From 856f104be1ac9636e82c13f72052ec7850f8be2b Mon Sep 17 00:00:00 2001 From: couturie Date: Tue, 30 Jul 2013 21:17:27 +0200 Subject: [PATCH 1/1] new version --- FirstModel.eps | 11425 ++++++++++++++++++++++++++++ FirstModel.jpg | Bin 0 -> 43474 bytes FirstModel.pdf | Bin 0 -> 41020 bytes IEEEtran.cls | 4733 ++++++++++++ SciTePress.eps | Bin 1494739 -> 0 bytes SciTePress.sty | 170 - bare_adv.tex | 1100 +++ bare_conf.aux | 105 + bare_conf.log | 1061 +++ bare_conf.out | 4 + bare_conf.pdf | Bin 0 -> 252063 bytes bare_conf.synctex.gz | Bin 0 -> 115916 bytes paperkd.tex => bare_conf.tex | 354 +- bibliocap1.bib | 1 + paperkd.blg | 47 - principles13-eps-converted-to.pdf | Bin 0 -> 57812 bytes 16 files changed, 18733 insertions(+), 267 deletions(-) create mode 100644 FirstModel.eps create mode 100644 FirstModel.jpg create mode 100644 FirstModel.pdf create mode 100755 IEEEtran.cls delete mode 100644 SciTePress.eps delete mode 100644 SciTePress.sty create mode 100755 bare_adv.tex create mode 100644 bare_conf.aux create mode 100644 bare_conf.log create mode 100644 bare_conf.out create mode 100644 bare_conf.pdf create mode 100644 bare_conf.synctex.gz rename paperkd.tex => bare_conf.tex (66%) mode change 100644 => 100755 delete mode 100644 paperkd.blg create mode 100644 principles13-eps-converted-to.pdf diff --git a/FirstModel.eps b/FirstModel.eps new file mode 100644 index 0000000..5487476 --- /dev/null +++ b/FirstModel.eps @@ -0,0 +1,11425 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (ImageMagick) +%%Title: (FirstModel.eps) +%%CreationDate: (2013-07-30T13:24:52+02:00) +%%BoundingBox: -0 -0 584 140 +%%HiResBoundingBox: 0 0 584.25 140 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. The image is displayed in color on +% Postscript viewers or printers that support color, otherwise +% it is displayed as grayscale. +% +/DirectClassPacket +{ + % + % Get a DirectClass packet. + % + % Parameters: + % red. + % green. + % blue. + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/DirectClassImage +{ + % + % Display a DirectClass image. + % + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { DirectClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayDirectClassPacket } image + } ifelse +} bind def + +/GrayDirectClassPacket +{ + % + % Get a DirectClass packet; convert to grayscale. + % + % Parameters: + % red + % green + % blue + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/GrayPseudoClassPacket +{ + % + % Get a PseudoClass packet; convert to grayscale. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassPacket +{ + % + % Get a PseudoClass packet. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassImage +{ + % + % Display a PseudoClass image. + % + % Parameters: + % class: 0-PseudoClass or 1-Grayscale. + % + currentfile buffer readline pop + token pop /class exch def pop + class 0 gt + { + currentfile buffer readline pop + token pop /depth exch def pop + /grays columns 8 add depth sub depth mul 8 idiv string def + columns rows depth + [ + columns 0 0 + rows neg 0 rows + ] + { currentfile grays readhexstring pop } image + } + { + % + % Parameters: + % colors: number of colors in the colormap. + % colormap: red, green, blue color packets. + % + currentfile buffer readline pop + token pop /colors exch def pop + /colors colors 3 mul def + /colormap colors string def + currentfile colormap readhexstring pop pop + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { PseudoClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayPseudoClassPacket } image + } ifelse + } ifelse +} bind def + +/DisplayImage +{ + % + % Display a DirectClass or PseudoClass image. + % + % Parameters: + % x & y translation. + % x & y scale. + % label pointsize. + % image label. + % image columns & rows. + % class: 0-DirectClass or 1-PseudoClass. + % compression: 0-none or 1-RunlengthEncoded. + % hex color packets. + % + gsave + /buffer 512 string def + /byte 1 string def + /color_packet 3 string def + /pixels 768 string def + + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + x y translate + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + currentfile buffer readline pop + token pop /pointsize exch def pop + /Times-Roman findfont pointsize scalefont setfont + x y scale + currentfile buffer readline pop + token pop /columns exch def + token pop /rows exch def pop + currentfile buffer readline pop + token pop /class exch def pop + currentfile buffer readline pop + token pop /compression exch def pop + class 0 gt 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labelindentfactor for this level + \advance\@listdepth\@ne% we need to know what the level WILL be + \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}% + \advance\@listdepth-\@ne% undo our increment + \def\@IEEEiedjustify{2}% right justified labels are default + % set other defaults + \IEEEnocalcleftmarginfalse% + \IEEEnolabelindentfactorfalse% + \topsep\IEEEiedtopsep% + \IEEElabelindent\IEEEilabelindent% + \labelsep\IEEEiednormlabelsep% + \partopsep 0ex% + \parsep 0ex% + \itemsep \parskip% + \rightmargin 0em% + \listparindent 0em% + \itemindent 0em% + % calculate the label width + % the user can override this later if + % they specified a \labelwidth + \settowidth{\labelwidth}{\csname labelitem\romannumeral\the\@itemdepth\endcsname}% + \@IEEEsavelistparams% save our list parameters + \list{\csname\@itemitem\endcsname}{% + \@IEEErestorelistparams% override any list{} changes + % to our globals + \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel + \IEEEiedlistdecl% let user alter parameters + #1\relax% + % If the user has requested not to use the + % labelindent factor, don't revise \labelindent + \ifIEEEnolabelindentfactor\relax% + \else\IEEElabelindent=\IEEElabelindentfactor\labelindent% + \fi% + % Unless the user has requested otherwise, + % calculate our left margin based + % on \IEEElabelindent, \labelwidth and + % \labelsep + \ifIEEEnocalcleftmargin\relax% + \else\IEEEcalcleftmargin{\IEEElabelindent}% + \fi}\fi\fi}% + + +% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS +% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS +% IEEEtran enumerate list MDS 1/2001 +% Note controlled spacing here, shield end of lines with % +\def\@@IEEEenumerate[#1]{% + \ifnum\@enumdepth>3\relax\@toodeep\else% + \ifnum\@listdepth>5\relax\@toodeep\else% + \advance\@enumdepth\@ne% + \edef\@enumctr{enum\romannumeral\the\@enumdepth}% + % get the labelindentfactor for this level + \advance\@listdepth\@ne% we need to know what the level WILL be + \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}% + \advance\@listdepth-\@ne% undo our increment + \def\@IEEEiedjustify{2}% right justified labels are default + % set other defaults + \IEEEnocalcleftmarginfalse% + \IEEEnolabelindentfactorfalse% + \topsep\IEEEiedtopsep% + \IEEElabelindent\IEEEelabelindent% + \labelsep\IEEEiednormlabelsep% + \partopsep 0ex% + \parsep 0ex% + \itemsep 0ex% + \rightmargin 0em% + \listparindent 0em% + \itemindent 0em% + % calculate the label width + % We'll set it to the width suitable for all labels using + % normalfont 1) to 9) + % The user can override this later + \settowidth{\labelwidth}{9)}% + \@IEEEsavelistparams% save our list parameters + \list{\csname label\@enumctr\endcsname}{\usecounter{\@enumctr}% + \@IEEErestorelistparams% override any list{} changes + % to our globals + \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel + \IEEEiedlistdecl% let user alter parameters + #1\relax% + % If the user has requested not to use the + % IEEElabelindent factor, don't revise \IEEElabelindent + \ifIEEEnolabelindentfactor\relax% + \else\IEEElabelindent=\IEEElabelindentfactor\IEEElabelindent% + \fi% + % Unless the user has requested otherwise, + % calculate our left margin based + % on \IEEElabelindent, \labelwidth and + % \labelsep + \ifIEEEnocalcleftmargin\relax% + \else\IEEEcalcleftmargin{\IEEElabelindent}% + \fi}\fi\fi}% + + +% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS +% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS +% IEEEtran description list MDS 1/2001 +% Note controlled spacing here, shield end of lines with % +\def\@@IEEEdescription[#1]{% + \ifnum\@listdepth>5\relax\@toodeep\else% + % get the labelindentfactor for this level + \advance\@listdepth\@ne% we need to know what the level WILL be + \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}% + \advance\@listdepth-\@ne% undo our increment + \def\@IEEEiedjustify{0}% left justified labels are default + % set other defaults + \IEEEnocalcleftmarginfalse% + \IEEEnolabelindentfactorfalse% + \topsep\IEEEiedtopsep% + \IEEElabelindent\IEEEdlabelindent% + % assume normal labelsep + \labelsep\IEEEiednormlabelsep% + \partopsep 0ex% + \parsep 0ex% + \itemsep 0ex% + \rightmargin 0em% + \listparindent 0em% + \itemindent 0em% + % Bogus label width in case the user forgets + % to set it. + % TIP: If you want to see what a variable's width is you + % can use the TeX command \showthe\width-variable to + % display it on the screen during compilation + % (This might be helpful to know when you need to find out + % which label is the widest) + \settowidth{\labelwidth}{Hello}% + \@IEEEsavelistparams% save our list parameters + \list{}{\@IEEErestorelistparams% override any list{} changes + % to our globals + \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel + \IEEEiedlistdecl% let user alter parameters + #1\relax% + % If the user has requested not to use the + % labelindent factor, don't revise \IEEElabelindent + \ifIEEEnolabelindentfactor\relax% + \else\IEEElabelindent=\IEEElabelindentfactor\IEEElabelindent% + \fi% + % Unless the user has requested otherwise, + % calculate our left margin based + % on \IEEElabelindent, \labelwidth and + % \labelsep + \ifIEEEnocalcleftmargin\relax% + \else\IEEEcalcleftmargin{\IEEElabelindent}\relax% + \fi}\fi} + +% v1.6b we use one makelabel that does justification as needed. +\def\@IEEEiedmakelabel#1{\relax\if\@IEEEiedjustify 0\relax +\makebox[\labelwidth][l]{\normalfont #1}\else +\if\@IEEEiedjustify 1\relax +\makebox[\labelwidth][c]{\normalfont #1}\else +\makebox[\labelwidth][r]{\normalfont #1}\fi\fi} + + +% VERSE and QUOTE +% V1.7 define environments with newenvironment +\newenvironment{verse}{\let\\=\@centercr + \list{}{\itemsep\z@ \itemindent -1.5em \listparindent \itemindent + \rightmargin\leftmargin\advance\leftmargin 1.5em}\item\relax} + {\endlist} +\newenvironment{quotation}{\list{}{\listparindent 1.5em \itemindent\listparindent + \rightmargin\leftmargin \parsep 0pt plus 1pt}\item\relax} + {\endlist} +\newenvironment{quote}{\list{}{\rightmargin\leftmargin}\item\relax} + {\endlist} + + +% \titlepage +% provided only for backward compatibility. \maketitle is the correct +% way to create the title page. +\newif\if@restonecol +\def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn + \else \newpage \fi \thispagestyle{empty}\c@page\z@} +\def\endtitlepage{\if@restonecol\twocolumn \else \newpage \fi} + +% standard values from article.cls +\arraycolsep 5pt +\arrayrulewidth .4pt +\doublerulesep 2pt + +\tabcolsep 6pt +\tabbingsep 0.5em + + +%% FOOTNOTES +% +%\skip\footins 10pt plus 4pt minus 2pt +% V1.6 respond to changes in font size +% space added above the footnotes (if present) +\skip\footins 0.9\baselineskip plus 0.4\baselineskip minus 0.2\baselineskip + +% V1.6, we need to make \footnotesep responsive to changes +% in \baselineskip or strange spacings will result when in +% draft mode. Here is a little LaTeX secret - \footnotesep +% determines the height of an invisible strut that is placed +% *above* the baseline of footnotes after the first. Since +% LaTeX considers the space for characters to be 0.7/baselineskip +% above the baseline and 0.3/baselineskip below it, we need to +% use 0.7/baselineskip as a \footnotesep to maintain equal spacing +% between all the lines of the footnotes. IEEE often uses a tad +% more, so use 0.8\baselineskip. This slightly larger value also helps +% the text to clear the footnote marks. Note that \thanks in IEEEtran +% uses its own value of \footnotesep which is set in \maketitle. +{\footnotesize +\global\footnotesep 0.8\baselineskip} + +\def\unnumberedfootnote{\gdef\@thefnmark{\quad}\@footnotetext} + +\skip\@mpfootins 0.3\baselineskip +\fboxsep = 3pt +\fboxrule = .4pt +% V1.6 use 1em, then use LaTeX2e's \@makefnmark +% Note that IEEE normally *left* aligns the footnote marks, so we don't need +% box resizing tricks here. +%\long\def\@makefnmark{\scriptsize\normalfont\@thefnmark} +\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@makefnmark}#1}% V1.6 use 1em +\long\def\@maketablefntext#1{\raggedleft\leavevmode\hbox{\@makefnmark}#1} +% V1.7 compsoc does not use superscipts for footnote marks +\ifCLASSOPTIONcompsoc +\def\@IEEEcompsocmakefnmark{\hbox{\normalfont\@thefnmark.\ }} +\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@IEEEcompsocmakefnmark}#1} +\fi + +% IEEE does not use footnote rules. Or do they? +\def\footnoterule{\vskip-2pt \hrule height 0.6pt depth \z@ \vskip1.6pt\relax} +\toks@\expandafter{\@setminipage\let\footnoterule\relax\footnotesep\z@} +\edef\@setminipage{\the\toks@} + +% V1.7 for compsoc, IEEE uses a footnote rule only for \thanks. We devise a "one-shot" +% system to implement this. +\newif\if@IEEEenableoneshotfootnoterule +\@IEEEenableoneshotfootnoterulefalse +\ifCLASSOPTIONcompsoc +\def\footnoterule{\relax\if@IEEEenableoneshotfootnoterule +\kern-5pt +\hbox to \columnwidth{\hfill\vrule width 0.5\columnwidth height 0.4pt\hfill} +\kern4.6pt +\global\@IEEEenableoneshotfootnoterulefalse +\else +\relax +\fi} +\fi + +% V1.6 do not allow LaTeX to break a footnote across multiple pages +\interfootnotelinepenalty=10000 + +% V1.6 discourage breaks within equations +% Note that amsmath normally sets this to 10000, +% but LaTeX2e normally uses 100. +\interdisplaylinepenalty=2500 + +% default allows section depth up to /paragraph +\setcounter{secnumdepth}{4} + +% technotes do not allow /paragraph +\ifCLASSOPTIONtechnote + \setcounter{secnumdepth}{3} +\fi +% neither do compsoc conferences +\@IEEEcompsocconfonly{\setcounter{secnumdepth}{3}} + + +\newcounter{section} +\newcounter{subsection}[section] +\newcounter{subsubsection}[subsection] +\newcounter{paragraph}[subsubsection] + +% used only by IEEEtran's IEEEeqnarray as other packages may +% have their own, different, implementations +\newcounter{IEEEsubequation}[equation] + +% as shown when called by user from \ref, \label and in table of contents +\def\theequation{\arabic{equation}} % 1 +\def\theIEEEsubequation{\theequation\alph{IEEEsubequation}} % 1a (used only by IEEEtran's IEEEeqnarray) +\ifCLASSOPTIONcompsoc +% compsoc is all arabic +\def\thesection{\arabic{section}} +\def\thesubsection{\thesection.\arabic{subsection}} +\def\thesubsubsection{\thesubsection.\arabic{subsubsection}} +\def\theparagraph{\thesubsubsection.\arabic{paragraph}} +\else +\def\thesection{\Roman{section}} % I +% V1.7, \mbox prevents breaks around - +\def\thesubsection{\mbox{\thesection-\Alph{subsection}}} % I-A +% V1.7 use I-A1 format used by IEEE rather than I-A.1 +\def\thesubsubsection{\thesubsection\arabic{subsubsection}} % I-A1 +\def\theparagraph{\thesubsubsection\alph{paragraph}} % I-A1a +\fi + +% From Heiko Oberdiek. Because of the \mbox in \thesubsection, we need to +% tell hyperref to disable the \mbox command when making PDF bookmarks. +% This done already with hyperref.sty version 6.74o and later, but +% it will not hurt to do it here again for users of older versions. +\@ifundefined{pdfstringdefPreHook}{\let\pdfstringdefPreHook\@empty}{}% +\g@addto@macro\pdfstringdefPreHook{\let\mbox\relax} + + +% Main text forms (how shown in main text headings) +% V1.6, using \thesection in \thesectiondis allows changes +% in the former to automatically appear in the latter +\ifCLASSOPTIONcompsoc + \ifCLASSOPTIONconference% compsoc conference + \def\thesectiondis{\thesection.} + \def\thesubsectiondis{\thesectiondis\arabic{subsection}.} + \def\thesubsubsectiondis{\thesubsectiondis\arabic{subsubsection}.} + \def\theparagraphdis{\thesubsubsectiondis\arabic{paragraph}.} + \else% compsoc not conferencs + \def\thesectiondis{\thesection} + \def\thesubsectiondis{\thesectiondis.\arabic{subsection}} + \def\thesubsubsectiondis{\thesubsectiondis.\arabic{subsubsection}} + \def\theparagraphdis{\thesubsubsectiondis.\arabic{paragraph}} + \fi +\else% not compsoc + \def\thesectiondis{\thesection.} % I. + \def\thesubsectiondis{\Alph{subsection}.} % B. + \def\thesubsubsectiondis{\arabic{subsubsection})} % 3) + \def\theparagraphdis{\alph{paragraph})} % d) +\fi + +% just like LaTeX2e's \@eqnnum +\def\theequationdis{{\normalfont \normalcolor (\theequation)}}% (1) +% IEEEsubequation used only by IEEEtran's IEEEeqnarray +\def\theIEEEsubequationdis{{\normalfont \normalcolor (\theIEEEsubequation)}}% (1a) +% redirect LaTeX2e's equation number display and all that depend on +% it, through IEEEtran's \theequationdis +\def\@eqnnum{\theequationdis} + + + +% V1.7 provide string macros as article.cls does +\def\contentsname{Contents} +\def\listfigurename{List of Figures} +\def\listtablename{List of Tables} +\def\refname{References} +\def\indexname{Index} +\def\figurename{Fig.} +\def\tablename{TABLE} +\@IEEEcompsocconfonly{\def\figurename{Figure}\def\tablename{Table}} +\def\partname{Part} +\def\appendixname{Appendix} +\def\abstractname{Abstract} +% IEEE specific names +\def\IEEEkeywordsname{Keywords} +\def\IEEEproofname{Proof} + + +% LIST OF FIGURES AND TABLES AND TABLE OF CONTENTS +% +\def\@pnumwidth{1.55em} +\def\@tocrmarg{2.55em} +\def\@dotsep{4.5} +\setcounter{tocdepth}{3} + +% adjusted some spacings here so that section numbers will not easily +% collide with the section titles. +% VIII; VIII-A; and VIII-A.1 are usually the worst offenders. +% MDS 1/2001 +\def\tableofcontents{\section*{\contentsname}\@starttoc{toc}} +\def\l@section#1#2{\addpenalty{\@secpenalty}\addvspace{1.0em plus 1pt}% + \@tempdima 2.75em \begingroup \parindent \z@ \rightskip \@pnumwidth% + \parfillskip-\@pnumwidth {\bfseries\leavevmode #1}\hfil\hbox to\@pnumwidth{\hss #2}\par% + \endgroup} +% argument format #1:level, #2:labelindent,#3:labelsep +\def\l@subsection{\@dottedtocline{2}{2.75em}{3.75em}} +\def\l@subsubsection{\@dottedtocline{3}{6.5em}{4.5em}} +% must provide \l@ defs for ALL sublevels EVEN if tocdepth +% is such as they will not appear in the table of contents +% these defs are how TOC knows what level these things are! +\def\l@paragraph{\@dottedtocline{4}{6.5em}{5.5em}} +\def\l@subparagraph{\@dottedtocline{5}{6.5em}{6.5em}} +\def\listoffigures{\section*{\listfigurename}\@starttoc{lof}} +\def\l@figure{\@dottedtocline{1}{0em}{2.75em}} +\def\listoftables{\section*{\listtablename}\@starttoc{lot}} +\let\l@table\l@figure + + +%% Definitions for floats +%% +%% Normal Floats +\floatsep 1\baselineskip plus 0.2\baselineskip minus 0.2\baselineskip +\textfloatsep 1.7\baselineskip plus 0.2\baselineskip minus 0.4\baselineskip +\@fptop 0pt plus 1fil +\@fpsep 0.75\baselineskip plus 2fil +\@fpbot 0pt plus 1fil +\def\topfraction{0.9} +\def\bottomfraction{0.4} +\def\floatpagefraction{0.8} +% V1.7, let top floats approach 90% of page +\def\textfraction{0.1} + +%% Double Column Floats +\dblfloatsep 1\baselineskip plus 0.2\baselineskip minus 0.2\baselineskip + +\dbltextfloatsep 1.7\baselineskip plus 0.2\baselineskip minus 0.4\baselineskip +% Note that it would be nice if the rubber here actually worked in LaTeX2e. +% There is a long standing limitation in LaTeX, first discovered (to the best +% of my knowledge) by Alan Jeffrey in 1992. LaTeX ignores the stretchable +% portion of \dbltextfloatsep, and as a result, double column figures can and +% do result in an non-integer number of lines in the main text columns with +% underfull vbox errors as a consequence. A post to comp.text.tex +% by Donald Arseneau confirms that this had not yet been fixed in 1998. +% IEEEtran V1.6 will fix this problem for you in the titles, but it doesn't +% protect you from other double floats. Happy vspace'ing. + +\@dblfptop 0pt plus 1fil +\@dblfpsep 0.75\baselineskip plus 2fil +\@dblfpbot 0pt plus 1fil +\def\dbltopfraction{0.8} +\def\dblfloatpagefraction{0.8} +\setcounter{dbltopnumber}{4} + +\intextsep 1\baselineskip plus 0.2\baselineskip minus 0.2\baselineskip +\setcounter{topnumber}{2} +\setcounter{bottomnumber}{2} +\setcounter{totalnumber}{4} + + + +% article class provides these, we should too. +\newlength\abovecaptionskip +\newlength\belowcaptionskip +% but only \abovecaptionskip is used above figure captions and *below* table +% captions +\setlength\abovecaptionskip{0.65\baselineskip} +\setlength\belowcaptionskip{0.75\baselineskip} +% V1.6 create hooks in case the caption spacing ever needs to be +% overridden by a user +\def\@IEEEfigurecaptionsepspace{\vskip\abovecaptionskip\relax}% +\def\@IEEEtablecaptionsepspace{\vskip\belowcaptionskip\relax}% + + +% 1.6b revise caption system so that \@makecaption uses two arguments +% as with LaTeX2e. Otherwise, there will be problems when using hyperref. +\def\@IEEEtablestring{table} + +\ifCLASSOPTIONcompsoc +% V1.7 compsoc \@makecaption +\ifCLASSOPTIONconference% compsoc conference +\long\def\@makecaption#1#2{% +% test if is a for a figure or table +\ifx\@captype\@IEEEtablestring% +% if a table, do table caption +\normalsize\begin{center}{\normalfont\sffamily\normalsize {#1.}~ #2}\end{center}% +\@IEEEtablecaptionsepspace +% if not a table, format it as a figure +\else +\@IEEEfigurecaptionsepspace +\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ #2}% +\ifdim \wd\@tempboxa >\hsize% +% if caption is longer than a line, let it wrap around +\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ }% +\parbox[t]{\hsize}{\normalfont\sffamily\normalsize \noindent\unhbox\@tempboxa#2}% +% if caption is shorter than a line, center +\else% +\hbox to\hsize{\normalfont\sffamily\normalsize\hfil\box\@tempboxa\hfil}% +\fi\fi} +\else% nonconference compsoc +\long\def\@makecaption#1#2{% +% test if is a for a figure or table +\ifx\@captype\@IEEEtablestring% +% if a table, do table caption +\normalsize\begin{center}{\normalfont\sffamily\normalsize #1}\\{\normalfont\sffamily\normalsize #2}\end{center}% +\@IEEEtablecaptionsepspace +% if not a table, format it as a figure +\else +\@IEEEfigurecaptionsepspace +\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ #2}% +\ifdim \wd\@tempboxa >\hsize% +% if caption is longer than a line, let it wrap around +\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ }% +\parbox[t]{\hsize}{\normalfont\sffamily\normalsize \noindent\unhbox\@tempboxa#2}% +% if caption is shorter than a line, left justify +\else% +\hbox to\hsize{\normalfont\sffamily\normalsize\box\@tempboxa\hfil}% +\fi\fi} +\fi + +\else% traditional noncompsoc \@makecaption +\long\def\@makecaption#1#2{% +% test if is a for a figure or table +\ifx\@captype\@IEEEtablestring% +% if a table, do table caption +\footnotesize{\centering\normalfont\footnotesize#1.\qquad\scshape #2\par}% +\@IEEEtablecaptionsepspace +% if not a table, format it as a figure +\else +\@IEEEfigurecaptionsepspace +% 3/2001 use footnotesize, not small; use two nonbreaking spaces, not one +\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}~~ #2}% +\ifdim \wd\@tempboxa >\hsize% +% if caption is longer than a line, let it wrap around +\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}~~ }% +\parbox[t]{\hsize}{\normalfont\footnotesize\noindent\unhbox\@tempboxa#2}% +% if caption is shorter than a line, center if conference, left justify otherwise +\else% +\ifCLASSOPTIONconference \hbox to\hsize{\normalfont\footnotesize\box\@tempboxa\hfil}% +\else \hbox to\hsize{\normalfont\footnotesize\box\@tempboxa\hfil}% +\fi\fi\fi} +\fi + + + +% V1.7 disable captions class option, do so in a way that retains operation of \label +% within \caption +\ifCLASSOPTIONcaptionsoff +\long\def\@makecaption#1#2{\vspace*{2em}\footnotesize\begin{center}{\footnotesize #1}\end{center}% +\let\@IEEEtemporiglabeldefsave\label +\let\@IEEEtemplabelargsave\relax +\def\label##1{\gdef\@IEEEtemplabelargsave{##1}}% +\setbox\@tempboxa\hbox{#2}% +\let\label\@IEEEtemporiglabeldefsave +\ifx\@IEEEtemplabelargsave\relax\else\label{\@IEEEtemplabelargsave}\fi} +\fi + + +% V1.7 define end environments with \def not \let so as to work OK with +% preview-latex +\newcounter{figure} +\def\thefigure{\@arabic\c@figure} +\def\fps@figure{tbp} +\def\ftype@figure{1} +\def\ext@figure{lof} +\def\fnum@figure{\figurename~\thefigure} +\def\figure{\@float{figure}} +\def\endfigure{\end@float} +\@namedef{figure*}{\@dblfloat{figure}} +\@namedef{endfigure*}{\end@dblfloat} +\newcounter{table} +\ifCLASSOPTIONcompsoc +\def\thetable{\arabic{table}} +\else +\def\thetable{\@Roman\c@table} +\fi +\def\fps@table{tbp} +\def\ftype@table{2} +\def\ext@table{lot} +\def\fnum@table{\tablename~\thetable} +% V1.6 IEEE uses 8pt text for tables +% to default to footnotesize, we hack into LaTeX2e's \@floatboxreset and pray +\def\table{\def\@floatboxreset{\reset@font\scriptsize\@setminipage}% + \let\@makefntext\@maketablefntext + \@float{table}} +\def\endtable{\end@float} +% v1.6b double column tables need to default to footnotesize as well. +\@namedef{table*}{\def\@floatboxreset{\reset@font\scriptsize\@setminipage}\@dblfloat{table}} +\@namedef{endtable*}{\end@dblfloat} + + + + +%% +%% START OF IEEEeqnarry DEFINITIONS +%% +%% Inspired by the concepts, examples, and previous works of LaTeX +%% coders and developers such as Donald Arseneau, Fred Bartlett, +%% David Carlisle, Tony Liu, Frank Mittelbach, Piet van Oostrum, +%% Roland Winkler and Mark Wooding. +%% I don't make the claim that my work here is even near their calibre. ;) + + +% hook to allow easy changeover to IEEEtran.cls/tools.sty error reporting +\def\@IEEEclspkgerror{\ClassError{IEEEtran}} + +\newif\if@IEEEeqnarraystarform% flag to indicate if the environment was called as the star form +\@IEEEeqnarraystarformfalse + +\newif\if@advanceIEEEeqncolcnt% tracks if the environment should advance the col counter +% allows a way to make an \IEEEeqnarraybox that can be used within an \IEEEeqnarray +% used by IEEEeqnarraymulticol so that it can work properly in both +\@advanceIEEEeqncolcnttrue + +\newcount\@IEEEeqnnumcols % tracks how many IEEEeqnarray cols are defined +\newcount\@IEEEeqncolcnt % tracks how many IEEEeqnarray cols the user actually used + + +% The default math style used by the columns +\def\IEEEeqnarraymathstyle{\displaystyle} +% The default text style used by the columns +% default to using the current font +\def\IEEEeqnarraytextstyle{\relax} + +% like the iedlistdecl but for \IEEEeqnarray +\def\IEEEeqnarraydecl{\relax} +\def\IEEEeqnarrayboxdecl{\relax} + +% \yesnumber is the opposite of \nonumber +% a novel concept with the same def as the equationarray package +% However, we give IEEE versions too since some LaTeX packages such as +% the MDWtools mathenv.sty redefine \nonumber to something else. +\providecommand{\yesnumber}{\global\@eqnswtrue} +\def\IEEEyesnumber{\global\@eqnswtrue} +\def\IEEEnonumber{\global\@eqnswfalse} + + +\def\IEEEyessubnumber{\global\@IEEEissubequationtrue\global\@eqnswtrue% +\if@IEEEeqnarrayISinner% only do something inside an IEEEeqnarray +\if@IEEElastlinewassubequation\addtocounter{equation}{-1}\else\setcounter{IEEEsubequation}{1}\fi% +\def\@currentlabel{\p@IEEEsubequation\theIEEEsubequation}\fi} + +% flag to indicate that an equation is a sub equation +\newif\if@IEEEissubequation% +\@IEEEissubequationfalse + +% allows users to "push away" equations that get too close to the equation numbers +\def\IEEEeqnarraynumspace{\hphantom{\if@IEEEissubequation\theIEEEsubequationdis\else\theequationdis\fi}} + +% provides a way to span multiple columns within IEEEeqnarray environments +% will consider \if@advanceIEEEeqncolcnt before globally advancing the +% column counter - so as to work within \IEEEeqnarraybox +% usage: \IEEEeqnarraymulticol{number cols. to span}{col type}{cell text} +\long\def\IEEEeqnarraymulticol#1#2#3{\multispan{#1}% +% check if column is defined +\relax\expandafter\ifx\csname @IEEEeqnarraycolDEF#2\endcsname\@IEEEeqnarraycolisdefined% +\csname @IEEEeqnarraycolPRE#2\endcsname#3\relax\relax\relax\relax\relax% +\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST#2\endcsname% +\else% if not, error and use default type +\@IEEEclspkgerror{Invalid column type "#2" in \string\IEEEeqnarraymulticol.\MessageBreak +Using a default centering column instead}% +{You must define IEEEeqnarray column types before use.}% +\csname @IEEEeqnarraycolPRE@IEEEdefault\endcsname#3\relax\relax\relax\relax\relax% +\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST@IEEEdefault\endcsname% +\fi% +% advance column counter only if the IEEEeqnarray environment wants it +\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by #1\relax\fi} + +% like \omit, but maintains track of the column counter for \IEEEeqnarray +\def\IEEEeqnarrayomit{\omit\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by 1\relax\fi} + + +% provides a way to define a letter referenced column type +% usage: \IEEEeqnarraydefcol{col. type letter/name}{pre insertion text}{post insertion text} +\def\IEEEeqnarraydefcol#1#2#3{\expandafter\def\csname @IEEEeqnarraycolPRE#1\endcsname{#2}% +\expandafter\def\csname @IEEEeqnarraycolPOST#1\endcsname{#3}% +\expandafter\def\csname @IEEEeqnarraycolDEF#1\endcsname{1}} + + +% provides a way to define a numerically referenced inter-column glue types +% usage: \IEEEeqnarraydefcolsep{col. glue number}{glue definition} +\def\IEEEeqnarraydefcolsep#1#2{\expandafter\def\csname @IEEEeqnarraycolSEP\romannumeral #1\endcsname{#2}% +\expandafter\def\csname @IEEEeqnarraycolSEPDEF\romannumeral #1\endcsname{1}} + + +\def\@IEEEeqnarraycolisdefined{1}% just a macro for 1, used for checking undefined column types + + +% expands and appends the given argument to the \@IEEEtrantmptoksA token list +% used to build up the \halign preamble +\def\@IEEEappendtoksA#1{\edef\@@IEEEappendtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA #1}}% +\@@IEEEappendtoksA} + +% also appends to \@IEEEtrantmptoksA, but does not expand the argument +% uses \toks8 as a scratchpad register +\def\@IEEEappendNOEXPANDtoksA#1{\toks8={#1}% +\edef\@@IEEEappendNOEXPANDtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA\the\toks8}}% +\@@IEEEappendNOEXPANDtoksA} + +% define some common column types for the user +% math +\IEEEeqnarraydefcol{l}{$\IEEEeqnarraymathstyle}{$\hfil} +\IEEEeqnarraydefcol{c}{\hfil$\IEEEeqnarraymathstyle}{$\hfil} +\IEEEeqnarraydefcol{r}{\hfil$\IEEEeqnarraymathstyle}{$} +\IEEEeqnarraydefcol{L}{$\IEEEeqnarraymathstyle{}}{{}$\hfil} +\IEEEeqnarraydefcol{C}{\hfil$\IEEEeqnarraymathstyle{}}{{}$\hfil} +\IEEEeqnarraydefcol{R}{\hfil$\IEEEeqnarraymathstyle{}}{{}$} +% text +\IEEEeqnarraydefcol{s}{\IEEEeqnarraytextstyle}{\hfil} +\IEEEeqnarraydefcol{t}{\hfil\IEEEeqnarraytextstyle}{\hfil} +\IEEEeqnarraydefcol{u}{\hfil\IEEEeqnarraytextstyle}{} + +% vertical rules +\IEEEeqnarraydefcol{v}{}{\vrule width\arrayrulewidth} +\IEEEeqnarraydefcol{vv}{\vrule width\arrayrulewidth\hfil}{\hfil\vrule width\arrayrulewidth} +\IEEEeqnarraydefcol{V}{}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth} +\IEEEeqnarraydefcol{VV}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth\hfil}% +{\hfil\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth} + +% horizontal rules +\IEEEeqnarraydefcol{h}{}{\leaders\hrule height\arrayrulewidth\hfil} +\IEEEeqnarraydefcol{H}{}{\leaders\vbox{\hrule width\arrayrulewidth\vskip\doublerulesep\hrule width\arrayrulewidth}\hfil} + +% plain +\IEEEeqnarraydefcol{x}{}{} +\IEEEeqnarraydefcol{X}{$}{$} + +% the default column type to use in the event a column type is not defined +\IEEEeqnarraydefcol{@IEEEdefault}{\hfil$\IEEEeqnarraymathstyle}{$\hfil} + + +% a zero tabskip (used for "-" col types) +\def\@IEEEeqnarraycolSEPzero{0pt plus 0pt minus 0pt} +% a centering tabskip (used for "+" col types) +\def\@IEEEeqnarraycolSEPcenter{1000pt plus 0pt minus 1000pt} + +% top level default tabskip glues for the start, end, and inter-column +% may be reset within environments not always at the top level, e.g., \IEEEeqnarraybox +\edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPcenter}% default start glue +\edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPcenter}% default end glue +\edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue + + + +% creates a vertical rule that extends from the bottom to the top a a cell +% Provided in case other packages redefine \vline some other way. +% usage: \IEEEeqnarrayvrule[rule thickness] +% If no argument is provided, \arrayrulewidth will be used for the rule thickness. +\newcommand\IEEEeqnarrayvrule[1][\arrayrulewidth]{\vrule\@width#1\relax} + +% creates a blank separator row +% usage: \IEEEeqnarrayseprow[separation length][font size commands] +% default is \IEEEeqnarrayseprow[0.25\normalbaselineskip][\relax] +% blank arguments inherit the default values +% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers +\def\IEEEeqnarrayseprow{\relax\@ifnextchar[{\@IEEEeqnarrayseprow}{\@IEEEeqnarrayseprow[0.25\normalbaselineskip]}} +\def\@IEEEeqnarrayseprow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprow[#1]}{\@@IEEEeqnarrayseprow[#1][\relax]}} +\def\@@IEEEeqnarrayseprow[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}% +\ifx\@IEEEeqnarrayseprowARGONE\@empty% +% get the skip value, based on the font commands +% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3 +% assign within a bogus box to confine the font changes +{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}% +\else% +{\setbox0=\hbox{#2\relax\global\skip5=#1}}% +\fi% +\@IEEEeqnarrayhoptolastcolumn\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax} + +% creates a blank separator row, but omits all the column templates +% usage: \IEEEeqnarrayseprowcut[separation length][font size commands] +% default is \IEEEeqnarrayseprowcut[0.25\normalbaselineskip][\relax] +% blank arguments inherit the default values +% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers +\def\IEEEeqnarrayseprowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols +% advance column counter only if the IEEEeqnarray environment wants it +\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi% +\@ifnextchar[{\@IEEEeqnarrayseprowcut}{\@IEEEeqnarrayseprowcut[0.25\normalbaselineskip]}} +\def\@IEEEeqnarrayseprowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprowcut[#1]}{\@@IEEEeqnarrayseprowcut[#1][\relax]}} +\def\@@IEEEeqnarrayseprowcut[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}% +\ifx\@IEEEeqnarrayseprowARGONE\@empty% +% get the skip value, based on the font commands +% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3 +% assign within a bogus box to confine the font changes +{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}% +\else% +{\setbox0=\hbox{#2\relax\global\skip5=#1}}% +\fi% +\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax} + + + +% draws a single rule across all the columns optional +% argument determines the rule width, \arrayrulewidth is the default +% updates column counter as needed and turns off struts +% usage: \IEEEeqnarrayrulerow[rule line thickness] +\def\IEEEeqnarrayrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols +% advance column counter only if the IEEEeqnarray environment wants it +\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi% +\@ifnextchar[{\@IEEEeqnarrayrulerow}{\@IEEEeqnarrayrulerow[\arrayrulewidth]}} +\def\@IEEEeqnarrayrulerow[#1]{\leaders\hrule height#1\hfil\relax% put in our rule +% turn off any struts +\IEEEeqnarraystrutsize{0pt}{0pt}[\relax]\relax} + + +% draws a double rule by using a single rule row, a separator row, and then +% another single rule row +% first optional argument determines the rule thicknesses, \arrayrulewidth is the default +% second optional argument determines the rule spacing, \doublerulesep is the default +% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing] +\def\IEEEeqnarraydblrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols +% advance column counter only if the IEEEeqnarray environment wants it +\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi% +\@ifnextchar[{\@IEEEeqnarraydblrulerow}{\@IEEEeqnarraydblrulerow[\arrayrulewidth]}} +\def\@IEEEeqnarraydblrulerow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerow[#1]}% +{\@@IEEEeqnarraydblrulerow[#1][\doublerulesep]}} +\def\@@IEEEeqnarraydblrulerow[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}% +% we allow the user to say \IEEEeqnarraydblrulerow[][] +\ifx\@IEEEeqnarraydblrulerowARG\@empty% +\@IEEEeqnarrayrulerow[\arrayrulewidth]% +\else% +\@IEEEeqnarrayrulerow[#1]\relax% +\fi% +\def\@IEEEeqnarraydblrulerowARG{#2}% +\ifx\@IEEEeqnarraydblrulerowARG\@empty% +\\\IEEEeqnarrayseprow[\doublerulesep][\relax]% +\else% +\\\IEEEeqnarrayseprow[#2][\relax]% +\fi% +\\\multispan{\@IEEEeqnnumcols}% +% advance column counter only if the IEEEeqnarray environment wants it +\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi% +\def\@IEEEeqnarraydblrulerowARG{#1}% +\ifx\@IEEEeqnarraydblrulerowARG\@empty% +\@IEEEeqnarrayrulerow[\arrayrulewidth]% +\else% +\@IEEEeqnarrayrulerow[#1]% +\fi% +} + +% draws a double rule by using a single rule row, a separator (cutting) row, and then +% another single rule row +% first optional argument determines the rule thicknesses, \arrayrulewidth is the default +% second optional argument determines the rule spacing, \doublerulesep is the default +% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing] +\def\IEEEeqnarraydblrulerowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols +% advance column counter only if the IEEEeqnarray environment wants it +\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi% +\@ifnextchar[{\@IEEEeqnarraydblrulerowcut}{\@IEEEeqnarraydblrulerowcut[\arrayrulewidth]}} +\def\@IEEEeqnarraydblrulerowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerowcut[#1]}% +{\@@IEEEeqnarraydblrulerowcut[#1][\doublerulesep]}} +\def\@@IEEEeqnarraydblrulerowcut[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}% +% we allow the user to say \IEEEeqnarraydblrulerow[][] +\ifx\@IEEEeqnarraydblrulerowARG\@empty% +\@IEEEeqnarrayrulerow[\arrayrulewidth]% +\else% +\@IEEEeqnarrayrulerow[#1]% +\fi% +\def\@IEEEeqnarraydblrulerowARG{#2}% +\ifx\@IEEEeqnarraydblrulerowARG\@empty% +\\\IEEEeqnarrayseprowcut[\doublerulesep][\relax]% +\else% +\\\IEEEeqnarrayseprowcut[#2][\relax]% +\fi% +\\\multispan{\@IEEEeqnnumcols}% +% advance column counter only if the IEEEeqnarray environment wants it +\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi% +\def\@IEEEeqnarraydblrulerowARG{#1}% +\ifx\@IEEEeqnarraydblrulerowARG\@empty% +\@IEEEeqnarrayrulerow[\arrayrulewidth]% +\else% +\@IEEEeqnarrayrulerow[#1]% +\fi% +} + + + +% inserts a full row's worth of &'s +% relies on \@IEEEeqnnumcols to provide the correct number of columns +% uses \@IEEEtrantmptoksA, \count0 as scratch registers +\def\@IEEEeqnarrayhoptolastcolumn{\@IEEEtrantmptoksA={}\count0=1\relax% +\loop% add cols if the user did not use them all +\ifnum\count0<\@IEEEeqnnumcols\relax% +\@IEEEappendtoksA{&}% +\advance\count0 by 1\relax% update the col count +\repeat% +\the\@IEEEtrantmptoksA%execute the &'s +} + + + +\newif\if@IEEEeqnarrayISinner % flag to indicate if we are within the lines +\@IEEEeqnarrayISinnerfalse % of an IEEEeqnarray - after the IEEEeqnarraydecl + +\edef\@IEEEeqnarrayTHEstrutheight{0pt} % height and depth of IEEEeqnarray struts +\edef\@IEEEeqnarrayTHEstrutdepth{0pt} + +\edef\@IEEEeqnarrayTHEmasterstrutheight{0pt} % default height and depth of +\edef\@IEEEeqnarrayTHEmasterstrutdepth{0pt} % struts within an IEEEeqnarray + +\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{0pt} % saved master strut height +\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{0pt} % and depth + +\newif\if@IEEEeqnarrayusemasterstrut % flag to indicate that the master strut value +\@IEEEeqnarrayusemasterstruttrue % is to be used + + + +% saves the strut height and depth of the master strut +\def\@IEEEeqnarraymasterstrutsave{\relax% +\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax% +\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax% +% remove stretchability +\dimen0\skip0\relax% +\dimen2\skip2\relax% +% save values +\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{\the\dimen0}% +\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{\the\dimen2}} + +% restores the strut height and depth of the master strut +\def\@IEEEeqnarraymasterstrutrestore{\relax% +\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutHSAVE\relax% +\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutDSAVE\relax% +% remove stretchability +\dimen0\skip0\relax% +\dimen2\skip2\relax% +% restore values +\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}% +\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}} + + +% globally restores the strut height and depth to the +% master values and sets the master strut flag to true +\def\@IEEEeqnarraystrutreset{\relax% +\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax% +\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax% +% remove stretchability +\dimen0\skip0\relax% +\dimen2\skip2\relax% +% restore values +\xdef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}% +\xdef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}% +\global\@IEEEeqnarrayusemasterstruttrue} + + +% if the master strut is not to be used, make the current +% values of \@IEEEeqnarrayTHEstrutheight, \@IEEEeqnarrayTHEstrutdepth +% and the use master strut flag, global +% this allows user strut commands issued in the last column to be carried +% into the isolation/strut column +\def\@IEEEeqnarrayglobalizestrutstatus{\relax% +\if@IEEEeqnarrayusemasterstrut\else% +\xdef\@IEEEeqnarrayTHEstrutheight{\@IEEEeqnarrayTHEstrutheight}% +\xdef\@IEEEeqnarrayTHEstrutdepth{\@IEEEeqnarrayTHEstrutdepth}% +\global\@IEEEeqnarrayusemasterstrutfalse% +\fi} + + + +% usage: \IEEEeqnarraystrutsize{height}{depth}[font size commands] +% If called outside the lines of an IEEEeqnarray, sets the height +% and depth of both the master and local struts. If called inside +% an IEEEeqnarray line, sets the height and depth of the local strut +% only and sets the flag to indicate the use of the local strut +% values. If the height or depth is left blank, 0.7\normalbaselineskip +% and 0.3\normalbaselineskip will be used, respectively. +% The optional argument can be used to evaluate the lengths under +% a different font size and styles. If none is specified, the current +% font is used. +% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2 +\def\IEEEeqnarraystrutsize#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsize{#1}{#2}}{\@IEEEeqnarraystrutsize{#1}{#2}[\relax]}} +\def\@IEEEeqnarraystrutsize#1#2[#3]{\def\@IEEEeqnarraystrutsizeARG{#1}% +\ifx\@IEEEeqnarraystrutsizeARG\@empty% +{\setbox0=\hbox{#3\relax\global\skip3=0.7\normalbaselineskip}}% +\skip0=\skip3\relax% +\else% arg one present +{\setbox0=\hbox{#3\relax\global\skip3=#1\relax}}% +\skip0=\skip3\relax% +\fi% if null arg +\def\@IEEEeqnarraystrutsizeARG{#2}% +\ifx\@IEEEeqnarraystrutsizeARG\@empty% +{\setbox0=\hbox{#3\relax\global\skip3=0.3\normalbaselineskip}}% +\skip2=\skip3\relax% +\else% arg two present +{\setbox0=\hbox{#3\relax\global\skip3=#2\relax}}% +\skip2=\skip3\relax% +\fi% if null arg +% remove stretchability, just to be safe +\dimen0\skip0\relax% +\dimen2\skip2\relax% +% dimen0 = height, dimen2 = depth +\if@IEEEeqnarrayISinner% inner does not touch master strut size +\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}% +\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}% +\@IEEEeqnarrayusemasterstrutfalse% do not use master +\else% outer, have to set master strut too +\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}% +\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}% +\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}% +\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}% +\@IEEEeqnarrayusemasterstruttrue% use master strut +\fi} + + +% usage: \IEEEeqnarraystrutsizeadd{added height}{added depth}[font size commands] +% If called outside the lines of an IEEEeqnarray, adds the given height +% and depth to both the master and local struts. +% If called inside an IEEEeqnarray line, adds the given height and depth +% to the local strut only and sets the flag to indicate the use +% of the local strut values. +% In both cases, if a height or depth is left blank, 0pt is used instead. +% The optional argument can be used to evaluate the lengths under +% a different font size and styles. If none is specified, the current +% font is used. +% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2 +\def\IEEEeqnarraystrutsizeadd#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsizeadd{#1}{#2}}{\@IEEEeqnarraystrutsizeadd{#1}{#2}[\relax]}} +\def\@IEEEeqnarraystrutsizeadd#1#2[#3]{\def\@IEEEeqnarraystrutsizearg{#1}% +\ifx\@IEEEeqnarraystrutsizearg\@empty% +\skip0=0pt\relax% +\else% arg one present +{\setbox0=\hbox{#3\relax\global\skip3=#1}}% +\skip0=\skip3\relax% +\fi% if null arg +\def\@IEEEeqnarraystrutsizearg{#2}% +\ifx\@IEEEeqnarraystrutsizearg\@empty% +\skip2=0pt\relax% +\else% arg two present +{\setbox0=\hbox{#3\relax\global\skip3=#2}}% +\skip2=\skip3\relax% +\fi% if null arg +% remove stretchability, just to be safe +\dimen0\skip0\relax% +\dimen2\skip2\relax% +% dimen0 = height, dimen2 = depth +\if@IEEEeqnarrayISinner% inner does not touch master strut size +% get local strut size +\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax% +\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax% +% add it to the user supplied values +\advance\dimen0 by \skip0\relax% +\advance\dimen2 by \skip2\relax% +% update the local strut size +\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}% +\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}% +\@IEEEeqnarrayusemasterstrutfalse% do not use master +\else% outer, have to set master strut too +% get master strut size +\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax% +\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax% +% add it to the user supplied values +\advance\dimen0 by \skip0\relax% +\advance\dimen2 by \skip2\relax% +% update the local and master strut sizes +\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}% +\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}% +\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}% +\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}% +\@IEEEeqnarrayusemasterstruttrue% use master strut +\fi} + + +% allow user a way to see the struts +\newif\ifIEEEvisiblestruts +\IEEEvisiblestrutsfalse + +% inserts an invisible strut using the master or local strut values +% uses scratch registers \skip0, \skip2, \dimen0, \dimen2 +\def\@IEEEeqnarrayinsertstrut{\relax% +\if@IEEEeqnarrayusemasterstrut +% get master strut size +\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax% +\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax% +\else% +% get local strut size +\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax% +\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax% +\fi% +% remove stretchability, probably not needed +\dimen0\skip0\relax% +\dimen2\skip2\relax% +% dimen0 = height, dimen2 = depth +% allow user to see struts if desired +\ifIEEEvisiblestruts% +\vrule width0.2pt height\dimen0 depth\dimen2\relax% +\else% +\vrule width0pt height\dimen0 depth\dimen2\relax\fi} + + +% creates an invisible strut, useable even outside \IEEEeqnarray +% if \IEEEvisiblestrutstrue, the strut will be visible and 0.2pt wide. +% usage: \IEEEstrut[height][depth][font size commands] +% default is \IEEEstrut[0.7\normalbaselineskip][0.3\normalbaselineskip][\relax] +% blank arguments inherit the default values +% uses \dimen0, \dimen2, \skip0, \skip2 +\def\IEEEstrut{\relax\@ifnextchar[{\@IEEEstrut}{\@IEEEstrut[0.7\normalbaselineskip]}} +\def\@IEEEstrut[#1]{\relax\@ifnextchar[{\@@IEEEstrut[#1]}{\@@IEEEstrut[#1][0.3\normalbaselineskip]}} +\def\@@IEEEstrut[#1][#2]{\relax\@ifnextchar[{\@@@IEEEstrut[#1][#2]}{\@@@IEEEstrut[#1][#2][\relax]}} +\def\@@@IEEEstrut[#1][#2][#3]{\mbox{#3\relax% +\def\@IEEEstrutARG{#1}% +\ifx\@IEEEstrutARG\@empty% +\skip0=0.7\normalbaselineskip\relax% +\else% +\skip0=#1\relax% +\fi% +\def\@IEEEstrutARG{#2}% +\ifx\@IEEEstrutARG\@empty% +\skip2=0.3\normalbaselineskip\relax% +\else% +\skip2=#2\relax% +\fi% +% remove stretchability, probably not needed +\dimen0\skip0\relax% +\dimen2\skip2\relax% +\ifIEEEvisiblestruts% +\vrule width0.2pt height\dimen0 depth\dimen2\relax% +\else% +\vrule width0.0pt height\dimen0 depth\dimen2\relax\fi}} + + +% enables strut mode by setting a default strut size and then zeroing the +% \baselineskip, \lineskip, \lineskiplimit and \jot +\def\IEEEeqnarraystrutmode{\IEEEeqnarraystrutsize{0.7\normalbaselineskip}{0.3\normalbaselineskip}[\relax]% +\baselineskip=0pt\lineskip=0pt\lineskiplimit=0pt\jot=0pt} + + + +\def\IEEEeqnarray{\@IEEEeqnarraystarformfalse\@IEEEeqnarray} +\def\endIEEEeqnarray{\end@IEEEeqnarray} + +\@namedef{IEEEeqnarray*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarray} +\@namedef{endIEEEeqnarray*}{\end@IEEEeqnarray} + + +% \IEEEeqnarray is an enhanced \eqnarray. +% The star form defaults to not putting equation numbers at the end of each row. +% usage: \IEEEeqnarray[decl]{cols} +\def\@IEEEeqnarray{\relax\@ifnextchar[{\@@IEEEeqnarray}{\@@IEEEeqnarray[\relax]}} +\def\@@IEEEeqnarray[#1]#2{% + % default to showing the equation number or not based on whether or not + % the star form was involked + \if@IEEEeqnarraystarform\global\@eqnswfalse + \else% not the star form + \global\@eqnswtrue + \fi% if star form + \@IEEEissubequationfalse% default to no subequations + \@IEEElastlinewassubequationfalse% assume last line is not a sub equation + \@IEEEeqnarrayISinnerfalse% not yet within the lines of the halign + \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default + \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise + \IEEEvisiblestrutsfalse% diagnostic mode defaults to off + % no extra space unless the user specifically requests it + \lineskip=0pt\relax + \lineskiplimit=0pt\relax + \baselineskip=\normalbaselineskip\relax% + \jot=\IEEEnormaljot\relax% + \mathsurround\z@\relax% no extra spacing around math + \@advanceIEEEeqncolcnttrue% advance the col counter for each col the user uses, + % used in \IEEEeqnarraymulticol and in the preamble build + \stepcounter{equation}% advance equation counter before first line + \setcounter{IEEEsubequation}{0}% no subequation yet + \def\@currentlabel{\p@equation\theequation}% redefine the ref label + \IEEEeqnarraydecl\relax% allow a way for the user to make global overrides + #1\relax% allow user to override defaults + \let\\\@IEEEeqnarraycr% replace newline with one that can put in eqn. numbers + \global\@IEEEeqncolcnt\z@% col. count = 0 for first line + \@IEEEbuildpreamble #2\end\relax% build the preamble and put it into \@IEEEtrantmptoksA + % put in the column for the equation number + \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first + \toks0={##}% + % advance the \@IEEEeqncolcnt for the isolation col, this helps with error checking + \@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}% + % add the isolation column + \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}% + % advance the \@IEEEeqncolcnt for the equation number col, this helps with error checking + \@IEEEappendtoksA{&\global\advance\@IEEEeqncolcnt by 1\relax}% + % add the equation number col to the preamble + \@IEEEappendtoksA{\tabskip\z@skip\hb@xt@\z@\bgroup\hss\the\toks0\egroup}% + % note \@IEEEeqnnumcols does not count the equation col or isolation col + % set the starting tabskip glue as determined by the preamble build + \tabskip=\@IEEEBPstartglue\relax + % begin the display alignment + \@IEEEeqnarrayISinnertrue% commands are now within the lines + $$\everycr{}\halign to\displaywidth\bgroup + % "exspand" the preamble + \span\the\@IEEEtrantmptoksA\cr} + +% enter isolation/strut column (or the next column if the user did not use +% every column), record the strut status, complete the columns, do the strut if needed, +% restore counters to correct values and exit +\def\end@IEEEeqnarray{\@IEEEeqnarrayglobalizestrutstatus&\@@IEEEeqnarraycr\egroup% +\if@IEEElastlinewassubequation\global\advance\c@IEEEsubequation\m@ne\fi% +\global\advance\c@equation\m@ne% +$$\@ignoretrue} + +% need a way to remember if last line is a subequation +\newif\if@IEEElastlinewassubequation% +\@IEEElastlinewassubequationfalse + +% IEEEeqnarray uses a modifed \\ instead of the plain \cr to +% end rows. This allows for things like \\*[vskip amount] +% This "cr" macros are modified versions those for LaTeX2e's eqnarray +% the {\ifnum0=`} braces must be kept away from the last column to avoid +% altering spacing of its math, so we use & to advance to the next column +% as there is an isolation/strut column after the user's columns +\def\@IEEEeqnarraycr{\@IEEEeqnarrayglobalizestrutstatus&% save strut status and advance to next column + {\ifnum0=`}\fi + \@ifstar{% + \global\@eqpen\@M\@IEEEeqnarrayYCR + }{% + \global\@eqpen\interdisplaylinepenalty \@IEEEeqnarrayYCR + }% +} + +\def\@IEEEeqnarrayYCR{\@testopt\@IEEEeqnarrayXCR\z@skip} + +\def\@IEEEeqnarrayXCR[#1]{% + \ifnum0=`{\fi}% + \@@IEEEeqnarraycr + \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}% + +\def\@@IEEEeqnarraycr{\@IEEEtrantmptoksA={}% clear token register + \advance\@IEEEeqncolcnt by -1\relax% adjust col count because of the isolation column + \ifnum\@IEEEeqncolcnt>\@IEEEeqnnumcols\relax + \@IEEEclspkgerror{Too many columns within the IEEEeqnarray\MessageBreak + environment}% + {Use fewer \string &'s or put more columns in the IEEEeqnarry column\MessageBreak + specifications.}\relax% + \else + \loop% add cols if the user did not use them all + \ifnum\@IEEEeqncolcnt<\@IEEEeqnnumcols\relax + \@IEEEappendtoksA{&}% + \advance\@IEEEeqncolcnt by 1\relax% update the col count + \repeat + % this number of &'s will take us the the isolation column + \fi + % execute the &'s + \the\@IEEEtrantmptoksA% + % handle the strut/isolation column + \@IEEEeqnarrayinsertstrut% do the strut if needed + \@IEEEeqnarraystrutreset% reset the strut system for next line or IEEEeqnarray + &% and enter the equation number column + % is this line needs an equation number, display it and advance the + % (sub)equation counters, record what type this line was + \if@eqnsw% + \if@IEEEissubequation\theIEEEsubequationdis\addtocounter{equation}{1}\stepcounter{IEEEsubequation}% + \global\@IEEElastlinewassubequationtrue% + \else% display a standard equation number, initialize the IEEEsubequation counter + \theequationdis\stepcounter{equation}\setcounter{IEEEsubequation}{0}% + \global\@IEEElastlinewassubequationfalse\fi% + \fi% + % reset the eqnsw flag to indicate default preference of the display of equation numbers + \if@IEEEeqnarraystarform\global\@eqnswfalse\else\global\@eqnswtrue\fi + \global\@IEEEissubequationfalse% reset the subequation flag + % reset the number of columns the user actually used + \global\@IEEEeqncolcnt\z@\relax + % the real end of the line + \cr} + + + + + +% \IEEEeqnarraybox is like \IEEEeqnarray except the box form puts everything +% inside a vtop, vbox, or vcenter box depending on the letter in the second +% optional argument (t,b,c). Vbox is the default. Unlike \IEEEeqnarray, +% equation numbers are not displayed and \IEEEeqnarraybox can be nested. +% \IEEEeqnarrayboxm is for math mode (like \array) and does not put the vbox +% within an hbox. +% \IEEEeqnarrayboxt is for text mode (like \tabular) and puts the vbox within +% a \hbox{$ $} construct. +% \IEEEeqnarraybox will auto detect whether to use \IEEEeqnarrayboxm or +% \IEEEeqnarrayboxt depending on the math mode. +% The third optional argument specifies the width this box is to be set to - +% natural width is the default. +% The * forms do not add \jot line spacing +% usage: \IEEEeqnarraybox[decl][pos][width]{cols} +\def\IEEEeqnarrayboxm{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox} +\def\endIEEEeqnarrayboxm{\end@IEEEeqnarraybox} +\@namedef{IEEEeqnarrayboxm*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox} +\@namedef{endIEEEeqnarrayboxm*}{\end@IEEEeqnarraybox} + +\def\IEEEeqnarrayboxt{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox} +\def\endIEEEeqnarrayboxt{\end@IEEEeqnarraybox} +\@namedef{IEEEeqnarrayboxt*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox} +\@namedef{endIEEEeqnarrayboxt*}{\end@IEEEeqnarraybox} + +\def\IEEEeqnarraybox{\@IEEEeqnarraystarformfalse\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi% +\@IEEEeqnarraybox} +\def\endIEEEeqnarraybox{\end@IEEEeqnarraybox} + +\@namedef{IEEEeqnarraybox*}{\@IEEEeqnarraystarformtrue\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi% +\@IEEEeqnarraybox} +\@namedef{endIEEEeqnarraybox*}{\end@IEEEeqnarraybox} + +% flag to indicate if the \IEEEeqnarraybox needs to put things into an hbox{$ $} +% for \vcenter in non-math mode +\newif\if@IEEEeqnarrayboxHBOXSW% +\@IEEEeqnarrayboxHBOXSWfalse + +\def\@IEEEeqnarraybox{\relax\@ifnextchar[{\@@IEEEeqnarraybox}{\@@IEEEeqnarraybox[\relax]}} +\def\@@IEEEeqnarraybox[#1]{\relax\@ifnextchar[{\@@@IEEEeqnarraybox[#1]}{\@@@IEEEeqnarraybox[#1][b]}} +\def\@@@IEEEeqnarraybox[#1][#2]{\relax\@ifnextchar[{\@@@@IEEEeqnarraybox[#1][#2]}{\@@@@IEEEeqnarraybox[#1][#2][\relax]}} + +% #1 = decl; #2 = t,b,c; #3 = width, #4 = col specs +\def\@@@@IEEEeqnarraybox[#1][#2][#3]#4{\@IEEEeqnarrayISinnerfalse % not yet within the lines of the halign + \@IEEEeqnarraymasterstrutsave% save current master strut values + \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default + \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise + \IEEEvisiblestrutsfalse% diagnostic mode defaults to off + % no extra space unless the user specifically requests it + \lineskip=0pt\relax% + \lineskiplimit=0pt\relax% + \baselineskip=\normalbaselineskip\relax% + \jot=\IEEEnormaljot\relax% + \mathsurround\z@\relax% no extra spacing around math + % the default end glues are zero for an \IEEEeqnarraybox + \edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPzero}% default start glue + \edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPzero}% default end glue + \edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue + \@advanceIEEEeqncolcntfalse% do not advance the col counter for each col the user uses, + % used in \IEEEeqnarraymulticol and in the preamble build + \IEEEeqnarrayboxdecl\relax% allow a way for the user to make global overrides + #1\relax% allow user to override defaults + \let\\\@IEEEeqnarrayboxcr% replace newline with one that allows optional spacing + \@IEEEbuildpreamble #4\end\relax% build the preamble and put it into \@IEEEtrantmptoksA + % add an isolation column to the preamble to stop \\'s {} from getting into the last col + \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first + \toks0={##}% + % add the isolation column to the preamble + \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}% + % set the starting tabskip glue as determined by the preamble build + \tabskip=\@IEEEBPstartglue\relax + % begin the alignment + \everycr{}% + % use only the very first token to determine the positioning + % this stops some problems when the user uses more than one letter, + % but is probably not worth the effort + % \noindent is used as a delimiter + \def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}% + \@IEEEgrabfirstoken#2\relax\relax\noindent + % \@IEEEgrabbedfirstoken has the first token, the rest are discarded + % if we need to put things into and hbox and go into math mode, do so now + \if@IEEEeqnarrayboxHBOXSW \leavevmode \hbox \bgroup $\fi% + % use the appropriate vbox type + \if\@IEEEgrabbedfirstoken t\relax\vtop\else\if\@IEEEgrabbedfirstoken c\relax% + \vcenter\else\vbox\fi\fi\bgroup% + \@IEEEeqnarrayISinnertrue% commands are now within the lines + \ifx#3\relax\halign\else\halign to #3\relax\fi% + \bgroup + % "exspand" the preamble + \span\the\@IEEEtrantmptoksA\cr} + +% carry strut status and enter the isolation/strut column, +% exit from math mode if needed, and exit +\def\end@IEEEeqnarraybox{\@IEEEeqnarrayglobalizestrutstatus% carry strut status +&% enter isolation/strut column +\@IEEEeqnarrayinsertstrut% do strut if needed +\@IEEEeqnarraymasterstrutrestore% restore the previous master strut values +% reset the strut system for next IEEEeqnarray +% (sets local strut values back to previous master strut values) +\@IEEEeqnarraystrutreset% +% ensure last line, exit from halign, close vbox +\crcr\egroup\egroup% +% exit from math mode and close hbox if needed +\if@IEEEeqnarrayboxHBOXSW $\egroup\fi} + + + +% IEEEeqnarraybox uses a modifed \\ instead of the plain \cr to +% end rows. This allows for things like \\[vskip amount] +% This "cr" macros are modified versions those for LaTeX2e's eqnarray +% For IEEEeqnarraybox, \\* is the same as \\ +% the {\ifnum0=`} braces must be kept away from the last column to avoid +% altering spacing of its math, so we use & to advance to the isolation/strut column +% carry strut status into isolation/strut column +\def\@IEEEeqnarrayboxcr{\@IEEEeqnarrayglobalizestrutstatus% carry strut status +&% enter isolation/strut column +\@IEEEeqnarrayinsertstrut% do strut if needed +% reset the strut system for next line or IEEEeqnarray +\@IEEEeqnarraystrutreset% +{\ifnum0=`}\fi% +\@ifstar{\@IEEEeqnarrayboxYCR}{\@IEEEeqnarrayboxYCR}} + +% test and setup the optional argument to \\[] +\def\@IEEEeqnarrayboxYCR{\@testopt\@IEEEeqnarrayboxXCR\z@skip} + +% IEEEeqnarraybox does not automatically increase line spacing by \jot +\def\@IEEEeqnarrayboxXCR[#1]{\ifnum0=`{\fi}% +\cr\noalign{\if@IEEEeqnarraystarform\else\vskip\jot\fi\vskip#1\relax}} + + + +% starts the halign preamble build +\def\@IEEEbuildpreamble{\@IEEEtrantmptoksA={}% clear token register +\let\@IEEEBPcurtype=u%current column type is not yet known +\let\@IEEEBPprevtype=s%the previous column type was the start +\let\@IEEEBPnexttype=u%next column type is not yet known +% ensure these are valid +\def\@IEEEBPcurglue={0pt plus 0pt minus 0pt}% +\def\@IEEEBPcurcolname{@IEEEdefault}% name of current column definition +% currently acquired numerically referenced glue +% use a name that is easier to remember +\let\@IEEEBPcurnum=\@IEEEtrantmpcountA% +\@IEEEBPcurnum=0% +% tracks number of columns in the preamble +\@IEEEeqnnumcols=0% +% record the default end glues +\edef\@IEEEBPstartglue{\@IEEEeqnarraycolSEPdefaultstart}% +\edef\@IEEEBPendglue{\@IEEEeqnarraycolSEPdefaultend}% +% now parse the user's column specifications +\@@IEEEbuildpreamble} + + +% parses and builds the halign preamble +\def\@@IEEEbuildpreamble#1#2{\let\@@nextIEEEbuildpreamble=\@@IEEEbuildpreamble% +% use only the very first token to check the end +% \noindent is used as a delimiter as \end can be present here +\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}% +\@IEEEgrabfirstoken#1\relax\relax\noindent +\ifx\@IEEEgrabbedfirstoken\end\let\@@nextIEEEbuildpreamble=\@@IEEEfinishpreamble\else% +% identify current and next token type +\@IEEEgetcoltype{#1}{\@IEEEBPcurtype}{1}% current, error on invalid +\@IEEEgetcoltype{#2}{\@IEEEBPnexttype}{0}% next, no error on invalid next +% if curtype is a glue, get the glue def +\if\@IEEEBPcurtype g\@IEEEgetcurglue{#1}{\@IEEEBPcurglue}\fi% +% if curtype is a column, get the column def and set the current column name +\if\@IEEEBPcurtype c\@IEEEgetcurcol{#1}\fi% +% if curtype is a numeral, acquire the user defined glue +\if\@IEEEBPcurtype n\@IEEEprocessNcol{#1}\fi% +% process the acquired glue +\if\@IEEEBPcurtype g\@IEEEprocessGcol\fi% +% process the acquired col +\if\@IEEEBPcurtype c\@IEEEprocessCcol\fi% +% ready prevtype for next col spec. +\let\@IEEEBPprevtype=\@IEEEBPcurtype% +% be sure and put back the future token(s) as a group +\fi\@@nextIEEEbuildpreamble{#2}} + + +% executed just after preamble build is completed +% warn about zero cols, and if prevtype type = u, put in end tabskip glue +\def\@@IEEEfinishpreamble#1{\ifnum\@IEEEeqnnumcols<1\relax +\@IEEEclspkgerror{No column specifiers declared for IEEEeqnarray}% +{At least one column type must be declared for each IEEEeqnarray.}% +\fi%num cols less than 1 +%if last type undefined, set default end tabskip glue +\if\@IEEEBPprevtype u\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue}\fi} + + +% Identify and return the column specifier's type code +\def\@IEEEgetcoltype#1#2#3{% +% use only the very first token to determine the type +% \noindent is used as a delimiter as \end can be present here +\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}% +\@IEEEgrabfirstoken#1\relax\relax\noindent +% \@IEEEgrabfirstoken has the first token, the rest are discarded +% n = number +% g = glue (any other char in catagory 12) +% c = letter +% e = \end +% u = undefined +% third argument: 0 = no error message, 1 = error on invalid char +\let#2=u\relax% assume invalid until know otherwise +\ifx\@IEEEgrabbedfirstoken\end\let#2=e\else +\ifcat\@IEEEgrabbedfirstoken\relax\else% screen out control sequences +\if0\@IEEEgrabbedfirstoken\let#2=n\else +\if1\@IEEEgrabbedfirstoken\let#2=n\else +\if2\@IEEEgrabbedfirstoken\let#2=n\else +\if3\@IEEEgrabbedfirstoken\let#2=n\else +\if4\@IEEEgrabbedfirstoken\let#2=n\else +\if5\@IEEEgrabbedfirstoken\let#2=n\else +\if6\@IEEEgrabbedfirstoken\let#2=n\else +\if7\@IEEEgrabbedfirstoken\let#2=n\else +\if8\@IEEEgrabbedfirstoken\let#2=n\else +\if9\@IEEEgrabbedfirstoken\let#2=n\else +\ifcat,\@IEEEgrabbedfirstoken\let#2=g\relax +\else\ifcat a\@IEEEgrabbedfirstoken\let#2=c\relax\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi +\if#2u\relax +\if0\noexpand#3\relax\else\@IEEEclspkgerror{Invalid character in column specifications}% +{Only letters, numerals and certain other symbols are allowed \MessageBreak +as IEEEeqnarray column specifiers.}\fi\fi} + + +% identify the current letter referenced column +% if invalid, use a default column +\def\@IEEEgetcurcol#1{\expandafter\ifx\csname @IEEEeqnarraycolDEF#1\endcsname\@IEEEeqnarraycolisdefined% +\def\@IEEEBPcurcolname{#1}\else% invalid column name +\@IEEEclspkgerror{Invalid column type "#1" in column specifications.\MessageBreak +Using a default centering column instead}% +{You must define IEEEeqnarray column types before use.}% +\def\@IEEEBPcurcolname{@IEEEdefault}\fi} + + +% identify and return the predefined (punctuation) glue value +\def\@IEEEgetcurglue#1#2{% +% ! = \! (neg small) -0.16667em (-3/18 em) +% , = \, (small) 0.16667em ( 3/18 em) +% : = \: (med) 0.22222em ( 4/18 em) +% ; = \; (large) 0.27778em ( 5/18 em) +% ' = \quad 1em +% " = \qquad 2em +% . = 0.5\arraycolsep +% / = \arraycolsep +% ? = 2\arraycolsep +% * = 1fil +% + = \@IEEEeqnarraycolSEPcenter +% - = \@IEEEeqnarraycolSEPzero +% Note that all em values are referenced to the math font (textfont2) fontdimen6 +% value for 1em. +% +% use only the very first token to determine the type +% this prevents errant tokens from getting in the main text +% \noindent is used as a delimiter here +\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}% +\@IEEEgrabfirstoken#1\relax\relax\noindent +% get the math font 1em value +% LaTeX2e's NFSS2 does not preload the fonts, but \IEEEeqnarray needs +% to gain access to the math (\textfont2) font's spacing parameters. +% So we create a bogus box here that uses the math font to ensure +% that \textfont2 is loaded and ready. If this is not done, +% the \textfont2 stuff here may not work. +% Thanks to Bernd Raichle for his 1997 post on this topic. +{\setbox0=\hbox{$\displaystyle\relax$}}% +% fontdimen6 has the width of 1em (a quad). +\@IEEEtrantmpdimenA=\fontdimen6\textfont2\relax% +% identify the glue value based on the first token +% we discard anything after the first +\if!\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=-0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else +\if,\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else +\if:\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.22222\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else +\if;\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.27778\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else +\if'\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=1\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else +\if"\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else +\if.\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.5\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else +\if/\@IEEEgrabbedfirstoken\edef#2{\the\arraycolsep}\else +\if?\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else +\if *\@IEEEgrabbedfirstoken\edef#2{0pt plus 1fil minus 0pt}\else +\if+\@IEEEgrabbedfirstoken\edef#2{\@IEEEeqnarraycolSEPcenter}\else +\if-\@IEEEgrabbedfirstoken\edef#2{\@IEEEeqnarraycolSEPzero}\else +\edef#2{\@IEEEeqnarraycolSEPzero}% +\@IEEEclspkgerror{Invalid predefined inter-column glue type "#1" in\MessageBreak +column specifications. Using a default value of\MessageBreak +0pt instead}% +{Only !,:;'"./?*+ and - are valid predefined glue types in the\MessageBreak +IEEEeqnarray column specifications.}\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi} + + + +% process a numerical digit from the column specification +% and look up the corresponding user defined glue value +% can transform current type from n to g or a as the user defined glue is acquired +\def\@IEEEprocessNcol#1{\if\@IEEEBPprevtype g% +\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak +specifications. Ignoring consecutive glue specifiers\MessageBreak +after the first}% +{You cannot have two or more glue types next to each other\MessageBreak +in the IEEEeqnarray column specifications.}% +\let\@IEEEBPcurtype=a% abort this glue, future digits will be discarded +\@IEEEBPcurnum=0\relax% +\else% if we previously aborted a glue +\if\@IEEEBPprevtype a\@IEEEBPcurnum=0\let\@IEEEBPcurtype=a%maintain digit abortion +\else%acquire this number +% save the previous type before the numerical digits started +\if\@IEEEBPprevtype n\else\let\@IEEEBPprevsavedtype=\@IEEEBPprevtype\fi% +\multiply\@IEEEBPcurnum by 10\relax% +\advance\@IEEEBPcurnum by #1\relax% add in number, \relax is needed to stop TeX's number scan +\if\@IEEEBPnexttype n\else%close acquisition +\expandafter\ifx\csname @IEEEeqnarraycolSEPDEF\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname\@IEEEeqnarraycolisdefined% +\edef\@IEEEBPcurglue{\csname @IEEEeqnarraycolSEP\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname}% +\else%user glue not defined +\@IEEEclspkgerror{Invalid user defined inter-column glue type "\number\@IEEEBPcurnum" in\MessageBreak +column specifications. Using a default value of\MessageBreak +0pt instead}% +{You must define all IEEEeqnarray numerical inter-column glue types via\MessageBreak +\string\IEEEeqnarraydefcolsep \space before they are used in column specifications.}% +\edef\@IEEEBPcurglue{\@IEEEeqnarraycolSEPzero}% +\fi% glue defined or not +\let\@IEEEBPcurtype=g% change the type to reflect the acquired glue +\let\@IEEEBPprevtype=\@IEEEBPprevsavedtype% restore the prev type before this number glue +\@IEEEBPcurnum=0\relax%ready for next acquisition +\fi%close acquisition, get glue +\fi%discard or acquire number +\fi%prevtype glue or not +} + + +% process an acquired glue +% add any acquired column/glue pair to the preamble +\def\@IEEEprocessGcol{\if\@IEEEBPprevtype a\let\@IEEEBPcurtype=a%maintain previous glue abortions +\else +% if this is the start glue, save it, but do nothing else +% as this is not used in the preamble, but before +\if\@IEEEBPprevtype s\edef\@IEEEBPstartglue{\@IEEEBPcurglue}% +\else%not the start glue +\if\@IEEEBPprevtype g%ignore if back to back glues +\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak +specifications. Ignoring consecutive glue specifiers\MessageBreak +after the first}% +{You cannot have two or more glue types next to each other\MessageBreak +in the IEEEeqnarray column specifications.}% +\let\@IEEEBPcurtype=a% abort this glue +\else% not a back to back glue +\if\@IEEEBPprevtype c\relax% if the previoustype was a col, add column/glue pair to preamble +\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi +\toks0={##}% +% make preamble advance col counter if this environment needs this +\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi +% insert the column defintion into the preamble, being careful not to expand +% the column definition +\@IEEEappendtoksA{\tabskip=\@IEEEBPcurglue}% +\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}% +\@IEEEappendtoksA{\@IEEEBPcurcolname}% +\@IEEEappendNOEXPANDtoksA{\endcsname}% +\@IEEEappendtoksA{\the\toks0}% +\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax% +\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}% +\@IEEEappendtoksA{\@IEEEBPcurcolname}% +\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax% +\relax\relax\relax\relax\relax\endgroup}% +\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble +\else% error: non-start glue with no pending column +\@IEEEclspkgerror{Inter-column glue specifier without a prior column\MessageBreak +type in the column specifications. Ignoring this glue\MessageBreak +specifier}% +{Except for the first and last positions, glue can be placed only\MessageBreak +between column types.}% +\let\@IEEEBPcurtype=a% abort this glue +\fi% previous was a column +\fi% back-to-back glues +\fi% is start column glue +\fi% prev type not a +} + + +% process an acquired letter referenced column and, if necessary, add it to the preamble +\def\@IEEEprocessCcol{\if\@IEEEBPnexttype g\else +\if\@IEEEBPnexttype n\else +% we have a column followed by something other than a glue (or numeral glue) +% so we must add this column to the preamble now +\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi%col separator for those after the first +\if\@IEEEBPnexttype e\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue\relax}\else%put in end glue +\@IEEEappendtoksA{\tabskip=\@IEEEeqnarraycolSEPdefaultmid\relax}\fi% or default mid glue +\toks0={##}% +% make preamble advance col counter if this environment needs this +\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi +% insert the column definition into the preamble, being careful not to expand +% the column definition +\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}% +\@IEEEappendtoksA{\@IEEEBPcurcolname}% +\@IEEEappendNOEXPANDtoksA{\endcsname}% +\@IEEEappendtoksA{\the\toks0}% +\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax% +\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}% +\@IEEEappendtoksA{\@IEEEBPcurcolname}% +\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax% +\relax\relax\relax\relax\relax\endgroup}% +\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble +\fi%next type not numeral +\fi%next type not glue +} + + +%% +%% END OF IEEEeqnarry DEFINITIONS +%% + + + + +% set up the running headings, this complex because of all the different +% modes IEEEtran supports +\if@twoside + \ifCLASSOPTIONtechnote + \def\ps@headings{% + \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage} + \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}} + \ifCLASSOPTIONdraftcls + \ifCLASSOPTIONdraftclsnofoot + \def\@oddfoot{}\def\@evenfoot{}% + \else + \def\@oddfoot{\scriptsize\@date\hfil DRAFT} + \def\@evenfoot{\scriptsize DRAFT\hfil\@date} + \fi + \else + \def\@oddfoot{}\def\@evenfoot{} + \fi} + \else % not a technote + \def\ps@headings{% + \ifCLASSOPTIONconference + \def\@oddhead{} + \def\@evenhead{} + \else + \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage} + \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}} + \fi + \ifCLASSOPTIONdraftcls + \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage} + \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}} + \ifCLASSOPTIONdraftclsnofoot + \def\@oddfoot{}\def\@evenfoot{}% + \else + \def\@oddfoot{\scriptsize\@date\hfil DRAFT} + \def\@evenfoot{\scriptsize DRAFT\hfil\@date} + \fi + \else + \def\@oddfoot{}\def\@evenfoot{}% + \fi} + \fi +\else % single side +\def\ps@headings{% + \ifCLASSOPTIONconference + \def\@oddhead{} + \def\@evenhead{} + \else + \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage} + \def\@evenhead{} + \fi + \ifCLASSOPTIONdraftcls + \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage} + \def\@evenhead{} + \ifCLASSOPTIONdraftclsnofoot + \def\@oddfoot{} + \else + \def\@oddfoot{\scriptsize \@date \hfil DRAFT} + \fi + \else + \def\@oddfoot{} + \fi + \def\@evenfoot{}} +\fi + + +% title page style +\def\ps@IEEEtitlepagestyle{\def\@oddfoot{}\def\@evenfoot{}% +\ifCLASSOPTIONconference + \def\@oddhead{}% + \def\@evenhead{}% +\else + \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}% + \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}% +\fi +\ifCLASSOPTIONdraftcls + \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}% + \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}% + \ifCLASSOPTIONdraftclsnofoot\else + \def\@oddfoot{\scriptsize \@date\hfil DRAFT}% + \def\@evenfoot{\scriptsize DRAFT\hfil \@date}% + \fi +\else + % all non-draft mode footers + \if@IEEEusingpubid + % for title pages that are using a pubid + % do not repeat pubid if using peer review option + \ifCLASSOPTIONpeerreview + \else + \footskip 0pt% + \ifCLASSOPTIONcompsoc + \def\@oddfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}% + \def\@evenfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}% + \else + \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}% + \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}% + \fi + \fi + \fi +\fi} + + +% peer review cover page style +\def\ps@IEEEpeerreviewcoverpagestyle{% +\def\@oddhead{}\def\@evenhead{}% +\def\@oddfoot{}\def\@evenfoot{}% +\ifCLASSOPTIONdraftcls + \ifCLASSOPTIONdraftclsnofoot\else + \def\@oddfoot{\scriptsize \@date\hfil DRAFT}% + \def\@evenfoot{\scriptsize DRAFT\hfil \@date}% + \fi +\else + % non-draft mode footers + \if@IEEEusingpubid + \footskip 0pt% + \ifCLASSOPTIONcompsoc + \def\@oddfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}% + \def\@evenfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}% + \else + \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}% + \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}% + \fi + \fi +\fi} + + +% start with empty headings +\def\rightmark{}\def\leftmark{} + + +%% Defines the command for putting the header. \footernote{TEXT} is the same +%% as \markboth{TEXT}{TEXT}. +%% Note that all the text is forced into uppercase, if you have some text +%% that needs to be in lower case, for instance et. al., then either manually +%% set \leftmark and \rightmark or use \MakeLowercase{et. al.} within the +%% arguments to \markboth. +\def\markboth#1#2{\def\leftmark{\@IEEEcompsoconly{\sffamily}\MakeUppercase{#1}}% +\def\rightmark{\@IEEEcompsoconly{\sffamily}\MakeUppercase{#2}}} +\def\footernote#1{\markboth{#1}{#1}} + +\def\today{\ifcase\month\or + January\or February\or March\or April\or May\or June\or + July\or August\or September\or October\or November\or December\fi + \space\number\day, \number\year} + + + + +%% CITATION AND BIBLIOGRAPHY COMMANDS +%% +%% V1.6 no longer supports the older, nonstandard \shortcite and \citename setup stuff +% +% +% Modify Latex2e \@citex to separate citations with "], [" +\def\@citex[#1]#2{% + \let\@citea\@empty + \@cite{\@for\@citeb:=#2\do + {\@citea\def\@citea{], [}% + \edef\@citeb{\expandafter\@firstofone\@citeb\@empty}% + \if@filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi + \@ifundefined{b@\@citeb}{\mbox{\reset@font\bfseries ?}% + \G@refundefinedtrue + \@latex@warning + {Citation `\@citeb' on page \thepage \space undefined}}% + {\hbox{\csname b@\@citeb\endcsname}}}}{#1}} + +% V1.6 we create hooks for the optional use of Donald Arseneau's +% cite.sty package. cite.sty is "smart" and will notice that the +% following format controls are already defined and will not +% redefine them. The result will be the proper sorting of the +% citation numbers and auto detection of 3 or more entry "ranges" - +% all in IEEE style: [1], [2], [5]--[7], [12] +% This also allows for an optional note, i.e., \cite[mynote]{..}. +% If the \cite with note has more than one reference, the note will +% be applied to the last of the listed references. It is generally +% desired that if a note is given, only one reference is listed in +% that \cite. +% Thanks to Mr. Arseneau for providing the required format arguments +% to produce the IEEE style. +\def\citepunct{], [} +\def\citedash{]--[} + +% V1.7 default to using same font for urls made by url.sty +\AtBeginDocument{\csname url@samestyle\endcsname} + +% V1.6 class files should always provide these +\def\newblock{\hskip .11em\@plus.33em\@minus.07em} +\let\@openbib@code\@empty + + +% Provide support for the control entries of IEEEtran.bst V1.00 and later. +% V1.7 optional argument allows for a different aux file to be specified in +% order to handle multiple bibliographies. For example, with multibib.sty: +% \newcites{sec}{Secondary Literature} +% \bstctlcite[@auxoutsec]{BSTcontrolhak} +\def\bstctlcite{\@ifnextchar[{\@bstctlcite}{\@bstctlcite[@auxout]}} +\def\@bstctlcite[#1]#2{\@bsphack + \@for\@citeb:=#2\do{% + \edef\@citeb{\expandafter\@firstofone\@citeb}% + \if@filesw\immediate\write\csname #1\endcsname{\string\citation{\@citeb}}\fi}% + \@esphack} + +% V1.6 provide a way for a user to execute a command just before +% a given reference number - used to insert a \newpage to balance +% the columns on the last page +\edef\@IEEEtriggerrefnum{0} % the default of zero means that + % the command is not executed +\def\@IEEEtriggercmd{\newpage} + +% allow the user to alter the triggered command +\long\def\IEEEtriggercmd#1{\long\def\@IEEEtriggercmd{#1}} + +% allow user a way to specify the reference number just before the +% command is executed +\def\IEEEtriggeratref#1{\@IEEEtrantmpcountA=#1% +\edef\@IEEEtriggerrefnum{\the\@IEEEtrantmpcountA}}% + +% trigger command at the given reference +\def\@IEEEbibitemprefix{\@IEEEtrantmpcountA=\@IEEEtriggerrefnum\relax% +\advance\@IEEEtrantmpcountA by -1\relax% +\ifnum\c@enumiv=\@IEEEtrantmpcountA\relax\@IEEEtriggercmd\relax\fi} + + +\def\@biblabel#1{[#1]} + +% compsoc journals left align the reference numbers +\@IEEEcompsocnotconfonly{\def\@biblabel#1{[#1]\hfill}} + +% controls bib item spacing +\def\IEEEbibitemsep{2.5pt plus .5pt} + +\@IEEEcompsocconfonly{\def\IEEEbibitemsep{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}} + + +\def\thebibliography#1{\section*{\refname}% + \addcontentsline{toc}{section}{\refname}% + % V1.6 add some rubber space here and provide a command trigger + \footnotesize\@IEEEcompsocconfonly{\small}\vskip 0.3\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip% + \list{\@biblabel{\@arabic\c@enumiv}}% + {\settowidth\labelwidth{\@biblabel{#1}}% + \leftmargin\labelwidth + \labelsep 1em + \advance\leftmargin\labelsep\relax + \itemsep \IEEEbibitemsep\relax + \usecounter{enumiv}% + \let\p@enumiv\@empty + \renewcommand\theenumiv{\@arabic\c@enumiv}}% + \let\@IEEElatexbibitem\bibitem% + \def\bibitem{\@IEEEbibitemprefix\@IEEElatexbibitem}% +\def\newblock{\hskip .11em plus .33em minus .07em}% +% originally: +% \sloppy\clubpenalty4000\widowpenalty4000% +% by adding the \interlinepenalty here, we make it more +% difficult, but not impossible, for LaTeX to break within a reference. +% IEEE almost never breaks a reference (but they do it more often with +% technotes). You may get an underfull vbox warning around the bibliography, +% but the final result will be much more like what IEEE will publish. +% MDS 11/2000 +\ifCLASSOPTIONtechnote\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty100% +\else\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty500\fi% + \sfcode`\.=1000\relax} +\let\endthebibliography=\endlist + + + + +% TITLE PAGE COMMANDS +% +% +% \IEEEmembership is used to produce the sublargesize italic font used to indicate author +% IEEE membership. compsoc uses a large size sans slant font +\def\IEEEmembership#1{{\@IEEEnotcompsoconly{\sublargesize}\normalfont\@IEEEcompsoconly{\sffamily}\textit{#1}}} + + +% \IEEEauthorrefmark{} produces a footnote type symbol to indicate author affiliation. +% When given an argument of 1 to 9, \IEEEauthorrefmark{} follows the standard LaTeX footnote +% symbol sequence convention. However, for arguments 10 and above, \IEEEauthorrefmark{} +% reverts to using lower case roman numerals, so it cannot overflow. Do note that you +% cannot use \footnotemark[] in place of \IEEEauthorrefmark{} within \author as the footnote +% symbols will have been turned off to prevent \thanks from creating footnote marks. +% \IEEEauthorrefmark{} produces a symbol that appears to LaTeX as having zero vertical +% height - this allows for a more compact line packing, but the user must ensure that +% the interline spacing is large enough to prevent \IEEEauthorrefmark{} from colliding +% with the text above. +% V1.7 make this a robust command +\DeclareRobustCommand*{\IEEEauthorrefmark}[1]{\raisebox{0pt}[0pt][0pt]{\textsuperscript{\footnotesize\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or% + \mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger% + \or \ddagger\ddagger \else\textsuperscript{\expandafter\romannumeral#1}\fi}}}} + + +% FONT CONTROLS AND SPACINGS FOR CONFERENCE MODE AUTHOR NAME AND AFFILIATION BLOCKS +% +% The default font styles for the author name and affiliation blocks (confmode) +\def\@IEEEauthorblockNstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\sublargesize\@IEEEcompsocconfonly{\large}} +\def\@IEEEauthorblockAstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\@IEEEcompsocconfonly{\itshape}\normalsize\@IEEEcompsocconfonly{\large}} +% The default if the user does not use an author block +\def\@IEEEauthordefaulttextstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\sublargesize} + +% spacing from title (or special paper notice) to author name blocks (confmode) +% can be negative +\def\@IEEEauthorblockconfadjspace{-0.25em} +% compsoc conferences need more space here +\@IEEEcompsocconfonly{\def\@IEEEauthorblockconfadjspace{0.75\@IEEEnormalsizeunitybaselineskip}} +\ifCLASSOPTIONconference\def\@IEEEauthorblockconfadjspace{20pt}\fi + +% spacing between name and affiliation blocks (confmode) +% This can be negative. +% IEEE doesn't want any added spacing here, but I will leave these +% controls in place in case they ever change their mind. +% Personally, I like 0.75ex. +%\def\@IEEEauthorblockNtopspace{0.75ex} +%\def\@IEEEauthorblockAtopspace{0.75ex} +\def\@IEEEauthorblockNtopspace{0.0ex} +\def\@IEEEauthorblockAtopspace{0.0ex} +% baseline spacing within name and affiliation blocks (confmode) +% must be positive, spacings below certain values will make +% the position of line of text sensitive to the contents of the +% line above it i.e., whether or not the prior line has descenders, +% subscripts, etc. For this reason it is a good idea to keep +% these above 2.6ex +\def\@IEEEauthorblockNinterlinespace{2.6ex} +\def\@IEEEauthorblockAinterlinespace{2.75ex} + +% This tracks the required strut size. +% See the \@IEEEauthorhalign command for the actual default value used. +\def\@IEEEauthorblockXinterlinespace{2.7ex} + +% variables to retain font size and style across groups +% values given here have no effect as they will be overwritten later +\gdef\@IEEESAVESTATEfontsize{10} +\gdef\@IEEESAVESTATEfontbaselineskip{12} +\gdef\@IEEESAVESTATEfontencoding{OT1} +\gdef\@IEEESAVESTATEfontfamily{ptm} +\gdef\@IEEESAVESTATEfontseries{m} +\gdef\@IEEESAVESTATEfontshape{n} + +% saves the current font attributes +\def\@IEEEcurfontSAVE{\global\let\@IEEESAVESTATEfontsize\f@size% +\global\let\@IEEESAVESTATEfontbaselineskip\f@baselineskip% +\global\let\@IEEESAVESTATEfontencoding\f@encoding% +\global\let\@IEEESAVESTATEfontfamily\f@family% +\global\let\@IEEESAVESTATEfontseries\f@series% +\global\let\@IEEESAVESTATEfontshape\f@shape} + +% restores the saved font attributes +\def\@IEEEcurfontRESTORE{\fontsize{\@IEEESAVESTATEfontsize}{\@IEEESAVESTATEfontbaselineskip}% +\fontencoding{\@IEEESAVESTATEfontencoding}% +\fontfamily{\@IEEESAVESTATEfontfamily}% +\fontseries{\@IEEESAVESTATEfontseries}% +\fontshape{\@IEEESAVESTATEfontshape}% +\selectfont} + + +% variable to indicate if the current block is the first block in the column +\newif\if@IEEEprevauthorblockincol \@IEEEprevauthorblockincolfalse + + +% the command places a strut with height and depth = \@IEEEauthorblockXinterlinespace +% we use this technique to have complete manual control over the spacing of the lines +% within the halign environment. +% We set the below baseline portion at 30%, the above +% baseline portion at 70% of the total length. +% Responds to changes in the document's \baselinestretch +\def\@IEEEauthorstrutrule{\@IEEEtrantmpdimenA\@IEEEauthorblockXinterlinespace% +\@IEEEtrantmpdimenA=\baselinestretch\@IEEEtrantmpdimenA% +\rule[-0.3\@IEEEtrantmpdimenA]{0pt}{\@IEEEtrantmpdimenA}} + + +% blocks to hold the authors' names and affilations. +% Makes formatting easy for conferences +% +% use real definitions in conference mode +% name block +\def\IEEEauthorblockN#1{\relax\@IEEEauthorblockNstyle% set the default text style +\gdef\@IEEEauthorblockXinterlinespace{0pt}% disable strut for spacer row +% the \expandafter hides the \cr in conditional tex, see the array.sty docs +% for details, probably not needed here as the \cr is in a macro +% do a spacer row if needed +\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockNtopspaceline\fi +\global\@IEEEprevauthorblockincoltrue% we now have a block in this column +%restore the correct strut value +\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockNinterlinespace}% +% input the author names +#1% +% end the row if the user did not already +\crcr} +% spacer row for names +\def\@IEEEauthorblockNtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockNtopspace}} +% +% affiliation block +\def\IEEEauthorblockA#1{\relax\@IEEEauthorblockAstyle% set the default text style +\gdef\@IEEEauthorblockXinterlinespace{0pt}%disable strut for spacer row +% the \expandafter hides the \cr in conditional tex, see the array.sty docs +% for details, probably not needed here as the \cr is in a macro +% do a spacer row if needed +\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockAtopspaceline\fi +\global\@IEEEprevauthorblockincoltrue% we now have a block in this column +%restore the correct strut value +\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockAinterlinespace}% +% input the author affiliations +#1% +% end the row if the user did not already +\crcr} +% spacer row for affiliations +\def\@IEEEauthorblockAtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockAtopspace}} + + +% allow papers to compile even if author blocks are used in modes other +% than conference or peerreviewca. For such cases, we provide dummy blocks. +\ifCLASSOPTIONconference +\else + \ifCLASSOPTIONpeerreviewca\else + % not conference or peerreviewca mode + \def\IEEEauthorblockN#1{#1}% + \def\IEEEauthorblockA#1{#1}% + \fi +\fi + + + +% we provide our own halign so as not to have to depend on tabular +\def\@IEEEauthorhalign{\@IEEEauthordefaulttextstyle% default text style + \lineskip=0pt\relax% disable line spacing + \lineskiplimit=0pt\relax% + \baselineskip=0pt\relax% + \@IEEEcurfontSAVE% save the current font + \mathsurround\z@\relax% no extra spacing around math + \let\\\@IEEEauthorhaligncr% replace newline with halign friendly one + \tabskip=0pt\relax% no column spacing + \everycr{}% ensure no problems here + \@IEEEprevauthorblockincolfalse% no author blocks yet + \def\@IEEEauthorblockXinterlinespace{2.7ex}% default interline space + \vtop\bgroup%vtop box + \halign\bgroup&\relax\hfil\@IEEEcurfontRESTORE\relax ##\relax + \hfil\@IEEEcurfontSAVE\@IEEEauthorstrutrule\cr} + +% ensure last line, exit from halign, close vbox +\def\end@IEEEauthorhalign{\crcr\egroup\egroup} + +% handle bogus star form +\def\@IEEEauthorhaligncr{{\ifnum0=`}\fi\@ifstar{\@@IEEEauthorhaligncr}{\@@IEEEauthorhaligncr}} + +% test and setup the optional argument to \\[] +\def\@@IEEEauthorhaligncr{\@testopt\@@@IEEEauthorhaligncr\z@skip} + +% end the line and do the optional spacer +\def\@@@IEEEauthorhaligncr[#1]{\ifnum0=`{\fi}\cr\noalign{\vskip#1\relax}} + + + +% flag to prevent multiple \and warning messages +\newif\if@IEEEWARNand +\@IEEEWARNandtrue + +% if in conference or peerreviewca modes, we support the use of \and as \author is a +% tabular environment, otherwise we warn the user that \and is invalid +% outside of conference or peerreviewca modes. +\def\and{\relax} % provide a bogus \and that we will then override + +\renewcommand{\and}[1][\relax]{\if@IEEEWARNand\typeout{** WARNING: \noexpand\and is valid only + when in conference or peerreviewca}\typeout{modes (line \the\inputlineno).}\fi\global\@IEEEWARNandfalse} + +\ifCLASSOPTIONconference% +\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}% +\fi +\ifCLASSOPTIONpeerreviewca +\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}% +\fi + + +% page clearing command +% based on LaTeX2e's \cleardoublepage, but allows different page styles +% for the inserted blank pages +\def\@IEEEcleardoublepage#1{\clearpage\if@twoside\ifodd\c@page\else +\hbox{}\thispagestyle{#1}\newpage\if@twocolumn\hbox{}\thispagestyle{#1}\newpage\fi\fi\fi} + + +% user command to invoke the title page +\def\maketitle{\par% + \begingroup% + \normalfont% + \def\thefootnote{}% the \thanks{} mark type is empty + \def\footnotemark{}% and kill space from \thanks within author + \let\@makefnmark\relax% V1.7, must *really* kill footnotemark to remove all \textsuperscript spacing as well. + \footnotesize% equal spacing between thanks lines + \footnotesep 0.7\baselineskip%see global setting of \footnotesep for more info + % V1.7 disable \thanks note indention for compsoc + \@IEEEcompsoconly{\long\def\@makefntext##1{\parindent 1em\noindent\hbox{\@makefnmark}##1}}% + \normalsize% + \ifCLASSOPTIONpeerreview + \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext% + \thispagestyle{IEEEpeerreviewcoverpagestyle}\@thanks% + \else + \if@twocolumn% + \ifCLASSOPTIONtechnote% + \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext% + \else + \twocolumn[\@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext]% + \fi + \else + \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext% + \fi + \thispagestyle{IEEEtitlepagestyle}\@thanks% + \fi + % pullup page for pubid if used. + \if@IEEEusingpubid + \enlargethispage{-\@IEEEpubidpullup}% + \fi + \endgroup + \setcounter{footnote}{0}\let\maketitle\relax\let\@maketitle\relax + \gdef\@thanks{}% + % v1.6b do not clear these as we will need the title again for peer review papers + % \gdef\@author{}\gdef\@title{}% + \let\thanks\relax} + + + +% V1.7 parbox to format \@IEEEcompsoctitleabstractindextext +\long\def\@IEEEcompsoctitleabstractindextextbox#1{\parbox{0.915\textwidth}{#1}} + +% formats the Title, authors names, affiliations and special paper notice +% THIS IS A CONTROLLED SPACING COMMAND! Do not allow blank lines or unintentional +% spaces to enter the definition - use % at the end of each line +\def\@maketitle{\newpage +\begingroup\centering +\ifCLASSOPTIONtechnote% technotes + {\bfseries\large\@IEEEcompsoconly{\sffamily}\@title\par}\vskip 1.3em{\lineskip .5em\@IEEEcompsoconly{\sffamily}\@author + \@IEEEspecialpapernotice\par{\@IEEEcompsoconly{\vskip 1.5em\relax + \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par + \hfill\@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax +\else% not a technote + \vskip0.2em{\Huge\@IEEEcompsoconly{\sffamily}\@IEEEcompsocconfonly{\normalfont\normalsize\vskip 2\@IEEEnormalsizeunitybaselineskip + \bfseries\Large}\@title\par}\vskip1.0em\par% + % V1.6 handle \author differently if in conference mode + \ifCLASSOPTIONconference% + {\@IEEEspecialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace% + \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par}\relax + \else% peerreviewca, peerreview or journal + \ifCLASSOPTIONpeerreviewca + % peerreviewca handles author names just like conference mode + {\@IEEEcompsoconly{\sffamily}\@IEEEspecialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace% + \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par + {\@IEEEcompsoconly{\vskip 1.5em\relax + \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par\hfill + \@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax + \else% journal or peerreview + {\lineskip.5em\@IEEEcompsoconly{\sffamily}\sublargesize\@author\@IEEEspecialpapernotice\par + {\@IEEEcompsoconly{\vskip 1.5em\relax + \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par\hfill + \@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax + \fi + \fi +\fi\par\endgroup} + + + +% V1.7 Computer Society "diamond line" which follows index terms for nonconference papers +\def\@IEEEcompsocdiamondline{\vrule depth 0pt height 0.5pt width 4cm\hspace{7.5pt}% +\raisebox{-3.5pt}{\fontfamily{pzd}\fontencoding{U}\fontseries{m}\fontshape{n}\fontsize{11}{12}\selectfont\char70}% +\hspace{7.5pt}\vrule depth 0pt height 0.5pt width 4cm\relax} + +% V1.7 standard LateX2e \thanks, but with \itshape under compsoc. Also make it a \long\def +% We also need to trigger the one-shot footnote rule +\def\@IEEEtriggeroneshotfootnoterule{\global\@IEEEenableoneshotfootnoteruletrue} + + +\long\def\thanks#1{\footnotemark + \protected@xdef\@thanks{\@thanks + \protect\footnotetext[\the\c@footnote]{\@IEEEcompsoconly{\itshape + \protect\@IEEEtriggeroneshotfootnoterule\relax}\ignorespaces#1}}} +\let\@thanks\@empty + +% V1.7 allow \author to contain \par's. This is needed to allow \thanks to contain \par. +\long\def\author#1{\gdef\@author{#1}} + + +% in addition to setting up IEEEitemize, we need to remove a baselineskip space above and +% below it because \list's \pars introduce blank lines because of the footnote struts. +\def\@IEEEsetupcompsocitemizelist{\def\labelitemi{$\bullet$}% +\setlength{\IEEElabelindent}{0pt}\setlength{\parskip}{0pt}% +\setlength{\partopsep}{0pt}\setlength{\topsep}{0.5\baselineskip}\vspace{-1\baselineskip}\relax} + + +% flag for fake non-compsoc \IEEEcompsocthanksitem - prevents line break on very first item +\newif\if@IEEEbreakcompsocthanksitem \@IEEEbreakcompsocthanksitemfalse + +\ifCLASSOPTIONcompsoc +% V1.7 compsoc bullet item \thanks +% also, we need to redefine this to destroy the argument in \@IEEEdynamictitlevspace +\long\def\IEEEcompsocitemizethanks#1{\relax\@IEEEbreakcompsocthanksitemfalse\footnotemark + \protected@xdef\@thanks{\@thanks + \protect\footnotetext[\the\c@footnote]{\itshape\protect\@IEEEtriggeroneshotfootnoterule + {\let\IEEEiedlistdecl\relax\protect\begin{IEEEitemize}[\protect\@IEEEsetupcompsocitemizelist]\ignorespaces#1\relax + \protect\end{IEEEitemize}}\protect\vspace{-1\baselineskip}}}} +\DeclareRobustCommand*{\IEEEcompsocthanksitem}{\item} +\else +% non-compsoc, allow for dual compilation via rerouting to normal \thanks +\long\def\IEEEcompsocitemizethanks#1{\thanks{#1}} +% redirect to "pseudo-par" \hfil\break\indent after swallowing [] from \IEEEcompsocthanksitem[] +\DeclareRobustCommand{\IEEEcompsocthanksitem}{\@ifnextchar [{\@IEEEthanksswallowoptionalarg}% +{\@IEEEthanksswallowoptionalarg[\relax]}} +% be sure and break only after first item, be sure and ignore spaces after optional argument +\def\@IEEEthanksswallowoptionalarg[#1]{\relax\if@IEEEbreakcompsocthanksitem\hfil\break +\indent\fi\@IEEEbreakcompsocthanksitemtrue\ignorespaces} +\fi + + +% V1.6b define the \IEEEpeerreviewmaketitle as needed +\ifCLASSOPTIONpeerreview +\def\IEEEpeerreviewmaketitle{\@IEEEcleardoublepage{empty}% +\ifCLASSOPTIONtwocolumn +\twocolumn[\@IEEEpeerreviewmaketitle\@IEEEdynamictitlevspace] +\else +\newpage\@IEEEpeerreviewmaketitle\@IEEEstatictitlevskip +\fi +\thispagestyle{IEEEtitlepagestyle}} +\else +% \IEEEpeerreviewmaketitle does nothing if peer review option has not been selected +\def\IEEEpeerreviewmaketitle{\relax} +\fi + +% peerreview formats the repeated title like the title in journal papers. +\def\@IEEEpeerreviewmaketitle{\begin{center}\@IEEEcompsoconly{\sffamily}% +\normalfont\normalsize\vskip0.2em{\Huge\@title\par}\vskip1.0em\par +\end{center}} + + + +% V1.6 +% this is a static rubber spacer between the title/authors and the main text +% used for single column text, or when the title appears in the first column +% of two column text (technotes). +\def\@IEEEstatictitlevskip{{\normalfont\normalsize +% adjust spacing to next text +% v1.6b handle peer review papers +\ifCLASSOPTIONpeerreview +% for peer review papers, the same value is used for both title pages +% regardless of the other paper modes + \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip +\else + \ifCLASSOPTIONconference% conference + \vskip 0.6\baselineskip + \else% + \ifCLASSOPTIONtechnote% technote + \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip% + \else% journal uses more space + \vskip 2.5\baselineskip plus 0.75\baselineskip minus 0.375\baselineskip% + \fi + \fi +\fi}} + + +% V1.6 +% This is a dynamically determined rigid spacer between the title/authors +% and the main text. This is used only for single column titles over two +% column text (most common) +% This is bit tricky because we have to ensure that the textheight of the +% main text is an integer multiple of \baselineskip +% otherwise underfull vbox problems may develop in the second column of the +% text on the titlepage +% The possible use of \IEEEpubid must also be taken into account. +\def\@IEEEdynamictitlevspace{{% + % we run within a group so that all the macros can be forgotten when we are done + \long\def\thanks##1{\relax}%don't allow \thanks to run when we evaluate the vbox height + \long\def\IEEEcompsocitemizethanks##1{\relax}%don't allow \IEEEcompsocitemizethanks to run when we evaluate the vbox height + \normalfont\normalsize% we declare more descriptive variable names + \let\@IEEEmaintextheight=\@IEEEtrantmpdimenA%height of the main text columns + \let\@IEEEINTmaintextheight=\@IEEEtrantmpdimenB%height of the main text columns with integer # lines + % set the nominal and minimum values for the title spacer + % the dynamic algorithm will not allow the spacer size to + % become less than \@IEEEMINtitlevspace - instead it will be + % lengthened + % default to journal values + \def\@IEEENORMtitlevspace{2.5\baselineskip}% + \def\@IEEEMINtitlevspace{2\baselineskip}% + % conferences and technotes need tighter spacing + \ifCLASSOPTIONconference%conference + \def\@IEEENORMtitlevspace{1\baselineskip}% + \def\@IEEEMINtitlevspace{0.75\baselineskip}% + \fi + \ifCLASSOPTIONtechnote%technote + \def\@IEEENORMtitlevspace{1\baselineskip}% + \def\@IEEEMINtitlevspace{0.75\baselineskip}% + \fi% + % get the height that the title will take up + \ifCLASSOPTIONpeerreview + \settoheight{\@IEEEmaintextheight}{\vbox{\hsize\textwidth \@IEEEpeerreviewmaketitle}}% + \else + \settoheight{\@IEEEmaintextheight}{\vbox{\hsize\textwidth \@maketitle}}% + \fi + \@IEEEmaintextheight=-\@IEEEmaintextheight% title takes away from maintext, so reverse sign + % add the height of the page textheight + \advance\@IEEEmaintextheight by \textheight% + % correct for title pages using pubid + \ifCLASSOPTIONpeerreview\else + % peerreview papers use the pubid on the cover page only. + % And the cover page uses a static spacer. + \if@IEEEusingpubid\advance\@IEEEmaintextheight by -\@IEEEpubidpullup\fi + \fi% + % subtract off the nominal value of the title bottom spacer + \advance\@IEEEmaintextheight by -\@IEEENORMtitlevspace% + % \topskip takes away some too + \advance\@IEEEmaintextheight by -\topskip% + % calculate the column height of the main text for lines + % now we calculate the main text height as if holding + % an integer number of \normalsize lines after the first + % and discard any excess fractional remainder + % we subtracted the first line, because the first line + % is placed \topskip into the maintext, not \baselineskip like the + % rest of the lines. + \@IEEEINTmaintextheight=\@IEEEmaintextheight% + \divide\@IEEEINTmaintextheight by \baselineskip% + \multiply\@IEEEINTmaintextheight by \baselineskip% + % now we calculate how much the title spacer height will + % have to be reduced from nominal (\@IEEEREDUCEmaintextheight is always + % a positive value) so that the maintext area will contain an integer + % number of normal size lines + % we change variable names here (to avoid confusion) as we no longer + % need \@IEEEINTmaintextheight and can reuse its dimen register + \let\@IEEEREDUCEmaintextheight=\@IEEEINTmaintextheight% + \advance\@IEEEREDUCEmaintextheight by -\@IEEEmaintextheight% + \advance\@IEEEREDUCEmaintextheight by \baselineskip% + % this is the calculated height of the spacer + % we change variable names here (to avoid confusion) as we no longer + % need \@IEEEmaintextheight and can reuse its dimen register + \let\@IEEECOMPENSATElen=\@IEEEmaintextheight% + \@IEEECOMPENSATElen=\@IEEENORMtitlevspace% set the nominal value + % we go with the reduced length if it is smaller than an increase + \ifdim\@IEEEREDUCEmaintextheight < 0.5\baselineskip\relax% + \advance\@IEEECOMPENSATElen by -\@IEEEREDUCEmaintextheight% + % if the resulting spacer is too small back out and go with an increase instead + \ifdim\@IEEECOMPENSATElen<\@IEEEMINtitlevspace\relax% + \advance\@IEEECOMPENSATElen by \baselineskip% + \fi% + \else% + % go with an increase because it is closer to the nominal than a decrease + \advance\@IEEECOMPENSATElen by -\@IEEEREDUCEmaintextheight% + \advance\@IEEECOMPENSATElen by \baselineskip% + \fi% + % set the calculated rigid spacer + \vspace{\@IEEECOMPENSATElen}}} + + + +% V1.6 +% we allow the user access to the last part of the title area +% useful in emergencies such as when a different spacing is needed +% This text is NOT compensated for in the dynamic sizer. +\let\@IEEEaftertitletext=\relax +\long\def\IEEEaftertitletext#1{\def\@IEEEaftertitletext{#1}} + +% V1.7 provide a way for users to enter abstract and keywords +% into the onecolumn title are. This text is compensated for +% in the dynamic sizer. +\let\@IEEEcompsoctitleabstractindextext=\relax +\long\def\IEEEcompsoctitleabstractindextext#1{\def\@IEEEcompsoctitleabstractindextext{#1}} +% V1.7 provide a way for users to get the \@IEEEcompsoctitleabstractindextext if +% not in compsoc journal mode - this way abstract and keywords can be placed +% in their conventional position if not in compsoc mode. +\def\IEEEdisplaynotcompsoctitleabstractindextext{% +\ifCLASSOPTIONcompsoc% display if compsoc conf +\ifCLASSOPTIONconference\@IEEEcompsoctitleabstractindextext\fi +\else% or if not compsoc +\@IEEEcompsoctitleabstractindextext\fi} + + +% command to allow alteration of baselinestretch, but only if the current +% baselineskip is unity. Used to tweak the compsoc abstract and keywords line spacing. +\def\@IEEEtweakunitybaselinestretch#1{{\def\baselinestretch{1}\selectfont +\global\@tempskipa\baselineskip}\ifnum\@tempskipa=\baselineskip% +\def\baselinestretch{#1}\selectfont\fi\relax} + + +% abstract and keywords are in \small, except +% for 9pt docs in which they are in \footnotesize +% Because 9pt docs use an 8pt footnotesize, \small +% becomes a rather awkward 8.5pt +\def\@IEEEabskeysecsize{\small} +\ifx\CLASSOPTIONpt\@IEEEptsizenine + \def\@IEEEabskeysecsize{\footnotesize} +\fi + +% compsoc journals use \footnotesize, compsoc conferences use normalsize +\@IEEEcompsoconly{\def\@IEEEabskeysecsize{\footnotesize}} +\@IEEEcompsocconfonly{\def\@IEEEabskeysecsize{\normalsize}} + + + + +% V1.6 have abstract and keywords strip leading spaces, pars and newlines +% so that spacing is more tightly controlled. +\def\abstract{\normalfont + \if@twocolumn + \par\@IEEEabskeysecsize\bfseries\leavevmode\kern-1pt\textit{\abstractname}---\relax + \else + \begin{center}\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\end{center}\quotation\@IEEEabskeysecsize + \fi\@IEEEgobbleleadPARNLSP} +% V1.6 IEEE wants only 1 pica from end of abstract to introduction heading when in +% conference mode (the heading already has this much above it) +\def\endabstract{\relax\ifCLASSOPTIONconference\vspace{0ex}\else\vspace{1.34ex}\fi\par\if@twocolumn\else\endquotation\fi + \normalfont\normalsize} + +\def\IEEEkeywords{\normalfont + \if@twocolumn + \@IEEEabskeysecsize\bfseries\leavevmode\kern-1pt\textit{\IEEEkeywordsname}---\relax + \else + \begin{center}\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\end{center}\quotation\@IEEEabskeysecsize + \fi\itshape\@IEEEgobbleleadPARNLSP} +\def\endIEEEkeywords{\relax\ifCLASSOPTIONtechnote\vspace{1.34ex}\else\vspace{0.5ex}\fi + \par\if@twocolumn\else\endquotation\fi% + \normalfont\normalsize} + +% V1.7 compsoc keywords index terms +\ifCLASSOPTIONcompsoc + \ifCLASSOPTIONconference% compsoc conference +\def\abstract{\normalfont + \begin{center}\@IEEEabskeysecsize\textbf{\large\abstractname}\end{center}\vskip 0.5\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip + \if@twocolumn\else\quotation\fi\itshape\@IEEEabskeysecsize% + \par\@IEEEgobbleleadPARNLSP} +\def\IEEEkeywords{\normalfont\vskip 1.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip + \begin{center}\@IEEEabskeysecsize\textbf{\large\IEEEkeywordsname}\end{center}\vskip 0.5\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip + \if@twocolumn\else\quotation\fi\itshape\@IEEEabskeysecsize% + \par\@IEEEgobbleleadPARNLSP} + \else% compsoc not conference +\def\abstract{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\sffamily + \if@twocolumn + \@IEEEabskeysecsize\noindent\textbf{\abstractname}---\relax + \else + \begin{center}\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\end{center}\quotation\@IEEEabskeysecsize% + \fi\@IEEEgobbleleadPARNLSP} +\def\IEEEkeywords{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\sffamily + \if@twocolumn + \@IEEEabskeysecsize\vskip 0.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip\noindent + \textbf{\IEEEkeywordsname}---\relax + \else + \begin{center}\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\end{center}\quotation\@IEEEabskeysecsize% + \fi\@IEEEgobbleleadPARNLSP} + \fi +\fi + + + +% gobbles all leading \, \\ and \par, upon finding first token that +% is not a \ , \\ or a \par, it ceases and returns that token +% +% used to strip leading \, \\ and \par from the input +% so that such things in the beginning of an environment will not +% affect the formatting of the text +\long\def\@IEEEgobbleleadPARNLSP#1{\let\@IEEEswallowthistoken=0% +\let\@IEEEgobbleleadPARNLSPtoken#1% +\let\@IEEEgobbleleadPARtoken=\par% +\let\@IEEEgobbleleadNLtoken=\\% +\let\@IEEEgobbleleadSPtoken=\ % +\def\@IEEEgobbleleadSPMACRO{\ }% +\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadPARtoken% +\let\@IEEEswallowthistoken=1% +\fi% +\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadNLtoken% +\let\@IEEEswallowthistoken=1% +\fi% +\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPtoken% +\let\@IEEEswallowthistoken=1% +\fi% +% a control space will come in as a macro +% when it is the last one on a line +\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPMACRO% +\let\@IEEEswallowthistoken=1% +\fi% +% if we have to swallow this token, do so and taste the next one +% else spit it out and stop gobbling +\ifx\@IEEEswallowthistoken 1\let\@IEEEnextgobbleleadPARNLSP=\@IEEEgobbleleadPARNLSP\else% +\let\@IEEEnextgobbleleadPARNLSP=#1\fi% +\@IEEEnextgobbleleadPARNLSP}% + + + + +% TITLING OF SECTIONS +\def\@IEEEsectpunct{:\ \,} % Punctuation after run-in section heading (headings which are + % part of the paragraphs), need little bit more than a single space + % spacing from section number to title +% compsoc conferences use regular period/space punctuation +\ifCLASSOPTIONcompsoc +\ifCLASSOPTIONconference +\def\@IEEEsectpunct{.\ } +\fi\fi + +\def\@seccntformat#1{\hb@xt@ 1.4em{\csname the#1dis\endcsname\hss\relax}} +\def\@seccntformatinl#1{\hb@xt@ 1.1em{\csname the#1dis\endcsname\hss\relax}} +\def\@seccntformatch#1{\csname the#1dis\endcsname\hskip 1em\relax} + +\ifCLASSOPTIONcompsoc +% compsoc journals need extra spacing +\ifCLASSOPTIONconference\else +\def\@seccntformat#1{\csname the#1dis\endcsname\hskip 1em\relax} +\fi\fi + +%v1.7 put {} after #6 to allow for some types of user font control +%and use \@@par rather than \par +\def\@sect#1#2#3#4#5#6[#7]#8{% + \ifnum #2>\c@secnumdepth + \let\@svsec\@empty + \else + \refstepcounter{#1}% + % load section label and spacer into \@svsec + \ifnum #2=1 + \protected@edef\@svsec{\@seccntformatch{#1}\relax}% + \else + \ifnum #2>2 + \protected@edef\@svsec{\@seccntformatinl{#1}\relax}% + \else + \protected@edef\@svsec{\@seccntformat{#1}\relax}% + \fi + \fi + \fi% + \@tempskipa #5\relax + \ifdim \@tempskipa>\z@% tempskipa determines whether is treated as a high + \begingroup #6{\relax% or low level heading + \noindent % subsections are NOT indented + % print top level headings. \@svsec is label, #8 is heading title + % IEEE does not block indent the section title text, it flows like normal + {\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\@@par}}% + \endgroup + \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else + \protect\numberline{\csname the#1\endcsname}\fi#7}% + \else % printout low level headings + % svsechd seems to swallow the trailing space, protect it with \mbox{} + % got rid of sectionmark stuff + \def\@svsechd{#6{\hskip #3\relax\@svsec #8\@IEEEsectpunct\mbox{}}% + \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else + \protect\numberline{\csname the#1\endcsname}\fi#7}}% + \fi%skip down + \@xsect{#5}} + + +% section* handler +%v1.7 put {} after #4 to allow for some types of user font control +%and use \@@par rather than \par +\def\@ssect#1#2#3#4#5{\@tempskipa #3\relax + \ifdim \@tempskipa>\z@ + %\begingroup #4\@hangfrom{\hskip #1}{\interlinepenalty \@M #5\par}\endgroup + % IEEE does not block indent the section title text, it flows like normal + \begingroup \noindent #4{\relax{\hskip #1}{\interlinepenalty \@M #5\@@par}}\endgroup + % svsechd swallows the trailing space, protect it with \mbox{} + \else \def\@svsechd{#4{\hskip #1\relax #5\@IEEEsectpunct\mbox{}}}\fi + \@xsect{#3}} + + +%% SECTION heading spacing and font +%% +% arguments are: #1 - sectiontype name +% (for \@sect) #2 - section level +% #3 - section heading indent +% #4 - top separation (absolute value used, neg indicates not to indent main text) +% If negative, make stretch parts negative too! +% #5 - (absolute value used) positive: bottom separation after heading, +% negative: amount to indent main text after heading +% Both #4 and #5 negative means to indent main text and use negative top separation +% #6 - font control +% You've got to have \normalfont\normalsize in the font specs below to prevent +% trouble when you do something like: +% \section{Note}{\ttfamily TT-TEXT} is known to ... +% IEEE sometimes REALLY stretches the area before a section +% heading by up to about 0.5in. However, it may not be a good +% idea to let LaTeX have quite this much rubber. +\ifCLASSOPTIONconference% +% IEEE wants section heading spacing to decrease for conference mode +\def\section{\@startsection{section}{1}{\z@}{1.5ex plus 1.5ex minus 0.5ex}% +{1sp}{\normalfont\normalsize\centering\scshape}}% +\def\subsection{\@startsection{subsection}{2}{\z@}{1.5ex plus 1.5ex minus 0.5ex}% +{1sp}{\normalfont\normalsize\itshape}}% +\else % for journals +\def\section{\@startsection{section}{1}{\z@}{3.0ex plus 1.5ex minus 1.5ex}% V1.6 3.0ex from 3.5ex +{0.7ex plus 1ex minus 0ex}{\normalfont\normalsize\centering\scshape}}% +\def\subsection{\@startsection{subsection}{2}{\z@}{3.5ex plus 1.5ex minus 1.5ex}% +{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\itshape}}% +\fi + +% for both journals and conferences +% decided to put in a little rubber above the section, might help somebody +\def\subsubsection{\@startsection{subsubsection}{3}{\parindent}{0ex plus 0.1ex minus 0.1ex}% +{0ex}{\normalfont\normalsize\itshape}}% +\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{0ex plus 0.1ex minus 0.1ex}% +{0ex}{\normalfont\normalsize\itshape}}% + + +% compsoc +\ifCLASSOPTIONcompsoc +\ifCLASSOPTIONconference +% compsoc conference +\def\section{\@startsection{section}{1}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}% +{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}{\normalfont\large\bfseries}}% +\def\subsection{\@startsection{subsection}{2}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}% +{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}{\normalfont\sublargesize\bfseries}}% +\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}% +{0ex}{\normalfont\normalsize\bfseries}}% +\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{0ex plus 0.1ex minus 0.1ex}% +{0ex}{\normalfont\normalsize}}% +\else% compsoc journals +% use negative top separation as compsoc journals do not indent paragraphs after section titles +\def\section{\@startsection{section}{1}{\z@}{-3ex plus -2ex minus -1.5ex}% +{0.7ex plus 1ex minus 0ex}{\normalfont\large\sffamily\bfseries\scshape}}% +% Note that subsection and smaller may not be correct for the Computer Society, +% I have to look up an example. +\def\subsection{\@startsection{subsection}{2}{\z@}{-3.5ex plus -1.5ex minus -1.5ex}% +{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\sffamily\bfseries}}% +\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-2.5ex plus -1ex minus -1ex}% +{0.5ex plus 0.5ex minus 0ex}{\normalfont\normalsize\sffamily\itshape}}% +\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{-0ex plus -0.1ex minus -0.1ex}% +{0ex}{\normalfont\normalsize}}% +\fi\fi + + + + +%% ENVIRONMENTS +% "box" symbols at end of proofs +\def\IEEEQEDclosed{\mbox{\rule[0pt]{1.3ex}{1.3ex}}} % for a filled box +% V1.6 some journals use an open box instead that will just fit around a closed one +\def\IEEEQEDopen{{\setlength{\fboxsep}{0pt}\setlength{\fboxrule}{0.2pt}\fbox{\rule[0pt]{0pt}{1.3ex}\rule[0pt]{1.3ex}{0pt}}}} +\ifCLASSOPTIONcompsoc +\def\IEEEQED{\IEEEQEDopen} % default to open for compsoc +\else +\def\IEEEQED{\IEEEQEDclosed} % otherwise default to closed +\fi + +% v1.7 name change to avoid namespace collision with amsthm. Also add support +% for an optional argument. +\def\IEEEproof{\@ifnextchar[{\@IEEEproof}{\@IEEEproof[\IEEEproofname]}} +\def\@IEEEproof[#1]{\par\noindent\hspace{2em}{\itshape #1: }} +\def\endIEEEproof{\hspace*{\fill}~\IEEEQED\par} + + +%\itemindent is set to \z@ by list, so define new temporary variable +\newdimen\@IEEEtmpitemindent +\def\@begintheorem#1#2{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily\trivlist% + \item[\hskip \labelsep{\indent\itshape #1\ #2:}]\itemindent\@IEEEtmpitemindent} +\def\@opargbegintheorem#1#2#3{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily \trivlist% +% V1.6 IEEE is back to using () around theorem names which are also in italics +% Thanks to Christian Peel for reporting this. + \item[\hskip\labelsep{\indent\itshape #1\ #2\ (#3):}]\itemindent\@IEEEtmpitemindent} +% V1.7 remove bogus \unskip that caused equations in theorems to collide with +% lines below. +\def\@endtheorem{\endtrivlist} + +% V1.6 +% display command for the section the theorem is in - so that \thesection +% is not used as this will be in Roman numerals when we want arabic. +% LaTeX2e uses \def\@thmcounter#1{\noexpand\arabic{#1}} for the theorem number +% (second part) display and \def\@thmcountersep{.} as a separator. +% V1.7 intercept calls to the section counter and reroute to \@IEEEthmcounterinsection +% to allow \appendix(ices} to override as needed. +% +% special handler for sections, allows appendix(ices) to override +\gdef\@IEEEthmcounterinsection#1{\arabic{#1}} +% string macro +\edef\@IEEEstringsection{section} + +% redefine the #1#2[#3] form of newtheorem to use a hook to \@IEEEthmcounterinsection +% if section in_counter is used +\def\@xnthm#1#2[#3]{% + \expandafter\@ifdefinable\csname #1\endcsname + {\@definecounter{#1}\@newctr{#1}[#3]% + \edef\@IEEEstringtmp{#3} + \ifx\@IEEEstringtmp\@IEEEstringsection + \expandafter\xdef\csname the#1\endcsname{% + \noexpand\@IEEEthmcounterinsection{#3}\@thmcountersep + \@thmcounter{#1}}% + \else + \expandafter\xdef\csname the#1\endcsname{% + \expandafter\noexpand\csname the#3\endcsname \@thmcountersep + \@thmcounter{#1}}% + \fi + \global\@namedef{#1}{\@thm{#1}{#2}}% + \global\@namedef{end#1}{\@endtheorem}}} + + + +%% SET UP THE DEFAULT PAGESTYLE +\ps@headings +\pagenumbering{arabic} + +% normally the page counter starts at 1 +\setcounter{page}{1} +% however, for peerreview the cover sheet is page 0 or page -1 +% (for duplex printing) +\ifCLASSOPTIONpeerreview + \if@twoside + \setcounter{page}{-1} + \else + \setcounter{page}{0} + \fi +\fi + +% standard book class behavior - let bottom line float up and down as +% needed when single sided +\ifCLASSOPTIONtwoside\else\raggedbottom\fi +% if two column - turn on twocolumn, allow word spacings to stretch more and +% enforce a rigid position for the last lines +\ifCLASSOPTIONtwocolumn +% the peer review option delays invoking twocolumn + \ifCLASSOPTIONpeerreview\else + \twocolumn + \fi +\sloppy +\flushbottom +\fi + + + + +% \APPENDIX and \APPENDICES definitions + +% This is the \@ifmtarg command from the LaTeX ifmtarg package +% by Peter Wilson (CUA) and Donald Arseneau +% \@ifmtarg is used to determine if an argument to a command +% is present or not. +% For instance: +% \@ifmtarg{#1}{\typeout{empty}}{\typeout{has something}} +% \@ifmtarg is used with our redefined \section command if +% \appendices is invoked. +% The command \section will behave slightly differently depending +% on whether the user specifies a title: +% \section{My appendix title} +% or not: +% \section{} +% This way, we can eliminate the blank lines where the title +% would be, and the unneeded : after Appendix in the table of +% contents +\begingroup +\catcode`\Q=3 +\long\gdef\@ifmtarg#1{\@xifmtarg#1QQ\@secondoftwo\@firstoftwo\@nil} +\long\gdef\@xifmtarg#1#2Q#3#4#5\@nil{#4} +\endgroup +% end of \@ifmtarg defs + + +% V1.7 +% command that allows the one time saving of the original definition +% of section to \@IEEEappendixsavesection for \appendix or \appendices +% we don't save \section here as it may be redefined later by other +% packages (hyperref.sty, etc.) +\def\@IEEEsaveoriginalsectiononce{\let\@IEEEappendixsavesection\section +\let\@IEEEsaveoriginalsectiononce\relax} + +% neat trick to grab and process the argument from \section{argument} +% we process differently if the user invoked \section{} with no +% argument (title) +% note we reroute the call to the old \section* +\def\@IEEEprocessthesectionargument#1{% +\@ifmtarg{#1}{% +\@IEEEappendixsavesection*{\appendixname~\thesectiondis}% +\addcontentsline{toc}{section}{\appendixname~\thesection}}{% +\@IEEEappendixsavesection*{\appendixname~\thesectiondis \\* #1}% +\addcontentsline{toc}{section}{\appendixname~\thesection: #1}}} + +% we use this if the user calls \section{} after +% \appendix-- which has no meaning. So, we ignore the +% command and its argument. Then, warn the user. +\def\@IEEEdestroythesectionargument#1{\typeout{** WARNING: Ignoring useless +\protect\section\space in Appendix (line \the\inputlineno).}} + + +% remember \thesection forms will be displayed in \ref calls +% and in the Table of Contents. +% The \sectiondis form is used in the actual heading itself + +% appendix command for one single appendix +% normally has no heading. However, if you want a +% heading, you can do so via the optional argument: +% \appendix[Optional Heading] +\def\appendix{\relax} +\renewcommand{\appendix}[1][]{\@IEEEsaveoriginalsectiononce\par + % v1.6 keep hyperref's identifiers unique + \gdef\theHsection{Appendix.A}% + % v1.6 adjust hyperref's string name for the section + \xdef\Hy@chapapp{appendix}% + \setcounter{section}{0}% + \setcounter{subsection}{0}% + \setcounter{subsubsection}{0}% + \setcounter{paragraph}{0}% + \gdef\thesection{A}% + \gdef\thesectiondis{}% + \gdef\thesubsection{\Alph{subsection}}% + \gdef\@IEEEthmcounterinsection##1{A} + \refstepcounter{section}% update the \ref counter + \@ifmtarg{#1}{\@IEEEappendixsavesection*{\appendixname}% + \addcontentsline{toc}{section}{\appendixname}}{% + \@IEEEappendixsavesection*{\appendixname~\\* #1}% + \addcontentsline{toc}{section}{\appendixname: #1}}% + % redefine \section command for appendix + % leave \section* as is + \def\section{\@ifstar{\@IEEEappendixsavesection*}{% + \@IEEEdestroythesectionargument}}% throw out the argument + % of the normal form +} + + + +% appendices command for multiple appendices +% user then calls \section with an argument (possibly empty) to +% declare the individual appendices +\def\appendices{\@IEEEsaveoriginalsectiononce\par + % v1.6 keep hyperref's identifiers unique + \gdef\theHsection{Appendix.\Alph{section}}% + % v1.6 adjust hyperref's string name for the section + \xdef\Hy@chapapp{appendix}% + \setcounter{section}{-1}% we want \refstepcounter to use section 0 + \setcounter{subsection}{0}% + \setcounter{subsubsection}{0}% + \setcounter{paragraph}{0}% + \ifCLASSOPTIONromanappendices% + \gdef\thesection{\Roman{section}}% + \gdef\thesectiondis{\Roman{section}}% + \@IEEEcompsocconfonly{\gdef\thesectiondis{\Roman{section}.}}% + \gdef\@IEEEthmcounterinsection##1{A\arabic{##1}} + \else% + \gdef\thesection{\Alph{section}}% + \gdef\thesectiondis{\Alph{section}}% + \@IEEEcompsocconfonly{\gdef\thesectiondis{\Alph{section}.}}% + \gdef\@IEEEthmcounterinsection##1{\Alph{##1}} + \fi% + \refstepcounter{section}% update the \ref counter + \setcounter{section}{0}% NEXT \section will be the FIRST appendix + % redefine \section command for appendices + % leave \section* as is + \def\section{\@ifstar{\@IEEEappendixsavesection*}{% process the *-form + \refstepcounter{section}% or is a new section so, + \@IEEEprocessthesectionargument}}% process the argument + % of the normal form +} + + + +% \IEEEPARstart +% Definition for the big two line drop cap letter at the beginning of the +% first paragraph of journal papers. The first argument is the first letter +% of the first word, the second argument is the remaining letters of the +% first word which will be rendered in upper case. +% In V1.6 this has been completely rewritten to: +% +% 1. no longer have problems when the user begins an environment +% within the paragraph that uses \IEEEPARstart. +% 2. auto-detect and use the current font family +% 3. revise handling of the space at the end of the first word so that +% interword glue will now work as normal. +% 4. produce correctly aligned edges for the (two) indented lines. +% +% We generalize things via control macros - playing with these is fun too. +% +% V1.7 added more control macros to make it easy for IEEEtrantools.sty users +% to change the font style. +% +% the number of lines that are indented to clear it +% may need to increase if using decenders +\def\@IEEEPARstartDROPLINES{2} +% minimum number of lines left on a page to allow a \@IEEEPARstart +% Does not take into consideration rubber shrink, so it tends to +% be overly cautious +\def\@IEEEPARstartMINPAGELINES{2} +% V1.7 the height of the drop cap is adjusted to match the height of this text +% in the current font (when \IEEEPARstart is called). +\def\@IEEEPARstartHEIGHTTEXT{T} +% the depth the letter is lowered below the baseline +% the height (and size) of the letter is determined by the sum +% of this value and the height of the \@IEEEPARstartHEIGHTTEXT in the current +% font. It is a good idea to set this value in terms of the baselineskip +% so that it can respond to changes therein. +\def\@IEEEPARstartDROPDEPTH{1.1\baselineskip} +% V1.7 the font the drop cap will be rendered in, +% can take zero or one argument. +\def\@IEEEPARstartFONTSTYLE{\bfseries} +% V1.7 any additional, non-font related commands needed to modify +% the drop cap letter, can take zero or one argument. +\def\@IEEEPARstartCAPSTYLE{\MakeUppercase} +% V1.7 the font that will be used to render the rest of the word, +% can take zero or one argument. +\def\@IEEEPARstartWORDFONTSTYLE{\relax} +% V1.7 any additional, non-font related commands needed to modify +% the rest of the word, can take zero or one argument. +\def\@IEEEPARstartWORDCAPSTYLE{\MakeUppercase} +% This is the horizontal separation distance from the drop letter to the main text. +% Lengths that depend on the font (e.g., ex, em, etc.) will be referenced +% to the font that is active when \IEEEPARstart is called. +\def\@IEEEPARstartSEP{0.15em} +% V1.7 horizontal offset applied to the left of the drop cap. +\def\@IEEEPARstartHOFFSET{0em} +% V1.7 Italic correction command applied at the end of the drop cap. +\def\@IEEEPARstartITLCORRECT{\/} + +% V1.7 compoc uses nonbold drop cap and small caps word style +\ifCLASSOPTIONcompsoc +\def\@IEEEPARstartFONTSTYLE{\mdseries} +\def\@IEEEPARstartWORDFONTSTYLE{\scshape} +\def\@IEEEPARstartWORDCAPSTYLE{\relax} +\fi + +% definition of \IEEEPARstart +% THIS IS A CONTROLLED SPACING AREA, DO NOT ALLOW SPACES WITHIN THESE LINES +% +% The token \@IEEEPARstartfont will be globally defined after the first use +% of \IEEEPARstart and will be a font command which creates the big letter +% The first argument is the first letter of the first word and the second +% argument is the rest of the first word(s). +\def\IEEEPARstart#1#2{\par{% +% if this page does not have enough space, break it and lets start +% on a new one +\@IEEEtranneedspace{\@IEEEPARstartMINPAGELINES\baselineskip}{\relax}% +% V1.7 move this up here in case user uses \textbf for \@IEEEPARstartFONTSTYLE +% which uses command \leavevmode which causes an unwanted \indent to be issued +\noindent +% calculate the desired height of the big letter +% it extends from the top of \@IEEEPARstartHEIGHTTEXT in the current font +% down to \@IEEEPARstartDROPDEPTH below the current baseline +\settoheight{\@IEEEtrantmpdimenA}{\@IEEEPARstartHEIGHTTEXT}% +\addtolength{\@IEEEtrantmpdimenA}{\@IEEEPARstartDROPDEPTH}% +% extract the name of the current font in bold +% and place it in \@IEEEPARstartFONTNAME +\def\@IEEEPARstartGETFIRSTWORD##1 ##2\relax{##1}% +{\@IEEEPARstartFONTSTYLE{\selectfont\edef\@IEEEPARstartFONTNAMESPACE{\fontname\font\space}% +\xdef\@IEEEPARstartFONTNAME{\expandafter\@IEEEPARstartGETFIRSTWORD\@IEEEPARstartFONTNAMESPACE\relax}}}% +% define a font based on this name with a point size equal to the desired +% height of the drop letter +\font\@IEEEPARstartsubfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenA\relax% +% save this value as a counter (integer) value (sp points) +\@IEEEtrantmpcountA=\@IEEEtrantmpdimenA% +% now get the height of the actual letter produced by this font size +\settoheight{\@IEEEtrantmpdimenB}{\@IEEEPARstartsubfont\@IEEEPARstartCAPSTYLE{#1}}% +% If something bogus happens like the first argument is empty or the +% current font is strange, do not allow a zero height. +\ifdim\@IEEEtrantmpdimenB=0pt\relax% +\typeout{** WARNING: IEEEPARstart drop letter has zero height! (line \the\inputlineno)}% +\typeout{ Forcing the drop letter font size to 10pt.}% +\@IEEEtrantmpdimenB=10pt% +\fi% +% and store it as a counter +\@IEEEtrantmpcountB=\@IEEEtrantmpdimenB% +% Since a font size doesn't exactly correspond to the height of the capital +% letters in that font, the actual height of the letter, \@IEEEtrantmpcountB, +% will be less than that desired, \@IEEEtrantmpcountA +% we need to raise the font size, \@IEEEtrantmpdimenA +% by \@IEEEtrantmpcountA / \@IEEEtrantmpcountB +% But, TeX doesn't have floating point division, so we have to use integer +% division. Hence the use of the counters. +% We need to reduce the denominator so that the loss of the remainder will +% have minimal affect on the accuracy of the result +\divide\@IEEEtrantmpcountB by 200% +\divide\@IEEEtrantmpcountA by \@IEEEtrantmpcountB% +% Then reequalize things when we use TeX's ability to multiply by +% floating point values +\@IEEEtrantmpdimenB=0.005\@IEEEtrantmpdimenA% +\multiply\@IEEEtrantmpdimenB by \@IEEEtrantmpcountA% +% \@IEEEPARstartfont is globaly set to the calculated font of the big letter +% We need to carry this out of the local calculation area to to create the +% big letter. +\global\font\@IEEEPARstartfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenB% +% Now set \@IEEEtrantmpdimenA to the width of the big letter +% We need to carry this out of the local calculation area to set the +% hanging indent +\settowidth{\global\@IEEEtrantmpdimenA}{\@IEEEPARstartfont +\@IEEEPARstartCAPSTYLE{#1\@IEEEPARstartITLCORRECT}}}% +% end of the isolated calculation environment +% add in the extra clearance we want +\advance\@IEEEtrantmpdimenA by \@IEEEPARstartSEP\relax% +% add in the optional offset +\advance\@IEEEtrantmpdimenA by \@IEEEPARstartHOFFSET\relax% +% V1.7 don't allow negative offsets to produce negative hanging indents +\@IEEEtrantmpdimenB\@IEEEtrantmpdimenA +\ifnum\@IEEEtrantmpdimenB < 0 \@IEEEtrantmpdimenB 0pt\fi +% \@IEEEtrantmpdimenA has the width of the big letter plus the +% separation space and \@IEEEPARstartfont is the font we need to use +% Now, we make the letter and issue the hanging indent command +% The letter is placed in a box of zero width and height so that other +% text won't be displaced by it. +\hangindent\@IEEEtrantmpdimenB\hangafter=-\@IEEEPARstartDROPLINES% +\makebox[0pt][l]{\hspace{-\@IEEEtrantmpdimenA}% +\raisebox{-\@IEEEPARstartDROPDEPTH}[0pt][0pt]{\hspace{\@IEEEPARstartHOFFSET}% +\@IEEEPARstartfont\@IEEEPARstartCAPSTYLE{#1\@IEEEPARstartITLCORRECT}% +\hspace{\@IEEEPARstartSEP}}}% +{\@IEEEPARstartWORDFONTSTYLE{\@IEEEPARstartWORDCAPSTYLE{\selectfont#2}}}} + + + + + + +% determines if the space remaining on a given page is equal to or greater +% than the specified space of argument one +% if not, execute argument two (only if the remaining space is greater than zero) +% and issue a \newpage +% +% example: \@IEEEtranneedspace{2in}{\vfill} +% +% Does not take into consideration rubber shrinkage, so it tends to +% be overly cautious +% Based on an example posted by Donald Arseneau +% Note this macro uses \@IEEEtrantmpdimenB internally for calculations, +% so DO NOT PASS \@IEEEtrantmpdimenB to this routine +% if you need a dimen register, import with \@IEEEtrantmpdimenA instead +\def\@IEEEtranneedspace#1#2{\penalty-100\begingroup%shield temp variable +\@IEEEtrantmpdimenB\pagegoal\advance\@IEEEtrantmpdimenB-\pagetotal% space left +\ifdim #1>\@IEEEtrantmpdimenB\relax% not enough space left +\ifdim\@IEEEtrantmpdimenB>\z@\relax #2\fi% +\newpage% +\fi\endgroup} + + + +% IEEEbiography ENVIRONMENT +% Allows user to enter biography leaving place for picture (adapts to font size) +% As of V1.5, a new optional argument allows you to have a real graphic! +% V1.5 and later also fixes the "colliding biographies" which could happen when a +% biography's text was shorter than the space for the photo. +% MDS 7/2001 +% V1.6 prevent multiple biographies from making multiple TOC entries +\newif\if@IEEEbiographyTOCentrynotmade +\global\@IEEEbiographyTOCentrynotmadetrue + +% biography counter so hyperref can jump directly to the biographies +% and not just the previous section +\newcounter{IEEEbiography} +\setcounter{IEEEbiography}{0} + +% photo area size +\def\@IEEEBIOphotowidth{1.0in} % width of the biography photo area +\def\@IEEEBIOphotodepth{1.25in} % depth (height) of the biography photo area +% area cleared for photo +\def\@IEEEBIOhangwidth{1.14in} % width cleared for the biography photo area +\def\@IEEEBIOhangdepth{1.25in} % depth cleared for the biography photo area + % actual depth will be a multiple of + % \baselineskip, rounded up +\def\@IEEEBIOskipN{4\baselineskip}% nominal value of the vskip above the biography + +\newenvironment{IEEEbiography}[2][]{\normalfont\@IEEEcompsoconly{\sffamily}\footnotesize% +\unitlength 1in\parskip=0pt\par\parindent 1em\interlinepenalty500% +% we need enough space to support the hanging indent +% the nominal value of the spacer +% and one extra line for good measure +\@IEEEtrantmpdimenA=\@IEEEBIOhangdepth% +\advance\@IEEEtrantmpdimenA by \@IEEEBIOskipN% +\advance\@IEEEtrantmpdimenA by 1\baselineskip% +% if this page does not have enough space, break it and lets start +% with a new one +\@IEEEtranneedspace{\@IEEEtrantmpdimenA}{\relax}% +% nominal spacer can strech, not shrink use 1fil so user can out stretch with \vfill +\vskip \@IEEEBIOskipN plus 1fil minus 0\baselineskip% +% the default box for where the photo goes +\def\@IEEEtempbiographybox{{\setlength{\fboxsep}{0pt}\framebox{% +\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}\centering PLACE\\ PHOTO\\ HERE \end{minipage}}}}% +% +% detect if the optional argument was supplied, this requires the +% \@ifmtarg command as defined in the appendix section above +% and if so, override the default box with what they want +\@ifmtarg{#1}{\relax}{\def\@IEEEtempbiographybox{\mbox{\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}% +\centering% +#1% +\end{minipage}}}}% end if optional argument supplied +% Make an entry into the table of contents only if we have not done so before +\if@IEEEbiographyTOCentrynotmade% +% link labels to the biography counter so hyperref will jump +% to the biography, not the previous section +\setcounter{IEEEbiography}{-1}% +\refstepcounter{IEEEbiography}% +\addcontentsline{toc}{section}{Biographies}% +\global\@IEEEbiographyTOCentrynotmadefalse% +\fi% +% one more biography +\refstepcounter{IEEEbiography}% +% Make an entry for this name into the table of contents +\addcontentsline{toc}{subsection}{#2}% +% V1.6 properly handle if a new paragraph should occur while the +% hanging indent is still active. Do this by redefining \par so +% that it will not start a new paragraph. (But it will appear to the +% user as if it did.) Also, strip any leading pars, newlines, or spaces. +\let\@IEEEBIOORGparCMD=\par% save the original \par command +\edef\par{\hfil\break\indent}% the new \par will not be a "real" \par +\settoheight{\@IEEEtrantmpdimenA}{\@IEEEtempbiographybox}% get height of biography box +\@IEEEtrantmpdimenB=\@IEEEBIOhangdepth% +\@IEEEtrantmpcountA=\@IEEEtrantmpdimenB% countA has the hang depth +\divide\@IEEEtrantmpcountA by \baselineskip% calculates lines needed to produce the hang depth +\advance\@IEEEtrantmpcountA by 1% ensure we overestimate +% set the hanging indent +\hangindent\@IEEEBIOhangwidth% +\hangafter-\@IEEEtrantmpcountA% +% reference the top of the photo area to the top of a capital T +\settoheight{\@IEEEtrantmpdimenB}{\mbox{T}}% +% set the photo box, give it zero width and height so as not to disturb anything +\noindent\makebox[0pt][l]{\hspace{-\@IEEEBIOhangwidth}\raisebox{\@IEEEtrantmpdimenB}[0pt][0pt]{% +\raisebox{-\@IEEEBIOphotodepth}[0pt][0pt]{\@IEEEtempbiographybox}}}% +% now place the author name and begin the bio text +\noindent\textbf{#2\ }\@IEEEgobbleleadPARNLSP}{\relax\let\par=\@IEEEBIOORGparCMD\par% +% 7/2001 V1.5 detect when the biography text is shorter than the photo area +% and pad the unused area - preventing a collision from the next biography entry +% MDS +\ifnum \prevgraf <\@IEEEtrantmpcountA\relax% detect when the biography text is shorter than the photo + \advance\@IEEEtrantmpcountA by -\prevgraf% calculate how many lines we need to pad + \advance\@IEEEtrantmpcountA by -1\relax% we compensate for the fact that we indented an extra line + \@IEEEtrantmpdimenA=\baselineskip% calculate the length of the padding + \multiply\@IEEEtrantmpdimenA by \@IEEEtrantmpcountA% + \noindent\rule{0pt}{\@IEEEtrantmpdimenA}% insert an invisible support strut +\fi% +\par\normalfont} + + + +% V1.6 +% added biography without a photo environment +\newenvironment{IEEEbiographynophoto}[1]{% +% Make an entry into the table of contents only if we have not done so before +\if@IEEEbiographyTOCentrynotmade% +% link labels to the biography counter so hyperref will jump +% to the biography, not the previous section +\setcounter{IEEEbiography}{-1}% +\refstepcounter{IEEEbiography}% +\addcontentsline{toc}{section}{Biographies}% +\global\@IEEEbiographyTOCentrynotmadefalse% +\fi% +% one more biography +\refstepcounter{IEEEbiography}% +% Make an entry for this name into the table of contents +\addcontentsline{toc}{subsection}{#1}% +\normalfont\@IEEEcompsoconly{\sffamily}\footnotesize\interlinepenalty500% +\vskip 4\baselineskip plus 1fil minus 0\baselineskip% +\parskip=0pt\par% +\noindent\textbf{#1\ }\@IEEEgobbleleadPARNLSP}{\relax\par\normalfont} + + +% provide the user with some old font commands +% got this from article.cls +\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm} +\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf} +\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt} +\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf} +\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit} +\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl} +\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc} +\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal} +\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal} + + +% SPECIAL PAPER NOTICE COMMANDS +% +% holds the special notice text +\def\@IEEEspecialpapernotice{\relax} + +% for special papers, like invited papers, the user can do: +% \IEEEspecialpapernotice{(Invited Paper)} before \maketitle +\def\IEEEspecialpapernotice#1{\ifCLASSOPTIONconference% +\def\@IEEEspecialpapernotice{{\Large#1\vspace*{1em}}}% +\else% +\def\@IEEEspecialpapernotice{{\\*[1.5ex]\sublargesize\textit{#1}}\vspace*{-2ex}}% +\fi} + + + + +% PUBLISHER ID COMMANDS +% to insert a publisher's ID footer +% V1.6 \IEEEpubid has been changed so that the change in page size and style +% occurs in \maketitle. \IEEEpubid must now be issued prior to \maketitle +% use \IEEEpubidadjcol as before - in the second column of the title page +% These changes allow \maketitle to take the reduced page height into +% consideration when dynamically setting the space between the author +% names and the maintext. +% +% the amount the main text is pulled up to make room for the +% publisher's ID footer +% IEEE uses about 1.3\baselineskip for journals, +% dynamic title spacing will clean up the fraction +\def\@IEEEpubidpullup{1.3\baselineskip} +\ifCLASSOPTIONtechnote +% for technotes it must be an integer of baselineskip as there can be no +% dynamic title spacing for two column mode technotes (the title is in the +% in first column) and we should maintain an integer number of lines in the +% second column +% There are some examples (such as older issues of "Transactions on +% Information Theory") in which IEEE really pulls the text off the ID for +% technotes - about 0.55in (or 4\baselineskip). We'll use 2\baselineskip +% and call it even. +\def\@IEEEpubidpullup{2\baselineskip} +\fi + +% V1.7 compsoc does not use a pullup +\ifCLASSOPTIONcompsoc +\def\@IEEEpubidpullup{0pt} +\fi + +% holds the ID text +\def\@IEEEpubid{\relax} + +% flag so \maketitle can tell if \IEEEpubid was called +\newif\if@IEEEusingpubid +\global\@IEEEusingpubidfalse +% issue this command in the page to have the ID at the bottom +% V1.6 use before \maketitle +\def\IEEEpubid#1{\def\@IEEEpubid{#1}\global\@IEEEusingpubidtrue} + + +% command which will pull up (shorten) the column it is executed in +% to make room for the publisher ID. Place in the second column of +% the title page when using \IEEEpubid +% Is smart enough not to do anything when in single column text or +% if the user hasn't called \IEEEpubid +% currently needed in for the second column of a page with the +% publisher ID. If not needed in future releases, please provide this +% command and define it as \relax for backward compatibility +% v1.6b do not allow command to operate if the peer review option has been +% selected because \IEEEpubidadjcol will not be on the cover page. +% V1.7 do nothing if compsoc +\def\IEEEpubidadjcol{\ifCLASSOPTIONcompsoc\else\ifCLASSOPTIONpeerreview\else +\if@twocolumn\if@IEEEusingpubid\enlargethispage{-\@IEEEpubidpullup}\fi\fi\fi\fi} + +% Special thanks to Peter Wilson, Daniel Luecking, and the other +% gurus at comp.text.tex, for helping me to understand how best to +% implement the IEEEpubid command in LaTeX. + + + +%% Lockout some commands under various conditions + +% general purpose bit bucket +\newsavebox{\@IEEEtranrubishbin} + +% flags to prevent multiple warning messages +\newif\if@IEEEWARNthanks +\newif\if@IEEEWARNIEEEPARstart +\newif\if@IEEEWARNIEEEbiography +\newif\if@IEEEWARNIEEEbiographynophoto +\newif\if@IEEEWARNIEEEpubid +\newif\if@IEEEWARNIEEEpubidadjcol +\newif\if@IEEEWARNIEEEmembership +\newif\if@IEEEWARNIEEEaftertitletext +\@IEEEWARNthankstrue +\@IEEEWARNIEEEPARstarttrue +\@IEEEWARNIEEEbiographytrue +\@IEEEWARNIEEEbiographynophototrue +\@IEEEWARNIEEEpubidtrue +\@IEEEWARNIEEEpubidadjcoltrue +\@IEEEWARNIEEEmembershiptrue +\@IEEEWARNIEEEaftertitletexttrue + + +%% Lockout some commands when in various modes, but allow them to be restored if needed +%% +% save commands which might be locked out +% so that the user can later restore them if needed +\let\@IEEESAVECMDthanks\thanks +\let\@IEEESAVECMDIEEEPARstart\IEEEPARstart +\let\@IEEESAVECMDIEEEbiography\IEEEbiography +\let\@IEEESAVECMDendIEEEbiography\endIEEEbiography +\let\@IEEESAVECMDIEEEbiographynophoto\IEEEbiographynophoto +\let\@IEEESAVECMDendIEEEbiographynophoto\endIEEEbiographynophoto +\let\@IEEESAVECMDIEEEpubid\IEEEpubid +\let\@IEEESAVECMDIEEEpubidadjcol\IEEEpubidadjcol +\let\@IEEESAVECMDIEEEmembership\IEEEmembership +\let\@IEEESAVECMDIEEEaftertitletext\IEEEaftertitletext + + +% disable \IEEEPARstart when in draft mode +% This may have originally been done because the pre-V1.6 drop letter +% algorithm had problems with a non-unity baselinestretch +% At any rate, it seems too formal to have a drop letter in a draft +% paper. +\ifCLASSOPTIONdraftcls +\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** ATTENTION: \noexpand\IEEEPARstart + is disabled in draft mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse} +\fi +% and for technotes +\ifCLASSOPTIONtechnote +\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** WARNING: \noexpand\IEEEPARstart + is locked out for technotes (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse} +\fi + + +% lockout unneeded commands when in conference mode +\ifCLASSOPTIONconference +% when locked out, \thanks, \IEEEbiography, \IEEEbiographynophoto, \IEEEpubid, +% \IEEEmembership and \IEEEaftertitletext will all swallow their given text. +% \IEEEPARstart will output a normal character instead +% warn the user about these commands only once to prevent the console screen +% from filling up with redundant messages +\def\thanks#1{\if@IEEEWARNthanks\typeout{** WARNING: \noexpand\thanks + is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNthanksfalse} +\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** WARNING: \noexpand\IEEEPARstart + is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse} + + +% LaTeX treats environments and commands with optional arguments differently. +% the actual ("internal") command is stored as \\commandname +% (accessed via \csname\string\commandname\endcsname ) +% the "external" command \commandname is a macro with code to determine +% whether or not the optional argument is presented and to provide the +% default if it is absent. So, in order to save and restore such a command +% we would have to save and restore \\commandname as well. But, if LaTeX +% ever changes the way it names the internal names, the trick would break. +% Instead let us just define a new environment so that the internal +% name can be left undisturbed. +\newenvironment{@IEEEbogusbiography}[2][]{\if@IEEEWARNIEEEbiography\typeout{** WARNING: \noexpand\IEEEbiography + is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEbiographyfalse% +\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax} +% and make biography point to our bogus biography +\let\IEEEbiography=\@IEEEbogusbiography +\let\endIEEEbiography=\end@IEEEbogusbiography + +\renewenvironment{IEEEbiographynophoto}[1]{\if@IEEEWARNIEEEbiographynophoto\typeout{** WARNING: \noexpand\IEEEbiographynophoto + is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEbiographynophotofalse% +\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax} + +\def\IEEEpubid#1{\if@IEEEWARNIEEEpubid\typeout{** WARNING: \noexpand\IEEEpubid + is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEpubidfalse} +\def\IEEEpubidadjcol{\if@IEEEWARNIEEEpubidadjcol\typeout{** WARNING: \noexpand\IEEEpubidadjcol + is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEpubidadjcolfalse} +\def\IEEEmembership#1{\if@IEEEWARNIEEEmembership\typeout{** WARNING: \noexpand\IEEEmembership + is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEmembershipfalse} +\def\IEEEaftertitletext#1{\if@IEEEWARNIEEEaftertitletext\typeout{** WARNING: \noexpand\IEEEaftertitletext + is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEaftertitletextfalse} +\fi + + +% provide a way to restore the commands that are locked out +\def\IEEEoverridecommandlockouts{% +\typeout{** ATTENTION: Overriding command lockouts (line \the\inputlineno).}% +\let\thanks\@IEEESAVECMDthanks% +\let\IEEEPARstart\@IEEESAVECMDIEEEPARstart% +\let\IEEEbiography\@IEEESAVECMDIEEEbiography% +\let\endIEEEbiography\@IEEESAVECMDendIEEEbiography% +\let\IEEEbiographynophoto\@IEEESAVECMDIEEEbiographynophoto% +\let\endIEEEbiographynophoto\@IEEESAVECMDendIEEEbiographynophoto% +\let\IEEEpubid\@IEEESAVECMDIEEEpubid% +\let\IEEEpubidadjcol\@IEEESAVECMDIEEEpubidadjcol% +\let\IEEEmembership\@IEEESAVECMDIEEEmembership% +\let\IEEEaftertitletext\@IEEESAVECMDIEEEaftertitletext} + + + +% need a backslash character for typeout output +{\catcode`\|=0 \catcode`\\=12 +|xdef|@IEEEbackslash{\}} + + +% hook to allow easy disabling of all legacy warnings +\def\@IEEElegacywarn#1#2{\typeout{** ATTENTION: \@IEEEbackslash #1 is deprecated (line \the\inputlineno). +Use \@IEEEbackslash #2 instead.}} + + +% provide for legacy commands +\def\authorblockA{\@IEEElegacywarn{authorblockA}{IEEEauthorblockA}\IEEEauthorblockA} +\def\authorblockN{\@IEEElegacywarn{authorblockN}{IEEEauthorblockN}\IEEEauthorblockN} +\def\authorrefmark{\@IEEElegacywarn{authorrefmark}{IEEEauthorrefmark}\IEEEauthorrefmark} +\def\PARstart{\@IEEElegacywarn{PARstart}{IEEEPARstart}\IEEEPARstart} +\def\pubid{\@IEEElegacywarn{pubid}{IEEEpubid}\IEEEpubid} +\def\pubidadjcol{\@IEEElegacywarn{pubidadjcol}{IEEEpubidadjcol}\IEEEpubidadjcol} +\def\QED{\@IEEElegacywarn{QED}{IEEEQED}\IEEEQED} +\def\QEDclosed{\@IEEElegacywarn{QEDclosed}{IEEEQEDclosed}\IEEEQEDclosed} +\def\QEDopen{\@IEEElegacywarn{QEDopen}{IEEEQEDopen}\IEEEQEDopen} +\def\specialpapernotice{\@IEEElegacywarn{specialpapernotice}{IEEEspecialpapernotice}\IEEEspecialpapernotice} + + + +% provide for legacy environments +\def\biography{\@IEEElegacywarn{biography}{IEEEbiography}\IEEEbiography} +\def\biographynophoto{\@IEEElegacywarn{biographynophoto}{IEEEbiographynophoto}\IEEEbiographynophoto} +\def\keywords{\@IEEElegacywarn{keywords}{IEEEkeywords}\IEEEkeywords} +\def\endbiography{\endIEEEbiography} +\def\endbiographynophoto{\endIEEEbiographynophoto} +\def\endkeywords{\endIEEEkeywords} + + +% provide for legacy IED commands/lengths when possible +\let\labelindent\IEEElabelindent +\def\calcleftmargin{\@IEEElegacywarn{calcleftmargin}{IEEEcalcleftmargin}\IEEEcalcleftmargin} +\def\setlabelwidth{\@IEEElegacywarn{setlabelwidth}{IEEEsetlabelwidth}\IEEEsetlabelwidth} +\def\usemathlabelsep{\@IEEElegacywarn{usemathlabelsep}{IEEEusemathlabelsep}\IEEEusemathlabelsep} +\def\iedlabeljustifyc{\@IEEElegacywarn{iedlabeljustifyc}{IEEEiedlabeljustifyc}\IEEEiedlabeljustifyc} +\def\iedlabeljustifyl{\@IEEElegacywarn{iedlabeljustifyl}{IEEEiedlabeljustifyl}\IEEEiedlabeljustifyl} +\def\iedlabeljustifyr{\@IEEElegacywarn{iedlabeljustifyr}{IEEEiedlabeljustifyr}\IEEEiedlabeljustifyr} + + + +% let \proof use the IEEEtran version even after amsthm is loaded +% \proof is now deprecated in favor of \IEEEproof +\AtBeginDocument{\def\proof{\@IEEElegacywarn{proof}{IEEEproof}\IEEEproof}\def\endproof{\endIEEEproof}} + +% V1.7 \overrideIEEEmargins is no longer supported. +\def\overrideIEEEmargins{% +\typeout{** WARNING: \string\overrideIEEEmargins \space no longer supported (line \the\inputlineno).}% +\typeout{** Use the \string\CLASSINPUTinnersidemargin, \string\CLASSINPUToutersidemargin \space controls instead.}} + + +\endinput + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End of IEEEtran.cls %%%%%%%%%%%%%%%%%%%%%%%%%%%% +% That's all folks! + diff --git a/SciTePress.eps b/SciTePress.eps deleted file mode 100644 index 45e720af32f97e7bdc5232e2b84b61329e3e6026..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 1494739 zcmeEv37lJ1z5kuI&=Oh-h=QOroqeX6ncSOwI$PG+_kGFCWU@_WvQ3s!sHH`HZVzRb zr%$DTifpnd;Im3`!(9*r1k_gjD`im-T6mVW`G3#3Np2>SOf$4};oZzzqHi41wmX;_1Zym(lJ zv}N%y$+tWue0n@gil39m!@2(gKuyW>{*>?s;$Z^w{CNKN0gVguPNVhy9q|{%!~aCM zG@gGM!ff6$=0o^?6aO5-=i&QYAk_ScJm$*t8KxLv&nI~t9+e^yAK76Eb9RaFt#<^b zoYJo8KqL^J4g{sfUWIhf<97ru2{W9WWvk_iYEC8PxN5lu0Y+wd?^WiN6Sf`lC$ZXgp!g3m(h~@X>1cy 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-\renewcommand{\large}{\fontsize{12}{15}\selectfont} -\renewcommand{\Large}{\fontsize{13}{15}\selectfont} -\renewcommand{\normalsize}{\fontsize{10}{11.5}\selectfont} -\renewcommand{\refname}{REFERENCES} - -\newcommand{\F}{\mathcal{F}} -\newcommand{\I}{\mathcal{I}} -\newcommand{\D}{\mathcal{D}} -\newcommand{\T}{\mathcal{T}} -\newcommand{\R}{\mathcal{R}} -\newcommand{\rr}{\mathfrak{r}} -\newcommand{\code}[1]{\textsf{#1}} - -\renewcommand\floatpagefraction{.9} -\renewcommand\topfraction{.9} -\renewcommand\bottomfraction{.9} -\renewcommand\textfraction{.1} \ No newline at end of file diff --git a/bare_adv.tex b/bare_adv.tex new file mode 100755 index 0000000..0007bec --- /dev/null +++ b/bare_adv.tex @@ -0,0 +1,1100 @@ + +%% bare_adv.tex +%% V1.3 +%% 2007/01/11 +%% by Michael Shell +%% See: +%% http://www.michaelshell.org/ +%% for current contact information. +%% +%% This is a skeleton file demonstrating the advanced use of IEEEtran.cls +%% (requires IEEEtran.cls version 1.7 or later) with an IEEE Computer +%% Society journal paper. +%% +%% Support sites: +%% http://www.michaelshell.org/tex/ieeetran/ +%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/ +%% and +%% http://www.ieee.org/ + +%%************************************************************************* +%% Legal Notice: +%% This code is offered as-is without any warranty either expressed or +%% implied; without even the implied warranty of MERCHANTABILITY or +%% FITNESS FOR A PARTICULAR PURPOSE! +%% User assumes all risk. +%% In no event shall IEEE or any contributor to this code be liable for +%% any damages or losses, including, but not limited to, incidental, +%% consequential, or any other damages, resulting from the use or misuse +%% of any information contained here. +%% +%% All comments are the opinions of their respective authors and are not +%% necessarily endorsed by the IEEE. +%% +%% This work is distributed under the LaTeX Project Public License (LPPL) +%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used, +%% distributed and modified. A copy of the LPPL, version 1.3, is included +%% in the base LaTeX documentation of all distributions of LaTeX released +%% 2003/12/01 or later. +%% Retain all contribution notices and credits. +%% ** Modified files should be clearly indicated as such, including ** +%% ** renaming them and changing author support contact information. ** +%% +%% File list of work: IEEEtran.cls, IEEEtran_HOWTO.pdf, bare_adv.tex, +%% bare_conf.tex, bare_jrnl.tex, bare_jrnl_compsoc.tex +%%************************************************************************* + +% *** Authors should verify (and, if needed, correct) their LaTeX system *** +% *** with the testflow diagnostic prior to trusting their LaTeX platform *** +% *** with production work. IEEE's font choices can trigger bugs that do *** +% *** not appear when using other class files. *** +% The testflow support page is at: +% http://www.michaelshell.org/tex/testflow/ + + + +% IEEEtran V1.7 and later provides for these CLASSINPUT macros to allow the +% user to reprogram some IEEEtran.cls defaults if needed. These settings +% override the internal defaults of IEEEtran.cls regardless of which class +% options are used. Do not use these unless you have good reason to do so as +% they can result in nonIEEE compliant documents. User beware. ;) +% +%\newcommand{\CLASSINPUTbaselinestretch}{1.0} % baselinestretch +%\newcommand{\CLASSINPUTinnersidemargin}{1in} % inner side margin +%\newcommand{\CLASSINPUToutersidemargin}{1in} % outer side margin +%\newcommand{\CLASSINPUTtoptextmargin}{1in} % top text margin +%\newcommand{\CLASSINPUTbottomtextmargin}{1in}% bottom text margin + + + +% Note that the a4paper option is mainly intended so that authors in +% countries using A4 can easily print to A4 and see how their papers will +% look in print - the typesetting of the document will not typically be +% affected with changes in paper size (but the bottom and side margins will). +% Use the testflow package mentioned above to verify correct handling of +% both paper sizes by the user's LaTeX system. +% +% Also note that the "draftcls" or "draftclsnofoot", not "draft", option +% should be used if it is desired that the figures are to be displayed in +% draft mode. +% +\documentclass[12pt,journal,compsoc]{IEEEtran} +% The Computer Society requires 12pt. +% If IEEEtran.cls has not been installed into the LaTeX system files, +% manually specify the path to it like: +% \documentclass[10pt,journal,compsoc]{../sty/IEEEtran} + + +% For Computer Society journals, IEEEtran defaults to the use of +% Palatino/Palladio as is done in IEEE Computer Society journals. +% To go back to Times Roman, you can use this code: +%\renewcommand{\rmdefault}{ptm}\selectfont + + + + + +% Some very useful LaTeX packages include: +% (uncomment the ones you want to load) + + + +% *** MISC UTILITY PACKAGES *** +% +%\usepackage{ifpdf} +% Heiko Oberdiek's ifpdf.sty is very useful if you need conditional +% compilation based on whether the output is pdf or dvi. +% usage: +% \ifpdf +% % pdf code +% \else +% % dvi code +% \fi +% The latest version of ifpdf.sty can be obtained from: +% http://www.ctan.org/tex-archive/macros/latex/contrib/oberdiek/ +% Also, note that IEEEtran.cls V1.7 and later provides a builtin +% \ifCLASSINFOpdf conditional that works the same way. +% When switching from latex to pdflatex and vice-versa, the compiler may +% have to be run twice to clear warning/error messages. + + + + + + +% *** CITATION PACKAGES *** +% +\ifCLASSOPTIONcompsoc + % IEEE Computer Society needs nocompress option + % requires cite.sty v4.0 or later (November 2003) + % \usepackage[nocompress]{cite} +\else + % normal IEEE + % \usepackage{cite} +\fi +% cite.sty was written by Donald Arseneau +% V1.6 and later of IEEEtran pre-defines the format of the cite.sty package +% \cite{} output to follow that of IEEE. Loading the cite package will +% result in citation numbers being automatically sorted and properly +% "compressed/ranged". e.g., [1], [9], [2], [7], [5], [6] without using +% cite.sty will become [1], [2], [5]--[7], [9] using cite.sty. cite.sty's +% \cite will automatically add leading space, if needed. Use cite.sty's +% noadjust option (cite.sty V3.8 and later) if you want to turn this off. +% cite.sty is already installed on most LaTeX systems. Be sure and use +% version 4.0 (2003-05-27) and later if using hyperref.sty. cite.sty does +% not currently provide for hyperlinked citations. +% The latest version can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/cite/ +% The documentation is contained in the cite.sty file itself. +% +% Note that some packages require special options to format as the Computer +% Society requires. In particular, Computer Society papers do not use +% compressed citation ranges as is done in typical IEEE papers +% (e.g., [1]-[4]). Instead, they list every citation separately in order +% (e.g., [1], [2], [3], [4]). To get the latter we need to load the cite +% package with the nocompress option which is supported by cite.sty v4.0 +% and later. Note also the use of a CLASSOPTION conditional provided by +% IEEEtran.cls V1.7 and later. + + + + + +% *** GRAPHICS RELATED PACKAGES *** +% +\ifCLASSINFOpdf + % \usepackage[pdftex]{graphicx} + % declare the path(s) where your graphic files are + % \graphicspath{{../pdf/}{../jpeg/}} + % and their extensions so you won't have to specify these with + % every instance of \includegraphics + % \DeclareGraphicsExtensions{.pdf,.jpeg,.png} +\else + % or other class option (dvipsone, dvipdf, if not using dvips). graphicx + % will default to the driver specified in the system graphics.cfg if no + % driver is specified. + % \usepackage[dvips]{graphicx} + % declare the path(s) where your graphic files are + % \graphicspath{{../eps/}} + % and their extensions so you won't have to specify these with + % every instance of \includegraphics + % \DeclareGraphicsExtensions{.eps} +\fi +% graphicx was written by David Carlisle and Sebastian Rahtz. It is +% required if you want graphics, photos, etc. graphicx.sty is already +% installed on most LaTeX systems. The latest version and documentation can +% be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/required/graphics/ +% Another good source of documentation is "Using Imported Graphics in +% LaTeX2e" by Keith Reckdahl which can be found as epslatex.ps or +% epslatex.pdf at: http://www.ctan.org/tex-archive/info/ +% +% latex, and pdflatex in dvi mode, support graphics in encapsulated +% postscript (.eps) format. pdflatex in pdf mode supports graphics +% in .pdf, .jpeg, .png and .mps (metapost) formats. Users should ensure +% that all non-photo figures use a vector format (.eps, .pdf, .mps) and +% not a bitmapped formats (.jpeg, .png). IEEE frowns on bitmapped formats +% which can result in "jaggedy"/blurry rendering of lines and letters as +% well as large increases in file sizes. +% +% You can find documentation about the pdfTeX application at: +% http://www.tug.org/applications/pdftex + + + +%\usepackage{ps4pdf} +% dvi->ps workflow is required to use such packages as psfrag.sty and +% pstricks.sty. However, Rolf Niepraschk's ps4pdf.sty provides a way to +% apply psfrag/pstricks effects to .eps figures and then get the resultant +% figures in .pdf form. Thus, providing an easier way for migrating from +% .eps to .pdf figures. After ps4pdf.sty loads, if: +% 1. producing .dvi output: the output file will consist ONLY of the +% figures (or other constructs encased within \PSforPDF commands) +% 2. producing .pdf output: pdflatex will look in the filename-pics.pdf +% file, where filename is the basename of the tex document, for the +% graphics (or other constructs encased within \PSforPDF commands). +% NOTE: If you ever change your figures, you must remember to remake +% the filename-pics.pdf file. +% +% This way you can do a: +% +% latex filename +% dvips -Ppdf -o filename-pics.ps filename.dvi +% ps2pdf filename-pics.ps filename-pics.pdf +% +% to produce a filename-pics.pdf graphics container that contains +% .pdf versions of the graphics with psfrag, pstricks, etc. features. +% Note that you will not typically be able to view the figures in +% filename-pics.ps because of an offset. However, you will be able to +% view them in filename-pics.pdf. Also, note that when ps4pdf is in effect +% with .dvi output, you may get harmless over/under full box warnings - +% ignore them. +% Then, run pdflatex: +% +% pdflatex filename +% +% to use pdflatex to make PDF output, automatically using the figures in +% filename-pics.pdf. Alternatively, you could use dvips -i option to +% obtain separate .pdf files for each figure: +% +% dvips -Ppdf -i -E -o fig filename +% +% then convert each figure to pdf via a command such as epstopdf and then +% use pdflatex with these pdf figures and then to dispense with ps4pdf. +% +% Remember to rerun through latex/dvips/ps2pdf if you ever change your +% figures so that filename-pics.pdf gets updated. +% ps4pdf requires David Kastrup's preview-latex and a recent LaTeX system +% (circa 2001 or later). The ps4pdf package and documentation can be +% obtained at: http://www.ctan.org/tex-archive/macros/latex/contrib/ps4pdf/ +% The preview-latex package and documentation can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/preview/ +% +% provide a bogus \PSforPDF, even when not loading pd4pdf. This way we can +% stop loading ps4pdf.sty if we choose to make separate .pdf versions of +% each of our figures. +\providecommand{\PSforPDF}[1]{#1} +% Note that in order for ps4pdf to work, all commands related to psfrag, +% pstricks, etc. must be called within the PSforPDF command. This applies +% even when *loading* via \usepackage psfrag.sty, etc. + + +%\PSforPDF{\usepackage{psfrag}} +% psfrag.sty was written by Craig Barratt, Michael C. Grant, and +% David Carlisle. It allows you to substitute LaTeX commands for text in +% imported EPS graphic files. In this way, LaTeX symbols can be placed into +% graphics that have been generated by other applications. You must use +% latex->dvips->ps2pdf workflow (not direct pdf output from pdflatex) if +% you wish to use this capability because it works via some PostScript +% tricks. Alternatively, the graphics could be processed as separate files +% via psfrag and dvips, then converted to PDF for inclusion in the main file +% which uses pdflatex. ps4pdf.sty (above) provides a way of doing this all +% at once within the main file. +% Docs are in "The PSfrag System" by Michael C. Grant and David Carlisle. +% There is also some information about using psfrag in "Using Imported +% Graphics in LaTeX2e" by Keith Reckdahl which documents the graphicx +% package (see above). The psfrag package and documentation can be obtained +% at: http://www.ctan.org/tex-archive/macros/latex/contrib/psfrag/ +% +% Note that the current version of psfrag does not "turn itself off" when +% running under pdf output. This will result in a harmless warning +% about a non-PDF \special. However, to silence this, a bogus psfrag +% command can be provided instead of loading psfrag.sty when PDF output +% is being used. Thus, a more complex alternative conditional loading scheme +% can be employed instead of the straightforword way above: +% +%\ifCLASSINFOpdf +% if outputting PDF, do not use or load psfrag.sty as current versions +% output a non-PDF special that generates a harmless, but annoying warning. +% Instead, we provide a bogus \psfrag command that does nothing with +% its arguments. This is a tad tricky because \psfrag can have up to six +% arguments four of which are optional: \psfrag{}[][][][]{} +% Code based on that in psfrag.sty +%\makeatletter +%\def\psfrag{\@ifstar{\@BOGUSpsfraga}{\@BOGUSpsfraga}} +%\def\@BOGUSpsfraga{\begingroup +% \@makeother\"\@makeother\*\@makeother\!\@makeother\~% +% \@makeother\:\@makeother\\\@makeother\%\@makeother\#% +% \@makeother\ \@BOGUSpsfragb} +%\def\@BOGUSpsfragb#1{\endgroup +% \@ifnextchar [{\@BOGUSpsfragc}% +% {\@BOGUSpsfrag}} +%\def\@BOGUSpsfragc[#1]{\@ifnextchar [{\@BOGUSpsfragd}% +% {\@BOGUSpsfrag}} +%\def\@BOGUSpsfragd[#1]{\@ifnextchar [{\@BOGUSpsfrage}% +% {\@BOGUSpsfrag}} +%\def\@BOGUSpsfrage[#1]{\@ifnextchar [{\@BOGUSpsfragf}% +% {\@BOGUSpsfrag}} +%\def\@BOGUSpsfragf[#1]{\@BOGUSpsfrag} +%\def\@BOGUSpsfrag#1{\ignorespaces} +%\makeatother +%\else +% using dvi output, load psfrag, but funnel it through PSforPDF +% as required by ps4pdf.sty +%\PSforPDF{\usepackage{psfrag}} +%\fi + + + + + +% *** MATH PACKAGES *** +% +%\usepackage[cmex10]{amsmath} +% A popular package from the American Mathematical Society that provides +% many useful and powerful commands for dealing with mathematics. If using +% it, be sure to load this package with the cmex10 option to ensure that +% only type 1 fonts will utilized at all point sizes. Without this option, +% it is possible that some math symbols, particularly those within +% footnotes, will be rendered in bitmap form which will result in a +% document that can not be IEEE Xplore compliant! +% +% Also, note that the amsmath package sets \interdisplaylinepenalty to 10000 +% thus preventing page breaks from occurring within multiline equations. Use: +%\interdisplaylinepenalty=2500 +% after loading amsmath to restore such page breaks as IEEEtran.cls normally +% does. amsmath.sty is already installed on most LaTeX systems. The latest +% version and documentation can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/required/amslatex/math/ + + + + + +% *** SPECIALIZED LIST PACKAGES *** +%\usepackage{acronym} +% acronym.sty was written by Tobias Oetiker. This package provides tools for +% managing documents with large numbers of acronyms. (You don't *have* to +% use this package - unless you have a lot of acronyms, you may feel that +% such package management of them is bit of an overkill.) +% Do note that the acronym environment (which lists acronyms) will have a +% problem when used under IEEEtran.cls because acronym.sty relies on the +% description list environment - which IEEEtran.cls has customized for +% producing IEEE style lists. A workaround is to declared the longest +% label width via the IEEEtran.cls \IEEEiedlistdecl global control: +% +% \renewcommand{\IEEEiedlistdecl}{\IEEEsetlabelwidth{SONET}} +% \begin{acronym} +% +% \end{acronym} +% \renewcommand{\IEEEiedlistdecl}{\relax}% remember to reset \IEEEiedlistdecl +% +% instead of using the acronym environment's optional argument. +% The latest version and documentation can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/acronym/ + + +%\usepackage{algorithmic} +% algorithmic.sty was written by Peter Williams and Rogerio Brito. +% This package provides an algorithmic environment fo describing algorithms. +% You can use the algorithmic environment in-text or within a figure +% environment to provide for a floating algorithm. Do NOT use the algorithm +% floating environment provided by algorithm.sty (by the same authors) or +% algorithm2e.sty (by Christophe Fiorio) as IEEE does not use dedicated +% algorithm float types and packages that provide these will not provide +% correct IEEE style captions. The latest version and documentation of +% algorithmic.sty can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithms/ +% There is also a support site at: +% http://algorithms.berlios.de/index.html +% Also of interest may be the (relatively newer and more customizable) +% algorithmicx.sty package by Szasz Janos: +% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithmicx/ + + + + +% *** ALIGNMENT PACKAGES *** +% +%\usepackage{array} +% Frank Mittelbach's and David Carlisle's array.sty patches and improves +% the standard LaTeX2e array and tabular environments to provide better +% appearance and additional user controls. As the default LaTeX2e table +% generation code is lacking to the point of almost being broken with +% respect to the quality of the end results, all users are strongly +% advised to use an enhanced (at the very least that provided by array.sty) +% set of table tools. array.sty is already installed on most systems. The +% latest version and documentation can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/required/tools/ + + +%\usepackage{mdwmath} +%\usepackage{mdwtab} +% Also highly recommended is Mark Wooding's extremely powerful MDW tools, +% especially mdwmath.sty and mdwtab.sty which are used to format equations +% and tables, respectively. The MDWtools set is already installed on most +% LaTeX systems. The lastest version and documentation is available at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/mdwtools/ + + +% IEEEtran contains the IEEEeqnarray family of commands that can be used to +% generate multiline equations as well as matrices, tables, etc., of high +% quality. + + +%\usepackage{eqparbox} +% Also of notable interest is Scott Pakin's eqparbox package for creating +% (automatically sized) equal width boxes - aka "natural width parboxes". +% Available at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/eqparbox/ + + + + + +% *** SUBFIGURE PACKAGES *** +%\ifCLASSOPTIONcompsoc +%\usepackage[tight,normalsize,sf,SF]{subfigure} +%\else +%\usepackage[tight,footnotesize]{subfigure} +%\fi +% subfigure.sty was written by Steven Douglas Cochran. This package makes it +% easy to put subfigures in your figures. e.g., "Figure 1a and 1b". For IEEE +% work, it is a good idea to load it with the tight package option to reduce +% the amount of white space around the subfigures. Computer Society papers +% use a larger font and \sffamily font for their captions, hence the +% additional options needed under compsoc mode. subfigure.sty is already +% installed on most LaTeX systems. The latest version and documentation can +% be obtained at: +% http://www.ctan.org/tex-archive/obsolete/macros/latex/contrib/subfigure/ +% subfigure.sty has been superceeded by subfig.sty. + + +%\ifCLASSOPTIONcompsoc +% \usepackage[caption=false]{caption} +% \usepackage[font=normalsize,labelfont=sf,textfont=sf]{subfig} +%\else +% \usepackage[caption=false]{caption} +% \usepackage[font=footnotesize]{subfig} +%\fi +% subfig.sty, also written by Steven Douglas Cochran, is the modern +% replacement for subfigure.sty. However, subfig.sty requires and +% automatically loads Axel Sommerfeldt's caption.sty which will override +% IEEEtran.cls handling of captions and this will result in nonIEEE style +% figure/table captions. To prevent this problem, be sure and preload +% caption.sty with its "caption=false" package option. This is will preserve +% IEEEtran.cls handing of captions. Version 1.3 (2005/06/28) and later +% (recommended due to many improvements over 1.2) of subfig.sty supports +% the caption=false option directly: +%\ifCLASSOPTIONcompsoc +% \usepackage[caption=false,font=normalsize,labelfont=sf,textfont=sf]{subfig} +%\else +% \usepackage[caption=false,font=footnotesize]{subfig} +%\fi +% +% The latest version and documentation can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/subfig/ +% The latest version and documentation of caption.sty can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/caption/ + + + + +% *** FLOAT PACKAGES *** +% +%\usepackage{fixltx2e} +% fixltx2e, the successor to the earlier fix2col.sty, was written by +% Frank Mittelbach and David Carlisle. This package corrects a few problems +% in the LaTeX2e kernel, the most notable of which is that in current +% LaTeX2e releases, the ordering of single and double column floats is not +% guaranteed to be preserved. Thus, an unpatched LaTeX2e can allow a +% single column figure to be placed prior to an earlier double column +% figure. The latest version and documentation can be found at: +% http://www.ctan.org/tex-archive/macros/latex/base/ + + +%\usepackage{stfloats} +% stfloats.sty was written by Sigitas Tolusis. This package gives LaTeX2e +% the ability to do double column floats at the bottom of the page as well +% as the top. (e.g., "\begin{figure*}[!b]" is not normally possible in +% LaTeX2e). It also provides a command: +%\fnbelowfloat +% to enable the placement of footnotes below bottom floats (the standard +% LaTeX2e kernel puts them above bottom floats). This is an invasive package +% which rewrites many portions of the LaTeX2e float routines. It may not work +% with other packages that modify the LaTeX2e float routines. The latest +% version and documentation can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/sttools/ +% Documentation is contained in the stfloats.sty comments as well as in the +% presfull.pdf file. Do not use the stfloats baselinefloat ability as IEEE +% does not allow \baselineskip to stretch. Authors submitting work to the +% IEEE should note that IEEE rarely uses double column equations and +% that authors should try to avoid such use. Do not be tempted to use the +% cuted.sty or midfloat.sty packages (also by Sigitas Tolusis) as IEEE does +% not format its papers in such ways. + + +%\ifCLASSOPTIONcaptionsoff +% \usepackage[nomarkers]{endfloat} +% \let\MYoriglatexcaption\caption +% \renewcommand{\caption}[2][\relax]{\MYoriglatexcaption[#2]{#2}} +%\fi +% endfloat.sty was written by James Darrell McCauley and Jeff Goldberg. +% This package may be useful when used in conjunction with IEEEtran.cls' +% captionsoff option. Some IEEE journals/societies require that submissions +% have lists of figures/tables at the end of the paper and that +% figures/tables without any captions are placed on a page by themselves at +% the end of the document. If needed, the draftcls IEEEtran class option or +% \CLASSINPUTbaselinestretch interface can be used to increase the line +% spacing as well. Be sure and use the nomarkers option of endfloat to +% prevent endfloat from "marking" where the figures would have been placed +% in the text. The two hack lines of code above are a slight modification of +% that suggested by in the endfloat docs (section 8.3.1) to ensure that +% the full captions always appear in the list of figures/tables - even if +% the user used the short optional argument of \caption[]{}. +% IEEE papers do not typically make use of \caption[]'s optional argument, +% so this should not be an issue. A similar trick can be used to disable +% captions of packages such as subfig.sty that lack options to turn off +% the subcaptions: +% For subfig.sty: +% \let\MYorigsubfloat\subfloat +% \renewcommand{\subfloat}[2][\relax]{\MYorigsubfloat[]{#2}} +% For subfigure.sty: +% \let\MYorigsubfigure\subfigure +% \renewcommand{\subfigure}[2][\relax]{\MYorigsubfigure[]{#2}} +% However, the above trick will not work if both optional arguments of +% the \subfloat/subfig command are used. Furthermore, there needs to be a +% description of each subfigure *somewhere* and endfloat does not add +% subfigure captions to its list of figures. Thus, the best approach is to +% avoid the use of subfigure captions (many IEEE journals avoid them anyway) +% and instead reference/explain all the subfigures within the main caption. +% The latest version of endfloat.sty and its documentation can obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/endfloat/ +% +% The IEEEtran \ifCLASSOPTIONcaptionsoff conditional can also be used +% later in the document, say, to conditionally put the References on a +% page by themselves. + + + + + +% *** PDF, URL AND HYPERLINK PACKAGES *** +% +%\usepackage{url} +% url.sty was written by Donald Arseneau. It provides better support for +% handling and breaking URLs. url.sty is already installed on most LaTeX +% systems. The latest version can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/misc/ +% Read the url.sty source comments for usage information. Basically, +% \url{my_url_here}. + + +% NOTE: PDF thumbnail features are not required in IEEE papers +% and their use requires extra complexity and work. +%\ifCLASSINFOpdf +% \usepackage[pdftex]{thumbpdf} +%\else +% \usepackage[dvips]{thumbpdf} +%\fi +% thumbpdf.sty and its companion Perl utility were written by Heiko Oberdiek. +% It allows the user a way to produce PDF documents that contain fancy +% thumbnail images of each of the pages (which tools like acrobat reader can +% utilize). This is possible even when using dvi->ps->pdf workflow if the +% correct thumbpdf driver options are used. thumbpdf.sty incorporates the +% file containing the PDF thumbnail information (filename.tpm is used with +% dvips, filename.tpt is used with pdftex, where filename is the base name of +% your tex document) into the final ps or pdf output document. An external +% utility, the thumbpdf *Perl script* is needed to make these .tpm or .tpt +% thumbnail files from a .ps or .pdf version of the document (which obviously +% does not yet contain pdf thumbnails). Thus, one does a: +% +% thumbpdf filename.pdf +% +% to make a filename.tpt, and: +% +% thumbpdf --mode dvips filename.ps +% +% to make a filename.tpm which will then be loaded into the document by +% thumbpdf.sty the NEXT time the document is compiled (by pdflatex or +% latex->dvips->ps2pdf). Users must be careful to regenerate the .tpt and/or +% .tpm files if the main document changes and then to recompile the +% document to incorporate the revised thumbnails to ensure that thumbnails +% match the actual pages. It is easy to forget to do this! +% +% Unix systems come with a Perl interpreter. However, MS Windows users +% will usually have to install a Perl interpreter so that the thumbpdf +% script can be run. The Ghostscript PS/PDF interpreter is also required. +% See the thumbpdf docs for details. The latest version and documentation +% can be obtained at. +% http://www.ctan.org/tex-archive/support/thumbpdf/ +% Be sure and use only version 3.8 (2005/07/06) or later of thumbpdf as +% earlier versions will not work properly with recent versions of pdfTeX +% (1.20a and later). + + +% NOTE: PDF hyperlink and bookmark features are not required in IEEE +% papers and their use requires extra complexity and work. +% *** IF USING HYPERREF BE SURE AND CHANGE THE EXAMPLE PDF *** +% *** TITLE/SUBJECT/AUTHOR/KEYWORDS INFO BELOW!! *** +\newcommand\MYhyperrefoptions{bookmarks=true,bookmarksnumbered=true, +pdfpagemode={UseOutlines},plainpages=false,pdfpagelabels=true, +colorlinks=true,linkcolor={black},citecolor={black},pagecolor={black}, +urlcolor={black}, +pdftitle={Bare Demo of IEEEtran.cls for Computer Society Journals},%.dvi->.ps->.pdf workflow if the respective packages/scripts are +% loaded/invoked with the correct driver options (dvips, etc.). +% As most IEEE papers use URLs sparingly (mainly in the references), this +% may not be as big an issue as with other publications. +% +% That said, recently Vilar Camara Neto introduced his breakurl.sty +% package which permits hyperref to easily break URLs even in dvi +% mode. Note that breakurl, unlike most other packages, must be loaded +% AFTER hyperref. The latest version of breakurl and its documentation can +% be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/breakurl/ +% breakurl.sty is not for use under pdflatex pdf mode. Versions 1.10 +% (September 23, 2005) and later are recommened to avoid bugs in earlier +% releases. +% +% The advanced features offer by hyperref.sty are not required for IEEE +% submission, so users should weigh these features against the added +% complexity of use. Users who wish to use hyperref *must* ensure that +% their hyperref version is 6.72u or later *and* IEEEtran.cls is version +% 1.6b or later. +% The package options above demonstrate how to enable PDF bookmarks +% (a type of table of contents viewable in Acrobat Reader) as well as +% PDF document information (title, subject, author and keywords) that is +% viewable in Acrobat reader's Document_Properties menu. PDF document +% information is also used extensively to automate the cataloging of PDF +% documents. The above set of options ensures that hyperlinks will not be +% colored in the text and thus will not be visible in the printed page, +% but will be active on "mouse over". USING COLORS OR OTHER HIGHLIGHTING +% OF HYPERLINKS CAN RESULT IN DOCUMENT REJECTION BY THE IEEE, especially if +% these appear on the "printed" page. IF IN DOUBT, ASK THE RELEVANT +% SUBMISSION EDITOR. You may need to add the option hypertexnames=false if +% you used duplicate equation numbers, etc., but this should not be needed +% in normal IEEE work. +% The latest version of hyperref and its documentation can be obtained at: +% http://www.ctan.org/tex-archive/macros/latex/contrib/hyperref/ + + + + + +% *** Do not adjust lengths that control margins, column widths, etc. *** +% *** Do not use packages that alter fonts (such as pslatex). *** +% There should be no need to do such things with IEEEtran.cls V1.6 and later. +% (Unless specifically asked to do so by the journal or conference you plan +% to submit to, of course. ) + + +% correct bad hyphenation here +\hyphenation{op-tical net-works semi-conduc-tor} + + +\begin{document} +% +% paper title +% can use linebreaks \\ within to get better formatting as desired +\title{Bare Advanced Demo of IEEEtran.cls\\ for Computer Society Journals} +% +% +% author names and IEEE memberships +% note positions of commas and nonbreaking spaces ( ~ ) LaTeX will not break +% a structure at a ~ so this keeps an author's name from being broken across +% two lines. +% use \thanks{} to gain access to the first footnote area +% a separate \thanks must be used for each paragraph as LaTeX2e's \thanks +% was not built to handle multiple paragraphs +% +% +%\IEEEcompsocitemizethanks is a special \thanks that produces the bulleted +% lists the Computer Society journals use for "first footnote" author +% affiliations. Use \IEEEcompsocthanksitem which works much like \item +% for each affiliation group. When not in compsoc mode, +% \IEEEcompsocitemizethanks becomes like \thanks and +% \IEEEcompsocthanksitem becomes a line break with idention. This +% facilitates dual compilation, although admittedly the differences in the +% desired content of \author between the different types of papers makes a +% one-size-fits-all approach a daunting prospect. For instance, compsoc +% journal papers have the author affiliations above the "Manuscript +% received ..." text while in non-compsoc journals this is reversed. Sigh. + +\author{Michael~Shell,~\IEEEmembership{Member,~IEEE,} + John~Doe,~\IEEEmembership{Fellow,~OSA,} + and~Jane~Doe,~\IEEEmembership{Life~Fellow,~IEEE}% <-this % stops a space +\IEEEcompsocitemizethanks{\IEEEcompsocthanksitem M. Shell is with the Department +of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, +GA, 30332.\protect\\ +% note need leading \protect in front of \\ to get a newline within \thanks as +% \\ is fragile and will error, could use \hfil\break instead. +E-mail: see http://www.michaelshell.org/contact.html +\IEEEcompsocthanksitem J. Doe and J. Doe are with Anonymous University.}% <-this % stops a space +\thanks{Manuscript received April 19, 2005; revised January 11, 2007.}} + +% note the % following the last \IEEEmembership and also \thanks - +% these prevent an unwanted space from occurring between the last author name +% and the end of the author line. i.e., if you had this: +% +% \author{....lastname \thanks{...} \thanks{...} } +% ^------------^------------^----Do not want these spaces! +% +% a space would be appended to the last name and could cause every name on that +% line to be shifted left slightly. This is one of those "LaTeX things". For +% instance, "\textbf{A} \textbf{B}" will typeset as "A B" not "AB". To get +% "AB" then you have to do: "\textbf{A}\textbf{B}" +% \thanks is no different in this regard, so shield the last } of each \thanks +% that ends a line with a % and do not let a space in before the next \thanks. +% Spaces after \IEEEmembership other than the last one are OK (and needed) as +% you are supposed to have spaces between the names. For what it is worth, +% this is a minor point as most people would not even notice if the said evil +% space somehow managed to creep in. + + + +% The paper headers +\markboth{Journal of \LaTeX\ Class Files,~Vol.~6, No.~1, January~2007}% +{Shell \MakeLowercase{\textit{et al.}}: Bare Advanced Demo of IEEEtran.cls for Journals} +% The only time the second header will appear is for the odd numbered pages +% after the title page when using the twoside option. +% +% *** Note that you probably will NOT want to include the author's *** +% *** name in the headers of peer review papers. *** +% You can use \ifCLASSOPTIONpeerreview for conditional compilation here if +% you desire. + + + +% The publisher's ID mark at the bottom of the page is less important with +% Computer Society journal papers as those publications place the marks +% outside of the main text columns and, therefore, unlike regular IEEE +% journals, the available text space is not reduced by their presence. +% If you want to put a publisher's ID mark on the page you can do it like +% this: +%\IEEEpubid{0000--0000/00\$00.00~\copyright~2007 IEEE} +% or like this to get the Computer Society new two part style. +%\IEEEpubid{\makebox[\columnwidth]{\hfill 0000--0000/00/\$00.00~\copyright~2007 IEEE}% +%\hspace{\columnsep}\makebox[\columnwidth]{Published by the IEEE Computer Society\hfill}} +% Remember, if you use this you must call \IEEEpubidadjcol in the second +% column for its text to clear the IEEEpubid mark (Computer Society jorunal +% papers don't need this extra clearance.) + + + +% use for special paper notices +%\IEEEspecialpapernotice{(Invited Paper)} + + + +% for Computer Society papers, we must declare the abstract and index terms +% PRIOR to the title within the \IEEEcompsoctitleabstractindextext IEEEtran +% command as these need to go into the title area created by \maketitle. +\IEEEcompsoctitleabstractindextext{% +\begin{abstract} +%\boldmath +The abstract goes here. +\end{abstract} +% IEEEtran.cls defaults to using nonbold math in the Abstract. +% This preserves the distinction between vectors and scalars. However, +% if the journal you are submitting to favors bold math in the abstract, +% then you can use LaTeX's standard command \boldmath at the very start +% of the abstract to achieve this. Many IEEE journals frown on math +% in the abstract anyway. In particular, the Computer Society does +% not want either math or citations to appear in the abstract. + +% Note that keywords are not normally used for peerreview papers. +\begin{IEEEkeywords} +Computer Society, IEEEtran, journal, \LaTeX, paper, template. +\end{IEEEkeywords}} + + +% make the title area +\maketitle + + +% To allow for easy dual compilation without having to reenter the +% abstract/keywords data, the \IEEEcompsoctitleabstractindextext text will +% not be used in maketitle, but will appear (i.e., to be "transported") +% here as \IEEEdisplaynotcompsoctitleabstractindextext when compsoc mode +% is not selected if conference mode is selected - because compsoc +% conference papers position the abstract like regular (non-compsoc) +% papers do! +\IEEEdisplaynotcompsoctitleabstractindextext +% \IEEEdisplaynotcompsoctitleabstractindextext has no effect when using +% compsoc under a non-conference mode. + + +% For peer review papers, you can put extra information on the cover +% page as needed: +% \ifCLASSOPTIONpeerreview +% \begin{center} \bfseries EDICS Category: 3-BBND \end{center} +% \fi +% +% For peerreview papers, this IEEEtran command inserts a page break and +% creates the second title. It will be ignored for other modes. +\IEEEpeerreviewmaketitle + + + +\section{Introduction} +% Computer Society journal papers do something a tad strange with the very +% first section heading (almost always called "Introduction"). They place it +% ABOVE the main text! IEEEtran.cls currently does not do this for you. +% However, You can achieve this effect by making LaTeX jump through some +% hoops via something like: +% +%\ifCLASSOPTIONcompsoc +% \noindent\raisebox{2\baselineskip}[0pt][0pt]% +% {\parbox{\columnwidth}{\section{Introduction}\label{sec:introduction}% +% \global\everypar=\everypar}}% +% \vspace{-1\baselineskip}\vspace{-\parskip}\par +%\else +% \section{Introduction}\label{sec:introduction}\par +%\fi +% +% Admittedly, this is a hack and may well be fragile, but seems to do the +% trick for me. Note the need to keep any \label that may be used right +% after \section in the above as the hack puts \section within a raised box. + + + +% The very first letter is a 2 line initial drop letter followed +% by the rest of the first word in caps (small caps for compsoc). +% +% form to use if the first word consists of a single letter: +% \IEEEPARstart{A}{demo} file is .... +% +% form to use if you need the single drop letter followed by +% normal text (unknown if ever used by IEEE): +% \IEEEPARstart{A}{}demo file is .... +% +% Some journals put the first two words in caps: +% \IEEEPARstart{T}{his demo} file is .... +% +% Here we have the typical use of a "T" for an initial drop letter +% and "HIS" in caps to complete the first word. +\IEEEPARstart{T}{his} demo file is intended to serve as a ``starter file'' +for IEEE Computer Society journal papers produced under \LaTeX\ using +IEEEtran.cls version 1.7 and later. +% You must have at least 2 lines in the paragraph with the drop letter +% (should never be an issue) +I wish you the best of success. + +\hfill mds + +\hfill January 11, 2007 + +\subsection{Subsection Heading Here} +Subsection text here. + +% needed in second column of first page if using \IEEEpubid +%\IEEEpubidadjcol + +\subsubsection{Subsubsection Heading Here} +Subsubsection text here. + + +% An example of a floating figure using the graphicx package. +% Note that \label must occur AFTER (or within) \caption. +% For figures, \caption should occur after the \includegraphics. +% Note that IEEEtran v1.7 and later has special internal code that +% is designed to preserve the operation of \label within \caption +% even when the captionsoff option is in effect. However, because +% of issues like this, it may be the safest practice to put all your +% \label just after \caption rather than within \caption{}. +% +% Reminder: the "draftcls" or "draftclsnofoot", not "draft", class +% option should be used if it is desired that the figures are to be +% displayed while in draft mode. +% +%\begin{figure}[!t] +%\centering +%\includegraphics[width=2.5in]{myfigure} +% where an .eps filename suffix will be assumed under latex, +% and a .pdf suffix will be assumed for pdflatex; or what has been declared +% via \DeclareGraphicsExtensions. +%\caption{Simulation Results} +%\label{fig_sim} +%\end{figure} + +% Note that IEEE typically puts floats only at the top, even when this +% results in a large percentage of a column being occupied by floats. +% However, the Computer Society has been known to put floats at the bottom. + + +% An example of a double column floating figure using two subfigures. +% (The subfig.sty package must be loaded for this to work.) +% The subfigure \label commands are set within each subfloat command, the +% \label for the overall figure must come after \caption. +% \hfil must be used as a separator to get equal spacing. +% The subfigure.sty package works much the same way, except \subfigure is +% used instead of \subfloat. +% +%\begin{figure*}[!t] +%\centerline{\subfloat[Case I]\includegraphics[width=2.5in]{subfigcase1}% +%\label{fig_first_case}} +%\hfil +%\subfloat[Case II]{\includegraphics[width=2.5in]{subfigcase2}% +%\label{fig_second_case}}} +%\caption{Simulation results} +%\label{fig_sim} +%\end{figure*} +% +% Note that often IEEE papers with subfigures do not employ subfigure +% captions (using the optional argument to \subfloat), but instead will +% reference/describe all of them (a), (b), etc., within the main caption. + + +% An example of a floating table. Note that, for IEEE style tables, the +% \caption command should come BEFORE the table. Table text will default to +% \footnotesize as IEEE normally uses this smaller font for tables. +% The \label must come after \caption as always. +% +%\begin{table}[!t] +%% increase table row spacing, adjust to taste +%\renewcommand{\arraystretch}{1.3} +% if using array.sty, it might be a good idea to tweak the value of +% \extrarowheight as needed to properly center the text within the cells +%\caption{An Example of a Table} +%\label{table_example} +%\centering +%% Some packages, such as MDW tools, offer better commands for making tables +%% than the plain LaTeX2e tabular which is used here. +%\begin{tabular}{|c||c|} +%\hline +%One & Two\\ +%\hline +%Three & Four\\ +%\hline +%\end{tabular} +%\end{table} + + +% Note that IEEE does not put floats in the very first column - or typically +% anywhere on the first page for that matter. Also, in-text middle ("here") +% positioning is not used. Most IEEE journals use top floats exclusively. +% However, Computer Society journals sometimes do use bottom floats - bear +% this in mind when choosing appropriate optional arguments for the +% figure/table environments. +% Note that, LaTeX2e, unlike IEEE journals, places footnotes above bottom +% floats. This can be corrected via the \fnbelowfloat command of the +% stfloats package. + + + +\section{Conclusion} +The conclusion goes here. + + + + + +% if have a single appendix: +%\appendix[Proof of the Zonklar Equations] +% or +%\appendix % for no appendix heading +% do not use \section anymore after \appendix, only \section* +% is possibly needed + +% use appendices with more than one appendix +% then use \section to start each appendix +% you must declare a \section before using any +% \subsection or using \label (\appendices by itself +% starts a section numbered zero.) +% + + +\appendices +\section{Proof of the First Zonklar Equation} +Appendix one text goes here. + +% you can choose not to have a title for an appendix +% if you want by leaving the argument blank +\section{} +Appendix two text goes here. + + +% use section* for acknowledgement +\ifCLASSOPTIONcompsoc + % The Computer Society usually uses the plural form + \section*{Acknowledgments} +\else + % regular IEEE prefers the singular form + \section*{Acknowledgment} +\fi + + +The authors would like to thank... + + +% Can use something like this to put references on a page +% by themselves when using endfloat and the captionsoff option. +\ifCLASSOPTIONcaptionsoff + \newpage +\fi + + + +% trigger a \newpage just before the given reference +% number - used to balance the columns on the last page +% adjust value as needed - may need to be readjusted if +% the document is modified later +%\IEEEtriggeratref{8} +% The "triggered" command can be changed if desired: +%\IEEEtriggercmd{\enlargethispage{-5in}} + +% references section + +% can use a bibliography generated by BibTeX as a .bbl file +% BibTeX documentation can be easily obtained at: +% http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/ +% The IEEEtran BibTeX style support page is at: +% http://www.michaelshell.org/tex/ieeetran/bibtex/ +%\bibliographystyle{IEEEtran} +% argument is your BibTeX string definitions and bibliography database(s) +%\bibliography{IEEEabrv,../bib/paper} +% +% manually copy in the resultant .bbl file +% set second argument of \begin to the number of references +% (used to reserve space for the reference number labels box) +\begin{thebibliography}{1} + +\bibitem{IEEEhowto:kopka} +H.~Kopka and P.~W. Daly, \emph{A Guide to {\LaTeX}}, 3rd~ed.\hskip 1em plus + 0.5em minus 0.4em\relax Harlow, England: Addison-Wesley, 1999. + +\end{thebibliography} + +% biography section +% +% If you have an EPS/PDF photo (graphicx package needed) extra braces are +% needed around the contents of the optional argument to biography to prevent +% the LaTeX parser from getting confused when it sees the complicated +% \includegraphics command within an optional argument. (You could create +% your own custom macro containing the \includegraphics command to make things +% simpler here.) +%\begin{biography}[{\includegraphics[width=1in,height=1.25in,clip,keepaspectratio]{mshell}}]{Michael Shell} +% or if you just want to reserve a space for a photo: + +\begin{IEEEbiography}{Michael Shell} +Biography text here. +\end{IEEEbiography} + +% if you will not have a photo at all: +\begin{IEEEbiographynophoto}{John Doe} +Biography text here. +\end{IEEEbiographynophoto} + +% insert where needed to balance the two columns on the last page with +% biographies +%\newpage + +\begin{IEEEbiographynophoto}{Jane Doe} +Biography text here. +\end{IEEEbiographynophoto} + +% You can push biographies down or up by placing +% a \vfill before or after them. The appropriate +% use of \vfill depends on what kind of text is +% on the last page and whether or not the columns +% are being equalized. + +%\vfill + +% Can be used to pull up biographies so that the bottom of the last one +% is flush with the other column. +%\enlargethispage{-5in} + + + +% that's all folks +\end{document} + + diff --git a/bare_conf.aux b/bare_conf.aux new file mode 100644 index 0000000..f53a537 --- /dev/null +++ b/bare_conf.aux @@ -0,0 +1,105 @@ +\relax +\citation{asc02} +\@writefile{toc}{\contentsline {section}{\numberline {I}Introduction}{1}} +\@writefile{toc}{\contentsline {section}{\numberline {II}\uppercase {Related work}}{1}} +\newlabel{rw}{{II}{1}} +\citation{Gallais06} +\citation{Tian02} +\citation{Ye03} +\citation{Zhang05} +\citation{HeinzelmanCB02} +\citation{Berman05efficientenergy} +\citation{1240799} +\citation{Tian02} +\citation{Prasad:2007:DAL:1782174.1782218} +\citation{chin2007} +\citation{Huang:2003:CPW:941350.941367} +\citation{Ye03} +\citation{cardei05} +\citation{Cardei:2006:ECP:1646656.1646898} +\citation{Slijepcevic01powerefficient} +\citation{cardei02} +\citation{Abrams:2004:SKA:984622.984684} +\citation{Slijepcevic01powerefficient} +\citation{Cardei:2005:IWS:1160086.1160098} +\citation{Slijepcevic01powerefficient} +\citation{Zorbas2007} +\citation{Slijepcevic01powerefficient} +\citation{Manju2011} +\citation{cardei05bis} +\citation{Cardei:2005:IWS:1160086.1160098} +\citation{berman04} +\citation{garg98} +\citation{pc10} +\citation{pc10} +\@writefile{toc}{\contentsline {section}{\numberline {III}\uppercase {Distributed coverage model}}{3}} +\newlabel{pd}{{III}{3}} +\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Multi-Round Coverage Protocol\relax }}{3}} +\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} +\newlabel{fig:4}{{1}{3}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {III-A}}\textbf INFO Exchange Phase}{3}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {III-B}}\textbf Leader Election Phase}{3}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {III-C}}\textbf Decision Phase}{3}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {III-D}}\textbf Sensing Phase}{3}} +\citation{Zhang05} +\citation{pedraza2006} +\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Wireless Sensor node represented by 13 principle points \relax }}{4}} +\newlabel{fig3}{{2}{4}} +\@writefile{toc}{\contentsline {section}{\numberline {IV}\uppercase {Coverage problem formulation}}{4}} +\newlabel{cp}{{IV}{4}} +\newlabel{eq13}{{3}{4}} +\newlabel{eq14}{{4}{4}} +\newlabel{eq:ip2r}{{5}{4}} +\citation{HeinzelmanCB02} +\bibcite{wns07}{1} +\@writefile{toc}{\contentsline {section}{\numberline {V}\uppercase {Simulation Results}}{5}} +\newlabel{exp}{{V}{5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-A}}The impact of the Number of Rounds on Coverage Ratio:}{5}} +\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces The impact of the Number of Rounds on Coverage Ratio.(a):subregion 1. (b): subregion 2 \relax }}{5}} +\newlabel{fig3}{{3}{5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-B}}The impact of the Number of Rounds on Energy Saving Ratio:}{5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-C}}The impact of the Number of Rounds on Active Sensor Ratio:}{5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-D}}The impact of Number of Sensors on Number of Rounds:}{5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-E}}The impact of Number of Sensors on Network Lifetime:}{5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-F}}The impact of Number of Sensors on Execution Time:}{5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-G}}Performance Comparison:}{5}} +\newlabel{Simulation Results}{{\unhbox \voidb@x \hbox {V-G}}{5}} +\@writefile{toc}{\contentsline {section}{\numberline {VI}\uppercase {Conclusions}}{5}} +\newlabel{sec:conclusion}{{VI}{5}} +\bibcite{dw60}{2} +\bibcite{asc02}{3} +\bibcite{pc10}{4} +\bibcite{Slijepcevic01powerefficient}{5} +\bibcite{Cardei:2005:IWS:1160086.1160098}{6} +\bibcite{Cardei05energy-efficienttarget}{7} +\bibcite{b04}{8} +\bibcite{Berman05efficientenergy}{9} +\bibcite{1240799}{10} +\bibcite{Prasad:2007:DAL:1782174.1782218}{11} +\bibcite{Zorbas:2010:SCP:1715927.1715956}{12} +\bibcite{Garey:1990:CIG:574848}{13} +\bibcite{Caprara98algorithmsfor}{14} +\bibcite{DBLP:journals/eor/AlfieriBBC07}{15} +\bibcite{Gu:2009:QTC:1673018.1673025}{16} +\bibcite{springerlink:10.1007/BF01594937}{17} +\bibcite{glpk}{18} +\bibcite{Garg98fasterand}{19} +\bibcite{Kuhn55}{20} +\bibcite{Cardei:2006:ECP:1646656.1646898}{21} +\bibcite{Manju2011}{22} +\bibcite{Abrams:2004:SKA:984622.984684}{23} +\bibcite{Zorbas2007}{24} +\bibcite{cardei02}{25} +\bibcite{cardei05}{26} +\bibcite{cardei05bis}{27} +\bibcite{berman04}{28} +\bibcite{garg98}{29} +\bibcite{Gallais06}{30} +\bibcite{Tian02}{31} +\bibcite{Ye03}{32} +\bibcite{Huang:2003:CPW:941350.941367}{33} +\bibcite{Zhang05}{34} +\bibcite{HeinzelmanCB02}{35} +\bibcite{pedraza2006}{36} +\bibcite{chin2007}{37} +\@writefile{toc}{\contentsline {section}{References}{6}} diff --git a/bare_conf.log b/bare_conf.log new file mode 100644 index 0000000..8b72263 --- /dev/null +++ b/bare_conf.log @@ -0,0 +1,1061 @@ +This is pdfTeX, Version 3.1415926-2.4-1.40.13 (TeX Live 2012/Debian) (format=pdflatex 2013.4.27) 30 JUL 2013 20:59 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**bare_conf.tex +(./bare_conf.tex +LaTeX2e <2011/06/27> +Babel and hyphenation patterns for english, dumylang, nohyphenation, et +hiopic, farsi, arabic, pinyin, croatian, bulgarian, ukrainian, russian, slovak, + czech, danish, dutch, usenglishmax, ukenglish, finnish, french, basque, ngerma +n, german, swissgerman, ngerman-x-2012-05-30, german-x-2012-05-30, monogreek, g +reek, ibycus, ancientgreek, hungarian, bengali, tamil, hindi, telugu, gujarati, + sanskrit, malayalam, kannada, assamese, marathi, oriya, panjabi, italian, lati +n, latvian, lithuanian, mongolian, mongolianlmc, nynorsk, bokmal, indonesian, e +speranto, coptic, welsh, irish, interlingua, serbian, serbianc, slovenian, friu +lan, romansh, estonian, romanian, armenian, uppersorbian, turkish, afrikaans, i +celandic, kurmanji, polish, portuguese, galician, catalan, spanish, swedish, th +ai, loaded. +(./IEEEtran.cls +Document Class: IEEEtran 2012/11/21 V1.8c by Harald Hanche-Olsen and Anders Chr +istensen +-- Based on V1.7a by Michael Shell +-- See the "IEEEtran_HOWTO" manual for usage information. +-- http://www.michaelshell.org/tex/ieeetran/ +\@IEEEtrantmpdimenA=\dimen102 +\@IEEEtrantmpdimenB=\dimen103 +\@IEEEtrantmpcountA=\count79 +\@IEEEtrantmpcountB=\count80 +\@IEEEtrantmptoksA=\toks14 +LaTeX Font Info: Try loading font information for OT1+ptm on input 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+\usepackage[linesnumbered,ruled,vlined,commentsnumbered]{algorithm2e} +\usepackage{epsfig} +\usepackage{caption} \usepackage{multicol} -\usepackage{pslatex} -\usepackage{apalike} -\usepackage{SciTePress} -\usepackage{algorithmic,algorithm} -\usepackage[small]{caption} -\subfigtopskip=0pt -\subfigcapskip=0pt -\subfigbottomskip=0pt \begin{document} -%title{Efficient heuristic building disjoint cover sets \\for target coverage problem in wireless sensor networks} -\title{ in wireless sensor networks} -\author{\authorname{Ali Khadum\sup{1},Karine Deschinkel\sup{1},Michel Salomon\sup{1}, Raphaël Couturier \sup{1}} -\affiliation{\sup{1}FEMTO-ST Institute, UMR CNRS, University of Franche-Comte, Belfort, France} -\email{\{ali.khadum, karine.deschinkel, michel.salomon, raphael.couturier\}@univ-fcomte.fr} +\title{Distributed Coverage Optimization Protocol to Improve the Lifetime in Heterogeneous Energy Wireless Sensor Networks} + + +% author names and affiliations +% use a multiple column layout for up to three different +% affiliations +\author{\IEEEauthorblockN{Ali Kadhum Idrees, Karine Deschinkel, Michel Salomon and Raphael Couturier } +\IEEEauthorblockA{FEMTO-ST Institute, UMR CNRS, University of Franche-Comte, Belfort, France \\ +Email:$\lbrace$ali.idness, karine.deschinkel, michel.salomon,raphael.couturier$\rbrace$@edu.univ-fcomte.fr } -\author{\authorname{~~} -\affiliation{~~~~~} -\email{~~~~~~~} +%\email{\{ali.idness, karine.deschinkel, michel.salomon, raphael.couturier\}@univ-fcomte.fr} +%\and +%\IEEEauthorblockN{Homer Simpson} +%\IEEEauthorblockA{FEMTO-ST Institute, UMR CNRS, University of Franche-Comte, Belfort, France} +%\and +%\IEEEauthorblockN{James Kirk\\ and Montgomery Scott} +%\IEEEauthorblockA{FEMTO-ST Institute, UMR CNRS, University of Franche-Comte, Belfort, France} } -\keywords{area coverage, wireless sensor networks, lifetime optimization.} -%\vspace{3cm} -\abstract{} -\onecolumn \maketitle \normalsize -%\vspace{3cm} -\section{\uppercase{Introduction}} -\label{sec:introduction} -%\vspace{1cm} +\maketitle + + +\begin{abstract} +%\boldmath +One of the fundamental challenges in Wireless Sensor Networks (WSNs) is Coverage preservation and extension of network lifetime continuously and effectively during monitoring a certain geographical area.In this paper +a distributed coverage optimization protocol to improve the lifetime in in Heterogeneous Energy Wireless Sensor Networks is proposed. The area of interest is divided into subregions using Divide-and-conquer method and an activity scheduling for sensor nodes is planned for each subregion.Our protocol is distributed in each subregion. It divides the network lifetime into activity rounds. In each round a small +number of active nodes is selected to ensure coverage.Each round includes four phases: INFO Exchange, Leader election, decision and sensing.Simulation results show that the proposed protocol can prolong the network +lifetime and improve network coverage effectively. + + +\end{abstract} + + %\keywords{Area Coverage, Wireless Sensor Networks, lifetime Optimization, Distributed Protocol.} + + + \IEEEpeerreviewmaketitle + + +\section{Introduction} \noindent Recent years have witnessed significant advances in wireless sensor networks which emerge as one of the most promising technologies for the 21st century~\cite{asc02}. In fact, they present huge potential in @@ -60,7 +95,7 @@ the lifetime of the network. In such a high density network, if all sensor nodes were to be activated at the same time, the lifetime would be reduced. Consequently, future software may need to adapt appropriately to achieve acceptable quality of service for applications. In this paper we concentrate on area coverage problem, with the objective of maximizing the network lifetime by using an adaptive scheduling. Area of interest is divided into subregions and an activity scheduling for sensor nodes is planned for each subregion. -Our scheduling scheme works in period which includes a discovery phase to exchange information between sensors of the subregion, then a sensor is chosen in suitable manner to carry out a coverage strategy. This coverage strategy involves the resolution of an integer program which provides the activation of the sensors for the $T$ next rounds, where $T$ is a parameter to adjust in efficient way. +Our scheduling scheme works in period which includes a discovery phase to exchange information between sensors of the subregion, then a sensor is chosen in suitable manner to carry out a coverage strategy. This coverage strategy involves the resolution of an integer program which provides the activation of the sensors for the $t$ next round. The remainder of the paper is organized as follows. @@ -161,51 +196,49 @@ Our algorithm tends to limit the overcoverage of points of interest to avoid tur As mentioned in \cite{pc10}, both centralized and distributed algorithms have their own advantages and disadvantages. Centralized coverage algorithms have the advantage of requiring very low processing power from the sensor nodes which have usually limited processing capabilities. Distributed algorithms are very adaptable to the dynamic and scalable nature of sensors network. Authors in \cite{pc10} concludes that there is a threshold in terms of network size to switch from a localized to a centralized algorithm. Indeed the exchange of messages in large networks may consume a considerable amount of energy in a localized approach compared to a centralized one. Our work does not consider only one leader to compute and to broadcast the schedule decision to all the sensors. When the size of network increases, the network is divided in many subregions and the decision is made by a leader in each subregion. \end{itemize} -%compromis entre centralize et distribue (voir article \cite{pc10}) -\section{\uppercase{Distributed coverage model}} + + \section{\uppercase{Distributed coverage model}} \label{pd} -We consider a randomly and uniformly deployed network consisting of static wireless sensors. The wireless sensors are deployed in high density to ensure initially a full coverage of the interested area. We assume that all nodes are homogeneous in terms of energy, communication, and processing capabilities. The location information is available to the sensor node either through hardware such as embedded GPS or through location discovery algorithms. -The area of interest can be divided using the divide-and-conquer strategy into smaller area called subregions and then our coverage algorithm will be implemented in each subregion simultaneously. Our algorithm works in period fashion as in figure \ref{fig:4}. +We consider a randomly and uniformly deployed network consisting of static wireless sensors. The wireless sensors are deployed in high density to ensure initially a full coverage of the interested area. We assume that all nodes are homogeneous in terms of communication and processing capabilities and heterogeneous in term of energy. The location information is available to the sensor node either through hardware such as embedded GPS or through location discovery algorithms. +The area of interest can be divided using the divide-and-conquer strategy into smaller area called subregions and then our coverage protocol will be implemented in each subregion simultaneously. Our protocol works in rounds fashion as in figure \ref{fig:4}. %Given the interested Area $A$, the wireless sensor nodes set $S=\lbrace s_1,\ldots,s_N \rbrace $ that are deployed randomly and uniformly in this area such that they are ensure a full coverage for A. The Area A is divided into regions $A=\lbrace A^1,\ldots,A^k,\ldots, A^{N_R} \rbrace$. We suppose that each sensor node $s_i$ know its location and its region. We will have a subset $SSET^k =\lbrace s_1,...,s_j,...,s_{N^k} \rbrace $ , where $s_N = s_{N^1} + s_{N^2} +,\ldots,+ s_{N^k} +,\ldots,+s_{N^R}$. Each sensor node $s_i$ has the same initial energy $IE_i$ in the first time and the current residual energy $RE_i$ equal to $IE_i$ in the first time for each $s_i$ in A. \\ \begin{figure}[ht!] \centering -\includegraphics [width=70mm]{Modelgeneral.eps} +\includegraphics [width=70mm]{FirstModel.eps} \caption{Multi-Round Coverage Protocol} \label{fig:4} \end{figure} -Each period is divided into 4 phases : INFO Exchange, Leader Election, Decision, and Sensing. The sensing phase works also in rounds. For each round there is exactly one set cover responsible for sensing task. If a working node fails unexpectedly in the interval of time of the round, the sensing task of the network will be affected temporarily, since a new set cover will take charge of the sensing task in the next round. The energy consumption and some other constraints can easily be taken into account since the sensors can update and then exchange the information (including their residual energy) at the beginning of each period. However, the preprocessing phase (discovery, leader selection, decision) are energy consuming for some nodes even when they not join the network to monitor the area. We describe each phase in more detail. +Each round is divided into 4 phases : INFO Exchange, Leader Election, Decision, and Sensing. For each round there is exactly one set cover responsible for sensing task. This protocol is more reliable against the unexpectedly node failure because it works into rounds,and if the node failure detected before taking the decision, the node will not participate in decision and if the the node failure obtain after the decision the sensing task of the network will be affected temporarily only during the period of sensing until starting new round, since a new set cover will take charge of the sensing task in the next round. The energy consumption and some other constraints can easily be taken into account since the sensors can update and then exchange the information (including their residual energy) at the beginning of each round. However, the preprocessing phase (INFO Exchange, leader Election, Decision) are energy consuming for some nodes even when they not join the network to monitor the area. We describe each phase in more detail. +\subsection{\textbf INFO Exchange Phase} +Each sensor node $j$ sends its position, remaining energy $RE_j$, number of local neighbours $NBR_j$ to all wireless sensor nodes in its subregion by using INFO packet and listen to the packets sent from other nodes. After that, each node will have information about all the sensor nodes in the subregion. In our model. -\subsection{\textbf Discovery Phase} - -Each sensor node $j$ sends its position, remaining energy $RE_j$, number of local neighbours $NBR_j$ to all wireless sensor nodes in its subregion by using INFO packet and listen to the packets sent from other nodes. After that, each node will have information about all the sensor nodes in the subregion. In our model, the remaining energy corresponds to the time that a sensor can live in the active mode. +% the remaining energy corresponds to the time that a sensor can live in the active mode. %\subsection{\textbf Working Phase:} %The working phase works in rounding fashion. Each round include 3 steps described as follow : -\subsection{\textbf Leader Selection Phase} +\subsection{\textbf Leader Election Phase} This step includes choosing the Wireless Sensor Node Leader (WSNL) which will be responsible of executing coverage algorithm to choose the list of active sensor nodes that contribute in covering the subregion. % The sensors in the same region are capable to communicate with each others using a routing protocol provided by the simulator OMNET++ in order to provide multi-hop communication protocol. The WSNL will be chosen based on the number of local neighbours $NBR_j$ of sensor node $s_j$ and it's remaining energy $RE_j$. -If we have more than one node has the same $NBR_j$ and $RE_j$, this leads to choose WSNL based on the largest index among them. Each subregion in the area of interest will select its WSNL independently for each period. +If we have more than one node has the same $NBR_j$ and $RE_j$, this leads to choose WSNL based on the largest index among them. Each subregion in the area of interest will select its WSNL independently for each round. \subsection{\textbf Decision Phase} -The WSNL will execute the algorithm PEC to select which sensors will be activated in the next rounds to cover the subregion. WSNL will send Active-Sleep packet to each sensor in the subregion based on algorithm's results. +The WSNL will execute the GLPK algorithm to select which sensors will be activated in the next rounds to cover the subregion. WSNL will send Active-Sleep packet to each sensor in the subregion based on algorithm's results. %The main goal in this step after choosing the WSNL is to produce the best representative active nodes set that will take the responsibility of covering the whole region $A^k$ with minimum number of sensor nodes to prolong the lifetime in the wireless sensor network. For our problem, in each round we need to select the minimum set of sensor nodes to improve the lifetime of the network and in the same time taking into account covering the region $A^k$ . We need an optimal solution with tradeoff between our two conflicting objectives. %The above region coverage problem can be formulated as a Multi-objective optimization problem and we can use the Binary Particle Swarm Optimization technique to solve it. \\ \subsection{\textbf Sensing Phase} -This phase can be divided in many rounds. Let be $T$ the number of rounds. $T$ is an adjustable parameter. Active sensors in each round will execute their sensing task. -%The algorithm will produce the best representative set of the active nodes that will take the mission of covering the sub region $A^k$ in Sensing step . -Since that we use a homogeneous wireless sensor network, we will assume that the cost of keeping a node awake for sensing task is the same for all wireless sensor nodes in the network. + The algorithm will produce the best representative set of the active nodes that will take the mission of coverage preservation in the subregion during the Sensing phase. Since that we use a homogeneous wireless sensor network, we will assume that the cost of keeping a node awake (or sleep) for sensing task is the same for all wireless sensor nodes in the network. @@ -384,9 +417,48 @@ There are two main objectives. We limit overcoverage of principle points in orde %\end{itemize} \section{\uppercase{Simulation Results}} \label{exp} -In this section, we evaluate the efficiency of PEC through conducting some simulations measuring the network lifetime with different number of sensors and different number of rounds for the sensing phase. -Coverage ratio measures how much area of a sensor field is covered. In our case, the coverage ratio is regarded as the number of principle points covered among the set of all prinicple points. +In this section, we conducted a series of simulations to evaluate the efficiency of our approach +based on the discrete event simulator OMNeT++ (http://www.omnetpp.org/).we conduct simulations for six +different densities varying from 50 to 300 nodes. Experimental results were obtained from randomly generated +networks in which nodes are deployed over a $ 50\times25(m2) $sensing field. For each network deployment, we +assume that the deployed nodes can fully cover the sensing field with the given sensing range. 100 simulation runs are performed with different network topologies. The results presented hereafter are the average of these 100 runs.Simulation ends when there is at least one active node has no connectivity with the network.Our proposed coverage protocol use the Radio energy dissipation model that defined by~\cite{HeinzelmanCB02} as energy consumption model by each wireless sensor node for transmitting and receiving the packets in the network.The energy of each node in the network is initialized randomly within the range 24-60 joules, and each sensor will consumes 0.2 watts during the period of sensing which it is 60 seconds.Each active node will consumes 12 joules during sensing phase and each sleep node will consumes 0.002 joules.Each sensor node will not participate in the next round if it's remaining energy less than 12 joules. In all experiments the parameters are given by $R_s = 5m $ , $ W_{\Theta} =1$ and $W_{\Psi} = P^2$. +We evaluate the efficiency of our approach using some performance metrics such as:coverage ratio, number of +active nodes ratio, energy saving ratio, number of rounds, network lifetime and execution time of our approach.Coverage ratio measures how much area of a sensor field is covered. In our case, the coverage ratio is regarded as the number of principle points covered among the set of all principle points within the field.In our simulation the sensing field is sub divided into two subregions each one equal to $ 25\times25(m2) $ of the sensing field. + +\subsection{The impact of the Number of Rounds on Coverage Ratio:} +In this experiment, we study the impact of the number of rounds on the coverage ratio and for different sizes for sensor network.For each Sensor network size we will take the average of coverage ratio per round and for 100 simulation.Fig. 3 show the impact of the number of rounds on coverage ratio for different network sizes and for two subregions. + + \begin{figure}[h!] +%\centering +% \begin{multicols}{6} +\centering +%\includegraphics[scale=0.10]{fig21.pdf}\\~ ~ ~(a) +%\includegraphics[scale=0.10]{fig22.pdf}\\~ ~ ~(b) +\includegraphics[scale=0.5]{CR2R2L_1.eps}\\~ ~ ~(a) +\includegraphics[scale=0.5]{CR2R2L_2.eps}\\~ ~ ~(b) +%\includegraphics[scale=0.10]{fig26.pdf}\\~ ~ ~(e) +%\includegraphics[scale=0.10]{fig27.pdf}\\~ ~ ~(f) +%\end{multicols} +\caption{The impact of the Number of Rounds on Coverage Ratio.(a):subregion 1. (b): subregion 2 } +\label{fig3} +\end{figure} + +As shown Fig. 3 (a) and (b) our protocol can give a full average coverage ratio in the first rounds and then it decreases when the number of rounds increases due to dead nodes.Although some nodes are dead, sensor activity scheduling choose other nodes to ensure the coverage of interest area. Moreover, when we have a dense sensor network, it leads to maintain the full coverage for larger number of rounds. + +\subsection{The impact of the Number of Rounds on Energy Saving Ratio:} + +\subsection{The impact of the Number of Rounds on Active Sensor Ratio:} + +\subsection{The impact of Number of Sensors on Number of Rounds:} + +\subsection{The impact of Number of Sensors on Network Lifetime:} + +\subsection{The impact of Number of Sensors on Execution Time:} + +\subsection{Performance Comparison:} \label{Simulation Results} + + \section{\uppercase{Conclusions}} \label{sec:conclusion} In this paper, we have addressed the problem of lifetime optimization in wireless sensor networks. This is a very @@ -399,9 +471,191 @@ To cope with this problem, -\bibliographystyle{apalike} -{\small -\bibliography{bibliocap1}} -\vfill + + +% use section* for acknowledgement +\section*{Acknowledgment} + + + + +\begin{thebibliography}{1} + + +\bibitem{wns07} + J. Wang, C. Niu, and R. 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Zelikovsky,~emph {Efficient energy management in sensor networks},~ Ad Hoc and Sensor Networks. Nova Science Publishers,~Nova Science Publisher,~2005. + +\bibitem{1240799} + J.~ Lu and T.~ Suda,~ emph{Coverage-aware self-scheduling in sensor networks},~ Proceedings. 2003 IEEE 18th Annual Workshop on Computer Communications CCW 2003,~pp.~117-123,~2003. + + +\bibitem{Prasad:2007:DAL:1782174.1782218} + S.~K.~Prasad, and A.~Dhawan,~emph{Distributed algorithms for lifetime of wireless sensor networks based on dependencies among cover sets},~Proceedings of the 14th international conference on High performance computing ,~HiPC'07,pp.~381--392,~2007. + + + +\bibitem{Zorbas:2010:SCP:1715927.1715956} + D.~ Zorbas ,~ D. Glynos ,~ P.~ Kotzanikolaou and C.~ Douligeris,~emph {Solving coverage problems in wireless sensor networks using cover sets},~ Ad Hoc Netw.,~ vol.~8,issue~4,~pp.~400--415,June~ 2010. + + +\bibitem{Garey:1990:CIG:574848} + M.~R.~ Garey and D.~S.~ Johnson,~ emph {Computers and Intractability; A Guide to the Theory of NP-Completeness},~ W. H. Freeman Co.,~1990. + + +\bibitem{Caprara98algorithmsfor} + A.~ Caprara ,~ M.~ Fischetti and P.~ Toth ,~ emph{Algorithms for the Set Covering Problem},~ Annals of Operations Research,~ vol.~98,~1998. + + +\bibitem{DBLP:journals/eor/AlfieriBBC07} + A.~Alfieri ,~ A.~ Bianco,~ P.~ Brandimarte and C. Chiasserini,~emph {Maximizing system lifetime in wireless sensor networks},~European Journal of Operational Research,~ vol.~181,~ No.~1,~pp.390-402,~2007. + + +\bibitem{Gu:2009:QTC:1673018.1673025} + Y.~ Gu,~ Y.~Ji,~ J. ~Li and B.~ Zhao,~emph {QoS-aware target coverage in wireless sensor networks},~Wirel. Commun. Mob. Comput.,~ vol.~9,~issue~12,~pp.~1645--1659,December~ 2009. + + +\bibitem{springerlink:10.1007/BF01594937} + Y.~ Ye,~emph{An O($n^3L$)) potential reduction algorithm for linear programming},~Mathematical Programming,~vol.~50,~issue~1,~ pp.~239-258,~ 1991. + + + +\bibitem{glpk} + A.~ Mahkorin,~emph {GNU Linear Programming Kit, Reference Manual},~2010. + +\bibitem{Garg98fasterand} + N.~ Garg and J.~ K\"{o}nemann,~emph {Faster and simpler algorithms for multicommodity flow and other fractional packing problems},~In Proceedings of the 39th Annual Symposium on Foundations of Computer Science,pp.~300--309,~ 1998. + + +\bibitem{Kuhn55} + H.~ W.~ Kuhn,~emph{The Hungarian Method for the assignment problem},~Naval Research Logistics Quarterly,~vol.~2,~pp.~83--97,~1955. + +\bibitem{Cardei:2006:ECP:1646656.1646898} +M.~Cardei and J.~ Wu,~emph {Energy-efficient coverage problems in wireless ad-hoc sensor networks},~Comput. Commun.,~ vol.~29,~ no.~4,~pp.~413--420,~February 2006. + + +\bibitem{Manju2011} + M.~ Chaudhary and A.~ K. ~ Pujari,~emph{High-Energy-First (HEF) Heuristic for Energy-Efficient Target Coverage Problem},~International Journal of Ad hoc, Sensor and Uniquitous computing (IJASUC),~ vol.~2, + ~no. ~1,~ 2011. + + + +\bibitem{Abrams:2004:SKA:984622.984684} +Z.~ Abrams,~ A. ~ Goel and S.~ Plotkin, ~ emph{Set k-cover algorithms for energy efficient monitoring in wireless sensor networks},~ Proceedings of the 3rd international symposium on Information processing in sensor networks,~pp.~ 424--432,~ 2004. + + + +\bibitem{Zorbas2007} +D.~ Zorbas ,~ D.~ Glynos ,~ P.~ Kotzanikolaou and C.~ Douligeris,~emph {B\{GOP\}: an adaptive coverage algorithm for wireless sensor networks},~Proceedings of the 13th European Wireless Conference,~Paris,~ France,~2007. + +\bibitem{cardei02} + M.~ Cardei ,~D.~ MacCallum ,~M.~ X.~ Cheng ,~M.~ Min ,~X.~ Jia ,~D.~ Li and + D.~ Du,~emph {Wireless Sensor Networks with Energy Efficient Organization},~Journal of Interconnection Networks,~ vol.~3,~ no.~3-4,pp.~213-229,~2002. + + + +\bibitem{cardei05} + M.~ Cardei ,~ J.~ Wu, N.~ Lu and M.~O.~ Pervaiz,~emph{Maximum Network Lifetime with Adjustable Range},~WiMob,~2005. + + +\bibitem{cardei05bis} + M.~ Cardei ,~ M.~ T.~ Thai ,~Y.~ Li and W.~ Wu,~emph {Energy-efficient target coverage in wireless sensor networks},~INFOCOM,~pp.~1976-1984,~2005. + + + +\bibitem{berman04} + P.~ Berman and G.~ Calinescu,~emph {Power Efficient Monitoring Management in Sensor Networks},~Proceedings of IEEE Wireless Communication and Networking Conference (WCNC'04),~pp.~2329--2334,~2004. + + +\bibitem{garg98} + N.~ Garg and J.~ Koenemann,~emph {Faster and Simpler Algorithms for Multicommodity Flow and other Fractional Packing Problems.},~Proceedings of the 39th Annual Symposium on Foundations of Computer Science,~pp.~300--309,~1998. + + +\bibitem{Gallais06} + A.~ Gallais,~ J.~ Carle ,~D. ~ Simplot-Ryl and I.~ Stojmenovic,~emph {Localized Sensor Area Coverage with Low Communication Overhead},~Proceedings of the Fourth Annual IEEE International Conference on Pervasive Computing and Communications,pp.~328--337,~2006. + +\bibitem{Tian02} + D. ~ Tian and N.~ D.~ Georganas, ~emph {A coverage-preserving node scheduling scheme for large wireless sensor networks},~Proceedings of the 1st ACM international workshop on Wireless sensor networks and applications,~pp.~ 32--41,~2002. + + +\bibitem{Ye03} +F. ~Ye,G.~ Zhong,~J.~ Cheng,~S.~ Lu and L. ~ Zhang,~emph {PEAS: A Robust Energy Conserving Protocol for Long-lived Sensor Networks},~ Proceedings of the 23rd International Conference on Distributed Computing Systems ICDCS'03,~pp.~ 28--37,~2003. + + + +\bibitem{Huang:2003:CPW:941350.941367} + C. ~ Huang and Y. ~ Tseng,~emph {The coverage problem in a wireless sensor network},~Proceedings of the 2nd ACM international conference on Wireless sensor networks and applications WSNA '03,~San Diego, CA, USA,~pp.~115-121,~ 2003. + + + + +\bibitem{Zhang05} + H.~ Zhang and J.~ C.~ Hou,~emph {Maintaining Sensing Coverage and Connectivity in Large Sensor + Networks},~Ad Hoc {\&} Sensor Wireless Networks,~ vol.~1,no.~ 1-2,~2005. + + +\bibitem{HeinzelmanCB02} + W.~ B.~ Heinzelman ,~ A.~ P.~ Chandrakasan and H.~ Balakrishnan,~emph {An application-specific protocol architecture for wireless microsensor networks},~IEEE Transactions on Wireless Communications,~ vol. ~1,~no. ~4,pp.~ 660-670,~2002. + + + +\bibitem{pedraza2006} + F. ~Pedraza,~A.~ L.~ Medaglia and A. ~ Garcia,~emph {Efficient coverage algorithms for wireless sensor networks},~Systems and Information Engineering Design Symposium,~ pp.~ 78 --83,~2006. + + +\bibitem{chin2007} +C.~ T. ~ Vu, ~ emph {An Energy-Efficient Distributed Algorithm for k-Coverage Problem in Wireless Sensor Networks},~GeorgiaState University,~2007. + + + + + + + + + +\end{thebibliography} + + + + + + +% that's all folks \end{document} + diff --git a/bibliocap1.bib b/bibliocap1.bib index caf979c..633b265 100644 --- a/bibliocap1.bib +++ b/bibliocap1.bib @@ -417,3 +417,4 @@ author = {Chinh Trung Vu}, school = {GeorgiaState University}, year = {2007}} + diff --git a/paperkd.blg b/paperkd.blg deleted file mode 100644 index 2311920..0000000 --- a/paperkd.blg +++ /dev/null @@ -1,47 +0,0 @@ -This is BibTeX, Version 0.99c (TeX Live 2009/Debian) -The top-level auxiliary file: paperkd.aux -The style file: apalike.bst -Database file #1: bibliocap1.bib -Warning--I didn't find a database entry for "" -You've used 24 entries, - 1935 wiz_defined-function locations, - 629 strings with 8779 characters, -and the built_in function-call counts, 11346 in all, are: -= -- 1158 -> -- 411 -< -- 27 -+ -- 146 -- -- 136 -* -- 871 -:= -- 1807 -add.period$ -- 77 -call.type$ -- 24 -change.case$ -- 187 -chr.to.int$ -- 24 -cite$ -- 24 -duplicate$ -- 509 -empty$ -- 833 -format.name$ -- 186 -if$ -- 2393 -int.to.chr$ -- 1 -int.to.str$ -- 0 -missing$ -- 23 -newline$ -- 123 -num.names$ -- 72 -pop$ -- 200 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