From: Sébastien Miquée Date: Mon, 13 Dec 2010 10:39:21 +0000 (+0100) Subject: Adding the repository for GPC'2011 conference. X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/interreg4.git/commitdiff_plain/HEAD?ds=inline;hp=013c93d104bec94042ad7c3675d0810f7013084c Adding the repository for GPC'2011 conference. --- diff --git a/gpc2011/biblio.bib b/gpc2011/biblio.bib new file mode 100644 index 0000000..3fc3e74 --- /dev/null +++ b/gpc2011/biblio.bib @@ -0,0 +1,390 @@ +@Article{OW85, + author = {D. P. O'Leary and R. E. White}, + title = {Multi-splittings of matrices and parallel solution of linear systems}, + journal = {Journal on Algebraic and Discrete Mathematic}, + year = {1985}, + volume = {6}, + pages = {630-640}, +} + +@ARTICLE{Frommer1989, + author = {A. Frommer}, + year = 1989, + title = {Parallel Nonlinear Multisplitting Methods}, + journal = {Numerische Mathematik}, + volume = 56, + pages = {269-282} +} + + + + + +@Article{VBH96, + author = {J.G. Verwer, J.G. Blom and W. Hundsdorfer}, + title = {An implicit-explicit approach for atmospheric transport-chemistry problems}, + journal = {Applied Numerical Mathematics: Transactions of IMACS}, + pages = {191-209}, + year = {1996}, + editor = {}, + volume = {20}, + number = {1-2}, +} + +@book{Bertsekas89, + author = {D. P. Bertsekas and J. N. Tsitsiklis}, + title = {Parallel and Distributed Computation: Numerical + Methods}, + year = {1989}, + publisher = {Prentice Hall}, + address = {Englewood Cliffs NJ}, + pages = {715}, + +} + + +@Article{dfv83, + author = {E. W. Dijkstra and W. H. J. Feijen and A. J. M. VanGasteren}, + title = {Derivation of a termination detection algorithm for distributed computations}, + journal = {Information Processing Letters}, + year = {1983}, + OPTkey = {}, + volume = {16}, + number = {5}, + pages = {217-219}, + OPTmonth = {}, + OPTnote = {}, + OPTannote = {} +} + +@Article{SuperCo05, + author = {Bahi, J.M. and Contassot-Vivier, S. and Couturier, R.}, + title = {Performance comparison of parallel programming environments for implementing {AIAC} algorithms}, + journal = {Journal of Supercomputing. Special Issue on Performance Modelling and Evaluation of Parallel and Distributed Systems}, + year = {2006}, + volume = {35}, + number = {3}, + pages = {227-244}, +} + + +@PhdThesis{pv2006, + author = {Philippe Vuillemin}, + title = {Calcul itératif asynchrone sur infrastructure pair-à-pair : la plate-forme JaceP2P}, + school = {Université de Franche-Comté}, + year = {2006}, + OPTkey = {}, + OPTtype = {}, + OPTaddress = {}, + OPTmonth = {}, + OPTnote = {}, + OPTannote = {} +} + +@Book{bookbcc, + author = {J. M. Bahi and S. Contassot-Vivier and R. Couturier}, + title = {Parallel Iterative Algorithms; From Sequential to Grid Computing}, + publisher = {Chapman and Hall/CRC}, + year = {2007}, +} + + + +@Article{cfhl:00, + author = {B. Carpenter and G. Fox and S. H. Ko and S. Lim}, + title = {Object serialization for marshaling data in a Java interface to MPI}, + journal = {Concurrency: Practice and Experience}, + year = {2000}, + OPTkey = {}, + volume = {12}, + number = {18}, + pages = {539-553}, + OPTmonth = {}, + OPTnote = {}, + OPTannote = {} +} + +@InProceedings{bdm06:ip, + AUTHOR = {J. M. Bahi and S. Domas and K. Mazouzi}, + TITLE = {More on JACE: New functionalities, New experiments}, + YEAR = {2006}, + MONTH = {April}, + BOOKTITLE = {IPDPS 2006}, + PAGES = {231--239}, + PUBLISHER = {IEEE Computer Society Press} +} + +@InProceedings{bclm07, + AUTHOR = {J. M. Bahi and R. Couturier and D. Laiymani and K. Mazouzi}, + TITLE ={Java and asynchronous iterative applications: large scale experiments}, + YEAR = {2007}, + MONTH = {March}, + BOOKTITLE = {IPDPS 2007}, + PAGES = {195--203}, + PUBLISHER = {IEEE Computer Society Press} +} + +@InProceedings{bcl08, + AUTHOR = {J. M. Bahi and R. Couturier and D. Laiymani}, + TITLE ={Comparison of Conjugate Gradient and Multisplitting algorithms of NAS benchmark with the Jace environment}, + YEAR = {2008}, + MONTH = {April}, + BOOKTITLE = {IPDPS 2008}, + PUBLISHER = {IEEE Computer Society Press} +} + +@ARTICLE{FM92, + author = {A. Frommer and G. Mayer}, + year = 1992, + title = {On the Theory and Practice of Multisplitting Mehods in Parallel + Computation}, + journal = {Computing}, + volume = 49, + pages = {63-74} +} + +@ARTICLE{FM89, + author = {A. Frommer and G. Mayer}, + year = 1989, + title = {Convergence of Relaxed Parallel Multisplitting Methods}, + journal = {Linear Algebra Appl.}, + volume = 119, + pages = {141-152} +} +@Manual{nio, + title = {New I/O API}, + note = {http://java.sun.com/j2se/1.4.2/ + docs/guide/nio} +} + +@article{ptree, + author = {A. V. Gerbessiotis}, + title = {Architecture independent parallel binomial tree option price + valuations.}, + journal = {Parallel Computing}, + volume = {30}, + number = {2}, + year = {2004}, + pages = {301-316}, + ee = {http://dx.doi.org/10.1016/j.parco.2003.09.003}, + bibsource = {DBLP, http://dblp.uni-trier.de} + +} + +@InProceedings{zhang05, + author = {Zhang, Y.and Tipparaju, V. and Nieplocha, J. and Hariri, S.}, + title = {Parallelization of the NAS Conjugate Gradient benchmark using the global arrays shared memory programming model}, + booktitle = {Proc. of 19th International Parallel and Distributed Processing Symposium}, + year = {2005}, + month = {April}, + publisher = {IEEE Computer Society Press}, +} + +@TechReport{NPB2002, + author = {R.F. Van der Wijngaart}, + title = {NAS Parallel Benchmarks Version 2.4}, + institution = {NASA Advanced Supercomputing Division}, + year = {2002}, +} + +@manual{MTJ, + title = {{MTJ : Matrix Toolkit for Java.}}, + note = {http://mtj.dev.java.net/} +} + + +@ARTICLE{NieuwpoortSCPE05, + author = {R. V. van Nieuwpoort and J. Maassen and T. Kielmann and H. E. Bal}, + title = {Satin: Simple and Efficient {J}ava-based Grid Programming}, + journal = {Scalable Computing: Practice and Experience}, + volume = 6, + number = 3, + pages = {19-32}, + month = {September}, + year = {2005}, +} + + + +@Manual{npb, + title = {NAS Parallel Benchmarks}, + note = {Available on-line from: http://science.nas.nasa.gov/Software/NPB} +} + +@Manual{grid5000, + title = {Grid'5000}, + note = {http://www.grid5000.fr} +} + +@Manual{vd2006, + author = {A. Van Der Stee and J. Dongara}, + title = {Overview of recent supercomputers}, + note = {http://www.top500.org/orsc/2006}, +} + + + +@Book{par99, + author = {B. Parhami}, + title = {Introduction to parallel processing: algorithms and architectures}, + publisher = {Springer}, + year = {1999}, + series = {Plenum Series in Computer Science}, +} + +@InProceedings{pugh03mpjava, +Author = {B. Pugh and J. Spaccol}, +title = {{MPJava: High Performance Message Passing in Java using Java.nio}}, +booktitle = {Proceedings of the Workshop on Languages and Compilers for Parallel Computing}, +month = oct, +year = 2003, +address = {College Station, Texas, USA} +} + +@ARTICLE{JS96, + author = {M. Jones and D. B. Szyld}, + year = 1996, + title = {Two-Stage Multisplitting Methods with Overlapping Blocks}, + journal = {Numer. Linear Algebra Appl.}, + volume = 3, + pages = {113-124} +} + + @InProceedings{huet04high, +author = {F. Huet and D. Caromel and H. E. Bal}, +title = {{A High Performance Java Middleware with a Real Application}}, +booktitle = {Proceedings of the Supercomputing Conference}, +month = nov, +year = 2004, +address = {Pittsburgh, Pensylvania, USA} +} + +@article{bcvc06:ij, +author = {Bahi, J. M. and Contassot-Vivier, S. and Couturier, R.}, +title = {Performance comparison of parallel programming environments for implementing {AIAC} algorithms}, +journal = {Journal of Supercomputing}, +pages = {227--244}, +volume = 35, +number = 3, +year = 2006, + +} + + +@ARTICLE{BMR97, + author = {J. Bahi and J.-C. Miellou and K. Rhofir}, + year = 1997, + title = {Asynchronous Multisplitting Methods for Nonlinear Fixed Point + Problems}, + journal = {Numerical Algorithms}, + volume = 15, + pages = {315-345} +} + + +@ARTICLE{FS97, + author = {A. Frommer and H. Schwandt}, + year = 1997, + title = {A Unified Representation and Theory of Algebraic Additive {S}chwarz + and Multisplitting Methods}, + journal = {SIAM Journal on Matrix Analysis and Applications}, + volume = 18 +} + +@ARTICLE{AMP1999, + author = {J. Arnal and V. Migallon and J. Penad{\`e}s}, + year = 1999, + title = {Non-Stationary Parallel {N}ewton Iterative Methods for Nonlinear + Problems}, + journal = {Lecture Notes in Comput. Sci.}, + volume = 1573, + pages = {142-155} +} + +@Book{Gro94, + author = "W. Gropp and E. Lusk and A. Skjellum", + title = "Using MPI : portable parallel programming with the + message passing interface", + publisher = "MIT Press", + year = "1994", +} + +@manual{MTJ, + title = {{MTJ : Matrix Toolkit for Java.}}, + note = {http://ressim.berlios.de/} +} + + + + + +@article{Neurad, + author = {Bahi,J. M. and Contassot-Vivier,S. and Makovicka,L. and Martin,E. and Sauget,M.}, + title = {{N}eurad}, + journal = {Agence pour la Protection des Programmes. No:~IDDN.FR.001.130035.000.S.P.2006.000.10000}, + year = 2006 +} + +@article{AES2009, + author = {Bahi,J. M. and Contassot-Vivier,S. and Sauget,M.}, + title = {An Incremental Learning Algorithm for Functional Approximation}, + journal = {Advances in Engineering Software}, + year = {2009}, + optkey = {}, + volume = {40}, + number = {8}, + pages = {725-730}, + optmonth = {}, + note = {doi:10.1016/j.advengsoft.2008.12.018}, + optannote = {} +} + +@article{ RADIO09, + author = "Makovicka, L. and Vasseur, A. and Sauget, M. and Martin, E. and Gschwind, R. and Henriet, J. and Salomon, M.", + title = "Avenir des nouveaux concepts des calculs dosim\'etriques bas\'es sur les m\'ethodes +de {M}onte {C}arlo", + DOI= "10.1051/radiopro/2008055", + url= "http://dx.doi.org/10.1051/radiopro/2008055", + journal = "Radioprotection", + year = 2009, + volume = 44, + number = 1, + pages = "77-88", + month = "jan", +} + +@article{NIMB2008, + author = {Vasseur,A. and Makovicka,L. and Martin,E. and Sauget,M. and Contassot-Vivier,S. and Bahi,J. M.}, + title = {Dose calculations using artificial neural networks: a feasibility study for photon beams}, + journal = {Nucl. Instr. and Meth. in Phys. Res. B}, + year = {2008}, + volume = {266}, + number = {7}, + pages = {1085-1093} +} + + +@inproceedings{ICANN10, + editor = {Konstantinos Diamantaras and Wlodek Duch and Lazaros +S. Iliadis}, + booktitle = {Artificial Neural Networks -- ICANN 2010}, + publisher = {Springer}, + location = {Heidelberg}, + series = {Lecture Notes in Computer Science}, + volume = 6352, + year = 2010, + isbn = {978-3-642-15818-6}, + author = {M. Sauget and R. Laurent and J. Henriet +and M. Salomon and R. Gschwind and S. Contassot-Vivier and L. Makovicka and C. Soussen}, + title = {Efficient Domain Decomposition for a Neural Network +Learning Algorithm, Used for the Dose Evaluation in External +Radiotherapy}, + pages = {261--266} +} + + +@Misc{BEAM, + author = {BEAM-nrc}, + title = {{NRC} of {C}anada}, + howpublished = { \\ {\tt http://www.irs.inms.nrc.ca/BEAM/beamhome.html}} +} diff --git a/gpc2011/figures/eau_02_to_24.pdf b/gpc2011/figures/eau_02_to_24.pdf new file mode 100644 index 0000000..851d5f0 Binary files /dev/null and b/gpc2011/figures/eau_02_to_24.pdf differ diff --git a/gpc2011/figures/eau_24_2.pdf b/gpc2011/figures/eau_24_2.pdf new file mode 100644 index 0000000..4627ae1 Binary files /dev/null and b/gpc2011/figures/eau_24_2.pdf differ diff --git a/gpc2011/figures/grid5000.pdf b/gpc2011/figures/grid5000.pdf new file mode 100644 index 0000000..0bf8d98 Binary files /dev/null and b/gpc2011/figures/grid5000.pdf differ diff --git a/gpc2011/figures/neurad_gridif.eps b/gpc2011/figures/neurad_gridif.eps new file mode 100644 index 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def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + gsave 1 setgray fill grestore clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> matrix makepattern +/Pat1 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke + 0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke} +>> matrix makepattern +/Pat2 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L + 8 8 L 8 0 L 0 0 L fill} +>> matrix makepattern +/Pat3 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L + 0 12 M 12 0 L stroke} +>> matrix makepattern +/Pat4 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L + 0 -4 M 12 8 L stroke} +>> matrix makepattern +/Pat5 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L + 0 12 M 8 -4 L 4 12 M 10 0 L stroke} +>> matrix makepattern +/Pat6 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L + 0 -4 M 8 12 L 4 -4 M 10 8 L stroke} +>> matrix makepattern +/Pat7 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L + 12 0 M -4 8 L 12 4 M 0 10 L stroke} +>> matrix makepattern +/Pat8 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L + -4 0 M 12 8 L -4 4 M 8 10 L stroke} +>> matrix makepattern +/Pat9 exch def +/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def +/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def +/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def +/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def +/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def +/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def +/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def +} def +% +% +%End of PostScript Level 2 code +% +/PatternBgnd { + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse +} def +% +% Substitute for Level 2 pattern fill codes with +% grayscale if Level 2 support is not selected. +% +/Level1PatternFill { +/Pattern1 {0.250 Density} bind def +/Pattern2 {0.500 Density} bind def +/Pattern3 {0.750 Density} bind def +/Pattern4 {0.125 Density} bind def +/Pattern5 {0.375 Density} bind def +/Pattern6 {0.625 Density} bind def +/Pattern7 {0.875 Density} bind def +} def +% +% Now test for support of Level 2 code +% +Level1 {Level1PatternFill} {Level2PatternFill} ifelse +% +/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont +dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall +currentdict end definefont pop +/MFshow { + { dup 5 get 3 ge + { 5 get 3 eq {gsave} {grestore} ifelse } + {dup dup 0 get findfont exch 1 get scalefont setfont + [ currentpoint ] exch dup 2 get 0 exch R dup 5 get 2 ne {dup dup 6 + get exch 4 get {Gshow} {stringwidth pop 0 R} ifelse }if dup 5 get 0 eq + {dup 3 get {2 get neg 0 exch R pop} {pop aload pop M} ifelse} {dup 5 + get 1 eq {dup 2 get exch dup 3 get exch 6 get stringwidth pop -2 div + dup 0 R} {dup 6 get stringwidth pop -2 div 0 R 6 get + show 2 index {aload pop M neg 3 -1 roll neg R pop pop} {pop pop pop + pop aload pop M} ifelse }ifelse }ifelse } + ifelse } + forall} def +/Gswidth {dup type /stringtype eq {stringwidth} {pop (n) stringwidth} ifelse} def +/MFwidth {0 exch { dup 5 get 3 ge { 5 get 3 eq { 0 } { pop } ifelse } + {dup 3 get{dup dup 0 get findfont exch 1 get scalefont setfont + 6 get Gswidth pop add} {pop} ifelse} ifelse} forall} def +/MLshow { currentpoint stroke M + 0 exch R + Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def +/MRshow { currentpoint stroke M + exch dup MFwidth neg 3 -1 roll R + Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def +/MCshow { currentpoint stroke M + exch dup MFwidth -2 div 3 -1 roll R + Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def +/XYsave { [( ) 1 2 true false 3 ()] } bind def +/XYrestore { [( ) 1 2 true false 4 ()] } bind def +end +%%EndProlog +gnudict begin +gsave +doclip +50 50 translate +0.050 0.050 scale +0 setgray +newpath +(Helvetica) findfont 140 scalefont setfont +1.000 UL +LTb +1.000 UL +LTb +888 1443 M +2949 562 V +6312 1335 M +3837 2005 L +888 1443 M +0 2402 V +6312 1335 M +-61 16 V +stroke +6393 1298 M +[ [(Helvetica) 140.0 0.0 true true 0 (-1)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +3837 2005 M +61 -17 V +6017 1278 M +-61 17 V +stroke +6098 1242 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.8)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +3543 1949 M +60 -17 V +5722 1222 M +-61 17 V +stroke +5803 1186 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.6)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +3248 1892 M +61 -16 V +5427 1166 M +-61 17 V +stroke +5508 1129 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.4)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +2953 1836 M +61 -16 V +5132 1110 M +-61 16 V +stroke +5213 1073 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.2)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +2658 1780 M +61 -17 V +4837 1054 M +-61 16 V +stroke +4918 1017 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +2363 1724 M +61 -17 V +4542 997 M +-61 17 V +stroke +4623 961 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.2)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +2068 1667 M +61 -16 V +4247 941 M +-61 17 V +stroke +4328 904 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.4)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +1773 1611 M +61 -16 V +3952 885 M +-61 16 V +stroke +4033 848 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.6)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +1478 1555 M +61 -16 V +3657 829 M +-60 16 V +stroke +3738 792 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.8)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +1183 1499 M +61 -17 V +3363 772 M +-61 17 V +stroke +3444 736 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 1)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +888 1443 M +61 -17 V +-61 17 R +49 9 V +stroke +824 1422 M +[ [(Helvetica) 140.0 0.0 true true 0 (-1)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +3837 2005 M +-48 -9 V +1136 1376 M +48 9 V +stroke +1072 1355 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.8)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +4084 1938 M +-48 -9 V +1383 1309 M +49 9 V +stroke +1319 1288 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.6)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +4332 1871 M +-49 -9 V +1631 1241 M +48 10 V +stroke +1567 1221 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.4)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +4579 1804 M +-48 -9 V +1878 1174 M +49 10 V +stroke +1814 1154 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.2)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +4827 1737 M +-49 -9 V +2126 1107 M +48 10 V +stroke +2062 1087 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +5074 1670 M +-48 -9 V +2373 1040 M +49 10 V +stroke +2309 1020 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.2)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +5322 1603 M +-49 -9 V +2621 973 M +48 10 V +stroke +2556 953 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.4)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +5569 1536 M +-48 -9 V +2868 906 M +49 10 V +stroke +2804 886 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.6)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +5817 1469 M +-49 -9 V +3116 839 M +48 10 V +stroke +3051 819 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.8)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +6064 1402 M +-48 -9 V +3363 772 M +48 10 V +stroke +3299 752 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 1)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +6312 1335 M +-49 -9 V +888 2244 M +63 0 V +stroke +762 2244 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.1)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 2444 M +63 0 V +stroke +762 2444 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.2)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 2643 M +63 0 V +stroke +762 2643 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.3)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 2844 M +63 0 V +stroke +762 2844 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.4)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3044 M +63 0 V +stroke +762 3044 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.5)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3244 M +63 0 V +stroke +762 3244 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.6)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3445 M +63 0 V +stroke +762 3445 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.7)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3645 M +63 0 V +stroke +762 3645 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.8)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3845 M +63 0 V +stroke +762 3845 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.9)] +] -46.7 MRshow +1.000 UL +LTb +LCb setrgbcolor +1210 4100 M +[ [(Helvetica) 140.0 0.0 true true 0 (Dose value)] +] -46.7 MCshow +LTb +1.000 UP +% Begin plot #1 +5745 4556 M +[ [(Helvetica) 140.0 0.0 true true 0 (Dose deposit in tissu \(1.0\))] +] -46.7 MRshow +1.000 UL +LT0 +6028 4556 Pnt +3813 2744 Pnt +3745 2734 Pnt +3677 2723 Pnt +3609 2711 Pnt +3541 2700 Pnt +3473 2690 Pnt +3405 2680 Pnt +3337 2669 Pnt +3269 2661 Pnt +3201 2651 Pnt +3132 2671 Pnt +3064 2867 Pnt +2996 2879 Pnt +2928 2878 Pnt +2860 2860 Pnt +2792 2849 Pnt +2724 2822 Pnt +2656 2815 Pnt +2588 2802 Pnt +2520 2776 Pnt +2452 2764 Pnt +2384 2755 Pnt +2316 2744 Pnt +2248 2741 Pnt +2180 2722 Pnt +2112 2712 Pnt +2043 2708 Pnt +1975 2688 Pnt +1907 2645 Pnt +1839 2421 Pnt +1771 2380 Pnt +1703 2361 Pnt +1635 2345 Pnt +1567 2328 Pnt +1499 2314 Pnt +1431 2299 Pnt +1363 2282 Pnt +1295 2268 Pnt +1227 2253 Pnt +1159 2238 Pnt +3819 2747 Pnt +3751 2741 Pnt +3683 2730 Pnt +3614 2720 Pnt 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Pnt +1714 2391 Pnt +1646 2368 Pnt +1578 2350 Pnt +1510 2330 Pnt +1442 2313 Pnt +1374 2292 Pnt +1306 2278 Pnt +1238 2261 Pnt +1170 2246 Pnt +3830 2748 Pnt +3762 2744 Pnt +3694 2734 Pnt +3626 2726 Pnt +3558 2719 Pnt +3489 2710 Pnt +3421 2701 Pnt +3353 2696 Pnt +3285 2699 Pnt +3217 2702 Pnt +3149 2880 Pnt +3081 3567 Pnt +3013 3683 Pnt +2945 3712 Pnt +2877 3686 Pnt +2809 3686 Pnt +2741 3634 Pnt +2673 3630 Pnt +2605 3621 Pnt +2537 3593 Pnt +2469 3570 Pnt +2401 3555 Pnt +2332 3562 Pnt +2264 3563 Pnt +2196 3524 Pnt +2128 3537 Pnt +2060 3539 Pnt +1992 3491 Pnt +1924 3343 Pnt +1856 2623 Pnt +1788 2433 Pnt +1720 2396 Pnt +1652 2373 Pnt +1584 2354 Pnt +1516 2332 Pnt +1448 2315 Pnt +1380 2294 Pnt +1312 2279 Pnt +1244 2262 Pnt +1175 2246 Pnt +3835 2748 Pnt +3767 2744 Pnt +3699 2734 Pnt +3631 2727 Pnt +3563 2719 Pnt +3495 2712 Pnt +3427 2703 Pnt +3359 2699 Pnt +3291 2704 Pnt +3223 2713 Pnt +3155 2935 Pnt +3087 3677 Pnt +3019 3790 Pnt +2951 3848 Pnt +2883 3818 Pnt +2814 3820 Pnt +2746 3768 Pnt +2678 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+3574 2720 Pnt +3506 2712 Pnt +3438 2704 Pnt +3370 2702 Pnt +3302 2712 Pnt +3234 2733 Pnt +3166 3029 Pnt +3098 3825 Pnt +3030 3964 Pnt +2962 4002 Pnt +2894 3990 Pnt +2826 3984 Pnt +2758 3938 Pnt +2690 3934 Pnt +2621 3915 Pnt +2553 3889 Pnt +2485 3862 Pnt +2417 3862 Pnt +2349 3859 Pnt +2281 3858 Pnt +2213 3824 Pnt +2145 3832 Pnt +2077 3827 Pnt +2009 3770 Pnt +1941 3593 Pnt +1873 2775 Pnt +1805 2466 Pnt +1737 2409 Pnt +1669 2378 Pnt +1601 2358 Pnt +1532 2334 Pnt +1464 2316 Pnt +1396 2296 Pnt +1328 2278 Pnt +1260 2261 Pnt +1192 2242 Pnt +3852 2746 Pnt +3784 2740 Pnt +3716 2732 Pnt +3648 2726 Pnt +3580 2720 Pnt +3512 2712 Pnt +3444 2705 Pnt +3376 2704 Pnt +3308 2717 Pnt +3240 2747 Pnt +3172 3071 Pnt +3103 3869 Pnt +3035 4016 Pnt +2967 4056 Pnt +2899 4042 Pnt +2831 4036 Pnt +2763 3998 Pnt +2695 3983 Pnt +2627 3969 Pnt +2559 3936 Pnt +2491 3914 Pnt +2423 3912 Pnt +2355 3913 Pnt +2287 3920 Pnt +2219 3880 Pnt +2151 3893 Pnt +2083 3873 Pnt +2014 3815 Pnt +1946 3646 Pnt +1878 2814 Pnt +1810 2479 Pnt +1742 2412 Pnt +1674 2380 Pnt +1606 2358 Pnt +1538 2335 Pnt +1470 2316 Pnt +1402 2295 Pnt +1334 2277 Pnt +1266 2261 Pnt +1198 2241 Pnt +3858 2745 Pnt +3790 2740 Pnt +3722 2731 Pnt +3654 2725 Pnt +3585 2720 Pnt +3517 2710 Pnt +3449 2705 Pnt +3381 2705 Pnt +3313 2719 Pnt +3245 2757 Pnt +3177 3107 Pnt +3109 3906 Pnt +3041 4060 Pnt +2973 4093 Pnt +2905 4090 Pnt +2837 4085 Pnt +2769 4032 Pnt +2701 4025 Pnt +2633 4018 Pnt +2565 3978 Pnt +2496 3959 Pnt +2428 3948 Pnt +2360 3958 Pnt +2292 3962 Pnt +2224 3929 Pnt +2156 3927 Pnt +2088 3909 Pnt +2020 3854 Pnt +1952 3678 Pnt +1884 2850 Pnt +1816 2486 Pnt +1748 2416 Pnt +1680 2379 Pnt +1612 2357 Pnt +1544 2332 Pnt +1476 2315 Pnt +1408 2293 Pnt +1339 2277 Pnt +1271 2259 Pnt +1203 2240 Pnt +3863 2743 Pnt +3795 2740 Pnt +3727 2729 Pnt +3659 2723 Pnt +3591 2720 Pnt +3523 2711 Pnt +3455 2703 Pnt +3387 2707 Pnt +3319 2719 Pnt +3251 2763 Pnt +3183 3142 Pnt +3115 3931 Pnt +3047 4077 Pnt +2979 4116 Pnt +2910 4109 Pnt +2842 4102 Pnt +2774 4061 Pnt +2706 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Pnt +3054 2110 Pnt +2986 2091 Pnt +2918 2073 Pnt +2850 2037 Pnt +2782 1971 Pnt +2714 1935 Pnt +2646 1914 Pnt +2578 1898 Pnt +2510 1880 Pnt +5169 2384 Pnt +5101 2375 Pnt +5033 2365 Pnt +4965 2361 Pnt +4897 2375 Pnt +4829 2410 Pnt +4761 2421 Pnt +4693 2412 Pnt +4625 2409 Pnt +4557 2399 Pnt +4489 2388 Pnt +4421 2371 Pnt +4353 2363 Pnt +4285 2342 Pnt +4217 2334 Pnt +4149 2321 Pnt +4081 2306 Pnt +4012 2296 Pnt +3944 2284 Pnt +3876 2270 Pnt +3808 2258 Pnt +3740 2243 Pnt +3672 2230 Pnt +3604 2218 Pnt +3536 2210 Pnt +3468 2193 Pnt +3400 2179 Pnt +3332 2166 Pnt +3264 2153 Pnt +3196 2138 Pnt +3128 2125 Pnt +3060 2109 Pnt +2992 2087 Pnt +2924 2069 Pnt +2855 2034 Pnt +2787 1971 Pnt +2719 1933 Pnt +2651 1911 Pnt +2583 1896 Pnt +2515 1878 Pnt +5175 2382 Pnt +5107 2373 Pnt +5039 2364 Pnt +4971 2359 Pnt +4903 2375 Pnt +4835 2408 Pnt +4767 2413 Pnt +4699 2411 Pnt +4631 2406 Pnt +4563 2396 Pnt +4494 2383 Pnt +4426 2371 Pnt +4358 2357 Pnt +4290 2344 Pnt +4222 2336 Pnt +4154 2319 Pnt +4086 2305 Pnt +4018 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Pnt +3082 2095 Pnt +3014 2078 Pnt +2946 2060 Pnt +2878 2027 Pnt +2810 1969 Pnt +2742 1927 Pnt +2674 1904 Pnt +2606 1888 Pnt +2537 1872 Pnt +5197 2376 Pnt +5129 2367 Pnt +5061 2357 Pnt +4993 2353 Pnt +4925 2366 Pnt +4857 2401 Pnt +4789 2406 Pnt +4721 2399 Pnt +4653 2394 Pnt +4585 2385 Pnt +4517 2370 Pnt +4449 2358 Pnt +4381 2347 Pnt +4313 2330 Pnt +4245 2323 Pnt +4177 2309 Pnt +4108 2292 Pnt +4040 2283 Pnt +3972 2271 Pnt +3904 2256 Pnt +3836 2243 Pnt +3768 2231 Pnt +3700 2218 Pnt +3632 2204 Pnt +3564 2194 Pnt +3496 2179 Pnt +3428 2161 Pnt +3360 2154 Pnt +3292 2139 Pnt +3224 2123 Pnt +3156 2111 Pnt +3088 2096 Pnt +3019 2076 Pnt +2951 2058 Pnt +2883 2024 Pnt +2815 1966 Pnt +2747 1925 Pnt +2679 1903 Pnt +2611 1887 Pnt +2543 1870 Pnt +5203 2375 Pnt +5135 2365 Pnt +5067 2356 Pnt +4999 2352 Pnt +4931 2367 Pnt +4863 2400 Pnt +4795 2405 Pnt +4727 2396 Pnt +4659 2391 Pnt +4590 2381 Pnt +4522 2369 Pnt +4454 2355 Pnt +4386 2343 Pnt +4318 2327 Pnt +4250 2321 Pnt +4182 2306 Pnt +4114 2288 Pnt +4046 2279 Pnt +3978 2268 Pnt +3910 2253 Pnt +3842 2240 Pnt +3774 2225 Pnt +3706 2215 Pnt +3638 2201 Pnt +3570 2191 Pnt +3501 2176 Pnt +3433 2161 Pnt +3365 2149 Pnt +3297 2133 Pnt +3229 2121 Pnt +3161 2110 Pnt +3093 2092 Pnt +3025 2074 Pnt +2957 2056 Pnt +2889 2023 Pnt +2821 1964 Pnt +2753 1923 Pnt +2685 1902 Pnt +2617 1885 Pnt +2549 1869 Pnt +5209 2373 Pnt +5141 2364 Pnt +5072 2355 Pnt +5004 2351 Pnt +4936 2365 Pnt +4868 2395 Pnt +4800 2403 Pnt +4732 2396 Pnt +4664 2386 Pnt +4596 2379 Pnt +4528 2364 Pnt +4460 2353 Pnt +4392 2342 Pnt +4324 2327 Pnt +4256 2316 Pnt +4188 2303 Pnt +4120 2285 Pnt +4052 2278 Pnt +3983 2264 Pnt +3915 2250 Pnt +3847 2237 Pnt +3779 2223 Pnt +3711 2211 Pnt +3643 2201 Pnt +3575 2187 Pnt +3507 2173 Pnt +3439 2160 Pnt +3371 2141 Pnt +3303 2132 Pnt +3235 2119 Pnt +3167 2106 Pnt +3099 2092 Pnt +3031 2071 Pnt +2963 2054 Pnt +2895 2021 Pnt +2826 1964 Pnt +2758 1921 Pnt +2690 1900 Pnt +2622 1883 Pnt +2554 1867 Pnt +5214 2371 Pnt +5146 2363 Pnt +5078 2353 Pnt +5010 2350 Pnt 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Pnt +3110 2083 Pnt +3042 2067 Pnt +2974 2049 Pnt +2906 2018 Pnt +2838 1959 Pnt +2770 1918 Pnt +2702 1898 Pnt +2633 1879 Pnt +2565 1863 Pnt +5225 2369 Pnt +5157 2359 Pnt +5089 2350 Pnt +5021 2346 Pnt +4953 2363 Pnt +4885 2393 Pnt +4817 2394 Pnt +4749 2386 Pnt +4681 2380 Pnt +4613 2370 Pnt +4545 2357 Pnt +4477 2344 Pnt +4409 2331 Pnt +4341 2319 Pnt +4272 2304 Pnt +4204 2293 Pnt +4136 2279 Pnt +4068 2269 Pnt +4000 2257 Pnt +3932 2242 Pnt +3864 2230 Pnt +3796 2215 Pnt +3728 2203 Pnt +3660 2193 Pnt +3592 2177 Pnt +3524 2163 Pnt +3456 2150 Pnt +3388 2138 Pnt +3320 2123 Pnt +3252 2107 Pnt +3184 2095 Pnt +3115 2081 Pnt +3047 2064 Pnt +2979 2047 Pnt +2911 2016 Pnt +2843 1960 Pnt +2775 1917 Pnt +2707 1896 Pnt +2639 1879 Pnt +2571 1861 Pnt +5231 2367 Pnt +5163 2358 Pnt +5095 2349 Pnt +5027 2345 Pnt +4959 2363 Pnt +4891 2391 Pnt +4823 2390 Pnt +4754 2386 Pnt +4686 2378 Pnt +4618 2366 Pnt +4550 2354 Pnt +4482 2342 Pnt +4414 2329 Pnt +4346 2315 Pnt +4278 2303 Pnt +4210 2290 Pnt +4142 2277 Pnt +4074 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2055 Pnt +4508 2042 Pnt +4440 2028 Pnt +4372 2017 Pnt +4304 2001 Pnt +4236 1990 Pnt +4168 1974 Pnt +4100 1965 Pnt +4032 1951 Pnt +3964 1937 Pnt +3896 1923 Pnt +3828 1909 Pnt +3760 1897 Pnt +3691 1884 Pnt +3623 1871 Pnt +3555 1858 Pnt +3487 1843 Pnt +3419 1828 Pnt +3351 1814 Pnt +3283 1794 Pnt +3215 1769 Pnt +3147 1738 Pnt +3079 1720 Pnt +5739 2225 Pnt +5671 2218 Pnt +5603 2221 Pnt +5535 2221 Pnt +5467 2212 Pnt +5399 2203 Pnt +5331 2191 Pnt +5262 2179 Pnt +5194 2168 Pnt +5126 2155 Pnt +5058 2142 Pnt +4990 2132 Pnt +4922 2117 Pnt +4854 2104 Pnt +4786 2091 Pnt +4718 2078 Pnt +4650 2064 Pnt +4582 2053 Pnt +4514 2040 Pnt +4446 2026 Pnt +4378 2015 Pnt +4310 1998 Pnt +4242 1987 Pnt +4173 1973 Pnt +4105 1962 Pnt +4037 1949 Pnt +3969 1936 Pnt +3901 1922 Pnt +3833 1906 Pnt +3765 1896 Pnt +3697 1881 Pnt +3629 1870 Pnt +3561 1854 Pnt +3493 1841 Pnt +3425 1826 Pnt +3357 1811 Pnt +3289 1793 Pnt +3221 1765 Pnt +3153 1737 Pnt +3085 1718 Pnt +5744 2223 Pnt +5676 2217 Pnt +5608 2220 Pnt +5540 2220 Pnt 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Pnt +3640 1863 Pnt +3572 1850 Pnt +3504 1838 Pnt +3436 1820 Pnt +3368 1807 Pnt +3300 1789 Pnt +3232 1764 Pnt +3164 1735 Pnt +3096 1715 Pnt +5756 2220 Pnt +5688 2215 Pnt +5619 2217 Pnt +5551 2217 Pnt +5483 2207 Pnt +5415 2195 Pnt +5347 2186 Pnt +5279 2173 Pnt +5211 2162 Pnt +5143 2149 Pnt +5075 2136 Pnt +5007 2123 Pnt +4939 2111 Pnt +4871 2100 Pnt +4803 2084 Pnt +4735 2073 Pnt +4667 2057 Pnt +4599 2047 Pnt +4531 2033 Pnt +4462 2018 Pnt +4394 2008 Pnt +4326 1994 Pnt +4258 1983 Pnt +4190 1969 Pnt +4122 1957 Pnt +4054 1943 Pnt +3986 1926 Pnt +3918 1916 Pnt +3850 1901 Pnt +3782 1890 Pnt +3714 1877 Pnt +3646 1862 Pnt +3578 1849 Pnt +3510 1836 Pnt +3442 1820 Pnt +3374 1806 Pnt +3305 1787 Pnt +3237 1761 Pnt +3169 1736 Pnt +3101 1713 Pnt +5761 2219 Pnt +5693 2212 Pnt +5625 2214 Pnt +5557 2215 Pnt +5489 2203 Pnt +5421 2194 Pnt +5353 2185 Pnt +5285 2171 Pnt +5217 2160 Pnt +5149 2147 Pnt +5081 2134 Pnt +5013 2122 Pnt +4944 2110 Pnt +4876 2097 Pnt +4808 2083 Pnt +4740 2070 Pnt +4672 2056 Pnt +4604 2046 Pnt +4536 2032 Pnt +4468 2017 Pnt +4400 2006 Pnt +4332 1991 Pnt +4264 1981 Pnt +4196 1968 Pnt +4128 1955 Pnt +4060 1939 Pnt +3992 1925 Pnt +3924 1914 Pnt +3856 1900 Pnt +3787 1889 Pnt +3719 1875 Pnt +3651 1859 Pnt +3583 1845 Pnt +3515 1834 Pnt +3447 1818 Pnt +3379 1805 Pnt +3311 1786 Pnt +3243 1762 Pnt +3175 1733 Pnt +3107 1713 Pnt +5767 2217 Pnt +5699 2211 Pnt +5631 2215 Pnt +5563 2213 Pnt +5495 2202 Pnt +5426 2192 Pnt +5358 2182 Pnt +5290 2170 Pnt +5222 2156 Pnt +5154 2145 Pnt +5086 2131 Pnt +5018 2122 Pnt +4950 2107 Pnt +4882 2094 Pnt +4814 2081 Pnt +4746 2067 Pnt +4678 2056 Pnt +4610 2042 Pnt +4542 2029 Pnt +4474 2014 Pnt +4406 2004 Pnt +4338 1990 Pnt +4269 1977 Pnt +4201 1966 Pnt +4133 1951 Pnt +4065 1938 Pnt +3997 1924 Pnt +3929 1911 Pnt +3861 1898 Pnt +3793 1886 Pnt +3725 1874 Pnt +3657 1859 Pnt +3589 1845 Pnt +3521 1833 Pnt +3453 1815 Pnt +3385 1802 Pnt +3317 1784 Pnt +3249 1759 Pnt +3180 1731 Pnt +3112 1711 Pnt +5772 2215 Pnt +5704 2210 Pnt +5636 2213 Pnt +5568 2211 Pnt 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Pnt +3668 1855 Pnt +3600 1843 Pnt +3532 1829 Pnt +3464 1812 Pnt +3396 1797 Pnt +3328 1780 Pnt +3260 1758 Pnt +3192 1728 Pnt +3124 1708 Pnt +5784 2212 Pnt +5715 2208 Pnt +5647 2211 Pnt +5579 2207 Pnt +5511 2198 Pnt +5443 2188 Pnt +5375 2177 Pnt +5307 2163 Pnt +5239 2151 Pnt +5171 2136 Pnt +5103 2125 Pnt +5035 2114 Pnt +4967 2100 Pnt +4899 2087 Pnt +4831 2076 Pnt +4763 2064 Pnt +4695 2048 Pnt +4627 2037 Pnt +4558 2025 Pnt +4490 2010 Pnt +4422 1996 Pnt +4354 1984 Pnt +4286 1973 Pnt +4218 1959 Pnt +4150 1946 Pnt +4082 1933 Pnt +4014 1917 Pnt +3946 1907 Pnt +3878 1892 Pnt +3810 1880 Pnt +3742 1866 Pnt +3674 1851 Pnt +3606 1839 Pnt +3538 1826 Pnt +3469 1811 Pnt +3401 1796 Pnt +3333 1780 Pnt +3265 1756 Pnt +3197 1727 Pnt +3129 1706 Pnt +5789 2210 Pnt +5721 2206 Pnt +5653 2209 Pnt +5585 2205 Pnt +5517 2196 Pnt +5449 2186 Pnt +5381 2175 Pnt +5313 2161 Pnt +5245 2149 Pnt +5177 2137 Pnt +5109 2124 Pnt +5040 2112 Pnt +4972 2097 Pnt +4904 2085 Pnt +4836 2075 Pnt +4768 2061 Pnt +4700 2047 Pnt +4632 2035 Pnt +4564 2021 Pnt +4496 2007 Pnt +4428 1996 Pnt +4360 1982 Pnt +4292 1971 Pnt +4224 1957 Pnt +4156 1944 Pnt +4088 1931 Pnt +4020 1916 Pnt +3951 1904 Pnt +3883 1889 Pnt +3815 1877 Pnt +3747 1866 Pnt +3679 1849 Pnt +3611 1839 Pnt +3543 1823 Pnt +3475 1807 Pnt +3407 1794 Pnt +3339 1779 Pnt +3271 1755 Pnt +3203 1725 Pnt +3135 1705 Pnt +5795 2209 Pnt +5727 2205 Pnt +5659 2207 Pnt +5591 2203 Pnt +5522 2195 Pnt +5454 2183 Pnt +5386 2172 Pnt +5318 2157 Pnt +5250 2145 Pnt +5182 2135 Pnt +5114 2122 Pnt +5046 2110 Pnt +4978 2097 Pnt +4910 2084 Pnt +4842 2072 Pnt +4774 2060 Pnt +4706 2046 Pnt +4638 2031 Pnt +4570 2018 Pnt +4502 2006 Pnt +4433 1994 Pnt +4365 1981 Pnt +4297 1970 Pnt +4229 1954 Pnt +4161 1940 Pnt +4093 1929 Pnt +4025 1915 Pnt +3957 1902 Pnt +3889 1888 Pnt +3821 1876 Pnt +3753 1863 Pnt +3685 1848 Pnt +3617 1838 Pnt +3549 1822 Pnt +3481 1806 Pnt +3413 1791 Pnt +3345 1776 Pnt +3276 1752 Pnt +3208 1725 Pnt +3140 1704 Pnt +5800 2208 Pnt +5732 2203 Pnt +5664 2205 Pnt +5596 2200 Pnt 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Pnt +3696 1844 Pnt +3628 1831 Pnt +3560 1817 Pnt +3492 1804 Pnt +3424 1789 Pnt +3356 1772 Pnt +3288 1751 Pnt +3220 1720 Pnt +3152 1700 Pnt +5811 2206 Pnt +5743 2200 Pnt +5675 2203 Pnt +5607 2198 Pnt +5539 2188 Pnt +5471 2178 Pnt +5403 2167 Pnt +5335 2153 Pnt +5267 2141 Pnt +5199 2128 Pnt +5131 2116 Pnt +5063 2105 Pnt +4995 2091 Pnt +4927 2079 Pnt +4859 2065 Pnt +4791 2051 Pnt +4722 2038 Pnt +4654 2025 Pnt +4586 2014 Pnt +4518 1999 Pnt +4450 1987 Pnt +4382 1974 Pnt +4314 1962 Pnt +4246 1948 Pnt +4178 1937 Pnt +4110 1924 Pnt +4042 1909 Pnt +3974 1896 Pnt +3906 1881 Pnt +3838 1870 Pnt +3770 1856 Pnt +3702 1843 Pnt +3634 1829 Pnt +3565 1816 Pnt +3497 1801 Pnt +3429 1786 Pnt +3361 1769 Pnt +3293 1748 Pnt +3225 1720 Pnt +3157 1698 Pnt +5817 2204 Pnt +5749 2198 Pnt +5681 2202 Pnt +5613 2197 Pnt +5545 2188 Pnt +5477 2177 Pnt +5409 2165 Pnt +5341 2150 Pnt +5273 2140 Pnt +5204 2125 Pnt +5136 2113 Pnt +5068 2102 Pnt +5000 2089 Pnt +4932 2076 Pnt +4864 2063 Pnt +4796 2049 Pnt +4728 2037 Pnt +4660 2024 Pnt +4592 2010 Pnt +4524 1998 Pnt +4456 1986 Pnt +4388 1971 Pnt +4320 1959 Pnt +4252 1947 Pnt +4184 1935 Pnt +4116 1920 Pnt +4047 1905 Pnt +3979 1894 Pnt +3911 1879 Pnt +3843 1867 Pnt +3775 1855 Pnt +3707 1842 Pnt +3639 1828 Pnt +3571 1814 Pnt +3503 1800 Pnt +3435 1786 Pnt +3367 1768 Pnt +3299 1747 Pnt +3231 1718 Pnt +3163 1697 Pnt +5823 2202 Pnt +5755 2198 Pnt +5686 2199 Pnt +5618 2196 Pnt +5550 2186 Pnt +5482 2174 Pnt +5414 2162 Pnt +5346 2149 Pnt +5278 2139 Pnt +5210 2124 Pnt +5142 2112 Pnt +5074 2100 Pnt +5006 2086 Pnt +4938 2073 Pnt +4870 2062 Pnt +4802 2047 Pnt +4734 2033 Pnt +4666 2023 Pnt +4598 2007 Pnt +4529 1995 Pnt +4461 1983 Pnt +4393 1970 Pnt +4325 1957 Pnt +4257 1945 Pnt +4189 1932 Pnt +4121 1919 Pnt +4053 1905 Pnt +3985 1892 Pnt +3917 1877 Pnt +3849 1865 Pnt +3781 1853 Pnt +3713 1840 Pnt +3645 1826 Pnt +3577 1813 Pnt +3509 1797 Pnt +3440 1782 Pnt +3372 1767 Pnt +3304 1746 Pnt +3236 1718 Pnt +3168 1695 Pnt +5828 2201 Pnt +5760 2197 Pnt +5692 2198 Pnt +5624 2192 Pnt 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Pnt +3724 1837 Pnt +3656 1822 Pnt +3588 1809 Pnt +3520 1795 Pnt +3452 1779 Pnt +3384 1762 Pnt +3316 1742 Pnt +3247 1715 Pnt +3179 1693 Pnt +5839 2198 Pnt +5771 2195 Pnt +5703 2195 Pnt +5635 2188 Pnt +5567 2179 Pnt +5499 2168 Pnt +5431 2156 Pnt +5363 2145 Pnt +5295 2133 Pnt +5227 2118 Pnt +5159 2105 Pnt +5091 2095 Pnt +5023 2082 Pnt +4955 2068 Pnt +4887 2055 Pnt +4818 2041 Pnt +4750 2029 Pnt +4682 2017 Pnt +4614 2004 Pnt +4546 1991 Pnt +4478 1978 Pnt +4410 1964 Pnt +4342 1954 Pnt +4274 1938 Pnt +4206 1927 Pnt +4138 1912 Pnt +4070 1900 Pnt +4002 1887 Pnt +3934 1872 Pnt +3866 1859 Pnt +3798 1849 Pnt +3729 1834 Pnt +3661 1820 Pnt +3593 1807 Pnt +3525 1793 Pnt +3457 1778 Pnt +3389 1760 Pnt +3321 1741 Pnt +3253 1713 Pnt +3185 1691 Pnt +5845 2197 Pnt +5777 2193 Pnt +5709 2193 Pnt +5641 2187 Pnt +5573 2178 Pnt +5505 2166 Pnt +5437 2155 Pnt +5369 2143 Pnt +5300 2131 Pnt +5232 2117 Pnt +5164 2105 Pnt +5096 2093 Pnt +5028 2079 Pnt +4960 2065 Pnt +4892 2053 Pnt +4824 2039 Pnt +4756 2027 Pnt +4688 2015 Pnt +4620 2002 Pnt +4552 1989 Pnt +4484 1977 Pnt +4416 1962 Pnt +4348 1951 Pnt +4280 1937 Pnt +4211 1925 Pnt +4143 1912 Pnt +4075 1898 Pnt +4007 1885 Pnt +3939 1871 Pnt +3871 1857 Pnt +3803 1845 Pnt +3735 1832 Pnt +3667 1819 Pnt +3599 1805 Pnt +3531 1792 Pnt +3463 1775 Pnt +3395 1760 Pnt +3327 1740 Pnt +3259 1713 Pnt +3191 1690 Pnt +5851 2195 Pnt +5782 2193 Pnt +5714 2193 Pnt +5646 2184 Pnt +5578 2176 Pnt +5510 2165 Pnt +5442 2153 Pnt +5374 2141 Pnt +5306 2127 Pnt +5238 2116 Pnt +5170 2102 Pnt +5102 2090 Pnt +5034 2077 Pnt +4966 2063 Pnt +4898 2050 Pnt +4830 2038 Pnt +4762 2026 Pnt +4693 2014 Pnt +4625 1999 Pnt +4557 1985 Pnt +4489 1974 Pnt +4421 1959 Pnt +4353 1949 Pnt +4285 1934 Pnt +4217 1922 Pnt +4149 1909 Pnt +4081 1897 Pnt +4013 1883 Pnt +3945 1870 Pnt +3877 1856 Pnt +3809 1842 Pnt +3741 1829 Pnt +3673 1815 Pnt +3605 1804 Pnt +3536 1790 Pnt +3468 1773 Pnt +3400 1758 Pnt +3332 1737 Pnt +3264 1711 Pnt +3196 1689 Pnt +5856 2193 Pnt +5788 2190 Pnt +5720 2191 Pnt +5652 2183 Pnt 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Pnt +3808 1808 Pnt +3740 1793 Pnt +3672 1781 Pnt +3603 1767 Pnt +3535 1752 Pnt +3467 1737 Pnt +3399 1719 Pnt +3331 1694 Pnt +3263 1670 Pnt +5923 2174 Pnt +5855 2172 Pnt +5787 2171 Pnt +5719 2163 Pnt +5651 2152 Pnt +5583 2141 Pnt +5515 2127 Pnt +5447 2114 Pnt +5379 2104 Pnt +5311 2090 Pnt +5242 2079 Pnt +5174 2066 Pnt +5106 2053 Pnt +5038 2040 Pnt +4970 2027 Pnt +4902 2013 Pnt +4834 1999 Pnt +4766 1989 Pnt +4698 1974 Pnt +4630 1962 Pnt +4562 1949 Pnt +4494 1935 Pnt +4426 1923 Pnt +4358 1909 Pnt +4290 1897 Pnt +4222 1883 Pnt +4154 1871 Pnt +4085 1858 Pnt +4017 1845 Pnt +3949 1830 Pnt +3881 1818 Pnt +3813 1805 Pnt +3745 1791 Pnt +3677 1779 Pnt +3609 1765 Pnt +3541 1751 Pnt +3473 1734 Pnt +3405 1717 Pnt +3337 1693 Pnt +3269 1669 Pnt +5929 2173 Pnt +5861 2172 Pnt +5793 2169 Pnt +5724 2161 Pnt +5656 2150 Pnt +5588 2137 Pnt +5520 2126 Pnt +5452 2112 Pnt +5384 2103 Pnt +5316 2088 Pnt +5248 2077 Pnt +5180 2064 Pnt +5112 2049 Pnt +5044 2038 Pnt +4976 2024 Pnt +4908 2012 Pnt +4840 1997 Pnt +4772 1987 Pnt +4704 1972 Pnt +4636 1958 Pnt +4567 1947 Pnt +4499 1932 Pnt +4431 1921 Pnt +4363 1907 Pnt +4295 1896 Pnt +4227 1882 Pnt +4159 1868 Pnt +4091 1854 Pnt +4023 1843 Pnt +3955 1828 Pnt +3887 1815 Pnt +3819 1802 Pnt +3751 1789 Pnt +3683 1777 Pnt +3615 1762 Pnt +3547 1749 Pnt +3478 1732 Pnt +3410 1715 Pnt +3342 1692 Pnt +3274 1667 Pnt +5934 2172 Pnt +5866 2170 Pnt +5798 2166 Pnt +5730 2157 Pnt +5662 2147 Pnt +5594 2136 Pnt +5526 2125 Pnt +5458 2111 Pnt +5390 2100 Pnt +5322 2088 Pnt +5254 2075 Pnt +5186 2062 Pnt +5118 2047 Pnt +5049 2034 Pnt +4981 2022 Pnt +4913 2009 Pnt +4845 1996 Pnt +4777 1984 Pnt +4709 1972 Pnt +4641 1957 Pnt +4573 1946 Pnt +4505 1933 Pnt +4437 1919 Pnt +4369 1905 Pnt +4301 1893 Pnt +4233 1880 Pnt +4165 1865 Pnt +4097 1853 Pnt +4029 1840 Pnt +3960 1828 Pnt +3892 1814 Pnt +3824 1801 Pnt +3756 1788 Pnt +3688 1775 Pnt +3620 1762 Pnt +3552 1747 Pnt +3484 1731 Pnt +3416 1714 Pnt +3348 1691 Pnt +3280 1666 Pnt +5940 2170 Pnt +5872 2170 Pnt +5804 2166 Pnt +5736 2155 Pnt 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Pnt +3863 1787 Pnt +3795 1773 Pnt +3727 1761 Pnt +3659 1747 Pnt +3591 1733 Pnt +3523 1719 Pnt +3455 1702 Pnt +3387 1679 Pnt +3319 1655 Pnt +5979 2161 Pnt +5911 2159 Pnt +5843 2155 Pnt +5775 2144 Pnt +5707 2132 Pnt +5639 2121 Pnt +5571 2111 Pnt +5502 2096 Pnt +5434 2085 Pnt +5366 2071 Pnt +5298 2061 Pnt +5230 2046 Pnt +5162 2032 Pnt +5094 2022 Pnt +5026 2008 Pnt +4958 1993 Pnt +4890 1981 Pnt +4822 1968 Pnt +4754 1955 Pnt +4686 1942 Pnt +4618 1930 Pnt +4550 1917 Pnt +4482 1904 Pnt +4414 1892 Pnt +4345 1878 Pnt +4277 1865 Pnt +4209 1850 Pnt +4141 1838 Pnt +4073 1824 Pnt +4005 1812 Pnt +3937 1799 Pnt +3869 1784 Pnt +3801 1772 Pnt +3733 1760 Pnt +3665 1746 Pnt +3597 1732 Pnt +3529 1718 Pnt +3461 1699 Pnt +3393 1677 Pnt +3325 1654 Pnt +5984 2160 Pnt +5916 2158 Pnt +5848 2153 Pnt +5780 2142 Pnt +5712 2131 Pnt +5644 2120 Pnt +5576 2110 Pnt +5508 2095 Pnt +5440 2083 Pnt +5372 2070 Pnt +5304 2059 Pnt +5236 2044 Pnt +5168 2031 Pnt +5100 2021 Pnt +5032 2005 Pnt +4964 1992 Pnt +4896 1978 Pnt +4827 1966 Pnt +4759 1952 Pnt +4691 1940 Pnt +4623 1928 Pnt +4555 1917 Pnt +4487 1902 Pnt +4419 1890 Pnt +4351 1876 Pnt +4283 1864 Pnt +4215 1851 Pnt +4147 1837 Pnt +4079 1823 Pnt +4011 1809 Pnt +3943 1798 Pnt +3875 1784 Pnt +3807 1770 Pnt +3738 1758 Pnt +3670 1745 Pnt +3602 1730 Pnt +3534 1715 Pnt +3466 1698 Pnt +3398 1676 Pnt +3330 1653 Pnt +5990 2158 Pnt +5922 2157 Pnt +5854 2151 Pnt +5786 2142 Pnt +5718 2131 Pnt +5650 2118 Pnt +5582 2106 Pnt +5514 2093 Pnt +5446 2082 Pnt +5378 2069 Pnt +5309 2057 Pnt +5241 2043 Pnt +5173 2031 Pnt +5105 2018 Pnt +5037 2002 Pnt +4969 1990 Pnt +4901 1976 Pnt +4833 1965 Pnt +4765 1952 Pnt +4697 1938 Pnt +4629 1927 Pnt +4561 1913 Pnt +4493 1900 Pnt +4425 1887 Pnt +4357 1876 Pnt +4289 1862 Pnt +4220 1848 Pnt +4152 1835 Pnt +4084 1821 Pnt +4016 1807 Pnt +3948 1795 Pnt +3880 1783 Pnt +3812 1768 Pnt +3744 1756 Pnt +3676 1742 Pnt +3608 1728 Pnt +3540 1714 Pnt +3472 1697 Pnt +3404 1675 Pnt +3336 1651 Pnt +5996 2157 Pnt +5928 2155 Pnt +5860 2149 Pnt +5791 2139 Pnt 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Pnt +3891 1779 Pnt +3823 1766 Pnt +3755 1753 Pnt +3687 1738 Pnt +3619 1724 Pnt +3551 1711 Pnt +3483 1694 Pnt +3415 1672 Pnt +3347 1649 Pnt +6007 2154 Pnt +5939 2152 Pnt +5871 2145 Pnt +5803 2137 Pnt +5735 2124 Pnt +5667 2113 Pnt +5598 2100 Pnt +5530 2089 Pnt +5462 2077 Pnt +5394 2062 Pnt +5326 2051 Pnt +5258 2038 Pnt +5190 2025 Pnt +5122 2011 Pnt +5054 1998 Pnt +4986 1985 Pnt +4918 1971 Pnt +4850 1958 Pnt +4782 1945 Pnt +4714 1932 Pnt +4646 1920 Pnt +4578 1907 Pnt +4509 1896 Pnt +4441 1882 Pnt +4373 1868 Pnt +4305 1857 Pnt +4237 1843 Pnt +4169 1832 Pnt +4101 1816 Pnt +4033 1802 Pnt +3965 1788 Pnt +3897 1777 Pnt +3829 1763 Pnt +3761 1751 Pnt +3693 1736 Pnt +3625 1722 Pnt +3557 1708 Pnt +3489 1692 Pnt +3421 1671 Pnt +3352 1647 Pnt +6012 2152 Pnt +5944 2150 Pnt +5876 2145 Pnt +5808 2133 Pnt +5740 2121 Pnt +5672 2112 Pnt +5604 2098 Pnt +5536 2086 Pnt +5468 2073 Pnt +5400 2060 Pnt +5332 2049 Pnt +5264 2034 Pnt +5196 2022 Pnt +5128 2009 Pnt +5060 1996 Pnt +4991 1984 Pnt +4923 1968 Pnt +4855 1956 Pnt +4787 1945 Pnt +4719 1931 Pnt +4651 1918 Pnt +4583 1905 Pnt +4515 1893 Pnt +4447 1879 Pnt +4379 1866 Pnt +4311 1853 Pnt +4243 1841 Pnt +4175 1828 Pnt +4107 1814 Pnt +4039 1800 Pnt +3971 1787 Pnt +3903 1774 Pnt +3834 1762 Pnt +3766 1748 Pnt +3698 1735 Pnt +3630 1720 Pnt +3562 1706 Pnt +3494 1691 Pnt +3426 1670 Pnt +3358 1647 Pnt +6018 2151 Pnt +5950 2148 Pnt +5882 2143 Pnt +5814 2132 Pnt +5746 2120 Pnt +5678 2110 Pnt +5610 2096 Pnt +5542 2085 Pnt +5473 2071 Pnt +5405 2060 Pnt +5337 2047 Pnt +5269 2033 Pnt +5201 2020 Pnt +5133 2006 Pnt +5065 1994 Pnt +4997 1980 Pnt +4929 1966 Pnt +4861 1957 Pnt +4793 1944 Pnt +4725 1929 Pnt +4657 1916 Pnt +4589 1904 Pnt +4521 1892 Pnt +4453 1878 Pnt +4385 1864 Pnt +4316 1852 Pnt +4248 1838 Pnt +4180 1826 Pnt +4112 1811 Pnt +4044 1799 Pnt +3976 1785 Pnt +3908 1773 Pnt +3840 1759 Pnt +3772 1747 Pnt +3704 1733 Pnt +3636 1717 Pnt +3568 1703 Pnt +3500 1688 Pnt +3432 1667 Pnt +3364 1645 Pnt +6024 2150 Pnt +5955 2147 Pnt +5887 2142 Pnt +5819 2131 Pnt +5751 2118 Pnt +5683 2108 Pnt +5615 2095 Pnt +5547 2083 Pnt +5479 2070 Pnt +5411 2059 Pnt +5343 2044 Pnt +5275 2031 Pnt +5207 2019 Pnt +5139 2005 Pnt +5071 1992 Pnt +5003 1980 Pnt +4935 1965 Pnt +4867 1954 Pnt +4798 1942 Pnt +4730 1927 Pnt +4662 1913 Pnt +4594 1900 Pnt +4526 1890 Pnt +4458 1874 Pnt +4390 1864 Pnt +4322 1852 Pnt +4254 1837 Pnt +4186 1825 Pnt +4118 1810 Pnt +4050 1797 Pnt +3982 1782 Pnt +3914 1771 Pnt +3846 1758 Pnt +3778 1745 Pnt +3710 1729 Pnt +3641 1715 Pnt +3573 1702 Pnt +3505 1686 Pnt +3437 1666 Pnt +3369 1644 Pnt +6029 2148 Pnt +5961 2147 Pnt +5893 2140 Pnt +5825 2129 Pnt +5757 2116 Pnt +5689 2105 Pnt +5621 2093 Pnt +5553 2080 Pnt +5485 2067 Pnt +5417 2056 Pnt +5349 2042 Pnt +5280 2029 Pnt +5212 2016 Pnt +5144 2004 Pnt +5076 1990 Pnt +5008 1978 Pnt +4940 1963 Pnt +4872 1952 Pnt +4804 1938 Pnt +4736 1925 Pnt +4668 1912 Pnt +4600 1898 Pnt +4532 1887 Pnt +4464 1872 Pnt +4396 1861 Pnt +4328 1848 Pnt +4260 1837 Pnt +4192 1821 Pnt +4123 1808 Pnt +4055 1795 Pnt +3987 1781 Pnt +3919 1770 Pnt +3851 1757 Pnt +3783 1744 Pnt +3715 1728 Pnt +3647 1714 Pnt +3579 1701 Pnt +3511 1685 Pnt +3443 1665 Pnt +3375 1642 Pnt +6035 2148 Pnt +5967 2144 Pnt +5899 2138 Pnt +5831 2127 Pnt +5762 2115 Pnt +5694 2103 Pnt +5626 2091 Pnt +5558 2078 Pnt +5490 2066 Pnt +5422 2053 Pnt +5354 2040 Pnt +5286 2028 Pnt +5218 2014 Pnt +5150 2002 Pnt +5082 1987 Pnt +5014 1975 Pnt +4946 1960 Pnt +4878 1951 Pnt +4810 1937 Pnt +4742 1924 Pnt +4674 1910 Pnt +4605 1897 Pnt +4537 1885 Pnt +4469 1871 Pnt +4401 1859 Pnt +4333 1847 Pnt +4265 1834 Pnt +4197 1821 Pnt +4129 1806 Pnt +4061 1794 Pnt +3993 1781 Pnt +3925 1767 Pnt +3857 1753 Pnt +3789 1741 Pnt +3721 1727 Pnt +3653 1713 Pnt +3585 1699 Pnt +3516 1683 Pnt +3448 1664 Pnt +3380 1641 Pnt +6040 2144 Pnt +5972 2143 Pnt +5904 2134 Pnt +5836 2124 Pnt +5768 2111 Pnt +5700 2100 Pnt +5632 2088 Pnt +5564 2075 Pnt +5496 2062 Pnt +5428 2050 Pnt +5360 2038 Pnt +5292 2026 Pnt +5224 2010 Pnt +5156 1999 Pnt +5087 1984 Pnt +5019 1973 Pnt +4951 1958 Pnt +4883 1947 Pnt +4815 1933 Pnt +4747 1921 Pnt +4679 1908 Pnt +4611 1895 Pnt +4543 1883 Pnt +4475 1868 Pnt +4407 1856 Pnt +4339 1842 Pnt +4271 1830 Pnt +4203 1817 Pnt +4135 1804 Pnt +4067 1790 Pnt +3998 1777 Pnt +3930 1764 Pnt +3862 1752 Pnt +3794 1739 Pnt +3726 1724 Pnt +3658 1710 Pnt +3590 1696 Pnt +3522 1678 Pnt +3454 1661 Pnt +3386 1639 Pnt +% End plot #1 +1.000 UL +LTb +6312 1335 M +3363 772 L +888 1443 M +3363 772 L +stroke +LCb setrgbcolor +5456 886 M +[ [(Helvetica) 140.0 0.0 true true 0 (Width)] +] -46.7 MCshow +LTb +LCb setrgbcolor +1389 967 M +[ [(Helvetica) 140.0 0.0 true true 0 (Depth)] +] -46.7 MCshow +LTb +LTb +1.000 UP +stroke +grestore +end +showpage +%%Trailer +%%DocumentFonts: Helvetica diff --git a/gpc2011/figures/testC.pdf b/gpc2011/figures/testC.pdf new file mode 100644 index 0000000..7302475 Binary files /dev/null and b/gpc2011/figures/testC.pdf differ diff --git a/gpc2011/gpc2011.tex b/gpc2011/gpc2011.tex new file mode 100644 index 0000000..6048a50 --- /dev/null +++ b/gpc2011/gpc2011.tex @@ -0,0 +1,257 @@ +\documentclass{llncs} +%\usepackage{latex8} +%\usepackage{times} +%\documentclass[a4paper,11pt]{article} +%\usepackage{fullpage} +\usepackage[T1]{fontenc} +\usepackage[utf8]{inputenc} +\usepackage{graphicx,subfigure,graphics} +\usepackage{epsfig} +%\usepackage[usenames]{color} +%\usepackage{latexsym,stmaryrd} +%\usepackage{amsfonts,amssymb} +\usepackage{verbatim,theorem,moreverb} +%\usepackage{float,floatflt} +\usepackage{boxedminipage} +\usepackage{url} +%\usepackage{psfig} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{algorithm} +\usepackage{algorithmic} +%\usepackage{floatfig} +%\usepackage{picins} + + +\def\sfixme#1{\fbox{\textbf{FIXME: }#1}} + +\newcommand{\fixme}[1]{% + \begin{center} + \begin{boxedminipage}{.8\linewidth} + \textsl{{\bf #1}} + \end{boxedminipage} + \end{center} +} +\newcommand{\FIXME}[1]{\marginpar[\null\hspace{2cm} FIXME]{FIXME} \fixme{#1}} + +%\psfigurepath{.:fig:IMAGES} +\graphicspath{{.}{fig/}{IMAGES/}} + +%\initfloatingfigs + +\begin{document} + +\title{Gridification of a Radiotherapy Dose Computation Application with the XtremWeb-CH Environment} + +\author{Nabil Abdennhader\inst{1} \and Raphaël Couturier\inst{1} \and + Julien Henriet\inst{2} \and David Laiymani\inst{1} \and Sébastien Miquée\inst{1} + \and Marc Sauget\inst{2}} + +\institute{Laboratoire d'Informatique de l'universit\'{e} + de Franche-Comt\'{e} \\ + IUT Belfort-Montbéliard, Rue Engel Gros, 90016 Belfort - France \\ +\email{raphael.couturier, david.laiymani, sebastien.miquee@univ-fcomte.fr} +\and + FEMTO-ST, ENISYS/IRMA, F-25210 Montb\'{e}liard , FRANCE\\ +} +%\email{\texttt{[delfabbro,laiymani,nicod,philippe]@lifc.univ-fcomte.fr}}} + + +\maketitle + +\begin{abstract} + +\end{abstract} + +%-------------INTRODUCTION-------------------- +\section{Introduction} + +The use of distributed architectures for solving large scientific problems seems +to become mandatory in a lot of cases. For example, in the domain of +radiotherapy dose computation the problem is crucial. The main goal of external +beam radiotherapy is the treatment of tumours while minimizing exposure to +healthy tissue. Dosimetric planning has to be carried out in order to optimize +the dose distribution within the patient is necessary. Thus, for determining the +most accurate dose distribution during treatment planning, a compromise must be +found between the precision and the speed of calculation. Current techniques, +using analytic methods, models and databases, are rapid but lack +precision. Enhanced precision can be achieved by using calculation codes based, +for example, on Monte Carlo methods. In [] the authors proposed a novel approach +based on the use of neural networks. The approach is based on the collaboration +of computation codes and multi-layer neural networks used as universal +approximators. It provides a fast and accurate evaluation of radiation doses in +any given environment for given irradiation parameters. As the learning step is +often very time consumming, in \cite{bcvsv08:ip} the authors proposed a parallel +algorithm that enable to decompose the learning domain into subdomains. The +decomposition has the advantage to significantly reduce the complexity of the +target functions to approximate. + +Now, as there exist several classes of distributed/parallel architectures +(supercomputers, clusters, global computing...) we have to choose the best +suited one for the parallel Neurad application. The Global or Volunteer +computing model seems to be an interesting approach. Here, the computing power +is obtained by agregating unused (or volunteer) public resources connected to +the Internet. For our case, we can imagine for example, that a part of the +architecture will be composed of some of the different computers of the +hospital. This approach present the advantage to be clearly cheaper than a more +dedicated approach like the use of supercomputer or clusters. + +The aim of this paper is to propose and evaluate a gridification of the Neurad +application (more precisely, of the most time consuming part, the learning step) +using a Global computing approach. For this, we focus on the XtremWeb-CH +environnement []. We choose this environnent because it tackles the centralized +aspect of other global computing environments such as XTremWeb [] or Seti []. It +tends to a peer-to-peer approach by distributing some components of the +architecture. For instance, the computing nodes are allowed to directly +communicate. Experimentations were conducted on a real Global Computing +testbed. The results are very encouraging. They exhibit an interesting speed-up +and show that the overhead induced by the use of XTremWeb-CH is very acceptable. + +The paper is organized as follows. In section 2 we present the Neurad +application and particularly it most time consuming part i.e. the learning +step. Section 3 details the XtremWeb-CH environnement while in section 4 we +expose the gridification of the Neurad application. Experimental results are +presented in section 5 and we end in section 6 by some concluding remarks and +perspectives. + +\section{The Neurad application} + +\begin{figure}[h] + \centering + \includegraphics[width=0.5\columnwidth]{figures/overlap.pdf} + \caption{Overlapping for a sub-network in a two-dimensional domain with ratio + $\alpha$.} + \label{fig:overlap} +\end{figure} + +The \emph{Neurad}~\cite{Neurad} project presented in this paper takes place in a +multi-disciplinary project , involving medical physicists and computer +scientists whose goal is to enhance the treatment planning of cancerous tumors +by external radiotherapy. In our previous +works~\cite{RADIO09,ICANN10,NIMB2008}, we have proposed an original approach to +solve scientific problems whose accurate modeling and/or analytical description +are difficult. That method is based on the collaboration of computational codes +and neural networks used as universal interpolator. Thanks to that method, the +\emph{Neurad} software provides a fast and accurate evaluation of radiation +doses in any given environment (possibly inhomogeneous) for given irradiation +parameters. We have shown in a previous work (\cite{AES2009}) the interest to +use a distributed algorithm for the neural network learning. + +%We use a classical +%RPROP algorithm with a HPU topology to do the training of our neural network. + +In addition to the possibility to design a simple and efficient parallel +algorithm, the domain decomposition presents another important advantage in the +context of neural learning. It significantly reduces the complexity of the +target functions to approximate. Indeed, it is much easier to approximate a +function on a small interval than on a large one, especially if it contains +sharp variations. Thus, a better accuracy can even be expected on each +sub-domain. + +However, performing the learnings on sub-domains constituting a partition of the +initial domain is not satisfying according to the quality of the results. This +comes from the fact that the accuracy of the approximation performed by a neural +network is not constant over the learned domain. Thus, it is necessary to use +an overlapping of the sub-domains. The overall principle is depicted in +Figure~\ref{fig:overlap}. In this way, each sub-network has an exploitation +domain smaller than its training domain and the differences observed at the +borders are no longer relevant. Nonetheless, in order to preserve the +performances of the parallel algorithm, it is important to carefully set the +overlapping ratio $\alpha$. It must be large enough to avoid the border's +errors, and as small as possible to limit the size increase of the data subsets. + + + +%% Je ne pense que cette partie soit nécessaire. Il faudrait essayer de %détailler la partie apprentissage d'un point de vue données en entrée et %données en sorties. Puis décomposition de ces données pour la parallélisation. +\subsection{Data description} + + +In the context of external radiotherapy, an essential parameter is the width of +the beam. The radiation result is directly dependant of this parameter. Indeed, +if the beam has a small width, it cannot reach the electronic balance and does +not present a tray as large as could be seen in Figure~\ref{f_tray} representing +the classical behavior for a deposit curve. + +\begin{figure}[http] + \centering + \includegraphics[width=0.7\columnwidth]{figures/testC.pdf} + \caption{Dose deposit by a photon beam of 24 mm of width in water (Normalised value). } + \label{f_tray} +\end{figure} + +The evolution of the behaviour of the energy deposit during an irradiation is +shown in Figure~\ref{f_beam} which represents the energy deposit at different +depths for different widths of beam. The main characteristics of a dose deposit +curve are the regularity of the central part followed by the sharpness of the +beam sides. The main constraint in the scope of our work is the limited +tolerance about the final learning error. + +\begin{figure}[http] + \centering + \includegraphics[width=0.45\columnwidth]{figures/eau_02_to_24.pdf} + \includegraphics[width=0.45\columnwidth]{figures/ta6v4_02_to_24.pdf} + \caption{Dose deposits at the depth of 60 mm in water phantom and in ta6v4 + (titanium) (Normalised value)} + \label{f_beam} +\end{figure} + +Indeed, the neural network described here represents one tool in a very complex +chain of treatment for the global evaluation of the dose deposit in complex +environments. The use of the neural network is central in our overall project +and a too large error at this stage could imply that our final solution may be +out of the medical error tolerance. + + + +\section{The XtremWeb-CH environment} + + + +\section{Neurad gridification with XTremWeb-CH} + +%The Neurad application can be divided into three parts. The first one +%aims at dividing data representing dose distribution on an area. This +%area contains various parameters, like the density of the medium and +%its nature. Multiple ``views'' can be superposed in order to obtain a +%more accurate learning. + +As exposed before, we only focus in these works on the most time consuming part of Neurad i.e. the neural learning part. +These computations fit well with the model of the middleware -- all learning tasks execute in +parallel independently with their own local data part, with no +communication, following the fork-join model. + +As described on Figure +\ref{fig:neurad_grid}, we first send the learning application and data +to the middleware (more precisely on warehouses (DW)) and create the +computation module. When a worker (W) is ready to compute, it requests +a task to execute to the coordinator (Coord.). This latter assigns it +a task. The worker retrieves the application and its assigned data, +and can start the computation. At the end of the learning process, it +sends the result, a weighted neural network which will be used in a +dose distribution process, to a warehouse. The last step of the +application is to retrieve these results and exploit them. + + +\begin{figure}[ht] + \centering + \includegraphics[width=7cm]{figures/neurad_gridif} + \caption{Neurad gridification} + \label{fig:neurad_grid} +\end{figure} + + +\section{Experimental results} + + + +\section{Conclusion and future works} + + + +\bibliographystyle{plain} +\bibliography{biblio} + + + +\end{document} diff --git a/gpc2011/llncs.cls b/gpc2011/llncs.cls new file mode 100644 index 0000000..23fd1c6 --- /dev/null +++ b/gpc2011/llncs.cls @@ -0,0 +1,1190 @@ +% LLNCS DOCUMENT CLASS -- version 2.14 (17-Aug-2004) +% Springer Verlag LaTeX2e support for Lecture Notes in Computer Science +% +%% +%% \CharacterTable +%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z +%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z +%% Digits \0\1\2\3\4\5\6\7\8\9 +%% Exclamation \! Double quote \" Hash (number) \# +%% Dollar \$ Percent \% Ampersand \& +%% Acute accent \' Left paren \( Right paren \) +%% Asterisk \* Plus \+ Comma \, +%% Minus \- Point \. Solidus \/ +%% Colon \: Semicolon \; Less than \< +%% Equals \= Greater than \> Question mark \? +%% Commercial at \@ Left bracket \[ Backslash \\ +%% Right bracket \] Circumflex \^ Underscore \_ +%% Grave accent \` Left brace \{ Vertical bar \| +%% Right brace \} Tilde \~} +%% +\NeedsTeXFormat{LaTeX2e}[1995/12/01] +\ProvidesClass{llncs}[2004/08/17 v2.14 +^^J LaTeX document class for Lecture Notes in Computer Science] +% Options +\let\if@envcntreset\iffalse +\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue} +\DeclareOption{citeauthoryear}{\let\citeauthoryear=Y} +\DeclareOption{oribibl}{\let\oribibl=Y} +\let\if@custvec\iftrue +\DeclareOption{orivec}{\let\if@custvec\iffalse} +\let\if@envcntsame\iffalse +\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue} +\let\if@envcntsect\iffalse +\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue} +\let\if@runhead\iffalse +\DeclareOption{runningheads}{\let\if@runhead\iftrue} + +\let\if@openbib\iffalse +\DeclareOption{openbib}{\let\if@openbib\iftrue} + +% languages +\let\switcht@@therlang\relax +\def\ds@deutsch{\def\switcht@@therlang{\switcht@deutsch}} +\def\ds@francais{\def\switcht@@therlang{\switcht@francais}} + +\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}} + +\ProcessOptions + +\LoadClass[twoside]{article} +\RequirePackage{multicol} % needed for the list of participants, index + +\setlength{\textwidth}{12.2cm} +\setlength{\textheight}{19.3cm} +\renewcommand\@pnumwidth{2em} +\renewcommand\@tocrmarg{3.5em} +% +\def\@dottedtocline#1#2#3#4#5{% + \ifnum #1>\c@tocdepth \else + \vskip \z@ \@plus.2\p@ + {\leftskip #2\relax \rightskip \@tocrmarg \advance\rightskip by 0pt plus 2cm + \parfillskip -\rightskip \pretolerance=10000 + \parindent #2\relax\@afterindenttrue + \interlinepenalty\@M + \leavevmode + \@tempdima #3\relax + \advance\leftskip \@tempdima \null\nobreak\hskip -\leftskip + {#4}\nobreak + \leaders\hbox{$\m@th + \mkern \@dotsep mu\hbox{.}\mkern \@dotsep + mu$}\hfill + \nobreak + \hb@xt@\@pnumwidth{\hfil\normalfont \normalcolor #5}% + \par}% + \fi} +% +\def\switcht@albion{% +\def\abstractname{Abstract.} +\def\ackname{Acknowledgement.} +\def\andname{and} +\def\lastandname{\unskip, and} +\def\appendixname{Appendix} +\def\chaptername{Chapter} +\def\claimname{Claim} +\def\conjecturename{Conjecture} +\def\contentsname{Table of Contents} +\def\corollaryname{Corollary} +\def\definitionname{Definition} +\def\examplename{Example} +\def\exercisename{Exercise} +\def\figurename{Fig.} +\def\keywordname{{\bf Key words:}} +\def\indexname{Index} +\def\lemmaname{Lemma} +\def\contriblistname{List of Contributors} +\def\listfigurename{List of Figures} +\def\listtablename{List of Tables} +\def\mailname{{\it Correspondence to\/}:} +\def\noteaddname{Note added in proof} +\def\notename{Note} +\def\partname{Part} +\def\problemname{Problem} +\def\proofname{Proof} +\def\propertyname{Property} +\def\propositionname{Proposition} +\def\questionname{Question} +\def\remarkname{Remark} +\def\seename{see} +\def\solutionname{Solution} +\def\subclassname{{\it Subject Classifications\/}:} +\def\tablename{Table} +\def\theoremname{Theorem}} +\switcht@albion +% Names of theorem like environments are already defined +% but must be translated if another language is chosen +% +% French section +\def\switcht@francais{%\typeout{On parle francais.}% + \def\abstractname{R\'esum\'e.}% + \def\ackname{Remerciements.}% + \def\andname{et}% + \def\lastandname{ et}% + \def\appendixname{Appendice} + \def\chaptername{Chapitre}% + \def\claimname{Pr\'etention}% + \def\conjecturename{Hypoth\`ese}% + \def\contentsname{Table des mati\`eres}% + \def\corollaryname{Corollaire}% + \def\definitionname{D\'efinition}% + \def\examplename{Exemple}% + \def\exercisename{Exercice}% + \def\figurename{Fig.}% + \def\keywordname{{\bf Mots-cl\'e:}} + \def\indexname{Index} + \def\lemmaname{Lemme}% + \def\contriblistname{Liste des contributeurs} + \def\listfigurename{Liste des figures}% + \def\listtablename{Liste des tables}% + \def\mailname{{\it Correspondence to\/}:} + \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}% + \def\notename{Remarque}% + \def\partname{Partie}% + \def\problemname{Probl\`eme}% + \def\proofname{Preuve}% + \def\propertyname{Caract\'eristique}% +%\def\propositionname{Proposition}% + \def\questionname{Question}% + \def\remarkname{Remarque}% + \def\seename{voir} + \def\solutionname{Solution}% + \def\subclassname{{\it Subject Classifications\/}:} + \def\tablename{Tableau}% + \def\theoremname{Th\'eor\`eme}% +} +% +% German section +\def\switcht@deutsch{%\typeout{Man spricht deutsch.}% + \def\abstractname{Zusammenfassung.}% + \def\ackname{Danksagung.}% + \def\andname{und}% + \def\lastandname{ und}% + \def\appendixname{Anhang}% + \def\chaptername{Kapitel}% + \def\claimname{Behauptung}% + \def\conjecturename{Hypothese}% + \def\contentsname{Inhaltsverzeichnis}% + \def\corollaryname{Korollar}% +%\def\definitionname{Definition}% + \def\examplename{Beispiel}% + \def\exercisename{\"Ubung}% + \def\figurename{Abb.}% + \def\keywordname{{\bf Schl\"usselw\"orter:}} + \def\indexname{Index} +%\def\lemmaname{Lemma}% + \def\contriblistname{Mitarbeiter} + \def\listfigurename{Abbildungsverzeichnis}% + \def\listtablename{Tabellenverzeichnis}% + \def\mailname{{\it Correspondence to\/}:} + \def\noteaddname{Nachtrag}% + \def\notename{Anmerkung}% + \def\partname{Teil}% +%\def\problemname{Problem}% + \def\proofname{Beweis}% + \def\propertyname{Eigenschaft}% +%\def\propositionname{Proposition}% + \def\questionname{Frage}% + \def\remarkname{Anmerkung}% + \def\seename{siehe} + \def\solutionname{L\"osung}% + \def\subclassname{{\it Subject Classifications\/}:} + \def\tablename{Tabelle}% +%\def\theoremname{Theorem}% +} + +% Ragged bottom for the actual page +\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil +\global\let\@textbottom\relax}} + +\renewcommand\small{% + \@setfontsize\small\@ixpt{11}% + \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@ + \abovedisplayshortskip \z@ \@plus2\p@ + \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@ + \def\@listi{\leftmargin\leftmargini + \parsep 0\p@ \@plus1\p@ \@minus\p@ + \topsep 8\p@ \@plus2\p@ \@minus4\p@ + \itemsep0\p@}% + \belowdisplayskip \abovedisplayskip +} + +\frenchspacing +\widowpenalty=10000 +\clubpenalty=10000 + +\setlength\oddsidemargin {63\p@} +\setlength\evensidemargin {63\p@} +\setlength\marginparwidth {90\p@} + +\setlength\headsep {16\p@} + +\setlength\footnotesep{7.7\p@} +\setlength\textfloatsep{8mm\@plus 2\p@ \@minus 4\p@} +\setlength\intextsep {8mm\@plus 2\p@ \@minus 2\p@} + +\setcounter{secnumdepth}{2} + +\newcounter {chapter} +\renewcommand\thechapter {\@arabic\c@chapter} + +\newif\if@mainmatter \@mainmattertrue +\newcommand\frontmatter{\cleardoublepage + \@mainmatterfalse\pagenumbering{Roman}} +\newcommand\mainmatter{\cleardoublepage + \@mainmattertrue\pagenumbering{arabic}} +\newcommand\backmatter{\if@openright\cleardoublepage\else\clearpage\fi + \@mainmatterfalse} + +\renewcommand\part{\cleardoublepage + \thispagestyle{empty}% + \if@twocolumn + \onecolumn + \@tempswatrue + \else + \@tempswafalse + \fi + \null\vfil + \secdef\@part\@spart} + +\def\@part[#1]#2{% + \ifnum \c@secnumdepth >-2\relax + \refstepcounter{part}% + \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}% + \else + \addcontentsline{toc}{part}{#1}% + \fi + \markboth{}{}% + {\centering + \interlinepenalty \@M + \normalfont + \ifnum \c@secnumdepth >-2\relax + \huge\bfseries \partname~\thepart + \par + \vskip 20\p@ + \fi + \Huge \bfseries #2\par}% + \@endpart} +\def\@spart#1{% + {\centering + \interlinepenalty \@M + \normalfont + \Huge \bfseries #1\par}% + \@endpart} +\def\@endpart{\vfil\newpage + \if@twoside + \null + \thispagestyle{empty}% + \newpage + \fi + \if@tempswa + \twocolumn + \fi} + +\newcommand\chapter{\clearpage + \thispagestyle{empty}% + \global\@topnum\z@ + \@afterindentfalse + \secdef\@chapter\@schapter} +\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne + \if@mainmatter + \refstepcounter{chapter}% + \typeout{\@chapapp\space\thechapter.}% + \addcontentsline{toc}{chapter}% + {\protect\numberline{\thechapter}#1}% + \else + \addcontentsline{toc}{chapter}{#1}% + \fi + \else + \addcontentsline{toc}{chapter}{#1}% + \fi + \chaptermark{#1}% + \addtocontents{lof}{\protect\addvspace{10\p@}}% + \addtocontents{lot}{\protect\addvspace{10\p@}}% + \if@twocolumn + \@topnewpage[\@makechapterhead{#2}]% + \else + \@makechapterhead{#2}% + \@afterheading + \fi} +\def\@makechapterhead#1{% +% \vspace*{50\p@}% + {\centering + \ifnum \c@secnumdepth >\m@ne + \if@mainmatter + \large\bfseries \@chapapp{} \thechapter + \par\nobreak + \vskip 20\p@ + \fi + \fi + \interlinepenalty\@M + \Large \bfseries #1\par\nobreak + \vskip 40\p@ + }} +\def\@schapter#1{\if@twocolumn + \@topnewpage[\@makeschapterhead{#1}]% + \else + \@makeschapterhead{#1}% + \@afterheading + \fi} +\def\@makeschapterhead#1{% +% \vspace*{50\p@}% + {\centering + \normalfont + \interlinepenalty\@M + \Large \bfseries #1\par\nobreak + \vskip 40\p@ + }} + +\renewcommand\section{\@startsection{section}{1}{\z@}% + {-18\p@ \@plus -4\p@ \@minus -4\p@}% + {12\p@ \@plus 4\p@ \@minus 4\p@}% + {\normalfont\large\bfseries\boldmath + \rightskip=\z@ \@plus 8em\pretolerance=10000 }} +\renewcommand\subsection{\@startsection{subsection}{2}{\z@}% + {-18\p@ \@plus -4\p@ \@minus -4\p@}% + {8\p@ \@plus 4\p@ \@minus 4\p@}% + {\normalfont\normalsize\bfseries\boldmath + \rightskip=\z@ \@plus 8em\pretolerance=10000 }} +\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}% + {-18\p@ \@plus -4\p@ \@minus -4\p@}% + {-0.5em \@plus -0.22em \@minus -0.1em}% + {\normalfont\normalsize\bfseries\boldmath}} +\renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}% + {-12\p@ \@plus -4\p@ \@minus -4\p@}% + {-0.5em \@plus -0.22em \@minus -0.1em}% + {\normalfont\normalsize\itshape}} +\renewcommand\subparagraph[1]{\typeout{LLNCS warning: You should not use + \string\subparagraph\space with this class}\vskip0.5cm +You should not use \verb|\subparagraph| with this class.\vskip0.5cm} + +\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00} +\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01} +\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02} +\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03} +\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04} +\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05} +\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06} +\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07} +\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08} +\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09} +\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A} + +\let\footnotesize\small + +\if@custvec +\def\vec#1{\mathchoice{\mbox{\boldmath$\displaystyle#1$}} +{\mbox{\boldmath$\textstyle#1$}} +{\mbox{\boldmath$\scriptstyle#1$}} +{\mbox{\boldmath$\scriptscriptstyle#1$}}} +\fi + +\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}} +\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil +\penalty50\hskip1em\null\nobreak\hfil\squareforqed +\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi} + +\def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip +\halign{\hfil +$\displaystyle##$\hfil\cr\gets\cr\to\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\gets +\cr\to\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\gets +\cr\to\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr +\gets\cr\to\cr}}}}} +\def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil +$\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr +\noalign{\vskip1.2pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr +\noalign{\vskip1pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr +<\cr +\noalign{\vskip0.9pt}=\cr}}}}} +\def\gid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil +$\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.2pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr +\noalign{\vskip1.2pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr +\noalign{\vskip1pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr +>\cr +\noalign{\vskip0.9pt}=\cr}}}}} +\def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip +\halign{\hfil +$\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1pt}<\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr +>\cr\noalign{\vskip-1pt}<\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr +>\cr\noalign{\vskip-0.8pt}<\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr +>\cr\noalign{\vskip-0.3pt}<\cr}}}}} +\def\bbbr{{\rm I\!R}} %reelle Zahlen +\def\bbbm{{\rm I\!M}} +\def\bbbn{{\rm I\!N}} %natuerliche Zahlen +\def\bbbf{{\rm I\!F}} +\def\bbbh{{\rm I\!H}} +\def\bbbk{{\rm I\!K}} +\def\bbbp{{\rm I\!P}} +\def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l} +{\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}} +\def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox +to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox +to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox +to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox +to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}} +\def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm +Q$}\hbox{\raise +0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}} +{\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise +0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise +0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise +0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}} +\def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm +T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox +to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox +to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox +to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}} +\def\bbbs{{\mathchoice +{\setbox0=\hbox{$\displaystyle \rm S$}\hbox{\raise0.5\ht0\hbox +to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox +to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}} +{\setbox0=\hbox{$\textstyle \rm S$}\hbox{\raise0.5\ht0\hbox +to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox +to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptstyle \rm S$}\hbox{\raise0.5\ht0\hbox +to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox +to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox +to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox +to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}} +\def\bbbz{{\mathchoice {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}} +{\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}} +{\hbox{$\mathsf\scriptstyle Z\kern-0.3em Z$}} +{\hbox{$\mathsf\scriptscriptstyle Z\kern-0.2em Z$}}}} + +\let\ts\, + +\setlength\leftmargini {17\p@} +\setlength\leftmargin {\leftmargini} +\setlength\leftmarginii {\leftmargini} +\setlength\leftmarginiii {\leftmargini} +\setlength\leftmarginiv {\leftmargini} +\setlength \labelsep {.5em} +\setlength \labelwidth{\leftmargini} +\addtolength\labelwidth{-\labelsep} + +\def\@listI{\leftmargin\leftmargini + \parsep 0\p@ \@plus1\p@ \@minus\p@ + \topsep 8\p@ \@plus2\p@ \@minus4\p@ + \itemsep0\p@} +\let\@listi\@listI +\@listi +\def\@listii {\leftmargin\leftmarginii + \labelwidth\leftmarginii + \advance\labelwidth-\labelsep + \topsep 0\p@ \@plus2\p@ \@minus\p@} +\def\@listiii{\leftmargin\leftmarginiii + \labelwidth\leftmarginiii + \advance\labelwidth-\labelsep + \topsep 0\p@ \@plus\p@\@minus\p@ + \parsep \z@ + \partopsep \p@ \@plus\z@ \@minus\p@} + +\renewcommand\labelitemi{\normalfont\bfseries --} +\renewcommand\labelitemii{$\m@th\bullet$} + +\setlength\arraycolsep{1.4\p@} +\setlength\tabcolsep{1.4\p@} + +\def\tableofcontents{\chapter*{\contentsname\@mkboth{{\contentsname}}% + {{\contentsname}}} + \def\authcount##1{\setcounter{auco}{##1}\setcounter{@auth}{1}} + \def\lastand{\ifnum\value{auco}=2\relax + \unskip{} \andname\ + \else + \unskip \lastandname\ + \fi}% + \def\and{\stepcounter{@auth}\relax + \ifnum\value{@auth}=\value{auco}% + \lastand + \else + \unskip, + \fi}% + \@starttoc{toc}\if@restonecol\twocolumn\fi} + +\def\l@part#1#2{\addpenalty{\@secpenalty}% + \addvspace{2em plus\p@}% % space above part line + \begingroup + \parindent \z@ + \rightskip \z@ plus 5em + \hrule\vskip5pt + \large % same size as for a contribution heading + \bfseries\boldmath % set line in boldface + \leavevmode % TeX command to enter horizontal mode. + #1\par + \vskip5pt + \hrule + \vskip1pt + \nobreak % Never break after part entry + \endgroup} + +\def\@dotsep{2} + +\def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else +{chapter.\thechapter}\fi} + +\def\addnumcontentsmark#1#2#3{% +\addtocontents{#1}{\protect\contentsline{#2}{\protect\numberline + {\thechapter}#3}{\thepage}\hyperhrefextend}} +\def\addcontentsmark#1#2#3{% +\addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}\hyperhrefextend}} +\def\addcontentsmarkwop#1#2#3{% +\addtocontents{#1}{\protect\contentsline{#2}{#3}{0}\hyperhrefextend}} + +\def\@adcmk[#1]{\ifcase #1 \or +\def\@gtempa{\addnumcontentsmark}% + \or \def\@gtempa{\addcontentsmark}% + \or \def\@gtempa{\addcontentsmarkwop}% + \fi\@gtempa{toc}{chapter}} +\def\addtocmark{\@ifnextchar[{\@adcmk}{\@adcmk[3]}} + +\def\l@chapter#1#2{\addpenalty{-\@highpenalty} + \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup + \parindent \z@ \rightskip \@tocrmarg + \advance\rightskip by 0pt plus 2cm + \parfillskip -\rightskip \pretolerance=10000 + \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip + {\large\bfseries\boldmath#1}\ifx0#2\hfil\null + \else + \nobreak + \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern + \@dotsep mu$}\hfill + \nobreak\hbox to\@pnumwidth{\hss #2}% + \fi\par + \penalty\@highpenalty \endgroup} + +\def\l@title#1#2{\addpenalty{-\@highpenalty} + \addvspace{8pt plus 1pt} + \@tempdima \z@ + \begingroup + \parindent \z@ \rightskip \@tocrmarg + \advance\rightskip by 0pt plus 2cm + \parfillskip -\rightskip \pretolerance=10000 + \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip + #1\nobreak + \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern + \@dotsep mu$}\hfill + \nobreak\hbox to\@pnumwidth{\hss #2}\par + \penalty\@highpenalty \endgroup} + +\def\l@author#1#2{\addpenalty{\@highpenalty} + \@tempdima=15\p@ %\z@ + \begingroup + \parindent \z@ \rightskip \@tocrmarg + \advance\rightskip by 0pt plus 2cm + \pretolerance=10000 + \leavevmode \advance\leftskip\@tempdima %\hskip -\leftskip + \textit{#1}\par + \penalty\@highpenalty \endgroup} + +\setcounter{tocdepth}{0} +\newdimen\tocchpnum +\newdimen\tocsecnum +\newdimen\tocsectotal +\newdimen\tocsubsecnum +\newdimen\tocsubsectotal +\newdimen\tocsubsubsecnum +\newdimen\tocsubsubsectotal +\newdimen\tocparanum +\newdimen\tocparatotal +\newdimen\tocsubparanum +\tocchpnum=\z@ % no chapter numbers +\tocsecnum=15\p@ % section 88. plus 2.222pt +\tocsubsecnum=23\p@ % subsection 88.8 plus 2.222pt +\tocsubsubsecnum=27\p@ % subsubsection 88.8.8 plus 1.444pt +\tocparanum=35\p@ % paragraph 88.8.8.8 plus 1.666pt +\tocsubparanum=43\p@ % subparagraph 88.8.8.8.8 plus 1.888pt +\def\calctocindent{% +\tocsectotal=\tocchpnum +\advance\tocsectotal by\tocsecnum +\tocsubsectotal=\tocsectotal +\advance\tocsubsectotal by\tocsubsecnum +\tocsubsubsectotal=\tocsubsectotal +\advance\tocsubsubsectotal by\tocsubsubsecnum +\tocparatotal=\tocsubsubsectotal +\advance\tocparatotal by\tocparanum} +\calctocindent + +\def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}} +\def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}} +\def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}} +\def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}} +\def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}} + +\def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn + \fi\section*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}} + \@starttoc{lof}\if@restonecol\twocolumn\fi} +\def\l@figure{\@dottedtocline{1}{0em}{1.5em}} + +\def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn + \fi\section*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}} + \@starttoc{lot}\if@restonecol\twocolumn\fi} +\let\l@table\l@figure + +\renewcommand\listoffigures{% + \section*{\listfigurename + \@mkboth{\listfigurename}{\listfigurename}}% + \@starttoc{lof}% + } + +\renewcommand\listoftables{% + \section*{\listtablename + \@mkboth{\listtablename}{\listtablename}}% + \@starttoc{lot}% + } + +\ifx\oribibl\undefined +\ifx\citeauthoryear\undefined +\renewenvironment{thebibliography}[1] + {\section*{\refname} + \def\@biblabel##1{##1.} + \small + \list{\@biblabel{\@arabic\c@enumiv}}% + {\settowidth\labelwidth{\@biblabel{#1}}% + \leftmargin\labelwidth + \advance\leftmargin\labelsep + \if@openbib + \advance\leftmargin\bibindent + \itemindent -\bibindent + \listparindent \itemindent + \parsep \z@ + \fi + \usecounter{enumiv}% + \let\p@enumiv\@empty + \renewcommand\theenumiv{\@arabic\c@enumiv}}% + \if@openbib + \renewcommand\newblock{\par}% + \else + \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}% + \fi + \sloppy\clubpenalty4000\widowpenalty4000% + \sfcode`\.=\@m} + {\def\@noitemerr + {\@latex@warning{Empty `thebibliography' environment}}% + \endlist} +\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw + {\let\protect\noexpand\immediate + \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces} +\newcount\@tempcntc +\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi + \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do + {\@ifundefined + {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries + ?}\@warning + {Citation `\@citeb' on page \thepage \space undefined}}% + {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}% + \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne + \@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}% + \else + \advance\@tempcntb\@ne + \ifnum\@tempcntb=\@tempcntc + \else\advance\@tempcntb\m@ne\@citeo + \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}} +\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else + \@citea\def\@citea{,\,\hskip\z@skip}% + \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else + {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else + \def\@citea{--}\fi + \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi} +\else +\renewenvironment{thebibliography}[1] + {\section*{\refname} + \small + \list{}% + {\settowidth\labelwidth{}% + \leftmargin\parindent + \itemindent=-\parindent + \labelsep=\z@ + \if@openbib + \advance\leftmargin\bibindent + \itemindent -\bibindent + \listparindent \itemindent + \parsep \z@ + \fi + \usecounter{enumiv}% + \let\p@enumiv\@empty + \renewcommand\theenumiv{}}% + \if@openbib + \renewcommand\newblock{\par}% + \else + \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}% + \fi + \sloppy\clubpenalty4000\widowpenalty4000% + \sfcode`\.=\@m} + {\def\@noitemerr + {\@latex@warning{Empty `thebibliography' environment}}% + \endlist} + \def\@cite#1{#1}% + \def\@lbibitem[#1]#2{\item[]\if@filesw + {\def\protect##1{\string ##1\space}\immediate + \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces} + \fi +\else +\@cons\@openbib@code{\noexpand\small} +\fi + +\def\idxquad{\hskip 10\p@}% space that divides entry from number + +\def\@idxitem{\par\hangindent 10\p@} + +\def\subitem{\par\setbox0=\hbox{--\enspace}% second order + \noindent\hangindent\wd0\box0}% index entry + +\def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third + \noindent\hangindent\wd0\box0}% order index entry + +\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax} + +\renewenvironment{theindex} + {\@mkboth{\indexname}{\indexname}% + \thispagestyle{empty}\parindent\z@ + \parskip\z@ \@plus .3\p@\relax + \let\item\par + \def\,{\relax\ifmmode\mskip\thinmuskip + \else\hskip0.2em\ignorespaces\fi}% + \normalfont\small + \begin{multicols}{2}[\@makeschapterhead{\indexname}]% + } + {\end{multicols}} + +\renewcommand\footnoterule{% + \kern-3\p@ + \hrule\@width 2truecm + \kern2.6\p@} + \newdimen\fnindent + \fnindent1em +\long\def\@makefntext#1{% + \parindent \fnindent% + \leftskip \fnindent% + \noindent + \llap{\hb@xt@1em{\hss\@makefnmark\ }}\ignorespaces#1} + +\long\def\@makecaption#1#2{% + \vskip\abovecaptionskip + \sbox\@tempboxa{{\bfseries #1.} #2}% + \ifdim \wd\@tempboxa >\hsize + {\bfseries #1.} #2\par + \else + \global \@minipagefalse + \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}% + \fi + \vskip\belowcaptionskip} + +\def\fps@figure{htbp} +\def\fnum@figure{\figurename\thinspace\thefigure} +\def \@floatboxreset {% + \reset@font + \small + \@setnobreak + \@setminipage +} +\def\fps@table{htbp} +\def\fnum@table{\tablename~\thetable} +\renewenvironment{table} + {\setlength\abovecaptionskip{0\p@}% + \setlength\belowcaptionskip{10\p@}% + \@float{table}} + {\end@float} +\renewenvironment{table*} + {\setlength\abovecaptionskip{0\p@}% + \setlength\belowcaptionskip{10\p@}% + \@dblfloat{table}} + {\end@dblfloat} + +\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname + ext@#1\endcsname}{#1}{\protect\numberline{\csname + the#1\endcsname}{\ignorespaces #2}}\begingroup + \@parboxrestore + \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par + \endgroup} + +% LaTeX does not provide a command to enter the authors institute +% addresses. The \institute command is defined here. + +\newcounter{@inst} +\newcounter{@auth} +\newcounter{auco} +\newdimen\instindent +\newbox\authrun +\newtoks\authorrunning +\newtoks\tocauthor +\newbox\titrun +\newtoks\titlerunning +\newtoks\toctitle + +\def\clearheadinfo{\gdef\@author{No Author Given}% + \gdef\@title{No Title Given}% + \gdef\@subtitle{}% + \gdef\@institute{No Institute Given}% + \gdef\@thanks{}% + \global\titlerunning={}\global\authorrunning={}% + \global\toctitle={}\global\tocauthor={}} + +\def\institute#1{\gdef\@institute{#1}} + +\def\institutename{\par + \begingroup + \parskip=\z@ + \parindent=\z@ + \setcounter{@inst}{1}% + \def\and{\par\stepcounter{@inst}% + \noindent$^{\the@inst}$\enspace\ignorespaces}% + \setbox0=\vbox{\def\thanks##1{}\@institute}% + \ifnum\c@@inst=1\relax + \gdef\fnnstart{0}% + \else + \xdef\fnnstart{\c@@inst}% + \setcounter{@inst}{1}% + \noindent$^{\the@inst}$\enspace + \fi + \ignorespaces + \@institute\par + \endgroup} + +\def\@fnsymbol#1{\ensuremath{\ifcase#1\or\star\or{\star\star}\or + {\star\star\star}\or \dagger\or \ddagger\or + \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger + \or \ddagger\ddagger \else\@ctrerr\fi}} + +\def\inst#1{\unskip$^{#1}$} +\def\fnmsep{\unskip$^,$} +\def\email#1{{\tt#1}} +\AtBeginDocument{\@ifundefined{url}{\def\url#1{#1}}{}% +\@ifpackageloaded{babel}{% +\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}% +\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}% +\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}% +}{\switcht@@therlang}% +} +\def\homedir{\~{ }} + +\def\subtitle#1{\gdef\@subtitle{#1}} +\clearheadinfo +% +\renewcommand\maketitle{\newpage + \refstepcounter{chapter}% + \stepcounter{section}% + \setcounter{section}{0}% + \setcounter{subsection}{0}% + \setcounter{figure}{0} + \setcounter{table}{0} + \setcounter{equation}{0} + \setcounter{footnote}{0}% + \begingroup + \parindent=\z@ + \renewcommand\thefootnote{\@fnsymbol\c@footnote}% + \if@twocolumn + \ifnum \col@number=\@ne + \@maketitle + \else + \twocolumn[\@maketitle]% + \fi + \else + \newpage + \global\@topnum\z@ % Prevents figures from going at top of page. + \@maketitle + \fi + \thispagestyle{empty}\@thanks +% + \def\\{\unskip\ \ignorespaces}\def\inst##1{\unskip{}}% + \def\thanks##1{\unskip{}}\def\fnmsep{\unskip}% + \instindent=\hsize + \advance\instindent by-\headlineindent + \if!\the\toctitle!\addcontentsline{toc}{title}{\@title}\else + \addcontentsline{toc}{title}{\the\toctitle}\fi + \if@runhead + \if!\the\titlerunning!\else + \edef\@title{\the\titlerunning}% + \fi + \global\setbox\titrun=\hbox{\small\rm\unboldmath\ignorespaces\@title}% + \ifdim\wd\titrun>\instindent + \typeout{Title too long for running head. Please supply}% + \typeout{a shorter form with \string\titlerunning\space prior to + \string\maketitle}% + \global\setbox\titrun=\hbox{\small\rm + Title Suppressed Due to Excessive Length}% + \fi + \xdef\@title{\copy\titrun}% + \fi +% + \if!\the\tocauthor!\relax + {\def\and{\noexpand\protect\noexpand\and}% + \protected@xdef\toc@uthor{\@author}}% + \else + \def\\{\noexpand\protect\noexpand\newline}% + \protected@xdef\scratch{\the\tocauthor}% + \protected@xdef\toc@uthor{\scratch}% + \fi + \addtocontents{toc}{\noexpand\protect\noexpand\authcount{\the\c@auco}}% + \addcontentsline{toc}{author}{\toc@uthor}% + \if@runhead + \if!\the\authorrunning! + \value{@inst}=\value{@auth}% + \setcounter{@auth}{1}% + \else + \edef\@author{\the\authorrunning}% + \fi + \global\setbox\authrun=\hbox{\small\unboldmath\@author\unskip}% + \ifdim\wd\authrun>\instindent + \typeout{Names of authors too long for running head. Please supply}% + \typeout{a shorter form with \string\authorrunning\space prior to + \string\maketitle}% + \global\setbox\authrun=\hbox{\small\rm + Authors Suppressed Due to Excessive Length}% + \fi + \xdef\@author{\copy\authrun}% + \markboth{\@author}{\@title}% + \fi + \endgroup + \setcounter{footnote}{\fnnstart}% + \clearheadinfo} +% +\def\@maketitle{\newpage + \markboth{}{}% + \def\lastand{\ifnum\value{@inst}=2\relax + \unskip{} \andname\ + \else + \unskip \lastandname\ + \fi}% + \def\and{\stepcounter{@auth}\relax + \ifnum\value{@auth}=\value{@inst}% + \lastand + \else + \unskip, + \fi}% + \begin{center}% + \let\newline\\ + {\Large \bfseries\boldmath + \pretolerance=10000 + \@title \par}\vskip .8cm +\if!\@subtitle!\else {\large \bfseries\boldmath + \vskip -.65cm + \pretolerance=10000 + \@subtitle \par}\vskip .8cm\fi + \setbox0=\vbox{\setcounter{@auth}{1}\def\and{\stepcounter{@auth}}% + \def\thanks##1{}\@author}% + \global\value{@inst}=\value{@auth}% + \global\value{auco}=\value{@auth}% + \setcounter{@auth}{1}% +{\lineskip .5em +\noindent\ignorespaces +\@author\vskip.35cm} + {\small\institutename} + \end{center}% + } + +% definition of the "\spnewtheorem" command. +% +% Usage: +% +% \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font} +% or \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font} +% or \spnewtheorem*{env_nam}{caption}{cap_font}{body_font} +% +% New is "cap_font" and "body_font". It stands for +% fontdefinition of the caption and the text itself. +% +% "\spnewtheorem*" gives a theorem without number. +% +% A defined spnewthoerem environment is used as described +% by Lamport. +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\def\@thmcountersep{} +\def\@thmcounterend{.} + +\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}} + +% definition of \spnewtheorem with number + +\def\@spnthm#1#2{% + \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}} +\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}} + +\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname + {\@definecounter{#1}\@addtoreset{#1}{#3}% + \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand + \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}% + \expandafter\xdef\csname #1name\endcsname{#2}% + \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}% + \global\@namedef{end#1}{\@endtheorem}}} + +\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname + {\@definecounter{#1}% + \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}% + \expandafter\xdef\csname #1name\endcsname{#2}% + \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}% + \global\@namedef{end#1}{\@endtheorem}}} + +\def\@spothm#1[#2]#3#4#5{% + \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}% + {\expandafter\@ifdefinable\csname #1\endcsname + {\global\@namedef{the#1}{\@nameuse{the#2}}% + \expandafter\xdef\csname #1name\endcsname{#3}% + \global\@namedef{#1}{\@spthm{#2}{\csname #1name\endcsname}{#4}{#5}}% + \global\@namedef{end#1}{\@endtheorem}}}} + +\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@ +\refstepcounter{#1}% +\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}} + +\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}% + \ignorespaces} + +\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname + the#1\endcsname}{#5}{#3}{#4}\ignorespaces} + +\def\@spbegintheorem#1#2#3#4{\trivlist + \item[\hskip\labelsep{#3#1\ #2\@thmcounterend}]#4} + +\def\@spopargbegintheorem#1#2#3#4#5{\trivlist + \item[\hskip\labelsep{#4#1\ #2}]{#4(#3)\@thmcounterend\ }#5} + +% definition of \spnewtheorem* without number + +\def\@sthm#1#2{\@Ynthm{#1}{#2}} + +\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname + {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}% + \expandafter\xdef\csname #1name\endcsname{#2}% + \global\@namedef{end#1}{\@endtheorem}}} + +\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@ +\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}} + +\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces} + +\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1} + {#4}{#2}{#3}\ignorespaces} + +\def\@Begintheorem#1#2#3{#3\trivlist + \item[\hskip\labelsep{#2#1\@thmcounterend}]} + +\def\@Opargbegintheorem#1#2#3#4{#4\trivlist + \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }} + +\if@envcntsect + \def\@thmcountersep{.} + \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape} +\else + \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape} + \if@envcntreset + \@addtoreset{theorem}{section} + \else + \@addtoreset{theorem}{chapter} + \fi +\fi + +%definition of divers theorem environments +\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily} +\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily} +\if@envcntsame % alle Umgebungen wie Theorem. + \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}} +\else % alle Umgebungen mit eigenem Zaehler + \if@envcntsect % mit section numeriert + \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}} + \else % nicht mit section numeriert + \if@envcntreset + \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4} + \@addtoreset{#1}{section}} + \else + \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4} + \@addtoreset{#1}{chapter}}% + \fi + \fi +\fi +\spn@wtheorem{case}{Case}{\itshape}{\rmfamily} +\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily} +\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape} +\spn@wtheorem{definition}{Definition}{\bfseries}{\itshape} +\spn@wtheorem{example}{Example}{\itshape}{\rmfamily} +\spn@wtheorem{exercise}{Exercise}{\itshape}{\rmfamily} +\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape} +\spn@wtheorem{note}{Note}{\itshape}{\rmfamily} +\spn@wtheorem{problem}{Problem}{\itshape}{\rmfamily} +\spn@wtheorem{property}{Property}{\itshape}{\rmfamily} +\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape} +\spn@wtheorem{question}{Question}{\itshape}{\rmfamily} +\spn@wtheorem{solution}{Solution}{\itshape}{\rmfamily} +\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily} + +\def\@takefromreset#1#2{% + \def\@tempa{#1}% + \let\@tempd\@elt + \def\@elt##1{% + \def\@tempb{##1}% + \ifx\@tempa\@tempb\else + \@addtoreset{##1}{#2}% + \fi}% + \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname + \expandafter\def\csname cl@#2\endcsname{}% + \@tempc + \let\@elt\@tempd} + +\def\theopargself{\def\@spopargbegintheorem##1##2##3##4##5{\trivlist + \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5} + \def\@Opargbegintheorem##1##2##3##4{##4\trivlist + \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }} + } + +\renewenvironment{abstract}{% + \list{}{\advance\topsep by0.35cm\relax\small + \leftmargin=1cm + \labelwidth=\z@ + \listparindent=\z@ + \itemindent\listparindent + \rightmargin\leftmargin}\item[\hskip\labelsep + \bfseries\abstractname]} + {\endlist} + +\newdimen\headlineindent % dimension for space between +\headlineindent=1.166cm % number and text of headings. + +\def\ps@headings{\let\@mkboth\@gobbletwo + \let\@oddfoot\@empty\let\@evenfoot\@empty + \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}% + \leftmark\hfil} + \def\@oddhead{\normalfont\small\hfil\rightmark\hspace{\headlineindent}% + \llap{\thepage}} + \def\chaptermark##1{}% + \def\sectionmark##1{}% + \def\subsectionmark##1{}} + +\def\ps@titlepage{\let\@mkboth\@gobbletwo + \let\@oddfoot\@empty\let\@evenfoot\@empty + \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}% + \hfil} + \def\@oddhead{\normalfont\small\hfil\hspace{\headlineindent}% + \llap{\thepage}} + \def\chaptermark##1{}% + \def\sectionmark##1{}% + \def\subsectionmark##1{}} + +\if@runhead\ps@headings\else +\ps@empty\fi + +\setlength\arraycolsep{1.4\p@} +\setlength\tabcolsep{1.4\p@} + +\endinput +%end of file llncs.cls diff --git a/heteropar10/camera_ready/heteropar10.tex b/heteropar10/camera_ready/heteropar10.tex index fa91744..f284cc7 100644 --- a/heteropar10/camera_ready/heteropar10.tex +++ b/heteropar10/camera_ready/heteropar10.tex @@ -24,7 +24,7 @@ \author{Raphaël Couturier, David Laiymani and Sébastien Miquée} \authorrunning{R. Couturier, D. Laiymani and S. Miquée} \institute{\vspace{-0.2cm} - University of Franche-Comté \qquad LIFC laboratory\\%[1mm] + University of Franche-Comté \qquad LIFC laboratory\\ IUT Belfort-Montb\'eliard, 2 Rue Engel Gros \\ BP 27 90016 Belfort, France\\\{{\tt raphael.couturier,david.laiymani,sebastien.miquee}\}{\tt @@ -116,24 +116,20 @@ algorithms, AIAC-QM (for \textit{AIAC Quick-quality Map}) and F-EC (for \textit{Farhat Edges-Cuts}) showed an important performances improvement by significantly reducing the application execution time. These experiments were performed by using the fully fault -tolerant JaceP2P-V2 environment, described in next section. -%This Java based platform is an executing and developing -%environment dedicated to the AIAC model. By implementing a distributed -%backup/restore mechanism it is also fully fault -%tolerant\cite{jaceP2P-v2}. -In our previous experiments we did not introduce computing nodes -failures during the computation. As architecture heterogeneity -continually evolves according to computing nodes volatility, we have -to take care more precisely about the heterogeneity of the target -platform. Thus in this paper our main contribution is to propose a new -mapping algorithm called MAHEVE (\textit{Mapping Algorithm for - HEterogeneous and Volatile Environments}). This algorithm -explicitly tackles the heterogeneity issue and introduces a level of -dynamism in order to adapt itself to the fault tolerance -mechanisms. Our experiments show gains up to $65\%$ on application -execution time, with faults during executions, which is about 10 -points better than AIAC-QM and about 25 points better than F-EC, and -MAHEVE also outperforms them in experiments with no fault during executions. +tolerant JaceP2P-V2 environment, described in next section. In our +previous experiments we did not introduce computing nodes failures +during the computation. As architecture heterogeneity continually +evolves according to computing nodes volatility, we have to take care +more precisely about the heterogeneity of the target platform. Thus in +this paper our main contribution is to propose a new mapping algorithm +called MAHEVE (\textit{Mapping Algorithm for HEterogeneous and + Volatile Environments}). This algorithm explicitly tackles the +heterogeneity issue and introduces a level of dynamism in order to +adapt itself to the fault tolerance mechanisms. Our experiments show +gains up to $65\%$ on application execution time, with faults during +executions, which is about 10 points better than AIAC-QM and about 25 +points better than F-EC, and MAHEVE also outperforms them in +experiments with no fault during executions. The rest of this paper is organized as @@ -200,10 +196,6 @@ on the JaceP2P-V2 platform, interested readers can refer to \label{sec:pbmodelapp} -%With the AIAC model, all tasks compute in parallel at the same time, -%without precedence nor synchronization. During an iteration, each task -%computes its job and sends its results to its neighbors, and -%immediately starts the next iteration. The TIG\cite{tig1} (\textit{Task Interaction Graph}) model is the most appropriate to our problem, as it only models relationships between tasks. In this model, all the tasks are considered simultaneously