1959
2022 y(36)1959 2078 y(37)1959 2135 y(38)1959 2191 y(39)1959
2248 y(40)1959 2304 y(41)1959 2361 y(42)1959 2417 y(43)1959
2474 y(44)1959 2530 y(45)1959 2587 y(46)1959 2643 y(47)1959
2699 y(48)p eop
%%Page: 13 13
bop 75 -100 a Fl(1.4.)34 b(SYNCHR)o(ONIZA)l(TION)17 b(CALLS)1031
b Fu(13)75 4 y
18945146 17618979 0 0 32430407 30456954 startTexFig
75 4 a
%%BeginDocument: sync1.eps
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {} def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def
end
save
-108.0 495.0 translate
1 -1 scale
/clp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/l {lineto} bind def
/m {moveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
4 -2 roll mul srgb} bind def
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def
$F2psBegin
10 setmiterlimit
0.06000 0.06000 sc
15.000 slw
[100.0] 0 setdash
n 4950 2625 m 3300 3150 l gs col-1 s gr [] 0 setdash
n 3546.89 3134.41 m 3300.00 3150.00 l 3510.51 3020.06 l 3529.20 3077.73 l 3546.89 3134.41 l clp gs 0.00 setgray ef gr gs col-1 s gr
[100.0] 0 setdash
n 6450 2625 m 8025 3150 l gs col-1 s gr [] 0 setdash
n 7816.29 3017.18 m 8025.00 3150.00 l 7778.34 3131.03 l 7797.82 3074.61 l 7816.29 3017.18 l clp gs 0.00 setgray ef gr gs col-1 s gr
[100.0] 0 setdash
n 8025 5175 m 6600 6000 l gs col-1 s gr [] 0 setdash
n 6837.76 5931.68 m 6600.00 6000.00 l 6777.64 5827.83 l 6808.20 5880.25 l 6837.76 5931.68 l clp gs 0.00 setgray ef gr gs col-1 s gr
[100.0] 0 setdash
n 3300 5325 m 4950 6000 l gs col-1 s gr [] 0 setdash
n 4750.59 5853.60 m 4950.00 6000.00 l 4705.15 5964.66 l 4728.37 5909.63 l 4750.59 5853.60 l clp gs 0.00 setgray ef gr gs col-1 s gr
n 7875 4050 m 5700 7200 l gs col-1 s gr
n 5885.74 7036.60 m 5700.00 7200.00 l 5786.99 6968.41 l 5836.87 7003.00 l 5885.74 7036.60 l clp gs 0.00 setgray ef gr gs col-1 s gr
n 3075 4125 m 5025 6750 l gs col-1 s gr
n 4930.05 6521.56 m 5025.00 6750.00 l 4833.72 6593.12 l 4882.38 6557.84 l 4930.05 6521.56 l clp gs 0.00 setgray ef gr gs col-1 s gr
/Times-Bold findfont 270.00 scalefont setfont
1800 3930 m
gs 1 -1 sc (put) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
1800 4560 m
gs 1 -1 sc (put) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 1380 m
gs 1 -1 sc (load) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 2010 m
gs 1 -1 sc (load) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
8100 3930 m
gs 1 -1 sc (put) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
8100 4560 m
gs 1 -1 sc (put) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 6930 m
gs 1 -1 sc (load) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 7560 m
gs 1 -1 sc (load) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 8190 m
gs 1 -1 sc (RMA_clear) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 750 m
gs 1 -1 sc (RMA_wait) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 2640 m
gs 1 -1 sc (RMA_clear) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
1800 3300 m
gs 1 -1 sc (RMA_start) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
1800 5190 m
gs 1 -1 sc (RMA_complete) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
8100 3300 m
gs 1 -1 sc (RMA_start) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
8100 5190 m
gs 1 -1 sc (RMA_complete) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 6300 m
gs 1 -1 sc (RMA_wait) col-1 show gr
$F2psEnd
restore
%%EndDocument
75 4 a
endTexFig
75 1218 a Fu(Figure)19 b(1.1:)27 b(2-part)o(y)18 b(comm)o(unication.)31
b(Dashed)19 b(arro)o(ws)f(represen)o(t)h(sync)o(hronizations)h(and)f(solid)75
1274 y(arro)o(ws)14 b(represen)o(t)h(comm)o(unication)h(\(data)e(dep)q
(endencies\).)75 1414 y(In)20 b(a)e(similar)i(manner,)g(w)o(e)e(can)h
(replace)h(in)g(Example)f(1.2,)g(page)f(9,)i(the)f(call)h(to)e(get)g(b)o(y)h
(a)g(call)h(to)75 1471 y(accum)o(ulate,)e(th)o(us)f(p)q(erforming)h(the)g
(computation)f(with)h(only)g(one)f(comm)o(unication)i(b)q(et)o(w)o(een)e(an)o
(y)75 1527 y(t)o(w)o(o)d(pro)q(cesses.)75 1670 y Fr(1.4)59
b(Synchronization)20 b(calls)75 1772 y Fu(Sync)o(hronization)e(calls)g
(accept)f(as)f(parameter)g(a)h(windo)o(w)g(iden)o(ti\014er)h(\(comm)o
(unicator,)e(or)g(comm)o(u-)75 1828 y(nicator)g(and)g(rank\).)21
b(These)16 b(calls)h(are)f(used)g(for)g(ordering)g(correctly)g(con\015icting)
h(accesses)g(to)e(RMA)75 1885 y(windo)o(ws,)h(and)h(making)f(sure)h(that)e
(they)h(are)g(not)g(concurren)o(t.)23 b(These)17 b(sync)o(hronization)g
(calls)h(ma)o(y)75 1941 y(not,)12 b(in)g(general,)g(b)q(e)h(used)f(to)f(sync)
o(hronize)i(op)q(erations)e(other)h(than)f(con\015icting)i(accesses)f(to)f
(an)h(RMA)75 1997 y(windo)o(w.)166 2054 y(Figure)k(1.1)e(illustrates)j(the)f
(general)g(sync)o(hronization)g(pattern,)f(for)g(2-part)o(y)g(comm)o
(unication,)75 2110 y(i.e.,)f(for)g(con\015icts)g(b)q(et)o(w)o(een)h(RMA)f
(acceses)h(and)f(lo)q(cal)h(accesses.)20 b(The)15 b(\014gure)f(illustrates)h
(the)f(case)g(of)75 2167 y(m)o(ultiple)h(pro)q(ducers)f(to)f(a)h(windo)o(w,)f
(that)g(use)h(put)f(calls;)i(the)f(other)f(RMA)h(calls)g(are)f(dealt)h
(similarly)l(.)75 2223 y(Accesses)j(to)e(the)i(windo)o(w)f(is)h(preceded)g
(and)f(follo)o(w)o(ed)h(b)o(y)f(sync)o(hronization)h(calls)g(on)g(this)f
(windo)o(w.)75 2280 y(The)e(preceeding)i(sync)o(hronization)f(call)h(\()p
Fo(MPI)p 902 2280 14 2 v 15 w(RMA)p 1016 2280 V 17 w(ST)l(ART)f
Fu(and)g Fo(MPI)p 1360 2280 V 15 w(RMA)p 1474 2280 V 17 w(W)l(AIT)p
Fu(\))f(ensures)h(that)75 2336 y(the)j(windo)o(w)g(access)h(do)q(es)f(not)g
(start)e(b)q(efore)j(other)e(con\015icting)j(op)q(erations)e(ha)o(v)o(e)g
(completed;)i(the)75 2393 y(ensuing)f(sync)o(hronization)g(call)h(\()p
Fo(MPI)p 761 2393 V 15 w(RMA)p 875 2393 V 17 w(COMPLETE)e Fu(and)g
Fo(MPI)p 1324 2393 V 16 w(RMA)p 1439 2393 V 17 w(CLEAR)p Fu(\))g(ensures)h
(that)75 2449 y(the)c(windo)o(w)h(access)f(completes)h(b)q(efore)f(other)g
(con\015icting)i(op)q(erations)e(ha)o(v)o(e)g(started.)166
2506 y(Sync)o(hronization)h(calls)h(that)d(protect)h(RMA)g(accesses)h(need)g
(a\013ect)f(only)g(the)h(brac)o(k)o(eted)f(RMA)75 2562 y(calls)h(to)e(the)h
(relev)m(an)o(t)g(windo)o(w\(s\).)20 b(The)15 b(preceding)h(sync)o
(hronization)g(has)e(to)g(b)q(e)i(completed)g(b)q(efore)75
2618 y(the)f(RMA)h(call)g(a\013ects)e(the)h(target)f(memory;)h(and)g(the)g
(data)g(transfers)f(e\013ected)h(b)o(y)g(the)h(RMA)f(calls)75
2675 y(m)o(ust)k(complete)h(b)q(efore)g(the)f(ensuing)i(sync)o(hronization)f
(call)g(starts.)31 b(On)20 b(the)g(other)f(hand,)h(other)-32
46 y Fj(1)-32 103 y(2)-32 159 y(3)-32 215 y(4)-32 272 y(5)-32
328 y(6)-32 385 y(7)-32 441 y(8)-32 498 y(9)-40 554 y(10)-40
611 y(11)-40 667 y(12)-40 724 y(13)-40 780 y(14)-40 836 y(15)-40
893 y(16)-40 949 y(17)-40 1006 y(18)-40 1062 y(19)-40 1119
y(20)-40 1175 y(21)-40 1232 y(22)-40 1288 y(23)-40 1345 y(24)-40
1401 y(25)-40 1457 y(26)-40 1514 y(27)-40 1570 y(28)-40 1627
y(29)-40 1683 y(30)-40 1740 y(31)-40 1796 y(32)-40 1853 y(33)-40
1909 y(34)-40 1966 y(35)-40 2022 y(36)-40 2078 y(37)-40 2135
y(38)-40 2191 y(39)-40 2248 y(40)-40 2304 y(41)-40 2361 y(42)-40
2417 y(43)-40 2474 y(44)-40 2530 y(45)-40 2587 y(46)-40 2643
y(47)-40 2699 y(48)p eop
%%Page: 14 14
bop 75 -100 a Fu(14)723 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)
l(TIONS)75 4 y
18945146 18566234 0 0 30851645 30391173 startTexFig
75 4 a
%%BeginDocument: sync2.eps
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {} def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def
end
save
-108.0 494.0 translate
1 -1 scale
/clp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/l {lineto} bind def
/m {moveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
4 -2 roll mul srgb} bind def
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def
$F2psBegin
10 setmiterlimit
0.06000 0.06000 sc
15.000 slw
[100.0] 0 setdash
n 4950 2625 m 3300 3150 l gs col-1 s gr [] 0 setdash
n 3546.89 3134.41 m 3300.00 3150.00 l 3510.51 3020.06 l 3529.20 3077.73 l 3546.89 3134.41 l clp gs 0.00 setgray ef gr gs col-1 s gr
[100.0] 0 setdash
n 6450 2625 m 8025 3150 l gs col-1 s gr [] 0 setdash
n 7816.29 3017.18 m 8025.00 3150.00 l 7778.34 3131.03 l 7797.82 3074.61 l 7816.29 3017.18 l clp gs 0.00 setgray ef gr gs col-1 s gr
[100.0] 0 setdash
n 8025 5175 m 6600 6000 l gs col-1 s gr [] 0 setdash
n 6837.76 5931.68 m 6600.00 6000.00 l 6777.64 5827.83 l 6808.20 5880.25 l 6837.76 5931.68 l clp gs 0.00 setgray ef gr gs col-1 s gr
[100.0] 0 setdash
n 3300 5325 m 4950 6000 l gs col-1 s gr [] 0 setdash
n 4750.59 5853.60 m 4950.00 6000.00 l 4705.15 5964.66 l 4728.37 5909.63 l 4750.59 5853.60 l clp gs 0.00 setgray ef gr gs col-1 s gr
n 4500 1800 m 2925 4125 l gs col-1 s gr
n 3109.28 3959.95 m 2925.00 4125.00 l 3009.93 3892.65 l 3060.10 3926.80 l 3109.28 3959.95 l clp gs 0.00 setgray ef gr gs col-1 s gr
n 6000 1725 m 7500 4050 l gs col-1 s gr
n 7420.31 3815.80 m 7500.00 4050.00 l 7319.47 3880.86 l 7370.39 3848.83 l 7420.31 3815.80 l clp gs 0.00 setgray ef gr gs col-1 s gr
/Times-Bold findfont 270.00 scalefont setfont
5100 2010 m
gs 1 -1 sc (put) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 1380 m
gs 1 -1 sc (put) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
1800 3930 m
gs 1 -1 sc (get) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
1800 4560 m
gs 1 -1 sc (get) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
8100 3930 m
gs 1 -1 sc (get) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
8100 4560 m
gs 1 -1 sc (get) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 6930 m
gs 1 -1 sc (put) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 7560 m
gs 1 -1 sc (put) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 750 m
gs 1 -1 sc (lock\(exclusive\)) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 2640 m
gs 1 -1 sc (unlock) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
1800 3300 m
gs 1 -1 sc (lock\(shared\)) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
1800 5190 m
gs 1 -1 sc (unlock) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
8100 3300 m
gs 1 -1 sc (lock\(shared\)) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
8100 5190 m
gs 1 -1 sc (unlock) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 6300 m
gs 1 -1 sc (lock\(exclusive\)) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
5100 8190 m
gs 1 -1 sc (unlock) col-1 show gr
$F2psEnd
restore
%%EndDocument
75 4 a
endTexFig
75 1278 a Fu(Figure)k(1.2:)27 b(3-part)o(y)18 b(comm)o(unication.)31
b(Dashed)19 b(arro)o(ws)f(represen)o(t)h(sync)o(hronizations)h(and)f(solid)75
1334 y(arro)o(ws)14 b(represen)o(t)h(comm)o(unication)h(\(data)e(dep)q
(endencies\).)75 1474 y(op)q(erations)i(brac)o(k)o(eted)g(b)o(y)g(these)g(t)o
(w)o(o)f(sync)o(hronization)i(calls)g(ma)o(y)f(not)f(b)q(e)i(dela)o(y)o(ed)g
(un)o(til)g(the)f(\014rst)75 1531 y(sync)o(hronization)i(call)g(completes,)g
(and)f(ma)o(y)f(not)h(complete)g(b)q(efore)h(the)f(ensuing)h(sync)o
(hronization)75 1587 y(completes.)166 1643 y(Figure)e(1.2)e(illustrates)j
(the)f(general)g(sync)o(hronization)g(pattern,)f(for)g(3-part)o(y)g(comm)o
(unication,)75 1700 y(i.e.,)20 b(for)e(con\015icts)i(b)q(et)o(w)o(een)g(RMA)f
(accesses.)32 b(The)19 b(\014gure)g(illustrates)i(m)o(ultiple)g(readers)e
(and)g(one)75 1756 y(writer,)d(whic)o(h)i(access)f(memory)f(at)g(a)g(pro)q
(cess)h(that)f(is)h(not)f(in)o(v)o(olv)o(ed)i(in)f(the)g(comm)o(unication.)25
b(Ac-)75 1813 y(cesses)16 b(are)e(brac)o(k)o(eted)h(b)o(y)g(sync)o
(hronization)i(calls)f(that)e(ensure)i(that)f(con\015icts)h(are)f(a)o(v)o
(oided.)166 1869 y(MPI)10 b(pro)o(vides)h(three)g(sync)o(hronization)h(mec)o
(hanisms:)18 b(The)11 b(most)e(elab)q(orate)i(is)g(pro)o(vided)g(b)o(y)g(the)
75 1926 y(four)f(functions)h Fo(MPI)p 441 1926 14 2 v 15 w(RMA)p
555 1926 V 17 w(ST)l(ART,)g(MPI)p 820 1926 V 16 w(RMA)p 935
1926 V 17 w(COMPLETE,)e(MPI)p 1297 1926 V 16 w(RMA)p 1412 1926
V 17 w(W)l(AIT,)h Fu(and)g Fo(MPI)p 1730 1926 V 16 w(RMA)p
1845 1926 V 17 w(CLEAR)p Fu(,)75 1982 y(whic)o(h)17 b(directly)g(supp)q(orts)
f(the)g(2-part)o(y)f(sync)o(hronization)i(pattern)e(illustrated)j(in)e
(Figure)h(1.1.)k(The)75 2039 y Fo(MPI)p 160 2039 V 16 w(BARRIER)16
b Fu(collectiv)o(e)h(comm)o(unication)f(call)g(supp)q(orts)g(a)f
(simpli\014ed)i(sync)o(hronization)f(pattern)75 2095 y(that)j(is)h(often)f
(used)i(in)f(parallel)h(computations:)29 b(namely)20 b(a)g(lo)q(osely-sync)o
(hronous)g(mo)q(del,)i(where)75 2152 y(global)15 b(computation)f(phases)g
(alternate)g(with)g(global)g(comm)o(unication)h(phases.)20
b(Finaly)15 b(shared)f(and)75 2208 y(exclusiv)o(e)i(lo)q(c)o(ks)g(are)e(pro)o
(vided)i(b)o(y)e(the)h(t)o(w)o(o)e(function)j Fo(MPI)p 1128
2208 V 16 w(LOCK)e Fu(and)h Fo(MPI)p 1447 2208 V 16 w(UNLOCK)p
Fu(,)f(in)i(supp)q(ort)75 2264 y(of)f(3-part)o(y)f(comm)o(unication)i(sync)o
(hronization)g(of)f(the)g(t)o(yp)q(e)g(illustrated)i(in)f(Figure)f(1.2.)1967
46 y Fj(1)1967 103 y(2)1967 159 y(3)1967 215 y(4)1967 272 y(5)1967
328 y(6)1967 385 y(7)1967 441 y(8)1967 498 y(9)1959 554 y(10)1959
611 y(11)1959 667 y(12)1959 724 y(13)1959 780 y(14)1959 836
y(15)1959 893 y(16)1959 949 y(17)1959 1006 y(18)1959 1062 y(19)1959
1119 y(20)1959 1175 y(21)1959 1232 y(22)1959 1288 y(23)1959
1345 y(24)1959 1401 y(25)1959 1457 y(26)1959 1514 y(27)1959
1570 y(28)1959 1627 y(29)1959 1683 y(30)1959 1740 y(31)1959
1796 y(32)1959 1853 y(33)1959 1909 y(34)1959 1966 y(35)1959
2022 y(36)1959 2078 y(37)1959 2135 y(38)1959 2191 y(39)1959
2248 y(40)1959 2304 y(41)1959 2361 y(42)1959 2417 y(43)1959
2474 y(44)1959 2530 y(45)1959 2587 y(46)1959 2643 y(47)1959
2699 y(48)p eop
%%Page: 15 15
bop 75 -100 a Fl(1.4.)34 b(SYNCHR)o(ONIZA)l(TION)17 b(CALLS)1031
b Fu(15)75 49 y Fe(1.4.1)49 b(General)16 b(2-pa)o(rt)o(y)g(synchronization)75
230 y Fo(MPI)p 160 230 14 2 v 16 w(RMA)p 275 230 V 17 w(ST)l(ART\(comm)m(,)c
(rank\))117 307 y Fk(IN)155 b Fo(comm)466 b Fk(comm)o(unicator)11
b(asso)q(ciated)k(with)f(windo)o(w)f(\(handle\))117 382 y(IN)155
b Fo(rank)504 b Fk(rank)14 b(of)f(pro)q(cess)j(\(in)o(teger\))75
506 y Fq(int)23 b(MPI)p 245 506 15 2 v 17 w(RMA)p 334 506 V
17 w(start\(MPI)p 567 506 V 16 w(Comm)g(comm,)g(int)h(rank\))75
593 y(MPI)p 150 593 V 17 w(RMA)p 239 593 V 17 w(START\(COMM,)e(RANK,)h
(IERROR\))170 649 y(INTEGER)g(COMM,)h(RANK,)f(IERROR)166 736
y Fu(Starts)13 b(a)h(sequence)i(of)e(RMA)g(op)q(erations)h(targetted)e(to)g
(the)i(windo)o(w)f(asso)q(ciated)h(with)g Fo(\(com)o(m)m(,)75
792 y(rank\))p Fu(.)k(The)d(succeeding)g(RMA)f(accesses)h(to)e(this)h(windo)o
(w)g(will)i(b)q(e)e(dela)o(y)o(ed,)h(if)f(necessary)l(,)g(un)o(til)h(the)75
849 y(windo)o(w)f(is)h(mark)o(ed)f(clear)h(b)o(y)f(a)g(call)h(to)e
Fo(MPI)p 881 849 14 2 v 16 w(RMA)p 996 849 V 17 w(CLEAR)p Fu(.)75
1000 y Fo(MPI)p 160 1000 V 16 w(RMA)p 275 1000 V 17 w(COMPLETE\(com)o(m)n(,)d
(rank\))117 1077 y Fk(IN)155 b Fo(comm)466 b Fk(comm)o(unicator)11
b(asso)q(ciated)k(with)f(windo)o(w)f(\(handle\))117 1152 y(IN)155
b Fo(rank)504 b Fk(rank)14 b(of)f(pro)q(cess)j(\(in)o(teger\))75
1276 y Fq(int)23 b(MPI)p 245 1276 15 2 v 17 w(RMA)p 334 1276
V 17 w(complete\(MPI)p 639 1276 V 16 w(Comm)g(comm,)g(int)g(rank\))75
1363 y(MPI)p 150 1363 V 17 w(RMA)p 239 1363 V 17 w(START\(COMM,)f(RANK,)h
(IERROR\))170 1419 y(INTEGER)g(COMM,)h(RANK,)f(IERROR)166 1506
y Fu(Complete)15 b(\(at)e(the)i(origin\))f(a)h(sequence)g(of)f(RMA)h(op)q
(erations)f(targetted)g(to)f(the)i(windo)o(w)g(asso-)75 1562
y(ciated)h(with)f Fo(\(comm)m(,)d(rank\))p Fu(.)166 1619 y(Consider)k(a)f
(sequence)h(of)f(calls)75 1712 y Fq(MPI_RMA_START\(comm,)21
b(rank\))75 1769 y(...)75 1825 y(MPI_PUT\(...,rank,...,comm\))75
1882 y(...)75 1938 y(MPI_RMA_COMPLETE\(comm,)g(rank\))75 2032
y Fu(The)e(call)h(to)f Fo(MPI)p 404 2032 14 2 v 15 w(RMA)p
518 2032 V 17 w(COMPLETE)g Fu(blo)q(c)o(ks)h(un)o(til)g(the)f(put)g(call)h
(has)f(completed)h(at)f(the)g(origin;)75 2089 y(and)13 b(the)g(target)f
(windo)o(w)h(will)i(b)q(e)e(accessed)h(b)o(y)f(the)g(put)g(op)q(eration)g
(only)h(if)f(it)h(is)f(clear.)20 b(On)13 b(the)g(other)75 2145
y(hand,)j(it)f(is)h(up)g(to)f(the)g(implemen)o(tation)i(whether)f(the)f
(\014rst)g(t)o(w)o(o)f(calls)j(blo)q(c)o(k.)k(An)16 b(implemen)o(tation)75
2201 y(ma)o(y)e(ha)o(v)o(e)g(the)h(call)g(to)f Fo(MPI)p 577
2201 V 16 w(RMA)p 692 2201 V 17 w(ST)l(ART)h Fu(blo)q(c)o(k)h(un)o(til)f(the)
g(windo)o(w)g(is)g(clear;)f(or)g(it)h(ma)o(y)f(allo)o(w)h(the)75
2258 y(call)j(to)f Fo(MPI)p 303 2258 V 16 w(RMA)p 418 2258
V 17 w(ST)l(ART)h Fu(to)e(pro)q(ceed,)j(and)e(blo)q(c)o(k)h(the)f(call)i(to)d
Fo(MPI)p 1353 2258 V 16 w(PUT)p Fu(,)h(un)o(til)i(the)e(windo)o(w)g(is)75
2314 y(clear.)j(or,)12 b(it)i(ma)o(y)e(allo)o(w)i(b)q(oth)f(calls)h(to)e(pro)
q(ceed)i(and)g(dela)o(y)f(the)h(access)f(to)f(the)i(target)d(windo)o(w)j(un)o
(til)75 2371 y(the)h(call)i(to)d Fo(MPI)p 377 2371 V 16 w(RMA)p
492 2371 V 17 w(COMPLETE)h Fu(o)q(ccurred)h(and)f(un)o(til)i(the)e(target)f
(windo)o(w)h(is)h(clear.)166 2427 y(The)i(lo)q(cal)i(comm)o(unication)f
(bu\013er)f(of)g(the)h(put)f(call)i(should)f(not)f(b)q(e)h(accessed)g(after)e
(the)i(put)75 2484 y(call)d(started,)e(un)o(til)j(the)e(ensuing)h(call)h(to)d
Fo(MPI)p 899 2484 V 16 w(RMA)p 1014 2484 V 17 w(COMPLETE)h
Fu(completed.)166 2540 y Fo(MPI)p 251 2540 V 16 w(RMA)p 366
2540 V 17 w(COMPLETE)h Fu(enforces)h(completion)h(of)e(preceeding)i(RMA)f
(calls)h(at)d(the)i(origin.)25 b(A)75 2597 y(put)15 b(or)f(accum)o(ulate)h
(call)g(ma)o(y)f(not)g(ha)o(v)o(e)g(completed)i(at)e(the)g(target)f(when)i
(it)g(has)g(completed)g(at)f(the)75 2653 y(origin.)-32 46 y
Fj(1)-32 103 y(2)-32 159 y(3)-32 215 y(4)-32 272 y(5)-32 328
y(6)-32 385 y(7)-32 441 y(8)-32 498 y(9)-40 554 y(10)-40 611
y(11)-40 667 y(12)-40 724 y(13)-40 780 y(14)-40 836 y(15)-40
893 y(16)-40 949 y(17)-40 1006 y(18)-40 1062 y(19)-40 1119
y(20)-40 1175 y(21)-40 1232 y(22)-40 1288 y(23)-40 1345 y(24)-40
1401 y(25)-40 1457 y(26)-40 1514 y(27)-40 1570 y(28)-40 1627
y(29)-40 1683 y(30)-40 1740 y(31)-40 1796 y(32)-40 1853 y(33)-40
1909 y(34)-40 1966 y(35)-40 2022 y(36)-40 2078 y(37)-40 2135
y(38)-40 2191 y(39)-40 2248 y(40)-40 2304 y(41)-40 2361 y(42)-40
2417 y(43)-40 2474 y(44)-40 2530 y(45)-40 2587 y(46)-40 2643
y(47)-40 2699 y(48)p eop
%%Page: 16 16
bop 75 -100 a Fu(16)723 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)
l(TIONS)166 49 y Fu(Eac)o(h)10 b(call)h(to)f Fo(MPI)p 488 49
14 2 v 15 w(RMA)p 602 49 V 17 w(ST)l(ART)h Fu(has)f(to)g(b)q(e)h(matc)o(hed)f
(b)o(y)g(a)g(unique)h(follo)o(wing)g(call)g(to)f Fo(MPI)p 1765
49 V 16 w(RMA)p 1880 49 V 17 w(COMPLETE)p Fu(,)75 106 y(and)15
b(vice)i(v)o(ersa.)75 257 y Fo(MPI)p 160 257 V 16 w(RMA)p 275
257 V 17 w(W)l(AIT\(com)o(m)m(,)12 b(count\))117 334 y Fk(IN)155
b Fo(comm)466 b Fk(comm)o(unicator)11 b(asso)q(ciated)k(with)f(windo)o(w)f
(\(handle\))117 409 y(IN)155 b Fo(count)482 b Fk(n)o(um)o(b)q(er)13
b(of)h(of)f(RMA)h(op)q(erations)g(to)f(w)o(ait)g(for)h(\(in)o(teger\))75
533 y Fq(int)23 b(MPI)p 245 533 15 2 v 17 w(RMA)p 334 533 V
17 w(wait\(MPI)p 543 533 V 16 w(Comm)g(comm,)h(int)f(count\))75
620 y(MPI)p 150 620 V 17 w(RMA)p 239 620 V 17 w(WAIT\(COMM,)f(COUNT,)h
(IERROR\))170 676 y(INTEGER)g(COMM,)h(COUNT,)f(IERROR)166 763
y Fu(Blo)q(c)o(ks)15 b(un)o(til)g Fo(count)g Fu(calls)g(to)e
Fo(MPI)p 775 763 14 2 v 16 w(RMA)p 890 763 V 17 w(COMPLETE\(comm)m(,)e
(rank\))j Fu(o)q(ccurred,)g(where)g Fo(rank)g Fu(is)75 819
y(the)h(rank)h(of)f(the)g(caller.)22 b(I.e.,)14 b Fo(MPI)p
703 819 V 16 w(RMA)p 818 819 V 17 w(W)l(AIT)h Fu(blo)q(c)o(ks)h(un)o(til)h
Fo(count)g Fu(pro)q(cesses)e(accessed)h(the)g(lo)q(cal)75 876
y(windo)o(w)h(asso)q(ciated)h(with)f Fo(comm)11 b Fu(with)18
b(RMA)f(calls.)26 b(When)18 b(the)f(call)h(returns,)f(all)h(RMA)g(accesses)75
932 y(that)e(where)g(started)g(b)q(efore)h(the)f(matc)o(hing)h(calls)g(to)f
Fo(MPI)p 1124 932 V 16 w(RMA)p 1239 932 V 17 w(COMPLETE)g Fu(ha)o(v)o(e)g
(completed)i(at)75 989 y(the)d(target)f(windo)o(w.)75 1140
y Fo(MPI)p 160 1140 V 16 w(RMA)p 275 1140 V 17 w(CLEAR\(comm)m(\))117
1217 y Fk(IN)155 b Fo(comm)466 b Fk(comm)o(unicator)11 b(asso)q(ciated)k
(with)f(windo)o(w)f(\(handle\))75 1341 y Fq(int)23 b(MPI)p
245 1341 15 2 v 17 w(RMA)p 334 1341 V 17 w(clear\(MPI)p 567
1341 V 16 w(Comm)g(comm\))75 1428 y(MPI)p 150 1428 V 17 w(RMA)p
239 1428 V 17 w(clear\(COMM,)f(IERROR\))170 1484 y(INTEGER)h(COMM,)h(IERROR)
166 1571 y Fu(Marks)13 b(the)h(lo)q(cal)g(windo)o(w)g(asso)q(ciated)g(with)g
Fo(comm)8 b Fu(as)14 b(clear,)g(th)o(us)f(allo)o(wing)i(RMA)f(op)q(erations)
75 1627 y(to)h(pro)q(ceed.)166 1684 y(Eac)o(h)10 b(call)h(to)f
Fo(MPI)p 488 1684 14 2 v 15 w(RMA)p 602 1684 V 17 w(W)l(AIT)g
Fu(has)g(to)g(b)q(e)h(matc)o(hed)f(b)o(y)g(a)g(unique)h(follo)o(wing)g(call)g
(to)f Fo(MPI)p 1735 1684 V 16 w(RMA)p 1850 1684 V 17 w(CLEAR)p
Fu(,)75 1740 y(and)15 b(vice)i(v)o(ersa.)166 1872 y Fh(Alternativ)o(es)o(:)34
b Fk(Rolf)12 b(argues)i(for)f(an)g(optimization)d(where)15
b(the)f(sync)o(hronization)f(implied)e(b)o(y)i(the)h(call)75
1922 y(to)f Fi(MPI)p 202 1922 13 2 v 14 w(RMA)p 307 1922 V
15 w(ST)m(ART)f Fk(is)h(a)o(v)o(oided)f(when)h(the)g(origin)f(pro)q(cess)j
(\\kno)o(ws")d(that)h(the)g(target)g(windo)o(w)f(is)h(clear,)g(as)75
1972 y(a)f(side-e\013ect)h(of)f(another)g(comm)o(unicatio)o(n)d(\(this)j(is)g
(analogue)f(to)h(the)g(\\ready-receiv)o(e")h(optimization\).)i(There)75
2022 y(are)f(three)h(c)o(hoices:)134 2097 y(1.)22 b(F)m(orget)13
b(ab)q(out)h(that)g(optimization.)134 2171 y(2.)22 b(Allo)o(w)14
b(RMA)h(op)q(erations)h(to)g(start)g(with)f(no)h(call)e(to)i
Fi(MPI)p 1144 2171 V 14 w(RMA)p 1249 2171 V 15 w(ST)m(ART)p
Fk(.)f(The)h(disadv)n(an)o(tage)e(is)i(that)189 2221 y(w)o(e)g(lo)q(ose)g
(the)h(brac)o(k)o(eting)f(pro)o(vided)g(b)o(y)f(the)i(start{complete)f
(pairs,)g(that)g(is)g(a)o(v)n(ailable)e(for)h(all)g(RMA)189
2271 y(op)q(erations.)27 b(In)17 b(particular,)f(one)i(gets)f(to)g(the)g
(put/get)g(call)f(without)h(kno)o(wing)f(whic)o(h)g(t)o(yp)q(e)i(of)e(syn-)
189 2321 y(c)o(hronization)d(will)g(b)q(e)h(used.)19 b(This)14
b(ma)o(y)e(restrict)j(implemen)o(tations.)134 2396 y(3.)22
b(Pro)o(vide)15 b(a)g(\\ready-start")h(v)n(arian)o(t)e(of)h(the)h
Fi(MPI)p 977 2396 V 14 w(RMA)p 1082 2396 V 15 w(ST)m(ART)f
Fk(call.)21 b(E.g.,)15 b(one)g(could)g(ha)o(v)o(e)h(an)f(addi-)189
2445 y(tional)10 b Fi(check/no)q(che)q(ck)16 b Fk(argumen)o(t)11
b(\015ag)g(to)h(tell)g(MPI)g(whether)h(it)f(can)g(assume)g(that)g(the)g
(target)h(windo)o(w)189 2495 y(is)g(clear,)h(without)g(c)o(hec)o(king.)k(An)c
(implemen)o(tation)c(could)k(ignore)g(this)g(additional)e(information.)166
2576 y(One)j(ma)o(y)c(w)o(an)o(t)j(a)g(non)o(blo)q(c)o(king)e(v)o(ersion)i
(of)f Fi(MPI)p 975 2576 V 15 w(RMA)p 1081 2576 V 15 w(W)m(AIT)g
Fk(and/or)g Fi(MPI)p 1426 2576 V 14 w(RMA)p 1531 2576 V 15
w(ST)m(ART)p Fk(.)1967 46 y Fj(1)1967 103 y(2)1967 159 y(3)1967
215 y(4)1967 272 y(5)1967 328 y(6)1967 385 y(7)1967 441 y(8)1967
498 y(9)1959 554 y(10)1959 611 y(11)1959 667 y(12)1959 724
y(13)1959 780 y(14)1959 836 y(15)1959 893 y(16)1959 949 y(17)1959
1006 y(18)1959 1062 y(19)1959 1119 y(20)1959 1175 y(21)1959
1232 y(22)1959 1288 y(23)1959 1345 y(24)1959 1401 y(25)1959
1457 y(26)1959 1514 y(27)1959 1570 y(28)1959 1627 y(29)1959
1683 y(30)1959 1740 y(31)1959 1796 y(32)1959 1853 y(33)1959
1909 y(34)1959 1966 y(35)1959 2022 y(36)1959 2078 y(37)1959
2135 y(38)1959 2191 y(39)1959 2248 y(40)1959 2304 y(41)1959
2361 y(42)1959 2417 y(43)1959 2474 y(44)1959 2530 y(45)1959
2587 y(46)1959 2643 y(47)1959 2699 y(48)p eop
%%Page: 17 17
bop 75 -100 a Fl(1.4.)34 b(SYNCHR)o(ONIZA)l(TION)17 b(CALLS)1031
b Fu(17)75 49 y Fe(1.4.2)49 b(Ba)o(rrier)75 135 y Fu(The)16
b(MPI)f(call)i Fo(MPI)p 442 135 14 2 v 16 w(BARRIER\(comm)n(\))p
Fu(,)12 b(when)k(executed)h(on)e(a)h(comm)o(unicator)f(that)g(is)h(asso)q
(ciated)75 192 y(with)i(RMA)h(windo)o(ws,)f(has)g(the)g(additional)i
(e\013ect)d(of)h(sync)o(hronizing)h(RMA)g(op)q(erations)f(on)g(these)75
248 y(windo)o(ws.)27 b(All)18 b(RMA)g(op)q(erations)g(that)e(w)o(ere)i
(started)e(on)i(a)f(windo)o(w)g(asso)q(ciated)h(with)g Fo(comm)11
b Fu(will)75 304 y(b)q(e)19 b(completed)g(b)q(efore)g(the)f(barrier)h
(completes.)30 b(RMA)18 b(comm)o(unications)h(initiated)h(b)o(y)e(the)h
(caller)75 361 y(b)q(efore)e(the)g(barrier)f(call)i(will)g(complete)g(at)e
(the)g(origin)i(b)q(efore)f(the)f(barrier)h(call)h(returns;)f(they)f(will)75
417 y(complete)g(at)e(the)i(target)e(b)q(efore)h(the)g(barrier)h(call)g
(returns)f(at)g(the)g(target)f(pro)q(cess.)75 539 y Fe(1.4.3)49
b(Lo)q(ck)75 719 y Fo(MPI)p 160 719 V 16 w(RMA)p 275 719 V
17 w(LOCK\(com)o(m)m(,)12 b(rank,)j(lo)q(ck)p 759 719 V 16
w(t)o(yp)q(e\))117 796 y Fk(IN)155 b Fo(comm)466 b Fk(comm)o(unication)11
b(sp)q(ecifying)i(the)i(lo)q(c)o(k)o(ed)f(windo)o(w)117 871
y(IN)155 b Fo(rank)504 b Fk(rank)14 b(of)f(windo)o(w)g(o)o(wner)117
946 y(IN)155 b Fo(lo)q(ck)p 398 946 V 17 w(t)o(yp)q(e)413 b
Fk(either)10 b Fi(MPI)p 1095 946 13 2 v 15 w(LOCK)p 1219 946
V 14 w(EX)o(CLUSIVE)d Fk(or)i Fi(MPI)p 1579 946 V 15 w(LOCK)p
1703 946 V 14 w(SHARED)75 1071 y Fq(int)23 b(MPI)p 245 1071
15 2 v 17 w(RMA)p 334 1071 V 17 w(lock\(MPI)p 543 1071 V 16
w(Comm)g(comm,)h(int)f(rank,)g(int)h(lock)p 1252 1071 V 16
w(type\))75 1157 y(MPI)p 150 1157 V 17 w(RMA)p 239 1157 V 17
w(LOCK\(COMM,)e(RANK,)h(LOCK)p 757 1157 V 17 w(TYPE,)g(IERROR\))170
1214 y(INTEGER)g(COMM,)h(RANK,)f(LOCK)p 747 1214 V 16 w(TYPE,)h(IERROR)166
1300 y Fu(Starts)14 b(a)i(sequence)g(or)f(RMA)h(accesses)g(to)e(the)i(windo)o
(w)g(asso)q(ciated)f(with)h Fo(\(comm)m(,)c(rank\))p Fu(.)21
b(The)75 1357 y(call)e(also)g(ensures)f(that)g(an)o(y)g(RMA)g(access)h(to)e
(the)i(windo)o(w)f(asso)q(ciated)h(with)f Fo(\(comm)m(,)e(rank\))i
Fu(that)75 1413 y(w)o(as)c(protected)i(b)o(y)f(a)g(previously)h(released,)g
(con\015icting)h(lo)q(c)o(k)e(will)i(ha)o(v)o(e)e(completed)h(at)f(the)g
(target.)75 1564 y Fo(MPI)p 160 1564 14 2 v 16 w(WINDO)o(W)p
372 1564 V 16 w(UNLOCK\(comm)m(,)d(rank,)i(lo)q(ck)p 918 1564
V 17 w(t)o(yp)q(e\))117 1641 y Fk(IN)155 b Fo(comm)466 b Fk(comm)o(unication)
11 b(sp)q(ecifying)i(the)i(lo)q(c)o(k)o(ed)f(windo)o(w)117
1716 y(IN)155 b Fo(rank)504 b Fk(rank)14 b(of)f(windo)o(w)g(o)o(wner)166
1841 y Fu(Completes)19 b(at)f(the)h(origin)g(a)f(sequence)i(of)e(RMA)h
(accesses)g(to)f(the)h(windo)o(w)g(asso)q(ciated)g(with)75
1897 y Fo(\(comm)m(,)12 b(rank\))p Fu(.)166 1953 y(RMA)19 b(accesses)g(that)f
(are)h(protected)f(b)o(y)h(an)g(exclusiv)o(e)h(lo)q(c)o(k)g(will)g(not)e(b)q
(e)i(concurren)o(t)f(at)f(the)75 2010 y(target)c(with)h(other)f(RMA)h
(accesses)g(to)f(the)h(same)g(windo)o(w.)20 b(RMA)15 b(accesses)g(that)f(are)
g(protected)h(b)o(y)75 2066 y(a)h(shared)h(lo)q(c)o(k)g(will)h(not)e(b)q(e)i
(concurren)o(t)e(at)g(the)h(target)e(with)i(accesses)g(protected)f(b)o(y)h
(an)f(exclusiv)o(e)75 2123 y(lo)q(c)o(k)g(to)e(the)i(same)e(windo)o(w.)166
2179 y(Consider)i(a)f(sequence)h(of)f(calls)75 2272 y Fq(MPI_LOCK\(comm,)22
b(rank,)h(MPI_EXCLUSIVE\))75 2329 y(MPI_PUT\(...,)f(rank,)h(...,)h(comm\))75
2385 y(MPI_UNLOCK\(comm,)e(rank\))75 2478 y Fu(The)c(call)i(to)e
Fo(MPI)p 402 2478 V 15 w(UNLOCK)h Fu(will)h(blo)q(c)o(k)f(un)o(til)g(the)f
(put)h(transfer)e(completed)i(at)f(the)g(origin.)30 b(It)18
b(is)75 2534 y(up)h(to)f(the)h(implemen)o(tation)g(whether)g(the)g(other)f
(calls)h(are)g(blo)q(c)o(king.)31 b(An)19 b(implemen)o(tation)h(ma)o(y)75
2591 y(ha)o(v)o(e)g(the)g(call)h(to)e Fo(MPI)p 501 2591 V 16
w(LOCK)h Fu(blo)q(c)o(k)h(un)o(til)g(an)f(exclusiv)o(e)i(lo)q(c)o(k)e(on)g
(the)h(windo)o(w)f(is)g(acquired.)36 b(It)75 2647 y(could)15
b(p)q(ostp)q(one)f(lo)q(c)o(k)h(acquisition)g(un)o(til)g(the)f(call)h(to)e
Fo(MPI)p 1113 2647 V 16 w(PUT)h Fu(o)q(ccurs;)h(or)e(it)h(could)h(p)q(ostp)q
(one)f(lo)q(c)o(k)75 2704 y(acquisition)j(and)e(the)g(up)q(date)h(to)f(the)g
(windo)o(w)g(un)o(til)i(the)e(call)h(to)f Fo(MPI)p 1332 2704
V 16 w(UNLOCK)g Fu(o)q(ccurs.)-32 46 y Fj(1)-32 103 y(2)-32
159 y(3)-32 215 y(4)-32 272 y(5)-32 328 y(6)-32 385 y(7)-32
441 y(8)-32 498 y(9)-40 554 y(10)-40 611 y(11)-40 667 y(12)-40
724 y(13)-40 780 y(14)-40 836 y(15)-40 893 y(16)-40 949 y(17)-40
1006 y(18)-40 1062 y(19)-40 1119 y(20)-40 1175 y(21)-40 1232
y(22)-40 1288 y(23)-40 1345 y(24)-40 1401 y(25)-40 1457 y(26)-40
1514 y(27)-40 1570 y(28)-40 1627 y(29)-40 1683 y(30)-40 1740
y(31)-40 1796 y(32)-40 1853 y(33)-40 1909 y(34)-40 1966 y(35)-40
2022 y(36)-40 2078 y(37)-40 2135 y(38)-40 2191 y(39)-40 2248
y(40)-40 2304 y(41)-40 2361 y(42)-40 2417 y(43)-40 2474 y(44)-40
2530 y(45)-40 2587 y(46)-40 2643 y(47)-40 2699 y(48)p eop
%%Page: 18 18
bop 75 -100 a Fu(18)723 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)
l(TIONS)166 49 y Fh(Alternativ)o(es)o(:)166 99 y Fk(W)m(e)e(ma)o(y)f
(consider)j(the)g(same)e(v)n(arian)o(ts)g(that)h(where)h(discussed)g(for)f
Fi(MPI)p 1353 99 13 2 v 14 w(RMA)p 1458 99 V 15 w(ST)m(ART)p
Fk(:)134 180 y(1.)22 b(Supp)q(ort)10 b(for)g(the)g(optimization)d(where)k
(the)g(sync)o(hronization)f(implied)d(b)o(y)j(the)h(call)e(to)h
Fi(MPI)p 1649 180 V 14 w(RMA)p 1754 180 V 15 w(LOCK)189 230
y Fk(is)19 b(a)o(v)o(oided)f(when)i(the)g(origin)e(pro)q(cess)j(\\kno)o(ws")e
(that)g(no)g(con\015icting)g(lo)q(c)o(k)g(is)g(held)h(on)f(the)g(target)189
280 y(windo)o(w.)e(Here,)d(to)q(o,)f(w)o(e)g(can)h(ha)o(v)o(e)f(a)g
(\\ready-lo)q(c)o(k")g(v)n(arian)o(t)f(of)h(the)h Fi(MPI)p
1391 280 V 14 w(RMA)p 1496 280 V 15 w(LOCK)f Fk(call,)f(pro)o(vided)189
330 y(b)o(y)h(an)h(additional)e Fi(check/no)q(che)q(ck)17 b
Fk(argumen)o(t)c(\015ag.)134 401 y(2.)22 b(One)14 b(ma)o(y)e(w)o(an)o(t)i(a)f
(non)o(blo)q(c)o(king)g(v)o(ersion)h(of)f Fi(MPI)p 998 401
V 15 w(RMA)p 1104 401 V 14 w(LOCK)p Fk(.)75 657 y Fr(1.5)59
b(Semantics)18 b(and)i(Co)n(rrectness)75 758 y Fu(An)c(access)g(b)o(y)f(pro)q
(cess)h(A)f(to)g(a)h(windo)o(w)f Fo(\(comm)m(,)d(rank\))k Fp(pr)n(e)n(c)n(e)n
(des)e Fu(an)h(access)h(b)o(y)f(pro)q(cess)h(B)g(to)f(that)75
815 y(same)g(windo)o(w)g(if)h(one)f(of)g(the)g(follo)o(wing)h(conditions)h
(hold:)131 901 y(1.)22 b(A)10 b(executed)i(a)f(call)g(to)g
Fo(MPI)p 666 901 14 2 v 15 w(BARRIER\(comm)o(\))c Fu(after)j(its)h(access)g
(completed,)h(and)f(B)g(completed)189 957 y(a)k(matc)o(hing)g(call)h(b)q
(efore)g(its)f(access)g(started.)131 1048 y(2.)22 b(A)12 b(released)h(its)f
(lo)q(c)o(k)g(on)g(the)g(windo)o(w,)h(calling)h Fo(MPI)p 1092
1048 V 15 w(WINDO)o(W)p 1303 1048 V 17 w(UNLOCK\(com)o(m)m(,)c(rank\))p
Fu(,)i(after)189 1104 y(its)20 b(access,)i(B)f(acquired)g(that)f(lo)q(c)o(k,)
i(completing)g(a)e(call)i(to)e Fo(MPI)p 1386 1104 V 16 w(WINDO)o(W)p
1598 1104 V 16 w(LOCK\(com)o(m)m(,)189 1161 y(rank\))p Fu(,)14
b(after)g(A)h(released)h(it,)f(and)g(b)q(efore)g(its)g(o)o(wn)g(access,)f
(and)i(at)e(least)h(one)g(of)g(the)g(pro)q(cesses)189 1217
y(held)h(the)f(lo)q(c)o(k)h(exclusiv)o(ely)l(..)131 1308 y(3.)22
b(The)12 b(access)h(b)o(y)g(A)f(is)i(a)e(load)h(or)f(store,)g(the)h(access)f
(b)o(y)h(B)g(is)g(an)f(RMA)h(op)q(eration,)g(A)g(executed)g(a)189
1365 y(call)h(to)e Fo(MPI)p 408 1365 V 16 w(RMA)p 523 1365
V 17 w(CLEAR)h Fu(after)f(its)i(access,)f(and)g(B)g(completed)h(a)f(call)h
(to)e Fo(MPI)p 1603 1365 V 16 w(RMA)p 1718 1365 V 17 w(ST)l(ART)189
1421 y Fu(after)i(A)h(cleared)h(the)g(windo)o(w)f(and)h(b)q(efore)f(its)g(o)o
(wn)g(access.)131 1512 y(4.)22 b(The)12 b(access)g(b)o(y)g(A)g(is)h(an)f(RMA)
g(access,)g(the)g(access)g(b)o(y)g(B)h(is)f(a)g(load)g(or)g(store,)f(A)h
(executed)h(a)f(call)189 1568 y(to)h Fo(MPI)p 328 1568 V 16
w(RMA)p 443 1568 V 17 w(COMPLETE)h Fu(after)f(its)h(access,)g(and)g(B)g
(completed)h(a)f(call)h(to)e Fo(MPI)p 1633 1568 V 16 w(RMA)p
1748 1568 V 17 w(W)l(AIT)189 1625 y Fu(b)q(efore)i(its)h(o)o(wn)e(access)i
(that)e(w)o(aited)h(on)g(the)h(complete)g(call)g(of)f(B.)166
1711 y(W)l(e)g(sa)o(y)f(that)h(u)g Fp(fol)r(lows)g Fu(v)g(if)g(v)g(precedes)h
(u;)f(u)g(and)g(v)g(are)g Fp(c)n(oncurr)n(ent)f Fu(if)i(neither)g(u)f
(precedes)h(v)75 1767 y(nor)f(v)g(precedes)h(u.)166 1824 y(A)f(correct)g(MPI)
g(program)f(m)o(ust)h(ob)q(ey)g(the)h(follo)o(wing)g(constrain)o(ts.)131
1910 y(1.)22 b(An)e(RMA)h(up)q(date)g(\(put)f(or)g(accum)o(ulate\))g(to)g(a)g
(windo)o(w)h(is)g(not)e(concurren)o(t)i(with)g(a)f(store)189
1966 y(up)q(date)15 b(to)f(that)g(same)g(windo)o(w.)20 b(Ev)o(en)14
b(up)q(dates)i(to)e(distinct)h(lo)q(cations)h(of)e(the)g(same)h(windo)o(w)189
2023 y(are)g(prohibited.)131 2113 y(2.)22 b(An)15 b(RMA)f(up)q(date)h(to)f(a)
h(windo)o(w)g(is)g(not)f(concurren)o(t)h(to)e(another)i(RMA)f(up)q(date)i(to)
e(the)g(same)189 2170 y(windo)o(w,)k(if)h(they)f(access)g(o)o(v)o(erlaping)g
(lo)q(cations.)29 b(The)18 b(only)h(exception)g(to)e(this)h(rule)h(is)g(that)
189 2226 y(the)d(same)h(v)m(ariable)h(can)f(b)q(e)g(up)q(dated)g(b)o(y)g(t)o
(w)o(o)e(concurren)o(t)i Fo(MPI)p 1348 2226 V 16 w(A)o(CCUMULA)l(TE)g
Fu(calls,)h(that)189 2283 y(use)d(the)g(same)g(accum)o(ulate)h(op)q(eration,)
f(with)h(the)f(same)g(basic)h(datat)o(yp)q(e.)166 2452 y Fh(Discussion:)33
b Fk(W)m(e)12 b(can)h(c)o(ho)q(ose)g(to)g(lab)q(el)f(programs)f(that)i(break)
g(one,)g(or)f(b)q(oth)h(rules,)g(either)h(unde\014ned)75 2508
y(or)g(erroneous.)166 2647 y Fu(If)20 b(a)g(program)e(ob)q(eys)j(these)f
(restrictions,)h(then)f(RMA)g(op)q(erations)g(will)i(ha)o(v)o(e)d(the)h
(follo)o(wing)75 2704 y(b)q(eha)o(vior:)1967 46 y Fj(1)1967
103 y(2)1967 159 y(3)1967 215 y(4)1967 272 y(5)1967 328 y(6)1967
385 y(7)1967 441 y(8)1967 498 y(9)1959 554 y(10)1959 611 y(11)1959
667 y(12)1959 724 y(13)1959 780 y(14)1959 836 y(15)1959 893
y(16)1959 949 y(17)1959 1006 y(18)1959 1062 y(19)1959 1119
y(20)1959 1175 y(21)1959 1232 y(22)1959 1288 y(23)1959 1345
y(24)1959 1401 y(25)1959 1457 y(26)1959 1514 y(27)1959 1570
y(28)1959 1627 y(29)1959 1683 y(30)1959 1740 y(31)1959 1796
y(32)1959 1853 y(33)1959 1909 y(34)1959 1966 y(35)1959 2022
y(36)1959 2078 y(37)1959 2135 y(38)1959 2191 y(39)1959 2248
y(40)1959 2304 y(41)1959 2361 y(42)1959 2417 y(43)1959 2474
y(44)1959 2530 y(45)1959 2587 y(46)1959 2643 y(47)1959 2699
y(48)p eop
%%Page: 19 19
bop 75 -100 a Fl(1.5.)34 b(SEMANTICS)16 b(AND)f(CORRECTNESS)896
b Fu(19)166 49 y(A)16 b(read)g(r)g(\(get)g(or)g(load\))g(from)f(a)h(lo)q
(cation)h(in)g(the)f(windo)o(w)h(will)h(return)e(the)g(v)m(alue)i(written)e
(b)o(y)75 106 y(a)f(write)g(w)g(\(put,)g(accum)o(ulate)g(or)g(store\))f(to)h
(that)f(lo)q(cation)i(if)75 162 y(The)f(write)h(w)f(precedes)h(the)f(read)g
(r,)g(and)75 219 y(an)o(y)g(other)g(write)g(w')g(to)f(that)h(lo)q(cation)h
(either)g(precedes)g(the)f(write)g(w)g(or)g(folllo)o(ws)h(the)f(read)g(r.)166
275 y(The)g(v)m(alue)i(returned)f(b)o(y)f(the)g(read)h(is)f(unde\014ned)i(if)
f(no)f(write)h(satis\014es)f(this)h(condition)h(\(e.g.,)c(if)75
332 y(no)j(write)g(precedes)g(the)g(read,)g(or)f(a)g(write)h(w)g(precedes)h
(the)f(read)f(r,)h(and)g(another)f(write)h(w')f(neither)75
388 y(precedes)h(w)f(nor)g(follo)o(ws)g(r\).)189 493 y Fp(R)n(ationale.)57
b Fu(The)18 b(correctness)g(criteria)h(deal)g(only)f(with)h(con\015icts)g
(that)e(in)o(v)o(olv)o(e)i(RMA)f(op-)189 549 y(erations.)33
b(Con\015icts)21 b(b)q(et)o(w)o(een)f(b)q(et)o(w)o(een)g(load/store)f
(accesses)i(to)e(a)g(windo)o(w)h(will)i(b)q(e)f(dealt)189 606
y(according)16 b(to)g(the)g(shared)g(memory)g(seman)o(tics)g(of)g(the)g
(underlying)i(arc)o(hitecture,)e(whic)o(h)h(are)189 662 y(outside)e(the)h
(scop)q(e)f(of)g(MPI.)189 737 y(The)c(\014rst)g(constrain)o(t)g(on)g(correct)
g(RMA)g(accesses)g(ma)o(y)g(seem)g(unduly)i(restrictiv)o(e,)f(as)f(it)h
(forbids)189 793 y(concurren)o(t)22 b(accesses)h(to)f(nono)o(v)o(erlaping)i
(lo)q(cations)f(in)g(a)g(windo)o(w.)42 b(The)23 b(reason)f(for)h(this)189
850 y(constrain)o(t)14 b(is)h(that,)f(on)g(some)h(arc)o(hitectures,)f
(explicit)j(coherence)f(restoring)e(op)q(erations)h(ma)o(y)189
906 y(b)q(e)c(needed)h(at)e(sync)o(hronization)h(p)q(oin)o(ts.)19
b(A)11 b(di\013eren)o(t)f(op)q(eration)h(ma)o(y)f(b)q(e)h(needed)h(for)e(lo)q
(cations)189 963 y(that)g(where)i(lo)q(cally)h(up)q(dated)f(b)o(y)f(stores)f
(and)i(for)f(lo)q(cations)h(that)e(where)i(remotely)f(up)q(dated)h(b)o(y)189
1019 y(put)k(or)f(accum)o(ulate)h(op)q(erations.)23 b(Without)15
b(this)i(constrain)o(t,)e(the)h(MPI)g(library)h(will)g(ha)o(v)o(e)f(to)189
1076 y(trac)o(k)9 b(precisely)k(whic)o(h)f(lo)q(cations)f(in)h(a)e(windo)o(w)
h(where)g(up)q(dated)h(b)o(y)e(a)h(put)g(or)f(accum)o(ulate)h(call.)189
1132 y(The)20 b(additional)h(o)o(v)o(erhead)e(of)g(main)o(taining)i(suc)o(h)f
(information)f(is)i(considered)g(prohibitiv)o(e.)189 1189 y(\()p
Fp(End)15 b(of)i(r)n(ationale.)p Fu(\))75 1310 y Fe(1.5.1)49
b(Implem)o(e)o(ntation)14 b(mo)q(del)75 1396 y Fo(Distributed)j(Memo)o(r)o(y)
75 1482 y Fu(The)h(data)f(transfer)g(e\013ected)h(b)o(y)g(a)f(put)h(can)g(b)q
(e)g(implemen)o(ted)i(in)e(a)g(distributed)h(memory)e(system)75
1538 y(b)o(y)h(a)f(matc)o(hing)h(pair)h(of)e(send)i(and)f(receiv)o(e.)29
b(The)18 b(origin)g(pro)q(cess)g(sends)h(the)f(put)g(request,)g(whic)o(h)75
1595 y(includes)23 b(the)e(target)f(displacemen)o(t,)k(coun)o(t)d(and)g
(datat)o(yp)q(e)f(argumen)o(ts,)i(to)e(the)h(target)f(pro)q(cess.)75
1651 y(The)d(origin)g(next)f(sends)h(the)f(data,)g(using)h(a)f(standard)f
Fo(MPI)p 1157 1651 14 2 v 16 w(SEND)i Fu(call,)g(with)g(the)f(origin)h
(address,)75 1708 y(coun)o(t,)h(and)g(datat)o(yp)q(e)g(argumen)o(ts.)27
b(The)18 b(target)f(pro)q(cess)h(receiv)o(es)h(the)f(put)g(request)g(and)h(p)
q(osts)e(a)75 1764 y(corresp)q(onding)j(receiv)o(e,)i(using)e(the)f(target)g
(displacemen)o(t,)i(coun)o(t)e(and)h(datat)o(yp)q(e)f(argumen)o(ts.)32
b(A)75 1820 y(similar)16 b(sc)o(heme)g(w)o(orks)e(for)h(the)g(other)g(RMA)g
(transfers.)166 1877 y(In)j(2-part)o(y)d(comm)o(unication,)j(it)f(is)h
(su\016cien)o(t)g(that)e(the)h(target)f(pro)q(cess)h(handles)h(p)q(ending)h
(re-)75 1933 y(quests)h(when)h(the)f(pro)q(cess)h(executes)g(RMA)f(sync)o
(hronization)h(calls)h(that)d(precede)i(load)g(or)f(store)75
1990 y(accesses)h(to)f(the)h(windo)o(w)f(\()p Fo(MPI)p 671
1990 V 16 w(BARRIER,)h Fu(and)42 b Fo(MPI)p 1105 1990 V 16
w(W)l(AIT)p Fu(\).)20 b(In)h(3-part)o(y)e(comm)o(unication,)k(it)75
2046 y(b)q(ecomes)e(necessary)f(to)f(ha)o(v)o(e)h(an)g(async)o(hronous)f
(agen)o(t)h(\(handler,)h(thread,)g(daemon,)g(etc.\))34 b(that)75
2103 y(pro)q(cesses)16 b(p)q(ending)h(requests)e(ev)o(en)g(if)h(no)f(MPI)g
(calls)h(o)q(ccur)g(on)f(the)g(target)f(pro)q(cess.)75 2223
y Fo(Sha)o(red)i(Memo)n(ry)75 2308 y Fu(Put)23 b(can)h(b)q(e)g(implemen)o
(ted)h(in)f(a)g(homogeneous)f(shared)g(memory)g(en)o(vironmen)o(t)h(b)o(y)f
(co)q(de)h(exe-)75 2365 y(cuted)d(b)o(y)f(the)g(calling)i(pro)q(cess.)35
b(Supp)q(ose)21 b(one)f(has,)h(in)g(this)f(en)o(vironmen)o(t,)i(an)e
(implemen)o(tation)75 2421 y(of)f(send/receiv)o(e,)i(using)f
(memory-to-memory)e(cop)o(y)l(.)32 b(The)20 b(put)f(op)q(eration)h(can)f(b)q
(e)h(implemen)o(ted)75 2478 y(as)g(a)g(\\send")h(from)e(origin)i(memory)f(to)
g(an)g(in)o(termediate)h(bu\013er,)h(implemen)o(ted)g(as)e(memory-to-)75
2534 y(memory)c(cop)o(y)l(,)h(follo)o(w)o(ed)g(b)o(y)g(a)f(\\receiv)o(e")i
(from)e(the)h(in)o(termediate)g(bu\013er)g(to)f(the)h(target)f(memory)l(,)75
2591 y(implemen)o(ted)h(again)f(using)g(memory-to-memory)f(cop)o(y)l(.)21
b(The)16 b(in)o(termediate)g(cop)o(y)g(can)f(b)q(e)i(a)o(v)o(oided)75
2647 y(\(or)c(pip)q(elined\))j(for)d(simple)i(\(con)o(tiguous\))e(bu\013ers)g
(or)g(with)h(a)f(more)g(elab)q(orate)h(implemen)o(tation.)20
b(On)75 2704 y(the)c(other)g(hand,)h(additional)h(cop)o(ying)f(ma)o(y)e(b)q
(e)i(required)h(to)d(a)o(v)o(oid)i(alignmen)o(t)g(problems.)23
b(Similar)-32 46 y Fj(1)-32 103 y(2)-32 159 y(3)-32 215 y(4)-32
272 y(5)-32 328 y(6)-32 385 y(7)-32 441 y(8)-32 498 y(9)-40
554 y(10)-40 611 y(11)-40 667 y(12)-40 724 y(13)-40 780 y(14)-40
836 y(15)-40 893 y(16)-40 949 y(17)-40 1006 y(18)-40 1062 y(19)-40
1119 y(20)-40 1175 y(21)-40 1232 y(22)-40 1288 y(23)-40 1345
y(24)-40 1401 y(25)-40 1457 y(26)-40 1514 y(27)-40 1570 y(28)-40
1627 y(29)-40 1683 y(30)-40 1740 y(31)-40 1796 y(32)-40 1853
y(33)-40 1909 y(34)-40 1966 y(35)-40 2022 y(36)-40 2078 y(37)-40
2135 y(38)-40 2191 y(39)-40 2248 y(40)-40 2304 y(41)-40 2361
y(42)-40 2417 y(43)-40 2474 y(44)-40 2530 y(45)-40 2587 y(46)-40
2643 y(47)-40 2699 y(48)p eop
%%Page: 20 20
bop 75 -100 a Fu(20)723 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)
l(TIONS)75 49 y Fu(tec)o(hniques)i(can)f(b)q(e)h(used)f(for)f(other)h
(systems)f(that)g(supp)q(ort)h(some)g(form)f(of)g(cop)o(ying)i(from)e(lo)q
(cal)i(to)75 106 y(remote)e(memory)f(\(no)q(de-to-no)q(de)i(DMA,)e
(re\015ectiv)o(e)j(memory)l(,)d(etc.\).)166 162 y(An)c(additional)i
(memory-to-memory)d(cop)o(y)h(b)o(y)g(the)g(target)f(pro)q(cess)h(is)h
(required)g(if)g(b)q(oth)f(pro)q(cesses)75 219 y(ha)o(v)o(e)15
b(access)g(to)g(shared)g(memory)l(,)f(but)i(the)f(origin)h(pro)q(cess)f
(cannot)g(access)h(the)f(arget)f(windo)o(w.)166 275 y(V)l(arious)h(w)o(eak)g
(memory)g(mo)q(dels)h(in)o(tro)q(duce)g(the)f(follo)o(wing)h(complexities:)75
360 y Fn(Ordering)23 b Fu(If)15 b(memory)g(is)h(not)f(serially)i(consisten)o
(t,)e(explicit)i(calls)g(are)e(needed)i(to)d(ensure)i(that)f(ac-)189
417 y(cesses)e(b)o(y)h(di\013eren)o(t)f(pro)q(cessors)g(are)g(ordered)h
(correctly)l(,)g(at)e(p)q(oin)o(ts)i(that)f(indicate)i(completion)189
473 y(of)f(RMA)i(op)q(erations.)75 564 y Fn(Coherence)22 b
Fu(In)g(man)o(y)e(of)g(the)h(target)e(systems)h(lo)q(cal)i(load/store)e
(accesses)h(are)f(not)h(necessarily)189 620 y(coheren)o(t)13
b(with)h(remote)f(put/get)g(accesses.)19 b(It)14 b(ma)o(y)e(b)q(e)j(the)e
(case)h(that)e(put/get)h(access)h(shared)189 676 y(memory)l(,)j(and)h(that)f
(lo)q(cal)h(cac)o(hes)g(are)f(not)g(main)o(tained)i(coheren)o(t)e(with)h
(memory)l(.)27 b(Or,)18 b(that)189 733 y(a)g(windo)o(w)h(is)h(in)f(priv)m
(ate)h(memory)l(,)f(and)g(a)f(\(noncoheren)o(t\))h(mirror)f(cop)o(y)h(is)g(k)
o(ept)g(in)h(shared)189 789 y(memory)l(,)14 b(where)i(it)f(can)g(b)q(e)h
(accessed)g(b)o(y)f(other)g(pro)q(cesses.)75 880 y Fn(A)o(tomicit)o(y)23
b Fu(The)15 b(implemen)o(tation)h(m)o(ust)f(guaran)o(tee)g(that)f(accum)o
(ulates)i(are)f(atomic.)75 970 y Fn(Gran)o(ularit)o(y)23 b
Fu(Man)o(y)11 b(target)g(systems)g(do)h(not)g(supp)q(ort)g(atomic)g(stores)f
(of)g(arbitrarily)i(sized)g(en)o(tries.)189 1027 y(Load)j(and)h(stores)e(ma)o
(y)h(b)q(e)h(restricted)f(to)g(w)o(ords;)g(and)g(DMA)g(engines)h(ma)o(y)f(b)q
(e)h(restricted)g(to)189 1083 y(cac)o(he)e(line)i(or)e(page)g(transfers.)166
1168 y(The)g(seman)o(tics)f(of)h(RMA)f(op)q(erations)h(allo)o(w)g(us)g(to)f
(asso)q(ciate)g(coherence)i(restoring)e(and)h(mem-)75 1225
y(ory)k(sync)o(hronization)i(op)q(erations)f(with)g(barrier)f(and)h(lo)q(c)o
(k)g(sync)o(hronization)h(calls.)34 b(Th)o(us,)21 b(RMA)75
1281 y(op)q(erations)d(can)g(b)q(e)h(implemen)o(ted)h(e\016cien)o(tly)f(on)f
(shared)g(memory)f(systems)h(with)g(w)o(eak)g(memory)75 1338
y(seman)o(tics.)166 1394 y(W)l(e)g(\014rst)g(describ)q(e)i(a)e(generic)h
(implemen)o(tation)h(mo)q(del,)f(and)g(then)f(map)g(this)h(generic)g(imple-)
75 1451 y(men)o(tation)c(on)o(to)f(concrete)i(examples.)166
1507 y(In)h(our)g(generic)h(mo)q(del,)g(there)f(are)f(t)o(w)o(o)g(copies)h
(of)g(eac)o(h)g(RMA)g(windo)o(w:)23 b(a)17 b Fp(private)g Fu(cop)o(y)g(and)75
1563 y(an)i Fp(RMA)f Fu(cop)o(y)l(.)31 b(A)19 b(load)g(acccesses)g(the)g
(priv)m(ate)h(cop)o(y;)g(a)e(store)h(up)q(dates)g(the)g(priv)m(ate)g(cop)o(y)
l(,)h(and)75 1620 y(p)q(ossibly)e(the)e(RMA)g(cop)o(y;)g(a)f(get)h(accesses)g
(the)g(RMA)g(cop)o(y;)g(a)g(put)g(up)q(dates)h(the)f(RMA)g(cop)o(y)l(,)g(and)
75 1676 y(p)q(ossibly)h(the)e(priv)m(ate)h(cop)o(y)l(.)k(This)c(is)f
(illustrated)i(in)f(Figure)f(1.3.)75 1795 y Fo(Ordering:)45
b Fu(The)23 b(implemen)o(tation)g(m)o(ust)f(ensure)h(that)f(RMA)g(accesses)h
(ha)o(v)o(e)e(completed)j(in)f(the)75 1851 y(RMA)16 b(windo)o(w)g(cop)o(y)g
(at)f(those)g(p)q(oin)o(ts)i(in)f(the)g(execution)h(where)f(RMA)g(op)q
(erations)g(are)g(said)g(to)f(b)q(e)75 1908 y(complete)h(at)e(the)i(target.)
75 2026 y Fo(Coherence:)46 b Fu(The)21 b(rules)g(on)f(correct)g(use)h(of)f
(RMA)h(calls)g(imply)h(that)e(accesses)g(to)g(windo)o(ws)h(can)75
2083 y(b)q(e)c(divided)h(in)o(to)f Fp(private)g(ep)n(o)n(chs)p
Fu(,)f(where)h(the)f(windo)o(w)h(is)f(accessed)h(b)o(y)f(loads)h(or)f(stores)
f(and)i Fp(glob)n(al)75 2139 y(ep)n(o)n(chs)p Fu(,)d(where)i(the)f(windo)o(w)
h(is)g(accessed)g(b)o(y)f(RMA)g(calls.)22 b(A)15 b(priv)m(ate)h(ep)q(o)q(c)o
(h)g(starts)e(\(and)i(an)f(RMA)75 2195 y(ep)q(o)q(c)o(h)f(ends\))g(with)g(a)g
(call)g(to)f Fo(MPI)p 682 2195 14 2 v 16 w(BARRIER)i Fu(or)e
Fo(MPI)p 1036 2195 V 16 w(RMA)p 1151 2195 V 17 w(W)l(AIT)p
Fu(;)g(a)g(priv)m(ate)i(ep)q(o)q(c)o(h)f(ends)h(\(and)e(an)75
2252 y(RMA)i(ep)q(o)q(c)o(h)h(starts\))e(with)i(a)e(call)j(to)d
Fo(MPI)p 839 2252 V 16 w(BARRIER)j Fu(or)d Fo(MPI)p 1196 2252
V 16 w(RMA)p 1311 2252 V 17 w(CLEAR)p Fu(.)166 2308 y(Coherence)i(is)f(ac)o
(hiev)o(ed)h(b)o(y)f(cop)o(ying)h(the)f(RMA)g(cop)o(y)g(in)o(to)g(the)g(priv)
m(ate)h(cop)o(y)f(when)g(a)g(priv)m(ate)75 2365 y(ep)q(o)q(c)o(h)21
b(starts;)g(and)f(cop)o(ying)h(the)f(priv)m(ate)h(cop)o(y)f(in)o(to)h(the)f
(RMA)g(cop)o(y)g(when)h(the)f(priv)m(ate)h(ep)q(o)q(c)o(h)75
2421 y(ends.)f(There)13 b(is)h(one)f(di\016cult)o(y:)20 b(a)13
b(call)h(to)e Fo(MPI)p 911 2421 V 16 w(BARRIER)j Fu(can)e(signify)h(either)g
(the)f(b)q(eginning)i(or)e(the)75 2478 y(end)j(of)f(a)h(priv)m(ate)g(ep)q(o)q
(c)o(h.)21 b(In)c(order)e(to)g(distinguish)i(b)q(et)o(w)o(een)f(the)g(t)o(w)o
(o,)e(one)h(ma)o(y)g(main)o(tain)h(a)f Fp(dirty)75 2534 y(bit)j
Fu(that)g(is)h(set)g(when)g(the)f(windo)o(w)h(is)g(up)q(dated)h(b)o(y)e(a)g
(put)h(or)f(accum)o(ulate)h(call,)h(and)f(reset)f(when)75 2591
y Fo(MPI)p 160 2591 V 16 w(BARRIER)h Fu(is)f(called.)30 b(A)17
b(call)i(to)e Fo(MPI)p 862 2591 V 16 w(BARRIER)i Fu(is)g(assumed)f(to)f
(complete)h(an)g(RMA)g(ep)q(o)q(c)o(h)75 2647 y(if)f(the)f(bit)h(is)f(set,)g
(a)g(priv)m(ate)h(ep)q(o)q(c)o(h,)g(otherwise.)23 b(It)16 b(is)h(not)e
(necessary)i(to)e(cop)o(y)h(the)g(en)o(tire)h(windo)o(w:)75
2704 y(only)f(lo)q(cations)g(that)e(ha)o(v)o(e)h(b)q(een)h(up)q(dated)g(need)
g(b)q(e)g(copied.)1967 46 y Fj(1)1967 103 y(2)1967 159 y(3)1967
215 y(4)1967 272 y(5)1967 328 y(6)1967 385 y(7)1967 441 y(8)1967
498 y(9)1959 554 y(10)1959 611 y(11)1959 667 y(12)1959 724
y(13)1959 780 y(14)1959 836 y(15)1959 893 y(16)1959 949 y(17)1959
1006 y(18)1959 1062 y(19)1959 1119 y(20)1959 1175 y(21)1959
1232 y(22)1959 1288 y(23)1959 1345 y(24)1959 1401 y(25)1959
1457 y(26)1959 1514 y(27)1959 1570 y(28)1959 1627 y(29)1959
1683 y(30)1959 1740 y(31)1959 1796 y(32)1959 1853 y(33)1959
1909 y(34)1959 1966 y(35)1959 2022 y(36)1959 2078 y(37)1959
2135 y(38)1959 2191 y(39)1959 2248 y(40)1959 2304 y(41)1959
2361 y(42)1959 2417 y(43)1959 2474 y(44)1959 2530 y(45)1959
2587 y(46)1959 2643 y(47)1959 2699 y(48)p eop
%%Page: 21 21
bop 75 -100 a Fl(1.5.)34 b(SEMANTICS)16 b(AND)f(CORRECTNESS)896
b Fu(21)75 4 y
28417720 14208860 0 0 42692362 21707980 startTexFig
75 4 a
%%BeginDocument: newindow.eps
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {} def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def
end
save
-90.0 425.0 translate
1 -1 scale
/clp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/l {lineto} bind def
/m {moveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
4 -2 roll mul srgb} bind def
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def
$F2psBegin
10 setmiterlimit
0.06000 0.06000 sc
7.500 slw
n 6000 5100 m 7200 5100 l 7200 5400 l 6000 5400 l clp gs col-1 s gr
/Times-Roman findfont 180.00 scalefont setfont
6150 5325 m
gs 1 -1 sc (? ? ? ? ?) col-1 show gr
[1 50.0] 50.000000 setdash
n 8700 4500 m 8700 4200 l 5700 4200 l 5700 4500 l clp gs col-1 s gr [] 0 setdash
30.000 slw
n 6300 3000 m 6600 3900 l gs col-1 s gr
n 6573.91 3513.41 m 6600.00 3900.00 l 6388.92 3575.08 l gs col-1 s gr
7.500 slw
n 6000 4200 m 7200 4200 l 7200 4500 l 6000 4500 l clp gs col7 0.50 shd ef gr gs col-1 s gr
[1 50.0] 50.000000 setdash
n 8700 5400 m 8700 5100 l 5700 5100 l 5700 5400 l clp gs col-1 s gr [] 0 setdash
15.000 slw
[50.0] 0 setdash
n 6600 4575 m 6600 5025 l gs col-1 s gr [] 0 setdash
7.500 slw
n 6630.00 4905.00 m 6600.00 5025.00 l 6570.00 4905.00 l gs col-1 s gr
/Times-Bold findfont 240.00 scalefont setfont
6075 2775 m
gs 1 -1 sc (PUT) col-1 show gr
n 9600 4200 m 10800 4200 l 10800 4500 l 9600 4500 l clp gs col-1 s gr
/Times-Roman findfont 180.00 scalefont setfont
9750 4425 m
gs 1 -1 sc (? ? ? ? ?) col-1 show gr
n 9600 5100 m 10800 5100 l 10800 5400 l 9600 5400 l clp gs col7 0.50 shd ef gr gs col-1 s gr
[1 50.0] 50.000000 setdash
n 12300 5400 m 12300 5100 l 9300 5100 l 9300 5400 l clp gs col-1 s gr [] 0 setdash
[1 50.0] 50.000000 setdash
n 12300 4500 m 12300 4200 l 9300 4200 l 9300 4500 l clp gs col-1 s gr [] 0 setdash
30.000 slw
n 9900 6600 m 10200 5700 l gs col-1 s gr
n 9988.92 6024.92 m 10200.00 5700.00 l 10173.91 6086.59 l gs col-1 s gr
15.000 slw
[50.0] 0 setdash
n 10200 5025 m 10200 4575 l gs col-1 s gr [] 0 setdash
7.500 slw
n 10170.00 4695.00 m 10200.00 4575.00 l 10230.00 4695.00 l gs col-1 s gr
/Times-Bold findfont 240.00 scalefont setfont
9525 6975 m
gs 1 -1 sc (STORE) col-1 show gr
30.000 slw
n 1800 3000 m 2100 3900 l gs col-1 s gr
n 2073.91 3513.41 m 2100.00 3900.00 l 1888.92 3575.08 l gs col-1 s gr
n 4200 3900 m 4500 3000 l gs col-1 s gr
n 4288.92 3324.92 m 4500.00 3000.00 l 4473.91 3386.59 l gs col-1 s gr
n 1800 6600 m 2100 5700 l gs col-1 s gr
n 1888.92 6024.92 m 2100.00 5700.00 l 2073.91 6086.59 l gs col-1 s gr
n 4200 5700 m 4500 6600 l gs col-1 s gr
n 4473.91 6213.41 m 4500.00 6600.00 l 4288.92 6275.08 l gs col-1 s gr
7.500 slw
[1 50.0] 50.000000 setdash
n 4800 4500 m 4800 4200 l 1800 4200 l 1800 4500 l clp gs col-1 s gr [] 0 setdash
[1 50.0] 50.000000 setdash
n 4800 5400 m 4800 5100 l 1800 5100 l 1800 5400 l clp gs col-1 s gr [] 0 setdash
/Times-Bold findfont 240.00 scalefont setfont
1500 2775 m
gs 1 -1 sc (PUT) col-1 show gr
/Times-Bold findfont 240.00 scalefont setfont
4275 2775 m
gs 1 -1 sc (GET) col-1 show gr
/Times-Bold findfont 240.00 scalefont setfont
1500 7050 m
gs 1 -1 sc (STORE) col-1 show gr
/Times-Bold findfont 240.00 scalefont setfont
4200 7050 m
gs 1 -1 sc (LOAD) col-1 show gr
/Times-Bold findfont 240.00 scalefont setfont
2625 5325 m
gs 1 -1 sc (private copy) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
2700 1800 m
gs 1 -1 sc (Window) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
6225 1800 m
gs 1 -1 sc (RMA Update) col-1 show gr
/Times-Bold findfont 270.00 scalefont setfont
9900 1800 m
gs 1 -1 sc (Local Update) col-1 show gr
/Times-Bold findfont 240.00 scalefont setfont
2550 4425 m
gs 1 -1 sc (RMA copy) col-1 show gr
$F2psEnd
restore
%%EndDocument
75 4 a
endTexFig
533 1002 a Fu(Figure)15 b(1.3:)k(Sc)o(hematic)d(description)g(of)f(windo)o(w)
75 1139 y Fo(A)o(tomicit)o(y)75 1225 y Fu(The)h(atomicit)o(y)g(of)g(accum)o
(ulate)g(up)q(date)h(can)f(b)q(e)h(guaran)o(teed)f(b)o(y)g(using)h(an)f(in)o
(ternal)h(windo)o(w)f(lo)q(c)o(k.)75 1281 y(Since)j(puts)f(and)g(gets)f
(cannot)h(con\015ict)h(with)f(accum)o(ulates,)g(there)g(is)h(no)e(need)i(to)e
(c)o(hec)o(k)h(this)g(lo)q(c)o(k)75 1338 y(for)g(regular)h(put)g(and)g(get)g
(accesses.)31 b(Finer)19 b(lo)q(c)o(king)h(is)g(p)q(ossible,)h(with)e(a)g
(more)f(complex)i(lo)q(c)o(king)75 1394 y(proto)q(col.)75 1514
y Fo(Granula)o(rit)o(y)75 1600 y Fu(Supp)q(ose)15 b(that)e(RMA)h(accesses)g
(are)f(restricted)i(to)e(aligned)i(w)o(ords,)e(and)h(up)q(dates)g(of)g
(smaller)g(en)o(tities)75 1657 y(require)20 b(a)f(load-mo)q(dify-store)h
(cycle.)33 b(Then,)21 b(correct)d(b)q(eha)o(vior)i(can)g(b)q(e)g(ac)o(hiev)o
(ed)g(b)o(y)f(protecting)75 1713 y(partial)12 b(w)o(ord)e(accesses)i(with)f
(an)g(in)o(ternal)h(windo)o(w)g(lo)q(c)o(k)f(\(can)g(b)q(e)h(the)g(same)f(as)
f(for)h(accum)o(ulate\).)19 b(F)l(ull)75 1769 y(w)o(ord)c(accesses)g(need)h
(not)f(b)q(e)h(lo)q(c)o(k)g(protected.)k(Finer)c(lo)q(c)o(k)f(gran)o(ularit)o
(y)g(\(and)g(higher)h(concurrency\))75 1826 y(is)g(p)q(ossible)i(b)o(y)e
(using)g(di\013eren)o(t)h(lo)q(c)o(ks)f(for)f(di\013eren)o(t)h(parts)f(of)h
(the)g(windo)o(w.)22 b(A)16 b(shared)g(lo)q(c)o(k)g(can)g(b)q(e)75
1882 y(used)g(for)e(gets,)h(and)g(an)g(exclusiv)o(e)i(lo)q(c)o(k)f(for)e
(puts.)166 1939 y(Indeed,)19 b(con\015icting)g(accesses)f(can)f(only)h(b)q(e)
g(due)g(to)f Fp(false)g(sharing)p Fu(,)g(i.e.)27 b(concurren)o(t)18
b(accesses)75 1995 y(to)h(di\013eren)o(t)h(parts)f(of)h(the)g(same)f(w)o
(ord.)34 b(This,)21 b(b)q(ecause)g(RMA)f(accesses)g(cannot)f(b)q(e)i
(concurren)o(t)75 2052 y(with)14 b(lo)q(cal)g(accesses,)f(and)h(\(truely\))f
(con\015icting)h(RMA)g(accesses)f(cannot)g(b)q(e)h(concurren)o(t.)19
b(Th)o(us,)13 b(t)o(w)o(o)75 2108 y(con\015icting)20 b(accesses)g(m)o(ust)e
(b)q(e)i(partial)f(w)o(ord)f(accesses,)i(and)f(there)g(comp)q(ete)h(for)e
(the)h(same)g(lo)q(c)o(k.)75 2165 y(P)o(artial)g(w)o(ord)f(accum)o(ulates)i
(are)e(also)h(protected)g(b)o(y)g(that)g(lo)q(c)o(k)g(\(this)g(is)h(the)f
(case)g(an)o(yho)o(w)f(if)i(the)75 2221 y(same)15 b(lo)q(c)o(k)h(is)f(used)h
(for)f(accum)o(ulates)g(and)h(partial)f(w)o(ord)g(up)q(dates.\))166
2278 y(An)e(additional)g(problem)g(o)q(ccurs)g(if)g(the)f(windo)o(w)h(b)q
(oundaries)g(are)f(not)g(w)o(ord)g(aligned.)20 b(If)13 b(a)f(w)o(ord)75
2334 y(o)o(v)o(erlaps)g(the)g(windo)o(w)h(b)q(oundary)g(than)f(a)g(lo)q(cal)h
(access)g(to)e(the)i(part)f(of)f(the)i(w)o(ord)f(that)f(is)i(outside)g(the)75
2390 y(windo)o(w)j(can)f(b)q(e)i(concurren)o(t)e(with)h(an)g(RMA)f(access)h
(to)f(the)h(part)f(of)g(that)g(w)o(ord)g(that)f(is)i(inside)i(the)75
2447 y(windo)o(w.)h(This)14 b(con\015ict)f(is)g(a)o(v)o(oided)g(if)g(t)o(w)o
(o)f(copies)h(\(lo)q(cal)h(and)f(public\))h(of)f(this)g(w)o(ord)f(are)g(main)
o(tained)75 2503 y({)j(using)h(the)f(windo)o(w)h(cop)o(y)f(proto)q(col)g
(describ)q(ed)i(ab)q(o)o(v)o(e.)166 2560 y(An)j(implemen)o(tation)h(that)d(c)
o(hec)o(ks)i(for)f(out)g(of)g(windo)o(w)h(b)q(oundary)g(accesses)g(will)h
(not)e(su\013er)75 2616 y(additional)e(o)o(v)o(erheads,)d(as)h(long)g(as)g
(the)g(o)o(v)o(erlapping)h(w)o(ord)f(is)g(not)g(up)q(dated.)166
2673 y(W)l(e)20 b(sp)q(ecialize)i(no)o(w)d(this)h(generic)g(algorithm)g(to)f
(sp)q(eci\014c)i(arc)o(hitectures,)g(with)f(noncoheren)o(t)-32
46 y Fj(1)-32 103 y(2)-32 159 y(3)-32 215 y(4)-32 272 y(5)-32
328 y(6)-32 385 y(7)-32 441 y(8)-32 498 y(9)-40 554 y(10)-40
611 y(11)-40 667 y(12)-40 724 y(13)-40 780 y(14)-40 836 y(15)-40
893 y(16)-40 949 y(17)-40 1006 y(18)-40 1062 y(19)-40 1119
y(20)-40 1175 y(21)-40 1232 y(22)-40 1288 y(23)-40 1345 y(24)-40
1401 y(25)-40 1457 y(26)-40 1514 y(27)-40 1570 y(28)-40 1627
y(29)-40 1683 y(30)-40 1740 y(31)-40 1796 y(32)-40 1853 y(33)-40
1909 y(34)-40 1966 y(35)-40 2022 y(36)-40 2078 y(37)-40 2135
y(38)-40 2191 y(39)-40 2248 y(40)-40 2304 y(41)-40 2361 y(42)-40
2417 y(43)-40 2474 y(44)-40 2530 y(45)-40 2587 y(46)-40 2643
y(47)-40 2699 y(48)p eop
%%Page: 22 22
bop 75 -100 a Fu(22)723 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)
l(TIONS)75 49 y Fu(cac)o(hes.)20 b(There)c(are)e(three)i(cases)f(to)f
(consider.)131 143 y(1.)22 b(RMA)16 b(is)g(implemen)o(ted)h(using)g
(non-coheren)o(t)f(shared)g(memory)l(,)f(with)h(write-through)g(nonco-)189
200 y(heren)o(t)i(cac)o(hes.)29 b(Both)18 b(lo)q(cal)h(and)f(remote)g(writes)
g(go)f(directly)j(to)d(memory)l(,)h(but)h(b)q(oth)f(lo)q(cal)189
256 y(and)d(remote)g(reads)g(ma)o(y)f(go)h(to)f(cac)o(he)i(\(Cra)o(y)e(T90,)g
(Cra)o(y)g(T3D?\).)131 350 y(2.)22 b(RMA)11 b(is)g(implemen)o(ted)h(using)g
(non-coheren)o(t)f(shared)g(memory)l(,)g(with)g(write-bac)o(k)g(noncoheren)o
(t)189 406 y(cac)o(hes.)18 b(Both)10 b(lo)q(cal)i(and)f(remote)f(accesses)g
(ma)o(y)g(go)g(to)g(cac)o(he,)h(rather)f(than)g(memory)g(\(Mercury)189
463 y(RA)o(CE)15 b(i860?\).)131 557 y(3.)22 b(RMA)13 b(is)i(implemen)o(ted)g
(using)f(a)f(non-coheren)o(t)h(DMA)f(engine.)21 b(Remote)14
b(accesses)g(go)f(directly)189 613 y(to)19 b(memory)l(,)g(whereas)h(lo)q(cal)
h(accesses)e(\(b)q(oth)h(reads)f(and)h(writes\))f(ma)o(y)g(go)g(to)g(cac)o
(he)g(\(NEC)189 669 y(Cenju-3,)c(Cra)o(y)f(T3D?\).)166 763
y(In)j(all)h(cases,)f(the)g(RMA)h(cop)o(y)e(of)h(the)g(windo)o(w)g(is)h(in)f
(memory)l(,)g(whereas)g(the)g(priv)m(ate)h(cop)o(y)e(of)75
820 y(the)f(windo)o(w)f(consists)h(of)f(the)h(v)m(alues)g(in)h(the)e(lo)q
(cal)i(pro)q(cessor)e(cac)o(he,)h(or)f(the)h(v)m(alues)g(in)h(memory)l(,)e
(for)75 876 y(lo)q(cations)i(that)e(are)h(not)g(cac)o(hed.)166
933 y(Completing)g(an)g(RMA)f(up)q(date)h(is)g(ac)o(hiev)o(ed)h(b)o(y)e
(\015ushing)i(the)f(cac)o(he)g(of)f(the)g(calling)j(pro)q(cessor,)75
989 y(so)g(that)f(the)h(up)q(date)h(b)q(ecomes)g(visible)h(in)f(the)f(RMA)g
(windo)o(w.)26 b(Suc)o(h)18 b(\015ush)f(call)i(will)f(b)q(e)g(executed)75
1046 y(as)j(part)g(of)g(calls)h(to)f Fo(MPI)p 554 1046 14 2
v 15 w(BARRIER,)i(MPI)p 874 1046 V 16 w(RMA)p 989 1046 V 16
w(COMPLETE)f Fu(and)f Fo(MPI)p 1444 1046 V 16 w(RMA)p 1559
1046 V 17 w(UNLOCK)p Fu(.)g(It)g(is)75 1102 y(su\016cien)o(t)16
b(to)e(\015ush)i(dirt)o(y)g(cac)o(he)f(lines)i(that)d(o)o(v)o(erlap)h(the)h
(windo)o(w.)166 1158 y(Cop)o(ying)f(of)g(the)g(priv)m(ate)h(cop)o(y)f(to)g
(the)g(RMA)g(cop)o(y)g(is)h(ac)o(hiev)o(ed)g(b)o(y)f(\015ushing)h(the)g(cac)o
(he)f(of)g(the)75 1215 y(lo)q(cal)h(pro)q(cessor.)k(It)15 b(is)h(su\016cien)o
(t)g(to)e(\015ush)i(dirt)o(y)f(cac)o(he)h(lines)h(that)d(o)o(v)o(erlap)h
(with)h(the)f(windo)o(w.)166 1271 y(Cop)o(ying)h(of)g(the)g(RMA)h(cop)o(y)f
(in)o(to)g(the)h(priv)m(ate)g(cop)o(y)f(is)g(ac)o(hiev)o(ed)i(b)o(y)e(in)o(v)
m(alidating)i(the)f(cac)o(he)75 1328 y(of)f(the)g(lo)q(cal)h(pro)q(cessor.)22
b(It)16 b(is)h(su\016cien)o(t)f(to)g(in)o(v)m(alidate)i(the)e(lines)i(that)d
(o)o(v)o(erlap)h(with)g(the)g(windo)o(w,)75 1384 y(and)j(are)f(dirt)o(y)h(in)
h(the)e(public)j(cop)o(y)l(.)31 b(On)19 b(some)g(systems,)f(\015ush)i(ma)o(y)
e(b)q(e)h(faster)f(than)g(in)o(v)m(alidate.)75 1441 y(Since)f(the)f(lo)q(cal)
i(cop)o(y)d(is)i(clean,)f(all)h(the)f(windo)o(w)h(cac)o(he)f(lines)h(are)f
(clean,)h(and)f(a)f(\015ush)i(call)g(ma)o(y)e(b)q(e)75 1497
y(used,)j(instead)h(of)e(an)g(in)o(v)m(alidate)j(\(assuming)d(that)g(the)h
(cac)o(he)g(con)o(troller)g(is)g(smart)e(enough)i(not)g(to)75
1554 y(write)d(bac)o(k)g(clean)i(cac)o(he)e(lines.\))166 1610
y(Tw)o(o)h(windo)o(w)h(copies)g(ma)o(y)f(also)h(b)q(e)g(used)h(in)f(a)f
(shared)h(memory)f(implemen)o(tation)i(where)f(not)75 1667
y(all)f(pro)q(cesses)g(can)g(access)g(all)g(memory)l(.)21 b(E.g.,)14
b(in)i(the)g(case)f(where)h(a)f(windo)o(w)h(is)g(in)g(pro)q(cess)g(priv)m
(ate)75 1723 y(memory)l(,)22 b(one)f(ma)o(y)f(use)h(an)g(RMA)h(cop)o(y)e
(that)h(is)g(in)h(shared)f(memory)g(and)g(is)g(accessible)i(b)o(y)e(all)75
1779 y(pro)q(cesses)16 b(in)h(the)f(comm)o(unication)g(group.)22
b(Or,)15 b(the)h(RMA)g(cop)o(y)g(could)g(b)q(e)h(in)g(nonpaged)f(memory)l(,)
75 1836 y(that)j(is)i(accessible)h(to)d(DMA,)g(whereas)h(the)g(priv)m(ate)h
(cop)o(y)f(is)g(in)h(pageable)g(memory)l(.)34 b(Then,)21 b(the)75
1892 y(cop)o(ying)13 b(of)g(one)g(cop)o(y)g(to)f(another)h(actually)h
(requires)f(memory)g(to)f(memory)g(cop)o(y)l(,)i(that)e(can)h(b)q(e)h(done)75
1949 y(b)o(y)j(the)g(windo)o(w)g(o)o(wning)g(pro)q(cess.)25
b(F)l(ull)18 b(windo)o(w)f(cop)o(ying)g(can)g(b)q(e)h(a)o(v)o(oided)f(b)o(y)g
(main)o(taining)g(\014ner)75 2005 y(dirt)o(y)d(bits.)19 b(\(Dirt)o(y)13
b(bits)h(for)f(the)h(public)i(cop)o(y)d(are)h(main)o(tained)g(b)o(y)g(trac)o
(king)f(the)h(lo)q(cations)g(accessed)75 2062 y(b)o(y)h(put)h(or)f(accum)o
(ulate)h(calls)g({)g(this)f(can)h(b)q(e)g(part)f(of)g(the)h(co)q(de)g(for)f
(these)g(calls.)22 b(Dirt)o(y)15 b(bits)h(for)f(the)75 2118
y(lo)q(cal)k(cop)o(y)f(are)g(harder)g(to)g(main)o(tain.)29
b(One)19 b(needs)g(to)f(use)g(tec)o(hniques)h(similar)h(to)d(those)h(used)h
(b)o(y)75 2175 y(soft)o(w)o(are)12 b(implemen)o(tations)i(of)f(distributed)i
(shared)f(memory:)19 b(e.g.,)12 b(use)i(page)f(protection)h(to)f(detect)75
2231 y(lo)q(cal)j(up)q(dates)g(at)f(page)g(gran)o(ularit)o(y)l(.)75
2353 y Fe(1.5.2)49 b(Registers)15 b(and)i(Compiler)e(Optimizations)75
2439 y Fu(Another)e(coherence)g(problem)h(exists)f(b)q(et)o(w)o(een)g(v)m
(ariables)h(k)o(ept)e(in)i(registers)e(and)h(the)g(memory)f(v)m(alue)75
2495 y(of)19 b(these)g(v)m(ariables.)32 b(An)20 b(RMA)f(call)h(ma)o(y)e
(access)h(a)g(v)m(ariable)h(in)g(memory)f(\(or)f(cac)o(he\),)h(while)i(the)75
2552 y(up-to-date)12 b(v)m(alue)h(of)f(this)h(v)m(ariable)g(is)g(in)g
(register.)18 b(A)12 b(get)g(will)i(not)e(return)g(the)g(latest)g(v)m
(ariable)h(v)m(alue,)75 2608 y(and)i(a)g(put)h(ma)o(y)e(b)q(e)i(o)o(v)o
(erwritten)e(when)i(the)f(register)g(is)h(stored)f(bac)o(k)g(in)h(memory)l(.)
166 2664 y(The)f(problem)h(is)g(illustrated)g(b)o(y)g(the)f(follo)o(wing)h
(co)q(de:)1967 46 y Fj(1)1967 103 y(2)1967 159 y(3)1967 215
y(4)1967 272 y(5)1967 328 y(6)1967 385 y(7)1967 441 y(8)1967
498 y(9)1959 554 y(10)1959 611 y(11)1959 667 y(12)1959 724
y(13)1959 780 y(14)1959 836 y(15)1959 893 y(16)1959 949 y(17)1959
1006 y(18)1959 1062 y(19)1959 1119 y(20)1959 1175 y(21)1959
1232 y(22)1959 1288 y(23)1959 1345 y(24)1959 1401 y(25)1959
1457 y(26)1959 1514 y(27)1959 1570 y(28)1959 1627 y(29)1959
1683 y(30)1959 1740 y(31)1959 1796 y(32)1959 1853 y(33)1959
1909 y(34)1959 1966 y(35)1959 2022 y(36)1959 2078 y(37)1959
2135 y(38)1959 2191 y(39)1959 2248 y(40)1959 2304 y(41)1959
2361 y(42)1959 2417 y(43)1959 2474 y(44)1959 2530 y(45)1959
2587 y(46)1959 2643 y(47)1959 2699 y(48)p eop
%%Page: 23 23
bop 75 -100 a Fl(1.6.)34 b(A)15 b(F)o(OR)l(TRAN)h(PR)o(OBLEM)g(WITH)f
(REGISTER)i(OPTIMIZA)l(TION)361 b Fu(23)110 49 y(Source)16
b(of)f(Pro)q(cess)g(1)122 b(Source)16 b(of)f(Pro)q(cess)g(2)122
b(Executed)16 b(in)g(Pro)q(cess)f(2)110 114 y(bbbb)i(=)e(777)272
b(bu\013)15 b(=)h(999)296 b(reg)p 1190 114 14 2 v 16 w(A:=999)110
170 y(call)17 b(MPI)p 286 170 V 16 w(PUT\(bbbb)611 b(stop)15
b(appl.)8 b(thread)110 227 y(in)o(to)16 b(bu\013)f(of)g(pro)q(cess)g(2\))580
b(bu\013:=777)15 b(in)h(PUT)f(handler)1126 283 y(con)o(tin)o(ue)h(appl.)8
b(thread)110 340 y(call)17 b(MPI)p 286 340 V 16 w(BARRIER\(...\))32
b(call)17 b(MPI)p 794 340 V 16 w(BARRIER\(...\))618 396 y(ccc)f(=)g(bu\013)
304 b(ccc:=reg)p 1298 396 V 17 w(A)166 499 y(In)18 b(this)f(example,)h(v)m
(ariable)g(bu\013)f(is)h(allo)q(cated)g(in)g(the)f(register)g(reg)p
1380 499 V 16 w(A)g(and)g(therefore)g(ccc)g(will)75 556 y(ha)o(v)o(e)e(the)g
(old)h(v)m(alue)g(of)f(bu\013)g(and)h(not)e(the)i(new)f(v)m(alue)i(777.)166
612 y(This)11 b(problem,)h(whic)o(h)f(also)g(a\017icts)f(in)i(some)e(cases)h
(send/receiv)o(e)g(comm)o(unication,)h(is)f(discussed)75 669
y(more)k(at)f(length)i(in)g(Section)g(1.6.)166 725 y(MPI)k(implemen)o
(tations)i(will)f(a)o(v)o(oid)f(this)h(problem)g(for)e(standard)h(conforming)
h(C)f(programs.)75 782 y(High)13 b(qualit)o(y)h(MPI)f(F)l(ortran)e(implemen)o
(tations)j(will)h(a)o(v)o(oid)d(this)i(problem)f(for)g(standard)f(conforming)
75 838 y(F)l(ortran)i(programs)h(as)g(w)o(ell,)h(without)g(disabling)h
(compiler)g(optimizations.)22 b(Ho)o(w)o(ev)o(er,)14 b(MPI)h(imple-)75
894 y(men)o(tations)h(are)h(not)f(required)i(to)e(a)o(v)o(oid)h(altogether)f
(the)h(register)f(coherence)i(problem,)g(since)g(this)75 951
y(requires)d(compiler)h(supp)q(ort)e(that)g(is)h(not)f(curren)o(tly)h(a)o(v)m
(ailable)h(on)f(most)e(F)l(ortran)g(en)o(vironmen)o(ts.)20
b(In)75 1007 y(order)14 b(to)f(a)o(v)o(oid)g(register)h(coherence)h
(problems,)f(users)g(should)h(restrict)e(their)h(use)h(of)e(RMA)h(windo)o(ws)
75 1064 y(to)h(v)m(ariables)h(stored)f(in)h Fi(COMMON)f Fu(blo)q(c)o(ks,)h
(or)e(to)h(v)m(ariables)i(that)d(w)o(ere)h(declared)i Fi(V)o(OLA)m(TILE)d
Fu(\(while)75 1120 y Fi(V)o(OLA)m(TILE)e Fu(is)h(no)g(a)f(standard)h(F)l
(ortran)f(declaration,)h(it)h(is)f(supp)q(orted)g(b)o(y)g(man)o(y)g(F)l
(ortran)e(compilers\).)75 1177 y(Details,)k(and)h(an)f(additional)h(solution)
g(are)f(discussed)i(in)f(Section)g(1.6)e(on)i(page)f(23.)75
1319 y Fr(1.6)59 b(A)20 b(F)n(o)n(rtran)g(Problem)e(with)h(Register)h
(Optimization)75 1504 y Fh(Discussion:)15 b Fk(This)f(section)h(should)f(b)q
(e)g(included)g(in)o(to)f(MISC)189 1689 y Fp(A)n(dvic)n(e)i(to)i(users.)189
1764 y Fu(MPI)d(pro)o(vides)g(op)q(erations)g(whic)o(h)h(ma)o(y)e(b)q(e)i
(hidden)h(from)d(the)h(user)g(co)q(de)h(and)f(run)h(in)f(parallel)189
1820 y(with)g(it,)h(accessing)g(the)f(same)g(memory)g(as)g(user)g(co)q(de.)20
b(Examples)15 b(include)i(the)d(data)g(transfer)189 1877 y(for)c(an)h
Fo(MPI)p 398 1877 V 16 w(RECV)h Fu(The)f(optimizer)i(of)d(a)h(compiler)i
(will)f(assume)f(that)g(it)g(can)h(recognize)g(p)q(erio)q(ds)189
1933 y(when)j(a)g(cop)o(y)g(of)g(a)f(v)m(ariable)j(can)e(b)q(e)h(k)o(ept)f
(in)h(a)e(register)h(without)g(reloading)h(from)f(or)f(storing)189
1990 y(to)e(memory)l(.)18 b(When)13 b(the)g(user)g(co)q(de)g(is)g(w)o(orking)
f(with)h(a)f(register)h(cop)o(y)f(of)g(some)h(v)m(ariable)g(while)189
2046 y(the)i(hidden)i(op)q(eration)f(reads)f(or)g(writes)g(the)h(memory)f
(cop)o(y)l(,)g(problems)h(o)q(ccur.)k(This)c(section)189 2103
y(discusses)g(register)f(optimization)h(pitfalls.)189 2177
y(When)f(a)f(v)m(ariable)i(is)f(lo)q(cal)h(to)e(a)g(F)l(ortran)f(subroutine)j
(\(i.e.)k(not)14 b(in)h(a)g(COMMON)f(blo)q(c)o(k\),)h(the)189
2234 y(compiler)g(will)i(assume)d(that)g(it)h(cannot)f(b)q(e)h(mo)q(di\014ed)
h(b)o(y)f(a)f(called)i(subroutine)f(unless)h(it)f(is)g(an)189
2290 y(actual)g(argumen)o(t)g(of)h(the)f(call.)23 b(In)16 b(the)g(most)e
(common)i(link)m(age)h(con)o(v)o(en)o(tion,)e(the)h(subroutine)189
2347 y(is)d(exp)q(ected)i(to)d(sa)o(v)o(e)h(and)g(restore)g(certain)h
(registers.)19 b(Th)o(us,)13 b(the)g(optimizer)i(will)g(assume)e(that)189
2403 y(a)k(register)h(whic)o(h)h(held)g(a)e(v)m(alid)j(cop)o(y)d(of)h(suc)o
(h)g(a)g(v)m(ariable)h(b)q(efore)f(the)g(call)h(will)g(still)h(hold)e(a)189
2460 y(v)m(alid)e(cop)o(y)g(on)f(return.)189 2534 y(Normally)22
b(users)g(are)g(not)g(a\017icted)g(with)h(this.)41 b(But)22
b(the)g(user)g(should)h(pa)o(y)f(atten)o(tion)g(to)189 2591
y(this)f(section)g(if)g(in)h(his/her)f(program)e(a)i(bu\013er)f(argumen)o(t)g
(to)g(an)h Fo(MPI)p 1498 2591 V 16 w(SEND)p Fu(,)f Fo(MPI)p
1746 2591 V 16 w(RECV)189 2647 y Fu(etc.)25 b(uses)18 b(a)f(name)g(whic)o(h)h
(hides)g(the)f(actual)h(v)m(ariables)g(in)o(v)o(olv)o(ed.)27
b Fo(MPI)p 1493 2647 V 16 w(BOTTOM)18 b Fu(with)f(an)189 2704
y(MPI)p 281 2704 V 16 w(Datat)o(yp)q(e)i(con)o(taining)i(absolute)g
(addresses)f(is)h(one)f(example.)36 b(Creating)20 b(a)f(datat)o(yp)q(e)-32
46 y Fj(1)-32 103 y(2)-32 159 y(3)-32 215 y(4)-32 272 y(5)-32
328 y(6)-32 385 y(7)-32 441 y(8)-32 498 y(9)-40 554 y(10)-40
611 y(11)-40 667 y(12)-40 724 y(13)-40 780 y(14)-40 836 y(15)-40
893 y(16)-40 949 y(17)-40 1006 y(18)-40 1062 y(19)-40 1119
y(20)-40 1175 y(21)-40 1232 y(22)-40 1288 y(23)-40 1345 y(24)-40
1401 y(25)-40 1457 y(26)-40 1514 y(27)-40 1570 y(28)-40 1627
y(29)-40 1683 y(30)-40 1740 y(31)-40 1796 y(32)-40 1853 y(33)-40
1909 y(34)-40 1966 y(35)-40 2022 y(36)-40 2078 y(37)-40 2135
y(38)-40 2191 y(39)-40 2248 y(40)-40 2304 y(41)-40 2361 y(42)-40
2417 y(43)-40 2474 y(44)-40 2530 y(45)-40 2587 y(46)-40 2643
y(47)-40 2699 y(48)p eop
%%Page: 24 24
bop 75 -100 a Fu(24)723 b Fl(CHAPTER)15 b(1.)35 b(ONE)16 b(SIDED)f(COMMUNICA)
l(TIONS)189 49 y Fu(whic)o(h)f(uses)f(one)g(v)m(ariable)i(as)e(an)g(anc)o
(hor)f(and)i(brings)f(along)h(others)e(b)o(y)h(using)h Fo(MPI)p
1659 49 14 2 v 16 w(ADDRESS)189 106 y Fu(to)h(determine)j(their)f(o\013sets)e
(from)g(the)i(anc)o(hor)f(is)h(another.)22 b(The)17 b(anc)o(hor)f(v)m
(ariable)i(w)o(ould)e(b)q(e)189 162 y(the)g(only)h(one)f(men)o(tioned)h(in)g
(the)g(call.)24 b(Also)16 b(atten)o(tion)g(m)o(ust)g(b)q(e)h(pa)o(y)o(ed)f
(if)h(MPI)f(op)q(erations)189 219 y(are)f(used)g(that)g(run)g(in)h(parallel)h
(with)f(the)f(user's)g(application.)189 293 y(The)g(follo)o(wing)h(example)g
(sho)o(ws,)e(what)h(F)l(ortran)f(compilers)i(are)f(allo)o(w)o(ed)h(to)e(do:)
224 414 y(This)i(source)f(...)663 b(can)15 b(b)q(e)h(compiled)h(as:)224
479 y(call)f(MPI)p 399 479 V 17 w(ADDRESS\(buf,bufaddr,ierr\))189
b(call)16 b(MPI)p 1344 479 V 17 w(ADDRESS\(buf,...\))224 535
y(call)g(MPI)p 399 535 V 17 w(TYPE)p 545 535 V 16 w(STR)o(UCT\(1,1,bufaddr,)
163 b(call)16 b(MPI)p 1344 535 V 17 w(TYPE)p 1490 535 V 16
w(STR)o(UCT\(...\))590 592 y(MPI)p 682 592 V 17 w(REAL,t)o(yp,ierr\))224
648 y(call)g(MPI)p 399 648 V 17 w(TYPE)p 545 648 V 16 w(COMMIT\(t)o(yp\))308
b(call)16 b(MPI)p 1344 648 V 17 w(TYPE)p 1490 648 V 16 w(COMMIT\(...\))224
705 y(v)m(al)p 283 705 V 17 w(old)g(=)g(buf)681 b(register)15
b(=)h(buf)1169 761 y(v)m(al)p 1228 761 V 17 w(old)g(=)f(register)224
818 y(call)h(MPI)p 399 818 V 17 w(RECV\(MPI)p 654 818 V 16
w(BOTTOM,1,t)o(yp,...\))107 b(call)16 b(MPI)p 1344 818 V 17
w(RECV\(MPI)p 1599 818 V 16 w(BOTTOM,...\))224 874 y(v)m(al)p
283 874 V 17 w(new)g(=)f(buf)664 b(v)m(al)p 1228 874 V 17 w(new)16
b(=)f(register)189 995 y(The)j(compiler)g(do)q(es)g(not)g(in)o(v)m(alidate)h
(the)f(register)g(b)q(ecause)g(it)g(cannot)f(see)h(that)f Fo(MPI)p
1746 995 V 16 w(RECV)189 1051 y Fu(c)o(hanges)h(the)g(v)m(alue)i(of)e
Fo(buf)p Fu(.)30 b(The)19 b(access)f(of)g Fo(buf)i Fu(is)f(hidden)h(b)o(y)e
(the)h(use)f(of)g Fo(MPI)p 1659 1051 V 16 w(ADDRESS)189 1108
y Fu(and)d Fo(MPI)p 362 1108 V 16 w(BOTTOM)p Fu(.)189 1182
y(The)g(next)g(example)h(sho)o(ws)f(extreme,)g(but)g(allo)o(w)o(ed)h(p)q
(ossibilities!)-1480 b Fm(>)15 b Fj(\(July\))224 1303 y Fu(Source)424
b(compiled)17 b(as)322 b(or)15 b(compiled)i(as)224 1368 y(call)f(MPI)p
399 1368 V 17 w(IRECV\(buf,..req\))i(call)f(MPI)p 955 1368
V 16 w(IRECV\(buf,..req\))h(call)f(MPI)p 1510 1368 V 16 w(IRECV\(buf,..req\))
779 1424 y(register)e(=)h(buf)278 b(b1)15 b(=)h(buf)224 1481
y(call)g(MPI)p 399 1481 V 17 w(W)-5 b(AIT\(req,..\))104 b(call)17
b(MPI)p 955 1481 V 16 w(W)-5 b(AIT\(req,..\))104 b(call)17
b(MPI)p 1510 1481 V 16 w(W)-5 b(AIT\(req,..\))224 1537 y(b1)15
b(=)h(buf)377 b(b1)15 b(:=)g(register)189 1658 y Fo(MPI)p 274
1658 V 15 w(W)l(AIT)e Fu(or)f(a)g(parallel)i(thread)e(mo)q(di\014es)i
Fo(buf)f Fu(b)q(et)o(w)o(een)g(the)f(in)o(v)o(o)q(cation)h(of)f
Fo(MPI)p 1648 1658 V 16 w(IRECV)h Fu(and)189 1715 y(the)j(\014nish)h(of)f
Fo(MPI)p 528 1715 V 16 w(W)l(AIT)p Fu(.)g(But)g(the)g(compiler)i(cannot)e
(see)g(an)o(y)g(p)q(ossibilit)o(y)i(that)e Fo(buf)h Fu(can)f(b)q(e)189
1771 y(c)o(hanged)g(after)e Fo(MPI)p 557 1771 V 16 w(IRECV)i
Fu(has)g(\014nished.)23 b(And)16 b(therefore)f(it)h(can)g(sc)o(hedule)h(the)f
(load)g(of)f Fo(buf)189 1828 y Fu(earlier)f(than)g(t)o(yp)q(ed)g(in)h(the)f
(source.)20 b(It)13 b(has)h(no)g(reason)f(to)h(a)o(v)o(oid)f(using)i(a)e
(register)h(to)f(hold)i Fo(buf)189 1884 y Fu(across)f(the)h(call)i(to)d
Fo(MPI)p 625 1884 V 16 w(W)l(AIT)p Fu(.)h(It)g(also)g(can)h(reorder)f(the)g
(instructions)h(as)f(in)h(the)f(left)h(case.)189 1959 y(T)l(o)c(prev)o(en)o
(t)h(instruction)h(reordering)g(or)e(the)h(allo)q(cation)h(of)f(a)g(v)m
(ariable)h(or)f(bu\013er)g(in)h(a)e(register,)189 2015 y(there)j(are)g(three)
g(p)q(ossibilities)k(in)d(p)q(ortable)f(F)l(ortran)f(co)q(de:)243
2108 y Fm(\017)23 b Fu(One)d(can)f(put)h(the)g(v)m(ariables)g(and)g
(bu\013ers)f(in)o(to)h(common)f(blo)q(c)o(ks;)j(then)e(they)f(will)i(b)q(e)
289 2164 y(allo)q(cated)d(in)g(the)g(memory)e(while)j(an)o(y)e(library)h
(subroutine)h(\(e.g.)25 b(an)18 b(MPI)f(routine\))g(is)289
2221 y(called)c(pro)o(vided)g(that)e(the)h(compiler)h(cannot)e(analyse)h
(that)f(the)h(library)h(subroutine)g(do)q(es)289 2277 y(not)h(use)i(these)f
(common)g(blo)q(c)o(ks,)h(or)243 2349 y Fm(\017)23 b Fu(one)11
b(can)h(declare)g(them)f(as)g(V)o(OLA)l(TILE,)h(but)g(this)g(is)f(not)g(part)
g(of)g(the)g(standards)g(F)l(ortran)289 2406 y(77)f(and)h(90,)g(and)g(y)o
(our)f(co)q(de)i(will)h(not)d(b)q(e)i(p)q(ortable)f(b)q(ecause)h(there)f(are)
g(compilers)h(without)289 2462 y(V)o(OLA)l(TILE,)k(and)f(normally)h(it)g
(prev)o(en)o(ts)e(an)o(y)h(optimization,)h(or)243 2534 y Fm(\017)23
b Fu(one)14 b(can)g(call)h(a)f(dumm)o(y)g(routine)g(with)g(the)h(v)m(ariable)
g(or)e(bu\013er)h(as)g(an)g(actual)g(argumen)o(t;)289 2591
y(if)22 b(the)h(dumm)o(y)f(routine)h(is)f(not)g(part)g(of)g(the)g
(application)i(then)f(the)f(compiler)i(m)o(ust)289 2647 y(allo)q(cate)16
b(the)f(v)m(ariable)i(or)e(bu\013er)h(in)g(the)f(memory)g(while)i(that)e
(subroutine)h(is)g(executed;)289 2704 y Fo(MPI)p 374 2704 V
15 w(ADDRESS)h Fu(can)e(b)q(e)h(used)g(as)e(dumm)o(y)h(routine.)1967
46 y Fj(1)1967 103 y(2)1967 159 y(3)1967 215 y(4)1967 272 y(5)1967
328 y(6)1967 385 y(7)1967 441 y(8)1967 498 y(9)1959 554 y(10)1959
611 y(11)1959 667 y(12)1959 724 y(13)1959 780 y(14)1959 836
y(15)1959 893 y(16)1959 949 y(17)1959 1006 y(18)1959 1062 y(19)1959
1119 y(20)1959 1175 y(21)1959 1232 y(22)1959 1288 y(23)1959
1345 y(24)1959 1401 y(25)1959 1457 y(26)1959 1514 y(27)1959
1570 y(28)1959 1627 y(29)1959 1683 y(30)1959 1740 y(31)1959
1796 y(32)1959 1853 y(33)1959 1909 y(34)1959 1966 y(35)1959
2022 y(36)1959 2078 y(37)1959 2135 y(38)1959 2191 y(39)1959
2248 y(40)1959 2304 y(41)1959 2361 y(42)1959 2417 y(43)1959
2474 y(44)1959 2530 y(45)1959 2587 y(46)1959 2643 y(47)1959
2699 y(48)p eop
%%Page: 25 25
bop 75 -100 a Fl(1.6.)34 b(A)15 b(F)o(OR)l(TRAN)h(PR)o(OBLEM)g(WITH)f
(REGISTER)i(OPTIMIZA)l(TION)361 b Fu(25)189 49 y(High)13 b(qualit)o(y)g(F)l
(ortran)e(implemen)o(tations)j(ma)o(y)e(pro)o(vide)h(a)f(general)h(solution)h
(to)e(this)h(problem.)189 106 y(Ho)o(w)o(ev)o(er,)h(co)q(de)j(that)e(do)q(es)
i(not)e(use)i(one)f(of)g(the)g(three)g(solutions)g(describ)q(ed)i(ab)q(o)o(v)
o(e)e(ma)o(y)f(not)189 162 y(b)q(e)h(p)q(ortable.)189 237 y(In)h(C,)f
(subroutines)i(whic)o(h)g(mo)q(dify)f(v)m(ariables)h(that)e(are)h(not)f(in)i
(the)f(parameter)f(list)i(will)g(not)189 294 y(cause)e(register)h
(optimization)g(problems.)25 b(This)17 b(is)g(b)q(ecause)g(taking)g(p)q(oin)o
(ters)g(to)f(storage)f(ob-)189 350 y(jects)g(b)o(y)g(using)h(the)f(&)h(op)q
(erator)e(and)h(later)h(referencing)g(the)f(ob)s(jects)g(b)o(y)g(w)o(a)o(y)f
(of)h(the)g(p)q(oin)o(ter)189 407 y(is)i(an)g(in)o(tegral)g(part)f(of)g(the)h
(language.)25 b(A)17 b(C)g(compiler)h(understands)f(the)g(implications,)i
(but)189 463 y(with)c(aggressiv)o(e)g(optimization)h(compilers)g(can)g(p)q
(ossibly)h(generate)e(incorrect)g(co)q(de.)189 538 y(\()p Fp(End)g(of)i
(advic)n(e)f(to)g(users.)p Fu(\))p 75 645 827 2 v 75 701 a(The)f(follo)o
(wing)h(advice)h(m)o(ust)d(b)q(e)i(added)g(in)75 769 y(-)f(MPI)g(2,)g(c)o
(hapter)g(?.?)21 b(Handlers,)75 826 y(-)15 b Fo(MPI)p 190 826
14 2 v 16 w(ADDRESS)h Fu(\(MPI)f(1.1,)f(page)h(70,)f(line)j(16\),)d(and)h(in)
75 882 y(-)g Fo(MPI)p 190 882 V 16 w(IRECV)h Fu(\(MPI)f(1.1,)e(\\Non)o(blo)q
(c)o(king)k(comm)o(unication",)e(end)h(of)e(page)h(40\))189
988 y Fp(A)n(dvic)n(e)i(to)i(users.)53 b Fu(T)l(o)17 b(prev)o(en)o(t)g
(troubles)h(with)g(the)f(register)g(optimization)i(of)e(the)g(F)l(ortran)189
1045 y(compilers)i(please)g(pa)o(y)e(atten)o(tion)h(to)f(the)h(hin)o(ts)g(in)
h(section)g(1.6)e(\\A)g(F)l(ortran)g(Problem)i(with)189 1101
y(register)c(optimization")h(on)f(page)g(23.)k(\()p Fp(End)d(of)g(advic)n(e)g
(to)h(users.)p Fu(\))-32 46 y Fj(1)-32 103 y(2)-32 159 y(3)-32
215 y(4)-32 272 y(5)-32 328 y(6)-32 385 y(7)-32 441 y(8)-32
498 y(9)-40 554 y(10)-40 611 y(11)-40 667 y(12)-40 724 y(13)-40
780 y(14)-40 836 y(15)-40 893 y(16)-40 949 y(17)-40 1006 y(18)-40
1062 y(19)-40 1119 y(20)-40 1175 y(21)-40 1232 y(22)-40 1288
y(23)-40 1345 y(24)-40 1401 y(25)-40 1457 y(26)-40 1514 y(27)-40
1570 y(28)-40 1627 y(29)-40 1683 y(30)-40 1740 y(31)-40 1796
y(32)-40 1853 y(33)-40 1909 y(34)-40 1966 y(35)-40 2022 y(36)-40
2078 y(37)-40 2135 y(38)-40 2191 y(39)-40 2248 y(40)-40 2304
y(41)-40 2361 y(42)-40 2417 y(43)-40 2474 y(44)-40 2530 y(45)-40
2587 y(46)-40 2643 y(47)-40 2699 y(48)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF